%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : SEU424+3 : TPTP v8.1.2. Released v3.4.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n007.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 16:31:36 EDT 2023

% Result   : Theorem 18.54s 18.76s
% Output   : Proof 18.54s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 1.15/1.24  % Problem    : SEU424+3 : TPTP v8.1.2. Released v3.4.0.
% 1.15/1.26  % Command    : do_cvc5 %s %d
% 1.27/1.47  % Computer : n007.cluster.edu
% 1.27/1.47  % Model    : x86_64 x86_64
% 1.27/1.47  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 1.27/1.47  % Memory   : 8042.1875MB
% 1.27/1.47  % OS       : Linux 3.10.0-693.el7.x86_64
% 1.27/1.47  % CPULimit   : 300
% 1.27/1.47  % WCLimit    : 300
% 1.27/1.47  % DateTime   : Wed Aug 23 21:58:43 EDT 2023
% 1.27/1.47  % CPUTime    : 
% 4.80/5.04  %----Proving TF0_NAR, FOF, or CNF
% 18.54/18.76  ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.g83tzEFjiI/cvc5---1.0.5_18642.p...
% 18.54/18.76  ------- get file name : TPTP file name is SEU424+3
% 18.54/18.76  ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_18642.smt2...
% 18.54/18.76  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 18.54/18.76  % SZS status Theorem for SEU424+3
% 18.54/18.76  % SZS output start Proof for SEU424+3
% 18.54/18.76  (
% 18.54/18.76  (let ((_let_1 (not (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted) (C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 A)) (forall ((D $$unsorted)) (=> (tptp.m2_relset_1 D A B) (tptp.m1_subset_1 (tptp.a_4_0_relset_2 A B C D) (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 B)))))))))))) (let ((_let_2 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 A)) (tptp.m2_relset_1 D A B)) (tptp.m1_subset_1 (tptp.a_4_0_relset_2 A B C D) (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 B))))))) (let ((_let_3 (tptp.v1_pre_topc tptp.k9_waybel18))) (let ((_let_4 (tptp.v2_t_0topsp tptp.k9_waybel18))) (let ((_let_5 (tptp.v2_pre_topc tptp.k9_waybel18))) (let ((_let_6 (not (tptp.v3_struct_0 tptp.k9_waybel18)))) (let ((_let_7 (tptp.k4_xboole_0 tptp.np__3 tptp.np__2))) (let ((_let_8 (tptp.k4_xboole_0 tptp.np__2 tptp.np__1))) (let ((_let_9 (tptp.k4_xboole_0 tptp.np__3 tptp.np__1))) (let ((_let_10 (tptp.k2_tarski tptp.np__1 tptp.np__2))) (let ((_let_11 (tptp.k1_tarski tptp.np__1))) (let ((_let_12 (tptp.g1_orders_2 tptp.k1_xboole_0 (tptp.k6_partfun1 tptp.k1_xboole_0)))) (let ((_let_13 (tptp.v6_altcat_1 tptp.k7_altcat_2))) (let ((_let_14 (tptp.k1_zfmisc_1 tptp.k1_numbers))) (let ((_let_15 (tptp.k7_altcat_1 tptp.np__1))) (let ((_let_16 (tptp.k6_relat_1 tptp.k1_xboole_0))) (let ((_let_17 (tptp.k1_tarski tptp.k1_xboole_0))) (let ((_let_18 (tptp.u1_group_1 tptp.k10_monoid_0))) (let ((_let_19 (tptp.u1_group_1 tptp.k9_monoid_0))) (let ((_let_20 (tptp.u1_struct_0 tptp.k9_monoid_0))) (let ((_let_21 (tptp.u1_group_1 tptp.k5_monoid_0))) (let ((_let_22 (tptp.u1_struct_0 tptp.k5_monoid_0))) (let ((_let_23 (tptp.g1_group_1 tptp.k1_numbers tptp.k33_binop_2))) (let ((_let_24 (tptp.l1_group_1 tptp.k3_gr_cy_1))) (let ((_let_25 (tptp.v4_group_1 tptp.k3_gr_cy_1))) (let ((_let_26 (tptp.v3_group_1 tptp.k3_gr_cy_1))) (let ((_let_27 (not (tptp.v3_struct_0 tptp.k3_gr_cy_1)))) (let ((_let_28 (tptp.g1_group_1 tptp.k4_numbers tptp.k44_binop_2))) (let ((_let_29 (tptp.v2_pre_topc tptp.k3_topmetr))) (let ((_let_30 (tptp.v1_pre_topc tptp.k3_topmetr))) (let ((_let_31 (tptp.u1_struct_0 tptp.k22_borsuk_1))) (let ((_let_32 (tptp.v10_lattices tptp.k13_nat_lat))) (let ((_let_33 (not (tptp.v3_struct_0 tptp.k13_nat_lat)))) (let ((_let_34 (tptp.k2_zfmisc_1 tptp.k7_nat_lat tptp.k7_nat_lat))) (let ((_let_35 (tptp.l3_lattices tptp.k6_nat_lat))) (let ((_let_36 (tptp.v10_lattices tptp.k6_nat_lat))) (let ((_let_37 (not (tptp.v3_struct_0 tptp.k6_nat_lat)))) (let ((_let_38 (tptp.g3_lattices tptp.k5_numbers tptp.k2_nat_lat tptp.k1_nat_lat))) (let ((_let_39 (tptp.u1_struct_0 _let_38))) (let ((_let_40 (tptp.k2_zfmisc_1 tptp.k5_numbers tptp.k5_numbers))) (let ((_let_41 (tptp.v1_metric_1 tptp.k8_metric_1))) (let ((_let_42 (tptp.k2_zfmisc_1 tptp.k1_numbers tptp.k1_numbers))) (let ((_let_43 (tptp.k2_zfmisc_1 _let_17 _let_17))) (let ((_let_44 (not (tptp.v3_struct_0 tptp.k8_metric_1)))) (let ((_let_45 (tptp.v3_vectsp_1 tptp.k3_vectsp_1))) (let ((_let_46 (tptp.v1_rlvect_1 tptp.k1_vectsp_1))) (let ((_let_47 (tptp.k2_group_1 tptp.k3_vectsp_1))) (let ((_let_48 (tptp.v2_group_1 tptp.k3_vectsp_1))) (let ((_let_49 (not (tptp.v3_struct_0 tptp.k3_vectsp_1)))) (let ((_let_50 (not (tptp.v3_struct_0 tptp.k1_vectsp_1)))) (let ((_let_51 (tptp.v4_group_1 _let_23))) (let ((_let_52 (tptp.v3_group_1 _let_23))) (let ((_let_53 (tptp.v1_finseq_1 tptp.k1_xboole_0))) (let ((_let_54 (tptp.v1_finset_1 tptp.k1_xboole_0))) (let ((_let_55 (tptp.v2_funct_1 tptp.k1_xboole_0))) (let ((_let_56 (tptp.v1_funct_1 tptp.k1_xboole_0))) (let ((_let_57 (tptp.v3_relat_1 tptp.k1_xboole_0))) (let ((_let_58 (tptp.v1_relat_1 tptp.k1_xboole_0))) (let ((_let_59 (tptp.v1_xboole_0 tptp.k1_xboole_0))) (let ((_let_60 (tptp.k3_card_1 tptp.np__0))) (let ((_let_61 (tptp.k6_finseq_1 tptp.k1_numbers))) (let ((_let_62 (tptp.v3_relat_2 tptp.k1_xboole_0))) (let ((_let_63 (tptp.v1_relat_2 tptp.k1_xboole_0))) (let ((_let_64 (tptp.v8_relat_2 tptp.k1_xboole_0))) (let ((_let_65 (tptp.v7_relat_2 tptp.k1_xboole_0))) (let ((_let_66 (tptp.v6_relat_2 tptp.k1_xboole_0))) (let ((_let_67 (tptp.v5_relat_2 tptp.k1_xboole_0))) (let ((_let_68 (tptp.v4_relat_2 tptp.k1_xboole_0))) (let ((_let_69 (tptp.v2_relat_2 tptp.k1_xboole_0))) (let ((_let_70 (tptp.k12_mcart_1 tptp.k1_numbers tptp.k1_numbers tptp.k5_numbers tptp.k5_numbers))) (let ((_let_71 (tptp.k1_card_1 tptp.k5_numbers))) (let ((_let_72 (tptp.v5_membered tptp.k5_ordinal2))) (let ((_let_73 (tptp.v4_membered tptp.k5_ordinal2))) (let ((_let_74 (tptp.v3_membered tptp.k5_ordinal2))) (let ((_let_75 (tptp.v2_membered tptp.k5_ordinal2))) (let ((_let_76 (tptp.v1_membered tptp.k5_ordinal2))) (let ((_let_77 (tptp.v3_ordinal1 tptp.k5_ordinal2))) (let ((_let_78 (tptp.v2_ordinal1 tptp.k5_ordinal2))) (let ((_let_79 (tptp.v1_ordinal1 tptp.k5_ordinal2))) (let ((_let_80 (not (tptp.v1_xboole_0 tptp.k5_ordinal2)))) (let ((_let_81 (tptp.k1_pboole tptp.k1_xboole_0))) (let ((_let_82 (tptp.k1_zfmisc_1 tptp.k1_qc_lang1))) (let ((_let_83 (tptp.k4_tarski tptp.np__0 tptp.np__0))) (let ((_let_84 (tptp.k4_classes1 tptp.k5_ordinal2))) (let ((_let_85 (tptp.k1_card_1 tptp.k5_ordinal2))) (let ((_let_86 (not (tptp.v1_xboole_0 tptp.k4_numbers)))) (let ((_let_87 (not (tptp.v1_xboole_0 tptp.k3_numbers)))) (let ((_let_88 (not (tptp.v1_xboole_0 tptp.k1_numbers)))) (let ((_let_89 (not (tptp.v1_xboole_0 tptp.k2_numbers)))) (let ((_let_90 (tptp.v1_funct_2 tptp.k48_binop_2 _let_40 tptp.k5_numbers))) (let ((_let_91 (tptp.v1_funct_1 tptp.k48_binop_2))) (let ((_let_92 (tptp.v1_funct_2 tptp.k47_binop_2 _let_40 tptp.k5_numbers))) (let ((_let_93 (tptp.v1_funct_1 tptp.k47_binop_2))) (let ((_let_94 (tptp.k2_zfmisc_1 tptp.k4_numbers tptp.k4_numbers))) (let ((_let_95 (tptp.v1_funct_2 tptp.k46_binop_2 _let_94 tptp.k4_numbers))) (let ((_let_96 (tptp.v1_funct_1 tptp.k46_binop_2))) (let ((_let_97 (tptp.v1_funct_2 tptp.k44_binop_2 _let_94 tptp.k4_numbers))) (let ((_let_98 (tptp.v1_funct_1 tptp.k44_binop_2))) (let ((_let_99 (tptp.k2_zfmisc_1 tptp.k3_numbers tptp.k3_numbers))) (let ((_let_100 (tptp.v1_funct_2 tptp.k41_binop_2 _let_99 tptp.k3_numbers))) (let ((_let_101 (tptp.v1_funct_1 tptp.k41_binop_2))) (let ((_let_102 (tptp.v1_funct_2 tptp.k39_binop_2 _let_99 tptp.k3_numbers))) (let ((_let_103 (tptp.v1_funct_1 tptp.k39_binop_2))) (let ((_let_104 (tptp.v1_funct_2 tptp.k35_binop_2 _let_42 tptp.k1_numbers))) (let ((_let_105 (tptp.v1_funct_1 tptp.k35_binop_2))) (let ((_let_106 (tptp.v1_funct_2 tptp.k33_binop_2 _let_42 tptp.k1_numbers))) (let ((_let_107 (tptp.v1_funct_1 tptp.k33_binop_2))) (let ((_let_108 (tptp.k2_zfmisc_1 tptp.k2_numbers tptp.k2_numbers))) (let ((_let_109 (tptp.v1_funct_2 tptp.k29_binop_2 _let_108 tptp.k2_numbers))) (let ((_let_110 (tptp.v1_funct_1 tptp.k29_binop_2))) (let ((_let_111 (tptp.v1_funct_2 tptp.k27_binop_2 _let_108 tptp.k2_numbers))) (let ((_let_112 (tptp.v1_funct_1 tptp.k27_binop_2))) (let ((_let_113 (tptp.v2_binop_1 tptp.k48_binop_2 tptp.k5_numbers))) (let ((_let_114 (tptp.v1_binop_1 tptp.k48_binop_2 tptp.k5_numbers))) (let ((_let_115 (tptp.v2_binop_1 tptp.k46_binop_2 tptp.k4_numbers))) (let ((_let_116 (tptp.v1_binop_1 tptp.k46_binop_2 tptp.k4_numbers))) (let ((_let_117 (tptp.v2_binop_1 tptp.k41_binop_2 tptp.k3_numbers))) (let ((_let_118 (tptp.v1_binop_1 tptp.k41_binop_2 tptp.k3_numbers))) (let ((_let_119 (tptp.v2_binop_1 tptp.k35_binop_2 tptp.k1_numbers))) (let ((_let_120 (tptp.v1_binop_1 tptp.k35_binop_2 tptp.k1_numbers))) (let ((_let_121 (tptp.v2_binop_1 tptp.k29_binop_2 tptp.k2_numbers))) (let ((_let_122 (tptp.v1_binop_1 tptp.k29_binop_2 tptp.k2_numbers))) (let ((_let_123 (tptp.v2_binop_1 tptp.k47_binop_2 tptp.k5_numbers))) (let ((_let_124 (tptp.v1_binop_1 tptp.k47_binop_2 tptp.k5_numbers))) (let ((_let_125 (tptp.v2_binop_1 tptp.k44_binop_2 tptp.k4_numbers))) (let ((_let_126 (tptp.v1_binop_1 tptp.k44_binop_2 tptp.k4_numbers))) (let ((_let_127 (tptp.v2_binop_1 tptp.k39_binop_2 tptp.k3_numbers))) (let ((_let_128 (tptp.v1_binop_1 tptp.k39_binop_2 tptp.k3_numbers))) (let ((_let_129 (tptp.v2_binop_1 tptp.k33_binop_2 tptp.k1_numbers))) (let ((_let_130 (tptp.v1_binop_1 tptp.k33_binop_2 tptp.k1_numbers))) (let ((_let_131 (tptp.v2_binop_1 tptp.k27_binop_2 tptp.k2_numbers))) (let ((_let_132 (tptp.v1_binop_1 tptp.k27_binop_2 tptp.k2_numbers))) (let ((_let_133 (tptp.k1_tarski _let_83))) (let ((_let_134 (tptp.k1_tarski tptp.np__0))) (let ((_let_135 (tptp.r2_hidden tptp.k1_xboole_0 tptp.f1_s4_ordinal2))) (let ((_let_136 (= (tptp.k2_relat_1 tptp.k1_xboole_0) tptp.k1_xboole_0))) (let ((_let_137 (tptp.v3_ordinal1 tptp.k1_xboole_0))) (let ((_let_138 (forall ((A $$unsorted) (BOUND_VARIABLE_1186677 $$unsorted) (BOUND_VARIABLE_1186675 $$unsorted) (BOUND_VARIABLE_1186673 $$unsorted)) (or (tptp.v1_xboole_0 A) (not (tptp.m1_subset_1 BOUND_VARIABLE_1186675 (tptp.k1_zfmisc_1 A))) (not (tptp.m2_relset_1 BOUND_VARIABLE_1186677 A BOUND_VARIABLE_1186673)) (tptp.m1_subset_1 (tptp.a_4_0_relset_2 A BOUND_VARIABLE_1186673 BOUND_VARIABLE_1186675 BOUND_VARIABLE_1186677) (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 BOUND_VARIABLE_1186673))))))) (let ((_let_139 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (or (tptp.v1_xboole_0 A) (not (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 A))) (not (tptp.m2_relset_1 D A B)) (tptp.m1_subset_1 (tptp.a_4_0_relset_2 A B C D) (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 B))))))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))) (MACRO_RESOLUTION_TRUST (REORDERING (EQUIV_ELIM1 (THEORY_LEMMA :args ((= _let_139 _let_138) THEORY_QUANTIFIERS))) :args ((or _let_138 (not _let_139)))) (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))) :args (_let_138 false _let_139)) :args (false false _let_138)) :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 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.r1_tarski A B) (forall ((C $$unsorted)) (=> (tptp.r2_hidden C A) (tptp.r2_hidden C B))))) (forall ((A $$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 $$unsorted)) (not (and (tptp.r2_hidden D B) (tptp.r2_hidden D C)))))))))) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.k4_tarski A B) (tptp.k2_tarski (tptp.k2_tarski A B) (tptp.k1_tarski A)))) true (forall ((A $$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)))))))) (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_59 (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))))))) (forall ((A $$unsorted)) (= (tptp.v1_xboole_0 A) (= A tptp.k1_xboole_0))) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.k5_xboole_0 A B) (tptp.k2_xboole_0 (tptp.k4_xboole_0 A B) (tptp.k4_xboole_0 B A)))) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.r1_xboole_0 A B) (= (tptp.k3_xboole_0 A B) tptp.k1_xboole_0))) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.r2_xboole_0 A B) (and (tptp.r1_tarski A B) (not (= A B))))) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.r3_xboole_0 A B) (or (tptp.r1_tarski A B) (tptp.r1_tarski B A)))) (forall ((A $$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))) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.k4_xboole_0 A (tptp.k4_xboole_0 A B)) (tptp.k3_xboole_0 A B))) (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 $$unsorted)) (= (tptp.r2_hidden J I) (not (and (not (= J A)) (not (= J B)) (not (= J C)) (not (= J D)) (not (= J E)) (not (= J F)) (not (= J G)) (not (= J H)))))))) true true true true true true true true true true true true true true true true true true true true true true true true true true true true true true true true true true true true true true true true (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.k2_tarski A B) (tptp.k2_xboole_0 (tptp.k1_tarski A) (tptp.k1_tarski B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.k1_enumset1 A B C) (tptp.k2_xboole_0 (tptp.k1_tarski A) (tptp.k2_tarski B C)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.k1_enumset1 A B C) (tptp.k2_xboole_0 (tptp.k2_tarski A B) (tptp.k1_tarski C)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (= (tptp.k2_enumset1 A B C D) (tptp.k2_xboole_0 (tptp.k1_tarski A) (tptp.k1_enumset1 B C D)))) (forall ((A $$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 $$unsorted)) (= (tptp.k2_enumset1 A B C D) (tptp.k2_xboole_0 (tptp.k1_enumset1 A B C) (tptp.k1_tarski D)))) (forall ((A $$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)))) (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 $$unsorted)) (= (tptp.k3_enumset1 A B C D E) (tptp.k2_xboole_0 (tptp.k2_enumset1 A B C D) (tptp.k1_tarski E)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted)) (= (tptp.k4_enumset1 A B C D E F) (tptp.k2_xboole_0 (tptp.k1_tarski A) (tptp.k3_enumset1 B C D E F)))) (forall ((A $$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 $$unsorted)) (= (tptp.k4_enumset1 A B C D E F) (tptp.k2_xboole_0 (tptp.k3_enumset1 A B C D E) (tptp.k1_tarski F)))) (forall ((A $$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)))) (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 $$unsorted)) (= (tptp.k5_enumset1 A B C D E F G) (tptp.k2_xboole_0 (tptp.k4_enumset1 A B C D E F) (tptp.k1_tarski G)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted) (G $$unsorted) (H $$unsorted)) (= (tptp.k6_enumset1 A B C D E F G H) (tptp.k2_xboole_0 (tptp.k1_tarski A) (tptp.k5_enumset1 B C D E F G H)))) (forall ((A $$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)))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.k3_zfmisc_1 A B C) (tptp.k2_zfmisc_1 (tptp.k2_zfmisc_1 A B) C))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (= (tptp.k4_zfmisc_1 A B C D) (tptp.k2_zfmisc_1 (tptp.k3_zfmisc_1 A B C) D))) (= (tptp.k1_zfmisc_1 tptp.k1_xboole_0) _let_17) (= (tptp.k3_tarski tptp.k1_xboole_0) tptp.k1_xboole_0) true true true (forall ((A $$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 $$unsorted)) (= (tptp.r2_hidden A (tptp.k4_xboole_0 B (tptp.k1_tarski C))) (and (tptp.r2_hidden A B) (not (= A C))))) (forall ((A $$unsorted) (B $$unsorted)) (= (= (tptp.k4_xboole_0 A (tptp.k1_tarski B)) A) (not (tptp.r2_hidden B A)))) (forall ((A $$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 $$unsorted)) (let ((_let_1 (tptp.m1_subset_1 B A))) (let ((_let_2 (tptp.v1_xboole_0 A))) (and (=> (not _let_2) (= _let_1 (tptp.r2_hidden B A))) (=> _let_2 (= _let_1 (tptp.v1_xboole_0 B))))))) (forall ((A $$unsorted)) (= (tptp.k1_subset_1 A) tptp.k1_xboole_0)) (forall ((A $$unsorted)) (= (tptp.k2_subset_1 A) A)) true true true (forall ((A $$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 $$unsorted)) (= (tptp.k1_setfam_1 (tptp.k2_tarski A B)) (tptp.k3_xboole_0 A B))) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.r1_setfam_1 A B) (forall ((C $$unsorted)) (not (and (tptp.r2_hidden C A) (forall ((D $$unsorted)) (not (and (tptp.r2_hidden D B) (tptp.r1_tarski C D))))))))) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.r2_setfam_1 A B) (forall ((C $$unsorted)) (not (and (tptp.r2_hidden C B) (forall ((D $$unsorted)) (not (and (tptp.r2_hidden D A) (tptp.r1_tarski D C))))))))) true true true true (forall ((A $$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 $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 A))) (=> (= B (tptp.k1_tarski A)) (= (tptp.k7_setfam_1 A B) (tptp.k1_tarski tptp.k1_xboole_0))))) (forall ((A $$unsorted)) (= (tptp.v1_setfam_1 A) (not (tptp.r2_hidden tptp.k1_xboole_0 A)))) (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))))))) (forall ((A $$unsorted)) (= (tptp.v2_setfam_1 A) (forall ((B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (not (tptp.r2_hidden B A)))))) (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_59 _let_58) (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_59 _let_58 _let_57) (exists ((A $$unsorted)) (and (tptp.v1_relat_1 A) (tptp.v3_relat_1 A))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k7_relat_1 A B))) (=> (and (tptp.v1_relat_1 A) (tptp.v3_relat_1 A)) (and (tptp.v1_relat_1 _let_1) (tptp.v3_relat_1 _let_1))))) (forall ((A $$unsorted)) (= (tptp.v1_relat_1 A) (forall ((B $$unsorted)) (not (and (tptp.r2_hidden B A) (forall ((C $$unsorted) (D $$unsorted)) (not (= B (tptp.k4_tarski C D))))))))) true true (forall ((A $$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 $$unsorted)) (not (tptp.r2_hidden (tptp.k4_tarski B C) A))) (= A tptp.k1_xboole_0)))) true true true (and (= (tptp.k1_relat_1 tptp.k1_xboole_0) tptp.k1_xboole_0) _let_136) true (forall ((A $$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))) (= _let_16 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)))) (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))))) 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 $$unsorted)) (=> (tptp.v1_xboole_0 A) (and (tptp.v1_ordinal1 A) (tptp.v2_ordinal1 A) (tptp.v3_ordinal1 A)))) (and _let_58 _let_57 _let_56 _let_55 _let_59 (tptp.v1_ordinal1 tptp.k1_xboole_0) (tptp.v2_ordinal1 tptp.k1_xboole_0) _let_137) (exists ((A $$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)))) (forall ((A $$unsorted)) (= (tptp.k1_ordinal1 A) (tptp.k2_xboole_0 A (tptp.k1_tarski A)))) true true (forall ((A $$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 $$unsorted)) (not (= A (tptp.k1_ordinal1 A)))) (forall ((A $$unsorted)) (= (tptp.v1_ordinal1 A) (forall ((B $$unsorted)) (=> (tptp.r2_hidden B A) (tptp.r1_tarski B A))))) (forall ((A $$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))))))) (forall ((A $$unsorted)) (= (tptp.v3_ordinal1 A) (and (tptp.v1_ordinal1 A) (tptp.v2_ordinal1 A)))) true true true true (forall ((A $$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 $$unsorted)) (=> (tptp.v3_ordinal1 B) (or (tptp.r1_ordinal1 A B) (tptp.r2_hidden B A)))))) _let_137 true (forall ((A $$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 $$unsorted)) (=> (tptp.v3_ordinal1 C) (=> (not (tptp.r2_hidden C A)) (tptp.r1_ordinal1 B C))))))) true (forall ((A $$unsorted)) (= (tptp.v4_ordinal1 A) (= A (tptp.k3_tarski A)))) 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))))) (forall ((A $$unsorted)) (= (tptp.v6_ordinal1 A) (forall ((B $$unsorted) (C $$unsorted)) (=> (and (tptp.r2_hidden B A) (tptp.r2_hidden C A)) (tptp.r3_xboole_0 B C))))) (forall ((A $$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 $$unsorted)) (=> (tptp.v1_relat_1 A) (forall ((B $$unsorted) (C $$unsorted)) (= (= C (tptp.k1_wellord1 A B)) (forall ((D $$unsorted)) (= (tptp.r2_hidden D C) (and (not (= D B)) (tptp.r2_hidden (tptp.k4_tarski D B) A)))))))) true (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.v1_relat_1 B) (or (tptp.r2_hidden A (tptp.k3_relat_1 B)) (= (tptp.k1_wellord1 B A) tptp.k1_xboole_0)))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (= (tptp.v1_wellord1 A) (forall ((B $$unsorted)) (not (and (tptp.r1_tarski B (tptp.k3_relat_1 A)) (not (= B tptp.k1_xboole_0)) (forall ((C $$unsorted)) (not (and (tptp.r2_hidden C B) (tptp.r1_xboole_0 (tptp.k1_wellord1 A C) B)))))))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (forall ((B $$unsorted)) (= (tptp.r1_wellord1 A B) (forall ((C $$unsorted)) (not (and (tptp.r1_tarski C B) (not (= C tptp.k1_xboole_0)) (forall ((D $$unsorted)) (not (and (tptp.r2_hidden D C) (tptp.r1_xboole_0 (tptp.k1_wellord1 A D) C))))))))))) true true (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (= (tptp.v1_wellord1 A) (tptp.r1_wellord1 A (tptp.k3_relat_1 A))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (= (tptp.v2_wellord1 A) (and (tptp.v1_relat_2 A) (tptp.v8_relat_2 A) (tptp.v4_relat_2 A) (tptp.v6_relat_2 A) (tptp.v1_wellord1 A))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (forall ((B $$unsorted)) (= (tptp.r2_wellord1 A B) (and (tptp.r1_relat_2 A B) (tptp.r8_relat_2 A B) (tptp.r4_relat_2 A B) (tptp.r6_relat_2 A B) (tptp.r1_wellord1 A B)))))) true true (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (= (tptp.r2_wellord1 A (tptp.k3_relat_1 A)) (tptp.v2_wellord1 A)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.v1_relat_1 B) (=> (tptp.r2_wellord1 B A) (forall ((C $$unsorted)) (not (and (tptp.r1_tarski C A) (not (= C tptp.k1_xboole_0)) (forall ((D $$unsorted)) (not (and (tptp.r2_hidden D C) (forall ((E $$unsorted)) (=> (tptp.r2_hidden E C) (tptp.r2_hidden (tptp.k4_tarski D E) B)))))))))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (=> (tptp.v2_wellord1 A) (forall ((B $$unsorted)) (not (and (tptp.r1_tarski B (tptp.k3_relat_1 A)) (not (= B tptp.k1_xboole_0)) (forall ((C $$unsorted)) (not (and (tptp.r2_hidden C B) (forall ((D $$unsorted)) (=> (tptp.r2_hidden D B) (tptp.r2_hidden (tptp.k4_tarski C D) A)))))))))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (not (and (tptp.v2_wellord1 A) (not (= (tptp.k3_relat_1 A) tptp.k1_xboole_0)) (forall ((B $$unsorted)) (not (and (tptp.r2_hidden B (tptp.k3_relat_1 A)) (forall ((C $$unsorted)) (=> (tptp.r2_hidden C (tptp.k3_relat_1 A)) (tptp.r2_hidden (tptp.k4_tarski B C) A)))))))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (=> (tptp.v2_wellord1 A) (or (= (tptp.k3_relat_1 A) tptp.k1_xboole_0) (forall ((B $$unsorted)) (not (and (tptp.r2_hidden B (tptp.k3_relat_1 A)) (exists ((C $$unsorted)) (and (tptp.r2_hidden C (tptp.k3_relat_1 A)) (not (tptp.r2_hidden (tptp.k4_tarski C B) A)))) (forall ((C $$unsorted)) (not (and (tptp.r2_hidden C (tptp.k3_relat_1 A)) (tptp.r2_hidden (tptp.k4_tarski B C) A) (forall ((D $$unsorted)) (not (and (tptp.r2_hidden D (tptp.k3_relat_1 A)) (tptp.r2_hidden (tptp.k4_tarski B D) A) (not (= D B)) (not (tptp.r2_hidden (tptp.k4_tarski C D) A))))))))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.v1_relat_1 B) (tptp.r1_tarski (tptp.k1_wellord1 B A) (tptp.k3_relat_1 B)))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (forall ((B $$unsorted)) (= (tptp.k2_wellord1 A B) (tptp.k3_xboole_0 A (tptp.k2_zfmisc_1 B B)))))) true (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k2_wellord1 B A))) (=> (tptp.v1_relat_1 B) (and (tptp.r1_tarski _let_1 B) (tptp.r1_tarski _let_1 (tptp.k2_zfmisc_1 A A)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.v1_relat_1 C) (= (tptp.r2_hidden A (tptp.k2_wellord1 C B)) (and (tptp.r2_hidden A C) (tptp.r2_hidden A (tptp.k2_zfmisc_1 B B)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.v1_relat_1 B) (= (tptp.k2_wellord1 B A) (tptp.k7_relat_1 (tptp.k8_relat_1 A B) A)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.v1_relat_1 B) (= (tptp.k2_wellord1 B A) (tptp.k8_relat_1 A (tptp.k7_relat_1 B A))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.v1_relat_1 C) (=> (tptp.r2_hidden A (tptp.k3_relat_1 (tptp.k2_wellord1 C B))) (and (tptp.r2_hidden A (tptp.k3_relat_1 C)) (tptp.r2_hidden A B))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k3_relat_1 (tptp.k2_wellord1 B A)))) (=> (tptp.v1_relat_1 B) (and (tptp.r1_tarski _let_1 (tptp.k3_relat_1 B)) (tptp.r1_tarski _let_1 A))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.v1_relat_1 C) (tptp.r1_tarski (tptp.k1_wellord1 (tptp.k2_wellord1 C A) B) (tptp.k1_wellord1 C B)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.v1_relat_1 B) (=> (tptp.v1_relat_2 B) (tptp.v1_relat_2 (tptp.k2_wellord1 B A))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.v1_relat_1 B) (=> (tptp.v6_relat_2 B) (tptp.v6_relat_2 (tptp.k2_wellord1 B A))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.v1_relat_1 B) (=> (tptp.v8_relat_2 B) (tptp.v8_relat_2 (tptp.k2_wellord1 B A))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.v1_relat_1 B) (=> (tptp.v4_relat_2 B) (tptp.v4_relat_2 (tptp.k2_wellord1 B A))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.v1_relat_1 C) (= (tptp.k2_wellord1 (tptp.k2_wellord1 C A) B) (tptp.k2_wellord1 C (tptp.k3_xboole_0 A B))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.v1_relat_1 C) (= (tptp.k2_wellord1 (tptp.k2_wellord1 C A) B) (tptp.k2_wellord1 (tptp.k2_wellord1 C B) A)))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k2_wellord1 B A))) (=> (tptp.v1_relat_1 B) (= (tptp.k2_wellord1 _let_1 A) _let_1)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.v1_relat_1 C) (=> (tptp.r1_tarski A B) (= (tptp.k2_wellord1 (tptp.k2_wellord1 C B) A) (tptp.k2_wellord1 C A))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (= (tptp.k2_wellord1 A (tptp.k3_relat_1 A)) A))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.v1_relat_1 B) (=> (tptp.v1_wellord1 B) (tptp.v1_wellord1 (tptp.k2_wellord1 B A))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.v1_relat_1 B) (=> (tptp.v2_wellord1 B) (tptp.v2_wellord1 (tptp.k2_wellord1 B A))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.v1_relat_1 C) (=> (tptp.v2_wellord1 C) (tptp.r3_xboole_0 (tptp.k1_wellord1 C A) (tptp.k1_wellord1 C B))))) true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k1_wellord1 C A))) (=> (tptp.v1_relat_1 C) (=> (and (tptp.v2_wellord1 C) (tptp.r2_hidden A (tptp.k3_relat_1 C)) (tptp.r2_hidden B _let_1)) (= (tptp.k1_wellord1 (tptp.k2_wellord1 C _let_1) B) (tptp.k1_wellord1 C B)))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k3_relat_1 B))) (=> (tptp.v1_relat_1 B) (=> (and (tptp.v2_wellord1 B) (tptp.r1_tarski A _let_1)) (= (not (and (not (= A _let_1)) (forall ((C $$unsorted)) (not (and (tptp.r2_hidden C (tptp.k3_relat_1 B)) (= A (tptp.k1_wellord1 B C))))))) (forall ((C $$unsorted)) (=> (tptp.r2_hidden C A) (forall ((D $$unsorted)) (=> (tptp.r2_hidden (tptp.k4_tarski D C) B) (tptp.r2_hidden D A)))))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k3_relat_1 C))) (=> (tptp.v1_relat_1 C) (=> (and (tptp.v2_wellord1 C) (tptp.r2_hidden A _let_1) (tptp.r2_hidden B _let_1)) (= (tptp.r2_hidden (tptp.k4_tarski A B) C) (tptp.r1_tarski (tptp.k1_wellord1 C A) (tptp.k1_wellord1 C B))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k1_wellord1 C B))) (let ((_let_2 (tptp.k3_relat_1 C))) (=> (tptp.v1_relat_1 C) (=> (and (tptp.v2_wellord1 C) (tptp.r2_hidden A _let_2) (tptp.r2_hidden B _let_2)) (= (tptp.r1_tarski (tptp.k1_wellord1 C A) _let_1) (or (= A B) (tptp.r2_hidden A _let_1)))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.v1_relat_1 B) (=> (and (tptp.v2_wellord1 B) (tptp.r1_tarski A (tptp.k3_relat_1 B))) (= (tptp.k3_relat_1 (tptp.k2_wellord1 B A)) A)))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k1_wellord1 B A))) (=> (tptp.v1_relat_1 B) (=> (tptp.v2_wellord1 B) (= (tptp.k3_relat_1 (tptp.k2_wellord1 B _let_1)) _let_1))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (=> (tptp.v2_wellord1 A) (forall ((B $$unsorted)) (=> (forall ((C $$unsorted)) (=> (and (tptp.r2_hidden C (tptp.k3_relat_1 A)) (tptp.r1_tarski (tptp.k1_wellord1 A C) B)) (tptp.r2_hidden C B))) (tptp.r1_tarski (tptp.k3_relat_1 A) B)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k3_relat_1 C))) (=> (tptp.v1_relat_1 C) (=> (and (tptp.v2_wellord1 C) (tptp.r2_hidden A _let_1) (tptp.r2_hidden B _let_1) (forall ((D $$unsorted)) (=> (tptp.r2_hidden D (tptp.k1_wellord1 C A)) (and (tptp.r2_hidden (tptp.k4_tarski D B) C) (not (= D B)))))) (tptp.r2_hidden (tptp.k4_tarski A B) C))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k3_relat_1 A))) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (=> (and (tptp.v2_wellord1 A) (= (tptp.k1_relat_1 B) _let_1) (tptp.r1_tarski (tptp.k2_relat_1 B) _let_1) (forall ((C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k1_funct_1 B D))) (let ((_let_2 (tptp.k1_funct_1 B C))) (=> (tptp.r2_hidden (tptp.k4_tarski C D) A) (or (= C D) (and (tptp.r2_hidden (tptp.k4_tarski _let_2 _let_1) A) (not (= _let_2 _let_1))))))))) (forall ((C $$unsorted)) (=> (tptp.r2_hidden C (tptp.k3_relat_1 A)) (tptp.r2_hidden (tptp.k4_tarski C (tptp.k1_funct_1 B C)) A))))))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (forall ((B $$unsorted)) (=> (tptp.v1_relat_1 B) (forall ((C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (= (tptp.r3_wellord1 A B C) (and (= (tptp.k1_relat_1 C) (tptp.k3_relat_1 A)) (= (tptp.k2_relat_1 C) (tptp.k3_relat_1 B)) (tptp.v2_funct_1 C) (forall ((D $$unsorted) (E $$unsorted)) (let ((_let_1 (tptp.k3_relat_1 A))) (= (tptp.r2_hidden (tptp.k4_tarski D E) A) (and (tptp.r2_hidden D _let_1) (tptp.r2_hidden E _let_1) (tptp.r2_hidden (tptp.k4_tarski (tptp.k1_funct_1 C D) (tptp.k1_funct_1 C E)) B))))))))))))) true (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (forall ((B $$unsorted)) (=> (tptp.v1_relat_1 B) (forall ((C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (=> (tptp.r3_wellord1 A B C) (forall ((D $$unsorted) (E $$unsorted)) (let ((_let_1 (tptp.k1_funct_1 C E))) (let ((_let_2 (tptp.k1_funct_1 C D))) (=> (tptp.r2_hidden (tptp.k4_tarski D E) A) (or (= D E) (and (tptp.r2_hidden (tptp.k4_tarski _let_2 _let_1) B) (not (= _let_2 _let_1))))))))))))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (forall ((B $$unsorted)) (=> (tptp.v1_relat_1 B) (= (tptp.r4_wellord1 A B) (exists ((C $$unsorted)) (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C) (tptp.r3_wellord1 A B C)))))))) true (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (tptp.r3_wellord1 A A (tptp.k6_relat_1 (tptp.k3_relat_1 A))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (tptp.r4_wellord1 A A))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (forall ((B $$unsorted)) (=> (tptp.v1_relat_1 B) (forall ((C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (=> (tptp.r3_wellord1 A B C) (tptp.r3_wellord1 B A (tptp.k2_funct_1 C))))))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (forall ((B $$unsorted)) (=> (tptp.v1_relat_1 B) (=> (tptp.r4_wellord1 A B) (tptp.r4_wellord1 B A)))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (forall ((B $$unsorted)) (=> (tptp.v1_relat_1 B) (forall ((C $$unsorted)) (=> (tptp.v1_relat_1 C) (forall ((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)) (=> (and (tptp.r3_wellord1 A B D) (tptp.r3_wellord1 B C E)) (tptp.r3_wellord1 A C (tptp.k5_relat_1 D E))))))))))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (forall ((B $$unsorted)) (=> (tptp.v1_relat_1 B) (forall ((C $$unsorted)) (=> (tptp.v1_relat_1 C) (=> (and (tptp.r4_wellord1 A B) (tptp.r4_wellord1 B C)) (tptp.r4_wellord1 A C)))))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (forall ((B $$unsorted)) (=> (tptp.v1_relat_1 B) (forall ((C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (=> (tptp.r3_wellord1 A B C) (and (=> (tptp.v1_relat_2 A) (tptp.v1_relat_2 B)) (=> (tptp.v8_relat_2 A) (tptp.v8_relat_2 B)) (=> (tptp.v6_relat_2 A) (tptp.v6_relat_2 B)) (=> (tptp.v4_relat_2 A) (tptp.v4_relat_2 B)) (=> (tptp.v1_wellord1 A) (tptp.v1_wellord1 B)))))))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (forall ((B $$unsorted)) (=> (tptp.v1_relat_1 B) (forall ((C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (=> (and (tptp.v2_wellord1 A) (tptp.r3_wellord1 A B C)) (tptp.v2_wellord1 B)))))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (forall ((B $$unsorted)) (=> (tptp.v1_relat_1 B) (=> (tptp.v2_wellord1 A) (forall ((C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (forall ((D $$unsorted)) (=> (and (tptp.v1_relat_1 D) (tptp.v1_funct_1 D)) (=> (and (tptp.r3_wellord1 A B C) (tptp.r3_wellord1 A B D)) (= C D))))))))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (forall ((B $$unsorted)) (=> (tptp.v1_relat_1 B) (=> (and (tptp.v2_wellord1 A) (tptp.r4_wellord1 A B)) (forall ((C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (= (= C (tptp.k3_wellord1 A B)) (tptp.r3_wellord1 A B C))))))))) true (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (=> (tptp.v2_wellord1 A) (forall ((B $$unsorted)) (not (and (tptp.r2_hidden B (tptp.k3_relat_1 A)) (tptp.r4_wellord1 A (tptp.k2_wellord1 A (tptp.k1_wellord1 A B))))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k3_relat_1 C))) (=> (tptp.v1_relat_1 C) (not (and (tptp.v2_wellord1 C) (tptp.r2_hidden A _let_1) (tptp.r2_hidden B _let_1) (not (= A B)) (tptp.r4_wellord1 (tptp.k2_wellord1 C (tptp.k1_wellord1 C A)) (tptp.k2_wellord1 C (tptp.k1_wellord1 C B)))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.v1_relat_1 B) (forall ((C $$unsorted)) (=> (tptp.v1_relat_1 C) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k2_wellord1 C (tptp.k9_relat_1 D A)))) (let ((_let_2 (tptp.k2_wellord1 B A))) (=> (and (tptp.v1_relat_1 D) (tptp.v1_funct_1 D)) (=> (and (tptp.v2_wellord1 B) (tptp.r1_tarski A (tptp.k3_relat_1 B)) (tptp.r3_wellord1 B C D)) (and (tptp.r3_wellord1 _let_2 _let_1 (tptp.k7_relat_1 D A)) (tptp.r4_wellord1 _let_2 _let_1))))))))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (forall ((B $$unsorted)) (=> (tptp.v1_relat_1 B) (forall ((C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (=> (and (tptp.v2_wellord1 A) (tptp.r3_wellord1 A B C)) (forall ((D $$unsorted)) (not (and (tptp.r2_hidden D (tptp.k3_relat_1 A)) (forall ((E $$unsorted)) (not (and (tptp.r2_hidden E (tptp.k3_relat_1 B)) (= (tptp.k9_relat_1 C (tptp.k1_wellord1 A D)) (tptp.k1_wellord1 B E))))))))))))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (forall ((B $$unsorted)) (=> (tptp.v1_relat_1 B) (forall ((C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (=> (and (tptp.v2_wellord1 A) (tptp.r3_wellord1 A B C)) (forall ((D $$unsorted)) (not (and (tptp.r2_hidden D (tptp.k3_relat_1 A)) (forall ((E $$unsorted)) (not (and (tptp.r2_hidden E (tptp.k3_relat_1 B)) (tptp.r4_wellord1 (tptp.k2_wellord1 A (tptp.k1_wellord1 A D)) (tptp.k2_wellord1 B (tptp.k1_wellord1 B E)))))))))))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (tptp.v1_relat_1 D) (forall ((E $$unsorted)) (let ((_let_1 (tptp.k1_wellord1 E B))) (let ((_let_2 (tptp.k1_wellord1 E C))) (let ((_let_3 (tptp.k3_relat_1 E))) (=> (tptp.v1_relat_1 E) (=> (and (tptp.v2_wellord1 D) (tptp.v2_wellord1 E) (tptp.r2_hidden A (tptp.k3_relat_1 D)) (tptp.r2_hidden B _let_3) (tptp.r2_hidden C _let_3) (tptp.r4_wellord1 D (tptp.k2_wellord1 E _let_1)) (tptp.r4_wellord1 (tptp.k2_wellord1 D (tptp.k1_wellord1 D A)) (tptp.k2_wellord1 E _let_2))) (and (tptp.r1_tarski _let_2 _let_1) (tptp.r2_hidden (tptp.k4_tarski C B) E)))))))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (forall ((B $$unsorted)) (=> (tptp.v1_relat_1 B) (not (and (tptp.v2_wellord1 A) (tptp.v2_wellord1 B) (not (tptp.r4_wellord1 A B)) (forall ((C $$unsorted)) (not (and (tptp.r2_hidden C (tptp.k3_relat_1 A)) (tptp.r4_wellord1 (tptp.k2_wellord1 A (tptp.k1_wellord1 A C)) B)))) (forall ((C $$unsorted)) (not (and (tptp.r2_hidden C (tptp.k3_relat_1 B)) (tptp.r4_wellord1 A (tptp.k2_wellord1 B (tptp.k1_wellord1 B C)))))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.v1_relat_1 B) (not (and (tptp.r1_tarski A (tptp.k3_relat_1 B)) (tptp.v2_wellord1 B) (not (tptp.r4_wellord1 B (tptp.k2_wellord1 B A))) (forall ((C $$unsorted)) (not (and (tptp.r2_hidden C (tptp.k3_relat_1 B)) (tptp.r4_wellord1 (tptp.k2_wellord1 B (tptp.k1_wellord1 B C)) (tptp.k2_wellord1 B A))))))))) true (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.v1_relat_1 A) (tptp.v1_relat_1 (tptp.k2_wellord1 A B)))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k3_wellord1 A B))) (=> (and (tptp.v1_relat_1 A) (tptp.v1_relat_1 B)) (and (tptp.v1_relat_1 _let_1) (tptp.v1_funct_1 _let_1))))) (forall ((A $$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))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.m1_relset_1 C A B) (tptp.r1_tarski C (tptp.k2_zfmisc_1 A B)))) true true true (forall ((A $$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))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.m2_relset_1 C A B) (tptp.m1_relset_1 C A B))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.m1_relset_1 C A B) (tptp.m1_relset_1 D A B)) (tptp.m2_relset_1 (tptp.k1_relset_1 A B C D) A B))) (forall ((A $$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_136 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)))) (forall ((A $$unsorted)) (= (tptp.k6_partfun1 A) (tptp.k6_relat_1 A))) (forall ((A $$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 $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k2_zfmisc_1 A B)) (and (not (= C (tptp.k1_mcart_1 C))) (not (= C (tptp.k2_mcart_1 C)))))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.k3_mcart_1 A B C) (tptp.k4_tarski (tptp.k4_tarski A B) C))) 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 $$unsorted)) (not (and (or (tptp.r2_hidden C A) (tptp.r2_hidden D A)) (= B (tptp.k3_mcart_1 C D E))))))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (= (tptp.k4_mcart_1 A B C D) (tptp.k4_tarski (tptp.k3_mcart_1 A B C) D))) true (forall ((A $$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))))))))))) (forall ((A $$unsorted)) (= (tptp.k17_mcart_1 A) (tptp.k1_mcart_1 (tptp.k1_mcart_1 A)))) (forall ((A $$unsorted)) (= (tptp.k18_mcart_1 A) (tptp.k2_mcart_1 (tptp.k1_mcart_1 A)))) (forall ((A $$unsorted)) (= (tptp.k19_mcart_1 A) (tptp.k1_mcart_1 (tptp.k2_mcart_1 A)))) (forall ((A $$unsorted)) (= (tptp.k20_mcart_1 A) (tptp.k2_mcart_1 (tptp.k2_mcart_1 A)))) (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)) (=> (tptp.v1_relat_1 B) (= (= B (tptp.k1_wellord2 A)) (and (= (tptp.k3_relat_1 B) A) (forall ((C $$unsorted) (D $$unsorted)) (=> (and (tptp.r2_hidden C A) (tptp.r2_hidden D A)) (= (tptp.r2_hidden (tptp.k4_tarski C D) B) (tptp.r1_tarski C D)))))))) true (forall ((A $$unsorted)) (tptp.v1_relat_2 (tptp.k1_wellord2 A))) (forall ((A $$unsorted)) (tptp.v8_relat_2 (tptp.k1_wellord2 A))) (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (tptp.v6_relat_2 (tptp.k1_wellord2 A)))) (forall ((A $$unsorted)) (tptp.v4_relat_2 (tptp.k1_wellord2 A))) (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (tptp.v1_wellord1 (tptp.k1_wellord2 A)))) (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (tptp.v2_wellord1 (tptp.k1_wellord2 A)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.r1_tarski A B) (= (tptp.k2_wellord1 (tptp.k1_wellord2 B) A) (tptp.k1_wellord2 A)))) (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (forall ((B $$unsorted)) (=> (tptp.r1_tarski B A) (tptp.v2_wellord1 (tptp.k1_wellord2 B)))))) (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (forall ((B $$unsorted)) (=> (tptp.v3_ordinal1 B) (=> (tptp.r2_hidden A B) (= A (tptp.k1_wellord1 (tptp.k1_wellord2 B) A))))))) (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (forall ((B $$unsorted)) (=> (tptp.v3_ordinal1 B) (=> (tptp.r4_wellord1 (tptp.k1_wellord2 A) (tptp.k1_wellord2 B)) (= A B)))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (forall ((B $$unsorted)) (=> (tptp.v3_ordinal1 B) (forall ((C $$unsorted)) (=> (tptp.v3_ordinal1 C) (=> (and (tptp.r4_wellord1 A (tptp.k1_wellord2 B)) (tptp.r4_wellord1 A (tptp.k1_wellord2 C))) (= B C)))))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (not (and (tptp.v2_wellord1 A) (forall ((B $$unsorted)) (not (and (tptp.r2_hidden B (tptp.k3_relat_1 A)) (forall ((C $$unsorted)) (=> (tptp.v3_ordinal1 C) (not (tptp.r4_wellord1 (tptp.k2_wellord1 A (tptp.k1_wellord1 A B)) (tptp.k1_wellord2 C)))))))) (forall ((B $$unsorted)) (=> (tptp.v3_ordinal1 B) (not (tptp.r4_wellord1 A (tptp.k1_wellord2 B))))))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (not (and (tptp.v2_wellord1 A) (forall ((B $$unsorted)) (=> (tptp.v3_ordinal1 B) (not (tptp.r4_wellord1 A (tptp.k1_wellord2 B))))))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (=> (tptp.v2_wellord1 A) (forall ((B $$unsorted)) (=> (tptp.v3_ordinal1 B) (= (= B (tptp.k2_wellord2 A)) (tptp.r4_wellord1 A (tptp.k1_wellord2 B)))))))) (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (forall ((B $$unsorted)) (=> (tptp.v1_relat_1 B) (= (tptp.r1_wellord2 A B) (= A (tptp.k2_wellord2 B))))))) true true (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.v3_ordinal1 B) (=> (tptp.r1_tarski A B) (tptp.r1_ordinal1 (tptp.k2_wellord2 (tptp.k1_wellord2 A)) B)))) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.r2_wellord2 A B) (exists ((C $$unsorted)) (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C) (tptp.v2_funct_1 C) (= (tptp.k1_relat_1 C) A) (= (tptp.k2_relat_1 C) B))))) true true true true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.r2_wellord2 A B) (tptp.r2_wellord2 B C)) (tptp.r2_wellord2 A C))) true true (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k2_wellord1 B A))) (=> (tptp.v1_relat_1 B) (=> (tptp.r2_wellord1 B A) (and (= (tptp.k3_relat_1 _let_1) A) (tptp.v2_wellord1 _let_1)))))) (forall ((A $$unsorted)) (exists ((B $$unsorted)) (and (tptp.v1_relat_1 B) (tptp.r2_wellord1 B A)))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (not (and (forall ((B $$unsorted)) (not (and (tptp.r2_hidden B A) (= B tptp.k1_xboole_0)))) (forall ((B $$unsorted) (C $$unsorted)) (=> (and (tptp.r2_hidden B A) (tptp.r2_hidden C A)) (or (= B C) (tptp.r1_xboole_0 B C)))) (forall ((B $$unsorted)) (exists ((C $$unsorted)) (and (tptp.r2_hidden C A) (forall ((D $$unsorted)) (not (= (tptp.k3_xboole_0 B C) (tptp.k1_tarski D))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (not (and (forall ((B $$unsorted)) (not (and (tptp.r2_hidden B A) (= B tptp.k1_xboole_0)))) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (not (and (= (tptp.k1_relat_1 B) A) (forall ((C $$unsorted)) (=> (tptp.r2_hidden C A) (tptp.r2_hidden (tptp.k1_funct_1 B C) C))))))))))) (=> (forall ((A $$unsorted)) (not (and (tptp.r2_hidden A tptp.f1_s1_wellord2) (forall ((B $$unsorted)) (not (and (tptp.r2_hidden B tptp.f2_s1_wellord2) (tptp.p1_s1_wellord2 A B))))))) (exists ((A $$unsorted)) (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (= (tptp.k1_relat_1 A) tptp.f1_s1_wellord2) (tptp.r1_tarski (tptp.k2_relat_1 A) tptp.f2_s1_wellord2) (forall ((B $$unsorted)) (=> (tptp.r2_hidden B tptp.f1_s1_wellord2) (tptp.p1_s1_wellord2 B (tptp.k1_funct_1 A B))))))) (=> (forall ((A $$unsorted)) (not (and (tptp.r2_hidden A tptp.f1_s2_wellord2) (forall ((B $$unsorted) (C $$unsorted)) (not (and (tptp.r2_hidden B tptp.f2_s2_wellord2) (tptp.r2_hidden C tptp.f3_s2_wellord2) (tptp.p1_s2_wellord2 A B C))))))) (exists ((A $$unsorted)) (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (exists ((B $$unsorted)) (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (= (tptp.k1_relat_1 A) tptp.f1_s2_wellord2) (= (tptp.k1_relat_1 B) tptp.f1_s2_wellord2) (forall ((C $$unsorted)) (=> (tptp.r2_hidden C tptp.f1_s2_wellord2) (tptp.p1_s2_wellord2 C (tptp.k1_funct_1 A C) (tptp.k1_funct_1 B C))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.r2_wellord2 A B) (tptp.r2_wellord2 B A))) (forall ((A $$unsorted) (B $$unsorted)) (tptp.r2_wellord2 A A)) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.r2_wellord2 A B) (tptp.r2_tarski A B))) (forall ((A $$unsorted)) (tptp.v1_relat_1 (tptp.k1_wellord2 A))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (tptp.v3_ordinal1 (tptp.k2_wellord2 A)))) (forall ((A $$unsorted) (B $$unsorted)) (exists ((C $$unsorted)) (and (tptp.m1_relset_1 C A B) (tptp.v1_relat_1 C) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C A B)))) (forall ((A $$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)))) (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))) (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))))) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.k5_funct_3 A B) (tptp.k4_funct_3 A B))) (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))))) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.k9_funct_3 A B) (tptp.k7_funct_3 A B))) (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))))) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.k10_funct_3 A B) (tptp.k8_funct_3 A B))) (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))))) (forall ((A $$unsorted)) (= (tptp.k12_funct_3 A) (tptp.k11_funct_3 A))) (forall ((A $$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 $$unsorted)) (=> (and (tptp.v1_funct_1 E) (tptp.v1_funct_2 E A C) (tptp.m1_relset_1 E A C) (tptp.v1_funct_1 F) (tptp.v1_funct_2 F B D) (tptp.m1_relset_1 F B D)) (= (tptp.k16_funct_3 A B C D E F) (tptp.k15_funct_3 E F)))) true true true true true true true true (forall ((A $$unsorted) (B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (=> (not (tptp.v1_xboole_0 C)) (not (and (tptp.r2_hidden A (tptp.k2_zfmisc_1 B C)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D B) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E C) (not (= A (tptp.k4_tarski D E))))))))))))) true true (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k2_zfmisc_1 A B)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k2_zfmisc_1 A B)) (=> (and (= (tptp.k1_mcart_1 C) (tptp.k1_mcart_1 D)) (= (tptp.k2_mcart_1 C) (tptp.k2_mcart_1 D))) (= C D)))))))))) true true (forall ((A $$unsorted) (B $$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)) (= (tptp.r2_hidden A (tptp.k3_zfmisc_1 B C D)) (exists ((E $$unsorted)) (and (tptp.m1_subset_1 E B) (exists ((F $$unsorted)) (and (tptp.m1_subset_1 F C) (exists ((G $$unsorted)) (and (tptp.m1_subset_1 G D) (= A (tptp.k3_mcart_1 E F G))))))))))))))) (forall ((A $$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 $$unsorted)) (=> (not (tptp.v1_xboole_0 D)) (=> (forall ((E $$unsorted)) (= (tptp.r2_hidden E A) (exists ((F $$unsorted)) (and (tptp.m1_subset_1 F B) (exists ((G $$unsorted)) (and (tptp.m1_subset_1 G C) (exists ((H $$unsorted)) (and (tptp.m1_subset_1 H D) (= E (tptp.k3_mcart_1 F G H)))))))))) (= A (tptp.k3_zfmisc_1 B C D))))))))))) (forall ((A $$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 $$unsorted)) (=> (not (tptp.v1_xboole_0 D)) (= (= A (tptp.k3_zfmisc_1 B C D)) (forall ((E $$unsorted)) (= (tptp.r2_hidden E A) (exists ((F $$unsorted)) (and (tptp.m1_subset_1 F B) (exists ((G $$unsorted)) (and (tptp.m1_subset_1 G C) (exists ((H $$unsorted)) (and (tptp.m1_subset_1 H D) (= E (tptp.k3_mcart_1 F G H))))))))))))))))))) true true true true true true (forall ((A $$unsorted) (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)) (=> (tptp.m1_subset_1 E (tptp.k3_zfmisc_1 B C D)) (= (= A (tptp.k5_mcart_1 B C D E)) (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F B) (forall ((G $$unsorted)) (=> (tptp.m1_subset_1 G C) (forall ((H $$unsorted)) (=> (tptp.m1_subset_1 H D) (=> (= E (tptp.k4_domain_1 B C D F G H)) (= A F))))))))))))))))) (forall ((A $$unsorted) (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)) (=> (tptp.m1_subset_1 E (tptp.k3_zfmisc_1 B C D)) (= (= A (tptp.k6_mcart_1 B C D E)) (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F B) (forall ((G $$unsorted)) (=> (tptp.m1_subset_1 G C) (forall ((H $$unsorted)) (=> (tptp.m1_subset_1 H D) (=> (= E (tptp.k4_domain_1 B C D F G H)) (= A G))))))))))))))))) (forall ((A $$unsorted) (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)) (=> (tptp.m1_subset_1 E (tptp.k3_zfmisc_1 B C D)) (= (= A (tptp.k7_mcart_1 B C D E)) (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F B) (forall ((G $$unsorted)) (=> (tptp.m1_subset_1 G C) (forall ((H $$unsorted)) (=> (tptp.m1_subset_1 H D) (=> (= E (tptp.k4_domain_1 B C D F G H)) (= A H))))))))))))))))) true (forall ((A $$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 $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k3_zfmisc_1 A B C)) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.k3_zfmisc_1 A B C)) (=> (and (= (tptp.k5_mcart_1 A B C D) (tptp.k5_mcart_1 A B C E)) (= (tptp.k6_mcart_1 A B C D) (tptp.k6_mcart_1 A B C E)) (= (tptp.k7_mcart_1 A B C D) (tptp.k7_mcart_1 A B C E))) (= D E)))))))))))) true true (forall ((A $$unsorted) (B $$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 $$unsorted)) (=> (not (tptp.v1_xboole_0 E)) (= (tptp.r2_hidden A (tptp.k4_zfmisc_1 B C D E)) (exists ((F $$unsorted)) (and (tptp.m1_subset_1 F B) (exists ((G $$unsorted)) (and (tptp.m1_subset_1 G C) (exists ((H $$unsorted)) (and (tptp.m1_subset_1 H D) (exists ((I $$unsorted)) (and (tptp.m1_subset_1 I E) (= A (tptp.k4_mcart_1 F G H I))))))))))))))))))) (forall ((A $$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)) (=> (not (tptp.v1_xboole_0 E)) (=> (forall ((F $$unsorted)) (= (tptp.r2_hidden F A) (exists ((G $$unsorted)) (and (tptp.m1_subset_1 G B) (exists ((H $$unsorted)) (and (tptp.m1_subset_1 H C) (exists ((I $$unsorted)) (and (tptp.m1_subset_1 I D) (exists ((J $$unsorted)) (and (tptp.m1_subset_1 J E) (= F (tptp.k4_mcart_1 G H I J)))))))))))) (= A (tptp.k4_zfmisc_1 B C D E))))))))))))) (forall ((A $$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 $$unsorted)) (=> (not (tptp.v1_xboole_0 D)) (forall ((E $$unsorted)) (=> (not (tptp.v1_xboole_0 E)) (= (= A (tptp.k4_zfmisc_1 B C D E)) (forall ((F $$unsorted)) (= (tptp.r2_hidden F A) (exists ((G $$unsorted)) (and (tptp.m1_subset_1 G B) (exists ((H $$unsorted)) (and (tptp.m1_subset_1 H C) (exists ((I $$unsorted)) (and (tptp.m1_subset_1 I D) (exists ((J $$unsorted)) (and (tptp.m1_subset_1 J E) (= F (tptp.k4_mcart_1 G H I J))))))))))))))))))))))) true true true true true true (forall ((A $$unsorted) (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)) (=> (not (tptp.v1_xboole_0 E)) (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F (tptp.k4_zfmisc_1 B C D E)) (= (= A (tptp.k8_mcart_1 B C D E F)) (forall ((G $$unsorted)) (=> (tptp.m1_subset_1 G B) (forall ((H $$unsorted)) (=> (tptp.m1_subset_1 H C) (forall ((I $$unsorted)) (=> (tptp.m1_subset_1 I D) (forall ((J $$unsorted)) (=> (tptp.m1_subset_1 J E) (=> (= F (tptp.k5_domain_1 B C D E G H I J)) (= A G))))))))))))))))))))) (forall ((A $$unsorted) (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)) (=> (not (tptp.v1_xboole_0 E)) (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F (tptp.k4_zfmisc_1 B C D E)) (= (= A (tptp.k9_mcart_1 B C D E F)) (forall ((G $$unsorted)) (=> (tptp.m1_subset_1 G B) (forall ((H $$unsorted)) (=> (tptp.m1_subset_1 H C) (forall ((I $$unsorted)) (=> (tptp.m1_subset_1 I D) (forall ((J $$unsorted)) (=> (tptp.m1_subset_1 J E) (=> (= F (tptp.k5_domain_1 B C D E G H I J)) (= A H))))))))))))))))))))) (forall ((A $$unsorted) (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)) (=> (not (tptp.v1_xboole_0 E)) (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F (tptp.k4_zfmisc_1 B C D E)) (= (= A (tptp.k10_mcart_1 B C D E F)) (forall ((G $$unsorted)) (=> (tptp.m1_subset_1 G B) (forall ((H $$unsorted)) (=> (tptp.m1_subset_1 H C) (forall ((I $$unsorted)) (=> (tptp.m1_subset_1 I D) (forall ((J $$unsorted)) (=> (tptp.m1_subset_1 J E) (=> (= F (tptp.k5_domain_1 B C D E G H I J)) (= A I))))))))))))))))))))) (forall ((A $$unsorted) (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)) (=> (not (tptp.v1_xboole_0 E)) (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F (tptp.k4_zfmisc_1 B C D E)) (= (= A (tptp.k11_mcart_1 B C D E F)) (forall ((G $$unsorted)) (=> (tptp.m1_subset_1 G B) (forall ((H $$unsorted)) (=> (tptp.m1_subset_1 H C) (forall ((I $$unsorted)) (=> (tptp.m1_subset_1 I D) (forall ((J $$unsorted)) (=> (tptp.m1_subset_1 J E) (=> (= F (tptp.k5_domain_1 B C D E G H I J)) (= A J))))))))))))))))))))) true (forall ((A $$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 $$unsorted)) (=> (not (tptp.v1_xboole_0 D)) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.k4_zfmisc_1 A B C D)) (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F (tptp.k4_zfmisc_1 A B C D)) (=> (and (= (tptp.k8_mcart_1 A B C D E) (tptp.k8_mcart_1 A B C D F)) (= (tptp.k9_mcart_1 A B C D E) (tptp.k9_mcart_1 A B C D F)) (= (tptp.k10_mcart_1 A B C D E) (tptp.k10_mcart_1 A B C D F)) (= (tptp.k11_mcart_1 A B C D E) (tptp.k11_mcart_1 A B C D F))) (= E F)))))))))))))) true true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (not (tptp.v1_xboole_0 B)) (tptp.m1_subset_1 C A) (tptp.m1_subset_1 D B)) (tptp.m1_subset_1 (tptp.k1_domain_1 A B C D) (tptp.k2_zfmisc_1 A B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (not (tptp.v1_xboole_0 B)) (tptp.m1_subset_1 C A) (tptp.m1_subset_1 D B)) (= (tptp.k1_domain_1 A B C D) (tptp.k4_tarski C D)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (not (tptp.v1_xboole_0 B)) (tptp.m1_subset_1 C (tptp.k2_zfmisc_1 A B))) (tptp.m1_subset_1 (tptp.k2_domain_1 A B C) A))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (not (tptp.v1_xboole_0 B)) (tptp.m1_subset_1 C (tptp.k2_zfmisc_1 A B))) (= (tptp.k2_domain_1 A B C) (tptp.k1_mcart_1 C)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (not (tptp.v1_xboole_0 B)) (tptp.m1_subset_1 C (tptp.k2_zfmisc_1 A B))) (tptp.m1_subset_1 (tptp.k3_domain_1 A B C) B))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (not (tptp.v1_xboole_0 B)) (tptp.m1_subset_1 C (tptp.k2_zfmisc_1 A B))) (= (tptp.k3_domain_1 A B C) (tptp.k2_mcart_1 C)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (not (tptp.v1_xboole_0 B)) (not (tptp.v1_xboole_0 C)) (tptp.m1_subset_1 D A) (tptp.m1_subset_1 E B) (tptp.m1_subset_1 F C)) (tptp.m1_subset_1 (tptp.k4_domain_1 A B C D E F) (tptp.k3_zfmisc_1 A B C)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (not (tptp.v1_xboole_0 B)) (not (tptp.v1_xboole_0 C)) (tptp.m1_subset_1 D A) (tptp.m1_subset_1 E B) (tptp.m1_subset_1 F C)) (= (tptp.k4_domain_1 A B C D E F) (tptp.k3_mcart_1 D E F)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted) (G $$unsorted) (H $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (not (tptp.v1_xboole_0 B)) (not (tptp.v1_xboole_0 C)) (not (tptp.v1_xboole_0 D)) (tptp.m1_subset_1 E A) (tptp.m1_subset_1 F B) (tptp.m1_subset_1 G C) (tptp.m1_subset_1 H D)) (tptp.m1_subset_1 (tptp.k5_domain_1 A B C D E F G H) (tptp.k4_zfmisc_1 A B C D)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted) (G $$unsorted) (H $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (not (tptp.v1_xboole_0 B)) (not (tptp.v1_xboole_0 C)) (not (tptp.v1_xboole_0 D)) (tptp.m1_subset_1 E A) (tptp.m1_subset_1 F B) (tptp.m1_subset_1 G C) (tptp.m1_subset_1 H D)) (= (tptp.k5_domain_1 A B C D E F G H) (tptp.k4_mcart_1 E F G H)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.m1_subset_1 B A)) (tptp.m1_subset_1 (tptp.k6_domain_1 A B) (tptp.k1_zfmisc_1 A)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.m1_subset_1 B A)) (= (tptp.k6_domain_1 A B) (tptp.k1_tarski B)))) (forall ((A $$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.k7_domain_1 A B C) (tptp.k1_zfmisc_1 A)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.m1_subset_1 B A) (tptp.m1_subset_1 C A)) (= (tptp.k7_domain_1 A B C) (tptp.k7_domain_1 A C B)))) (forall ((A $$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.k7_domain_1 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.k8_domain_1 A B C D) (tptp.k1_zfmisc_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.k8_domain_1 A B C D) (tptp.k1_enumset1 B C D)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.m1_subset_1 B A) (tptp.m1_subset_1 C A) (tptp.m1_subset_1 D A) (tptp.m1_subset_1 E A)) (tptp.m1_subset_1 (tptp.k9_domain_1 A B C D E) (tptp.k1_zfmisc_1 A)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$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 E A)) (= (tptp.k9_domain_1 A B C D E) (tptp.k2_enumset1 B C D E)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$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 E A) (tptp.m1_subset_1 F A)) (tptp.m1_subset_1 (tptp.k10_domain_1 A B C D E F) (tptp.k1_zfmisc_1 A)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$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 E A) (tptp.m1_subset_1 F A)) (= (tptp.k10_domain_1 A B C D E F) (tptp.k3_enumset1 B C D E F)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted) (G $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.m1_subset_1 B A) (tptp.m1_subset_1 C A) (tptp.m1_subset_1 D A) (tptp.m1_subset_1 E A) (tptp.m1_subset_1 F A) (tptp.m1_subset_1 G A)) (tptp.m1_subset_1 (tptp.k11_domain_1 A B C D E F G) (tptp.k1_zfmisc_1 A)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted) (G $$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 E A) (tptp.m1_subset_1 F A) (tptp.m1_subset_1 G A)) (= (tptp.k11_domain_1 A B C D E F G) (tptp.k4_enumset1 B C D E F G)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted) (G $$unsorted) (H $$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 E A) (tptp.m1_subset_1 F A) (tptp.m1_subset_1 G A) (tptp.m1_subset_1 H A)) (tptp.m1_subset_1 (tptp.k12_domain_1 A B C D E F G H) (tptp.k1_zfmisc_1 A)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted) (G $$unsorted) (H $$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 E A) (tptp.m1_subset_1 F A) (tptp.m1_subset_1 G A) (tptp.m1_subset_1 H A)) (= (tptp.k12_domain_1 A B C D E F G H) (tptp.k5_enumset1 B C D E F G H)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted) (G $$unsorted) (H $$unsorted) (I $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.m1_subset_1 B A) (tptp.m1_subset_1 C A) (tptp.m1_subset_1 D A) (tptp.m1_subset_1 E A) (tptp.m1_subset_1 F A) (tptp.m1_subset_1 G A) (tptp.m1_subset_1 H A) (tptp.m1_subset_1 I A)) (tptp.m1_subset_1 (tptp.k13_domain_1 A B C D E F G H I) (tptp.k1_zfmisc_1 A)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted) (G $$unsorted) (H $$unsorted) (I $$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 E A) (tptp.m1_subset_1 F A) (tptp.m1_subset_1 G A) (tptp.m1_subset_1 H A) (tptp.m1_subset_1 I A)) (= (tptp.k13_domain_1 A B C D E F G H I) (tptp.k6_enumset1 B C D E F G H I)))) (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)) (tptp.m1_subset_1 D (tptp.k2_zfmisc_1 (tptp.k2_zfmisc_1 A B) C))) (tptp.m1_subset_1 (tptp.k14_domain_1 A B C D) A))) (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)) (tptp.m1_subset_1 D (tptp.k2_zfmisc_1 (tptp.k2_zfmisc_1 A B) C))) (= (tptp.k14_domain_1 A B C D) (tptp.k17_mcart_1 D)))) (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)) (tptp.m1_subset_1 D (tptp.k2_zfmisc_1 (tptp.k2_zfmisc_1 A B) C))) (tptp.m1_subset_1 (tptp.k15_domain_1 A B C D) B))) (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)) (tptp.m1_subset_1 D (tptp.k2_zfmisc_1 (tptp.k2_zfmisc_1 A B) C))) (= (tptp.k15_domain_1 A B C D) (tptp.k18_mcart_1 D)))) (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)) (tptp.m1_subset_1 D (tptp.k2_zfmisc_1 A (tptp.k2_zfmisc_1 B C)))) (tptp.m1_subset_1 (tptp.k16_domain_1 A B C D) B))) (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)) (tptp.m1_subset_1 D (tptp.k2_zfmisc_1 A (tptp.k2_zfmisc_1 B C)))) (= (tptp.k16_domain_1 A B C D) (tptp.k19_mcart_1 D)))) (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)) (tptp.m1_subset_1 D (tptp.k2_zfmisc_1 A (tptp.k2_zfmisc_1 B C)))) (tptp.m1_subset_1 (tptp.k17_domain_1 A B C D) 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)) (tptp.m1_subset_1 D (tptp.k2_zfmisc_1 A (tptp.k2_zfmisc_1 B C)))) (= (tptp.k17_domain_1 A B C D) (tptp.k20_mcart_1 D)))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (= A (tptp.a_1_0_domain_1 A)))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (= (tptp.k2_zfmisc_1 A B) (tptp.a_2_0_domain_1 A B)))))) (forall ((A $$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)) (= (tptp.k3_zfmisc_1 A B C) (tptp.a_3_0_domain_1 A B C)))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (=> (not (tptp.v1_xboole_0 C)) (forall ((D $$unsorted)) (=> (not (tptp.v1_xboole_0 D)) (= (tptp.k4_zfmisc_1 A B C D) (tptp.a_4_0_domain_1 A B C D)))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (= B (tptp.a_2_1_domain_1 A B)))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 B)) (= (tptp.k12_mcart_1 A B C D) (tptp.a_4_1_domain_1 A B C 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)) (=> (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)) (= (tptp.k13_mcart_1 A B C D E F) (tptp.a_6_0_domain_1 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 $$unsorted)) (=> (not (tptp.v1_xboole_0 C)) (forall ((D $$unsorted)) (=> (not (tptp.v1_xboole_0 D)) (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 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)) (= (tptp.k14_mcart_1 A B C D E F G H) (tptp.a_8_0_domain_1 A B C D E F G H)))))))))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (= (tptp.k1_subset_1 A) (tptp.a_1_1_domain_1 A)))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (= (tptp.k3_subset_1 A B) (tptp.a_2_2_domain_1 A B)))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((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.k5_subset_1 A B C) (tptp.a_3_1_domain_1 A B C)))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 A)) (= (tptp.k4_subset_1 A B C) (tptp.a_3_2_domain_1 A B C)))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((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.a_3_3_domain_1 A B C)))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 A)) (= (tptp.k7_subset_1 A B C) (tptp.a_3_4_domain_1 A B C)))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((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.k7_subset_1 A B C) (tptp.a_3_5_domain_1 A B C)))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 A)) (= (tptp.k7_subset_1 A B C) (tptp.a_3_6_domain_1 A B C)))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((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.k7_subset_1 A B C) (tptp.a_3_7_domain_1 A B C)))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (tptp.m1_subset_1 (tptp.a_1_2_domain_1 A) (tptp.k1_zfmisc_1 A)))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (tptp.m1_subset_1 (tptp.a_2_3_domain_1 A B) (tptp.k1_zfmisc_1 (tptp.k2_zfmisc_1 A B))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (=> (not (tptp.v1_xboole_0 C)) (tptp.m1_subset_1 (tptp.a_3_8_domain_1 A B C) (tptp.k1_zfmisc_1 (tptp.k3_zfmisc_1 A B C))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (=> (not (tptp.v1_xboole_0 C)) (forall ((D $$unsorted)) (=> (not (tptp.v1_xboole_0 D)) (tptp.m1_subset_1 (tptp.a_4_2_domain_1 A B C D) (tptp.k1_zfmisc_1 (tptp.k4_zfmisc_1 A B C D))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (=> (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B A) (=> (tptp.p1_s5_domain_1 B) (tptp.p2_s5_domain_1 B)))) (tptp.r1_tarski (tptp.a_1_3_domain_1 A) (tptp.a_1_4_domain_1 A))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (=> (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B A) (= (tptp.p1_s6_domain_1 B) (tptp.p2_s6_domain_1 B)))) (= (tptp.a_1_5_domain_1 A) (tptp.a_1_6_domain_1 A))))) (tptp.m1_subset_1 tptp.a_0_0_domain_1 (tptp.k1_zfmisc_1 tptp.f1_s7_domain_1)) (tptp.m1_subset_1 tptp.a_0_1_domain_1 (tptp.k1_zfmisc_1 tptp.f2_s8_domain_1)) (tptp.m1_subset_1 tptp.a_0_2_domain_1 (tptp.k1_zfmisc_1 tptp.f3_s9_domain_1)) (= tptp.a_0_3_domain_1 (tptp.k3_xboole_0 tptp.a_0_4_domain_1 tptp.a_0_5_domain_1)) (forall ((A $$unsorted) (B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (= (tptp.r2_hidden A (tptp.a_1_0_domain_1 B)) (exists ((C $$unsorted)) (and (tptp.m1_subset_1 C B) (= A C)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (not (tptp.v1_xboole_0 C))) (= (tptp.r2_hidden A (tptp.a_2_0_domain_1 B C)) (exists ((D $$unsorted) (E $$unsorted)) (and (tptp.m1_subset_1 D B) (tptp.m1_subset_1 E C) (= A (tptp.k1_domain_1 B C D E))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (not (tptp.v1_xboole_0 C)) (not (tptp.v1_xboole_0 D))) (= (tptp.r2_hidden A (tptp.a_3_0_domain_1 B C D)) (exists ((E $$unsorted) (F $$unsorted) (G $$unsorted)) (and (tptp.m1_subset_1 E B) (tptp.m1_subset_1 F C) (tptp.m1_subset_1 G D) (= A (tptp.k4_domain_1 B C D E F G))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (not (tptp.v1_xboole_0 C)) (not (tptp.v1_xboole_0 D)) (not (tptp.v1_xboole_0 E))) (= (tptp.r2_hidden A (tptp.a_4_0_domain_1 B C D E)) (exists ((F $$unsorted) (G $$unsorted) (H $$unsorted) (I $$unsorted)) (and (tptp.m1_subset_1 F B) (tptp.m1_subset_1 G C) (tptp.m1_subset_1 H D) (tptp.m1_subset_1 I E) (= A (tptp.k5_domain_1 B C D E F G H I))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 B))) (= (tptp.r2_hidden A (tptp.a_2_1_domain_1 B C)) (exists ((D $$unsorted)) (and (tptp.m1_subset_1 D B) (= A D) (tptp.r2_hidden D C)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (not (tptp.v1_xboole_0 C)) (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 B)) (tptp.m1_subset_1 E (tptp.k1_zfmisc_1 C))) (= (tptp.r2_hidden A (tptp.a_4_1_domain_1 B C D E)) (exists ((F $$unsorted) (G $$unsorted)) (and (tptp.m1_subset_1 F B) (tptp.m1_subset_1 G C) (= A (tptp.k1_domain_1 B C F G)) (tptp.r2_hidden F D) (tptp.r2_hidden G E)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted) (G $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (not (tptp.v1_xboole_0 C)) (not (tptp.v1_xboole_0 D)) (tptp.m1_subset_1 E (tptp.k1_zfmisc_1 B)) (tptp.m1_subset_1 F (tptp.k1_zfmisc_1 C)) (tptp.m1_subset_1 G (tptp.k1_zfmisc_1 D))) (= (tptp.r2_hidden A (tptp.a_6_0_domain_1 B C D E F G)) (exists ((H $$unsorted) (I $$unsorted) (J $$unsorted)) (and (tptp.m1_subset_1 H B) (tptp.m1_subset_1 I C) (tptp.m1_subset_1 J D) (= A (tptp.k4_domain_1 B C D H I J)) (tptp.r2_hidden H E) (tptp.r2_hidden I F) (tptp.r2_hidden J G)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted) (G $$unsorted) (H $$unsorted) (I $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (not (tptp.v1_xboole_0 C)) (not (tptp.v1_xboole_0 D)) (not (tptp.v1_xboole_0 E)) (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 I (tptp.k1_zfmisc_1 E))) (= (tptp.r2_hidden A (tptp.a_8_0_domain_1 B C D E F G H I)) (exists ((J $$unsorted) (K $$unsorted) (L $$unsorted) (M $$unsorted)) (and (tptp.m1_subset_1 J B) (tptp.m1_subset_1 K C) (tptp.m1_subset_1 L D) (tptp.m1_subset_1 M E) (= A (tptp.k5_domain_1 B C D E J K L M)) (tptp.r2_hidden J F) (tptp.r2_hidden K G) (tptp.r2_hidden L H) (tptp.r2_hidden M I)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (= (tptp.r2_hidden A (tptp.a_1_1_domain_1 B)) (exists ((C $$unsorted)) (and (tptp.m1_subset_1 C B) (= A C) (not true)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 B))) (= (tptp.r2_hidden A (tptp.a_2_2_domain_1 B C)) (exists ((D $$unsorted)) (and (tptp.m1_subset_1 D B) (= A D) (not (tptp.r2_hidden D C))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 B))) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.m1_subset_1 C _let_1) (tptp.m1_subset_1 D _let_1)) (= (tptp.r2_hidden A (tptp.a_3_1_domain_1 B C D)) (exists ((E $$unsorted)) (and (tptp.m1_subset_1 E B) (= A E) (tptp.r2_hidden E C) (tptp.r2_hidden E D))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 B))) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.m1_subset_1 C _let_1) (tptp.m1_subset_1 D _let_1)) (= (tptp.r2_hidden A (tptp.a_3_2_domain_1 B C D)) (exists ((E $$unsorted)) (and (tptp.m1_subset_1 E B) (= A E) (or (tptp.r2_hidden E C) (tptp.r2_hidden E D)))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 B))) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.m1_subset_1 C _let_1) (tptp.m1_subset_1 D _let_1)) (= (tptp.r2_hidden A (tptp.a_3_3_domain_1 B C D)) (exists ((E $$unsorted)) (and (tptp.m1_subset_1 E B) (= A E) (tptp.r2_hidden E C) (not (tptp.r2_hidden E D)))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 B))) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.m1_subset_1 C _let_1) (tptp.m1_subset_1 D _let_1)) (= (tptp.r2_hidden A (tptp.a_3_4_domain_1 B C D)) (exists ((E $$unsorted)) (let ((_let_1 (tptp.r2_hidden E D))) (let ((_let_2 (tptp.r2_hidden E C))) (and (tptp.m1_subset_1 E B) (= A E) (or (and _let_2 (not _let_1)) (and (not _let_2) _let_1)))))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 B))) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.m1_subset_1 C _let_1) (tptp.m1_subset_1 D _let_1)) (= (tptp.r2_hidden A (tptp.a_3_5_domain_1 B C D)) (exists ((E $$unsorted)) (and (tptp.m1_subset_1 E B) (= A E) (= (not (tptp.r2_hidden E C)) (tptp.r2_hidden E D)))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 B))) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.m1_subset_1 C _let_1) (tptp.m1_subset_1 D _let_1)) (= (tptp.r2_hidden A (tptp.a_3_6_domain_1 B C D)) (exists ((E $$unsorted)) (and (tptp.m1_subset_1 E B) (= A E) (= (tptp.r2_hidden E C) (not (tptp.r2_hidden E D))))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 B))) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.m1_subset_1 C _let_1) (tptp.m1_subset_1 D _let_1)) (= (tptp.r2_hidden A (tptp.a_3_7_domain_1 B C D)) (exists ((E $$unsorted)) (and (tptp.m1_subset_1 E B) (= A E) (not (= (tptp.r2_hidden E C) (tptp.r2_hidden E D))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (= (tptp.r2_hidden A (tptp.a_1_2_domain_1 B)) (exists ((C $$unsorted)) (and (tptp.m1_subset_1 C B) (= A C) (tptp.p1_s1_domain_1 C)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (not (tptp.v1_xboole_0 C))) (= (tptp.r2_hidden A (tptp.a_2_3_domain_1 B C)) (exists ((D $$unsorted) (E $$unsorted)) (and (tptp.m1_subset_1 D B) (tptp.m1_subset_1 E C) (= A (tptp.k1_domain_1 B C D E)) (tptp.p1_s2_domain_1 D E)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (not (tptp.v1_xboole_0 C)) (not (tptp.v1_xboole_0 D))) (= (tptp.r2_hidden A (tptp.a_3_8_domain_1 B C D)) (exists ((E $$unsorted) (F $$unsorted) (G $$unsorted)) (and (tptp.m1_subset_1 E B) (tptp.m1_subset_1 F C) (tptp.m1_subset_1 G D) (= A (tptp.k4_domain_1 B C D E F G)) (tptp.p1_s3_domain_1 E F G)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (not (tptp.v1_xboole_0 C)) (not (tptp.v1_xboole_0 D)) (not (tptp.v1_xboole_0 E))) (= (tptp.r2_hidden A (tptp.a_4_2_domain_1 B C D E)) (exists ((F $$unsorted) (G $$unsorted) (H $$unsorted) (I $$unsorted)) (and (tptp.m1_subset_1 F B) (tptp.m1_subset_1 G C) (tptp.m1_subset_1 H D) (tptp.m1_subset_1 I E) (= A (tptp.k5_domain_1 B C D E F G H I)) (tptp.p1_s4_domain_1 F G H I)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (= (tptp.r2_hidden A (tptp.a_1_3_domain_1 B)) (exists ((C $$unsorted)) (and (tptp.m1_subset_1 C B) (= A C) (tptp.p1_s5_domain_1 C)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (= (tptp.r2_hidden A (tptp.a_1_4_domain_1 B)) (exists ((C $$unsorted)) (and (tptp.m1_subset_1 C B) (= A C) (tptp.p2_s5_domain_1 C)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (= (tptp.r2_hidden A (tptp.a_1_5_domain_1 B)) (exists ((C $$unsorted)) (and (tptp.m1_subset_1 C B) (= A C) (tptp.p1_s6_domain_1 C)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (= (tptp.r2_hidden A (tptp.a_1_6_domain_1 B)) (exists ((C $$unsorted)) (and (tptp.m1_subset_1 C B) (= A C) (tptp.p2_s6_domain_1 C)))))) (forall ((A $$unsorted)) (= (tptp.r2_hidden A tptp.a_0_0_domain_1) (exists ((B $$unsorted)) (and (tptp.m1_subset_1 B tptp.f1_s7_domain_1) (= A B) (tptp.p1_s7_domain_1 B))))) (forall ((A $$unsorted)) (= (tptp.r2_hidden A tptp.a_0_1_domain_1) (exists ((B $$unsorted)) (and (tptp.m1_subset_1 B tptp.f1_s8_domain_1) (= A (tptp.f3_s8_domain_1 B)) (tptp.p1_s8_domain_1 B))))) (forall ((A $$unsorted)) (= (tptp.r2_hidden A tptp.a_0_2_domain_1) (exists ((B $$unsorted) (C $$unsorted)) (and (tptp.m1_subset_1 B tptp.f1_s9_domain_1) (tptp.m1_subset_1 C tptp.f2_s9_domain_1) (= A (tptp.f4_s9_domain_1 B C)) (tptp.p1_s9_domain_1 B C))))) (forall ((A $$unsorted)) (= (tptp.r2_hidden A tptp.a_0_3_domain_1) (exists ((B $$unsorted)) (and (tptp.m1_subset_1 B tptp.f1_s10_domain_1) (= A B) (tptp.p1_s10_domain_1 B) (tptp.p2_s10_domain_1 B))))) (forall ((A $$unsorted)) (= (tptp.r2_hidden A tptp.a_0_4_domain_1) (exists ((B $$unsorted)) (and (tptp.m1_subset_1 B tptp.f1_s10_domain_1) (= A B) (tptp.p1_s10_domain_1 B))))) (forall ((A $$unsorted)) (= (tptp.r2_hidden A tptp.a_0_5_domain_1) (exists ((B $$unsorted)) (and (tptp.m1_subset_1 B tptp.f1_s10_domain_1) (= A B) (tptp.p2_s10_domain_1 B))))) (forall ((A $$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 $$unsorted)) (let ((_let_1 (tptp.k2_funcop_1 A B))) (and (tptp.v1_relat_1 _let_1) (tptp.v1_funct_1 _let_1)))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k2_funcop_1 tptp.k1_xboole_0 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)))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k2_funcop_1 B A))) (=> (tptp.v1_xboole_0 B) (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))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k3_funcop_1 A B C))) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (and (tptp.v1_relat_1 _let_1) (tptp.v1_funct_1 _let_1))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k4_funcop_1 A B C))) (=> (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 $$unsorted)) (let ((_let_1 (tptp.k5_funcop_1 A B C))) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (and (tptp.v1_relat_1 _let_1) (tptp.v1_funct_1 _let_1))))) (exists ((A $$unsorted)) (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_funcop_1 A))) (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.v1_funcop_1 A)) (and (tptp.v1_relat_1 _let_1) (tptp.v1_funct_1 _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k5_relat_1 B A))) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_funcop_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) (tptp.v1_funcop_1 _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k2_funcop_1 A B))) (=> (not (tptp.v1_xboole_0 B)) (and (tptp.v1_relat_1 _let_1) (tptp.v2_relat_1 _let_1) (tptp.v1_funct_1 _let_1))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (forall ((B $$unsorted) (C $$unsorted)) (=> (= A (tptp.k2_zfmisc_1 B C)) (or (= B tptp.k1_xboole_0) (= C tptp.k1_xboole_0) (and (= (tptp.k1_relat_1 A) B) (= (tptp.k2_relat_1 A) C))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k6_partfun1 A))) (= (tptp.k12_funct_3 A) (tptp.k13_funct_3 _let_1 _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)) (forall ((C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (=> (= (tptp.k1_relat_1 A) (tptp.k1_relat_1 B)) (= (tptp.k1_relat_1 (tptp.k5_relat_1 C A)) (tptp.k1_relat_1 (tptp.k5_relat_1 C B)))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (=> (and (= (tptp.k1_relat_1 A) tptp.k1_xboole_0) (= (tptp.k1_relat_1 B) tptp.k1_xboole_0)) (= A B)))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (= (= B (tptp.k1_funcop_1 A)) (and (= (tptp.k1_relat_1 B) (tptp.k1_relat_1 A)) (forall ((C $$unsorted)) (=> (tptp.r2_hidden C (tptp.k1_relat_1 A)) (and (forall ((D $$unsorted) (E $$unsorted)) (=> (= (tptp.k1_funct_1 A C) (tptp.k4_tarski D E)) (= (tptp.k1_funct_1 B C) (tptp.k4_tarski E D)))) (not (and (not (= (tptp.k1_funct_1 A C) (tptp.k1_funct_1 B C))) (forall ((D $$unsorted) (E $$unsorted)) (not (= (tptp.k1_funct_1 A C) (tptp.k4_tarski D 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)) (= (tptp.k13_funct_3 A B) (tptp.k1_funcop_1 (tptp.k13_funct_3 B A))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted)) (= (tptp.k1_funcop_1 (tptp.k7_relat_1 A B)) (tptp.k7_relat_1 (tptp.k1_funcop_1 A) B))))) true (forall ((A $$unsorted)) (let ((_let_1 (tptp.k12_funct_3 A))) (= (tptp.k1_funcop_1 _let_1) _let_1))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (forall ((C $$unsorted)) (= (tptp.k7_relat_1 (tptp.k13_funct_3 A B) C) (tptp.k13_funct_3 (tptp.k7_relat_1 A 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 $$unsorted)) (= (tptp.k7_relat_1 (tptp.k13_funct_3 A B) C) (tptp.k13_funct_3 A (tptp.k7_relat_1 B C)))))))) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.k2_funcop_1 A B) (tptp.k2_zfmisc_1 A (tptp.k1_tarski B)))) true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.r2_hidden B A) (= (tptp.k1_funct_1 (tptp.k2_funcop_1 A C) B) C))) (forall ((A $$unsorted) (B $$unsorted)) (=> (not (= A tptp.k1_xboole_0)) (= (tptp.k2_relat_1 (tptp.k2_funcop_1 A B)) (tptp.k1_tarski B)))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted)) (=> (= (tptp.k2_relat_1 A) (tptp.k1_tarski B)) (= A (tptp.k2_funcop_1 (tptp.k1_relat_1 A) B)))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k2_funcop_1 tptp.k1_xboole_0 A))) (and (= (tptp.k1_relat_1 _let_1) tptp.k1_xboole_0) (= (tptp.k2_relat_1 _let_1) tptp.k1_xboole_0)))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted)) (=> (forall ((C $$unsorted)) (=> (tptp.r2_hidden C (tptp.k1_relat_1 A)) (= (tptp.k1_funct_1 A C) B))) (= A (tptp.k2_funcop_1 (tptp.k1_relat_1 A) B)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.k7_relat_1 (tptp.k2_funcop_1 A B) C) (tptp.k2_funcop_1 (tptp.k3_xboole_0 A C) B))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k2_funcop_1 A B))) (and (= (tptp.k1_relat_1 _let_1) A) (tptp.r1_tarski (tptp.k2_relat_1 _let_1) (tptp.k1_tarski B))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.r2_hidden B C) (= (tptp.k10_relat_1 (tptp.k2_funcop_1 A B) C) A))) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.k10_relat_1 (tptp.k2_funcop_1 A B) (tptp.k1_tarski B)) A)) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (not (tptp.r2_hidden B C)) (= (tptp.k10_relat_1 (tptp.k2_funcop_1 A B) C) tptp.k1_xboole_0))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted) (C $$unsorted)) (=> (tptp.r2_hidden C (tptp.k1_relat_1 A)) (= (tptp.k5_relat_1 (tptp.k2_funcop_1 B C) A) (tptp.k2_funcop_1 B (tptp.k1_funct_1 A C))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted) (C $$unsorted)) (not (and (not (= B tptp.k1_xboole_0)) (tptp.r2_hidden C (tptp.k1_relat_1 A)) (= (tptp.k1_relat_1 (tptp.k5_relat_1 (tptp.k2_funcop_1 B C) A)) tptp.k1_xboole_0)))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted) (C $$unsorted)) (= (tptp.k5_relat_1 A (tptp.k2_funcop_1 B C)) (tptp.k2_funcop_1 (tptp.k10_relat_1 A B) C))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.k1_funcop_1 (tptp.k2_funcop_1 A (tptp.k4_tarski B C))) (tptp.k2_funcop_1 A (tptp.k4_tarski C B)))) (forall ((A $$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.k3_funcop_1 A B C) (tptp.k5_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)) (forall ((C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k3_funcop_1 C A B))) (=> (and (tptp.v1_relat_1 D) (tptp.v1_funct_1 D)) (=> (and (= (tptp.k1_relat_1 D) (tptp.k1_relat_1 _let_1)) (forall ((E $$unsorted)) (=> (tptp.r2_hidden E (tptp.k1_relat_1 (tptp.k3_funcop_1 C A B))) (= (tptp.k1_funct_1 D E) (tptp.k1_binop_1 C (tptp.k1_funct_1 A E) (tptp.k1_funct_1 B E)))))) (= D _let_1))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (forall ((C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k3_funcop_1 C A B))) (=> (tptp.r2_hidden D (tptp.k1_relat_1 _let_1)) (= (tptp.k1_funct_1 _let_1 D) (tptp.k1_binop_1 C (tptp.k1_funct_1 A D) (tptp.k1_funct_1 B D)))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (forall ((C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (forall ((D $$unsorted) (E $$unsorted)) (=> (and (tptp.v1_relat_1 E) (tptp.v1_funct_1 E)) (=> (= (tptp.k7_relat_1 A D) (tptp.k7_relat_1 B D)) (= (tptp.k7_relat_1 (tptp.k3_funcop_1 E A C) D) (tptp.k7_relat_1 (tptp.k3_funcop_1 E B 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)) (forall ((C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (forall ((D $$unsorted) (E $$unsorted)) (=> (and (tptp.v1_relat_1 E) (tptp.v1_funct_1 E)) (=> (= (tptp.k7_relat_1 A D) (tptp.k7_relat_1 B D)) (= (tptp.k7_relat_1 (tptp.k3_funcop_1 E C A) D) (tptp.k7_relat_1 (tptp.k3_funcop_1 E C B) D))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (forall ((C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (forall ((D $$unsorted)) (=> (and (tptp.v1_relat_1 D) (tptp.v1_funct_1 D)) (= (tptp.k5_relat_1 C (tptp.k3_funcop_1 D A B)) (tptp.k3_funcop_1 D (tptp.k5_relat_1 C A) (tptp.k5_relat_1 C B))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (forall ((C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (forall ((D $$unsorted)) (=> (and (tptp.v1_relat_1 D) (tptp.v1_funct_1 D)) (= (tptp.k5_relat_1 (tptp.k3_funcop_1 D B C) A) (tptp.k3_funcop_1 (tptp.k5_relat_1 D A) B C)))))))))) (forall ((A $$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)) (= (tptp.k4_funcop_1 A B C) (tptp.k5_relat_1 (tptp.k13_funct_3 B (tptp.k2_funcop_1 (tptp.k1_relat_1 B) C)) A))))))) 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 $$unsorted)) (= (tptp.k4_funcop_1 B A C) (tptp.k3_funcop_1 B A (tptp.k2_funcop_1 (tptp.k1_relat_1 A) C)))))))) (forall ((A $$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) (D $$unsorted)) (let ((_let_1 (tptp.k4_funcop_1 B A D))) (=> (tptp.r2_hidden C (tptp.k1_relat_1 _let_1)) (= (tptp.k1_funct_1 _let_1 C) (tptp.k1_binop_1 B (tptp.k1_funct_1 A C) D))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (forall ((C $$unsorted) (D $$unsorted)) (=> (and (tptp.v1_relat_1 D) (tptp.v1_funct_1 D)) (forall ((E $$unsorted)) (=> (= (tptp.k7_relat_1 A C) (tptp.k7_relat_1 B C)) (= (tptp.k7_relat_1 (tptp.k4_funcop_1 D A E) C) (tptp.k7_relat_1 (tptp.k4_funcop_1 D B E) 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)) (= (tptp.k5_relat_1 B (tptp.k4_funcop_1 C A D)) (tptp.k4_funcop_1 C (tptp.k5_relat_1 B A) 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 $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (forall ((D $$unsorted)) (= (tptp.k5_relat_1 (tptp.k4_funcop_1 C B D) A) (tptp.k4_funcop_1 (tptp.k5_relat_1 C A) B D))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (forall ((D $$unsorted)) (= (tptp.k5_relat_1 (tptp.k6_partfun1 B) (tptp.k4_funcop_1 C A D)) (tptp.k4_funcop_1 C (tptp.k7_relat_1 A B) D))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (= (tptp.k5_funcop_1 A B C) (tptp.k5_relat_1 (tptp.k13_funct_3 (tptp.k2_funcop_1 (tptp.k1_relat_1 C) B) C) A)))))) true (forall ((A $$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)) (= (tptp.k5_funcop_1 B C A) (tptp.k3_funcop_1 B (tptp.k2_funcop_1 (tptp.k1_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 $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k5_funcop_1 B D A))) (=> (tptp.r2_hidden C (tptp.k1_relat_1 _let_1)) (= (tptp.k1_funct_1 _let_1 C) (tptp.k1_binop_1 B D (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)) (forall ((C $$unsorted) (D $$unsorted)) (=> (and (tptp.v1_relat_1 D) (tptp.v1_funct_1 D)) (forall ((E $$unsorted)) (=> (= (tptp.k7_relat_1 A C) (tptp.k7_relat_1 B C)) (= (tptp.k7_relat_1 (tptp.k5_funcop_1 D E A) C) (tptp.k7_relat_1 (tptp.k5_funcop_1 D E B) C)))))))))) (forall ((A $$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)) (forall ((D $$unsorted)) (= (tptp.k5_relat_1 B (tptp.k5_funcop_1 C D A)) (tptp.k5_funcop_1 C D (tptp.k5_relat_1 B A)))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (forall ((C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (forall ((D $$unsorted)) (= (tptp.k5_relat_1 (tptp.k5_funcop_1 C D B) A) (tptp.k5_funcop_1 (tptp.k5_relat_1 C A) D B))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (forall ((D $$unsorted)) (= (tptp.k5_relat_1 (tptp.k6_partfun1 B) (tptp.k5_funcop_1 C D A)) (tptp.k5_funcop_1 C D (tptp.k7_relat_1 A B)))))))) (forall ((A $$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 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 $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D A B) (tptp.m2_relset_1 D A B)) (forall ((E $$unsorted)) (let ((_let_1 (tptp.k3_funcop_1 C D E))) (=> (and (tptp.v1_funct_1 E) (tptp.v1_funct_2 E A B) (tptp.m2_relset_1 E A B)) (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 $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$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)) (forall ((E $$unsorted)) (=> (and (tptp.v1_funct_1 E) (tptp.v1_funct_2 E B A) (tptp.m2_relset_1 E B A)) (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F B) (= (tptp.k8_funct_2 B A (tptp.k6_funcop_1 A B C D E) F) (tptp.k2_binop_1 A A A C (tptp.k8_funct_2 B A D F) (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 $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 B B))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_1 B) (tptp.m2_relset_1 C _let_1 B)) (forall ((D $$unsorted)) (=> (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 B) (tptp.m2_relset_1 F A B)) (=> (forall ((G $$unsorted)) (=> (tptp.m1_subset_1 G A) (= (tptp.k8_funct_2 A B F G) (tptp.k2_binop_1 B B B C (tptp.k8_funct_2 A B D G) (tptp.k8_funct_2 A B E G))))) (= F (tptp.k6_funcop_1 B A C D E)))))))))))))))) true (forall ((A $$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 $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D A B) (tptp.m2_relset_1 D A B)) (forall ((E $$unsorted)) (=> (and (tptp.v1_funct_1 E) (tptp.v1_funct_2 E B B) (tptp.m2_relset_1 E B B)) (= (tptp.k7_funct_2 A B B D (tptp.k6_funcop_1 B B C (tptp.k6_partfun1 B) E)) (tptp.k6_funcop_1 B A C D (tptp.k7_funct_2 A B B D E)))))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 B B))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_1 B) (tptp.m2_relset_1 C _let_1 B)) (forall ((D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D A B) (tptp.m2_relset_1 D A B)) (forall ((E $$unsorted)) (=> (and (tptp.v1_funct_1 E) (tptp.v1_funct_2 E B B) (tptp.m2_relset_1 E B B)) (= (tptp.k7_funct_2 A B B D (tptp.k6_funcop_1 B B C E (tptp.k6_partfun1 B))) (tptp.k6_funcop_1 B A C (tptp.k7_funct_2 A B B D E) D))))))))))))) (forall ((A $$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)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k6_partfun1 B))) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D A B) (tptp.m2_relset_1 D A B)) (= (tptp.k7_funct_2 A B B D (tptp.k6_funcop_1 B B C _let_1 _let_1)) (tptp.k6_funcop_1 B A C D D)))))))))))) (forall ((A $$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)) (=> (tptp.m1_subset_1 C A) (forall ((D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D A A) (tptp.m2_relset_1 D A A)) (= (tptp.k8_funct_2 A A (tptp.k6_funcop_1 A A B (tptp.k6_partfun1 A) D) C) (tptp.k2_binop_1 A A A B C (tptp.k8_funct_2 A A D C)))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_1 A) (tptp.m2_relset_1 B _let_1 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C A) (forall ((D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D A A) (tptp.m2_relset_1 D A A)) (= (tptp.k8_funct_2 A A (tptp.k6_funcop_1 A A B D (tptp.k6_partfun1 A)) C) (tptp.k2_binop_1 A A A B (tptp.k8_funct_2 A A D C) C))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_1 A) (tptp.m2_relset_1 B _let_1 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k6_partfun1 A))) (=> (tptp.m1_subset_1 C A) (= (tptp.k8_funct_2 A A (tptp.k6_funcop_1 A A B _let_1 _let_1) C) (tptp.k2_binop_1 A A A B C C)))))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k2_funcop_1 A C))) (=> (tptp.r2_hidden C B) (and (tptp.v1_funct_1 _let_1) (tptp.v1_funct_2 _let_1 A B) (tptp.m2_relset_1 _let_1 A B))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k2_funcop_1 A C))) (=> (tptp.m1_subset_1 C B) (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 $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$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)) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D A B) (tptp.m2_relset_1 D A B)) (forall ((E $$unsorted)) (let ((_let_1 (tptp.k4_funcop_1 C D E))) (=> (tptp.m1_subset_1 E B) (and (tptp.v1_funct_1 _let_1) (tptp.v1_funct_2 _let_1 A B) (tptp.m2_relset_1 _let_1 A B)))))))))))))) (forall ((A $$unsorted)) (=> (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 $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D B A) (tptp.m2_relset_1 D B A)) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E A) (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F B) (= (tptp.k8_funct_2 B A (tptp.k7_funcop_1 A B C D E) F) (tptp.k2_binop_1 A A A C (tptp.k8_funct_2 B A D F) E))))))))))))))) (forall ((A $$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 $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D B A) (tptp.m2_relset_1 D B A)) (forall ((E $$unsorted)) (=> (and (tptp.v1_funct_1 E) (tptp.v1_funct_2 E B A) (tptp.m2_relset_1 E B A)) (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F A) (=> (forall ((G $$unsorted)) (=> (tptp.m1_subset_1 G B) (= (tptp.k8_funct_2 B A D G) (tptp.k2_binop_1 A A A C (tptp.k8_funct_2 B A E G) F)))) (= D (tptp.k7_funcop_1 A B C E F)))))))))))))))) 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)) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D A B) (tptp.m2_relset_1 D A B)) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E B) (= (tptp.k7_funct_2 A B B D (tptp.k7_funcop_1 B B C (tptp.k6_partfun1 B) E)) (tptp.k7_funcop_1 B A C D E))))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_1 A) (tptp.m2_relset_1 B _let_1 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C A) (= (tptp.k8_funct_2 A A (tptp.k7_funcop_1 A A B (tptp.k6_partfun1 A) C) C) (tptp.k2_binop_1 A A A B C 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)) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D A B) (tptp.m2_relset_1 D A B)) (forall ((E $$unsorted)) (let ((_let_1 (tptp.k5_funcop_1 C E D))) (=> (tptp.m1_subset_1 E B) (and (tptp.v1_funct_1 _let_1) (tptp.v1_funct_2 _let_1 A B) (tptp.m2_relset_1 _let_1 A B)))))))))))))) (forall ((A $$unsorted)) (=> (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 $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D B A) (tptp.m2_relset_1 D B A)) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E A) (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F B) (= (tptp.k8_funct_2 B A (tptp.k8_funcop_1 A B C E D) F) (tptp.k2_binop_1 A A A C E (tptp.k8_funct_2 B A D F)))))))))))))))) (forall ((A $$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 $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D B A) (tptp.m2_relset_1 D B A)) (forall ((E $$unsorted)) (=> (and (tptp.v1_funct_1 E) (tptp.v1_funct_2 E B A) (tptp.m2_relset_1 E B A)) (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F A) (=> (forall ((G $$unsorted)) (=> (tptp.m1_subset_1 G B) (= (tptp.k8_funct_2 B A D G) (tptp.k2_binop_1 A A A C F (tptp.k8_funct_2 B A E G))))) (= D (tptp.k8_funcop_1 A B C F E)))))))))))))))) 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)) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D A B) (tptp.m2_relset_1 D A B)) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E B) (= (tptp.k7_funct_2 A B B D (tptp.k8_funcop_1 B B C E (tptp.k6_partfun1 B))) (tptp.k8_funcop_1 B A C E D))))))))))))) (forall ((A $$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)) (=> (tptp.m1_subset_1 C A) (= (tptp.k8_funct_2 A A (tptp.k8_funcop_1 A A B C (tptp.k6_partfun1 A)) C) (tptp.k2_binop_1 A A A B C 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)) (let ((_let_1 (tptp.k2_zfmisc_1 B 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 $$unsorted)) (let ((_let_1 (tptp.k8_funct_2 A (tptp.k2_zfmisc_1 B C) D E))) (=> (tptp.m1_subset_1 E A) (= (tptp.k1_funct_1 (tptp.k1_funcop_1 D) E) (tptp.k4_tarski (tptp.k2_mcart_1 _let_1) (tptp.k1_mcart_1 _let_1))))))))))))))) (forall ((A $$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 $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 B C))) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D A _let_1) (tptp.m2_relset_1 D A _let_1)) (tptp.m2_relset_1 (tptp.k2_relat_1 D) B C)))))))))) (forall ((A $$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 $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 B C))) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D A _let_1) (tptp.m2_relset_1 D A _let_1)) (= (tptp.k9_funcop_1 A C B (tptp.k10_funcop_1 A B C D)) (tptp.k4_relat_1 (tptp.k9_funcop_1 A B C D)))))))))))) (forall ((A $$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)) (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 $$unsorted)) (=> (tptp.m1_subset_1 F B) (=> (tptp.v2_binop_1 C B) (= (tptp.k7_funcop_1 B A C (tptp.k8_funcop_1 B A C E D) F) (tptp.k8_funcop_1 B A C E (tptp.k7_funcop_1 B A C D F))))))))))))))))) (forall ((A $$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 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 $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D A B) (tptp.m2_relset_1 D A B)) (forall ((E $$unsorted)) (=> (and (tptp.v1_funct_1 E) (tptp.v1_funct_2 E A B) (tptp.m2_relset_1 E A B)) (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F B) (=> (tptp.v2_binop_1 C B) (= (tptp.k6_funcop_1 B A C (tptp.k7_funcop_1 B A C D F) E) (tptp.k6_funcop_1 B A C D (tptp.k8_funcop_1 B A C F E))))))))))))))))) (forall ((A $$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 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 $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D A B) (tptp.m2_relset_1 D A B)) (forall ((E $$unsorted)) (=> (and (tptp.v1_funct_1 E) (tptp.v1_funct_2 E A B) (tptp.m2_relset_1 E A B)) (forall ((F $$unsorted)) (=> (and (tptp.v1_funct_1 F) (tptp.v1_funct_2 F A B) (tptp.m2_relset_1 F A B)) (=> (tptp.v2_binop_1 C B) (= (tptp.k6_funcop_1 B A C (tptp.k6_funcop_1 B A C D E) F) (tptp.k6_funcop_1 B A C D (tptp.k6_funcop_1 B A C E F))))))))))))))))) (forall ((A $$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 $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D A B) (tptp.m2_relset_1 D A B)) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E B) (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F B) (=> (tptp.v2_binop_1 C B) (= (tptp.k8_funcop_1 B A C (tptp.k2_binop_1 B B B C E F) D) (tptp.k8_funcop_1 B A C E (tptp.k8_funcop_1 B A C F D))))))))))))))))) (forall ((A $$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)) (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 $$unsorted)) (=> (tptp.m1_subset_1 F B) (=> (tptp.v2_binop_1 C B) (= (tptp.k7_funcop_1 B A C D (tptp.k2_binop_1 B B B C E F)) (tptp.k7_funcop_1 B A C (tptp.k7_funcop_1 B A C D E) F)))))))))))))))) (forall ((A $$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 $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D A B) (tptp.m2_relset_1 D A B)) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E B) (=> (tptp.v1_binop_1 C B) (= (tptp.k8_funcop_1 B A C E D) (tptp.k7_funcop_1 B A C D E)))))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 B B))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_1 B) (tptp.m2_relset_1 C _let_1 B)) (forall ((D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D A B) (tptp.m2_relset_1 D A B)) (forall ((E $$unsorted)) (=> (and (tptp.v1_funct_1 E) (tptp.v1_funct_2 E A B) (tptp.m2_relset_1 E A B)) (=> (tptp.v1_binop_1 C B) (= (tptp.k6_funcop_1 B A C D E) (tptp.k6_funcop_1 B A C E D)))))))))))))) (forall ((A $$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)) (forall ((D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D A B) (tptp.m2_relset_1 D A B)) (=> (tptp.v3_binop_1 C B) (= (tptp.k6_funcop_1 B A C D D) D))))))))))) (forall ((A $$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 $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D B A) (tptp.m2_relset_1 D B A)) (forall ((E $$unsorted)) (let ((_let_1 (tptp.k8_funct_2 B A D E))) (=> (tptp.m1_subset_1 E B) (=> (tptp.v3_binop_1 C A) (= (tptp.k8_funct_2 B A (tptp.k8_funcop_1 A B C _let_1 D) E) _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)) (forall ((E $$unsorted)) (let ((_let_1 (tptp.k8_funct_2 B A D E))) (=> (tptp.m1_subset_1 E B) (=> (tptp.v3_binop_1 C A) (= (tptp.k8_funct_2 B A (tptp.k7_funcop_1 A B C D _let_1) E) _let_1)))))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (forall ((C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (=> (tptp.r1_tarski (tptp.k2_zfmisc_1 (tptp.k2_relat_1 B) (tptp.k2_relat_1 C)) (tptp.k1_relat_1 A)) (= (tptp.k1_relat_1 (tptp.k3_funcop_1 A B C)) (tptp.k3_xboole_0 (tptp.k1_relat_1 B) (tptp.k1_relat_1 C)))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (= (tptp.v1_funcop_1 A) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k1_funct_1 A B))) (=> (tptp.r2_hidden B (tptp.k1_relat_1 A)) (and (tptp.v1_relat_1 _let_1) (tptp.v1_funct_1 _let_1)))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k1_funcop_1 A))) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (and (tptp.v1_relat_1 _let_1) (tptp.v1_funct_1 _let_1))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (= (tptp.k1_funcop_1 (tptp.k1_funcop_1 A)) A))) true true true true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (let ((_let_1 (tptp.k6_funcop_1 A B C D E))) (let ((_let_2 (tptp.k2_zfmisc_1 A A))) (=> (and (not (tptp.v1_xboole_0 A)) (not (tptp.v1_xboole_0 B)) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 A) (tptp.m1_relset_1 C _let_2 A) (tptp.v1_funct_1 D) (tptp.v1_funct_2 D B A) (tptp.m1_relset_1 D B A) (tptp.v1_funct_1 E) (tptp.v1_funct_2 E B A) (tptp.m1_relset_1 E B A)) (and (tptp.v1_funct_1 _let_1) (tptp.v1_funct_2 _let_1 B A) (tptp.m2_relset_1 _let_1 B A)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A A))) (=> (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 A) (tptp.m1_relset_1 C _let_1 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.v1_funct_2 E B A) (tptp.m1_relset_1 E B A)) (= (tptp.k6_funcop_1 A B C D E) (tptp.k3_funcop_1 C D E))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (let ((_let_1 (tptp.k7_funcop_1 A B C D E))) (let ((_let_2 (tptp.k2_zfmisc_1 A A))) (=> (and (not (tptp.v1_xboole_0 A)) (not (tptp.v1_xboole_0 B)) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 A) (tptp.m1_relset_1 C _let_2 A) (tptp.v1_funct_1 D) (tptp.v1_funct_2 D B A) (tptp.m1_relset_1 D B A) (tptp.m1_subset_1 E A)) (and (tptp.v1_funct_1 _let_1) (tptp.v1_funct_2 _let_1 B A) (tptp.m2_relset_1 _let_1 B A)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A A))) (=> (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 A) (tptp.m1_relset_1 C _let_1 A) (tptp.v1_funct_1 D) (tptp.v1_funct_2 D B A) (tptp.m1_relset_1 D B A) (tptp.m1_subset_1 E A)) (= (tptp.k7_funcop_1 A B C D E) (tptp.k4_funcop_1 C D E))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (let ((_let_1 (tptp.k8_funcop_1 A B C D E))) (let ((_let_2 (tptp.k2_zfmisc_1 A A))) (=> (and (not (tptp.v1_xboole_0 A)) (not (tptp.v1_xboole_0 B)) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 A) (tptp.m1_relset_1 C _let_2 A) (tptp.m1_subset_1 D A) (tptp.v1_funct_1 E) (tptp.v1_funct_2 E B A) (tptp.m1_relset_1 E B A)) (and (tptp.v1_funct_1 _let_1) (tptp.v1_funct_2 _let_1 B A) (tptp.m2_relset_1 _let_1 B A)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A A))) (=> (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 A) (tptp.m1_relset_1 C _let_1 A) (tptp.m1_subset_1 D A) (tptp.v1_funct_1 E) (tptp.v1_funct_2 E B A) (tptp.m1_relset_1 E B A)) (= (tptp.k8_funcop_1 A B C D E) (tptp.k5_funcop_1 C D E))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 B C))) (=> (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 A _let_1) (tptp.m1_relset_1 D A _let_1)) (tptp.m2_relset_1 (tptp.k9_funcop_1 A B C D) B C)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 B C))) (=> (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 A _let_1) (tptp.m1_relset_1 D A _let_1)) (= (tptp.k9_funcop_1 A B C D) (tptp.k2_relat_1 D))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 C B))) (let ((_let_2 (tptp.k10_funcop_1 A B C D))) (let ((_let_3 (tptp.k2_zfmisc_1 B C))) (=> (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 A _let_3) (tptp.m1_relset_1 D A _let_3)) (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 B C))) (=> (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 A _let_1) (tptp.m1_relset_1 D A _let_1)) (= (tptp.k10_funcop_1 A B C (tptp.k10_funcop_1 A B C D)) D)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 B C))) (=> (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 A _let_1) (tptp.m1_relset_1 D A _let_1)) (= (tptp.k10_funcop_1 A B C D) (tptp.k1_funcop_1 D))))) (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 $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 E F))) (let ((_let_2 (tptp.k2_zfmisc_1 (tptp.k2_zfmisc_1 A C) (tptp.k2_zfmisc_1 B D)))) (let ((_let_3 (tptp.k3_funct_4 G H))) (let ((_let_4 (tptp.k2_zfmisc_1 C D))) (=> (and (tptp.v1_funct_1 H) (tptp.v1_funct_2 H _let_4 F) (tptp.m2_relset_1 H _let_4 F)) (and (tptp.v1_funct_1 _let_3) (tptp.v1_funct_2 _let_3 _let_2 _let_1) (tptp.m2_relset_1 _let_3 _let_2 _let_1))))))))))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (= (tptp.k4_funct_4 A B C D) (tptp.k1_funct_4 (tptp.k2_funcop_1 (tptp.k1_tarski A) C) (tptp.k2_funcop_1 (tptp.k1_tarski B) D)))) (forall ((A $$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 $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.m1_subset_1 D A) (tptp.m1_subset_1 E A)) (= (tptp.k5_funct_4 A B C D E) (tptp.k4_funct_4 B C D E)))) (and _let_79 _let_78 _let_77 _let_80) (exists ((A $$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)))) (= tptp.k4_ordinal2 (tptp.k1_ordinal1 tptp.k1_xboole_0)) (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))))))) (forall ((A $$unsorted)) (= (tptp.k6_ordinal2 A) (tptp.k1_setfam_1 (tptp.k2_ordinal2 A)))) (forall ((A $$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)))) (forall ((A $$unsorted)) (= (tptp.v4_ordinal2 A) (tptp.r2_hidden A tptp.k5_ordinal2))) true (forall ((A $$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_135 (= (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_135 (= (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))))) (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))))) 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 $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k5_finsub_1 A)) (tptp.v1_finset_1 B))) (forall ((A $$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))))) (forall ((A $$unsorted)) (= (tptp.v2_finsub_1 A) (forall ((B $$unsorted) (C $$unsorted)) (=> (and (tptp.r2_hidden B A) (tptp.r2_hidden C A)) (tptp.r2_hidden (tptp.k3_xboole_0 B C) A))))) (forall ((A $$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))))) (forall ((A $$unsorted)) (= (tptp.v4_finsub_1 A) (and (tptp.v1_finsub_1 A) (tptp.v3_finsub_1 A)))) true true true true true true true true true (forall ((A $$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_17) 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 $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k5_finsub_1 B)) (=> (= (tptp.k2_funct_2 B A C D) tptp.k1_xboole_0) (= D tptp.k1_xboole_0)))))))))) (forall ((A $$unsorted)) (= (tptp.k1_setwiseo A) tptp.k1_xboole_0)) (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 $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.k1_funct_2 C D)) (and (tptp.v1_funct_1 E) (tptp.m2_relset_1 E B A))))))))) (forall ((A $$unsorted)) (= (tptp.v1_fraenkel A) (forall ((B $$unsorted)) (=> (tptp.r2_hidden B A) (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)))))) true (forall ((A $$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)))) (= tptp.a_0_21_fraenkel tptp.a_0_23_fraenkel) (= tptp.a_0_24_fraenkel tptp.a_0_26_fraenkel) (= tptp.a_0_27_fraenkel tptp.a_0_29_fraenkel) (=> (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 $$unsorted)) (=> (tptp.m1_subset_1 C tptp.f1_s16_fraenkel) (not (and (tptp.p2_s16_fraenkel C B) (= (tptp.f3_s16_fraenkel A B) (tptp.f3_s16_fraenkel C B)))))))))))) (tptp.r1_tarski tptp.a_0_30_fraenkel tptp.a_0_31_fraenkel)) (tptp.r1_tarski tptp.a_0_32_fraenkel tptp.f2_s17_fraenkel) (tptp.r1_xboole_0 tptp.a_0_33_fraenkel tptp.f2_s18_fraenkel) (=> (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.f1_s19_fraenkel) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.f2_s19_fraenkel) (= (tptp.p2_s19_fraenkel A B) (and (= B tptp.f4_s19_fraenkel) (tptp.p1_s19_fraenkel A B))))))) (= tptp.a_0_34_fraenkel tptp.a_0_35_fraenkel)) (= tptp.a_0_36_fraenkel tptp.a_0_37_fraenkel) (=> (tptp.v1_finset_1 tptp.f2_s21_fraenkel) (tptp.v1_finset_1 tptp.a_0_38_fraenkel)) (=> (and (tptp.v1_finset_1 tptp.f3_s22_fraenkel) (tptp.v1_finset_1 tptp.f4_s22_fraenkel)) (tptp.v1_finset_1 tptp.a_0_39_fraenkel)) (=> (and (tptp.v1_finset_1 tptp.f3_s25_fraenkel) (tptp.v1_finset_1 tptp.f4_s25_fraenkel) (forall ((A $$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_88 _let_89 _let_87 _let_86 (= tptp.k1_numbers (tptp.k4_xboole_0 (tptp.k2_xboole_0 tptp.k2_arytm_2 (tptp.k2_zfmisc_1 _let_134 tptp.k2_arytm_2)) _let_133)) (= tptp.k3_numbers (tptp.k4_xboole_0 (tptp.k2_xboole_0 tptp.k6_arytm_3 (tptp.k2_zfmisc_1 _let_134 tptp.k6_arytm_3)) _let_133)) (= tptp.k4_numbers (tptp.k4_xboole_0 (tptp.k2_xboole_0 tptp.k5_ordinal2 (tptp.k2_zfmisc_1 _let_134 tptp.k5_ordinal2)) _let_133)) (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 _let_14) (= tptp.k5_numbers tptp.k5_ordinal2) (= 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)) (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)))))) (forall ((A $$unsorted)) (= (tptp.v1_xreal_0 A) (tptp.r2_hidden A tptp.k1_numbers))) (forall ((A $$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 $$unsorted)) (=> (tptp.m2_subset_1 C tptp.k1_numbers tptp.k5_numbers) (and (not (= B C)) (not (= B (tptp.k1_real_1 C))))))))))) (forall ((A $$unsorted)) (= (tptp.v1_int_1 A) (tptp.r2_hidden A tptp.k4_numbers))) 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 $$unsorted)) (=> (tptp.m1_subset_1 A tptp.k3_numbers) (and (tptp.v1_xcmplx_0 A) (tptp.v1_xreal_0 A) (tptp.v1_rat_1 A)))) (and _let_112 _let_111 _let_132 _let_131) (and _let_110 _let_109 _let_122 _let_121) (and _let_107 _let_106 _let_130 _let_129) (and _let_105 _let_104 _let_120 _let_119) (and _let_103 _let_102 _let_128 _let_127) (and _let_101 _let_100 _let_118 _let_117) (and _let_98 _let_97 _let_126 _let_125) (and _let_96 _let_95 _let_116 _let_115) (and _let_93 _let_92 _let_124 _let_123) (and _let_91 _let_90 _let_114 _let_113) (and _let_112 _let_111 _let_132 _let_131 (tptp.v1_setwiseo tptp.k27_binop_2 tptp.k2_numbers)) (and _let_107 _let_106 _let_130 _let_129 (tptp.v1_setwiseo tptp.k33_binop_2 tptp.k1_numbers)) (and _let_103 _let_102 _let_128 _let_127 (tptp.v1_setwiseo tptp.k39_binop_2 tptp.k3_numbers)) (and _let_98 _let_97 _let_126 _let_125 (tptp.v1_setwiseo tptp.k44_binop_2 tptp.k4_numbers)) (and _let_93 _let_92 _let_124 _let_123 (tptp.v1_setwiseo tptp.k47_binop_2 tptp.k5_numbers)) (and _let_110 _let_109 _let_122 _let_121 (tptp.v1_setwiseo tptp.k29_binop_2 tptp.k2_numbers)) (and _let_105 _let_104 _let_120 _let_119 (tptp.v1_setwiseo tptp.k35_binop_2 tptp.k1_numbers)) (and _let_101 _let_100 _let_118 _let_117 (tptp.v1_setwiseo tptp.k41_binop_2 tptp.k3_numbers)) (and _let_96 _let_95 _let_116 _let_115 (tptp.v1_setwiseo tptp.k46_binop_2 tptp.k4_numbers)) (and _let_91 _let_90 _let_114 _let_113 (tptp.v1_setwiseo tptp.k48_binop_2 tptp.k5_numbers)) (forall ((A $$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) (= (tptp.k3_binop_1 tptp.k5_numbers tptp.k47_binop_2) tptp.np__0) (= (tptp.k3_binop_1 tptp.k2_numbers tptp.k29_binop_2) tptp.np__1) (= (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_112 _let_111 (tptp.m2_relset_1 tptp.k27_binop_2 _let_108 tptp.k2_numbers)) (and (tptp.v1_funct_1 tptp.k28_binop_2) (tptp.v1_funct_2 tptp.k28_binop_2 _let_108 tptp.k2_numbers) (tptp.m2_relset_1 tptp.k28_binop_2 _let_108 tptp.k2_numbers)) (and _let_110 _let_109 (tptp.m2_relset_1 tptp.k29_binop_2 _let_108 tptp.k2_numbers)) (and (tptp.v1_funct_1 tptp.k30_binop_2) (tptp.v1_funct_2 tptp.k30_binop_2 _let_108 tptp.k2_numbers) (tptp.m2_relset_1 tptp.k30_binop_2 _let_108 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_107 _let_106 (tptp.m2_relset_1 tptp.k33_binop_2 _let_42 tptp.k1_numbers)) (and (tptp.v1_funct_1 tptp.k34_binop_2) (tptp.v1_funct_2 tptp.k34_binop_2 _let_42 tptp.k1_numbers) (tptp.m2_relset_1 tptp.k34_binop_2 _let_42 tptp.k1_numbers)) (and _let_105 _let_104 (tptp.m2_relset_1 tptp.k35_binop_2 _let_42 tptp.k1_numbers)) (and (tptp.v1_funct_1 tptp.k36_binop_2) (tptp.v1_funct_2 tptp.k36_binop_2 _let_42 tptp.k1_numbers) (tptp.m2_relset_1 tptp.k36_binop_2 _let_42 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_103 _let_102 (tptp.m2_relset_1 tptp.k39_binop_2 _let_99 tptp.k3_numbers)) (and (tptp.v1_funct_1 tptp.k40_binop_2) (tptp.v1_funct_2 tptp.k40_binop_2 _let_99 tptp.k3_numbers) (tptp.m2_relset_1 tptp.k40_binop_2 _let_99 tptp.k3_numbers)) (and _let_101 _let_100 (tptp.m2_relset_1 tptp.k41_binop_2 _let_99 tptp.k3_numbers)) (and (tptp.v1_funct_1 tptp.k42_binop_2) (tptp.v1_funct_2 tptp.k42_binop_2 _let_99 tptp.k3_numbers) (tptp.m2_relset_1 tptp.k42_binop_2 _let_99 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_98 _let_97 (tptp.m2_relset_1 tptp.k44_binop_2 _let_94 tptp.k4_numbers)) (and (tptp.v1_funct_1 tptp.k45_binop_2) (tptp.v1_funct_2 tptp.k45_binop_2 _let_94 tptp.k4_numbers) (tptp.m2_relset_1 tptp.k45_binop_2 _let_94 tptp.k4_numbers)) (and _let_96 _let_95 (tptp.m2_relset_1 tptp.k46_binop_2 _let_94 tptp.k4_numbers)) (and _let_93 _let_92 (tptp.m2_relset_1 tptp.k47_binop_2 _let_40 tptp.k5_numbers)) (and _let_91 _let_90 (tptp.m2_relset_1 tptp.k48_binop_2 _let_40 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 $$unsorted)) (=> (tptp.m1_subset_1 A (tptp.k1_zfmisc_1 tptp.k5_numbers)) (and (tptp.v1_membered A) (tptp.v2_membered A) (tptp.v3_membered A) (tptp.v4_membered A) (tptp.v5_membered A)))) (and _let_89 (tptp.v1_membered tptp.k2_numbers)) (and _let_88 (tptp.v1_membered tptp.k1_numbers) (tptp.v2_membered tptp.k1_numbers)) (and _let_87 (tptp.v1_membered tptp.k3_numbers) (tptp.v2_membered tptp.k3_numbers) (tptp.v3_membered tptp.k3_numbers)) (and _let_86 (tptp.v1_membered tptp.k4_numbers) (tptp.v2_membered tptp.k4_numbers) (tptp.v3_membered tptp.k4_numbers) (tptp.v4_membered tptp.k4_numbers)) (and _let_76 _let_75 _let_74 _let_73 _let_72) (forall ((A $$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 $$unsorted)) (=> (tptp.m1_subset_1 B A) (and (tptp.v1_xcmplx_0 B) (tptp.v4_ordinal2 B) (tptp.v1_xreal_0 B) (tptp.v1_int_1 B) (tptp.v1_rat_1 B)))))) (and _let_59 (tptp.v1_membered tptp.k1_xboole_0) (tptp.v2_membered tptp.k1_xboole_0) (tptp.v3_membered tptp.k1_xboole_0) (tptp.v4_membered tptp.k1_xboole_0) (tptp.v5_membered tptp.k1_xboole_0)) (forall ((A $$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))))) (forall ((A $$unsorted)) (= (tptp.v1_membered A) (forall ((B $$unsorted)) (=> (tptp.r2_hidden B A) (tptp.v1_xcmplx_0 B))))) (forall ((A $$unsorted)) (= (tptp.v2_membered A) (forall ((B $$unsorted)) (=> (tptp.r2_hidden B A) (tptp.v1_xreal_0 B))))) (forall ((A $$unsorted)) (= (tptp.v3_membered A) (forall ((B $$unsorted)) (=> (tptp.r2_hidden B A) (tptp.v1_rat_1 B))))) (forall ((A $$unsorted)) (= (tptp.v4_membered A) (forall ((B $$unsorted)) (=> (tptp.r2_hidden B A) (tptp.v1_int_1 B))))) (forall ((A $$unsorted)) (= (tptp.v5_membered A) (forall ((B $$unsorted)) (=> (tptp.r2_hidden B A) (tptp.v4_ordinal2 B))))) (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 $$unsorted)) (let ((_let_1 (tptp.k1_card_1 A))) (=> (tptp.v1_finset_1 A) (and (tptp.v1_ordinal1 _let_1) (tptp.v2_ordinal1 _let_1) (tptp.v3_ordinal1 _let_1) (tptp.v1_finset_1 _let_1) (tptp.v1_card_1 _let_1))))) (forall ((A $$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)))))))) 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 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.r2_wellord2 A B) (= (tptp.k1_card_1 A) (tptp.k1_card_1 B)))) (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 $$unsorted)) (=> (tptp.v3_ordinal1 D) (=> (and (tptp.r2_hidden D (tptp.k1_ordinal1 A)) (tptp.v4_ordinal1 D)) (or (= D tptp.k1_xboole_0) (= (tptp.k1_funct_1 C D) (tptp.k1_card_1 (tptp.k8_ordinal2 (tptp.k2_ordinal1 C D)))))))))))))) true (= _let_60 _let_71) (forall ((A $$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_60 tptp.k5_ordinal2) (= _let_85 tptp.k5_ordinal2) (tptp.v2_card_1 _let_85) (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_59 _let_58 _let_57 _let_56 _let_55 _let_54 _let_53) (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 $$unsorted)) (=> (tptp.v4_ordinal2 B) (= (tptp.r2_hidden A (tptp.k2_finseq_1 B)) (and (tptp.r1_xreal_0 tptp.np__1 A) (tptp.r1_xreal_0 A B))))))) (and (= (tptp.k2_finseq_1 tptp.np__0) tptp.k1_xboole_0) (= (tptp.k2_finseq_1 tptp.np__1) _let_11) (= (tptp.k2_finseq_1 tptp.np__2) _let_10)) (forall ((A $$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 $$unsorted)) (=> (tptp.m2_subset_1 B tptp.k1_numbers tptp.k5_numbers) (= (= B (tptp.k3_finseq_1 A)) (= (tptp.k2_finseq_1 B) (tptp.k1_relat_1 A))))))) true (and _let_58 _let_56 _let_53) (forall ((A $$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)) (forall ((A $$unsorted)) (= (tptp.k5_finseq_1 A) (tptp.k1_tarski (tptp.k4_tarski tptp.np__1 A)))) (forall ((A $$unsorted)) (= (tptp.k6_finseq_1 A) tptp.k1_xboole_0)) 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)))))))) (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)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.k11_finseq_1 A B C) (tptp.k7_finseq_1 (tptp.k7_finseq_1 (tptp.k9_finseq_1 A) (tptp.k9_finseq_1 B)) (tptp.k9_finseq_1 C)))) true (forall ((A $$unsorted)) (= (tptp.k9_finseq_1 A) (tptp.k1_tarski (tptp.k4_tarski tptp.np__1 A)))) 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))) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.m2_finseq_1 B A) (tptp.m1_finseq_1 B A))) 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)) (=> (not (tptp.v1_xboole_0 A)) (not (tptp.v1_xboole_0 (tptp.k1_orders_1 A))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (=> (not (tptp.r2_hidden tptp.k1_xboole_0 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k3_tarski A))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B A _let_1) (tptp.m2_relset_1 B A _let_1)) (= (tptp.m1_orders_1 B A) (forall ((C $$unsorted)) (=> (tptp.r2_hidden C A) (tptp.r2_hidden (tptp.k1_funct_1 B C) C)))))))))) (forall ((A $$unsorted)) (= (tptp.k1_orders_1 A) (tptp.k4_xboole_0 (tptp.k1_zfmisc_1 A) (tptp.k1_tarski tptp.k1_xboole_0)))) true true true (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (not (tptp.r2_hidden tptp.k1_xboole_0 (tptp.k1_orders_1 A))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (= (tptp.r1_tarski A B) (tptp.r2_hidden A (tptp.k1_orders_1 B))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (= (tptp.m1_subset_1 A (tptp.k1_zfmisc_1 B)) (tptp.r2_hidden A (tptp.k1_orders_1 B))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (tptp.r2_hidden A (tptp.k1_orders_1 A)))) true true true true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_relat_2 C) (tptp.v4_relat_2 C) (tptp.v8_relat_2 C) (tptp.v1_partfun1 C A A) (tptp.m2_relset_1 C A A)) (=> (tptp.r2_hidden B A) (tptp.r2_hidden (tptp.k4_tarski B B) C)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.v1_relat_2 D) (tptp.v4_relat_2 D) (tptp.v8_relat_2 D) (tptp.v1_partfun1 D A A) (tptp.m2_relset_1 D A A)) (=> (and (tptp.r2_hidden B A) (tptp.r2_hidden C A) (tptp.r2_hidden (tptp.k4_tarski B C) D) (tptp.r2_hidden (tptp.k4_tarski C B) D)) (= B C)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (=> (and (tptp.v1_relat_2 E) (tptp.v4_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 A) (tptp.r2_hidden C A) (tptp.r2_hidden D A) (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)))) 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 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 (forall ((A $$unsorted)) (let ((_let_1 (= (tptp.k3_tarski A) tptp.k1_xboole_0))) (and (not (and (exists ((B $$unsorted)) (and (not (= B tptp.k1_xboole_0)) (tptp.r2_hidden B A))) _let_1)) (not (and (not _let_1) (forall ((B $$unsorted)) (not (and (not (= B tptp.k1_xboole_0)) (tptp.r2_hidden B A))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.v1_relat_1 B) (= (tptp.r7_relat_2 B A) (and (tptp.r1_relat_2 B A) (tptp.r6_relat_2 B A))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.v1_relat_1 C) (=> (and (tptp.r1_relat_2 C A) (tptp.r1_tarski B A)) (tptp.r1_relat_2 C B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.v1_relat_1 C) (=> (and (tptp.r4_relat_2 C A) (tptp.r1_tarski B A)) (tptp.r4_relat_2 C B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.v1_relat_1 C) (=> (and (tptp.r8_relat_2 C A) (tptp.r1_tarski B A)) (tptp.r8_relat_2 C B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.v1_relat_1 C) (=> (and (tptp.r7_relat_2 C A) (tptp.r1_tarski B A)) (tptp.r7_relat_2 C B)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_partfun1 B A A) (tptp.m2_relset_1 B A A)) (= (tptp.k3_relat_1 B) A))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m2_relset_1 B A A) (=> (tptp.r1_relat_2 B A) (and (= (tptp.k4_relset_1 A A B) A) (= (tptp.k3_relat_1 B) A))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_relat_2 B) (tptp.v4_relat_2 B) (tptp.v8_relat_2 B) (tptp.v1_partfun1 B A A) (tptp.m2_relset_1 B A A)) (and (= (tptp.k4_relset_1 A A B) A) (= (tptp.k5_relset_1 A A B) A)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_relat_2 B) (tptp.v4_relat_2 B) (tptp.v8_relat_2 B) (tptp.v1_partfun1 B A A) (tptp.m2_relset_1 B A A)) (= (tptp.k3_relat_1 B) A))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (= (tptp.v1_orders_1 A) (and (tptp.v1_relat_2 A) (tptp.v8_relat_2 A))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (= (tptp.v2_orders_1 A) (and (tptp.v1_relat_2 A) (tptp.v8_relat_2 A) (tptp.v4_relat_2 A))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (= (tptp.v3_orders_1 A) (and (tptp.v1_relat_2 A) (tptp.v8_relat_2 A) (tptp.v4_relat_2 A) (tptp.v6_relat_2 A))))) true true true (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (=> (tptp.v1_orders_1 A) (tptp.v1_orders_1 (tptp.k4_relat_1 A))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (=> (tptp.v2_orders_1 A) (tptp.v2_orders_1 (tptp.k4_relat_1 A))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (=> (tptp.v3_orders_1 A) (tptp.v3_orders_1 (tptp.k4_relat_1 A))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (=> (tptp.v2_wellord1 A) (and (tptp.v1_orders_1 A) (tptp.v2_orders_1 A) (tptp.v3_orders_1 A))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (=> (tptp.v3_orders_1 A) (and (tptp.v1_orders_1 A) (tptp.v2_orders_1 A))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (=> (tptp.v2_orders_1 A) (tptp.v1_orders_1 A)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_relat_2 B) (tptp.v4_relat_2 B) (tptp.v8_relat_2 B) (tptp.v1_partfun1 B A A) (tptp.m2_relset_1 B A A)) (tptp.v2_orders_1 B))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_relat_2 B) (tptp.v4_relat_2 B) (tptp.v8_relat_2 B) (tptp.v1_partfun1 B A A) (tptp.m2_relset_1 B A A)) (tptp.v1_orders_1 B))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_relat_2 B) (tptp.v4_relat_2 B) (tptp.v8_relat_2 B) (tptp.v1_partfun1 B A A) (tptp.m2_relset_1 B A A)) (=> (tptp.v6_relat_2 B) (tptp.v3_orders_1 B)))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (forall ((B $$unsorted)) (=> (tptp.v1_orders_1 A) (tptp.v1_orders_1 (tptp.k2_wellord1 A B)))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (forall ((B $$unsorted)) (=> (tptp.v2_orders_1 A) (tptp.v2_orders_1 (tptp.k2_wellord1 A B)))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (forall ((B $$unsorted)) (=> (tptp.v3_orders_1 A) (tptp.v3_orders_1 (tptp.k2_wellord1 A B)))))) true true true (and (tptp.v1_orders_1 tptp.k1_xboole_0) (tptp.v2_orders_1 tptp.k1_xboole_0) (tptp.v3_orders_1 tptp.k1_xboole_0) (tptp.v2_wellord1 tptp.k1_xboole_0)) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k6_partfun1 A))) (and (tptp.v1_orders_1 _let_1) (tptp.v2_orders_1 _let_1)))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (forall ((B $$unsorted)) (= (tptp.r1_orders_1 A B) (and (tptp.r1_relat_2 A B) (tptp.r8_relat_2 A B)))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (forall ((B $$unsorted)) (= (tptp.r2_orders_1 A B) (and (tptp.r1_relat_2 A B) (tptp.r8_relat_2 A B) (tptp.r4_relat_2 A B)))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (forall ((B $$unsorted)) (= (tptp.r3_orders_1 A B) (and (tptp.r1_relat_2 A B) (tptp.r8_relat_2 A B) (tptp.r4_relat_2 A B) (tptp.r6_relat_2 A B)))))) true true true (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (forall ((B $$unsorted)) (=> (tptp.r2_wellord1 A B) (and (tptp.r1_orders_1 A B) (tptp.r2_orders_1 A B) (tptp.r3_orders_1 A B)))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (forall ((B $$unsorted)) (=> (tptp.r3_orders_1 A B) (and (tptp.r1_orders_1 A B) (tptp.r2_orders_1 A B)))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (forall ((B $$unsorted)) (=> (tptp.r2_orders_1 A B) (tptp.r1_orders_1 A B))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (=> (tptp.v1_orders_1 A) (tptp.r1_orders_1 A (tptp.k3_relat_1 A))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (forall ((B $$unsorted) (C $$unsorted)) (=> (and (tptp.r1_orders_1 A B) (tptp.r1_tarski C B)) (tptp.r1_orders_1 A C))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (forall ((B $$unsorted)) (=> (tptp.r1_orders_1 A B) (tptp.v1_orders_1 (tptp.k2_wellord1 A B)))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (=> (tptp.v2_orders_1 A) (tptp.r2_orders_1 A (tptp.k3_relat_1 A))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (forall ((B $$unsorted) (C $$unsorted)) (=> (and (tptp.r2_orders_1 A B) (tptp.r1_tarski C B)) (tptp.r2_orders_1 A C))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (forall ((B $$unsorted)) (=> (tptp.r2_orders_1 A B) (tptp.v2_orders_1 (tptp.k2_wellord1 A B)))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (=> (tptp.v3_orders_1 A) (tptp.r3_orders_1 A (tptp.k3_relat_1 A))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (forall ((B $$unsorted) (C $$unsorted)) (=> (and (tptp.r3_orders_1 A B) (tptp.r1_tarski C B)) (tptp.r3_orders_1 A C))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (forall ((B $$unsorted)) (=> (tptp.r3_orders_1 A B) (tptp.v3_orders_1 (tptp.k2_wellord1 A B)))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (forall ((B $$unsorted)) (=> (tptp.r1_orders_1 A B) (tptp.r1_orders_1 (tptp.k4_relat_1 A) B))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (forall ((B $$unsorted)) (=> (tptp.r2_orders_1 A B) (tptp.r2_orders_1 (tptp.k4_relat_1 A) B))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (forall ((B $$unsorted)) (=> (tptp.r3_orders_1 A B) (tptp.r3_orders_1 (tptp.k4_relat_1 A) B))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_relat_2 B) (tptp.v4_relat_2 B) (tptp.v8_relat_2 B) (tptp.v1_partfun1 B A A) (tptp.m2_relset_1 B A A)) (tptp.r1_orders_1 B A))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_relat_2 B) (tptp.v4_relat_2 B) (tptp.v8_relat_2 B) (tptp.v1_partfun1 B A A) (tptp.m2_relset_1 B A A)) (tptp.r2_orders_1 B A))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k2_wellord1 A B))) (=> (tptp.r2_orders_1 A B) (and (tptp.v1_relat_2 _let_1) (tptp.v4_relat_2 _let_1) (tptp.v8_relat_2 _let_1) (tptp.v1_partfun1 _let_1 B B) (tptp.m2_relset_1 _let_1 B B))))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k2_wellord1 A B))) (=> (tptp.r3_orders_1 A B) (and (tptp.v1_relat_2 _let_1) (tptp.v4_relat_2 _let_1) (tptp.v8_relat_2 _let_1) (tptp.v1_partfun1 _let_1 B B) (tptp.m2_relset_1 _let_1 B B))))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k2_wellord1 A B))) (=> (tptp.r2_wellord1 A B) (and (tptp.v1_relat_2 _let_1) (tptp.v4_relat_2 _let_1) (tptp.v8_relat_2 _let_1) (tptp.v1_partfun1 _let_1 B B) (tptp.m2_relset_1 _let_1 B B))))))) true true (forall ((A $$unsorted)) (let ((_let_1 (tptp.k6_partfun1 A))) (and (tptp.r1_orders_1 _let_1 A) (tptp.r2_orders_1 _let_1 A)))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (forall ((B $$unsorted)) (= (tptp.r4_orders_1 A B) (forall ((C $$unsorted)) (not (and (tptp.r1_tarski C B) (tptp.v3_orders_1 (tptp.k2_wellord1 A C)) (forall ((D $$unsorted)) (not (and (tptp.r2_hidden D B) (forall ((E $$unsorted)) (=> (tptp.r2_hidden E C) (tptp.r2_hidden (tptp.k4_tarski E D) A))))))))))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (forall ((B $$unsorted)) (= (tptp.r5_orders_1 A B) (forall ((C $$unsorted)) (not (and (tptp.r1_tarski C B) (tptp.v3_orders_1 (tptp.k2_wellord1 A C)) (forall ((D $$unsorted)) (not (and (tptp.r2_hidden D B) (forall ((E $$unsorted)) (=> (tptp.r2_hidden E C) (tptp.r2_hidden (tptp.k4_tarski D E) A))))))))))))) true true (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (forall ((B $$unsorted)) (not (and (tptp.r4_orders_1 A B) (= B tptp.k1_xboole_0)))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (forall ((B $$unsorted)) (not (and (tptp.r5_orders_1 A B) (= B tptp.k1_xboole_0)))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (forall ((B $$unsorted)) (= (tptp.r4_orders_1 A B) (tptp.r5_orders_1 (tptp.k4_relat_1 A) B))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (forall ((B $$unsorted)) (= (tptp.r4_orders_1 (tptp.k4_relat_1 A) B) (tptp.r5_orders_1 A B))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (forall ((B $$unsorted)) (= (tptp.r6_orders_1 A B) (and (tptp.r2_hidden B (tptp.k3_relat_1 A)) (forall ((C $$unsorted)) (not (and (tptp.r2_hidden C (tptp.k3_relat_1 A)) (not (= C B)) (tptp.r2_hidden (tptp.k4_tarski B C) A))))))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (forall ((B $$unsorted)) (= (tptp.r7_orders_1 A B) (and (tptp.r2_hidden B (tptp.k3_relat_1 A)) (forall ((C $$unsorted)) (not (and (tptp.r2_hidden C (tptp.k3_relat_1 A)) (not (= C B)) (tptp.r2_hidden (tptp.k4_tarski C B) A))))))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (forall ((B $$unsorted)) (= (tptp.r8_orders_1 A B) (and (tptp.r2_hidden B (tptp.k3_relat_1 A)) (forall ((C $$unsorted)) (=> (tptp.r2_hidden C (tptp.k3_relat_1 A)) (or (= C B) (tptp.r2_hidden (tptp.k4_tarski C B) A))))))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (forall ((B $$unsorted)) (= (tptp.r9_orders_1 A B) (and (tptp.r2_hidden B (tptp.k3_relat_1 A)) (forall ((C $$unsorted)) (=> (tptp.r2_hidden C (tptp.k3_relat_1 A)) (or (= C B) (tptp.r2_hidden (tptp.k4_tarski B C) A))))))))) true true true true (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (forall ((B $$unsorted)) (=> (and (tptp.r9_orders_1 A B) (tptp.v4_relat_2 A)) (tptp.r7_orders_1 A B))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (forall ((B $$unsorted)) (=> (and (tptp.r8_orders_1 A B) (tptp.v4_relat_2 A)) (tptp.r6_orders_1 A B))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (forall ((B $$unsorted)) (=> (and (tptp.r7_orders_1 A B) (tptp.v6_relat_2 A)) (tptp.r9_orders_1 A B))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (forall ((B $$unsorted)) (=> (and (tptp.r6_orders_1 A B) (tptp.v6_relat_2 A)) (tptp.r8_orders_1 A B))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (forall ((B $$unsorted) (C $$unsorted)) (=> (and (tptp.r2_hidden B C) (tptp.r8_orders_1 A B) (tptp.r1_tarski C (tptp.k3_relat_1 A)) (tptp.v1_relat_2 A)) (tptp.r4_orders_1 A C))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (forall ((B $$unsorted) (C $$unsorted)) (=> (and (tptp.r2_hidden B C) (tptp.r9_orders_1 A B) (tptp.r1_tarski C (tptp.k3_relat_1 A)) (tptp.v1_relat_2 A)) (tptp.r5_orders_1 A C))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (forall ((B $$unsorted)) (= (tptp.r7_orders_1 A B) (tptp.r6_orders_1 (tptp.k4_relat_1 A) B))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (forall ((B $$unsorted)) (= (tptp.r7_orders_1 (tptp.k4_relat_1 A) B) (tptp.r6_orders_1 A B))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (forall ((B $$unsorted)) (= (tptp.r9_orders_1 A B) (tptp.r8_orders_1 (tptp.k4_relat_1 A) B))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (forall ((B $$unsorted)) (= (tptp.r9_orders_1 (tptp.k4_relat_1 A) B) (tptp.r8_orders_1 A B))))) true true true true true true (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (forall ((B $$unsorted)) (not (and (tptp.r2_orders_1 A B) (= (tptp.k3_relat_1 A) B) (tptp.r4_orders_1 A B) (forall ((C $$unsorted)) (not (tptp.r6_orders_1 A C)))))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (forall ((B $$unsorted)) (not (and (tptp.r2_orders_1 A B) (= (tptp.k3_relat_1 A) B) (tptp.r5_orders_1 A B) (forall ((C $$unsorted)) (not (tptp.r7_orders_1 A C)))))))) (forall ((A $$unsorted)) (not (and (not (= A tptp.k1_xboole_0)) (forall ((B $$unsorted)) (not (and (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 $$unsorted)) (not (and (not (= A tptp.k1_xboole_0)) (forall ((B $$unsorted)) (not (and (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 C D))))))))) (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 C B)))))))))) (forall ((A $$unsorted)) (not (and (not (= A tptp.k1_xboole_0)) (forall ((B $$unsorted)) (=> (and (tptp.r1_tarski B A) (tptp.v6_ordinal1 B)) (or (= B tptp.k1_xboole_0) (tptp.r2_hidden (tptp.k3_tarski B) A)))) (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 $$unsorted)) (not (and (not (= A tptp.k1_xboole_0)) (forall ((B $$unsorted)) (=> (and (tptp.r1_tarski B A) (tptp.v6_ordinal1 B)) (or (= B tptp.k1_xboole_0) (tptp.r2_hidden (tptp.k1_setfam_1 B) A)))) (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 C B)))))))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (forall ((B $$unsorted)) (not (and (tptp.r2_orders_1 A B) (= (tptp.k3_relat_1 A) B) (forall ((C $$unsorted)) (=> (tptp.v1_relat_1 C) (not (and (tptp.r1_tarski A C) (tptp.r3_orders_1 C B) (= (tptp.k3_relat_1 C) B)))))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k3_relat_1 A))) (=> (tptp.v1_relat_1 A) (tptp.r1_tarski A (tptp.k2_zfmisc_1 _let_1 _let_1))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_2 A) (tptp.r1_tarski B (tptp.k3_relat_1 A))) (= (tptp.k3_relat_1 (tptp.k2_wellord1 A B)) B))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (forall ((B $$unsorted)) (=> (tptp.r1_relat_2 A B) (tptp.v1_relat_2 (tptp.k2_wellord1 A B)))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (forall ((B $$unsorted)) (=> (tptp.r8_relat_2 A B) (tptp.v8_relat_2 (tptp.k2_wellord1 A B)))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (forall ((B $$unsorted)) (=> (tptp.r4_relat_2 A B) (tptp.v4_relat_2 (tptp.k2_wellord1 A B)))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (forall ((B $$unsorted)) (=> (tptp.r6_relat_2 A B) (tptp.v6_relat_2 (tptp.k2_wellord1 A B)))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (forall ((B $$unsorted) (C $$unsorted)) (=> (and (tptp.r6_relat_2 A B) (tptp.r1_tarski C B)) (tptp.r6_relat_2 A C))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (forall ((B $$unsorted) (C $$unsorted)) (=> (and (tptp.r2_wellord1 A B) (tptp.r1_tarski C B)) (tptp.r2_wellord1 A C))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (=> (tptp.v6_relat_2 A) (tptp.v6_relat_2 (tptp.k4_relat_1 A))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (forall ((B $$unsorted)) (=> (tptp.r1_relat_2 A B) (tptp.r1_relat_2 (tptp.k4_relat_1 A) B))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (forall ((B $$unsorted)) (=> (tptp.r8_relat_2 A B) (tptp.r8_relat_2 (tptp.k4_relat_1 A) B))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (forall ((B $$unsorted)) (=> (tptp.r4_relat_2 A B) (tptp.r4_relat_2 (tptp.k4_relat_1 A) B))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (forall ((B $$unsorted)) (=> (tptp.r6_relat_2 A B) (tptp.r6_relat_2 (tptp.k4_relat_1 A) B))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (forall ((B $$unsorted)) (= (tptp.k4_relat_1 (tptp.k2_wellord1 A B)) (tptp.k2_wellord1 (tptp.k4_relat_1 A) B))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (= (tptp.k2_wellord1 A tptp.k1_xboole_0) tptp.k1_xboole_0))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted)) (not (and (tptp.v1_finset_1 B) (tptp.r1_tarski B (tptp.k2_relat_1 A)) (forall ((C $$unsorted)) (not (and (tptp.r1_tarski C (tptp.k1_relat_1 A)) (tptp.v1_finset_1 C) (= (tptp.k9_relat_1 A C) B))))))))) (=> (and (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.f1_s1_orders_1) (tptp.p1_s1_orders_1 A A))) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.f1_s1_orders_1) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.f1_s1_orders_1) (=> (and (tptp.p1_s1_orders_1 A B) (tptp.p1_s1_orders_1 B A)) (= A B)))))) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.f1_s1_orders_1) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.f1_s1_orders_1) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C tptp.f1_s1_orders_1) (=> (and (tptp.p1_s1_orders_1 A B) (tptp.p1_s1_orders_1 B C)) (tptp.p1_s1_orders_1 A C)))))))) (forall ((A $$unsorted)) (not (and (tptp.r1_tarski A tptp.f1_s1_orders_1) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.f1_s1_orders_1) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C tptp.f1_s1_orders_1) (not (and (tptp.r2_hidden B A) (tptp.r2_hidden C A) (not (tptp.p1_s1_orders_1 B C)) (not (tptp.p1_s1_orders_1 C B)))))))) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.f1_s1_orders_1) (exists ((C $$unsorted)) (and (tptp.m1_subset_1 C tptp.f1_s1_orders_1) (tptp.r2_hidden C A) (not (tptp.p1_s1_orders_1 C B)))))))))) (exists ((A $$unsorted)) (and (tptp.m1_subset_1 A tptp.f1_s1_orders_1) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.f1_s1_orders_1) (not (and (not (= A B)) (tptp.p1_s1_orders_1 A B)))))))) (=> (and (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.f1_s2_orders_1) (tptp.p1_s2_orders_1 A A))) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.f1_s2_orders_1) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.f1_s2_orders_1) (=> (and (tptp.p1_s2_orders_1 A B) (tptp.p1_s2_orders_1 B A)) (= A B)))))) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.f1_s2_orders_1) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.f1_s2_orders_1) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C tptp.f1_s2_orders_1) (=> (and (tptp.p1_s2_orders_1 A B) (tptp.p1_s2_orders_1 B C)) (tptp.p1_s2_orders_1 A C)))))))) (forall ((A $$unsorted)) (not (and (tptp.r1_tarski A tptp.f1_s2_orders_1) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.f1_s2_orders_1) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C tptp.f1_s2_orders_1) (not (and (tptp.r2_hidden B A) (tptp.r2_hidden C A) (not (tptp.p1_s2_orders_1 B C)) (not (tptp.p1_s2_orders_1 C B)))))))) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.f1_s2_orders_1) (exists ((C $$unsorted)) (and (tptp.m1_subset_1 C tptp.f1_s2_orders_1) (tptp.r2_hidden C A) (not (tptp.p1_s2_orders_1 B C)))))))))) (exists ((A $$unsorted)) (and (tptp.m1_subset_1 A tptp.f1_s2_orders_1) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.f1_s2_orders_1) (not (and (not (= A B)) (tptp.p1_s2_orders_1 B A)))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k3_tarski A))) (=> (tptp.m1_orders_1 B A) (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B A _let_1) (tptp.m2_relset_1 B A _let_1))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (exists ((B $$unsorted)) (tptp.m1_orders_1 B A)))) true (forall ((A $$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 $$unsorted)) (let ((_let_1 (tptp.k7_eqrel_1 A B))) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v3_relat_2 B) (tptp.v8_relat_2 B) (tptp.v1_partfun1 B A A) (tptp.m1_relset_1 B A A)) (and (not (tptp.v1_xboole_0 _let_1)) (tptp.v1_setfam_1 _let_1))))) (forall ((A $$unsorted)) (= (tptp.k1_eqrel_1 A) (tptp.k2_zfmisc_1 A A))) 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)) (exists ((B $$unsorted)) (and (tptp.m1_finseq_2 B A) (not (tptp.v1_xboole_0 B))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v4_ordinal2 A) (not (tptp.v1_xboole_0 B))) (not (tptp.v1_xboole_0 (tptp.k4_finseq_2 A B))))) (forall ((A $$unsorted)) (=> (tptp.m2_subset_1 A tptp.k1_numbers tptp.k5_numbers) (forall ((B $$unsorted)) (=> (tptp.m2_subset_1 B tptp.k1_numbers tptp.k5_numbers) (and (tptp.m2_subset_1 (tptp.k3_square_1 A B) tptp.k1_numbers tptp.k5_numbers) (tptp.m2_subset_1 (tptp.k4_square_1 A B) tptp.k1_numbers tptp.k5_numbers)))))) (forall ((A $$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) (=> (= A (tptp.k3_square_1 B C)) (= (tptp.k5_subset_1 tptp.k5_numbers (tptp.k2_finseq_1 B) (tptp.k2_finseq_1 C)) (tptp.k2_finseq_1 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_numbers tptp.k5_numbers) (=> (tptp.r1_xreal_0 A B) (= (tptp.k2_square_1 tptp.np__0 (tptp.k6_xcmplx_0 A B)) tptp.np__0)))))) (forall ((A $$unsorted)) (=> (tptp.m2_subset_1 A tptp.k1_numbers tptp.k5_numbers) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k6_xcmplx_0 B A))) (=> (tptp.m2_subset_1 B tptp.k1_numbers tptp.k5_numbers) (=> (tptp.r1_xreal_0 A B) (= (tptp.k2_square_1 tptp.np__0 _let_1) _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) (tptp.m2_subset_1 (tptp.k2_square_1 tptp.np__0 (tptp.k6_xcmplx_0 A B)) tptp.k1_numbers tptp.k5_numbers))))) (forall ((A $$unsorted)) (=> (tptp.m2_subset_1 A tptp.k1_numbers tptp.k5_numbers) (and (= (tptp.k3_square_1 tptp.np__0 A) tptp.np__0) (= (tptp.k3_square_1 A tptp.np__0) tptp.np__0) (= (tptp.k4_square_1 tptp.np__0 A) A) (= (tptp.k4_square_1 A tptp.np__0) A)))) true (forall ((A $$unsorted)) (=> (tptp.m2_subset_1 A tptp.k1_numbers tptp.k5_numbers) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k1_nat_1 B tptp.np__1))) (=> (tptp.m2_subset_1 B tptp.k1_numbers tptp.k5_numbers) (not (and (tptp.r2_hidden A (tptp.k2_finseq_1 _let_1)) (not (tptp.r2_hidden A (tptp.k2_finseq_1 B))) (not (= A _let_1))))))))) (forall ((A $$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) (=> (tptp.r2_hidden A (tptp.k2_finseq_1 B)) (tptp.r2_hidden A (tptp.k2_finseq_1 (tptp.k1_nat_1 B C)))))))))) (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 $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C) (tptp.v1_finseq_1 C)) (=> (and (= (tptp.k3_finseq_1 B) A) (= (tptp.k3_finseq_1 C) A) (forall ((D $$unsorted)) (=> (tptp.m2_subset_1 D tptp.k1_numbers tptp.k5_numbers) (=> (tptp.r2_hidden D (tptp.k2_finseq_1 A)) (= (tptp.k1_funct_1 B D) (tptp.k1_funct_1 C D)))))) (= B C)))))))) (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 (tptp.k2_relat_1 B)) (forall ((C $$unsorted)) (=> (tptp.m2_subset_1 C tptp.k1_numbers tptp.k5_numbers) (not (and (tptp.r2_hidden C (tptp.k4_finseq_1 B)) (= (tptp.k1_funct_1 B C) A))))))))) true (forall ((A $$unsorted)) (=> (tptp.m2_subset_1 A tptp.k1_numbers tptp.k5_numbers) (forall ((B $$unsorted) (C $$unsorted)) (=> (tptp.m2_finseq_1 C B) (=> (tptp.r2_hidden A (tptp.k4_finseq_1 C)) (tptp.r2_hidden (tptp.k1_funct_1 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)) (=> (forall ((C $$unsorted)) (=> (tptp.m2_subset_1 C tptp.k1_numbers tptp.k5_numbers) (=> (tptp.r2_hidden C (tptp.k4_finseq_1 A)) (tptp.r2_hidden (tptp.k1_funct_1 A C) B)))) (tptp.m2_finseq_1 A B))))) (forall ((A $$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) (tptp.m2_finseq_1 (tptp.k10_finseq_1 B C) A))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C A) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D A) (tptp.m2_finseq_1 (tptp.k11_finseq_1 B C D) A))))))))) true (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 $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C) (tptp.v1_finseq_1 C)) (=> (tptp.r2_hidden A (tptp.k4_finseq_1 B)) (tptp.r2_hidden A (tptp.k4_finseq_1 (tptp.k7_finseq_1 B C)))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (tptp.v1_finseq_1 B)) (= (tptp.k3_finseq_1 (tptp.k7_finseq_1 B (tptp.k9_finseq_1 A))) (tptp.k1_nat_1 (tptp.k3_finseq_1 B) tptp.np__1)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C) (tptp.v1_finseq_1 C)) (forall ((D $$unsorted)) (=> (and (tptp.v1_relat_1 D) (tptp.v1_funct_1 D) (tptp.v1_finseq_1 D)) (=> (= (tptp.k7_finseq_1 C (tptp.k9_finseq_1 A)) (tptp.k7_finseq_1 D (tptp.k9_finseq_1 B))) (and (= C D) (= A B))))))) (forall ((A $$unsorted)) (=> (tptp.m2_subset_1 A tptp.k1_numbers tptp.k5_numbers) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (tptp.v1_finseq_1 B)) (not (and (= (tptp.k3_finseq_1 B) (tptp.k1_nat_1 A tptp.np__1)) (forall ((C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C) (tptp.v1_finseq_1 C)) (forall ((D $$unsorted)) (not (= B (tptp.k7_finseq_1 C (tptp.k9_finseq_1 D))))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (tptp.m2_finseq_1 B A) (not (and (not (= (tptp.k3_finseq_1 B) tptp.np__0)) (forall ((C $$unsorted)) (=> (tptp.m2_finseq_1 C A) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D A) (not (= B (tptp.k8_finseq_1 A C (tptp.k12_finseq_1 A D)))))))))))))) (forall ((A $$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)) (=> (and (= B (tptp.k7_relat_1 C (tptp.k2_finseq_1 A))) (tptp.r1_xreal_0 (tptp.k3_finseq_1 C) A)) (= 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 $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C) (tptp.v1_finseq_1 C)) (=> (= B (tptp.k7_relat_1 C (tptp.k2_finseq_1 A))) (= (tptp.k3_finseq_1 B) (tptp.k3_square_1 A (tptp.k3_finseq_1 C)))))))))) (forall ((A $$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 (tptp.v1_relat_1 C) (tptp.v1_funct_1 C) (tptp.v1_finseq_1 C)) (not (and (= (tptp.k3_finseq_1 C) (tptp.k1_nat_1 A B)) (forall ((D $$unsorted)) (=> (and (tptp.v1_relat_1 D) (tptp.v1_funct_1 D) (tptp.v1_finseq_1 D)) (forall ((E $$unsorted)) (=> (and (tptp.v1_relat_1 E) (tptp.v1_funct_1 E) (tptp.v1_finseq_1 E)) (not (and (= (tptp.k3_finseq_1 D) A) (= (tptp.k3_finseq_1 E) B) (= C (tptp.k7_finseq_1 D E)))))))))))))))) (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 $$unsorted)) (=> (not (tptp.v1_xboole_0 C)) (forall ((D $$unsorted)) (=> (tptp.m2_finseq_1 D C) (not (and (= (tptp.k3_finseq_1 D) (tptp.k1_nat_1 A B)) (forall ((E $$unsorted)) (=> (tptp.m2_finseq_1 E C) (forall ((F $$unsorted)) (=> (tptp.m2_finseq_1 F C) (not (and (= (tptp.k3_finseq_1 E) A) (= (tptp.k3_finseq_1 F) B) (= D (tptp.k8_finseq_1 C E F)))))))))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A))) (forall ((C $$unsorted)) (=> (tptp.m2_finseq_1 C B) (tptp.m2_finseq_1 C A))))))) (forall ((A $$unsorted)) (=> (tptp.m2_subset_1 A tptp.k1_numbers tptp.k5_numbers) (forall ((B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k2_finseq_1 A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_1 B) (tptp.m2_relset_1 C _let_1 B)) (tptp.m2_finseq_1 C B)))))))) true (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k4_finseq_1 B))) (=> (tptp.m2_finseq_1 B A) (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_1 A) (tptp.m2_relset_1 B _let_1 A))))))) (forall ((A $$unsorted)) (=> (tptp.m2_subset_1 A tptp.k1_numbers tptp.k5_numbers) (forall ((B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C tptp.k5_numbers B) (tptp.m2_relset_1 C tptp.k5_numbers B)) (tptp.m2_finseq_1 (tptp.k2_partfun1 tptp.k5_numbers B C (tptp.k2_finseq_1 A)) B))))))) (forall ((A $$unsorted)) (=> (tptp.m2_subset_1 A tptp.k1_numbers tptp.k5_numbers) (forall ((B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C) (tptp.v1_finseq_1 C)) (forall ((D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D tptp.k5_numbers B) (tptp.m2_relset_1 D tptp.k5_numbers B)) (=> (= C (tptp.k2_partfun1 tptp.k5_numbers B D (tptp.k2_finseq_1 A))) (= (tptp.k3_finseq_1 C) A)))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_finseq_1 A)) (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)) (=> (and (tptp.r1_tarski (tptp.k2_relat_1 A) (tptp.k1_relat_1 C)) (= B (tptp.k5_relat_1 A C))) (= (tptp.k3_finseq_1 B) (tptp.k3_finseq_1 A))))))))) (forall ((A $$unsorted)) (=> (tptp.m2_subset_1 A tptp.k1_numbers tptp.k5_numbers) (forall ((B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (=> (= B (tptp.k2_finseq_1 A)) (forall ((C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C) (tptp.v1_finseq_1 C)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k5_relat_1 D C))) (=> (tptp.m2_finseq_1 D B) (=> (tptp.r1_xreal_0 A (tptp.k3_finseq_1 C)) (and (tptp.v1_relat_1 _let_1) (tptp.v1_funct_1 _let_1) (tptp.v1_finseq_1 _let_1))))))))))))) (forall ((A $$unsorted)) (=> (tptp.m2_subset_1 A tptp.k1_numbers tptp.k5_numbers) (forall ((B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (=> (not (tptp.v1_xboole_0 C)) (=> (= B (tptp.k2_finseq_1 A)) (forall ((D $$unsorted)) (=> (tptp.m2_finseq_1 D C) (forall ((E $$unsorted)) (=> (tptp.m2_finseq_1 E B) (=> (tptp.r1_xreal_0 A (tptp.k3_finseq_1 D)) (tptp.m2_finseq_1 (tptp.k1_partfun1 tptp.k5_numbers B tptp.k5_numbers C E D) C))))))))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.m2_finseq_1 C A) (forall ((D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D A B) (tptp.m2_relset_1 D A B)) (tptp.m2_finseq_1 (tptp.k1_partfun1 tptp.k5_numbers A A B C D) B))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C) (tptp.v1_finseq_1 C)) (forall ((D $$unsorted)) (=> (tptp.m2_finseq_1 D A) (forall ((E $$unsorted)) (=> (and (tptp.v1_funct_1 E) (tptp.v1_funct_2 E A B) (tptp.m2_relset_1 E A B)) (=> (= C (tptp.k1_partfun1 tptp.k5_numbers A A B D E)) (= (tptp.k3_finseq_1 C) (tptp.k3_finseq_1 D))))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C A B) (tptp.m2_relset_1 C A B)) (= (tptp.k1_partfun1 tptp.k5_numbers A A B (tptp.k6_finseq_1 A) C) (tptp.k6_finseq_1 B)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (=> (not (tptp.v1_xboole_0 C)) (forall ((D $$unsorted)) (=> (tptp.m2_finseq_1 D B) (forall ((E $$unsorted)) (=> (and (tptp.v1_funct_1 E) (tptp.v1_funct_2 E B C) (tptp.m2_relset_1 E B C)) (=> (= D (tptp.k9_finseq_1 A)) (= (tptp.k1_partfun1 tptp.k5_numbers B B C D E) (tptp.k9_finseq_1 (tptp.k1_funct_1 E A)))))))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (not (tptp.v1_xboole_0 C)) (forall ((D $$unsorted)) (=> (not (tptp.v1_xboole_0 D)) (forall ((E $$unsorted)) (=> (tptp.m2_finseq_1 E C) (forall ((F $$unsorted)) (=> (and (tptp.v1_funct_1 F) (tptp.v1_funct_2 F C D) (tptp.m2_relset_1 F C D)) (=> (= E (tptp.k10_finseq_1 A B)) (= (tptp.k1_partfun1 tptp.k5_numbers C C D E F) (tptp.k10_finseq_1 (tptp.k1_funct_1 F A) (tptp.k1_funct_1 F B)))))))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (not (tptp.v1_xboole_0 D)) (forall ((E $$unsorted)) (=> (not (tptp.v1_xboole_0 E)) (forall ((F $$unsorted)) (=> (tptp.m2_finseq_1 F D) (forall ((G $$unsorted)) (=> (and (tptp.v1_funct_1 G) (tptp.v1_funct_2 G D E) (tptp.m2_relset_1 G D E)) (=> (= F (tptp.k11_finseq_1 A B C)) (= (tptp.k1_partfun1 tptp.k5_numbers D D E F G) (tptp.k11_finseq_1 (tptp.k1_funct_1 G A) (tptp.k1_funct_1 G B) (tptp.k1_funct_1 G C)))))))))))) (forall ((A $$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 (tptp.v1_relat_1 C) (tptp.v1_funct_1 C) (tptp.v1_finseq_1 C)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k5_relat_1 D C))) (let ((_let_2 (tptp.k2_finseq_1 B))) (let ((_let_3 (tptp.k2_finseq_1 A))) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D _let_3 _let_2) (tptp.m2_relset_1 D _let_3 _let_2)) (=> (tptp.r1_xreal_0 B (tptp.k3_finseq_1 C)) (or (and (= B tptp.np__0) (not (= A tptp.np__0))) (and (tptp.v1_relat_1 _let_1) (tptp.v1_funct_1 _let_1) (tptp.v1_finseq_1 _let_1))))))))))))))) (forall ((A $$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)) (let ((_let_1 (tptp.k5_relat_1 C B))) (let ((_let_2 (tptp.k2_finseq_1 A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_2) (tptp.m2_relset_1 C _let_2 _let_2)) (=> (tptp.r1_xreal_0 A (tptp.k3_finseq_1 B)) (and (tptp.v1_relat_1 _let_1) (tptp.v1_funct_1 _let_1) (tptp.v1_finseq_1 _let_1))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_finseq_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k5_relat_1 B A))) (let ((_let_2 (tptp.k4_finseq_1 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)) (and (tptp.v1_relat_1 _let_1) (tptp.v1_funct_1 _let_1) (tptp.v1_finseq_1 _let_1)))))))) (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 $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C) (tptp.v1_finseq_1 C)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k2_finseq_1 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)) (=> (and (= (tptp.k2_relat_1 D) _let_1) (tptp.r1_xreal_0 A (tptp.k3_finseq_1 B)) (= C (tptp.k5_relat_1 D B))) (= (tptp.k3_finseq_1 C) A))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_finseq_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (tptp.v1_finseq_1 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k4_finseq_1 A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_1 _let_1) (tptp.m2_relset_1 C _let_1 _let_1)) (=> (and (= (tptp.k2_relat_1 C) _let_1) (= B (tptp.k5_relat_1 C A))) (= (tptp.k3_finseq_1 B) (tptp.k3_finseq_1 A)))))))))) (forall ((A $$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)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k2_finseq_1 A))) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D _let_1 _let_1) (tptp.v3_funct_2 D _let_1 _let_1) (tptp.m2_relset_1 D _let_1 _let_1)) (=> (and (tptp.r1_xreal_0 A (tptp.k3_finseq_1 B)) (= C (tptp.k5_relat_1 D B))) (= (tptp.k3_finseq_1 C) A))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_finseq_1 A)) (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.k4_finseq_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)) (=> (= B (tptp.k5_relat_1 C A)) (= (tptp.k3_finseq_1 B) (tptp.k3_finseq_1 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_numbers tptp.k5_numbers) (forall ((C $$unsorted)) (=> (not (tptp.v1_xboole_0 C)) (forall ((D $$unsorted)) (=> (tptp.m2_finseq_1 D C) (forall ((E $$unsorted)) (let ((_let_1 (tptp.k2_finseq_1 B))) (let ((_let_2 (tptp.k2_finseq_1 A))) (=> (and (tptp.v1_funct_1 E) (tptp.v1_funct_2 E _let_2 _let_1) (tptp.m2_relset_1 E _let_2 _let_1)) (=> (tptp.r1_xreal_0 B (tptp.k3_finseq_1 D)) (or (and (= B tptp.np__0) (not (= A tptp.np__0))) (tptp.m2_finseq_1 (tptp.k1_partfun1 _let_2 _let_1 tptp.k5_numbers C E D) C))))))))))))))) (forall ((A $$unsorted)) (=> (tptp.m2_subset_1 A tptp.k1_numbers tptp.k5_numbers) (forall ((B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (=> (tptp.m2_finseq_1 C B) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k2_finseq_1 A))) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D _let_1 _let_1) (tptp.m2_relset_1 D _let_1 _let_1)) (=> (tptp.r1_xreal_0 A (tptp.k3_finseq_1 C)) (tptp.m2_finseq_1 (tptp.k1_partfun1 _let_1 _let_1 tptp.k5_numbers B D C) B))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (tptp.m2_finseq_1 B A) (forall ((C $$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.m2_relset_1 C _let_1 _let_1)) (tptp.m2_finseq_1 (tptp.k1_partfun1 _let_1 _let_1 tptp.k5_numbers A C B) A)))))))) (forall ((A $$unsorted)) (=> (tptp.v4_ordinal2 A) (tptp.m2_finseq_1 (tptp.k6_partfun1 (tptp.k2_finseq_1 A)) tptp.k5_numbers))) (forall ((A $$unsorted)) (=> (tptp.v4_ordinal2 A) (= (tptp.k1_finseq_2 A) (tptp.k6_partfun1 (tptp.k2_finseq_1 A))))) true (forall ((A $$unsorted)) (=> (tptp.v4_ordinal2 A) (= (tptp.k4_finseq_1 (tptp.k1_finseq_2 A)) (tptp.k2_finseq_1 A)))) (forall ((A $$unsorted)) (=> (tptp.v4_ordinal2 A) (= (tptp.k3_finseq_1 (tptp.k1_finseq_2 A)) 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_numbers tptp.k5_numbers) (=> (tptp.r2_hidden A (tptp.k2_finseq_1 B)) (= (tptp.k1_funct_1 (tptp.k1_finseq_2 B) A) A)))))) (forall ((A $$unsorted)) (=> (tptp.m2_subset_1 A tptp.k1_numbers tptp.k5_numbers) (=> (not (= A tptp.np__0)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k2_finseq_1 A)) (= (tptp.k1_funct_1 (tptp.k1_finseq_2 A) B) B)))))) (= (tptp.k1_finseq_2 tptp.np__0) tptp.k1_xboole_0) (= (tptp.k1_finseq_2 tptp.np__1) (tptp.k12_finseq_1 tptp.k5_numbers tptp.np__1)) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k1_nat_1 A tptp.np__1))) (=> (tptp.m2_subset_1 A tptp.k1_numbers tptp.k5_numbers) (= (tptp.k1_finseq_2 _let_1) (tptp.k7_finseq_1 (tptp.k1_finseq_2 A) (tptp.k12_finseq_1 tptp.k5_numbers _let_1)))))) (= (tptp.k1_finseq_2 tptp.np__2) (tptp.k10_finseq_1 tptp.np__1 tptp.np__2)) (= (tptp.k1_finseq_2 tptp.np__3) (tptp.k11_finseq_1 tptp.np__1 tptp.np__2 tptp.np__3)) (forall ((A $$unsorted)) (=> (tptp.v4_ordinal2 A) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (tptp.v1_finseq_1 B)) (= (tptp.k5_relat_1 (tptp.k1_finseq_2 A) B) (tptp.k7_relat_1 B (tptp.k2_finseq_1 A))))))) (forall ((A $$unsorted)) (=> (tptp.v4_ordinal2 A) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (tptp.v1_finseq_1 B)) (=> (tptp.r1_xreal_0 (tptp.k3_finseq_1 B) A) (= (tptp.k5_relat_1 (tptp.k1_finseq_2 A) B) B)))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k2_finseq_1 A))) (let ((_let_2 (tptp.k1_finseq_2 A))) (=> (tptp.v4_ordinal2 A) (and (tptp.v1_funct_1 _let_2) (tptp.v1_funct_2 _let_2 _let_1 _let_1) (tptp.v3_funct_2 _let_2 _let_1 _let_1) (tptp.m2_relset_1 _let_2 _let_1 _let_1)))))) (forall ((A $$unsorted)) (=> (tptp.v4_ordinal2 A) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k2_funcop_1 (tptp.k2_finseq_1 A) B))) (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)) (= (tptp.k2_finseq_2 A B) (tptp.k2_funcop_1 (tptp.k2_finseq_1 A) B))))) true (forall ((A $$unsorted)) (=> (tptp.v4_ordinal2 A) (forall ((B $$unsorted)) (= (tptp.k4_finseq_1 (tptp.k2_finseq_2 A B)) (tptp.k2_finseq_1 A))))) (forall ((A $$unsorted)) (=> (tptp.v4_ordinal2 A) (forall ((B $$unsorted)) (= (tptp.k3_finseq_1 (tptp.k2_finseq_2 A B)) A)))) (forall ((A $$unsorted)) (=> (tptp.v4_ordinal2 A) (forall ((B $$unsorted) (C $$unsorted)) (=> (tptp.r2_hidden B (tptp.k2_finseq_1 A)) (= (tptp.k1_funct_1 (tptp.k2_finseq_2 A C) B) C))))) (forall ((A $$unsorted)) (=> (tptp.v4_ordinal2 A) (forall ((B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C B) (=> (not (= A tptp.np__0)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k2_finseq_1 A)) (= (tptp.k1_funct_1 (tptp.k2_finseq_2 A C) D) C)))))))))) (forall ((A $$unsorted)) (= (tptp.k2_finseq_2 tptp.np__0 A) tptp.k1_xboole_0)) (forall ((A $$unsorted)) (= (tptp.k2_finseq_2 tptp.np__1 A) (tptp.k9_finseq_1 A))) (forall ((A $$unsorted)) (=> (tptp.m2_subset_1 A tptp.k1_numbers tptp.k5_numbers) (forall ((B $$unsorted)) (= (tptp.k2_finseq_2 (tptp.k1_nat_1 A tptp.np__1) B) (tptp.k7_finseq_1 (tptp.k2_finseq_2 A B) (tptp.k9_finseq_1 B)))))) (forall ((A $$unsorted)) (= (tptp.k2_finseq_2 tptp.np__2 A) (tptp.k10_finseq_1 A A))) (forall ((A $$unsorted)) (= (tptp.k2_finseq_2 tptp.np__3 A) (tptp.k11_finseq_1 A A A))) (forall ((A $$unsorted)) (=> (tptp.v4_ordinal2 A) (forall ((B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C B) (tptp.m2_finseq_1 (tptp.k2_finseq_2 A 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)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k3_funcop_1 C A B))) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (=> (tptp.r1_tarski (tptp.k2_zfmisc_1 (tptp.k2_relat_1 A) (tptp.k2_relat_1 B)) (tptp.k1_relat_1 C)) (and (tptp.v1_relat_1 _let_1) (tptp.v1_funct_1 _let_1) (tptp.v1_finseq_1 _let_1)))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (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 $$unsorted)) (=> (and (tptp.v1_relat_1 D) (tptp.v1_funct_1 D)) (=> (and (tptp.r1_tarski (tptp.k2_zfmisc_1 (tptp.k2_relat_1 A) (tptp.k2_relat_1 B)) (tptp.k1_relat_1 D)) (= C (tptp.k3_funcop_1 D A B))) (= (tptp.k3_finseq_1 C) (tptp.k3_square_1 (tptp.k3_finseq_1 A) (tptp.k3_finseq_1 B)))))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (tptp.v1_finseq_1 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k5_funcop_1 C A B))) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (=> (tptp.r1_tarski (tptp.k2_zfmisc_1 (tptp.k1_tarski A) (tptp.k2_relat_1 B)) (tptp.k1_relat_1 C)) (and (tptp.v1_relat_1 _let_1) (tptp.v1_funct_1 _let_1) (tptp.v1_finseq_1 _let_1)))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (tptp.v1_finseq_1 B)) (forall ((C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C) (tptp.v1_finseq_1 C)) (forall ((D $$unsorted)) (=> (and (tptp.v1_relat_1 D) (tptp.v1_funct_1 D)) (=> (and (tptp.r1_tarski (tptp.k2_zfmisc_1 (tptp.k1_tarski A) (tptp.k2_relat_1 B)) (tptp.k1_relat_1 D)) (= C (tptp.k5_funcop_1 D A B))) (= (tptp.k3_finseq_1 C) (tptp.k3_finseq_1 B))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (tptp.v1_finseq_1 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k4_funcop_1 C B A))) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (=> (tptp.r1_tarski (tptp.k2_zfmisc_1 (tptp.k2_relat_1 B) (tptp.k1_tarski A)) (tptp.k1_relat_1 C)) (and (tptp.v1_relat_1 _let_1) (tptp.v1_funct_1 _let_1) (tptp.v1_finseq_1 _let_1)))))))) (forall ((A $$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)) (forall ((D $$unsorted)) (=> (and (tptp.v1_relat_1 D) (tptp.v1_funct_1 D)) (=> (and (tptp.r1_tarski (tptp.k2_zfmisc_1 (tptp.k2_relat_1 B) (tptp.k1_tarski A)) (tptp.k1_relat_1 D)) (= C (tptp.k4_funcop_1 D B A))) (= (tptp.k3_finseq_1 C) (tptp.k3_finseq_1 B))))))))) (forall ((A $$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 $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A B))) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D _let_1 C) (tptp.m2_relset_1 D _let_1 C)) (forall ((E $$unsorted)) (=> (tptp.m2_finseq_1 E A) (forall ((F $$unsorted)) (=> (tptp.m2_finseq_1 F B) (tptp.m2_finseq_1 (tptp.k3_funcop_1 D E F) C)))))))))))))) (forall ((A $$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 $$unsorted)) (=> (and (tptp.v1_relat_1 D) (tptp.v1_funct_1 D) (tptp.v1_finseq_1 D)) (forall ((E $$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 $$unsorted)) (=> (tptp.m2_finseq_1 F A) (forall ((G $$unsorted)) (=> (tptp.m2_finseq_1 G B) (=> (= D (tptp.k3_funcop_1 E F G)) (= (tptp.k3_finseq_1 D) (tptp.k3_square_1 (tptp.k3_finseq_1 F) (tptp.k3_finseq_1 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)) (=> (and (tptp.v1_relat_1 D) (tptp.v1_funct_1 D) (tptp.v1_finseq_1 D)) (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.m2_finseq_1 F A) (forall ((G $$unsorted)) (let ((_let_1 (tptp.k3_finseq_1 G))) (let ((_let_2 (tptp.k3_finseq_1 D))) (let ((_let_3 (tptp.k3_finseq_1 F))) (=> (tptp.m2_finseq_1 G B) (=> (and (= _let_3 _let_1) (= D (tptp.k3_funcop_1 E F G))) (and (= _let_2 _let_3) (= _let_2 _let_1))))))))))))))))))))) (forall ((A $$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 $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A B))) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D _let_1 C) (tptp.m2_relset_1 D _let_1 C)) (forall ((E $$unsorted)) (=> (tptp.m2_finseq_1 E A) (forall ((F $$unsorted)) (let ((_let_1 (tptp.k6_finseq_1 C))) (=> (tptp.m2_finseq_1 F B) (and (= (tptp.k3_funcop_1 D (tptp.k6_finseq_1 A) F) _let_1) (= (tptp.k3_funcop_1 D E (tptp.k6_finseq_1 B)) _let_1)))))))))))))))) (forall ((A $$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 $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A B))) (=> (and (tptp.v1_funct_1 F) (tptp.v1_funct_2 F _let_1 C) (tptp.m2_relset_1 F _let_1 C)) (forall ((G $$unsorted)) (=> (tptp.m2_finseq_1 G A) (forall ((H $$unsorted)) (=> (tptp.m2_finseq_1 H B) (=> (and (= G (tptp.k12_finseq_1 A D)) (= H (tptp.k12_finseq_1 B E))) (= (tptp.k3_funcop_1 F G H) (tptp.k12_finseq_1 C (tptp.k2_binop_1 A B C F D E))))))))))))))))))))) (forall ((A $$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 A) (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F B) (forall ((G $$unsorted)) (=> (tptp.m1_subset_1 G B) (forall ((H $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A B))) (=> (and (tptp.v1_funct_1 H) (tptp.v1_funct_2 H _let_1 C) (tptp.m2_relset_1 H _let_1 C)) (forall ((I $$unsorted)) (=> (tptp.m2_finseq_1 I A) (forall ((J $$unsorted)) (=> (tptp.m2_finseq_1 J B) (=> (and (= I (tptp.k10_finseq_1 D E)) (= J (tptp.k10_finseq_1 F G))) (= (tptp.k3_funcop_1 H I J) (tptp.k10_finseq_1 (tptp.k2_binop_1 A B C H D F) (tptp.k2_binop_1 A B C H E G))))))))))))))))))))))))) (forall ((A $$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 $$unsorted)) (=> (tptp.m1_subset_1 D A) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E A) (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F A) (forall ((G $$unsorted)) (=> (tptp.m1_subset_1 G B) (forall ((H $$unsorted)) (=> (tptp.m1_subset_1 H B) (forall ((I $$unsorted)) (=> (tptp.m1_subset_1 I B) (forall ((J $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A B))) (=> (and (tptp.v1_funct_1 J) (tptp.v1_funct_2 J _let_1 C) (tptp.m2_relset_1 J _let_1 C)) (forall ((K $$unsorted)) (=> (tptp.m2_finseq_1 K A) (forall ((L $$unsorted)) (=> (tptp.m2_finseq_1 L B) (=> (and (= K (tptp.k11_finseq_1 D E F)) (= L (tptp.k11_finseq_1 G H I))) (= (tptp.k3_funcop_1 J K L) (tptp.k11_finseq_1 (tptp.k2_binop_1 A B C J D G) (tptp.k2_binop_1 A B C J E H) (tptp.k2_binop_1 A B C J F I))))))))))))))))))))))))))))) (forall ((A $$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)) (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 $$unsorted)) (=> (tptp.m2_finseq_1 F B) (tptp.m2_finseq_1 (tptp.k5_funcop_1 E D F) C)))))))))))))) (forall ((A $$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 $$unsorted)) (=> (tptp.m1_subset_1 D A) (forall ((E $$unsorted)) (=> (and (tptp.v1_relat_1 E) (tptp.v1_funct_1 E) (tptp.v1_finseq_1 E)) (forall ((F $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A B))) (=> (and (tptp.v1_funct_1 F) (tptp.v1_funct_2 F _let_1 C) (tptp.m2_relset_1 F _let_1 C)) (forall ((G $$unsorted)) (=> (tptp.m2_finseq_1 G B) (=> (= E (tptp.k5_funcop_1 F D G)) (= (tptp.k3_finseq_1 E) (tptp.k3_finseq_1 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)) (=> (tptp.m1_subset_1 D A) (forall ((E $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A B))) (=> (and (tptp.v1_funct_1 E) (tptp.v1_funct_2 E _let_1 C) (tptp.m2_relset_1 E _let_1 C)) (= (tptp.k5_funcop_1 E D (tptp.k6_finseq_1 B)) (tptp.k6_finseq_1 C))))))))))))) (forall ((A $$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 $$unsorted)) (=> (tptp.m1_subset_1 D A) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E B) (forall ((F $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A B))) (=> (and (tptp.v1_funct_1 F) (tptp.v1_funct_2 F _let_1 C) (tptp.m2_relset_1 F _let_1 C)) (forall ((G $$unsorted)) (=> (tptp.m2_finseq_1 G B) (=> (= G (tptp.k12_finseq_1 B E)) (= (tptp.k5_funcop_1 F D G) (tptp.k12_finseq_1 C (tptp.k2_binop_1 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)) (=> (tptp.m1_subset_1 F B) (forall ((G $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A B))) (=> (and (tptp.v1_funct_1 G) (tptp.v1_funct_2 G _let_1 C) (tptp.m2_relset_1 G _let_1 C)) (forall ((H $$unsorted)) (=> (tptp.m2_finseq_1 H B) (=> (= H (tptp.k10_finseq_1 E F)) (= (tptp.k5_funcop_1 G D H) (tptp.k10_finseq_1 (tptp.k2_binop_1 A B C G D E) (tptp.k2_binop_1 A B C G D 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)) (=> (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 $$unsorted)) (=> (tptp.m1_subset_1 G B) (forall ((H $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A B))) (=> (and (tptp.v1_funct_1 H) (tptp.v1_funct_2 H _let_1 C) (tptp.m2_relset_1 H _let_1 C)) (forall ((I $$unsorted)) (=> (tptp.m2_finseq_1 I B) (=> (= I (tptp.k11_finseq_1 E F G)) (= (tptp.k5_funcop_1 H D I) (tptp.k11_finseq_1 (tptp.k2_binop_1 A B C H D E) (tptp.k2_binop_1 A B C H D F) (tptp.k2_binop_1 A B C H D G))))))))))))))))))))))) (forall ((A $$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 $$unsorted)) (=> (tptp.m1_subset_1 D B) (forall ((E $$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 $$unsorted)) (=> (tptp.m2_finseq_1 F A) (tptp.m2_finseq_1 (tptp.k4_funcop_1 E F D) C)))))))))))))) (forall ((A $$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 $$unsorted)) (=> (tptp.m1_subset_1 D B) (forall ((E $$unsorted)) (=> (and (tptp.v1_relat_1 E) (tptp.v1_funct_1 E) (tptp.v1_finseq_1 E)) (forall ((F $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A B))) (=> (and (tptp.v1_funct_1 F) (tptp.v1_funct_2 F _let_1 C) (tptp.m2_relset_1 F _let_1 C)) (forall ((G $$unsorted)) (=> (tptp.m2_finseq_1 G A) (=> (= E (tptp.k4_funcop_1 F G D)) (= (tptp.k3_finseq_1 E) (tptp.k3_finseq_1 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)) (=> (tptp.m1_subset_1 D B) (forall ((E $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A B))) (=> (and (tptp.v1_funct_1 E) (tptp.v1_funct_2 E _let_1 C) (tptp.m2_relset_1 E _let_1 C)) (= (tptp.k4_funcop_1 E (tptp.k6_finseq_1 A) D) (tptp.k6_finseq_1 C))))))))))))) (forall ((A $$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 $$unsorted)) (=> (tptp.m1_subset_1 D A) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E B) (forall ((F $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A B))) (=> (and (tptp.v1_funct_1 F) (tptp.v1_funct_2 F _let_1 C) (tptp.m2_relset_1 F _let_1 C)) (forall ((G $$unsorted)) (=> (tptp.m2_finseq_1 G A) (=> (= G (tptp.k12_finseq_1 A D)) (= (tptp.k4_funcop_1 F G E) (tptp.k12_finseq_1 C (tptp.k2_binop_1 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 $$unsorted)) (=> (tptp.m1_subset_1 E A) (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F B) (forall ((G $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A B))) (=> (and (tptp.v1_funct_1 G) (tptp.v1_funct_2 G _let_1 C) (tptp.m2_relset_1 G _let_1 C)) (forall ((H $$unsorted)) (=> (tptp.m2_finseq_1 H A) (=> (= H (tptp.k10_finseq_1 D E)) (= (tptp.k4_funcop_1 G H F) (tptp.k10_finseq_1 (tptp.k2_binop_1 A B C G D F) (tptp.k2_binop_1 A B C G 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)) (=> (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 $$unsorted)) (=> (tptp.m1_subset_1 G B) (forall ((H $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A B))) (=> (and (tptp.v1_funct_1 H) (tptp.v1_funct_2 H _let_1 C) (tptp.m2_relset_1 H _let_1 C)) (forall ((I $$unsorted)) (=> (tptp.m2_finseq_1 I A) (=> (= I (tptp.k11_finseq_1 D E F)) (= (tptp.k4_funcop_1 H I G) (tptp.k11_finseq_1 (tptp.k2_binop_1 A B C H D G) (tptp.k2_binop_1 A B C H E G) (tptp.k2_binop_1 A B C H F G))))))))))))))))))))))) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.m1_finseq_2 B A) (forall ((C $$unsorted)) (=> (tptp.r2_hidden C B) (tptp.m2_finseq_1 C A))))) true (forall ((A $$unsorted)) (let ((_let_1 (tptp.k13_finseq_1 A))) (and (not (tptp.v1_xboole_0 _let_1)) (tptp.m1_finseq_2 _let_1 A)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.m1_finseq_2 B A)) (tptp.r1_tarski B (tptp.k3_finseq_2 A)))) true (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A))) (forall ((C $$unsorted)) (let ((_let_1 (not (tptp.v1_xboole_0 C)))) (=> (and _let_1 (tptp.m1_finseq_2 C B)) (and _let_1 (tptp.m1_finseq_2 C A))))))))) true (forall ((A $$unsorted)) (=> (tptp.m2_subset_1 A tptp.k1_numbers tptp.k5_numbers) (forall ((B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (=> (tptp.m2_finseq_2 C B (tptp.k4_finseq_2 A B)) (= (tptp.k3_finseq_1 C) A))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m2_finseq_1 B A) (tptp.m1_subset_1 B (tptp.k4_finseq_2 (tptp.k3_finseq_1 B) A)))) (forall ((A $$unsorted)) (=> (tptp.m2_subset_1 A tptp.k1_numbers tptp.k5_numbers) (forall ((B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (= (tptp.k4_finseq_2 A B) (tptp.k1_funct_2 (tptp.k2_finseq_1 A) B)))))) (forall ((A $$unsorted)) (= (tptp.k4_finseq_2 tptp.np__0 A) (tptp.k6_domain_1 (tptp.k1_zfmisc_1 (tptp.k2_zfmisc_1 tptp.k5_numbers A)) (tptp.k6_finseq_1 A)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k4_finseq_2 tptp.np__0 A)) (= B (tptp.k6_finseq_1 A)))) (forall ((A $$unsorted)) (tptp.m1_subset_1 (tptp.k6_finseq_1 A) (tptp.k4_finseq_2 tptp.np__0 A))) (forall ((A $$unsorted)) (=> (tptp.m2_subset_1 A tptp.k1_numbers tptp.k5_numbers) (forall ((B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (=> (tptp.m2_finseq_2 C B (tptp.k4_finseq_2 tptp.np__0 B)) (forall ((D $$unsorted)) (=> (tptp.m2_finseq_2 D B (tptp.k4_finseq_2 A B)) (and (= (tptp.k8_finseq_1 B C D) D) (= (tptp.k8_finseq_1 B D C) D)))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (tptp.m2_finseq_2 B A (tptp.k4_finseq_2 tptp.np__1 A)) (exists ((C $$unsorted)) (and (tptp.m1_subset_1 C A) (= B (tptp.k12_finseq_1 A C)))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B A) (tptp.m2_finseq_2 (tptp.k12_finseq_1 A B) A (tptp.k4_finseq_2 tptp.np__1 A)))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (tptp.m2_finseq_2 B A (tptp.k4_finseq_2 tptp.np__2 A)) (exists ((C $$unsorted)) (and (tptp.m1_subset_1 C A) (exists ((D $$unsorted)) (and (tptp.m1_subset_1 D A) (= B (tptp.k10_finseq_1 C D)))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C A) (tptp.m2_finseq_2 (tptp.k10_finseq_1 B C) A (tptp.k4_finseq_2 tptp.np__2 A)))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (tptp.m2_finseq_2 B A (tptp.k4_finseq_2 tptp.np__3 A)) (exists ((C $$unsorted)) (and (tptp.m1_subset_1 C A) (exists ((D $$unsorted)) (and (tptp.m1_subset_1 D A) (exists ((E $$unsorted)) (and (tptp.m1_subset_1 E A) (= B (tptp.k11_finseq_1 C D E)))))))))))) (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)) (=> (tptp.m1_subset_1 D A) (tptp.m2_finseq_2 (tptp.k11_finseq_1 B C D) A (tptp.k4_finseq_2 tptp.np__3 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_numbers tptp.k5_numbers) (forall ((C $$unsorted)) (=> (not (tptp.v1_xboole_0 C)) (forall ((D $$unsorted)) (=> (tptp.m2_finseq_2 D C (tptp.k4_finseq_2 (tptp.k1_nat_1 A B) C)) (exists ((E $$unsorted)) (and (tptp.m2_finseq_2 E C (tptp.k4_finseq_2 A C)) (exists ((F $$unsorted)) (and (tptp.m2_finseq_2 F C (tptp.k4_finseq_2 B C)) (= D (tptp.k8_finseq_1 C E F)))))))))))))) (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 $$unsorted)) (=> (not (tptp.v1_xboole_0 C)) (forall ((D $$unsorted)) (=> (tptp.m2_finseq_2 D C (tptp.k4_finseq_2 A C)) (forall ((E $$unsorted)) (=> (tptp.m2_finseq_2 E C (tptp.k4_finseq_2 B C)) (tptp.m2_finseq_2 (tptp.k8_finseq_1 C D E) C (tptp.k4_finseq_2 (tptp.k1_nat_1 A B) C)))))))))))) (forall ((A $$unsorted)) (=> (tptp.m2_subset_1 A tptp.k1_numbers tptp.k5_numbers) (forall ((B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (=> (and (not (tptp.v1_xboole_0 C)) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 B))) (forall ((D $$unsorted)) (=> (tptp.m2_finseq_2 D C (tptp.k4_finseq_2 A C)) (tptp.m2_finseq_2 D B (tptp.k4_finseq_2 A B)))))))))) (forall ((A $$unsorted)) (=> (tptp.m2_subset_1 A tptp.k1_numbers tptp.k5_numbers) (forall ((B $$unsorted)) (=> (tptp.m2_subset_1 B tptp.k1_numbers tptp.k5_numbers) (forall ((C $$unsorted)) (=> (not (tptp.v1_xboole_0 C)) (=> (= (tptp.k4_finseq_2 A C) (tptp.k4_finseq_2 B C)) (= A B)))))))) (forall ((A $$unsorted)) (=> (tptp.m2_subset_1 A tptp.k1_numbers tptp.k5_numbers) (tptp.m2_finseq_2 (tptp.k1_finseq_2 A) tptp.k5_numbers (tptp.k4_finseq_2 A tptp.k5_numbers)))) (forall ((A $$unsorted)) (=> (tptp.m2_subset_1 A tptp.k1_numbers tptp.k5_numbers) (forall ((B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C B) (tptp.m2_finseq_2 (tptp.k2_finseq_2 A C) B (tptp.k4_finseq_2 A B)))))))) (forall ((A $$unsorted)) (=> (tptp.m2_subset_1 A tptp.k1_numbers tptp.k5_numbers) (forall ((B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (=> (not (tptp.v1_xboole_0 C)) (forall ((D $$unsorted)) (=> (tptp.m2_finseq_2 D B (tptp.k4_finseq_2 A B)) (forall ((E $$unsorted)) (=> (and (tptp.v1_funct_1 E) (tptp.v1_funct_2 E B C) (tptp.m2_relset_1 E B C)) (tptp.m2_finseq_2 (tptp.k1_partfun1 tptp.k5_numbers B B C D E) C (tptp.k4_finseq_2 A C)))))))))))) (forall ((A $$unsorted)) (=> (tptp.m2_subset_1 A tptp.k1_numbers tptp.k5_numbers) (forall ((B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (=> (tptp.m2_finseq_2 C B (tptp.k4_finseq_2 A B)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k2_finseq_1 A))) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D _let_1 _let_1) (tptp.m2_relset_1 D _let_1 _let_1)) (=> (= (tptp.k2_relat_1 D) _let_1) (tptp.m2_finseq_2 (tptp.k1_partfun1 _let_1 _let_1 tptp.k5_numbers B D C) B (tptp.k4_finseq_2 A B)))))))))))) (forall ((A $$unsorted)) (=> (tptp.m2_subset_1 A tptp.k1_numbers tptp.k5_numbers) (forall ((B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (=> (tptp.m2_finseq_2 C B (tptp.k4_finseq_2 A B)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k2_finseq_1 A))) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D _let_1 _let_1) (tptp.v3_funct_2 D _let_1 _let_1) (tptp.m2_relset_1 D _let_1 _let_1)) (tptp.m2_finseq_2 (tptp.k1_partfun1 _let_1 _let_1 tptp.k5_numbers B D C) B (tptp.k4_finseq_2 A B))))))))))) (forall ((A $$unsorted)) (=> (tptp.m2_subset_1 A tptp.k1_numbers tptp.k5_numbers) (forall ((B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (=> (tptp.m2_finseq_2 C B (tptp.k4_finseq_2 A B)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D B) (= (tptp.k1_funct_1 (tptp.k8_finseq_1 B C (tptp.k12_finseq_1 B D)) (tptp.k1_nat_1 A tptp.np__1)) D))))))))) (forall ((A $$unsorted)) (=> (tptp.m2_subset_1 A tptp.k1_numbers tptp.k5_numbers) (forall ((B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (=> (tptp.m2_finseq_2 C B (tptp.k4_finseq_2 (tptp.k1_nat_1 A tptp.np__1) B)) (exists ((D $$unsorted)) (and (tptp.m2_finseq_2 D B (tptp.k4_finseq_2 A B)) (exists ((E $$unsorted)) (and (tptp.m1_subset_1 E B) (= C (tptp.k8_finseq_1 B D (tptp.k12_finseq_1 B E))))))))))))) (forall ((A $$unsorted)) (=> (tptp.m2_subset_1 A tptp.k1_numbers tptp.k5_numbers) (forall ((B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (=> (tptp.m2_finseq_2 C B (tptp.k4_finseq_2 A B)) (= (tptp.k5_relat_1 (tptp.k1_finseq_2 A) C) C))))))) (forall ((A $$unsorted)) (=> (tptp.m2_subset_1 A tptp.k1_numbers tptp.k5_numbers) (forall ((B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (=> (tptp.m2_finseq_2 C B (tptp.k4_finseq_2 A B)) (forall ((D $$unsorted)) (=> (tptp.m2_finseq_2 D B (tptp.k4_finseq_2 A B)) (=> (forall ((E $$unsorted)) (=> (tptp.m2_subset_1 E tptp.k1_numbers tptp.k5_numbers) (=> (tptp.r2_hidden E (tptp.k2_finseq_1 A)) (= (tptp.k1_funct_1 C E) (tptp.k1_funct_1 D E))))) (= C D)))))))))) (forall ((A $$unsorted)) (=> (tptp.m2_subset_1 A tptp.k1_numbers tptp.k5_numbers) (forall ((B $$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 $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 B C))) (=> (and (tptp.v1_funct_1 E) (tptp.v1_funct_2 E _let_1 D) (tptp.m2_relset_1 E _let_1 D)) (forall ((F $$unsorted)) (=> (tptp.m2_finseq_2 F B (tptp.k4_finseq_2 A B)) (forall ((G $$unsorted)) (=> (tptp.m2_finseq_2 G C (tptp.k4_finseq_2 A C)) (tptp.m2_finseq_2 (tptp.k3_funcop_1 E F G) D (tptp.k4_finseq_2 A D))))))))))))))))) (forall ((A $$unsorted)) (=> (tptp.m2_subset_1 A tptp.k1_numbers tptp.k5_numbers) (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)) (=> (tptp.m1_subset_1 E B) (forall ((F $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 B C))) (=> (and (tptp.v1_funct_1 F) (tptp.v1_funct_2 F _let_1 D) (tptp.m2_relset_1 F _let_1 D)) (forall ((G $$unsorted)) (=> (tptp.m2_finseq_2 G C (tptp.k4_finseq_2 A C)) (tptp.m2_finseq_2 (tptp.k5_funcop_1 F E G) D (tptp.k4_finseq_2 A D))))))))))))))))) (forall ((A $$unsorted)) (=> (tptp.m2_subset_1 A tptp.k1_numbers tptp.k5_numbers) (forall ((B $$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 $$unsorted)) (=> (tptp.m1_subset_1 E C) (forall ((F $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 B C))) (=> (and (tptp.v1_funct_1 F) (tptp.v1_funct_2 F _let_1 D) (tptp.m2_relset_1 F _let_1 D)) (forall ((G $$unsorted)) (=> (tptp.m2_finseq_2 G B (tptp.k4_finseq_2 A B)) (tptp.m2_finseq_2 (tptp.k4_funcop_1 F G E) D (tptp.k4_finseq_2 A D))))))))))))))))) (forall ((A $$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.k2_finseq_2 (tptp.k1_nat_1 A B) C) (tptp.k7_finseq_1 (tptp.k2_finseq_2 A C) (tptp.k2_finseq_2 B C)))))))) (forall ((A $$unsorted)) (=> (tptp.m2_subset_1 A tptp.k1_numbers tptp.k5_numbers) (forall ((B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (=> (tptp.m2_finseq_2 C B (tptp.k4_finseq_2 A B)) (= (tptp.k4_finseq_1 C) (tptp.k2_finseq_1 A)))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_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.k5_relat_1 (tptp.k10_finseq_1 B C) A) (tptp.k10_finseq_1 (tptp.k1_funct_1 A B) (tptp.k1_funct_1 A C)))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k1_relat_1 A))) (=> (and (tptp.r2_hidden B _let_1) (tptp.r2_hidden C _let_1) (tptp.r2_hidden D _let_1)) (= (tptp.k5_relat_1 (tptp.k11_finseq_1 B C D) A) (tptp.k11_finseq_1 (tptp.k1_funct_1 A B) (tptp.k1_funct_1 A C) (tptp.k1_funct_1 A D)))))))) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.k2_relat_1 (tptp.k10_finseq_1 A B)) (tptp.k2_tarski A B))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.k2_relat_1 (tptp.k11_finseq_1 A B C)) (tptp.k1_enumset1 A B C))) (forall ((A $$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)) (=> (and (tptp.r1_tarski A C) (tptp.r1_tarski B C) (= (tptp.k3_finseq_1 A) (tptp.k3_finseq_1 B))) (= A B)))))))) (exists ((A $$unsorted)) (and (tptp.m2_finseq_1 A tptp.f2_s1_finseq_2) (= (tptp.k3_finseq_1 A) tptp.f1_s1_finseq_2) (forall ((B $$unsorted)) (=> (tptp.m2_subset_1 B tptp.k1_numbers tptp.k5_numbers) (=> (tptp.r2_hidden B (tptp.k2_finseq_1 tptp.f1_s1_finseq_2)) (= (tptp.k1_funct_1 A B) (tptp.f3_s1_finseq_2 B))))))) (=> (and (tptp.p1_s2_finseq_2 (tptp.k6_finseq_1 tptp.f1_s2_finseq_2)) (forall ((A $$unsorted)) (=> (tptp.m2_finseq_1 A tptp.f1_s2_finseq_2) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.f1_s2_finseq_2) (=> (tptp.p1_s2_finseq_2 A) (tptp.p1_s2_finseq_2 (tptp.k8_finseq_1 tptp.f1_s2_finseq_2 A (tptp.k12_finseq_1 tptp.f1_s2_finseq_2 B))))))))) (forall ((A $$unsorted)) (=> (tptp.m2_finseq_1 A tptp.f1_s2_finseq_2) (tptp.p1_s2_finseq_2 A)))) true (forall ((A $$unsorted)) (exists ((B $$unsorted)) (tptp.m1_finseq_2 B A))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.m1_finseq_2 B A)) (forall ((C $$unsorted)) (=> (tptp.m2_finseq_2 C A B) (tptp.m2_finseq_1 C A))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.m1_finseq_2 B A)) (exists ((C $$unsorted)) (tptp.m2_finseq_2 C A B)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.m1_finseq_2 B A)) (forall ((C $$unsorted)) (= (tptp.m2_finseq_2 C A B) (tptp.m1_subset_1 C B))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k1_finseq_2 A))) (=> (tptp.v4_ordinal2 A) (and (tptp.v1_relat_1 _let_1) (tptp.v1_funct_1 _let_1) (tptp.v1_finseq_1 _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k2_finseq_2 A B))) (=> (tptp.v4_ordinal2 A) (and (tptp.v1_relat_1 _let_1) (tptp.v1_funct_1 _let_1) (tptp.v1_finseq_1 _let_1))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k3_finseq_2 A))) (and (not (tptp.v1_xboole_0 _let_1)) (tptp.m1_finseq_2 _let_1 A)))) (forall ((A $$unsorted)) (= (tptp.k3_finseq_2 A) (tptp.k13_finseq_1 A))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.v4_ordinal2 A) (tptp.m1_finseq_2 (tptp.k4_finseq_2 A B) B))) (forall ((A $$unsorted)) (=> (tptp.v4_ordinal2 A) (forall ((B $$unsorted)) (= (tptp.k4_finseq_2 A B) (tptp.a_2_0_finseq_2 A B))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (= (tptp.k4_finseq_2 tptp.np__1 A) (tptp.a_1_0_finseq_2 A)))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (= (tptp.k4_finseq_2 tptp.np__2 A) (tptp.a_1_1_finseq_2 A)))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (= (tptp.k4_finseq_2 tptp.np__3 A) (tptp.a_1_2_finseq_2 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_numbers tptp.k5_numbers) (forall ((C $$unsorted)) (=> (not (tptp.v1_xboole_0 C)) (= (tptp.k4_finseq_2 (tptp.k1_nat_1 A B) C) (tptp.a_3_0_finseq_2 A B C)))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (= (tptp.k3_finseq_2 A) (tptp.k3_tarski (tptp.a_1_3_finseq_2 A))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.v4_ordinal2 B) (= (tptp.r2_hidden A (tptp.a_2_0_finseq_2 B C)) (exists ((D $$unsorted)) (and (tptp.m2_finseq_2 D C (tptp.k3_finseq_2 C)) (= A D) (= (tptp.k3_finseq_1 D) B)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (= (tptp.r2_hidden A (tptp.a_1_0_finseq_2 B)) (exists ((C $$unsorted)) (and (tptp.m1_subset_1 C B) (= A (tptp.k12_finseq_1 B C))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (= (tptp.r2_hidden A (tptp.a_1_1_finseq_2 B)) (exists ((C $$unsorted) (D $$unsorted)) (and (tptp.m1_subset_1 C B) (tptp.m1_subset_1 D B) (= A (tptp.k10_finseq_1 C D))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (= (tptp.r2_hidden A (tptp.a_1_2_finseq_2 B)) (exists ((C $$unsorted) (D $$unsorted) (E $$unsorted)) (and (tptp.m1_subset_1 C B) (tptp.m1_subset_1 D B) (tptp.m1_subset_1 E B) (= A (tptp.k11_finseq_1 C D E))))))) (forall ((A $$unsorted) (B $$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) (not (tptp.v1_xboole_0 D))) (= (tptp.r2_hidden A (tptp.a_3_0_finseq_2 B C D)) (exists ((E $$unsorted) (F $$unsorted)) (and (tptp.m2_finseq_2 E D (tptp.k4_finseq_2 B D)) (tptp.m2_finseq_2 F D (tptp.k4_finseq_2 C D)) (= A (tptp.k8_finseq_1 D E F))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (= (tptp.r2_hidden A (tptp.a_1_3_finseq_2 B)) (exists ((C $$unsorted)) (and (tptp.m2_subset_1 C tptp.k1_numbers tptp.k5_numbers) (= A (tptp.k4_finseq_2 C B))))))) (forall ((A $$unsorted)) (not (tptp.v1_xboole_0 (tptp.k1_classes1 A)))) (forall ((A $$unsorted)) (= (tptp.v1_classes1 A) (forall ((B $$unsorted) (C $$unsorted)) (=> (and (tptp.r2_hidden B A) (tptp.r1_tarski C B)) (tptp.r2_hidden C A))))) (forall ((A $$unsorted)) (= (tptp.v2_classes1 A) (and (tptp.v1_classes1 A) (forall ((B $$unsorted)) (=> (tptp.r2_hidden B A) (tptp.r2_hidden (tptp.k1_zfmisc_1 B) A))) (forall ((B $$unsorted)) (not (and (tptp.r1_tarski B A) (not (tptp.r2_tarski B A)) (not (tptp.r2_hidden B A)))))))) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.r1_classes1 A B) (and (tptp.r2_hidden A B) (tptp.v2_classes1 B)))) (forall ((A $$unsorted) (B $$unsorted)) (= (= B (tptp.k1_classes1 A)) (and (tptp.r1_classes1 A B) (forall ((C $$unsorted)) (=> (tptp.r1_classes1 A C) (tptp.r1_tarski B C)))))) true (forall ((A $$unsorted)) (= (tptp.v2_classes1 A) (and (tptp.v1_classes1 A) (forall ((B $$unsorted)) (=> (tptp.r2_hidden B A) (tptp.r2_hidden (tptp.k1_zfmisc_1 B) A))) (forall ((B $$unsorted)) (=> (and (tptp.r1_tarski B A) (tptp.r2_hidden (tptp.k1_card_1 B) (tptp.k1_card_1 A))) (tptp.r2_hidden B A)))))) true true (forall ((A $$unsorted)) (tptp.r2_hidden A (tptp.k1_classes1 A))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k1_classes1 B))) (=> (and (tptp.r2_hidden A _let_1) (tptp.r1_tarski C A)) (tptp.r2_hidden C _let_1)))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k1_classes1 B))) (=> (tptp.r2_hidden A _let_1) (tptp.r2_hidden (tptp.k1_zfmisc_1 A) _let_1)))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k1_classes1 B))) (not (and (tptp.r1_tarski A _let_1) (not (tptp.r2_tarski A _let_1)) (not (tptp.r2_hidden A _let_1)))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k1_classes1 B))) (=> (and (tptp.r1_tarski A _let_1) (tptp.r2_hidden (tptp.k1_card_1 A) (tptp.k1_card_1 _let_1))) (tptp.r2_hidden A _let_1)))) (forall ((A $$unsorted)) (= (tptp.k3_classes1 A tptp.k1_xboole_0) (tptp.k1_tarski A))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.v3_ordinal1 C) (= (tptp.r2_hidden A (tptp.k3_classes1 B (tptp.k1_ordinal1 C))) (not (and (not (and (tptp.r1_tarski A (tptp.k3_classes1 B C)) (tptp.r2_hidden A (tptp.k1_classes1 B)))) (forall ((D $$unsorted)) (not (and (tptp.r2_hidden D (tptp.k3_classes1 B C)) (or (tptp.r1_tarski A D) (= A (tptp.k1_zfmisc_1 D))))))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (tptp.v3_ordinal1 D) (=> (and (tptp.r1_tarski A B) (tptp.r2_hidden B (tptp.k3_classes1 C D))) (tptp.r2_hidden A (tptp.k3_classes1 C (tptp.k1_ordinal1 D)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.v3_ordinal1 C) (=> (tptp.r2_hidden A (tptp.k3_classes1 B C)) (tptp.r2_hidden (tptp.k1_zfmisc_1 A) (tptp.k3_classes1 B (tptp.k1_ordinal1 C)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.v3_ordinal1 C) (=> (tptp.v4_ordinal1 C) (or (= C tptp.k1_xboole_0) (= (tptp.r2_hidden B (tptp.k3_classes1 A C)) (exists ((D $$unsorted)) (and (tptp.v3_ordinal1 D) (tptp.r2_hidden D C) (tptp.r2_hidden B (tptp.k3_classes1 A D))))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k3_classes1 B D))) (=> (tptp.v3_ordinal1 D) (=> (and (tptp.v4_ordinal1 D) (tptp.r2_hidden A _let_1)) (or (= D tptp.k1_xboole_0) (and (not (tptp.r1_tarski C A)) (not (= C (tptp.k1_zfmisc_1 A)))) (tptp.r2_hidden C _let_1)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.v3_ordinal1 B) (tptp.r1_tarski (tptp.k3_classes1 A B) (tptp.k3_classes1 A (tptp.k1_ordinal1 B))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.v3_ordinal1 B) (forall ((C $$unsorted)) (=> (tptp.v3_ordinal1 C) (=> (tptp.r1_ordinal1 B C) (tptp.r1_tarski (tptp.k3_classes1 A B) (tptp.k3_classes1 A C))))))) (forall ((A $$unsorted)) (exists ((B $$unsorted)) (and (tptp.v3_ordinal1 B) (= (tptp.k3_classes1 A B) (tptp.k3_classes1 A (tptp.k1_ordinal1 B)))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k3_classes1 A B))) (=> (tptp.v3_ordinal1 B) (=> (= _let_1 (tptp.k3_classes1 A (tptp.k1_ordinal1 B))) (= _let_1 (tptp.k1_classes1 A)))))) (forall ((A $$unsorted)) (exists ((B $$unsorted)) (and (tptp.v3_ordinal1 B) (= (tptp.k3_classes1 A B) (tptp.k1_classes1 A))))) (forall ((A $$unsorted)) (exists ((B $$unsorted)) (and (tptp.v3_ordinal1 B) (= (tptp.k3_classes1 A B) (tptp.k1_classes1 A)) (forall ((C $$unsorted)) (=> (tptp.v3_ordinal1 C) (not (and (tptp.r2_hidden C B) (= (tptp.k3_classes1 A C) (tptp.k1_classes1 A))))))))) (forall ((A $$unsorted) (B $$unsorted)) (not (and (not (= A B)) (tptp.r2_hidden A (tptp.k1_classes1 B)) (forall ((C $$unsorted)) (=> (tptp.v3_ordinal1 C) (not (and (not (tptp.r2_hidden A (tptp.k3_classes1 B C))) (tptp.r2_hidden A (tptp.k3_classes1 B (tptp.k1_ordinal1 C)))))))))) (forall ((A $$unsorted)) (=> (tptp.v1_ordinal1 A) (forall ((B $$unsorted)) (=> (tptp.v3_ordinal1 B) (=> (not (= B tptp.k1_xboole_0)) (tptp.v1_ordinal1 (tptp.k3_classes1 A B))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k3_classes1 A tptp.k4_ordinal2))) (let ((_let_2 (tptp.k3_classes1 A tptp.k1_xboole_0))) (and (tptp.r2_hidden _let_2 _let_1) (not (= _let_2 _let_1)))))) (forall ((A $$unsorted)) (=> (tptp.v1_ordinal1 A) (tptp.v1_ordinal1 (tptp.k1_classes1 A)))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k1_classes1 B))) (=> (tptp.r2_hidden A _let_1) (tptp.r2_hidden (tptp.k1_card_1 A) (tptp.k1_card_1 _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k1_classes1 B))) (not (and (tptp.r2_hidden A _let_1) (tptp.r2_tarski A _let_1))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k1_classes1 A))) (=> (and (tptp.r2_hidden B _let_1) (tptp.r2_hidden C _let_1)) (and (tptp.r2_hidden (tptp.k1_tarski B) _let_1) (tptp.r2_hidden (tptp.k2_tarski B C) _let_1))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k1_classes1 A))) (=> (and (tptp.r2_hidden B _let_1) (tptp.r2_hidden C _let_1)) (tptp.r2_hidden (tptp.k4_tarski B C) _let_1)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k1_classes1 B))) (=> (and (tptp.r1_tarski A _let_1) (tptp.r1_tarski C _let_1)) (tptp.r1_tarski (tptp.k2_zfmisc_1 A C) _let_1)))) (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (forall ((B $$unsorted)) (= (= B (tptp.k4_classes1 A)) (exists ((C $$unsorted)) (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C) (tptp.v5_ordinal1 C) (= B (tptp.k1_ordinal2 C)) (= (tptp.k1_relat_1 C) (tptp.k1_ordinal1 A)) (= (tptp.k1_funct_1 C tptp.k1_xboole_0) tptp.k1_xboole_0) (forall ((D $$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_zfmisc_1 (tptp.k1_funct_1 C D))))))) (forall ((D $$unsorted)) (=> (tptp.v3_ordinal1 D) (=> (and (tptp.r2_hidden D (tptp.k1_ordinal1 A)) (tptp.v4_ordinal1 D)) (or (= D tptp.k1_xboole_0) (= (tptp.k1_funct_1 C D) (tptp.k3_tarski (tptp.k2_relat_1 (tptp.k2_ordinal1 C D)))))))))))))) (= (tptp.k4_classes1 tptp.k1_xboole_0) tptp.k1_xboole_0) (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (= (tptp.k4_classes1 (tptp.k1_ordinal1 A)) (tptp.k1_zfmisc_1 (tptp.k4_classes1 A))))) (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (=> (tptp.v4_ordinal1 A) (or (= A tptp.k1_xboole_0) (forall ((B $$unsorted)) (= (tptp.r2_hidden B (tptp.k4_classes1 A)) (exists ((C $$unsorted)) (and (tptp.v3_ordinal1 C) (tptp.r2_hidden C A) (tptp.r2_hidden B (tptp.k4_classes1 C)))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.v3_ordinal1 B) (= (tptp.r1_tarski A (tptp.k4_classes1 B)) (tptp.r2_hidden A (tptp.k4_classes1 (tptp.k1_ordinal1 B)))))) (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (tptp.v1_ordinal1 (tptp.k4_classes1 A)))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k4_classes1 B))) (=> (tptp.v3_ordinal1 B) (=> (tptp.r2_hidden A _let_1) (tptp.r1_tarski A _let_1))))) (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (tptp.r1_tarski (tptp.k4_classes1 A) (tptp.k4_classes1 (tptp.k1_ordinal1 A))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k4_classes1 A))) (=> (tptp.v3_ordinal1 A) (tptp.r1_tarski (tptp.k3_tarski _let_1) _let_1)))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k4_classes1 B))) (=> (tptp.v3_ordinal1 B) (=> (tptp.r2_hidden A _let_1) (tptp.r2_hidden (tptp.k3_tarski A) _let_1))))) (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (forall ((B $$unsorted)) (=> (tptp.v3_ordinal1 B) (= (tptp.r2_hidden A B) (tptp.r2_hidden (tptp.k4_classes1 A) (tptp.k4_classes1 B))))))) (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (forall ((B $$unsorted)) (=> (tptp.v3_ordinal1 B) (= (tptp.r1_ordinal1 A B) (tptp.r1_tarski (tptp.k4_classes1 A) (tptp.k4_classes1 B))))))) (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (tptp.r1_tarski A (tptp.k4_classes1 A)))) (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k4_classes1 A))) (=> (tptp.r2_hidden B _let_1) (and (not (tptp.r2_tarski B _let_1)) (tptp.r2_hidden (tptp.k1_card_1 B) (tptp.k1_card_1 _let_1)))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.v3_ordinal1 B) (= (tptp.r1_tarski A (tptp.k4_classes1 B)) (tptp.r1_tarski (tptp.k1_zfmisc_1 A) (tptp.k4_classes1 (tptp.k1_ordinal1 B)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k4_classes1 C))) (=> (tptp.v3_ordinal1 C) (=> (and (tptp.r1_tarski A B) (tptp.r2_hidden B _let_1)) (tptp.r2_hidden A _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.v3_ordinal1 B) (= (tptp.r2_hidden A (tptp.k4_classes1 B)) (tptp.r2_hidden (tptp.k1_zfmisc_1 A) (tptp.k4_classes1 (tptp.k1_ordinal1 B)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.v3_ordinal1 B) (= (tptp.r2_hidden A (tptp.k4_classes1 B)) (tptp.r2_hidden (tptp.k1_tarski A) (tptp.k4_classes1 (tptp.k1_ordinal1 B)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k4_classes1 C))) (=> (tptp.v3_ordinal1 C) (= (and (tptp.r2_hidden A _let_1) (tptp.r2_hidden B _let_1)) (tptp.r2_hidden (tptp.k2_tarski A B) (tptp.k4_classes1 (tptp.k1_ordinal1 C))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k4_classes1 C))) (=> (tptp.v3_ordinal1 C) (= (and (tptp.r2_hidden A _let_1) (tptp.r2_hidden B _let_1)) (tptp.r2_hidden (tptp.k4_tarski A B) (tptp.k4_classes1 (tptp.k1_ordinal1 (tptp.k1_ordinal1 C)))))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k4_classes1 B))) (let ((_let_2 (tptp.k1_classes1 A))) (=> (tptp.v3_ordinal1 B) (=> (and (tptp.v1_ordinal1 A) (= (tptp.k3_xboole_0 _let_1 _let_2) (tptp.k3_xboole_0 (tptp.k4_classes1 (tptp.k1_ordinal1 B)) _let_2))) (tptp.r1_tarski _let_2 _let_1)))))) (forall ((A $$unsorted)) (not (and (tptp.v1_ordinal1 A) (forall ((B $$unsorted)) (=> (tptp.v3_ordinal1 B) (not (tptp.r1_tarski (tptp.k1_classes1 A) (tptp.k4_classes1 B)))))))) (forall ((A $$unsorted)) (=> (tptp.v1_ordinal1 A) (tptp.r1_tarski (tptp.k3_tarski A) A))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_ordinal1 A) (tptp.v1_ordinal1 B)) (tptp.v1_ordinal1 (tptp.k2_xboole_0 A B)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_ordinal1 A) (tptp.v1_ordinal1 B)) (tptp.v1_ordinal1 (tptp.k3_xboole_0 A B)))) (forall ((A $$unsorted) (B $$unsorted)) (= (= B (tptp.k5_classes1 A)) (forall ((C $$unsorted)) (= (tptp.r2_hidden C B) (exists ((D $$unsorted)) (and (tptp.v1_relat_1 D) (tptp.v1_funct_1 D) (exists ((E $$unsorted)) (and (tptp.m2_subset_1 E tptp.k1_numbers tptp.k5_numbers) (tptp.r2_hidden C (tptp.k1_funct_1 D E)) (= (tptp.k1_relat_1 D) tptp.k5_numbers) (= (tptp.k1_funct_1 D tptp.np__0) A) (forall ((F $$unsorted)) (=> (tptp.m2_subset_1 F tptp.k1_numbers tptp.k5_numbers) (= (tptp.k1_funct_1 D (tptp.k1_nat_1 F tptp.np__1)) (tptp.k3_tarski (tptp.k1_funct_1 D F))))))))))))) true (forall ((A $$unsorted)) (tptp.v1_ordinal1 (tptp.k5_classes1 A))) (forall ((A $$unsorted)) (tptp.r1_tarski A (tptp.k5_classes1 A))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.r1_tarski A B) (tptp.v1_ordinal1 B)) (tptp.r1_tarski (tptp.k5_classes1 A) B))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (forall ((C $$unsorted)) (=> (and (tptp.r1_tarski A C) (tptp.v1_ordinal1 C)) (tptp.r1_tarski B C))) (tptp.r1_tarski A B) (tptp.v1_ordinal1 B)) (= (tptp.k5_classes1 A) B))) (forall ((A $$unsorted)) (=> (tptp.v1_ordinal1 A) (= (tptp.k5_classes1 A) A))) (= (tptp.k5_classes1 tptp.k1_xboole_0) tptp.k1_xboole_0) (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (= (tptp.k5_classes1 A) A))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.r1_tarski A B) (tptp.r1_tarski (tptp.k5_classes1 A) (tptp.k5_classes1 B)))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k5_classes1 A))) (= (tptp.k5_classes1 _let_1) _let_1))) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.k5_classes1 (tptp.k2_xboole_0 A B)) (tptp.k2_xboole_0 (tptp.k5_classes1 A) (tptp.k5_classes1 B)))) (forall ((A $$unsorted) (B $$unsorted)) (tptp.r1_tarski (tptp.k5_classes1 (tptp.k3_xboole_0 A B)) (tptp.k3_xboole_0 (tptp.k5_classes1 A) (tptp.k5_classes1 B)))) (forall ((A $$unsorted)) (exists ((B $$unsorted)) (and (tptp.v3_ordinal1 B) (tptp.r1_tarski A (tptp.k4_classes1 B))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.v3_ordinal1 B) (= (= B (tptp.k6_classes1 A)) (and (tptp.r1_tarski A (tptp.k4_classes1 B)) (forall ((C $$unsorted)) (=> (tptp.v3_ordinal1 C) (=> (tptp.r1_tarski A (tptp.k4_classes1 C)) (tptp.r1_ordinal1 B C)))))))) true (forall ((A $$unsorted)) (= (tptp.k6_classes1 (tptp.k1_zfmisc_1 A)) (tptp.k1_ordinal1 (tptp.k6_classes1 A)))) (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (= (tptp.k6_classes1 (tptp.k4_classes1 A)) A))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.v3_ordinal1 B) (= (tptp.r1_tarski A (tptp.k4_classes1 B)) (tptp.r1_ordinal1 (tptp.k6_classes1 A) B)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.v3_ordinal1 B) (= (tptp.r2_hidden A (tptp.k4_classes1 B)) (tptp.r2_hidden (tptp.k6_classes1 A) B)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.r1_tarski A B) (tptp.r1_ordinal1 (tptp.k6_classes1 A) (tptp.k6_classes1 B)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.r2_hidden A B) (tptp.r2_hidden (tptp.k6_classes1 A) (tptp.k6_classes1 B)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.v3_ordinal1 B) (= (tptp.r1_ordinal1 (tptp.k6_classes1 A) B) (forall ((C $$unsorted)) (=> (tptp.r2_hidden C A) (tptp.r2_hidden (tptp.k6_classes1 C) B)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.v3_ordinal1 B) (= (tptp.r1_ordinal1 B (tptp.k6_classes1 A)) (forall ((C $$unsorted)) (=> (tptp.v3_ordinal1 C) (not (and (tptp.r2_hidden C B) (forall ((D $$unsorted)) (not (and (tptp.r2_hidden D A) (tptp.r1_ordinal1 C (tptp.k6_classes1 D)))))))))))) (forall ((A $$unsorted)) (= (= (tptp.k6_classes1 A) tptp.k1_xboole_0) (= A tptp.k1_xboole_0))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.v3_ordinal1 B) (not (and (= (tptp.k6_classes1 A) (tptp.k1_ordinal1 B)) (forall ((C $$unsorted)) (not (and (tptp.r2_hidden C A) (= (tptp.k6_classes1 C) B)))))))) (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (= (tptp.k6_classes1 A) A))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k6_classes1 (tptp.k1_classes1 A)))) (and (not (= _let_1 tptp.k1_xboole_0)) (tptp.v4_ordinal1 _let_1)))) true true (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.v3_ordinal1 B) (tptp.m1_subset_1 (tptp.k3_classes1 A B) (tptp.k1_zfmisc_1 (tptp.k1_classes1 A))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.v3_ordinal1 B) (= (tptp.k3_classes1 A B) (tptp.k2_classes1 A B)))) true true (forall ((A $$unsorted)) (tptp.v3_ordinal1 (tptp.k6_classes1 A))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.v3_ordinal1 B) (forall ((C $$unsorted)) (= (= C (tptp.k2_classes1 A B)) (exists ((D $$unsorted)) (and (tptp.v1_relat_1 D) (tptp.v1_funct_1 D) (tptp.v5_ordinal1 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.k1_tarski A)) (forall ((E $$unsorted)) (let ((_let_1 (tptp.k1_ordinal1 E))) (=> (tptp.v3_ordinal1 E) (=> (tptp.r2_hidden _let_1 (tptp.k1_ordinal1 B)) (= (tptp.k1_funct_1 D _let_1) (tptp.k2_xboole_0 (tptp.k2_xboole_0 (tptp.a_3_0_classes1 A D E) (tptp.a_3_1_classes1 A D E)) (tptp.k3_xboole_0 (tptp.k1_zfmisc_1 (tptp.k1_funct_1 D E)) (tptp.k1_classes1 A)))))))) (forall ((E $$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.k3_xboole_0 (tptp.k3_tarski (tptp.k2_relat_1 (tptp.k2_ordinal1 D E))) (tptp.k1_classes1 A))))))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.v3_ordinal1 B) (= (tptp.k3_classes1 A (tptp.k1_ordinal1 B)) (tptp.k2_xboole_0 (tptp.k2_xboole_0 (tptp.a_2_0_classes1 A B) (tptp.a_2_1_classes1 A B)) (tptp.k3_xboole_0 (tptp.k1_zfmisc_1 (tptp.k3_classes1 A B)) (tptp.k1_classes1 A)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.v3_ordinal1 B) (=> (tptp.v4_ordinal1 B) (or (= B tptp.k1_xboole_0) (= (tptp.k3_classes1 A B) (tptp.a_2_2_classes1 A B)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C) (tptp.v5_ordinal1 C) (tptp.v3_ordinal1 D)) (= (tptp.r2_hidden A (tptp.a_3_0_classes1 B C D)) (exists ((E $$unsorted)) (and (tptp.m1_subset_1 E (tptp.k1_classes1 B)) (= A E) (exists ((F $$unsorted)) (and (tptp.m1_subset_1 F (tptp.k1_classes1 B)) (tptp.r2_hidden F (tptp.k1_funct_1 C D)) (tptp.r1_tarski E F)))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C) (tptp.v5_ordinal1 C) (tptp.v3_ordinal1 D)) (= (tptp.r2_hidden A (tptp.a_3_1_classes1 B C D)) (exists ((E $$unsorted)) (and (tptp.m1_subset_1 E (tptp.k1_classes1 B)) (= A (tptp.k1_zfmisc_1 E)) (tptp.r2_hidden E (tptp.k1_funct_1 C D))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.v3_ordinal1 C) (= (tptp.r2_hidden A (tptp.a_2_0_classes1 B C)) (exists ((D $$unsorted)) (and (tptp.m1_subset_1 D (tptp.k1_classes1 B)) (= A D) (exists ((E $$unsorted)) (and (tptp.m1_subset_1 E (tptp.k1_classes1 B)) (tptp.r2_hidden E (tptp.k3_classes1 B C)) (tptp.r1_tarski D E)))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.v3_ordinal1 C) (= (tptp.r2_hidden A (tptp.a_2_1_classes1 B C)) (exists ((D $$unsorted)) (and (tptp.m1_subset_1 D (tptp.k1_classes1 B)) (= A (tptp.k1_zfmisc_1 D)) (tptp.r2_hidden D (tptp.k3_classes1 B C))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.v3_ordinal1 C) (= (tptp.r2_hidden A (tptp.a_2_2_classes1 B C)) (exists ((D $$unsorted)) (and (tptp.m1_subset_1 D (tptp.k1_classes1 B)) (= A D) (exists ((E $$unsorted)) (and (tptp.v3_ordinal1 E) (tptp.r2_hidden E C) (tptp.r2_hidden D (tptp.k3_classes1 B E))))))))) (exists ((A $$unsorted)) (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_card_3 A))) (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_card_3 A)) (and (tptp.v1_relat_1 _let_1) (tptp.v1_funct_1 _let_1) (tptp.v1_card_3 _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k2_funcop_1 A B))) (=> (tptp.v1_card_1 B) (and (tptp.v1_relat_1 _let_1) (tptp.v1_funct_1 _let_1) (tptp.v1_ordinal2 _let_1) (tptp.v1_card_3 _let_1))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (tptp.v1_fraenkel (tptp.k4_card_3 A)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k4_card_3 C))) (=> (and (tptp.v1_setfam_1 B) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C A B) (tptp.m1_relset_1 C A B)) (and (not (tptp.v1_xboole_0 _let_1)) (tptp.v1_fraenkel _let_1))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k4_card_3 A))) (=> (and (tptp.v1_relat_1 A) (tptp.v2_relat_1 A) (tptp.v1_funct_1 A)) (and (not (tptp.v1_xboole_0 _let_1)) (tptp.v1_fraenkel _let_1))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (= (tptp.v1_card_3 A) (forall ((B $$unsorted)) (=> (tptp.r2_hidden B (tptp.k1_relat_1 A)) (tptp.v1_card_1 (tptp.k1_funct_1 A B))))))) true true (and _let_58 _let_56 (tptp.v1_card_3 tptp.k1_xboole_0)) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (tptp.v1_card_3 B)) (= (= B (tptp.k1_card_3 A)) (and (= (tptp.k1_relat_1 B) (tptp.k1_relat_1 A)) (forall ((C $$unsorted)) (=> (tptp.r2_hidden C (tptp.k1_relat_1 A)) (= (tptp.k1_funct_1 B C) (tptp.k1_card_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.k2_card_3 A)) (and (= (tptp.k1_relat_1 B) (tptp.k1_relat_1 A)) (forall ((C $$unsorted)) (=> (tptp.r2_hidden C (tptp.k1_relat_1 A)) (= (tptp.k1_funct_1 B C) (tptp.k2_zfmisc_1 (tptp.k1_funct_1 A C) (tptp.k1_tarski C))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (= (tptp.k3_card_3 A) (tptp.k3_tarski (tptp.k2_relat_1 A))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted)) (= (= B (tptp.k4_card_3 A)) (forall ((C $$unsorted)) (= (tptp.r2_hidden C B) (exists ((D $$unsorted)) (and (tptp.v1_relat_1 D) (tptp.v1_funct_1 D) (= C D) (= (tptp.k1_relat_1 D) (tptp.k1_relat_1 A)) (forall ((E $$unsorted)) (=> (tptp.r2_hidden E (tptp.k1_relat_1 A)) (tptp.r2_hidden (tptp.k1_funct_1 D E) (tptp.k1_funct_1 A E)))))))))))) true true true true (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_card_3 A)) (= (tptp.k1_card_3 A) A))) (= (tptp.k1_card_3 tptp.k1_xboole_0) tptp.k1_xboole_0) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.k1_card_3 (tptp.k2_funcop_1 A B)) (tptp.k2_funcop_1 A (tptp.k1_card_1 B)))) (= (tptp.k2_card_3 tptp.k1_xboole_0) tptp.k1_xboole_0) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k1_tarski A))) (= (tptp.k2_card_3 (tptp.k2_funcop_1 _let_1 B)) (tptp.k2_funcop_1 _let_1 (tptp.k2_zfmisc_1 B _let_1))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k2_card_3 C))) (let ((_let_2 (tptp.k1_relat_1 C))) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (=> (and (tptp.r2_hidden A _let_2) (tptp.r2_hidden B _let_2)) (or (= A B) (tptp.r1_xboole_0 (tptp.k1_funct_1 _let_1 A) (tptp.k1_funct_1 _let_1 B)))))))) (= (tptp.k3_card_3 tptp.k1_xboole_0) tptp.k1_xboole_0) (forall ((A $$unsorted) (B $$unsorted)) (tptp.r1_tarski (tptp.k3_card_3 (tptp.k2_funcop_1 A B)) B)) (forall ((A $$unsorted) (B $$unsorted)) (=> (not (= A tptp.k1_xboole_0)) (= (tptp.k3_card_3 (tptp.k2_funcop_1 A B)) B))) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.k3_card_3 (tptp.k2_funcop_1 (tptp.k1_tarski A) B)) B)) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (= (tptp.r2_hidden A (tptp.k4_card_3 B)) (and (= (tptp.k1_relat_1 A) (tptp.k1_relat_1 B)) (forall ((C $$unsorted)) (=> (tptp.r2_hidden C (tptp.k1_relat_1 B)) (tptp.r2_hidden (tptp.k1_funct_1 A C) (tptp.k1_funct_1 B C)))))))))) (= (tptp.k4_card_3 tptp.k1_xboole_0) _let_17) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.k1_funct_2 A B) (tptp.k4_card_3 (tptp.k2_funcop_1 A B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (= C (tptp.k5_card_3 A B)) (forall ((D $$unsorted)) (= (tptp.r2_hidden D C) (exists ((E $$unsorted)) (and (tptp.v1_relat_1 E) (tptp.v1_funct_1 E) (tptp.r2_hidden E B) (= D (tptp.k1_funct_1 E A)))))))) true (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k4_card_3 B))) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (=> (tptp.r2_hidden A (tptp.k1_relat_1 B)) (or (= _let_1 tptp.k1_xboole_0) (= (tptp.k5_card_3 A _let_1) (tptp.k1_funct_1 B A))))))) true (forall ((A $$unsorted)) (= (tptp.k5_card_3 A tptp.k1_xboole_0) tptp.k1_xboole_0)) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (= (tptp.k5_card_3 A (tptp.k1_tarski B)) (tptp.k1_tarski (tptp.k1_funct_1 B A))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (forall ((C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (= (tptp.k5_card_3 A (tptp.k2_tarski B C)) (tptp.k2_tarski (tptp.k1_funct_1 B A) (tptp.k1_funct_1 C A))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.k5_card_3 C (tptp.k2_xboole_0 A B)) (tptp.k2_xboole_0 (tptp.k5_card_3 C A) (tptp.k5_card_3 C B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (tptp.r1_tarski (tptp.k5_card_3 C (tptp.k3_xboole_0 A B)) (tptp.k3_xboole_0 (tptp.k5_card_3 C A) (tptp.k5_card_3 C B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (tptp.r1_tarski (tptp.k4_xboole_0 (tptp.k5_card_3 B A) (tptp.k5_card_3 B C)) (tptp.k5_card_3 B (tptp.k4_xboole_0 A C)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (tptp.r1_tarski (tptp.k5_xboole_0 (tptp.k5_card_3 B A) (tptp.k5_card_3 B C)) (tptp.k5_card_3 B (tptp.k5_xboole_0 A C)))) (forall ((A $$unsorted) (B $$unsorted)) (tptp.r1_tarski (tptp.k1_card_1 (tptp.k5_card_3 B A)) (tptp.k1_card_1 A))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (not (and (tptp.r2_hidden A (tptp.k3_card_3 (tptp.k2_card_3 B))) (forall ((C $$unsorted) (D $$unsorted)) (not (= A (tptp.k4_tarski C D)))))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k2_mcart_1 A))) (let ((_let_2 (tptp.k1_mcart_1 A))) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (= (tptp.r2_hidden A (tptp.k3_card_3 (tptp.k2_card_3 B))) (and (tptp.r2_hidden _let_1 (tptp.k1_relat_1 B)) (tptp.r2_hidden _let_2 (tptp.k1_funct_1 B _let_1)) (= A (tptp.k4_tarski _let_2 _let_1)))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (=> (tptp.r1_tarski A B) (tptp.r1_tarski (tptp.k2_card_3 A) (tptp.k2_card_3 B))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (=> (tptp.r1_tarski A B) (tptp.r1_tarski (tptp.k3_card_3 A) (tptp.k3_card_3 B))))))) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.k3_card_3 (tptp.k2_card_3 (tptp.k2_funcop_1 A B))) (tptp.k2_zfmisc_1 B A))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (= (= (tptp.k4_card_3 A) tptp.k1_xboole_0) (tptp.r2_hidden tptp.k1_xboole_0 (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)) (=> (and (= (tptp.k1_relat_1 A) (tptp.k1_relat_1 B)) (forall ((C $$unsorted)) (=> (tptp.r2_hidden C (tptp.k1_relat_1 A)) (tptp.r1_tarski (tptp.k1_funct_1 A C) (tptp.k1_funct_1 B C))))) (tptp.r1_tarski (tptp.k4_card_3 A) (tptp.k4_card_3 B))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_card_3 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k1_funct_1 A B))) (=> (tptp.r2_hidden B (tptp.k1_relat_1 A)) (= (tptp.k1_card_1 _let_1) _let_1)))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_card_3 A)) (forall ((B $$unsorted)) (=> (tptp.r2_hidden B (tptp.k1_relat_1 A)) (= (tptp.k1_card_1 (tptp.k1_funct_1 (tptp.k2_card_3 A) B)) (tptp.k1_funct_1 A B)))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_card_3 A)) (= (tptp.k6_card_3 A) (tptp.k1_card_1 (tptp.k3_card_3 (tptp.k2_card_3 A)))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_card_3 A)) (= (tptp.k7_card_3 A) (tptp.k1_card_1 (tptp.k4_card_3 A))))) true true (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_card_3 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (tptp.v1_card_3 B)) (=> (and (= (tptp.k1_relat_1 A) (tptp.k1_relat_1 B)) (forall ((C $$unsorted)) (=> (tptp.r2_hidden C (tptp.k1_relat_1 A)) (tptp.r1_tarski (tptp.k1_funct_1 A C) (tptp.k1_funct_1 B C))))) (tptp.r1_tarski (tptp.k6_card_3 A) (tptp.k6_card_3 B))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_card_3 A)) (= (tptp.r2_hidden tptp.k1_xboole_0 (tptp.k2_relat_1 A)) (= (tptp.k7_card_3 A) tptp.np__0)))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_card_3 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (tptp.v1_card_3 B)) (=> (and (= (tptp.k1_relat_1 A) (tptp.k1_relat_1 B)) (forall ((C $$unsorted)) (=> (tptp.r2_hidden C (tptp.k1_relat_1 A)) (tptp.r1_tarski (tptp.k1_funct_1 A C) (tptp.k1_funct_1 B C))))) (tptp.r1_tarski (tptp.k7_card_3 A) (tptp.k7_card_3 B))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_card_3 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (tptp.v1_card_3 B)) (=> (tptp.r1_tarski A B) (tptp.r1_tarski (tptp.k6_card_3 A) (tptp.k6_card_3 B))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_card_3 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (tptp.v1_card_3 B)) (=> (tptp.r1_tarski A B) (or (tptp.r2_hidden tptp.np__0 (tptp.k2_relat_1 B)) (tptp.r1_tarski (tptp.k7_card_3 A) (tptp.k7_card_3 B)))))))) (forall ((A $$unsorted)) (=> (tptp.v1_card_1 A) (= (tptp.k6_card_3 (tptp.k2_funcop_1 tptp.k1_xboole_0 A)) tptp.np__0))) (forall ((A $$unsorted)) (=> (tptp.v1_card_1 A) (= (tptp.k7_card_3 (tptp.k2_funcop_1 tptp.k1_xboole_0 A)) tptp.np__1))) (forall ((A $$unsorted)) (=> (tptp.v1_card_1 A) (forall ((B $$unsorted)) (= (tptp.k6_card_3 (tptp.k2_funcop_1 (tptp.k1_tarski B) A)) A)))) (forall ((A $$unsorted)) (=> (tptp.v1_card_1 A) (forall ((B $$unsorted)) (= (tptp.k7_card_3 (tptp.k2_funcop_1 (tptp.k1_tarski B) A)) A)))) (forall ((A $$unsorted)) (=> (tptp.v1_card_1 A) (forall ((B $$unsorted)) (=> (tptp.v1_card_1 B) (= (tptp.k6_card_3 (tptp.k2_funcop_1 A B)) (tptp.k2_card_2 A B)))))) (forall ((A $$unsorted)) (=> (tptp.v1_card_1 A) (forall ((B $$unsorted)) (=> (tptp.v1_card_1 B) (= (tptp.k7_card_3 (tptp.k2_funcop_1 A B)) (tptp.k3_card_2 B A)))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (tptp.r1_tarski (tptp.k1_card_1 (tptp.k3_card_3 A)) (tptp.k6_card_3 (tptp.k1_card_3 A))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_card_3 A)) (tptp.r1_tarski (tptp.k1_card_1 (tptp.k3_card_3 A)) (tptp.k6_card_3 A)))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_card_3 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (tptp.v1_card_3 B)) (=> (and (= (tptp.k1_relat_1 A) (tptp.k1_relat_1 B)) (forall ((C $$unsorted)) (=> (tptp.r2_hidden C (tptp.k1_relat_1 A)) (tptp.r2_hidden (tptp.k1_funct_1 A C) (tptp.k1_funct_1 B C))))) (tptp.r2_hidden (tptp.k6_card_3 A) (tptp.k7_card_3 B))))))) (forall ((A $$unsorted)) (=> (tptp.m2_subset_1 A tptp.k1_numbers tptp.k5_numbers) (tptp.v1_finset_1 (tptp.k4_classes1 A)))) (forall ((A $$unsorted)) (=> (tptp.v1_finset_1 A) (tptp.r2_hidden (tptp.k1_card_1 A) (tptp.k1_card_1 tptp.k5_ordinal2)))) (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (forall ((B $$unsorted)) (=> (tptp.v3_ordinal1 B) (=> (tptp.r2_hidden (tptp.k1_card_1 A) (tptp.k1_card_1 B)) (tptp.r2_hidden A B)))))) (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (forall ((B $$unsorted)) (=> (tptp.v1_card_1 B) (=> (tptp.r2_hidden (tptp.k1_card_1 A) B) (tptp.r2_hidden A B)))))) (forall ((A $$unsorted)) (not (and (tptp.v6_ordinal1 A) (forall ((B $$unsorted)) (not (and (tptp.r1_tarski B A) (= (tptp.k3_tarski B) (tptp.k3_tarski A)) (forall ((C $$unsorted)) (not (and (tptp.r1_tarski C B) (not (= C tptp.k1_xboole_0)) (forall ((D $$unsorted)) (not (and (tptp.r2_hidden D C) (forall ((E $$unsorted)) (=> (tptp.r2_hidden E C) (tptp.r1_tarski D E))))))))))))))) (forall ((A $$unsorted)) (=> (tptp.v1_card_1 A) (forall ((B $$unsorted)) (=> (and (forall ((C $$unsorted)) (=> (tptp.r2_hidden C B) (tptp.r2_hidden (tptp.k1_card_1 C) A))) (tptp.v6_ordinal1 B)) (tptp.r1_tarski (tptp.k1_card_1 (tptp.k3_tarski B)) A))))) (exists ((A $$unsorted)) (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_card_3 A) (= (tptp.k1_relat_1 A) tptp.f1_s1_card_3) (forall ((B $$unsorted)) (=> (tptp.r2_hidden B tptp.f1_s1_card_3) (= (tptp.k1_funct_1 A B) (tptp.f2_s1_card_3 B)))))) (=> (and (not (= tptp.f1_s2_card_3 tptp.k1_xboole_0)) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.p1_s2_card_3 A B) (tptp.p1_s2_card_3 B A)) (= A B))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.p1_s2_card_3 A B) (tptp.p1_s2_card_3 B C)) (tptp.p1_s2_card_3 A C)))) (exists ((A $$unsorted)) (and (tptp.r2_hidden A tptp.f1_s2_card_3) (forall ((B $$unsorted)) (not (and (tptp.r2_hidden B tptp.f1_s2_card_3) (not (= B A)) (tptp.p1_s2_card_3 B A))))))) (=> (and (not (= tptp.f1_s3_card_3 tptp.k1_xboole_0)) (forall ((A $$unsorted) (B $$unsorted)) (or (tptp.p1_s3_card_3 A B) (tptp.p1_s3_card_3 B A))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.p1_s3_card_3 A B) (tptp.p1_s3_card_3 B C)) (tptp.p1_s3_card_3 A C)))) (exists ((A $$unsorted)) (and (tptp.r2_hidden A tptp.f1_s3_card_3) (forall ((B $$unsorted)) (=> (tptp.r2_hidden B tptp.f1_s3_card_3) (tptp.p1_s3_card_3 A B)))))) (exists ((A $$unsorted)) (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (= (tptp.k1_relat_1 A) tptp.f1_s4_card_3) (forall ((B $$unsorted)) (=> (tptp.r2_hidden B tptp.f1_s4_card_3) (forall ((C $$unsorted)) (= (tptp.r2_hidden C (tptp.k1_funct_1 A B)) (and (tptp.r2_hidden C (tptp.f2_s4_card_3 B)) (tptp.p1_s4_card_3 B C)))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k1_card_3 A))) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (and (tptp.v1_relat_1 _let_1) (tptp.v1_funct_1 _let_1) (tptp.v1_card_3 _let_1))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k2_card_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))))) true true true (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_card_3 A)) (tptp.v1_card_1 (tptp.k6_card_3 A)))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_card_3 A)) (tptp.v1_card_1 (tptp.k7_card_3 A)))) (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 $$unsorted)) (let ((_let_1 (tptp.k1_classes1 A))) (=> (tptp.v1_ordinal1 A) (= (tptp.k4_classes1 (tptp.k1_card_1 _let_1)) _let_1)))) (forall ((A $$unsorted)) (= (tptp.v1_classes2 A) (and (tptp.v1_ordinal1 A) (tptp.v2_classes1 A)))) 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 $$unsorted)) (=> (and (not (tptp.v1_xboole_0 C)) (tptp.v1_classes2 C)) (=> (and (tptp.r2_hidden A C) (tptp.r2_hidden B C)) (and (tptp.r2_hidden (tptp.k2_zfmisc_1 A B) C) (tptp.r2_hidden (tptp.k1_funct_2 A B) C))))) (= tptp.k13_classes2 (tptp.k1_classes1 tptp.k1_xboole_0)) true (= (tptp.k1_card_1 _let_84) _let_85) (tptp.v2_classes1 _let_84) (= tptp.k13_classes2 _let_84) (= tptp.k14_classes2 (tptp.k1_classes1 tptp.k13_classes2)) (forall ((A $$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 $$unsorted)) (let ((_let_1 (tptp.k15_classes2 A))) (and (not (tptp.v1_xboole_0 _let_1)) (tptp.v1_classes2 _let_1)))) true (= (tptp.k2_finseq_1 tptp.np__3) (tptp.k1_enumset1 tptp.np__1 tptp.np__2 tptp.np__3)) (= (tptp.k2_finseq_1 tptp.np__4) (tptp.k2_enumset1 tptp.np__1 tptp.np__2 tptp.np__3 tptp.np__4)) (= (tptp.k2_finseq_1 tptp.np__5) (tptp.k3_enumset1 tptp.np__1 tptp.np__2 tptp.np__3 tptp.np__4 tptp.np__5)) (= (tptp.k2_finseq_1 tptp.np__6) (tptp.k4_enumset1 tptp.np__1 tptp.np__2 tptp.np__3 tptp.np__4 tptp.np__5 tptp.np__6)) (= (tptp.k2_finseq_1 tptp.np__7) (tptp.k5_enumset1 tptp.np__1 tptp.np__2 tptp.np__3 tptp.np__4 tptp.np__5 tptp.np__6 tptp.np__7)) (= (tptp.k2_finseq_1 tptp.np__8) (tptp.k6_enumset1 tptp.np__1 tptp.np__2 tptp.np__3 tptp.np__4 tptp.np__5 tptp.np__6 tptp.np__7 tptp.np__8)) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k2_finseq_1 A))) (=> (tptp.v4_ordinal2 A) (= (= _let_1 tptp.k1_xboole_0) (not (tptp.r2_hidden A _let_1)))))) true (forall ((A $$unsorted)) (=> (tptp.v4_ordinal2 A) (not (tptp.r2_hidden (tptp.k2_xcmplx_0 A tptp.np__1) (tptp.k2_finseq_1 A))))) (forall ((A $$unsorted)) (=> (tptp.v4_ordinal2 A) (forall ((B $$unsorted)) (=> (tptp.v4_ordinal2 B) (=> (not (= A tptp.np__0)) (tptp.r2_hidden A (tptp.k2_finseq_1 (tptp.k2_xcmplx_0 A B)))))))) (forall ((A $$unsorted)) (=> (tptp.v4_ordinal2 A) (forall ((B $$unsorted)) (=> (tptp.v4_ordinal2 B) (=> (tptp.r2_hidden (tptp.k2_xcmplx_0 A B) (tptp.k2_finseq_1 A)) (= B tptp.np__0)))))) (forall ((A $$unsorted)) (=> (tptp.v4_ordinal2 A) (forall ((B $$unsorted)) (=> (tptp.v4_ordinal2 B) (=> (not (tptp.r1_xreal_0 B A)) (tptp.r2_hidden (tptp.k2_xcmplx_0 A tptp.np__1) (tptp.k2_finseq_1 B))))))) (forall ((A $$unsorted)) (=> (tptp.v4_ordinal2 A) (forall ((B $$unsorted)) (=> (tptp.v4_ordinal2 B) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k2_finseq_1 B))) (=> (tptp.v4_ordinal2 C) (=> (tptp.r2_hidden A _let_1) (or (tptp.r1_xreal_0 A C) (tptp.r2_hidden (tptp.k6_xcmplx_0 A C) _let_1)))))))))) (forall ((A $$unsorted)) (=> (tptp.v4_ordinal2 A) (forall ((B $$unsorted)) (=> (tptp.v4_ordinal2 B) (= (tptp.r2_hidden (tptp.k6_xcmplx_0 A B) (tptp.k2_finseq_1 A)) (not (tptp.r1_xreal_0 A B))))))) (forall ((A $$unsorted)) (=> (tptp.v4_ordinal2 A) (tptp.r1_xboole_0 (tptp.k2_finseq_1 A) (tptp.k1_tarski (tptp.k2_xcmplx_0 A tptp.np__1))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k2_xcmplx_0 A tptp.np__1))) (=> (tptp.v4_ordinal2 A) (= (tptp.k6_subset_1 tptp.k5_numbers (tptp.k2_finseq_1 _let_1) (tptp.k2_finseq_1 A)) (tptp.k1_tarski _let_1))))) (forall ((A $$unsorted)) (=> (tptp.v4_ordinal2 A) (not (= (tptp.k2_finseq_1 A) (tptp.k2_finseq_1 (tptp.k2_xcmplx_0 A tptp.np__1)))))) (forall ((A $$unsorted)) (=> (tptp.v4_ordinal2 A) (forall ((B $$unsorted)) (=> (tptp.v4_ordinal2 B) (=> (= (tptp.k2_finseq_1 A) (tptp.k2_finseq_1 (tptp.k2_xcmplx_0 A B))) (= B tptp.np__0)))))) (forall ((A $$unsorted)) (=> (tptp.v4_ordinal2 A) (forall ((B $$unsorted)) (=> (tptp.v4_ordinal2 B) (tptp.r1_tarski (tptp.k2_finseq_1 A) (tptp.k2_finseq_1 (tptp.k2_xcmplx_0 A B))))))) (forall ((A $$unsorted)) (=> (tptp.v4_ordinal2 A) (forall ((B $$unsorted)) (=> (tptp.v4_ordinal2 B) (tptp.r3_xboole_0 (tptp.k2_finseq_1 A) (tptp.k2_finseq_1 B)))))) true (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.v4_ordinal2 B) (=> (= (tptp.k2_finseq_1 B) (tptp.k1_tarski A)) (and (= B tptp.np__1) (= A tptp.np__1))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k2_tarski A B))) (=> (tptp.v4_ordinal2 C) (=> (= (tptp.k2_finseq_1 C) _let_1) (or (= A B) (and (= C tptp.np__2) (= _let_1 (tptp.k2_tarski tptp.np__1 tptp.np__2)))))))) (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 $$unsorted)) (=> (tptp.r2_hidden C (tptp.k4_finseq_1 A)) (tptp.r2_hidden C (tptp.k4_finseq_1 (tptp.k7_finseq_1 A B))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_finseq_1 A)) (forall ((B $$unsorted)) (=> (tptp.r2_hidden B (tptp.k4_finseq_1 A)) (tptp.m2_subset_1 B tptp.k1_numbers tptp.k5_numbers))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_finseq_1 A)) (forall ((B $$unsorted)) (not (and (tptp.r2_hidden B (tptp.k4_finseq_1 A)) (= B tptp.np__0)))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_finseq_1 A)) (forall ((B $$unsorted)) (=> (tptp.v4_ordinal2 B) (= (tptp.r2_hidden B (tptp.k4_finseq_1 A)) (and (tptp.r1_xreal_0 tptp.np__1 B) (tptp.r1_xreal_0 B (tptp.k3_finseq_1 A)))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_finseq_1 A)) (forall ((B $$unsorted)) (=> (tptp.v4_ordinal2 B) (= (tptp.r2_hidden B (tptp.k4_finseq_1 A)) (and (tptp.m2_subset_1 (tptp.k6_xcmplx_0 B tptp.np__1) tptp.k1_numbers tptp.k5_numbers) (tptp.m2_subset_1 (tptp.k6_xcmplx_0 (tptp.k3_finseq_1 A) B) tptp.k1_numbers tptp.k5_numbers))))))) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.k4_finseq_1 (tptp.k10_finseq_1 A B)) (tptp.k2_finseq_1 tptp.np__2))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.k4_finseq_1 (tptp.k11_finseq_1 A B C)) (tptp.k2_finseq_1 tptp.np__3))) (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 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_xreal_0 (tptp.k3_finseq_1 A) (tptp.k3_finseq_1 B)) (tptp.r1_tarski (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)) (=> (tptp.r2_hidden B (tptp.k2_relat_1 A)) (tptp.r2_hidden tptp.np__1 (tptp.k4_finseq_1 A)))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_finseq_1 A)) (=> (not (= (tptp.k2_relat_1 A) tptp.k1_xboole_0)) (tptp.r2_hidden tptp.np__1 (tptp.k4_finseq_1 A))))) true true true (forall ((A $$unsorted) (B $$unsorted)) (not (= tptp.k1_xboole_0 (tptp.k10_finseq_1 A B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (not (= tptp.k1_xboole_0 (tptp.k11_finseq_1 A B C)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (not (= (tptp.k9_finseq_1 A) (tptp.k10_finseq_1 B C)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (not (= (tptp.k9_finseq_1 A) (tptp.k11_finseq_1 B C D)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (not (= (tptp.k10_finseq_1 A B) (tptp.k11_finseq_1 C D E)))) (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 $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C) (tptp.v1_finseq_1 C)) (=> (and (= (tptp.k3_finseq_1 A) (tptp.k1_nat_1 (tptp.k3_finseq_1 B) (tptp.k3_finseq_1 C))) (forall ((D $$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 A D) (tptp.k1_funct_1 B D))))) (forall ((D $$unsorted)) (=> (tptp.m2_subset_1 D tptp.k1_numbers tptp.k5_numbers) (=> (tptp.r2_hidden D (tptp.k4_finseq_1 C)) (= (tptp.k1_funct_1 A (tptp.k1_nat_1 (tptp.k3_finseq_1 B) D)) (tptp.k1_funct_1 C D)))))) (= A (tptp.k7_finseq_1 B C))))))))) (forall ((A $$unsorted)) (=> (tptp.v4_ordinal2 A) (forall ((B $$unsorted)) (=> (tptp.v1_finset_1 B) (=> (tptp.r1_tarski B (tptp.k2_finseq_1 A)) (= (tptp.k3_finseq_1 (tptp.k14_finseq_1 B)) (tptp.k4_card_1 B))))))) (forall ((A $$unsorted)) (=> (tptp.v4_ordinal2 A) (forall ((B $$unsorted)) (=> (tptp.v1_finset_1 B) (=> (tptp.r1_tarski B (tptp.k2_finseq_1 A)) (= (tptp.k4_finseq_1 (tptp.k14_finseq_1 B)) (tptp.k2_finseq_1 (tptp.k4_card_1 B)))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.v4_ordinal2 B) (forall ((C $$unsorted)) (=> (tptp.v4_ordinal2 C) (forall ((D $$unsorted)) (=> (tptp.v4_ordinal2 D) (forall ((E $$unsorted)) (=> (tptp.v4_ordinal2 E) (forall ((F $$unsorted)) (let ((_let_1 (tptp.k14_finseq_1 A))) (=> (tptp.v4_ordinal2 F) (not (and (tptp.r1_tarski A (tptp.k2_finseq_1 B)) (not (tptp.r1_xreal_0 D C)) (tptp.r1_xreal_0 tptp.np__1 E) (tptp.r1_xreal_0 F (tptp.k3_finseq_1 _let_1)) (= (tptp.k1_funct_1 _let_1 F) C) (= (tptp.k1_funct_1 _let_1 E) D) (tptp.r1_xreal_0 E F)))))))))))))) true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.v4_ordinal2 C) (forall ((D $$unsorted)) (=> (tptp.v4_ordinal2 D) (=> (and (tptp.r1_tarski A (tptp.k2_finseq_1 C)) (tptp.r1_tarski B (tptp.k2_finseq_1 D))) (= (forall ((E $$unsorted)) (=> (tptp.m2_subset_1 E tptp.k1_numbers tptp.k5_numbers) (forall ((F $$unsorted)) (=> (tptp.m2_subset_1 F tptp.k1_numbers tptp.k5_numbers) (not (and (tptp.r2_hidden E A) (tptp.r2_hidden F B) (tptp.r1_xreal_0 F E))))))) (= (tptp.k14_finseq_1 (tptp.k2_xboole_0 A B)) (tptp.k8_finseq_1 tptp.k5_numbers (tptp.k14_finseq_1 A) (tptp.k14_finseq_1 B))))))))) (= (tptp.k14_finseq_1 tptp.k1_xboole_0) tptp.k1_xboole_0) (forall ((A $$unsorted)) (=> (tptp.v4_ordinal2 A) (=> (not (= tptp.np__0 A)) (= (tptp.k14_finseq_1 (tptp.k1_tarski A)) (tptp.k9_finseq_1 A))))) (forall ((A $$unsorted)) (=> (tptp.v4_ordinal2 A) (forall ((B $$unsorted)) (=> (tptp.v4_ordinal2 B) (not (and (not (tptp.r1_xreal_0 A tptp.np__0)) (not (tptp.r1_xreal_0 B A)) (not (= (tptp.k14_finseq_1 (tptp.k2_tarski A B)) (tptp.k10_finseq_1 A B))))))))) (forall ((A $$unsorted)) (=> (tptp.v4_ordinal2 A) (= (tptp.k3_finseq_1 (tptp.k14_finseq_1 (tptp.k2_finseq_1 A))) A))) (forall ((A $$unsorted)) (=> (tptp.v4_ordinal2 A) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k2_finseq_1 A))) (=> (tptp.v4_ordinal2 B) (= (tptp.k7_relat_1 (tptp.k14_finseq_1 (tptp.k2_finseq_1 (tptp.k2_xcmplx_0 A B))) _let_1) (tptp.k14_finseq_1 _let_1))))))) (forall ((A $$unsorted)) (=> (tptp.v4_ordinal2 A) (= (tptp.k14_finseq_1 (tptp.k2_finseq_1 A)) (tptp.k1_finseq_2 A)))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_finseq_1 A)) (forall ((B $$unsorted)) (=> (tptp.v4_ordinal2 B) (= (= (tptp.k7_relat_1 A (tptp.k2_finseq_1 B)) A) (tptp.r1_xreal_0 (tptp.k3_finseq_1 A) B)))))) (forall ((A $$unsorted)) (=> (tptp.v4_ordinal2 A) (forall ((B $$unsorted)) (=> (tptp.v4_ordinal2 B) (= (tptp.k7_relat_1 (tptp.k1_finseq_2 (tptp.k2_xcmplx_0 A B)) (tptp.k2_finseq_1 A)) (tptp.k1_finseq_2 A)))))) (forall ((A $$unsorted)) (=> (tptp.v4_ordinal2 A) (forall ((B $$unsorted)) (=> (tptp.v4_ordinal2 B) (= (= (tptp.k7_relat_1 (tptp.k1_finseq_2 A) (tptp.k2_finseq_1 B)) (tptp.k1_finseq_2 B)) (tptp.r1_xreal_0 B A)))))) (forall ((A $$unsorted)) (=> (tptp.v4_ordinal2 A) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k1_finseq_2 A))) (=> (tptp.v4_ordinal2 B) (= (= (tptp.k7_relat_1 _let_1 (tptp.k2_finseq_1 B)) _let_1) (tptp.r1_xreal_0 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)) (forall ((C $$unsorted)) (=> (tptp.v4_ordinal2 C) (forall ((D $$unsorted)) (=> (tptp.v4_ordinal2 D) (=> (and (= (tptp.k3_finseq_1 A) (tptp.k2_xcmplx_0 C D)) (= B (tptp.k7_relat_1 A (tptp.k2_finseq_1 C)))) (= (tptp.k3_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 $$unsorted)) (=> (tptp.v4_ordinal2 C) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k2_finseq_1 C))) (=> (tptp.v4_ordinal2 D) (=> (and (= (tptp.k3_finseq_1 A) (tptp.k2_xcmplx_0 C D)) (= B (tptp.k7_relat_1 A _let_1))) (= (tptp.k4_finseq_1 B) _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 $$unsorted)) (let ((_let_1 (tptp.k2_xcmplx_0 C tptp.np__1))) (=> (tptp.v4_ordinal2 C) (=> (and (= (tptp.k3_finseq_1 A) _let_1) (= B (tptp.k7_relat_1 A (tptp.k2_finseq_1 C)))) (= A (tptp.k7_finseq_1 B (tptp.k9_finseq_1 (tptp.k1_funct_1 A _let_1)))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_finseq_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k7_relat_1 A B))) (= (and (tptp.v1_relat_1 _let_1) (tptp.v1_funct_1 _let_1) (tptp.v1_finseq_1 _let_1)) (exists ((C $$unsorted)) (and (tptp.m2_subset_1 C tptp.k1_numbers tptp.k5_numbers) (= (tptp.k3_xboole_0 B (tptp.k4_finseq_1 A)) (tptp.k2_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 $$unsorted)) (= (tptp.k4_card_1 (tptp.k10_relat_1 (tptp.k7_finseq_1 A B) C)) (tptp.k1_nat_1 (tptp.k4_card_1 (tptp.k10_relat_1 A C)) (tptp.k4_card_1 (tptp.k10_relat_1 B C))))))))) (forall ((A $$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)) (tptp.r1_tarski (tptp.k10_relat_1 A C) (tptp.k10_relat_1 (tptp.k7_finseq_1 A B) C))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_finseq_1 A)) (forall ((B $$unsorted)) (= (tptp.k1_finseq_3 A B) (tptp.k5_relat_1 (tptp.k14_finseq_1 (tptp.k4_xboole_0 (tptp.k4_finseq_1 A) (tptp.k10_relat_1 A B))) A))))) true (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_finseq_1 A)) (forall ((B $$unsorted)) (= (tptp.k3_finseq_1 (tptp.k1_finseq_3 A B)) (tptp.k6_xcmplx_0 (tptp.k3_finseq_1 A) (tptp.k4_card_1 (tptp.k10_relat_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)) (tptp.r1_xreal_0 (tptp.k3_finseq_1 (tptp.k1_finseq_3 A B)) (tptp.k3_finseq_1 A))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_finseq_1 A)) (forall ((B $$unsorted)) (=> (= (tptp.k3_finseq_1 (tptp.k1_finseq_3 A B)) (tptp.k3_finseq_1 A)) (tptp.r1_xboole_0 B (tptp.k2_relat_1 A)))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_finseq_1 A)) (forall ((B $$unsorted) (C $$unsorted)) (=> (tptp.v4_ordinal2 C) (=> (= C (tptp.k6_xcmplx_0 (tptp.k3_finseq_1 A) (tptp.k4_card_1 (tptp.k10_relat_1 A B)))) (= (tptp.k4_finseq_1 (tptp.k1_finseq_3 A B)) (tptp.k2_finseq_1 C))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_finseq_1 A)) (forall ((B $$unsorted)) (tptp.r1_tarski (tptp.k4_finseq_1 (tptp.k1_finseq_3 A B)) (tptp.k4_finseq_1 A))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_finseq_1 A)) (forall ((B $$unsorted)) (=> (= (tptp.k4_finseq_1 (tptp.k1_finseq_3 A B)) (tptp.k4_finseq_1 A)) (tptp.r1_xboole_0 B (tptp.k2_relat_1 A)))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_finseq_1 A)) (forall ((B $$unsorted)) (= (tptp.k2_relat_1 (tptp.k1_finseq_3 A B)) (tptp.k4_xboole_0 (tptp.k2_relat_1 A) B))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_finseq_1 A)) (forall ((B $$unsorted)) (tptp.r1_tarski (tptp.k2_relat_1 (tptp.k1_finseq_3 A B)) (tptp.k2_relat_1 A))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_finseq_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k2_relat_1 A))) (=> (= (tptp.k2_relat_1 (tptp.k1_finseq_3 A B)) _let_1) (tptp.r1_xboole_0 B _let_1)))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_finseq_1 A)) (forall ((B $$unsorted)) (= (= (tptp.k1_finseq_3 A B) tptp.k1_xboole_0) (tptp.r1_tarski (tptp.k2_relat_1 A) B))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_finseq_1 A)) (forall ((B $$unsorted)) (= (= (tptp.k1_finseq_3 A B) A) (tptp.r1_xboole_0 B (tptp.k2_relat_1 A)))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_finseq_1 A)) (forall ((B $$unsorted)) (= (= (tptp.k1_finseq_3 A (tptp.k1_tarski B)) A) (not (tptp.r2_hidden B (tptp.k2_relat_1 A))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_finseq_1 A)) (= (tptp.k1_finseq_3 A tptp.k1_xboole_0) A))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_finseq_1 A)) (= (tptp.k1_finseq_3 A (tptp.k2_relat_1 A)) tptp.k1_xboole_0))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_finseq_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (tptp.v1_finseq_1 B)) (forall ((C $$unsorted)) (= (tptp.k1_finseq_3 (tptp.k7_finseq_1 A B) C) (tptp.k7_finseq_1 (tptp.k1_finseq_3 A C) (tptp.k1_finseq_3 B C)))))))) (forall ((A $$unsorted)) (= (tptp.k1_finseq_3 tptp.k1_xboole_0 A) tptp.k1_xboole_0)) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k9_finseq_1 A))) (= (= (tptp.k1_finseq_3 _let_1 B) _let_1) (not (tptp.r2_hidden A B))))) (forall ((A $$unsorted) (B $$unsorted)) (= (= (tptp.k1_finseq_3 (tptp.k9_finseq_1 A) B) tptp.k1_xboole_0) (tptp.r2_hidden A B))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (= (tptp.k1_finseq_3 (tptp.k10_finseq_1 A B) C) tptp.k1_xboole_0) (and (tptp.r2_hidden A C) (tptp.r2_hidden B C)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.r2_hidden A B) (or (tptp.r2_hidden C B) (= (tptp.k1_finseq_3 (tptp.k10_finseq_1 A C) B) (tptp.k9_finseq_1 C))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (= (tptp.k1_finseq_3 (tptp.k10_finseq_1 A B) C) (tptp.k9_finseq_1 B)) (or (= A B) (and (tptp.r2_hidden A C) (not (tptp.r2_hidden B C)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.r2_hidden C B) (or (tptp.r2_hidden A B) (= (tptp.k1_finseq_3 (tptp.k10_finseq_1 A C) B) (tptp.k9_finseq_1 A))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (= (tptp.k1_finseq_3 (tptp.k10_finseq_1 A B) C) (tptp.k9_finseq_1 A)) (or (= A B) (and (not (tptp.r2_hidden A C)) (tptp.r2_hidden B C))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k10_finseq_1 A B))) (= (= (tptp.k1_finseq_3 _let_1 C) _let_1) (and (not (tptp.r2_hidden A C)) (not (tptp.r2_hidden B C)))))) (forall ((A $$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) (D $$unsorted)) (let ((_let_1 (tptp.k2_xcmplx_0 D tptp.np__1))) (=> (tptp.v4_ordinal2 D) (=> (and (= (tptp.k3_finseq_1 A) _let_1) (= B (tptp.k7_relat_1 A (tptp.k2_finseq_1 D)))) (= (tptp.r2_hidden (tptp.k1_funct_1 A _let_1) C) (= (tptp.k1_finseq_3 A C) (tptp.k1_finseq_3 B C))))))))))) (forall ((A $$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) (D $$unsorted)) (let ((_let_1 (tptp.k2_xcmplx_0 D tptp.np__1))) (let ((_let_2 (tptp.k1_funct_1 A _let_1))) (=> (tptp.v4_ordinal2 D) (=> (and (= (tptp.k3_finseq_1 A) _let_1) (= B (tptp.k7_relat_1 A (tptp.k2_finseq_1 D)))) (= (not (tptp.r2_hidden _let_2 C)) (= (tptp.k1_finseq_3 A C) (tptp.k7_finseq_1 (tptp.k1_finseq_3 B C) (tptp.k9_finseq_1 _let_2))))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_finseq_1 A)) (forall ((B $$unsorted) (C $$unsorted)) (=> (tptp.m2_finseq_1 A B) (tptp.m2_finseq_1 (tptp.k1_finseq_3 A C) B))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_finseq_1 A)) (forall ((B $$unsorted)) (=> (tptp.v2_funct_1 A) (tptp.v2_funct_1 (tptp.k1_finseq_3 A B)))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_finseq_1 A)) (forall ((B $$unsorted)) (=> (tptp.v2_funct_1 A) (= (tptp.k3_finseq_1 (tptp.k1_finseq_3 A B)) (tptp.k6_xcmplx_0 (tptp.k3_finseq_1 A) (tptp.k4_card_1 (tptp.k3_xboole_0 B (tptp.k2_relat_1 A))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_finseq_1 A)) (forall ((B $$unsorted)) (=> (tptp.v1_finset_1 B) (=> (and (tptp.v2_funct_1 A) (tptp.r1_tarski B (tptp.k2_relat_1 A))) (= (tptp.k3_finseq_1 (tptp.k1_finseq_3 A B)) (tptp.k6_xcmplx_0 (tptp.k3_finseq_1 A) (tptp.k4_card_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.v2_funct_1 A) (tptp.r2_hidden B (tptp.k2_relat_1 A))) (= (tptp.k3_finseq_1 (tptp.k1_finseq_3 A (tptp.k1_tarski B))) (tptp.k6_xcmplx_0 (tptp.k3_finseq_1 A) tptp.np__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)) (= (and (tptp.r1_xboole_0 (tptp.k2_relat_1 A) (tptp.k2_relat_1 B)) (tptp.v2_funct_1 A) (tptp.v2_funct_1 B)) (tptp.v2_funct_1 (tptp.k7_finseq_1 A B))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.v4_ordinal2 B) (=> (tptp.r1_tarski A (tptp.k2_finseq_1 B)) (tptp.v2_funct_1 (tptp.k14_finseq_1 A))))) (forall ((A $$unsorted)) (=> (tptp.v4_ordinal2 A) (tptp.v2_funct_1 (tptp.k1_finseq_2 A)))) true (forall ((A $$unsorted)) (tptp.v2_funct_1 (tptp.k9_finseq_1 A))) (forall ((A $$unsorted) (B $$unsorted)) (= (not (= A B)) (tptp.v2_funct_1 (tptp.k10_finseq_1 A B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (and (not (= A B)) (not (= B C)) (not (= C A))) (tptp.v2_funct_1 (tptp.k11_finseq_1 A B C)))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_finseq_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v2_funct_1 A) (= (tptp.k2_relat_1 A) (tptp.k1_tarski B))) (= (tptp.k3_finseq_1 A) tptp.np__1))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_finseq_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v2_funct_1 A) (= (tptp.k2_relat_1 A) (tptp.k1_tarski B))) (= A (tptp.k9_finseq_1 B)))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_finseq_1 A)) (forall ((B $$unsorted) (C $$unsorted)) (=> (and (tptp.v2_funct_1 A) (= (tptp.k2_relat_1 A) (tptp.k2_tarski B C))) (or (= B C) (= (tptp.k3_finseq_1 A) tptp.np__2)))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_finseq_1 A)) (forall ((B $$unsorted) (C $$unsorted)) (not (and (tptp.v2_funct_1 A) (= (tptp.k2_relat_1 A) (tptp.k2_tarski B C)) (not (= B C)) (not (= A (tptp.k10_finseq_1 B C))) (not (= A (tptp.k10_finseq_1 C B)))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_finseq_1 A)) (forall ((B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.v2_funct_1 A) (= (tptp.k2_relat_1 A) (tptp.k1_enumset1 B C D)) (tptp.v2_funct_1 (tptp.k11_finseq_1 B C D))) (= (tptp.k3_finseq_1 A) tptp.np__3))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_finseq_1 A)) (forall ((B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.v2_funct_1 A) (= (tptp.k2_relat_1 A) (tptp.k1_enumset1 B C D))) (or (= B C) (= C D) (= B D) (= (tptp.k3_finseq_1 A) tptp.np__3)))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (tptp.m2_finseq_1 B A) (not (and (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C A) (forall ((D $$unsorted)) (=> (tptp.m2_finseq_1 D A) (not (and (= C (tptp.k1_funct_1 B tptp.np__1)) (= B (tptp.k8_finseq_1 A (tptp.k12_finseq_1 A C) D)))))))))))))) (forall ((A $$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)) (=> (tptp.r2_hidden A (tptp.k4_finseq_1 B)) (= (tptp.k1_funct_1 (tptp.k7_finseq_1 (tptp.k9_finseq_1 C) B) (tptp.k2_xcmplx_0 A tptp.np__1)) (tptp.k1_funct_1 B A)))))))) (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)) (= (tptp.k2_finseq_3 A B) (tptp.k5_relat_1 (tptp.k14_finseq_1 (tptp.k4_xboole_0 (tptp.k4_finseq_1 B) (tptp.k1_tarski A))) B)))))) (forall ((A $$unsorted)) (=> (tptp.v4_ordinal2 A) (forall ((B $$unsorted)) (let ((_let_1 (tptp.r2_hidden A (tptp.k4_finseq_1 B)))) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (tptp.v1_finseq_1 B)) (and (not (and _let_1 (forall ((C $$unsorted)) (=> (tptp.m2_subset_1 C tptp.k1_numbers tptp.k5_numbers) (not (and (= (tptp.k3_finseq_1 B) (tptp.k1_nat_1 C tptp.np__1)) (= (tptp.k3_finseq_1 (tptp.k2_finseq_3 A B)) C))))))) (=> (not _let_1) (= (tptp.k2_finseq_3 A B) B)))))))) (forall ((A $$unsorted)) (=> (tptp.v4_ordinal2 A) (forall ((B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (=> (tptp.m2_finseq_1 C B) (tptp.m2_finseq_1 (tptp.k2_finseq_3 A C) B))))))) (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)) (tptp.r1_tarski (tptp.k2_relat_1 (tptp.k2_finseq_3 A B)) (tptp.k2_relat_1 B)))))) (forall ((A $$unsorted)) (=> (tptp.v4_ordinal2 A) (forall ((B $$unsorted)) (=> (tptp.v4_ordinal2 B) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k2_finseq_1 A))) (=> (tptp.v4_ordinal2 C) (=> (and (= A (tptp.k2_xcmplx_0 B tptp.np__1)) (tptp.r2_hidden C _let_1)) (= (tptp.k3_finseq_1 (tptp.k14_finseq_1 (tptp.k4_xboole_0 _let_1 (tptp.k1_tarski C)))) B))))))))) (forall ((A $$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)) (=> (tptp.m2_subset_1 C tptp.k1_numbers tptp.k5_numbers) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k2_finseq_1 D))) (let ((_let_2 (tptp.k1_funct_1 (tptp.k14_finseq_1 (tptp.k4_xboole_0 _let_1 (tptp.k1_tarski B))) A))) (let ((_let_3 (tptp.r1_xreal_0 B A))) (=> (tptp.m2_subset_1 D tptp.k1_numbers tptp.k5_numbers) (=> (and (= D (tptp.k1_nat_1 C tptp.np__1)) (tptp.r2_hidden B _let_1) (tptp.r2_hidden A (tptp.k2_finseq_1 C))) (and (=> (tptp.r1_xreal_0 tptp.np__1 A) (or _let_3 (= _let_2 A))) (=> (and _let_3 (tptp.r1_xreal_0 A C)) (= _let_2 (tptp.k1_nat_1 A tptp.np__1)))))))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_finseq_1 A)) (forall ((B $$unsorted)) (=> (tptp.v4_ordinal2 B) (forall ((C $$unsorted)) (=> (tptp.v4_ordinal2 C) (=> (and (= (tptp.k3_finseq_1 A) (tptp.k2_xcmplx_0 C tptp.np__1)) (tptp.r2_hidden B (tptp.k4_finseq_1 A))) (= (tptp.k3_finseq_1 (tptp.k2_finseq_3 B A)) C)))))))) (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) (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.k3_finseq_1 A) (tptp.k1_nat_1 C tptp.np__1)) (or (tptp.r1_xreal_0 B D) (= (tptp.k1_funct_1 (tptp.k2_finseq_3 B A) D) (tptp.k1_funct_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)) (=> (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) (=> (and (= (tptp.k3_finseq_1 A) (tptp.k1_nat_1 C tptp.np__1)) (tptp.r2_hidden B (tptp.k4_finseq_1 A)) (tptp.r1_xreal_0 B D) (tptp.r1_xreal_0 D C)) (= (tptp.k1_funct_1 (tptp.k2_finseq_3 B A) D) (tptp.k1_funct_1 A (tptp.k1_nat_1 D tptp.np__1)))))))))))) (forall ((A $$unsorted)) (=> (tptp.v4_ordinal2 A) (forall ((B $$unsorted) (C $$unsorted)) (=> (tptp.m2_finseq_1 C B) (forall ((D $$unsorted)) (=> (tptp.m2_subset_1 D tptp.k1_numbers tptp.k5_numbers) (=> (tptp.r1_xreal_0 D A) (= (tptp.k1_funct_1 (tptp.k16_finseq_1 B C A) D) (tptp.k1_funct_1 C D))))))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k1_finseq_3 A B))) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_finseq_1 A)) (and (tptp.v1_relat_1 _let_1) (tptp.v1_funct_1 _let_1) (tptp.v1_finseq_1 _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k2_finseq_3 A B))) (=> (and (tptp.v4_ordinal2 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 $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_finseq_1 A)) (forall ((B $$unsorted) (C $$unsorted)) (=> (tptp.v4_ordinal2 C) (=> (tptp.r2_hidden C (tptp.k4_finseq_1 A)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k1_funct_1 A C))) (=> (tptp.v1_finset_1 D) (not (and (= D (tptp.a_3_0_finseq_3 A B C)) (not (tptp.r2_hidden _let_1 B)) (not (= (tptp.k1_funct_1 (tptp.k1_finseq_3 A B) (tptp.k6_xcmplx_0 C (tptp.k4_card_1 D))) _let_1)))))))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (tptp.v1_finseq_1 B) (tptp.v4_ordinal2 D)) (= (tptp.r2_hidden A (tptp.a_3_0_finseq_3 B C D)) (exists ((E $$unsorted)) (and (tptp.m2_subset_1 E tptp.k1_numbers tptp.k5_numbers) (= A E) (tptp.r2_hidden E (tptp.k4_finseq_1 B)) (tptp.r1_xreal_0 E D) (tptp.r2_hidden (tptp.k1_funct_1 B E) C)))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 tptp.k9_zf_lang)) (= (tptp.r1_zfrefle1 A B) (forall ((C $$unsorted)) (=> (and (tptp.v1_zf_lang C) (tptp.m2_finseq_1 C tptp.k5_numbers)) (=> (tptp.r2_hidden C B) (tptp.r2_zf_model A C))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (= (tptp.r2_zfrefle1 A B) (forall ((C $$unsorted)) (=> (and (tptp.v1_zf_lang C) (tptp.m2_finseq_1 C tptp.k5_numbers)) (=> (= (tptp.k2_zf_model C) tptp.k1_xboole_0) (= (tptp.r2_zf_model A C) (tptp.r2_zf_model B C)))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (= (tptp.r3_zfrefle1 A B) (and (tptp.r1_tarski A B) (forall ((C $$unsorted)) (=> (and (tptp.v1_zf_lang C) (tptp.m2_finseq_1 C tptp.k5_numbers)) (forall ((D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D tptp.k1_zf_lang A) (tptp.m2_relset_1 D tptp.k1_zf_lang A)) (= (tptp.r1_zf_model A D C) (tptp.r1_zf_model B (tptp.k2_zf_lang1 tptp.k1_zf_lang A B D) C)))))))))))) (forall ((A $$unsorted)) (= (= A tptp.k1_zfrefle1) (forall ((B $$unsorted)) (= (tptp.r2_hidden B A) (and (tptp.r2_hidden B tptp.k9_zf_lang) (not (and (not (= B tptp.k6_zf_model)) (not (= B tptp.k7_zf_model)) (not (= B tptp.k8_zf_model)) (not (= B tptp.k9_zf_model)) (not (= B tptp.k10_zf_model)) (forall ((C $$unsorted)) (=> (and (tptp.v1_zf_lang C) (tptp.m2_finseq_1 C tptp.k5_numbers)) (not (and (tptp.r1_xboole_0 (tptp.k1_enumset1 (tptp.k2_zf_lang tptp.np__0) (tptp.k2_zf_lang tptp.np__1) (tptp.k2_zf_lang tptp.np__2)) (tptp.k2_zf_model C)) (= B (tptp.k11_zf_model C))))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (tptp.r1_zfrefle1 A (tptp.k1_subset_1 tptp.k9_zf_lang)))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 tptp.k9_zf_lang)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 tptp.k9_zf_lang)) (=> (and (tptp.r1_tarski B C) (tptp.r1_zfrefle1 A C)) (tptp.r1_zfrefle1 A B)))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 tptp.k9_zf_lang)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 tptp.k9_zf_lang)) (=> (and (tptp.r1_zfrefle1 A B) (tptp.r1_zfrefle1 A C)) (tptp.r1_zfrefle1 A (tptp.k4_subset_1 tptp.k9_zf_lang B C))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (=> (tptp.v1_zf_model A) (tptp.r1_zfrefle1 A tptp.k2_zfrefle1)))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (=> (and (tptp.r1_zfrefle1 A tptp.k2_zfrefle1) (tptp.v1_ordinal1 A)) (tptp.v1_zf_model A)))) (forall ((A $$unsorted)) (=> (and (tptp.v1_zf_lang A) (tptp.m2_finseq_1 A tptp.k5_numbers)) (exists ((B $$unsorted)) (and (tptp.v1_zf_lang B) (tptp.m2_finseq_1 B tptp.k5_numbers) (= (tptp.k2_zf_model B) tptp.k1_xboole_0) (forall ((C $$unsorted)) (=> (not (tptp.v1_xboole_0 C)) (= (tptp.r2_zf_model C B) (tptp.r2_zf_model C A)))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (= (tptp.r2_zfrefle1 A B) (forall ((C $$unsorted)) (=> (and (tptp.v1_zf_lang C) (tptp.m2_finseq_1 C tptp.k5_numbers)) (= (tptp.r2_zf_model A C) (tptp.r2_zf_model B C))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (= (tptp.r2_zfrefle1 A B) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 tptp.k9_zf_lang)) (= (tptp.r1_zfrefle1 A C) (tptp.r1_zfrefle1 B C))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (=> (tptp.r3_zfrefle1 A B) (tptp.r2_zfrefle1 A B)))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (=> (and (tptp.v1_zf_model A) (tptp.r2_zfrefle1 A B) (tptp.v1_ordinal1 B)) (tptp.v1_zf_model B)))))) true (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k2_relat_1 A))) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.v1_classes2 B)) (=> (and (tptp.r2_hidden (tptp.k1_relat_1 A) B) (tptp.r1_tarski _let_1 B)) (tptp.r2_hidden _let_1 B))))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 B))) (let ((_let_2 (tptp.k1_zfmisc_1 A))) (=> (or (tptp.r2_wellord2 A B) (= (tptp.k1_card_1 A) (tptp.k1_card_1 B))) (and (tptp.r2_wellord2 _let_2 _let_1) (= (tptp.k1_card_1 _let_2) (tptp.k1_card_1 _let_1))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v1_classes2 A)) (forall ((B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k2_ordinal2 A))) (let ((_let_2 (tptp.k1_funct_2 _let_1 _let_1))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C B _let_2) (tptp.m2_relset_1 C B _let_2)) (not (and (tptp.r2_hidden (tptp.k1_card_1 B) (tptp.k1_card_1 A)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k2_ordinal4 A))) (=> (tptp.m2_ordinal4 D A) (not (and (tptp.v2_ordinal2 D) (tptp.v3_ordinal2 D) (= (tptp.k4_ordinal4 A D _let_1) _let_1) (forall ((E $$unsorted)) (let ((_let_1 (tptp.k6_ordinal4 A E))) (=> (tptp.m1_ordinal4 E A) (= (tptp.k4_ordinal4 A D _let_1) (tptp.k7_ordinal2 (tptp.k2_xboole_0 (tptp.k1_tarski (tptp.k4_ordinal4 A D E)) (tptp.k9_relat_1 (tptp.k4_funct_5 C) (tptp.k2_zfmisc_1 B (tptp.k1_tarski _let_1))))))))) (forall ((E $$unsorted)) (=> (tptp.m1_ordinal4 E A) (=> (tptp.v4_ordinal1 E) (or (= E (tptp.k2_ordinal4 A)) (= (tptp.k4_ordinal4 A D E) (tptp.k8_ordinal2 (tptp.k2_ordinal1 D E)))))))))))))))))))))) (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.v2_ordinal2 B) (tptp.v2_ordinal2 (tptp.k1_ordinal3 A B))))))) (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (forall ((B $$unsorted)) (=> (tptp.v3_ordinal1 B) (forall ((C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C) (tptp.v5_ordinal1 C) (tptp.v1_ordinal2 C)) (= (tptp.k2_ordinal1 (tptp.k1_ordinal3 A C) B) (tptp.k1_ordinal3 A (tptp.k2_ordinal1 C B))))))))) (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (tptp.v5_ordinal1 B) (tptp.v1_ordinal2 B)) (=> (and (tptp.v2_ordinal2 B) (tptp.v3_ordinal2 B)) (tptp.v3_ordinal2 (tptp.k1_ordinal3 A B))))))) (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (forall ((B $$unsorted)) (=> (tptp.v3_ordinal1 B) (= (tptp.r4_zfrefle1 A B) (exists ((C $$unsorted)) (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C) (tptp.v5_ordinal1 C) (tptp.v1_ordinal2 C) (= (tptp.k1_relat_1 C) B) (tptp.r1_tarski (tptp.k2_relat_1 C) A) (tptp.v2_ordinal2 C) (= A (tptp.k8_ordinal2 C))))))))) true (forall ((A $$unsorted) (B $$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.k2_relat_1 B)) (tptp.v3_ordinal1 A)))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v5_ordinal1 A) (tptp.v1_ordinal2 A)) (tptp.r1_tarski (tptp.k2_relat_1 A) (tptp.k8_ordinal2 A)))) (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (forall ((B $$unsorted)) (=> (tptp.v3_ordinal1 B) (forall ((C $$unsorted)) (=> (tptp.v3_ordinal1 C) (=> (and (tptp.r4_zfrefle1 A B) (tptp.r4_zfrefle1 B C)) (tptp.r4_zfrefle1 A C)))))))) (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (forall ((B $$unsorted)) (=> (tptp.v3_ordinal1 B) (=> (tptp.r4_zfrefle1 A B) (tptp.r1_tarski B A)))))) (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (forall ((B $$unsorted)) (=> (tptp.v3_ordinal1 B) (=> (and (tptp.r4_zfrefle1 A B) (tptp.r4_zfrefle1 B A)) (= A B)))))) (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k1_relat_1 B))) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (tptp.v5_ordinal1 B) (tptp.v1_ordinal2 B)) (=> (and (tptp.v4_ordinal1 _let_1) (tptp.v2_ordinal2 B) (tptp.r1_ordinal2 A B)) (or (= _let_1 tptp.k1_xboole_0) (tptp.r4_zfrefle1 A _let_1)))))))) (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (tptp.r4_zfrefle1 (tptp.k1_ordinal1 A) tptp.k4_ordinal2))) (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (forall ((B $$unsorted)) (=> (tptp.v3_ordinal1 B) (not (and (tptp.r4_zfrefle1 A (tptp.k1_ordinal1 B)) (forall ((C $$unsorted)) (=> (tptp.v3_ordinal1 C) (not (= A (tptp.k1_ordinal1 C))))))))))) (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (forall ((B $$unsorted)) (=> (tptp.v3_ordinal1 B) (=> (tptp.r4_zfrefle1 A B) (= (tptp.v4_ordinal1 A) (tptp.v4_ordinal1 B))))))) (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (=> (tptp.r4_zfrefle1 A tptp.k1_xboole_0) (= A tptp.k1_xboole_0)))) (forall ((A $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v1_classes2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_ordinal4 B A) (not (tptp.r4_zfrefle1 (tptp.k2_ordinal2 A) B)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v1_classes2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_ordinal4 B A) (forall ((C $$unsorted)) (=> (tptp.m2_ordinal4 C A) (not (and (tptp.r2_hidden tptp.k5_ordinal2 A) (tptp.v2_ordinal2 C) (tptp.v3_ordinal2 C) (forall ((D $$unsorted)) (=> (tptp.m1_ordinal4 D A) (not (and (tptp.r2_hidden B D) (= (tptp.k4_ordinal4 A C D) D))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v1_classes2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_ordinal4 B A) (forall ((C $$unsorted)) (=> (tptp.m2_ordinal4 C A) (not (and (tptp.r2_hidden tptp.k5_ordinal2 A) (tptp.v2_ordinal2 C) (tptp.v3_ordinal2 C) (forall ((D $$unsorted)) (=> (tptp.m1_ordinal4 D A) (not (and (tptp.r2_hidden B D) (= (tptp.k4_ordinal4 A C D) D) (tptp.r4_zfrefle1 D tptp.k5_ordinal2))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v1_classes2 A)) (forall ((B $$unsorted)) (=> (and (tptp.v2_relat_1 B) (tptp.v1_zf_refle B A) (tptp.m1_ordinal1 B A)) (not (and (tptp.r2_hidden tptp.k5_ordinal2 A) (forall ((C $$unsorted)) (=> (tptp.m1_ordinal4 C A) (forall ((D $$unsorted)) (=> (tptp.m1_ordinal4 D A) (=> (tptp.r2_hidden C D) (tptp.r1_tarski (tptp.k5_zf_refle A B C) (tptp.k5_zf_refle A B D))))))) (forall ((C $$unsorted)) (=> (tptp.m1_ordinal4 C A) (=> (tptp.v4_ordinal1 C) (or (= C tptp.k1_xboole_0) (= (tptp.k5_zf_refle A B C) (tptp.k3_card_3 (tptp.k2_ordinal1 B C))))))) (forall ((C $$unsorted)) (=> (tptp.m2_ordinal4 C A) (not (and (tptp.v2_ordinal2 C) (tptp.v3_ordinal2 C) (forall ((D $$unsorted)) (=> (tptp.m1_ordinal4 D A) (=> (= (tptp.k4_ordinal4 A C D) D) (or (= tptp.k1_xboole_0 D) (tptp.r3_zfrefle1 (tptp.k5_zf_refle A B D) (tptp.k4_zf_refle A B)))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v1_classes2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_ordinal4 B A) (tptp.r2_hidden (tptp.k4_classes1 B) A))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v1_classes2 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k4_classes1 B))) (=> (tptp.m1_ordinal4 B A) (=> (not (= B tptp.k1_xboole_0)) (and (not (tptp.v1_xboole_0 _let_1)) (tptp.m1_subset_1 _let_1 A)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v1_classes2 A)) (not (and (tptp.r2_hidden tptp.k5_ordinal2 A) (forall ((B $$unsorted)) (=> (tptp.m2_ordinal4 B A) (not (and (tptp.v2_ordinal2 B) (tptp.v3_ordinal2 B) (forall ((C $$unsorted)) (=> (tptp.m1_ordinal4 C A) (forall ((D $$unsorted)) (=> (not (tptp.v1_xboole_0 D)) (=> (and (= (tptp.k4_ordinal4 A B C) C) (= D (tptp.k4_classes1 C))) (or (= tptp.k1_xboole_0 C) (tptp.r3_zfrefle1 D A))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v1_classes2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_ordinal4 B A) (not (and (tptp.r2_hidden tptp.k5_ordinal2 A) (forall ((C $$unsorted)) (=> (tptp.m1_ordinal4 C A) (forall ((D $$unsorted)) (=> (not (tptp.v1_xboole_0 D)) (not (and (tptp.r2_hidden B C) (= D (tptp.k4_classes1 C)) (tptp.r3_zfrefle1 D A))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v1_classes2 A)) (not (and (tptp.r2_hidden tptp.k5_ordinal2 A) (forall ((B $$unsorted)) (=> (tptp.m1_ordinal4 B A) (forall ((C $$unsorted)) (=> (not (tptp.v1_xboole_0 C)) (not (and (tptp.r4_zfrefle1 B tptp.k5_ordinal2) (= C (tptp.k4_classes1 B)) (tptp.r3_zfrefle1 C A))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v1_classes2 A)) (forall ((B $$unsorted)) (=> (and (tptp.v2_relat_1 B) (tptp.v1_zf_refle B A) (tptp.m1_ordinal1 B A)) (not (and (tptp.r2_hidden tptp.k5_ordinal2 A) (forall ((C $$unsorted)) (=> (tptp.m1_ordinal4 C A) (forall ((D $$unsorted)) (=> (tptp.m1_ordinal4 D A) (=> (tptp.r2_hidden C D) (tptp.r1_tarski (tptp.k5_zf_refle A B C) (tptp.k5_zf_refle A B D))))))) (forall ((C $$unsorted)) (=> (tptp.m1_ordinal4 C A) (=> (tptp.v4_ordinal1 C) (or (= C tptp.k1_xboole_0) (= (tptp.k5_zf_refle A B C) (tptp.k3_card_3 (tptp.k2_ordinal1 B C))))))) (forall ((C $$unsorted)) (=> (tptp.m2_ordinal4 C A) (not (and (tptp.v2_ordinal2 C) (tptp.v3_ordinal2 C) (forall ((D $$unsorted)) (=> (tptp.m1_ordinal4 D A) (=> (= (tptp.k4_ordinal4 A C D) D) (or (= tptp.k1_xboole_0 D) (tptp.r2_zfrefle1 (tptp.k5_zf_refle A B D) (tptp.k4_zf_refle A B)))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v1_classes2 A)) (not (and (tptp.r2_hidden tptp.k5_ordinal2 A) (forall ((B $$unsorted)) (=> (tptp.m2_ordinal4 B A) (not (and (tptp.v2_ordinal2 B) (tptp.v3_ordinal2 B) (forall ((C $$unsorted)) (=> (tptp.m1_ordinal4 C A) (forall ((D $$unsorted)) (=> (not (tptp.v1_xboole_0 D)) (=> (and (= (tptp.k4_ordinal4 A B C) C) (= D (tptp.k4_classes1 C))) (or (= tptp.k1_xboole_0 C) (tptp.r2_zfrefle1 D A))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v1_classes2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_ordinal4 B A) (not (and (tptp.r2_hidden tptp.k5_ordinal2 A) (forall ((C $$unsorted)) (=> (tptp.m1_ordinal4 C A) (forall ((D $$unsorted)) (=> (not (tptp.v1_xboole_0 D)) (not (and (tptp.r2_hidden B C) (= D (tptp.k4_classes1 C)) (tptp.r2_zfrefle1 D A))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v1_classes2 A)) (not (and (tptp.r2_hidden tptp.k5_ordinal2 A) (forall ((B $$unsorted)) (=> (tptp.m1_ordinal4 B A) (forall ((C $$unsorted)) (=> (not (tptp.v1_xboole_0 C)) (not (and (tptp.r4_zfrefle1 B tptp.k5_ordinal2) (= C (tptp.k4_classes1 B)) (tptp.r2_zfrefle1 C A))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v1_classes2 A)) (not (and (tptp.r2_hidden tptp.k5_ordinal2 A) (forall ((B $$unsorted)) (=> (tptp.m1_ordinal4 B A) (forall ((C $$unsorted)) (=> (not (tptp.v1_xboole_0 C)) (not (and (tptp.r4_zfrefle1 B tptp.k5_ordinal2) (= C (tptp.k4_classes1 B)) (tptp.v1_zf_model C))))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.v1_classes2 B)) (not (and (tptp.r2_hidden tptp.k5_ordinal2 B) (tptp.r2_hidden A B) (forall ((C $$unsorted)) (=> (not (tptp.v1_xboole_0 C)) (not (and (tptp.r2_hidden A C) (tptp.r2_hidden C B) (tptp.v1_zf_model C))))))))) (=> (forall ((A $$unsorted)) (not (and (tptp.r2_hidden A tptp.f1_s1_zfrefle1) (forall ((B $$unsorted)) (not (tptp.p1_s1_zfrefle1 A B)))))) (exists ((A $$unsorted)) (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (= (tptp.k1_relat_1 A) tptp.f1_s1_zfrefle1) (forall ((B $$unsorted)) (=> (tptp.r2_hidden B tptp.f1_s1_zfrefle1) (tptp.p1_s1_zfrefle1 B (tptp.k1_funct_1 A B))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (not (tptp.v1_xboole_0 B))) (=> (tptp.r2_zfrefle1 A B) (tptp.r2_zfrefle1 B A)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (not (tptp.v1_xboole_0 B))) (tptp.r2_zfrefle1 A A))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (not (tptp.v1_xboole_0 B))) (tptp.r3_zfrefle1 A A))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v3_ordinal1 A) (tptp.v3_ordinal1 B)) (tptp.r4_zfrefle1 A A))) true (tptp.m1_subset_1 tptp.k2_zfrefle1 (tptp.k1_zfmisc_1 tptp.k9_zf_lang)) (= tptp.k2_zfrefle1 tptp.k1_zfrefle1) (not (tptp.v1_xboole_0 tptp.k1_qc_lang1)) (not (tptp.v1_xboole_0 tptp.k2_qc_lang1)) (not (tptp.v1_xboole_0 tptp.k3_qc_lang1)) (not (tptp.v1_xboole_0 tptp.k4_qc_lang1)) (not (tptp.v1_xboole_0 tptp.k5_qc_lang1)) (forall ((A $$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)))))))))) (= tptp.k1_qc_lang1 (tptp.k2_zfmisc_1 (tptp.k1_enumset1 tptp.np__4 tptp.np__5 tptp.np__6) tptp.k5_numbers)) true (tptp.r1_tarski tptp.k1_qc_lang1 _let_70) (= tptp.k2_qc_lang1 (tptp.k2_zfmisc_1 (tptp.k1_tarski tptp.np__4) tptp.k5_numbers)) (= tptp.k3_qc_lang1 (tptp.k2_zfmisc_1 (tptp.k1_tarski tptp.np__5) tptp.k5_numbers)) (= tptp.k4_qc_lang1 (tptp.k2_zfmisc_1 (tptp.k1_tarski tptp.np__6) tptp.k5_numbers)) true true true true true (tptp.r1_tarski tptp.k5_qc_lang1 _let_70) (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)))))) (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 $$unsorted)) (=> (tptp.m2_finseq_1 C (tptp.k12_mcart_1 tptp.k1_numbers tptp.k1_numbers tptp.k5_numbers tptp.k5_numbers)) (=> (tptp.r2_hidden C A) (tptp.r2_hidden (tptp.k7_finseq_1 (tptp.k7_finseq_1 (tptp.k9_finseq_1 (tptp.k4_tarski tptp.np__3 tptp.np__0)) (tptp.k12_finseq_1 tptp.k2_qc_lang1 B)) C) A))))))))) (forall ((A $$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 $$unsorted)) (=> (tptp.m1_subset_1 A tptp.k8_qc_lang1) (= (tptp.k10_qc_lang1 A) A))) (= tptp.k11_qc_lang1 (tptp.k9_finseq_1 _let_83)) (forall ((A $$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_82) (tptp.m1_subset_1 tptp.k3_qc_lang1 _let_82) (tptp.m1_subset_1 tptp.k4_qc_lang1 _let_82) 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 $$unsorted)) (=> (tptp.m1_subset_1 A tptp.k8_qc_lang1) (tptp.m1_subset_1 (tptp.k24_qc_lang1 A) (tptp.k1_zfmisc_1 tptp.k2_qc_lang1)))) (= tptp.k5_qc_lang1 tptp.a_0_0_qc_lang1) (forall ((A $$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))))))) (= tptp.k1_qc_lang2 (tptp.k12_qc_lang1 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.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 $$unsorted)) (let ((_let_1 (tptp.k1_cqc_lang A B C D))) (let ((_let_2 (= A B))) (and (=> _let_2 (= _let_1 C)) (=> (not _let_2) (= _let_1 D)))))) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.k3_cqc_lang A B) (tptp.k2_funcop_1 (tptp.k1_tarski A) B))) true true true true (forall ((A $$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)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.k9_funct_2 A B C) (tptp.k3_cqc_lang (tptp.k4_tarski A B) C))) (forall ((A $$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 $$unsorted)) (=> (and (tptp.m1_subset_1 A tptp.k5_numbers) (tptp.m1_subset_1 B (tptp.k7_qc_lang1 A)) (tptp.v1_cqc_lang C A) (tptp.m1_qc_lang1 C A)) (= (tptp.k8_cqc_lang A B C) (tptp.k9_qc_lang1 B C)))) (tptp.m2_subset_1 tptp.k9_cqc_lang tptp.k8_qc_lang1 tptp.k7_cqc_lang) (= tptp.k9_cqc_lang tptp.k11_qc_lang1) (forall ((A $$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 $$unsorted)) (=> (and (tptp.m1_subset_1 A tptp.k8_qc_lang1) (tptp.m1_subset_1 B tptp.k2_qc_lang1)) (tptp.m1_subset_1 (tptp.k17_cqc_lang A B) tptp.k8_qc_lang1))) (= tptp.k7_cqc_lang tptp.a_0_0_cqc_lang) (forall ((A $$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))))))) (exists ((A $$unsorted)) (and (tptp.v1_relat_1 A) (tptp.v3_relat_1 A) (tptp.v1_funct_1 A))) (forall ((A $$unsorted)) (exists ((B $$unsorted)) (and (tptp.m1_pboole B A) (tptp.v1_relat_1 B) (tptp.v3_relat_1 B) (tptp.v1_funct_1 B)))) (forall ((A $$unsorted)) (exists ((B $$unsorted)) (and (tptp.m1_pboole B A) (tptp.v1_relat_1 B) (tptp.v2_relat_1 B) (tptp.v1_funct_1 B)))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (tptp.m1_pboole B A) (=> (tptp.v2_relat_1 B) (not (tptp.v3_relat_1 B))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (tptp.m1_pboole B A) (=> (tptp.v3_relat_1 B) (not (tptp.v2_relat_1 B))))))) (forall ((A $$unsorted)) (exists ((B $$unsorted)) (and (tptp.m1_pboole B A) (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (tptp.v1_funcop_1 B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.m1_pboole B A) (tptp.m1_pboole C A)) (forall ((D $$unsorted)) (=> (tptp.m3_pboole D A B C) (tptp.v1_funcop_1 D))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k6_pboole A B))) (=> (and (tptp.v2_relat_1 B) (tptp.m1_pboole B A)) (and (tptp.v1_relat_1 _let_1) (tptp.v2_relat_1 _let_1) (not (tptp.v3_relat_1 _let_1)) (tptp.v1_funct_1 _let_1))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v2_relat_1 B) (tptp.m1_pboole B A) (tptp.m1_subset_1 C A)) (not (tptp.v1_xboole_0 (tptp.k1_funct_1 B C))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v2_relat_1 B) (tptp.m1_pboole B A)) (exists ((C $$unsorted)) (and (tptp.m4_pboole C A B) (tptp.v1_relat_1 C) (tptp.v2_relat_1 C) (tptp.v1_funct_1 C))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k1_pboole A))) (and (tptp.v1_relat_1 _let_1) (tptp.v3_relat_1 _let_1) (tptp.v1_funct_1 _let_1)))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (=> (tptp.v2_relat_1 A) (tptp.v1_setfam_1 (tptp.k2_relat_1 A))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (= (tptp.v3_relat_1 A) (or (= A tptp.k1_xboole_0) (= (tptp.k2_relat_1 A) (tptp.k1_tarski tptp.k1_xboole_0)))))) true true (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (= (tptp.m1_pboole B A) (= (tptp.k1_relat_1 B) A)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m1_pboole C A) (= (tptp.r1_pboole A B C) (forall ((D $$unsorted)) (=> (tptp.r2_hidden D A) (tptp.r2_hidden (tptp.k1_funct_1 B D) (tptp.k1_funct_1 C D))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m1_pboole C A) (= (tptp.r2_pboole A B C) (forall ((D $$unsorted)) (=> (tptp.r2_hidden D A) (tptp.r1_tarski (tptp.k1_funct_1 B D) (tptp.k1_funct_1 C D))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m1_pboole C A) (=> (forall ((D $$unsorted)) (=> (tptp.r2_hidden D A) (= (tptp.k1_funct_1 B D) (tptp.k1_funct_1 C D)))) (= B C)))))) (forall ((A $$unsorted)) (= (tptp.k1_pboole A) (tptp.k2_funcop_1 A tptp.k1_xboole_0))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m1_pboole C A) (forall ((D $$unsorted)) (=> (tptp.m1_pboole D A) (= (= D (tptp.k2_pboole A B C)) (forall ((E $$unsorted)) (=> (tptp.r2_hidden E A) (= (tptp.k1_funct_1 D E) (tptp.k2_xboole_0 (tptp.k1_funct_1 B E) (tptp.k1_funct_1 C E)))))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m1_pboole C A) (forall ((D $$unsorted)) (=> (tptp.m1_pboole D A) (= (= D (tptp.k3_pboole A B C)) (forall ((E $$unsorted)) (=> (tptp.r2_hidden E A) (= (tptp.k1_funct_1 D E) (tptp.k3_xboole_0 (tptp.k1_funct_1 B E) (tptp.k1_funct_1 C E)))))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m1_pboole C A) (forall ((D $$unsorted)) (=> (tptp.m1_pboole D A) (= (= D (tptp.k4_pboole A B C)) (forall ((E $$unsorted)) (=> (tptp.r2_hidden E A) (= (tptp.k1_funct_1 D E) (tptp.k4_xboole_0 (tptp.k1_funct_1 B E) (tptp.k1_funct_1 C E)))))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m1_pboole C A) (= (tptp.r4_pboole A B C) (forall ((D $$unsorted)) (not (and (tptp.r2_hidden D A) (tptp.r1_xboole_0 (tptp.k1_funct_1 B D) (tptp.k1_funct_1 C D)))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m1_pboole C A) (= (tptp.r5_pboole A B C) (forall ((D $$unsorted)) (=> (tptp.r2_hidden D A) (tptp.r1_xboole_0 (tptp.k1_funct_1 B D) (tptp.k1_funct_1 C D))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m1_pboole C A) (= (tptp.k5_pboole A B C) (tptp.k2_pboole A (tptp.k4_pboole A B C) (tptp.k4_pboole A C B))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m1_pboole C A) (forall ((D $$unsorted)) (=> (tptp.r2_hidden D A) (= (tptp.k1_funct_1 (tptp.k5_pboole A B C) D) (tptp.k5_xboole_0 (tptp.k1_funct_1 B D) (tptp.k1_funct_1 C D))))))))) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.k1_funct_1 (tptp.k1_pboole B) A) tptp.k1_xboole_0)) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (=> (forall ((C $$unsorted)) (=> (tptp.r2_hidden C A) (= (tptp.k1_funct_1 B C) tptp.k1_xboole_0))) (= B (tptp.k1_pboole A))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m1_pboole C A) (forall ((D $$unsorted)) (=> (tptp.m1_pboole D A) (=> (or (tptp.r1_pboole A B C) (tptp.r1_pboole A B D)) (tptp.r1_pboole A B (tptp.k2_pboole A C D))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m1_pboole C A) (forall ((D $$unsorted)) (=> (tptp.m1_pboole D A) (= (tptp.r1_pboole A B (tptp.k3_pboole A C D)) (and (tptp.r1_pboole A B C) (tptp.r1_pboole A B D))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m1_pboole C A) (forall ((D $$unsorted)) (=> (tptp.m1_pboole D A) (=> (and (tptp.r1_pboole A B C) (tptp.r2_pboole A C D)) (tptp.r1_pboole A B D)))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m1_pboole C A) (forall ((D $$unsorted)) (=> (tptp.m1_pboole D A) (=> (and (tptp.r1_pboole A B C) (tptp.r1_pboole A B D)) (tptp.r4_pboole A C D)))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m1_pboole C A) (not (and (tptp.r4_pboole A B C) (forall ((D $$unsorted)) (=> (tptp.m1_pboole D A) (not (and (tptp.r1_pboole A D B) (tptp.r1_pboole A D C))))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m1_pboole C A) (forall ((D $$unsorted)) (=> (tptp.m1_pboole D A) (=> (tptp.r1_pboole A B (tptp.k4_pboole A C D)) (tptp.r1_pboole A B C)))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m1_pboole C A) (= (tptp.r6_pboole A B C) (and (tptp.r2_pboole A B C) (tptp.r2_pboole A C B))))))) true true (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m1_pboole C A) (forall ((D $$unsorted)) (=> (tptp.m1_pboole D A) (=> (and (tptp.r2_pboole A B C) (tptp.r2_pboole A C D)) (tptp.r2_pboole A B D)))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k2_pboole A B C))) (=> (tptp.m1_pboole C A) (and (tptp.r2_pboole A B _let_1) (tptp.r2_pboole A C _let_1))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k3_pboole A B C))) (=> (tptp.m1_pboole C A) (and (tptp.r2_pboole A _let_1 B) (tptp.r2_pboole A _let_1 C))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m1_pboole C A) (forall ((D $$unsorted)) (=> (tptp.m1_pboole D A) (=> (and (tptp.r2_pboole A B C) (tptp.r2_pboole A D C)) (tptp.r2_pboole A (tptp.k2_pboole A B D) C)))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m1_pboole C A) (forall ((D $$unsorted)) (=> (tptp.m1_pboole D A) (=> (and (tptp.r2_pboole A B C) (tptp.r2_pboole A B D)) (tptp.r2_pboole A B (tptp.k3_pboole A C D))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m1_pboole C A) (forall ((D $$unsorted)) (=> (tptp.m1_pboole D A) (=> (tptp.r2_pboole A B C) (and (tptp.r2_pboole A (tptp.k2_pboole A B D) (tptp.k2_pboole A C D)) (tptp.r2_pboole A (tptp.k2_pboole A D B) (tptp.k2_pboole A D C)))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m1_pboole C A) (forall ((D $$unsorted)) (=> (tptp.m1_pboole D A) (=> (tptp.r2_pboole A B C) (and (tptp.r2_pboole A (tptp.k3_pboole A B D) (tptp.k3_pboole A C D)) (tptp.r2_pboole A (tptp.k3_pboole A D B) (tptp.k3_pboole A D C)))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m1_pboole C A) (forall ((D $$unsorted)) (=> (tptp.m1_pboole D A) (forall ((E $$unsorted)) (=> (tptp.m1_pboole E A) (=> (and (tptp.r2_pboole A B C) (tptp.r2_pboole A D E)) (tptp.r2_pboole A (tptp.k2_pboole A B D) (tptp.k2_pboole A C E))))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m1_pboole C A) (forall ((D $$unsorted)) (=> (tptp.m1_pboole D A) (forall ((E $$unsorted)) (=> (tptp.m1_pboole E A) (=> (and (tptp.r2_pboole A B C) (tptp.r2_pboole A D E)) (tptp.r2_pboole A (tptp.k3_pboole A B D) (tptp.k3_pboole A C E))))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m1_pboole C A) (=> (tptp.r2_pboole A B C) (and (tptp.r6_pboole A (tptp.k2_pboole A B C) C) (tptp.r6_pboole A (tptp.k2_pboole A C B) C))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m1_pboole C A) (=> (tptp.r2_pboole A B C) (and (tptp.r6_pboole A (tptp.k3_pboole A B C) B) (tptp.r6_pboole A (tptp.k3_pboole A C B) B))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m1_pboole C A) (forall ((D $$unsorted)) (=> (tptp.m1_pboole D A) (tptp.r2_pboole A (tptp.k3_pboole A B C) (tptp.k2_pboole A B D)))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m1_pboole C A) (forall ((D $$unsorted)) (=> (tptp.m1_pboole D A) (=> (tptp.r2_pboole A B C) (tptp.r6_pboole A (tptp.k2_pboole A B (tptp.k3_pboole A D C)) (tptp.k3_pboole A (tptp.k2_pboole A B D) C))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m1_pboole C A) (forall ((D $$unsorted)) (=> (tptp.m1_pboole D A) (= (tptp.r6_pboole A B (tptp.k2_pboole A C D)) (and (tptp.r2_pboole A C B) (tptp.r2_pboole A D B) (forall ((E $$unsorted)) (=> (tptp.m1_pboole E A) (=> (and (tptp.r2_pboole A C E) (tptp.r2_pboole A D E)) (tptp.r2_pboole A B E)))))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m1_pboole C A) (forall ((D $$unsorted)) (=> (tptp.m1_pboole D A) (= (tptp.r6_pboole A B (tptp.k3_pboole A C D)) (and (tptp.r2_pboole A B C) (tptp.r2_pboole A B D) (forall ((E $$unsorted)) (=> (tptp.m1_pboole E A) (=> (and (tptp.r2_pboole A E C) (tptp.r2_pboole A E D)) (tptp.r2_pboole A E B)))))))))))) true true true true (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m1_pboole C A) (forall ((D $$unsorted)) (=> (tptp.m1_pboole D A) (tptp.r6_pboole A (tptp.k2_pboole A (tptp.k2_pboole A B C) D) (tptp.k2_pboole A B (tptp.k2_pboole A C D))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m1_pboole C A) (forall ((D $$unsorted)) (=> (tptp.m1_pboole D A) (tptp.r6_pboole A (tptp.k3_pboole A (tptp.k3_pboole A B C) D) (tptp.k3_pboole A B (tptp.k3_pboole A C D))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k2_pboole A C B))) (let ((_let_2 (tptp.k2_pboole A B C))) (=> (tptp.m1_pboole C A) (and (tptp.r6_pboole A (tptp.k3_pboole A B _let_2) B) (tptp.r6_pboole A (tptp.k3_pboole A _let_2 B) B) (tptp.r6_pboole A (tptp.k3_pboole A B _let_1) B) (tptp.r6_pboole A (tptp.k3_pboole A _let_1 B) B)))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k3_pboole A C B))) (let ((_let_2 (tptp.k3_pboole A B C))) (=> (tptp.m1_pboole C A) (and (tptp.r6_pboole A (tptp.k2_pboole A B _let_2) B) (tptp.r6_pboole A (tptp.k2_pboole A _let_2 B) B) (tptp.r6_pboole A (tptp.k2_pboole A B _let_1) B) (tptp.r6_pboole A (tptp.k2_pboole A _let_1 B) B)))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m1_pboole C A) (forall ((D $$unsorted)) (=> (tptp.m1_pboole D A) (tptp.r6_pboole A (tptp.k3_pboole A B (tptp.k2_pboole A C D)) (tptp.k2_pboole A (tptp.k3_pboole A B C) (tptp.k3_pboole A B D))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m1_pboole C A) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k3_pboole A C D))) (=> (tptp.m1_pboole D A) (and (tptp.r6_pboole A (tptp.k2_pboole A B _let_1) (tptp.k3_pboole A (tptp.k2_pboole A B C) (tptp.k2_pboole A B D))) (tptp.r6_pboole A (tptp.k2_pboole A _let_1 B) (tptp.k3_pboole A (tptp.k2_pboole A C B) (tptp.k2_pboole A D B))))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m1_pboole C A) (forall ((D $$unsorted)) (=> (tptp.m1_pboole D A) (=> (tptp.r6_pboole A (tptp.k2_pboole A (tptp.k3_pboole A B C) (tptp.k3_pboole A B D)) B) (tptp.r2_pboole A B (tptp.k2_pboole A C D))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m1_pboole C A) (forall ((D $$unsorted)) (=> (tptp.m1_pboole D A) (=> (tptp.r6_pboole A (tptp.k3_pboole A (tptp.k2_pboole A B C) (tptp.k2_pboole A B D)) B) (tptp.r2_pboole A (tptp.k3_pboole A C D) B)))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m1_pboole C A) (forall ((D $$unsorted)) (=> (tptp.m1_pboole D A) (tptp.r6_pboole A (tptp.k2_pboole A (tptp.k2_pboole A (tptp.k3_pboole A B C) (tptp.k3_pboole A C D)) (tptp.k3_pboole A D B)) (tptp.k3_pboole A (tptp.k3_pboole A (tptp.k2_pboole A B C) (tptp.k2_pboole A C D)) (tptp.k2_pboole A D B))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m1_pboole C A) (forall ((D $$unsorted)) (=> (tptp.m1_pboole D A) (=> (tptp.r2_pboole A (tptp.k2_pboole A B C) D) (and (tptp.r2_pboole A B D) (tptp.r2_pboole A C D))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m1_pboole C A) (forall ((D $$unsorted)) (=> (tptp.m1_pboole D A) (=> (tptp.r2_pboole A B (tptp.k3_pboole A C D)) (and (tptp.r2_pboole A B C) (tptp.r2_pboole A B D))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m1_pboole C A) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k2_pboole A B D))) (let ((_let_2 (tptp.k2_pboole A B C))) (let ((_let_3 (tptp.k2_pboole A C D))) (=> (tptp.m1_pboole D A) (and (tptp.r6_pboole A (tptp.k2_pboole A _let_2 D) (tptp.k2_pboole A _let_1 _let_3)) (tptp.r6_pboole A (tptp.k2_pboole A B _let_3) (tptp.k2_pboole A _let_2 _let_1)))))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m1_pboole C A) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k3_pboole A B D))) (let ((_let_2 (tptp.k3_pboole A B C))) (let ((_let_3 (tptp.k3_pboole A C D))) (=> (tptp.m1_pboole D A) (and (tptp.r6_pboole A (tptp.k3_pboole A _let_2 D) (tptp.k3_pboole A _let_1 _let_3)) (tptp.r6_pboole A (tptp.k3_pboole A B _let_3) (tptp.k3_pboole A _let_2 _let_1)))))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k2_pboole A B C))) (=> (tptp.m1_pboole C A) (and (tptp.r6_pboole A (tptp.k2_pboole A B _let_1) _let_1) (tptp.r6_pboole A (tptp.k2_pboole A _let_1 C) _let_1))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k3_pboole A B C))) (=> (tptp.m1_pboole C A) (and (tptp.r6_pboole A (tptp.k3_pboole A B _let_1) _let_1) (tptp.r6_pboole A (tptp.k3_pboole A _let_1 C) _let_1))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (tptp.r2_pboole A (tptp.k1_pboole A) B))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k1_pboole A))) (=> (tptp.m1_pboole B A) (=> (tptp.r2_pboole A B _let_1) (tptp.r6_pboole A B _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m1_pboole C A) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k1_pboole A))) (=> (tptp.m1_pboole D A) (=> (and (tptp.r2_pboole A B C) (tptp.r2_pboole A B D) (tptp.r6_pboole A (tptp.k3_pboole A C D) _let_1)) (tptp.r6_pboole A B _let_1))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m1_pboole C A) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k1_pboole A))) (=> (tptp.m1_pboole D A) (=> (and (tptp.r2_pboole A B C) (tptp.r6_pboole A (tptp.k3_pboole A C D) _let_1)) (tptp.r6_pboole A (tptp.k3_pboole A B D) _let_1))))))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k1_pboole A))) (=> (tptp.m1_pboole B A) (and (tptp.r6_pboole A (tptp.k2_pboole A B _let_1) B) (tptp.r6_pboole A (tptp.k2_pboole A _let_1 B) B))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k1_pboole A))) (=> (tptp.m1_pboole C A) (=> (tptp.r6_pboole A (tptp.k2_pboole A B C) _let_1) (and (tptp.r6_pboole A B _let_1) (tptp.r6_pboole A C _let_1)))))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k1_pboole A))) (=> (tptp.m1_pboole B A) (and (tptp.r6_pboole A (tptp.k3_pboole A B _let_1) _let_1) (tptp.r6_pboole A (tptp.k3_pboole A _let_1 B) _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m1_pboole C A) (forall ((D $$unsorted)) (=> (tptp.m1_pboole D A) (=> (and (tptp.r2_pboole A B (tptp.k2_pboole A C D)) (tptp.r6_pboole A (tptp.k3_pboole A B D) (tptp.k1_pboole A))) (tptp.r2_pboole A B C)))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k1_pboole A))) (=> (tptp.m1_pboole C A) (=> (and (tptp.r2_pboole A B C) (tptp.r6_pboole A (tptp.k3_pboole A C B) _let_1)) (tptp.r6_pboole A B _let_1))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m1_pboole C A) (= (tptp.r6_pboole A (tptp.k4_pboole A B C) (tptp.k1_pboole A)) (tptp.r2_pboole A B C)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m1_pboole C A) (forall ((D $$unsorted)) (=> (tptp.m1_pboole D A) (=> (tptp.r2_pboole A B C) (tptp.r2_pboole A (tptp.k4_pboole A B D) (tptp.k4_pboole A C D))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m1_pboole C A) (forall ((D $$unsorted)) (=> (tptp.m1_pboole D A) (=> (tptp.r2_pboole A B C) (tptp.r2_pboole A (tptp.k4_pboole A D C) (tptp.k4_pboole A D B))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m1_pboole C A) (forall ((D $$unsorted)) (=> (tptp.m1_pboole D A) (forall ((E $$unsorted)) (=> (tptp.m1_pboole E A) (=> (and (tptp.r2_pboole A B C) (tptp.r2_pboole A D E)) (tptp.r2_pboole A (tptp.k4_pboole A B E) (tptp.k4_pboole A C D))))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m1_pboole C A) (tptp.r2_pboole A (tptp.k4_pboole A B C) B))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m1_pboole C A) (=> (tptp.r2_pboole A B (tptp.k4_pboole A C B)) (tptp.r6_pboole A B (tptp.k1_pboole A))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (tptp.r6_pboole A (tptp.k4_pboole A B B) (tptp.k1_pboole A)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (tptp.r6_pboole A (tptp.k4_pboole A B (tptp.k1_pboole A)) B))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k1_pboole A))) (=> (tptp.m1_pboole B A) (tptp.r6_pboole A (tptp.k4_pboole A _let_1 B) _let_1)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k1_pboole A))) (=> (tptp.m1_pboole C A) (and (tptp.r6_pboole A (tptp.k4_pboole A B (tptp.k2_pboole A B C)) _let_1) (tptp.r6_pboole A (tptp.k4_pboole A B (tptp.k2_pboole A C B)) _let_1))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m1_pboole C A) (forall ((D $$unsorted)) (=> (tptp.m1_pboole D A) (tptp.r6_pboole A (tptp.k3_pboole A B (tptp.k4_pboole A C D)) (tptp.k4_pboole A (tptp.k3_pboole A B C) D)))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k1_pboole A))) (let ((_let_2 (tptp.k4_pboole A B C))) (=> (tptp.m1_pboole C A) (and (tptp.r6_pboole A (tptp.k3_pboole A _let_2 C) _let_1) (tptp.r6_pboole A (tptp.k3_pboole A C _let_2) _let_1)))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m1_pboole C A) (forall ((D $$unsorted)) (=> (tptp.m1_pboole D A) (tptp.r6_pboole A (tptp.k4_pboole A B (tptp.k4_pboole A C D)) (tptp.k2_pboole A (tptp.k4_pboole A B C) (tptp.k3_pboole A B D))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k4_pboole A B C))) (let ((_let_2 (tptp.k3_pboole A B C))) (=> (tptp.m1_pboole C A) (and (tptp.r6_pboole A (tptp.k2_pboole A _let_1 _let_2) B) (tptp.r6_pboole A (tptp.k2_pboole A _let_2 _let_1) B)))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k4_pboole A C B))) (=> (tptp.m1_pboole C A) (=> (tptp.r2_pboole A B C) (and (tptp.r6_pboole A C (tptp.k2_pboole A B _let_1)) (tptp.r6_pboole A C (tptp.k2_pboole A _let_1 B))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k4_pboole A C B))) (=> (tptp.m1_pboole C A) (and (tptp.r6_pboole A (tptp.k2_pboole A B _let_1) (tptp.k2_pboole A B C)) (tptp.r6_pboole A (tptp.k2_pboole A _let_1 B) (tptp.k2_pboole A C B)))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m1_pboole C A) (tptp.r6_pboole A (tptp.k4_pboole A B (tptp.k4_pboole A B C)) (tptp.k3_pboole A B C)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m1_pboole C A) (forall ((D $$unsorted)) (=> (tptp.m1_pboole D A) (tptp.r6_pboole A (tptp.k4_pboole A B (tptp.k3_pboole A C D)) (tptp.k2_pboole A (tptp.k4_pboole A B C) (tptp.k4_pboole A B D))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k4_pboole A B C))) (=> (tptp.m1_pboole C A) (and (tptp.r6_pboole A (tptp.k4_pboole A B (tptp.k3_pboole A B C)) _let_1) (tptp.r6_pboole A (tptp.k4_pboole A B (tptp.k3_pboole A C B)) _let_1))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m1_pboole C A) (= (tptp.r6_pboole A (tptp.k3_pboole A B C) (tptp.k1_pboole A)) (tptp.r6_pboole A (tptp.k4_pboole A B C) B)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m1_pboole C A) (forall ((D $$unsorted)) (=> (tptp.m1_pboole D A) (tptp.r6_pboole A (tptp.k4_pboole A (tptp.k2_pboole A B C) D) (tptp.k2_pboole A (tptp.k4_pboole A B D) (tptp.k4_pboole A C D))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m1_pboole C A) (forall ((D $$unsorted)) (=> (tptp.m1_pboole D A) (tptp.r6_pboole A (tptp.k4_pboole A (tptp.k4_pboole A B C) D) (tptp.k4_pboole A B (tptp.k2_pboole A C D))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m1_pboole C A) (forall ((D $$unsorted)) (=> (tptp.m1_pboole D A) (tptp.r6_pboole A (tptp.k4_pboole A (tptp.k3_pboole A B C) D) (tptp.k3_pboole A (tptp.k4_pboole A B D) (tptp.k4_pboole A C D))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m1_pboole C A) (tptp.r6_pboole A (tptp.k4_pboole A (tptp.k2_pboole A B C) C) (tptp.k4_pboole A B C)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m1_pboole C A) (forall ((D $$unsorted)) (=> (tptp.m1_pboole D A) (=> (tptp.r2_pboole A B (tptp.k2_pboole A C D)) (and (tptp.r2_pboole A (tptp.k4_pboole A B C) D) (tptp.r2_pboole A (tptp.k4_pboole A B D) C))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m1_pboole C A) (tptp.r6_pboole A (tptp.k4_pboole A (tptp.k2_pboole A B C) (tptp.k3_pboole A B C)) (tptp.k2_pboole A (tptp.k4_pboole A B C) (tptp.k4_pboole A C B))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k4_pboole A B C))) (=> (tptp.m1_pboole C A) (tptp.r6_pboole A (tptp.k4_pboole A _let_1 C) _let_1)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m1_pboole C A) (forall ((D $$unsorted)) (=> (tptp.m1_pboole D A) (tptp.r6_pboole A (tptp.k4_pboole A B (tptp.k2_pboole A C D)) (tptp.k3_pboole A (tptp.k4_pboole A B C) (tptp.k4_pboole A B D))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m1_pboole C A) (=> (tptp.r6_pboole A (tptp.k4_pboole A B C) (tptp.k4_pboole A C B)) (tptp.r6_pboole A B C)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m1_pboole C A) (forall ((D $$unsorted)) (=> (tptp.m1_pboole D A) (tptp.r6_pboole A (tptp.k3_pboole A B (tptp.k4_pboole A C D)) (tptp.k4_pboole A (tptp.k3_pboole A B C) (tptp.k3_pboole A B D))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m1_pboole C A) (forall ((D $$unsorted)) (=> (tptp.m1_pboole D A) (=> (tptp.r2_pboole A (tptp.k4_pboole A B C) D) (tptp.r2_pboole A B (tptp.k2_pboole A C D))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m1_pboole C A) (tptp.r2_pboole A (tptp.k4_pboole A B C) (tptp.k5_pboole A B C)))))) true (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k1_pboole A))) (=> (tptp.m1_pboole B A) (and (tptp.r6_pboole A (tptp.k5_pboole A B _let_1) B) (tptp.r6_pboole A (tptp.k5_pboole A _let_1 B) B))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (tptp.r6_pboole A (tptp.k5_pboole A B B) (tptp.k1_pboole A)))) true (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m1_pboole C A) (tptp.r6_pboole A (tptp.k2_pboole A B C) (tptp.k2_pboole A (tptp.k5_pboole A B C) (tptp.k3_pboole A B C))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m1_pboole C A) (tptp.r6_pboole A (tptp.k5_pboole A B C) (tptp.k4_pboole A (tptp.k2_pboole A B C) (tptp.k3_pboole A B C))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m1_pboole C A) (forall ((D $$unsorted)) (=> (tptp.m1_pboole D A) (tptp.r6_pboole A (tptp.k4_pboole A (tptp.k5_pboole A B C) D) (tptp.k2_pboole A (tptp.k4_pboole A B (tptp.k2_pboole A C D)) (tptp.k4_pboole A C (tptp.k2_pboole A B D)))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m1_pboole C A) (forall ((D $$unsorted)) (=> (tptp.m1_pboole D A) (tptp.r6_pboole A (tptp.k4_pboole A B (tptp.k5_pboole A C D)) (tptp.k2_pboole A (tptp.k4_pboole A B (tptp.k2_pboole A C D)) (tptp.k3_pboole A (tptp.k3_pboole A B C) D))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m1_pboole C A) (forall ((D $$unsorted)) (=> (tptp.m1_pboole D A) (tptp.r6_pboole A (tptp.k5_pboole A (tptp.k5_pboole A B C) D) (tptp.k5_pboole A B (tptp.k5_pboole A C D))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m1_pboole C A) (forall ((D $$unsorted)) (=> (tptp.m1_pboole D A) (=> (and (tptp.r2_pboole A (tptp.k4_pboole A B C) D) (tptp.r2_pboole A (tptp.k4_pboole A C B) D)) (tptp.r2_pboole A (tptp.k5_pboole A B C) D)))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m1_pboole C A) (tptp.r6_pboole A (tptp.k2_pboole A B C) (tptp.k5_pboole A B (tptp.k4_pboole A C B))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m1_pboole C A) (tptp.r6_pboole A (tptp.k3_pboole A B C) (tptp.k5_pboole A B (tptp.k4_pboole A B C))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m1_pboole C A) (tptp.r6_pboole A (tptp.k4_pboole A B C) (tptp.k5_pboole A B (tptp.k3_pboole A B C))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m1_pboole C A) (tptp.r6_pboole A (tptp.k4_pboole A B C) (tptp.k5_pboole A C (tptp.k2_pboole A C B))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m1_pboole C A) (tptp.r6_pboole A (tptp.k2_pboole A B C) (tptp.k5_pboole A (tptp.k5_pboole A B C) (tptp.k3_pboole A B C))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m1_pboole C A) (tptp.r6_pboole A (tptp.k3_pboole A B C) (tptp.k5_pboole A (tptp.k5_pboole A B C) (tptp.k2_pboole A B C))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m1_pboole C A) (forall ((D $$unsorted)) (=> (tptp.m1_pboole D A) (=> (or (tptp.r4_pboole A B C) (tptp.r4_pboole A B D)) (tptp.r4_pboole A B (tptp.k2_pboole A C D))))))))) true (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m1_pboole C A) (forall ((D $$unsorted)) (=> (tptp.m1_pboole D A) (=> (and (tptp.r4_pboole A B C) (tptp.r2_pboole A C D)) (tptp.r4_pboole A B D)))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m1_pboole C A) (forall ((D $$unsorted)) (=> (tptp.m1_pboole D A) (=> (and (tptp.r4_pboole A B C) (tptp.r2_pboole A B D)) (tptp.r4_pboole A D C)))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m1_pboole C A) (forall ((D $$unsorted)) (=> (tptp.m1_pboole D A) (forall ((E $$unsorted)) (=> (tptp.m1_pboole E A) (=> (and (tptp.r2_pboole A B C) (tptp.r2_pboole A D E) (tptp.r4_pboole A B D)) (tptp.r4_pboole A C E)))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m1_pboole C A) (forall ((D $$unsorted)) (=> (tptp.m1_pboole D A) (=> (tptp.r4_pboole A B (tptp.k3_pboole A C D)) (and (tptp.r4_pboole A B C) (tptp.r4_pboole A B D))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m1_pboole C A) (forall ((D $$unsorted)) (=> (tptp.m1_pboole D A) (=> (and (tptp.r4_pboole A B C) (tptp.r2_pboole A B D)) (tptp.r4_pboole A B (tptp.k3_pboole A C D))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m1_pboole C A) (forall ((D $$unsorted)) (=> (tptp.m1_pboole D A) (=> (tptp.r4_pboole A B (tptp.k4_pboole A C D)) (tptp.r4_pboole A B C)))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m1_pboole C A) (forall ((D $$unsorted)) (=> (tptp.m1_pboole D A) (not (and (not (tptp.r4_pboole A B C)) (tptp.r4_pboole A (tptp.k3_pboole A D B) (tptp.k3_pboole A D C)))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m1_pboole C A) (forall ((D $$unsorted)) (=> (tptp.m1_pboole D A) (=> (tptp.r4_pboole A B (tptp.k4_pboole A C D)) (tptp.r4_pboole A C (tptp.k4_pboole A B D))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m1_pboole C A) (forall ((D $$unsorted)) (=> (tptp.m1_pboole D A) (not (and (not (tptp.r5_pboole A B C)) (tptp.r2_pboole A C D) (tptp.r5_pboole A B D))))))))) true (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m1_pboole C A) (tptp.r5_pboole A B (tptp.k4_pboole A C B)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m1_pboole C A) (tptp.r5_pboole A (tptp.k3_pboole A B C) (tptp.k4_pboole A B C)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m1_pboole C A) (tptp.r5_pboole A (tptp.k3_pboole A B C) (tptp.k5_pboole A B C)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m1_pboole C A) (=> (tptp.r5_pboole A B C) (tptp.r6_pboole A (tptp.k3_pboole A B C) (tptp.k1_pboole A))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (not (and (not (= B (tptp.k1_pboole A))) (tptp.r5_pboole A B B))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m1_pboole C A) (forall ((D $$unsorted)) (=> (tptp.m1_pboole D A) (=> (and (tptp.r2_pboole A B C) (tptp.r2_pboole A B D) (tptp.r5_pboole A C D)) (tptp.r6_pboole A B (tptp.k1_pboole A))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m1_pboole C A) (forall ((D $$unsorted)) (=> (tptp.m1_pboole D A) (forall ((E $$unsorted)) (=> (tptp.m1_pboole E A) (=> (and (tptp.r6_pboole A (tptp.k2_pboole A B C) (tptp.k2_pboole A D E)) (tptp.r5_pboole A D B) (tptp.r5_pboole A E C)) (and (tptp.r6_pboole A D C) (tptp.r6_pboole A E B))))))))))) true (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m1_pboole C A) (=> (tptp.r5_pboole A B C) (tptp.r6_pboole A (tptp.k4_pboole A B C) B)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m1_pboole C A) (=> (tptp.r5_pboole A B C) (tptp.r6_pboole A (tptp.k4_pboole A (tptp.k2_pboole A B C) C) B)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m1_pboole C A) (=> (tptp.r6_pboole A (tptp.k4_pboole A B C) B) (tptp.r5_pboole A B C)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m1_pboole C A) (tptp.r5_pboole A (tptp.k4_pboole A B C) (tptp.k4_pboole A C B)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m1_pboole C A) (= (tptp.r7_pboole A B C) (forall ((D $$unsorted)) (=> (tptp.m1_pboole D A) (=> (tptp.r1_pboole A D B) (tptp.r1_pboole A D C))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m1_pboole C A) (=> (tptp.r2_pboole A B C) (tptp.r7_pboole A B C)))))) true (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m1_pboole C A) (forall ((D $$unsorted)) (=> (tptp.m1_pboole D A) (=> (and (tptp.r7_pboole A B C) (tptp.r7_pboole A C D)) (tptp.r7_pboole A B D)))))))) (tptp.r1_pboole tptp.k1_xboole_0 _let_81 _let_81) (forall ((A $$unsorted)) (=> (tptp.m1_pboole A tptp.k1_xboole_0) (= A tptp.k1_xboole_0))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m1_pboole C A) (not (and (tptp.r4_pboole A B C) (tptp.r5_pboole A B C))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (tptp.m1_pboole B A) (not (tptp.r3_pboole A B (tptp.k1_pboole A))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m1_pboole C A) (forall ((D $$unsorted)) (=> (tptp.m1_pboole D A) (not (and (tptp.r3_pboole A B C) (tptp.r3_pboole A B D) (= (tptp.k3_pboole A C D) (tptp.k1_pboole A)))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k1_pboole A))) (=> (tptp.m1_pboole B A) (and (not (tptp.r4_pboole A B _let_1)) (not (tptp.r4_pboole A _let_1 B)))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m1_pboole C A) (not (and (tptp.r6_pboole A (tptp.k3_pboole A B C) (tptp.k1_pboole A)) (tptp.r4_pboole A B C))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (tptp.m1_pboole B A) (not (and (tptp.r4_pboole A B B) (= B (tptp.k1_pboole A)))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (= (tptp.v3_relat_1 B) (forall ((C $$unsorted)) (=> (tptp.r2_hidden C A) (tptp.v1_xboole_0 (tptp.k1_funct_1 B C))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (= (tptp.v2_relat_1 B) (forall ((C $$unsorted)) (not (and (tptp.r2_hidden C A) (tptp.v1_xboole_0 (tptp.k1_funct_1 B C)))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (= (tptp.v3_relat_1 B) (tptp.r6_pboole A B (tptp.k1_pboole A))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m1_pboole C A) (=> (and (tptp.v3_relat_1 B) (tptp.r2_pboole A C B)) (tptp.v3_relat_1 C)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m1_pboole C A) (=> (and (tptp.v2_relat_1 B) (tptp.r2_pboole A B C)) (tptp.v2_relat_1 C)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m1_pboole C A) (=> (and (tptp.v2_relat_1 B) (tptp.r7_pboole A B C)) (tptp.r2_pboole A B C)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m1_pboole C A) (=> (and (tptp.v2_relat_1 B) (tptp.r7_pboole A B C)) (tptp.v2_relat_1 C)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v2_relat_1 B) (tptp.m1_pboole B A)) (exists ((C $$unsorted)) (and (tptp.m1_pboole C A) (tptp.r1_pboole A C B))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (and (tptp.v2_relat_1 C) (tptp.m1_pboole C A)) (=> (forall ((D $$unsorted)) (=> (tptp.m1_pboole D A) (= (tptp.r1_pboole A D C) (tptp.r1_pboole A D B)))) (tptp.r6_pboole A C B)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m1_pboole C A) (forall ((D $$unsorted)) (=> (and (tptp.v2_relat_1 D) (tptp.m1_pboole D A)) (=> (forall ((E $$unsorted)) (=> (tptp.m1_pboole E A) (= (tptp.r1_pboole A E D) (and (tptp.r1_pboole A E B) (tptp.r1_pboole A E C))))) (tptp.r6_pboole A D (tptp.k3_pboole A B C))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v2_relat_1 B) (tptp.m1_pboole B A)) (not (tptp.r2_hidden tptp.k1_xboole_0 (tptp.k2_relat_1 B))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k2_relat_1 B)) (exists ((D $$unsorted)) (and (tptp.r2_hidden D A) (= C (tptp.k1_funct_1 B D)))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.r2_hidden C A) (tptp.m1_subset_1 (tptp.k1_funct_1 B C) (tptp.k2_relat_1 B)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m1_pboole C A) (= (tptp.m2_pboole C A B) (forall ((D $$unsorted)) (=> (tptp.r2_hidden D A) (tptp.m1_subset_1 (tptp.k1_funct_1 C D) (tptp.k1_funct_1 B D))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m1_pboole C A) (forall ((D $$unsorted)) (=> (tptp.m1_pboole D A) (= (tptp.m3_pboole D A B C) (forall ((E $$unsorted)) (let ((_let_1 (tptp.k1_funct_1 C E))) (let ((_let_2 (tptp.k1_funct_1 B E))) (let ((_let_3 (tptp.k1_funct_1 D E))) (=> (tptp.r2_hidden E 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)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m1_pboole C (tptp.k3_finseq_2 A)) (= (= C (tptp.k6_pboole A B)) (forall ((D $$unsorted)) (=> (tptp.m2_finseq_2 D A (tptp.k3_finseq_2 A)) (= (tptp.k1_funct_1 C D) (tptp.k4_card_3 (tptp.k5_relat_1 D B)))))))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k3_finseq_2 (tptp.k1_tarski A)))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B tptp.k5_numbers _let_1) (tptp.m2_relset_1 B tptp.k5_numbers _let_1)) (= (= B (tptp.k9_pboole A)) (forall ((C $$unsorted)) (=> (tptp.m2_subset_1 C tptp.k1_numbers tptp.k5_numbers) (= (tptp.k8_funct_2 tptp.k5_numbers (tptp.k3_finseq_2 (tptp.k1_tarski A)) B C) (tptp.k2_finseq_2 C A)))))))) (forall ((A $$unsorted)) (=> (tptp.m2_subset_1 A tptp.k1_numbers tptp.k5_numbers) (forall ((B $$unsorted) (C $$unsorted)) (= (tptp.k5_relat_1 (tptp.k2_finseq_2 A B) (tptp.k2_funcop_1 (tptp.k1_tarski B) C)) (tptp.k2_finseq_2 A C))))) (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 $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k1_tarski C))) (=> (tptp.m1_pboole D _let_1) (=> (= D (tptp.k2_funcop_1 _let_1 A)) (= (tptp.k1_funct_1 (tptp.k7_pboole tptp.k5_numbers (tptp.k3_finseq_2 _let_1) (tptp.k9_pboole C) (tptp.k6_pboole _let_1 D)) B) (tptp.k1_funct_2 (tptp.k2_finseq_1 B) A)))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m1_pboole C A) (forall ((D $$unsorted)) (=> (tptp.m1_pboole D A) (= (= D (tptp.k11_pboole A B C)) (forall ((E $$unsorted)) (=> (tptp.r2_hidden E A) (= (tptp.k1_funct_1 D E) (tptp.k2_zfmisc_1 (tptp.k1_funct_1 B E) (tptp.k1_funct_1 C E)))))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m1_pboole C A) (forall ((D $$unsorted)) (=> (tptp.m1_pboole D A) (= (= D (tptp.k12_pboole A B C)) (forall ((E $$unsorted)) (=> (tptp.r2_hidden E A) (= (tptp.k1_funct_1 D E) (tptp.k1_funct_2 (tptp.k1_funct_1 B E) (tptp.k1_funct_1 C E)))))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m1_pboole C A) (= (tptp.m4_pboole C A B) (tptp.r2_pboole A C B)))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_funcop_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (tptp.v1_funcop_1 B)) (forall ((C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C) (tptp.v1_funcop_1 C)) (= (= C (tptp.k13_pboole A B)) (and (= (tptp.k1_relat_1 C) (tptp.k3_xboole_0 (tptp.k1_relat_1 A) (tptp.k1_relat_1 B))) (forall ((D $$unsorted)) (=> (tptp.r2_hidden D (tptp.k1_relat_1 C)) (= (tptp.k1_funct_1 C D) (tptp.k5_relat_1 (tptp.k1_funct_1 A D) (tptp.k1_funct_1 B D))))))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (and (tptp.v1_funcop_1 C) (tptp.m1_pboole C A)) (forall ((D $$unsorted)) (=> (tptp.m1_pboole D A) (= (= D (tptp.k14_pboole A B C)) (forall ((E $$unsorted)) (=> (tptp.r2_hidden E A) (= (tptp.k1_funct_1 D E) (tptp.k9_relat_1 (tptp.k1_funct_1 C E) (tptp.k1_funct_1 B E)))))))))))) (=> (forall ((A $$unsorted)) (not (and (tptp.r2_hidden A tptp.f1_s1_pboole) (= (tptp.f2_s1_pboole A) tptp.k1_xboole_0)))) (exists ((A $$unsorted)) (and (tptp.m1_pboole A tptp.f1_s1_pboole) (forall ((B $$unsorted)) (=> (tptp.r2_hidden B tptp.f1_s1_pboole) (tptp.r2_hidden (tptp.k1_funct_1 A B) (tptp.f2_s1_pboole B))))))) (exists ((A $$unsorted)) (and (tptp.m1_pboole A tptp.f1_s2_pboole) (forall ((B $$unsorted)) (=> (tptp.r2_hidden B tptp.f1_s2_pboole) (forall ((C $$unsorted)) (= (tptp.r2_hidden C (tptp.k1_funct_1 A B)) (and (tptp.r2_hidden C (tptp.k1_funct_1 tptp.f2_s2_pboole B)) (tptp.p1_s2_pboole B C)))))))) (=> (forall ((A $$unsorted)) (not (and (tptp.r2_hidden A tptp.f1_s3_pboole) (forall ((B $$unsorted)) (not (tptp.p1_s3_pboole A B)))))) (exists ((A $$unsorted)) (and (tptp.m1_pboole A tptp.f1_s3_pboole) (forall ((B $$unsorted)) (=> (tptp.r2_hidden B tptp.f1_s3_pboole) (tptp.p1_s3_pboole B (tptp.k1_funct_1 A B))))))) (exists ((A $$unsorted)) (and (tptp.m1_pboole A tptp.f1_s4_pboole) (forall ((B $$unsorted)) (=> (tptp.r2_hidden B tptp.f1_s4_pboole) (= (tptp.k1_funct_1 A B) (tptp.f2_s4_pboole B)))))) (exists ((A $$unsorted)) (and (tptp.m1_pboole A tptp.f1_s5_pboole) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.f1_s5_pboole) (= (tptp.k1_funct_1 A B) (tptp.f2_s5_pboole B)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)))) (forall ((A $$unsorted)) (exists ((B $$unsorted)) (tptp.m1_pboole B A))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m2_pboole C A B) (tptp.m1_pboole C A))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (exists ((C $$unsorted)) (tptp.m2_pboole C A B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.m1_pboole B A) (tptp.m1_pboole C A)) (forall ((D $$unsorted)) (=> (tptp.m3_pboole D A B C) (tptp.m1_pboole D A))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.m1_pboole B A) (tptp.m1_pboole C A)) (exists ((D $$unsorted)) (tptp.m3_pboole D A B C)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m4_pboole C A B) (tptp.m1_pboole C A))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (exists ((C $$unsorted)) (tptp.m4_pboole C A B)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (= (tptp.v1_pboole B A) (tptp.v3_relat_1 B)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (= (tptp.v2_pboole B A) (tptp.v2_relat_1 B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.m1_pboole B A) (tptp.m1_pboole C A)) (tptp.r2_pboole A B B))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.m1_pboole B A) (tptp.m1_pboole C A)) (=> (tptp.r3_pboole A B C) (not (tptp.r3_pboole A C B))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.m1_pboole B A) (tptp.m1_pboole C A)) (= (tptp.r3_pboole A B C) (tptp.r1_pboole A B C)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.m1_pboole B A) (tptp.m1_pboole C A)) (=> (tptp.r4_pboole A B C) (tptp.r4_pboole A C B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.m1_pboole B A) (tptp.m1_pboole C A)) (=> (tptp.r5_pboole A B C) (tptp.r5_pboole A C B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.m1_pboole B A) (tptp.m1_pboole C A)) (=> (tptp.r6_pboole A B C) (tptp.r6_pboole A C B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.m1_pboole B A) (tptp.m1_pboole C A)) (tptp.r6_pboole A B B))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.m1_pboole B A) (tptp.m1_pboole C A)) (= (tptp.r6_pboole A B C) (= B C)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.m1_pboole B A) (tptp.m1_pboole C A)) (tptp.r7_pboole A B B))) (forall ((A $$unsorted)) (tptp.m1_pboole (tptp.k1_pboole A) A)) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.m1_pboole B A) (tptp.m1_pboole C A)) (tptp.m1_pboole (tptp.k2_pboole A B C) A))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.m1_pboole B A) (tptp.m1_pboole C A)) (= (tptp.k2_pboole A B C) (tptp.k2_pboole A C B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.m1_pboole B A) (tptp.m1_pboole C A)) (= (tptp.k2_pboole A B B) B))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.m1_pboole B A) (tptp.m1_pboole C A)) (tptp.m1_pboole (tptp.k3_pboole A B C) A))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.m1_pboole B A) (tptp.m1_pboole C A)) (= (tptp.k3_pboole A B C) (tptp.k3_pboole A C B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.m1_pboole B A) (tptp.m1_pboole C A)) (= (tptp.k3_pboole A B B) B))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.m1_pboole B A) (tptp.m1_pboole C A)) (tptp.m1_pboole (tptp.k4_pboole A B C) A))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.m1_pboole B A) (tptp.m1_pboole C A)) (tptp.m1_pboole (tptp.k5_pboole A B C) A))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.m1_pboole B A) (tptp.m1_pboole C A)) (= (tptp.k5_pboole A B C) (tptp.k5_pboole A C B)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (tptp.m1_pboole (tptp.k6_pboole A B) (tptp.k3_finseq_2 A)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C A B) (tptp.m1_relset_1 C A B) (tptp.m1_pboole D B)) (tptp.m1_pboole (tptp.k7_pboole A B C D) A))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C A B) (tptp.m1_relset_1 C A B) (tptp.m1_pboole D B)) (= (tptp.k7_pboole A B C D) (tptp.k5_relat_1 C D)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k8_pboole A B C D))) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C A B) (tptp.m1_relset_1 C A B) (tptp.v2_relat_1 D) (tptp.m1_pboole D B)) (and (tptp.v2_relat_1 _let_1) (tptp.m1_pboole _let_1 A))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C A B) (tptp.m1_relset_1 C A B) (tptp.v2_relat_1 D) (tptp.m1_pboole D B)) (= (tptp.k8_pboole A B C D) (tptp.k5_relat_1 C D)))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k3_finseq_2 (tptp.k1_tarski A)))) (let ((_let_2 (tptp.k9_pboole A))) (and (tptp.v1_funct_1 _let_2) (tptp.v1_funct_2 _let_2 tptp.k5_numbers _let_1) (tptp.m2_relset_1 _let_2 tptp.k5_numbers _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k1_tarski B))) (let ((_let_2 (tptp.k10_pboole A B))) (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)) (= (tptp.k10_pboole A B) (tptp.k2_funcop_1 A B))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.m1_pboole B A) (tptp.m1_pboole C A)) (tptp.m1_pboole (tptp.k11_pboole A B C) A))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.m1_pboole B A) (tptp.m1_pboole C A)) (tptp.m1_pboole (tptp.k12_pboole A B C) A))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k13_pboole A B))) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_funcop_1 A) (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (tptp.v1_funcop_1 B)) (and (tptp.v1_relat_1 _let_1) (tptp.v1_funct_1 _let_1) (tptp.v1_funcop_1 _let_1))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.m1_pboole B A) (tptp.v1_funcop_1 C) (tptp.m1_pboole C A)) (tptp.m1_pboole (tptp.k14_pboole A B C) A))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.v1_funct_2 A tptp.k5_numbers tptp.k1_numbers))) (let ((_let_2 (tptp.v1_funct_1 A))) (=> (tptp.m1_relset_1 A tptp.k5_numbers tptp.k1_numbers) (=> (and _let_2 _let_1 (tptp.v5_seqm_3 A)) (and _let_2 _let_1 (tptp.v1_seq_1 A) (tptp.v4_seq_2 A))))))) true true true true true true true (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A (tptp.k1_zfmisc_1 tptp.k1_numbers)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 tptp.k1_numbers)) (not (and (forall ((C $$unsorted)) (=> (tptp.v1_xreal_0 C) (forall ((D $$unsorted)) (=> (tptp.v1_xreal_0 D) (not (and (tptp.r2_hidden C A) (tptp.r2_hidden D B) (tptp.r1_xreal_0 D C))))))) (forall ((C $$unsorted)) (=> (tptp.v1_xreal_0 C) (exists ((D $$unsorted)) (and (tptp.v1_xreal_0 D) (exists ((E $$unsorted)) (and (tptp.v1_xreal_0 E) (tptp.r2_hidden D A) (tptp.r2_hidden E B) (not (and (tptp.r1_xreal_0 D C) (tptp.r1_xreal_0 C E))))))))))))))) (forall ((A $$unsorted)) (=> (tptp.v1_xreal_0 A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 tptp.k1_numbers)) (=> (forall ((C $$unsorted)) (=> (tptp.v1_xreal_0 C) (=> (tptp.r2_hidden C B) (tptp.r2_hidden (tptp.k2_xcmplx_0 C A) B)))) (or (tptp.r1_xreal_0 A tptp.np__0) (forall ((C $$unsorted)) (=> (tptp.v1_xreal_0 C) (not (tptp.r2_hidden C B)))) (forall ((C $$unsorted)) (=> (tptp.v1_xreal_0 C) (exists ((D $$unsorted)) (and (tptp.v1_xreal_0 D) (tptp.r2_hidden D B) (not (tptp.r1_xreal_0 D C)))))))))))) (forall ((A $$unsorted)) (=> (tptp.v1_xreal_0 A) (not (forall ((B $$unsorted)) (=> (tptp.m2_subset_1 B tptp.k1_numbers tptp.k5_numbers) (tptp.r1_xreal_0 B A)))))) (forall ((A $$unsorted)) (=> (tptp.v2_membered A) (= (tptp.v1_seq_4 A) (exists ((B $$unsorted)) (and (tptp.v1_xreal_0 B) (forall ((C $$unsorted)) (=> (tptp.v1_xreal_0 C) (=> (tptp.r2_hidden C A) (tptp.r1_xreal_0 C B))))))))) (forall ((A $$unsorted)) (=> (tptp.v2_membered A) (= (tptp.v2_seq_4 A) (exists ((B $$unsorted)) (and (tptp.v1_xreal_0 B) (forall ((C $$unsorted)) (=> (tptp.v1_xreal_0 C) (=> (tptp.r2_hidden C A) (tptp.r1_xreal_0 B C))))))))) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A (tptp.k1_zfmisc_1 tptp.k1_numbers)) (= (tptp.v3_seq_4 A) (and (tptp.v2_seq_4 A) (tptp.v1_seq_4 A))))) true true true (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A (tptp.k1_zfmisc_1 tptp.k1_numbers)) (= (tptp.v3_seq_4 A) (exists ((B $$unsorted)) (and (tptp.v1_xreal_0 B) (not (tptp.r1_xreal_0 B tptp.np__0)) (forall ((C $$unsorted)) (=> (tptp.v1_xreal_0 C) (not (and (tptp.r2_hidden C A) (tptp.r1_xreal_0 B (tptp.k18_complex1 C))))))))))) (forall ((A $$unsorted)) (=> (tptp.v1_xreal_0 A) (tptp.v3_seq_4 (tptp.k1_seq_4 A)))) (forall ((A $$unsorted)) (=> (tptp.v2_membered A) (not (and (not (tptp.v1_xboole_0 A)) (tptp.v1_seq_4 A) (forall ((B $$unsorted)) (=> (tptp.v1_xreal_0 B) (not (and (forall ((C $$unsorted)) (=> (tptp.v1_xreal_0 C) (=> (tptp.r2_hidden C A) (tptp.r1_xreal_0 C B)))) (forall ((C $$unsorted)) (=> (tptp.v1_xreal_0 C) (not (and (not (tptp.r1_xreal_0 C tptp.np__0)) (forall ((D $$unsorted)) (=> (tptp.v1_xreal_0 D) (not (and (tptp.r2_hidden D A) (not (tptp.r1_xreal_0 D (tptp.k6_xcmplx_0 B C))))))))))))))))))) (forall ((A $$unsorted)) (=> (tptp.v1_xreal_0 A) (forall ((B $$unsorted)) (=> (tptp.v1_xreal_0 B) (forall ((C $$unsorted)) (=> (tptp.v2_membered C) (=> (and (forall ((D $$unsorted)) (=> (tptp.v1_xreal_0 D) (=> (tptp.r2_hidden D C) (tptp.r1_xreal_0 D A)))) (forall ((D $$unsorted)) (=> (tptp.v1_xreal_0 D) (not (and (not (tptp.r1_xreal_0 D tptp.np__0)) (forall ((E $$unsorted)) (=> (tptp.v1_xreal_0 E) (not (and (tptp.r2_hidden E C) (not (tptp.r1_xreal_0 E (tptp.k6_xcmplx_0 A D))))))))))) (forall ((D $$unsorted)) (=> (tptp.v1_xreal_0 D) (=> (tptp.r2_hidden D C) (tptp.r1_xreal_0 D B)))) (forall ((D $$unsorted)) (=> (tptp.v1_xreal_0 D) (not (and (not (tptp.r1_xreal_0 D tptp.np__0)) (forall ((E $$unsorted)) (=> (tptp.v1_xreal_0 E) (not (and (tptp.r2_hidden E C) (not (tptp.r1_xreal_0 E (tptp.k6_xcmplx_0 B D)))))))))))) (= A B)))))))) (forall ((A $$unsorted)) (=> (tptp.v2_membered A) (not (and (not (tptp.v1_xboole_0 A)) (tptp.v2_seq_4 A) (forall ((B $$unsorted)) (=> (tptp.v1_xreal_0 B) (not (and (forall ((C $$unsorted)) (=> (tptp.v1_xreal_0 C) (=> (tptp.r2_hidden C A) (tptp.r1_xreal_0 B C)))) (forall ((C $$unsorted)) (=> (tptp.v1_xreal_0 C) (not (and (not (tptp.r1_xreal_0 C tptp.np__0)) (forall ((D $$unsorted)) (=> (tptp.v1_xreal_0 D) (not (and (tptp.r2_hidden D A) (not (tptp.r1_xreal_0 (tptp.k2_xcmplx_0 B C) D)))))))))))))))))) (forall ((A $$unsorted)) (=> (tptp.v1_xreal_0 A) (forall ((B $$unsorted)) (=> (tptp.v1_xreal_0 B) (forall ((C $$unsorted)) (=> (tptp.v2_membered C) (=> (and (forall ((D $$unsorted)) (=> (tptp.v1_xreal_0 D) (=> (tptp.r2_hidden D C) (tptp.r1_xreal_0 A D)))) (forall ((D $$unsorted)) (=> (tptp.v1_xreal_0 D) (not (and (not (tptp.r1_xreal_0 D tptp.np__0)) (forall ((E $$unsorted)) (=> (tptp.v1_xreal_0 E) (not (and (tptp.r2_hidden E C) (not (tptp.r1_xreal_0 (tptp.k2_xcmplx_0 A D) E)))))))))) (forall ((D $$unsorted)) (=> (tptp.v1_xreal_0 D) (=> (tptp.r2_hidden D C) (tptp.r1_xreal_0 B D)))) (forall ((D $$unsorted)) (=> (tptp.v1_xreal_0 D) (not (and (not (tptp.r1_xreal_0 D tptp.np__0)) (forall ((E $$unsorted)) (=> (tptp.v1_xreal_0 E) (not (and (tptp.r2_hidden E C) (not (tptp.r1_xreal_0 (tptp.k2_xcmplx_0 B D) E))))))))))) (= A B)))))))) (forall ((A $$unsorted)) (=> (tptp.v2_membered A) (=> (tptp.v1_seq_4 A) (or (tptp.v1_xboole_0 A) (forall ((B $$unsorted)) (=> (tptp.v1_xreal_0 B) (= (= B (tptp.k2_seq_4 A)) (and (forall ((C $$unsorted)) (=> (tptp.v1_xreal_0 C) (=> (tptp.r2_hidden C A) (tptp.r1_xreal_0 C B)))) (forall ((C $$unsorted)) (=> (tptp.v1_xreal_0 C) (not (and (not (tptp.r1_xreal_0 C tptp.np__0)) (forall ((D $$unsorted)) (=> (tptp.v1_xreal_0 D) (not (and (tptp.r2_hidden D A) (not (tptp.r1_xreal_0 D (tptp.k6_xcmplx_0 B C))))))))))))))))))) (forall ((A $$unsorted)) (=> (tptp.v2_membered A) (=> (tptp.v2_seq_4 A) (or (tptp.v1_xboole_0 A) (forall ((B $$unsorted)) (=> (tptp.v1_xreal_0 B) (= (= B (tptp.k3_seq_4 A)) (and (forall ((C $$unsorted)) (=> (tptp.v1_xreal_0 C) (=> (tptp.r2_hidden C A) (tptp.r1_xreal_0 B C)))) (forall ((C $$unsorted)) (=> (tptp.v1_xreal_0 C) (not (and (not (tptp.r1_xreal_0 C tptp.np__0)) (forall ((D $$unsorted)) (=> (tptp.v1_xreal_0 D) (not (and (tptp.r2_hidden D A) (not (tptp.r1_xreal_0 (tptp.k2_xcmplx_0 B C) D)))))))))))))))))) true true (forall ((A $$unsorted)) (let ((_let_1 (tptp.k1_seq_4 A))) (=> (tptp.v1_xreal_0 A) (and (= (tptp.k5_seq_4 _let_1) A) (= (tptp.k4_seq_4 _let_1) A))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k1_seq_4 A))) (=> (tptp.v1_xreal_0 A) (= (tptp.k5_seq_4 _let_1) (tptp.k4_seq_4 _let_1))))) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A (tptp.k1_zfmisc_1 tptp.k1_numbers)) (=> (tptp.v3_seq_4 A) (or (tptp.v1_xboole_0 A) (tptp.r1_xreal_0 (tptp.k5_seq_4 A) (tptp.k4_seq_4 A)))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.r1_xreal_0 (tptp.k4_seq_4 A) (tptp.k5_seq_4 A)))) (=> (tptp.m1_subset_1 A (tptp.k1_zfmisc_1 tptp.k1_numbers)) (=> (tptp.v3_seq_4 A) (or (tptp.v1_xboole_0 A) (and (not (and (exists ((B $$unsorted)) (and (tptp.v1_xreal_0 B) (exists ((C $$unsorted)) (and (tptp.v1_xreal_0 C) (tptp.r2_hidden B A) (tptp.r2_hidden C A) (not (= C B)))))) _let_1)) (not (and (not _let_1) (forall ((B $$unsorted)) (=> (tptp.v1_xreal_0 B) (forall ((C $$unsorted)) (=> (tptp.v1_xreal_0 C) (not (and (tptp.r2_hidden B A) (tptp.r2_hidden C A) (not (= C B)))))))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_funct_1 A) (tptp.v1_funct_2 A tptp.k5_numbers tptp.k1_numbers) (tptp.m2_relset_1 A tptp.k5_numbers tptp.k1_numbers)) (=> (tptp.v4_seq_2 A) (tptp.v4_seq_2 (tptp.k22_seq_1 A))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_funct_1 A) (tptp.v1_funct_2 A tptp.k5_numbers tptp.k1_numbers) (tptp.m2_relset_1 A tptp.k5_numbers tptp.k1_numbers)) (=> (tptp.v4_seq_2 A) (= (tptp.k2_seq_2 (tptp.k22_seq_1 A)) (tptp.k18_complex1 (tptp.k2_seq_2 A)))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k22_seq_1 A))) (=> (and (tptp.v1_funct_1 A) (tptp.v1_funct_2 A tptp.k5_numbers tptp.k1_numbers) (tptp.m2_relset_1 A tptp.k5_numbers tptp.k1_numbers)) (=> (and (tptp.v4_seq_2 _let_1) (= (tptp.k2_seq_2 _let_1) tptp.np__0)) (and (tptp.v4_seq_2 A) (= (tptp.k2_seq_2 A) tptp.np__0)))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_funct_1 A) (tptp.v1_funct_2 A tptp.k5_numbers tptp.k1_numbers) (tptp.m2_relset_1 A tptp.k5_numbers tptp.k1_numbers)) (forall ((B $$unsorted)) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B tptp.k5_numbers tptp.k1_numbers) (tptp.m2_relset_1 B tptp.k5_numbers tptp.k1_numbers)) (=> (and (tptp.m1_seqm_3 A B) (tptp.v4_seq_2 B)) (tptp.v4_seq_2 A)))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_funct_1 A) (tptp.v1_funct_2 A tptp.k5_numbers tptp.k1_numbers) (tptp.m2_relset_1 A tptp.k5_numbers tptp.k1_numbers)) (forall ((B $$unsorted)) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B tptp.k5_numbers tptp.k1_numbers) (tptp.m2_relset_1 B tptp.k5_numbers tptp.k1_numbers)) (=> (and (tptp.m1_seqm_3 A B) (tptp.v4_seq_2 B)) (= (tptp.k2_seq_2 A) (tptp.k2_seq_2 B))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_funct_1 A) (tptp.v1_funct_2 A tptp.k5_numbers tptp.k1_numbers) (tptp.m2_relset_1 A tptp.k5_numbers tptp.k1_numbers)) (forall ((B $$unsorted)) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B tptp.k5_numbers tptp.k1_numbers) (tptp.m2_relset_1 B tptp.k5_numbers tptp.k1_numbers)) (=> (tptp.v4_seq_2 A) (or (forall ((C $$unsorted)) (=> (tptp.m2_subset_1 C tptp.k1_numbers tptp.k5_numbers) (exists ((D $$unsorted)) (and (tptp.m2_subset_1 D tptp.k1_numbers tptp.k5_numbers) (tptp.r1_xreal_0 C D) (not (= (tptp.k8_funct_2 tptp.k5_numbers tptp.k1_numbers B D) (tptp.k8_funct_2 tptp.k5_numbers tptp.k1_numbers A D))))))) (tptp.v4_seq_2 B))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_funct_1 A) (tptp.v1_funct_2 A tptp.k5_numbers tptp.k1_numbers) (tptp.m2_relset_1 A tptp.k5_numbers tptp.k1_numbers)) (forall ((B $$unsorted)) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B tptp.k5_numbers tptp.k1_numbers) (tptp.m2_relset_1 B tptp.k5_numbers tptp.k1_numbers)) (=> (tptp.v4_seq_2 A) (or (forall ((C $$unsorted)) (=> (tptp.m2_subset_1 C tptp.k1_numbers tptp.k5_numbers) (exists ((D $$unsorted)) (and (tptp.m2_subset_1 D tptp.k1_numbers tptp.k5_numbers) (tptp.r1_xreal_0 C D) (not (= (tptp.k8_funct_2 tptp.k5_numbers tptp.k1_numbers B D) (tptp.k8_funct_2 tptp.k5_numbers tptp.k1_numbers A D))))))) (= (tptp.k2_seq_2 A) (tptp.k2_seq_2 B)))))))) (forall ((A $$unsorted)) (=> (tptp.m2_subset_1 A tptp.k1_numbers tptp.k5_numbers) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k1_seqm_3 B A))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B tptp.k5_numbers tptp.k1_numbers) (tptp.m2_relset_1 B tptp.k5_numbers tptp.k1_numbers)) (=> (tptp.v4_seq_2 B) (and (tptp.v4_seq_2 _let_1) (= (tptp.k2_seq_2 _let_1) (tptp.k2_seq_2 B))))))))) true (forall ((A $$unsorted)) (=> (and (tptp.v1_funct_1 A) (tptp.v1_funct_2 A tptp.k5_numbers tptp.k1_numbers) (tptp.m2_relset_1 A tptp.k5_numbers tptp.k1_numbers)) (forall ((B $$unsorted)) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B tptp.k5_numbers tptp.k1_numbers) (tptp.m2_relset_1 B tptp.k5_numbers tptp.k1_numbers)) (=> (tptp.v4_seq_2 A) (or (forall ((C $$unsorted)) (=> (tptp.m2_subset_1 C tptp.k1_numbers tptp.k5_numbers) (not (= A (tptp.k1_seqm_3 B C))))) (tptp.v4_seq_2 B))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_funct_1 A) (tptp.v1_funct_2 A tptp.k5_numbers tptp.k1_numbers) (tptp.m2_relset_1 A tptp.k5_numbers tptp.k1_numbers)) (forall ((B $$unsorted)) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B tptp.k5_numbers tptp.k1_numbers) (tptp.m2_relset_1 B tptp.k5_numbers tptp.k1_numbers)) (=> (tptp.v4_seq_2 A) (or (forall ((C $$unsorted)) (=> (tptp.m2_subset_1 C tptp.k1_numbers tptp.k5_numbers) (not (= A (tptp.k1_seqm_3 B C))))) (= (tptp.k2_seq_2 B) (tptp.k2_seq_2 A)))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_funct_1 A) (tptp.v1_funct_2 A tptp.k5_numbers tptp.k1_numbers) (tptp.m2_relset_1 A tptp.k5_numbers tptp.k1_numbers)) (not (and (tptp.v4_seq_2 A) (not (= (tptp.k2_seq_2 A) tptp.np__0)) (forall ((B $$unsorted)) (=> (tptp.m2_subset_1 B tptp.k1_numbers tptp.k5_numbers) (not (tptp.v2_relat_1 (tptp.k1_seqm_3 A B))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_funct_1 A) (tptp.v1_funct_2 A tptp.k5_numbers tptp.k1_numbers) (tptp.m2_relset_1 A tptp.k5_numbers tptp.k1_numbers)) (not (and (tptp.v4_seq_2 A) (not (= (tptp.k2_seq_2 A) tptp.np__0)) (forall ((B $$unsorted)) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B tptp.k5_numbers tptp.k1_numbers) (tptp.m2_relset_1 B tptp.k5_numbers tptp.k1_numbers)) (not (and (tptp.m1_seqm_3 B A) (tptp.v2_relat_1 B))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_funct_1 A) (tptp.v1_funct_2 A tptp.k5_numbers tptp.k1_numbers) (tptp.m2_relset_1 A tptp.k5_numbers tptp.k1_numbers)) (=> (tptp.v5_seqm_3 A) (tptp.v4_seq_2 A)))) (forall ((A $$unsorted)) (=> (tptp.v1_xreal_0 A) (forall ((B $$unsorted)) (let ((_let_1 (tptp.v5_seqm_3 B))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B tptp.k5_numbers tptp.k1_numbers) (tptp.m2_relset_1 B tptp.k5_numbers tptp.k1_numbers)) (=> (or (and _let_1 (tptp.r2_hidden A (tptp.k2_relat_1 B))) (and _let_1 (exists ((C $$unsorted)) (and (tptp.m2_subset_1 C tptp.k1_numbers tptp.k5_numbers) (= (tptp.k8_funct_2 tptp.k5_numbers tptp.k1_numbers B C) A))))) (= (tptp.k2_seq_2 B) A))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_funct_1 A) (tptp.v1_funct_2 A tptp.k5_numbers tptp.k1_numbers) (tptp.m2_relset_1 A tptp.k5_numbers tptp.k1_numbers)) (=> (tptp.v5_seqm_3 A) (forall ((B $$unsorted)) (=> (tptp.m2_subset_1 B tptp.k1_numbers tptp.k5_numbers) (= (tptp.k2_seq_2 A) (tptp.k8_funct_2 tptp.k5_numbers tptp.k1_numbers A B))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_funct_1 A) (tptp.v1_funct_2 A tptp.k5_numbers tptp.k1_numbers) (tptp.m2_relset_1 A tptp.k5_numbers tptp.k1_numbers)) (=> (tptp.v4_seq_2 A) (or (= (tptp.k2_seq_2 A) tptp.np__0) (forall ((B $$unsorted)) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B tptp.k5_numbers tptp.k1_numbers) (tptp.m2_relset_1 B tptp.k5_numbers tptp.k1_numbers)) (=> (and (tptp.m1_seqm_3 B A) (tptp.v2_relat_1 B)) (= (tptp.k2_seq_2 (tptp.k18_seq_1 B)) (tptp.k2_real_1 (tptp.k2_seq_2 A)))))))))) (forall ((A $$unsorted)) (=> (tptp.v1_xreal_0 A) (forall ((B $$unsorted)) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B tptp.k5_numbers tptp.k1_numbers) (tptp.m2_relset_1 B tptp.k5_numbers tptp.k1_numbers)) (=> (forall ((C $$unsorted)) (=> (tptp.m2_subset_1 C tptp.k1_numbers tptp.k5_numbers) (= (tptp.k8_funct_2 tptp.k5_numbers tptp.k1_numbers B C) (tptp.k7_xcmplx_0 tptp.np__1 (tptp.k2_xcmplx_0 C A))))) (or (tptp.r1_xreal_0 A tptp.np__0) (tptp.v4_seq_2 B))))))) (forall ((A $$unsorted)) (=> (tptp.v1_xreal_0 A) (forall ((B $$unsorted)) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B tptp.k5_numbers tptp.k1_numbers) (tptp.m2_relset_1 B tptp.k5_numbers tptp.k1_numbers)) (=> (forall ((C $$unsorted)) (=> (tptp.m2_subset_1 C tptp.k1_numbers tptp.k5_numbers) (= (tptp.k8_funct_2 tptp.k5_numbers tptp.k1_numbers B C) (tptp.k7_xcmplx_0 tptp.np__1 (tptp.k2_xcmplx_0 C A))))) (or (tptp.r1_xreal_0 A tptp.np__0) (= (tptp.k2_seq_2 B) tptp.np__0))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_funct_1 A) (tptp.v1_funct_2 A tptp.k5_numbers tptp.k1_numbers) (tptp.m2_relset_1 A tptp.k5_numbers tptp.k1_numbers)) (=> (forall ((B $$unsorted)) (=> (tptp.m2_subset_1 B tptp.k1_numbers tptp.k5_numbers) (= (tptp.k8_funct_2 tptp.k5_numbers tptp.k1_numbers A B) (tptp.k6_real_1 tptp.np__1 (tptp.k1_nat_1 B tptp.np__1))))) (and (tptp.v4_seq_2 A) (= (tptp.k2_seq_2 A) tptp.np__0))))) (forall ((A $$unsorted)) (=> (tptp.v1_xreal_0 A) (forall ((B $$unsorted)) (=> (tptp.v1_xreal_0 B) (forall ((C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C tptp.k5_numbers tptp.k1_numbers) (tptp.m2_relset_1 C tptp.k5_numbers tptp.k1_numbers)) (=> (forall ((D $$unsorted)) (=> (tptp.m2_subset_1 D tptp.k1_numbers tptp.k5_numbers) (= (tptp.k8_funct_2 tptp.k5_numbers tptp.k1_numbers C D) (tptp.k7_xcmplx_0 B (tptp.k2_xcmplx_0 D A))))) (or (tptp.r1_xreal_0 A tptp.np__0) (and (tptp.v4_seq_2 C) (= (tptp.k2_seq_2 C) tptp.np__0)))))))))) (forall ((A $$unsorted)) (=> (tptp.v1_xreal_0 A) (forall ((B $$unsorted)) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B tptp.k5_numbers tptp.k1_numbers) (tptp.m2_relset_1 B tptp.k5_numbers tptp.k1_numbers)) (=> (forall ((C $$unsorted)) (=> (tptp.m2_subset_1 C tptp.k1_numbers tptp.k5_numbers) (= (tptp.k8_funct_2 tptp.k5_numbers tptp.k1_numbers B C) (tptp.k7_xcmplx_0 tptp.np__1 (tptp.k2_xcmplx_0 (tptp.k2_nat_1 C C) A))))) (or (tptp.r1_xreal_0 A tptp.np__0) (tptp.v4_seq_2 B))))))) (forall ((A $$unsorted)) (=> (tptp.v1_xreal_0 A) (forall ((B $$unsorted)) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B tptp.k5_numbers tptp.k1_numbers) (tptp.m2_relset_1 B tptp.k5_numbers tptp.k1_numbers)) (=> (forall ((C $$unsorted)) (=> (tptp.m2_subset_1 C tptp.k1_numbers tptp.k5_numbers) (= (tptp.k8_funct_2 tptp.k5_numbers tptp.k1_numbers B C) (tptp.k7_xcmplx_0 tptp.np__1 (tptp.k2_xcmplx_0 (tptp.k2_nat_1 C C) A))))) (or (tptp.r1_xreal_0 A tptp.np__0) (= (tptp.k2_seq_2 B) tptp.np__0))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_funct_1 A) (tptp.v1_funct_2 A tptp.k5_numbers tptp.k1_numbers) (tptp.m2_relset_1 A tptp.k5_numbers tptp.k1_numbers)) (=> (forall ((B $$unsorted)) (=> (tptp.m2_subset_1 B tptp.k1_numbers tptp.k5_numbers) (= (tptp.k8_funct_2 tptp.k5_numbers tptp.k1_numbers A B) (tptp.k6_real_1 tptp.np__1 (tptp.k1_nat_1 (tptp.k2_nat_1 B B) tptp.np__1))))) (and (tptp.v4_seq_2 A) (= (tptp.k2_seq_2 A) tptp.np__0))))) (forall ((A $$unsorted)) (=> (tptp.v1_xreal_0 A) (forall ((B $$unsorted)) (=> (tptp.v1_xreal_0 B) (forall ((C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C tptp.k5_numbers tptp.k1_numbers) (tptp.m2_relset_1 C tptp.k5_numbers tptp.k1_numbers)) (=> (forall ((D $$unsorted)) (=> (tptp.m2_subset_1 D tptp.k1_numbers tptp.k5_numbers) (= (tptp.k8_funct_2 tptp.k5_numbers tptp.k1_numbers C D) (tptp.k7_xcmplx_0 B (tptp.k2_xcmplx_0 (tptp.k2_nat_1 D D) A))))) (or (tptp.r1_xreal_0 A tptp.np__0) (and (tptp.v4_seq_2 C) (= (tptp.k2_seq_2 C) tptp.np__0)))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_funct_1 A) (tptp.v1_funct_2 A tptp.k5_numbers tptp.k1_numbers) (tptp.m2_relset_1 A tptp.k5_numbers tptp.k1_numbers)) (=> (and (tptp.v3_seqm_3 A) (tptp.v1_seq_2 A)) (tptp.v4_seq_2 A)))) (forall ((A $$unsorted)) (=> (and (tptp.v1_funct_1 A) (tptp.v1_funct_2 A tptp.k5_numbers tptp.k1_numbers) (tptp.m2_relset_1 A tptp.k5_numbers tptp.k1_numbers)) (=> (and (tptp.v4_seqm_3 A) (tptp.v2_seq_2 A)) (tptp.v4_seq_2 A)))) (forall ((A $$unsorted)) (=> (and (tptp.v1_funct_1 A) (tptp.v1_funct_2 A tptp.k5_numbers tptp.k1_numbers) (tptp.m2_relset_1 A tptp.k5_numbers tptp.k1_numbers)) (=> (and (tptp.v6_seqm_3 A) (tptp.v3_seq_2 A)) (tptp.v4_seq_2 A)))) (forall ((A $$unsorted)) (=> (and (tptp.v1_funct_1 A) (tptp.v1_funct_2 A tptp.k5_numbers tptp.k1_numbers) (tptp.m2_relset_1 A tptp.k5_numbers tptp.k1_numbers)) (=> (and (tptp.v1_seq_2 A) (tptp.v3_seqm_3 A)) (forall ((B $$unsorted)) (=> (tptp.m2_subset_1 B tptp.k1_numbers tptp.k5_numbers) (tptp.r1_xreal_0 (tptp.k8_funct_2 tptp.k5_numbers tptp.k1_numbers A B) (tptp.k2_seq_2 A))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_funct_1 A) (tptp.v1_funct_2 A tptp.k5_numbers tptp.k1_numbers) (tptp.m2_relset_1 A tptp.k5_numbers tptp.k1_numbers)) (=> (and (tptp.v2_seq_2 A) (tptp.v4_seqm_3 A)) (forall ((B $$unsorted)) (=> (tptp.m2_subset_1 B tptp.k1_numbers tptp.k5_numbers) (tptp.r1_xreal_0 (tptp.k2_seq_2 A) (tptp.k8_funct_2 tptp.k5_numbers tptp.k1_numbers A B))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_funct_1 A) (tptp.v1_funct_2 A tptp.k5_numbers tptp.k1_numbers) (tptp.m2_relset_1 A tptp.k5_numbers tptp.k1_numbers)) (exists ((B $$unsorted)) (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B tptp.k5_numbers tptp.k1_numbers) (tptp.v1_seqm_3 B) (tptp.v7_seqm_3 B) (tptp.m2_relset_1 B tptp.k5_numbers tptp.k1_numbers) (tptp.v6_seqm_3 (tptp.k3_seqm_3 B A)))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_funct_1 A) (tptp.v1_funct_2 A tptp.k5_numbers tptp.k1_numbers) (tptp.m2_relset_1 A tptp.k5_numbers tptp.k1_numbers)) (not (and (tptp.v3_seq_2 A) (forall ((B $$unsorted)) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B tptp.k5_numbers tptp.k1_numbers) (tptp.m2_relset_1 B tptp.k5_numbers tptp.k1_numbers)) (not (and (tptp.m1_seqm_3 B A) (tptp.v4_seq_2 B))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_funct_1 A) (tptp.v1_funct_2 A tptp.k5_numbers tptp.k1_numbers) (tptp.m2_relset_1 A tptp.k5_numbers tptp.k1_numbers)) (= (tptp.v4_seq_2 A) (forall ((B $$unsorted)) (=> (tptp.v1_xreal_0 B) (not (and (not (tptp.r1_xreal_0 B tptp.np__0)) (forall ((C $$unsorted)) (=> (tptp.m2_subset_1 C tptp.k1_numbers tptp.k5_numbers) (exists ((D $$unsorted)) (and (tptp.m2_subset_1 D tptp.k1_numbers tptp.k5_numbers) (tptp.r1_xreal_0 C D) (tptp.r1_xreal_0 B (tptp.k18_complex1 (tptp.k5_real_1 (tptp.k8_funct_2 tptp.k5_numbers tptp.k1_numbers A D) (tptp.k8_funct_2 tptp.k5_numbers tptp.k1_numbers A C))))))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_funct_1 A) (tptp.v1_funct_2 A tptp.k5_numbers tptp.k1_numbers) (tptp.m2_relset_1 A tptp.k5_numbers tptp.k1_numbers)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k2_seq_2 B))) (let ((_let_2 (tptp.k8_funct_2 tptp.k5_numbers tptp.k1_numbers A tptp.np__0))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B tptp.k5_numbers tptp.k1_numbers) (tptp.m2_relset_1 B tptp.k5_numbers tptp.k1_numbers)) (=> (and (tptp.v5_seqm_3 A) (tptp.v4_seq_2 B)) (and (= (tptp.k2_seq_2 (tptp.k9_seq_1 A B)) (tptp.k3_real_1 _let_2 _let_1)) (= (tptp.k2_seq_2 (tptp.k10_seq_1 A B)) (tptp.k5_real_1 _let_2 _let_1)) (= (tptp.k2_seq_2 (tptp.k10_seq_1 B A)) (tptp.k5_real_1 _let_1 _let_2)) (= (tptp.k2_seq_2 (tptp.k11_seq_1 A B)) (tptp.k4_real_1 _let_2 _let_1)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v2_membered A)) (forall ((B $$unsorted)) (=> (tptp.v1_xreal_0 B) (=> (forall ((C $$unsorted)) (=> (tptp.v1_xreal_0 C) (=> (tptp.r2_hidden C A) (tptp.r1_xreal_0 B C)))) (tptp.r1_xreal_0 B (tptp.k3_seq_4 A))))))) (forall ((A $$unsorted)) (=> (tptp.v1_xreal_0 A) (forall ((B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.v2_membered B)) (=> (and (forall ((C $$unsorted)) (=> (tptp.v1_xreal_0 C) (=> (tptp.r2_hidden C B) (tptp.r1_xreal_0 A C)))) (forall ((C $$unsorted)) (=> (tptp.v1_xreal_0 C) (=> (forall ((D $$unsorted)) (=> (tptp.v1_xreal_0 D) (=> (tptp.r2_hidden D B) (tptp.r1_xreal_0 C D)))) (tptp.r1_xreal_0 C A))))) (= A (tptp.k3_seq_4 B))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v2_membered A)) (forall ((B $$unsorted)) (=> (tptp.v1_xreal_0 B) (forall ((C $$unsorted)) (=> (tptp.v1_xreal_0 C) (=> (forall ((D $$unsorted)) (=> (tptp.v1_xreal_0 D) (=> (tptp.r2_hidden D A) (tptp.r1_xreal_0 D C)))) (tptp.r1_xreal_0 (tptp.k2_seq_4 A) C)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v2_membered A)) (forall ((B $$unsorted)) (=> (tptp.v1_xreal_0 B) (=> (and (forall ((C $$unsorted)) (=> (tptp.v1_xreal_0 C) (=> (tptp.r2_hidden C A) (tptp.r1_xreal_0 C B)))) (forall ((C $$unsorted)) (=> (tptp.v1_xreal_0 C) (=> (forall ((D $$unsorted)) (=> (tptp.v1_xreal_0 D) (=> (tptp.r2_hidden D A) (tptp.r1_xreal_0 D C)))) (tptp.r1_xreal_0 B C))))) (= B (tptp.k2_seq_4 A))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v2_membered A)) (forall ((B $$unsorted)) (=> (tptp.v2_membered B) (=> (and (tptp.r1_tarski A B) (tptp.v2_seq_4 B)) (tptp.r1_xreal_0 (tptp.k3_seq_4 B) (tptp.k3_seq_4 A))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v2_membered A)) (forall ((B $$unsorted)) (=> (tptp.v2_membered B) (=> (and (tptp.r1_tarski A B) (tptp.v1_seq_4 B)) (tptp.r1_xreal_0 (tptp.k2_seq_4 A) (tptp.k2_seq_4 B))))))) (forall ((A $$unsorted)) (=> (tptp.v1_xreal_0 A) (tptp.m1_subset_1 (tptp.k1_seq_4 A) (tptp.k1_zfmisc_1 tptp.k1_numbers)))) (forall ((A $$unsorted)) (=> (tptp.v1_xreal_0 A) (= (tptp.k1_seq_4 A) (tptp.k1_tarski A)))) (forall ((A $$unsorted)) (=> (tptp.v2_membered A) (tptp.v1_xreal_0 (tptp.k2_seq_4 A)))) (forall ((A $$unsorted)) (=> (tptp.v2_membered A) (tptp.v1_xreal_0 (tptp.k3_seq_4 A)))) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A (tptp.k1_zfmisc_1 tptp.k1_numbers)) (tptp.m1_subset_1 (tptp.k4_seq_4 A) tptp.k1_numbers))) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A (tptp.k1_zfmisc_1 tptp.k1_numbers)) (= (tptp.k4_seq_4 A) (tptp.k2_seq_4 A)))) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A (tptp.k1_zfmisc_1 tptp.k1_numbers)) (tptp.m1_subset_1 (tptp.k5_seq_4 A) tptp.k1_numbers))) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A (tptp.k1_zfmisc_1 tptp.k1_numbers)) (= (tptp.k5_seq_4 A) (tptp.k3_seq_4 A)))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted) (C $$unsorted) (D $$unsorted)) (= (tptp.k1_multop_1 A B C D) (tptp.k1_funct_1 A (tptp.k3_mcart_1 B C D)))))) true (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (let ((_let_1 (tptp.k3_zfmisc_1 B C D))) (=> (and (tptp.v1_funct_1 E) (tptp.v1_funct_2 E _let_1 A) (tptp.m2_relset_1 E _let_1 A)) (forall ((F $$unsorted)) (let ((_let_1 (tptp.k3_zfmisc_1 B C D))) (=> (and (tptp.v1_funct_1 F) (tptp.v1_funct_2 F _let_1 A) (tptp.m2_relset_1 F _let_1 A)) (=> (forall ((G $$unsorted) (H $$unsorted) (I $$unsorted)) (let ((_let_1 (tptp.k3_mcart_1 G H I))) (=> (and (tptp.r2_hidden G B) (tptp.r2_hidden H C) (tptp.r2_hidden I D)) (= (tptp.k1_funct_1 E _let_1) (tptp.k1_funct_1 F _let_1))))) (= E F)))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (=> (not (tptp.v1_xboole_0 C)) (forall ((D $$unsorted)) (=> (not (tptp.v1_xboole_0 D)) (forall ((E $$unsorted)) (let ((_let_1 (tptp.k3_zfmisc_1 A B C))) (=> (and (tptp.v1_funct_1 E) (tptp.v1_funct_2 E _let_1 D) (tptp.m2_relset_1 E _let_1 D)) (forall ((F $$unsorted)) (let ((_let_1 (tptp.k3_zfmisc_1 A B C))) (=> (and (tptp.v1_funct_1 F) (tptp.v1_funct_2 F _let_1 D) (tptp.m2_relset_1 F _let_1 D)) (=> (forall ((G $$unsorted)) (=> (tptp.m1_subset_1 G A) (forall ((H $$unsorted)) (=> (tptp.m1_subset_1 H B) (forall ((I $$unsorted)) (let ((_let_1 (tptp.k4_domain_1 A B C G H I))) (let ((_let_2 (tptp.k3_zfmisc_1 A B C))) (=> (tptp.m1_subset_1 I C) (= (tptp.k8_funct_2 _let_2 D E _let_1) (tptp.k8_funct_2 _let_2 D F _let_1)))))))))) (= E F)))))))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (=> (not (tptp.v1_xboole_0 C)) (forall ((D $$unsorted)) (=> (not (tptp.v1_xboole_0 D)) (forall ((E $$unsorted)) (let ((_let_1 (tptp.k3_zfmisc_1 A B C))) (=> (and (tptp.v1_funct_1 E) (tptp.v1_funct_2 E _let_1 D) (tptp.m2_relset_1 E _let_1 D)) (forall ((F $$unsorted)) (let ((_let_1 (tptp.k3_zfmisc_1 A B C))) (=> (and (tptp.v1_funct_1 F) (tptp.v1_funct_2 F _let_1 D) (tptp.m2_relset_1 F _let_1 D)) (=> (forall ((G $$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) (= (tptp.k2_multop_1 A B C D E G H I) (tptp.k2_multop_1 A B C D F G H I)))))))) (= E F)))))))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (= (tptp.k3_multop_1 A B C D E) (tptp.k1_funct_1 A (tptp.k4_mcart_1 B C D E)))))) true (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted)) (let ((_let_1 (tptp.k4_zfmisc_1 B C D E))) (=> (and (tptp.v1_funct_1 F) (tptp.v1_funct_2 F _let_1 A) (tptp.m2_relset_1 F _let_1 A)) (forall ((G $$unsorted)) (let ((_let_1 (tptp.k4_zfmisc_1 B C D E))) (=> (and (tptp.v1_funct_1 G) (tptp.v1_funct_2 G _let_1 A) (tptp.m2_relset_1 G _let_1 A)) (=> (forall ((H $$unsorted) (I $$unsorted) (J $$unsorted) (K $$unsorted)) (let ((_let_1 (tptp.k4_mcart_1 H I J K))) (=> (and (tptp.r2_hidden H B) (tptp.r2_hidden I C) (tptp.r2_hidden J D) (tptp.r2_hidden K E)) (= (tptp.k1_funct_1 F _let_1) (tptp.k1_funct_1 G _let_1))))) (= 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)) (=> (not (tptp.v1_xboole_0 D)) (forall ((E $$unsorted)) (=> (not (tptp.v1_xboole_0 E)) (forall ((F $$unsorted)) (let ((_let_1 (tptp.k4_zfmisc_1 A B C D))) (=> (and (tptp.v1_funct_1 F) (tptp.v1_funct_2 F _let_1 E) (tptp.m2_relset_1 F _let_1 E)) (forall ((G $$unsorted)) (let ((_let_1 (tptp.k4_zfmisc_1 A B C D))) (=> (and (tptp.v1_funct_1 G) (tptp.v1_funct_2 G _let_1 E) (tptp.m2_relset_1 G _let_1 E)) (=> (forall ((H $$unsorted)) (=> (tptp.m1_subset_1 H A) (forall ((I $$unsorted)) (=> (tptp.m1_subset_1 I B) (forall ((J $$unsorted)) (=> (tptp.m1_subset_1 J C) (forall ((K $$unsorted)) (let ((_let_1 (tptp.k5_domain_1 A B C D H I J K))) (let ((_let_2 (tptp.k4_zfmisc_1 A B C D))) (=> (tptp.m1_subset_1 K D) (= (tptp.k8_funct_2 _let_2 E F _let_1) (tptp.k8_funct_2 _let_2 E G _let_1)))))))))))) (= F G)))))))))))))))))) (forall ((A $$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 $$unsorted)) (=> (not (tptp.v1_xboole_0 D)) (forall ((E $$unsorted)) (=> (not (tptp.v1_xboole_0 E)) (forall ((F $$unsorted)) (let ((_let_1 (tptp.k4_zfmisc_1 A B C D))) (=> (and (tptp.v1_funct_1 F) (tptp.v1_funct_2 F _let_1 E) (tptp.m2_relset_1 F _let_1 E)) (forall ((G $$unsorted)) (let ((_let_1 (tptp.k4_zfmisc_1 A B C D))) (=> (and (tptp.v1_funct_1 G) (tptp.v1_funct_2 G _let_1 E) (tptp.m2_relset_1 G _let_1 E)) (=> (forall ((H $$unsorted)) (=> (tptp.m1_subset_1 H A) (forall ((I $$unsorted)) (=> (tptp.m1_subset_1 I B) (forall ((J $$unsorted)) (=> (tptp.m1_subset_1 J C) (forall ((K $$unsorted)) (=> (tptp.m1_subset_1 K D) (= (tptp.k4_multop_1 A B C D E F H I J K) (tptp.k4_multop_1 A B C D E G H I J K)))))))))) (= F G)))))))))))))))))) (=> (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.f1_s1_multop_1) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.f2_s1_multop_1) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C tptp.f3_s1_multop_1) (exists ((D $$unsorted)) (and (tptp.m1_subset_1 D tptp.f4_s1_multop_1) (tptp.p1_s1_multop_1 A B C D))))))))) (exists ((A $$unsorted)) (let ((_let_1 (tptp.k3_zfmisc_1 tptp.f1_s1_multop_1 tptp.f2_s1_multop_1 tptp.f3_s1_multop_1))) (and (tptp.v1_funct_1 A) (tptp.v1_funct_2 A _let_1 tptp.f4_s1_multop_1) (tptp.m2_relset_1 A _let_1 tptp.f4_s1_multop_1) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.f1_s1_multop_1) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C tptp.f2_s1_multop_1) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D tptp.f3_s1_multop_1) (tptp.p1_s1_multop_1 B C D (tptp.k8_funct_2 (tptp.k3_zfmisc_1 tptp.f1_s1_multop_1 tptp.f2_s1_multop_1 tptp.f3_s1_multop_1) tptp.f4_s1_multop_1 A (tptp.k4_domain_1 tptp.f1_s1_multop_1 tptp.f2_s1_multop_1 tptp.f3_s1_multop_1 B C D))))))))))))) (=> (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.f1_s2_multop_1) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.f1_s2_multop_1) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C tptp.f1_s2_multop_1) (exists ((D $$unsorted)) (and (tptp.m1_subset_1 D tptp.f1_s2_multop_1) (tptp.p1_s2_multop_1 A B C D))))))))) (exists ((A $$unsorted)) (let ((_let_1 (tptp.k3_zfmisc_1 tptp.f1_s2_multop_1 tptp.f1_s2_multop_1 tptp.f1_s2_multop_1))) (and (tptp.v1_funct_1 A) (tptp.v1_funct_2 A _let_1 tptp.f1_s2_multop_1) (tptp.m2_relset_1 A _let_1 tptp.f1_s2_multop_1) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.f1_s2_multop_1) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C tptp.f1_s2_multop_1) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D tptp.f1_s2_multop_1) (tptp.p1_s2_multop_1 B C D (tptp.k2_multop_1 tptp.f1_s2_multop_1 tptp.f1_s2_multop_1 tptp.f1_s2_multop_1 tptp.f1_s2_multop_1 A B C D)))))))))))) (exists ((A $$unsorted)) (let ((_let_1 (tptp.k3_zfmisc_1 tptp.f1_s3_multop_1 tptp.f2_s3_multop_1 tptp.f3_s3_multop_1))) (and (tptp.v1_funct_1 A) (tptp.v1_funct_2 A _let_1 tptp.f4_s3_multop_1) (tptp.m2_relset_1 A _let_1 tptp.f4_s3_multop_1) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.f1_s3_multop_1) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C tptp.f2_s3_multop_1) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D tptp.f3_s3_multop_1) (= (tptp.k8_funct_2 (tptp.k3_zfmisc_1 tptp.f1_s3_multop_1 tptp.f2_s3_multop_1 tptp.f3_s3_multop_1) tptp.f4_s3_multop_1 A (tptp.k4_domain_1 tptp.f1_s3_multop_1 tptp.f2_s3_multop_1 tptp.f3_s3_multop_1 B C D)) (tptp.f5_s3_multop_1 B C D))))))))))) (exists ((A $$unsorted)) (let ((_let_1 (tptp.k3_zfmisc_1 tptp.f1_s4_multop_1 tptp.f2_s4_multop_1 tptp.f3_s4_multop_1))) (and (tptp.v1_funct_1 A) (tptp.v1_funct_2 A _let_1 tptp.f4_s4_multop_1) (tptp.m2_relset_1 A _let_1 tptp.f4_s4_multop_1) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.f1_s4_multop_1) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C tptp.f2_s4_multop_1) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D tptp.f3_s4_multop_1) (= (tptp.k2_multop_1 tptp.f1_s4_multop_1 tptp.f2_s4_multop_1 tptp.f3_s4_multop_1 tptp.f4_s4_multop_1 A B C D) (tptp.f5_s4_multop_1 B C D))))))))))) (=> (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.f1_s5_multop_1) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.f2_s5_multop_1) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C tptp.f3_s5_multop_1) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D tptp.f4_s5_multop_1) (exists ((E $$unsorted)) (and (tptp.m1_subset_1 E tptp.f5_s5_multop_1) (tptp.p1_s5_multop_1 A B C D E))))))))))) (exists ((A $$unsorted)) (let ((_let_1 (tptp.k4_zfmisc_1 tptp.f1_s5_multop_1 tptp.f2_s5_multop_1 tptp.f3_s5_multop_1 tptp.f4_s5_multop_1))) (and (tptp.v1_funct_1 A) (tptp.v1_funct_2 A _let_1 tptp.f5_s5_multop_1) (tptp.m2_relset_1 A _let_1 tptp.f5_s5_multop_1) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.f1_s5_multop_1) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C tptp.f2_s5_multop_1) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D tptp.f3_s5_multop_1) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E tptp.f4_s5_multop_1) (tptp.p1_s5_multop_1 B C D E (tptp.k8_funct_2 (tptp.k4_zfmisc_1 tptp.f1_s5_multop_1 tptp.f2_s5_multop_1 tptp.f3_s5_multop_1 tptp.f4_s5_multop_1) tptp.f5_s5_multop_1 A (tptp.k5_domain_1 tptp.f1_s5_multop_1 tptp.f2_s5_multop_1 tptp.f3_s5_multop_1 tptp.f4_s5_multop_1 B C D E))))))))))))))) (=> (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.f1_s6_multop_1) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.f1_s6_multop_1) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C tptp.f1_s6_multop_1) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D tptp.f1_s6_multop_1) (exists ((E $$unsorted)) (and (tptp.m1_subset_1 E tptp.f1_s6_multop_1) (tptp.p1_s6_multop_1 A B C D E))))))))))) (exists ((A $$unsorted)) (let ((_let_1 (tptp.k4_zfmisc_1 tptp.f1_s6_multop_1 tptp.f1_s6_multop_1 tptp.f1_s6_multop_1 tptp.f1_s6_multop_1))) (and (tptp.v1_funct_1 A) (tptp.v1_funct_2 A _let_1 tptp.f1_s6_multop_1) (tptp.m2_relset_1 A _let_1 tptp.f1_s6_multop_1) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.f1_s6_multop_1) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C tptp.f1_s6_multop_1) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D tptp.f1_s6_multop_1) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E tptp.f1_s6_multop_1) (tptp.p1_s6_multop_1 B C D E (tptp.k4_multop_1 tptp.f1_s6_multop_1 tptp.f1_s6_multop_1 tptp.f1_s6_multop_1 tptp.f1_s6_multop_1 tptp.f1_s6_multop_1 A B C D E)))))))))))))) (exists ((A $$unsorted)) (let ((_let_1 (tptp.k4_zfmisc_1 tptp.f1_s7_multop_1 tptp.f2_s7_multop_1 tptp.f3_s7_multop_1 tptp.f4_s7_multop_1))) (and (tptp.v1_funct_1 A) (tptp.v1_funct_2 A _let_1 tptp.f5_s7_multop_1) (tptp.m2_relset_1 A _let_1 tptp.f5_s7_multop_1) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.f1_s7_multop_1) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C tptp.f2_s7_multop_1) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D tptp.f3_s7_multop_1) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E tptp.f4_s7_multop_1) (= (tptp.k8_funct_2 (tptp.k4_zfmisc_1 tptp.f1_s7_multop_1 tptp.f2_s7_multop_1 tptp.f3_s7_multop_1 tptp.f4_s7_multop_1) tptp.f5_s7_multop_1 A (tptp.k5_domain_1 tptp.f1_s7_multop_1 tptp.f2_s7_multop_1 tptp.f3_s7_multop_1 tptp.f4_s7_multop_1 B C D E)) (tptp.f6_s7_multop_1 B C D E))))))))))))) (exists ((A $$unsorted)) (let ((_let_1 (tptp.k4_zfmisc_1 tptp.f1_s8_multop_1 tptp.f1_s8_multop_1 tptp.f1_s8_multop_1 tptp.f1_s8_multop_1))) (and (tptp.v1_funct_1 A) (tptp.v1_funct_2 A _let_1 tptp.f1_s8_multop_1) (tptp.m2_relset_1 A _let_1 tptp.f1_s8_multop_1) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.f1_s8_multop_1) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C tptp.f1_s8_multop_1) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D tptp.f1_s8_multop_1) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E tptp.f1_s8_multop_1) (= (tptp.k4_multop_1 tptp.f1_s8_multop_1 tptp.f1_s8_multop_1 tptp.f1_s8_multop_1 tptp.f1_s8_multop_1 tptp.f1_s8_multop_1 A B C D E) (tptp.f2_s8_multop_1 B C D E))))))))))))) true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted) (G $$unsorted) (H $$unsorted)) (let ((_let_1 (tptp.k3_zfmisc_1 A B C))) (=> (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 _let_1 D) (tptp.m1_relset_1 E _let_1 D) (tptp.m1_subset_1 F A) (tptp.m1_subset_1 G B) (tptp.m1_subset_1 H C)) (tptp.m1_subset_1 (tptp.k2_multop_1 A B C D E F G H) D)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted) (G $$unsorted) (H $$unsorted)) (let ((_let_1 (tptp.k3_zfmisc_1 A B C))) (=> (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 _let_1 D) (tptp.m1_relset_1 E _let_1 D) (tptp.m1_subset_1 F A) (tptp.m1_subset_1 G B) (tptp.m1_subset_1 H C)) (= (tptp.k2_multop_1 A B C D E F G H) (tptp.k1_multop_1 E F G H))))) true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted) (G $$unsorted) (H $$unsorted) (I $$unsorted) (J $$unsorted)) (let ((_let_1 (tptp.k4_zfmisc_1 A B C D))) (=> (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 E)) (tptp.v1_funct_1 F) (tptp.v1_funct_2 F _let_1 E) (tptp.m1_relset_1 F _let_1 E) (tptp.m1_subset_1 G A) (tptp.m1_subset_1 H B) (tptp.m1_subset_1 I C) (tptp.m1_subset_1 J D)) (tptp.m1_subset_1 (tptp.k4_multop_1 A B C D E F G H I J) E)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted) (G $$unsorted) (H $$unsorted) (I $$unsorted) (J $$unsorted)) (let ((_let_1 (tptp.k4_zfmisc_1 A B C D))) (=> (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 E)) (tptp.v1_funct_1 F) (tptp.v1_funct_2 F _let_1 E) (tptp.m1_relset_1 F _let_1 E) (tptp.m1_subset_1 G A) (tptp.m1_subset_1 H B) (tptp.m1_subset_1 I C) (tptp.m1_subset_1 J D)) (= (tptp.k4_multop_1 A B C D E F G H I J) (tptp.k3_multop_1 F G H I J))))) (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))))))))) (forall ((A $$unsorted)) (= (tptp.v1_realset1 A) (not (and (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (not (= A (tptp.k1_tarski B)))))))) (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)))) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.r2_hidden A (tptp.k4_card_3 (tptp.k9_finseq_1 B))) (exists ((C $$unsorted)) (and (tptp.r2_hidden C B) (= A (tptp.k9_finseq_1 C)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.r2_hidden A (tptp.k4_card_3 (tptp.k10_finseq_1 B C))) (exists ((D $$unsorted) (E $$unsorted)) (and (tptp.r2_hidden D B) (tptp.r2_hidden E C) (= A (tptp.k10_finseq_1 D E)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (= (tptp.r2_hidden A (tptp.k4_card_3 (tptp.k11_finseq_1 B C D))) (exists ((E $$unsorted) (F $$unsorted) (G $$unsorted)) (and (tptp.r2_hidden E B) (tptp.r2_hidden F C) (tptp.r2_hidden G D) (= A (tptp.k11_finseq_1 E F G)))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (= (tptp.k4_card_3 (tptp.k9_finseq_1 A)) (tptp.k4_finseq_2 tptp.np__1 A)))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (= (tptp.k4_card_3 (tptp.k10_finseq_1 A A)) (tptp.k4_finseq_2 tptp.np__2 A)))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (= (tptp.k4_card_3 (tptp.k11_finseq_1 A A A)) (tptp.k4_finseq_2 tptp.np__3 A)))) (forall ((A $$unsorted)) (=> (tptp.m2_subset_1 A tptp.k1_numbers tptp.k5_numbers) (forall ((B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (= (tptp.k4_card_3 (tptp.k2_finseq_2 A B)) (tptp.k4_finseq_2 A B)))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (tptp.r1_tarski (tptp.k4_card_3 A) (tptp.k1_funct_2 (tptp.k1_relat_1 A) (tptp.k3_card_3 A))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (not (and (tptp.r2_hidden A (tptp.k1_relat_1 (tptp.k2_funct_4 B))) (forall ((C $$unsorted) (D $$unsorted)) (not (= A (tptp.k4_tarski C D)))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.k2_funct_4 (tptp.k2_funcop_1 (tptp.k2_zfmisc_1 A B) C)) (tptp.k2_funcop_1 (tptp.k2_zfmisc_1 B A) C))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (and (= (tptp.k3_funct_5 A) (tptp.k5_funct_5 (tptp.k2_funct_4 A))) (= (tptp.k4_funct_5 A) (tptp.k2_funct_4 (tptp.k6_funct_5 A)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A B))) (let ((_let_2 (tptp.k2_funcop_1 _let_1 C))) (=> (not (= _let_1 tptp.k1_xboole_0)) (and (= (tptp.k3_funct_5 _let_2) (tptp.k2_funcop_1 A (tptp.k2_funcop_1 B C))) (= (tptp.k5_funct_5 _let_2) (tptp.k2_funcop_1 B (tptp.k2_funcop_1 A C)))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k2_funcop_1 A (tptp.k2_funcop_1 B C)))) (and (= (tptp.k4_funct_5 _let_1) (tptp.k2_funcop_1 (tptp.k2_zfmisc_1 A B) C)) (= (tptp.k6_funct_5 _let_1) (tptp.k2_funcop_1 (tptp.k2_zfmisc_1 B A) C))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k2_relat_1 C))) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (=> (and (tptp.r2_hidden A (tptp.k1_relat_1 B)) (= C (tptp.k1_funct_1 B A))) (and (tptp.r1_tarski _let_1 (tptp.k2_relat_1 (tptp.k4_funct_5 B))) (tptp.r1_tarski _let_1 (tptp.k2_relat_1 (tptp.k6_funct_5 B)))))))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k2_relat_1 B))) (let ((_let_2 (tptp.k2_funcop_1 A B))) (let ((_let_3 (tptp.k6_funct_5 _let_2))) (let ((_let_4 (tptp.k1_relat_1 B))) (let ((_let_5 (tptp.k4_funct_5 _let_2))) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (and (= (tptp.k1_relat_1 _let_5) (tptp.k2_zfmisc_1 A _let_4)) (tptp.r1_tarski (tptp.k2_relat_1 _let_5) _let_1) (= (tptp.k1_relat_1 _let_3) (tptp.k2_zfmisc_1 _let_4 A)) (tptp.r1_tarski (tptp.k2_relat_1 _let_3) _let_1))))))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k2_relat_1 B))) (let ((_let_2 (tptp.k2_funcop_1 A B))) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (=> (not (= A tptp.k1_xboole_0)) (and (= (tptp.k2_relat_1 (tptp.k4_funct_5 _let_2)) _let_1) (= (tptp.k2_relat_1 (tptp.k6_funct_5 _let_2)) _let_1))))))) (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)) (=> (tptp.r2_hidden D (tptp.k1_funct_2 _let_1 C)) (or (= _let_1 tptp.k1_xboole_0) (and (tptp.r2_hidden (tptp.k3_funct_5 D) (tptp.k1_funct_2 A (tptp.k1_funct_2 B C))) (tptp.r2_hidden (tptp.k5_funct_5 D) (tptp.k1_funct_2 B (tptp.k1_funct_2 A C))))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.v1_relat_1 D) (tptp.v1_funct_1 D)) (=> (tptp.r2_hidden D (tptp.k1_funct_2 A (tptp.k1_funct_2 B C))) (and (tptp.r2_hidden (tptp.k4_funct_5 D) (tptp.k1_funct_2 (tptp.k2_zfmisc_1 A B) C)) (tptp.r2_hidden (tptp.k6_funct_5 D) (tptp.k1_funct_2 (tptp.k2_zfmisc_1 B A) C)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted)) (=> (and (tptp.v1_relat_1 F) (tptp.v1_funct_1 F)) (=> (tptp.r1_tarski (tptp.k1_relat_1 F) (tptp.k2_zfmisc_1 D E)) (or (and (not (tptp.r2_hidden (tptp.k3_funct_5 F) (tptp.k1_funct_2 A (tptp.k1_funct_2 B C)))) (not (tptp.r2_hidden (tptp.k5_funct_5 F) (tptp.k1_funct_2 B (tptp.k1_funct_2 A C))))) (tptp.r2_hidden F (tptp.k1_funct_2 (tptp.k2_zfmisc_1 A B) C)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted)) (=> (and (tptp.v1_relat_1 F) (tptp.v1_funct_1 F)) (=> (and (tptp.r1_tarski (tptp.k2_relat_1 F) (tptp.k4_partfun1 D E)) (= (tptp.k1_relat_1 F) A)) (or (and (not (tptp.r2_hidden (tptp.k4_funct_5 F) (tptp.k1_funct_2 (tptp.k2_zfmisc_1 A B) C))) (not (tptp.r2_hidden (tptp.k6_funct_5 F) (tptp.k1_funct_2 (tptp.k2_zfmisc_1 B A) C)))) (tptp.r2_hidden F (tptp.k1_funct_2 A (tptp.k1_funct_2 B C))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.v1_relat_1 D) (tptp.v1_funct_1 D)) (=> (tptp.r2_hidden D (tptp.k4_partfun1 (tptp.k2_zfmisc_1 A B) C)) (and (tptp.r2_hidden (tptp.k3_funct_5 D) (tptp.k4_partfun1 A (tptp.k4_partfun1 B C))) (tptp.r2_hidden (tptp.k5_funct_5 D) (tptp.k4_partfun1 B (tptp.k4_partfun1 A C))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.v1_relat_1 D) (tptp.v1_funct_1 D)) (=> (tptp.r2_hidden D (tptp.k4_partfun1 A (tptp.k4_partfun1 B C))) (and (tptp.r2_hidden (tptp.k4_funct_5 D) (tptp.k4_partfun1 (tptp.k2_zfmisc_1 A B) C)) (tptp.r2_hidden (tptp.k6_funct_5 D) (tptp.k4_partfun1 (tptp.k2_zfmisc_1 B A) C)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted)) (=> (and (tptp.v1_relat_1 F) (tptp.v1_funct_1 F)) (=> (tptp.r1_tarski (tptp.k1_relat_1 F) (tptp.k2_zfmisc_1 D E)) (or (and (not (tptp.r2_hidden (tptp.k3_funct_5 F) (tptp.k4_partfun1 A (tptp.k4_partfun1 B C)))) (not (tptp.r2_hidden (tptp.k5_funct_5 F) (tptp.k4_partfun1 B (tptp.k4_partfun1 A C))))) (tptp.r2_hidden F (tptp.k4_partfun1 (tptp.k2_zfmisc_1 A B) C)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted)) (=> (and (tptp.v1_relat_1 F) (tptp.v1_funct_1 F)) (=> (and (tptp.r1_tarski (tptp.k2_relat_1 F) (tptp.k4_partfun1 D E)) (tptp.r1_tarski (tptp.k1_relat_1 F) A)) (or (and (not (tptp.r2_hidden (tptp.k4_funct_5 F) (tptp.k4_partfun1 (tptp.k2_zfmisc_1 A B) C))) (not (tptp.r2_hidden (tptp.k6_funct_5 F) (tptp.k4_partfun1 (tptp.k2_zfmisc_1 B A) C)))) (tptp.r2_hidden F (tptp.k4_partfun1 A (tptp.k4_partfun1 B C))))))) (forall ((A $$unsorted) (B $$unsorted)) (= (= B (tptp.k1_funct_6 A)) (forall ((C $$unsorted)) (= (tptp.r2_hidden C B) (and (tptp.r2_hidden C A) (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)))))) (forall ((A $$unsorted)) (tptp.r1_tarski (tptp.k1_funct_6 A) A)) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k1_funct_1 B A))) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (= (tptp.r2_hidden A (tptp.k10_relat_1 B (tptp.k1_funct_6 (tptp.k2_relat_1 B)))) (and (tptp.r2_hidden A (tptp.k1_relat_1 B)) (tptp.v1_relat_1 _let_1) (tptp.v1_funct_1 _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)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k1_enumset1 A B C))) (let ((_let_2 (tptp.k2_tarski A B))) (let ((_let_3 (tptp.k1_tarski A))) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (and (= (tptp.k1_funct_6 tptp.k1_xboole_0) tptp.k1_xboole_0) (= (tptp.k1_funct_6 _let_3) _let_3) (= (tptp.k1_funct_6 _let_2) _let_2) (= (tptp.k1_funct_6 _let_1) _let_1))))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.r1_tarski A (tptp.k1_funct_6 B)) (= (tptp.k1_funct_6 A) A))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (= (= B (tptp.k2_funct_6 A)) (and (= (tptp.k1_relat_1 B) (tptp.k10_relat_1 A (tptp.k1_funct_6 (tptp.k2_relat_1 A)))) (forall ((C $$unsorted)) (=> (tptp.r2_hidden C (tptp.k10_relat_1 A (tptp.k1_funct_6 (tptp.k2_relat_1 A)))) (= (tptp.k1_funct_1 B C) (tptp.k1_funct_5 (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.k3_funct_6 A)) (and (= (tptp.k1_relat_1 B) (tptp.k10_relat_1 A (tptp.k1_funct_6 (tptp.k2_relat_1 A)))) (forall ((C $$unsorted)) (=> (tptp.r2_hidden C (tptp.k10_relat_1 A (tptp.k1_funct_6 (tptp.k2_relat_1 A)))) (= (tptp.k1_funct_1 B C) (tptp.k2_funct_5 (tptp.k1_funct_1 A C))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (= (tptp.k4_funct_6 A) (tptp.k1_setfam_1 (tptp.k2_relat_1 A))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k3_funct_6 B))) (let ((_let_2 (tptp.k2_funct_6 B))) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (=> (and (tptp.r2_hidden A (tptp.k1_relat_1 B)) (= C (tptp.k1_funct_1 B A))) (and (tptp.r2_hidden A (tptp.k1_relat_1 _let_2)) (= (tptp.k1_funct_1 _let_2 A) (tptp.k1_relat_1 C)) (tptp.r2_hidden A (tptp.k1_relat_1 _let_1)) (= (tptp.k1_funct_1 _let_1 A) (tptp.k2_relat_1 C)))))))))) (and (= (tptp.k2_funct_6 tptp.k1_xboole_0) tptp.k1_xboole_0) (= (tptp.k3_funct_6 tptp.k1_xboole_0) tptp.k1_xboole_0)) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k9_finseq_1 A))) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (and (= (tptp.k2_funct_6 _let_1) (tptp.k9_finseq_1 (tptp.k1_relat_1 A))) (= (tptp.k3_funct_6 _let_1) (tptp.k9_finseq_1 (tptp.k2_relat_1 A))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k10_finseq_1 A B))) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (and (= (tptp.k2_funct_6 _let_1) (tptp.k10_finseq_1 (tptp.k1_relat_1 A) (tptp.k1_relat_1 B))) (= (tptp.k3_funct_6 _let_1) (tptp.k10_finseq_1 (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 $$unsorted)) (let ((_let_1 (tptp.k11_finseq_1 A B C))) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (and (= (tptp.k2_funct_6 _let_1) (tptp.k11_finseq_1 (tptp.k1_relat_1 A) (tptp.k1_relat_1 B) (tptp.k1_relat_1 C))) (= (tptp.k3_funct_6 _let_1) (tptp.k11_finseq_1 (tptp.k2_relat_1 A) (tptp.k2_relat_1 B) (tptp.k2_relat_1 C))))))))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k2_funcop_1 A B))) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (and (= (tptp.k2_funct_6 _let_1) (tptp.k2_funcop_1 A (tptp.k1_relat_1 B))) (= (tptp.k3_funct_6 _let_1) (tptp.k2_funcop_1 A (tptp.k2_relat_1 B))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (=> (not (= B tptp.k1_xboole_0)) (= (tptp.r2_hidden A (tptp.k4_funct_6 B)) (forall ((C $$unsorted)) (=> (tptp.r2_hidden C (tptp.k1_relat_1 B)) (tptp.r2_hidden A (tptp.k1_funct_1 B C)))))))) (= (tptp.k4_funct_6 tptp.k1_xboole_0) tptp.k1_xboole_0) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k9_finseq_1 A))) (and (= (tptp.k3_card_3 _let_1) A) (= (tptp.k4_funct_6 _let_1) A)))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k10_finseq_1 A B))) (and (= (tptp.k3_card_3 _let_1) (tptp.k2_xboole_0 A B)) (= (tptp.k4_funct_6 _let_1) (tptp.k3_xboole_0 A B))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k11_finseq_1 A B C))) (and (= (tptp.k3_card_3 _let_1) (tptp.k2_xboole_0 (tptp.k2_xboole_0 A B) C)) (= (tptp.k4_funct_6 _let_1) (tptp.k3_xboole_0 (tptp.k3_xboole_0 A B) C))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k2_funcop_1 tptp.k1_xboole_0 A))) (and (= (tptp.k3_card_3 _let_1) tptp.k1_xboole_0) (= (tptp.k4_funct_6 _let_1) tptp.k1_xboole_0)))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k2_funcop_1 A B))) (=> (not (= A tptp.k1_xboole_0)) (and (= (tptp.k3_card_3 _let_1) B) (= (tptp.k4_funct_6 _let_1) B))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted) (C $$unsorted)) (= (tptp.k5_funct_6 A B C) (tptp.k1_funct_1 (tptp.k4_funct_5 A) (tptp.k4_tarski 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)) (=> (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))) (= (tptp.k5_funct_6 C A B) (tptp.k1_funct_1 D B))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (forall ((C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k1_funct_1 B A))) (=> (and (tptp.v1_relat_1 D) (tptp.v1_funct_1 D)) (=> (tptp.r2_hidden A (tptp.k1_relat_1 B)) (and (= (tptp.k5_funct_6 (tptp.k9_finseq_1 B) tptp.np__1 A) _let_1) (= (tptp.k5_funct_6 (tptp.k10_finseq_1 B C) tptp.np__1 A) _let_1) (= (tptp.k5_funct_6 (tptp.k11_finseq_1 B C D) tptp.np__1 A) _let_1)))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (forall ((C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k1_funct_1 B A))) (=> (and (tptp.v1_relat_1 D) (tptp.v1_funct_1 D)) (=> (tptp.r2_hidden A (tptp.k1_relat_1 B)) (and (= (tptp.k5_funct_6 (tptp.k10_finseq_1 C B) tptp.np__2 A) _let_1) (= (tptp.k5_funct_6 (tptp.k11_finseq_1 C B D) tptp.np__2 A) _let_1)))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (forall ((C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (forall ((D $$unsorted)) (=> (and (tptp.v1_relat_1 D) (tptp.v1_funct_1 D)) (=> (tptp.r2_hidden A (tptp.k1_relat_1 B)) (= (tptp.k5_funct_6 (tptp.k11_finseq_1 C D B) tptp.np__3 A) (tptp.k1_funct_1 B A))))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.v1_relat_1 D) (tptp.v1_funct_1 D)) (=> (and (tptp.r2_hidden A B) (tptp.r2_hidden C (tptp.k1_relat_1 D))) (= (tptp.k5_funct_6 (tptp.k2_funcop_1 B D) A C) (tptp.k1_funct_1 D C))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (= (tptp.k6_funct_6 A) (tptp.k3_funct_5 (tptp.k7_relat_1 (tptp.k6_funct_5 A) (tptp.k2_zfmisc_1 (tptp.k4_funct_6 (tptp.k2_funct_6 A)) (tptp.k1_relat_1 A))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k6_funct_6 A))) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (and (= (tptp.k1_relat_1 _let_1) (tptp.k4_funct_6 (tptp.k2_funct_6 A))) (tptp.r1_tarski (tptp.k2_relat_1 _let_1) (tptp.k4_card_3 (tptp.k3_funct_6 A))))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k6_funct_6 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 $$unsorted)) (let ((_let_1 (tptp.k6_funct_6 B))) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (=> (and (tptp.r2_hidden A (tptp.k1_relat_1 _let_1)) (= C (tptp.k1_funct_1 _let_1 A))) (and (= (tptp.k1_relat_1 C) (tptp.k10_relat_1 B (tptp.k1_funct_6 (tptp.k2_relat_1 B)))) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k4_tarski D A))) (let ((_let_2 (tptp.k4_funct_5 B))) (=> (tptp.r2_hidden D (tptp.k1_relat_1 C)) (and (tptp.r2_hidden _let_1 (tptp.k1_relat_1 _let_2)) (= (tptp.k1_funct_1 C D) (tptp.k1_funct_1 _let_2 _let_1)))))))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (=> (tptp.r2_hidden A (tptp.k1_relat_1 (tptp.k6_funct_6 B))) (forall ((C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (=> (tptp.r2_hidden C (tptp.k2_relat_1 B)) (tptp.r2_hidden A (tptp.k1_relat_1 C)))))))) (forall ((A $$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)) (=> (and (tptp.r2_hidden B (tptp.k2_relat_1 C)) (forall ((D $$unsorted)) (=> (and (tptp.v1_relat_1 D) (tptp.v1_funct_1 D)) (=> (tptp.r2_hidden D (tptp.k2_relat_1 C)) (tptp.r2_hidden A (tptp.k1_relat_1 D)))))) (tptp.r2_hidden A (tptp.k1_relat_1 (tptp.k6_funct_6 C)))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (forall ((D $$unsorted)) (=> (and (tptp.v1_relat_1 D) (tptp.v1_funct_1 D)) (forall ((E $$unsorted)) (let ((_let_1 (tptp.k6_funct_6 C))) (=> (and (tptp.v1_relat_1 E) (tptp.v1_funct_1 E)) (=> (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 _let_1)) (= E (tptp.k1_funct_1 _let_1 B))) (= (tptp.k1_funct_1 D B) (tptp.k1_funct_1 E A)))))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k6_funct_6 C))) (let ((_let_2 (tptp.k1_funct_1 C A))) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (=> (and (tptp.r2_hidden A (tptp.k1_relat_1 C)) (tptp.v1_relat_1 _let_2) (tptp.v1_funct_1 _let_2) (tptp.r2_hidden B (tptp.k1_relat_1 _let_1))) (= (tptp.k5_funct_6 C A B) (tptp.k5_funct_6 _let_1 B A))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (= (= B (tptp.k7_funct_6 A)) (and (= (tptp.k1_relat_1 B) (tptp.k4_card_3 (tptp.k2_funct_6 A))) (forall ((C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (not (and (tptp.r2_hidden C (tptp.k4_card_3 (tptp.k2_funct_6 A))) (forall ((D $$unsorted)) (=> (and (tptp.v1_relat_1 D) (tptp.v1_funct_1 D)) (not (and (= (tptp.k1_funct_1 B C) D) (= (tptp.k1_relat_1 D) (tptp.k10_relat_1 A (tptp.k1_funct_6 (tptp.k2_relat_1 A)))) (forall ((E $$unsorted)) (=> (tptp.r2_hidden E (tptp.k1_relat_1 D)) (= (tptp.k1_funct_1 D E) (tptp.k1_funct_1 (tptp.k4_funct_5 A) (tptp.k4_tarski E (tptp.k1_funct_1 C E)))))))))))))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (forall ((C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (=> (and (tptp.r2_hidden B (tptp.k4_card_3 (tptp.k2_funct_6 C))) (tptp.r2_hidden A (tptp.k1_relat_1 B))) (= (tptp.k5_funct_6 (tptp.k7_funct_6 C) B A) (tptp.k5_funct_6 C A (tptp.k1_funct_1 B A)))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (forall ((C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (forall ((D $$unsorted)) (=> (and (tptp.v1_relat_1 D) (tptp.v1_funct_1 D)) (forall ((E $$unsorted)) (let ((_let_1 (tptp.k1_funct_1 D A))) (=> (and (tptp.v1_relat_1 E) (tptp.v1_funct_1 E)) (=> (and (tptp.r2_hidden A (tptp.k1_relat_1 B)) (= C (tptp.k1_funct_1 B A)) (tptp.r2_hidden D (tptp.k4_card_3 (tptp.k2_funct_6 B))) (= E (tptp.k1_funct_1 (tptp.k7_funct_6 B) D))) (and (tptp.r2_hidden _let_1 (tptp.k1_relat_1 C)) (= (tptp.k1_funct_1 E A) (tptp.k1_funct_1 C _let_1)) (tptp.r2_hidden E (tptp.k4_card_3 (tptp.k3_funct_6 B)))))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (= (tptp.k2_relat_1 (tptp.k7_funct_6 A)) (tptp.k4_card_3 (tptp.k3_funct_6 A))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (=> (not (tptp.r2_hidden tptp.k1_xboole_0 (tptp.k2_relat_1 A))) (= (tptp.v2_funct_1 (tptp.k7_funct_6 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (=> (tptp.r2_hidden B (tptp.k2_relat_1 A)) (tptp.v2_funct_1 B)))))))) (and (= (tptp.k6_funct_6 tptp.k1_xboole_0) tptp.k1_xboole_0) (= (tptp.k7_funct_6 tptp.k1_xboole_0) (tptp.k2_funcop_1 _let_17 tptp.k1_xboole_0))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (and (= (tptp.k1_relat_1 (tptp.k6_funct_6 (tptp.k9_finseq_1 A))) (tptp.k1_relat_1 A)) (forall ((B $$unsorted)) (=> (tptp.r2_hidden B (tptp.k1_relat_1 A)) (= (tptp.k1_funct_1 (tptp.k6_funct_6 (tptp.k9_finseq_1 A)) B) (tptp.k9_finseq_1 (tptp.k1_funct_1 A B)))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (and (= (tptp.k1_relat_1 (tptp.k6_funct_6 (tptp.k10_finseq_1 A B))) (tptp.k3_xboole_0 (tptp.k1_relat_1 A) (tptp.k1_relat_1 B))) (forall ((C $$unsorted)) (=> (tptp.r2_hidden C (tptp.k3_xboole_0 (tptp.k1_relat_1 A) (tptp.k1_relat_1 B))) (= (tptp.k1_funct_1 (tptp.k6_funct_6 (tptp.k10_finseq_1 A B)) C) (tptp.k10_finseq_1 (tptp.k1_funct_1 A C) (tptp.k1_funct_1 B C)))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (=> (not (= A tptp.k1_xboole_0)) (and (= (tptp.k1_relat_1 (tptp.k6_funct_6 (tptp.k2_funcop_1 A B))) (tptp.k1_relat_1 B)) (forall ((C $$unsorted)) (=> (tptp.r2_hidden C (tptp.k1_relat_1 B)) (= (tptp.k1_funct_1 (tptp.k6_funct_6 (tptp.k2_funcop_1 A B)) C) (tptp.k2_funcop_1 A (tptp.k1_funct_1 B C))))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k7_funct_6 (tptp.k9_finseq_1 A)))) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (and (= (tptp.k1_relat_1 _let_1) (tptp.k4_card_3 (tptp.k9_finseq_1 (tptp.k1_relat_1 A)))) (= (tptp.k2_relat_1 _let_1) (tptp.k4_card_3 (tptp.k9_finseq_1 (tptp.k2_relat_1 A)))) (forall ((B $$unsorted)) (=> (tptp.r2_hidden B (tptp.k1_relat_1 A)) (= (tptp.k1_funct_1 (tptp.k7_funct_6 (tptp.k9_finseq_1 A)) (tptp.k9_finseq_1 B)) (tptp.k9_finseq_1 (tptp.k1_funct_1 A B))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k7_funct_6 (tptp.k10_finseq_1 A B)))) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (and (= (tptp.k1_relat_1 _let_1) (tptp.k4_card_3 (tptp.k10_finseq_1 (tptp.k1_relat_1 A) (tptp.k1_relat_1 B)))) (= (tptp.k2_relat_1 _let_1) (tptp.k4_card_3 (tptp.k10_finseq_1 (tptp.k2_relat_1 A) (tptp.k2_relat_1 B)))) (forall ((C $$unsorted) (D $$unsorted)) (=> (and (tptp.r2_hidden C (tptp.k1_relat_1 A)) (tptp.r2_hidden D (tptp.k1_relat_1 B))) (= (tptp.k1_funct_1 (tptp.k7_funct_6 (tptp.k10_finseq_1 A B)) (tptp.k10_finseq_1 C D)) (tptp.k10_finseq_1 (tptp.k1_funct_1 A C) (tptp.k1_funct_1 B D))))))))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k7_funct_6 (tptp.k2_funcop_1 A B)))) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (and (= (tptp.k1_relat_1 _let_1) (tptp.k1_funct_2 A (tptp.k1_relat_1 B))) (= (tptp.k2_relat_1 _let_1) (tptp.k1_funct_2 A (tptp.k2_relat_1 B))) (forall ((C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (=> (tptp.r2_hidden C (tptp.k1_funct_2 A (tptp.k1_relat_1 B))) (= (tptp.k1_funct_1 (tptp.k7_funct_6 (tptp.k2_funcop_1 A B)) C) (tptp.k5_relat_1 C B))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (forall ((C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (=> (and (tptp.r2_hidden A (tptp.k1_relat_1 B)) (tptp.r2_hidden A (tptp.k1_relat_1 C))) (forall ((D $$unsorted) (E $$unsorted)) (= (= (tptp.k1_funct_1 (tptp.k13_funct_3 B C) A) (tptp.k4_tarski D E)) (= (tptp.k1_funct_1 (tptp.k6_funct_6 (tptp.k10_finseq_1 B C)) A) (tptp.k10_finseq_1 D E))))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (forall ((D $$unsorted)) (=> (and (tptp.v1_relat_1 D) (tptp.v1_funct_1 D)) (=> (and (tptp.r2_hidden A (tptp.k1_relat_1 C)) (tptp.r2_hidden B (tptp.k1_relat_1 D))) (forall ((E $$unsorted) (F $$unsorted)) (= (= (tptp.k1_funct_1 (tptp.k15_funct_3 C D) (tptp.k4_tarski A B)) (tptp.k4_tarski E F)) (= (tptp.k1_funct_1 (tptp.k7_funct_6 (tptp.k10_finseq_1 C D)) (tptp.k10_finseq_1 A B)) (tptp.k10_finseq_1 E F))))))))) (forall ((A $$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) (forall ((D $$unsorted)) (=> (tptp.r2_hidden D A) (tptp.r2_wellord2 (tptp.k1_funct_1 B D) (tptp.k1_funct_1 C D))))) (tptp.r2_wellord2 (tptp.k4_card_3 B) (tptp.k4_card_3 C))))))) (forall ((A $$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)) (=> (and (= (tptp.k1_relat_1 A) (tptp.k1_relat_1 B)) (= (tptp.k1_relat_1 C) (tptp.k2_relat_1 B)) (tptp.v2_funct_1 B) (forall ((D $$unsorted)) (=> (tptp.r2_hidden D (tptp.k1_relat_1 B)) (tptp.r2_wellord2 (tptp.k1_funct_1 A D) (tptp.k1_funct_1 C (tptp.k1_funct_1 B D)))))) (tptp.r2_wellord2 (tptp.k4_card_3 A) (tptp.k4_card_3 C))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (forall ((C $$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.k1_relat_1 B) A) (tptp.r2_wellord2 (tptp.k4_card_3 B) (tptp.k4_card_3 (tptp.k5_relat_1 C B)))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (= (= C (tptp.k8_funct_6 A B)) (and (= (tptp.k1_relat_1 C) (tptp.k1_relat_1 A)) (forall ((D $$unsorted)) (=> (tptp.r2_hidden D (tptp.k1_relat_1 A)) (= (tptp.k1_funct_1 C D) (tptp.k1_funct_2 (tptp.k1_funct_1 A D) B)))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (=> (not (tptp.r2_hidden tptp.k1_xboole_0 (tptp.k2_relat_1 A))) (= (tptp.k8_funct_6 A tptp.k1_xboole_0) (tptp.k2_funcop_1 (tptp.k1_relat_1 A) tptp.k1_xboole_0))))) (forall ((A $$unsorted)) (= (tptp.k8_funct_6 tptp.k1_xboole_0 A) tptp.k1_xboole_0)) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.k8_funct_6 (tptp.k9_finseq_1 A) B) (tptp.k9_finseq_1 (tptp.k1_funct_2 A B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.k8_funct_6 (tptp.k10_finseq_1 A B) C) (tptp.k10_finseq_1 (tptp.k1_funct_2 A C) (tptp.k1_funct_2 B C)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.k8_funct_6 (tptp.k2_funcop_1 A B) C) (tptp.k2_funcop_1 A (tptp.k1_funct_2 B C)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (tptp.r2_wellord2 (tptp.k1_funct_2 (tptp.k3_card_3 (tptp.k2_card_3 B)) A) (tptp.k4_card_3 (tptp.k8_funct_6 B A))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (forall ((C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (= (= C (tptp.k9_funct_6 A B)) (and (= (tptp.k1_relat_1 C) (tptp.k1_relat_1 B)) (forall ((D $$unsorted)) (=> (tptp.r2_hidden D (tptp.k1_relat_1 B)) (= (tptp.k1_funct_1 C D) (tptp.k1_funct_2 A (tptp.k1_funct_1 B D))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (= (tptp.k9_funct_6 tptp.k1_xboole_0 A) (tptp.k2_funcop_1 (tptp.k1_relat_1 A) (tptp.k1_tarski tptp.k1_xboole_0))))) (forall ((A $$unsorted)) (= (tptp.k9_funct_6 A tptp.k1_xboole_0) tptp.k1_xboole_0)) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.k9_funct_6 A (tptp.k9_finseq_1 B)) (tptp.k9_finseq_1 (tptp.k1_funct_2 A B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.k9_funct_6 A (tptp.k10_finseq_1 B C)) (tptp.k10_finseq_1 (tptp.k1_funct_2 A B) (tptp.k1_funct_2 A C)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.k9_funct_6 A (tptp.k2_funcop_1 B C)) (tptp.k2_funcop_1 B (tptp.k1_funct_2 A C)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (tptp.r2_wellord2 (tptp.k4_card_3 (tptp.k9_funct_6 A B)) (tptp.k1_funct_2 A (tptp.k4_card_3 B))))) true true (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (= (tptp.k10_funct_6 A) (tptp.k5_funct_5 (tptp.k4_funct_5 A))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k10_funct_6 A))) (let ((_let_2 (tptp.k1_funct_1 _let_1 B))) (=> (tptp.r2_hidden B (tptp.k1_relat_1 _let_1)) (and (tptp.v1_relat_1 _let_2) (tptp.v1_funct_1 _let_2)))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.v1_relat_1 D) (tptp.v1_funct_1 D)) (=> (tptp.r2_hidden D (tptp.k1_funct_2 A (tptp.k1_funct_2 B C))) (or (= A tptp.k1_xboole_0) (= B tptp.k1_xboole_0) (tptp.r2_hidden (tptp.k10_funct_6 D) (tptp.k1_funct_2 B (tptp.k1_funct_2 A C))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.v1_relat_1 D) (tptp.v1_funct_1 D)) (=> (tptp.r2_hidden D (tptp.k1_funct_2 A (tptp.k1_funct_2 B C))) (or (= A tptp.k1_xboole_0) (= B tptp.k1_xboole_0) (forall ((E $$unsorted)) (=> (and (tptp.v1_relat_1 E) (tptp.v1_funct_1 E)) (forall ((F $$unsorted)) (=> (and (tptp.v1_relat_1 F) (tptp.v1_funct_1 F)) (forall ((G $$unsorted) (H $$unsorted)) (=> (and (tptp.r2_hidden G A) (tptp.r2_hidden H B) (= (tptp.k1_funct_1 D G) E) (= (tptp.k1_funct_1 (tptp.k10_funct_6 D) H) F)) (and (= (tptp.k1_funct_1 F G) (tptp.k1_funct_1 E H)) (= (tptp.k1_relat_1 F) A) (= (tptp.k1_relat_1 E) B) (tptp.r1_tarski (tptp.k2_relat_1 F) C) (tptp.r1_tarski (tptp.k2_relat_1 E) C)))))))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.v1_relat_1 D) (tptp.v1_funct_1 D)) (=> (tptp.r2_hidden D (tptp.k1_funct_2 A (tptp.k1_funct_2 B C))) (or (= A tptp.k1_xboole_0) (= B tptp.k1_xboole_0) (= (tptp.k10_funct_6 (tptp.k10_funct_6 D)) D))))) (= (tptp.k10_funct_6 tptp.k1_xboole_0) tptp.k1_xboole_0) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_funcop_1 A)) (= (tptp.k1_relat_1 (tptp.k2_funct_6 A)) (tptp.k1_relat_1 A)))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_funcop_1 A)) (= (tptp.k1_relat_1 (tptp.k3_funct_6 A)) (tptp.k1_relat_1 A)))) true (forall ((A $$unsorted)) (let ((_let_1 (tptp.k2_funct_6 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 $$unsorted)) (let ((_let_1 (tptp.k3_funct_6 A))) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (and (tptp.v1_relat_1 _let_1) (tptp.v1_funct_1 _let_1))))) true true (forall ((A $$unsorted)) (let ((_let_1 (tptp.k6_funct_6 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 $$unsorted)) (let ((_let_1 (tptp.k7_funct_6 A))) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (and (tptp.v1_relat_1 _let_1) (tptp.v1_funct_1 _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k8_funct_6 A B))) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (and (tptp.v1_relat_1 _let_1) (tptp.v1_funct_1 _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k9_funct_6 A B))) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (and (tptp.v1_relat_1 _let_1) (tptp.v1_funct_1 _let_1))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k10_funct_6 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) (tptp.v1_funcop_1 _let_1))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (= (tptp.k4_card_3 (tptp.k10_finseq_1 A B)) (tptp.a_2_0_funct_6 A B)))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (=> (not (tptp.v1_xboole_0 C)) (= (tptp.k4_card_3 (tptp.k11_finseq_1 A B C)) (tptp.a_3_0_funct_6 A B C)))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (not (tptp.v1_xboole_0 C))) (= (tptp.r2_hidden A (tptp.a_2_0_funct_6 B C)) (exists ((D $$unsorted) (E $$unsorted)) (and (tptp.m1_subset_1 D B) (tptp.m1_subset_1 E C) (= A (tptp.k10_finseq_1 D E))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (not (tptp.v1_xboole_0 C)) (not (tptp.v1_xboole_0 D))) (= (tptp.r2_hidden A (tptp.a_3_0_funct_6 B C D)) (exists ((E $$unsorted) (F $$unsorted) (G $$unsorted)) (and (tptp.m1_subset_1 E B) (tptp.m1_subset_1 F C) (tptp.m1_subset_1 G D) (= A (tptp.k11_finseq_1 E F G))))))) (forall ((A $$unsorted) (B $$unsorted)) (tptp.v1_relat_1 (tptp.k2_zfmisc_1 A B))) true true true true true true true true true true true (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A B))) (not (and (not (= A tptp.k1_xboole_0)) (not (= B tptp.k1_xboole_0)) (not (and (= (tptp.k1_relat_1 _let_1) A) (= (tptp.k2_relat_1 _let_1) B))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k3_xboole_0 C (tptp.k2_zfmisc_1 A B)))) (=> (tptp.v1_relat_1 C) (and (tptp.r1_tarski (tptp.k1_relat_1 _let_1) A) (tptp.r1_tarski (tptp.k2_relat_1 _let_1) B))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A B))) (let ((_let_2 (tptp.k3_xboole_0 (tptp.k4_relat_1 C) _let_1))) (let ((_let_3 (tptp.k3_xboole_0 C _let_1))) (=> (tptp.v1_relat_1 C) (=> (tptp.r1_xboole_0 A B) (and (tptp.r1_xboole_0 (tptp.k1_relat_1 _let_3) (tptp.k2_relat_1 _let_3)) (tptp.r1_xboole_0 (tptp.k1_relat_1 _let_2) (tptp.k2_relat_1 _let_2))))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.v1_relat_1 C) (=> (tptp.r1_tarski C (tptp.k2_zfmisc_1 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 $$unsorted)) (=> (tptp.v1_relat_1 C) (=> (tptp.r1_tarski C (tptp.k2_zfmisc_1 A B)) (tptp.r1_tarski (tptp.k4_relat_1 C) (tptp.k2_zfmisc_1 B A))))) true (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.k4_relat_1 (tptp.k2_zfmisc_1 A B)) (tptp.k2_zfmisc_1 B A))) true (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (forall ((B $$unsorted)) (=> (tptp.v1_relat_1 B) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k5_relat_1 A C))) (=> (tptp.v1_relat_1 C) (and (= (tptp.k5_relat_1 (tptp.k2_xboole_0 A B) C) (tptp.k2_xboole_0 _let_1 (tptp.k5_relat_1 B C))) (= (tptp.k5_relat_1 A (tptp.k2_xboole_0 B C)) (tptp.k2_xboole_0 (tptp.k5_relat_1 A B) _let_1)))))))))) true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (let ((_let_1 (tptp.r2_hidden C B))) (let ((_let_2 (tptp.r2_hidden D B))) (let ((_let_3 (not _let_2))) (let ((_let_4 (tptp.r2_hidden C A))) (let ((_let_5 (not _let_4))) (let ((_let_6 (tptp.r2_hidden D A))) (let ((_let_7 (tptp.r2_hidden (tptp.k4_tarski C D) E))) (let ((_let_8 (tptp.r1_tarski E (tptp.k2_xboole_0 (tptp.k2_zfmisc_1 A B) (tptp.k2_zfmisc_1 B A))))) (let ((_let_9 (tptp.r1_xboole_0 A B))) (let ((_let_10 (not _let_1))) (let ((_let_11 (not _let_6))) (=> (tptp.v1_relat_1 E) (and (=> (and _let_9 _let_8 _let_7 _let_4) (and _let_10 _let_11 _let_2)) (=> (and _let_9 _let_8 _let_7 _let_2) (and _let_11 _let_10 _let_4)) (=> (and _let_9 _let_8 _let_7 _let_1) (and _let_5 _let_3 _let_6)) (=> (and _let_9 _let_8 _let_7 _let_6) (and _let_5 _let_3 _let_1)))))))))))))))) true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.r1_tarski D (tptp.k2_zfmisc_1 A B)))) (=> (tptp.v1_relat_1 D) (and (=> (and _let_1 (tptp.r1_tarski C A)) (= (tptp.k7_relat_1 D C) (tptp.k3_xboole_0 D (tptp.k2_zfmisc_1 C B)))) (=> (and _let_1 (tptp.r1_tarski C B)) (= (tptp.k8_relat_1 C D) (tptp.k3_xboole_0 D (tptp.k2_zfmisc_1 A C)))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (=> (tptp.v1_relat_1 E) (=> (and (tptp.r1_tarski E (tptp.k2_zfmisc_1 A B)) (= A (tptp.k2_xboole_0 C D))) (= E (tptp.k2_xboole_0 (tptp.k7_relat_1 E C) (tptp.k7_relat_1 E D)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A B))) (=> (tptp.v1_relat_1 C) (=> (and (tptp.r1_xboole_0 A B) (tptp.r1_tarski C (tptp.k2_xboole_0 _let_1 (tptp.k2_zfmisc_1 B A)))) (tptp.r1_tarski (tptp.k7_relat_1 C A) _let_1))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (forall ((B $$unsorted)) (=> (tptp.v1_relat_1 B) (=> (tptp.r1_tarski A B) (tptp.r1_tarski (tptp.k4_relat_1 A) (tptp.k4_relat_1 B))))))) true (forall ((A $$unsorted)) (let ((_let_1 (tptp.k6_relat_1 A))) (= (tptp.k5_relat_1 _let_1 _let_1) _let_1))) (forall ((A $$unsorted)) (= (tptp.k6_relat_1 (tptp.k1_tarski A)) (tptp.k1_tarski (tptp.k4_tarski A A)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k6_relat_1 C))) (= (tptp.r2_hidden (tptp.k4_tarski A B) _let_1) (tptp.r2_hidden (tptp.k4_tarski B A) _let_1)))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k6_relat_1 B))) (let ((_let_2 (tptp.k6_relat_1 A))) (and (= (tptp.k6_relat_1 (tptp.k2_xboole_0 A B)) (tptp.k2_xboole_0 _let_2 _let_1)) (= (tptp.k6_relat_1 (tptp.k3_xboole_0 A B)) (tptp.k3_xboole_0 _let_2 _let_1)) (= (tptp.k6_relat_1 (tptp.k4_xboole_0 A B)) (tptp.k4_xboole_0 _let_2 _let_1)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.r1_tarski A B) (tptp.r1_tarski (tptp.k6_relat_1 A) (tptp.k6_relat_1 B)))) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.k4_xboole_0 (tptp.k6_relat_1 (tptp.k4_xboole_0 A B)) (tptp.k6_relat_1 A)) tptp.k1_xboole_0)) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k6_relat_1 (tptp.k1_relat_1 A)))) (=> (tptp.v1_relat_1 A) (=> (tptp.r1_tarski A _let_1) (= A _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k4_relat_1 B))) (let ((_let_2 (tptp.k6_relat_1 A))) (=> (tptp.v1_relat_1 B) (=> (tptp.r1_tarski _let_2 (tptp.k2_xboole_0 B _let_1)) (and (tptp.r1_tarski _let_2 B) (tptp.r1_tarski _let_2 _let_1))))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k6_relat_1 A))) (=> (tptp.v1_relat_1 B) (=> (tptp.r1_tarski _let_1 B) (tptp.r1_tarski _let_1 (tptp.k4_relat_1 B)))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k4_xboole_0 B (tptp.k6_relat_1 A)))) (=> (tptp.v1_relat_1 B) (=> (tptp.r1_tarski B (tptp.k2_zfmisc_1 A A)) (and (= (tptp.k4_xboole_0 B (tptp.k6_relat_1 (tptp.k1_relat_1 B))) _let_1) (= (tptp.k4_xboole_0 B (tptp.k6_relat_1 (tptp.k2_relat_1 B))) _let_1)))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k6_relat_1 A))) (let ((_let_2 (tptp.k4_xboole_0 B _let_1))) (=> (tptp.v1_relat_1 B) (and (=> (= (tptp.k5_relat_1 _let_1 _let_2) tptp.k1_xboole_0) (= (tptp.k1_relat_1 _let_2) (tptp.k4_xboole_0 (tptp.k1_relat_1 B) (tptp.k1_relat_1 _let_1)))) (=> (= (tptp.k5_relat_1 _let_2 _let_1) tptp.k1_xboole_0) (= (tptp.k2_relat_1 _let_2) (tptp.k4_xboole_0 (tptp.k2_relat_1 B) (tptp.k2_relat_1 _let_1))))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k6_relat_1 (tptp.k1_relat_1 A)))) (let ((_let_2 (tptp.r1_tarski A (tptp.k5_relat_1 A A)))) (let ((_let_3 (tptp.k6_relat_1 (tptp.k2_relat_1 A)))) (=> (tptp.v1_relat_1 A) (and (=> (and _let_2 (= (tptp.k5_relat_1 A (tptp.k4_xboole_0 A _let_3)) tptp.k1_xboole_0)) (tptp.r1_tarski _let_3 A)) (=> (and _let_2 (= (tptp.k5_relat_1 (tptp.k4_xboole_0 A _let_1) A) tptp.k1_xboole_0)) (tptp.r1_tarski _let_1 A)))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k6_relat_1 (tptp.k1_relat_1 A)))) (let ((_let_2 (tptp.r1_tarski A (tptp.k5_relat_1 A A)))) (let ((_let_3 (tptp.k6_relat_1 (tptp.k2_relat_1 A)))) (=> (tptp.v1_relat_1 A) (and (=> (and _let_2 (= (tptp.k5_relat_1 A (tptp.k4_xboole_0 A _let_3)) tptp.k1_xboole_0)) (= (tptp.k3_xboole_0 A _let_3) _let_3)) (=> (and _let_2 (= (tptp.k5_relat_1 (tptp.k4_xboole_0 A _let_1) A) tptp.k1_xboole_0)) (= (tptp.k3_xboole_0 A _let_1) _let_1)))))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k1_relat_1 B))) (let ((_let_2 (tptp.k4_xboole_0 B (tptp.k6_relat_1 A)))) (let ((_let_3 (tptp.k2_relat_1 B))) (=> (tptp.v1_relat_1 B) (and (=> (and (= (tptp.k5_relat_1 B _let_2) tptp.k1_xboole_0) (tptp.r1_tarski _let_3 A)) (= (tptp.k5_relat_1 B (tptp.k4_xboole_0 B (tptp.k6_relat_1 _let_3))) tptp.k1_xboole_0)) (=> (and (= (tptp.k5_relat_1 _let_2 B) tptp.k1_xboole_0) (tptp.r1_tarski _let_1 A)) (= (tptp.k5_relat_1 (tptp.k4_xboole_0 B (tptp.k6_relat_1 _let_1)) B) tptp.k1_xboole_0)))))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (= (tptp.k1_sysrel A) (tptp.k3_xboole_0 A (tptp.k6_relat_1 (tptp.k1_relat_1 A)))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k1_sysrel A))) (=> (tptp.v1_relat_1 A) (and (tptp.r1_tarski _let_1 A) (tptp.r1_tarski _let_1 (tptp.k6_relat_1 (tptp.k1_relat_1 A))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k1_sysrel C))) (=> (tptp.v1_relat_1 C) (=> (tptp.r2_hidden (tptp.k4_tarski A B) _let_1) (and (tptp.r2_hidden A (tptp.k1_relat_1 _let_1)) (= A B)))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k1_sysrel A))) (=> (tptp.v1_relat_1 A) (= (tptp.k1_relat_1 _let_1) (tptp.k2_relat_1 _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k1_sysrel B))) (let ((_let_2 (tptp.r2_hidden A (tptp.k1_relat_1 _let_1)))) (let ((_let_3 (tptp.r2_hidden (tptp.k4_tarski A A) B))) (let ((_let_4 (and (tptp.r2_hidden A (tptp.k2_relat_1 B)) _let_3))) (let ((_let_5 (tptp.r2_hidden A (tptp.k2_relat_1 _let_1)))) (let ((_let_6 (and (tptp.r2_hidden A (tptp.k1_relat_1 B)) _let_3))) (=> (tptp.v1_relat_1 B) (and (=> _let_2 _let_6) (=> _let_6 _let_2) (=> _let_5 _let_6) (=> _let_6 _let_5) (=> _let_5 _let_4) (=> _let_4 _let_5) (=> _let_2 _let_4) (=> _let_4 _let_2)))))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k1_sysrel A))) (=> (tptp.v1_relat_1 A) (= _let_1 (tptp.k6_relat_1 (tptp.k1_relat_1 _let_1)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k1_sysrel C))) (let ((_let_2 (tptp.k1_relat_1 _let_1))) (let ((_let_3 (= A B))) (let ((_let_4 (tptp.r2_hidden (tptp.k4_tarski A B) C))) (let ((_let_5 (tptp.k4_xboole_0 C _let_1))) (let ((_let_6 (= (tptp.k5_relat_1 C C) C))) (=> (tptp.v1_relat_1 C) (and (=> (and _let_6 (= (tptp.k5_relat_1 C _let_5) tptp.k1_xboole_0) _let_4) (or _let_3 (and (tptp.r2_hidden A (tptp.k4_xboole_0 (tptp.k1_relat_1 C) _let_2)) (tptp.r2_hidden B _let_2)))) (=> (and _let_6 (= (tptp.k5_relat_1 _let_5 C) tptp.k1_xboole_0) _let_4) (or _let_3 (and (tptp.r2_hidden B (tptp.k4_xboole_0 (tptp.k2_relat_1 C) _let_2)) (tptp.r2_hidden A _let_2))))))))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k1_relat_1 (tptp.k1_sysrel C)))) (let ((_let_2 (= A B))) (let ((_let_3 (tptp.r2_hidden (tptp.k4_tarski A B) C))) (let ((_let_4 (tptp.k1_relat_1 C))) (let ((_let_5 (tptp.k4_xboole_0 C (tptp.k6_relat_1 _let_4)))) (let ((_let_6 (= (tptp.k5_relat_1 C C) C))) (=> (tptp.v1_relat_1 C) (and (=> (and _let_6 (= (tptp.k5_relat_1 C _let_5) tptp.k1_xboole_0) _let_3) (or _let_2 (and (tptp.r2_hidden A (tptp.k4_xboole_0 _let_4 _let_1)) (tptp.r2_hidden B _let_1)))) (=> (and _let_6 (= (tptp.k5_relat_1 _let_5 C) tptp.k1_xboole_0) _let_3) (or _let_2 (and (tptp.r2_hidden B (tptp.k4_xboole_0 (tptp.k2_relat_1 C) _let_1)) (tptp.r2_hidden A _let_1))))))))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k1_relat_1 A))) (let ((_let_2 (tptp.k1_sysrel A))) (let ((_let_3 (tptp.k2_relat_1 _let_2))) (let ((_let_4 (tptp.k1_relat_1 _let_2))) (let ((_let_5 (tptp.k4_xboole_0 A (tptp.k6_relat_1 _let_1)))) (let ((_let_6 (= (tptp.k5_relat_1 A A) A))) (let ((_let_7 (tptp.k2_relat_1 A))) (=> (tptp.v1_relat_1 A) (and (=> (and _let_6 (= (tptp.k5_relat_1 A _let_5) tptp.k1_xboole_0)) (and (= _let_4 _let_7) (= _let_3 _let_7))) (=> (and _let_6 (= (tptp.k5_relat_1 _let_5 A) tptp.k1_xboole_0)) (and (= _let_4 _let_1) (= _let_3 _let_1))))))))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k2_relat_1 A))) (let ((_let_2 (tptp.k1_sysrel A))) (let ((_let_3 (tptp.k1_relat_1 _let_2))) (let ((_let_4 (tptp.k1_relat_1 A))) (let ((_let_5 (tptp.k2_relat_1 _let_2))) (=> (tptp.v1_relat_1 A) (and (tptp.r1_tarski _let_3 _let_4) (tptp.r1_tarski _let_5 _let_1) (tptp.r1_tarski _let_5 _let_4) (tptp.r1_tarski _let_3 _let_1))))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k6_relat_1 (tptp.k1_relat_1 A)))) (let ((_let_2 (tptp.k1_sysrel A))) (=> (tptp.v1_relat_1 A) (and (tptp.r1_tarski (tptp.k6_relat_1 (tptp.k1_relat_1 _let_2)) _let_1) (tptp.r1_tarski (tptp.k6_relat_1 (tptp.k2_relat_1 _let_2)) _let_1)))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k1_sysrel A))) (=> (tptp.v1_relat_1 A) (and (tptp.r1_tarski (tptp.k6_relat_1 (tptp.k1_relat_1 _let_1)) A) (tptp.r1_tarski (tptp.k6_relat_1 (tptp.k2_relat_1 _let_1)) A))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k6_relat_1 A))) (let ((_let_2 (tptp.k4_xboole_0 B _let_1))) (let ((_let_3 (tptp.r1_tarski _let_1 B))) (=> (tptp.v1_relat_1 B) (and (=> (and _let_3 (= (tptp.k5_relat_1 _let_1 _let_2) tptp.k1_xboole_0)) (= (tptp.k7_relat_1 B A) _let_1)) (=> (and _let_3 (= (tptp.k5_relat_1 _let_2 _let_1) tptp.k1_xboole_0)) (= (tptp.k8_relat_1 A B) _let_1)))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k1_sysrel A))) (let ((_let_2 (tptp.k2_relat_1 _let_1))) (let ((_let_3 (tptp.k6_relat_1 _let_2))) (let ((_let_4 (tptp.k1_relat_1 _let_1))) (let ((_let_5 (tptp.k6_relat_1 _let_4))) (=> (tptp.v1_relat_1 A) (and (=> (= (tptp.k5_relat_1 _let_5 (tptp.k4_xboole_0 A _let_5)) tptp.k1_xboole_0) (and (= (tptp.k7_relat_1 A _let_4) _let_5) (= (tptp.k7_relat_1 A _let_2) _let_5))) (=> (= (tptp.k5_relat_1 (tptp.k4_xboole_0 A _let_3) _let_3) tptp.k1_xboole_0) (and (= (tptp.k8_relat_1 _let_4 A) _let_5) (= (tptp.k8_relat_1 _let_2 A) _let_3))))))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k6_relat_1 (tptp.k1_relat_1 (tptp.k1_sysrel A))))) (let ((_let_2 (tptp.k4_xboole_0 A _let_1))) (let ((_let_3 (tptp.k4_xboole_0 A (tptp.k6_relat_1 (tptp.k1_relat_1 A))))) (=> (tptp.v1_relat_1 A) (and (=> (= (tptp.k5_relat_1 A _let_3) tptp.k1_xboole_0) (= (tptp.k5_relat_1 _let_1 _let_2) tptp.k1_xboole_0)) (=> (= (tptp.k5_relat_1 _let_3 A) tptp.k1_xboole_0) (= (tptp.k5_relat_1 _let_2 _let_1) tptp.k1_xboole_0)))))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k4_xboole_0 B (tptp.k6_relat_1 (tptp.k1_relat_1 B))))) (=> (tptp.v1_relat_1 B) (and (=> (and (= (tptp.k5_relat_1 A B) A) (= (tptp.k5_relat_1 B _let_1) tptp.k1_xboole_0)) (= (tptp.k5_relat_1 A _let_1) tptp.k1_xboole_0)) (=> (and (= (tptp.k5_relat_1 B A) A) (= (tptp.k5_relat_1 _let_1 B) tptp.k1_xboole_0)) (= (tptp.k5_relat_1 _let_1 A) tptp.k1_xboole_0)))))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (forall ((B $$unsorted)) (let ((_let_1 (tptp.r1_tarski (tptp.k1_sysrel A) (tptp.k1_sysrel B)))) (let ((_let_2 (tptp.k4_xboole_0 B (tptp.k6_relat_1 (tptp.k1_relat_1 B))))) (=> (tptp.v1_relat_1 B) (and (=> (and (= (tptp.k5_relat_1 A B) A) (= (tptp.k5_relat_1 B _let_2) tptp.k1_xboole_0)) _let_1) (=> (and (= (tptp.k5_relat_1 B A) A) (= (tptp.k5_relat_1 _let_2 B) tptp.k1_xboole_0)) _let_1)))))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (forall ((B $$unsorted)) (let ((_let_1 (= (tptp.k1_sysrel A) (tptp.k1_sysrel B)))) (let ((_let_2 (tptp.k4_xboole_0 A (tptp.k6_relat_1 (tptp.k1_relat_1 A))))) (let ((_let_3 (tptp.k5_relat_1 A B))) (let ((_let_4 (tptp.k4_xboole_0 B (tptp.k6_relat_1 (tptp.k1_relat_1 B))))) (let ((_let_5 (tptp.k5_relat_1 B A))) (=> (tptp.v1_relat_1 B) (and (=> (and (= _let_3 A) (= (tptp.k5_relat_1 B _let_4) tptp.k1_xboole_0) (= _let_5 B) (= (tptp.k5_relat_1 A _let_2) tptp.k1_xboole_0)) _let_1) (=> (and (= _let_5 A) (= (tptp.k5_relat_1 _let_4 B) tptp.k1_xboole_0) (= _let_3 B) (= (tptp.k5_relat_1 _let_2 A) tptp.k1_xboole_0)) _let_1))))))))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (tptp.v1_relat_1 (tptp.k1_sysrel A)))) (and _let_80 _let_79 _let_78 _let_77 (not (tptp.v1_finset_1 tptp.k5_ordinal2)) _let_76 _let_75 _let_74 _let_73 _let_72) (forall ((A $$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))))))))))))) (forall ((A $$unsorted)) (= (tptp.v1_card_4 A) (tptp.r1_tarski (tptp.k1_card_1 A) (tptp.k3_card_1 tptp.np__0)))) (forall ((A $$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_70 tptp.k5_numbers) (= _let_71 (tptp.k1_card_1 _let_70))) (= (tptp.k2_card_2 _let_60 _let_60) _let_60) (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))))) (and _let_58 _let_57 _let_63 _let_69 _let_62 _let_68 _let_67 _let_66 _let_65 _let_64 _let_59) (forall ((A $$unsorted) (B $$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)) (exists ((C $$unsorted)) (and (tptp.m1_toler_1 C A B) (tptp.v1_toler_1 C A B))))) (= (tptp.k3_relat_1 tptp.k1_xboole_0) tptp.k1_xboole_0) _let_63 _let_62 _let_69 _let_68 _let_67 _let_66 _let_65 _let_64 true true true (forall ((A $$unsorted)) (= (tptp.k5_relset_1 A A (tptp.k1_eqrel_1 A)) A)) true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.r2_hidden B A) (tptp.r2_hidden C A)) (tptp.r2_hidden (tptp.k4_tarski B C) (tptp.k1_eqrel_1 A)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k1_eqrel_1 A))) (let ((_let_2 (tptp.k3_relat_1 _let_1))) (=> (and (tptp.r2_hidden B _let_2) (tptp.r2_hidden C _let_2)) (tptp.r2_hidden (tptp.k4_tarski B C) _let_1))))) true true (forall ((A $$unsorted)) (tptp.v7_relat_2 (tptp.k1_eqrel_1 A))) true (forall ((A $$unsorted)) (tptp.v6_relat_2 (tptp.k1_eqrel_1 A))) true true true (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)) (= (tptp.k5_relset_1 A A B) A))) 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 $$unsorted)) (=> (and (tptp.v1_relat_2 B) (tptp.v3_relat_2 B) (tptp.v1_partfun1 B A A) (tptp.m2_relset_1 B A A)) (tptp.r1_relat_2 B A))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_relat_2 B) (tptp.v3_relat_2 B) (tptp.v1_partfun1 B A A) (tptp.m2_relset_1 B A A)) (tptp.r3_relat_2 B A))) true true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (tptp.m2_relset_1 D A B) (=> (tptp.v3_relat_2 D) (tptp.v3_relat_2 (tptp.k1_toler_1 D C))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k1_toler_1 C A))) (=> (and (tptp.v1_relat_2 C) (tptp.v3_relat_2 C) (tptp.v1_partfun1 C B B) (tptp.m2_relset_1 C B B)) (=> (tptp.r1_tarski A B) (and (tptp.v1_relat_2 _let_1) (tptp.v3_relat_2 _let_1) (tptp.v1_partfun1 _let_1 A A) (tptp.m2_relset_1 _let_1 A A)))))) true true (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 $$unsorted)) (= (tptp.m1_toler_1 C A B) (forall ((D $$unsorted) (E $$unsorted)) (=> (and (tptp.r2_hidden D C) (tptp.r2_hidden E C)) (tptp.r2_hidden (tptp.k4_tarski D E) B))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_relat_2 B) (tptp.v3_relat_2 B) (tptp.v1_partfun1 B A A) (tptp.m2_relset_1 B A A)) (tptp.m1_toler_1 tptp.k1_xboole_0 A B))) (forall ((A $$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.m1_toler_1 C A B) (= (tptp.v1_toler_1 C A B) (forall ((D $$unsorted)) (not (and (not (tptp.r2_hidden D C)) (tptp.r2_hidden D A) (forall ((E $$unsorted)) (not (and (tptp.r2_hidden E C) (not (tptp.r2_hidden (tptp.k4_tarski D E) B))))))))))))) true true true (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)) (=> (and (tptp.v1_toler_1 tptp.k1_xboole_0 A B) (tptp.m1_toler_1 tptp.k1_xboole_0 A B)) (= B tptp.k1_xboole_0)))) (and _let_63 _let_62 (tptp.v1_partfun1 tptp.k1_xboole_0 tptp.k1_xboole_0 tptp.k1_xboole_0) (tptp.m2_relset_1 tptp.k1_xboole_0 tptp.k1_xboole_0 tptp.k1_xboole_0)) (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 $$unsorted) (D $$unsorted)) (=> (tptp.r2_hidden (tptp.k4_tarski C D) B) (tptp.m1_toler_1 (tptp.k2_tarski C D) A 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 $$unsorted)) (=> (tptp.r2_hidden C A) (tptp.m1_toler_1 (tptp.k1_tarski C) A B))))) (forall ((A $$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) (D $$unsorted)) (=> (and (tptp.m1_toler_1 C A B) (tptp.m1_toler_1 D A B)) (tptp.m1_toler_1 (tptp.k3_xboole_0 C D) A B))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_relat_2 C) (tptp.v3_relat_2 C) (tptp.v1_partfun1 C B B) (tptp.m2_relset_1 C B B)) (=> (tptp.m1_toler_1 A B C) (tptp.r1_tarski A B)))) true (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 $$unsorted)) (=> (tptp.m1_toler_1 C A B) (exists ((D $$unsorted)) (and (tptp.v1_toler_1 D A B) (tptp.m1_toler_1 D A B) (tptp.r1_tarski 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 $$unsorted) (D $$unsorted)) (not (and (tptp.r2_hidden (tptp.k4_tarski C D) B) (forall ((E $$unsorted)) (=> (and (tptp.v1_toler_1 E A B) (tptp.m1_toler_1 E A B)) (not (and (tptp.r2_hidden C E) (tptp.r2_hidden D E)))))))))) (forall ((A $$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 $$unsorted)) (=> (and (tptp.v1_toler_1 D A B) (tptp.m1_toler_1 D A B)) (not (tptp.r2_hidden C D))))))))) true (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_relat_2 B) (tptp.v3_relat_2 B) (tptp.v1_partfun1 B A A) (tptp.m2_relset_1 B A A)) (tptp.r1_tarski B (tptp.k1_eqrel_1 A)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_relat_2 B) (tptp.v3_relat_2 B) (tptp.v1_partfun1 B A A) (tptp.m2_relset_1 B A A)) (tptp.r1_tarski (tptp.k6_partfun1 A) B))) (forall ((A $$unsorted)) (exists ((B $$unsorted)) (let ((_let_1 (tptp.k3_tarski A))) (and (tptp.v1_relat_2 B) (tptp.v3_relat_2 B) (tptp.v1_partfun1 B _let_1 _let_1) (tptp.m2_relset_1 B _let_1 _let_1) (forall ((C $$unsorted)) (=> (tptp.r2_hidden C A) (tptp.m1_toler_1 C (tptp.k3_tarski A) B))))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k3_tarski A))) (=> (and (tptp.v1_relat_2 B) (tptp.v3_relat_2 B) (tptp.v1_partfun1 B _let_1 _let_1) (tptp.m2_relset_1 B _let_1 _let_1)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k3_tarski A))) (=> (and (tptp.v1_relat_2 C) (tptp.v3_relat_2 C) (tptp.v1_partfun1 C _let_1 _let_1) (tptp.m2_relset_1 C _let_1 _let_1)) (=> (and (forall ((D $$unsorted) (E $$unsorted)) (= (tptp.r2_hidden (tptp.k4_tarski D E) B) (exists ((F $$unsorted)) (and (tptp.r2_hidden F A) (tptp.r2_hidden D F) (tptp.r2_hidden E F))))) (forall ((D $$unsorted) (E $$unsorted)) (= (tptp.r2_hidden (tptp.k4_tarski D E) C) (exists ((F $$unsorted)) (and (tptp.r2_hidden F A) (tptp.r2_hidden D F) (tptp.r2_hidden E F)))))) (= B C)))))))) (forall ((A $$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)) (=> (and (tptp.v1_relat_2 C) (tptp.v3_relat_2 C) (tptp.v1_partfun1 C A A) (tptp.m2_relset_1 C A A)) (=> (forall ((D $$unsorted)) (= (and (tptp.v1_toler_1 D A B) (tptp.m1_toler_1 D A B)) (and (tptp.v1_toler_1 D A C) (tptp.m1_toler_1 D A C)))) (= B C)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_relat_2 C) (tptp.v3_relat_2 C) (tptp.v1_partfun1 C A A) (tptp.m2_relset_1 C A A)) (forall ((D $$unsorted)) (= (tptp.r2_hidden D (tptp.k6_eqrel_1 A C B)) (tptp.r2_hidden (tptp.k4_tarski B D) C))))) true true true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_relat_2 C) (tptp.v3_relat_2 C) (tptp.v1_partfun1 C A A) (tptp.m2_relset_1 C A A)) (forall ((D $$unsorted)) (=> (forall ((E $$unsorted)) (= (tptp.r2_hidden E D) (and (tptp.r2_hidden B E) (tptp.v1_toler_1 E A C) (tptp.m1_toler_1 E A C)))) (= (tptp.k6_eqrel_1 A C B) (tptp.k3_tarski D)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_relat_2 C) (tptp.v3_relat_2 C) (tptp.v1_partfun1 C A A) (tptp.m2_relset_1 C A A)) (forall ((D $$unsorted)) (=> (forall ((E $$unsorted)) (= (tptp.r2_hidden E D) (and (tptp.r2_hidden B E) (tptp.m1_toler_1 E A C)))) (= (tptp.k6_eqrel_1 A C B) (tptp.k3_tarski D)))))) true (forall ((A $$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)) (= (= C (tptp.k3_toler_1 A B)) (forall ((D $$unsorted)) (= (tptp.r2_hidden D C) (tptp.m1_toler_1 D A B))))))) (forall ((A $$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)) (= (= C (tptp.k4_toler_1 A B)) (forall ((D $$unsorted)) (= (tptp.r2_hidden D C) (and (tptp.v1_toler_1 D A B) (tptp.m1_toler_1 D A B)))))))) true true true true (forall ((A $$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)) (=> (and (tptp.v1_relat_2 C) (tptp.v3_relat_2 C) (tptp.v1_partfun1 C A A) (tptp.m2_relset_1 C A A)) (=> (tptp.r1_tarski (tptp.k4_toler_1 A B) (tptp.k4_toler_1 A C)) (tptp.r1_tarski 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 $$unsorted)) (=> (and (tptp.v1_relat_2 C) (tptp.v3_relat_2 C) (tptp.v1_partfun1 C A A) (tptp.m2_relset_1 C A A)) (=> (= (tptp.k4_toler_1 A B) (tptp.k4_toler_1 A C)) (= B C)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_relat_2 B) (tptp.v3_relat_2 B) (tptp.v1_partfun1 B A A) (tptp.m2_relset_1 B A A)) (= (tptp.k3_tarski (tptp.k4_toler_1 A B)) A))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_relat_2 B) (tptp.v3_relat_2 B) (tptp.v1_partfun1 B A A) (tptp.m2_relset_1 B A A)) (= (tptp.k3_tarski (tptp.k3_toler_1 A B)) A))) (forall ((A $$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.m1_toler_1 (tptp.k6_eqrel_1 A B C) A B))) (tptp.v8_relat_2 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)) (=> (tptp.v8_relat_2 B) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k6_eqrel_1 A B C))) (=> (tptp.r2_hidden C A) (and (tptp.v1_toler_1 _let_1 A B) (tptp.m1_toler_1 _let_1 A B)))))))) (forall ((A $$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) (D $$unsorted)) (=> (and (tptp.v1_toler_1 D A B) (tptp.m1_toler_1 D A B)) (=> (tptp.r2_hidden C D) (tptp.r1_tarski D (tptp.k6_eqrel_1 A B C))))))) (forall ((A $$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)) (=> (and (tptp.v1_relat_2 C) (tptp.v3_relat_2 C) (tptp.v1_partfun1 C A A) (tptp.m2_relset_1 C A A)) (= (tptp.r1_tarski (tptp.k3_toler_1 A B) (tptp.k3_toler_1 A C)) (tptp.r1_tarski 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)) (tptp.r1_tarski (tptp.k4_toler_1 A B) (tptp.k3_toler_1 A 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 $$unsorted)) (=> (and (tptp.v1_relat_2 C) (tptp.v3_relat_2 C) (tptp.v1_partfun1 C A A) (tptp.m2_relset_1 C A A)) (=> (forall ((D $$unsorted)) (=> (tptp.r2_hidden D A) (tptp.r1_tarski (tptp.k6_eqrel_1 A B D) (tptp.k6_eqrel_1 A C D)))) (tptp.r1_tarski 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)) (tptp.r1_tarski B (tptp.k7_relset_1 A A A A B B)))) (=> (and (forall ((A $$unsorted)) (=> (tptp.r2_hidden A tptp.f1_s1_toler_1) (tptp.p1_s1_toler_1 A A))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.r2_hidden A tptp.f1_s1_toler_1) (tptp.r2_hidden B tptp.f1_s1_toler_1) (tptp.p1_s1_toler_1 A B)) (tptp.p1_s1_toler_1 B A)))) (exists ((A $$unsorted)) (and (tptp.v1_relat_2 A) (tptp.v3_relat_2 A) (tptp.v1_partfun1 A tptp.f1_s1_toler_1 tptp.f1_s1_toler_1) (tptp.m2_relset_1 A tptp.f1_s1_toler_1 tptp.f1_s1_toler_1) (forall ((B $$unsorted) (C $$unsorted)) (=> (and (tptp.r2_hidden B tptp.f1_s1_toler_1) (tptp.r2_hidden C tptp.f1_s1_toler_1)) (= (tptp.r2_hidden (tptp.k4_tarski B C) A) (tptp.p1_s1_toler_1 B C))))))) true (forall ((A $$unsorted) (B $$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)) (exists ((C $$unsorted)) (tptp.m1_toler_1 C A B)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.v1_relat_1 A) (tptp.m2_relset_1 (tptp.k1_toler_1 A B) B B))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.v1_relat_1 A) (= (tptp.k1_toler_1 A B) (tptp.k2_wellord1 A B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k2_toler_1 A B C))) (=> (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 C (tptp.k1_zfmisc_1 A))) (and (tptp.v1_relat_2 _let_1) (tptp.v3_relat_2 _let_1) (tptp.v1_partfun1 _let_1 C C) (tptp.m2_relset_1 _let_1 C C))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_relat_2 B) (tptp.v3_relat_2 B) (tptp.v1_partfun1 B A A) (tptp.m1_relset_1 B A A) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 A))) (= (tptp.k2_toler_1 A B C) (tptp.k2_wellord1 B C)))) true true (forall ((A $$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_61) _let_61) (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))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k1_card_1 A))) (=> (not (tptp.v1_finset_1 A)) (and (tptp.v1_ordinal1 _let_1) (tptp.v2_ordinal1 _let_1) (tptp.v3_ordinal1 _let_1) (not (tptp.v1_xboole_0 _let_1)) (not (tptp.v1_finset_1 _let_1)) (tptp.v1_card_1 _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (not (tptp.v1_xboole_0 B)) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 A)))) (not (tptp.v1_xboole_0 (tptp.k7_setfam_1 A B))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_finset_1 A)) (exists ((B $$unsorted)) (and (tptp.m1_card_fil B A) (not (tptp.v1_xboole_0 B)) (not (tptp.v2_card_fil B A)) (tptp.v3_card_fil B A))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_finset_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_card_fil B A) (=> (and (tptp.v1_card_fil B A) (tptp.v3_card_fil B A)) (not (tptp.v2_card_fil B A))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.v1_card_1 A))) (let ((_let_2 (not (tptp.v1_finset_1 A)))) (=> (and _let_2 _let_1 (tptp.v4_card_fil A)) (and (tptp.v1_ordinal1 A) (tptp.v2_ordinal1 A) (tptp.v3_ordinal1 A) (not (tptp.v1_xboole_0 A)) _let_2 _let_1 (tptp.v2_card_1 A) (tptp.v1_card_5 A)))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.v1_card_1 A))) (let ((_let_2 (not (tptp.v1_finset_1 A)))) (=> (and _let_2 _let_1 (tptp.v5_card_fil A)) (and (tptp.v1_ordinal1 A) (tptp.v2_ordinal1 A) (tptp.v3_ordinal1 A) (not (tptp.v1_xboole_0 A)) _let_2 _let_1 (tptp.v2_card_1 A)))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.v1_card_1 A))) (let ((_let_2 (not (tptp.v1_finset_1 A)))) (=> (and _let_2 _let_1 (tptp.v6_card_fil A)) (and (tptp.v1_ordinal1 A) (tptp.v2_ordinal1 A) (tptp.v3_ordinal1 A) (not (tptp.v1_xboole_0 A)) _let_2 _let_1 (tptp.v2_card_1 A) (tptp.v1_card_5 A) (tptp.v5_card_fil A)))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.v1_card_1 A))) (let ((_let_2 (not (tptp.v1_finset_1 A)))) (=> (and _let_2 _let_1 (tptp.v6_card_fil A)) (and (tptp.v1_ordinal1 A) (tptp.v2_ordinal1 A) (tptp.v3_ordinal1 A) (not (tptp.v1_xboole_0 A)) _let_2 _let_1 (tptp.v2_card_1 A) (tptp.v1_card_5 A) (tptp.v4_card_fil A)))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k2_card_1 A))) (=> (and (not (tptp.v1_finset_1 A)) (tptp.v1_card_1 A)) (and (tptp.v1_ordinal1 _let_1) (tptp.v2_ordinal1 _let_1) (tptp.v3_ordinal1 _let_1) (not (tptp.v1_xboole_0 _let_1)) (not (tptp.v1_finset_1 _let_1)) (tptp.v1_card_1 _let_1) (not (tptp.v2_card_1 _let_1)))))) (exists ((A $$unsorted)) (and (tptp.v1_ordinal1 A) (tptp.v2_ordinal1 A) (tptp.v3_ordinal1 A) (not (tptp.v1_xboole_0 A)) (not (tptp.v1_finset_1 A)) (tptp.v1_card_1 A) (not (tptp.v2_card_1 A)))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.v1_card_1 A))) (let ((_let_2 (not (tptp.v1_finset_1 A)))) (=> (and _let_2 _let_1 (not (tptp.v2_card_1 A))) (and (tptp.v1_ordinal1 A) (tptp.v2_ordinal1 A) (tptp.v3_ordinal1 A) (not (tptp.v1_xboole_0 A)) _let_2 _let_1 (tptp.v1_card_5 A)))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k7_card_fil A))) (=> (and (not (tptp.v1_finset_1 A)) (tptp.v1_card_1 A) (not (tptp.v2_card_1 A))) (and (tptp.v1_ordinal1 _let_1) (tptp.v2_ordinal1 _let_1) (tptp.v3_ordinal1 _let_1) (not (tptp.v1_xboole_0 _let_1)) (not (tptp.v1_finset_1 _let_1)) (tptp.v1_card_1 _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (not (tptp.v1_finset_1 B)) (tptp.r2_hidden (tptp.k1_card_1 (tptp.k1_tarski A)) (tptp.k1_card_1 B)))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k1_tarski A))) (=> (not (tptp.v1_xboole_0 A)) (and (not (tptp.v1_xboole_0 _let_1)) (tptp.m1_subset_1 _let_1 (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 A))) (not (tptp.r2_hidden tptp.k1_xboole_0 _let_1)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k1_tarski A))) (let ((_let_2 (tptp.r2_hidden C _let_1))) (let ((_let_3 (tptp.r2_hidden B _let_1))) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 A)) (and (=> (and _let_3 _let_2) (tptp.r2_hidden (tptp.k5_subset_1 A B C) _let_1)) (=> (and _let_3 (tptp.r1_tarski B C)) _let_2))))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 A)))) (= (tptp.m1_card_fil B A) (and (not (tptp.r2_hidden tptp.k1_xboole_0 B)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 A)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.r2_hidden D B))) (let ((_let_2 (tptp.r2_hidden C B))) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 A)) (and (=> (and _let_2 _let_1) (tptp.r2_hidden (tptp.k5_subset_1 A C D) B)) (=> (and _let_2 (tptp.r1_tarski C D)) _let_1)))))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (= (tptp.m1_card_fil B A) (and (not (tptp.v1_xboole_0 B)) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 A))) (not (tptp.r2_hidden tptp.k1_xboole_0 B)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 A)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.r2_hidden D B))) (let ((_let_2 (tptp.r2_hidden C B))) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 A)) (and (=> (and _let_2 _let_1) (tptp.r2_hidden (tptp.k5_subset_1 A C D) B)) (=> (and _let_2 (tptp.r1_tarski C D)) _let_1))))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (tptp.m1_card_fil (tptp.k1_tarski A) A))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (tptp.m1_card_fil B A) (tptp.r2_hidden A B))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (forall ((C $$unsorted)) (=> (tptp.m1_card_fil C A) (not (and (tptp.r2_hidden B C) (tptp.r2_hidden (tptp.k1_card_fil A B) C))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (tptp.m1_card_fil B A) (forall ((C $$unsorted)) (=> (and (not (tptp.v1_xboole_0 C)) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 A)))) (=> (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 A)) (= (tptp.r2_hidden D C) (tptp.r2_hidden (tptp.k3_subset_1 A D) B)))) (and (not (tptp.r2_hidden A C)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 A)) (forall ((E $$unsorted)) (let ((_let_1 (tptp.r2_hidden E C))) (let ((_let_2 (tptp.r2_hidden D C))) (=> (tptp.m1_subset_1 E (tptp.k1_zfmisc_1 A)) (and (=> (and _let_2 _let_1) (tptp.r2_hidden (tptp.k4_subset_1 A D E) C)) (=> (and _let_2 (tptp.r1_tarski E D)) _let_1)))))))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 A)))) (= (tptp.m2_card_fil B A) (and (not (tptp.r2_hidden A B)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 A)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.r2_hidden D B))) (let ((_let_2 (tptp.r2_hidden C B))) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 A)) (and (=> (and _let_2 _let_1) (tptp.r2_hidden (tptp.k4_subset_1 A C D) B)) (=> (and _let_2 (tptp.r1_tarski D C)) _let_1)))))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (tptp.m1_card_fil B A) (forall ((C $$unsorted)) (=> (tptp.m2_card_fil C A) (and (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 A)) (not (and (tptp.r2_hidden D B) (tptp.r2_hidden D (tptp.k2_card_fil A B)))))) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 A)) (not (and (tptp.r2_hidden D C) (tptp.r2_hidden D (tptp.k7_setfam_1 A C))))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (tptp.m2_card_fil B A) (tptp.r2_hidden tptp.k1_xboole_0 B))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (tptp.v1_card_1 B) (forall ((C $$unsorted)) (=> (and (not (tptp.v1_xboole_0 C)) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 A)))) (= (tptp.r1_card_fil A B C) (forall ((D $$unsorted)) (=> (not (tptp.v1_xboole_0 D)) (=> (and (tptp.r1_tarski D C) (tptp.r2_hidden (tptp.k1_card_1 D) B)) (tptp.r2_hidden (tptp.k1_setfam_1 D) C))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (tptp.v1_card_1 B) (forall ((C $$unsorted)) (=> (and (not (tptp.v1_xboole_0 C)) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 A)))) (= (tptp.r2_card_fil A B C) (forall ((D $$unsorted)) (=> (not (tptp.v1_xboole_0 D)) (=> (and (tptp.r1_tarski D C) (tptp.r2_hidden (tptp.k1_card_1 D) B)) (tptp.r2_hidden (tptp.k3_tarski D) C))))))))))) (forall ((A $$unsorted)) (=> (tptp.v1_card_1 A) (forall ((B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (=> (and (not (tptp.v1_xboole_0 C)) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 B)))) (=> (tptp.r1_card_fil B A C) (tptp.r2_card_fil B A (tptp.k7_setfam_1 B C))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (tptp.m1_card_fil B A) (= (tptp.v1_card_fil B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 A)) (=> (tptp.r2_hidden C B) (= (tptp.k1_card_1 C) (tptp.k1_card_1 A)))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (tptp.m1_card_fil B A) (= (tptp.v2_card_fil B A) (exists ((C $$unsorted)) (and (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 A)) (tptp.r2_hidden C B) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 A)) (=> (tptp.r2_hidden D B) (tptp.r1_tarski C D))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (tptp.m1_card_fil B A) (= (tptp.v3_card_fil B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 A)) (or (tptp.r2_hidden C B) (tptp.r2_hidden (tptp.k1_card_fil A C) B))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (forall ((C $$unsorted)) (=> (tptp.m1_card_fil C A) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 A)) (= (tptp.r2_hidden D (tptp.k3_card_fil A C B)) (exists ((E $$unsorted)) (and (tptp.m1_subset_1 E (tptp.k1_zfmisc_1 A)) (tptp.r2_hidden E C) (tptp.r1_tarski (tptp.k5_subset_1 A E B) D)))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k3_card_fil A C B))) (=> (tptp.m1_card_fil C A) (=> (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 A)) (not (and (tptp.r2_hidden D C) (tptp.r1_xboole_0 D B))))) (and (tptp.r2_hidden B _let_1) (tptp.m1_card_fil _let_1 A) (tptp.r1_tarski C _let_1)))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (= (tptp.r2_hidden B (tptp.k4_card_fil A)) (tptp.m1_card_fil B A))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.k4_card_fil A)))) (=> (tptp.v6_ordinal1 B) (tptp.m1_card_fil (tptp.k3_tarski B) A)))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (tptp.m1_card_fil B A) (exists ((C $$unsorted)) (and (tptp.m1_card_fil C A) (tptp.r1_tarski B C) (tptp.v3_card_fil C A))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_finset_1 A)) (= (tptp.k6_card_fil A) (tptp.k2_card_fil A (tptp.k5_card_fil A))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_finset_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (= (tptp.r2_hidden B (tptp.k5_card_fil A)) (tptp.r2_hidden (tptp.k1_card_1 (tptp.k1_card_fil A B)) (tptp.k1_card_1 A))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_finset_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (= (tptp.r2_hidden B (tptp.k6_card_fil A)) (tptp.r2_hidden (tptp.k1_card_1 B) (tptp.k1_card_1 A))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_finset_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_card_fil B A) (=> (tptp.r1_tarski (tptp.k5_card_fil A) B) (tptp.v1_card_fil B A)))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_finset_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_card_fil B A) (=> (and (tptp.v1_card_fil B A) (tptp.v3_card_fil B A)) (tptp.r1_tarski (tptp.k5_card_fil A) B)))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_finset_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v3_card_fil B A) (tptp.m1_card_fil B A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 A)) (= (tptp.r2_hidden C B) (not (tptp.r2_hidden C (tptp.k2_card_fil A B)))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_finset_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_card_fil B A) (=> (and (tptp.v3_card_fil B A) (tptp.r1_card_fil A (tptp.k1_card_1 A) B)) (or (tptp.v2_card_fil B A) (tptp.v1_card_fil B A))))))) (forall ((A $$unsorted)) (=> (tptp.v1_card_1 A) (tptp.r1_tarski (tptp.k2_card_1 A) (tptp.k3_card_2 tptp.np__2 A)))) (= tptp.r3_card_fil (forall ((A $$unsorted)) (=> (and (not (tptp.v1_finset_1 A)) (tptp.v1_card_1 A)) (= (tptp.k2_card_1 A) (tptp.k3_card_2 tptp.np__2 A))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v1_finset_1 A)) (tptp.v1_card_1 A)) (= (tptp.v4_card_fil A) (and (tptp.v1_card_5 A) (tptp.v2_card_1 A))))) (tptp.v4_card_fil _let_60) (forall ((A $$unsorted)) (=> (and (not (tptp.v1_finset_1 A)) (tptp.v1_card_1 A)) (= (tptp.v5_card_fil A) (forall ((B $$unsorted)) (=> (tptp.v1_card_1 B) (=> (tptp.r2_hidden B A) (tptp.r2_hidden (tptp.k3_card_2 tptp.np__2 B) A))))))) (tptp.v5_card_fil _let_60) (forall ((A $$unsorted)) (=> (and (not (tptp.v1_finset_1 A)) (tptp.v1_card_1 A)) (=> (tptp.v5_card_fil A) (tptp.v2_card_1 A)))) (forall ((A $$unsorted)) (=> (and (not (tptp.v1_finset_1 A)) (tptp.v1_card_1 A)) (=> (and tptp.r3_card_fil (tptp.v2_card_1 A)) (tptp.v5_card_fil A)))) (forall ((A $$unsorted)) (=> (and (not (tptp.v1_finset_1 A)) (tptp.v1_card_1 A)) (= (tptp.v6_card_fil A) (and (tptp.v1_card_5 A) (tptp.v5_card_fil A))))) (tptp.v6_card_fil _let_60) (forall ((A $$unsorted)) (=> (and (not (tptp.v1_finset_1 A)) (tptp.v1_card_1 A)) (=> (tptp.v6_card_fil A) (tptp.v4_card_fil A)))) (forall ((A $$unsorted)) (=> (and (not (tptp.v1_finset_1 A)) (tptp.v1_card_1 A)) (=> (and tptp.r3_card_fil (tptp.v4_card_fil A)) (tptp.v6_card_fil A)))) (forall ((A $$unsorted)) (=> (and (not (tptp.v1_finset_1 A)) (tptp.v1_card_1 A)) (= (tptp.v7_card_fil A) (exists ((B $$unsorted)) (and (tptp.m1_card_fil B A) (tptp.r1_card_fil A A B) (not (tptp.v2_card_fil B A)) (tptp.v3_card_fil B A)))))) (forall ((A $$unsorted)) (=> (and (tptp.v3_ordinal1 A) (tptp.v4_ordinal1 A)) (forall ((B $$unsorted)) (=> (and (tptp.r1_tarski B A) (= (tptp.k7_ordinal2 B) A)) (= (tptp.k3_tarski B) A))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v1_finset_1 A)) (tptp.v1_card_1 A)) (=> (tptp.v7_card_fil A) (tptp.v1_card_5 A)))) (forall ((A $$unsorted)) (=> (and (tptp.v1_card_1 A) (not (tptp.v2_card_1 A))) (forall ((B $$unsorted)) (=> (tptp.v1_card_1 B) (= (= B (tptp.k7_card_fil A)) (= A (tptp.k2_card_1 B))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v1_finset_1 A)) (tptp.v1_card_1 A) (not (tptp.v2_card_1 A))) (exists ((B $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 A))) (let ((_let_2 (tptp.k2_zfmisc_1 (tptp.k7_card_fil A) A))) (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_2 _let_1) (tptp.m2_relset_1 B _let_2 _let_1) (tptp.r4_card_fil A B))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v1_finset_1 A)) (tptp.v1_card_1 A) (not (tptp.v2_card_1 A))) (forall ((B $$unsorted)) (=> (tptp.m2_card_fil B A) (not (and (tptp.r2_card_fil A A B) (tptp.r1_tarski (tptp.k6_card_fil A) B) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 A))) (not (and (= (tptp.k1_card_1 C) A) (forall ((D $$unsorted)) (not (and (tptp.r2_hidden D C) (tptp.r2_hidden D B)))) (forall ((D $$unsorted) (E $$unsorted)) (=> (and (tptp.r2_hidden D C) (tptp.r2_hidden E C)) (or (= D E) (tptp.r1_xboole_0 D E)))))))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.v1_card_1 B) (not (and (tptp.r1_tarski B (tptp.k1_card_1 A)) (forall ((C $$unsorted)) (not (and (tptp.r1_tarski C A) (= (tptp.k1_card_1 C) B)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v1_finset_1 A)) (tptp.v1_card_1 A) (not (tptp.v2_card_1 A))) (forall ((B $$unsorted)) (=> (tptp.m1_card_fil B A) (not (and (tptp.v1_card_fil B A) (tptp.v3_card_fil B A) (tptp.r1_card_fil A A B))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v1_finset_1 A)) (tptp.v1_card_1 A)) (=> (tptp.v7_card_fil A) (tptp.v2_card_1 A)))) (forall ((A $$unsorted)) (=> (and (not (tptp.v1_finset_1 A)) (tptp.v1_card_1 A)) (=> (tptp.v7_card_fil A) (tptp.v4_card_fil A)))) (forall ((A $$unsorted)) (=> (and (not (tptp.v1_finset_1 A)) (tptp.v1_card_1 A)) (=> (tptp.v7_card_fil A) (tptp.v5_card_fil A)))) (forall ((A $$unsorted)) (=> (and (not (tptp.v1_finset_1 A)) (tptp.v1_card_1 A)) (=> (tptp.v7_card_fil A) (tptp.v6_card_fil A)))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (tptp.m1_card_fil B A) (and (not (tptp.v1_xboole_0 B)) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 A)))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (exists ((B $$unsorted)) (tptp.m1_card_fil B A)))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (tptp.m2_card_fil B A) (and (not (tptp.v1_xboole_0 B)) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 A)))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (exists ((B $$unsorted)) (tptp.m2_card_fil B A)))) (forall ((A $$unsorted) (B $$unsorted)) (tptp.m1_subset_1 (tptp.k1_card_fil A B) (tptp.k1_zfmisc_1 A))) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.k1_card_fil A B) (tptp.k4_xboole_0 A B))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.m1_card_fil B A)) (tptp.m2_card_fil (tptp.k2_card_fil A B) A))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.m1_card_fil B A)) (= (tptp.k2_card_fil A (tptp.k2_card_fil A B)) B))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.m1_card_fil B A)) (= (tptp.k2_card_fil A B) (tptp.k7_setfam_1 A B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 A))) (let ((_let_2 (tptp.k3_card_fil A B C))) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.m1_card_fil B A) (tptp.m1_subset_1 C _let_1)) (and (not (tptp.v1_xboole_0 _let_2)) (tptp.m1_subset_1 _let_2 (tptp.k1_zfmisc_1 _let_1))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k4_card_fil A))) (=> (not (tptp.v1_xboole_0 A)) (and (not (tptp.v1_xboole_0 _let_1)) (tptp.m1_subset_1 _let_1 (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 A)))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_finset_1 A)) (tptp.m1_card_fil (tptp.k5_card_fil A) A))) (forall ((A $$unsorted)) (=> (not (tptp.v1_finset_1 A)) (tptp.m2_card_fil (tptp.k6_card_fil A) A))) (forall ((A $$unsorted)) (=> (and (tptp.v1_card_1 A) (not (tptp.v2_card_1 A))) (tptp.v1_card_1 (tptp.k7_card_fil A)))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 A)))) (= (tptp.k7_setfam_1 A B) (tptp.a_2_0_card_fil A B)))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 A)))) (= (tptp.k7_setfam_1 A B) (tptp.a_2_1_card_fil A B)))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (tptp.m1_card_fil B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 A)) (= (tptp.k3_card_fil A B C) (tptp.a_3_0_card_fil A B C)))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (= (tptp.k4_card_fil A) (tptp.a_1_0_card_fil A)))) (forall ((A $$unsorted)) (=> (not (tptp.v1_finset_1 A)) (= (tptp.k5_card_fil A) (tptp.a_1_1_card_fil A)))) (forall ((A $$unsorted)) (=> (and (not (tptp.v1_finset_1 A)) (tptp.v1_card_1 A) (not (tptp.v2_card_1 A))) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 A))) (let ((_let_2 (tptp.k2_zfmisc_1 (tptp.k7_card_fil A) A))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_2 _let_1) (tptp.m2_relset_1 B _let_2 _let_1)) (= (tptp.r4_card_fil A B) (and (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k7_card_fil A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D A) (forall ((E $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 A))) (let ((_let_2 (tptp.k7_card_fil A))) (=> (tptp.m1_subset_1 E A) (=> (not (= D E)) (tptp.v1_xboole_0 (tptp.k5_subset_1 A (tptp.k2_binop_1 _let_2 A _let_1 B C D) (tptp.k2_binop_1 _let_2 A _let_1 B C E)))))))))))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C A) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k7_card_fil A)) (forall ((E $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 A))) (let ((_let_2 (tptp.k7_card_fil A))) (=> (tptp.m1_subset_1 E _let_2) (=> (not (= D E)) (tptp.v1_xboole_0 (tptp.k5_subset_1 A (tptp.k2_binop_1 _let_2 A _let_1 B D C) (tptp.k2_binop_1 _let_2 A _let_1 B E C)))))))))))) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k7_card_fil A))) (=> (tptp.m1_subset_1 C _let_1) (tptp.r1_tarski (tptp.k1_card_1 (tptp.k1_card_fil A (tptp.k3_tarski (tptp.a_3_2_card_fil A B C)))) _let_1)))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C A) (tptp.r1_tarski (tptp.k1_card_1 (tptp.k1_card_fil A (tptp.k3_tarski (tptp.a_3_3_card_fil A B C)))) (tptp.k7_card_fil A)))))))))))) (=> (tptp.r2_hidden tptp.f2_s1_card_fil tptp.a_0_0_card_fil) (tptp.p1_s1_card_fil tptp.f2_s1_card_fil)) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (not (tptp.v1_xboole_0 C)) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 B)))) (= (tptp.r2_hidden A (tptp.a_2_0_card_fil B C)) (exists ((D $$unsorted)) (and (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 B)) (= A D) (tptp.r2_hidden (tptp.k3_subset_1 B D) C)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (not (tptp.v1_xboole_0 C)) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 B)))) (= (tptp.r2_hidden A (tptp.a_2_1_card_fil B C)) (exists ((D $$unsorted)) (and (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 B)) (= A (tptp.k3_subset_1 B D)) (tptp.r2_hidden D C)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.m1_card_fil C B) (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 B))) (= (tptp.r2_hidden A (tptp.a_3_0_card_fil B C D)) (exists ((E $$unsorted)) (and (tptp.m1_subset_1 E (tptp.k1_zfmisc_1 B)) (= A E) (exists ((F $$unsorted)) (and (tptp.m1_subset_1 F (tptp.k1_zfmisc_1 B)) (tptp.r2_hidden F (tptp.a_3_1_card_fil B C D)) (tptp.r1_tarski F E)))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.m1_card_fil C B) (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 B))) (= (tptp.r2_hidden A (tptp.a_3_1_card_fil B C D)) (exists ((E $$unsorted)) (and (tptp.m1_subset_1 E (tptp.k1_zfmisc_1 B)) (= A (tptp.k5_subset_1 B E D)) (tptp.r2_hidden E C)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (= (tptp.r2_hidden A (tptp.a_1_0_card_fil B)) (exists ((C $$unsorted)) (and (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 B))) (= A C) (tptp.m1_card_fil C B)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (not (tptp.v1_finset_1 B)) (= (tptp.r2_hidden A (tptp.a_1_1_card_fil B)) (exists ((C $$unsorted)) (and (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 B)) (= A C) (tptp.r2_hidden (tptp.k1_card_1 (tptp.k1_card_fil B C)) (tptp.k1_card_1 B))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k7_card_fil B))) (let ((_let_2 (tptp.k1_zfmisc_1 B))) (let ((_let_3 (tptp.k2_zfmisc_1 _let_1 B))) (=> (and (not (tptp.v1_finset_1 B)) (tptp.v1_card_1 B) (not (tptp.v2_card_1 B)) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_3 _let_2) (tptp.m2_relset_1 C _let_3 _let_2) (tptp.m1_subset_1 D _let_1)) (= (tptp.r2_hidden A (tptp.a_3_2_card_fil B C D)) (exists ((E $$unsorted)) (and (tptp.m1_subset_1 E B) (= A (tptp.k2_binop_1 (tptp.k7_card_fil B) B (tptp.k1_zfmisc_1 B) C D E)) (tptp.r2_hidden E B))))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 B))) (let ((_let_2 (tptp.k2_zfmisc_1 (tptp.k7_card_fil B) B))) (=> (and (not (tptp.v1_finset_1 B)) (tptp.v1_card_1 B) (not (tptp.v2_card_1 B)) (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_subset_1 D B)) (= (tptp.r2_hidden A (tptp.a_3_3_card_fil B C D)) (exists ((E $$unsorted)) (let ((_let_1 (tptp.k7_card_fil B))) (and (tptp.m1_subset_1 E _let_1) (= A (tptp.k2_binop_1 _let_1 B (tptp.k1_zfmisc_1 B) C E D)) (tptp.r2_hidden E _let_1))))))))) (forall ((A $$unsorted)) (= (tptp.r2_hidden A tptp.a_0_0_card_fil) (exists ((B $$unsorted)) (and (tptp.m1_subset_1 B tptp.f1_s1_card_fil) (= A B) (tptp.p1_s1_card_fil B))))) (exists ((A $$unsorted)) (and (not (tptp.v1_xboole_0 A)) (tptp.v1_finset_1 A) (tptp.v1_membered A) (tptp.v2_membered A) (tptp.v3_membered A) (tptp.v4_membered A) (tptp.v5_membered A))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k2_seq_4 A))) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v1_finset_1 A) (tptp.v5_membered A)) (and (tptp.v4_ordinal2 _let_1) (tptp.v1_xcmplx_0 _let_1) (tptp.v1_xreal_0 _let_1))))) (forall ((A $$unsorted)) (exists ((B $$unsorted)) (and (tptp.m1_pboole B A) (tptp.v1_relat_1 B) (tptp.v2_relat_1 B) (tptp.v1_funct_1 B) (tptp.v1_pre_circ B A)))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k7_relat_1 A B))) (=> (and (tptp.v1_relat_1 A) (tptp.v2_relat_1 A) (tptp.v1_funct_1 A)) (and (tptp.v1_relat_1 _let_1) (tptp.v2_relat_1 _let_1) (tptp.v1_funct_1 _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k5_relat_1 B A))) (=> (and (tptp.v1_relat_1 A) (tptp.v2_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (and (tptp.v1_relat_1 _let_1) (tptp.v2_relat_1 _let_1) (tptp.v1_funct_1 _let_1))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k5_trees_3 A)) (tptp.v1_finset_1 B))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k5_trees_2 A B))) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_finset_1 A) (tptp.v3_trees_2 A) (tptp.m1_subset_1 B (tptp.k1_relat_1 A))) (and (tptp.v1_relat_1 _let_1) (tptp.v1_funct_1 _let_1) (tptp.v1_finset_1 _let_1) (tptp.v3_trees_2 _let_1))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k8_trees_2 A B C))) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_finset_1 A) (tptp.v3_trees_2 A) (tptp.m1_subset_1 B (tptp.k1_relat_1 A)) (tptp.v1_relat_1 C) (tptp.v1_funct_1 C) (tptp.v1_finset_1 C) (tptp.v3_trees_2 C)) (and (tptp.v1_relat_1 _let_1) (tptp.v1_funct_1 _let_1) (tptp.v1_finset_1 _let_1) (tptp.v3_trees_2 _let_1))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k1_trees_4 A))) (and (tptp.v1_relat_1 _let_1) (tptp.v1_funct_1 _let_1) (tptp.v1_finset_1 _let_1) (tptp.v3_trees_2 _let_1)))) true (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted) (C $$unsorted)) (=> (and (= (tptp.k1_relat_1 A) (tptp.k1_tarski B)) (= (tptp.k2_relat_1 A) (tptp.k1_tarski C))) (= A (tptp.k1_tarski (tptp.k4_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)) (forall ((C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (=> (tptp.r1_tarski A B) (tptp.r1_tarski (tptp.k1_funct_4 A C) (tptp.k1_funct_4 B C))))))))) (forall ((A $$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)) (=> (and (tptp.r1_tarski A B) (tptp.r1_xboole_0 (tptp.k1_relat_1 A) (tptp.k1_relat_1 C))) (tptp.r1_tarski A (tptp.k1_funct_4 B C))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v1_finset_1 A) (tptp.v2_membered A)) (forall ((B $$unsorted)) (=> (tptp.v1_xreal_0 B) (= (= B (tptp.k1_pre_circ A)) (and (tptp.r2_hidden B A) (forall ((C $$unsorted)) (=> (tptp.v1_xreal_0 C) (=> (tptp.r2_hidden C A) (tptp.r1_xreal_0 C B)))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (= (tptp.k1_funct_1 (tptp.k6_pboole A B) (tptp.k6_finseq_1 A)) (tptp.k1_tarski tptp.k1_xboole_0)))) true (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (= (tptp.v1_pre_circ B A) (forall ((C $$unsorted)) (=> (tptp.r2_hidden C A) (tptp.v1_finset_1 (tptp.k1_funct_1 B C))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (and (tptp.v2_relat_1 B) (tptp.m1_pboole B A)) (not (tptp.v1_xboole_0 (tptp.k3_tarski (tptp.k2_relat_1 B)))))))) (forall ((A $$unsorted)) (= (tptp.k4_funct_5 (tptp.k2_pre_circ A tptp.k1_xboole_0)) tptp.k1_xboole_0)) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted) (C $$unsorted)) (=> (and (tptp.v2_relat_1 C) (tptp.m1_pboole C A)) (forall ((D $$unsorted)) (=> (tptp.m3_pboole D A (tptp.k2_pre_circ A B) C) (= (tptp.k1_relat_1 (tptp.k10_funct_6 D)) B))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v2_relat_1 B) (tptp.m1_pboole B A)) (forall ((C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k4_card_3 B))) (=> (tptp.m1_subset_1 D _let_1) (=> (and (tptp.r1_tarski (tptp.k1_relat_1 C) (tptp.k1_relat_1 B)) (forall ((E $$unsorted)) (=> (tptp.r2_hidden E (tptp.k1_relat_1 C)) (tptp.r2_hidden (tptp.k1_funct_1 C E) (tptp.k1_funct_1 B E))))) (tptp.m1_subset_1 (tptp.k1_funct_4 D C) _let_1))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (=> (and (tptp.v2_relat_1 C) (tptp.m1_pboole C A)) (forall ((D $$unsorted)) (=> (tptp.m3_pboole D A (tptp.k2_pre_circ A B) C) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E B) (exists ((F $$unsorted)) (and (tptp.m1_pboole F A) (= F (tptp.k1_funct_1 (tptp.k10_funct_6 D) E)) (tptp.r3_pboole A F C))))))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B 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)) (=> (tptp.r2_hidden C (tptp.k4_card_3 B)) (tptp.r2_hidden (tptp.k5_relat_1 D C) (tptp.k4_card_3 (tptp.k5_relat_1 D B)))))))))) (forall ((A $$unsorted)) (=> (tptp.m2_subset_1 A tptp.k1_numbers tptp.k5_numbers) (forall ((B $$unsorted)) (= (tptp.k4_card_3 (tptp.k2_finseq_2 A (tptp.k1_tarski B))) (tptp.k1_tarski (tptp.k2_finseq_2 A B)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v1_finset_1 A) (tptp.v1_trees_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.v1_finset_1 B) (tptp.v1_trees_1 B)) (forall ((C $$unsorted)) (=> (tptp.m1_trees_1 C A) (forall ((D $$unsorted)) (=> (tptp.m2_finseq_1 D tptp.k5_numbers) (not (and (tptp.r2_hidden D (tptp.k5_trees_1 A C B)) (tptp.r1_tarski C D) (forall ((E $$unsorted)) (=> (tptp.m1_trees_1 E B) (not (= D (tptp.k8_finseq_1 tptp.k5_numbers C E))))))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_finseq_1 A) (tptp.v4_trees_3 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k1_nat_1 B tptp.np__1))) (=> (tptp.m2_subset_1 B tptp.k1_numbers tptp.k5_numbers) (=> (tptp.r2_hidden _let_1 (tptp.k4_finseq_1 A)) (= (tptp.k4_trees_1 (tptp.k13_trees_3 A) (tptp.k12_finseq_1 tptp.k5_numbers B)) (tptp.k1_funct_1 A _let_1)))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_finseq_1 A) (tptp.v6_trees_3 A)) (forall ((B $$unsorted)) (=> (tptp.m2_subset_1 B tptp.k1_numbers tptp.k5_numbers) (=> (tptp.r2_hidden (tptp.k1_nat_1 B tptp.np__1) (tptp.k4_finseq_1 A)) (tptp.r2_hidden (tptp.k12_finseq_1 tptp.k5_numbers B) (tptp.k13_trees_3 (tptp.k2_funct_6 A)))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_finseq_1 A) (tptp.v4_trees_3 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (tptp.v1_finseq_1 B) (tptp.v4_trees_3 B)) (forall ((C $$unsorted)) (=> (tptp.m2_subset_1 C tptp.k1_numbers tptp.k5_numbers) (=> (and (= (tptp.k3_finseq_1 A) (tptp.k3_finseq_1 B)) (tptp.r2_hidden (tptp.k1_nat_1 C tptp.np__1) (tptp.k4_finseq_1 A)) (forall ((D $$unsorted)) (=> (tptp.m2_subset_1 D tptp.k1_numbers tptp.k5_numbers) (=> (tptp.r2_hidden D (tptp.k4_finseq_1 A)) (or (= D (tptp.k1_nat_1 C tptp.np__1)) (= (tptp.k1_funct_1 A D) (tptp.k1_funct_1 B D))))))) (forall ((D $$unsorted)) (=> (and (not (tptp.v1_xboole_0 D)) (tptp.v1_trees_1 D)) (=> (= (tptp.k1_funct_1 B (tptp.k1_nat_1 C tptp.np__1)) D) (= (tptp.k13_trees_3 B) (tptp.k5_trees_1 (tptp.k13_trees_3 A) (tptp.k12_finseq_1 tptp.k5_numbers C) D)))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_finset_1 A) (tptp.v3_trees_2 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (tptp.v1_finset_1 B) (tptp.v3_trees_2 B)) (forall ((C $$unsorted) (D $$unsorted)) (=> (tptp.m2_subset_1 D tptp.k1_numbers tptp.k5_numbers) (forall ((E $$unsorted)) (=> (and (tptp.v1_relat_1 E) (tptp.v1_funct_1 E) (tptp.v1_finseq_1 E) (tptp.v6_trees_3 E)) (not (and (tptp.r2_hidden (tptp.k12_finseq_1 tptp.k5_numbers D) (tptp.k1_relat_1 A)) (= A (tptp.k4_trees_4 C E)) (forall ((F $$unsorted)) (=> (and (tptp.v1_relat_1 F) (tptp.v1_funct_1 F) (tptp.v1_finseq_1 F) (tptp.v6_trees_3 F)) (not (and (= (tptp.k8_trees_2 A (tptp.k12_finseq_1 tptp.k5_numbers D) B) (tptp.k4_trees_4 C F)) (= (tptp.k3_finseq_1 F) (tptp.k3_finseq_1 E)) (= (tptp.k1_funct_1 F (tptp.k1_nat_1 D tptp.np__1)) B) (forall ((G $$unsorted)) (=> (tptp.m2_subset_1 G tptp.k1_numbers tptp.k5_numbers) (=> (tptp.r2_hidden G (tptp.k4_finseq_1 E)) (or (= G (tptp.k1_nat_1 D tptp.np__1)) (= (tptp.k1_funct_1 F G) (tptp.k1_funct_1 E G)))))))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v1_finset_1 A) (tptp.v1_trees_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_trees_1 B A) (not (and (not (= B tptp.k1_xboole_0)) (tptp.r1_xreal_0 (tptp.k4_card_1 A) (tptp.k4_card_1 (tptp.k4_trees_1 A B))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (= (tptp.k1_card_1 A) (tptp.k1_card_1 (tptp.k1_relat_1 A))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v1_finset_1 A) (tptp.v1_trees_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.v1_finset_1 B) (tptp.v1_trees_1 B)) (forall ((C $$unsorted)) (=> (tptp.m1_trees_1 C A) (= (tptp.k1_nat_1 (tptp.k4_card_1 (tptp.k5_trees_1 A C B)) (tptp.k4_card_1 (tptp.k4_trees_1 A C))) (tptp.k1_nat_1 (tptp.k4_card_1 A) (tptp.k4_card_1 B))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_finset_1 A) (tptp.v3_trees_2 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (tptp.v1_finset_1 B) (tptp.v3_trees_2 B)) (forall ((C $$unsorted)) (=> (tptp.m1_trees_1 C (tptp.k1_relat_1 A)) (= (tptp.k1_nat_1 (tptp.k4_card_1 (tptp.k8_trees_2 A C B)) (tptp.k4_card_1 (tptp.k5_trees_2 A C))) (tptp.k1_nat_1 (tptp.k4_card_1 A) (tptp.k4_card_1 B))))))))) (forall ((A $$unsorted)) (= (tptp.k4_card_1 (tptp.k1_trees_4 A)) tptp.np__1)) (exists ((A $$unsorted)) (and (tptp.m1_pboole A tptp.f1_s2_pre_circ) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k1_funct_1 A B))) (let ((_let_2 (tptp.p1_s2_pre_circ B))) (=> (tptp.m1_subset_1 B tptp.f1_s2_pre_circ) (=> (tptp.r2_hidden B tptp.f1_s2_pre_circ) (and (=> _let_2 (= _let_1 (tptp.f2_s2_pre_circ B))) (=> (not _let_2) (= _let_1 (tptp.f3_s2_pre_circ B))))))))))) (and (exists ((A $$unsorted)) (and (tptp.v1_funct_1 A) (tptp.v1_funct_2 A tptp.k5_numbers tptp.f1_s3_pre_circ) (tptp.m2_relset_1 A tptp.k5_numbers tptp.f1_s3_pre_circ) (= (tptp.k8_funct_2 tptp.k5_numbers tptp.f1_s3_pre_circ A tptp.np__0) tptp.f2_s3_pre_circ) (forall ((B $$unsorted)) (=> (tptp.m2_subset_1 B tptp.k1_numbers tptp.k5_numbers) (= (tptp.k8_funct_2 tptp.k5_numbers tptp.f1_s3_pre_circ A (tptp.k1_nat_1 B tptp.np__1)) (tptp.f3_s3_pre_circ B (tptp.k8_funct_2 tptp.k5_numbers tptp.f1_s3_pre_circ A B))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_funct_1 A) (tptp.v1_funct_2 A tptp.k5_numbers tptp.f1_s3_pre_circ) (tptp.m2_relset_1 A tptp.k5_numbers tptp.f1_s3_pre_circ)) (forall ((B $$unsorted)) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B tptp.k5_numbers tptp.f1_s3_pre_circ) (tptp.m2_relset_1 B tptp.k5_numbers tptp.f1_s3_pre_circ)) (=> (and (= (tptp.k8_funct_2 tptp.k5_numbers tptp.f1_s3_pre_circ A tptp.np__0) tptp.f2_s3_pre_circ) (forall ((C $$unsorted)) (=> (tptp.m2_subset_1 C tptp.k1_numbers tptp.k5_numbers) (= (tptp.k8_funct_2 tptp.k5_numbers tptp.f1_s3_pre_circ A (tptp.k1_nat_1 C tptp.np__1)) (tptp.f3_s3_pre_circ C (tptp.k8_funct_2 tptp.k5_numbers tptp.f1_s3_pre_circ A C))))) (= (tptp.k8_funct_2 tptp.k5_numbers tptp.f1_s3_pre_circ B tptp.np__0) tptp.f2_s3_pre_circ) (forall ((C $$unsorted)) (=> (tptp.m2_subset_1 C tptp.k1_numbers tptp.k5_numbers) (= (tptp.k8_funct_2 tptp.k5_numbers tptp.f1_s3_pre_circ B (tptp.k1_nat_1 C tptp.np__1)) (tptp.f3_s3_pre_circ C (tptp.k8_funct_2 tptp.k5_numbers tptp.f1_s3_pre_circ B C)))))) (= A B))))))) (=> (forall ((A $$unsorted)) (let ((_let_1 (tptp.k1_funct_1 tptp.f4_s4_pre_circ A))) (let ((_let_2 (tptp.k1_funct_1 tptp.f3_s4_pre_circ A))) (let ((_let_3 (tptp.f5_s4_pre_circ A))) (=> (tptp.m1_subset_1 A tptp.f1_s4_pre_circ) (=> (tptp.r2_hidden A tptp.f2_s4_pre_circ) (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)))))))) (exists ((A $$unsorted)) (and (tptp.m3_pboole A tptp.f2_s4_pre_circ tptp.f3_s4_pre_circ tptp.f4_s4_pre_circ) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.f1_s4_pre_circ) (=> (tptp.r2_hidden B tptp.f2_s4_pre_circ) (= (tptp.k1_funct_1 A B) (tptp.f5_s4_pre_circ B)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v1_finset_1 A) (tptp.v2_membered A)) (tptp.v1_xreal_0 (tptp.k1_pre_circ A)))) (forall ((A $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v1_finset_1 A) (tptp.v2_membered A)) (= (tptp.k1_pre_circ A) (tptp.k2_seq_4 A)))) (forall ((A $$unsorted) (B $$unsorted)) (tptp.m1_pboole (tptp.k2_pre_circ A B) A)) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.k2_pre_circ A B) (tptp.k2_funcop_1 A B))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.m1_pboole B A) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 A))) (tptp.m1_pboole (tptp.k3_pre_circ A B C) C))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.m1_pboole B A) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 A))) (= (tptp.k3_pre_circ A B C) (tptp.k7_relat_1 B C)))) (forall ((A $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v1_finset_1 A) (tptp.v1_trees_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_trees_1 B A) (tptp.r2_tarski (tptp.k4_trees_1 A B) (tptp.a_2_0_pre_circ A B)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v1_finset_1 A) (tptp.v1_trees_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.v1_finset_1 B) (tptp.v1_trees_1 B)) (forall ((C $$unsorted)) (=> (tptp.m1_trees_1 C A) (= (tptp.k5_trees_1 A C B) (tptp.k2_xboole_0 (tptp.a_2_1_pre_circ A C) (tptp.a_3_0_pre_circ A B C))))))))) (tptp.v1_finset_1 tptp.a_0_0_pre_circ) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.v1_finset_1 B) (tptp.v1_trees_1 B) (tptp.m1_trees_1 C B)) (= (tptp.r2_hidden A (tptp.a_2_0_pre_circ B C)) (exists ((D $$unsorted)) (and (tptp.m1_trees_1 D B) (= A D) (tptp.r1_tarski C D)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.v1_finset_1 B) (tptp.v1_trees_1 B) (tptp.m1_trees_1 C B)) (= (tptp.r2_hidden A (tptp.a_2_1_pre_circ B C)) (exists ((D $$unsorted)) (and (tptp.m1_trees_1 D B) (= A D) (not (tptp.r1_tarski C D))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.v1_finset_1 B) (tptp.v1_trees_1 B) (not (tptp.v1_xboole_0 C)) (tptp.v1_finset_1 C) (tptp.v1_trees_1 C) (tptp.m1_trees_1 D B)) (= (tptp.r2_hidden A (tptp.a_3_0_pre_circ B C D)) (exists ((E $$unsorted)) (and (tptp.m1_trees_1 E C) (= A (tptp.k8_finseq_1 tptp.k5_numbers D E))))))) (forall ((A $$unsorted)) (= (tptp.r2_hidden A tptp.a_0_0_pre_circ) (exists ((B $$unsorted)) (and (tptp.m1_subset_1 B tptp.f1_s1_pre_circ) (= A (tptp.f2_s1_pre_circ B)) (tptp.p1_s1_pre_circ B))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k1_mboolean A B))) (=> (tptp.m1_pboole B A) (and (tptp.v1_relat_1 _let_1) (tptp.v2_relat_1 _let_1) (tptp.v1_funct_1 _let_1))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k2_mboolean A (tptp.k1_pboole A)))) (and (tptp.v1_relat_1 _let_1) (tptp.v3_relat_1 _let_1) (tptp.v1_funct_1 _let_1)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m1_pboole C A) (= (= C (tptp.k1_mboolean A B)) (forall ((D $$unsorted)) (=> (tptp.r2_hidden D A) (= (tptp.k1_funct_1 C D) (tptp.k1_zfmisc_1 (tptp.k1_funct_1 B D)))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m1_pboole C A) (= (tptp.r6_pboole A B (tptp.k1_mboolean A C)) (forall ((D $$unsorted)) (=> (tptp.m1_pboole D A) (= (tptp.r1_pboole A D B) (tptp.r2_pboole A D C))))))))) (forall ((A $$unsorted)) (tptp.r6_pboole A (tptp.k1_mboolean A (tptp.k1_pboole A)) (tptp.k2_pre_circ A (tptp.k1_tarski tptp.k1_xboole_0)))) (forall ((A $$unsorted) (B $$unsorted)) (tptp.r6_pboole A (tptp.k1_mboolean A (tptp.k2_pre_circ A B)) (tptp.k2_pre_circ A (tptp.k1_zfmisc_1 B)))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k1_tarski B))) (tptp.r6_pboole A (tptp.k1_mboolean A (tptp.k2_pre_circ A _let_1)) (tptp.k2_pre_circ A (tptp.k2_tarski tptp.k1_xboole_0 _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (tptp.r2_pboole A (tptp.k1_pboole A) B))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m1_pboole C A) (=> (tptp.r2_pboole A B C) (tptp.r2_pboole A (tptp.k1_mboolean A B) (tptp.k1_mboolean A C))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m1_pboole C A) (tptp.r2_pboole A (tptp.k2_pboole A (tptp.k1_mboolean A B) (tptp.k1_mboolean A C)) (tptp.k1_mboolean A (tptp.k2_pboole A B C))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m1_pboole C A) (=> (tptp.r6_pboole A (tptp.k2_pboole A (tptp.k1_mboolean A B) (tptp.k1_mboolean A C)) (tptp.k1_mboolean A (tptp.k2_pboole A B C))) (forall ((D $$unsorted)) (=> (tptp.r2_hidden D A) (tptp.r3_xboole_0 (tptp.k1_funct_1 B D) (tptp.k1_funct_1 C D))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m1_pboole C A) (tptp.r6_pboole A (tptp.k1_mboolean A (tptp.k3_pboole A B C)) (tptp.k3_pboole A (tptp.k1_mboolean A B) (tptp.k1_mboolean A C))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m1_pboole C A) (tptp.r2_pboole A (tptp.k1_mboolean A (tptp.k4_pboole A B C)) (tptp.k2_pboole A (tptp.k2_pre_circ A (tptp.k1_tarski tptp.k1_xboole_0)) (tptp.k4_pboole A (tptp.k1_mboolean A B) (tptp.k1_mboolean A C)))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m1_pboole C A) (forall ((D $$unsorted)) (=> (tptp.m1_pboole D A) (= (tptp.r2_pboole A B (tptp.k4_pboole A C D)) (and (tptp.r2_pboole A B C) (tptp.r5_pboole A B D))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m1_pboole C A) (tptp.r2_pboole A (tptp.k2_pboole A (tptp.k1_mboolean A (tptp.k4_pboole A B C)) (tptp.k1_mboolean A (tptp.k4_pboole A C B))) (tptp.k1_mboolean A (tptp.k5_pboole A B C))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m1_pboole C A) (forall ((D $$unsorted)) (=> (tptp.m1_pboole D A) (= (tptp.r2_pboole A B (tptp.k5_pboole A C D)) (and (tptp.r2_pboole A B (tptp.k2_pboole A C D)) (tptp.r5_pboole A B (tptp.k3_pboole A C D)))))))))) true (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m1_pboole C A) (forall ((D $$unsorted)) (=> (tptp.m1_pboole D A) (=> (or (tptp.r2_pboole A B C) (tptp.r2_pboole A D C)) (tptp.r2_pboole A (tptp.k3_pboole A B D) C)))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m1_pboole C A) (forall ((D $$unsorted)) (=> (tptp.m1_pboole D A) (=> (tptp.r2_pboole A B C) (tptp.r2_pboole A (tptp.k4_pboole A B D) C)))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m1_pboole C A) (forall ((D $$unsorted)) (=> (tptp.m1_pboole D A) (=> (and (tptp.r2_pboole A B C) (tptp.r2_pboole A D C)) (tptp.r2_pboole A (tptp.k5_pboole A B D) C)))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m1_pboole C A) (tptp.r2_pboole A (tptp.k11_pboole A B C) (tptp.k1_mboolean A (tptp.k1_mboolean A (tptp.k2_pboole A B C)))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m1_pboole C A) (= (tptp.r2_pboole A B C) (tptp.r1_pboole A B (tptp.k1_mboolean A C))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m1_pboole C A) (tptp.r2_pboole A (tptp.k12_pboole A B C) (tptp.k1_mboolean A (tptp.k11_pboole A B C))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m1_pboole C A) (= (= C (tptp.k2_mboolean A B)) (forall ((D $$unsorted)) (=> (tptp.r2_hidden D A) (= (tptp.k1_funct_1 C D) (tptp.k3_tarski (tptp.k1_funct_1 B D)))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m1_pboole C A) (= (tptp.r1_pboole A B (tptp.k2_mboolean A C)) (exists ((D $$unsorted)) (and (tptp.m1_pboole D A) (tptp.r1_pboole A B D) (tptp.r1_pboole A D C)))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k1_pboole A))) (tptp.r6_pboole A (tptp.k2_mboolean A _let_1) _let_1))) (forall ((A $$unsorted) (B $$unsorted)) (tptp.r6_pboole A (tptp.k2_mboolean A (tptp.k2_pre_circ A B)) (tptp.k2_pre_circ A (tptp.k3_tarski B)))) (forall ((A $$unsorted) (B $$unsorted)) (tptp.r6_pboole A (tptp.k2_mboolean A (tptp.k2_pre_circ A (tptp.k1_tarski B))) (tptp.k2_pre_circ A B))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (tptp.r6_pboole A (tptp.k2_mboolean A (tptp.k2_pre_circ A (tptp.k2_tarski (tptp.k1_tarski B) (tptp.k1_tarski C)))) (tptp.k2_pre_circ A (tptp.k2_tarski B C)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m1_pboole C A) (=> (tptp.r1_pboole A B C) (tptp.r2_pboole A B (tptp.k2_mboolean A C))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m1_pboole C A) (=> (tptp.r2_pboole A B C) (tptp.r2_pboole A (tptp.k2_mboolean A B) (tptp.k2_mboolean A C))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m1_pboole C A) (tptp.r6_pboole A (tptp.k2_mboolean A (tptp.k2_pboole A B C)) (tptp.k2_pboole A (tptp.k2_mboolean A B) (tptp.k2_mboolean A C))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m1_pboole C A) (tptp.r2_pboole A (tptp.k2_mboolean A (tptp.k3_pboole A B C)) (tptp.k3_pboole A (tptp.k2_mboolean A B) (tptp.k2_mboolean A C))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (tptp.r6_pboole A (tptp.k2_mboolean A (tptp.k1_mboolean A B)) B))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (tptp.r2_pboole A B (tptp.k1_mboolean A (tptp.k2_mboolean A B))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m1_pboole C A) (forall ((D $$unsorted)) (=> (tptp.m1_pboole D A) (=> (and (tptp.r2_pboole A (tptp.k2_mboolean A B) C) (tptp.r1_pboole A D B)) (tptp.r2_pboole A D C)))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (and (tptp.v2_relat_1 C) (tptp.m1_pboole C A)) (=> (forall ((D $$unsorted)) (=> (tptp.m1_pboole D A) (=> (tptp.r1_pboole A D C) (tptp.r2_pboole A D B)))) (tptp.r2_pboole A (tptp.k2_mboolean A C) B)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (and (tptp.v2_relat_1 C) (tptp.m1_pboole C A)) (=> (forall ((D $$unsorted)) (=> (tptp.m1_pboole D A) (=> (tptp.r1_pboole A D C) (tptp.r6_pboole A (tptp.k3_pboole A D B) (tptp.k1_pboole A))))) (tptp.r6_pboole A (tptp.k3_pboole A (tptp.k2_mboolean A C) B) (tptp.k1_pboole A))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m1_pboole C A) (=> (and (tptp.v2_relat_1 (tptp.k2_pboole A B C)) (forall ((D $$unsorted)) (=> (tptp.m1_pboole D A) (forall ((E $$unsorted)) (let ((_let_1 (tptp.k2_pboole A B C))) (=> (tptp.m1_pboole E A) (=> (and (tptp.r1_pboole A D _let_1) (tptp.r1_pboole A E _let_1)) (or (= D E) (tptp.r6_pboole A (tptp.k3_pboole A D E) (tptp.k1_pboole A)))))))))) (tptp.r6_pboole A (tptp.k2_mboolean A (tptp.k3_pboole A B C)) (tptp.k3_pboole A (tptp.k2_mboolean A B) (tptp.k2_mboolean A C)))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m1_pboole C A) (forall ((D $$unsorted)) (=> (and (tptp.v2_relat_1 D) (tptp.m1_pboole D A)) (=> (and (tptp.r2_pboole A C (tptp.k2_mboolean A (tptp.k2_pboole A B D))) (forall ((E $$unsorted)) (=> (tptp.m1_pboole E A) (=> (tptp.r1_pboole A E D) (tptp.r6_pboole A (tptp.k3_pboole A E C) (tptp.k1_pboole A)))))) (tptp.r2_pboole A C (tptp.k2_mboolean A B))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v2_relat_1 B) (tptp.v1_pre_circ B A) (tptp.m1_pboole B A)) (=> (forall ((C $$unsorted)) (=> (tptp.m1_pboole C A) (forall ((D $$unsorted)) (=> (tptp.m1_pboole D A) (not (and (tptp.r1_pboole A C B) (tptp.r1_pboole A D B) (not (tptp.r2_pboole A C D)) (not (tptp.r2_pboole A D C)))))))) (tptp.r1_pboole A (tptp.k2_mboolean A B) B)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (tptp.m1_pboole (tptp.k1_mboolean A B) A))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (tptp.m1_pboole (tptp.k2_mboolean A B) A))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (=> (tptp.v3_relat_1 B) (tptp.v1_pre_circ B A)))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k1_pboole A))) (and (tptp.v1_relat_1 _let_1) (tptp.v3_relat_1 _let_1) (tptp.v1_funct_1 _let_1) (tptp.v1_pre_circ _let_1 A)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (exists ((C $$unsorted)) (and (tptp.m4_pboole C A B) (tptp.v1_relat_1 C) (tptp.v3_relat_1 C) (tptp.v1_funct_1 C) (tptp.v1_pre_circ C A))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_pre_circ B A) (tptp.m1_pboole B A)) (forall ((C $$unsorted)) (=> (tptp.m4_pboole C A B) (tptp.v1_pre_circ C A))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k2_pboole A B C))) (=> (and (tptp.v1_pre_circ B A) (tptp.m1_pboole B A) (tptp.v1_pre_circ C A) (tptp.m1_pboole C A)) (and (tptp.v1_relat_1 _let_1) (tptp.v1_funct_1 _let_1) (tptp.v1_pre_circ _let_1 A))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k3_pboole A B C))) (=> (and (tptp.m1_pboole B A) (tptp.v1_pre_circ C A) (tptp.m1_pboole C A)) (and (tptp.v1_relat_1 _let_1) (tptp.v1_funct_1 _let_1) (tptp.v1_pre_circ _let_1 A))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k3_pboole A C B))) (=> (and (tptp.m1_pboole B A) (tptp.v1_pre_circ C A) (tptp.m1_pboole C A)) (and (tptp.v1_relat_1 _let_1) (tptp.v1_funct_1 _let_1) (tptp.v1_pre_circ _let_1 A))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k4_pboole A C B))) (=> (and (tptp.m1_pboole B A) (tptp.v1_pre_circ C A) (tptp.m1_pboole C A)) (and (tptp.v1_relat_1 _let_1) (tptp.v1_funct_1 _let_1) (tptp.v1_pre_circ _let_1 A))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k14_pboole A C B))) (=> (and (tptp.v1_funcop_1 B) (tptp.m1_pboole B A) (tptp.v1_pre_circ C A) (tptp.m1_pboole C A)) (and (tptp.v1_relat_1 _let_1) (tptp.v1_funct_1 _let_1) (tptp.v1_pre_circ _let_1 A))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k11_pboole A B C))) (=> (and (tptp.v1_pre_circ B A) (tptp.m1_pboole B A) (tptp.v1_pre_circ C A) (tptp.m1_pboole C A)) (and (tptp.v1_relat_1 _let_1) (tptp.v1_funct_1 _let_1) (tptp.v1_pre_circ _let_1 A))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k1_mboolean A B))) (=> (and (tptp.v1_pre_circ B A) (tptp.m1_pboole B A)) (and (tptp.v1_relat_1 _let_1) (tptp.v2_relat_1 _let_1) (tptp.v1_funct_1 _let_1) (tptp.v1_pre_circ _let_1 A))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k12_pboole A B C))) (=> (and (tptp.v1_pre_circ B A) (tptp.m1_pboole B A) (tptp.v1_pre_circ C A) (tptp.m1_pboole C A)) (and (tptp.v1_relat_1 _let_1) (tptp.v1_funct_1 _let_1) (tptp.v1_pre_circ _let_1 A))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k5_pboole A B C))) (=> (and (tptp.v1_pre_circ B A) (tptp.m1_pboole B A) (tptp.v1_pre_circ C A) (tptp.m1_pboole C A)) (and (tptp.v1_relat_1 _let_1) (tptp.v1_funct_1 _let_1) (tptp.v1_pre_circ _let_1 A))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (exists ((C $$unsorted)) (and (tptp.m4_pboole C A (tptp.k1_mboolean A B)) (tptp.v1_relat_1 C) (tptp.v2_relat_1 C) (tptp.v1_funct_1 C))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (exists ((C $$unsorted)) (and (tptp.m4_pboole C A (tptp.k1_mboolean A B)) (tptp.v1_relat_1 C) (tptp.v3_relat_1 C) (tptp.v1_funct_1 C) (tptp.v1_pre_circ C A))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_pre_circ B A) (tptp.m1_pboole B A)) (exists ((C $$unsorted)) (and (tptp.m4_pboole C A (tptp.k1_mboolean A B)) (tptp.v1_relat_1 C) (tptp.v2_relat_1 C) (tptp.v1_funct_1 C) (tptp.v1_pre_circ C A))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (exists ((C $$unsorted)) (and (tptp.m4_pboole C A (tptp.k1_mboolean A B)) (tptp.v1_relat_1 C) (tptp.v2_relat_1 C) (tptp.v1_funct_1 C) (tptp.v1_mssubfam C A B) (tptp.v2_mssubfam C A B) (tptp.v3_mssubfam C A B) (tptp.v4_mssubfam C A B) (tptp.v5_mssubfam C A B) (tptp.v6_mssubfam C A B))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m4_pboole C A (tptp.k1_mboolean A B)) (=> (tptp.v2_mssubfam C A B) (tptp.v1_mssubfam C A B)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m4_pboole C A (tptp.k1_mboolean A B)) (=> (tptp.v4_mssubfam C A B) (tptp.v3_mssubfam C A B)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m4_pboole C A (tptp.k1_mboolean A B)) (=> (tptp.v4_mssubfam C A B) (tptp.v5_mssubfam C A B)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m4_pboole C A (tptp.k1_mboolean A B)) (=> (tptp.v5_mssubfam C A B) (tptp.v2_relat_1 C)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m4_pboole C A (tptp.k1_mboolean A B)) (=> (tptp.v2_mssubfam C A B) (tptp.v6_mssubfam C A B)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m4_pboole C A (tptp.k1_mboolean A B)) (=> (tptp.v6_mssubfam C A B) (tptp.v2_relat_1 C)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 A))) (=> (not (= B tptp.k1_xboole_0)) (tptp.r1_tarski (tptp.k8_setfam_1 A B) (tptp.k5_setfam_1 A B))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 A))) (=> (tptp.r2_hidden B C) (tptp.r1_tarski (tptp.k8_setfam_1 A C) B)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 A))) (=> (tptp.r2_hidden tptp.k1_xboole_0 B) (= (tptp.k8_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))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 A)) (=> (forall ((D $$unsorted)) (=> (tptp.r2_hidden D B) (tptp.r1_tarski C D))) (tptp.r1_tarski C (tptp.k8_setfam_1 A B))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 A))) (=> (forall ((D $$unsorted)) (=> (tptp.r2_hidden D C) (tptp.r1_tarski B D))) (or (= C tptp.k1_xboole_0) (tptp.r1_tarski B (tptp.k8_setfam_1 A C)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 A))) (=> (and (tptp.r2_hidden B D) (tptp.r1_tarski B C)) (tptp.r1_tarski (tptp.k8_setfam_1 A D) C)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 A))) (=> (and (tptp.r2_hidden B D) (tptp.r1_xboole_0 B C)) (tptp.r1_xboole_0 (tptp.k8_setfam_1 A D) C)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 A))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 A))) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 A))) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 _let_1)) (=> (= B (tptp.k4_subset_1 _let_1 C D)) (= (tptp.k8_setfam_1 A B) (tptp.k5_subset_1 A (tptp.k8_setfam_1 A C) (tptp.k8_setfam_1 A D))))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 A))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 A)) (=> (= B (tptp.k1_tarski C)) (= (tptp.k8_setfam_1 A B) C)))))) (forall ((A $$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 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 A)) (=> (= B (tptp.k2_tarski C D)) (= (tptp.k8_setfam_1 A B) (tptp.k5_subset_1 A C D))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m1_pboole C A) (=> (tptp.r1_pboole A B C) (tptp.m2_pboole B A C)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (and (tptp.v2_relat_1 C) (tptp.m1_pboole C A)) (=> (tptp.m2_pboole B A C) (tptp.r1_pboole A B C)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funcop_1 C) (tptp.m1_pboole C B)) (forall ((D $$unsorted)) (=> (and (tptp.v1_relat_1 D) (tptp.v1_funct_1 D)) (=> (and (tptp.r2_hidden A B) (= D (tptp.k1_funct_1 C A))) (= (tptp.k1_funct_1 (tptp.k2_mssubfam B C) A) (tptp.k2_relat_1 D))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funcop_1 C) (tptp.m1_pboole C B)) (forall ((D $$unsorted)) (=> (and (tptp.v1_relat_1 D) (tptp.v1_funct_1 D)) (=> (and (tptp.r2_hidden A B) (= D (tptp.k1_funct_1 C A))) (= (tptp.k1_funct_1 (tptp.k1_mssubfam B C) A) (tptp.k1_relat_1 D))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_funcop_1 B) (tptp.m1_pboole B A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k13_pboole B C))) (=> (and (tptp.v1_funcop_1 C) (tptp.m1_pboole C A)) (and (tptp.v1_funcop_1 _let_1) (tptp.m1_pboole _let_1 A))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v2_relat_1 B) (tptp.m1_pboole B A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k1_pboole A))) (=> (tptp.m3_pboole C A B _let_1) (tptp.r6_pboole A C _let_1)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m1_pboole C A) (forall ((D $$unsorted)) (=> (and (tptp.v1_funcop_1 D) (tptp.m1_pboole D A)) (=> (and (tptp.r1_pzfmisc1 A B C) (tptp.m3_pboole D A B C)) (and (tptp.r6_pboole A (tptp.k1_mssubfam A D) B) (tptp.r2_pboole A (tptp.k2_mssubfam A D) C))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m1_pboole C A) (=> (and (tptp.r2_pboole A B C) (tptp.v1_pre_circ C A)) (tptp.v1_pre_circ B A)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m1_pboole C A) (=> (and (tptp.v2_relat_1 B) (tptp.v1_pre_circ (tptp.k11_pboole A C B) A)) (tptp.v1_pre_circ C A)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m1_pboole C A) (=> (and (tptp.v2_relat_1 B) (tptp.v1_pre_circ (tptp.k11_pboole A B C) A)) (tptp.v1_pre_circ C A)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (= (tptp.v1_pre_circ B A) (tptp.v1_pre_circ (tptp.k1_mboolean A B) A)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v2_relat_1 B) (tptp.m1_pboole B A)) (=> (and (tptp.v1_pre_circ B A) (forall ((C $$unsorted)) (=> (tptp.m1_pboole C A) (=> (tptp.r1_pboole A C B) (tptp.v1_pre_circ C A))))) (tptp.v1_pre_circ (tptp.k2_mboolean A B) A)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (=> (tptp.v1_pre_circ (tptp.k2_mboolean A B) A) (and (tptp.v1_pre_circ B A) (forall ((C $$unsorted)) (=> (tptp.m1_pboole C A) (=> (tptp.r1_pboole A C B) (tptp.v1_pre_circ C A)))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_funcop_1 B) (tptp.m1_pboole B A)) (=> (tptp.v1_pre_circ (tptp.k1_mssubfam A B) A) (tptp.v1_pre_circ (tptp.k2_mssubfam A B) A)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (and (tptp.v1_funcop_1 C) (tptp.m1_pboole C A)) (=> (and (tptp.r2_pboole A B (tptp.k2_mssubfam A C)) (forall ((D $$unsorted) (E $$unsorted)) (=> (and (tptp.v1_relat_1 E) (tptp.v1_funct_1 E)) (=> (and (tptp.r2_hidden D A) (= E (tptp.k1_funct_1 C D))) (tptp.v1_finset_1 (tptp.k10_relat_1 E (tptp.k1_funct_1 B D))))))) (tptp.v1_pre_circ B A)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m1_pboole C A) (forall ((D $$unsorted)) (=> (tptp.m1_pboole D A) (not (and (tptp.v1_pre_circ B A) (tptp.r2_pboole A B (tptp.k11_pboole A C D)) (forall ((E $$unsorted)) (=> (tptp.m1_pboole E A) (forall ((F $$unsorted)) (=> (tptp.m1_pboole F A) (not (and (tptp.v1_pre_circ E A) (tptp.r2_pboole A E C) (tptp.v1_pre_circ F A) (tptp.r2_pboole A F D) (tptp.r2_pboole A B (tptp.k11_pboole A E F)))))))))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m1_pboole C A) (forall ((D $$unsorted)) (=> (tptp.m1_pboole D A) (not (and (tptp.v1_pre_circ B A) (tptp.v1_pre_circ C A) (tptp.r2_pboole A B (tptp.k11_pboole A D C)) (forall ((E $$unsorted)) (=> (tptp.m1_pboole E A) (not (and (tptp.v1_pre_circ E A) (tptp.r2_pboole A E D) (tptp.r2_pboole A B (tptp.k11_pboole A E C)))))))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v2_relat_1 B) (tptp.v1_pre_circ B A) (tptp.m1_pboole B A)) (not (and (forall ((C $$unsorted)) (=> (tptp.m1_pboole C A) (forall ((D $$unsorted)) (=> (tptp.m1_pboole D A) (not (and (tptp.r1_pboole A C B) (tptp.r1_pboole A D B) (not (tptp.r2_pboole A C D)) (not (tptp.r2_pboole A D C)))))))) (forall ((C $$unsorted)) (=> (tptp.m1_pboole C A) (not (and (tptp.r1_pboole A C B) (forall ((D $$unsorted)) (=> (tptp.m1_pboole D A) (=> (tptp.r1_pboole A D B) (tptp.r2_pboole A C D)))))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v2_relat_1 B) (tptp.v1_pre_circ B A) (tptp.m1_pboole B A)) (not (and (forall ((C $$unsorted)) (=> (tptp.m1_pboole C A) (forall ((D $$unsorted)) (=> (tptp.m1_pboole D A) (not (and (tptp.r1_pboole A C B) (tptp.r1_pboole A D B) (not (tptp.r2_pboole A C D)) (not (tptp.r2_pboole A D C)))))))) (forall ((C $$unsorted)) (=> (tptp.m1_pboole C A) (not (and (tptp.r1_pboole A C B) (forall ((D $$unsorted)) (=> (tptp.m1_pboole D A) (=> (tptp.r1_pboole A D B) (tptp.r2_pboole A D C)))))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_funcop_1 B) (tptp.m1_pboole B A)) (forall ((C $$unsorted)) (=> (tptp.m1_pboole C A) (not (and (tptp.v1_pre_circ C A) (tptp.r2_pboole A C (tptp.k2_mssubfam A B)) (forall ((D $$unsorted)) (=> (tptp.m1_pboole D A) (not (and (tptp.r2_pboole A D (tptp.k1_mssubfam A B)) (tptp.v1_pre_circ D A) (tptp.r6_pboole A (tptp.k14_pboole A D B) C))))))))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k1_pboole A))) (=> (tptp.m1_pboole B A) (and (tptp.v3_relat_1 _let_1) (tptp.v1_pre_circ _let_1 A) (tptp.m4_pboole _let_1 A (tptp.k1_mboolean A B)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.m1_pboole C B) (forall ((D $$unsorted)) (=> (tptp.m4_pboole D B (tptp.k1_mboolean B C)) (=> (tptp.r2_hidden A B) (tptp.m1_subset_1 (tptp.k1_funct_1 D A) (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 (tptp.k1_funct_1 C A))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m1_pboole C A) (forall ((D $$unsorted)) (=> (tptp.m4_pboole D A (tptp.k1_mboolean A C)) (=> (tptp.r1_pboole A B D) (tptp.m4_pboole B A C)))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m4_pboole C A (tptp.k1_mboolean A B)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k1_mboolean A B))) (=> (tptp.m4_pboole D A _let_1) (tptp.m4_pboole (tptp.k2_pboole A C D) A _let_1)))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m4_pboole C A (tptp.k1_mboolean A B)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k1_mboolean A B))) (=> (tptp.m4_pboole D A _let_1) (tptp.m4_pboole (tptp.k3_pboole A C D) A _let_1)))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m1_pboole C A) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k1_mboolean A C))) (=> (tptp.m4_pboole D A _let_1) (tptp.m4_pboole (tptp.k4_pboole A D B) A _let_1)))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m4_pboole C A (tptp.k1_mboolean A B)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k1_mboolean A B))) (=> (tptp.m4_pboole D A _let_1) (tptp.m4_pboole (tptp.k5_pboole A C D) A _let_1)))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m1_pboole C A) (=> (tptp.r2_pboole A B C) (tptp.m4_pboole (tptp.k1_pzfmisc1 A B) A (tptp.k1_mboolean A C))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m1_pboole C A) (forall ((D $$unsorted)) (=> (tptp.m1_pboole D A) (=> (and (tptp.r2_pboole A B C) (tptp.r2_pboole A D C)) (tptp.m4_pboole (tptp.k2_pzfmisc1 A B D) A (tptp.k1_mboolean A C))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m4_pboole C A (tptp.k1_mboolean A B)) (tptp.r2_pboole A (tptp.k2_mboolean A C) B))))) true (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m4_pboole C A (tptp.k1_mboolean A B)) (forall ((D $$unsorted)) (=> (tptp.m1_pboole D A) (= (= D (tptp.k5_mssubfam A B C)) (forall ((E $$unsorted)) (not (and (tptp.r2_hidden E A) (forall ((F $$unsorted)) (let ((_let_1 (tptp.k1_funct_1 B E))) (=> (tptp.m1_subset_1 F (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 _let_1))) (not (and (= F (tptp.k1_funct_1 C E)) (= (tptp.k1_funct_1 D E) (tptp.k8_setfam_1 _let_1 F))))))))))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m4_pboole C A (tptp.k1_mboolean A B)) (=> (tptp.r6_pboole A C (tptp.k1_pboole A)) (tptp.r6_pboole A (tptp.k6_mssubfam A B C) B)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (and (tptp.v2_relat_1 C) (tptp.m4_pboole C A (tptp.k1_mboolean A B))) (tptp.r2_pboole A (tptp.k6_mssubfam A B C) (tptp.k2_mboolean A C)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m1_pboole C A) (forall ((D $$unsorted)) (=> (tptp.m4_pboole D A (tptp.k1_mboolean A B)) (=> (tptp.r1_pboole A C D) (tptp.r2_pboole A (tptp.k6_mssubfam A B D) C)))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k1_pboole A))) (=> (tptp.m4_pboole C A (tptp.k1_mboolean A B)) (=> (tptp.r1_pboole A _let_1 C) (tptp.r6_pboole A (tptp.k6_mssubfam A B C) _let_1))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m1_pboole C A) (forall ((D $$unsorted)) (=> (and (tptp.v2_relat_1 D) (tptp.m4_pboole D A (tptp.k1_mboolean A C))) (=> (forall ((E $$unsorted)) (=> (tptp.m1_pboole E A) (=> (tptp.r1_pboole A E D) (tptp.r2_pboole A B E)))) (tptp.r2_pboole A B (tptp.k6_mssubfam A C D))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m4_pboole C A (tptp.k1_mboolean A B)) (forall ((D $$unsorted)) (=> (tptp.m4_pboole D A (tptp.k1_mboolean A B)) (=> (tptp.r2_pboole A C D) (tptp.r2_pboole A (tptp.k6_mssubfam A B D) (tptp.k6_mssubfam A B C))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m1_pboole C A) (forall ((D $$unsorted)) (=> (tptp.m1_pboole D A) (forall ((E $$unsorted)) (=> (tptp.m4_pboole E A (tptp.k1_mboolean A B)) (=> (and (tptp.r1_pboole A C E) (tptp.r2_pboole A C D)) (tptp.r2_pboole A (tptp.k6_mssubfam A B E) D)))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m1_pboole C A) (forall ((D $$unsorted)) (=> (tptp.m1_pboole D A) (forall ((E $$unsorted)) (let ((_let_1 (tptp.k1_pboole A))) (=> (tptp.m4_pboole E A (tptp.k1_mboolean A B)) (=> (and (tptp.r1_pboole A C E) (tptp.r6_pboole A (tptp.k3_pboole A C D) _let_1)) (tptp.r6_pboole A (tptp.k3_pboole A (tptp.k6_mssubfam A B E) D) _let_1))))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m4_pboole C A (tptp.k1_mboolean A B)) (forall ((D $$unsorted)) (=> (tptp.m4_pboole D A (tptp.k1_mboolean A B)) (forall ((E $$unsorted)) (=> (tptp.m4_pboole E A (tptp.k1_mboolean A B)) (=> (tptp.r6_pboole A C (tptp.k2_pboole A D E)) (tptp.r6_pboole A (tptp.k6_mssubfam A B C) (tptp.k3_pboole A (tptp.k6_mssubfam A B D) (tptp.k6_mssubfam A B E)))))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m4_pboole C A (tptp.k1_mboolean A B)) (forall ((D $$unsorted)) (=> (tptp.m4_pboole D A B) (=> (tptp.r6_pboole A C (tptp.k1_pzfmisc1 A D)) (tptp.r6_pboole A (tptp.k6_mssubfam A B C) D)))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m4_pboole C A (tptp.k1_mboolean A B)) (forall ((D $$unsorted)) (=> (tptp.m4_pboole D A B) (forall ((E $$unsorted)) (=> (tptp.m4_pboole E A B) (=> (tptp.r6_pboole A C (tptp.k2_pzfmisc1 A D E)) (tptp.r6_pboole A (tptp.k6_mssubfam A B C) (tptp.k3_pboole A D E))))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m1_pboole C A) (forall ((D $$unsorted)) (=> (tptp.m4_pboole D A (tptp.k1_mboolean A B)) (=> (tptp.r1_pboole A C (tptp.k6_mssubfam A B D)) (forall ((E $$unsorted)) (=> (tptp.m1_pboole E A) (=> (tptp.r1_pboole A E D) (tptp.r1_pboole A C E))))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m1_pboole C A) (forall ((D $$unsorted)) (=> (and (tptp.v2_relat_1 D) (tptp.m4_pboole D A (tptp.k1_mboolean A C))) (=> (and (tptp.r1_pboole A B C) (forall ((E $$unsorted)) (=> (tptp.m1_pboole E A) (=> (tptp.r1_pboole A E D) (tptp.r1_pboole A B E))))) (tptp.r1_pboole A B (tptp.k6_mssubfam A C D))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m4_pboole C A (tptp.k1_mboolean A B)) (= (tptp.v1_mssubfam C A B) (forall ((D $$unsorted)) (=> (tptp.m1_pboole D A) (forall ((E $$unsorted)) (=> (tptp.m1_pboole E A) (=> (and (tptp.r1_pboole A D C) (tptp.r1_pboole A E C)) (tptp.r1_pboole A (tptp.k2_pboole A D E) C))))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m4_pboole C A (tptp.k1_mboolean A B)) (= (tptp.v2_mssubfam C A B) (forall ((D $$unsorted)) (=> (tptp.m4_pboole D A (tptp.k1_mboolean A B)) (=> (tptp.r2_pboole A D C) (tptp.r1_pboole A (tptp.k2_mboolean A D) C))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m4_pboole C A (tptp.k1_mboolean A B)) (= (tptp.v3_mssubfam C A B) (forall ((D $$unsorted)) (=> (tptp.m1_pboole D A) (forall ((E $$unsorted)) (=> (tptp.m1_pboole E A) (=> (and (tptp.r1_pboole A D C) (tptp.r1_pboole A E C)) (tptp.r1_pboole A (tptp.k3_pboole A D E) C))))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m4_pboole C A (tptp.k1_mboolean A B)) (= (tptp.v4_mssubfam C A B) (forall ((D $$unsorted)) (=> (tptp.m4_pboole D A (tptp.k1_mboolean A B)) (=> (tptp.r2_pboole A D C) (tptp.r1_pboole A (tptp.k6_mssubfam A B D) C))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m4_pboole C A (tptp.k1_mboolean A B)) (= (tptp.v5_mssubfam C A B) (tptp.r1_pboole A B C)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m4_pboole C A (tptp.k1_mboolean A B)) (= (tptp.v6_mssubfam C A B) (tptp.r1_pboole A (tptp.k1_pboole A) C)))))) (=> (forall ((A $$unsorted)) (=> (tptp.r2_hidden A tptp.f1_s1_mssubfam) (forall ((B $$unsorted)) (not (and (tptp.r2_hidden B (tptp.k1_funct_1 tptp.f2_s1_mssubfam A)) (forall ((C $$unsorted)) (not (and (tptp.r2_hidden C (tptp.k1_funct_1 tptp.f3_s1_mssubfam A)) (tptp.p1_s1_mssubfam C B A))))))))) (exists ((A $$unsorted)) (and (tptp.m3_pboole A tptp.f1_s1_mssubfam tptp.f2_s1_mssubfam tptp.f3_s1_mssubfam) (forall ((B $$unsorted)) (not (and (tptp.r2_hidden B tptp.f1_s1_mssubfam) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k1_funct_1 tptp.f3_s1_mssubfam B))) (let ((_let_2 (tptp.k1_funct_1 tptp.f2_s1_mssubfam 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)) (not (and (= C (tptp.k1_funct_1 A B)) (forall ((D $$unsorted)) (=> (tptp.r2_hidden D (tptp.k1_funct_1 tptp.f2_s1_mssubfam B)) (tptp.p1_s1_mssubfam (tptp.k1_funct_1 C D) D B))))))))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_funcop_1 B) (tptp.m1_pboole B A)) (tptp.m1_pboole (tptp.k1_mssubfam A B) A))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_funcop_1 B) (tptp.m1_pboole B A)) (= (tptp.k1_mssubfam A B) (tptp.k2_funct_6 B)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_funcop_1 B) (tptp.m1_pboole B A)) (tptp.m1_pboole (tptp.k2_mssubfam A B) A))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_funcop_1 B) (tptp.m1_pboole B A)) (= (tptp.k2_mssubfam A B) (tptp.k3_funct_6 B)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (tptp.m4_pboole (tptp.k3_mssubfam A B) A (tptp.k1_mboolean A B)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (= (tptp.k3_mssubfam A B) (tptp.k1_mboolean A B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.m1_pboole B A) (tptp.m4_pboole C A (tptp.k1_mboolean A B)) (tptp.m1_subset_1 D A)) (tptp.m1_subset_1 (tptp.k4_mssubfam A B C D) (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 (tptp.k1_funct_1 B D)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.m1_pboole B A) (tptp.m4_pboole C A (tptp.k1_mboolean A B)) (tptp.m1_subset_1 D A)) (= (tptp.k4_mssubfam A B C D) (tptp.k1_funct_1 C D)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.m1_pboole B A) (tptp.m4_pboole C A (tptp.k1_mboolean A B))) (tptp.m1_pboole (tptp.k5_mssubfam A B C) A))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.m1_pboole B A) (tptp.m4_pboole C A (tptp.k1_mboolean A B))) (tptp.m4_pboole (tptp.k6_mssubfam A B C) A B))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.m1_pboole B A) (tptp.m4_pboole C A (tptp.k1_mboolean A B))) (= (tptp.k6_mssubfam A B C) (tptp.k5_mssubfam A B C)))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k7_mssubfam A B))) (=> (tptp.m1_pboole B A) (and (tptp.v1_mssubfam _let_1 A B) (tptp.v2_mssubfam _let_1 A B) (tptp.v3_mssubfam _let_1 A B) (tptp.v4_mssubfam _let_1 A B) (tptp.v5_mssubfam _let_1 A B) (tptp.v6_mssubfam _let_1 A B) (tptp.m4_pboole _let_1 A (tptp.k1_mboolean A B)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (= (tptp.k7_mssubfam A B) (tptp.k1_mboolean A B)))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k3_cqc_lang A B))) (and (not (tptp.v1_xboole_0 _let_1)) (tptp.v1_relat_1 _let_1) (tptp.v1_funct_1 _let_1)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k4_funct_4 A B C D))) (and (not (tptp.v1_xboole_0 _let_1)) (tptp.v1_relat_1 _let_1) (tptp.v1_funct_1 _let_1)))) (exists ((A $$unsorted)) (and (not (tptp.v1_xboole_0 A)) (tptp.v1_relat_1 A) (tptp.v2_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_finset_1 A) (tptp.v1_finseq_1 A) (tptp.v1_funcop_1 A))) (and _let_59 _let_58 _let_57 _let_56 _let_55 _let_54 _let_53 (tptp.v1_funcop_1 tptp.k1_xboole_0)) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k5_finseq_1 A))) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_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) (tptp.v1_funcop_1 _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k10_finseq_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) (tptp.v1_finset_1 _let_1) (tptp.v1_finseq_1 _let_1) (tptp.v1_funcop_1 _let_1))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k11_finseq_1 A B C))) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (and (tptp.v1_relat_1 _let_1) (tptp.v1_funct_1 _let_1) (tptp.v1_finset_1 _let_1) (tptp.v1_finseq_1 _let_1) (tptp.v1_funcop_1 _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k2_finseq_2 A B))) (=> (and (tptp.m1_subset_1 A tptp.k5_numbers) (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (and (tptp.v1_relat_1 _let_1) (tptp.v1_funct_1 _let_1) (tptp.v1_finset_1 _let_1) (tptp.v1_finseq_1 _let_1) (tptp.v1_funcop_1 _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k7_finseq_1 A B))) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_finseq_1 A) (tptp.v1_funcop_1 A) (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (tptp.v1_finseq_1 B) (tptp.v1_funcop_1 B)) (and (tptp.v1_relat_1 _let_1) (tptp.v1_funct_1 _let_1) (tptp.v1_finset_1 _let_1) (tptp.v1_finseq_1 _let_1) (tptp.v1_funcop_1 _let_1))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k2_funct_7 A B C))) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_finseq_1 A) (tptp.m1_subset_1 B tptp.k5_numbers)) (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 $$unsorted)) (let ((_let_1 (tptp.v1_finseq_1 A))) (let ((_let_2 (tptp.v1_funct_1 A))) (let ((_let_3 (tptp.v1_relat_1 A))) (=> (and _let_3 _let_2 _let_1 (tptp.v1_funct_7 A)) (and _let_3 _let_2 (tptp.v1_finset_1 A) _let_1 (tptp.v1_funcop_1 A))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.v1_finseq_1 A))) (let ((_let_2 (tptp.v1_funct_1 A))) (let ((_let_3 (tptp.v1_relat_1 A))) (=> (and (tptp.v1_xboole_0 A) _let_3 _let_2 _let_1) (and _let_3 _let_2 (tptp.v1_finset_1 A) _let_1 (tptp.v1_funcop_1 A) (tptp.v1_funct_7 A))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k5_finseq_1 A))) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (and (not (tptp.v1_xboole_0 _let_1)) (tptp.v1_relat_1 _let_1) (tptp.v1_funct_1 _let_1) (tptp.v1_finset_1 _let_1) (tptp.v1_finseq_1 _let_1) (tptp.v1_funcop_1 _let_1) (tptp.v1_funct_7 _let_1))))) (exists ((A $$unsorted)) (and (not (tptp.v1_xboole_0 A)) (tptp.v1_relat_1 A) (tptp.v2_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_finset_1 A) (tptp.v1_finseq_1 A) (tptp.v1_funcop_1 A) (tptp.v1_funct_7 A))) (forall ((A $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v1_relat_1 A) (tptp.v2_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_finseq_1 A)) (forall ((B $$unsorted)) (=> (tptp.m2_funct_7 B A) (and (tptp.v2_relat_1 B) (tptp.v1_funct_7 B)))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted)) (=> (tptp.r1_tarski (tptp.k2_relat_1 A) B) (= (tptp.k5_relat_1 A (tptp.k6_partfun1 B)) A))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C A B) (tptp.m2_relset_1 C A B)) (=> (tptp.v2_funct_1 C) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 A)) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.k1_zfmisc_1 B)) (=> (tptp.r1_tarski E (tptp.k2_funct_2 A B C D)) (tptp.r1_tarski (tptp.k3_funct_2 A B C E) D))))))))))) (forall ((A $$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 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 (tptp.k1_zfmisc_1 A)) (=> (tptp.r2_hidden (tptp.k8_funct_2 A B C D) (tptp.k2_funct_2 A B C E)) (tptp.r2_hidden D E))))))))))))) (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 $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.k1_zfmisc_1 A)) (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F (tptp.k1_zfmisc_1 B)) (=> (tptp.r2_hidden (tptp.k8_funct_2 A B C D) (tptp.k6_subset_1 B (tptp.k2_funct_2 A B C E) F)) (tptp.r2_hidden D (tptp.k6_subset_1 A E (tptp.k3_funct_2 A B C F))))))))))))))))) (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 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 B)) (=> (tptp.r2_hidden D (tptp.k6_subset_1 B (tptp.k2_funct_2 A B C E) F)) (tptp.r2_hidden (tptp.k1_funct_1 (tptp.k2_funct_1 C) D) (tptp.k6_subset_1 A E (tptp.k3_funct_2 A B C F))))))))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted)) (=> (tptp.r2_hidden B (tptp.k1_relat_1 A)) (= (tptp.k7_relat_1 A (tptp.k1_tarski B)) (tptp.k3_cqc_lang B (tptp.k1_funct_1 A B))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.r2_hidden C A) (= (tptp.k3_cqc_lang C (tptp.k1_funct_1 B C)) (tptp.k7_relat_1 B (tptp.k1_tarski C))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.m1_pboole C (tptp.k2_zfmisc_1 A B)) (forall ((D $$unsorted) (E $$unsorted)) (=> (and (tptp.r2_hidden D A) (tptp.r2_hidden E B)) (= (tptp.k9_funct_2 D E (tptp.k1_binop_1 C D E)) (tptp.k7_relat_1 C (tptp.k2_zfmisc_1 (tptp.k1_tarski D) (tptp.k1_tarski 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 $$unsorted)) (let ((_let_1 (tptp.k1_relat_1 A))) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (=> (and (tptp.r1_tarski (tptp.k2_relat_1 B) _let_1) (tptp.r1_tarski (tptp.k2_relat_1 C) _let_1)) (= (tptp.k5_relat_1 (tptp.k1_funct_4 B C) A) (tptp.k1_funct_4 (tptp.k5_relat_1 B A) (tptp.k5_relat_1 C A))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (forall ((C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (= (tptp.k5_relat_1 A (tptp.k1_funct_4 B C)) (tptp.k1_funct_4 (tptp.k5_relat_1 A B) (tptp.k5_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 $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (=> (tptp.r1_xboole_0 (tptp.k2_relat_1 A) (tptp.k1_relat_1 B)) (= (tptp.k5_relat_1 A (tptp.k1_funct_4 C B)) (tptp.k5_relat_1 A C))))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (not (tptp.r1_xboole_0 A (tptp.k2_relat_1 (tptp.k1_funct_4 (tptp.k6_partfun1 B) (tptp.k2_funcop_1 A C))))) (tptp.r2_hidden C A))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (not (and (not (= A B)) (tptp.r2_hidden A (tptp.k2_relat_1 (tptp.k1_funct_4 (tptp.k6_partfun1 C) (tptp.k3_cqc_lang A B))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (=> (= (tptp.k1_relat_1 C) (tptp.k2_xboole_0 A (tptp.k1_tarski B))) (= C (tptp.k1_funct_4 (tptp.k7_relat_1 C A) (tptp.k3_cqc_lang B (tptp.k1_funct_1 C B))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k2_funcop_1 B D))) (= (tptp.k1_funct_4 (tptp.k1_funct_4 A (tptp.k2_funcop_1 B C)) _let_1) (tptp.k1_funct_4 A _let_1)))))) true (not (= tptp.k4_numbers (tptp.k3_finseq_2 tptp.k4_numbers))) (= (tptp.k3_finseq_2 tptp.k1_xboole_0) _let_17) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.r2_hidden (tptp.k9_finseq_1 A) (tptp.k3_finseq_2 B)) (tptp.r2_hidden A B))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.r1_tarski (tptp.k3_finseq_2 A) (tptp.k3_finseq_2 B)) (tptp.r1_tarski A B))) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A (tptp.k1_zfmisc_1 tptp.k5_numbers)) (=> (forall ((B $$unsorted)) (=> (tptp.m2_subset_1 B tptp.k1_numbers tptp.k5_numbers) (forall ((C $$unsorted)) (=> (tptp.m2_subset_1 C tptp.k1_numbers tptp.k5_numbers) (=> (tptp.r2_hidden B A) (or (tptp.r1_xreal_0 B C) (tptp.r2_hidden C A))))))) (tptp.v1_card_1 A)))) (forall ((A $$unsorted)) (=> (tptp.v1_finset_1 A) (forall ((B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 A)))) (exists ((C $$unsorted)) (and (tptp.m2_subset_1 C (tptp.k1_zfmisc_1 A) B) (forall ((D $$unsorted)) (=> (tptp.m2_subset_1 D (tptp.k1_zfmisc_1 A) B) (=> (tptp.r1_tarski D C) (= D C)))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_finseq_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (tptp.v1_finseq_1 B)) (=> (= (tptp.k3_finseq_1 A) (tptp.k1_nat_1 (tptp.k3_finseq_1 B) tptp.np__1)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k4_finseq_1 A))) (=> (tptp.m2_subset_1 C tptp.k1_numbers tptp.k5_numbers) (= (tptp.r2_hidden C (tptp.k4_finseq_1 B)) (and (tptp.r2_hidden C _let_1) (tptp.r2_hidden (tptp.k1_nat_1 C tptp.np__1) _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)) (=> (tptp.v1_funcop_1 (tptp.k7_finseq_1 A B)) (and (tptp.v1_funcop_1 A) (tptp.v1_funcop_1 B))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.r2_hidden A B) (= (tptp.k1_funct_7 A B) A))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.r2_hidden A (tptp.k3_xboole_0 B C)) (= (tptp.k1_funct_7 A B) (tptp.k1_funct_7 A C)))) (forall ((A $$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_funct_7 A B C) (= (tptp.k7_relat_1 A (tptp.k4_xboole_0 (tptp.k1_relat_1 A) C)) (tptp.k7_relat_1 B (tptp.k4_xboole_0 (tptp.k1_relat_1 B) C))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted)) (tptp.r1_funct_7 A 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 $$unsorted)) (=> (tptp.r1_funct_7 A B C) (tptp.r1_funct_7 B A C))))))) (forall ((A $$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)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (forall ((D $$unsorted)) (=> (and (tptp.r1_funct_7 A B D) (tptp.r1_funct_7 B C D)) (tptp.r1_funct_7 A C D))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (forall ((C $$unsorted)) (=> (tptp.r1_funct_7 A B C) (= (tptp.k4_xboole_0 (tptp.k1_relat_1 A) C) (tptp.k4_xboole_0 (tptp.k1_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 $$unsorted)) (=> (tptp.r1_tarski (tptp.k1_relat_1 B) C) (tptp.r1_funct_7 A (tptp.k1_funct_4 A B) C))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k2_funct_7 A B C))) (let ((_let_2 (tptp.r2_hidden B (tptp.k1_relat_1 A)))) (and (=> _let_2 (= _let_1 (tptp.k1_funct_4 A (tptp.k3_cqc_lang B C)))) (=> (not _let_2) (= _let_1 A)))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted) (C $$unsorted)) (= (tptp.k1_relat_1 (tptp.k2_funct_7 A C B)) (tptp.k1_relat_1 A))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted) (C $$unsorted)) (=> (tptp.r2_hidden C (tptp.k1_relat_1 A)) (= (tptp.k1_funct_1 (tptp.k2_funct_7 A C B) C) B))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (not (= C D)) (= (tptp.k1_funct_1 (tptp.k2_funct_7 A C B) D) (tptp.k1_funct_1 A D)))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (=> (not (= D E)) (= (tptp.k2_funct_7 (tptp.k2_funct_7 A D B) E C) (tptp.k2_funct_7 (tptp.k2_funct_7 A E C) D B)))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted) (C $$unsorted) (D $$unsorted)) (= (tptp.k2_funct_7 (tptp.k2_funct_7 A D B) D C) (tptp.k2_funct_7 A D C))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted)) (= (tptp.k2_funct_7 A B (tptp.k1_funct_1 A B)) A)))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (tptp.m2_finseq_1 B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C A) (forall ((D $$unsorted)) (=> (tptp.m2_subset_1 D tptp.k1_numbers tptp.k5_numbers) (=> (tptp.r2_hidden D (tptp.k4_finseq_1 B)) (= (tptp.k4_finseq_4 tptp.k5_numbers A (tptp.k3_funct_7 A B D C) D) C)))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (tptp.m2_finseq_1 B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C A) (forall ((D $$unsorted)) (=> (tptp.m2_subset_1 D tptp.k1_numbers tptp.k5_numbers) (forall ((E $$unsorted)) (=> (tptp.m2_subset_1 E tptp.k1_numbers tptp.k5_numbers) (=> (tptp.r2_hidden E (tptp.k4_finseq_1 B)) (or (= D E) (= (tptp.k4_finseq_4 tptp.k5_numbers A (tptp.k3_funct_7 A B D C) E) (tptp.k4_finseq_4 tptp.k5_numbers A B E)))))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (tptp.m2_finseq_1 B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C A) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D A) (forall ((E $$unsorted)) (=> (tptp.m2_subset_1 E tptp.k1_numbers tptp.k5_numbers) (= (tptp.k3_funct_7 A B E (tptp.k4_finseq_4 tptp.k5_numbers A B E)) B))))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (tptp.v1_finseq_1 B) (tptp.v1_funcop_1 B)) (forall ((C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (= (= C (tptp.k4_funct_7 A B)) (exists ((D $$unsorted)) (and (tptp.v1_funcop_1 D) (tptp.m1_pboole D tptp.k5_numbers) (= C (tptp.k1_funct_1 D (tptp.k3_finseq_1 B))) (= (tptp.k1_funct_1 D tptp.np__0) (tptp.k6_partfun1 A)) (forall ((E $$unsorted)) (=> (tptp.m2_subset_1 E tptp.k1_numbers tptp.k5_numbers) (=> (tptp.r2_hidden (tptp.k1_nat_1 E tptp.np__1) (tptp.k4_finseq_1 B)) (forall ((F $$unsorted)) (=> (and (tptp.v1_relat_1 F) (tptp.v1_funct_1 F)) (forall ((G $$unsorted)) (let ((_let_1 (tptp.k1_nat_1 E tptp.np__1))) (=> (and (tptp.v1_relat_1 G) (tptp.v1_funct_1 G)) (=> (and (= F (tptp.k1_funct_1 D E)) (= G (tptp.k1_funct_1 B _let_1))) (= (tptp.k1_funct_1 D _let_1) (tptp.k5_relat_1 F G)))))))))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_finseq_1 A) (tptp.v1_funcop_1 A)) (forall ((B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C) (tptp.v1_finseq_1 C)) (= (= C (tptp.k5_funct_7 A B)) (and (= (tptp.k3_finseq_1 C) (tptp.k1_nat_1 (tptp.k3_finseq_1 A) tptp.np__1)) (= (tptp.k1_funct_1 C tptp.np__1) B) (forall ((D $$unsorted)) (=> (tptp.m2_subset_1 D tptp.k1_numbers tptp.k5_numbers) (forall ((E $$unsorted)) (=> (and (tptp.v1_relat_1 E) (tptp.v1_funct_1 E)) (=> (and (tptp.r2_hidden D (tptp.k4_finseq_1 A)) (= E (tptp.k1_funct_1 A D))) (= (tptp.k1_funct_1 C (tptp.k1_nat_1 D tptp.np__1)) (tptp.k1_funct_1 E (tptp.k1_funct_1 C D)))))))))))))) (forall ((A $$unsorted)) (= (tptp.k4_funct_7 A tptp.k1_xboole_0) (tptp.k6_partfun1 A))) (forall ((A $$unsorted)) (= (tptp.k5_funct_7 tptp.k1_xboole_0 A) (tptp.k9_finseq_1 A))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (tptp.v1_finseq_1 B) (tptp.v1_funcop_1 B)) (forall ((C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (= (tptp.k4_funct_7 A (tptp.k7_finseq_1 B (tptp.k9_finseq_1 C))) (tptp.k5_relat_1 (tptp.k4_funct_7 A B) C)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (tptp.v1_finseq_1 B) (tptp.v1_funcop_1 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k5_funct_7 B A))) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (= (tptp.k5_funct_7 (tptp.k7_finseq_1 B (tptp.k9_finseq_1 C)) A) (tptp.k7_finseq_1 _let_1 (tptp.k9_finseq_1 (tptp.k1_funct_1 C (tptp.k1_funct_1 _let_1 (tptp.k1_nat_1 (tptp.k3_finseq_1 B) tptp.np__1))))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (tptp.v1_finseq_1 B) (tptp.v1_funcop_1 B)) (forall ((C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (= (tptp.k4_funct_7 A (tptp.k7_finseq_1 (tptp.k9_finseq_1 C) B)) (tptp.k5_relat_1 (tptp.k7_relat_1 C A) (tptp.k4_funct_7 (tptp.k9_relat_1 C A) B))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (tptp.v1_finseq_1 B) (tptp.v1_funcop_1 B)) (forall ((C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (= (tptp.k5_funct_7 (tptp.k7_finseq_1 (tptp.k9_finseq_1 C) B) A) (tptp.k7_finseq_1 (tptp.k9_finseq_1 A) (tptp.k5_funct_7 B (tptp.k1_funct_1 C A)))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (= (tptp.k4_funct_7 A (tptp.k9_finseq_1 B)) (tptp.k5_relat_1 (tptp.k6_partfun1 A) B)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (=> (tptp.r1_tarski (tptp.k1_relat_1 B) A) (= (tptp.k4_funct_7 A (tptp.k9_finseq_1 B)) B)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (= (tptp.k5_funct_7 (tptp.k9_finseq_1 B) A) (tptp.k10_finseq_1 A (tptp.k1_funct_1 B A))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C) (tptp.v1_finseq_1 C) (tptp.v1_funcop_1 C)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k4_funct_7 A C))) (=> (and (tptp.v1_relat_1 D) (tptp.v1_funct_1 D) (tptp.v1_finseq_1 D) (tptp.v1_funcop_1 D)) (=> (tptp.r1_tarski (tptp.k2_relat_1 _let_1) B) (= (tptp.k4_funct_7 A (tptp.k7_finseq_1 C D)) (tptp.k5_relat_1 _let_1 (tptp.k4_funct_7 B D))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (tptp.v1_finseq_1 B) (tptp.v1_funcop_1 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k7_finseq_1 B C))) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C) (tptp.v1_finseq_1 C) (tptp.v1_funcop_1 C)) (= (tptp.k1_funct_1 (tptp.k5_funct_7 _let_1 A) (tptp.k1_nat_1 (tptp.k3_finseq_1 _let_1) tptp.np__1)) (tptp.k1_funct_1 (tptp.k5_funct_7 C (tptp.k1_funct_1 (tptp.k5_funct_7 B A) (tptp.k1_nat_1 (tptp.k3_finseq_1 B) tptp.np__1))) (tptp.k1_nat_1 (tptp.k3_finseq_1 C) tptp.np__1)))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (tptp.v1_finseq_1 B) (tptp.v1_funcop_1 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k5_funct_7 B A))) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C) (tptp.v1_finseq_1 C) (tptp.v1_funcop_1 C)) (= (tptp.k5_funct_7 (tptp.k7_finseq_1 B C) A) (tptp.k1_rewrite1 _let_1 (tptp.k5_funct_7 C (tptp.k1_funct_1 _let_1 (tptp.k1_nat_1 (tptp.k3_finseq_1 B) tptp.np__1)))))))))) (forall ((A $$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)) (= (tptp.k4_funct_7 A (tptp.k10_finseq_1 B C)) (tptp.k5_relat_1 (tptp.k6_partfun1 A) (tptp.k5_relat_1 B C))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k5_relat_1 B C))) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (=> (or (tptp.r1_tarski (tptp.k1_relat_1 B) A) (tptp.r1_tarski (tptp.k1_relat_1 _let_1) A)) (= (tptp.k4_funct_7 A (tptp.k10_finseq_1 B C)) _let_1))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k1_funct_1 B A))) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (= (tptp.k5_funct_7 (tptp.k10_finseq_1 B C) A) (tptp.k11_finseq_1 A _let_1 (tptp.k1_funct_1 C _let_1)))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (forall ((C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (forall ((D $$unsorted)) (=> (and (tptp.v1_relat_1 D) (tptp.v1_funct_1 D)) (= (tptp.k4_funct_7 A (tptp.k11_finseq_1 B C D)) (tptp.k5_relat_1 (tptp.k6_partfun1 A) (tptp.k5_relat_1 B (tptp.k5_relat_1 C D)))))))))) (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)) (let ((_let_1 (tptp.k5_relat_1 B (tptp.k5_relat_1 C D)))) (=> (and (tptp.v1_relat_1 D) (tptp.v1_funct_1 D)) (=> (not (and (not (tptp.r1_tarski (tptp.k1_relat_1 B) A)) (not (tptp.r1_tarski (tptp.k1_relat_1 (tptp.k5_relat_1 B C)) A)) (not (tptp.r1_tarski (tptp.k1_relat_1 _let_1) A)))) (= (tptp.k4_funct_7 A (tptp.k11_finseq_1 B C D)) _let_1))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (forall ((C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k1_funct_1 B A))) (let ((_let_2 (tptp.k1_funct_1 C _let_1))) (=> (and (tptp.v1_relat_1 D) (tptp.v1_funct_1 D)) (= (tptp.k5_funct_7 (tptp.k11_finseq_1 B C D) A) (tptp.k7_finseq_1 (tptp.k9_finseq_1 A) (tptp.k11_finseq_1 _let_1 _let_2 (tptp.k1_funct_1 D _let_2)))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_finseq_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (= B (tptp.k6_funct_7 A)))) (let ((_let_2 (tptp.v1_xboole_0 A))) (and (=> _let_2 (= _let_1 (tptp.v1_xboole_0 B))) (=> (not _let_2) (= _let_1 (= B (tptp.k1_funct_5 (tptp.k1_funct_1 A tptp.np__1))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_finseq_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (= B (tptp.k7_funct_7 A)))) (let ((_let_2 (tptp.v1_xboole_0 A))) (and (=> _let_2 (= _let_1 (tptp.v1_xboole_0 B))) (=> (not _let_2) (= _let_1 (= B (tptp.k2_funct_5 (tptp.k1_funct_1 A (tptp.k3_finseq_1 A)))))))))))) (and (= (tptp.k6_funct_7 tptp.k1_xboole_0) tptp.k1_xboole_0) (= (tptp.k7_funct_7 tptp.k1_xboole_0) 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.k9_finseq_1 A))) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (tptp.v1_finseq_1 B)) (and (= (tptp.k6_funct_7 (tptp.k7_finseq_1 _let_1 B)) (tptp.k1_relat_1 A)) (= (tptp.k7_funct_7 (tptp.k7_finseq_1 B _let_1)) (tptp.k2_relat_1 A)))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (tptp.v1_finseq_1 B) (tptp.v1_funcop_1 B)) (=> (not (= B tptp.k1_xboole_0)) (tptp.r1_tarski (tptp.k2_relat_1 (tptp.k4_funct_7 A B)) (tptp.k7_funct_7 B))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_finseq_1 A)) (= (tptp.v1_funct_7 A) (exists ((B $$unsorted)) (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (tptp.v1_finseq_1 B) (= (tptp.k3_finseq_1 B) (tptp.k1_nat_1 (tptp.k3_finseq_1 A) tptp.np__1)) (forall ((C $$unsorted)) (=> (tptp.m2_subset_1 C tptp.k1_numbers tptp.k5_numbers) (=> (tptp.r2_hidden C (tptp.k4_finseq_1 A)) (tptp.r2_hidden (tptp.k1_funct_1 A C) (tptp.k1_funct_2 (tptp.k1_funct_1 B C) (tptp.k1_funct_1 B (tptp.k1_nat_1 C tptp.np__1)))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_finseq_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (tptp.v1_finseq_1 B)) (=> (tptp.v1_funct_7 (tptp.k7_finseq_1 A B)) (and (tptp.v1_funct_7 A) (tptp.v1_funct_7 B))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (tptp.v1_finseq_1 B) (tptp.v1_funct_7 B)) (=> (not (= B tptp.k1_xboole_0)) (= (tptp.k1_relat_1 (tptp.k4_funct_7 A B)) (tptp.k3_xboole_0 (tptp.k6_funct_7 B) A))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k6_funct_7 A))) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_finseq_1 A) (tptp.v1_funct_7 A)) (= (tptp.k1_relat_1 (tptp.k4_funct_7 _let_1 A)) _let_1)))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_finseq_1 A) (tptp.v1_funct_7 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k7_finseq_1 (tptp.k9_finseq_1 B) A))) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (=> (tptp.r1_tarski (tptp.k2_relat_1 B) (tptp.k6_funct_7 A)) (and (tptp.v1_relat_1 _let_1) (tptp.v1_funct_1 _let_1) (tptp.v1_finseq_1 _let_1) (tptp.v1_funct_7 _let_1)))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_finseq_1 A) (tptp.v1_funct_7 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k7_finseq_1 A (tptp.k9_finseq_1 B)))) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (=> (tptp.r1_tarski (tptp.k7_funct_7 A) (tptp.k1_relat_1 B)) (and (tptp.v1_relat_1 _let_1) (tptp.v1_funct_1 _let_1) (tptp.v1_finseq_1 _let_1) (tptp.v1_funct_7 _let_1)))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C) (tptp.v1_finseq_1 C) (tptp.v1_funct_7 C)) (=> (and (tptp.r2_hidden A (tptp.k6_funct_7 C)) (tptp.r2_hidden A B)) (= (tptp.k1_funct_1 (tptp.k5_funct_7 C A) (tptp.k1_nat_1 (tptp.k3_finseq_1 C) tptp.np__1)) (tptp.k1_funct_1 (tptp.k4_funct_7 B C) A))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (=> (tptp.v1_xboole_0 B) (tptp.v1_xboole_0 A)) (forall ((C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C) (tptp.v1_finseq_1 C) (tptp.v1_funct_7 C)) (= (tptp.m1_funct_7 C A B) (and (= (tptp.k6_funct_7 C) A) (tptp.r1_tarski (tptp.k7_funct_7 C) B))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v1_relat_1 A) (tptp.v2_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_finseq_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (tptp.v1_finseq_1 B)) (= (tptp.m2_funct_7 B A) (and (= (tptp.k1_nat_1 (tptp.k3_finseq_1 B) tptp.np__1) (tptp.k3_finseq_1 A)) (forall ((C $$unsorted)) (=> (tptp.m2_subset_1 C tptp.k1_numbers tptp.k5_numbers) (=> (tptp.r2_hidden C (tptp.k4_finseq_1 B)) (tptp.r2_hidden (tptp.k1_funct_1 B C) (tptp.k1_funct_2 (tptp.k1_funct_1 A C) (tptp.k1_funct_1 A (tptp.k1_nat_1 C tptp.np__1))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v1_relat_1 A) (tptp.v2_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_finseq_1 A)) (forall ((B $$unsorted)) (=> (tptp.m2_funct_7 B A) (=> (not (= B tptp.k1_xboole_0)) (and (= (tptp.k6_funct_7 B) (tptp.k1_funct_1 A tptp.np__1)) (tptp.r1_tarski (tptp.k7_funct_7 B) (tptp.k1_funct_1 A (tptp.k3_finseq_1 A))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v1_relat_1 A) (tptp.v2_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_finseq_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k1_funct_1 A tptp.np__1))) (let ((_let_2 (tptp.k4_funct_7 _let_1 B))) (=> (tptp.m2_funct_7 B A) (and (= (tptp.k1_relat_1 _let_2) _let_1) (tptp.r1_tarski (tptp.k2_relat_1 _let_2) (tptp.k1_funct_1 A (tptp.k3_finseq_1 A)))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted)) (=> (tptp.m2_subset_1 B tptp.k1_numbers tptp.k5_numbers) (forall ((C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (= (= C (tptp.k9_funct_7 A B)) (exists ((D $$unsorted)) (let ((_let_1 (tptp.k2_xboole_0 (tptp.k1_relat_1 A) (tptp.k2_relat_1 A)))) (let ((_let_2 (tptp.k4_partfun1 _let_1 _let_1))) (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D tptp.k5_numbers _let_2) (tptp.m2_relset_1 D tptp.k5_numbers _let_2) (= C (tptp.k8_funct_2 tptp.k5_numbers _let_2 D B)) (= (tptp.k8_funct_2 tptp.k5_numbers _let_2 D tptp.np__0) (tptp.k6_partfun1 _let_1)) (forall ((E $$unsorted)) (=> (tptp.m2_subset_1 E tptp.k1_numbers tptp.k5_numbers) (exists ((F $$unsorted)) (let ((_let_1 (tptp.k2_xboole_0 (tptp.k1_relat_1 A) (tptp.k2_relat_1 A)))) (let ((_let_2 (tptp.k4_partfun1 _let_1 _let_1))) (and (tptp.v1_relat_1 F) (tptp.v1_funct_1 F) (= F (tptp.k8_funct_2 tptp.k5_numbers _let_2 D E)) (= (tptp.k8_funct_2 tptp.k5_numbers _let_2 D (tptp.k1_nat_1 E tptp.np__1)) (tptp.k5_relat_1 A F))))))))))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (= (tptp.k9_funct_7 A tptp.np__0) (tptp.k6_partfun1 (tptp.k2_xboole_0 (tptp.k1_relat_1 A) (tptp.k2_relat_1 A)))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted)) (=> (tptp.m2_subset_1 B tptp.k1_numbers tptp.k5_numbers) (= (tptp.k9_funct_7 A (tptp.k1_nat_1 B tptp.np__1)) (tptp.k5_relat_1 A (tptp.k9_funct_7 A B))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (= (tptp.k9_funct_7 A tptp.np__1) A))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted)) (=> (tptp.m2_subset_1 B tptp.k1_numbers tptp.k5_numbers) (= (tptp.k9_funct_7 A (tptp.k1_nat_1 B tptp.np__1)) (tptp.k5_relat_1 (tptp.k9_funct_7 A B) A)))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k2_xboole_0 (tptp.k1_relat_1 A) (tptp.k2_relat_1 A)))) (let ((_let_2 (tptp.k9_funct_7 A B))) (=> (tptp.m2_subset_1 B tptp.k1_numbers tptp.k5_numbers) (and (tptp.r1_tarski (tptp.k1_relat_1 _let_2) _let_1) (tptp.r1_tarski (tptp.k2_relat_1 _let_2) _let_1)))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k9_funct_7 A B))) (=> (tptp.m2_subset_1 B tptp.k1_numbers tptp.k5_numbers) (=> (not (= B tptp.np__0)) (and (tptp.r1_tarski (tptp.k1_relat_1 _let_1) (tptp.k1_relat_1 A)) (tptp.r1_tarski (tptp.k2_relat_1 _let_1) (tptp.k2_relat_1 A))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k1_relat_1 A))) (let ((_let_2 (tptp.k9_funct_7 A B))) (=> (tptp.m2_subset_1 B tptp.k1_numbers tptp.k5_numbers) (=> (tptp.r1_tarski (tptp.k2_relat_1 A) _let_1) (and (= (tptp.k1_relat_1 _let_2) _let_1) (tptp.r1_tarski (tptp.k2_relat_1 _let_2) _let_1))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k9_funct_7 A B))) (=> (tptp.m2_subset_1 B tptp.k1_numbers tptp.k5_numbers) (= (tptp.k5_relat_1 (tptp.k6_partfun1 (tptp.k2_xboole_0 (tptp.k1_relat_1 A) (tptp.k2_relat_1 A))) _let_1) _let_1)))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k9_funct_7 A B))) (=> (tptp.m2_subset_1 B tptp.k1_numbers tptp.k5_numbers) (= (tptp.k5_relat_1 _let_1 (tptp.k6_partfun1 (tptp.k2_xboole_0 (tptp.k1_relat_1 A) (tptp.k2_relat_1 A)))) _let_1)))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (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.k5_relat_1 (tptp.k9_funct_7 A C) (tptp.k9_funct_7 A B)) (tptp.k9_funct_7 A (tptp.k1_nat_1 B C))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted)) (=> (tptp.m2_subset_1 B tptp.k1_numbers tptp.k5_numbers) (forall ((C $$unsorted)) (=> (tptp.m2_subset_1 C tptp.k1_numbers tptp.k5_numbers) (=> (not (= B tptp.np__0)) (= (tptp.k9_funct_7 (tptp.k9_funct_7 A C) B) (tptp.k9_funct_7 A (tptp.k2_nat_1 C B)))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (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.r1_tarski (tptp.k2_relat_1 A) (tptp.k1_relat_1 A)) (= (tptp.k9_funct_7 (tptp.k9_funct_7 A B) C) (tptp.k9_funct_7 A (tptp.k2_nat_1 B C)))))))))) (forall ((A $$unsorted)) (=> (tptp.m2_subset_1 A tptp.k1_numbers tptp.k5_numbers) (= (tptp.k9_funct_7 tptp.k1_xboole_0 A) tptp.k1_xboole_0))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k6_partfun1 A))) (=> (tptp.m2_subset_1 B tptp.k1_numbers tptp.k5_numbers) (= (tptp.k9_funct_7 _let_1 B) _let_1)))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (=> (tptp.r1_xboole_0 (tptp.k2_relat_1 A) (tptp.k1_relat_1 A)) (= (tptp.k9_funct_7 A tptp.np__2) tptp.k1_xboole_0)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m2_subset_1 B tptp.k1_numbers tptp.k5_numbers) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k9_funct_7 C B))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C A A) (tptp.m2_relset_1 C A A)) (and (tptp.v1_funct_1 _let_1) (tptp.v1_funct_2 _let_1 A A) (tptp.m2_relset_1 _let_1 A A))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B A A) (tptp.m2_relset_1 B A A)) (= (tptp.k9_funct_7 B tptp.np__0) (tptp.k6_partfun1 A)))) (forall ((A $$unsorted) (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 $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D A A) (tptp.m2_relset_1 D A A)) (= (tptp.k9_funct_7 (tptp.k9_funct_7 D B) C) (tptp.k9_funct_7 D (tptp.k2_nat_1 B C))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m2_subset_1 B tptp.k1_numbers tptp.k5_numbers) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k9_funct_7 C B))) (=> (and (tptp.v1_funct_1 C) (tptp.m2_relset_1 C A A)) (and (tptp.v1_funct_1 _let_1) (tptp.m2_relset_1 _let_1 A A))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (forall ((D $$unsorted)) (=> (tptp.m2_subset_1 D tptp.k1_numbers tptp.k5_numbers) (=> (and (tptp.r2_hidden A B) (= C (tptp.k2_funcop_1 B A))) (or (= D tptp.np__0) (= (tptp.k9_funct_7 C D) C))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted)) (=> (tptp.m2_subset_1 B tptp.k1_numbers tptp.k5_numbers) (= (tptp.k9_funct_7 A B) (tptp.k4_funct_7 (tptp.k2_xboole_0 (tptp.k1_relat_1 A) (tptp.k2_relat_1 A)) (tptp.k2_finseq_2 B A))))))) (=> (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.f1_s1_funct_7) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.f2_s1_funct_7) (tptp.r2_hidden (tptp.f4_s1_funct_7 A B) tptp.f3_s1_funct_7))))) (exists ((A $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 tptp.f1_s1_funct_7 tptp.f2_s1_funct_7))) (and (tptp.v1_funct_1 A) (tptp.v1_funct_2 A _let_1 tptp.f3_s1_funct_7) (tptp.m2_relset_1 A _let_1 tptp.f3_s1_funct_7) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.f1_s1_funct_7) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C tptp.f2_s1_funct_7) (= (tptp.k8_funct_2 (tptp.k2_zfmisc_1 tptp.f1_s1_funct_7 tptp.f2_s1_funct_7) tptp.f3_s1_funct_7 A (tptp.k1_domain_1 tptp.f1_s1_funct_7 tptp.f2_s1_funct_7 B C)) (tptp.f4_s1_funct_7 B C)))))))))) (=> (and (tptp.p1_s5_funct_7 tptp.k1_xboole_0) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_finseq_1 A) (tptp.v1_funcop_1 A)) (=> (tptp.p1_s5_funct_7 A) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (tptp.p1_s5_funct_7 (tptp.k7_finseq_1 A (tptp.k9_finseq_1 B))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_finseq_1 A) (tptp.v1_funcop_1 A)) (tptp.p1_s5_funct_7 A)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.m1_funct_7 C A B) (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C) (tptp.v1_finseq_1 C) (tptp.v1_funct_7 C)))) (forall ((A $$unsorted) (B $$unsorted)) (exists ((C $$unsorted)) (tptp.m1_funct_7 C A B))) (forall ((A $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v1_relat_1 A) (tptp.v2_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_finseq_1 A)) (forall ((B $$unsorted)) (=> (tptp.m2_funct_7 B A) (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (tptp.v1_finseq_1 B)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v1_relat_1 A) (tptp.v2_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_finseq_1 A)) (exists ((B $$unsorted)) (tptp.m2_funct_7 B A)))) (forall ((A $$unsorted) (B $$unsorted)) (tptp.m1_subset_1 (tptp.k1_funct_7 A B) B)) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k2_funct_7 A B C))) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (and (tptp.v1_relat_1 _let_1) (tptp.v1_funct_1 _let_1))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.m1_finseq_1 B A) (tptp.m1_subset_1 C tptp.k5_numbers) (tptp.m1_subset_1 D A)) (tptp.m2_finseq_1 (tptp.k3_funct_7 A B C D) A))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.m1_finseq_1 B A) (tptp.m1_subset_1 C tptp.k5_numbers) (tptp.m1_subset_1 D A)) (= (tptp.k3_funct_7 A B C D) (tptp.k2_funct_7 B C D)))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k4_funct_7 A B))) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (tptp.v1_finseq_1 B) (tptp.v1_funcop_1 B)) (and (tptp.v1_relat_1 _let_1) (tptp.v1_funct_1 _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k5_funct_7 A B))) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_finseq_1 A) (tptp.v1_funcop_1 A)) (and (tptp.v1_relat_1 _let_1) (tptp.v1_funct_1 _let_1) (tptp.v1_finseq_1 _let_1))))) true true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k8_funct_7 A B C))) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.m1_funct_7 C B 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 $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.m1_funct_7 C B A)) (= (tptp.k8_funct_7 A B C) (tptp.k4_funct_7 B C)))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k9_funct_7 A B))) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.m1_subset_1 B tptp.k5_numbers)) (and (tptp.v1_relat_1 _let_1) (tptp.v1_funct_1 _let_1))))) (=> (and (tptp.v1_finset_1 tptp.f1_s2_funct_7) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.f2_s2_funct_7) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.f2_s2_funct_7) (=> (= (tptp.f4_s2_funct_7 A) (tptp.f4_s2_funct_7 B)) (= A B))))))) (tptp.v1_finset_1 tptp.a_0_0_funct_7)) (=> (and (forall ((A $$unsorted)) (not (and (tptp.r2_hidden A tptp.f1_s3_funct_7) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.f2_s3_funct_7) (not (= A (tptp.f3_s3_funct_7 B)))))))) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.f2_s3_funct_7) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.f2_s3_funct_7) (=> (= (tptp.f3_s3_funct_7 A) (tptp.f3_s3_funct_7 B)) (= A B))))))) (tptp.r2_tarski tptp.f1_s3_funct_7 tptp.a_0_1_funct_7)) (=> (and (tptp.r1_tarski tptp.f1_s4_funct_7 tptp.f2_s4_funct_7) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.f2_s4_funct_7) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.f2_s4_funct_7) (=> (= (tptp.f3_s4_funct_7 A) (tptp.f3_s4_funct_7 B)) (= A B))))))) (tptp.r2_tarski tptp.f1_s4_funct_7 tptp.a_0_2_funct_7)) (forall ((A $$unsorted)) (= (tptp.r2_hidden A tptp.a_0_0_funct_7) (exists ((B $$unsorted)) (and (tptp.m1_subset_1 B tptp.f2_s2_funct_7) (= A (tptp.f3_s2_funct_7 B)) (tptp.r2_hidden (tptp.f4_s2_funct_7 B) tptp.f1_s2_funct_7))))) (forall ((A $$unsorted)) (= (tptp.r2_hidden A tptp.a_0_1_funct_7) (exists ((B $$unsorted)) (and (tptp.m1_subset_1 B tptp.f2_s3_funct_7) (= A B) (tptp.r2_hidden (tptp.f3_s3_funct_7 B) tptp.f1_s3_funct_7))))) (forall ((A $$unsorted)) (= (tptp.r2_hidden A tptp.a_0_2_funct_7) (exists ((B $$unsorted)) (and (tptp.m1_subset_1 B tptp.f2_s4_funct_7) (= A (tptp.f3_s4_funct_7 B)) (tptp.r2_hidden B tptp.f1_s4_funct_7))))) (exists ((A $$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)))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.k1_cat_1 A B C) (tptp.k3_cqc_lang (tptp.k4_tarski A B) C))) true true (forall ((A $$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 $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u2_cat_1 A)) (=> (= (tptp.k2_cat_1 A C) B) (= (tptp.k4_cat_1 A (tptp.k5_cat_1 A B) C) C))))))))) (tptp.v2_cat_1 A)))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k7_cat_1 B A))) (= (tptp.k8_cat_1 A B) (tptp.g1_cat_1 (tptp.k1_tarski A) (tptp.k1_tarski B) _let_1 _let_1 (tptp.k1_cat_1 B B B) (tptp.k7_cat_1 A B))))) true true (forall ((A $$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 $$unsorted)) (let ((_let_1 (tptp.k1_tarski B))) (let ((_let_2 (tptp.k1_tarski A))) (let ((_let_3 (tptp.k7_cat_1 A B))) (and (tptp.v1_funct_1 _let_3) (tptp.v1_funct_2 _let_3 _let_2 _let_1) (tptp.m2_relset_1 _let_3 _let_2 _let_1)))))) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.k7_cat_1 A B) (tptp.k3_cqc_lang A B))) (forall ((A $$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)))) (forall ((A $$unsorted)) (=> (tptp.l1_struct_0 A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (tptp.r1_tarski B (tptp.k1_zfmisc_1 (tptp.k2_pre_topc A))))))) true (forall ((A $$unsorted)) (=> (tptp.l1_struct_0 A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (forall ((C $$unsorted)) (=> (tptp.r1_tarski C B) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))))))))) true (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_struct_0 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (not (and (tptp.r1_pre_topc A B) (= B tptp.k1_xboole_0))))))) (forall ((A $$unsorted)) (=> (tptp.l1_struct_0 A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.k1_zfmisc_1 _let_1))) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 _let_2)) (tptp.r1_tarski (tptp.k6_subset_1 _let_1 (tptp.k5_setfam_1 _let_1 B) (tptp.k5_setfam_1 _let_1 C)) (tptp.k5_setfam_1 _let_1 (tptp.k6_subset_1 _let_2 B C))))))))))) true true true (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (= B tptp.k1_xboole_0))) (let ((_let_2 (= (tptp.k7_setfam_1 A B) tptp.k1_xboole_0))) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 A))) (and (not (and (not _let_1) _let_2)) (not (and (not _let_2) _let_1))))))) (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_setfam_1 A (tptp.k7_setfam_1 A B)) (tptp.k3_subset_1 A (tptp.k5_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.k3_subset_1 A (tptp.k6_setfam_1 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 (tptp.k1_zfmisc_1 _let_1))) (= (tptp.v1_finset_1 (tptp.k7_setfam_1 _let_1 B)) (tptp.v1_finset_1 B))))))) (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (= (tptp.v1_tops_2 B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (tptp.r2_hidden C B) (tptp.v3_pre_topc C A))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (= (tptp.v2_tops_2 B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (tptp.r2_hidden C B) (tptp.v4_pre_topc C A))))))))) 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 (tptp.k1_zfmisc_1 _let_1))) (= (tptp.v2_tops_2 B A) (tptp.v1_tops_2 (tptp.k7_setfam_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 (tptp.k1_zfmisc_1 _let_1))) (= (tptp.v1_tops_2 B A) (tptp.v2_tops_2 (tptp.k7_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.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (=> (and (tptp.r1_tarski B C) (tptp.v1_tops_2 C A)) (tptp.v1_tops_2 B A)))))))) (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (=> (and (tptp.r1_tarski B C) (tptp.v2_tops_2 C A)) (tptp.v2_tops_2 B A)))))))) (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 _let_1)) (=> (and (tptp.v1_tops_2 B A) (tptp.v1_tops_2 C A)) (tptp.v1_tops_2 (tptp.k4_subset_1 _let_1 B C) A))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 _let_1)) (=> (tptp.v1_tops_2 B A) (tptp.v1_tops_2 (tptp.k5_subset_1 _let_1 B C) A))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 _let_1)) (=> (tptp.v1_tops_2 B A) (tptp.v1_tops_2 (tptp.k6_subset_1 _let_1 B C) A))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 _let_1)) (=> (and (tptp.v2_tops_2 B A) (tptp.v2_tops_2 C A)) (tptp.v2_tops_2 (tptp.k4_subset_1 _let_1 B C) A))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 _let_1)) (=> (tptp.v2_tops_2 B A) (tptp.v2_tops_2 (tptp.k5_subset_1 _let_1 B C) A))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 _let_1)) (=> (tptp.v2_tops_2 B A) (tptp.v2_tops_2 (tptp.k6_subset_1 _let_1 B C) A))))))))) (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))) (=> (tptp.v1_tops_2 B A) (tptp.v3_pre_topc (tptp.k5_setfam_1 _let_1 B) A))))))) (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))) (=> (and (tptp.v1_tops_2 B A) (tptp.v1_finset_1 B)) (tptp.v3_pre_topc (tptp.k6_setfam_1 _let_1 B) A))))))) (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))) (=> (and (tptp.v2_tops_2 B A) (tptp.v1_finset_1 B)) (tptp.v4_pre_topc (tptp.k5_setfam_1 _let_1 B) A))))))) (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))) (=> (tptp.v2_tops_2 B A) (tptp.v4_pre_topc (tptp.k6_setfam_1 _let_1 B) A))))))) true (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (forall ((B $$unsorted)) (=> (tptp.m1_pre_topc B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B)))) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))))))))) (forall ((A $$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.v3_pre_topc C B) (exists ((D $$unsorted)) (and (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (tptp.v3_pre_topc D A) (= (tptp.k3_xboole_0 D (tptp.k2_pre_topc B)) C)))))))))) (forall ((A $$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)) (=> (tptp.m1_pre_topc C A) (=> (tptp.v3_pre_topc B A) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 C))) (=> (= D B) (tptp.v3_pre_topc D C))))))))))) (forall ((A $$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)) (=> (tptp.m1_pre_topc C A) (=> (tptp.v4_pre_topc B A) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 C))) (=> (= D B) (tptp.v4_pre_topc D C))))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (forall ((C $$unsorted)) (=> (tptp.m1_pre_topc C A) (=> (tptp.v1_tops_2 B A) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 C)))) (=> (= D B) (tptp.v1_tops_2 D C))))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (forall ((C $$unsorted)) (=> (tptp.m1_pre_topc C A) (=> (tptp.v2_tops_2 B A) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 C)))) (=> (= D B) (tptp.v2_tops_2 D C))))))))))) true (forall ((A $$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)) (tptp.m1_subset_1 (tptp.k5_subset_1 _let_1 B C) (tptp.k1_zfmisc_1 (tptp.u1_struct_0 (tptp.k3_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 $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 (tptp.k3_pre_topc A B))))) (= (= D (tptp.k1_tops_2 A B C)) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.k1_zfmisc_1 (tptp.u1_struct_0 (tptp.k3_pre_topc A B)))) (= (tptp.r2_hidden E D) (exists ((F $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (and (tptp.m1_subset_1 F (tptp.k1_zfmisc_1 _let_1)) (tptp.r2_hidden F C) (= (tptp.k5_subset_1 _let_1 F B) E)))))))))))))))) 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 $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (=> (tptp.r1_tarski C D) (tptp.r1_tarski (tptp.k1_tops_2 A B C) (tptp.k1_tops_2 A 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))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 _let_1))) (=> (tptp.r2_hidden B D) (tptp.r2_hidden (tptp.k5_subset_1 _let_1 B C) (tptp.k1_tops_2 A C 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))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 _let_1))) (=> (tptp.r1_tarski B (tptp.k5_setfam_1 _let_1 D)) (tptp.r1_tarski (tptp.k5_subset_1 _let_1 B C) (tptp.k5_setfam_1 (tptp.u1_struct_0 (tptp.k3_pre_topc A C)) (tptp.k1_tops_2 A C 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))) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 _let_1))) (=> (tptp.r1_tarski B (tptp.k5_setfam_1 _let_1 C)) (= B (tptp.k5_setfam_1 (tptp.u1_struct_0 (tptp.k3_pre_topc A B)) (tptp.k1_tops_2 A B C))))))))))) (forall ((A $$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 (tptp.k1_zfmisc_1 _let_1))) (tptp.r1_tarski (tptp.k5_setfam_1 (tptp.u1_struct_0 (tptp.k3_pre_topc A B)) (tptp.k1_tops_2 A B C)) (tptp.k5_setfam_1 _let_1 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 $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 _let_1))) (=> (tptp.r1_tarski B (tptp.k5_setfam_1 (tptp.u1_struct_0 (tptp.k3_pre_topc A B)) (tptp.k1_tops_2 A B C))) (tptp.r1_tarski B (tptp.k5_setfam_1 _let_1 C)))))))))) (forall ((A $$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)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (=> (tptp.v1_finset_1 C) (tptp.v1_finset_1 (tptp.k1_tops_2 A B 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 $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (=> (tptp.v1_tops_2 C A) (tptp.v1_tops_2 (tptp.k1_tops_2 A B C) (tptp.k3_pre_topc A B))))))))) (forall ((A $$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.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (=> (tptp.v2_tops_2 C A) (tptp.v2_tops_2 (tptp.k1_tops_2 A B C) (tptp.k3_pre_topc A B))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (forall ((B $$unsorted)) (=> (tptp.m1_pre_topc B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B)))) (not (and (tptp.v1_tops_2 C B) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (not (and (tptp.v1_tops_2 D A) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (= E (tptp.k2_pre_topc B)) (= C (tptp.k1_tops_2 A E D))))))))))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (exists ((D $$unsorted)) (and (tptp.v1_relat_1 D) (tptp.v1_funct_1 D) (= (tptp.k1_relat_1 D) C) (= (tptp.k2_relat_1 D) (tptp.k1_tops_2 A B C)) (forall ((E $$unsorted)) (=> (tptp.r2_hidden E C) (forall ((F $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 F (tptp.k1_zfmisc_1 _let_1)) (=> (= F E) (= (tptp.k1_funct_1 D E) (tptp.k5_subset_1 _let_1 F B)))))))))))))))) (forall ((A $$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_relat_1 C) (tptp.k2_pre_topc A)) (tptp.r1_tarski (tptp.k2_relat_1 C) (tptp.k2_pre_topc 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 $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.m2_relset_1 C _let_2 _let_1)) (= (tptp.k5_pre_topc A B C (tptp.k2_pre_topc B)) (tptp.k2_pre_topc A)))))))))) true (forall ((A $$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)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B)))) (tptp.m1_subset_1 (tptp.k9_relat_1 (tptp.k3_funct_3 C) D) (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))))))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.l1_pre_topc B)) (forall ((C $$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 $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B))) (=> (tptp.v3_pre_topc D B) (tptp.v3_pre_topc (tptp.k5_pre_topc A B C D) A))))))))))))) (forall ((A $$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 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 $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B))) (tptp.r1_tarski (tptp.k6_pre_topc A (tptp.k5_pre_topc A B C D)) (tptp.k5_pre_topc A B C (tptp.k6_pre_topc B D)))))))))))))) (forall ((A $$unsorted)) (=> (and (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 $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (tptp.r1_tarski (tptp.k4_pre_topc A B C (tptp.k6_pre_topc A D)) (tptp.k6_pre_topc B (tptp.k4_pre_topc A B C D)))))))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (forall ((B $$unsorted)) (=> (tptp.l1_pre_topc B) (forall ((C $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.l1_pre_topc C)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 C))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D _let_2 _let_1) (tptp.m2_relset_1 D _let_2 _let_1)) (forall ((E $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 C))) (=> (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.v5_pre_topc D A C) (tptp.v5_pre_topc E C B)) (tptp.v5_pre_topc (tptp.k7_funct_2 (tptp.u1_struct_0 A) _let_2 _let_1 D E) A B)))))))))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.l1_pre_topc B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.m2_relset_1 C _let_2 _let_1)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B)))) (=> (and (tptp.v5_pre_topc C A B) (tptp.v1_tops_2 D B)) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (=> (= E (tptp.k9_relat_1 (tptp.k3_funct_3 C) D)) (tptp.v1_tops_2 E A))))))))))))))) (forall ((A $$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)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B)))) (=> (and (tptp.v5_pre_topc C A B) (tptp.v2_tops_2 D B)) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (=> (= E (tptp.k9_relat_1 (tptp.k3_funct_3 C) D)) (tptp.v2_tops_2 E A))))))))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_struct_0 A) (forall ((B $$unsorted)) (=> (tptp.l1_struct_0 B) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.m2_relset_1 C _let_2 _let_1)) (=> (and (= (tptp.k2_relat_1 C) (tptp.k2_pre_topc B)) (tptp.v2_funct_1 C)) (= (tptp.k2_tops_2 A B C) (tptp.k2_funct_1 C))))))))))) true (forall ((A $$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.k2_tops_2 A B C))) (let ((_let_2 (tptp.k2_pre_topc B))) (let ((_let_3 (tptp.u1_struct_0 B))) (let ((_let_4 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_4 _let_3) (tptp.m2_relset_1 C _let_4 _let_3)) (=> (and (= (tptp.k2_relat_1 C) _let_2) (tptp.v2_funct_1 C)) (and (= (tptp.k1_relat_1 _let_1) _let_2) (= (tptp.k2_relat_1 _let_1) (tptp.k2_pre_topc A)))))))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_struct_0 A) (forall ((B $$unsorted)) (=> (tptp.l1_struct_0 B) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.m2_relset_1 C _let_2 _let_1)) (=> (and (= (tptp.k2_relat_1 C) (tptp.k2_pre_topc B)) (tptp.v2_funct_1 C)) (tptp.v2_funct_1 (tptp.k2_tops_2 A B C))))))))))) (forall ((A $$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.k2_relat_1 C) (tptp.k2_pre_topc B)) (tptp.v2_funct_1 C)) (= (tptp.k2_tops_2 B A (tptp.k2_tops_2 A B C)) C)))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_struct_0 A) (forall ((B $$unsorted)) (=> (tptp.l1_struct_0 B) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k2_relat_1 C))) (let ((_let_2 (tptp.k2_tops_2 A B C))) (let ((_let_3 (tptp.u1_struct_0 B))) (let ((_let_4 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_4 _let_3) (tptp.m2_relset_1 C _let_4 _let_3)) (=> (and (= _let_1 (tptp.k2_pre_topc B)) (tptp.v2_funct_1 C)) (and (= (tptp.k5_relat_1 C _let_2) (tptp.k6_relat_1 (tptp.k1_relat_1 C))) (= (tptp.k5_relat_1 _let_2 C) (tptp.k6_relat_1 _let_1)))))))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_struct_0 A) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.l1_struct_0 B)) (forall ((C $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.l1_struct_0 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 A))) (let ((_let_2 (tptp.u1_struct_0 B))) (let ((_let_3 (tptp.u1_struct_0 C))) (let ((_let_4 (tptp.k2_pre_topc B))) (=> (and (tptp.v1_funct_1 E) (tptp.v1_funct_2 E _let_2 _let_3) (tptp.m2_relset_1 E _let_2 _let_3)) (=> (and (= (tptp.k1_relat_1 D) (tptp.k2_pre_topc A)) (= (tptp.k2_relat_1 D) _let_4) (tptp.v2_funct_1 D) (= (tptp.k1_relat_1 E) _let_4) (= (tptp.k2_relat_1 E) (tptp.k2_pre_topc C)) (tptp.v2_funct_1 E)) (= (tptp.k2_tops_2 A C (tptp.k7_funct_2 _let_1 _let_2 _let_3 D E)) (tptp.k7_funct_2 _let_3 _let_2 _let_1 (tptp.k2_tops_2 B C E) (tptp.k2_tops_2 A B D)))))))))))))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_struct_0 A) (forall ((B $$unsorted)) (=> (tptp.l1_struct_0 B) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.m2_relset_1 C _let_2 _let_1)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (and (= (tptp.k2_relat_1 C) (tptp.k2_pre_topc B)) (tptp.v2_funct_1 C)) (= (tptp.k4_pre_topc A B C D) (tptp.k5_pre_topc B A (tptp.k2_tops_2 A B C) D))))))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_struct_0 A) (forall ((B $$unsorted)) (=> (tptp.l1_struct_0 B) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.m2_relset_1 C _let_2 _let_1)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B))) (=> (and (= (tptp.k2_relat_1 C) (tptp.k2_pre_topc B)) (tptp.v2_funct_1 C)) (= (tptp.k5_pre_topc A B C D) (tptp.k4_pre_topc B A (tptp.k2_tops_2 A B C) D))))))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (forall ((B $$unsorted)) (=> (tptp.l1_pre_topc B) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.m2_relset_1 C _let_2 _let_1)) (= (tptp.v3_tops_2 C A B) (and (= (tptp.k1_relat_1 C) (tptp.k2_pre_topc A)) (= (tptp.k2_relat_1 C) (tptp.k2_pre_topc B)) (tptp.v2_funct_1 C) (tptp.v5_pre_topc C A B) (tptp.v5_pre_topc (tptp.k2_tops_2 A B C) B A))))))))))) true (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.l1_pre_topc B)) (forall ((C $$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.v3_tops_2 C A B) (tptp.v3_tops_2 (tptp.k2_tops_2 A B C) B A)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.l1_pre_topc B)) (forall ((C $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.l1_pre_topc C)) (forall ((D $$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 $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 C))) (let ((_let_2 (tptp.u1_struct_0 B))) (=> (and (tptp.v1_funct_1 E) (tptp.v1_funct_2 E _let_2 _let_1) (tptp.m2_relset_1 E _let_2 _let_1)) (=> (and (tptp.v3_tops_2 D A B) (tptp.v3_tops_2 E B C)) (tptp.v3_tops_2 (tptp.k7_funct_2 (tptp.u1_struct_0 A) _let_2 _let_1 D E) A C)))))))))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.l1_pre_topc B)) (forall ((C $$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.v3_tops_2 C A B) (and (= (tptp.k1_relat_1 C) (tptp.k2_pre_topc A)) (= (tptp.k2_relat_1 C) (tptp.k2_pre_topc B)) (tptp.v2_funct_1 C) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (tptp.v4_pre_topc D A) (tptp.v4_pre_topc (tptp.k4_pre_topc A B C D) B)))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (tptp.v2_pre_topc B) (tptp.l1_pre_topc B)) (forall ((C $$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.v3_tops_2 C A B) (and (= (tptp.k1_relat_1 C) (tptp.k2_pre_topc A)) (= (tptp.k2_relat_1 C) (tptp.k2_pre_topc B)) (tptp.v2_funct_1 C) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B))) (= (tptp.k5_pre_topc A B C (tptp.k6_pre_topc B D)) (tptp.k6_pre_topc A (tptp.k5_pre_topc A B C D))))))))))))))) (forall ((A $$unsorted)) (=> (and (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.v3_tops_2 C A B) (and (= (tptp.k1_relat_1 C) (tptp.k2_pre_topc A)) (= (tptp.k2_relat_1 C) (tptp.k2_pre_topc B)) (tptp.v2_funct_1 C) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (tptp.k4_pre_topc A B C (tptp.k6_pre_topc A D)) (tptp.k6_pre_topc B (tptp.k4_pre_topc A B C D))))))))))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$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 C (tptp.k1_zfmisc_1 _let_1))) (tptp.m1_subset_1 (tptp.k1_tops_2 A B C) (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 (tptp.k3_pre_topc A B)))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.u1_struct_0 B))) (let ((_let_3 (tptp.k2_tops_2 A B C))) (=> (and (tptp.l1_struct_0 A) (tptp.l1_struct_0 B) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_1 _let_2) (tptp.m1_relset_1 C _let_1 _let_2)) (and (tptp.v1_funct_1 _let_3) (tptp.v1_funct_2 _let_3 _let_2 _let_1) (tptp.m2_relset_1 _let_3 _let_2 _let_1))))))) (exists ((A $$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)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v7_rlvect_1 A) (tptp.l2_rlvect_1 A)) (exists ((B $$unsorted)) (and (tptp.m1_rlsub_1 B A) (not (tptp.v3_struct_0 B)) (tptp.v2_rlvect_1 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))))) (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_zfmisc_1 (tptp.u1_struct_0 A))) (= (tptp.v1_rlsub_1 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_rlvect_1 A C D) B)))))) (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.r2_hidden D B) (tptp.r2_hidden (tptp.k3_rlvect_1 A D C) B)))))))))))) true true true (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v7_rlvect_1 A) (tptp.l2_rlvect_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (tptp.v1_rlsub_1 B A) (or (= B tptp.k1_xboole_0) (tptp.r2_hidden (tptp.k1_rlvect_1 A) B))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v7_rlvect_1 A) (tptp.l2_rlvect_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (tptp.v1_rlsub_1 B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (=> (tptp.r2_hidden C B) (tptp.r2_hidden (tptp.k5_rlvect_1 A C) B))))))))) (forall ((A $$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.v7_rlvect_1 A) (tptp.l2_rlvect_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (tptp.v1_rlsub_1 B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (=> (and (tptp.r2_hidden C B) (tptp.r2_hidden D B)) (tptp.r2_hidden (tptp.k6_rlvect_1 A C D) B))))))))))) (forall ((A $$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.v7_rlvect_1 A) (tptp.l2_rlvect_1 A)) (tptp.v1_rlsub_1 (tptp.k1_struct_0 A (tptp.k1_rlvect_1 A)) 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.u1_struct_0 A))) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 _let_1)) (=> (= _let_1 B) (tptp.v1_rlsub_1 B 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.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 _let_1)) (=> (and (tptp.v1_rlsub_1 B A) (tptp.v1_rlsub_1 C A)) (tptp.v1_rlsub_1 (tptp.k5_subset_1 _let_1 B C) A))))))))) (forall ((A $$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 $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v7_rlvect_1 B) (tptp.l2_rlvect_1 B)) (= (tptp.m1_rlsub_1 B A) (and (tptp.r1_tarski _let_1 _let_2) (= (tptp.u2_struct_0 B) (tptp.u2_struct_0 A)) (= (tptp.u1_rlvect_1 B) (tptp.k1_realset1 (tptp.u1_rlvect_1 A) _let_1)) (= (tptp.u2_rlvect_1 B) (tptp.k8_relset_1 (tptp.k2_zfmisc_1 tptp.k1_numbers _let_2) _let_2 (tptp.u2_rlvect_1 A) (tptp.k2_zfmisc_1 tptp.k1_numbers _let_1))))))))))) true true true true true (forall ((A $$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.v7_rlvect_1 A) (tptp.l2_rlvect_1 A)) (forall ((B $$unsorted) (C $$unsorted)) (=> (tptp.m1_rlsub_1 C A) (forall ((D $$unsorted)) (=> (tptp.m1_rlsub_1 D A) (=> (and (tptp.r1_rlvect_1 C B) (tptp.m1_rlsub_1 C D)) (tptp.r1_rlvect_1 D B)))))))) (forall ((A $$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 $$unsorted) (C $$unsorted)) (=> (tptp.m1_rlsub_1 C A) (=> (tptp.r1_rlvect_1 C B) (tptp.r1_rlvect_1 A B)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v7_rlvect_1 A) (tptp.l2_rlvect_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_rlsub_1 B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 B)) (tptp.m1_subset_1 C (tptp.u1_struct_0 A)))))))) (forall ((A $$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 $$unsorted)) (=> (tptp.m1_rlsub_1 B A) (= (tptp.k1_rlvect_1 B) (tptp.k1_rlvect_1 A)))))) (forall ((A $$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 $$unsorted)) (=> (tptp.m1_rlsub_1 B A) (forall ((C $$unsorted)) (=> (tptp.m1_rlsub_1 C A) (= (tptp.k1_rlvect_1 B) (tptp.k1_rlvect_1 C)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v7_rlvect_1 A) (tptp.l2_rlvect_1 A)) (forall ((B $$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_rlsub_1 D A) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.u1_struct_0 D)) (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F (tptp.u1_struct_0 D)) (=> (and (= E B) (= F C)) (= (tptp.k4_rlvect_1 D E F) (tptp.k4_rlvect_1 A B C))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v7_rlvect_1 A) (tptp.l2_rlvect_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C tptp.k1_numbers) (forall ((D $$unsorted)) (=> (tptp.m1_rlsub_1 D A) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.u1_struct_0 D)) (=> (= E B) (= (tptp.k3_rlvect_1 D E C) (tptp.k3_rlvect_1 A B C))))))))))))) (forall ((A $$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.v7_rlvect_1 A) (tptp.l2_rlvect_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_rlsub_1 C A) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 C)) (=> (= D B) (= (tptp.k5_rlvect_1 A B) (tptp.k5_rlvect_1 C D))))))))))) (forall ((A $$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 $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_rlsub_1 D A) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.u1_struct_0 D)) (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F (tptp.u1_struct_0 D)) (=> (and (= E B) (= F C)) (= (tptp.k6_rlvect_1 D E F) (tptp.k6_rlvect_1 A B C))))))))))))))) (forall ((A $$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.v7_rlvect_1 A) (tptp.l2_rlvect_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_rlsub_1 B A) (tptp.r1_rlvect_1 B (tptp.k1_rlvect_1 A)))))) (forall ((A $$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 $$unsorted)) (=> (tptp.m1_rlsub_1 B A) (forall ((C $$unsorted)) (=> (tptp.m1_rlsub_1 C A) (tptp.r1_rlvect_1 C (tptp.k1_rlvect_1 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_rlsub_1 B A) (tptp.r1_rlvect_1 A (tptp.k1_rlvect_1 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)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_rlsub_1 D A) (=> (and (tptp.r1_rlvect_1 D B) (tptp.r1_rlvect_1 D C)) (tptp.r1_rlvect_1 D (tptp.k4_rlvect_1 A B C))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v7_rlvect_1 A) (tptp.l2_rlvect_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C tptp.k1_numbers) (forall ((D $$unsorted)) (=> (tptp.m1_rlsub_1 D A) (=> (tptp.r1_rlvect_1 D B) (tptp.r1_rlvect_1 D (tptp.k3_rlvect_1 A B C))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v7_rlvect_1 A) (tptp.l2_rlvect_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_rlsub_1 C A) (=> (tptp.r1_rlvect_1 C B) (tptp.r1_rlvect_1 C (tptp.k5_rlvect_1 A B))))))))) (forall ((A $$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.v7_rlvect_1 A) (tptp.l2_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 $$unsorted)) (=> (tptp.m1_rlsub_1 D A) (=> (and (tptp.r1_rlvect_1 D B) (tptp.r1_rlvect_1 D C)) (tptp.r1_rlvect_1 D (tptp.k6_rlvect_1 A B C))))))))))) (forall ((A $$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.v7_rlvect_1 A) (tptp.l2_rlvect_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (=> (not (tptp.v1_xboole_0 C)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D C) (forall ((E $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 C C))) (=> (and (tptp.v1_funct_1 E) (tptp.v1_funct_2 E _let_1 C) (tptp.m2_relset_1 E _let_1 C)) (forall ((F $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.k2_zfmisc_1 tptp.k1_numbers C))) (=> (and (tptp.v1_funct_1 F) (tptp.v1_funct_2 F _let_2 C) (tptp.m2_relset_1 F _let_2 C)) (=> (and (= B C) (= D (tptp.k1_rlvect_1 A)) (= E (tptp.k1_realset1 (tptp.u1_rlvect_1 A) B)) (= F (tptp.k8_relset_1 (tptp.k2_zfmisc_1 tptp.k1_numbers _let_1) _let_1 (tptp.u2_rlvect_1 A) (tptp.k2_zfmisc_1 tptp.k1_numbers B)))) (tptp.m1_rlsub_1 (tptp.g2_rlvect_1 C D E F) A))))))))))))))))) (forall ((A $$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)) (tptp.m1_rlsub_1 A A))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_rlvect_1 A) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v7_rlvect_1 A) (tptp.l2_rlvect_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_rlvect_1 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)) (=> (and (tptp.m1_rlsub_1 A B) (tptp.m1_rlsub_1 B A)) (= A B)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v7_rlvect_1 A) (tptp.l2_rlvect_1 A)) (forall ((B $$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 $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.v3_rlvect_1 C) (tptp.v4_rlvect_1 C) (tptp.v5_rlvect_1 C) (tptp.v6_rlvect_1 C) (tptp.v7_rlvect_1 C) (tptp.l2_rlvect_1 C)) (=> (and (tptp.m1_rlsub_1 A B) (tptp.m1_rlsub_1 B C)) (tptp.m1_rlsub_1 A C)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v7_rlvect_1 A) (tptp.l2_rlvect_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_rlsub_1 B A) (forall ((C $$unsorted)) (=> (tptp.m1_rlsub_1 C A) (=> (tptp.r1_tarski (tptp.u1_struct_0 B) (tptp.u1_struct_0 C)) (tptp.m1_rlsub_1 B C)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v7_rlvect_1 A) (tptp.l2_rlvect_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_rlsub_1 B A) (forall ((C $$unsorted)) (=> (tptp.m1_rlsub_1 C A) (=> (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (=> (tptp.r1_rlvect_1 B D) (tptp.r1_rlvect_1 C D)))) (tptp.m1_rlsub_1 B C)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v7_rlvect_1 A) (tptp.l2_rlvect_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v2_rlvect_1 B) (tptp.m1_rlsub_1 B A)) (forall ((C $$unsorted)) (=> (and (tptp.v2_rlvect_1 C) (tptp.m1_rlsub_1 C A)) (=> (= (tptp.u1_struct_0 B) (tptp.u1_struct_0 C)) (= B C)))))))) (forall ((A $$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.v7_rlvect_1 A) (tptp.l2_rlvect_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v2_rlvect_1 B) (tptp.m1_rlsub_1 B A)) (forall ((C $$unsorted)) (=> (and (tptp.v2_rlvect_1 C) (tptp.m1_rlsub_1 C A)) (=> (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (= (tptp.r1_rlvect_1 B D) (tptp.r1_rlvect_1 C D)))) (= B C)))))))) (forall ((A $$unsorted)) (=> (and (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) (tptp.l2_rlvect_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v2_rlvect_1 B) (tptp.m1_rlsub_1 B A)) (=> (= (tptp.u1_struct_0 B) (tptp.u1_struct_0 A)) (= B A)))))) (forall ((A $$unsorted)) (=> (and (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) (tptp.l2_rlvect_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v2_rlvect_1 B) (tptp.m1_rlsub_1 B A)) (=> (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (tptp.r1_rlvect_1 B C) (tptp.r1_rlvect_1 A C)))) (= B 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.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (=> (tptp.m1_rlsub_1 C A) (=> (= (tptp.u1_struct_0 C) B) (tptp.v1_rlsub_1 B A)))))))) (forall ((A $$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 $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (not (and (not (= B tptp.k1_xboole_0)) (tptp.v1_rlsub_1 B A) (forall ((C $$unsorted)) (=> (and (tptp.v2_rlvect_1 C) (tptp.m1_rlsub_1 C A)) (not (= B (tptp.u1_struct_0 C))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v7_rlvect_1 A) (tptp.l2_rlvect_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v2_rlvect_1 B) (tptp.m1_rlsub_1 B A)) (= (= B (tptp.k1_rlsub_1 A)) (= (tptp.u1_struct_0 B) (tptp.k1_struct_0 A (tptp.k1_rlvect_1 A)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v7_rlvect_1 A) (tptp.l2_rlvect_1 A)) (= (tptp.k2_rlsub_1 A) (tptp.g2_rlvect_1 (tptp.u1_struct_0 A) (tptp.u2_struct_0 A) (tptp.u1_rlvect_1 A) (tptp.u2_rlvect_1 A))))) true true true true (forall ((A $$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.v7_rlvect_1 A) (tptp.l2_rlvect_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_rlsub_1 B A) (= (tptp.k1_rlsub_1 B) (tptp.k1_rlsub_1 A)))))) (forall ((A $$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 $$unsorted)) (=> (tptp.m1_rlsub_1 B A) (forall ((C $$unsorted)) (=> (tptp.m1_rlsub_1 C A) (= (tptp.k1_rlsub_1 B) (tptp.k1_rlsub_1 C)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v7_rlvect_1 A) (tptp.l2_rlvect_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_rlsub_1 B A) (tptp.m1_rlsub_1 (tptp.k1_rlsub_1 B) 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_rlsub_1 B A) (tptp.m1_rlsub_1 (tptp.k1_rlsub_1 A) B))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v7_rlvect_1 A) (tptp.l2_rlvect_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_rlsub_1 B A) (forall ((C $$unsorted)) (=> (tptp.m1_rlsub_1 C A) (tptp.m1_rlsub_1 (tptp.k1_rlsub_1 B) C))))))) true (forall ((A $$unsorted)) (=> (and (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) (tptp.l2_rlvect_1 A)) (tptp.m1_rlsub_1 A (tptp.k2_rlsub_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_rlsub_1 B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (tptp.m2_rlsub_1 C A B) (exists ((D $$unsorted)) (and (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (= C (tptp.k3_rlsub_1 A D B))))))))))) true true true (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v7_rlvect_1 A) (tptp.l2_rlvect_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_rlsub_1 C A) (= (tptp.r2_hidden (tptp.k1_rlvect_1 A) (tptp.k3_rlsub_1 A B C)) (tptp.r1_rlvect_1 C B)))))))) (forall ((A $$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 $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_rlsub_1 C A) (tptp.r2_hidden B (tptp.k3_rlsub_1 A B C)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v7_rlvect_1 A) (tptp.l2_rlvect_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_rlsub_1 B A) (= (tptp.k3_rlsub_1 A (tptp.k1_rlvect_1 A) B) (tptp.u1_struct_0 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.k3_rlsub_1 A B (tptp.k1_rlsub_1 A)) (tptp.k1_struct_0 A B)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v7_rlvect_1 A) (tptp.l2_rlvect_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 B _let_1) (= (tptp.k3_rlsub_1 A B (tptp.k2_rlsub_1 A)) _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)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k3_rlsub_1 A B C))) (=> (tptp.m1_rlsub_1 C A) (= (tptp.r2_hidden (tptp.k1_rlvect_1 A) _let_1) (= _let_1 (tptp.u1_struct_0 C)))))))))) (forall ((A $$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.v7_rlvect_1 A) (tptp.l2_rlvect_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_rlsub_1 C A) (= (tptp.r1_rlvect_1 C B) (= (tptp.k3_rlsub_1 A B C) (tptp.u1_struct_0 C))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v7_rlvect_1 A) (tptp.l2_rlvect_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C tptp.k1_numbers) (forall ((D $$unsorted)) (=> (tptp.m1_rlsub_1 D A) (=> (tptp.r1_rlvect_1 D B) (= (tptp.k3_rlsub_1 A (tptp.k3_rlvect_1 A B C) D) (tptp.u1_struct_0 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.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C tptp.k1_numbers) (forall ((D $$unsorted)) (=> (tptp.m1_rlsub_1 D A) (=> (= (tptp.k3_rlsub_1 A (tptp.k3_rlvect_1 A B C) D) (tptp.u1_struct_0 D)) (or (= C tptp.np__0) (tptp.r1_rlvect_1 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.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_rlsub_1 C A) (= (tptp.r1_rlvect_1 C B) (= (tptp.k3_rlsub_1 A (tptp.k5_rlvect_1 A B) C) (tptp.u1_struct_0 C))))))))) (forall ((A $$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.v7_rlvect_1 A) (tptp.l2_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 $$unsorted)) (=> (tptp.m1_rlsub_1 D A) (= (tptp.r1_rlvect_1 D B) (= (tptp.k3_rlsub_1 A C D) (tptp.k3_rlsub_1 A (tptp.k4_rlvect_1 A C B) D))))))))))) (forall ((A $$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 $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_rlsub_1 D A) (= (tptp.r1_rlvect_1 D B) (= (tptp.k3_rlsub_1 A C D) (tptp.k3_rlsub_1 A (tptp.k6_rlvect_1 A C B) D))))))))))) (forall ((A $$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 $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k3_rlsub_1 A C D))) (=> (tptp.m1_rlsub_1 D A) (= (tptp.r2_hidden B _let_1) (= _let_1 (tptp.k3_rlsub_1 A B D)))))))))))) (forall ((A $$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 $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_rlsub_1 C A) (= (= (tptp.k3_rlsub_1 A B C) (tptp.k3_rlsub_1 A (tptp.k5_rlvect_1 A B) C)) (tptp.r1_rlvect_1 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)) (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 $$unsorted)) (let ((_let_1 (tptp.k3_rlsub_1 A D E))) (let ((_let_2 (tptp.k3_rlsub_1 A C E))) (=> (tptp.m1_rlsub_1 E A) (=> (and (tptp.r2_hidden B _let_2) (tptp.r2_hidden B _let_1)) (= _let_2 _let_1)))))))))))))) (forall ((A $$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 $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_rlsub_1 D A) (=> (and (tptp.r2_hidden B (tptp.k3_rlsub_1 A C D)) (tptp.r2_hidden B (tptp.k3_rlsub_1 A (tptp.k5_rlvect_1 A C) D))) (tptp.r1_rlvect_1 D C)))))))))) (forall ((A $$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.v7_rlvect_1 A) (tptp.l2_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.k1_numbers) (forall ((D $$unsorted)) (=> (tptp.m1_rlsub_1 D A) (=> (tptp.r2_hidden (tptp.k3_rlvect_1 A B C) (tptp.k3_rlsub_1 A B D)) (or (= C tptp.np__1) (tptp.r1_rlvect_1 D B))))))))))) (forall ((A $$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 $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C tptp.k1_numbers) (forall ((D $$unsorted)) (=> (tptp.m1_rlsub_1 D A) (=> (tptp.r1_rlvect_1 D B) (tptp.r2_hidden (tptp.k3_rlvect_1 A B C) (tptp.k3_rlsub_1 A B D))))))))))) (forall ((A $$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 $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_rlsub_1 C A) (= (tptp.r2_hidden (tptp.k5_rlvect_1 A B) (tptp.k3_rlsub_1 A B C)) (tptp.r1_rlvect_1 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)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_rlsub_1 D A) (= (tptp.r2_hidden (tptp.k4_rlvect_1 A B C) (tptp.k3_rlsub_1 A C D)) (tptp.r1_rlvect_1 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.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_rlsub_1 D A) (= (tptp.r2_hidden (tptp.k6_rlvect_1 A B C) (tptp.k3_rlsub_1 A B D)) (tptp.r1_rlvect_1 D C)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v7_rlvect_1 A) (tptp.l2_rlvect_1 A)) (forall ((B $$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_rlsub_1 D A) (= (tptp.r2_hidden B (tptp.k3_rlsub_1 A C D)) (exists ((E $$unsorted)) (and (tptp.m1_subset_1 E (tptp.u1_struct_0 A)) (tptp.r1_rlvect_1 D E) (= B (tptp.k4_rlvect_1 A C E))))))))))))) (forall ((A $$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 $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_rlsub_1 D A) (= (tptp.r2_hidden B (tptp.k3_rlsub_1 A C D)) (exists ((E $$unsorted)) (and (tptp.m1_subset_1 E (tptp.u1_struct_0 A)) (tptp.r1_rlvect_1 D E) (= B (tptp.k6_rlvect_1 A C E))))))))))))) (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)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_rlsub_1 D A) (= (exists ((E $$unsorted)) (let ((_let_1 (tptp.k3_rlsub_1 A E D))) (and (tptp.m1_subset_1 E (tptp.u1_struct_0 A)) (tptp.r2_hidden B _let_1) (tptp.r2_hidden C _let_1)))) (tptp.r1_rlvect_1 D (tptp.k6_rlvect_1 A B C))))))))))) (forall ((A $$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.v7_rlvect_1 A) (tptp.l2_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 $$unsorted)) (=> (tptp.m1_rlsub_1 D A) (not (and (= (tptp.k3_rlsub_1 A B D) (tptp.k3_rlsub_1 A C D)) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.u1_struct_0 A)) (not (and (tptp.r1_rlvect_1 D E) (= (tptp.k4_rlvect_1 A B E) C))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v7_rlvect_1 A) (tptp.l2_rlvect_1 A)) (forall ((B $$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_rlsub_1 D A) (not (and (= (tptp.k3_rlsub_1 A B D) (tptp.k3_rlsub_1 A C D)) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.u1_struct_0 A)) (not (and (tptp.r1_rlvect_1 D E) (= (tptp.k6_rlvect_1 A B E) C))))))))))))))) (forall ((A $$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.v7_rlvect_1 A) (tptp.l2_rlvect_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (and (tptp.v2_rlvect_1 C) (tptp.m1_rlsub_1 C A)) (forall ((D $$unsorted)) (=> (and (tptp.v2_rlvect_1 D) (tptp.m1_rlsub_1 D A)) (= (= (tptp.k3_rlsub_1 A B C) (tptp.k3_rlsub_1 A B D)) (= C D)))))))))) (forall ((A $$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 $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (and (tptp.v2_rlvect_1 D) (tptp.m1_rlsub_1 D A)) (forall ((E $$unsorted)) (=> (and (tptp.v2_rlvect_1 E) (tptp.m1_rlsub_1 E A)) (=> (= (tptp.k3_rlsub_1 A B D) (tptp.k3_rlsub_1 A C E)) (= D E)))))))))))) (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_rlsub_1 B A) (forall ((C $$unsorted)) (=> (tptp.m2_rlsub_1 C A B) (= (tptp.v1_rlsub_1 C A) (= C (tptp.u1_struct_0 B))))))))) (forall ((A $$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 $$unsorted)) (=> (and (tptp.v2_rlvect_1 B) (tptp.m1_rlsub_1 B A)) (forall ((C $$unsorted)) (=> (and (tptp.v2_rlvect_1 C) (tptp.m1_rlsub_1 C A)) (forall ((D $$unsorted)) (=> (tptp.m2_rlsub_1 D A B) (forall ((E $$unsorted)) (=> (tptp.m2_rlsub_1 E A C) (=> (= D E) (= B C)))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v7_rlvect_1 A) (tptp.l2_rlvect_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (tptp.m2_rlsub_1 (tptp.k1_struct_0 A B) A (tptp.k1_rlsub_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.k1_zfmisc_1 (tptp.u1_struct_0 A))) (not (and (tptp.m2_rlsub_1 B A (tptp.k1_rlsub_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.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 $$unsorted)) (=> (tptp.m1_rlsub_1 B A) (tptp.m2_rlsub_1 (tptp.u1_struct_0 B) A B))))) (forall ((A $$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.v7_rlvect_1 A) (tptp.l2_rlvect_1 A)) (tptp.m2_rlsub_1 (tptp.u1_struct_0 A) A (tptp.k2_rlsub_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.u1_struct_0 A))) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 _let_1)) (=> (tptp.m2_rlsub_1 B A (tptp.k2_rlsub_1 A)) (= B _let_1))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v7_rlvect_1 A) (tptp.l2_rlvect_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_rlsub_1 B A) (forall ((C $$unsorted)) (=> (tptp.m2_rlsub_1 C A B) (= (tptp.r2_hidden (tptp.k1_rlvect_1 A) C) (= C (tptp.u1_struct_0 B))))))))) (forall ((A $$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 $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_rlsub_1 C A) (forall ((D $$unsorted)) (=> (tptp.m2_rlsub_1 D A C) (= (tptp.r2_hidden B D) (= D (tptp.k3_rlsub_1 A B C))))))))))) (forall ((A $$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.v7_rlvect_1 A) (tptp.l2_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 $$unsorted)) (=> (tptp.m1_rlsub_1 D A) (forall ((E $$unsorted)) (=> (tptp.m2_rlsub_1 E A D) (not (and (tptp.r2_hidden B E) (tptp.r2_hidden C E) (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F (tptp.u1_struct_0 A)) (not (and (tptp.r1_rlvect_1 D F) (= (tptp.k4_rlvect_1 A B F) C))))))))))))))))) (forall ((A $$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.v7_rlvect_1 A) (tptp.l2_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 $$unsorted)) (=> (tptp.m1_rlsub_1 D A) (forall ((E $$unsorted)) (=> (tptp.m2_rlsub_1 E A D) (not (and (tptp.r2_hidden B E) (tptp.r2_hidden C E) (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F (tptp.u1_struct_0 A)) (not (and (tptp.r1_rlvect_1 D F) (= (tptp.k6_rlvect_1 A B F) C))))))))))))))))) (forall ((A $$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.v7_rlvect_1 A) (tptp.l2_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 $$unsorted)) (=> (tptp.m1_rlsub_1 D A) (= (exists ((E $$unsorted)) (and (tptp.m2_rlsub_1 E A D) (tptp.r2_hidden B E) (tptp.r2_hidden C E))) (tptp.r1_rlvect_1 D (tptp.k6_rlvect_1 A B C))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v7_rlvect_1 A) (tptp.l2_rlvect_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_rlsub_1 C A) (forall ((D $$unsorted)) (=> (tptp.m2_rlsub_1 D A C) (forall ((E $$unsorted)) (=> (tptp.m2_rlsub_1 E A C) (=> (and (tptp.r2_hidden B D) (tptp.r2_hidden B E)) (= D E)))))))))))) (forall ((A $$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 $$unsorted)) (=> (tptp.m1_rlsub_1 B A) (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v7_rlvect_1 B) (tptp.l2_rlvect_1 B)))))) (forall ((A $$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)) (exists ((B $$unsorted)) (tptp.m1_rlsub_1 B A)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v7_rlvect_1 A) (tptp.l2_rlvect_1 A) (tptp.m1_rlsub_1 B A)) (forall ((C $$unsorted)) (=> (tptp.m2_rlsub_1 C A B) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))))))) (forall ((A $$unsorted) (B $$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) (tptp.m1_rlsub_1 B A)) (exists ((C $$unsorted)) (tptp.m2_rlsub_1 C A B)))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k1_rlsub_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.v7_rlvect_1 A) (tptp.l2_rlvect_1 A)) (and (tptp.v2_rlvect_1 _let_1) (tptp.m1_rlsub_1 _let_1 A))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k2_rlsub_1 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v7_rlvect_1 A) (tptp.l2_rlvect_1 A)) (and (tptp.v2_rlvect_1 _let_1) (tptp.m1_rlsub_1 _let_1 A))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.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) (tptp.m1_subset_1 B _let_1) (tptp.m1_rlsub_1 C A)) (tptp.m1_subset_1 (tptp.k3_rlsub_1 A B C) (tptp.k1_zfmisc_1 _let_1))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v7_rlvect_1 A) (tptp.l2_rlvect_1 A)) (forall ((B $$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)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_rlsub_1 B A) (tptp.v1_rlsub_1 C A) (= D (tptp.a_3_0_rlsub_1 A B C))) (tptp.v1_rlsub_1 D A)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v7_rlvect_1 A) (tptp.l2_rlvect_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_rlsub_1 C A) (= (tptp.k3_rlsub_1 A B C) (tptp.a_3_1_rlsub_1 A B C)))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B)))) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v7_rlvect_1 B) (tptp.l2_rlvect_1 B) (tptp.m1_subset_1 C _let_1) (tptp.m1_subset_1 D _let_1)) (= (tptp.r2_hidden A (tptp.a_3_0_rlsub_1 B C D)) (exists ((E $$unsorted) (F $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (and (tptp.m1_subset_1 E _let_1) (tptp.m1_subset_1 F _let_1) (= A (tptp.k4_rlvect_1 B E F)) (tptp.r2_hidden E C) (tptp.r2_hidden F D)))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v7_rlvect_1 B) (tptp.l2_rlvect_1 B) (tptp.m1_subset_1 C (tptp.u1_struct_0 B)) (tptp.m1_rlsub_1 D B)) (= (tptp.r2_hidden A (tptp.a_3_1_rlsub_1 B C D)) (exists ((E $$unsorted)) (and (tptp.m1_subset_1 E (tptp.u1_struct_0 B)) (= A (tptp.k4_rlvect_1 B C E)) (tptp.r1_rlvect_1 D E)))))) (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 $$unsorted)) (and (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (= (tptp.k1_group_1 A D B) C))))))))) (and (tptp.v4_group_1 A) (tptp.v3_group_1 A))))) (and _let_51 _let_52) (forall ((A $$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 $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (tptp.k1_group_1 A B C) (tptp.k1_group_1 A C B))))))))) true (and (not (tptp.v3_struct_0 _let_23)) _let_52 _let_51 (tptp.v7_group_1 _let_23) (tptp.l1_group_1 _let_23)) true (forall ((A $$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 $$unsorted)) (=> (= (tptp.g1_group_1 A B) (tptp.g1_group_1 C D)) (and (= A C) (= B D))))))) (and _let_50 _let_46) (and _let_50 _let_46 (tptp.v3_rlvect_1 tptp.k1_vectsp_1) (tptp.v4_rlvect_1 tptp.k1_vectsp_1) (tptp.v5_rlvect_1 tptp.k1_vectsp_1) (tptp.v6_rlvect_1 tptp.k1_vectsp_1)) (exists ((A $$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_49 _let_45) (and _let_49 _let_48 _let_45) (and _let_49 (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_48 (tptp.v4_group_1 tptp.k3_vectsp_1) (tptp.v7_group_1 tptp.k3_vectsp_1) _let_45 (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 $$unsorted)) (and (tptp.l3_vectsp_1 A) (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v2_group_1 A) (tptp.v4_group_1 A) (tptp.v7_group_1 A) (tptp.v3_vectsp_1 A) (tptp.v4_vectsp_1 A) (tptp.v5_vectsp_1 A) (tptp.v6_vectsp_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.v9_vectsp_1 A) (not (tptp.v10_vectsp_1 A)) (tptp.v13_vectsp_1 A))) true true true true true (= tptp.k1_vectsp_1 (tptp.g1_rlvect_1 tptp.k1_numbers tptp.k33_binop_2 tptp.np__0)) true true true true true (forall ((A $$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 (= 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)) 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_47 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_47 _let_47) (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_46 (tptp.l1_rlvect_1 tptp.k1_vectsp_1)) (forall ((A $$unsorted)) (=> (tptp.l1_vectsp_1 A) (tptp.m1_subset_1 (tptp.k2_vectsp_1 A) (tptp.u1_struct_0 A)))) (and _let_45 (tptp.l3_vectsp_1 tptp.k3_vectsp_1)) (forall ((A $$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 $$unsorted)) (=> (= (tptp.g4_vectsp_1 A B C D E) (tptp.g4_vectsp_1 F G H I J)) (and (= A F) (= B G) (= C H) (= D I) (= E J)))))))) (forall ((A $$unsorted)) (=> (tptp.l1_struct_0 A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 _let_1)) (= (tptp.r1_compts_1 A B C) (tptp.r1_tarski C (tptp.k5_setfam_1 _let_1 B)))))))))) (forall ((A $$unsorted)) (= (tptp.v1_compts_1 A) (and (not (= A tptp.k1_xboole_0)) (forall ((B $$unsorted)) (not (and (not (= B tptp.k1_xboole_0)) (tptp.r1_tarski B A) (tptp.v1_finset_1 B) (= (tptp.k1_setfam_1 B) tptp.k1_xboole_0))))))) (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (= (tptp.v2_compts_1 A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (not (and (tptp.r1_pre_topc A B) (tptp.v1_tops_2 B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (not (and (tptp.r1_tarski C B) (tptp.r1_pre_topc A C) (tptp.v1_finset_1 C)))))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (= (tptp.v3_compts_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)) (not (and (not (= B C)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (not (and (tptp.v3_pre_topc D A) (tptp.v3_pre_topc E A) (tptp.r2_hidden B D) (tptp.r2_hidden C E) (tptp.r1_xboole_0 D E)))))))))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (= (tptp.v4_compts_1 A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 _let_1)) (not (and (not (= C tptp.k1_xboole_0)) (tptp.v4_pre_topc C A) (tptp.r2_hidden B (tptp.k3_subset_1 _let_1 C)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (not (and (tptp.v3_pre_topc D A) (tptp.v3_pre_topc E A) (tptp.r2_hidden B D) (tptp.r1_tarski C E) (tptp.r1_xboole_0 D E))))))))))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (= (tptp.v5_compts_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))) (not (and (not (= B tptp.k1_xboole_0)) (not (= C tptp.k1_xboole_0)) (tptp.v4_pre_topc B A) (tptp.v4_pre_topc C A) (tptp.r1_xboole_0 B C) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (not (and (tptp.v3_pre_topc D A) (tptp.v3_pre_topc E A) (tptp.r1_tarski B D) (tptp.r1_tarski C E) (tptp.r1_xboole_0 D 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))) (= (tptp.v6_compts_1 B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (not (and (tptp.r1_compts_1 A C B) (tptp.v1_tops_2 C A) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (not (and (tptp.r1_tarski D C) (tptp.r1_compts_1 A D B) (tptp.v1_finset_1 D)))))))))))))) true true true true true true true true (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (tptp.v6_compts_1 (tptp.k1_pre_topc A) A))) (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (= (tptp.v2_compts_1 A) (tptp.v6_compts_1 (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 $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (tptp.r1_tarski C (tptp.k2_pre_topc B)) (= (tptp.v6_compts_1 C A) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B))) (=> (= D C) (tptp.v6_compts_1 D B)))))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (forall ((B $$unsorted)) (let ((_let_1 (= (tptp.v6_compts_1 B A) (tptp.v2_compts_1 (tptp.k3_pre_topc A B))))) (let ((_let_2 (= B tptp.k1_xboole_0))) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (and (=> _let_2 _let_1) (=> (tptp.v2_pre_topc A) (or _let_2 _let_1))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (= (tptp.v2_compts_1 A) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 _let_1))) (not (and (tptp.v1_compts_1 B) (tptp.v2_tops_2 B A) (= (tptp.k6_setfam_1 _let_1 B) tptp.k1_xboole_0))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (= (tptp.v2_compts_1 A) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 _let_1))) (not (and (not (= B tptp.k1_xboole_0)) (tptp.v2_tops_2 B A) (= (tptp.k6_setfam_1 _let_1 B) tptp.k1_xboole_0) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 _let_1))) (not (and (not (= C tptp.k1_xboole_0)) (tptp.r1_tarski C B) (tptp.v1_finset_1 C) (= (tptp.k6_setfam_1 _let_1 C) tptp.k1_xboole_0)))))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (=> (tptp.v3_compts_1 A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (tptp.v6_compts_1 B A) (or (= B tptp.k1_xboole_0) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 C _let_1) (not (and (tptp.r2_hidden C (tptp.k3_subset_1 _let_1 B)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (not (and (tptp.v3_pre_topc D A) (tptp.v3_pre_topc E A) (tptp.r2_hidden C D) (tptp.r1_tarski B E) (tptp.r1_xboole_0 D E))))))))))))))))))) (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_compts_1 A) (tptp.v6_compts_1 B A)) (tptp.v4_pre_topc 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_compts_1 A) (tptp.v4_pre_topc B A)) (tptp.v6_compts_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))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (and (tptp.v6_compts_1 B A) (tptp.r1_tarski C B) (tptp.v4_pre_topc C A)) (tptp.v6_compts_1 C A)))))))) (forall ((A $$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)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 _let_1)) (=> (and (tptp.v6_compts_1 B A) (tptp.v6_compts_1 C A)) (tptp.v6_compts_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 $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 _let_1)) (=> (and (tptp.v3_compts_1 A) (tptp.v6_compts_1 B A) (tptp.v6_compts_1 C A)) (tptp.v6_compts_1 (tptp.k5_subset_1 _let_1 B C) A))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (=> (and (tptp.v3_compts_1 A) (tptp.v2_compts_1 A)) (tptp.v4_compts_1 A)))) (forall ((A $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (=> (and (tptp.v3_compts_1 A) (tptp.v2_compts_1 A)) (tptp.v5_compts_1 A)))) (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.l1_pre_topc B)) (forall ((C $$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)) (=> (and (tptp.v2_compts_1 A) (tptp.v5_pre_topc C A B) (= (tptp.k2_relat_1 C) (tptp.k2_pre_topc B))) (tptp.v2_compts_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))) (forall ((C $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.l1_pre_topc C)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 C))) (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)) (=> (and (tptp.v5_pre_topc D A C) (= (tptp.k2_relat_1 D) (tptp.k2_pre_topc C)) (tptp.v6_compts_1 B A)) (tptp.v6_compts_1 (tptp.k4_pre_topc A C D B) C)))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_pre_topc B) (tptp.l1_pre_topc B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.m2_relset_1 C _let_2 _let_1)) (=> (and (tptp.v2_compts_1 A) (tptp.v3_compts_1 B) (= (tptp.k2_relat_1 C) (tptp.k2_pre_topc B)) (tptp.v5_pre_topc C A B)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (tptp.v4_pre_topc D A) (tptp.v4_pre_topc (tptp.k4_pre_topc A B C D) B))))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_pre_topc B) (tptp.l1_pre_topc B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.m2_relset_1 C _let_2 _let_1)) (=> (and (tptp.v2_compts_1 A) (tptp.v3_compts_1 B) (= (tptp.k1_relat_1 C) (tptp.k2_pre_topc A)) (= (tptp.k2_relat_1 C) (tptp.k2_pre_topc B)) (tptp.v2_funct_1 C) (tptp.v5_pre_topc C A B)) (tptp.v3_tops_2 C A B)))))))))) (exists ((A $$unsorted)) (and (tptp.l1_orders_2 A) (tptp.v1_orders_2 A))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.g1_orders_2 A B))) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.m1_relset_1 B A A)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v1_orders_2 _let_1))))) (exists ((A $$unsorted)) (and (tptp.l1_orders_2 A) (not (tptp.v3_struct_0 A)) (tptp.v1_orders_2 A) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.u1_orders_2 A))) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.l1_orders_2 A)) (and (tptp.v1_relat_1 _let_2) (tptp.v1_relat_2 _let_2) (tptp.v4_relat_2 _let_2) (tptp.v8_relat_2 _let_2) (tptp.v1_partfun1 _let_2 _let_1 _let_1)))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.g1_orders_2 A B))) (=> (and (tptp.v1_relat_2 B) (tptp.v4_relat_2 B) (tptp.v8_relat_2 B) (tptp.v1_partfun1 B A A) (tptp.m1_relset_1 B A A)) (and (tptp.v1_orders_2 _let_1) (tptp.v2_orders_2 _let_1) (tptp.v3_orders_2 _let_1) (tptp.v4_orders_2 _let_1))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k1_pre_topc A))) (=> (tptp.l1_orders_2 A) (and (tptp.v1_xboole_0 _let_1) (tptp.v1_membered _let_1) (tptp.v2_membered _let_1) (tptp.v3_membered _let_1) (tptp.v4_membered _let_1) (tptp.v5_membered _let_1) (tptp.v5_orders_2 _let_1 A))))) (forall ((A $$unsorted)) (=> (tptp.l1_orders_2 A) (exists ((B $$unsorted)) (and (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (tptp.v5_orders_2 B A))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.l1_orders_2 A) (tptp.m1_orders_1 B (tptp.k1_orders_1 (tptp.u1_struct_0 A)))) (not (tptp.v1_xboole_0 (tptp.k4_orders_2 A B))))) true true true (forall ((A $$unsorted)) (=> (tptp.l1_orders_2 A) (= (tptp.v2_orders_2 A) (tptp.r1_relat_2 (tptp.u1_orders_2 A) (tptp.u1_struct_0 A))))) (forall ((A $$unsorted)) (=> (tptp.l1_orders_2 A) (= (tptp.v3_orders_2 A) (tptp.r8_relat_2 (tptp.u1_orders_2 A) (tptp.u1_struct_0 A))))) (forall ((A $$unsorted)) (=> (tptp.l1_orders_2 A) (= (tptp.v4_orders_2 A) (tptp.r4_relat_2 (tptp.u1_orders_2 A) (tptp.u1_struct_0 A))))) true true (forall ((A $$unsorted)) (=> (tptp.l1_orders_2 A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (tptp.r1_orders_2 A B C) (tptp.r2_hidden (tptp.k4_tarski B C) (tptp.u1_orders_2 A))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_orders_2 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_orders_2 A B C) (and (tptp.r1_orders_2 A B C) (not (= B C)))))))))) true true true true true true true true true true true true true true true true true true true true true true true (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (tptp.r1_orders_2 A B B))))) (forall ((A $$unsorted)) (=> (and (tptp.v4_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (=> (and (tptp.r1_orders_2 A B C) (tptp.r1_orders_2 A C B)) (= B C)))))))) (forall ((A $$unsorted)) (=> (and (tptp.v3_orders_2 A) (tptp.l1_orders_2 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 $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (=> (and (tptp.r1_orders_2 A B C) (tptp.r1_orders_2 A C D)) (tptp.r1_orders_2 A B D)))))))))) true (forall ((A $$unsorted)) (=> (and (tptp.v4_orders_2 A) (tptp.l1_orders_2 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 (tptp.r2_orders_2 A B C) (tptp.r2_orders_2 A C B))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$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.r2_orders_2 A B C) (tptp.r2_orders_2 A C D)) (tptp.r2_orders_2 A B D)))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v4_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (not (and (tptp.r1_orders_2 A B C) (tptp.r2_orders_2 A C B))))))))) true (forall ((A $$unsorted)) (=> (and (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.l1_orders_2 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 $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (=> (or (and (tptp.r2_orders_2 A B C) (tptp.r1_orders_2 A C D)) (and (tptp.r1_orders_2 A B C) (tptp.r2_orders_2 A C D))) (tptp.r2_orders_2 A B D)))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_orders_2 A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (tptp.v5_orders_2 B A) (tptp.r7_relat_2 (tptp.u1_orders_2 A) B)))))) true true (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.k1_struct_0 A B))) (=> (tptp.m1_subset_1 B _let_1) (and (tptp.v5_orders_2 _let_2 A) (tptp.m1_subset_1 _let_2 (tptp.k1_zfmisc_1 _let_1))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.l1_orders_2 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))) (let ((_let_2 (tptp.k2_struct_0 A B C))) (=> (tptp.m1_subset_1 C _let_1) (= (and (tptp.v5_orders_2 _let_2 A) (tptp.m1_subset_1 _let_2 (tptp.k1_zfmisc_1 _let_1))) (or (tptp.r3_orders_2 A B C) (tptp.r3_orders_2 A C B))))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_orders_2 A) (forall ((B $$unsorted)) (=> (and (tptp.v5_orders_2 B A) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (forall ((C $$unsorted)) (let ((_let_1 (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))))) (=> _let_1 (=> (tptp.r1_tarski C B) (and (tptp.v5_orders_2 C A) _let_1))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.r1_orders_2 A C B))) (let ((_let_2 (tptp.r1_orders_2 A B C))) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (and (not (and (exists ((D $$unsorted)) (and (tptp.v5_orders_2 D A) (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (tptp.r2_hidden B D) (tptp.r2_hidden C D))) (not _let_2) (not _let_1))) (not (and (or _let_2 _let_1) (forall ((D $$unsorted)) (=> (and (tptp.v5_orders_2 D A) (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (not (and (tptp.r2_hidden B D) (tptp.r2_hidden C D)))))))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v4_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$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.v5_orders_2 D A) (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (tptp.r2_hidden B D) (tptp.r2_hidden C D))) (= (tptp.r2_orders_2 A B C) (not (tptp.r1_orders_2 A C B)))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_orders_2 A) (forall ((B $$unsorted)) (let ((_let_1 (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))))) (=> _let_1 (=> (tptp.r2_wellord1 (tptp.u1_orders_2 A) B) (and (tptp.v5_orders_2 B A) _let_1))))))) true true (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.l1_orders_2 A)) (= (tptp.k1_orders_2 A (tptp.k1_pre_topc A)) (tptp.u1_struct_0 A)))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.l1_orders_2 A)) (= (tptp.k1_orders_2 A (tptp.k2_pre_topc A)) tptp.k1_xboole_0))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.l1_orders_2 A)) (= (tptp.k2_orders_2 A (tptp.k1_pre_topc A)) (tptp.u1_struct_0 A)))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.l1_orders_2 A)) (= (tptp.k2_orders_2 A (tptp.k2_pre_topc A)) tptp.k1_xboole_0))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (not (and (tptp.r2_hidden B C) (tptp.r2_hidden B (tptp.k1_orders_2 A C)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (not (tptp.r2_hidden B (tptp.k1_orders_2 A (tptp.k1_struct_0 A B)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (not (and (tptp.r2_hidden B C) (tptp.r2_hidden B (tptp.k2_orders_2 A C)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (not (tptp.r2_hidden B (tptp.k2_orders_2 A (tptp.k1_struct_0 A B)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (tptp.r2_orders_2 A B C) (tptp.r2_hidden C (tptp.k1_orders_2 A (tptp.k1_struct_0 A B)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.l1_orders_2 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_orders_2 A B C) (tptp.r2_hidden B (tptp.k2_orders_2 A (tptp.k1_struct_0 A C)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 C _let_1) (= (tptp.k3_orders_2 A B C) (tptp.k5_subset_1 _let_1 (tptp.k2_orders_2 A (tptp.k1_struct_0 A C)) B))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.l1_orders_2 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.m1_orders_2 C A B))) (let ((_let_2 (= B tptp.k1_xboole_0))) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (and (=> (not _let_2) (= _let_1 (exists ((D $$unsorted)) (and (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (tptp.r2_hidden D B) (= C (tptp.k3_orders_2 A B D)))))) (=> _let_2 (= _let_1 (= C tptp.k1_xboole_0)))))))))))) true true true (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.l1_orders_2 B)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 B)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B))) (= (tptp.r2_hidden A (tptp.k3_orders_2 B D C)) (and (tptp.r2_hidden A (tptp.k2_orders_2 B (tptp.k1_struct_0 B C))) (tptp.r2_hidden A D))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.l1_orders_2 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 $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (tptp.r2_hidden B (tptp.k3_orders_2 A D C)) (and (tptp.r2_orders_2 A B C) (tptp.r2_hidden B D))))))))))) true true (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (= (tptp.k3_orders_2 A (tptp.k1_pre_topc A) B) tptp.k1_xboole_0))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (tptp.r1_tarski (tptp.k3_orders_2 A C B) C))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (not (tptp.r2_hidden B (tptp.k3_orders_2 A C B))))))))) true (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.l1_orders_2 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 $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (tptp.r2_orders_2 A B C) (tptp.r1_tarski (tptp.k3_orders_2 A D B) (tptp.k3_orders_2 A D C))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (tptp.r1_tarski C D) (tptp.r1_tarski (tptp.k3_orders_2 A C B) (tptp.k3_orders_2 A D B))))))))))) true (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (=> (tptp.m1_orders_2 C A B) (tptp.r1_tarski C B))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (let ((_let_1 (= B tptp.k1_xboole_0))) (let ((_let_2 (tptp.m1_orders_2 B A B))) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (and (not (and (not _let_1) _let_2)) (not (and (not _let_2) _let_1))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (not (and (not (and (= B tptp.k1_xboole_0) (= C tptp.k1_xboole_0))) (tptp.m1_orders_2 B A C) (tptp.m1_orders_2 C A B))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.l1_orders_2 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 $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (and (tptp.r2_orders_2 A B C) (tptp.r2_hidden B D) (tptp.r2_hidden C E) (tptp.m1_orders_2 E A D)) (tptp.r2_hidden B E)))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (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.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (and (tptp.r2_hidden B C) (tptp.m1_orders_2 C A D)) (= (tptp.k3_orders_2 A C B) (tptp.k3_orders_2 A D B))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (not (and (tptp.r1_tarski B C) (tptp.r2_wellord1 (tptp.u1_orders_2 A) C) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.u1_struct_0 A)) (=> (and (tptp.r2_hidden E B) (tptp.r2_orders_2 A D E)) (tptp.r2_hidden D B)))))) (not (= B C)) (not (tptp.m1_orders_2 B A C)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.l1_orders_2 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))) (not (and (tptp.r1_tarski B C) (tptp.r2_wellord1 (tptp.u1_orders_2 A) C) (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.r2_hidden E B) (tptp.r2_hidden D C) (tptp.r2_orders_2 A D E)) (tptp.r2_hidden D B)))))) (not (= B C)) (not (tptp.m1_orders_2 B A C)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_orders_1 B (tptp.k1_orders_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (=> (and (tptp.v5_orders_2 C A) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (= (tptp.m2_orders_2 C A B) (and (not (= C tptp.k1_xboole_0)) (tptp.r2_wellord1 (tptp.u1_orders_2 A) C) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (=> (tptp.r2_hidden D C) (= (tptp.k1_funct_1 B (tptp.k1_orders_2 A (tptp.k3_orders_2 A C D))) D)))))))))))) true true true true (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_orders_1 B (tptp.k1_orders_1 _let_1)) (tptp.m2_orders_2 (tptp.k1_tarski (tptp.k1_funct_1 B _let_1)) A B)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_orders_1 B (tptp.k1_orders_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (=> (tptp.m2_orders_2 C A B) (tptp.r2_hidden (tptp.k1_funct_1 B (tptp.u1_struct_0 A)) C))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.l1_orders_2 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 $$unsorted)) (=> (tptp.m1_orders_1 D (tptp.k1_orders_1 (tptp.u1_struct_0 A))) (forall ((E $$unsorted)) (=> (tptp.m2_orders_2 E A D) (=> (and (tptp.r2_hidden B E) (= C (tptp.k1_funct_1 D (tptp.u1_struct_0 A)))) (tptp.r3_orders_2 A C B)))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_orders_1 C (tptp.k1_orders_1 (tptp.u1_struct_0 A))) (forall ((D $$unsorted)) (=> (tptp.m2_orders_2 D A C) (=> (= B (tptp.k1_funct_1 C (tptp.u1_struct_0 A))) (= (tptp.k3_orders_2 A D B) tptp.k1_xboole_0)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_orders_1 B (tptp.k1_orders_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (=> (tptp.m2_orders_2 C A B) (forall ((D $$unsorted)) (=> (tptp.m2_orders_2 D A B) (not (tptp.r1_xboole_0 C D)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_orders_1 B (tptp.k1_orders_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (=> (tptp.m2_orders_2 C A B) (forall ((D $$unsorted)) (=> (tptp.m2_orders_2 D A B) (=> (not (= C D)) (= (tptp.m1_orders_2 C A D) (not (tptp.m1_orders_2 D A C)))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_orders_1 B (tptp.k1_orders_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (=> (tptp.m2_orders_2 C A B) (forall ((D $$unsorted)) (=> (tptp.m2_orders_2 D A B) (= (tptp.r2_xboole_0 C D) (tptp.m1_orders_2 C A D)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_orders_1 B (tptp.k1_orders_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (= (= C (tptp.k4_orders_2 A B)) (forall ((D $$unsorted)) (= (tptp.r2_hidden D C) (tptp.m2_orders_2 D A B))))))))) true true (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_orders_1 B (tptp.k1_orders_1 (tptp.u1_struct_0 A))) (not (= (tptp.k3_tarski (tptp.k4_orders_2 A B)) tptp.k1_xboole_0)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (=> (tptp.m1_orders_1 C (tptp.k1_orders_1 (tptp.u1_struct_0 A))) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k3_tarski (tptp.k4_orders_2 A C)))) (=> (tptp.m2_orders_2 D A C) (=> (= B _let_1) (or (= D _let_1) (tptp.m1_orders_2 D A B)))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_orders_1 B (tptp.k1_orders_1 (tptp.u1_struct_0 A))) (tptp.m2_orders_2 (tptp.k3_tarski (tptp.k4_orders_2 A B)) A B))))) true true true true true true true true true true true true true true true true true (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (tptp.k3_relat_1 (tptp.k2_wellord1 (tptp.u1_orders_2 A) B)) B))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))))) (=> _let_1 (=> (tptp.v3_orders_1 (tptp.k2_wellord1 (tptp.u1_orders_2 A) B)) (and (tptp.v5_orders_2 B A) _let_1))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (tptp.v5_orders_2 B A) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (tptp.v3_orders_1 (tptp.k2_wellord1 (tptp.u1_orders_2 A) B)))))) 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 (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))))) (=> _let_1 (=> (tptp.r3_orders_1 (tptp.u1_orders_2 A) B) (and (tptp.v5_orders_2 B A) _let_1))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (tptp.v5_orders_2 B A) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (tptp.r3_orders_1 (tptp.u1_orders_2 A) B))))) true true true true true true true true true true true true true true true true true true true true true (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (= (tptp.r7_orders_1 (tptp.u1_orders_2 A) B) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (not (tptp.r2_orders_2 A C B))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (= (tptp.r6_orders_1 (tptp.u1_orders_2 A) B) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (not (tptp.r2_orders_2 A B C))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (= (tptp.r8_orders_1 (tptp.u1_orders_2 A) B) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (=> (not (= B C)) (tptp.r2_orders_2 A C B))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (= (tptp.r9_orders_1 (tptp.u1_orders_2 A) B) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (=> (not (= B C)) (tptp.r2_orders_2 A B C))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.l1_orders_2 A)) (not (and (forall ((B $$unsorted)) (=> (and (tptp.v5_orders_2 B A) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (exists ((C $$unsorted)) (and (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (=> (tptp.r2_hidden D B) (tptp.r3_orders_2 A D C)))))))) (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_orders_2 A B C))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.l1_orders_2 A)) (not (and (forall ((B $$unsorted)) (=> (and (tptp.v5_orders_2 B A) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (exists ((C $$unsorted)) (and (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (=> (tptp.r2_hidden D B) (tptp.r3_orders_2 A C D)))))))) (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_orders_2 A C B))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.l1_orders_2 A) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (forall ((C $$unsorted)) (=> (tptp.m1_orders_2 C A B) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.l1_orders_2 A) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (exists ((C $$unsorted)) (tptp.m1_orders_2 C A B)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.l1_orders_2 A) (tptp.m1_orders_1 B (tptp.k1_orders_1 (tptp.u1_struct_0 A)))) (forall ((C $$unsorted)) (=> (tptp.m2_orders_2 C A B) (and (tptp.v5_orders_2 C A) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.l1_orders_2 A) (tptp.m1_orders_1 B (tptp.k1_orders_1 (tptp.u1_struct_0 A)))) (exists ((C $$unsorted)) (tptp.m2_orders_2 C A B)))) (forall ((A $$unsorted)) (=> (tptp.l1_orders_2 A) (tptp.l1_struct_0 A))) (exists ((A $$unsorted)) (tptp.l1_orders_2 A)) (forall ((A $$unsorted)) (=> (tptp.l1_orders_2 A) (=> (tptp.v1_orders_2 A) (= A (tptp.g1_orders_2 (tptp.u1_struct_0 A) (tptp.u1_orders_2 A)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (tptp.l1_orders_2 A) (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (not (tptp.r2_orders_2 A B B))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.l1_orders_2 A) (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (tptp.r3_orders_2 A B B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.l1_orders_2 A) (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (= (tptp.r3_orders_2 A B C) (tptp.r1_orders_2 A B C))))) (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.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.l1_orders_2 A) (tptp.m1_subset_1 B _let_1)) (tptp.m1_subset_1 (tptp.k1_orders_2 A B) _let_1)))) (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.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.l1_orders_2 A) (tptp.m1_subset_1 B _let_1)) (tptp.m1_subset_1 (tptp.k2_orders_2 A B) _let_1)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.k1_zfmisc_1 _let_1))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.l1_orders_2 A) (tptp.m1_subset_1 B _let_2) (tptp.m1_subset_1 C _let_1)) (tptp.m1_subset_1 (tptp.k3_orders_2 A B C) _let_2))))) true (forall ((A $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.l1_orders_2 A) (tptp.m2_relset_1 (tptp.u1_orders_2 A) _let_1 _let_1)))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.g1_orders_2 A B))) (=> (tptp.m1_relset_1 B A A) (and (tptp.v1_orders_2 _let_1) (tptp.l1_orders_2 _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_relset_1 B A A) (forall ((C $$unsorted) (D $$unsorted)) (=> (= (tptp.g1_orders_2 A B) (tptp.g1_orders_2 C D)) (and (= A C) (= B D)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (tptp.k1_orders_2 A B) (tptp.a_2_0_orders_2 A B)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (tptp.k2_orders_2 A B) (tptp.a_2_1_orders_2 A B)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.l1_orders_2 B) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B)))) (= (tptp.r2_hidden A (tptp.a_2_0_orders_2 B C)) (exists ((D $$unsorted)) (and (tptp.m1_subset_1 D (tptp.u1_struct_0 B)) (= A D) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.u1_struct_0 B)) (=> (tptp.r2_hidden E C) (tptp.r2_orders_2 B E D))))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.l1_orders_2 B) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B)))) (= (tptp.r2_hidden A (tptp.a_2_1_orders_2 B C)) (exists ((D $$unsorted)) (and (tptp.m1_subset_1 D (tptp.u1_struct_0 B)) (= A D) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.u1_struct_0 B)) (=> (tptp.r2_hidden E C) (tptp.r2_orders_2 B D E))))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k12_funcsdom A))) (=> (not (tptp.v1_xboole_0 A)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v3_vectsp_1 _let_1))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k12_funcsdom A))) (=> (not (tptp.v1_xboole_0 A)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v2_group_1 _let_1) (tptp.v3_vectsp_1 _let_1) (tptp.v6_vectsp_1 _let_1) (tptp.v8_vectsp_1 _let_1))))) (exists ((A $$unsorted)) (and (tptp.l3_vectsp_1 A) (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v7_group_1 A) (tptp.v3_vectsp_1 A) (tptp.v4_vectsp_1 A) (tptp.v6_vectsp_1 A))) (exists ((A $$unsorted)) (and (tptp.l1_funcsdom A) (tptp.v1_funcsdom A))) (exists ((A $$unsorted)) (and (tptp.l1_funcsdom A) (not (tptp.v3_struct_0 A)))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k13_funcsdom A))) (=> (not (tptp.v1_xboole_0 A)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v1_funcsdom _let_1))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k13_funcsdom A))) (=> (not (tptp.v1_xboole_0 A)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v2_group_1 _let_1) (tptp.v6_vectsp_1 _let_1) (tptp.v8_vectsp_1 _let_1) (tptp.v1_funcsdom _let_1))))) (exists ((A $$unsorted)) (and (tptp.l1_funcsdom 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.v4_group_1 A) (tptp.v7_group_1 A) (tptp.v1_funcsdom A) (tptp.v2_funcsdom A))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C A B) (tptp.m2_relset_1 C A B)) (= (tptp.k3_funcsdom A B C) C))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k1_fraenkel A tptp.k1_numbers))) (let ((_let_2 (tptp.k2_zfmisc_1 _let_1 _let_1))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_2 _let_1) (tptp.m2_relset_1 B _let_2 _let_1)) (= (= B (tptp.k6_funcsdom A)) (forall ((C $$unsorted)) (=> (tptp.m2_fraenkel C A tptp.k1_numbers (tptp.k1_fraenkel A tptp.k1_numbers)) (forall ((D $$unsorted)) (=> (tptp.m2_fraenkel D A tptp.k1_numbers (tptp.k1_fraenkel A tptp.k1_numbers)) (= (tptp.k1_funcsdom A tptp.k1_numbers B C D) (tptp.k4_funcsdom tptp.k1_numbers A tptp.k33_binop_2 C D))))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k1_fraenkel A tptp.k1_numbers))) (let ((_let_2 (tptp.k2_zfmisc_1 _let_1 _let_1))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_2 _let_1) (tptp.m2_relset_1 B _let_2 _let_1)) (= (= B (tptp.k7_funcsdom A)) (forall ((C $$unsorted)) (=> (tptp.m2_fraenkel C A tptp.k1_numbers (tptp.k1_fraenkel A tptp.k1_numbers)) (forall ((D $$unsorted)) (=> (tptp.m2_fraenkel D A tptp.k1_numbers (tptp.k1_fraenkel A tptp.k1_numbers)) (= (tptp.k1_funcsdom A tptp.k1_numbers B C D) (tptp.k4_funcsdom tptp.k1_numbers A tptp.k35_binop_2 C D))))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k1_fraenkel A tptp.k1_numbers))) (let ((_let_2 (tptp.k2_zfmisc_1 tptp.k1_numbers _let_1))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_2 _let_1) (tptp.m2_relset_1 B _let_2 _let_1)) (= (= B (tptp.k8_funcsdom A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C tptp.k1_numbers) (forall ((D $$unsorted)) (=> (tptp.m2_fraenkel D A tptp.k1_numbers (tptp.k1_fraenkel A tptp.k1_numbers)) (forall ((E $$unsorted)) (let ((_let_1 (tptp.k1_fraenkel A tptp.k1_numbers))) (=> (tptp.m1_subset_1 E A) (= (tptp.k8_funct_2 A tptp.k1_numbers (tptp.k2_funcsdom A tptp.k1_numbers tptp.k1_numbers _let_1 B (tptp.k1_domain_1 tptp.k1_numbers _let_1 C D)) E) (tptp.k4_real_1 C (tptp.k8_funct_2 A tptp.k1_numbers D E))))))))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (= (tptp.k9_funcsdom A) (tptp.k2_funcop_1 A tptp.np__0)))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (= (tptp.k10_funcsdom A) (tptp.k2_funcop_1 A tptp.np__1)))) true true true true true true true true true (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (tptp.m2_fraenkel B A tptp.k1_numbers (tptp.k1_fraenkel A tptp.k1_numbers)) (forall ((C $$unsorted)) (=> (tptp.m2_fraenkel C A tptp.k1_numbers (tptp.k1_fraenkel A tptp.k1_numbers)) (forall ((D $$unsorted)) (=> (tptp.m2_fraenkel D A tptp.k1_numbers (tptp.k1_fraenkel A tptp.k1_numbers)) (= (= B (tptp.k1_funcsdom A tptp.k1_numbers (tptp.k6_funcsdom A) C D)) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E A) (= (tptp.k8_funct_2 A tptp.k1_numbers B E) (tptp.k3_real_1 (tptp.k8_funct_2 A tptp.k1_numbers C E) (tptp.k8_funct_2 A tptp.k1_numbers D E)))))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (tptp.m2_fraenkel B A tptp.k1_numbers (tptp.k1_fraenkel A tptp.k1_numbers)) (forall ((C $$unsorted)) (=> (tptp.m2_fraenkel C A tptp.k1_numbers (tptp.k1_fraenkel A tptp.k1_numbers)) (forall ((D $$unsorted)) (=> (tptp.m2_fraenkel D A tptp.k1_numbers (tptp.k1_fraenkel A tptp.k1_numbers)) (= (= B (tptp.k1_funcsdom A tptp.k1_numbers (tptp.k7_funcsdom A) C D)) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E A) (= (tptp.k8_funct_2 A tptp.k1_numbers B E) (tptp.k4_real_1 (tptp.k8_funct_2 A tptp.k1_numbers C E) (tptp.k8_funct_2 A tptp.k1_numbers D E)))))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B A) (= (tptp.k8_funct_2 A tptp.k1_numbers (tptp.k10_funcsdom A) B) tptp.np__1))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B A) (= (tptp.k8_funct_2 A tptp.k1_numbers (tptp.k9_funcsdom A) B) tptp.np__0))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (not (= (tptp.k9_funcsdom A) (tptp.k10_funcsdom A))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (tptp.m2_fraenkel B A tptp.k1_numbers (tptp.k1_fraenkel A tptp.k1_numbers)) (forall ((C $$unsorted)) (=> (tptp.m2_fraenkel C A tptp.k1_numbers (tptp.k1_fraenkel A tptp.k1_numbers)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k1_fraenkel A tptp.k1_numbers))) (=> (tptp.m1_subset_1 D tptp.k1_numbers) (= (= B (tptp.k2_funcsdom A tptp.k1_numbers tptp.k1_numbers _let_1 (tptp.k8_funcsdom A) (tptp.k1_domain_1 tptp.k1_numbers _let_1 D C))) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E A) (= (tptp.k8_funct_2 A tptp.k1_numbers B E) (tptp.k4_real_1 D (tptp.k8_funct_2 A tptp.k1_numbers C E))))))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (tptp.m2_fraenkel B A tptp.k1_numbers (tptp.k1_fraenkel A tptp.k1_numbers)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k6_funcsdom A))) (=> (tptp.m2_fraenkel C A tptp.k1_numbers (tptp.k1_fraenkel A tptp.k1_numbers)) (= (tptp.k1_funcsdom A tptp.k1_numbers _let_1 B C) (tptp.k1_funcsdom A tptp.k1_numbers _let_1 C B))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (tptp.m2_fraenkel B A tptp.k1_numbers (tptp.k1_fraenkel A tptp.k1_numbers)) (forall ((C $$unsorted)) (=> (tptp.m2_fraenkel C A tptp.k1_numbers (tptp.k1_fraenkel A tptp.k1_numbers)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k6_funcsdom A))) (=> (tptp.m2_fraenkel D A tptp.k1_numbers (tptp.k1_fraenkel A tptp.k1_numbers)) (= (tptp.k1_funcsdom A tptp.k1_numbers _let_1 B (tptp.k1_funcsdom A tptp.k1_numbers _let_1 C D)) (tptp.k1_funcsdom A tptp.k1_numbers _let_1 (tptp.k1_funcsdom A tptp.k1_numbers _let_1 B C) D))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (tptp.m2_fraenkel B A tptp.k1_numbers (tptp.k1_fraenkel A tptp.k1_numbers)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k7_funcsdom A))) (=> (tptp.m2_fraenkel C A tptp.k1_numbers (tptp.k1_fraenkel A tptp.k1_numbers)) (= (tptp.k1_funcsdom A tptp.k1_numbers _let_1 B C) (tptp.k1_funcsdom A tptp.k1_numbers _let_1 C B))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (tptp.m2_fraenkel B A tptp.k1_numbers (tptp.k1_fraenkel A tptp.k1_numbers)) (forall ((C $$unsorted)) (=> (tptp.m2_fraenkel C A tptp.k1_numbers (tptp.k1_fraenkel A tptp.k1_numbers)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k7_funcsdom A))) (=> (tptp.m2_fraenkel D A tptp.k1_numbers (tptp.k1_fraenkel A tptp.k1_numbers)) (= (tptp.k1_funcsdom A tptp.k1_numbers _let_1 B (tptp.k1_funcsdom A tptp.k1_numbers _let_1 C D)) (tptp.k1_funcsdom A tptp.k1_numbers _let_1 (tptp.k1_funcsdom A tptp.k1_numbers _let_1 B C) D))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (tptp.m2_fraenkel B A tptp.k1_numbers (tptp.k1_fraenkel A tptp.k1_numbers)) (= (tptp.k1_funcsdom A tptp.k1_numbers (tptp.k7_funcsdom A) (tptp.k10_funcsdom A) B) B))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (tptp.m2_fraenkel B A tptp.k1_numbers (tptp.k1_fraenkel A tptp.k1_numbers)) (= (tptp.k1_funcsdom A tptp.k1_numbers (tptp.k6_funcsdom A) (tptp.k9_funcsdom A) B) B))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k1_fraenkel A tptp.k1_numbers))) (=> (tptp.m2_fraenkel B A tptp.k1_numbers _let_1) (= (tptp.k1_funcsdom A tptp.k1_numbers (tptp.k6_funcsdom A) B (tptp.k2_funcsdom A tptp.k1_numbers tptp.k1_numbers _let_1 (tptp.k8_funcsdom A) (tptp.k1_domain_1 tptp.k1_numbers _let_1 (tptp.k1_real_1 tptp.np__1) B))) (tptp.k9_funcsdom A))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k1_fraenkel A tptp.k1_numbers))) (=> (tptp.m2_fraenkel B A tptp.k1_numbers _let_1) (= (tptp.k2_funcsdom A tptp.k1_numbers tptp.k1_numbers _let_1 (tptp.k8_funcsdom A) (tptp.k1_domain_1 tptp.k1_numbers _let_1 tptp.np__1 B)) B)))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (tptp.m2_fraenkel B A tptp.k1_numbers (tptp.k1_fraenkel A tptp.k1_numbers)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C tptp.k1_numbers) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k1_fraenkel A tptp.k1_numbers))) (let ((_let_2 (tptp.k8_funcsdom A))) (=> (tptp.m1_subset_1 D tptp.k1_numbers) (= (tptp.k2_funcsdom A tptp.k1_numbers tptp.k1_numbers _let_1 _let_2 (tptp.k1_domain_1 tptp.k1_numbers _let_1 C (tptp.k2_funcsdom A tptp.k1_numbers tptp.k1_numbers _let_1 _let_2 (tptp.k1_domain_1 tptp.k1_numbers _let_1 D B)))) (tptp.k2_funcsdom A tptp.k1_numbers tptp.k1_numbers _let_1 _let_2 (tptp.k1_domain_1 tptp.k1_numbers _let_1 (tptp.k4_real_1 C D) B))))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (tptp.m2_fraenkel B A tptp.k1_numbers (tptp.k1_fraenkel A tptp.k1_numbers)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C tptp.k1_numbers) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k1_fraenkel A tptp.k1_numbers))) (let ((_let_2 (tptp.k8_funcsdom A))) (=> (tptp.m1_subset_1 D tptp.k1_numbers) (= (tptp.k1_funcsdom A tptp.k1_numbers (tptp.k6_funcsdom A) (tptp.k2_funcsdom A tptp.k1_numbers tptp.k1_numbers _let_1 _let_2 (tptp.k1_domain_1 tptp.k1_numbers _let_1 C B)) (tptp.k2_funcsdom A tptp.k1_numbers tptp.k1_numbers _let_1 _let_2 (tptp.k1_domain_1 tptp.k1_numbers _let_1 D B))) (tptp.k2_funcsdom A tptp.k1_numbers tptp.k1_numbers _let_1 _let_2 (tptp.k1_domain_1 tptp.k1_numbers _let_1 (tptp.k3_real_1 C D) B))))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (tptp.m2_fraenkel B A tptp.k1_numbers (tptp.k1_fraenkel A tptp.k1_numbers)) (forall ((C $$unsorted)) (=> (tptp.m2_fraenkel C A tptp.k1_numbers (tptp.k1_fraenkel A tptp.k1_numbers)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k7_funcsdom A))) (let ((_let_2 (tptp.k6_funcsdom A))) (=> (tptp.m2_fraenkel D A tptp.k1_numbers (tptp.k1_fraenkel A tptp.k1_numbers)) (= (tptp.k1_funcsdom A tptp.k1_numbers _let_1 B (tptp.k1_funcsdom A tptp.k1_numbers _let_2 C D)) (tptp.k1_funcsdom A tptp.k1_numbers _let_2 (tptp.k1_funcsdom A tptp.k1_numbers _let_1 B C) (tptp.k1_funcsdom A tptp.k1_numbers _let_1 B D))))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (tptp.m2_fraenkel B A tptp.k1_numbers (tptp.k1_fraenkel A tptp.k1_numbers)) (forall ((C $$unsorted)) (=> (tptp.m2_fraenkel C A tptp.k1_numbers (tptp.k1_fraenkel A tptp.k1_numbers)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k7_funcsdom A))) (let ((_let_2 (tptp.k1_fraenkel A tptp.k1_numbers))) (let ((_let_3 (tptp.k8_funcsdom A))) (=> (tptp.m1_subset_1 D tptp.k1_numbers) (= (tptp.k1_funcsdom A tptp.k1_numbers _let_1 (tptp.k2_funcsdom A tptp.k1_numbers tptp.k1_numbers _let_2 _let_3 (tptp.k1_domain_1 tptp.k1_numbers _let_2 D B)) C) (tptp.k2_funcsdom A tptp.k1_numbers tptp.k1_numbers _let_2 _let_3 (tptp.k1_domain_1 tptp.k1_numbers _let_2 D (tptp.k1_funcsdom A tptp.k1_numbers _let_1 B C))))))))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (exists ((C $$unsorted)) (and (tptp.m2_fraenkel C B tptp.k1_numbers (tptp.k1_fraenkel B tptp.k1_numbers)) (exists ((D $$unsorted)) (and (tptp.m2_fraenkel D B tptp.k1_numbers (tptp.k1_fraenkel B tptp.k1_numbers)) (forall ((E $$unsorted)) (let ((_let_1 (tptp.k1_funct_1 C E))) (let ((_let_2 (= E A))) (=> (tptp.r2_hidden E B) (and (=> _let_2 (= _let_1 tptp.np__1)) (=> (not _let_2) (= _let_1 tptp.np__0))))))) (forall ((E $$unsorted)) (let ((_let_1 (tptp.k1_funct_1 D E))) (let ((_let_2 (= E A))) (=> (tptp.r2_hidden E B) (and (=> _let_2 (= _let_1 tptp.np__0)) (=> (not _let_2) (= _let_1 tptp.np__1))))))))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (not (tptp.v1_xboole_0 C)) (forall ((D $$unsorted)) (=> (tptp.m2_fraenkel D C tptp.k1_numbers (tptp.k1_fraenkel C tptp.k1_numbers)) (forall ((E $$unsorted)) (=> (tptp.m2_fraenkel E C tptp.k1_numbers (tptp.k1_fraenkel C tptp.k1_numbers)) (=> (and (tptp.r2_hidden A C) (tptp.r2_hidden B C) (forall ((F $$unsorted)) (let ((_let_1 (tptp.k1_funct_1 D F))) (let ((_let_2 (= F A))) (=> (tptp.r2_hidden F C) (and (=> _let_2 (= _let_1 tptp.np__1)) (=> (not _let_2) (= _let_1 tptp.np__0))))))) (forall ((F $$unsorted)) (let ((_let_1 (tptp.k1_funct_1 E F))) (let ((_let_2 (= F A))) (=> (tptp.r2_hidden F C) (and (=> _let_2 (= _let_1 tptp.np__0)) (=> (not _let_2) (= _let_1 tptp.np__1)))))))) (or (= A B) (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F tptp.k1_numbers) (forall ((G $$unsorted)) (let ((_let_1 (tptp.k1_fraenkel C tptp.k1_numbers))) (let ((_let_2 (tptp.k8_funcsdom C))) (=> (tptp.m1_subset_1 G tptp.k1_numbers) (=> (= (tptp.k1_funcsdom C tptp.k1_numbers (tptp.k6_funcsdom C) (tptp.k2_funcsdom C tptp.k1_numbers tptp.k1_numbers _let_1 _let_2 (tptp.k1_domain_1 tptp.k1_numbers _let_1 F D)) (tptp.k2_funcsdom C tptp.k1_numbers tptp.k1_numbers _let_1 _let_2 (tptp.k1_domain_1 tptp.k1_numbers _let_1 G E))) (tptp.k9_funcsdom C)) (and (= F tptp.np__0) (= G tptp.np__0))))))))))))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (not (tptp.v1_xboole_0 C)) (not (and (tptp.r2_hidden A C) (tptp.r2_hidden B C) (not (= A B)) (forall ((D $$unsorted)) (=> (tptp.m2_fraenkel D C tptp.k1_numbers (tptp.k1_fraenkel C tptp.k1_numbers)) (forall ((E $$unsorted)) (=> (tptp.m2_fraenkel E C tptp.k1_numbers (tptp.k1_fraenkel C tptp.k1_numbers)) (exists ((F $$unsorted)) (and (tptp.m1_subset_1 F tptp.k1_numbers) (exists ((G $$unsorted)) (let ((_let_1 (tptp.k1_fraenkel C tptp.k1_numbers))) (let ((_let_2 (tptp.k8_funcsdom C))) (and (tptp.m1_subset_1 G tptp.k1_numbers) (= (tptp.k1_funcsdom C tptp.k1_numbers (tptp.k6_funcsdom C) (tptp.k2_funcsdom C tptp.k1_numbers tptp.k1_numbers _let_1 _let_2 (tptp.k1_domain_1 tptp.k1_numbers _let_1 F D)) (tptp.k2_funcsdom C tptp.k1_numbers tptp.k1_numbers _let_1 _let_2 (tptp.k1_domain_1 tptp.k1_numbers _let_1 G E))) (tptp.k9_funcsdom C)) (not (and (= F tptp.np__0) (= G tptp.np__0))))))))))))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (not (tptp.v1_xboole_0 C)) (forall ((D $$unsorted)) (=> (tptp.m2_fraenkel D C tptp.k1_numbers (tptp.k1_fraenkel C tptp.k1_numbers)) (forall ((E $$unsorted)) (=> (tptp.m2_fraenkel E C tptp.k1_numbers (tptp.k1_fraenkel C tptp.k1_numbers)) (=> (and (= C (tptp.k2_tarski A B)) (forall ((F $$unsorted)) (let ((_let_1 (tptp.k1_funct_1 D F))) (let ((_let_2 (= F A))) (=> (tptp.r2_hidden F C) (and (=> _let_2 (= _let_1 tptp.np__1)) (=> (not _let_2) (= _let_1 tptp.np__0))))))) (forall ((F $$unsorted)) (let ((_let_1 (tptp.k1_funct_1 E F))) (let ((_let_2 (= F A))) (=> (tptp.r2_hidden F C) (and (=> _let_2 (= _let_1 tptp.np__0)) (=> (not _let_2) (= _let_1 tptp.np__1)))))))) (or (= A B) (forall ((F $$unsorted)) (=> (tptp.m2_fraenkel F C tptp.k1_numbers (tptp.k1_fraenkel C tptp.k1_numbers)) (exists ((G $$unsorted)) (and (tptp.m1_subset_1 G tptp.k1_numbers) (exists ((H $$unsorted)) (let ((_let_1 (tptp.k1_fraenkel C tptp.k1_numbers))) (let ((_let_2 (tptp.k8_funcsdom C))) (and (tptp.m1_subset_1 H tptp.k1_numbers) (= F (tptp.k1_funcsdom C tptp.k1_numbers (tptp.k6_funcsdom C) (tptp.k2_funcsdom C tptp.k1_numbers tptp.k1_numbers _let_1 _let_2 (tptp.k1_domain_1 tptp.k1_numbers _let_1 G D)) (tptp.k2_funcsdom C tptp.k1_numbers tptp.k1_numbers _let_1 _let_2 (tptp.k1_domain_1 tptp.k1_numbers _let_1 H E)))))))))))))))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (not (tptp.v1_xboole_0 C)) (not (and (= C (tptp.k2_tarski A B)) (not (= A B)) (forall ((D $$unsorted)) (=> (tptp.m2_fraenkel D C tptp.k1_numbers (tptp.k1_fraenkel C tptp.k1_numbers)) (forall ((E $$unsorted)) (=> (tptp.m2_fraenkel E C tptp.k1_numbers (tptp.k1_fraenkel C tptp.k1_numbers)) (exists ((F $$unsorted)) (and (tptp.m2_fraenkel F C tptp.k1_numbers (tptp.k1_fraenkel C tptp.k1_numbers)) (forall ((G $$unsorted)) (=> (tptp.m1_subset_1 G tptp.k1_numbers) (forall ((H $$unsorted)) (let ((_let_1 (tptp.k1_fraenkel C tptp.k1_numbers))) (let ((_let_2 (tptp.k8_funcsdom C))) (=> (tptp.m1_subset_1 H tptp.k1_numbers) (not (= F (tptp.k1_funcsdom C tptp.k1_numbers (tptp.k6_funcsdom C) (tptp.k2_funcsdom C tptp.k1_numbers tptp.k1_numbers _let_1 _let_2 (tptp.k1_domain_1 tptp.k1_numbers _let_1 G D)) (tptp.k2_funcsdom C tptp.k1_numbers tptp.k1_numbers _let_1 _let_2 (tptp.k1_domain_1 tptp.k1_numbers _let_1 H E))))))))))))))))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (not (tptp.v1_xboole_0 C)) (not (and (= C (tptp.k2_tarski A B)) (not (= A B)) (forall ((D $$unsorted)) (=> (tptp.m2_fraenkel D C tptp.k1_numbers (tptp.k1_fraenkel C tptp.k1_numbers)) (forall ((E $$unsorted)) (=> (tptp.m2_fraenkel E C tptp.k1_numbers (tptp.k1_fraenkel C tptp.k1_numbers)) (not (and (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F tptp.k1_numbers) (forall ((G $$unsorted)) (let ((_let_1 (tptp.k1_fraenkel C tptp.k1_numbers))) (let ((_let_2 (tptp.k8_funcsdom C))) (=> (tptp.m1_subset_1 G tptp.k1_numbers) (=> (= (tptp.k1_funcsdom C tptp.k1_numbers (tptp.k6_funcsdom C) (tptp.k2_funcsdom C tptp.k1_numbers tptp.k1_numbers _let_1 _let_2 (tptp.k1_domain_1 tptp.k1_numbers _let_1 F D)) (tptp.k2_funcsdom C tptp.k1_numbers tptp.k1_numbers _let_1 _let_2 (tptp.k1_domain_1 tptp.k1_numbers _let_1 G E))) (tptp.k9_funcsdom C)) (and (= F tptp.np__0) (= G tptp.np__0))))))))) (forall ((F $$unsorted)) (=> (tptp.m2_fraenkel F C tptp.k1_numbers (tptp.k1_fraenkel C tptp.k1_numbers)) (exists ((G $$unsorted)) (and (tptp.m1_subset_1 G tptp.k1_numbers) (exists ((H $$unsorted)) (let ((_let_1 (tptp.k1_fraenkel C tptp.k1_numbers))) (let ((_let_2 (tptp.k8_funcsdom C))) (and (tptp.m1_subset_1 H tptp.k1_numbers) (= F (tptp.k1_funcsdom C tptp.k1_numbers (tptp.k6_funcsdom C) (tptp.k2_funcsdom C tptp.k1_numbers tptp.k1_numbers _let_1 _let_2 (tptp.k1_domain_1 tptp.k1_numbers _let_1 G D)) (tptp.k2_funcsdom C tptp.k1_numbers tptp.k1_numbers _let_1 _let_2 (tptp.k1_domain_1 tptp.k1_numbers _let_1 H E)))))))))))))))))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.g2_rlvect_1 (tptp.k1_fraenkel A tptp.k1_numbers) (tptp.k9_funcsdom A) (tptp.k6_funcsdom A) (tptp.k8_funcsdom A)))) (=> (not (tptp.v1_xboole_0 A)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v3_rlvect_1 _let_1) (tptp.v4_rlvect_1 _let_1) (tptp.v5_rlvect_1 _let_1) (tptp.v6_rlvect_1 _let_1) (tptp.v7_rlvect_1 _let_1) (tptp.l2_rlvect_1 _let_1))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (= (tptp.k11_funcsdom A) (tptp.g2_rlvect_1 (tptp.k1_fraenkel A tptp.k1_numbers) (tptp.k9_funcsdom A) (tptp.k6_funcsdom A) (tptp.k8_funcsdom A))))) true true (exists ((A $$unsorted)) (and (not (tptp.v3_struct_0 A)) (tptp.v2_rlvect_1 A) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v7_rlvect_1 A) (tptp.l2_rlvect_1 A) (exists ((B $$unsorted)) (and (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (exists ((C $$unsorted)) (and (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D tptp.k1_numbers) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E tptp.k1_numbers) (=> (= (tptp.k4_rlvect_1 A (tptp.k3_rlvect_1 A B D) (tptp.k3_rlvect_1 A C E)) (tptp.k1_rlvect_1 A)) (and (= D tptp.np__0) (= E tptp.np__0))))))) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (exists ((E $$unsorted)) (and (tptp.m1_subset_1 E tptp.k1_numbers) (exists ((F $$unsorted)) (and (tptp.m1_subset_1 F tptp.k1_numbers) (= D (tptp.k4_rlvect_1 A (tptp.k3_rlvect_1 A B E) (tptp.k3_rlvect_1 A C F))))))))))))))) true true true true (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (= (tptp.k12_funcsdom A) (tptp.g3_vectsp_1 (tptp.k1_fraenkel A tptp.k1_numbers) (tptp.k6_funcsdom A) (tptp.k7_funcsdom A) (tptp.k10_funcsdom A) (tptp.k9_funcsdom A))))) true true true (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (= (tptp.k2_group_1 (tptp.k12_funcsdom A)) (tptp.k10_funcsdom A)))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 (tptp.k12_funcsdom A))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 (tptp.k12_funcsdom A))) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k12_funcsdom A))) (let ((_let_2 (tptp.k1_group_1 _let_1 C B))) (let ((_let_3 (tptp.k2_rlvect_1 _let_1 C D))) (let ((_let_4 (tptp.k1_group_1 _let_1 B C))) (let ((_let_5 (tptp.k2_group_1 _let_1))) (let ((_let_6 (tptp.k2_rlvect_1 _let_1 B C))) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 _let_1)) (and (= _let_6 (tptp.k2_rlvect_1 _let_1 C B)) (= (tptp.k2_rlvect_1 _let_1 _let_6 D) (tptp.k2_rlvect_1 _let_1 B _let_3)) (= (tptp.k2_rlvect_1 _let_1 B (tptp.k1_rlvect_1 _let_1)) B) (exists ((E $$unsorted)) (let ((_let_1 (tptp.k12_funcsdom A))) (and (tptp.m1_subset_1 E (tptp.u1_struct_0 _let_1)) (= (tptp.k2_rlvect_1 _let_1 B E) (tptp.k1_rlvect_1 _let_1))))) (= _let_4 _let_2) (= (tptp.k1_group_1 _let_1 _let_4 D) (tptp.k1_group_1 _let_1 B (tptp.k1_group_1 _let_1 C D))) (= (tptp.k1_group_1 _let_1 B _let_5) B) (= (tptp.k1_group_1 _let_1 _let_5 B) B) (= (tptp.k1_group_1 _let_1 B _let_3) (tptp.k2_rlvect_1 _let_1 _let_4 (tptp.k1_group_1 _let_1 B D))) (= (tptp.k1_group_1 _let_1 _let_3 B) (tptp.k2_rlvect_1 _let_1 _let_2 (tptp.k1_group_1 _let_1 D B)))))))))))))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k12_funcsdom A))) (=> (not (tptp.v1_xboole_0 A)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v3_rlvect_1 _let_1) (tptp.v4_rlvect_1 _let_1) (tptp.v5_rlvect_1 _let_1) (tptp.v6_rlvect_1 _let_1) (tptp.v4_group_1 _let_1) (tptp.v7_group_1 _let_1) (tptp.v6_vectsp_1 _let_1) (tptp.v7_vectsp_1 _let_1) (tptp.v8_vectsp_1 _let_1) (tptp.l3_vectsp_1 _let_1))))) true true true true true true (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (= (tptp.k13_funcsdom A) (tptp.g1_funcsdom (tptp.k1_fraenkel A tptp.k1_numbers) (tptp.k7_funcsdom A) (tptp.k6_funcsdom A) (tptp.k8_funcsdom A) (tptp.k10_funcsdom A) (tptp.k9_funcsdom A))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (= (tptp.k2_group_1 (tptp.k13_funcsdom A)) (tptp.k10_funcsdom A)))) true true true true (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 (tptp.k13_funcsdom A))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 (tptp.k13_funcsdom A))) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 (tptp.k13_funcsdom A))) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E tptp.k1_numbers) (forall ((F $$unsorted)) (let ((_let_1 (tptp.k13_funcsdom A))) (let ((_let_2 (tptp.k3_rlvect_1 _let_1 B F))) (let ((_let_3 (tptp.k3_rlvect_1 _let_1 B E))) (let ((_let_4 (tptp.k2_rlvect_1 _let_1 B C))) (let ((_let_5 (tptp.k1_group_1 _let_1 B C))) (let ((_let_6 (tptp.k2_rlvect_1 _let_1 C D))) (=> (tptp.m1_subset_1 F tptp.k1_numbers) (and (= _let_4 (tptp.k2_rlvect_1 _let_1 C B)) (= (tptp.k2_rlvect_1 _let_1 _let_4 D) (tptp.k2_rlvect_1 _let_1 B _let_6)) (= (tptp.k2_rlvect_1 _let_1 B (tptp.k1_rlvect_1 _let_1)) B) (exists ((G $$unsorted)) (let ((_let_1 (tptp.k13_funcsdom A))) (and (tptp.m1_subset_1 G (tptp.u1_struct_0 _let_1)) (= (tptp.k2_rlvect_1 _let_1 B G) (tptp.k1_rlvect_1 _let_1))))) (= _let_5 (tptp.k1_group_1 _let_1 C B)) (= (tptp.k1_group_1 _let_1 _let_5 D) (tptp.k1_group_1 _let_1 B (tptp.k1_group_1 _let_1 C D))) (= (tptp.k1_group_1 _let_1 B (tptp.k2_group_1 _let_1)) B) (= (tptp.k1_group_1 _let_1 B _let_6) (tptp.k2_rlvect_1 _let_1 _let_5 (tptp.k1_group_1 _let_1 B D))) (= (tptp.k3_rlvect_1 _let_1 _let_5 E) (tptp.k1_group_1 _let_1 _let_3 C)) (= (tptp.k3_rlvect_1 _let_1 _let_4 E) (tptp.k2_rlvect_1 _let_1 _let_3 (tptp.k3_rlvect_1 _let_1 C E))) (= (tptp.k3_rlvect_1 _let_1 B (tptp.k3_real_1 E F)) (tptp.k2_rlvect_1 _let_1 _let_3 _let_2)) (= (tptp.k3_rlvect_1 _let_1 B (tptp.k4_real_1 E F)) (tptp.k3_rlvect_1 _let_1 _let_2 E))))))))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_funcsdom A)) (= (tptp.v2_funcsdom 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.k1_numbers) (forall ((F $$unsorted)) (let ((_let_1 (tptp.k3_rlvect_1 A B F))) (let ((_let_2 (tptp.k3_rlvect_1 A B E))) (let ((_let_3 (tptp.k1_group_1 A B C))) (=> (tptp.m1_subset_1 F tptp.k1_numbers) (and (= (tptp.k1_group_1 A B (tptp.k2_group_1 A)) B) (= (tptp.k1_group_1 A B (tptp.k2_rlvect_1 A C D)) (tptp.k2_rlvect_1 A _let_3 (tptp.k1_group_1 A B D))) (= (tptp.k3_rlvect_1 A _let_3 E) (tptp.k1_group_1 A _let_2 C)) (= (tptp.k3_rlvect_1 A (tptp.k2_rlvect_1 A B C) E) (tptp.k2_rlvect_1 A _let_2 (tptp.k3_rlvect_1 A C E))) (= (tptp.k3_rlvect_1 A B (tptp.k3_real_1 E F)) (tptp.k2_rlvect_1 A _let_2 _let_1)) (= (tptp.k3_rlvect_1 A B (tptp.k4_real_1 E F)) (tptp.k3_rlvect_1 A _let_1 E))))))))))))))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k13_funcsdom A))) (=> (not (tptp.v1_xboole_0 A)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v3_rlvect_1 _let_1) (tptp.v4_rlvect_1 _let_1) (tptp.v5_rlvect_1 _let_1) (tptp.v6_rlvect_1 _let_1) (tptp.v4_group_1 _let_1) (tptp.v7_group_1 _let_1) (tptp.v2_funcsdom _let_1) (tptp.l1_funcsdom _let_1))))) (forall ((A $$unsorted)) (=> (tptp.l1_funcsdom A) (and (tptp.l3_vectsp_1 A) (tptp.l2_rlvect_1 A)))) (exists ((A $$unsorted)) (tptp.l1_funcsdom A)) (forall ((A $$unsorted)) (=> (tptp.l1_funcsdom A) (=> (tptp.v1_funcsdom A) (= A (tptp.g1_funcsdom (tptp.u1_struct_0 A) (tptp.u1_group_1 A) (tptp.u1_rlvect_1 A) (tptp.u2_rlvect_1 A) (tptp.u1_vectsp_1 A) (tptp.u2_struct_0 A)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (let ((_let_1 (tptp.k1_fraenkel A B))) (let ((_let_2 (tptp.k2_zfmisc_1 _let_1 _let_1))) (=> (and (not (tptp.v1_xboole_0 A)) (not (tptp.v1_xboole_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 D _let_1) (tptp.m1_subset_1 E _let_1)) (tptp.m2_fraenkel (tptp.k1_funcsdom A B C D E) A B _let_1))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (let ((_let_1 (tptp.k1_fraenkel A B))) (let ((_let_2 (tptp.k2_zfmisc_1 _let_1 _let_1))) (=> (and (not (tptp.v1_xboole_0 A)) (not (tptp.v1_xboole_0 B)) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.m1_relset_1 C _let_2 _let_1) (tptp.m1_subset_1 D _let_1) (tptp.m1_subset_1 E _let_1)) (= (tptp.k1_funcsdom A B C D E) (tptp.k1_binop_1 C D E)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted)) (let ((_let_1 (tptp.k1_fraenkel A B))) (let ((_let_2 (tptp.k2_zfmisc_1 C D))) (=> (and (not (tptp.v1_xboole_0 A)) (not (tptp.v1_xboole_0 B)) (not (tptp.v1_xboole_0 C)) (not (tptp.v1_xboole_0 D)) (tptp.v1_funct_1 E) (tptp.v1_funct_2 E _let_2 _let_1) (tptp.m1_relset_1 E _let_2 _let_1) (tptp.m1_subset_1 F _let_2)) (tptp.m2_fraenkel (tptp.k2_funcsdom A B C D E F) A B _let_1))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 C D))) (let ((_let_2 (tptp.k1_fraenkel A B))) (=> (and (not (tptp.v1_xboole_0 A)) (not (tptp.v1_xboole_0 B)) (not (tptp.v1_xboole_0 C)) (not (tptp.v1_xboole_0 D)) (tptp.v1_funct_1 E) (tptp.v1_funct_2 E _let_1 _let_2) (tptp.m1_relset_1 E _let_1 _let_2) (tptp.m1_subset_1 F _let_1)) (= (tptp.k2_funcsdom A B C D E F) (tptp.k1_funct_1 E F)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$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.m2_fraenkel (tptp.k3_funcsdom A B C) A B (tptp.k1_fraenkel A B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A A))) (=> (and (not (tptp.v1_xboole_0 A)) (not (tptp.v1_xboole_0 B)) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_1 A) (tptp.m1_relset_1 C _let_1 A) (tptp.v1_funct_1 D) (tptp.v1_funct_2 D B A) (tptp.m1_relset_1 D B A) (tptp.v1_funct_1 E) (tptp.v1_funct_2 E B A) (tptp.m1_relset_1 E B A)) (tptp.m2_fraenkel (tptp.k4_funcsdom A B C D E) B A (tptp.k1_fraenkel B A))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A A))) (=> (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 A) (tptp.m1_relset_1 C _let_1 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.v1_funct_2 E B A) (tptp.m1_relset_1 E B A)) (= (tptp.k4_funcsdom A B C D E) (tptp.k3_funcop_1 C D E))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A A))) (=> (and (not (tptp.v1_xboole_0 A)) (not (tptp.v1_xboole_0 B)) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_1 A) (tptp.m1_relset_1 C _let_1 A) (tptp.m1_subset_1 D A) (tptp.v1_funct_1 E) (tptp.v1_funct_2 E B A) (tptp.m1_relset_1 E B A)) (tptp.m2_fraenkel (tptp.k5_funcsdom A B C D E) B A (tptp.k1_fraenkel B A))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A A))) (=> (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 A) (tptp.m1_relset_1 C _let_1 A) (tptp.m1_subset_1 D A) (tptp.v1_funct_1 E) (tptp.v1_funct_2 E B A) (tptp.m1_relset_1 E B A)) (= (tptp.k5_funcsdom A B C D E) (tptp.k5_funcop_1 C D E))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k1_fraenkel A tptp.k1_numbers))) (let ((_let_2 (tptp.k2_zfmisc_1 _let_1 _let_1))) (let ((_let_3 (tptp.k6_funcsdom A))) (=> (not (tptp.v1_xboole_0 A)) (and (tptp.v1_funct_1 _let_3) (tptp.v1_funct_2 _let_3 _let_2 _let_1) (tptp.m2_relset_1 _let_3 _let_2 _let_1))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k1_fraenkel A tptp.k1_numbers))) (let ((_let_2 (tptp.k2_zfmisc_1 _let_1 _let_1))) (let ((_let_3 (tptp.k7_funcsdom A))) (=> (not (tptp.v1_xboole_0 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 $$unsorted)) (let ((_let_1 (tptp.k1_fraenkel A tptp.k1_numbers))) (let ((_let_2 (tptp.k2_zfmisc_1 tptp.k1_numbers _let_1))) (let ((_let_3 (tptp.k8_funcsdom A))) (=> (not (tptp.v1_xboole_0 A)) (and (tptp.v1_funct_1 _let_3) (tptp.v1_funct_2 _let_3 _let_2 _let_1) (tptp.m2_relset_1 _let_3 _let_2 _let_1))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (tptp.m2_fraenkel (tptp.k9_funcsdom A) A tptp.k1_numbers (tptp.k1_fraenkel A tptp.k1_numbers)))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (tptp.m2_fraenkel (tptp.k10_funcsdom A) A tptp.k1_numbers (tptp.k1_fraenkel A tptp.k1_numbers)))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k11_funcsdom A))) (=> (not (tptp.v1_xboole_0 A)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v2_rlvect_1 _let_1) (tptp.v3_rlvect_1 _let_1) (tptp.v4_rlvect_1 _let_1) (tptp.v5_rlvect_1 _let_1) (tptp.v6_rlvect_1 _let_1) (tptp.v7_rlvect_1 _let_1) (tptp.l2_rlvect_1 _let_1))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k12_funcsdom A))) (=> (not (tptp.v1_xboole_0 A)) (and (tptp.v3_vectsp_1 _let_1) (tptp.l3_vectsp_1 _let_1))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k13_funcsdom A))) (=> (not (tptp.v1_xboole_0 A)) (and (tptp.v1_funcsdom _let_1) (tptp.l1_funcsdom _let_1))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted)) (let ((_let_1 (tptp.g1_funcsdom A B C D E F))) (let ((_let_2 (tptp.k2_zfmisc_1 tptp.k1_numbers A))) (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.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) (tptp.m1_subset_1 E A) (tptp.m1_subset_1 F A)) (and (tptp.v1_funcsdom _let_1) (tptp.l1_funcsdom _let_1))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 tptp.k1_numbers A))) (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.v1_funct_1 D) (tptp.v1_funct_2 D _let_1 A) (tptp.m1_relset_1 D _let_1 A) (tptp.m1_subset_1 E A) (tptp.m1_subset_1 F A)) (forall ((G $$unsorted) (H $$unsorted) (I $$unsorted) (J $$unsorted) (K $$unsorted) (L $$unsorted)) (=> (= (tptp.g1_funcsdom A B C D E F) (tptp.g1_funcsdom G H I J K L)) (and (= A G) (= B H) (= C I) (= D J) (= E K) (= F L)))))))) (forall ((A $$unsorted)) (=> (tptp.l1_struct_0 A) (exists ((B $$unsorted)) (and (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (tptp.v1_xboole_0 B) (tptp.v1_funct_1 B) (tptp.v1_finset_1 B) (tptp.v1_membered B) (tptp.v2_membered B) (tptp.v3_membered B) (tptp.v4_membered B) (tptp.v5_membered B))))) (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)) (tptp.v1_finset_1 B))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v7_rlvect_1 A) (tptp.l2_rlvect_1 A)) (not (tptp.v1_xboole_0 (tptp.k18_rlvect_2 A))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k23_rlvect_2 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.v7_rlvect_1 A) (tptp.l2_rlvect_1 A)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v2_rlvect_1 _let_1) (tptp.v3_rlvect_1 _let_1) (tptp.v4_rlvect_1 _let_1) (tptp.v5_rlvect_1 _let_1) (tptp.v6_rlvect_1 _let_1) (tptp.v7_rlvect_1 _let_1))))) (forall ((A $$unsorted)) (=> (tptp.l1_struct_0 A) (forall ((B $$unsorted)) (=> (tptp.r1_rlvect_1 A B) (= (tptp.k1_rlvect_2 A B) B))))) 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.k1_rlvect_2 A B) B))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.l1_rlvect_1 A)) (forall ((B $$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.m2_finseq_1 D (tptp.u1_struct_0 A)) (=> (and (= _let_1 (tptp.k3_finseq_1 C)) (= _let_1 (tptp.k3_finseq_1 D)) (forall ((E $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m2_subset_1 E tptp.k1_numbers tptp.k5_numbers) (=> (tptp.r2_hidden E (tptp.k1_relat_1 B)) (= (tptp.k1_funct_1 D E) (tptp.k4_rlvect_1 A (tptp.k4_finseq_4 tptp.k5_numbers _let_1 B E) (tptp.k4_finseq_4 tptp.k5_numbers _let_1 C E)))))))) (= (tptp.k9_rlvect_1 A D) (tptp.k4_rlvect_1 A (tptp.k9_rlvect_1 A B) (tptp.k9_rlvect_1 A C))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.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.m2_finseq_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m2_finseq_1 D (tptp.u1_struct_0 A)) (=> (and (= (tptp.k3_finseq_1 C) (tptp.k3_finseq_1 D)) (forall ((E $$unsorted)) (=> (tptp.m2_subset_1 E tptp.k1_numbers tptp.k5_numbers) (=> (tptp.r2_hidden E (tptp.k1_relat_1 C)) (= (tptp.k1_funct_1 D E) (tptp.k3_rlvect_1 A (tptp.k4_finseq_4 tptp.k5_numbers (tptp.u1_struct_0 A) C E) B)))))) (= (tptp.k9_rlvect_1 A D) (tptp.k3_rlvect_1 A (tptp.k9_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.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) (=> (tptp.r2_hidden D (tptp.k1_relat_1 B)) (= (tptp.k1_funct_1 C D) (tptp.k5_rlvect_1 A (tptp.k4_finseq_4 tptp.k5_numbers (tptp.u1_struct_0 A) B D))))))) (= (tptp.k9_rlvect_1 A C) (tptp.k5_rlvect_1 A (tptp.k9_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.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.m2_finseq_1 D (tptp.u1_struct_0 A)) (=> (and (= _let_1 (tptp.k3_finseq_1 C)) (= _let_1 (tptp.k3_finseq_1 D)) (forall ((E $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m2_subset_1 E tptp.k1_numbers tptp.k5_numbers) (=> (tptp.r2_hidden E (tptp.k1_relat_1 B)) (= (tptp.k1_funct_1 D E) (tptp.k6_rlvect_1 A (tptp.k4_finseq_4 tptp.k5_numbers _let_1 B E) (tptp.k4_finseq_4 tptp.k5_numbers _let_1 C E)))))))) (= (tptp.k9_rlvect_1 A D) (tptp.k6_rlvect_1 A (tptp.k9_rlvect_1 A B) (tptp.k9_rlvect_1 A C))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.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)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k1_relat_1 B))) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D _let_1 _let_1) (tptp.v3_funct_2 D _let_1 _let_1) (tptp.m2_relset_1 D _let_1 _let_1)) (=> (and (= (tptp.k3_finseq_1 B) (tptp.k3_finseq_1 C)) (forall ((E $$unsorted)) (=> (tptp.m2_subset_1 E tptp.k1_numbers tptp.k5_numbers) (=> (tptp.r2_hidden E (tptp.k1_relat_1 C)) (= (tptp.k1_funct_1 C E) (tptp.k1_funct_1 B (tptp.k1_funct_1 D E))))))) (= (tptp.k9_rlvect_1 A B) (tptp.k9_rlvect_1 A C)))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.l1_rlvect_1 A)) (forall ((B $$unsorted)) (=> (tptp.m2_finseq_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m2_finseq_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k1_relat_1 B))) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D _let_1 _let_1) (tptp.v3_funct_2 D _let_1 _let_1) (tptp.m2_relset_1 D _let_1 _let_1)) (=> (= C (tptp.k5_relat_1 D B)) (= (tptp.k9_rlvect_1 A B) (tptp.k9_rlvect_1 A C)))))))))))) true true (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_rlvect_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_finset_1 B) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (=> (and (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (= C (tptp.k6_rlvect_2 A B)) (exists ((D $$unsorted)) (and (tptp.m2_finseq_1 D (tptp.u1_struct_0 A)) (= (tptp.k2_relat_1 D) B) (tptp.v2_funct_1 D) (= C (tptp.k9_rlvect_1 A D)))))))))))) true true true true (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.l1_rlvect_1 A)) (= (tptp.k6_rlvect_2 A (tptp.k1_pre_topc A)) (tptp.k1_rlvect_1 A)))) (forall ((A $$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.l1_rlvect_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (= (tptp.k6_rlvect_2 A (tptp.k7_rlvect_2 A B)) B))))) (forall ((A $$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.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)) (=> (not (= B C)) (= (tptp.k6_rlvect_2 A (tptp.k8_rlvect_2 A B C)) (tptp.k4_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)) (not (and (not (= B C)) (not (= C D)) (not (= B D)) (not (= (tptp.k6_rlvect_2 A (tptp.k9_rlvect_2 A B C D)) (tptp.k4_rlvect_1 A (tptp.k4_rlvect_1 A B C) D))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.l1_rlvect_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_finset_1 B) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (forall ((C $$unsorted)) (=> (and (tptp.v1_finset_1 C) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (=> (tptp.r1_xboole_0 C B) (= (tptp.k6_rlvect_2 A (tptp.k2_rlvect_2 A C B)) (tptp.k4_rlvect_1 A (tptp.k6_rlvect_2 A C) (tptp.k6_rlvect_2 A B)))))))))) (forall ((A $$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 $$unsorted)) (=> (and (tptp.v1_finset_1 B) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (forall ((C $$unsorted)) (=> (and (tptp.v1_finset_1 C) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (= (tptp.k6_rlvect_2 A (tptp.k2_rlvect_2 A C B)) (tptp.k6_rlvect_1 A (tptp.k4_rlvect_1 A (tptp.k6_rlvect_2 A C) (tptp.k6_rlvect_2 A B)) (tptp.k6_rlvect_2 A (tptp.k3_rlvect_2 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)) (=> (and (tptp.v1_finset_1 B) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (forall ((C $$unsorted)) (=> (and (tptp.v1_finset_1 C) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (= (tptp.k6_rlvect_2 A (tptp.k3_rlvect_2 A C B)) (tptp.k6_rlvect_1 A (tptp.k4_rlvect_1 A (tptp.k6_rlvect_2 A C) (tptp.k6_rlvect_2 A B)) (tptp.k6_rlvect_2 A (tptp.k2_rlvect_2 A C B)))))))))) (forall ((A $$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 $$unsorted)) (=> (and (tptp.v1_finset_1 B) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (forall ((C $$unsorted)) (=> (and (tptp.v1_finset_1 C) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (= (tptp.k6_rlvect_2 A (tptp.k4_rlvect_2 A C B)) (tptp.k6_rlvect_1 A (tptp.k6_rlvect_2 A (tptp.k2_rlvect_2 A C B)) (tptp.k6_rlvect_2 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)) (=> (and (tptp.v1_finset_1 B) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (forall ((C $$unsorted)) (=> (and (tptp.v1_finset_1 C) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (= (tptp.k6_rlvect_2 A (tptp.k4_rlvect_2 A C B)) (tptp.k6_rlvect_1 A (tptp.k6_rlvect_2 A C) (tptp.k6_rlvect_2 A (tptp.k3_rlvect_2 A C B)))))))))) (forall ((A $$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 $$unsorted)) (=> (and (tptp.v1_finset_1 B) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (forall ((C $$unsorted)) (=> (and (tptp.v1_finset_1 C) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (= (tptp.k6_rlvect_2 A (tptp.k5_rlvect_2 A C B)) (tptp.k6_rlvect_1 A (tptp.k6_rlvect_2 A (tptp.k2_rlvect_2 A C B)) (tptp.k6_rlvect_2 A (tptp.k3_rlvect_2 A C B)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.l1_rlvect_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_finset_1 B) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (forall ((C $$unsorted)) (=> (and (tptp.v1_finset_1 C) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (= (tptp.k6_rlvect_2 A (tptp.k5_rlvect_2 A C B)) (tptp.k4_rlvect_1 A (tptp.k6_rlvect_2 A (tptp.k4_rlvect_2 A C B)) (tptp.k6_rlvect_2 A (tptp.k4_rlvect_2 A B C)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l2_struct_0 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m2_fraenkel B _let_1 tptp.k1_numbers (tptp.k1_fraenkel _let_1 tptp.k1_numbers)) (= (tptp.m1_rlvect_2 B A) (exists ((C $$unsorted)) (and (tptp.v1_finset_1 C) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 D _let_1) (=> (not (tptp.r2_hidden D C)) (= (tptp.k8_funct_2 _let_1 tptp.k1_numbers B D) tptp.np__0))))))))))))) true true true (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_rlvect_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_rlvect_2 B A) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 C _let_1) (= (= (tptp.k8_funct_2 _let_1 tptp.k1_numbers B C) tptp.np__0) (not (tptp.r2_hidden C (tptp.k10_rlvect_2 A B))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_rlvect_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_rlvect_2 B A) (= (= B (tptp.k11_rlvect_2 A)) (= (tptp.k10_rlvect_2 A B) tptp.k1_xboole_0)))))) true (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))) (=> (tptp.m1_subset_1 B _let_1) (= (tptp.k8_funct_2 _let_1 tptp.k1_numbers (tptp.k11_rlvect_2 A) B) tptp.np__0)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_rlvect_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (=> (tptp.m1_rlvect_2 C A) (= (tptp.m2_rlvect_2 C A B) (tptp.r1_tarski (tptp.k10_rlvect_2 A C) B)))))))) true true (forall ((A $$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.v7_rlvect_1 A) (tptp.l2_rlvect_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 $$unsorted)) (=> (tptp.m2_rlvect_2 D A B) (=> (tptp.r1_tarski B C) (tptp.m2_rlvect_2 D A C)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v7_rlvect_1 A) (tptp.l2_rlvect_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (tptp.m2_rlvect_2 (tptp.k11_rlvect_2 A) A B))))) (forall ((A $$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.v7_rlvect_1 A) (tptp.l2_rlvect_1 A)) (forall ((B $$unsorted)) (=> (tptp.m2_rlvect_2 B A (tptp.k1_subset_1 (tptp.u1_struct_0 A))) (= B (tptp.k11_rlvect_2 A)))))) (forall ((A $$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 $$unsorted)) (=> (tptp.m2_finseq_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_1 tptp.k1_numbers) (tptp.m2_relset_1 C _let_1 tptp.k1_numbers)) (forall ((D $$unsorted)) (=> (tptp.m2_finseq_1 D (tptp.u1_struct_0 A)) (= (= D (tptp.k12_rlvect_2 A B C)) (and (= (tptp.k3_finseq_1 D) (tptp.k3_finseq_1 B)) (forall ((E $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.k4_finseq_4 tptp.k5_numbers _let_1 B E))) (=> (tptp.m2_subset_1 E tptp.k1_numbers tptp.k5_numbers) (=> (tptp.r2_hidden E (tptp.k1_relat_1 D)) (= (tptp.k1_funct_1 D E) (tptp.k3_rlvect_1 A _let_2 (tptp.k8_funct_2 _let_1 tptp.k1_numbers C _let_2))))))))))))))))))) true true true true (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_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.m2_finseq_1 D (tptp.u1_struct_0 B)) (forall ((E $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (=> (and (tptp.v1_funct_1 E) (tptp.v1_funct_2 E _let_1 tptp.k1_numbers) (tptp.m2_relset_1 E _let_1 tptp.k1_numbers)) (=> (and (tptp.r2_hidden A (tptp.k1_relat_1 D)) (= C (tptp.k1_funct_1 D A))) (= (tptp.k1_funct_1 (tptp.k12_rlvect_2 B D E) A) (tptp.k3_rlvect_1 B C (tptp.k8_funct_2 _let_1 tptp.k1_numbers E C))))))))))))))) (forall ((A $$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.v7_rlvect_1 A) (tptp.l2_rlvect_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.k6_finseq_1 _let_1))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_1 tptp.k1_numbers) (tptp.m2_relset_1 B _let_1 tptp.k1_numbers)) (= (tptp.k12_rlvect_2 A _let_2 B) _let_2))))))) (forall ((A $$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.v7_rlvect_1 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))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_1 tptp.k1_numbers) (tptp.m2_relset_1 C _let_1 tptp.k1_numbers)) (= (tptp.k12_rlvect_2 A (tptp.k12_finseq_1 _let_1 B) C) (tptp.k12_finseq_1 _let_1 (tptp.k3_rlvect_1 A B (tptp.k8_funct_2 _let_1 tptp.k1_numbers 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)) (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 tptp.k1_numbers) (tptp.m2_relset_1 D _let_1 tptp.k1_numbers)) (= (tptp.k12_rlvect_2 A (tptp.k2_finseq_4 _let_1 B C) D) (tptp.k2_finseq_4 _let_1 (tptp.k3_rlvect_1 A B (tptp.k8_funct_2 _let_1 tptp.k1_numbers D B)) (tptp.k3_rlvect_1 A C (tptp.k8_funct_2 _let_1 tptp.k1_numbers D C))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v7_rlvect_1 A) (tptp.l2_rlvect_1 A)) (forall ((B $$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 $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 E) (tptp.v1_funct_2 E _let_1 tptp.k1_numbers) (tptp.m2_relset_1 E _let_1 tptp.k1_numbers)) (= (tptp.k12_rlvect_2 A (tptp.k3_finseq_4 _let_1 B C D) E) (tptp.k3_finseq_4 _let_1 (tptp.k3_rlvect_1 A B (tptp.k8_funct_2 _let_1 tptp.k1_numbers E B)) (tptp.k3_rlvect_1 A C (tptp.k8_funct_2 _let_1 tptp.k1_numbers E C)) (tptp.k3_rlvect_1 A D (tptp.k8_funct_2 _let_1 tptp.k1_numbers E D))))))))))))))) (forall ((A $$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 $$unsorted)) (=> (tptp.m1_rlvect_2 B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (= C (tptp.k13_rlvect_2 A B)) (exists ((D $$unsorted)) (and (tptp.m2_finseq_1 D (tptp.u1_struct_0 A)) (tptp.v2_funct_1 D) (= (tptp.k2_relat_1 D) (tptp.k10_rlvect_2 A B)) (= C (tptp.k9_rlvect_1 A (tptp.k12_rlvect_2 A D B)))))))))))) true true (forall ((A $$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.v7_rlvect_1 A) (tptp.l2_rlvect_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (and (not (= B tptp.k1_xboole_0)) (tptp.v1_rlsub_1 B A)) (forall ((C $$unsorted)) (=> (tptp.m2_rlvect_2 C A B) (tptp.r2_hidden (tptp.k13_rlvect_2 A C) B)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v7_rlvect_1 A) (tptp.l2_rlvect_1 A)) (= (tptp.k13_rlvect_2 A (tptp.k11_rlvect_2 A)) (tptp.k1_rlvect_1 A)))) (forall ((A $$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 $$unsorted)) (=> (tptp.m2_rlvect_2 B A (tptp.k1_subset_1 (tptp.u1_struct_0 A))) (= (tptp.k13_rlvect_2 A B) (tptp.k1_rlvect_1 A)))))) (forall ((A $$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 $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m2_rlvect_2 C A (tptp.k7_rlvect_2 A B)) (= (tptp.k13_rlvect_2 A C) (tptp.k3_rlvect_1 A B (tptp.k8_funct_2 (tptp.u1_struct_0 A) tptp.k1_numbers 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)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (=> (not (= B C)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m2_rlvect_2 D A (tptp.k8_rlvect_2 A B C)) (= (tptp.k13_rlvect_2 A D) (tptp.k4_rlvect_1 A (tptp.k3_rlvect_1 A B (tptp.k8_funct_2 _let_1 tptp.k1_numbers D B)) (tptp.k3_rlvect_1 A C (tptp.k8_funct_2 _let_1 tptp.k1_numbers D C)))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v7_rlvect_1 A) (tptp.l2_rlvect_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_rlvect_2 B A) (=> (= (tptp.k10_rlvect_2 A B) tptp.k1_xboole_0) (= (tptp.k13_rlvect_2 A 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)) (forall ((C $$unsorted)) (=> (tptp.m1_rlvect_2 C A) (=> (= (tptp.k10_rlvect_2 A C) (tptp.k7_rlvect_2 A B)) (= (tptp.k13_rlvect_2 A C) (tptp.k3_rlvect_1 A B (tptp.k8_funct_2 (tptp.u1_struct_0 A) tptp.k1_numbers C B)))))))))) (forall ((A $$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 $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_rlvect_2 D A) (=> (= (tptp.k10_rlvect_2 A D) (tptp.k8_rlvect_2 A B C)) (or (= B C) (= (tptp.k13_rlvect_2 A D) (tptp.k4_rlvect_1 A (tptp.k3_rlvect_1 A B (tptp.k8_funct_2 _let_1 tptp.k1_numbers D B)) (tptp.k3_rlvect_1 A C (tptp.k8_funct_2 _let_1 tptp.k1_numbers D C))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_rlvect_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_rlvect_2 B A) (forall ((C $$unsorted)) (=> (tptp.m1_rlvect_2 C A) (= (tptp.r1_rlvect_2 A B C) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 D _let_1) (= (tptp.k8_funct_2 _let_1 tptp.k1_numbers B D) (tptp.k8_funct_2 _let_1 tptp.k1_numbers C D)))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_rlvect_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_rlvect_2 B A) (forall ((C $$unsorted)) (=> (tptp.m1_rlvect_2 C A) (forall ((D $$unsorted)) (=> (tptp.m1_rlvect_2 D A) (= (= D (tptp.k14_rlvect_2 A B C)) (forall ((E $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 E _let_1) (= (tptp.k8_funct_2 _let_1 tptp.k1_numbers D E) (tptp.k3_real_1 (tptp.k8_funct_2 _let_1 tptp.k1_numbers B E) (tptp.k8_funct_2 _let_1 tptp.k1_numbers C E))))))))))))))) true true true (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v7_rlvect_1 A) (tptp.l2_rlvect_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_rlvect_2 B A) (forall ((C $$unsorted)) (=> (tptp.m1_rlvect_2 C A) (tptp.r1_tarski (tptp.k10_rlvect_2 A (tptp.k14_rlvect_2 A B C)) (tptp.k2_rlvect_2 A (tptp.k10_rlvect_2 A B) (tptp.k10_rlvect_2 A C))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v7_rlvect_1 A) (tptp.l2_rlvect_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (=> (tptp.m1_rlvect_2 C A) (forall ((D $$unsorted)) (=> (tptp.m1_rlvect_2 D A) (=> (and (tptp.m2_rlvect_2 C A B) (tptp.m2_rlvect_2 D A B)) (tptp.m2_rlvect_2 (tptp.k14_rlvect_2 A C D) A B)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_rlvect_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_rlvect_2 B A) (forall ((C $$unsorted)) (=> (tptp.m1_rlvect_2 C A) (tptp.r1_rlvect_2 A (tptp.k14_rlvect_2 A B C) (tptp.k14_rlvect_2 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_rlvect_2 B A) (forall ((C $$unsorted)) (=> (tptp.m1_rlvect_2 C A) (forall ((D $$unsorted)) (=> (tptp.m1_rlvect_2 D A) (tptp.r1_rlvect_2 A (tptp.k14_rlvect_2 A B (tptp.k14_rlvect_2 A C D)) (tptp.k14_rlvect_2 A (tptp.k14_rlvect_2 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)) (let ((_let_1 (tptp.k11_rlvect_2 A))) (=> (tptp.m1_rlvect_2 B A) (and (tptp.r1_rlvect_2 A (tptp.k14_rlvect_2 A B _let_1) B) (tptp.r1_rlvect_2 A (tptp.k14_rlvect_2 A _let_1 B) B))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v7_rlvect_1 A) (tptp.l2_rlvect_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.k1_numbers) (forall ((C $$unsorted)) (=> (tptp.m1_rlvect_2 C A) (forall ((D $$unsorted)) (=> (tptp.m1_rlvect_2 D A) (= (= D (tptp.k15_rlvect_2 A B C)) (forall ((E $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 E _let_1) (= (tptp.k8_funct_2 _let_1 tptp.k1_numbers D E) (tptp.k4_real_1 B (tptp.k8_funct_2 _let_1 tptp.k1_numbers C E))))))))))))))) true true (forall ((A $$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.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_rlvect_2 C A) (=> (not (= B tptp.np__0)) (= (tptp.k10_rlvect_2 A (tptp.k15_rlvect_2 A B C)) (tptp.k10_rlvect_2 A C))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v7_rlvect_1 A) (tptp.l2_rlvect_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_rlvect_2 B A) (tptp.r1_rlvect_2 A (tptp.k15_rlvect_2 A tptp.np__0 B) (tptp.k11_rlvect_2 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.k1_numbers) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((D $$unsorted)) (=> (tptp.m1_rlvect_2 D A) (=> (tptp.m2_rlvect_2 D A C) (tptp.m2_rlvect_2 (tptp.k15_rlvect_2 A B D) A C)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v7_rlvect_1 A) (tptp.l2_rlvect_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.k1_numbers) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C tptp.k1_numbers) (forall ((D $$unsorted)) (=> (tptp.m1_rlvect_2 D A) (tptp.r1_rlvect_2 A (tptp.k15_rlvect_2 A (tptp.k3_real_1 B C) D) (tptp.k14_rlvect_2 A (tptp.k15_rlvect_2 A B D) (tptp.k15_rlvect_2 A C D))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v7_rlvect_1 A) (tptp.l2_rlvect_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.k1_numbers) (forall ((C $$unsorted)) (=> (tptp.m1_rlvect_2 C A) (forall ((D $$unsorted)) (=> (tptp.m1_rlvect_2 D A) (tptp.r1_rlvect_2 A (tptp.k15_rlvect_2 A B (tptp.k14_rlvect_2 A C D)) (tptp.k14_rlvect_2 A (tptp.k15_rlvect_2 A B C) (tptp.k15_rlvect_2 A B 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) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C tptp.k1_numbers) (forall ((D $$unsorted)) (=> (tptp.m1_rlvect_2 D A) (tptp.r1_rlvect_2 A (tptp.k15_rlvect_2 A B (tptp.k15_rlvect_2 A C D)) (tptp.k15_rlvect_2 A (tptp.k4_real_1 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_rlvect_2 B A) (tptp.r1_rlvect_2 A (tptp.k15_rlvect_2 A tptp.np__1 B) B))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v7_rlvect_1 A) (tptp.l2_rlvect_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_rlvect_2 B A) (= (tptp.k16_rlvect_2 A B) (tptp.k15_rlvect_2 A (tptp.k1_real_1 tptp.np__1) B)))))) 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)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_rlvect_2 C A) (= (tptp.k8_funct_2 _let_1 tptp.k1_numbers (tptp.k16_rlvect_2 A C) B) (tptp.k1_real_1 (tptp.k8_funct_2 _let_1 tptp.k1_numbers C B)))))))))) (forall ((A $$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 $$unsorted)) (=> (tptp.m1_rlvect_2 B A) (forall ((C $$unsorted)) (=> (tptp.m1_rlvect_2 C A) (=> (tptp.r1_rlvect_2 A (tptp.k14_rlvect_2 A B C) (tptp.k11_rlvect_2 A)) (tptp.r1_rlvect_2 A C (tptp.k16_rlvect_2 A B))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v7_rlvect_1 A) (tptp.l2_rlvect_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_rlvect_2 B A) (= (tptp.k10_rlvect_2 A (tptp.k16_rlvect_2 A B)) (tptp.k10_rlvect_2 A B)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v7_rlvect_1 A) (tptp.l2_rlvect_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (=> (tptp.m1_rlvect_2 C A) (=> (tptp.m2_rlvect_2 C A B) (tptp.m2_rlvect_2 (tptp.k16_rlvect_2 A C) A B)))))))) (forall ((A $$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.v7_rlvect_1 A) (tptp.l2_rlvect_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_rlvect_2 B A) (tptp.r1_rlvect_2 A (tptp.k16_rlvect_2 A (tptp.k16_rlvect_2 A B)) B))))) (forall ((A $$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.v7_rlvect_1 A) (tptp.l2_rlvect_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_rlvect_2 B A) (forall ((C $$unsorted)) (=> (tptp.m1_rlvect_2 C A) (= (tptp.k17_rlvect_2 A B C) (tptp.k14_rlvect_2 A B (tptp.k16_rlvect_2 A 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)) (forall ((C $$unsorted)) (=> (tptp.m1_rlvect_2 C A) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_rlvect_2 D A) (= (tptp.k8_funct_2 _let_1 tptp.k1_numbers (tptp.k17_rlvect_2 A C D) B) (tptp.k5_real_1 (tptp.k8_funct_2 _let_1 tptp.k1_numbers C B) (tptp.k8_funct_2 _let_1 tptp.k1_numbers 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_rlvect_2 B A) (forall ((C $$unsorted)) (=> (tptp.m1_rlvect_2 C A) (tptp.r1_tarski (tptp.k10_rlvect_2 A (tptp.k17_rlvect_2 A B C)) (tptp.k2_rlvect_2 A (tptp.k10_rlvect_2 A B) (tptp.k10_rlvect_2 A C))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v7_rlvect_1 A) (tptp.l2_rlvect_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (=> (tptp.m1_rlvect_2 C A) (forall ((D $$unsorted)) (=> (tptp.m1_rlvect_2 D A) (=> (and (tptp.m2_rlvect_2 C A B) (tptp.m2_rlvect_2 D A B)) (tptp.m2_rlvect_2 (tptp.k17_rlvect_2 A C D) A B)))))))))) (forall ((A $$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.v7_rlvect_1 A) (tptp.l2_rlvect_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_rlvect_2 B A) (tptp.r1_rlvect_2 A (tptp.k17_rlvect_2 A B B) (tptp.k11_rlvect_2 A)))))) (forall ((A $$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 $$unsorted)) (= (= B (tptp.k18_rlvect_2 A)) (forall ((C $$unsorted)) (= (tptp.r2_hidden C B) (tptp.m1_rlvect_2 C 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.k18_rlvect_2 A)) (= (tptp.k19_rlvect_2 A B) B))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v7_rlvect_1 A) (tptp.l2_rlvect_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_rlvect_2 B A) (= (tptp.k20_rlvect_2 A B) B))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v7_rlvect_1 A) (tptp.l2_rlvect_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k18_rlvect_2 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.k21_rlvect_2 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k18_rlvect_2 A)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k18_rlvect_2 A))) (=> (tptp.m1_subset_1 D _let_1) (= (tptp.k2_binop_1 _let_1 _let_1 _let_1 B C D) (tptp.k14_rlvect_2 A (tptp.k19_rlvect_2 A C) (tptp.k19_rlvect_2 A 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)) (let ((_let_1 (tptp.k18_rlvect_2 A))) (let ((_let_2 (tptp.k2_zfmisc_1 tptp.k1_numbers _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.k22_rlvect_2 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C tptp.k1_numbers) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k18_rlvect_2 A)) (= (tptp.k1_funct_1 B (tptp.k4_tarski C D)) (tptp.k15_rlvect_2 A C (tptp.k19_rlvect_2 A D)))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v7_rlvect_1 A) (tptp.l2_rlvect_1 A)) (= (tptp.k23_rlvect_2 A) (tptp.g2_rlvect_1 (tptp.k18_rlvect_2 A) (tptp.k20_rlvect_2 A (tptp.k11_rlvect_2 A)) (tptp.k21_rlvect_2 A) (tptp.k22_rlvect_2 A))))) true true true true true true true true true (forall ((A $$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.v7_rlvect_1 A) (tptp.l2_rlvect_1 A)) (= (tptp.u1_struct_0 (tptp.k23_rlvect_2 A)) (tptp.k18_rlvect_2 A)))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v7_rlvect_1 A) (tptp.l2_rlvect_1 A)) (= (tptp.u2_struct_0 (tptp.k23_rlvect_2 A)) (tptp.k11_rlvect_2 A)))) (forall ((A $$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)) (= (tptp.u1_rlvect_1 (tptp.k23_rlvect_2 A)) (tptp.k21_rlvect_2 A)))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v7_rlvect_1 A) (tptp.l2_rlvect_1 A)) (= (tptp.u2_rlvect_1 (tptp.k23_rlvect_2 A)) (tptp.k22_rlvect_2 A)))) (forall ((A $$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 $$unsorted)) (=> (tptp.m1_rlvect_2 B A) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k23_rlvect_2 A))) (=> (tptp.m1_rlvect_2 C A) (= (tptp.k4_rlvect_1 _let_1 (tptp.k1_rlvect_2 _let_1 B) (tptp.k1_rlvect_2 _let_1 C)) (tptp.k14_rlvect_2 A B C))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v7_rlvect_1 A) (tptp.l2_rlvect_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.k1_numbers) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k23_rlvect_2 A))) (=> (tptp.m1_rlvect_2 C A) (= (tptp.k3_rlvect_1 _let_1 (tptp.k1_rlvect_2 _let_1 C) B) (tptp.k15_rlvect_2 A B C))))))))) (forall ((A $$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.v7_rlvect_1 A) (tptp.l2_rlvect_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k23_rlvect_2 A))) (=> (tptp.m1_rlvect_2 B A) (= (tptp.k5_rlvect_1 _let_1 (tptp.k1_rlvect_2 _let_1 B)) (tptp.k16_rlvect_2 A B))))))) (forall ((A $$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.v7_rlvect_1 A) (tptp.l2_rlvect_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_rlvect_2 B A) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k23_rlvect_2 A))) (=> (tptp.m1_rlvect_2 C A) (= (tptp.k6_rlvect_1 _let_1 (tptp.k1_rlvect_2 _let_1 B) (tptp.k1_rlvect_2 _let_1 C)) (tptp.k17_rlvect_2 A B C))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l2_struct_0 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_rlvect_2 B A) (tptp.m2_fraenkel B _let_1 tptp.k1_numbers (tptp.k1_fraenkel _let_1 tptp.k1_numbers))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l2_struct_0 A)) (exists ((B $$unsorted)) (tptp.m1_rlvect_2 B A)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_rlvect_1 A) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (forall ((C $$unsorted)) (=> (tptp.m2_rlvect_2 C A B) (tptp.m1_rlvect_2 C A))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_rlvect_1 A) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (exists ((C $$unsorted)) (tptp.m2_rlvect_2 C A B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_rlvect_1 A) (tptp.m1_rlvect_2 B A) (tptp.m1_rlvect_2 C A)) (=> (tptp.r1_rlvect_2 A B C) (tptp.r1_rlvect_2 A C B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_rlvect_1 A) (tptp.m1_rlvect_2 B A) (tptp.m1_rlvect_2 C A)) (tptp.r1_rlvect_2 A B B))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_rlvect_1 A) (tptp.m1_rlvect_2 B A) (tptp.m1_rlvect_2 C A)) (= (tptp.r1_rlvect_2 A B C) (= B C)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.l1_struct_0 A) (tptp.m1_subset_1 (tptp.k1_rlvect_2 A B) (tptp.u1_struct_0 A)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (let ((_let_2 (tptp.k2_rlvect_2 A B C))) (=> (and (tptp.l1_struct_0 A) (tptp.v1_finset_1 B) (tptp.m1_subset_1 B _let_1) (tptp.v1_finset_1 C) (tptp.m1_subset_1 C _let_1)) (and (tptp.v1_finset_1 _let_2) (tptp.m1_subset_1 _let_2 _let_1)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (=> (and (tptp.l1_struct_0 A) (tptp.v1_finset_1 B) (tptp.m1_subset_1 B _let_1) (tptp.v1_finset_1 C) (tptp.m1_subset_1 C _let_1)) (= (tptp.k2_rlvect_2 A B C) (tptp.k2_rlvect_2 A C B))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (=> (and (tptp.l1_struct_0 A) (tptp.v1_finset_1 B) (tptp.m1_subset_1 B _let_1) (tptp.v1_finset_1 C) (tptp.m1_subset_1 C _let_1)) (= (tptp.k2_rlvect_2 A B B) B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (=> (and (tptp.l1_struct_0 A) (tptp.v1_finset_1 B) (tptp.m1_subset_1 B _let_1) (tptp.v1_finset_1 C) (tptp.m1_subset_1 C _let_1)) (= (tptp.k2_rlvect_2 A B C) (tptp.k2_xboole_0 B C))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (let ((_let_2 (tptp.k3_rlvect_2 A B C))) (=> (and (tptp.l1_struct_0 A) (tptp.v1_finset_1 B) (tptp.m1_subset_1 B _let_1) (tptp.v1_finset_1 C) (tptp.m1_subset_1 C _let_1)) (and (tptp.v1_finset_1 _let_2) (tptp.m1_subset_1 _let_2 _let_1)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (=> (and (tptp.l1_struct_0 A) (tptp.v1_finset_1 B) (tptp.m1_subset_1 B _let_1) (tptp.v1_finset_1 C) (tptp.m1_subset_1 C _let_1)) (= (tptp.k3_rlvect_2 A B C) (tptp.k3_rlvect_2 A C B))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (=> (and (tptp.l1_struct_0 A) (tptp.v1_finset_1 B) (tptp.m1_subset_1 B _let_1) (tptp.v1_finset_1 C) (tptp.m1_subset_1 C _let_1)) (= (tptp.k3_rlvect_2 A B B) B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (=> (and (tptp.l1_struct_0 A) (tptp.v1_finset_1 B) (tptp.m1_subset_1 B _let_1) (tptp.v1_finset_1 C) (tptp.m1_subset_1 C _let_1)) (= (tptp.k3_rlvect_2 A B C) (tptp.k3_xboole_0 B C))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (let ((_let_2 (tptp.k4_rlvect_2 A B C))) (=> (and (tptp.l1_struct_0 A) (tptp.v1_finset_1 B) (tptp.m1_subset_1 B _let_1) (tptp.v1_finset_1 C) (tptp.m1_subset_1 C _let_1)) (and (tptp.v1_finset_1 _let_2) (tptp.m1_subset_1 _let_2 _let_1)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (=> (and (tptp.l1_struct_0 A) (tptp.v1_finset_1 B) (tptp.m1_subset_1 B _let_1) (tptp.v1_finset_1 C) (tptp.m1_subset_1 C _let_1)) (= (tptp.k4_rlvect_2 A B C) (tptp.k4_xboole_0 B C))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (let ((_let_2 (tptp.k5_rlvect_2 A B C))) (=> (and (tptp.l1_struct_0 A) (tptp.v1_finset_1 B) (tptp.m1_subset_1 B _let_1) (tptp.v1_finset_1 C) (tptp.m1_subset_1 C _let_1)) (and (tptp.v1_finset_1 _let_2) (tptp.m1_subset_1 _let_2 _let_1)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (=> (and (tptp.l1_struct_0 A) (tptp.v1_finset_1 B) (tptp.m1_subset_1 B _let_1) (tptp.v1_finset_1 C) (tptp.m1_subset_1 C _let_1)) (= (tptp.k5_rlvect_2 A B C) (tptp.k5_rlvect_2 A C B))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (=> (and (tptp.l1_struct_0 A) (tptp.v1_finset_1 B) (tptp.m1_subset_1 B _let_1) (tptp.v1_finset_1 C) (tptp.m1_subset_1 C _let_1)) (= (tptp.k5_rlvect_2 A B C) (tptp.k5_xboole_0 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.v1_finset_1 B) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 _let_1))) (tptp.m1_subset_1 (tptp.k6_rlvect_2 A B) _let_1)))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.k7_rlvect_2 A B))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_struct_0 A) (tptp.m1_subset_1 B _let_1)) (and (tptp.v1_finset_1 _let_2) (tptp.m1_subset_1 _let_2 (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.k7_rlvect_2 A B) (tptp.k1_tarski B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.k8_rlvect_2 A B C))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_struct_0 A) (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (and (tptp.v1_finset_1 _let_2) (tptp.m1_subset_1 _let_2 (tptp.k1_zfmisc_1 _let_1))))))) (forall ((A $$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.k8_rlvect_2 A B C) (tptp.k8_rlvect_2 A C B))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_struct_0 A) (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (= (tptp.k8_rlvect_2 A B C) (tptp.k2_tarski B C))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.k9_rlvect_2 A B C D))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_struct_0 A) (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1) (tptp.m1_subset_1 D _let_1)) (and (tptp.v1_finset_1 _let_2) (tptp.m1_subset_1 _let_2 (tptp.k1_zfmisc_1 _let_1))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_struct_0 A) (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1) (tptp.m1_subset_1 D _let_1)) (= (tptp.k9_rlvect_2 A B C D) (tptp.k1_enumset1 B C D))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k10_rlvect_2 A B))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_rlvect_1 A) (tptp.m1_rlvect_2 B A)) (and (tptp.v1_finset_1 _let_1) (tptp.m1_subset_1 _let_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_rlvect_1 A)) (tptp.m1_rlvect_2 (tptp.k11_rlvect_2 A) A))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v7_rlvect_1 A) (tptp.l2_rlvect_1 A) (tptp.m1_finseq_1 B _let_1) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_1 tptp.k1_numbers) (tptp.m1_relset_1 C _let_1 tptp.k1_numbers)) (tptp.m2_finseq_1 (tptp.k12_rlvect_2 A B C) _let_1)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v7_rlvect_1 A) (tptp.l2_rlvect_1 A) (tptp.m1_rlvect_2 B A)) (tptp.m1_subset_1 (tptp.k13_rlvect_2 A B) (tptp.u1_struct_0 A)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_rlvect_1 A) (tptp.m1_rlvect_2 B A) (tptp.m1_rlvect_2 C A)) (tptp.m1_rlvect_2 (tptp.k14_rlvect_2 A B C) A))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v7_rlvect_1 A) (tptp.l2_rlvect_1 A) (tptp.m1_subset_1 B tptp.k1_numbers) (tptp.m1_rlvect_2 C A)) (tptp.m1_rlvect_2 (tptp.k15_rlvect_2 A B C) A))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v7_rlvect_1 A) (tptp.l2_rlvect_1 A) (tptp.m1_rlvect_2 B A)) (tptp.m1_rlvect_2 (tptp.k16_rlvect_2 A B) A))) (forall ((A $$unsorted) (B $$unsorted) (C $$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) (tptp.m1_rlvect_2 B A) (tptp.m1_rlvect_2 C A)) (tptp.m1_rlvect_2 (tptp.k17_rlvect_2 A B C) A))) true (forall ((A $$unsorted) (B $$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) (tptp.m1_subset_1 B (tptp.k18_rlvect_2 A))) (tptp.m1_rlvect_2 (tptp.k19_rlvect_2 A B) A))) (forall ((A $$unsorted) (B $$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) (tptp.m1_rlvect_2 B A)) (tptp.m1_subset_1 (tptp.k20_rlvect_2 A B) (tptp.k18_rlvect_2 A)))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k18_rlvect_2 A))) (let ((_let_2 (tptp.k2_zfmisc_1 _let_1 _let_1))) (let ((_let_3 (tptp.k21_rlvect_2 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v7_rlvect_1 A) (tptp.l2_rlvect_1 A)) (and (tptp.v1_funct_1 _let_3) (tptp.v1_funct_2 _let_3 _let_2 _let_1) (tptp.m2_relset_1 _let_3 _let_2 _let_1))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k18_rlvect_2 A))) (let ((_let_2 (tptp.k2_zfmisc_1 tptp.k1_numbers _let_1))) (let ((_let_3 (tptp.k22_rlvect_2 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.v7_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 $$unsorted)) (let ((_let_1 (tptp.k23_rlvect_2 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v7_rlvect_1 A) (tptp.l2_rlvect_1 A)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v3_rlvect_1 _let_1) (tptp.v4_rlvect_1 _let_1) (tptp.v5_rlvect_1 _let_1) (tptp.v6_rlvect_1 _let_1) (tptp.v7_rlvect_1 _let_1) (tptp.l2_rlvect_1 _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k24_rlvect_2 A B))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v7_rlvect_1 A) (tptp.l2_rlvect_1 A) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (and (tptp.v2_rlvect_1 _let_1) (tptp.m1_rlsub_1 _let_1 (tptp.k23_rlvect_2 A)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_rlvect_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_rlvect_2 B A) (= (tptp.k10_rlvect_2 A B) (tptp.a_2_0_rlvect_2 A B)))))) (forall ((A $$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.v7_rlvect_1 A) (tptp.l2_rlvect_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (=> (and (tptp.v2_rlvect_1 C) (tptp.m1_rlsub_1 C (tptp.k23_rlvect_2 A))) (= (= C (tptp.k24_rlvect_2 A B)) (= (tptp.u1_struct_0 C) (tptp.a_2_1_rlvect_2 A B))))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.l1_rlvect_1 B) (tptp.m1_rlvect_2 C B)) (= (tptp.r2_hidden A (tptp.a_2_0_rlvect_2 B C)) (exists ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (and (tptp.m1_subset_1 D _let_1) (= A D) (not (= (tptp.k8_funct_2 _let_1 tptp.k1_numbers C D) tptp.np__0)))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v7_rlvect_1 B) (tptp.l2_rlvect_1 B) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B)))) (= (tptp.r2_hidden A (tptp.a_2_1_rlvect_2 B C)) (exists ((D $$unsorted)) (and (tptp.m2_rlvect_2 D B C) (= A D)))))) (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))))))) (exists ((A $$unsorted)) (and (tptp.l1_metric_1 A) (tptp.v1_metric_1 A))) (exists ((A $$unsorted)) (and (tptp.l1_metric_1 A) (not (tptp.v3_struct_0 A)) (tptp.v1_metric_1 A))) (exists ((A $$unsorted)) (and (tptp.l1_metric_1 A) (not (tptp.v3_struct_0 A)) (tptp.v1_metric_1 A) (tptp.v6_metric_1 A) (tptp.v7_metric_1 A) (tptp.v8_metric_1 A) (tptp.v9_metric_1 A))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k6_metric_1 A))) (=> (not (tptp.v1_xboole_0 A)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v1_metric_1 _let_1))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k6_metric_1 A))) (and (tptp.v1_metric_1 _let_1) (tptp.v6_metric_1 _let_1) (tptp.v7_metric_1 _let_1) (tptp.v8_metric_1 _let_1) (tptp.v9_metric_1 _let_1)))) (and _let_44 _let_41) (and _let_44 _let_41 (tptp.v6_metric_1 tptp.k8_metric_1) (tptp.v7_metric_1 tptp.k8_metric_1) (tptp.v8_metric_1 tptp.k8_metric_1) (tptp.v9_metric_1 tptp.k8_metric_1)) (forall ((A $$unsorted)) (=> (tptp.l1_metric_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_metric_1 A B C) (tptp.k1_metric_1 _let_1 _let_1 (tptp.u1_metric_1 A) B C))))))))) (= tptp.k3_metric_1 (tptp.k2_funcop_1 _let_43 tptp.np__0)) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_funct_1 B) (tptp.m2_relset_1 B (tptp.k2_zfmisc_1 A A) tptp.k1_numbers)) (= (tptp.v2_metric_1 B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C A) (= (tptp.k1_metric_1 A A B C C) tptp.np__0)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_funct_1 B) (tptp.m2_relset_1 B (tptp.k2_zfmisc_1 A A) tptp.k1_numbers)) (= (tptp.v3_metric_1 B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C A) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D A) (=> (= (tptp.k1_metric_1 A A B C D) tptp.np__0) (= C D))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_funct_1 B) (tptp.m2_relset_1 B (tptp.k2_zfmisc_1 A A) tptp.k1_numbers)) (= (tptp.v4_metric_1 B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C A) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D A) (= (tptp.k1_metric_1 A A B C D) (tptp.k1_metric_1 A A B D C))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_funct_1 B) (tptp.m2_relset_1 B (tptp.k2_zfmisc_1 A A) tptp.k1_numbers)) (= (tptp.v5_metric_1 B A) (forall ((C $$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.r1_xreal_0 (tptp.k1_metric_1 A A B C E) (tptp.k3_real_1 (tptp.k1_metric_1 A A B C D) (tptp.k1_metric_1 A A B D E)))))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_metric_1 A) (= (tptp.v6_metric_1 A) (tptp.v2_metric_1 (tptp.u1_metric_1 A) (tptp.u1_struct_0 A))))) (forall ((A $$unsorted)) (=> (tptp.l1_metric_1 A) (= (tptp.v7_metric_1 A) (tptp.v3_metric_1 (tptp.u1_metric_1 A) (tptp.u1_struct_0 A))))) (forall ((A $$unsorted)) (=> (tptp.l1_metric_1 A) (= (tptp.v8_metric_1 A) (tptp.v4_metric_1 (tptp.u1_metric_1 A) (tptp.u1_struct_0 A))))) (forall ((A $$unsorted)) (=> (tptp.l1_metric_1 A) (= (tptp.v9_metric_1 A) (tptp.v5_metric_1 (tptp.u1_metric_1 A) (tptp.u1_struct_0 A))))) (forall ((A $$unsorted)) (=> (tptp.l1_metric_1 A) (= (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (= (tptp.k2_metric_1 A B B) tptp.np__0))) (tptp.v6_metric_1 A)))) (forall ((A $$unsorted)) (=> (tptp.l1_metric_1 A) (= (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (=> (= (tptp.k2_metric_1 A B C) tptp.np__0) (= B C)))))) (tptp.v7_metric_1 A)))) (forall ((A $$unsorted)) (=> (tptp.l1_metric_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_metric_1 A B C) (tptp.k2_metric_1 A C B)))))) (tptp.v8_metric_1 A)))) (forall ((A $$unsorted)) (=> (tptp.l1_metric_1 A) (= (forall ((B $$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.r1_xreal_0 (tptp.k2_metric_1 A B D) (tptp.k3_real_1 (tptp.k2_metric_1 A B C) (tptp.k2_metric_1 A C D))))))))) (tptp.v9_metric_1 A)))) (forall ((A $$unsorted)) (=> (and (tptp.v6_metric_1 A) (tptp.v8_metric_1 A) (tptp.v9_metric_1 A) (tptp.l1_metric_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (tptp.r1_xreal_0 tptp.np__0 (tptp.k4_metric_1 A B C)))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.l1_metric_1 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)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k2_metric_1 A B C))) (let ((_let_2 (= _let_1 tptp.np__0))) (let ((_let_3 (= B C))) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (and (=> _let_2 _let_3) (=> _let_3 _let_2) (= _let_1 (tptp.k2_metric_1 A C B)) (tptp.r1_xreal_0 (tptp.k2_metric_1 A B D) (tptp.k3_real_1 _let_1 (tptp.k2_metric_1 A C D))))))))))))) (and (tptp.v6_metric_1 A) (tptp.v7_metric_1 A) (tptp.v8_metric_1 A) (tptp.v9_metric_1 A) _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_1 tptp.k1_numbers) (tptp.m2_relset_1 B _let_1 tptp.k1_numbers)) (= (= B (tptp.k5_metric_1 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C A) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D A) (and (= (tptp.k1_metric_1 A A B C C) tptp.np__0) (=> (not (= C D)) (= (tptp.k1_metric_1 A A B C D) tptp.np__1))))))))))) (forall ((A $$unsorted)) (= (tptp.k6_metric_1 A) (tptp.g1_metric_1 A (tptp.k5_metric_1 A)))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 tptp.k1_numbers tptp.k1_numbers))) (=> (and (tptp.v1_funct_1 A) (tptp.v1_funct_2 A _let_1 tptp.k1_numbers) (tptp.m2_relset_1 A _let_1 tptp.k1_numbers)) (= (= A tptp.k7_metric_1) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.k1_numbers) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C tptp.k1_numbers) (= (tptp.k1_metric_1 tptp.k1_numbers tptp.k1_numbers A B C) (tptp.k18_complex1 (tptp.k5_real_1 B C))))))))))) true true (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.k1_numbers) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.k1_numbers) (= (= (tptp.k1_metric_1 tptp.k1_numbers tptp.k1_numbers tptp.k7_metric_1 A B) tptp.np__0) (= A B)))))) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.k1_numbers) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.k1_numbers) (= (tptp.k1_metric_1 tptp.k1_numbers tptp.k1_numbers tptp.k7_metric_1 A B) (tptp.k1_metric_1 tptp.k1_numbers tptp.k1_numbers tptp.k7_metric_1 B A)))))) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.k1_numbers) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.k1_numbers) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C tptp.k1_numbers) (tptp.r1_xreal_0 (tptp.k1_metric_1 tptp.k1_numbers tptp.k1_numbers tptp.k7_metric_1 A B) (tptp.k3_real_1 (tptp.k1_metric_1 tptp.k1_numbers tptp.k1_numbers tptp.k7_metric_1 A C) (tptp.k1_metric_1 tptp.k1_numbers tptp.k1_numbers tptp.k7_metric_1 C B))))))))) (= tptp.k8_metric_1 (tptp.g1_metric_1 tptp.k1_numbers tptp.k7_metric_1)) (forall ((A $$unsorted)) (=> (tptp.v1_xreal_0 A) (forall ((B $$unsorted)) (=> (tptp.l1_metric_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.r2_hidden D (tptp.k9_metric_1 B C A)) (and (not (tptp.v3_struct_0 B)) (not (tptp.r1_xreal_0 A (tptp.k2_metric_1 B C D))))))))))))) (forall ((A $$unsorted)) (=> (tptp.v1_xreal_0 A) (forall ((B $$unsorted)) (=> (tptp.l1_metric_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.r2_hidden D (tptp.k10_metric_1 B C A)) (and (not (tptp.v3_struct_0 B)) (tptp.r1_xreal_0 (tptp.k2_metric_1 B C D) A))))))))))) (forall ((A $$unsorted)) (=> (tptp.v1_xreal_0 A) (forall ((B $$unsorted)) (=> (tptp.l1_metric_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.r2_hidden D (tptp.k11_metric_1 B C A)) (and (not (tptp.v3_struct_0 B)) (= (tptp.k2_metric_1 B C D) A))))))))))) (forall ((A $$unsorted)) (=> (tptp.v1_xreal_0 A) (forall ((B $$unsorted)) (=> (tptp.l1_metric_1 B) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 B)) (tptp.r1_tarski (tptp.k9_metric_1 B C A) (tptp.k10_metric_1 B C A)))))))) (forall ((A $$unsorted)) (=> (tptp.v1_xreal_0 A) (forall ((B $$unsorted)) (=> (tptp.l1_metric_1 B) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 B)) (tptp.r1_tarski (tptp.k11_metric_1 B C A) (tptp.k10_metric_1 B C A)))))))) (forall ((A $$unsorted)) (=> (tptp.v1_xreal_0 A) (forall ((B $$unsorted)) (=> (tptp.l1_metric_1 B) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (=> (tptp.m1_subset_1 C _let_1) (= (tptp.k4_subset_1 _let_1 (tptp.k11_metric_1 B C A) (tptp.k9_metric_1 B C A)) (tptp.k10_metric_1 B C A))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_metric_1 A) (tptp.l1_struct_0 A))) (exists ((A $$unsorted)) (tptp.l1_metric_1 A)) (forall ((A $$unsorted)) (=> (tptp.l1_metric_1 A) (=> (tptp.v1_metric_1 A) (= A (tptp.g1_metric_1 (tptp.u1_struct_0 A) (tptp.u1_metric_1 A)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.m1_relset_1 C (tptp.k2_zfmisc_1 A B) tptp.k1_numbers) (tptp.m1_subset_1 D A) (tptp.m1_subset_1 E B)) (tptp.m1_subset_1 (tptp.k1_metric_1 A B C D E) tptp.k1_numbers))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.m1_relset_1 C (tptp.k2_zfmisc_1 A B) tptp.k1_numbers) (tptp.m1_subset_1 D A) (tptp.m1_subset_1 E B)) (= (tptp.k1_metric_1 A B C D E) (tptp.k1_binop_1 C D E)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (tptp.l1_metric_1 A) (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (tptp.m1_subset_1 (tptp.k2_metric_1 A B C) tptp.k1_numbers)))) (and (tptp.v1_funct_1 tptp.k3_metric_1) (tptp.v1_funct_2 tptp.k3_metric_1 _let_43 tptp.k1_numbers) (tptp.m2_relset_1 tptp.k3_metric_1 _let_43 tptp.k1_numbers)) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (tptp.v8_metric_1 A) (tptp.l1_metric_1 A) (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (tptp.m1_subset_1 (tptp.k4_metric_1 A B C) tptp.k1_numbers)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (tptp.v8_metric_1 A) (tptp.l1_metric_1 A) (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (= (tptp.k4_metric_1 A B C) (tptp.k4_metric_1 A C B))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (tptp.v8_metric_1 A) (tptp.l1_metric_1 A) (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (= (tptp.k4_metric_1 A B C) (tptp.k2_metric_1 A B C))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A A))) (let ((_let_2 (tptp.k5_metric_1 A))) (and (tptp.v1_funct_1 _let_2) (tptp.v1_funct_2 _let_2 _let_1 tptp.k1_numbers) (tptp.m2_relset_1 _let_2 _let_1 tptp.k1_numbers))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k6_metric_1 A))) (and (tptp.v1_metric_1 _let_1) (tptp.l1_metric_1 _let_1)))) (and (tptp.v1_funct_1 tptp.k7_metric_1) (tptp.v1_funct_2 tptp.k7_metric_1 _let_42 tptp.k1_numbers) (tptp.m2_relset_1 tptp.k7_metric_1 _let_42 tptp.k1_numbers)) (and _let_41 (tptp.l1_metric_1 tptp.k8_metric_1)) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (tptp.l1_metric_1 A) (tptp.m1_subset_1 B _let_1) (tptp.v1_xreal_0 C)) (tptp.m1_subset_1 (tptp.k9_metric_1 A B C) (tptp.k1_zfmisc_1 _let_1))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (tptp.l1_metric_1 A) (tptp.m1_subset_1 B _let_1) (tptp.v1_xreal_0 C)) (tptp.m1_subset_1 (tptp.k10_metric_1 A B C) (tptp.k1_zfmisc_1 _let_1))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (tptp.l1_metric_1 A) (tptp.m1_subset_1 B _let_1) (tptp.v1_xreal_0 C)) (tptp.m1_subset_1 (tptp.k11_metric_1 A B C) (tptp.k1_zfmisc_1 _let_1))))) (forall ((A $$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_metric_1 A))) (=> (tptp.l1_metric_1 A) (and (tptp.v1_funct_1 _let_3) (tptp.v1_funct_2 _let_3 _let_2 tptp.k1_numbers) (tptp.m2_relset_1 _let_3 _let_2 tptp.k1_numbers))))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.g1_metric_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 tptp.k1_numbers) (tptp.m1_relset_1 B _let_2 tptp.k1_numbers)) (and (tptp.v1_metric_1 _let_1) (tptp.l1_metric_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 tptp.k1_numbers) (tptp.m1_relset_1 B _let_1 tptp.k1_numbers)) (forall ((C $$unsorted) (D $$unsorted)) (=> (= (tptp.g1_metric_1 A B) (tptp.g1_metric_1 C D)) (and (= A C) (= B D))))))) (forall ((A $$unsorted)) (=> (tptp.l1_metric_1 A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.v1_xreal_0 C) (forall ((D $$unsorted)) (let ((_let_1 (= D (tptp.k9_metric_1 A B C)))) (let ((_let_2 (tptp.v3_struct_0 A))) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (and (=> (not _let_2) (= _let_1 (exists ((E $$unsorted)) (and (not (tptp.v3_struct_0 E)) (tptp.l1_metric_1 E) (exists ((F $$unsorted)) (and (tptp.m1_subset_1 F (tptp.u1_struct_0 E)) (= E A) (= F B) (= D (tptp.a_3_0_metric_1 C E F)))))))) (=> _let_2 (= _let_1 (tptp.v1_xboole_0 D)))))))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_metric_1 A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.v1_xreal_0 C) (forall ((D $$unsorted)) (let ((_let_1 (= D (tptp.k10_metric_1 A B C)))) (let ((_let_2 (tptp.v3_struct_0 A))) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (and (=> (not _let_2) (= _let_1 (exists ((E $$unsorted)) (and (not (tptp.v3_struct_0 E)) (tptp.l1_metric_1 E) (exists ((F $$unsorted)) (and (tptp.m1_subset_1 F (tptp.u1_struct_0 E)) (= E A) (= F B) (= D (tptp.a_3_1_metric_1 C E F)))))))) (=> _let_2 (= _let_1 (tptp.v1_xboole_0 D)))))))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_metric_1 A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.v1_xreal_0 C) (forall ((D $$unsorted)) (let ((_let_1 (= D (tptp.k11_metric_1 A B C)))) (let ((_let_2 (tptp.v3_struct_0 A))) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (and (=> (not _let_2) (= _let_1 (exists ((E $$unsorted)) (and (not (tptp.v3_struct_0 E)) (tptp.l1_metric_1 E) (exists ((F $$unsorted)) (and (tptp.m1_subset_1 F (tptp.u1_struct_0 E)) (= E A) (= F B) (= D (tptp.a_3_2_metric_1 C E F)))))))) (=> _let_2 (= _let_1 (tptp.v1_xboole_0 D)))))))))))))) (forall ((A $$unsorted)) (=> (tptp.v1_xreal_0 A) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.l1_metric_1 B)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 B)) (= (tptp.k9_metric_1 B C A) (tptp.a_3_0_metric_1 A B C)))))))) (forall ((A $$unsorted)) (=> (tptp.v1_xreal_0 A) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.l1_metric_1 B)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 B)) (= (tptp.k10_metric_1 B C A) (tptp.a_3_1_metric_1 A B C)))))))) (forall ((A $$unsorted)) (=> (tptp.v1_xreal_0 A) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.l1_metric_1 B)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 B)) (= (tptp.k11_metric_1 B C A) (tptp.a_3_2_metric_1 A B C)))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.v1_xreal_0 B) (not (tptp.v3_struct_0 C)) (tptp.l1_metric_1 C) (tptp.m1_subset_1 D (tptp.u1_struct_0 C))) (= (tptp.r2_hidden A (tptp.a_3_0_metric_1 B C D)) (exists ((E $$unsorted)) (and (tptp.m1_subset_1 E (tptp.u1_struct_0 C)) (= A E) (not (tptp.r1_xreal_0 B (tptp.k2_metric_1 C D E)))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.v1_xreal_0 B) (not (tptp.v3_struct_0 C)) (tptp.l1_metric_1 C) (tptp.m1_subset_1 D (tptp.u1_struct_0 C))) (= (tptp.r2_hidden A (tptp.a_3_1_metric_1 B C D)) (exists ((E $$unsorted)) (and (tptp.m1_subset_1 E (tptp.u1_struct_0 C)) (= A E) (tptp.r1_xreal_0 (tptp.k2_metric_1 C D E) B)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.v1_xreal_0 B) (not (tptp.v3_struct_0 C)) (tptp.l1_metric_1 C) (tptp.m1_subset_1 D (tptp.u1_struct_0 C))) (= (tptp.r2_hidden A (tptp.a_3_2_metric_1 B C D)) (exists ((E $$unsorted)) (and (tptp.m1_subset_1 E (tptp.u1_struct_0 C)) (= A E) (= (tptp.k2_metric_1 C D E) 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)) (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))))))) (forall ((A $$unsorted)) (let ((_let_1 (not (tptp.v3_struct_0 A)))) (=> (tptp.l1_vectsp_1 A) (=> (and _let_1 (tptp.v1_vectsp_2 A)) (and _let_1 (tptp.v2_group_1 A) (tptp.v6_vectsp_1 A) (tptp.v8_vectsp_1 A)))))) (exists ((A $$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.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))) (exists ((A $$unsorted)) (and (tptp.l3_vectsp_1 A) (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v2_group_1 A) (tptp.v4_group_1 A) (tptp.v3_vectsp_1 A) (tptp.v4_vectsp_1 A) (tptp.v5_vectsp_1 A) (tptp.v6_vectsp_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A))) (exists ((A $$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.v4_vectsp_1 A) (tptp.v5_vectsp_1 A) (tptp.v6_vectsp_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A))) (exists ((A $$unsorted)) (and (tptp.l3_vectsp_1 A) (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v2_group_1 A) (tptp.v4_group_1 A) (tptp.v7_group_1 A) (tptp.v3_vectsp_1 A) (tptp.v4_vectsp_1 A) (tptp.v5_vectsp_1 A) (tptp.v6_vectsp_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A))) (exists ((A $$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) (not (tptp.v10_vectsp_1 A)) (tptp.v2_vectsp_2 A))) (exists ((A $$unsorted)) (and (tptp.l3_vectsp_1 A) (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v2_group_1 A) (tptp.v4_group_1 A) (tptp.v4_vectsp_1 A) (tptp.v5_vectsp_1 A) (tptp.v6_vectsp_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.v9_vectsp_1 A) (not (tptp.v10_vectsp_1 A)))) (exists ((A $$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.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 $$unsorted)) (let ((_let_1 (tptp.v8_vectsp_1 A))) (let ((_let_2 (not (tptp.v3_struct_0 A)))) (=> (tptp.l1_vectsp_1 A) (=> (and _let_2 (tptp.v7_group_1 A) _let_1) (and _let_2 (tptp.v2_group_1 A) (tptp.v6_vectsp_1 A) _let_1)))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.v6_vectsp_1 A))) (let ((_let_2 (not (tptp.v3_struct_0 A)))) (=> (tptp.l1_vectsp_1 A) (=> (and _let_2 (tptp.v7_group_1 A) _let_1) (and _let_2 (tptp.v2_group_1 A) _let_1 (tptp.v8_vectsp_1 A))))))) (forall ((A $$unsorted)) (=> (tptp.l1_struct_0 A) (exists ((B $$unsorted)) (and (tptp.l1_vectsp_2 B A) (tptp.v3_vectsp_2 B A))))) (forall ((A $$unsorted)) (=> (tptp.l1_struct_0 A) (exists ((B $$unsorted)) (and (tptp.l1_vectsp_2 B A) (not (tptp.v3_struct_0 B)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (let ((_let_1 (tptp.g1_vectsp_2 A B C D E))) (let ((_let_2 (tptp.k2_zfmisc_1 B (tptp.u1_struct_0 A)))) (let ((_let_3 (tptp.k2_zfmisc_1 B B))) (=> (and (tptp.l1_struct_0 A) (not (tptp.v1_xboole_0 B)) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_3 B) (tptp.m1_relset_1 C _let_3 B) (tptp.m1_subset_1 D B) (tptp.v1_funct_1 E) (tptp.v1_funct_2 E _let_2 B) (tptp.m1_relset_1 E _let_2 B)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v3_vectsp_2 _let_1 A))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.l1_struct_0 A) (tptp.l1_struct_0 B)) (exists ((C $$unsorted)) (and (tptp.l2_vectsp_2 C A B) (tptp.v4_vectsp_2 C A B))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.l1_struct_0 A) (tptp.l1_struct_0 B)) (exists ((C $$unsorted)) (and (tptp.l2_vectsp_2 C A B) (not (tptp.v3_struct_0 C)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted) (G $$unsorted)) (let ((_let_1 (tptp.g2_vectsp_2 A B C D E F G))) (let ((_let_2 (tptp.k2_zfmisc_1 C (tptp.u1_struct_0 B)))) (let ((_let_3 (tptp.k2_zfmisc_1 (tptp.u1_struct_0 A) C))) (let ((_let_4 (tptp.k2_zfmisc_1 C C))) (=> (and (tptp.l1_struct_0 A) (tptp.l1_struct_0 B) (not (tptp.v1_xboole_0 C)) (tptp.v1_funct_1 D) (tptp.v1_funct_2 D _let_4 C) (tptp.m1_relset_1 D _let_4 C) (tptp.m1_subset_1 E C) (tptp.v1_funct_1 F) (tptp.v1_funct_2 F _let_3 C) (tptp.m1_relset_1 F _let_3 C) (tptp.v1_funct_1 G) (tptp.v1_funct_2 G _let_2 C) (tptp.m1_relset_1 G _let_2 C)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v4_vectsp_2 _let_1 A B)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v6_vectsp_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A)) (exists ((B $$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))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v6_vectsp_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A)) (exists ((B $$unsorted)) (and (tptp.l1_vectsp_2 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.v3_vectsp_2 B A))))) (forall ((A $$unsorted) (B $$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) (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.v4_group_1 B) (tptp.v6_vectsp_1 B) (tptp.v7_vectsp_1 B) (tptp.v8_vectsp_1 B) (tptp.l3_vectsp_1 B)) (exists ((C $$unsorted)) (and (tptp.l2_vectsp_2 C A B) (not (tptp.v3_struct_0 C)) (tptp.v3_rlvect_1 C) (tptp.v4_rlvect_1 C) (tptp.v5_rlvect_1 C) (tptp.v6_rlvect_1 C) (tptp.v4_vectsp_2 C A B))))) (forall ((A $$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.v4_group_1 A) (tptp.v6_vectsp_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 (tptp.k4_vectsp_2 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.v4_group_1 A) (tptp.v6_vectsp_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 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.v5_rlvect_1 _let_1) (tptp.v6_rlvect_1 _let_1) (tptp.v11_vectsp_1 _let_1 A) (tptp.v12_vectsp_1 _let_1 A))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v6_vectsp_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A)) (exists ((B $$unsorted)) (and (tptp.l1_vectsp_2 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.v3_vectsp_2 B A) (tptp.v5_vectsp_2 B A))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k5_vectsp_2 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v6_vectsp_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v3_rlvect_1 _let_1) (tptp.v4_rlvect_1 _let_1) (tptp.v5_rlvect_1 _let_1) (tptp.v6_rlvect_1 _let_1) (tptp.v3_vectsp_2 _let_1 A) (tptp.v5_vectsp_2 _let_1 A))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v6_vectsp_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A) (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v4_group_1 B) (tptp.v6_vectsp_1 B) (tptp.v7_vectsp_1 B) (tptp.v8_vectsp_1 B) (tptp.l3_vectsp_1 B)) (exists ((C $$unsorted)) (and (tptp.l2_vectsp_2 C A B) (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.v12_vectsp_1 C A) (tptp.v4_vectsp_2 C A B) (tptp.v5_vectsp_2 C B) (tptp.v6_vectsp_2 C A B))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k9_vectsp_2 A B))) (=> (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) (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.v4_group_1 B) (tptp.v6_vectsp_1 B) (tptp.v7_vectsp_1 B) (tptp.v8_vectsp_1 B) (tptp.l3_vectsp_1 B)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v3_rlvect_1 _let_1) (tptp.v4_rlvect_1 _let_1) (tptp.v5_rlvect_1 _let_1) (tptp.v6_rlvect_1 _let_1) (tptp.v12_vectsp_1 _let_1 A) (tptp.v4_vectsp_2 _let_1 A B) (tptp.v5_vectsp_2 _let_1 B) (tptp.v6_vectsp_2 _let_1 A B))))) true (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_vectsp_1 A)) (= (tptp.v1_vectsp_2 A) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k2_vectsp_1 A))) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (and (= (tptp.k1_group_1 A B _let_1) B) (= (tptp.k1_group_1 A _let_1 B) B)))))))) (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))) (let ((_let_2 (tptp.k1_group_1 A B C))) (let ((_let_3 (tptp.k2_group_1 A))) (let ((_let_4 (tptp.k1_rlvect_1 A))) (let ((_let_5 (tptp.k2_rlvect_1 A B C))) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (and (= _let_5 (tptp.k2_rlvect_1 A C B)) (= (tptp.k2_rlvect_1 A _let_5 D) (tptp.k2_rlvect_1 A B _let_1)) (= (tptp.k2_rlvect_1 A B _let_4) B) (= (tptp.k2_rlvect_1 A B (tptp.k5_rlvect_1 A B)) _let_4) (= (tptp.k1_group_1 A B _let_3) B) (= (tptp.k1_group_1 A _let_3 B) B) (= (tptp.k1_group_1 A _let_2 D) (tptp.k1_group_1 A B (tptp.k1_group_1 A C D))) (= (tptp.k1_group_1 A B _let_1) (tptp.k2_rlvect_1 A _let_2 (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.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) _let_1)))))) true true (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l2_vectsp_1 A)) (= (tptp.v2_vectsp_2 A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k1_rlvect_1 A))) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (not (and (= (tptp.k1_group_1 A B C) _let_1) (not (= B _let_1)) (not (= C _let_1)))))))))))) true true true true true true true true true true true (forall ((A $$unsorted)) (let ((_let_1 (tptp.l3_vectsp_1 A))) (let ((_let_2 (not (tptp.v10_vectsp_1 A)))) (let ((_let_3 (tptp.v8_vectsp_1 A))) (let ((_let_4 (tptp.v7_vectsp_1 A))) (let ((_let_5 (tptp.v7_group_1 A))) (let ((_let_6 (tptp.v4_group_1 A))) (let ((_let_7 (tptp.v6_rlvect_1 A))) (let ((_let_8 (tptp.v5_rlvect_1 A))) (let ((_let_9 (tptp.v4_rlvect_1 A))) (let ((_let_10 (tptp.v3_rlvect_1 A))) (let ((_let_11 (not (tptp.v3_struct_0 A)))) (=> (and _let_11 _let_10 _let_9 _let_8 _let_7 _let_6 _let_5 _let_4 _let_3 (tptp.v9_vectsp_1 A) _let_2 _let_1) (and _let_11 _let_10 _let_9 _let_8 _let_7 _let_6 _let_5 (tptp.v6_vectsp_1 A) _let_4 _let_3 _let_2 (tptp.v2_vectsp_2 A) _let_1)))))))))))))) true true (forall ((A $$unsorted)) (let ((_let_1 (tptp.l3_vectsp_1 A))) (let ((_let_2 (tptp.v8_vectsp_1 A))) (let ((_let_3 (tptp.v7_vectsp_1 A))) (let ((_let_4 (tptp.v6_vectsp_1 A))) (let ((_let_5 (tptp.v4_group_1 A))) (let ((_let_6 (tptp.v6_rlvect_1 A))) (let ((_let_7 (tptp.v5_rlvect_1 A))) (let ((_let_8 (tptp.v4_rlvect_1 A))) (let ((_let_9 (tptp.v3_rlvect_1 A))) (let ((_let_10 (not (tptp.v3_struct_0 A)))) (=> (and _let_10 _let_9 _let_8 _let_7 _let_6 _let_5 _let_4 _let_3 _let_2 _let_1) (=> (forall ((B $$unsorted)) (let ((_let_1 (tptp.k1_rlvect_1 A))) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (and (not (and (not (= B _let_1)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (not (= (tptp.k1_group_1 A B C) (tptp.k2_group_1 A))))))) (not (= _let_1 (tptp.k2_group_1 A))))))) (and _let_10 _let_9 _let_8 _let_7 _let_6 _let_5 _let_4 _let_3 _let_2 (tptp.v9_vectsp_1 A) (not (tptp.v10_vectsp_1 A)) _let_1)))))))))))))) true true true true true (forall ((A $$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.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 $$unsorted)) (let ((_let_1 (= (tptp.k4_rlvect_1 A B C) D))) (let ((_let_2 (= C (tptp.k6_rlvect_1 A D B)))) (let ((_let_3 (= B (tptp.k6_rlvect_1 A D C)))) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (and (=> _let_1 _let_3) (=> _let_3 _let_1) (=> _let_1 _let_2) (=> _let_2 _let_1))))))))))))) true true true true true true true true true true true (forall ((A $$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 $$unsorted)) (let ((_let_1 (tptp.k1_rlvect_1 A))) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (= (= B _let_1) (= (tptp.k5_rlvect_1 A B) _let_1))))))) true true true (forall ((A $$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.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 $$unsorted)) (and (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (= B (tptp.k4_rlvect_1 A C D)) (= B (tptp.k4_rlvect_1 A D C)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v7_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)) (let ((_let_1 (tptp.k1_rlvect_1 A))) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (=> (= (tptp.k1_group_1 A B C) (tptp.k2_group_1 A)) (and (not (= B _let_1)) (not (= C _let_1))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v6_vectsp_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.v9_vectsp_1 A) (not (tptp.v10_vectsp_1 A)) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (not (and (not (= B (tptp.k1_rlvect_1 A))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (not (= (tptp.k1_group_1 A C B) (tptp.k2_group_1 A))))))))))) (forall ((A $$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.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.l3_vectsp_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)) (=> (= (tptp.k1_group_1 A B C) _let_1) (= (tptp.k1_group_1 A C B) _let_1))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v2_group_1 A) (tptp.v4_group_1 A) (tptp.v7_vectsp_1 A) (tptp.v9_vectsp_1 A) (not (tptp.v10_vectsp_1 A)) (tptp.l3_vectsp_1 A)) (forall ((B $$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)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (=> (= (tptp.k1_group_1 A B C) (tptp.k1_group_1 A B D)) (or (= B (tptp.k1_rlvect_1 A)) (= C D))))))))))) true (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v2_group_1 A) (tptp.v4_group_1 A) (tptp.v7_vectsp_1 A) (tptp.v9_vectsp_1 A) (not (tptp.v10_vectsp_1 A)) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (=> (not (= B (tptp.k1_rlvect_1 A))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (= C (tptp.k1_vectsp_2 A B)) (= (tptp.k1_group_1 A B C) (tptp.k2_group_1 A)))))))))) (forall ((A $$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.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.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.k2_vectsp_2 A B C) (tptp.k1_group_1 A B (tptp.k1_vectsp_2 A C))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v6_vectsp_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.v9_vectsp_1 A) (not (tptp.v10_vectsp_1 A)) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k2_group_1 A))) (let ((_let_2 (tptp.k1_vectsp_2 A B))) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (=> (not (= B (tptp.k1_rlvect_1 A))) (and (= (tptp.k1_group_1 A B _let_2) _let_1) (= (tptp.k1_group_1 A _let_2 B) _let_1))))))))) true (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v6_vectsp_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.v9_vectsp_1 A) (not (tptp.v10_vectsp_1 A)) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (=> (= (tptp.k1_group_1 A B C) (tptp.k2_group_1 A)) (and (= B (tptp.k1_vectsp_2 A C)) (= C (tptp.k1_vectsp_2 A B)))))))))) (forall ((A $$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.v4_group_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.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)) (not (and (not (= B _let_1)) (not (= C _let_1)) (not (= (tptp.k1_group_1 A (tptp.k1_vectsp_2 A B) (tptp.k1_vectsp_2 A C)) (tptp.k1_vectsp_2 A (tptp.k1_group_1 A C B))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v6_vectsp_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.v9_vectsp_1 A) (not (tptp.v10_vectsp_1 A)) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k1_rlvect_1 A))) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (not (and (= (tptp.k1_group_1 A B C) _let_1) (not (= B _let_1)) (not (= C _let_1))))))))))) (forall ((A $$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.v4_group_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.l3_vectsp_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k1_rlvect_1 A))) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (not (and (not (= B _let_1)) (= (tptp.k1_vectsp_2 A B) _let_1)))))))) (forall ((A $$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.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.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (=> (not (= B (tptp.k1_rlvect_1 A))) (= (tptp.k1_vectsp_2 A (tptp.k1_vectsp_2 A B)) B)))))) (forall ((A $$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.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.l3_vectsp_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k1_vectsp_2 A B))) (let ((_let_2 (tptp.k2_group_1 A))) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (=> (not (= B (tptp.k1_rlvect_1 A))) (and (= (tptp.k2_vectsp_2 A _let_2 B) _let_1) (= (tptp.k2_vectsp_2 A _let_2 _let_1) B))))))))) (forall ((A $$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.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.l3_vectsp_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k2_group_1 A))) (let ((_let_2 (tptp.k2_vectsp_2 A _let_1 B))) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (=> (not (= B (tptp.k1_rlvect_1 A))) (and (= (tptp.k1_group_1 A B _let_2) _let_1) (= (tptp.k1_group_1 A _let_2 B) _let_1))))))))) (forall ((A $$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.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.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (=> (not (= B (tptp.k1_rlvect_1 A))) (= (tptp.k2_vectsp_2 A B B) (tptp.k2_group_1 A))))))) (forall ((A $$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.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.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 $$unsorted)) (let ((_let_1 (tptp.k1_rlvect_1 A))) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (not (and (not (= B _let_1)) (not (= C _let_1)) (not (= (tptp.k2_vectsp_2 A D B) (tptp.k2_vectsp_2 A (tptp.k1_group_1 A D C) (tptp.k1_group_1 A B C))))))))))))))) (forall ((A $$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.v4_group_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.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k5_rlvect_1 A (tptp.k2_vectsp_2 A C B)))) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (=> (not (= B (tptp.k1_rlvect_1 A))) (and (= _let_1 (tptp.k2_vectsp_2 A (tptp.k5_rlvect_1 A C) B)) (= (tptp.k2_vectsp_2 A C (tptp.k5_rlvect_1 A B)) _let_1)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v6_vectsp_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.v9_vectsp_1 A) (not (tptp.v10_vectsp_1 A)) (tptp.l3_vectsp_1 A)) (forall ((B $$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.k2_vectsp_2 A D B))) (let ((_let_2 (tptp.k2_vectsp_2 A C B))) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (=> (not (= B (tptp.k1_rlvect_1 A))) (and (= (tptp.k4_rlvect_1 A _let_2 _let_1) (tptp.k2_vectsp_2 A (tptp.k4_rlvect_1 A C D) B)) (= (tptp.k6_rlvect_1 A _let_2 _let_1) (tptp.k2_vectsp_2 A (tptp.k6_rlvect_1 A C D) B)))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v6_vectsp_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.v9_vectsp_1 A) (not (tptp.v10_vectsp_1 A)) (tptp.l3_vectsp_1 A)) (forall ((B $$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))) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (not (and (not (= B _let_1)) (not (= C _let_1)) (not (= (tptp.k2_vectsp_2 A D (tptp.k2_vectsp_2 A B C)) (tptp.k2_vectsp_2 A (tptp.k1_group_1 A D C) B)))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v6_vectsp_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.v9_vectsp_1 A) (not (tptp.v10_vectsp_1 A)) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (=> (not (= B (tptp.k1_rlvect_1 A))) (= (tptp.k1_group_1 A (tptp.k2_vectsp_2 A C B) B) C)))))))) (forall ((A $$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)) (= (tptp.k3_vectsp_2 A) (tptp.g1_rlvect_1 (tptp.u1_struct_0 A) (tptp.u1_rlvect_1 A) (tptp.u2_struct_0 A))))) true (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v6_vectsp_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A)) (= (tptp.k4_vectsp_2 A) (tptp.g4_vectsp_1 A (tptp.u1_struct_0 A) (tptp.u1_rlvect_1 A) (tptp.u2_struct_0 A) (tptp.u1_group_1 A))))) true true (forall ((A $$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.v6_vectsp_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A)) (= (tptp.k5_vectsp_2 A) (tptp.g1_vectsp_2 A (tptp.u1_struct_0 A) (tptp.u1_rlvect_1 A) (tptp.u2_struct_0 A) (tptp.u1_group_1 A))))) (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.l1_vectsp_2 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_2 A B C D) (tptp.k2_binop_1 _let_1 (tptp.u1_struct_0 A) _let_1 (tptp.u1_vectsp_2 A B) D C))))))))))) true (forall ((A $$unsorted)) (let ((_let_1 (tptp.k1_tarski tptp.k1_xboole_0))) (=> (and (tptp.v1_funct_1 A) (tptp.v1_funct_2 A _let_1 _let_1) (tptp.m2_relset_1 A _let_1 _let_1)) (= A tptp.k7_vectsp_2)))) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A (tptp.k1_tarski tptp.k1_xboole_0)) (= A tptp.k8_vectsp_2))) true true (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v6_vectsp_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k1_tarski tptp.k1_xboole_0))) (=> (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.v4_group_1 B) (tptp.v6_vectsp_1 B) (tptp.v7_vectsp_1 B) (tptp.v8_vectsp_1 B) (tptp.l3_vectsp_1 B)) (= (tptp.k9_vectsp_2 A B) (tptp.g2_vectsp_2 A B _let_1 tptp.k2_midsp_1 tptp.k8_vectsp_2 (tptp.k10_funct_3 (tptp.u1_struct_0 A) _let_1) (tptp.k9_funct_3 _let_1 (tptp.u1_struct_0 B))))))))) true true true true true true true true true true true true true (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v6_vectsp_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 (tptp.k4_vectsp_2 A))) (forall ((E $$unsorted)) (let ((_let_1 (tptp.k4_vectsp_2 A))) (let ((_let_2 (tptp.k6_vectsp_1 A _let_1 C D))) (let ((_let_3 (tptp.k6_vectsp_1 A _let_1 B D))) (=> (tptp.m1_subset_1 E (tptp.u1_struct_0 _let_1)) (and (= (tptp.k6_vectsp_1 A _let_1 B (tptp.k4_rlvect_1 _let_1 D E)) (tptp.k4_rlvect_1 _let_1 _let_3 (tptp.k6_vectsp_1 A _let_1 B E))) (= (tptp.k6_vectsp_1 A _let_1 (tptp.k4_rlvect_1 A B C) D) (tptp.k4_rlvect_1 _let_1 _let_3 _let_2)) (= (tptp.k6_vectsp_1 A _let_1 (tptp.k1_group_1 A B C) D) (tptp.k6_vectsp_1 A _let_1 B _let_2)) (= (tptp.k6_vectsp_1 A _let_1 (tptp.k2_group_1 A) D) D))))))))))))))) true true true true true (forall ((A $$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.v6_vectsp_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)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 (tptp.k5_vectsp_2 A))) (forall ((E $$unsorted)) (let ((_let_1 (tptp.k5_vectsp_2 A))) (let ((_let_2 (tptp.k6_vectsp_2 A _let_1 C D))) (let ((_let_3 (tptp.k6_vectsp_2 A _let_1 B D))) (=> (tptp.m1_subset_1 E (tptp.u1_struct_0 _let_1)) (and (= (tptp.k6_vectsp_2 A _let_1 B (tptp.k4_rlvect_1 _let_1 D E)) (tptp.k4_rlvect_1 _let_1 _let_3 (tptp.k6_vectsp_2 A _let_1 B E))) (= (tptp.k6_vectsp_2 A _let_1 (tptp.k4_rlvect_1 A B C) D) (tptp.k4_rlvect_1 _let_1 _let_3 _let_2)) (= (tptp.k6_vectsp_2 A _let_1 (tptp.k1_group_1 A C B) D) (tptp.k6_vectsp_2 A _let_1 B _let_2)) (= (tptp.k6_vectsp_2 A _let_1 (tptp.k2_group_1 A) D) D))))))))))))))) true (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.l1_vectsp_2 B A)) (= (tptp.v5_vectsp_2 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_2 A B D E))) (let ((_let_2 (tptp.k6_vectsp_2 A B C E))) (=> (tptp.m1_subset_1 F (tptp.u1_struct_0 B)) (and (= (tptp.k6_vectsp_2 A B C (tptp.k2_rlvect_1 B E F)) (tptp.k2_rlvect_1 B _let_2 (tptp.k6_vectsp_2 A B C F))) (= (tptp.k6_vectsp_2 A B (tptp.k2_rlvect_1 A C D) E) (tptp.k2_rlvect_1 B _let_2 _let_1)) (= (tptp.k6_vectsp_2 A B (tptp.k1_group_1 A D C) E) (tptp.k6_vectsp_2 A B C _let_1)) (= (tptp.k6_vectsp_2 A B (tptp.k2_group_1 A) E) E))))))))))))))))) (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.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v4_group_1 B) (tptp.v6_vectsp_1 B) (tptp.v7_vectsp_1 B) (tptp.v8_vectsp_1 B) (tptp.l3_vectsp_1 B)) (forall ((C $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.l2_vectsp_2 C A B)) (= (tptp.v6_vectsp_2 C A B) (forall ((D $$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 C)) (= (tptp.k6_vectsp_1 A C D (tptp.k6_vectsp_2 B C E F)) (tptp.k6_vectsp_2 B C E (tptp.k6_vectsp_1 A C D F)))))))))))))))) true true true true true (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v6_vectsp_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v4_group_1 B) (tptp.v6_vectsp_1 B) (tptp.v7_vectsp_1 B) (tptp.v8_vectsp_1 B) (tptp.l3_vectsp_1 B)) (forall ((C $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.l2_vectsp_2 C A B)) (= (forall ((D $$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 B)) (forall ((G $$unsorted)) (=> (tptp.m1_subset_1 G (tptp.u1_struct_0 B)) (forall ((H $$unsorted)) (=> (tptp.m1_subset_1 H (tptp.u1_struct_0 C)) (forall ((I $$unsorted)) (let ((_let_1 (tptp.k6_vectsp_1 A C D H))) (let ((_let_2 (tptp.k6_vectsp_2 B C F H))) (let ((_let_3 (tptp.k6_vectsp_2 B C G H))) (let ((_let_4 (tptp.k2_rlvect_1 C H I))) (let ((_let_5 (tptp.k6_vectsp_1 A C E H))) (=> (tptp.m1_subset_1 I (tptp.u1_struct_0 C)) (and (= (tptp.k6_vectsp_1 A C D _let_4) (tptp.k2_rlvect_1 C _let_1 (tptp.k6_vectsp_1 A C D I))) (= (tptp.k6_vectsp_1 A C (tptp.k4_rlvect_1 A D E) H) (tptp.k2_rlvect_1 C _let_1 _let_5)) (= (tptp.k6_vectsp_1 A C (tptp.k1_group_1 A D E) H) (tptp.k6_vectsp_1 A C D _let_5)) (= (tptp.k6_vectsp_1 A C (tptp.k2_group_1 A) H) H) (= (tptp.k6_vectsp_2 B C F _let_4) (tptp.k2_rlvect_1 C _let_2 (tptp.k6_vectsp_2 B C F I))) (= (tptp.k6_vectsp_2 B C (tptp.k4_rlvect_1 B F G) H) (tptp.k2_rlvect_1 C _let_2 _let_3)) (= (tptp.k6_vectsp_2 B C (tptp.k1_group_1 B G F) H) (tptp.k6_vectsp_2 B C F _let_3)) (= (tptp.k6_vectsp_2 B C (tptp.k2_group_1 B) H) H) (= (tptp.k6_vectsp_1 A C D _let_2) (tptp.k6_vectsp_2 B C F _let_1)))))))))))))))))))) (and (tptp.v5_vectsp_2 C B) (tptp.v12_vectsp_1 C A) (tptp.v6_vectsp_2 C A B))))))))) (forall ((A $$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.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 $$unsorted)) (let ((_let_1 (tptp.k9_vectsp_2 A B))) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v4_group_1 B) (tptp.v6_vectsp_1 B) (tptp.v7_vectsp_1 B) (tptp.v8_vectsp_1 B) (tptp.l3_vectsp_1 B)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v3_rlvect_1 _let_1) (tptp.v4_rlvect_1 _let_1) (tptp.v5_rlvect_1 _let_1) (tptp.v6_rlvect_1 _let_1) (tptp.v12_vectsp_1 _let_1 A) (tptp.v5_vectsp_2 _let_1 B) (tptp.v6_vectsp_2 _let_1 A B) (tptp.l2_vectsp_2 _let_1 A B))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_vectsp_1 A)) (=> (tptp.v1_vectsp_2 A) (= (tptp.k2_vectsp_1 A) (tptp.k2_group_1 A))))) (forall ((A $$unsorted)) (=> (tptp.l1_struct_0 A) (forall ((B $$unsorted)) (=> (tptp.l1_vectsp_2 B A) (tptp.l1_rlvect_1 B))))) (forall ((A $$unsorted)) (=> (tptp.l1_struct_0 A) (exists ((B $$unsorted)) (tptp.l1_vectsp_2 B A)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.l1_struct_0 A) (tptp.l1_struct_0 B)) (forall ((C $$unsorted)) (=> (tptp.l2_vectsp_2 C A B) (and (tptp.l4_vectsp_1 C A) (tptp.l1_vectsp_2 C B)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.l1_struct_0 A) (tptp.l1_struct_0 B)) (exists ((C $$unsorted)) (tptp.l2_vectsp_2 C A B)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.l1_struct_0 A) (tptp.l1_vectsp_2 B A)) (=> (tptp.v3_vectsp_2 B A) (= B (tptp.g1_vectsp_2 A (tptp.u1_struct_0 B) (tptp.u1_rlvect_1 B) (tptp.u2_struct_0 B) (tptp.u1_vectsp_2 A B)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.l1_struct_0 A) (tptp.l1_struct_0 B) (tptp.l2_vectsp_2 C A B)) (=> (tptp.v4_vectsp_2 C A B) (= C (tptp.g2_vectsp_2 A B (tptp.u1_struct_0 C) (tptp.u1_rlvect_1 C) (tptp.u2_struct_0 C) (tptp.u2_vectsp_1 B C) (tptp.u1_vectsp_2 B C)))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v2_group_1 A) (tptp.v4_group_1 A) (tptp.v7_vectsp_1 A) (tptp.v9_vectsp_1 A) (not (tptp.v10_vectsp_1 A)) (tptp.l3_vectsp_1 A) (tptp.m1_subset_1 B _let_1)) (tptp.m1_subset_1 (tptp.k1_vectsp_2 A B) _let_1)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.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.v9_vectsp_1 A) (not (tptp.v10_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.k2_vectsp_2 A B C) _let_1)))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k3_vectsp_2 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.l1_rlvect_1 A)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v1_rlvect_1 _let_1) (tptp.v3_rlvect_1 _let_1) (tptp.v4_rlvect_1 _let_1) (tptp.v5_rlvect_1 _let_1) (tptp.v6_rlvect_1 _let_1) (tptp.l1_rlvect_1 _let_1))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k4_vectsp_2 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.v4_group_1 A) (tptp.v6_vectsp_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 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.v5_rlvect_1 _let_1) (tptp.v6_rlvect_1 _let_1) (tptp.v11_vectsp_1 _let_1 A) (tptp.l4_vectsp_1 _let_1 A))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k5_vectsp_2 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v6_vectsp_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v3_rlvect_1 _let_1) (tptp.v4_rlvect_1 _let_1) (tptp.v5_rlvect_1 _let_1) (tptp.v6_rlvect_1 _let_1) (tptp.v3_vectsp_2 _let_1 A) (tptp.l1_vectsp_2 _let_1 A))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_struct_0 A) (not (tptp.v3_struct_0 B)) (tptp.l1_vectsp_2 B A) (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (tptp.m1_subset_1 D _let_1)) (tptp.m1_subset_1 (tptp.k6_vectsp_2 A B C D) _let_1)))) (and (tptp.v1_funct_1 tptp.k7_vectsp_2) (tptp.v1_funct_2 tptp.k7_vectsp_2 _let_17 _let_17) (tptp.m2_relset_1 tptp.k7_vectsp_2 _let_17 _let_17)) (tptp.m1_subset_1 tptp.k8_vectsp_2 _let_17) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k9_vectsp_2 A B))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v6_vectsp_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A) (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v4_group_1 B) (tptp.v6_vectsp_1 B) (tptp.v7_vectsp_1 B) (tptp.v8_vectsp_1 B) (tptp.l3_vectsp_1 B)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v3_rlvect_1 _let_1) (tptp.v4_rlvect_1 _let_1) (tptp.v5_rlvect_1 _let_1) (tptp.v6_rlvect_1 _let_1) (tptp.v4_vectsp_2 _let_1 A B) (tptp.l2_vectsp_2 _let_1 A B))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.k2_zfmisc_1 _let_1 (tptp.u1_struct_0 A)))) (let ((_let_3 (tptp.u1_vectsp_2 A B))) (=> (and (tptp.l1_struct_0 A) (tptp.l1_vectsp_2 B A)) (and (tptp.v1_funct_1 _let_3) (tptp.v1_funct_2 _let_3 _let_2 _let_1) (tptp.m2_relset_1 _let_3 _let_2 _let_1))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (let ((_let_1 (tptp.g1_vectsp_2 A B C D E))) (let ((_let_2 (tptp.k2_zfmisc_1 B (tptp.u1_struct_0 A)))) (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.v3_vectsp_2 _let_1 A) (tptp.l1_vectsp_2 _let_1 A))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 B (tptp.u1_struct_0 A)))) (let ((_let_2 (tptp.k2_zfmisc_1 B B))) (=> (and (tptp.l1_struct_0 A) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 B) (tptp.m1_relset_1 C _let_2 B) (tptp.m1_subset_1 D B) (tptp.v1_funct_1 E) (tptp.v1_funct_2 E _let_1 B) (tptp.m1_relset_1 E _let_1 B)) (forall ((F $$unsorted) (G $$unsorted) (H $$unsorted) (I $$unsorted) (J $$unsorted)) (=> (= (tptp.g1_vectsp_2 A B C D E) (tptp.g1_vectsp_2 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 $$unsorted) (F $$unsorted) (G $$unsorted)) (let ((_let_1 (tptp.g2_vectsp_2 A B C D E F G))) (let ((_let_2 (tptp.k2_zfmisc_1 C (tptp.u1_struct_0 B)))) (let ((_let_3 (tptp.k2_zfmisc_1 (tptp.u1_struct_0 A) C))) (let ((_let_4 (tptp.k2_zfmisc_1 C C))) (=> (and (tptp.l1_struct_0 A) (tptp.l1_struct_0 B) (tptp.v1_funct_1 D) (tptp.v1_funct_2 D _let_4 C) (tptp.m1_relset_1 D _let_4 C) (tptp.m1_subset_1 E C) (tptp.v1_funct_1 F) (tptp.v1_funct_2 F _let_3 C) (tptp.m1_relset_1 F _let_3 C) (tptp.v1_funct_1 G) (tptp.v1_funct_2 G _let_2 C) (tptp.m1_relset_1 G _let_2 C)) (and (tptp.v4_vectsp_2 _let_1 A B) (tptp.l2_vectsp_2 _let_1 A B)))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted) (G $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 C (tptp.u1_struct_0 B)))) (let ((_let_2 (tptp.k2_zfmisc_1 (tptp.u1_struct_0 A) C))) (let ((_let_3 (tptp.k2_zfmisc_1 C C))) (=> (and (tptp.l1_struct_0 A) (tptp.l1_struct_0 B) (tptp.v1_funct_1 D) (tptp.v1_funct_2 D _let_3 C) (tptp.m1_relset_1 D _let_3 C) (tptp.m1_subset_1 E C) (tptp.v1_funct_1 F) (tptp.v1_funct_2 F _let_2 C) (tptp.m1_relset_1 F _let_2 C) (tptp.v1_funct_1 G) (tptp.v1_funct_2 G _let_1 C) (tptp.m1_relset_1 G _let_1 C)) (forall ((H $$unsorted) (I $$unsorted) (J $$unsorted) (K $$unsorted) (L $$unsorted) (M $$unsorted) (N $$unsorted)) (=> (= (tptp.g2_vectsp_2 A B C D E F G) (tptp.g2_vectsp_2 H I J K L M N)) (and (= A H) (= B I) (= C J) (= D K) (= E L) (= F M) (= G N))))))))) (exists ((A $$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 $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_group_2 B A) (tptp.v4_group_1 B))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (exists ((B $$unsorted)) (and (tptp.m1_group_2 B A) (not (tptp.v3_struct_0 B)) (tptp.v1_group_1 B) (tptp.v2_group_1 B) (tptp.v3_group_1 B) (tptp.v4_group_1 B))))) (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_group_2 B A) (and (tptp.v4_group_1 B) (tptp.v7_group_1 B)))))) 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.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (tptp.v6_group_1 A) (tptp.v1_finset_1 B)))))) true (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)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B))) (= (tptp.r2_hidden A (tptp.k1_group_2 B C)) (exists ((D $$unsorted)) (and (tptp.m1_subset_1 D (tptp.u1_struct_0 B)) (= A (tptp.k3_group_1 B D)) (tptp.r2_hidden 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)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 B _let_1) (= (tptp.k1_group_2 A (tptp.k6_domain_1 _let_1 B)) (tptp.k6_domain_1 _let_1 (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 $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 C _let_1) (= (tptp.k1_group_2 A (tptp.k7_domain_1 _let_1 B C)) (tptp.k7_domain_1 _let_1 (tptp.k3_group_1 A B) (tptp.k3_group_1 A C)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (= (tptp.k1_group_2 A (tptp.k1_subset_1 (tptp.u1_struct_0 A))) tptp.k1_xboole_0))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (= (tptp.k1_group_2 A (tptp.k2_subset_1 _let_1)) _let_1)))) (forall ((A $$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 $$unsorted)) (let ((_let_1 (= B tptp.k1_xboole_0))) (let ((_let_2 (= (tptp.k1_group_2 A B) tptp.k1_xboole_0))) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (and (not (and (not _let_1) _let_2)) (not (and (not _let_2) _let_1))))))))) true (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.l1_group_1 B)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B))) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B))) (= (tptp.r2_hidden A (tptp.k2_group_2 B C D)) (exists ((E $$unsorted)) (and (tptp.m1_subset_1 E (tptp.u1_struct_0 B)) (exists ((F $$unsorted)) (and (tptp.m1_subset_1 F (tptp.u1_struct_0 B)) (= A (tptp.k1_group_1 B E F)) (tptp.r2_hidden E C) (tptp.r2_hidden F D)))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 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))) (= (and (not (= B tptp.k1_xboole_0)) (not (= C tptp.k1_xboole_0))) (not (= (tptp.k2_group_2 A B C) tptp.k1_xboole_0))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_group_1 A)) (forall ((B $$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)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (tptp.v4_group_1 A) (= (tptp.k2_group_2 A (tptp.k2_group_2 A B C) D) (tptp.k2_group_2 A B (tptp.k2_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.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (tptp.k1_group_2 A (tptp.k2_group_2 A B C)) (tptp.k2_group_2 A (tptp.k1_group_2 A C) (tptp.k1_group_2 A B))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 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 $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (=> (tptp.m1_subset_1 D _let_1) (= (tptp.k2_group_2 A B (tptp.k1_finsub_1 _let_1 C D)) (tptp.k1_finsub_1 _let_1 (tptp.k2_group_2 A B C) (tptp.k2_group_2 A B D)))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 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 $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (=> (tptp.m1_subset_1 D _let_1) (= (tptp.k2_group_2 A (tptp.k1_finsub_1 _let_1 B C) D) (tptp.k1_finsub_1 _let_1 (tptp.k2_group_2 A B D) (tptp.k2_group_2 A C D)))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 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 $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (=> (tptp.m1_subset_1 D _let_1) (tptp.r1_tarski (tptp.k2_group_2 A B (tptp.k3_finsub_1 _let_1 C D)) (tptp.k3_finsub_1 _let_1 (tptp.k2_group_2 A B C) (tptp.k2_group_2 A B D)))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 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 $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (=> (tptp.m1_subset_1 D _let_1) (tptp.r1_tarski (tptp.k2_group_2 A (tptp.k3_finsub_1 _let_1 B C) D) (tptp.k3_finsub_1 _let_1 (tptp.k2_group_2 A B D) (tptp.k2_group_2 A C D)))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.k1_subset_1 _let_1))) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 _let_1)) (and (= (tptp.k2_group_2 A _let_2 B) tptp.k1_xboole_0) (= (tptp.k2_group_2 A B _let_2) tptp.k1_xboole_0)))))))) (forall ((A $$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 $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.k2_subset_1 _let_1))) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 _let_1)) (=> (not (= B tptp.k1_xboole_0)) (and (= (tptp.k2_group_2 A _let_2 B) _let_1) (= (tptp.k2_group_2 A B _let_2) _let_1))))))))) (forall ((A $$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.k2_group_2 A (tptp.k6_domain_1 _let_1 B) (tptp.k6_domain_1 _let_1 C)) (tptp.k6_domain_1 _let_1 (tptp.k1_group_1 A B C)))))))))) (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 $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 D _let_1) (= (tptp.k2_group_2 A (tptp.k6_domain_1 _let_1 B) (tptp.k7_domain_1 _let_1 C D)) (tptp.k7_domain_1 _let_1 (tptp.k1_group_1 A B C) (tptp.k1_group_1 A B D)))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_group_1 A)) (forall ((B $$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)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 D _let_1) (= (tptp.k2_group_2 A (tptp.k7_domain_1 _let_1 B C) (tptp.k6_domain_1 _let_1 D)) (tptp.k7_domain_1 _let_1 (tptp.k1_group_1 A B D) (tptp.k1_group_1 A C D)))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_group_1 A)) (forall ((B $$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)) (forall ((E $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 E _let_1) (= (tptp.k2_group_2 A (tptp.k7_domain_1 _let_1 B C) (tptp.k7_domain_1 _let_1 D E)) (tptp.k9_domain_1 _let_1 (tptp.k1_group_1 A B D) (tptp.k1_group_1 A B E) (tptp.k1_group_1 A C D) (tptp.k1_group_1 A C E)))))))))))))) (forall ((A $$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 $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (and (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (=> (and (tptp.r2_hidden C B) (tptp.r2_hidden D B)) (tptp.r2_hidden (tptp.k1_group_1 A C D) B)))))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (=> (tptp.r2_hidden C B) (tptp.r2_hidden (tptp.k3_group_1 A C) B))))) (= (tptp.k2_group_2 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.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (=> (tptp.r2_hidden C B) (tptp.r2_hidden (tptp.k3_group_1 A C) B)))) (= (tptp.k1_group_2 A B) B)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 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 $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.u1_struct_0 A)) (=> (and (tptp.r2_hidden D B) (tptp.r2_hidden E C)) (= (tptp.k1_group_1 A D E) (tptp.k1_group_1 A E D))))))) (= (tptp.k2_group_2 A B C) (tptp.k2_group_2 A C B))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.v7_group_1 A) (tptp.l1_group_1 A)) (= (tptp.k2_group_2 A B C) (tptp.k2_group_2 A C B))))))))) (forall ((A $$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 $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (tptp.k1_group_2 A (tptp.k2_group_2 A B C)) (tptp.k2_group_2 A (tptp.k1_group_2 A B) (tptp.k1_group_2 A C))))))))) (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 $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 _let_1)) (= (tptp.k3_group_2 A B C) (tptp.k2_group_2 A (tptp.k6_domain_1 _let_1 B) C))))))))) (forall ((A $$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 (tptp.k1_zfmisc_1 _let_1)) (= (tptp.k4_group_2 A B C) (tptp.k2_group_2 A C (tptp.k6_domain_1 _let_1 B)))))))))) true true (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.l1_group_1 B)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B))) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 B)) (= (tptp.r2_hidden A (tptp.k3_group_2 B D C)) (exists ((E $$unsorted)) (and (tptp.m1_subset_1 E (tptp.u1_struct_0 B)) (= A (tptp.k1_group_1 B D E)) (tptp.r2_hidden E C)))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.l1_group_1 B)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B))) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 B)) (= (tptp.r2_hidden A (tptp.k4_group_2 B D C)) (exists ((E $$unsorted)) (and (tptp.m1_subset_1 E (tptp.u1_struct_0 B)) (= A (tptp.k1_group_1 B E D)) (tptp.r2_hidden E C)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_group_1 A)) (forall ((B $$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)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (=> (tptp.v4_group_1 A) (= (tptp.k2_group_2 A (tptp.k3_group_2 A D B) C) (tptp.k3_group_2 A D (tptp.k2_group_2 A B C)))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_group_1 A)) (forall ((B $$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)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (=> (tptp.v4_group_1 A) (= (tptp.k2_group_2 A (tptp.k4_group_2 A D B) C) (tptp.k2_group_2 A B (tptp.k3_group_2 A D C)))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_group_1 A)) (forall ((B $$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)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (=> (tptp.v4_group_1 A) (= (tptp.k4_group_2 A D (tptp.k2_group_2 A B C)) (tptp.k2_group_2 A B (tptp.k4_group_2 A D C)))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (=> (tptp.v4_group_1 A) (= (tptp.k3_group_2 A (tptp.k1_group_1 A C D) B) (tptp.k3_group_2 A C (tptp.k3_group_2 A D B)))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (=> (tptp.v4_group_1 A) (= (tptp.k4_group_2 A D (tptp.k3_group_2 A C B)) (tptp.k3_group_2 A C (tptp.k4_group_2 A D B)))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (=> (tptp.v4_group_1 A) (= (tptp.k4_group_2 A D (tptp.k4_group_2 A C B)) (tptp.k4_group_2 A (tptp.k1_group_1 A C D) B))))))))))) (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.k1_subset_1 _let_1))) (=> (tptp.m1_subset_1 B _let_1) (and (= (tptp.k4_group_2 A B _let_2) tptp.k1_xboole_0) (= (tptp.k3_group_2 A B _let_2) tptp.k1_xboole_0)))))))) (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))) (let ((_let_2 (tptp.k2_subset_1 _let_1))) (=> (tptp.m1_subset_1 B _let_1) (and (= (tptp.k4_group_2 A B _let_2) _let_1) (= (tptp.k3_group_2 A B _let_2) _let_1)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k2_group_1 A))) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (and (= (tptp.k3_group_2 A _let_1 B) B) (= (tptp.k4_group_2 A _let_1 B) B))))))) (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 $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.v7_group_1 A) (tptp.l1_group_1 A)) (= (tptp.k3_group_2 A B C) (tptp.k4_group_2 A B C))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_group_1 B) (tptp.l1_group_1 B)) (= (tptp.m1_group_2 B A) (and (tptp.r1_tarski _let_1 (tptp.u1_struct_0 A)) (= (tptp.u1_group_1 B) (tptp.k1_realset1 (tptp.u1_group_1 A) _let_1))))))))) true true true (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_group_2 B A) (=> (tptp.v6_group_1 A) (tptp.v6_group_1 B)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_group_1 B) (tptp.l1_group_1 B)) (forall ((C $$unsorted)) (=> (tptp.m1_group_2 C B) (=> (tptp.r1_rlvect_1 C A) (tptp.r1_rlvect_1 B A)))))) (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_group_2 B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 B)) (tptp.r1_rlvect_1 A C))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_group_2 B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 B)) (tptp.m1_subset_1 C (tptp.u1_struct_0 A)))))))) (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 $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_group_2 D A) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.u1_struct_0 D)) (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F (tptp.u1_struct_0 D)) (=> (and (= E B) (= F C)) (= (tptp.k1_group_1 D E F) (tptp.k1_group_1 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)) (=> (tptp.m1_group_2 B A) (= (tptp.k2_group_1 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_group_2 B A) (forall ((C $$unsorted)) (=> (tptp.m1_group_2 C A) (= (tptp.k2_group_1 B) (tptp.k2_group_1 C)))))))) (forall ((A $$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 $$unsorted)) (=> (tptp.m1_group_2 B A) (tptp.r1_rlvect_1 B (tptp.k2_group_1 A)))))) (forall ((A $$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 $$unsorted)) (=> (tptp.m1_group_2 B A) (forall ((C $$unsorted)) (=> (tptp.m1_group_2 C A) (tptp.r1_rlvect_1 C (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)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_group_2 C A) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 C)) (=> (= D B) (= (tptp.k3_group_1 C D) (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)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_group_2 B A) (= (tptp.k4_group_1 B) (tptp.k8_relset_1 _let_1 _let_1 (tptp.k4_group_1 A) (tptp.u1_struct_0 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_group_2 D A) (=> (and (tptp.r1_rlvect_1 D B) (tptp.r1_rlvect_1 D C)) (tptp.r1_rlvect_1 D (tptp.k1_group_1 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)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_group_2 C A) (=> (tptp.r1_rlvect_1 C B) (tptp.r1_rlvect_1 C (tptp.k3_group_1 A B))))))))) (forall ((A $$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 $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (not (and (not (= B tptp.k1_xboole_0)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (=> (and (tptp.r2_hidden C B) (tptp.r2_hidden D B)) (tptp.r2_hidden (tptp.k1_group_1 A C D) B)))))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (=> (tptp.r2_hidden C B) (tptp.r2_hidden (tptp.k3_group_1 A C) B)))) (forall ((C $$unsorted)) (=> (and (tptp.v1_group_1 C) (tptp.m1_group_2 C A)) (not (= (tptp.u1_struct_0 C) B)))))))))) (forall ((A $$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 $$unsorted)) (=> (tptp.m1_group_2 B A) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.v7_group_1 A) (tptp.l1_group_1 A)) (tptp.v7_group_1 B)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (tptp.m1_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 (not (tptp.v3_struct_0 B)) (tptp.v3_group_1 B) (tptp.v4_group_1 B) (tptp.l1_group_1 B)) (=> (and (tptp.m1_group_2 A B) (tptp.m1_group_2 B A)) (= (tptp.g1_group_1 (tptp.u1_struct_0 A) (tptp.u1_group_1 A)) (tptp.g1_group_1 (tptp.u1_struct_0 B) (tptp.u1_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 $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.v3_group_1 C) (tptp.v4_group_1 C) (tptp.l1_group_1 C)) (=> (and (tptp.m1_group_2 A B) (tptp.m1_group_2 B C)) (tptp.m1_group_2 A C)))))))) (forall ((A $$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 $$unsorted)) (=> (tptp.m1_group_2 B A) (forall ((C $$unsorted)) (=> (tptp.m1_group_2 C A) (=> (tptp.r1_tarski (tptp.u1_struct_0 B) (tptp.u1_struct_0 C)) (tptp.m1_group_2 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_group_2 B A) (forall ((C $$unsorted)) (=> (tptp.m1_group_2 C A) (=> (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (=> (tptp.r1_rlvect_1 B D) (tptp.r1_rlvect_1 C D)))) (tptp.m1_group_2 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_group_2 B A) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 C))) (let ((_let_2 (tptp.u1_struct_0 B))) (=> (tptp.m1_group_2 C A) (=> (= _let_2 _let_1) (= (tptp.g1_group_1 _let_2 (tptp.u1_group_1 B)) (tptp.g1_group_1 _let_1 (tptp.u1_group_1 C)))))))))))) (forall ((A $$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 $$unsorted)) (=> (tptp.m1_group_2 B A) (forall ((C $$unsorted)) (=> (tptp.m1_group_2 C A) (=> (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (= (tptp.r1_rlvect_1 B D) (tptp.r1_rlvect_1 C D)))) (= (tptp.g1_group_1 (tptp.u1_struct_0 B) (tptp.u1_group_1 B)) (tptp.g1_group_1 (tptp.u1_struct_0 C) (tptp.u1_group_1 C)))))))))) (forall ((A $$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 $$unsorted)) (=> (and (tptp.v1_group_1 B) (tptp.m1_group_2 B A)) (forall ((C $$unsorted)) (=> (and (tptp.v1_group_1 C) (tptp.m1_group_2 C A)) (= (tptp.r1_group_2 A B C) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (= (tptp.r1_rlvect_1 B D) (tptp.r1_rlvect_1 C D))))))))))) (forall ((A $$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 $$unsorted)) (=> (and (tptp.v1_group_1 B) (tptp.m1_group_2 B A)) (=> (= (tptp.u1_struct_0 B) (tptp.u1_struct_0 A)) (= B A)))))) (forall ((A $$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 $$unsorted)) (=> (tptp.m1_group_2 B A) (=> (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (tptp.r1_rlvect_1 B C))) (= (tptp.g1_group_1 (tptp.u1_struct_0 B) (tptp.u1_group_1 B)) (tptp.g1_group_1 (tptp.u1_struct_0 A) (tptp.u1_group_1 A)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_group_1 B) (tptp.m1_group_2 B A)) (= (= B (tptp.k5_group_2 A)) (= (tptp.u1_struct_0 B) (tptp.k6_domain_1 (tptp.u1_struct_0 A) (tptp.k2_group_1 A)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (= (tptp.k6_group_2 A) (tptp.g1_group_1 (tptp.u1_struct_0 A) (tptp.u1_group_1 A))))) true true true (forall ((A $$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 $$unsorted)) (=> (tptp.m1_group_2 B A) (= (tptp.k5_group_2 B) (tptp.k5_group_2 A)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_group_2 B A) (forall ((C $$unsorted)) (=> (tptp.m1_group_2 C A) (= (tptp.k5_group_2 B) (tptp.k5_group_2 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) (tptp.m1_group_2 (tptp.k5_group_2 A) 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)) (=> (tptp.m1_group_2 B A) (tptp.m1_group_2 B (tptp.k6_group_2 A)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v1_group_1 A) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (tptp.m1_group_2 A (tptp.k6_group_2 A)))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (tptp.v6_group_1 (tptp.k5_group_2 A)))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (= (tptp.k9_group_1 (tptp.k5_group_2 A)) tptp.np__1))) (forall ((A $$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 $$unsorted)) (=> (and (tptp.v1_group_1 B) (tptp.m1_group_2 B A)) (=> (and (tptp.v6_group_1 B) (= (tptp.k9_group_1 B) tptp.np__1)) (tptp.r1_group_2 A B (tptp.k5_group_2 A))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_group_2 B A) (tptp.r1_tarski (tptp.k8_group_1 B) (tptp.k8_group_1 A)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_group_2 B A) (=> (tptp.v6_group_1 A) (tptp.r1_xreal_0 (tptp.k9_group_1 B) (tptp.k9_group_1 A))))))) (forall ((A $$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)) (forall ((B $$unsorted)) (=> (and (tptp.v1_group_1 B) (tptp.m1_group_2 B A)) (=> (and (tptp.v6_group_1 A) (= (tptp.k9_group_1 A) (tptp.k9_group_1 B))) (= B A)))))) (forall ((A $$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 $$unsorted)) (=> (tptp.m1_group_2 B A) (= (tptp.k7_group_2 A B) (tptp.u1_struct_0 B)))))) true (forall ((A $$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 $$unsorted)) (=> (tptp.m1_group_2 B A) (not (= (tptp.k7_group_2 A B) tptp.k1_xboole_0)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_group_1 B) (tptp.v4_group_1 B) (tptp.l1_group_1 B)) (forall ((C $$unsorted)) (=> (tptp.m1_group_2 C B) (= (tptp.r2_hidden A (tptp.k7_group_2 B C)) (tptp.r1_rlvect_1 C A)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$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.k7_group_2 A D))) (=> (tptp.m1_group_2 D A) (=> (and (tptp.r2_hidden B _let_1) (tptp.r2_hidden C _let_1)) (tptp.r2_hidden (tptp.k1_group_1 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_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k7_group_2 A C))) (=> (tptp.m1_group_2 C A) (=> (tptp.r2_hidden B _let_1) (tptp.r2_hidden (tptp.k3_group_1 A B) _let_1))))))))) (forall ((A $$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 $$unsorted)) (let ((_let_1 (tptp.k7_group_2 A B))) (=> (tptp.m1_group_2 B A) (= (tptp.k2_group_2 A _let_1 _let_1) _let_1)))))) (forall ((A $$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 $$unsorted)) (let ((_let_1 (tptp.k7_group_2 A B))) (=> (tptp.m1_group_2 B A) (= (tptp.k1_group_2 A _let_1) _let_1)))))) (forall ((A $$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 $$unsorted)) (=> (tptp.m1_group_2 B A) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k7_group_2 A B))) (let ((_let_2 (tptp.k7_group_2 A C))) (let ((_let_3 (= (tptp.k2_group_2 A _let_1 _let_2) (tptp.k2_group_2 A _let_2 _let_1)))) (=> (tptp.m1_group_2 C A) (and (not (and _let_3 (forall ((D $$unsorted)) (=> (and (tptp.v1_group_1 D) (tptp.m1_group_2 D A)) (not (= (tptp.u1_struct_0 D) (tptp.k2_group_2 A (tptp.k7_group_2 A B) (tptp.k7_group_2 A C)))))))) (=> (exists ((D $$unsorted)) (and (tptp.m1_group_2 D A) (= (tptp.u1_struct_0 D) (tptp.k2_group_2 A (tptp.k7_group_2 A B) (tptp.k7_group_2 A C))))) _let_3))))))))))) (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 $$unsorted)) (=> (tptp.m1_group_2 C A) (not (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.v7_group_1 A) (tptp.l1_group_1 A) (forall ((D $$unsorted)) (=> (and (tptp.v1_group_1 D) (tptp.m1_group_2 D A)) (not (= (tptp.u1_struct_0 D) (tptp.k2_group_2 A (tptp.k7_group_2 A B) (tptp.k7_group_2 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_group_2 B A) (forall ((C $$unsorted)) (=> (tptp.m1_group_2 C A) (forall ((D $$unsorted)) (=> (and (tptp.v1_group_1 D) (tptp.m1_group_2 D A)) (= (= D (tptp.k8_group_2 A B C)) (= (tptp.u1_struct_0 D) (tptp.k3_finsub_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)) (tptp.k7_group_2 A B) (tptp.k7_group_2 A C)))))))))))) 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_group_2 B A) (forall ((C $$unsorted)) (=> (tptp.m1_group_2 C A) (and (forall ((D $$unsorted)) (=> (tptp.m1_group_2 D A) (=> (= D (tptp.k8_group_2 A B C)) (= (tptp.u1_struct_0 D) (tptp.k3_xboole_0 (tptp.u1_struct_0 B) (tptp.u1_struct_0 C)))))) (forall ((D $$unsorted)) (=> (and (tptp.v1_group_1 D) (tptp.m1_group_2 D A)) (=> (= (tptp.u1_struct_0 D) (tptp.k3_xboole_0 (tptp.u1_struct_0 B) (tptp.u1_struct_0 C))) (tptp.r1_group_2 A D (tptp.k8_group_2 A B C)))))))))))) (forall ((A $$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 $$unsorted)) (=> (tptp.m1_group_2 B A) (forall ((C $$unsorted)) (=> (tptp.m1_group_2 C A) (= (tptp.k7_group_2 A (tptp.k8_group_2 A B C)) (tptp.k3_finsub_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)) (tptp.k7_group_2 A B) (tptp.k7_group_2 A 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)) (forall ((C $$unsorted)) (=> (tptp.m1_group_2 C B) (forall ((D $$unsorted)) (=> (tptp.m1_group_2 D B) (= (tptp.r1_rlvect_1 (tptp.k8_group_2 B C D) A) (and (tptp.r1_rlvect_1 C A) (tptp.r1_rlvect_1 D 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.m1_group_2 B A)) (tptp.r1_group_2 A (tptp.k8_group_2 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_group_2 B A) (forall ((C $$unsorted)) (=> (tptp.m1_group_2 C A) (tptp.r1_group_2 A (tptp.k8_group_2 A B C) (tptp.k8_group_2 A C B)))))))) (forall ((A $$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 $$unsorted)) (=> (tptp.m1_group_2 B A) (forall ((C $$unsorted)) (=> (tptp.m1_group_2 C A) (forall ((D $$unsorted)) (=> (tptp.m1_group_2 D A) (tptp.r1_group_2 A (tptp.k9_group_2 A (tptp.k9_group_2 A B C) D) (tptp.k9_group_2 A B (tptp.k9_group_2 A C D))))))))))) (forall ((A $$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 $$unsorted)) (let ((_let_1 (tptp.k5_group_2 A))) (=> (tptp.m1_group_2 B A) (and (tptp.r1_group_2 A (tptp.k9_group_2 A _let_1 B) _let_1) (tptp.r1_group_2 A (tptp.k9_group_2 A B _let_1) _let_1))))))) (forall ((A $$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 $$unsorted)) (let ((_let_1 (tptp.k6_group_2 A))) (=> (and (tptp.v1_group_1 B) (tptp.m1_group_2 B A)) (and (tptp.r1_group_2 A (tptp.k9_group_2 A B _let_1) B) (tptp.r1_group_2 A (tptp.k9_group_2 A _let_1 B) B))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k6_group_2 A))) (=> (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.k9_group_2 A _let_1 _let_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_group_2 B A) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k9_group_2 A B C))) (=> (tptp.m1_group_2 C A) (and (tptp.m1_group_2 _let_1 B) (tptp.m1_group_2 _let_1 C))))))))) (forall ((A $$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 $$unsorted)) (=> (tptp.m1_group_2 B A) (forall ((C $$unsorted)) (=> (and (tptp.v1_group_1 C) (tptp.m1_group_2 C A)) (= (tptp.m1_group_2 C B) (tptp.r1_group_2 A (tptp.k9_group_2 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)) (=> (tptp.m1_group_2 B A) (forall ((C $$unsorted)) (=> (tptp.m1_group_2 C A) (forall ((D $$unsorted)) (=> (tptp.m1_group_2 D A) (=> (tptp.m1_group_2 B C) (tptp.m1_group_2 (tptp.k9_group_2 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_group_2 B A) (forall ((C $$unsorted)) (=> (tptp.m1_group_2 C A) (forall ((D $$unsorted)) (=> (tptp.m1_group_2 D A) (=> (and (tptp.m1_group_2 B C) (tptp.m1_group_2 B D)) (tptp.m1_group_2 B (tptp.k9_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_group_2 B A) (forall ((C $$unsorted)) (=> (tptp.m1_group_2 C A) (forall ((D $$unsorted)) (=> (tptp.m1_group_2 D A) (=> (tptp.m1_group_2 B C) (tptp.m1_group_2 (tptp.k9_group_2 A B D) (tptp.k9_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_group_2 B A) (forall ((C $$unsorted)) (=> (tptp.m1_group_2 C A) (=> (or (tptp.v6_group_1 B) (tptp.v6_group_1 C)) (tptp.v6_group_1 (tptp.k9_group_2 A B C))))))))) (forall ((A $$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 $$unsorted)) (=> (tptp.m1_group_2 B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (tptp.k10_group_2 A B C) (tptp.k2_group_2 A C (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_group_2 B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (tptp.k11_group_2 A B C) (tptp.k2_group_2 A (tptp.k7_group_2 A B) C)))))))) true true (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_group_1 B) (tptp.v4_group_1 B) (tptp.l1_group_1 B)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B))) (forall ((D $$unsorted)) (=> (tptp.m1_group_2 D B) (= (tptp.r2_hidden A (tptp.k10_group_2 B D C)) (exists ((E $$unsorted)) (and (tptp.m1_subset_1 E (tptp.u1_struct_0 B)) (exists ((F $$unsorted)) (and (tptp.m1_subset_1 F (tptp.u1_struct_0 B)) (= A (tptp.k1_group_1 B E F)) (tptp.r2_hidden E C) (tptp.r1_rlvect_1 D F)))))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_group_1 B) (tptp.v4_group_1 B) (tptp.l1_group_1 B)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B))) (forall ((D $$unsorted)) (=> (tptp.m1_group_2 D B) (= (tptp.r2_hidden A (tptp.k11_group_2 B D C)) (exists ((E $$unsorted)) (and (tptp.m1_subset_1 E (tptp.u1_struct_0 B)) (exists ((F $$unsorted)) (and (tptp.m1_subset_1 F (tptp.u1_struct_0 B)) (= A (tptp.k1_group_1 B E F)) (tptp.r1_rlvect_1 D E) (tptp.r2_hidden F C)))))))))))) (forall ((A $$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 $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((D $$unsorted)) (=> (tptp.m1_group_2 D A) (= (tptp.k10_group_2 A D (tptp.k2_group_2 A B C)) (tptp.k2_group_2 A B (tptp.k10_group_2 A D C))))))))))) (forall ((A $$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 $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((D $$unsorted)) (=> (tptp.m1_group_2 D A) (= (tptp.k2_group_2 A (tptp.k10_group_2 A D B) C) (tptp.k2_group_2 A B (tptp.k11_group_2 A D C))))))))))) (forall ((A $$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 $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((D $$unsorted)) (=> (tptp.m1_group_2 D A) (= (tptp.k2_group_2 A (tptp.k11_group_2 A D B) C) (tptp.k11_group_2 A D (tptp.k2_group_2 A B C))))))))))) (forall ((A $$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 $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (=> (tptp.m1_group_2 C A) (forall ((D $$unsorted)) (=> (tptp.m1_group_2 D A) (= (tptp.k10_group_2 A D (tptp.k10_group_2 A C B)) (tptp.k2_group_2 A B (tptp.k11_group_2 A C (tptp.k7_group_2 A D)))))))))))) (forall ((A $$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 $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (=> (tptp.m1_group_2 C A) (forall ((D $$unsorted)) (=> (tptp.m1_group_2 D A) (= (tptp.k10_group_2 A D (tptp.k11_group_2 A C B)) (tptp.k11_group_2 A C (tptp.k10_group_2 A D B))))))))))) (forall ((A $$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 $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (=> (tptp.m1_group_2 C A) (forall ((D $$unsorted)) (=> (tptp.m1_group_2 D A) (= (tptp.k2_group_2 A (tptp.k11_group_2 A C (tptp.k7_group_2 A D)) B) (tptp.k11_group_2 A C (tptp.k11_group_2 A D B))))))))))) (forall ((A $$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 $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (=> (tptp.m1_group_2 C 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)) (= (tptp.k10_group_2 A C B) (tptp.k11_group_2 A 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)) (=> (tptp.m1_group_2 B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (tptp.k12_group_2 A B C) (tptp.k3_group_2 A C (tptp.k7_group_2 A B))))))))) (forall ((A $$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 $$unsorted)) (=> (tptp.m1_group_2 B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (tptp.k13_group_2 A B C) (tptp.k4_group_2 A C (tptp.k7_group_2 A B))))))))) true true (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)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 B)) (forall ((D $$unsorted)) (=> (tptp.m1_group_2 D B) (= (tptp.r2_hidden A (tptp.k12_group_2 B D C)) (exists ((E $$unsorted)) (and (tptp.m1_subset_1 E (tptp.u1_struct_0 B)) (= A (tptp.k1_group_1 B C E)) (tptp.r1_rlvect_1 D E)))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_group_1 B) (tptp.v4_group_1 B) (tptp.l1_group_1 B)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 B)) (forall ((D $$unsorted)) (=> (tptp.m1_group_2 D B) (= (tptp.r2_hidden A (tptp.k13_group_2 B D C)) (exists ((E $$unsorted)) (and (tptp.m1_subset_1 E (tptp.u1_struct_0 B)) (= A (tptp.k1_group_1 B E C)) (tptp.r1_rlvect_1 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_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_group_2 D A) (= (tptp.k12_group_2 A D (tptp.k1_group_1 A B C)) (tptp.k3_group_2 A B (tptp.k12_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_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_group_2 D A) (= (tptp.k4_group_2 A C (tptp.k12_group_2 A D B)) (tptp.k3_group_2 A B (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_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_group_2 D A) (= (tptp.k4_group_2 A C (tptp.k13_group_2 A D B)) (tptp.k13_group_2 A D (tptp.k1_group_1 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)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_group_2 C A) (and (tptp.r2_hidden B (tptp.k12_group_2 A C B)) (tptp.r2_hidden B (tptp.k13_group_2 A C B))))))))) true (forall ((A $$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 $$unsorted)) (let ((_let_1 (tptp.k7_group_2 A B))) (let ((_let_2 (tptp.k2_group_1 A))) (=> (tptp.m1_group_2 B A) (and (= (tptp.k12_group_2 A B _let_2) _let_1) (= (tptp.k13_group_2 A B _let_2) _let_1)))))))) (forall ((A $$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 $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.k6_domain_1 _let_1 B))) (let ((_let_3 (tptp.k5_group_2 A))) (=> (tptp.m1_subset_1 B _let_1) (and (= (tptp.k13_group_2 A _let_3 B) _let_2) (= (tptp.k12_group_2 A _let_3 B) _let_2))))))))) (forall ((A $$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 $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.k6_group_2 A))) (=> (tptp.m1_subset_1 B _let_1) (and (= (tptp.k12_group_2 A _let_2 B) _let_1) (= (tptp.k13_group_2 A _let_2 B) _let_1)))))))) (forall ((A $$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 $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_group_2 C 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)) (= (tptp.k12_group_2 A C B) (tptp.k13_group_2 A 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)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_group_2 C A) (= (tptp.r1_rlvect_1 C B) (= (tptp.k12_group_2 A C B) (tptp.k7_group_2 A C))))))))) (forall ((A $$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)) (forall ((D $$unsorted)) (=> (tptp.m1_group_2 D A) (= (= (tptp.k12_group_2 A D B) (tptp.k12_group_2 A D C)) (tptp.r1_rlvect_1 D (tptp.k1_group_1 A (tptp.k3_group_1 A C) B))))))))))) (forall ((A $$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 $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k12_group_2 A D C))) (let ((_let_2 (tptp.k12_group_2 A D B))) (=> (tptp.m1_group_2 D A) (= (= _let_2 _let_1) (not (tptp.r1_xboole_0 _let_2 _let_1))))))))))))) (forall ((A $$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)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_group_2 D A) (tptp.r1_tarski (tptp.k12_group_2 A D (tptp.k1_group_1 A B C)) (tptp.k2_group_2 A (tptp.k12_group_2 A D B) (tptp.k12_group_2 A D C))))))))))) (forall ((A $$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 $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k12_group_2 A C B))) (let ((_let_2 (tptp.k12_group_2 A C (tptp.k3_group_1 A B)))) (let ((_let_3 (tptp.k7_group_2 A C))) (=> (tptp.m1_group_2 C A) (and (tptp.r1_tarski _let_3 (tptp.k2_group_2 A _let_1 _let_2)) (tptp.r1_tarski _let_3 (tptp.k2_group_2 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 $$unsorted)) (let ((_let_1 (tptp.k12_group_2 A C B))) (=> (tptp.m1_group_2 C A) (tptp.r1_tarski (tptp.k12_group_2 A C (tptp.k6_group_1 A tptp.np__2 B)) (tptp.k2_group_2 A _let_1 _let_1))))))))) (forall ((A $$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_group_2 C A) (= (tptp.r1_rlvect_1 C B) (= (tptp.k13_group_2 A C B) (tptp.k7_group_2 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 $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_group_2 D A) (= (= (tptp.k13_group_2 A D B) (tptp.k13_group_2 A D C)) (tptp.r1_rlvect_1 D (tptp.k1_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 $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k13_group_2 A D C))) (let ((_let_2 (tptp.k13_group_2 A D B))) (=> (tptp.m1_group_2 D A) (= (= _let_2 _let_1) (not (tptp.r1_xboole_0 _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 $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k13_group_2 A D B))) (=> (tptp.m1_group_2 D A) (tptp.r1_tarski (tptp.k4_group_2 A C _let_1) (tptp.k2_group_2 A _let_1 (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_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k13_group_2 A C B))) (let ((_let_2 (tptp.k13_group_2 A C (tptp.k3_group_1 A B)))) (let ((_let_3 (tptp.k7_group_2 A C))) (=> (tptp.m1_group_2 C A) (and (tptp.r1_tarski _let_3 (tptp.k2_group_2 A _let_1 _let_2)) (tptp.r1_tarski _let_3 (tptp.k2_group_2 A _let_2 _let_1)))))))))))) (forall ((A $$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.k13_group_2 A C B))) (=> (tptp.m1_group_2 C A) (tptp.r1_tarski (tptp.k13_group_2 A C (tptp.k6_group_1 A tptp.np__2 B)) (tptp.k2_group_2 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 $$unsorted)) (=> (tptp.m1_group_2 C A) (forall ((D $$unsorted)) (=> (tptp.m1_group_2 D A) (= (tptp.k12_group_2 A (tptp.k9_group_2 A C D) B) (tptp.k3_finsub_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)) (tptp.k12_group_2 A C B) (tptp.k12_group_2 A D 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 $$unsorted)) (=> (tptp.m1_group_2 C A) (forall ((D $$unsorted)) (=> (tptp.m1_group_2 D A) (= (tptp.k13_group_2 A (tptp.k9_group_2 A C D) B) (tptp.k3_finsub_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)) (tptp.k13_group_2 A C B) (tptp.k13_group_2 A D 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 $$unsorted)) (=> (tptp.m1_group_2 C A) (exists ((D $$unsorted)) (and (tptp.v1_group_1 D) (tptp.m1_group_2 D A) (= (tptp.u1_struct_0 D) (tptp.k4_group_2 A (tptp.k3_group_1 A B) (tptp.k12_group_2 A 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)) (=> (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_group_2 D A) (tptp.r2_wellord2 (tptp.k12_group_2 A D B) (tptp.k12_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_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_group_2 D A) (tptp.r2_wellord2 (tptp.k12_group_2 A D B) (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_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_group_2 D A) (tptp.r2_wellord2 (tptp.k13_group_2 A D B) (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_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k7_group_2 A C))) (=> (tptp.m1_group_2 C A) (and (tptp.r2_wellord2 _let_1 (tptp.k12_group_2 A C B)) (tptp.r2_wellord2 _let_1 (tptp.k13_group_2 A C B)))))))))) (forall ((A $$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 $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k8_group_1 C))) (=> (tptp.m1_group_2 C A) (and (= _let_1 (tptp.k1_card_1 (tptp.k12_group_2 A C B))) (= _let_1 (tptp.k1_card_1 (tptp.k13_group_2 A 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)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_group_2 C A) (not (and (tptp.v6_group_1 C) (forall ((D $$unsorted)) (=> (tptp.v1_finset_1 D) (forall ((E $$unsorted)) (let ((_let_1 (tptp.k9_group_1 C))) (=> (tptp.v1_finset_1 E) (not (and (= D (tptp.k12_group_2 A C B)) (= E (tptp.k13_group_2 A C B)) (= _let_1 (tptp.k4_card_1 D)) (= _let_1 (tptp.k4_card_1 E))))))))))))))))) (forall ((A $$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.k1_zfmisc_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (= (= C (tptp.k14_group_2 A B)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (tptp.r2_hidden D C) (exists ((E $$unsorted)) (and (tptp.m1_subset_1 E (tptp.u1_struct_0 A)) (= D (tptp.k12_group_2 A B 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 $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (= (= C (tptp.k15_group_2 A B)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (tptp.r2_hidden D C) (exists ((E $$unsorted)) (and (tptp.m1_subset_1 E (tptp.u1_struct_0 A)) (= D (tptp.k13_group_2 A B E)))))))))))))) true true true true true true true (forall ((A $$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 $$unsorted)) (=> (tptp.m1_group_2 B A) (=> (tptp.v6_group_1 A) (and (tptp.v1_finset_1 (tptp.k15_group_2 A B)) (tptp.v1_finset_1 (tptp.k14_group_2 A B)))))))) (forall ((A $$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 $$unsorted)) (let ((_let_1 (tptp.k7_group_2 A B))) (=> (tptp.m1_group_2 B A) (and (tptp.r2_hidden _let_1 (tptp.k14_group_2 A B)) (tptp.r2_hidden _let_1 (tptp.k15_group_2 A B)))))))) (forall ((A $$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 $$unsorted)) (=> (tptp.m1_group_2 B A) (tptp.r2_wellord2 (tptp.k14_group_2 A B) (tptp.k15_group_2 A B)))))) (forall ((A $$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 $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_group_2 B A) (and (= (tptp.k5_setfam_1 _let_1 (tptp.k14_group_2 A B)) _let_1) (= (tptp.k5_setfam_1 _let_1 (tptp.k15_group_2 A B)) _let_1))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k1_tarski (tptp.u1_struct_0 A)))) (let ((_let_2 (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 (= (tptp.k14_group_2 A _let_2) _let_1) (= (tptp.k15_group_2 A _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)) (=> (and (tptp.v1_group_1 B) (tptp.m1_group_2 B A)) (=> (= (tptp.k14_group_2 A B) (tptp.k1_tarski (tptp.u1_struct_0 A))) (= B 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 (tptp.v1_group_1 B) (tptp.m1_group_2 B A)) (=> (= (tptp.k15_group_2 A B) (tptp.k1_tarski (tptp.u1_struct_0 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)) (=> (tptp.m1_group_2 B A) (= (tptp.k16_group_2 A B) (tptp.k1_card_1 (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.k16_group_2 A B))) (=> (tptp.m1_group_2 B A) (and (= _let_1 (tptp.k1_card_1 (tptp.k14_group_2 A B))) (= _let_1 (tptp.k1_card_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)) (=> (tptp.m1_group_2 B A) (=> (tptp.v1_finset_1 (tptp.k14_group_2 A B)) (forall ((C $$unsorted)) (=> (tptp.m2_subset_1 C tptp.k1_numbers tptp.k5_numbers) (= (= C (tptp.k17_group_2 A B)) (exists ((D $$unsorted)) (and (tptp.v1_finset_1 D) (= D (tptp.k14_group_2 A B)) (= C (tptp.k4_card_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)) (=> (tptp.m1_group_2 B A) (=> (tptp.v1_finset_1 (tptp.k14_group_2 A B)) (and (exists ((C $$unsorted)) (and (tptp.v1_finset_1 C) (= C (tptp.k14_group_2 A B)) (= (tptp.k17_group_2 A B) (tptp.k4_card_1 C)))) (exists ((C $$unsorted)) (and (tptp.v1_finset_1 C) (= C (tptp.k15_group_2 A B)) (= (tptp.k17_group_2 A B) (tptp.k4_card_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_group_2 B A) (=> (tptp.v6_group_1 A) (= (tptp.k9_group_1 A) (tptp.k2_nat_1 (tptp.k9_group_1 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) (=> (tptp.v6_group_1 A) (tptp.r1_nat_1 (tptp.k9_group_1 B) (tptp.k9_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_group_2 B A) (forall ((C $$unsorted)) (=> (tptp.m1_group_2 C A) (forall ((D $$unsorted)) (=> (tptp.m1_group_2 D C) (=> (and (tptp.v6_group_1 A) (= B D)) (= (tptp.k17_group_2 A B) (tptp.k2_nat_1 (tptp.k17_group_2 C D) (tptp.k17_group_2 A C)))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (= (tptp.k17_group_2 A (tptp.k6_group_2 A)) tptp.np__1))) (forall ((A $$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 $$unsorted)) (=> (and (tptp.v1_group_1 B) (tptp.m1_group_2 B A)) (=> (and (tptp.v1_finset_1 (tptp.k14_group_2 A B)) (= (tptp.k17_group_2 A B) tptp.np__1)) (= B A)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (= (tptp.k16_group_2 A (tptp.k5_group_2 A)) (tptp.k8_group_1 A)))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (=> (tptp.v6_group_1 A) (= (tptp.k17_group_2 A (tptp.k5_group_2 A)) (tptp.k9_group_1 A))))) (forall ((A $$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 $$unsorted)) (=> (and (tptp.v1_group_1 B) (tptp.m1_group_2 B A)) (=> (and (tptp.v6_group_1 A) (= (tptp.k17_group_2 A B) (tptp.k9_group_1 A))) (tptp.r1_group_2 A B (tptp.k5_group_2 A))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_group_1 B) (tptp.m1_group_2 B A)) (=> (and (tptp.v1_finset_1 (tptp.k14_group_2 A B)) (= (tptp.k16_group_2 A B) (tptp.k8_group_1 A))) (and (tptp.v6_group_1 A) (tptp.r1_group_2 A B (tptp.k5_group_2 A)))))))) (forall ((A $$unsorted)) (=> (tptp.m2_subset_1 A tptp.k1_numbers tptp.k5_numbers) (forall ((B $$unsorted)) (=> (tptp.v1_finset_1 B) (not (and (forall ((C $$unsorted)) (not (and (tptp.r2_hidden C B) (forall ((D $$unsorted)) (=> (tptp.v1_finset_1 D) (not (and (= D C) (= (tptp.k4_card_1 D) A) (forall ((E $$unsorted)) (=> (tptp.r2_hidden E B) (or (= C E) (and (tptp.r2_wellord2 C E) (tptp.r1_xboole_0 C E)))))))))))) (forall ((C $$unsorted)) (=> (tptp.v1_finset_1 C) (not (and (= C (tptp.k3_tarski B)) (= (tptp.k4_card_1 C) (tptp.k2_nat_1 A (tptp.k4_card_1 B))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_group_2 B A) (and (not (tptp.v3_struct_0 B)) (tptp.v3_group_1 B) (tptp.l1_group_1 B)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.l1_group_1 A)) (exists ((B $$unsorted)) (tptp.m1_group_2 B A)))) (forall ((A $$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_1 B) (tptp.m1_group_2 B A) (tptp.v1_group_1 C) (tptp.m1_group_2 C A)) (=> (tptp.r1_group_2 A B C) (tptp.r1_group_2 A C B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A) (tptp.v1_group_1 B) (tptp.m1_group_2 B A) (tptp.v1_group_1 C) (tptp.m1_group_2 C A)) (tptp.r1_group_2 A B B))) (forall ((A $$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_1 B) (tptp.m1_group_2 B A) (tptp.v1_group_1 C) (tptp.m1_group_2 C A)) (= (tptp.r1_group_2 A B C) (= B C)))) (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.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.k1_group_2 A B) _let_1)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_group_1 A) (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (tptp.m1_subset_1 (tptp.k2_group_2 A B C) _let_1)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.k1_zfmisc_1 _let_1))) (=> (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_2)) (tptp.m1_subset_1 (tptp.k3_group_2 A B C) _let_2))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.k1_zfmisc_1 _let_1))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_group_1 A) (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_2)) (tptp.m1_subset_1 (tptp.k4_group_2 A B C) _let_2))))) (forall ((A $$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 (tptp.v1_group_1 _let_1) (tptp.m1_group_2 _let_1 A))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k6_group_2 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (and (tptp.v1_group_1 _let_1) (tptp.m1_group_2 _let_1 A))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A) (tptp.m1_group_2 B A)) (tptp.m1_subset_1 (tptp.k7_group_2 A B) (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k8_group_2 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.m1_group_2 C A)) (and (tptp.v1_group_1 _let_1) (tptp.m1_group_2 _let_1 A))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k9_group_2 A B C))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A) (tptp.m1_group_2 B A) (tptp.m1_group_2 C A)) (and (tptp.v1_group_1 _let_1) (tptp.m1_group_2 _let_1 A))))) (forall ((A $$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.m1_group_2 C A)) (= (tptp.k9_group_2 A B C) (tptp.k9_group_2 A C B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A) (tptp.m1_group_2 B A) (tptp.m1_group_2 C A)) (= (tptp.k9_group_2 A B C) (tptp.k8_group_2 A B C)))) (forall ((A $$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.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A) (tptp.m1_group_2 B A) (tptp.m1_subset_1 C _let_1)) (tptp.m1_subset_1 (tptp.k10_group_2 A B C) _let_1)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A) (tptp.m1_group_2 B A) (tptp.m1_subset_1 C _let_1)) (tptp.m1_subset_1 (tptp.k11_group_2 A B C) _let_1)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A) (tptp.m1_group_2 B A) (tptp.m1_subset_1 C _let_1)) (tptp.m1_subset_1 (tptp.k12_group_2 A B C) (tptp.k1_zfmisc_1 _let_1))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A) (tptp.m1_group_2 B A) (tptp.m1_subset_1 C _let_1)) (tptp.m1_subset_1 (tptp.k13_group_2 A B C) (tptp.k1_zfmisc_1 _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A) (tptp.m1_group_2 B A)) (tptp.m1_subset_1 (tptp.k14_group_2 A B) (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A) (tptp.m1_group_2 B A)) (tptp.m1_subset_1 (tptp.k15_group_2 A B) (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A) (tptp.m1_group_2 B A)) (tptp.v1_card_1 (tptp.k16_group_2 A B)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A) (tptp.m1_group_2 B A)) (tptp.m2_subset_1 (tptp.k17_group_2 A B) tptp.k1_numbers tptp.k5_numbers))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.m1_subset_1 B A)) (tptp.m1_subset_1 (tptp.k18_group_2 A B) (tptp.k5_finsub_1 A)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.m1_subset_1 B A)) (= (tptp.k18_group_2 A B) (tptp.k1_tarski B)))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (tptp.k1_group_2 A B) (tptp.a_2_0_group_2 A B)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 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))) (= (tptp.k2_group_2 A B C) (tptp.a_3_0_group_2 A B C)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (= (tptp.k14_group_2 A (tptp.k5_group_2 A)) (tptp.a_1_0_group_2 A)))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (= (tptp.k15_group_2 A (tptp.k5_group_2 A)) (tptp.a_1_0_group_2 A)))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_group_1 B) (tptp.m1_group_2 B A)) (=> (= (tptp.k14_group_2 A B) (tptp.a_1_0_group_2 A)) (tptp.r1_group_2 A B (tptp.k5_group_2 A))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_group_1 B) (tptp.m1_group_2 B A)) (=> (= (tptp.k15_group_2 A B) (tptp.a_1_0_group_2 A)) (tptp.r1_group_2 A B (tptp.k5_group_2 A))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_group_1 B) (tptp.v4_group_1 B) (tptp.l1_group_1 B) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B)))) (= (tptp.r2_hidden A (tptp.a_2_0_group_2 B C)) (exists ((D $$unsorted)) (and (tptp.m1_subset_1 D (tptp.u1_struct_0 B)) (= A (tptp.k3_group_1 B D)) (tptp.r2_hidden D C)))))) (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.l1_group_1 B) (tptp.m1_subset_1 C _let_1) (tptp.m1_subset_1 D _let_1)) (= (tptp.r2_hidden A (tptp.a_3_0_group_2 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.k1_group_1 B E F)) (tptp.r2_hidden E C) (tptp.r2_hidden F D)))))))) (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_2 B)) (exists ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (and (tptp.m1_subset_1 C _let_1) (= A (tptp.k6_domain_1 _let_1 C)))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A) (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v12_vectsp_1 B A) (tptp.l4_vectsp_1 B A)) (exists ((C $$unsorted)) (and (tptp.m1_vectsp_4 C A B) (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.v11_vectsp_1 C A) (tptp.v12_vectsp_1 C A))))) (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.l4_vectsp_1 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B))) (= (tptp.v1_vectsp_4 C A B) (and (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 B)) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.u1_struct_0 B)) (=> (and (tptp.r2_hidden D C) (tptp.r2_hidden E C)) (tptp.r2_hidden (tptp.k2_rlvect_1 B D E) C)))))) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.u1_struct_0 B)) (=> (tptp.r2_hidden E C) (tptp.r2_hidden (tptp.k6_vectsp_1 A B D E) C)))))))))))))) true true true (forall ((A $$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 $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v12_vectsp_1 B A) (tptp.l4_vectsp_1 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B))) (=> (tptp.v1_vectsp_4 C A B) (or (= C tptp.k1_xboole_0) (tptp.r2_hidden (tptp.k1_rlvect_1 B) C))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 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 $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B))) (=> (tptp.v1_vectsp_4 C A B) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 B)) (=> (tptp.r2_hidden D C) (tptp.r2_hidden (tptp.k5_rlvect_1 B D) C))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 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 $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B))) (=> (tptp.v1_vectsp_4 C A B) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 B)) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.u1_struct_0 B)) (=> (and (tptp.r2_hidden D C) (tptp.r2_hidden E C)) (tptp.r2_hidden (tptp.k6_rlvect_1 B D E) C))))))))))))) (forall ((A $$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.v4_group_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v12_vectsp_1 B A) (tptp.l4_vectsp_1 B A)) (tptp.v1_vectsp_4 (tptp.k6_domain_1 (tptp.u1_struct_0 B) (tptp.k1_rlvect_1 B)) A B))))) (forall ((A $$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.v4_group_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v12_vectsp_1 B A) (tptp.l4_vectsp_1 B A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 _let_1)) (=> (= _let_1 C) (tptp.v1_vectsp_4 C A B))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 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 $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B))) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 _let_1)) (=> (and (tptp.v1_vectsp_4 C A B) (tptp.v1_vectsp_4 D A B)) (tptp.v1_vectsp_4 (tptp.k5_subset_1 _let_1 C D) A B))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 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 $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 C))) (=> (and (not (tptp.v3_struct_0 C)) (tptp.v3_rlvect_1 C) (tptp.v4_rlvect_1 C) (tptp.v5_rlvect_1 C) (tptp.v6_rlvect_1 C) (tptp.v12_vectsp_1 C A) (tptp.l4_vectsp_1 C A)) (= (tptp.m1_vectsp_4 C A B) (and (tptp.r1_tarski _let_1 (tptp.u1_struct_0 B)) (= (tptp.u2_struct_0 C) (tptp.u2_struct_0 B)) (= (tptp.u1_rlvect_1 C) (tptp.k1_realset1 (tptp.u1_rlvect_1 B) _let_1)) (= (tptp.u2_vectsp_1 A C) (tptp.k7_relat_1 (tptp.u2_vectsp_1 A B) (tptp.k2_zfmisc_1 (tptp.u1_struct_0 A) _let_1)))))))))))) true true true true true (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v4_group_1 B) (tptp.v7_vectsp_1 B) (tptp.v8_vectsp_1 B) (tptp.l3_vectsp_1 B)) (forall ((C $$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.v12_vectsp_1 C B) (tptp.l4_vectsp_1 C B)) (forall ((D $$unsorted)) (=> (tptp.m1_vectsp_4 D B C) (forall ((E $$unsorted)) (=> (tptp.m1_vectsp_4 E B C) (=> (and (tptp.r1_rlvect_1 D A) (tptp.m1_vectsp_4 D B E)) (tptp.r1_rlvect_1 E A)))))))))) (forall ((A $$unsorted) (B $$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.v4_group_1 B) (tptp.v7_vectsp_1 B) (tptp.v8_vectsp_1 B) (tptp.l3_vectsp_1 B)) (forall ((C $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.v3_rlvect_1 C) (tptp.v4_rlvect_1 C) (tptp.v5_rlvect_1 C) (tptp.v6_rlvect_1 C) (tptp.v12_vectsp_1 C B) (tptp.l4_vectsp_1 C B)) (forall ((D $$unsorted)) (=> (tptp.m1_vectsp_4 D B C) (=> (tptp.r1_rlvect_1 D A) (tptp.r1_rlvect_1 C A)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A)) (forall ((B $$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.v12_vectsp_1 B A) (tptp.l4_vectsp_1 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_vectsp_4 C A B) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 C)) (tptp.m1_subset_1 D (tptp.u1_struct_0 B)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A)) (forall ((B $$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.v12_vectsp_1 B A) (tptp.l4_vectsp_1 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_vectsp_4 C A B) (= (tptp.k1_rlvect_1 C) (tptp.k1_rlvect_1 B)))))))) (forall ((A $$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_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v12_vectsp_1 B A) (tptp.l4_vectsp_1 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_vectsp_4 C A B) (forall ((D $$unsorted)) (=> (tptp.m1_vectsp_4 D A B) (= (tptp.k1_rlvect_1 C) (tptp.k1_rlvect_1 D)))))))))) (forall ((A $$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 $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v12_vectsp_1 B A) (tptp.l4_vectsp_1 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 B)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 B)) (forall ((E $$unsorted)) (=> (tptp.m1_vectsp_4 E A B) (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F (tptp.u1_struct_0 E)) (forall ((G $$unsorted)) (=> (tptp.m1_subset_1 G (tptp.u1_struct_0 E)) (=> (and (= F C) (= G D)) (= (tptp.k4_rlvect_1 E F G) (tptp.k4_rlvect_1 B C D))))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 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 $$unsorted)) (=> (tptp.m1_vectsp_4 E A B) (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F (tptp.u1_struct_0 E)) (=> (= F D) (= (tptp.k6_vectsp_1 A E C F) (tptp.k6_vectsp_1 A B C D))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 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 $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 B)) (forall ((D $$unsorted)) (=> (tptp.m1_vectsp_4 D A B) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.u1_struct_0 D)) (=> (= E C) (= (tptp.k5_rlvect_1 B C) (tptp.k5_rlvect_1 D E))))))))))))) (forall ((A $$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 $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v12_vectsp_1 B A) (tptp.l4_vectsp_1 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 B)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 B)) (forall ((E $$unsorted)) (=> (tptp.m1_vectsp_4 E A B) (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F (tptp.u1_struct_0 E)) (forall ((G $$unsorted)) (=> (tptp.m1_subset_1 G (tptp.u1_struct_0 E)) (=> (and (= F C) (= G D)) (= (tptp.k6_rlvect_1 E F G) (tptp.k6_rlvect_1 B C D))))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 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 $$unsorted)) (=> (tptp.m1_vectsp_4 C A B) (tptp.r1_rlvect_1 C (tptp.k1_rlvect_1 B)))))))) (forall ((A $$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_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v12_vectsp_1 B A) (tptp.l4_vectsp_1 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_vectsp_4 C A B) (forall ((D $$unsorted)) (=> (tptp.m1_vectsp_4 D A B) (tptp.r1_rlvect_1 D (tptp.k1_rlvect_1 C)))))))))) (forall ((A $$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.v4_group_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v12_vectsp_1 B A) (tptp.l4_vectsp_1 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_vectsp_4 C A B) (tptp.r1_rlvect_1 B (tptp.k1_rlvect_1 C)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 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 $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 B)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 B)) (forall ((E $$unsorted)) (=> (tptp.m1_vectsp_4 E A B) (=> (and (tptp.r1_rlvect_1 E C) (tptp.r1_rlvect_1 E D)) (tptp.r1_rlvect_1 E (tptp.k4_rlvect_1 B C D))))))))))))) (forall ((A $$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.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v12_vectsp_1 B A) (tptp.l4_vectsp_1 B A)) (forall ((C $$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_vectsp_4 E A B) (=> (tptp.r1_rlvect_1 E D) (tptp.r1_rlvect_1 E (tptp.k6_vectsp_1 A B C D))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 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 $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 B)) (forall ((D $$unsorted)) (=> (tptp.m1_vectsp_4 D A B) (=> (tptp.r1_rlvect_1 D C) (tptp.r1_rlvect_1 D (tptp.k5_rlvect_1 B C))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 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 $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 B)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 B)) (forall ((E $$unsorted)) (=> (tptp.m1_vectsp_4 E A B) (=> (and (tptp.r1_rlvect_1 E C) (tptp.r1_rlvect_1 E D)) (tptp.r1_rlvect_1 E (tptp.k6_rlvect_1 B C D))))))))))))) (forall ((A $$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.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v12_vectsp_1 B A) (tptp.l4_vectsp_1 B A)) (tptp.m1_vectsp_4 B A B))))) (forall ((A $$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.v4_group_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v11_vectsp_1 B A) (tptp.v12_vectsp_1 B A) (tptp.l4_vectsp_1 B A)) (forall ((C $$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.v11_vectsp_1 C A) (tptp.v12_vectsp_1 C A) (tptp.l4_vectsp_1 C A)) (=> (and (tptp.m1_vectsp_4 C A B) (tptp.m1_vectsp_4 B A C)) (= C B)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 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 $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.v3_rlvect_1 C) (tptp.v4_rlvect_1 C) (tptp.v5_rlvect_1 C) (tptp.v6_rlvect_1 C) (tptp.v12_vectsp_1 C A) (tptp.l4_vectsp_1 C A)) (forall ((D $$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.v12_vectsp_1 D A) (tptp.l4_vectsp_1 D A)) (=> (and (tptp.m1_vectsp_4 B A C) (tptp.m1_vectsp_4 C A D)) (tptp.m1_vectsp_4 B A 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.v3_rlvect_1 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 $$unsorted)) (=> (tptp.m1_vectsp_4 C A B) (forall ((D $$unsorted)) (=> (tptp.m1_vectsp_4 D A B) (=> (tptp.r1_tarski (tptp.u1_struct_0 C) (tptp.u1_struct_0 D)) (tptp.m1_vectsp_4 C A 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.v3_rlvect_1 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 $$unsorted)) (=> (tptp.m1_vectsp_4 C A B) (forall ((D $$unsorted)) (=> (tptp.m1_vectsp_4 D A B) (=> (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.u1_struct_0 B)) (=> (tptp.r1_rlvect_1 C E) (tptp.r1_rlvect_1 D E)))) (tptp.m1_vectsp_4 C A D)))))))))) (forall ((A $$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 $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v12_vectsp_1 B A) (tptp.l4_vectsp_1 B A)) (forall ((C $$unsorted)) (=> (and (tptp.v11_vectsp_1 C A) (tptp.m1_vectsp_4 C A B)) (forall ((D $$unsorted)) (=> (and (tptp.v11_vectsp_1 D A) (tptp.m1_vectsp_4 D A B)) (=> (= (tptp.u1_struct_0 C) (tptp.u1_struct_0 D)) (= C D)))))))))) (forall ((A $$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.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v12_vectsp_1 B A) (tptp.l4_vectsp_1 B A)) (forall ((C $$unsorted)) (=> (and (tptp.v11_vectsp_1 C A) (tptp.m1_vectsp_4 C A B)) (forall ((D $$unsorted)) (=> (and (tptp.v11_vectsp_1 D A) (tptp.m1_vectsp_4 D A B)) (=> (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.u1_struct_0 B)) (= (tptp.r1_rlvect_1 C E) (tptp.r1_rlvect_1 D E)))) (= C D)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.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) (tptp.l4_vectsp_1 B A)) (forall ((C $$unsorted)) (=> (and (tptp.v11_vectsp_1 C A) (tptp.m1_vectsp_4 C A B)) (=> (= (tptp.u1_struct_0 C) (tptp.u1_struct_0 B)) (= C B)))))))) (forall ((A $$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.v4_group_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v11_vectsp_1 B A) (tptp.v12_vectsp_1 B A) (tptp.l4_vectsp_1 B A)) (forall ((C $$unsorted)) (=> (and (tptp.v11_vectsp_1 C A) (tptp.m1_vectsp_4 C A B)) (=> (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 B)) (tptp.r1_rlvect_1 C D))) (= C B)))))))) (forall ((A $$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.v4_group_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v12_vectsp_1 B A) (tptp.l4_vectsp_1 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_vectsp_4 C A B) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B))) (=> (= (tptp.u1_struct_0 C) D) (tptp.v1_vectsp_4 D A B)))))))))) (forall ((A $$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.v4_group_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v12_vectsp_1 B A) (tptp.l4_vectsp_1 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B))) (not (and (not (= C tptp.k1_xboole_0)) (tptp.v1_vectsp_4 C A B) (forall ((D $$unsorted)) (=> (and (tptp.v11_vectsp_1 D A) (tptp.m1_vectsp_4 D A B)) (not (= C (tptp.u1_struct_0 D))))))))))))) (forall ((A $$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 $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v12_vectsp_1 B A) (tptp.l4_vectsp_1 B A)) (forall ((C $$unsorted)) (=> (and (tptp.v11_vectsp_1 C A) (tptp.m1_vectsp_4 C A B)) (= (= C (tptp.k1_vectsp_4 A B)) (= (tptp.u1_struct_0 C) (tptp.k6_domain_1 (tptp.u1_struct_0 B) (tptp.k1_rlvect_1 B)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A)) (forall ((B $$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.v12_vectsp_1 B A) (tptp.l4_vectsp_1 B A)) (= (tptp.k2_vectsp_4 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))))))) true true true (forall ((A $$unsorted) (B $$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.v4_group_1 B) (tptp.v7_vectsp_1 B) (tptp.v8_vectsp_1 B) (tptp.l3_vectsp_1 B)) (forall ((C $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.v3_rlvect_1 C) (tptp.v4_rlvect_1 C) (tptp.v5_rlvect_1 C) (tptp.v6_rlvect_1 C) (tptp.v12_vectsp_1 C B) (tptp.l4_vectsp_1 C B)) (= (tptp.r1_rlvect_1 (tptp.k1_vectsp_4 B C) A) (= A (tptp.k1_rlvect_1 C))))))) (forall ((A $$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.v4_group_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v12_vectsp_1 B A) (tptp.l4_vectsp_1 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_vectsp_4 C A B) (= (tptp.k1_vectsp_4 A C) (tptp.k1_vectsp_4 A B)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 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 $$unsorted)) (=> (tptp.m1_vectsp_4 C A B) (forall ((D $$unsorted)) (=> (tptp.m1_vectsp_4 D A B) (= (tptp.k1_vectsp_4 A C) (tptp.k1_vectsp_4 A 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.v3_rlvect_1 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 $$unsorted)) (=> (tptp.m1_vectsp_4 C A B) (tptp.m1_vectsp_4 (tptp.k1_vectsp_4 A C) A B))))))) (forall ((A $$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.v4_group_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v12_vectsp_1 B A) (tptp.l4_vectsp_1 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_vectsp_4 C A B) (tptp.m1_vectsp_4 (tptp.k1_vectsp_4 A B) A C))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 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 $$unsorted)) (=> (tptp.m1_vectsp_4 C A B) (forall ((D $$unsorted)) (=> (tptp.m1_vectsp_4 D A B) (tptp.m1_vectsp_4 (tptp.k1_vectsp_4 A C) A D))))))))) 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)) (=> (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.v11_vectsp_1 B A) (tptp.v12_vectsp_1 B A) (tptp.l4_vectsp_1 B A)) (tptp.m1_vectsp_4 B A (tptp.k2_vectsp_4 A B)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 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 $$unsorted)) (=> (tptp.m1_vectsp_4 C A B) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B))) (= (tptp.m2_vectsp_4 D A B C) (exists ((E $$unsorted)) (and (tptp.m1_subset_1 E (tptp.u1_struct_0 B)) (= D (tptp.k3_vectsp_4 A B E C))))))))))))) true true true (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v4_group_1 B) (tptp.v7_vectsp_1 B) (tptp.v8_vectsp_1 B) (tptp.l3_vectsp_1 B)) (forall ((C $$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.v12_vectsp_1 C B) (tptp.l4_vectsp_1 C B)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 C)) (forall ((E $$unsorted)) (=> (tptp.m1_vectsp_4 E B C) (= (tptp.r2_hidden A (tptp.k3_vectsp_4 B C D E)) (exists ((F $$unsorted)) (and (tptp.m1_subset_1 F (tptp.u1_struct_0 C)) (tptp.r1_rlvect_1 E F) (= A (tptp.k4_rlvect_1 C D F))))))))))))) (forall ((A $$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 $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v12_vectsp_1 B A) (tptp.l4_vectsp_1 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 B)) (forall ((D $$unsorted)) (=> (tptp.m1_vectsp_4 D A B) (= (tptp.r2_hidden (tptp.k1_rlvect_1 B) (tptp.k3_vectsp_4 A B C D)) (tptp.r1_rlvect_1 D C)))))))))) (forall ((A $$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.v4_group_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v12_vectsp_1 B A) (tptp.l4_vectsp_1 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 B)) (forall ((D $$unsorted)) (=> (tptp.m1_vectsp_4 D A B) (tptp.r2_hidden C (tptp.k3_vectsp_4 A B C D)))))))))) (forall ((A $$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.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v12_vectsp_1 B A) (tptp.l4_vectsp_1 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_vectsp_4 C A B) (= (tptp.k3_vectsp_4 A B (tptp.k1_rlvect_1 B) C) (tptp.u1_struct_0 C)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 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 $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (=> (tptp.m1_subset_1 C _let_1) (= (tptp.k3_vectsp_4 A B C (tptp.k1_vectsp_4 A B)) (tptp.k6_domain_1 _let_1 C))))))))) (forall ((A $$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.v4_group_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v12_vectsp_1 B A) (tptp.l4_vectsp_1 B A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (=> (tptp.m1_subset_1 C _let_1) (= (tptp.k3_vectsp_4 A B C (tptp.k2_vectsp_4 A B)) _let_1)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A)) (forall ((B $$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.v12_vectsp_1 B A) (tptp.l4_vectsp_1 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 B)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k3_vectsp_4 A B C D))) (=> (tptp.m1_vectsp_4 D A B) (= (tptp.r2_hidden (tptp.k1_rlvect_1 B) _let_1) (= _let_1 (tptp.u1_struct_0 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.v3_rlvect_1 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 $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 B)) (forall ((D $$unsorted)) (=> (tptp.m1_vectsp_4 D A B) (= (tptp.r1_rlvect_1 D C) (= (tptp.k3_vectsp_4 A B C D) (tptp.u1_struct_0 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.v3_rlvect_1 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 $$unsorted)) (=> (tptp.m1_vectsp_4 E A B) (=> (tptp.r1_rlvect_1 E D) (= (tptp.k3_vectsp_4 A B (tptp.k6_vectsp_1 A B C D) E) (tptp.u1_struct_0 E))))))))))))) (forall ((A $$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 $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v12_vectsp_1 B A) (tptp.l4_vectsp_1 B A)) (forall ((C $$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_vectsp_4 E A B) (=> (= (tptp.k3_vectsp_4 A B (tptp.k6_vectsp_1 A B C D) E) (tptp.u1_struct_0 E)) (or (= C (tptp.k1_rlvect_1 A)) (tptp.r1_rlvect_1 E D))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v7_group_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.v9_vectsp_1 A) (not (tptp.v10_vectsp_1 A)) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (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.v12_vectsp_1 B A) (tptp.l4_vectsp_1 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 B)) (forall ((D $$unsorted)) (=> (tptp.m1_vectsp_4 D A B) (= (tptp.r1_rlvect_1 D C) (= (tptp.k3_vectsp_4 A B (tptp.k5_rlvect_1 B C) D) (tptp.u1_struct_0 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.v3_rlvect_1 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 $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 B)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 B)) (forall ((E $$unsorted)) (=> (tptp.m1_vectsp_4 E A B) (= (tptp.r1_rlvect_1 E C) (= (tptp.k3_vectsp_4 A B D E) (tptp.k3_vectsp_4 A B (tptp.k4_rlvect_1 B D C) E))))))))))))) (forall ((A $$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 $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v12_vectsp_1 B A) (tptp.l4_vectsp_1 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 B)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 B)) (forall ((E $$unsorted)) (=> (tptp.m1_vectsp_4 E A B) (= (tptp.r1_rlvect_1 E C) (= (tptp.k3_vectsp_4 A B D E) (tptp.k3_vectsp_4 A B (tptp.k6_rlvect_1 B D C) E))))))))))))) (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.v3_rlvect_1 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 $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 B)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 B)) (forall ((E $$unsorted)) (let ((_let_1 (tptp.k3_vectsp_4 A B D E))) (=> (tptp.m1_vectsp_4 E A B) (= (tptp.r2_hidden C _let_1) (= _let_1 (tptp.k3_vectsp_4 A B C E)))))))))))))) (forall ((A $$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 $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v12_vectsp_1 B A) (tptp.l4_vectsp_1 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 B)) (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 $$unsorted)) (let ((_let_1 (tptp.k3_vectsp_4 A B E F))) (let ((_let_2 (tptp.k3_vectsp_4 A B D F))) (=> (tptp.m1_vectsp_4 F A B) (=> (and (tptp.r2_hidden C _let_2) (tptp.r2_hidden C _let_1)) (= _let_2 _let_1)))))))))))))))) (forall ((A $$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 $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v12_vectsp_1 B A) (tptp.l4_vectsp_1 B A)) (forall ((C $$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_vectsp_4 E A B) (=> (tptp.r2_hidden (tptp.k6_vectsp_1 A B C D) (tptp.k3_vectsp_4 A B D E)) (or (= C (tptp.k2_group_1 A)) (tptp.r1_rlvect_1 E 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.v3_rlvect_1 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 $$unsorted)) (=> (tptp.m1_vectsp_4 E A B) (=> (tptp.r1_rlvect_1 E D) (tptp.r2_hidden (tptp.k6_vectsp_1 A B C D) (tptp.k3_vectsp_4 A B D E))))))))))))) (forall ((A $$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 $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v12_vectsp_1 B A) (tptp.l4_vectsp_1 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 B)) (forall ((D $$unsorted)) (=> (tptp.m1_vectsp_4 D A B) (=> (tptp.r1_rlvect_1 D C) (tptp.r2_hidden (tptp.k5_rlvect_1 B C) (tptp.k3_vectsp_4 A B C D))))))))))) (forall ((A $$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.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v12_vectsp_1 B A) (tptp.l4_vectsp_1 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 B)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 B)) (forall ((E $$unsorted)) (=> (tptp.m1_vectsp_4 E A B) (= (tptp.r2_hidden (tptp.k4_rlvect_1 B C D) (tptp.k3_vectsp_4 A B D E)) (tptp.r1_rlvect_1 E C)))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 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 $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 B)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 B)) (forall ((E $$unsorted)) (=> (tptp.m1_vectsp_4 E A B) (= (tptp.r2_hidden (tptp.k6_rlvect_1 B C D) (tptp.k3_vectsp_4 A B C E)) (tptp.r1_rlvect_1 E D)))))))))))) true (forall ((A $$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 $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v12_vectsp_1 B A) (tptp.l4_vectsp_1 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 B)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 B)) (forall ((E $$unsorted)) (=> (tptp.m1_vectsp_4 E A B) (= (tptp.r2_hidden C (tptp.k3_vectsp_4 A B D E)) (exists ((F $$unsorted)) (and (tptp.m1_subset_1 F (tptp.u1_struct_0 B)) (tptp.r1_rlvect_1 E F) (= C (tptp.k6_rlvect_1 B D F))))))))))))))) (forall ((A $$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 $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v12_vectsp_1 B A) (tptp.l4_vectsp_1 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 B)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 B)) (forall ((E $$unsorted)) (=> (tptp.m1_vectsp_4 E A B) (= (exists ((F $$unsorted)) (let ((_let_1 (tptp.k3_vectsp_4 A B F E))) (and (tptp.m1_subset_1 F (tptp.u1_struct_0 B)) (tptp.r2_hidden C _let_1) (tptp.r2_hidden D _let_1)))) (tptp.r1_rlvect_1 E (tptp.k6_rlvect_1 B C D))))))))))))) (forall ((A $$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.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v12_vectsp_1 B A) (tptp.l4_vectsp_1 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 B)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 B)) (forall ((E $$unsorted)) (=> (tptp.m1_vectsp_4 E A B) (not (and (= (tptp.k3_vectsp_4 A B C E) (tptp.k3_vectsp_4 A B D E)) (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F (tptp.u1_struct_0 B)) (not (and (tptp.r1_rlvect_1 E F) (= (tptp.k4_rlvect_1 B C F) D))))))))))))))))) (forall ((A $$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 $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v12_vectsp_1 B A) (tptp.l4_vectsp_1 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 B)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 B)) (forall ((E $$unsorted)) (=> (tptp.m1_vectsp_4 E A B) (not (and (= (tptp.k3_vectsp_4 A B C E) (tptp.k3_vectsp_4 A B D E)) (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F (tptp.u1_struct_0 B)) (not (and (tptp.r1_rlvect_1 E F) (= (tptp.k6_rlvect_1 B C F) D))))))))))))))))) (forall ((A $$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 $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v12_vectsp_1 B A) (tptp.l4_vectsp_1 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 B)) (forall ((D $$unsorted)) (=> (and (tptp.v11_vectsp_1 D A) (tptp.m1_vectsp_4 D A B)) (forall ((E $$unsorted)) (=> (and (tptp.v11_vectsp_1 E A) (tptp.m1_vectsp_4 E A B)) (= (= (tptp.k3_vectsp_4 A B C D) (tptp.k3_vectsp_4 A B C E)) (= D E)))))))))))) (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.v3_rlvect_1 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 $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 B)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 B)) (forall ((E $$unsorted)) (=> (and (tptp.v11_vectsp_1 E A) (tptp.m1_vectsp_4 E A B)) (forall ((F $$unsorted)) (=> (and (tptp.v11_vectsp_1 F A) (tptp.m1_vectsp_4 F A B)) (=> (= (tptp.k3_vectsp_4 A B C E) (tptp.k3_vectsp_4 A B D F)) (= E F)))))))))))))) (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.v3_rlvect_1 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 $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 B)) (forall ((D $$unsorted)) (=> (tptp.m1_vectsp_4 D A B) (exists ((E $$unsorted)) (and (tptp.m2_vectsp_4 E A B D) (tptp.r2_hidden C E))))))))))) (forall ((A $$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 $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v12_vectsp_1 B A) (tptp.l4_vectsp_1 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_vectsp_4 C A B) (forall ((D $$unsorted)) (=> (tptp.m2_vectsp_4 D A B C) (= (tptp.v1_vectsp_4 D A B) (= D (tptp.u1_struct_0 C))))))))))) (forall ((A $$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.v4_group_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v12_vectsp_1 B A) (tptp.l4_vectsp_1 B A)) (forall ((C $$unsorted)) (=> (and (tptp.v11_vectsp_1 C A) (tptp.m1_vectsp_4 C A B)) (forall ((D $$unsorted)) (=> (and (tptp.v11_vectsp_1 D A) (tptp.m1_vectsp_4 D A B)) (forall ((E $$unsorted)) (=> (tptp.m2_vectsp_4 E A B C) (forall ((F $$unsorted)) (=> (tptp.m2_vectsp_4 F A B D) (=> (= E F) (= C D)))))))))))))) (forall ((A $$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.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v12_vectsp_1 B A) (tptp.l4_vectsp_1 B A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (=> (tptp.m1_subset_1 C _let_1) (tptp.m2_vectsp_4 (tptp.k6_domain_1 _let_1 C) A B (tptp.k1_vectsp_4 A B))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 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 $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B))) (not (and (tptp.m2_vectsp_4 C A B (tptp.k1_vectsp_4 A B)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (=> (tptp.m1_subset_1 D _let_1) (not (= C (tptp.k6_domain_1 _let_1 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.v3_rlvect_1 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 $$unsorted)) (=> (tptp.m1_vectsp_4 C A B) (tptp.m2_vectsp_4 (tptp.u1_struct_0 C) A B C))))))) (forall ((A $$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.v4_group_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v12_vectsp_1 B A) (tptp.l4_vectsp_1 B A)) (tptp.m2_vectsp_4 (tptp.u1_struct_0 B) A B (tptp.k2_vectsp_4 A B)))))) (forall ((A $$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.v4_group_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v12_vectsp_1 B A) (tptp.l4_vectsp_1 B A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 _let_1)) (=> (tptp.m2_vectsp_4 C A B (tptp.k2_vectsp_4 A B)) (= C _let_1))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 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 $$unsorted)) (=> (tptp.m1_vectsp_4 C A B) (forall ((D $$unsorted)) (=> (tptp.m2_vectsp_4 D A B C) (= (tptp.r2_hidden (tptp.k1_rlvect_1 B) D) (= D (tptp.u1_struct_0 C))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 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 $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 B)) (forall ((D $$unsorted)) (=> (tptp.m1_vectsp_4 D A B) (forall ((E $$unsorted)) (=> (tptp.m2_vectsp_4 E A B D) (= (tptp.r2_hidden C E) (= E (tptp.k3_vectsp_4 A B C D))))))))))))) (forall ((A $$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.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v12_vectsp_1 B A) (tptp.l4_vectsp_1 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 B)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 B)) (forall ((E $$unsorted)) (=> (tptp.m1_vectsp_4 E A B) (forall ((F $$unsorted)) (=> (tptp.m2_vectsp_4 F A B E) (not (and (tptp.r2_hidden C F) (tptp.r2_hidden D F) (forall ((G $$unsorted)) (=> (tptp.m1_subset_1 G (tptp.u1_struct_0 B)) (not (and (tptp.r1_rlvect_1 E G) (= (tptp.k4_rlvect_1 B C G) 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.v3_rlvect_1 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 $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 B)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 B)) (forall ((E $$unsorted)) (=> (tptp.m1_vectsp_4 E A B) (forall ((F $$unsorted)) (=> (tptp.m2_vectsp_4 F A B E) (not (and (tptp.r2_hidden C F) (tptp.r2_hidden D F) (forall ((G $$unsorted)) (=> (tptp.m1_subset_1 G (tptp.u1_struct_0 B)) (not (and (tptp.r1_rlvect_1 E G) (= (tptp.k6_rlvect_1 B C G) D))))))))))))))))))) (forall ((A $$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 $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v12_vectsp_1 B A) (tptp.l4_vectsp_1 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 B)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 B)) (forall ((E $$unsorted)) (=> (tptp.m1_vectsp_4 E A B) (= (exists ((F $$unsorted)) (and (tptp.m2_vectsp_4 F A B E) (tptp.r2_hidden C F) (tptp.r2_hidden D F))) (tptp.r1_rlvect_1 E (tptp.k6_rlvect_1 B C D))))))))))))) (forall ((A $$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.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v12_vectsp_1 B A) (tptp.l4_vectsp_1 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 B)) (forall ((D $$unsorted)) (=> (tptp.m1_vectsp_4 D A B) (forall ((E $$unsorted)) (=> (tptp.m2_vectsp_4 E A B D) (forall ((F $$unsorted)) (=> (tptp.m2_vectsp_4 F A B D) (=> (and (tptp.r2_hidden C E) (tptp.r2_hidden C F)) (= E F)))))))))))))) true true true true true (forall ((A $$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_group_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v12_vectsp_1 B A) (tptp.l4_vectsp_1 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.u1_struct_0 B)) (= (tptp.k6_vectsp_1 A B (tptp.k6_rlvect_1 A C D) E) (tptp.k6_rlvect_1 B (tptp.k6_vectsp_1 A B C E) (tptp.k6_vectsp_1 A B D E))))))))))))) (forall ((A $$unsorted) (B $$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) (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.v12_vectsp_1 B A) (tptp.l4_vectsp_1 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_vectsp_4 C A B) (and (not (tptp.v3_struct_0 C)) (tptp.v3_rlvect_1 C) (tptp.v4_rlvect_1 C) (tptp.v5_rlvect_1 C) (tptp.v6_rlvect_1 C) (tptp.v12_vectsp_1 C A) (tptp.l4_vectsp_1 C A)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A) (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v12_vectsp_1 B A) (tptp.l4_vectsp_1 B A)) (exists ((C $$unsorted)) (tptp.m1_vectsp_4 C A B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A) (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v12_vectsp_1 B A) (tptp.l4_vectsp_1 B A) (tptp.m1_vectsp_4 C A B)) (forall ((D $$unsorted)) (=> (tptp.m2_vectsp_4 D A B C) (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A) (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v12_vectsp_1 B A) (tptp.l4_vectsp_1 B A) (tptp.m1_vectsp_4 C A B)) (exists ((D $$unsorted)) (tptp.m2_vectsp_4 D A B C)))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k1_vectsp_4 A B))) (=> (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) (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.v12_vectsp_1 B A) (tptp.l4_vectsp_1 B A)) (and (tptp.v11_vectsp_1 _let_1 A) (tptp.m1_vectsp_4 _let_1 A B))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k2_vectsp_4 A B))) (=> (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) (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.v12_vectsp_1 B A) (tptp.l4_vectsp_1 B A)) (and (tptp.v11_vectsp_1 _let_1 A) (tptp.m1_vectsp_4 _let_1 A B))))) (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.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) (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.v12_vectsp_1 B A) (tptp.l4_vectsp_1 B A) (tptp.m1_subset_1 C _let_1) (tptp.m1_vectsp_4 D A B)) (tptp.m1_subset_1 (tptp.k3_vectsp_4 A B C D) (tptp.k1_zfmisc_1 _let_1))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A)) (forall ((B $$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.v12_vectsp_1 B A) (tptp.l4_vectsp_1 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B))) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B))) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B))) (=> (and (tptp.v1_vectsp_4 C A B) (tptp.v1_vectsp_4 D A B) (= E (tptp.a_4_0_vectsp_4 A B C D))) (tptp.v1_vectsp_4 E A B)))))))))))) (forall ((A $$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.v4_group_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v12_vectsp_1 B A) (tptp.l4_vectsp_1 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 B)) (forall ((D $$unsorted)) (=> (tptp.m1_vectsp_4 D A B) (= (tptp.k3_vectsp_4 A B C D) (tptp.a_4_1_vectsp_4 A B C D)))))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 C)))) (=> (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.v4_group_1 B) (tptp.v7_vectsp_1 B) (tptp.v8_vectsp_1 B) (tptp.l3_vectsp_1 B) (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.v12_vectsp_1 C B) (tptp.l4_vectsp_1 C B) (tptp.m1_subset_1 D _let_1) (tptp.m1_subset_1 E _let_1)) (= (tptp.r2_hidden A (tptp.a_4_0_vectsp_4 B C D E)) (exists ((F $$unsorted) (G $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 C))) (and (tptp.m1_subset_1 F _let_1) (tptp.m1_subset_1 G _let_1) (= A (tptp.k4_rlvect_1 C F G)) (tptp.r2_hidden F D) (tptp.r2_hidden G E)))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v4_group_1 B) (tptp.v7_vectsp_1 B) (tptp.v8_vectsp_1 B) (tptp.l3_vectsp_1 B) (not (tptp.v3_struct_0 C)) (tptp.v3_rlvect_1 C) (tptp.v4_rlvect_1 C) (tptp.v5_rlvect_1 C) (tptp.v6_rlvect_1 C) (tptp.v12_vectsp_1 C B) (tptp.l4_vectsp_1 C B) (tptp.m1_subset_1 D (tptp.u1_struct_0 C)) (tptp.m1_vectsp_4 E B C)) (= (tptp.r2_hidden A (tptp.a_4_1_vectsp_4 B C D E)) (exists ((F $$unsorted)) (and (tptp.m1_subset_1 F (tptp.u1_struct_0 C)) (= A (tptp.k4_rlvect_1 C D F)) (tptp.r1_rlvect_1 E F)))))) (forall ((A $$unsorted) (B $$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) (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.v12_vectsp_1 B A) (tptp.l4_vectsp_1 B A)) (not (tptp.v1_xboole_0 (tptp.k3_vectsp_5 A B))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 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 $$unsorted)) (=> (tptp.m1_vectsp_4 C A B) (forall ((D $$unsorted)) (=> (tptp.m1_vectsp_4 D A B) (forall ((E $$unsorted)) (=> (and (tptp.v11_vectsp_1 E A) (tptp.m1_vectsp_4 E A B)) (= (= E (tptp.k2_vectsp_5 A B C D)) (= (tptp.u1_struct_0 E) (tptp.k3_xboole_0 (tptp.u1_struct_0 C) (tptp.u1_struct_0 D)))))))))))))) true true true true (forall ((A $$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 $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v12_vectsp_1 B A) (tptp.l4_vectsp_1 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_vectsp_4 C A B) (forall ((D $$unsorted)) (=> (tptp.m1_vectsp_4 D A B) (forall ((E $$unsorted)) (= (tptp.r1_rlvect_1 (tptp.k1_vectsp_5 A B C D) 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.r1_rlvect_1 C F) (tptp.r1_rlvect_1 D G) (= E (tptp.k4_rlvect_1 B F G)))))))))))))))) (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.v3_rlvect_1 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 $$unsorted)) (=> (tptp.m1_vectsp_4 C A B) (forall ((D $$unsorted)) (=> (tptp.m1_vectsp_4 D A B) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.u1_struct_0 B)) (=> (or (tptp.r1_rlvect_1 C E) (tptp.r1_rlvect_1 D E)) (tptp.r1_rlvect_1 (tptp.k1_vectsp_5 A B C D) E)))))))))))) (forall ((A $$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 $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v12_vectsp_1 B A) (tptp.l4_vectsp_1 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_vectsp_4 C A B) (forall ((D $$unsorted)) (=> (tptp.m1_vectsp_4 D A B) (forall ((E $$unsorted)) (= (tptp.r1_rlvect_1 (tptp.k2_vectsp_5 A B C D) E) (and (tptp.r1_rlvect_1 C E) (tptp.r1_rlvect_1 D E)))))))))))) (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.v3_rlvect_1 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 $$unsorted)) (=> (and (tptp.v11_vectsp_1 C A) (tptp.m1_vectsp_4 C A B)) (= (tptp.k1_vectsp_5 A B C C) C))))))) (forall ((A $$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.v4_group_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v12_vectsp_1 B A) (tptp.l4_vectsp_1 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_vectsp_4 C A B) (forall ((D $$unsorted)) (=> (tptp.m1_vectsp_4 D A B) (= (tptp.k1_vectsp_5 A B C D) (tptp.k1_vectsp_5 A B D C)))))))))) (forall ((A $$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.v4_group_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v12_vectsp_1 B A) (tptp.l4_vectsp_1 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_vectsp_4 C A B) (forall ((D $$unsorted)) (=> (tptp.m1_vectsp_4 D A B) (forall ((E $$unsorted)) (=> (tptp.m1_vectsp_4 E A B) (= (tptp.k1_vectsp_5 A B C (tptp.k1_vectsp_5 A B D E)) (tptp.k1_vectsp_5 A B (tptp.k1_vectsp_5 A B C D) E)))))))))))) (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.v3_rlvect_1 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 $$unsorted)) (=> (tptp.m1_vectsp_4 C A B) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k1_vectsp_5 A B C D))) (=> (tptp.m1_vectsp_4 D A B) (and (tptp.m1_vectsp_4 C A _let_1) (tptp.m1_vectsp_4 D A _let_1))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A)) (forall ((B $$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.v12_vectsp_1 B A) (tptp.l4_vectsp_1 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_vectsp_4 C A B) (forall ((D $$unsorted)) (=> (and (tptp.v11_vectsp_1 D A) (tptp.m1_vectsp_4 D A B)) (= (tptp.m1_vectsp_4 C A D) (= (tptp.k1_vectsp_5 A B C 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.v3_rlvect_1 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 $$unsorted)) (let ((_let_1 (tptp.k1_vectsp_4 A B))) (=> (and (tptp.v11_vectsp_1 C A) (tptp.m1_vectsp_4 C A B)) (and (= (tptp.k1_vectsp_5 A B _let_1 C) C) (= (tptp.k1_vectsp_5 A B C _let_1) C))))))))) (forall ((A $$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.v4_group_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.g4_vectsp_1 A (tptp.u1_struct_0 B) (tptp.u1_rlvect_1 B) (tptp.u2_struct_0 B) (tptp.u2_vectsp_1 A B)))) (let ((_let_2 (tptp.k1_vectsp_4 A B))) (let ((_let_3 (tptp.k2_vectsp_4 A B))) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v12_vectsp_1 B A) (tptp.l4_vectsp_1 B A)) (and (= (tptp.k1_vectsp_5 A B _let_2 _let_3) _let_1) (= (tptp.k1_vectsp_5 A B _let_3 _let_2) _let_1))))))))) (forall ((A $$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_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v12_vectsp_1 B A) (tptp.l4_vectsp_1 B A)) (forall ((C $$unsorted)) (let ((_let_1 (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)))) (let ((_let_2 (tptp.k2_vectsp_4 A B))) (=> (tptp.m1_vectsp_4 C A B) (and (= (tptp.k1_vectsp_5 A B _let_2 C) _let_1) (= (tptp.k1_vectsp_5 A B C _let_2) _let_1)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k2_vectsp_4 A B))) (=> (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.v11_vectsp_1 B A) (tptp.v12_vectsp_1 B A) (tptp.l4_vectsp_1 B A)) (= (tptp.k1_vectsp_5 A B _let_1 _let_1) B)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A)) (forall ((B $$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.v12_vectsp_1 B A) (tptp.l4_vectsp_1 B A)) (forall ((C $$unsorted)) (=> (and (tptp.v11_vectsp_1 C A) (tptp.m1_vectsp_4 C A B)) (= (tptp.k2_vectsp_5 A B C C) C))))))) true (forall ((A $$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.v4_group_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v12_vectsp_1 B A) (tptp.l4_vectsp_1 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_vectsp_4 C A B) (forall ((D $$unsorted)) (=> (tptp.m1_vectsp_4 D A B) (forall ((E $$unsorted)) (=> (tptp.m1_vectsp_4 E A B) (= (tptp.k2_vectsp_5 A B C (tptp.k2_vectsp_5 A B D E)) (tptp.k2_vectsp_5 A B (tptp.k2_vectsp_5 A B C D) E)))))))))))) (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.v3_rlvect_1 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 $$unsorted)) (=> (tptp.m1_vectsp_4 C A B) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k2_vectsp_5 A B C D))) (=> (tptp.m1_vectsp_4 D A B) (and (tptp.m1_vectsp_4 _let_1 A C) (tptp.m1_vectsp_4 _let_1 A 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.v3_rlvect_1 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 $$unsorted)) (=> (tptp.m1_vectsp_4 C A B) (and (forall ((D $$unsorted)) (=> (and (tptp.v11_vectsp_1 D A) (tptp.m1_vectsp_4 D A B)) (=> (tptp.m1_vectsp_4 D A C) (= (tptp.k2_vectsp_5 A B D C) D)))) (forall ((D $$unsorted)) (=> (tptp.m1_vectsp_4 D A B) (=> (= (tptp.k2_vectsp_5 A B D C) D) (tptp.m1_vectsp_4 D A C))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.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 $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v12_vectsp_1 B A) (tptp.l4_vectsp_1 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_vectsp_4 C A B) (forall ((D $$unsorted)) (=> (tptp.m1_vectsp_4 D A B) (forall ((E $$unsorted)) (=> (tptp.m1_vectsp_4 E A B) (=> (tptp.m1_vectsp_4 C A D) (tptp.m1_vectsp_4 (tptp.k2_vectsp_5 A B C E) A (tptp.k2_vectsp_5 A B D E))))))))))))) (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.v3_rlvect_1 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 $$unsorted)) (=> (tptp.m1_vectsp_4 C A B) (forall ((D $$unsorted)) (=> (tptp.m1_vectsp_4 D A B) (forall ((E $$unsorted)) (=> (tptp.m1_vectsp_4 E A B) (=> (tptp.m1_vectsp_4 C A D) (tptp.m1_vectsp_4 (tptp.k2_vectsp_5 A B C E) A D)))))))))))) (forall ((A $$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 $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v12_vectsp_1 B A) (tptp.l4_vectsp_1 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_vectsp_4 C A B) (forall ((D $$unsorted)) (=> (tptp.m1_vectsp_4 D A B) (forall ((E $$unsorted)) (=> (tptp.m1_vectsp_4 E A B) (=> (and (tptp.m1_vectsp_4 C A D) (tptp.m1_vectsp_4 C A E)) (tptp.m1_vectsp_4 C A (tptp.k2_vectsp_5 A B D E))))))))))))) (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.v3_rlvect_1 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 $$unsorted)) (let ((_let_1 (tptp.k1_vectsp_4 A B))) (=> (tptp.m1_vectsp_4 C A B) (and (= (tptp.k2_vectsp_5 A B _let_1 C) _let_1) (= (tptp.k2_vectsp_5 A B C _let_1) _let_1))))))))) true (forall ((A $$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 $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v12_vectsp_1 B A) (tptp.l4_vectsp_1 B A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k2_vectsp_4 A B))) (=> (and (tptp.v11_vectsp_1 C A) (tptp.m1_vectsp_4 C A B)) (and (= (tptp.k2_vectsp_5 A B _let_1 C) C) (= (tptp.k2_vectsp_5 A B C _let_1) C))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k2_vectsp_4 A B))) (=> (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.v11_vectsp_1 B A) (tptp.v12_vectsp_1 B A) (tptp.l4_vectsp_1 B A)) (= (tptp.k2_vectsp_5 A B _let_1 _let_1) B)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A)) (forall ((B $$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.v12_vectsp_1 B A) (tptp.l4_vectsp_1 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_vectsp_4 C A B) (forall ((D $$unsorted)) (=> (tptp.m1_vectsp_4 D A B) (tptp.m1_vectsp_4 (tptp.k2_vectsp_5 A B C D) A (tptp.k1_vectsp_5 A B C D)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 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 $$unsorted)) (=> (tptp.m1_vectsp_4 C A B) (forall ((D $$unsorted)) (=> (and (tptp.v11_vectsp_1 D A) (tptp.m1_vectsp_4 D A B)) (= (tptp.k1_vectsp_5 A B (tptp.k2_vectsp_5 A B C D) 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.v3_rlvect_1 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 $$unsorted)) (=> (tptp.m1_vectsp_4 C A B) (forall ((D $$unsorted)) (=> (and (tptp.v11_vectsp_1 D A) (tptp.m1_vectsp_4 D A B)) (= (tptp.k2_vectsp_5 A B D (tptp.k1_vectsp_5 A B D C)) D))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 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 $$unsorted)) (=> (tptp.m1_vectsp_4 C A B) (forall ((D $$unsorted)) (=> (tptp.m1_vectsp_4 D A B) (forall ((E $$unsorted)) (=> (tptp.m1_vectsp_4 E A B) (tptp.m1_vectsp_4 (tptp.k1_vectsp_5 A B (tptp.k2_vectsp_5 A B C D) (tptp.k2_vectsp_5 A B D E)) A (tptp.k2_vectsp_5 A B D (tptp.k1_vectsp_5 A B C E))))))))))))) (forall ((A $$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 $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v12_vectsp_1 B A) (tptp.l4_vectsp_1 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_vectsp_4 C A B) (forall ((D $$unsorted)) (=> (tptp.m1_vectsp_4 D A B) (forall ((E $$unsorted)) (=> (tptp.m1_vectsp_4 E A B) (=> (tptp.m1_vectsp_4 C A D) (= (tptp.k2_vectsp_5 A B D (tptp.k1_vectsp_5 A B C E)) (tptp.k1_vectsp_5 A B (tptp.k2_vectsp_5 A B C D) (tptp.k2_vectsp_5 A B D E)))))))))))))) (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.v3_rlvect_1 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 $$unsorted)) (=> (tptp.m1_vectsp_4 C A B) (forall ((D $$unsorted)) (=> (tptp.m1_vectsp_4 D A B) (forall ((E $$unsorted)) (=> (tptp.m1_vectsp_4 E A B) (tptp.m1_vectsp_4 (tptp.k1_vectsp_5 A B C (tptp.k2_vectsp_5 A B D E)) A (tptp.k2_vectsp_5 A B (tptp.k1_vectsp_5 A B D C) (tptp.k1_vectsp_5 A B C E))))))))))))) (forall ((A $$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 $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v12_vectsp_1 B A) (tptp.l4_vectsp_1 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_vectsp_4 C A B) (forall ((D $$unsorted)) (=> (tptp.m1_vectsp_4 D A B) (forall ((E $$unsorted)) (=> (tptp.m1_vectsp_4 E A B) (=> (tptp.m1_vectsp_4 C A D) (= (tptp.k1_vectsp_5 A B D (tptp.k2_vectsp_5 A B C E)) (tptp.k2_vectsp_5 A B (tptp.k1_vectsp_5 A B C D) (tptp.k1_vectsp_5 A B D E)))))))))))))) (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.v3_rlvect_1 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 $$unsorted)) (=> (tptp.m1_vectsp_4 C A B) (forall ((D $$unsorted)) (=> (tptp.m1_vectsp_4 D A B) (forall ((E $$unsorted)) (=> (and (tptp.v11_vectsp_1 E A) (tptp.m1_vectsp_4 E A B)) (=> (tptp.m1_vectsp_4 E A C) (= (tptp.k1_vectsp_5 A B E (tptp.k2_vectsp_5 A B D C)) (tptp.k2_vectsp_5 A B (tptp.k1_vectsp_5 A B E D) C))))))))))))) (forall ((A $$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.v4_group_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v12_vectsp_1 B A) (tptp.l4_vectsp_1 B A)) (forall ((C $$unsorted)) (=> (and (tptp.v11_vectsp_1 C A) (tptp.m1_vectsp_4 C A B)) (forall ((D $$unsorted)) (=> (and (tptp.v11_vectsp_1 D A) (tptp.m1_vectsp_4 D A B)) (= (= (tptp.k1_vectsp_5 A B C D) D) (= (tptp.k2_vectsp_5 A B C D) C)))))))))) (forall ((A $$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.v4_group_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v12_vectsp_1 B A) (tptp.l4_vectsp_1 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_vectsp_4 C A B) (forall ((D $$unsorted)) (=> (and (tptp.v11_vectsp_1 D A) (tptp.m1_vectsp_4 D A B)) (forall ((E $$unsorted)) (=> (and (tptp.v11_vectsp_1 E A) (tptp.m1_vectsp_4 E A B)) (=> (tptp.m1_vectsp_4 C A D) (tptp.m1_vectsp_4 (tptp.k1_vectsp_5 A B C E) A (tptp.k1_vectsp_5 A B D E))))))))))))) (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.v3_rlvect_1 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 $$unsorted)) (=> (tptp.m1_vectsp_4 C A B) (forall ((D $$unsorted)) (=> (tptp.m1_vectsp_4 D A B) (forall ((E $$unsorted)) (=> (tptp.m1_vectsp_4 E A B) (=> (tptp.m1_vectsp_4 C A D) (tptp.m1_vectsp_4 C A (tptp.k1_vectsp_5 A B D E))))))))))))) (forall ((A $$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 $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v12_vectsp_1 B A) (tptp.l4_vectsp_1 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_vectsp_4 C A B) (forall ((D $$unsorted)) (=> (tptp.m1_vectsp_4 D A B) (forall ((E $$unsorted)) (=> (tptp.m1_vectsp_4 E A B) (=> (and (tptp.m1_vectsp_4 C A D) (tptp.m1_vectsp_4 E A D)) (tptp.m1_vectsp_4 (tptp.k1_vectsp_5 A B C E) A 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.v3_rlvect_1 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 $$unsorted)) (=> (tptp.m1_vectsp_4 C A B) (forall ((D $$unsorted)) (let ((_let_1 (tptp.m1_vectsp_4 D A C))) (let ((_let_2 (tptp.m1_vectsp_4 C A D))) (=> (tptp.m1_vectsp_4 D A B) (and (not (and (exists ((E $$unsorted)) (and (tptp.m1_vectsp_4 E A B) (= (tptp.u1_struct_0 E) (tptp.k2_xboole_0 (tptp.u1_struct_0 C) (tptp.u1_struct_0 D))))) (not _let_2) (not _let_1))) (not (and (or _let_2 _let_1) (forall ((E $$unsorted)) (=> (tptp.m1_vectsp_4 E A B) (not (= (tptp.u1_struct_0 E) (tptp.k2_xboole_0 (tptp.u1_struct_0 C) (tptp.u1_struct_0 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.v3_rlvect_1 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 $$unsorted)) (= (= C (tptp.k3_vectsp_5 A B)) (forall ((D $$unsorted)) (= (tptp.r2_hidden D C) (exists ((E $$unsorted)) (and (tptp.v11_vectsp_1 E A) (tptp.m1_vectsp_4 E A B) (= E D))))))))))) true true (forall ((A $$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 $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v11_vectsp_1 B A) (tptp.v12_vectsp_1 B A) (tptp.l4_vectsp_1 B A)) (tptp.r2_hidden B (tptp.k3_vectsp_5 A B)))))) (forall ((A $$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.v4_group_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v12_vectsp_1 B A) (tptp.l4_vectsp_1 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_vectsp_4 C A B) (forall ((D $$unsorted)) (=> (tptp.m1_vectsp_4 D A B) (= (tptp.r1_vectsp_5 A B C D) (and (= (tptp.g4_vectsp_1 A (tptp.u1_struct_0 B) (tptp.u1_rlvect_1 B) (tptp.u2_struct_0 B) (tptp.u2_vectsp_1 A B)) (tptp.k1_vectsp_5 A B C D)) (= (tptp.k2_vectsp_5 A B C D) (tptp.k1_vectsp_4 A B)))))))))))) (forall ((A $$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.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 $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v12_vectsp_1 B A) (tptp.l4_vectsp_1 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_vectsp_4 C A B) (forall ((D $$unsorted)) (=> (tptp.m1_vectsp_4 D A B) (= (tptp.m1_vectsp_5 D A B C) (tptp.r1_vectsp_5 A B D C)))))))))) true true (forall ((A $$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_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 $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v12_vectsp_1 B A) (tptp.l4_vectsp_1 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_vectsp_4 C A B) (forall ((D $$unsorted)) (=> (tptp.m1_vectsp_4 D A B) (=> (tptp.r1_vectsp_5 A B C D) (tptp.m1_vectsp_5 D A B C)))))))))) (forall ((A $$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.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 $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v12_vectsp_1 B A) (tptp.l4_vectsp_1 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_vectsp_4 C A B) (forall ((D $$unsorted)) (=> (tptp.m1_vectsp_5 D A B C) (and (tptp.r1_vectsp_5 A B D C) (tptp.r1_vectsp_5 A B C D)))))))))) (forall ((A $$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.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 $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v12_vectsp_1 B A) (tptp.l4_vectsp_1 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_vectsp_4 C A B) (forall ((D $$unsorted)) (let ((_let_1 (tptp.g4_vectsp_1 A (tptp.u1_struct_0 B) (tptp.u1_rlvect_1 B) (tptp.u2_struct_0 B) (tptp.u2_vectsp_1 A B)))) (=> (tptp.m1_vectsp_5 D A B C) (and (= (tptp.k1_vectsp_5 A B C D) _let_1) (= (tptp.k1_vectsp_5 A B D C) _let_1))))))))))) (forall ((A $$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.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 $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v12_vectsp_1 B A) (tptp.l4_vectsp_1 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_vectsp_4 C A B) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k1_vectsp_4 A B))) (=> (tptp.m1_vectsp_5 D A B C) (and (= (tptp.k2_vectsp_5 A B C D) _let_1) (= (tptp.k2_vectsp_5 A B D C) _let_1))))))))))) (forall ((A $$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.v4_group_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v12_vectsp_1 B A) (tptp.l4_vectsp_1 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_vectsp_4 C A B) (forall ((D $$unsorted)) (=> (tptp.m1_vectsp_4 D A B) (=> (tptp.r1_vectsp_5 A B C D) (tptp.r1_vectsp_5 A B D C)))))))))) (forall ((A $$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.v4_group_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k1_vectsp_4 A B))) (let ((_let_2 (tptp.k2_vectsp_4 A B))) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v12_vectsp_1 B A) (tptp.l4_vectsp_1 B A)) (and (tptp.r1_vectsp_5 A B _let_1 _let_2) (tptp.r1_vectsp_5 A B _let_2 _let_1)))))))) (forall ((A $$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 $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v12_vectsp_1 B A) (tptp.l4_vectsp_1 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_vectsp_4 C A B) (forall ((D $$unsorted)) (=> (tptp.m1_vectsp_5 D A B C) (tptp.m1_vectsp_5 C A B D))))))))) (forall ((A $$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_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 $$unsorted)) (let ((_let_1 (tptp.k1_vectsp_4 A B))) (let ((_let_2 (tptp.k2_vectsp_4 A B))) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v12_vectsp_1 B A) (tptp.l4_vectsp_1 B A)) (and (tptp.m1_vectsp_5 _let_1 A B _let_2) (tptp.m1_vectsp_5 _let_2 A B _let_1)))))))) (forall ((A $$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_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v12_vectsp_1 B A) (tptp.l4_vectsp_1 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_vectsp_4 C A B) (forall ((D $$unsorted)) (=> (tptp.m1_vectsp_4 D A B) (forall ((E $$unsorted)) (=> (tptp.m2_vectsp_4 E A B C) (forall ((F $$unsorted)) (=> (tptp.m2_vectsp_4 F A B D) (=> (not (tptp.r1_xboole_0 E F)) (tptp.m2_vectsp_4 (tptp.k5_subset_1 (tptp.u1_struct_0 B) E F) A B (tptp.k2_vectsp_5 A B C D))))))))))))))) (forall ((A $$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.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v12_vectsp_1 B A) (tptp.l4_vectsp_1 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_vectsp_4 C A B) (forall ((D $$unsorted)) (=> (tptp.m1_vectsp_4 D A B) (= (tptp.r1_vectsp_5 A B C D) (forall ((E $$unsorted)) (=> (tptp.m2_vectsp_4 E A B C) (forall ((F $$unsorted)) (=> (tptp.m2_vectsp_4 F A B D) (exists ((G $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (and (tptp.m1_subset_1 G _let_1) (= (tptp.k5_subset_1 _let_1 E F) (tptp.k6_domain_1 _let_1 G)))))))))))))))))) (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.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) (tptp.l4_vectsp_1 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_vectsp_4 C A B) (forall ((D $$unsorted)) (=> (tptp.m1_vectsp_4 D A B) (= (= (tptp.k1_vectsp_5 A B C D) B) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.u1_struct_0 B)) (exists ((F $$unsorted)) (and (tptp.m1_subset_1 F (tptp.u1_struct_0 B)) (exists ((G $$unsorted)) (and (tptp.m1_subset_1 G (tptp.u1_struct_0 B)) (tptp.r1_rlvect_1 C F) (tptp.r1_rlvect_1 D G) (= E (tptp.k4_rlvect_1 B F G))))))))))))))))) (forall ((A $$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 $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v12_vectsp_1 B A) (tptp.l4_vectsp_1 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_vectsp_4 C A B) (forall ((D $$unsorted)) (=> (tptp.m1_vectsp_4 D A B) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.u1_struct_0 B)) (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F (tptp.u1_struct_0 B)) (forall ((G $$unsorted)) (=> (tptp.m1_subset_1 G (tptp.u1_struct_0 B)) (forall ((H $$unsorted)) (=> (tptp.m1_subset_1 H (tptp.u1_struct_0 B)) (forall ((I $$unsorted)) (=> (tptp.m1_subset_1 I (tptp.u1_struct_0 B)) (=> (and (tptp.r1_vectsp_5 A B C D) (= E (tptp.k4_rlvect_1 B F G)) (= E (tptp.k4_rlvect_1 B H I)) (tptp.r1_rlvect_1 C F) (tptp.r1_rlvect_1 C H) (tptp.r1_rlvect_1 D G) (tptp.r1_rlvect_1 D I)) (and (= F H) (= G I))))))))))))))))))))) (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.v3_rlvect_1 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 $$unsorted)) (=> (tptp.m1_vectsp_4 C A B) (forall ((D $$unsorted)) (=> (tptp.m1_vectsp_4 D A B) (=> (= B (tptp.k1_vectsp_5 A B C D)) (or (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.u1_struct_0 B)) (exists ((F $$unsorted)) (and (tptp.m1_subset_1 F (tptp.u1_struct_0 B)) (exists ((G $$unsorted)) (and (tptp.m1_subset_1 G (tptp.u1_struct_0 B)) (exists ((H $$unsorted)) (and (tptp.m1_subset_1 H (tptp.u1_struct_0 B)) (exists ((I $$unsorted)) (and (tptp.m1_subset_1 I (tptp.u1_struct_0 B)) (= E (tptp.k4_rlvect_1 B F G)) (= E (tptp.k4_rlvect_1 B H I)) (tptp.r1_rlvect_1 C F) (tptp.r1_rlvect_1 C H) (tptp.r1_rlvect_1 D G) (tptp.r1_rlvect_1 D I) (not (and (= F H) (= G I))))))))))))) (tptp.r1_vectsp_5 A B C D))))))))))) (forall ((A $$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.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v12_vectsp_1 B A) (tptp.l4_vectsp_1 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 B)) (forall ((D $$unsorted)) (=> (tptp.m1_vectsp_4 D A B) (forall ((E $$unsorted)) (=> (tptp.m1_vectsp_4 E A B) (=> (tptp.r1_vectsp_5 A B D E) (forall ((F $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.k3_domain_1 _let_1 _let_1 F))) (let ((_let_3 (tptp.k2_domain_1 _let_1 _let_1 F))) (=> (tptp.m1_subset_1 F (tptp.k2_zfmisc_1 _let_1 _let_1)) (= (= F (tptp.k4_vectsp_5 A B C D E)) (and (= C (tptp.k4_rlvect_1 B _let_3 _let_2)) (tptp.r1_rlvect_1 D _let_3) (tptp.r1_rlvect_1 E _let_2))))))))))))))))))) true true true true (forall ((A $$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 $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v12_vectsp_1 B A) (tptp.l4_vectsp_1 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_vectsp_4 C A B) (forall ((D $$unsorted)) (=> (tptp.m1_vectsp_4 D A B) (forall ((E $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (=> (tptp.m1_subset_1 E _let_1) (=> (tptp.r1_vectsp_5 A B C D) (= (tptp.k2_domain_1 _let_1 _let_1 (tptp.k4_vectsp_5 A B E C D)) (tptp.k3_domain_1 _let_1 _let_1 (tptp.k4_vectsp_5 A B E D C))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 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 $$unsorted)) (=> (tptp.m1_vectsp_4 C A B) (forall ((D $$unsorted)) (=> (tptp.m1_vectsp_4 D A B) (forall ((E $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (=> (tptp.m1_subset_1 E _let_1) (=> (tptp.r1_vectsp_5 A B C D) (= (tptp.k3_domain_1 _let_1 _let_1 (tptp.k4_vectsp_5 A B E C D)) (tptp.k2_domain_1 _let_1 _let_1 (tptp.k4_vectsp_5 A B E D C))))))))))))))) (forall ((A $$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.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 $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v12_vectsp_1 B A) (tptp.l4_vectsp_1 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_vectsp_4 C A B) (forall ((D $$unsorted)) (=> (tptp.m1_vectsp_5 D A B C) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.u1_struct_0 B)) (forall ((F $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.k3_domain_1 _let_1 _let_1 F))) (let ((_let_3 (tptp.k2_domain_1 _let_1 _let_1 F))) (=> (tptp.m1_subset_1 F (tptp.k2_zfmisc_1 _let_1 _let_1)) (=> (and (= (tptp.k4_rlvect_1 B _let_3 _let_2) E) (tptp.r1_rlvect_1 C _let_3) (tptp.r1_rlvect_1 D _let_2)) (= F (tptp.k4_vectsp_5 A B E C D)))))))))))))))))) (forall ((A $$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.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 $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v12_vectsp_1 B A) (tptp.l4_vectsp_1 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_vectsp_4 C A B) (forall ((D $$unsorted)) (=> (tptp.m1_vectsp_5 D A B C) (forall ((E $$unsorted)) (let ((_let_1 (tptp.k4_vectsp_5 A B E C D))) (let ((_let_2 (tptp.u1_struct_0 B))) (=> (tptp.m1_subset_1 E _let_2) (= (tptp.k4_rlvect_1 B (tptp.k2_domain_1 _let_2 _let_2 _let_1) (tptp.k3_domain_1 _let_2 _let_2 _let_1)) E))))))))))))) (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)) (=> (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.v12_vectsp_1 B A) (tptp.l4_vectsp_1 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_vectsp_4 C A B) (forall ((D $$unsorted)) (=> (tptp.m1_vectsp_5 D A B C) (forall ((E $$unsorted)) (let ((_let_1 (tptp.k4_vectsp_5 A B E C D))) (let ((_let_2 (tptp.u1_struct_0 B))) (=> (tptp.m1_subset_1 E _let_2) (and (tptp.r1_rlvect_1 C (tptp.k2_domain_1 _let_2 _let_2 _let_1)) (tptp.r1_rlvect_1 D (tptp.k3_domain_1 _let_2 _let_2 _let_1))))))))))))))) (forall ((A $$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 $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v12_vectsp_1 B A) (tptp.l4_vectsp_1 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_vectsp_4 C A B) (forall ((D $$unsorted)) (=> (tptp.m1_vectsp_5 D A B C) (forall ((E $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (=> (tptp.m1_subset_1 E _let_1) (= (tptp.k2_domain_1 _let_1 _let_1 (tptp.k4_vectsp_5 A B E C D)) (tptp.k3_domain_1 _let_1 _let_1 (tptp.k4_vectsp_5 A B E D C)))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v7_group_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.v9_vectsp_1 A) (not (tptp.v10_vectsp_1 A)) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (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.v12_vectsp_1 B A) (tptp.l4_vectsp_1 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_vectsp_4 C A B) (forall ((D $$unsorted)) (=> (tptp.m1_vectsp_5 D A B C) (forall ((E $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (=> (tptp.m1_subset_1 E _let_1) (= (tptp.k3_domain_1 _let_1 _let_1 (tptp.k4_vectsp_5 A B E C D)) (tptp.k2_domain_1 _let_1 _let_1 (tptp.k4_vectsp_5 A B E D C)))))))))))))) (forall ((A $$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.v4_group_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v12_vectsp_1 B A) (tptp.l4_vectsp_1 B A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k3_vectsp_5 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_vectsp_5 A B)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k3_vectsp_5 A B)) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.k3_vectsp_5 A B)) (forall ((F $$unsorted)) (=> (tptp.m1_vectsp_4 F A B) (forall ((G $$unsorted)) (let ((_let_1 (tptp.k3_vectsp_5 A B))) (=> (tptp.m1_vectsp_4 G A B) (=> (and (= D F) (= E G)) (= (tptp.k2_binop_1 _let_1 _let_1 _let_1 C D E) (tptp.k1_vectsp_5 A B F G))))))))))))))))))))) (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.v3_rlvect_1 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 $$unsorted)) (let ((_let_1 (tptp.k3_vectsp_5 A B))) (let ((_let_2 (tptp.k2_zfmisc_1 _let_1 _let_1))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.m2_relset_1 C _let_2 _let_1)) (= (= C (tptp.k6_vectsp_5 A B)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k3_vectsp_5 A B)) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.k3_vectsp_5 A B)) (forall ((F $$unsorted)) (=> (tptp.m1_vectsp_4 F A B) (forall ((G $$unsorted)) (let ((_let_1 (tptp.k3_vectsp_5 A B))) (=> (tptp.m1_vectsp_4 G A B) (=> (and (= D F) (= E G)) (= (tptp.k2_binop_1 _let_1 _let_1 _let_1 C D E) (tptp.k2_vectsp_5 A B F G))))))))))))))))))))) true true true true (forall ((A $$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 $$unsorted)) (let ((_let_1 (tptp.g3_lattices (tptp.k3_vectsp_5 A B) (tptp.k5_vectsp_5 A B) (tptp.k6_vectsp_5 A B)))) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v12_vectsp_1 B A) (tptp.l4_vectsp_1 B A)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v10_lattices _let_1) (tptp.l3_lattices _let_1))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.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 $$unsorted)) (let ((_let_1 (tptp.g3_lattices (tptp.k3_vectsp_5 A B) (tptp.k5_vectsp_5 A B) (tptp.k6_vectsp_5 A B)))) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v12_vectsp_1 B A) (tptp.l4_vectsp_1 B A)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v10_lattices _let_1) (tptp.v13_lattices _let_1) (tptp.l3_lattices _let_1))))))) (forall ((A $$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_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.g3_lattices (tptp.k3_vectsp_5 A B) (tptp.k5_vectsp_5 A B) (tptp.k6_vectsp_5 A B)))) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v12_vectsp_1 B A) (tptp.l4_vectsp_1 B A)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v10_lattices _let_1) (tptp.v14_lattices _let_1) (tptp.l3_lattices _let_1))))))) (forall ((A $$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 $$unsorted)) (let ((_let_1 (tptp.g3_lattices (tptp.k3_vectsp_5 A B) (tptp.k5_vectsp_5 A B) (tptp.k6_vectsp_5 A B)))) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v12_vectsp_1 B A) (tptp.l4_vectsp_1 B A)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v10_lattices _let_1) (tptp.v15_lattices _let_1) (tptp.l3_lattices _let_1))))))) (forall ((A $$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_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.g3_lattices (tptp.k3_vectsp_5 A B) (tptp.k5_vectsp_5 A B) (tptp.k6_vectsp_5 A B)))) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v12_vectsp_1 B A) (tptp.l4_vectsp_1 B A)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v10_lattices _let_1) (tptp.v12_lattices _let_1) (tptp.l3_lattices _let_1))))))) (forall ((A $$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 $$unsorted)) (let ((_let_1 (tptp.g3_lattices (tptp.k3_vectsp_5 A B) (tptp.k5_vectsp_5 A B) (tptp.k6_vectsp_5 A B)))) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v12_vectsp_1 B A) (tptp.l4_vectsp_1 B A)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v10_lattices _let_1) (tptp.v15_lattices _let_1) (tptp.v16_lattices _let_1) (tptp.l3_lattices _let_1))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$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) (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.v12_vectsp_1 B A) (tptp.l4_vectsp_1 B A) (tptp.m1_vectsp_4 C A B)) (forall ((D $$unsorted)) (=> (tptp.m1_vectsp_5 D A B C) (tptp.m1_vectsp_4 D A B))))) (forall ((A $$unsorted) (B $$unsorted) (C $$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) (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.v12_vectsp_1 B A) (tptp.l4_vectsp_1 B A) (tptp.m1_vectsp_4 C A B)) (exists ((D $$unsorted)) (tptp.m1_vectsp_5 D A B C)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k1_vectsp_5 A B C D))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A) (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v12_vectsp_1 B A) (tptp.l4_vectsp_1 B A) (tptp.m1_vectsp_4 C A B) (tptp.m1_vectsp_4 D A B)) (and (tptp.v11_vectsp_1 _let_1 A) (tptp.m1_vectsp_4 _let_1 A B))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k2_vectsp_5 A B C D))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A) (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v12_vectsp_1 B A) (tptp.l4_vectsp_1 B A) (tptp.m1_vectsp_4 C A B) (tptp.m1_vectsp_4 D A B)) (and (tptp.v11_vectsp_1 _let_1 A) (tptp.m1_vectsp_4 _let_1 A B))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A) (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v12_vectsp_1 B A) (tptp.l4_vectsp_1 B A) (tptp.m1_vectsp_4 C A B) (tptp.m1_vectsp_4 D A B)) (= (tptp.k2_vectsp_5 A B C D) (tptp.k2_vectsp_5 A B D C)))) true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (=> (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) (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.v12_vectsp_1 B A) (tptp.l4_vectsp_1 B A) (tptp.m1_subset_1 C _let_1) (tptp.m1_vectsp_4 D A B) (tptp.m1_vectsp_4 E A B)) (tptp.m1_subset_1 (tptp.k4_vectsp_5 A B C D E) (tptp.k2_zfmisc_1 _let_1 _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k3_vectsp_5 A B))) (let ((_let_2 (tptp.k2_zfmisc_1 _let_1 _let_1))) (let ((_let_3 (tptp.k5_vectsp_5 A B))) (=> (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) (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.v12_vectsp_1 B 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)) (let ((_let_1 (tptp.k3_vectsp_5 A B))) (let ((_let_2 (tptp.k2_zfmisc_1 _let_1 _let_1))) (let ((_let_3 (tptp.k6_vectsp_5 A B))) (=> (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) (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.v12_vectsp_1 B 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 $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 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 $$unsorted)) (=> (tptp.m1_vectsp_4 C A B) (forall ((D $$unsorted)) (=> (tptp.m1_vectsp_4 D A B) (forall ((E $$unsorted)) (=> (and (tptp.v11_vectsp_1 E A) (tptp.m1_vectsp_4 E A B)) (= (= E (tptp.k1_vectsp_5 A B C D)) (= (tptp.u1_struct_0 E) (tptp.a_4_0_vectsp_5 A B C D))))))))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$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.v4_group_1 B) (tptp.v7_vectsp_1 B) (tptp.v8_vectsp_1 B) (tptp.l3_vectsp_1 B) (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.v12_vectsp_1 C B) (tptp.l4_vectsp_1 C B) (tptp.m1_vectsp_4 D B C) (tptp.m1_vectsp_4 E B C)) (= (tptp.r2_hidden A (tptp.a_4_0_vectsp_5 B C D E)) (exists ((F $$unsorted) (G $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 C))) (and (tptp.m1_subset_1 F _let_1) (tptp.m1_subset_1 G _let_1) (= A (tptp.k4_rlvect_1 C F G)) (tptp.r1_rlvect_1 D F) (tptp.r1_rlvect_1 E G))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (not (tptp.v1_xboole_0 (tptp.k1_group_3 A))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (exists ((B $$unsorted)) (and (tptp.m1_group_2 B A) (not (tptp.v3_struct_0 B)) (tptp.v1_group_1 B) (tptp.v2_group_1 B) (tptp.v3_group_1 B) (tptp.v4_group_1 B) (tptp.v1_group_3 B A))))) (forall ((A $$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 $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k3_group_1 A C))) (let ((_let_2 (tptp.k1_group_1 A _let_1 C))) (let ((_let_3 (tptp.k1_group_1 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) B) (= (tptp.k1_group_1 A (tptp.k1_group_1 A B _let_1) C) B) (= (tptp.k1_group_1 A _let_2 B) B) (= (tptp.k1_group_1 A _let_3 B) B) (= (tptp.k1_group_1 A B _let_3) B) (= (tptp.k1_group_1 A B _let_2) B) (= (tptp.k1_group_1 A _let_1 (tptp.k1_group_1 A C B)) B) (= (tptp.k1_group_1 A C (tptp.k1_group_1 A _let_1 B)) B))))))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.l1_group_1 A))) (let ((_let_2 (tptp.v4_group_1 A))) (let ((_let_3 (tptp.v3_group_1 A))) (let ((_let_4 (not (tptp.v3_struct_0 A)))) (=> (and _let_4 _let_3 _let_2 _let_1) (= (and _let_4 _let_3 _let_2 (tptp.v7_group_1 A) _let_1) (tptp.v1_binop_1 (tptp.u1_group_1 A) (tptp.u1_struct_0 A))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (tptp.v7_group_1 (tptp.k5_group_2 A)))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$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.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (and (tptp.r1_tarski B C) (tptp.r1_tarski D E)) (tptp.r1_tarski (tptp.k2_group_2 A B D) (tptp.k2_group_2 A C E))))))))))))) (forall ((A $$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 $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (tptp.r1_tarski C D) (and (tptp.r1_tarski (tptp.k3_group_2 A B C) (tptp.k3_group_2 A B D)) (tptp.r1_tarski (tptp.k4_group_2 A B C) (tptp.k4_group_2 A B D)))))))))))) (forall ((A $$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)) (=> (tptp.m1_group_2 C A) (forall ((D $$unsorted)) (=> (tptp.m1_group_2 D A) (=> (tptp.m1_group_2 C D) (and (tptp.r1_tarski (tptp.k12_group_2 A C B) (tptp.k12_group_2 A D B)) (tptp.r1_tarski (tptp.k13_group_2 A C B) (tptp.k13_group_2 A D B)))))))))))) (forall ((A $$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_group_2 C A) (= (tptp.k12_group_2 A C B) (tptp.k10_group_2 A C (tptp.k6_domain_1 (tptp.u1_struct_0 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 $$unsorted)) (=> (tptp.m1_group_2 C A) (= (tptp.k13_group_2 A C B) (tptp.k11_group_2 A C (tptp.k6_domain_1 (tptp.u1_struct_0 A) B))))))))) (forall ((A $$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.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((D $$unsorted)) (=> (tptp.m1_group_2 D A) (= (tptp.k10_group_2 A D (tptp.k3_group_2 A B C)) (tptp.k3_group_2 A B (tptp.k10_group_2 A D C))))))))))) (forall ((A $$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 $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((D $$unsorted)) (=> (tptp.m1_group_2 D A) (= (tptp.k10_group_2 A D (tptp.k4_group_2 A B C)) (tptp.k2_group_2 A C (tptp.k12_group_2 A D B))))))))))) (forall ((A $$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.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((D $$unsorted)) (=> (tptp.m1_group_2 D A) (= (tptp.k2_group_2 A (tptp.k12_group_2 A D B) C) (tptp.k3_group_2 A B (tptp.k11_group_2 A D C))))))))))) (forall ((A $$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 $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((D $$unsorted)) (=> (tptp.m1_group_2 D A) (= (tptp.k4_group_2 A B (tptp.k10_group_2 A D C)) (tptp.k2_group_2 A C (tptp.k13_group_2 A D B))))))))))) (forall ((A $$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.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((D $$unsorted)) (=> (tptp.m1_group_2 D A) (= (tptp.k2_group_2 A (tptp.k13_group_2 A D B) C) (tptp.k11_group_2 A D (tptp.k3_group_2 A B C))))))))))) (forall ((A $$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 $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((D $$unsorted)) (=> (tptp.m1_group_2 D A) (= (tptp.k4_group_2 A B (tptp.k11_group_2 A D C)) (tptp.k11_group_2 A D (tptp.k4_group_2 A B C))))))))))) (forall ((A $$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 $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_group_2 C A) (forall ((D $$unsorted)) (=> (tptp.m1_group_2 D A) (= (tptp.k10_group_2 A D (tptp.k13_group_2 A C B)) (tptp.k11_group_2 A C (tptp.k12_group_2 A D B))))))))))) (forall ((A $$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 $$unsorted)) (= (= B (tptp.k1_group_3 A)) (forall ((C $$unsorted)) (= (tptp.r2_hidden C B) (and (tptp.v1_group_1 C) (tptp.m1_group_2 C A)))))))) true true (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v1_group_1 A) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (tptp.r2_hidden A (tptp.k1_group_3 A)))) (forall ((A $$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) (tptp.v1_finset_1 (tptp.k1_group_3 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 $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (tptp.k2_group_3 A B C) (tptp.k1_group_1 A (tptp.k1_group_1 A (tptp.k3_group_1 A C) B) C)))))))) (forall ((A $$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 $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k3_group_1 A C))) (let ((_let_2 (tptp.k2_group_3 A B C))) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (and (= _let_2 (tptp.k1_group_1 A (tptp.k1_group_1 A _let_1 B) C)) (= _let_2 (tptp.k1_group_1 A _let_1 (tptp.k1_group_1 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)) (=> (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_group_3 A B C) (tptp.k2_group_3 A D C)) (= 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)) (let ((_let_1 (tptp.k2_group_1 A))) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (= (tptp.k2_group_3 A _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)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k2_group_1 A))) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (=> (= (tptp.k2_group_3 A B C) _let_1) (= B _let_1))))))))) (forall ((A $$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 $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (= (tptp.k2_group_3 A B (tptp.k2_group_1 A)) B))))) (forall ((A $$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 $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (= (tptp.k2_group_3 A B B) B))))) (forall ((A $$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 $$unsorted)) (let ((_let_1 (tptp.k3_group_1 A B))) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (and (= (tptp.k2_group_3 A B _let_1) B) (= (tptp.k2_group_3 A _let_1 B) _let_1))))))) (forall ((A $$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 $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (= (tptp.k2_group_3 A B C) B) (= (tptp.k1_group_1 A B C) (tptp.k1_group_1 A 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)) (=> (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_group_3 A (tptp.k1_group_1 A B C) D) (tptp.k1_group_1 A (tptp.k2_group_3 A B D) (tptp.k2_group_3 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 $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (= (tptp.k2_group_3 A (tptp.k2_group_3 A B C) D) (tptp.k2_group_3 A B (tptp.k1_group_1 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 $$unsorted)) (let ((_let_1 (tptp.k3_group_1 A C))) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (and (= (tptp.k2_group_3 A (tptp.k2_group_3 A B C) _let_1) B) (= (tptp.k2_group_3 A (tptp.k2_group_3 A B _let_1) C) B))))))))) true (forall ((A $$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)) (= (tptp.k2_group_3 A (tptp.k3_group_1 A B) C) (tptp.k3_group_1 A (tptp.k2_group_3 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)) (=> (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.m2_subset_1 D tptp.k1_numbers tptp.k5_numbers) (= (tptp.k2_group_3 A (tptp.k6_group_1 A D B) C) (tptp.k6_group_1 A D (tptp.k2_group_3 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)) (=> (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.v1_int_1 D) (= (tptp.k2_group_3 A (tptp.k6_group_1 A D B) C) (tptp.k6_group_1 A D (tptp.k2_group_3 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)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.v7_group_1 A) (tptp.l1_group_1 A)) (= (tptp.k2_group_3 A B C) B)))))))) (forall ((A $$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 $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (tptp.k2_group_3 A B C) B))))) (tptp.v7_group_1 A)))) true (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)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B))) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B))) (= (tptp.r2_hidden A (tptp.k3_group_3 B C D)) (exists ((E $$unsorted)) (and (tptp.m1_subset_1 E (tptp.u1_struct_0 B)) (exists ((F $$unsorted)) (and (tptp.m1_subset_1 F (tptp.u1_struct_0 B)) (= A (tptp.k2_group_3 B E F)) (tptp.r2_hidden E C) (tptp.r2_hidden F 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.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (not (= (tptp.k3_group_3 A B C) tptp.k1_xboole_0)) (and (not (= B tptp.k1_xboole_0)) (not (= C tptp.k1_xboole_0)))))))))) (forall ((A $$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))) (tptp.r1_tarski (tptp.k3_group_3 A B C) (tptp.k2_group_2 A (tptp.k2_group_2 A (tptp.k1_group_2 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)) (=> (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.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (tptp.r1_tarski (tptp.k3_group_3 A (tptp.k2_group_2 A B C) D) (tptp.k2_group_2 A (tptp.k3_group_3 A B D) (tptp.k3_group_3 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.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.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (tptp.k3_group_3 A (tptp.k3_group_3 A B C) D) (tptp.k3_group_3 A B (tptp.k2_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.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (tptp.k3_group_3 A (tptp.k1_group_2 A B) C) (tptp.k1_group_2 A (tptp.k3_group_3 A B C))))))))) (forall ((A $$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 $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 C _let_1) (= (tptp.k3_group_3 A (tptp.k6_domain_1 _let_1 B) (tptp.k6_domain_1 _let_1 C)) (tptp.k6_domain_1 _let_1 (tptp.k2_group_3 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)) (=> (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.k3_group_3 A (tptp.k6_domain_1 _let_1 B) (tptp.k7_domain_1 _let_1 C D)) (tptp.k7_domain_1 _let_1 (tptp.k2_group_3 A B C) (tptp.k2_group_3 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)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 D _let_1) (= (tptp.k3_group_3 A (tptp.k7_domain_1 _let_1 B C) (tptp.k6_domain_1 _let_1 D)) (tptp.k7_domain_1 _let_1 (tptp.k2_group_3 A B D) (tptp.k2_group_3 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 $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (forall ((E $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 E _let_1) (= (tptp.k3_group_3 A (tptp.k7_domain_1 _let_1 B C) (tptp.k7_domain_1 _let_1 D E)) (tptp.k9_domain_1 _let_1 (tptp.k2_group_3 A B D) (tptp.k2_group_3 A B E) (tptp.k2_group_3 A C D) (tptp.k2_group_3 A C E)))))))))))))) (forall ((A $$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 $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 C _let_1) (= (tptp.k4_group_3 A B C) (tptp.k3_group_3 A B (tptp.k6_domain_1 _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.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 C _let_1) (= (tptp.k5_group_3 A B C) (tptp.k3_group_3 A (tptp.k6_domain_1 _let_1 C) B))))))))) true true (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_group_1 B) (tptp.v4_group_1 B) (tptp.l1_group_1 B)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 B)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B))) (= (tptp.r2_hidden A (tptp.k4_group_3 B D C)) (exists ((E $$unsorted)) (and (tptp.m1_subset_1 E (tptp.u1_struct_0 B)) (= A (tptp.k2_group_3 B E C)) (tptp.r2_hidden E D)))))))))) (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)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 B)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B))) (= (tptp.r2_hidden A (tptp.k5_group_3 B D C)) (exists ((E $$unsorted)) (and (tptp.m1_subset_1 E (tptp.u1_struct_0 B)) (= A (tptp.k2_group_3 B C E)) (tptp.r2_hidden E D)))))))))) (forall ((A $$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 $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (tptp.r1_tarski (tptp.k5_group_3 A C B) (tptp.k2_group_2 A (tptp.k4_group_2 A B (tptp.k1_group_2 A 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)) (=> (tptp.m1_subset_1 B (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.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (tptp.k4_group_3 A (tptp.k3_group_3 A C D) B) (tptp.k3_group_3 A C (tptp.k4_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 $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (tptp.k3_group_3 A (tptp.k4_group_3 A C B) D) (tptp.k3_group_3 A C (tptp.k3_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 $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (tptp.k3_group_3 A (tptp.k5_group_3 A C B) D) (tptp.k5_group_3 A (tptp.k2_group_2 A C D) 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.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (tptp.k4_group_3 A (tptp.k4_group_3 A D B) C) (tptp.k4_group_3 A D (tptp.k1_group_1 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)) (=> (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.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (tptp.k4_group_3 A (tptp.k5_group_3 A D B) C) (tptp.k5_group_3 A (tptp.k4_group_2 A C D) 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.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (tptp.k5_group_3 A D (tptp.k2_group_3 A B C)) (tptp.k5_group_3 A (tptp.k3_group_2 A C D) 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 $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (tptp.k4_group_3 A C B) (tptp.k4_group_2 A B (tptp.k3_group_2 A (tptp.k3_group_1 A B) C))))))))) (forall ((A $$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 $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (tptp.r1_tarski (tptp.k4_group_3 A (tptp.k2_group_2 A C D) B) (tptp.k2_group_2 A (tptp.k4_group_3 A C B) (tptp.k4_group_3 A D B))))))))))) (forall ((A $$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 $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (tptp.k4_group_3 A B (tptp.k2_group_1 A)) B))))) (forall ((A $$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 $$unsorted)) (let ((_let_1 (tptp.k2_group_1 A))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 _let_2)) (=> (not (= B tptp.k1_xboole_0)) (= (tptp.k5_group_3 A B _let_1) (tptp.k6_domain_1 _let_2 _let_1))))))))) (forall ((A $$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 B))) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (and (= (tptp.k4_group_3 A (tptp.k4_group_3 A C B) _let_1) C) (= (tptp.k4_group_3 A (tptp.k4_group_3 A C _let_1) B) C))))))))) true (forall ((A $$unsorted)) (let ((_let_1 (tptp.l1_group_1 A))) (let ((_let_2 (tptp.v4_group_1 A))) (let ((_let_3 (tptp.v3_group_1 A))) (let ((_let_4 (not (tptp.v3_struct_0 A)))) (=> (and _let_4 _let_3 _let_2 _let_1) (= (and _let_4 _let_3 _let_2 (tptp.v7_group_1 A) _let_1) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (not (= C tptp.k1_xboole_0)) (= (tptp.k3_group_3 A B C) B))))))))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.l1_group_1 A))) (let ((_let_2 (tptp.v4_group_1 A))) (let ((_let_3 (tptp.v3_group_1 A))) (let ((_let_4 (not (tptp.v3_struct_0 A)))) (=> (and _let_4 _let_3 _let_2 _let_1) (= (and _let_4 _let_3 _let_2 (tptp.v7_group_1 A) _let_1) (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.k4_group_3 A B C) B)))))))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.l1_group_1 A))) (let ((_let_2 (tptp.v4_group_1 A))) (let ((_let_3 (tptp.v3_group_1 A))) (let ((_let_4 (not (tptp.v3_struct_0 A)))) (=> (and _let_4 _let_3 _let_2 _let_1) (= (and _let_4 _let_3 _let_2 (tptp.v7_group_1 A) _let_1) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 C _let_1) (=> (not (= B tptp.k1_xboole_0)) (= (tptp.k5_group_3 A B C) (tptp.k6_domain_1 _let_1 C))))))))))))))) (forall ((A $$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 $$unsorted)) (=> (tptp.m1_group_2 B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (and (tptp.v1_group_1 D) (tptp.m1_group_2 D A)) (= (= D (tptp.k6_group_3 A B C)) (= (tptp.u1_struct_0 D) (tptp.k4_group_3 A (tptp.k7_group_2 A B) C))))))))))) true true (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_group_1 B) (tptp.v4_group_1 B) (tptp.l1_group_1 B)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 B)) (forall ((D $$unsorted)) (=> (tptp.m1_group_2 D B) (= (tptp.r1_rlvect_1 (tptp.k6_group_3 B D C) A) (exists ((E $$unsorted)) (and (tptp.m1_subset_1 E (tptp.u1_struct_0 B)) (= A (tptp.k2_group_3 B E C)) (tptp.r1_rlvect_1 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_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_group_2 C A) (= (tptp.u1_struct_0 (tptp.k6_group_3 A C B)) (tptp.k4_group_2 A B (tptp.k12_group_2 A C (tptp.k3_group_1 A B)))))))))) (forall ((A $$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 $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_group_2 D A) (tptp.r1_group_2 A (tptp.k6_group_3 A (tptp.k6_group_3 A D B) C) (tptp.k6_group_3 A D (tptp.k1_group_1 A B C))))))))))) (forall ((A $$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 $$unsorted)) (=> (and (tptp.v1_group_1 B) (tptp.m1_group_2 B A)) (tptp.r1_group_2 A (tptp.k6_group_3 A B (tptp.k2_group_1 A)) B))))) (forall ((A $$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.k3_group_1 A B))) (=> (and (tptp.v1_group_1 C) (tptp.m1_group_2 C A)) (and (tptp.r1_group_2 A (tptp.k6_group_3 A (tptp.k6_group_3 A C B) _let_1) C) (tptp.r1_group_2 A (tptp.k6_group_3 A (tptp.k6_group_3 A C _let_1) B) C))))))))) 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 $$unsorted)) (=> (tptp.m1_group_2 C A) (forall ((D $$unsorted)) (=> (tptp.m1_group_2 D A) (tptp.r1_group_2 A (tptp.k6_group_3 A (tptp.k9_group_2 A C D) B) (tptp.k9_group_2 A (tptp.k6_group_3 A C B) (tptp.k6_group_3 A D 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 $$unsorted)) (=> (tptp.m1_group_2 C A) (= (tptp.k8_group_1 C) (tptp.k8_group_1 (tptp.k6_group_3 A C B))))))))) (forall ((A $$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 $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_group_2 C A) (= (tptp.v6_group_1 C) (tptp.v6_group_1 (tptp.k6_group_3 A 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)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_group_2 C A) (=> (tptp.v6_group_1 C) (= (tptp.k9_group_1 C) (tptp.k9_group_1 (tptp.k6_group_3 A C B)))))))))) (forall ((A $$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 $$unsorted)) (let ((_let_1 (tptp.k5_group_2 A))) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (tptp.r1_group_2 A (tptp.k6_group_3 A _let_1 B) _let_1)))))) (forall ((A $$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 $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k5_group_2 A))) (=> (and (tptp.v1_group_1 C) (tptp.m1_group_2 C A)) (=> (tptp.r1_group_2 A (tptp.k6_group_3 A C B) _let_1) (tptp.r1_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)) (let ((_let_1 (tptp.k6_group_2 A))) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (tptp.r1_group_2 A (tptp.k6_group_3 A _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)) (forall ((C $$unsorted)) (=> (and (tptp.v1_group_1 C) (tptp.m1_group_2 C A)) (=> (= (tptp.k6_group_3 A C B) A) (= C A)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_group_2 C A) (= (tptp.k16_group_2 A C) (tptp.k16_group_2 A (tptp.k6_group_3 A 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)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_group_2 C A) (=> (tptp.v1_finset_1 (tptp.k14_group_2 A C)) (= (tptp.k17_group_2 A C) (tptp.k17_group_2 A (tptp.k6_group_3 A C B)))))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.l1_group_1 A))) (let ((_let_2 (tptp.v4_group_1 A))) (let ((_let_3 (tptp.v3_group_1 A))) (let ((_let_4 (not (tptp.v3_struct_0 A)))) (=> (and _let_4 _let_3 _let_2 _let_1) (=> (and _let_4 _let_3 _let_2 (tptp.v7_group_1 A) _let_1) (forall ((B $$unsorted)) (=> (and (tptp.v1_group_1 B) (tptp.m1_group_2 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (tptp.r1_group_2 A (tptp.k6_group_3 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)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (tptp.r1_group_3 A B C) (exists ((D $$unsorted)) (and (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (= B (tptp.k2_group_3 A C D))))))))))) 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 $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (tptp.r1_group_3 A B C) (exists ((D $$unsorted)) (and (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (= C (tptp.k2_group_3 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)) (tptp.r1_group_3 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 $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (=> (tptp.r1_group_3 A B C) (tptp.r1_group_3 A C B)))))))) (forall ((A $$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 $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (=> (and (tptp.r2_group_3 A B C) (tptp.r2_group_3 A C D)) (tptp.r2_group_3 A B D)))))))))) (forall ((A $$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 $$unsorted)) (let ((_let_1 (tptp.k2_group_1 A))) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (=> (or (tptp.r2_group_3 A B _let_1) (tptp.r2_group_3 A _let_1 B)) (= B _let_1))))))) (forall ((A $$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 $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (= (tptp.k7_group_3 A B) (tptp.k5_group_3 A (tptp.k7_group_2 A (tptp.k6_group_2 A)) B)))))) true (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_group_1 B) (tptp.v4_group_1 B) (tptp.l1_group_1 B)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 B)) (= (tptp.r2_hidden A (tptp.k7_group_3 B C)) (exists ((D $$unsorted)) (and (tptp.m1_subset_1 D (tptp.u1_struct_0 B)) (= D A) (tptp.r2_group_3 B C D)))))))) (forall ((A $$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)) (= (tptp.r2_hidden B (tptp.k7_group_3 A C)) (tptp.r2_group_3 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)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (tptp.r2_hidden (tptp.k2_group_3 A B C) (tptp.k7_group_3 A B)))))))) (forall ((A $$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 $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (tptp.r2_hidden B (tptp.k7_group_3 A B)))))) (forall ((A $$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)) (=> (tptp.r2_hidden B (tptp.k7_group_3 A C)) (tptp.r2_hidden C (tptp.k7_group_3 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 $$unsorted)) (let ((_let_1 (tptp.k7_group_3 A C))) (let ((_let_2 (tptp.k7_group_3 A B))) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (= _let_2 _let_1) (not (tptp.r1_xboole_0 _let_2 _let_1))))))))))) (forall ((A $$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 $$unsorted)) (let ((_let_1 (tptp.k2_group_1 A))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 B _let_2) (= (= (tptp.k7_group_3 A B) (tptp.k6_domain_1 _let_2 _let_1)) (= B _let_1)))))))) (forall ((A $$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 $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k7_group_3 A B))) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (tptp.k2_group_2 A _let_1 C) (tptp.k2_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)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (tptp.r3_group_3 A B C) (exists ((D $$unsorted)) (and (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (= B (tptp.k4_group_3 A C D))))))))))) 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.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (tptp.r3_group_3 A B C) (exists ((D $$unsorted)) (and (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (= C (tptp.k4_group_3 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.k1_zfmisc_1 (tptp.u1_struct_0 A))) (tptp.r3_group_3 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.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (tptp.r3_group_3 A B C) (tptp.r3_group_3 A C B)))))))) (forall ((A $$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 $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (and (tptp.r4_group_3 A B C) (tptp.r4_group_3 A C D)) (tptp.r4_group_3 A B D)))))))))) (forall ((A $$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 A))) (=> (tptp.m1_subset_1 C _let_1) (= (tptp.r4_group_3 A (tptp.k6_domain_1 _let_1 B) (tptp.k6_domain_1 _let_1 C)) (tptp.r2_group_3 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)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (=> (tptp.m1_group_2 C A) (not (and (tptp.r4_group_3 A B (tptp.k7_group_2 A C)) (forall ((D $$unsorted)) (=> (and (tptp.v1_group_1 D) (tptp.m1_group_2 D A)) (not (= (tptp.u1_struct_0 D) B)))))))))))) true (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)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B))) (= (tptp.r2_hidden A (tptp.k8_group_3 B C)) (exists ((D $$unsorted)) (and (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B))) (= A D) (tptp.r4_group_3 B C D)))))))) 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.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (tptp.r2_hidden B (tptp.k8_group_3 A C)) (tptp.r4_group_3 A B C)))))))) (forall ((A $$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 $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (tptp.r2_hidden (tptp.k4_group_3 A C B) (tptp.k8_group_3 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.k1_zfmisc_1 (tptp.u1_struct_0 A))) (tptp.r2_hidden B (tptp.k8_group_3 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.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (tptp.r2_hidden B (tptp.k8_group_3 A C)) (tptp.r2_hidden C (tptp.k8_group_3 A B))))))))) (forall ((A $$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 $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k8_group_3 A C))) (let ((_let_2 (tptp.k8_group_3 A B))) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (= _let_2 _let_1) (not (tptp.r1_xboole_0 _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.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (tptp.v6_group_1 A) (tptp.v1_finset_1 (tptp.k8_group_3 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 $$unsorted)) (=> (tptp.m1_group_2 C A) (= (tptp.r5_group_3 A B C) (exists ((D $$unsorted)) (and (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (= (tptp.g1_group_1 (tptp.u1_struct_0 B) (tptp.u1_group_1 B)) (tptp.k6_group_3 A C D))))))))))) 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_1 B) (tptp.m1_group_2 B A)) (forall ((C $$unsorted)) (=> (and (tptp.v1_group_1 C) (tptp.m1_group_2 C A)) (= (tptp.r5_group_3 A B C) (exists ((D $$unsorted)) (and (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (tptp.r1_group_2 A C (tptp.k6_group_3 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_1 B) (tptp.m1_group_2 B A)) (tptp.r5_group_3 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 (tptp.v1_group_1 B) (tptp.m1_group_2 B A)) (forall ((C $$unsorted)) (=> (and (tptp.v1_group_1 C) (tptp.m1_group_2 C A)) (=> (tptp.r5_group_3 A B C) (tptp.r5_group_3 A C B)))))))) (forall ((A $$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 $$unsorted)) (=> (tptp.m1_group_2 B A) (forall ((C $$unsorted)) (=> (and (tptp.v1_group_1 C) (tptp.m1_group_2 C A)) (forall ((D $$unsorted)) (=> (and (tptp.v1_group_1 D) (tptp.m1_group_2 D A)) (=> (and (tptp.r6_group_3 A C D) (tptp.r5_group_3 A D B)) (tptp.r5_group_3 A C B)))))))))) (forall ((A $$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 $$unsorted)) (=> (tptp.m1_group_2 B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.k1_group_3 A))) (= (= C (tptp.k9_group_3 A B)) (forall ((D $$unsorted)) (= (tptp.r2_hidden D C) (exists ((E $$unsorted)) (and (tptp.v1_group_1 E) (tptp.m1_group_2 E A) (= D E) (tptp.r5_group_3 A B E)))))))))))) true true (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)) (forall ((C $$unsorted)) (=> (tptp.m1_group_2 C B) (=> (tptp.r2_hidden A (tptp.k9_group_3 B C)) (and (tptp.v1_group_1 A) (tptp.m1_group_2 A B))))))) (forall ((A $$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 $$unsorted)) (=> (and (tptp.v1_group_1 B) (tptp.m1_group_2 B A)) (forall ((C $$unsorted)) (=> (and (tptp.v1_group_1 C) (tptp.m1_group_2 C A)) (= (tptp.r2_hidden B (tptp.k9_group_3 A C)) (tptp.r6_group_3 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)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (and (tptp.v1_group_1 C) (tptp.m1_group_2 C A)) (tptp.r2_hidden (tptp.k6_group_3 A C B) (tptp.k9_group_3 A C)))))))) (forall ((A $$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 $$unsorted)) (=> (and (tptp.v1_group_1 B) (tptp.m1_group_2 B A)) (tptp.r2_hidden B (tptp.k9_group_3 A B)))))) (forall ((A $$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 $$unsorted)) (=> (and (tptp.v1_group_1 B) (tptp.m1_group_2 B A)) (forall ((C $$unsorted)) (=> (and (tptp.v1_group_1 C) (tptp.m1_group_2 C A)) (=> (tptp.r2_hidden B (tptp.k9_group_3 A C)) (tptp.r2_hidden C (tptp.k9_group_3 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_1 B) (tptp.m1_group_2 B A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k9_group_3 A C))) (let ((_let_2 (tptp.k9_group_3 A B))) (=> (and (tptp.v1_group_1 C) (tptp.m1_group_2 C A)) (= (= _let_2 _let_1) (not (tptp.r1_xboole_0 _let_2 _let_1))))))))))) (forall ((A $$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 $$unsorted)) (=> (tptp.m1_group_2 B A) (=> (tptp.v6_group_1 A) (tptp.v1_finset_1 (tptp.k9_group_3 A B))))))) (forall ((A $$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.m1_group_2 C A)) (= (tptp.r5_group_3 A C B) (tptp.r4_group_3 A (tptp.k7_group_2 A C) (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_group_2 B A) (= (tptp.v1_group_3 B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (tptp.k6_group_3 A B C) (tptp.g1_group_1 (tptp.u1_struct_0 B) (tptp.u1_group_1 B)))))))))) true true (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (and (tptp.v1_group_3 (tptp.k5_group_2 A) A) (tptp.v1_group_3 (tptp.k6_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_1 B) (tptp.v1_group_3 B A) (tptp.m1_group_2 B A)) (forall ((C $$unsorted)) (=> (and (tptp.v1_group_1 C) (tptp.v1_group_3 C A) (tptp.m1_group_2 C A)) (tptp.v1_group_3 (tptp.k9_group_2 A B C) A))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_group_1 B) (tptp.m1_group_2 B A)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.v7_group_1 A) (tptp.l1_group_1 A)) (tptp.v1_group_3 B A)))))) (forall ((A $$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 $$unsorted)) (let ((_let_1 (tptp.m1_group_2 B A))) (=> _let_1 (= (and (tptp.v1_group_3 B A) _let_1) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (tptp.k12_group_2 A B C) (tptp.k13_group_2 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)) (let ((_let_1 (tptp.m1_group_2 B A))) (=> _let_1 (= (and (tptp.v1_group_3 B A) _let_1) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (tptp.r1_tarski (tptp.k12_group_2 A B C) (tptp.k13_group_2 A B C)))))))))) (forall ((A $$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 $$unsorted)) (let ((_let_1 (tptp.m1_group_2 B A))) (=> _let_1 (= (and (tptp.v1_group_3 B A) _let_1) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (tptp.r1_tarski (tptp.k13_group_2 A B C) (tptp.k12_group_2 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)) (let ((_let_1 (tptp.m1_group_2 B A))) (=> _let_1 (= (and (tptp.v1_group_3 B A) _let_1) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (tptp.k10_group_2 A B C) (tptp.k11_group_2 A B C)))))))))) (forall ((A $$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 $$unsorted)) (let ((_let_1 (tptp.m1_group_2 B A))) (=> (and (tptp.v1_group_1 B) _let_1) (= (and (tptp.v1_group_3 B A) _let_1) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (tptp.m1_group_2 B (tptp.k6_group_3 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)) (let ((_let_1 (tptp.m1_group_2 B A))) (=> (and (tptp.v1_group_1 B) _let_1) (= (and (tptp.v1_group_3 B A) _let_1) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (tptp.m1_group_2 (tptp.k6_group_3 A B C) B))))))))) (forall ((A $$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 $$unsorted)) (let ((_let_1 (tptp.m1_group_2 B A))) (=> (and (tptp.v1_group_1 B) _let_1) (= (and (tptp.v1_group_3 B A) _let_1) (= (tptp.k9_group_3 A B) (tptp.k1_tarski B)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.m1_group_2 B A))) (=> (and (tptp.v1_group_1 B) _let_1) (= (and (tptp.v1_group_3 B A) _let_1) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (=> (tptp.r1_rlvect_1 B C) (tptp.r1_tarski (tptp.k7_group_3 A C) (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)) (=> (and (tptp.v1_group_1 B) (tptp.v1_group_3 B A) (tptp.m1_group_2 B A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k7_group_2 A B))) (let ((_let_2 (tptp.k7_group_2 A C))) (=> (and (tptp.v1_group_1 C) (tptp.v1_group_3 C A) (tptp.m1_group_2 C A)) (= (tptp.k2_group_2 A _let_1 _let_2) (tptp.k2_group_2 A _let_2 _let_1)))))))))) (forall ((A $$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 $$unsorted)) (=> (and (tptp.v1_group_1 B) (tptp.v1_group_3 B A) (tptp.m1_group_2 B A)) (forall ((C $$unsorted)) (=> (and (tptp.v1_group_1 C) (tptp.v1_group_3 C A) (tptp.m1_group_2 C A)) (exists ((D $$unsorted)) (and (tptp.v1_group_1 D) (tptp.v1_group_3 D A) (tptp.m1_group_2 D A) (= (tptp.u1_struct_0 D) (tptp.k2_group_2 A (tptp.k7_group_2 A B) (tptp.k7_group_2 A C))))))))))) (forall ((A $$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 $$unsorted)) (=> (and (tptp.v1_group_3 B A) (tptp.m1_group_2 B A)) (= (tptp.k14_group_2 A B) (tptp.k15_group_2 A B)))))) (forall ((A $$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 $$unsorted)) (let ((_let_1 (tptp.m1_group_2 B A))) (=> _let_1 (=> (and (tptp.v1_finset_1 (tptp.k14_group_2 A B)) (= (tptp.k17_group_2 A B) tptp.np__2)) (and (tptp.v1_group_3 B A) _let_1))))))) true true (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_group_1 B) (tptp.v4_group_1 B) (tptp.l1_group_1 B)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B))) (= (tptp.r1_rlvect_1 (tptp.k10_group_3 B C) A) (exists ((D $$unsorted)) (and (tptp.m1_subset_1 D (tptp.u1_struct_0 B)) (= A D) (= (tptp.k4_group_3 B C D) C)))))))) (forall ((A $$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 $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (tptp.k1_card_1 (tptp.k8_group_3 A B)) (tptp.k16_group_2 A (tptp.k10_group_3 A B))))))) (forall ((A $$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 $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (not (and (or (tptp.v1_finset_1 (tptp.k8_group_3 A B)) (tptp.v1_finset_1 (tptp.k14_group_2 A (tptp.k10_group_3 A B)))) (forall ((C $$unsorted)) (=> (tptp.v1_finset_1 C) (not (and (= C (tptp.k8_group_3 A B)) (= (tptp.k4_card_1 C) (tptp.k17_group_2 A (tptp.k10_group_3 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.u1_struct_0 A))) (=> (tptp.m1_subset_1 B _let_1) (= (tptp.k1_card_1 (tptp.k7_group_3 A B)) (tptp.k16_group_2 A (tptp.k10_group_3 A (tptp.k6_domain_1 _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))) (=> (tptp.m1_subset_1 B _let_1) (not (and (or (tptp.v1_finset_1 (tptp.k7_group_3 A B)) (tptp.v1_finset_1 (tptp.k14_group_2 A (tptp.k10_group_3 A (tptp.k6_domain_1 _let_1 B))))) (forall ((C $$unsorted)) (=> (tptp.v1_finset_1 C) (not (and (= C (tptp.k7_group_3 A B)) (= (tptp.k4_card_1 C) (tptp.k17_group_2 A (tptp.k10_group_3 A (tptp.k6_domain_1 (tptp.u1_struct_0 A) B))))))))))))))) (forall ((A $$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 $$unsorted)) (=> (tptp.m1_group_2 B A) (= (tptp.k11_group_3 A B) (tptp.k10_group_3 A (tptp.k7_group_2 A B))))))) true (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_group_1 B) (tptp.v4_group_1 B) (tptp.l1_group_1 B)) (forall ((C $$unsorted)) (=> (and (tptp.v1_group_1 C) (tptp.m1_group_2 C B)) (= (tptp.r1_rlvect_1 (tptp.k11_group_3 B C) A) (exists ((D $$unsorted)) (and (tptp.m1_subset_1 D (tptp.u1_struct_0 B)) (= A D) (tptp.r1_group_2 B (tptp.k6_group_3 B C D) C)))))))) (forall ((A $$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 $$unsorted)) (=> (and (tptp.v1_group_1 B) (tptp.m1_group_2 B A)) (= (tptp.k1_card_1 (tptp.k9_group_3 A B)) (tptp.k16_group_2 A (tptp.k11_group_3 A B))))))) (forall ((A $$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 $$unsorted)) (=> (and (tptp.v1_group_1 B) (tptp.m1_group_2 B A)) (not (and (or (tptp.v1_finset_1 (tptp.k9_group_3 A B)) (tptp.v1_finset_1 (tptp.k14_group_2 A (tptp.k11_group_3 A B)))) (forall ((C $$unsorted)) (=> (tptp.v1_finset_1 C) (not (and (= C (tptp.k9_group_3 A B)) (= (tptp.k4_card_1 C) (tptp.k17_group_2 A (tptp.k11_group_3 A 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)) (let ((_let_1 (tptp.m1_group_2 B A))) (=> (and (tptp.v1_group_1 B) _let_1) (= (and (tptp.v1_group_3 B A) _let_1) (= (tptp.k11_group_3 A B) A))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v1_group_1 A) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (= (tptp.k11_group_3 A (tptp.k5_group_2 A)) A))) (forall ((A $$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.k11_group_3 A (tptp.k6_group_2 A)) A))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A) (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (=> (tptp.r2_group_3 A B C) (tptp.r2_group_3 A C B))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A) (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (tptp.r2_group_3 A B B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A) (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (= (tptp.r2_group_3 A B C) (tptp.r1_group_3 A B C))))) (forall ((A $$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.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 C _let_1)) (=> (tptp.r4_group_3 A B C) (tptp.r4_group_3 A C B))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A) (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (tptp.r4_group_3 A B B)))) (forall ((A $$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.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 C _let_1)) (= (tptp.r4_group_3 A B C) (tptp.r3_group_3 A B C))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A) (tptp.v1_group_1 B) (tptp.m1_group_2 B A) (tptp.v1_group_1 C) (tptp.m1_group_2 C A)) (=> (tptp.r6_group_3 A B C) (tptp.r6_group_3 A C B)))) (forall ((A $$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_1 B) (tptp.m1_group_2 B A) (tptp.v1_group_1 C) (tptp.m1_group_2 C A)) (tptp.r6_group_3 A B B))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A) (tptp.v1_group_1 B) (tptp.m1_group_2 B A) (tptp.v1_group_1 C) (tptp.m1_group_2 C A)) (= (tptp.r6_group_3 A B C) (tptp.r5_group_3 A B C)))) true (forall ((A $$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.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (tptp.m1_subset_1 (tptp.k2_group_3 A B C) _let_1)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A) (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (tptp.m1_subset_1 (tptp.k3_group_3 A B C) _let_1)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.k1_zfmisc_1 _let_1))) (=> (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_2) (tptp.m1_subset_1 C _let_1)) (tptp.m1_subset_1 (tptp.k4_group_3 A B C) _let_2))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.k1_zfmisc_1 _let_1))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A) (tptp.m1_subset_1 B _let_2) (tptp.m1_subset_1 C _let_1)) (tptp.m1_subset_1 (tptp.k5_group_3 A B C) _let_2))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k6_group_3 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.m1_subset_1 C (tptp.u1_struct_0 A))) (and (tptp.v1_group_1 _let_1) (tptp.m1_group_2 _let_1 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.k7_group_3 A B) (tptp.k1_zfmisc_1 _let_1))))) (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.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.k8_group_3 A B) (tptp.k1_zfmisc_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) (tptp.m1_group_2 B A)) (tptp.m1_subset_1 (tptp.k9_group_3 A B) (tptp.k1_zfmisc_1 (tptp.k1_group_3 A))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k10_group_3 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.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (and (tptp.v1_group_1 _let_1) (tptp.m1_group_2 _let_1 A))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k11_group_3 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.m1_group_2 B A)) (and (tptp.v1_group_1 _let_1) (tptp.m1_group_2 _let_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.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (tptp.k3_group_3 A B C) (tptp.a_3_0_group_3 A B C)))))))) (forall ((A $$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 $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (= (tptp.k5_group_3 A (tptp.k7_group_2 A (tptp.k6_group_2 A)) B) (tptp.a_2_0_group_3 A B)))))) (forall ((A $$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 $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (tptp.k8_group_3 A B) (tptp.a_2_1_group_3 A B)))))) (forall ((A $$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 $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 B _let_1) (= (tptp.k8_group_3 A (tptp.k6_domain_1 _let_1 B)) (tptp.a_2_2_group_3 A B))))))) (forall ((A $$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 $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (=> (and (tptp.v1_group_1 C) (tptp.m1_group_2 C A)) (= (= C (tptp.k10_group_3 A B)) (= (tptp.u1_struct_0 C) (tptp.a_2_3_group_3 A B))))))))) (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.v3_group_1 B) (tptp.v4_group_1 B) (tptp.l1_group_1 B) (tptp.m1_subset_1 C _let_1) (tptp.m1_subset_1 D _let_1)) (= (tptp.r2_hidden A (tptp.a_3_0_group_3 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.k2_group_3 B E F)) (tptp.r2_hidden E C) (tptp.r2_hidden F D)))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_group_1 B) (tptp.v4_group_1 B) (tptp.l1_group_1 B) (tptp.m1_subset_1 C (tptp.u1_struct_0 B))) (= (tptp.r2_hidden A (tptp.a_2_0_group_3 B C)) (exists ((D $$unsorted)) (and (tptp.m1_subset_1 D (tptp.u1_struct_0 B)) (= A D) (tptp.r2_group_3 B C D)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_group_1 B) (tptp.v4_group_1 B) (tptp.l1_group_1 B) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B)))) (= (tptp.r2_hidden A (tptp.a_2_1_group_3 B C)) (exists ((D $$unsorted)) (and (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B))) (= A D) (tptp.r4_group_3 B C D)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_group_1 B) (tptp.v4_group_1 B) (tptp.l1_group_1 B) (tptp.m1_subset_1 C (tptp.u1_struct_0 B))) (= (tptp.r2_hidden A (tptp.a_2_2_group_3 B C)) (exists ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (and (tptp.m1_subset_1 D _let_1) (= A (tptp.k6_domain_1 _let_1 D)) (tptp.r2_hidden D (tptp.k7_group_3 B C)))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_group_1 B) (tptp.v4_group_1 B) (tptp.l1_group_1 B) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B)))) (= (tptp.r2_hidden A (tptp.a_2_3_group_3 B C)) (exists ((D $$unsorted)) (and (tptp.m1_subset_1 D (tptp.u1_struct_0 B)) (= A D) (= (tptp.k4_group_3 B C D) C)))))) (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 $$unsorted)) (let ((_let_1 (tptp.k11_group_4 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v3_lattices _let_1) (tptp.v4_lattices _let_1) (tptp.v5_lattices _let_1) (tptp.v6_lattices _let_1) (tptp.v7_lattices _let_1) (tptp.v8_lattices _let_1) (tptp.v9_lattices _let_1) (tptp.v10_lattices _let_1) (tptp.v13_lattices _let_1) (tptp.v14_lattices _let_1) (tptp.v15_lattices _let_1))))) true (forall ((A $$unsorted)) (=> (tptp.v1_int_1 A) (= (tptp.k2_group_4 A) A))) true true (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)) (=> (tptp.m1_group_2 D B) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.u1_struct_0 D)) (=> (= C E) (= (tptp.k6_group_1 B A C) (tptp.k6_group_1 D A E))))))))))))) (forall ((A $$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 $$unsorted)) (=> (tptp.m1_group_2 D B) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.u1_struct_0 D)) (=> (= C E) (= (tptp.k6_group_1 B A C) (tptp.k6_group_1 D A 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 $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 B)) (forall ((D $$unsorted)) (=> (tptp.m1_group_2 D B) (=> (tptp.r1_rlvect_1 D C) (tptp.r1_rlvect_1 D (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)) (=> (tptp.m1_group_2 D B) (=> (tptp.r1_rlvect_1 D C) (tptp.r1_rlvect_1 D (tptp.k6_group_1 B A C))))))))))) (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))) (=> (tptp.m2_finseq_1 B _let_1) (= (tptp.k3_group_4 A B) (tptp.k2_finsop_1 _let_1 B (tptp.u1_group_1 A)))))))) true (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m2_finseq_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m2_finseq_1 C _let_1) (= (tptp.k3_group_4 A (tptp.k8_finseq_1 _let_1 B C)) (tptp.k1_group_1 A (tptp.k3_group_4 A B) (tptp.k3_group_4 A C)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_group_1 A) (tptp.l1_group_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.m1_subset_1 C _let_1) (= (tptp.k3_group_4 A (tptp.k8_finseq_1 _let_1 B (tptp.k12_finseq_1 _let_1 C))) (tptp.k1_group_1 A (tptp.k3_group_4 A B) C))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m2_finseq_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 C _let_1) (= (tptp.k3_group_4 A (tptp.k8_finseq_1 _let_1 (tptp.k12_finseq_1 _let_1 C) B)) (tptp.k1_group_1 A C (tptp.k3_group_4 A B)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_group_1 A) (tptp.l1_group_1 A)) (= (tptp.k3_group_4 A (tptp.k6_finseq_1 (tptp.u1_struct_0 A))) (tptp.k2_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))) (=> (tptp.m1_subset_1 B _let_1) (= (tptp.k3_group_4 A (tptp.k12_finseq_1 _let_1 B)) B)))))) (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 $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (tptp.k3_group_4 A (tptp.k7_rlvect_1 A B C)) (tptp.k1_group_1 A B C)))))))) (forall ((A $$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 $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k3_group_4 A (tptp.k8_rlvect_1 A B C D)))) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (and (= _let_1 (tptp.k1_group_1 A (tptp.k1_group_1 A B C) D)) (= _let_1 (tptp.k1_group_1 A B (tptp.k1_group_1 A C D))))))))))))) (forall ((A $$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.u1_struct_0 B))) (=> (tptp.m1_subset_1 C _let_1) (= (tptp.k3_group_4 B (tptp.k1_finsop_1 _let_1 A C)) (tptp.k6_group_1 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)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m2_finseq_1 B _let_1) (= (tptp.k3_group_4 A (tptp.k1_group_4 _let_1 B (tptp.k6_domain_1 _let_1 (tptp.k2_group_1 A)))) (tptp.k3_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)) (=> (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) (=> (tptp.r2_hidden D (tptp.k4_finseq_1 B)) (= (tptp.k1_funct_1 C (tptp.k2_xcmplx_0 (tptp.k6_xcmplx_0 (tptp.k3_finseq_1 B) D) tptp.np__1)) (tptp.k3_group_1 A (tptp.k4_finseq_4 tptp.k5_numbers (tptp.u1_struct_0 A) B D))))))) (= (tptp.k3_group_4 A B) (tptp.k3_group_1 A (tptp.k3_group_4 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.m2_finseq_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m2_finseq_1 C (tptp.u1_struct_0 A)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.v7_group_1 A) (tptp.l1_group_1 A)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k4_finseq_1 B))) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D _let_1 _let_1) (tptp.v3_funct_2 D _let_1 _let_1) (tptp.m2_relset_1 D _let_1 _let_1)) (=> (= C (tptp.k5_relat_1 D B)) (= (tptp.k3_group_4 A B) (tptp.k3_group_4 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.m2_finseq_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m2_finseq_1 C (tptp.u1_struct_0 A)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.v7_group_1 A) (tptp.l1_group_1 A) (tptp.v2_funct_1 B) (tptp.v2_funct_1 C) (= (tptp.k2_relat_1 B) (tptp.k2_relat_1 C))) (= (tptp.k3_group_4 A B) (tptp.k3_group_4 A C))))))))) (forall ((A $$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 $$unsorted)) (=> (tptp.m2_finseq_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m2_finseq_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k3_finseq_1 B))) (=> (tptp.m2_finseq_1 D (tptp.u1_struct_0 A)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.v7_group_1 A) (tptp.l1_group_1 A) (= _let_1 (tptp.k3_finseq_1 C)) (= _let_1 (tptp.k3_finseq_1 D)) (forall ((E $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m2_subset_1 E tptp.k1_numbers tptp.k5_numbers) (=> (tptp.r2_hidden E (tptp.k4_finseq_1 B)) (= (tptp.k1_funct_1 B E) (tptp.k1_group_1 A (tptp.k4_finseq_4 tptp.k5_numbers _let_1 C E) (tptp.k4_finseq_4 tptp.k5_numbers _let_1 D E)))))))) (= (tptp.k3_group_4 A B) (tptp.k1_group_1 A (tptp.k3_group_4 A C) (tptp.k3_group_4 A 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 $$unsorted)) (=> (tptp.m2_finseq_1 C (tptp.u1_struct_0 A)) (=> (tptp.r1_tarski (tptp.k2_relat_1 C) (tptp.k7_group_2 A B)) (tptp.r1_rlvect_1 B (tptp.k3_group_4 A C))))))))) (forall ((A $$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 $$unsorted)) (=> (tptp.m2_finseq_1 B tptp.k4_numbers) (forall ((C $$unsorted)) (=> (tptp.m2_finseq_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m2_finseq_1 D (tptp.u1_struct_0 A)) (= (= D (tptp.k4_group_4 A B C)) (and (= (tptp.k3_finseq_1 D) (tptp.k3_finseq_1 C)) (forall ((E $$unsorted)) (=> (tptp.m2_subset_1 E tptp.k1_numbers tptp.k5_numbers) (=> (tptp.r2_hidden E (tptp.k4_finseq_1 C)) (= (tptp.k1_funct_1 D E) (tptp.k6_group_1 A (tptp.k2_group_4 (tptp.k4_finseq_4 tptp.k5_numbers tptp.k4_numbers B E)) (tptp.k4_finseq_4 tptp.k5_numbers (tptp.u1_struct_0 A) 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)) (=> (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)) (=> (tptp.m2_finseq_1 D tptp.k4_numbers) (forall ((E $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m2_finseq_1 E tptp.k4_numbers) (=> (and (= (tptp.k3_finseq_1 B) (tptp.k3_finseq_1 D)) (= (tptp.k3_finseq_1 C) (tptp.k3_finseq_1 E))) (= (tptp.k4_group_4 A (tptp.k8_finseq_1 tptp.k4_numbers D E) (tptp.k8_finseq_1 _let_1 B C)) (tptp.k8_finseq_1 _let_1 (tptp.k4_group_4 A D B) (tptp.k4_group_4 A E C))))))))))))))) (forall ((A $$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.m2_finseq_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m2_finseq_1 D tptp.k4_numbers) (=> (tptp.r1_tarski (tptp.k2_relat_1 C) (tptp.k7_group_2 A B)) (tptp.r1_rlvect_1 B (tptp.k3_group_4 A (tptp.k4_group_4 A D C)))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (= (tptp.k4_group_4 A (tptp.k6_finseq_1 tptp.k4_numbers) (tptp.k6_finseq_1 (tptp.u1_struct_0 A))) tptp.k1_xboole_0))) (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 $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (=> (tptp.m1_subset_1 C _let_1) (= (tptp.k4_group_4 B (tptp.k12_finseq_1 tptp.k4_numbers (tptp.k2_group_4 A)) (tptp.k12_finseq_1 _let_1 C)) (tptp.k12_finseq_1 _let_1 (tptp.k6_group_1 B A C)))))))))) (forall ((A $$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)) (=> (tptp.m1_subset_1 E (tptp.u1_struct_0 C)) (= (tptp.k4_group_4 C (tptp.k2_finseq_4 tptp.k4_numbers (tptp.k2_group_4 A) (tptp.k2_group_4 B)) (tptp.k7_rlvect_1 C D E)) (tptp.k7_rlvect_1 C (tptp.k6_group_1 C A D) (tptp.k6_group_1 C B E))))))))))))) (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)) (=> (and (not (tptp.v3_struct_0 D)) (tptp.v3_group_1 D) (tptp.v4_group_1 D) (tptp.l1_group_1 D)) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.u1_struct_0 D)) (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F (tptp.u1_struct_0 D)) (forall ((G $$unsorted)) (=> (tptp.m1_subset_1 G (tptp.u1_struct_0 D)) (= (tptp.k4_group_4 D (tptp.k3_finseq_4 tptp.k4_numbers (tptp.k2_group_4 A) (tptp.k2_group_4 B) (tptp.k2_group_4 C)) (tptp.k8_rlvect_1 D E F G)) (tptp.k8_rlvect_1 D (tptp.k6_group_1 D A E) (tptp.k6_group_1 D B F) (tptp.k6_group_1 D C G))))))))))))))))) (forall ((A $$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 $$unsorted)) (=> (tptp.m2_finseq_1 B (tptp.u1_struct_0 A)) (= (tptp.k4_group_4 A (tptp.k1_finsop_1 tptp.k4_numbers (tptp.k3_finseq_1 B) (tptp.k2_group_4 tptp.np__1)) B) B))))) (forall ((A $$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 $$unsorted)) (let ((_let_1 (tptp.k3_finseq_1 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (tptp.m2_finseq_1 B _let_2) (= (tptp.k4_group_4 A (tptp.k1_finsop_1 tptp.k4_numbers _let_1 (tptp.k2_group_4 tptp.np__0)) B) (tptp.k1_finsop_1 _let_2 _let_1 (tptp.k2_group_1 A))))))))) (forall ((A $$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)) (let ((_let_1 (tptp.k1_finsop_1 (tptp.u1_struct_0 B) A (tptp.k2_group_1 B)))) (=> (tptp.m2_finseq_1 C tptp.k4_numbers) (=> (= (tptp.k3_finseq_1 C) A) (= (tptp.k4_group_4 B C _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.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (=> (and (tptp.v1_group_1 C) (tptp.m1_group_2 C A)) (= (= C (tptp.k5_group_4 A B)) (and (tptp.r1_tarski B (tptp.u1_struct_0 C)) (forall ((D $$unsorted)) (=> (and (tptp.v1_group_1 D) (tptp.m1_group_2 D A)) (=> (tptp.r1_tarski B (tptp.u1_struct_0 D)) (tptp.m1_group_2 C D)))))))))))) 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)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (tptp.r1_rlvect_1 (tptp.k5_group_4 A C) B) (exists ((D $$unsorted)) (and (tptp.m2_finseq_1 D (tptp.u1_struct_0 A)) (exists ((E $$unsorted)) (and (tptp.m2_finseq_1 E tptp.k4_numbers) (= (tptp.k3_finseq_1 D) (tptp.k3_finseq_1 E)) (tptp.r1_tarski (tptp.k2_relat_1 D) C) (= (tptp.k3_group_4 A (tptp.k4_group_4 A E D)) B)))))))))))) (forall ((A $$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.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (tptp.r2_hidden B C) (tptp.r1_rlvect_1 (tptp.k5_group_4 A C) B)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (tptp.r1_group_2 A (tptp.k5_group_4 A (tptp.k1_subset_1 (tptp.u1_struct_0 A))) (tptp.k5_group_2 A)))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_group_1 B) (tptp.m1_group_2 B A)) (tptp.r1_group_2 A (tptp.k5_group_4 A (tptp.k7_group_2 A B)) B))))) (forall ((A $$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 $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (tptp.r1_tarski B C) (tptp.m1_group_2 (tptp.k5_group_4 A B) (tptp.k5_group_4 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.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 _let_1)) (tptp.m1_group_2 (tptp.k5_group_4 A (tptp.k5_subset_1 _let_1 B C)) (tptp.k9_group_2 A (tptp.k5_group_4 A B) (tptp.k5_group_4 A C)))))))))) (forall ((A $$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 $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 _let_1)) (tptp.r1_group_2 A (tptp.k5_group_4 A B) (tptp.k5_group_4 A (tptp.k6_subset_1 _let_1 B (tptp.k6_domain_1 _let_1 (tptp.k2_group_1 A)))))))))) (forall ((A $$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 $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (= (tptp.v1_group_4 B A) (exists ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.g1_group_1 _let_1 (tptp.u1_group_1 A)))) (and (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 _let_1)) (= (tptp.k5_group_4 A C) _let_2) (not (= (tptp.k5_group_4 A (tptp.k6_subset_1 _let_1 C (tptp.k6_domain_1 _let_1 B))) _let_2))))))))))) true (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (not (tptp.v1_group_4 (tptp.k2_group_1 A) A)))) (forall ((A $$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 $$unsorted)) (=> (tptp.m1_group_2 B A) (= (tptp.v2_group_4 B A) (and (not (= (tptp.g1_group_1 (tptp.u1_struct_0 B) (tptp.u1_group_1 B)) (tptp.g1_group_1 (tptp.u1_struct_0 A) (tptp.u1_group_1 A)))) (forall ((C $$unsorted)) (=> (and (tptp.v1_group_1 C) (tptp.m1_group_2 C A)) (=> (tptp.m1_group_2 B C) (or (= (tptp.g1_group_1 (tptp.u1_struct_0 B) (tptp.u1_group_1 B)) C) (= C (tptp.g1_group_1 (tptp.u1_struct_0 A) (tptp.u1_group_1 A))))))))))))) 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 (tptp.v1_group_1 B) (tptp.m1_group_2 B A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 C _let_1) (=> (tptp.v2_group_4 B A) (or (tptp.r1_rlvect_1 B C) (= (tptp.k5_group_4 A (tptp.k4_subset_1 _let_1 (tptp.k7_group_2 A B) (tptp.k6_domain_1 _let_1 C))) A)))))))))) true true true (forall ((A $$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 $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.v3_group_1 C) (tptp.v4_group_1 C) (tptp.l1_group_1 C)) (=> (exists ((D $$unsorted)) (and (tptp.v1_group_1 D) (tptp.m1_group_2 D C) (tptp.v2_group_4 D C))) (= (tptp.r1_rlvect_1 (tptp.k6_group_4 C) B) (forall ((D $$unsorted)) (=> (and (tptp.v1_group_1 D) (tptp.m1_group_2 D C)) (=> (tptp.v2_group_4 D C) (tptp.r1_rlvect_1 D 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 $$unsorted)) (=> (and (tptp.v1_group_1 C) (tptp.m1_group_2 C A)) (not (tptp.v2_group_4 C A)))) (tptp.r1_rlvect_1 (tptp.k6_group_4 A) B)))))) (forall ((A $$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 $$unsorted)) (=> (and (tptp.v1_group_1 B) (tptp.m1_group_2 B A)) (=> (tptp.v2_group_4 B A) (tptp.m1_group_2 (tptp.k6_group_4 A) B)))))) (forall ((A $$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 $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (= (tptp.r1_rlvect_1 (tptp.k6_group_4 A) B) (not (tptp.v1_group_4 B A))))))) (forall ((A $$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 $$unsorted)) (=> (tptp.m1_group_2 B A) (forall ((C $$unsorted)) (=> (tptp.m1_group_2 C A) (= (tptp.k7_group_4 A B C) (tptp.k2_group_2 A (tptp.k7_group_2 A B) (tptp.k7_group_2 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_group_2 B A) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k7_group_2 A B))) (let ((_let_2 (tptp.k7_group_4 A B C))) (let ((_let_3 (tptp.k7_group_2 A C))) (=> (tptp.m1_group_2 C A) (and (= _let_2 (tptp.k2_group_2 A _let_1 _let_3)) (= _let_2 (tptp.k11_group_2 A B _let_3)) (= _let_2 (tptp.k10_group_2 A C _let_1)))))))))))) (forall ((A $$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 $$unsorted)) (=> (tptp.m1_group_2 B A) (= (tptp.k7_group_4 A B B) (tptp.k7_group_2 A B)))))) (forall ((A $$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 $$unsorted)) (=> (tptp.m1_group_2 B A) (forall ((C $$unsorted)) (=> (tptp.m1_group_2 C A) (forall ((D $$unsorted)) (=> (tptp.m1_group_2 D A) (= (tptp.k10_group_2 A D (tptp.k7_group_4 A B C)) (tptp.k11_group_2 A B (tptp.k7_group_4 A C D))))))))))) (forall ((A $$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)) (=> (tptp.m1_group_2 C A) (forall ((D $$unsorted)) (=> (tptp.m1_group_2 D A) (= (tptp.k10_group_2 A D (tptp.k12_group_2 A C B)) (tptp.k3_group_2 A B (tptp.k7_group_4 A C D))))))))))) (forall ((A $$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)) (=> (tptp.m1_group_2 C A) (forall ((D $$unsorted)) (=> (tptp.m1_group_2 D A) (= (tptp.k4_group_2 A B (tptp.k7_group_4 A C D)) (tptp.k11_group_2 A C (tptp.k13_group_2 A D B))))))))))) (forall ((A $$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 $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (=> (tptp.m1_group_2 C A) (forall ((D $$unsorted)) (=> (tptp.m1_group_2 D A) (= (tptp.k10_group_2 A D (tptp.k10_group_2 A C B)) (tptp.k2_group_2 A B (tptp.k7_group_4 A C D))))))))))) (forall ((A $$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 $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (=> (tptp.m1_group_2 C A) (forall ((D $$unsorted)) (=> (tptp.m1_group_2 D A) (= (tptp.k2_group_2 A (tptp.k7_group_4 A C D) B) (tptp.k11_group_2 A C (tptp.k11_group_2 A D B))))))))))) (forall ((A $$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 $$unsorted)) (=> (and (tptp.v1_group_1 B) (tptp.v1_group_3 B A) (tptp.m1_group_2 B A)) (forall ((C $$unsorted)) (=> (and (tptp.v1_group_1 C) (tptp.v1_group_3 C A) (tptp.m1_group_2 C A)) (= (tptp.k7_group_4 A B C) (tptp.k7_group_4 A 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)) (=> (tptp.m1_group_2 B A) (forall ((C $$unsorted)) (=> (tptp.m1_group_2 C A) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.v7_group_1 A) (tptp.l1_group_1 A)) (= (tptp.k7_group_4 A B C) (tptp.k7_group_4 A C B))))))))) (forall ((A $$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 $$unsorted)) (=> (tptp.m1_group_2 B A) (forall ((C $$unsorted)) (=> (tptp.m1_group_2 C A) (= (tptp.k8_group_4 A B C) (tptp.k5_group_4 A (tptp.k4_subset_1 (tptp.u1_struct_0 A) (tptp.k7_group_2 A B) (tptp.k7_group_2 A C)))))))))) 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 $$unsorted)) (=> (tptp.m1_group_2 C A) (forall ((D $$unsorted)) (=> (tptp.m1_group_2 D A) (= (tptp.r1_rlvect_1 (tptp.k8_group_4 A C D) B) (exists ((E $$unsorted)) (and (tptp.m2_finseq_1 E (tptp.u1_struct_0 A)) (exists ((F $$unsorted)) (and (tptp.m2_finseq_1 F tptp.k4_numbers) (= (tptp.k3_finseq_1 E) (tptp.k3_finseq_1 F)) (tptp.r1_tarski (tptp.k2_relat_1 E) (tptp.k4_subset_1 (tptp.u1_struct_0 A) (tptp.k7_group_2 A C) (tptp.k7_group_2 A D))) (= B (tptp.k3_group_4 A (tptp.k4_group_4 A F 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 $$unsorted)) (=> (tptp.m1_group_2 C A) (tptp.r1_group_2 A (tptp.k8_group_4 A B C) (tptp.k5_group_4 A (tptp.k7_group_4 A B C))))))))) (forall ((A $$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 $$unsorted)) (=> (tptp.m1_group_2 B A) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k7_group_4 A B C))) (=> (tptp.m1_group_2 C A) (=> (= _let_1 (tptp.k7_group_4 A C B)) (= (tptp.u1_struct_0 (tptp.k8_group_4 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 $$unsorted)) (=> (tptp.m1_group_2 C A) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.v7_group_1 A) (tptp.l1_group_1 A)) (= (tptp.u1_struct_0 (tptp.k8_group_4 A B C)) (tptp.k7_group_4 A B C))))))))) (forall ((A $$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 $$unsorted)) (=> (and (tptp.v1_group_1 B) (tptp.v1_group_3 B A) (tptp.m1_group_2 B A)) (forall ((C $$unsorted)) (=> (and (tptp.v1_group_1 C) (tptp.v1_group_3 C A) (tptp.m1_group_2 C A)) (= (tptp.u1_struct_0 (tptp.k8_group_4 A B C)) (tptp.k7_group_4 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 (tptp.v1_group_1 B) (tptp.v1_group_3 B A) (tptp.m1_group_2 B A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k8_group_4 A B C))) (=> (and (tptp.v1_group_1 C) (tptp.v1_group_3 C A) (tptp.m1_group_2 C A)) (and (tptp.v1_group_3 _let_1 A) (tptp.m1_group_2 _let_1 A))))))))) (forall ((A $$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 $$unsorted)) (=> (and (tptp.v1_group_1 B) (tptp.m1_group_2 B A)) (tptp.r1_group_2 A (tptp.k8_group_4 A B B) B))))) (forall ((A $$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 $$unsorted)) (=> (tptp.m1_group_2 B A) (forall ((C $$unsorted)) (=> (tptp.m1_group_2 C A) (tptp.r1_group_2 A (tptp.k8_group_4 A B C) (tptp.k8_group_4 A 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)) (=> (tptp.m1_group_2 B A) (forall ((C $$unsorted)) (=> (tptp.m1_group_2 C A) (forall ((D $$unsorted)) (=> (tptp.m1_group_2 D A) (tptp.r1_group_2 A (tptp.k8_group_4 A (tptp.k8_group_4 A B C) D) (tptp.k8_group_4 A B (tptp.k8_group_4 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)) (let ((_let_1 (tptp.k5_group_2 A))) (=> (and (tptp.v1_group_1 B) (tptp.m1_group_2 B A)) (and (tptp.r1_group_2 A (tptp.k8_group_4 A _let_1 B) B) (tptp.r1_group_2 A (tptp.k8_group_4 A B _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.k6_group_2 A))) (=> (tptp.m1_group_2 B A) (and (tptp.r1_group_2 A (tptp.k8_group_4 A _let_1 B) _let_1) (tptp.r1_group_2 A (tptp.k8_group_4 A B _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_group_2 B A) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k8_group_4 A B C))) (=> (tptp.m1_group_2 C A) (and (tptp.m1_group_2 B _let_1) (tptp.m1_group_2 C _let_1))))))))) (forall ((A $$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)) (=> (and (tptp.v1_group_1 C) (tptp.m1_group_2 C A)) (= (tptp.m1_group_2 B C) (tptp.r1_group_2 A (tptp.k8_group_4 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)) (=> (tptp.m1_group_2 B A) (forall ((C $$unsorted)) (=> (tptp.m1_group_2 C A) (forall ((D $$unsorted)) (=> (tptp.m1_group_2 D A) (=> (tptp.m1_group_2 B C) (tptp.m1_group_2 B (tptp.k8_group_4 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 $$unsorted)) (=> (tptp.m1_group_2 C A) (forall ((D $$unsorted)) (=> (and (tptp.v1_group_1 D) (tptp.m1_group_2 D A)) (=> (and (tptp.m1_group_2 B D) (tptp.m1_group_2 C D)) (tptp.m1_group_2 (tptp.k8_group_4 A 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_group_2 B A) (forall ((C $$unsorted)) (=> (and (tptp.v1_group_1 C) (tptp.m1_group_2 C A)) (forall ((D $$unsorted)) (=> (and (tptp.v1_group_1 D) (tptp.m1_group_2 D A)) (=> (tptp.m1_group_2 B D) (tptp.m1_group_2 (tptp.k8_group_4 A B C) (tptp.k8_group_4 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 $$unsorted)) (=> (tptp.m1_group_2 C A) (tptp.m1_group_2 (tptp.k9_group_2 A B C) (tptp.k8_group_4 A B C)))))))) (forall ((A $$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 $$unsorted)) (=> (tptp.m1_group_2 B A) (forall ((C $$unsorted)) (=> (and (tptp.v1_group_1 C) (tptp.m1_group_2 C A)) (tptp.r1_group_2 A (tptp.k8_group_4 A (tptp.k9_group_2 A B C) 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)) (=> (tptp.m1_group_2 B A) (forall ((C $$unsorted)) (=> (and (tptp.v1_group_1 C) (tptp.m1_group_2 C A)) (tptp.r1_group_2 A (tptp.k9_group_2 A C (tptp.k8_group_4 A C B)) C))))))) (forall ((A $$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 $$unsorted)) (=> (and (tptp.v1_group_1 B) (tptp.m1_group_2 B A)) (forall ((C $$unsorted)) (=> (and (tptp.v1_group_1 C) (tptp.m1_group_2 C A)) (= (tptp.r1_group_2 A (tptp.k8_group_4 A B C) C) (tptp.r1_group_2 A (tptp.k9_group_2 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)) (let ((_let_1 (tptp.k1_group_3 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_group_4 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_group_3 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_group_3 A)) (forall ((E $$unsorted)) (=> (tptp.m1_group_2 E A) (forall ((F $$unsorted)) (let ((_let_1 (tptp.k1_group_3 A))) (=> (tptp.m1_group_2 F A) (=> (and (= C E) (= D F)) (= (tptp.k2_binop_1 _let_1 _let_1 _let_1 B C D) (tptp.k8_group_4 A E F))))))))))))))))))) (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.k1_group_3 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.k10_group_4 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_group_3 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_group_3 A)) (forall ((E $$unsorted)) (=> (tptp.m1_group_2 E A) (forall ((F $$unsorted)) (let ((_let_1 (tptp.k1_group_3 A))) (=> (tptp.m1_group_2 F A) (=> (and (= C E) (= D F)) (= (tptp.k2_binop_1 _let_1 _let_1 _let_1 B C D) (tptp.k9_group_2 A E F))))))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (= (tptp.k11_group_4 A) (tptp.g3_lattices (tptp.k1_group_3 A) (tptp.k9_group_4 A) (tptp.k10_group_4 A))))) true true true true true (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (= (tptp.u1_struct_0 (tptp.k11_group_4 A)) (tptp.k1_group_3 A)))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (= (tptp.u2_lattices (tptp.k11_group_4 A)) (tptp.k9_group_4 A)))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (= (tptp.u1_lattices (tptp.k11_group_4 A)) (tptp.k10_group_4 A)))) true true true (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (= (tptp.k5_lattices (tptp.k11_group_4 A)) (tptp.k5_group_2 A)))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (= (tptp.k6_lattices (tptp.k11_group_4 A)) (tptp.k6_group_2 A)))) (exists ((A $$unsorted)) (and (tptp.r1_tarski A (tptp.k1_group_3 tptp.f1_s2_group_4)) (forall ((B $$unsorted)) (=> (and (tptp.v1_group_1 B) (tptp.m1_group_2 B tptp.f1_s2_group_4)) (= (tptp.r2_hidden B A) (tptp.p1_s2_group_4 B)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.m1_finseq_1 B A)) (tptp.m2_finseq_1 (tptp.k1_group_4 A B C) A))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.m1_finseq_1 B A)) (= (tptp.k1_group_4 A B C) (tptp.k1_finseq_3 B C)))) (forall ((A $$unsorted)) (=> (tptp.v1_int_1 A) (tptp.m1_subset_1 (tptp.k2_group_4 A) tptp.k4_numbers))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_group_1 A) (tptp.m1_finseq_1 B _let_1)) (tptp.m1_subset_1 (tptp.k3_group_4 A B) _let_1)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A) (tptp.m1_finseq_1 B tptp.k4_numbers) (tptp.m1_finseq_1 C _let_1)) (tptp.m2_finseq_1 (tptp.k4_group_4 A B C) _let_1)))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k5_group_4 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.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (and (tptp.v1_group_1 _let_1) (tptp.m1_group_2 _let_1 A))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k6_group_4 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (and (tptp.v1_group_1 _let_1) (tptp.m1_group_2 _let_1 A))))) (forall ((A $$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.m1_group_2 C A)) (tptp.m1_subset_1 (tptp.k7_group_4 A B C) (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k8_group_4 A B C))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A) (tptp.m1_group_2 B A) (tptp.m1_group_2 C A)) (and (tptp.v1_group_1 _let_1) (tptp.m1_group_2 _let_1 A))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k1_group_3 A))) (let ((_let_2 (tptp.k2_zfmisc_1 _let_1 _let_1))) (let ((_let_3 (tptp.k9_group_4 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_3) (tptp.v1_funct_2 _let_3 _let_2 _let_1) (tptp.m2_relset_1 _let_3 _let_2 _let_1))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k1_group_3 A))) (let ((_let_2 (tptp.k2_zfmisc_1 _let_1 _let_1))) (let ((_let_3 (tptp.k10_group_4 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (and (tptp.v1_funct_1 _let_3) (tptp.v1_funct_2 _let_3 _let_2 _let_1) (tptp.m2_relset_1 _let_3 _let_2 _let_1))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k11_group_4 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.v3_lattices _let_1) (tptp.v10_lattices _let_1) (tptp.l3_lattices _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.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (tptp.u1_struct_0 (tptp.k5_group_4 A B)) (tptp.k1_setfam_1 (tptp.a_2_0_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)) (let ((_let_1 (= B (tptp.k6_group_4 A)))) (=> (and (tptp.v1_group_1 B) (tptp.m1_group_2 B A)) (and (=> (exists ((C $$unsorted)) (and (tptp.v1_group_1 C) (tptp.m1_group_2 C A) (tptp.v2_group_4 C A))) (= _let_1 (= (tptp.u1_struct_0 B) (tptp.k1_setfam_1 (tptp.a_1_0_group_4 A))))) (=> (forall ((C $$unsorted)) (=> (and (tptp.v1_group_1 C) (tptp.m1_group_2 C A)) (not (tptp.v2_group_4 C A)))) (= _let_1 (= B (tptp.g1_group_1 (tptp.u1_struct_0 A) (tptp.u1_group_1 A))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v1_group_1 A) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (= (tptp.u1_struct_0 (tptp.k6_group_4 A)) (tptp.a_1_1_group_4 A)))) (=> (exists ((A $$unsorted)) (and (tptp.v1_group_1 A) (tptp.m1_group_2 A tptp.f1_s1_group_4) (tptp.p1_s1_group_4 A))) (exists ((A $$unsorted)) (and (tptp.v1_group_1 A) (tptp.m1_group_2 A tptp.f1_s1_group_4) (= (tptp.u1_struct_0 A) (tptp.k1_setfam_1 tptp.a_0_0_group_4))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_group_1 B) (tptp.v4_group_1 B) (tptp.l1_group_1 B) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B)))) (= (tptp.r2_hidden A (tptp.a_2_0_group_4 B C)) (exists ((D $$unsorted)) (and (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B))) (= A D) (exists ((E $$unsorted)) (and (tptp.v1_group_1 E) (tptp.m1_group_2 E B) (= D (tptp.u1_struct_0 E)) (tptp.r1_tarski C (tptp.k7_group_2 B E))))))))) (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_4 B)) (exists ((C $$unsorted)) (and (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B))) (= A C) (exists ((D $$unsorted)) (and (tptp.v1_group_1 D) (tptp.m1_group_2 D B) (= C (tptp.u1_struct_0 D)) (tptp.v2_group_4 D B)))))))) (forall ((A $$unsorted) (B $$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_hidden A (tptp.a_1_1_group_4 B)) (exists ((C $$unsorted)) (and (tptp.m1_subset_1 C (tptp.u1_struct_0 B)) (= A C) (not (tptp.v1_group_4 C B))))))) (forall ((A $$unsorted)) (= (tptp.r2_hidden A tptp.a_0_0_group_4) (exists ((B $$unsorted)) (and (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 tptp.f1_s1_group_4))) (= A B) (exists ((C $$unsorted)) (and (tptp.v1_group_1 C) (tptp.m1_group_2 C tptp.f1_s1_group_4) (= B (tptp.u1_struct_0 C)) (tptp.p1_s1_group_4 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 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (tptp.m1_connsp_2 C A B) (tptp.r2_hidden B (tptp.k1_tops_1 A C))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (tptp.m2_connsp_2 C A B) (tptp.r1_tarski B (tptp.k1_tops_1 A C))))))))) true 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)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 _let_1)) (=> (and (tptp.m1_connsp_2 C A B) (tptp.m1_connsp_2 D A B)) (tptp.m1_connsp_2 (tptp.k4_subset_1 _let_1 C D) 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)) (=> (tptp.m1_subset_1 B (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.u1_struct_0 A))) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 _let_1)) (= (and (tptp.m1_connsp_2 C A B) (tptp.m1_connsp_2 D A B)) (tptp.m1_connsp_2 (tptp.k5_subset_1 _let_1 C D) 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)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (=> (and (tptp.v3_pre_topc B A) (tptp.r2_hidden C B)) (tptp.m1_connsp_2 B A C)))))))) (forall ((A $$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.u1_struct_0 A)) (=> (tptp.m1_connsp_2 B A C) (tptp.r2_hidden 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)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (not (and (tptp.m1_connsp_2 C A B) (forall ((D $$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.m1_connsp_2 D A B) (tptp.v3_pre_topc D A) (tptp.r1_tarski 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)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (tptp.m1_connsp_2 C A B) (exists ((D $$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 C) (tptp.r2_hidden 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)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (tptp.v3_pre_topc B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (not (and (tptp.r2_hidden C B) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (not (and (tptp.m1_connsp_2 D A C) (tptp.r1_tarski D B)))))))))))))) (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)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (tptp.m2_connsp_2 C A (tptp.k1_struct_0 A B)) (tptp.m1_connsp_2 C A B)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 (tptp.k3_pre_topc A B))) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 (tptp.k3_pre_topc A B)))) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F (tptp.u1_struct_0 A)) (=> (and (tptp.v3_pre_topc B A) (tptp.m1_connsp_2 D (tptp.k3_pre_topc A B) C) (= D E) (= C F)) (tptp.m1_connsp_2 E A F)))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 (tptp.k3_pre_topc A B))) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 (tptp.k3_pre_topc A B)))) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F (tptp.u1_struct_0 A)) (=> (and (tptp.m1_connsp_2 E A F) (= D E) (= C F)) (tptp.m1_connsp_2 D (tptp.k3_pre_topc A B) C)))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (and (tptp.r3_connsp_1 A B) (tptp.r1_tarski B C)) (tptp.r4_connsp_1 A 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.m1_pre_topc 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)) (=> (= C D) (tptp.r1_tarski (tptp.k1_connsp_1 B D) (tptp.k1_connsp_1 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.u1_struct_0 A)) (= (tptp.r1_connsp_2 A B) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (not (and (tptp.m1_connsp_2 C A B) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (not (and (tptp.m1_connsp_2 D A B) (tptp.v2_connsp_1 D A) (tptp.r1_tarski D C)))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (= (tptp.v1_connsp_2 A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (tptp.r1_connsp_2 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)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (tptp.r2_connsp_2 A B C) (forall ((D $$unsorted)) (=> (and (not (tptp.v1_xboole_0 D)) (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (not (and (= B D) (forall ((E $$unsorted)) (let ((_let_1 (tptp.k3_pre_topc A D))) (=> (tptp.m1_subset_1 E (tptp.u1_struct_0 _let_1)) (not (and (= E C) (tptp.r1_connsp_2 _let_1 E))))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (= (tptp.v2_connsp_2 B A) (tptp.v1_connsp_2 (tptp.k3_pre_topc A B))))))) true true true true (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (= (tptp.r1_connsp_2 A B) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (and (tptp.m1_connsp_2 C A B) (tptp.r4_connsp_1 A C D) (tptp.r2_hidden B D)) (tptp.m1_connsp_2 D A B))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (= (tptp.r1_connsp_2 A B) (forall ((C $$unsorted)) (=> (and (not (tptp.v1_xboole_0 C)) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (not (and (tptp.v3_pre_topc C A) (tptp.r2_hidden B C) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k3_pre_topc A C))) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 _let_1)) (not (and (= D B) (tptp.r2_hidden B (tptp.k1_tops_1 _let_1 (tptp.k1_connsp_1 _let_1 D))))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (=> (tptp.v1_connsp_2 A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (tptp.r3_connsp_1 A B) (tptp.v3_pre_topc B A))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (=> (tptp.r1_connsp_2 A B) (forall ((C $$unsorted)) (=> (and (not (tptp.v1_xboole_0 C)) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (=> (and (tptp.v3_pre_topc C A) (tptp.r2_hidden B C)) (tptp.r2_connsp_2 A C B))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (=> (tptp.v1_connsp_2 A) (forall ((B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (=> (tptp.v3_pre_topc B A) (tptp.v2_connsp_2 B A))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (= (tptp.v1_connsp_2 A) (forall ((B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (and (tptp.v3_pre_topc B A) (tptp.r4_connsp_1 A B C)) (tptp.v3_pre_topc C A))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (=> (tptp.v1_connsp_2 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.k3_pre_topc A B))) (=> (and (not (tptp.v1_xboole_0 C)) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 _let_1)))) (not (and (tptp.v2_connsp_1 C _let_1) (tptp.v3_pre_topc C _let_1) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 _let_1)) (not (and (tptp.v3_pre_topc D A) (tptp.v2_connsp_1 D A) (= C (tptp.k5_subset_1 _let_1 B D))))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (= (tptp.v5_compts_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))) (not (and (not (= B tptp.k1_xboole_0)) (not (= C (tptp.k2_pre_topc A))) (tptp.r1_tarski B C) (tptp.v4_pre_topc B A) (tptp.v3_pre_topc C A) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (not (and (tptp.v3_pre_topc D A) (tptp.r1_tarski B D) (tptp.r1_tarski (tptp.k6_pre_topc A D) C)))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (=> (and (tptp.v1_connsp_2 A) (tptp.v5_compts_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))) (not (and (not (= B tptp.k1_xboole_0)) (not (= C tptp.k1_xboole_0)) (tptp.v4_pre_topc B A) (tptp.v4_pre_topc C A) (tptp.r1_xboole_0 B C) (tptp.v2_connsp_1 B A) (tptp.v2_connsp_1 C A) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (not (and (tptp.v2_connsp_1 D A) (tptp.v2_connsp_1 E A) (tptp.v3_pre_topc D A) (tptp.v3_pre_topc E A) (tptp.r1_tarski B D) (tptp.r1_tarski C E) (tptp.r1_xboole_0 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 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (not (and (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (tptp.r2_hidden D C) (and (tptp.v3_pre_topc D A) (tptp.v4_pre_topc D A) (tptp.r2_hidden B D))))) (= 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)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (= C (tptp.k1_connsp_2 A B)) (exists ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (and (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 _let_1))) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (tptp.r2_hidden E D) (and (tptp.v3_pre_topc E A) (tptp.v4_pre_topc E A) (tptp.r2_hidden B E))))) (= (tptp.k6_setfam_1 _let_1 D) C))))))))))) true (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (tptp.r2_hidden B (tptp.k1_connsp_2 A B)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k1_connsp_2 A B))) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (and (tptp.v3_pre_topc C A) (tptp.v4_pre_topc C A) (tptp.r2_hidden B C) (tptp.r1_tarski C _let_1)) (= C _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.u1_struct_0 A)) (tptp.v4_pre_topc (tptp.k1_connsp_2 A 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.u1_struct_0 A)) (tptp.r1_tarski (tptp.k1_connsp_1 A B) (tptp.k1_connsp_2 A B)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A) (tptp.m1_subset_1 B (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (=> (tptp.m1_connsp_2 C A B) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A) (tptp.m1_subset_1 B (tptp.u1_struct_0 A))) (exists ((C $$unsorted)) (tptp.m1_connsp_2 C A B)))) (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)))) (forall ((C $$unsorted)) (=> (tptp.m2_connsp_2 C A B) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.l1_pre_topc A) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (exists ((C $$unsorted)) (tptp.m2_connsp_2 C A B)))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 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 (tptp.k1_connsp_2 A B) (tptp.k1_zfmisc_1 _let_1))))) true true true true true true true true true true true true (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_vectsp_1 A) (tptp.v6_vectsp_1 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (= (tptp.k1_group_1 A B (tptp.k5_rlvect_1 A (tptp.k2_group_1 A))) (tptp.k5_rlvect_1 A B)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v5_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (= (tptp.k1_group_1 A (tptp.k5_rlvect_1 A (tptp.k2_group_1 A)) B) (tptp.k5_rlvect_1 A B)))))) true true true true true true true true true true (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v6_vectsp_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.v9_vectsp_1 A) (not (tptp.v10_vectsp_1 A)) (tptp.l3_vectsp_1 A)) (forall ((B $$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)))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v6_vectsp_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.v9_vectsp_1 A) (not (tptp.v10_vectsp_1 A)) (tptp.l3_vectsp_1 A)) (forall ((B $$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.k1_vectsp_2 A B) (tptp.k6_vectsp_1 A C B D)) D)))))))))) true true true true true true true true true true (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v6_vectsp_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v5_vectsp_2 B A) (tptp.l1_vectsp_2 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k1_rlvect_1 B))) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 B)) (and (= (tptp.k6_vectsp_2 A B (tptp.k1_rlvect_1 A) D) _let_1) (= (tptp.k6_vectsp_2 A B (tptp.k5_rlvect_1 A (tptp.k2_group_1 A)) D) (tptp.k5_rlvect_1 B D)) (= (tptp.k6_vectsp_2 A B C _let_1) _let_1))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v6_vectsp_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v5_vectsp_2 B A) (tptp.l1_vectsp_2 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 $$unsorted)) (let ((_let_1 (tptp.k6_vectsp_2 A B (tptp.k5_rlvect_1 A C) D))) (let ((_let_2 (tptp.k6_vectsp_2 A B C D))) (=> (tptp.m1_subset_1 E (tptp.u1_struct_0 B)) (and (= (tptp.k5_rlvect_1 B _let_2) _let_1) (= (tptp.k6_rlvect_1 B E _let_2) (tptp.k2_rlvect_1 B E _let_1))))))))))))))) (forall ((A $$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 $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v5_vectsp_2 B A) (tptp.l1_vectsp_2 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 B)) (= (tptp.k6_vectsp_2 A B C (tptp.k5_rlvect_1 B D)) (tptp.k5_rlvect_1 B (tptp.k6_vectsp_2 A B C D))))))))))) (forall ((A $$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 $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v5_vectsp_2 B A) (tptp.l1_vectsp_2 B A)) (forall ((C $$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_2 A B C (tptp.k6_rlvect_1 B D E)) (tptp.k6_rlvect_1 B (tptp.k6_vectsp_2 A B C D) (tptp.k6_vectsp_2 A B C E))))))))))))) true (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v6_vectsp_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.v9_vectsp_1 A) (not (tptp.v10_vectsp_1 A)) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.v4_rlvect_1 C) (tptp.v5_rlvect_1 C) (tptp.v6_rlvect_1 C) (tptp.v5_vectsp_2 C A) (tptp.l1_vectsp_2 C A)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k1_rlvect_1 C))) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 C)) (= (= (tptp.k6_vectsp_2 A C B D) _let_1) (or (= B (tptp.k1_rlvect_1 A)) (= D _let_1)))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v6_vectsp_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.v9_vectsp_1 A) (not (tptp.v10_vectsp_1 A)) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.v4_rlvect_1 C) (tptp.v5_rlvect_1 C) (tptp.v6_rlvect_1 C) (tptp.v5_vectsp_2 C A) (tptp.l1_vectsp_2 C A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 C)) (=> (not (= B (tptp.k1_rlvect_1 A))) (= (tptp.k6_vectsp_2 A C (tptp.k1_vectsp_2 A B) (tptp.k6_vectsp_2 A C B D)) D)))))))))) (forall ((A $$unsorted) (B $$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) (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.v5_vectsp_2 B A) (tptp.l1_vectsp_2 B A)) (exists ((C $$unsorted)) (and (tptp.m1_rmod_2 C A B) (not (tptp.v3_struct_0 C)) (tptp.v3_rlvect_1 C) (tptp.v4_rlvect_1 C) (tptp.v5_rlvect_1 C) (tptp.v6_rlvect_1 C) (tptp.v3_vectsp_2 C A) (tptp.v5_vectsp_2 C A))))) (forall ((A $$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.v6_vectsp_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v5_vectsp_2 B A) (tptp.l1_vectsp_2 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B))) (= (tptp.v1_rmod_2 C A B) (and (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)) (=> (and (tptp.r2_hidden D C) (tptp.r2_hidden E C)) (tptp.r2_hidden (tptp.k4_rlvect_1 B D E) C)))))) (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)) (=> (tptp.r2_hidden E C) (tptp.r2_hidden (tptp.k6_vectsp_2 A B D E) C)))))))))))))) true true true (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v6_vectsp_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v5_vectsp_2 B A) (tptp.l1_vectsp_2 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B))) (=> (tptp.v1_rmod_2 C A B) (or (= C tptp.k1_xboole_0) (tptp.r2_hidden (tptp.k1_rlvect_1 B) C))))))))) (forall ((A $$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.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 $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v5_vectsp_2 B A) (tptp.l1_vectsp_2 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B))) (=> (tptp.v1_rmod_2 C A B) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 B)) (=> (tptp.r2_hidden D C) (tptp.r2_hidden (tptp.k5_rlvect_1 B D) C))))))))))) (forall ((A $$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.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 $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v5_vectsp_2 B A) (tptp.l1_vectsp_2 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B))) (=> (tptp.v1_rmod_2 C A B) (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)) (=> (and (tptp.r2_hidden D C) (tptp.r2_hidden E C)) (tptp.r2_hidden (tptp.k6_rlvect_1 B D E) C))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v6_vectsp_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v5_vectsp_2 B A) (tptp.l1_vectsp_2 B A)) (tptp.v1_rmod_2 (tptp.k6_domain_1 (tptp.u1_struct_0 B) (tptp.k1_rlvect_1 B)) A B))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v6_vectsp_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v5_vectsp_2 B A) (tptp.l1_vectsp_2 B A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 _let_1)) (=> (= _let_1 C) (tptp.v1_rmod_2 C A B))))))))) (forall ((A $$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.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 $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v5_vectsp_2 B A) (tptp.l1_vectsp_2 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B))) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 _let_1)) (=> (and (tptp.v1_rmod_2 C A B) (tptp.v1_rmod_2 D A B)) (tptp.v1_rmod_2 (tptp.k5_subset_1 _let_1 C D) A B))))))))))) (forall ((A $$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.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 $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v5_vectsp_2 B A) (tptp.l1_vectsp_2 B A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 C))) (=> (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.v5_vectsp_2 C A) (tptp.l1_vectsp_2 C A)) (= (tptp.m1_rmod_2 C A B) (and (tptp.r1_tarski _let_1 (tptp.u1_struct_0 B)) (= (tptp.u2_struct_0 C) (tptp.u2_struct_0 B)) (= (tptp.u1_rlvect_1 C) (tptp.k7_relat_1 (tptp.u1_rlvect_1 B) (tptp.k2_zfmisc_1 _let_1 _let_1))) (= (tptp.u1_vectsp_2 A C) (tptp.k7_relat_1 (tptp.u1_vectsp_2 A B) (tptp.k2_zfmisc_1 _let_1 (tptp.u1_struct_0 A))))))))))))) true true true true true (forall ((A $$unsorted) (B $$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.v4_group_1 B) (tptp.v6_vectsp_1 B) (tptp.v7_vectsp_1 B) (tptp.v8_vectsp_1 B) (tptp.l3_vectsp_1 B)) (forall ((C $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.v3_rlvect_1 C) (tptp.v4_rlvect_1 C) (tptp.v5_rlvect_1 C) (tptp.v6_rlvect_1 C) (tptp.v5_vectsp_2 C B) (tptp.l1_vectsp_2 C B)) (forall ((D $$unsorted)) (=> (tptp.m1_rmod_2 D B C) (forall ((E $$unsorted)) (=> (tptp.m1_rmod_2 E B C) (=> (and (tptp.r1_rlvect_1 D A) (tptp.m1_rmod_2 D B E)) (tptp.r1_rlvect_1 E A)))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v4_group_1 B) (tptp.v6_vectsp_1 B) (tptp.v7_vectsp_1 B) (tptp.v8_vectsp_1 B) (tptp.l3_vectsp_1 B)) (forall ((C $$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.v5_vectsp_2 C B) (tptp.l1_vectsp_2 C B)) (forall ((D $$unsorted)) (=> (tptp.m1_rmod_2 D B C) (=> (tptp.r1_rlvect_1 D A) (tptp.r1_rlvect_1 C A)))))))) (forall ((A $$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.v6_vectsp_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v5_vectsp_2 B A) (tptp.l1_vectsp_2 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_rmod_2 C A B) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 C)) (tptp.m1_subset_1 D (tptp.u1_struct_0 B)))))))))) (forall ((A $$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.v6_vectsp_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v5_vectsp_2 B A) (tptp.l1_vectsp_2 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_rmod_2 C A B) (= (tptp.k1_rlvect_1 C) (tptp.k1_rlvect_1 B)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v6_vectsp_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v5_vectsp_2 B A) (tptp.l1_vectsp_2 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_rmod_2 C A B) (forall ((D $$unsorted)) (=> (tptp.m1_rmod_2 D A B) (= (tptp.k1_rlvect_1 C) (tptp.k1_rlvect_1 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.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v5_vectsp_2 B A) (tptp.l1_vectsp_2 B A)) (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)) (forall ((E $$unsorted)) (=> (tptp.m1_rmod_2 E A B) (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F (tptp.u1_struct_0 E)) (forall ((G $$unsorted)) (=> (tptp.m1_subset_1 G (tptp.u1_struct_0 E)) (=> (and (= F C) (= G D)) (= (tptp.k4_rlvect_1 E F G) (tptp.k4_rlvect_1 B C D))))))))))))))))) (forall ((A $$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 $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$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.v5_vectsp_2 C A) (tptp.l1_vectsp_2 C A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 C)) (forall ((E $$unsorted)) (=> (tptp.m1_rmod_2 E A C) (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F (tptp.u1_struct_0 E)) (=> (= F D) (= (tptp.k6_vectsp_2 A E B F) (tptp.k6_vectsp_2 A C B D))))))))))))))) (forall ((A $$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 $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v5_vectsp_2 B A) (tptp.l1_vectsp_2 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 B)) (forall ((D $$unsorted)) (=> (tptp.m1_rmod_2 D A B) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.u1_struct_0 D)) (=> (= E C) (= (tptp.k5_rlvect_1 B C) (tptp.k5_rlvect_1 D E))))))))))))) (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.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v5_vectsp_2 B A) (tptp.l1_vectsp_2 B A)) (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)) (forall ((E $$unsorted)) (=> (tptp.m1_rmod_2 E A B) (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F (tptp.u1_struct_0 E)) (forall ((G $$unsorted)) (=> (tptp.m1_subset_1 G (tptp.u1_struct_0 E)) (=> (and (= F C) (= G D)) (= (tptp.k6_rlvect_1 E F G) (tptp.k6_rlvect_1 B C D))))))))))))))))) (forall ((A $$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 $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v5_vectsp_2 B A) (tptp.l1_vectsp_2 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_rmod_2 C A B) (tptp.r1_rlvect_1 C (tptp.k1_rlvect_1 B)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v6_vectsp_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v5_vectsp_2 B A) (tptp.l1_vectsp_2 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_rmod_2 C A B) (forall ((D $$unsorted)) (=> (tptp.m1_rmod_2 D A B) (tptp.r1_rlvect_1 D (tptp.k1_rlvect_1 C)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v6_vectsp_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v5_vectsp_2 B A) (tptp.l1_vectsp_2 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_rmod_2 C A B) (tptp.r1_rlvect_1 B (tptp.k1_rlvect_1 C)))))))) (forall ((A $$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.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 $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v5_vectsp_2 B A) (tptp.l1_vectsp_2 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 B)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 B)) (forall ((E $$unsorted)) (=> (tptp.m1_rmod_2 E A B) (=> (and (tptp.r1_rlvect_1 E C) (tptp.r1_rlvect_1 E D)) (tptp.r1_rlvect_1 E (tptp.k4_rlvect_1 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)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.v3_rlvect_1 C) (tptp.v4_rlvect_1 C) (tptp.v5_rlvect_1 C) (tptp.v6_rlvect_1 C) (tptp.v5_vectsp_2 C A) (tptp.l1_vectsp_2 C A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 C)) (forall ((E $$unsorted)) (=> (tptp.m1_rmod_2 E A C) (=> (tptp.r1_rlvect_1 E D) (tptp.r1_rlvect_1 E (tptp.k6_vectsp_2 A C B D))))))))))))) (forall ((A $$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 $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v5_vectsp_2 B A) (tptp.l1_vectsp_2 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 B)) (forall ((D $$unsorted)) (=> (tptp.m1_rmod_2 D A B) (=> (tptp.r1_rlvect_1 D C) (tptp.r1_rlvect_1 D (tptp.k5_rlvect_1 B C))))))))))) (forall ((A $$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.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 $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v5_vectsp_2 B A) (tptp.l1_vectsp_2 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 B)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 B)) (forall ((E $$unsorted)) (=> (tptp.m1_rmod_2 E A B) (=> (and (tptp.r1_rlvect_1 E C) (tptp.r1_rlvect_1 E D)) (tptp.r1_rlvect_1 E (tptp.k6_rlvect_1 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.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v5_vectsp_2 B A) (tptp.l1_vectsp_2 B A)) (tptp.m1_rmod_2 B A B))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v6_vectsp_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v3_vectsp_2 B A) (tptp.v5_vectsp_2 B A) (tptp.l1_vectsp_2 B A)) (forall ((C $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.v3_rlvect_1 C) (tptp.v4_rlvect_1 C) (tptp.v5_rlvect_1 C) (tptp.v6_rlvect_1 C) (tptp.v3_vectsp_2 C A) (tptp.v5_vectsp_2 C A) (tptp.l1_vectsp_2 C A)) (=> (and (tptp.m1_rmod_2 C A B) (tptp.m1_rmod_2 B A C)) (= C B)))))))) (forall ((A $$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.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 $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v5_vectsp_2 B A) (tptp.l1_vectsp_2 B A)) (forall ((C $$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.v5_vectsp_2 C A) (tptp.l1_vectsp_2 C A)) (forall ((D $$unsorted)) (=> (and (not (tptp.v3_struct_0 D)) (tptp.v3_rlvect_1 D) (tptp.v4_rlvect_1 D) (tptp.v5_rlvect_1 D) (tptp.v6_rlvect_1 D) (tptp.v5_vectsp_2 D A) (tptp.l1_vectsp_2 D A)) (=> (and (tptp.m1_rmod_2 B A C) (tptp.m1_rmod_2 C A D)) (tptp.m1_rmod_2 B A D)))))))))) (forall ((A $$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 $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v5_vectsp_2 B A) (tptp.l1_vectsp_2 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_rmod_2 C A B) (forall ((D $$unsorted)) (=> (tptp.m1_rmod_2 D A B) (=> (tptp.r1_tarski (tptp.u1_struct_0 C) (tptp.u1_struct_0 D)) (tptp.m1_rmod_2 C A D)))))))))) (forall ((A $$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 $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v5_vectsp_2 B A) (tptp.l1_vectsp_2 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_rmod_2 C A B) (forall ((D $$unsorted)) (=> (tptp.m1_rmod_2 D A B) (=> (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.u1_struct_0 B)) (=> (tptp.r1_rlvect_1 C E) (tptp.r1_rlvect_1 D E)))) (tptp.m1_rmod_2 C A 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.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v5_vectsp_2 B A) (tptp.l1_vectsp_2 B A)) (forall ((C $$unsorted)) (=> (and (tptp.v3_vectsp_2 C A) (tptp.m1_rmod_2 C A B)) (forall ((D $$unsorted)) (=> (and (tptp.v3_vectsp_2 D A) (tptp.m1_rmod_2 D A B)) (=> (= (tptp.u1_struct_0 C) (tptp.u1_struct_0 D)) (= 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.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v5_vectsp_2 B A) (tptp.l1_vectsp_2 B A)) (forall ((C $$unsorted)) (=> (and (tptp.v3_vectsp_2 C A) (tptp.m1_rmod_2 C A B)) (forall ((D $$unsorted)) (=> (and (tptp.v3_vectsp_2 D A) (tptp.m1_rmod_2 D A B)) (=> (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.u1_struct_0 B)) (= (tptp.r1_rlvect_1 C E) (tptp.r1_rlvect_1 D E)))) (= C D)))))))))) (forall ((A $$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 $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v3_vectsp_2 B A) (tptp.v5_vectsp_2 B A) (tptp.l1_vectsp_2 B A)) (forall ((C $$unsorted)) (=> (and (tptp.v3_vectsp_2 C A) (tptp.m1_rmod_2 C A B)) (=> (= (tptp.u1_struct_0 C) (tptp.u1_struct_0 B)) (= C B)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v6_vectsp_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v3_vectsp_2 B A) (tptp.v5_vectsp_2 B A) (tptp.l1_vectsp_2 B A)) (forall ((C $$unsorted)) (=> (and (tptp.v3_vectsp_2 C A) (tptp.m1_rmod_2 C A B)) (=> (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 B)) (tptp.r1_rlvect_1 C D))) (= C B)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v6_vectsp_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v5_vectsp_2 B A) (tptp.l1_vectsp_2 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B))) (forall ((D $$unsorted)) (=> (tptp.m1_rmod_2 D A B) (=> (= (tptp.u1_struct_0 D) C) (tptp.v1_rmod_2 C A B)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v6_vectsp_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v5_vectsp_2 B A) (tptp.l1_vectsp_2 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B))) (not (and (not (= C tptp.k1_xboole_0)) (tptp.v1_rmod_2 C A B) (forall ((D $$unsorted)) (=> (and (tptp.v3_vectsp_2 D A) (tptp.m1_rmod_2 D A B)) (not (= C (tptp.u1_struct_0 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.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v5_vectsp_2 B A) (tptp.l1_vectsp_2 B A)) (forall ((C $$unsorted)) (=> (and (tptp.v3_vectsp_2 C A) (tptp.m1_rmod_2 C A B)) (= (= C (tptp.k1_rmod_2 A B)) (= (tptp.u1_struct_0 C) (tptp.k6_domain_1 (tptp.u1_struct_0 B) (tptp.k1_rlvect_1 B)))))))))) (forall ((A $$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.v6_vectsp_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v5_vectsp_2 B A) (tptp.l1_vectsp_2 B A)) (= (tptp.k2_rmod_2 A B) (tptp.g1_vectsp_2 A (tptp.u1_struct_0 B) (tptp.u1_rlvect_1 B) (tptp.u2_struct_0 B) (tptp.u1_vectsp_2 A B))))))) true true true (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v4_group_1 B) (tptp.v6_vectsp_1 B) (tptp.v7_vectsp_1 B) (tptp.v8_vectsp_1 B) (tptp.l3_vectsp_1 B)) (forall ((C $$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.v5_vectsp_2 C B) (tptp.l1_vectsp_2 C B)) (= (tptp.r1_rlvect_1 (tptp.k1_rmod_2 B C) A) (= A (tptp.k1_rlvect_1 C))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v6_vectsp_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v5_vectsp_2 B A) (tptp.l1_vectsp_2 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_rmod_2 C A B) (= (tptp.k1_rmod_2 A C) (tptp.k1_rmod_2 A B)))))))) (forall ((A $$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.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 $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v5_vectsp_2 B A) (tptp.l1_vectsp_2 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_rmod_2 C A B) (forall ((D $$unsorted)) (=> (tptp.m1_rmod_2 D A B) (= (tptp.k1_rmod_2 A C) (tptp.k1_rmod_2 A D)))))))))) (forall ((A $$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 $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v5_vectsp_2 B A) (tptp.l1_vectsp_2 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_rmod_2 C A B) (tptp.m1_rmod_2 (tptp.k1_rmod_2 A C) A B))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v6_vectsp_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v5_vectsp_2 B A) (tptp.l1_vectsp_2 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_rmod_2 C A B) (tptp.m1_rmod_2 (tptp.k1_rmod_2 A B) A C))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.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 $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v5_vectsp_2 B A) (tptp.l1_vectsp_2 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_rmod_2 C A B) (forall ((D $$unsorted)) (=> (tptp.m1_rmod_2 D A B) (tptp.m1_rmod_2 (tptp.k1_rmod_2 A C) A D))))))))) true (forall ((A $$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.v6_vectsp_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v3_vectsp_2 B A) (tptp.v5_vectsp_2 B A) (tptp.l1_vectsp_2 B A)) (tptp.m1_rmod_2 B A (tptp.k2_rmod_2 A B)))))) (forall ((A $$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.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 $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v5_vectsp_2 B A) (tptp.l1_vectsp_2 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_rmod_2 C A B) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B))) (= (tptp.m2_rmod_2 D A B C) (exists ((E $$unsorted)) (and (tptp.m1_subset_1 E (tptp.u1_struct_0 B)) (= D (tptp.k3_rmod_2 A B E C))))))))))))) true true true (forall ((A $$unsorted) (B $$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.v4_group_1 B) (tptp.v6_vectsp_1 B) (tptp.v7_vectsp_1 B) (tptp.v8_vectsp_1 B) (tptp.l3_vectsp_1 B)) (forall ((C $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.v3_rlvect_1 C) (tptp.v4_rlvect_1 C) (tptp.v5_rlvect_1 C) (tptp.v6_rlvect_1 C) (tptp.v5_vectsp_2 C B) (tptp.l1_vectsp_2 C B)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 C)) (forall ((E $$unsorted)) (=> (tptp.m1_rmod_2 E B C) (= (tptp.r2_hidden A (tptp.k3_rmod_2 B C D E)) (exists ((F $$unsorted)) (and (tptp.m1_subset_1 F (tptp.u1_struct_0 C)) (tptp.r1_rlvect_1 E F) (= A (tptp.k4_rlvect_1 C D F))))))))))))) (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.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v5_vectsp_2 B A) (tptp.l1_vectsp_2 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 B)) (forall ((D $$unsorted)) (=> (tptp.m1_rmod_2 D A B) (= (tptp.r2_hidden (tptp.k1_rlvect_1 B) (tptp.k3_rmod_2 A B C D)) (tptp.r1_rlvect_1 D C)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v6_vectsp_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v5_vectsp_2 B A) (tptp.l1_vectsp_2 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 B)) (forall ((D $$unsorted)) (=> (tptp.m1_rmod_2 D A B) (tptp.r2_hidden C (tptp.k3_rmod_2 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.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v5_vectsp_2 B A) (tptp.l1_vectsp_2 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_rmod_2 C A B) (= (tptp.k3_rmod_2 A B (tptp.k1_rlvect_1 B) C) (tptp.u1_struct_0 C)))))))) (forall ((A $$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.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 $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v5_vectsp_2 B A) (tptp.l1_vectsp_2 B A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (=> (tptp.m1_subset_1 C _let_1) (= (tptp.k3_rmod_2 A B C (tptp.k1_rmod_2 A B)) (tptp.k6_domain_1 _let_1 C))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v6_vectsp_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v5_vectsp_2 B A) (tptp.l1_vectsp_2 B A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (=> (tptp.m1_subset_1 C _let_1) (= (tptp.k3_rmod_2 A B C (tptp.k2_rmod_2 A B)) _let_1)))))))) (forall ((A $$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.v6_vectsp_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v5_vectsp_2 B A) (tptp.l1_vectsp_2 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 B)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k3_rmod_2 A B C D))) (=> (tptp.m1_rmod_2 D A B) (= (tptp.r2_hidden (tptp.k1_rlvect_1 B) _let_1) (= _let_1 (tptp.u1_struct_0 D)))))))))))) (forall ((A $$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 $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v5_vectsp_2 B A) (tptp.l1_vectsp_2 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 B)) (forall ((D $$unsorted)) (=> (tptp.m1_rmod_2 D A B) (= (tptp.r1_rlvect_1 D C) (= (tptp.k3_rmod_2 A B C D) (tptp.u1_struct_0 D))))))))))) (forall ((A $$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 $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$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.v5_vectsp_2 C A) (tptp.l1_vectsp_2 C A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 C)) (forall ((E $$unsorted)) (=> (tptp.m1_rmod_2 E A C) (=> (tptp.r1_rlvect_1 E D) (= (tptp.k3_rmod_2 A C (tptp.k6_vectsp_2 A C B D) E) (tptp.u1_struct_0 E))))))))))))) (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.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v5_vectsp_2 B A) (tptp.l1_vectsp_2 B A)) (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)) (forall ((E $$unsorted)) (=> (tptp.m1_rmod_2 E A B) (= (tptp.r1_rlvect_1 E C) (= (tptp.k3_rmod_2 A B D E) (tptp.k3_rmod_2 A B (tptp.k4_rlvect_1 B D C) E))))))))))))) (forall ((A $$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 $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v5_vectsp_2 B A) (tptp.l1_vectsp_2 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 B)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 B)) (forall ((E $$unsorted)) (=> (tptp.m1_rmod_2 E A B) (= (tptp.r1_rlvect_1 E C) (= (tptp.k3_rmod_2 A B D E) (tptp.k3_rmod_2 A B (tptp.k6_rlvect_1 B D C) E))))))))))))) (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.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v5_vectsp_2 B A) (tptp.l1_vectsp_2 B A)) (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)) (forall ((E $$unsorted)) (let ((_let_1 (tptp.k3_rmod_2 A B D E))) (=> (tptp.m1_rmod_2 E A B) (= (tptp.r2_hidden C _let_1) (= _let_1 (tptp.k3_rmod_2 A B C E)))))))))))))) (forall ((A $$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 $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v5_vectsp_2 B A) (tptp.l1_vectsp_2 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 B)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 B)) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.u1_struct_0 B)) (forall ((F $$unsorted)) (let ((_let_1 (tptp.k3_rmod_2 A B E F))) (let ((_let_2 (tptp.k3_rmod_2 A B D F))) (=> (tptp.m1_rmod_2 F A B) (=> (and (tptp.r2_hidden C _let_2) (tptp.r2_hidden C _let_1)) (= _let_2 _let_1)))))))))))))))) (forall ((A $$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 $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$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.v5_vectsp_2 C A) (tptp.l1_vectsp_2 C A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 C)) (forall ((E $$unsorted)) (=> (tptp.m1_rmod_2 E A C) (=> (tptp.r1_rlvect_1 E D) (tptp.r2_hidden (tptp.k6_vectsp_2 A C B D) (tptp.k3_rmod_2 A C D E))))))))))))) (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.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v5_vectsp_2 B A) (tptp.l1_vectsp_2 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 B)) (forall ((D $$unsorted)) (=> (tptp.m1_rmod_2 D A B) (=> (tptp.r1_rlvect_1 D C) (tptp.r2_hidden (tptp.k5_rlvect_1 B C) (tptp.k3_rmod_2 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.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v5_vectsp_2 B A) (tptp.l1_vectsp_2 B A)) (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)) (forall ((E $$unsorted)) (=> (tptp.m1_rmod_2 E A B) (= (tptp.r2_hidden (tptp.k4_rlvect_1 B C D) (tptp.k3_rmod_2 A B D E)) (tptp.r1_rlvect_1 E C)))))))))))) (forall ((A $$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.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 $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v5_vectsp_2 B A) (tptp.l1_vectsp_2 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 B)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 B)) (forall ((E $$unsorted)) (=> (tptp.m1_rmod_2 E A B) (= (tptp.r2_hidden (tptp.k6_rlvect_1 B C D) (tptp.k3_rmod_2 A B C E)) (tptp.r1_rlvect_1 E D)))))))))))) true (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v6_vectsp_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v5_vectsp_2 B A) (tptp.l1_vectsp_2 B A)) (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)) (forall ((E $$unsorted)) (=> (tptp.m1_rmod_2 E A B) (= (tptp.r2_hidden C (tptp.k3_rmod_2 A B D E)) (exists ((F $$unsorted)) (and (tptp.m1_subset_1 F (tptp.u1_struct_0 B)) (tptp.r1_rlvect_1 E F) (= C (tptp.k6_rlvect_1 B D F))))))))))))))) (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.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v5_vectsp_2 B A) (tptp.l1_vectsp_2 B A)) (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)) (forall ((E $$unsorted)) (=> (tptp.m1_rmod_2 E A B) (= (exists ((F $$unsorted)) (let ((_let_1 (tptp.k3_rmod_2 A B F E))) (and (tptp.m1_subset_1 F (tptp.u1_struct_0 B)) (tptp.r2_hidden C _let_1) (tptp.r2_hidden D _let_1)))) (tptp.r1_rlvect_1 E (tptp.k6_rlvect_1 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.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v5_vectsp_2 B A) (tptp.l1_vectsp_2 B A)) (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)) (forall ((E $$unsorted)) (=> (tptp.m1_rmod_2 E A B) (not (and (= (tptp.k3_rmod_2 A B C E) (tptp.k3_rmod_2 A B D E)) (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F (tptp.u1_struct_0 B)) (not (and (tptp.r1_rlvect_1 E F) (= (tptp.k4_rlvect_1 B C F) 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.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v5_vectsp_2 B A) (tptp.l1_vectsp_2 B A)) (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)) (forall ((E $$unsorted)) (=> (tptp.m1_rmod_2 E A B) (not (and (= (tptp.k3_rmod_2 A B C E) (tptp.k3_rmod_2 A B D E)) (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F (tptp.u1_struct_0 B)) (not (and (tptp.r1_rlvect_1 E F) (= (tptp.k6_rlvect_1 B C F) 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.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v5_vectsp_2 B A) (tptp.l1_vectsp_2 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 B)) (forall ((D $$unsorted)) (=> (and (tptp.v3_vectsp_2 D A) (tptp.m1_rmod_2 D A B)) (forall ((E $$unsorted)) (=> (and (tptp.v3_vectsp_2 E A) (tptp.m1_rmod_2 E A B)) (= (= (tptp.k3_rmod_2 A B C D) (tptp.k3_rmod_2 A B C E)) (= D E)))))))))))) (forall ((A $$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 $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v5_vectsp_2 B A) (tptp.l1_vectsp_2 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 B)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 B)) (forall ((E $$unsorted)) (=> (and (tptp.v3_vectsp_2 E A) (tptp.m1_rmod_2 E A B)) (forall ((F $$unsorted)) (=> (and (tptp.v3_vectsp_2 F A) (tptp.m1_rmod_2 F A B)) (=> (= (tptp.k3_rmod_2 A B C E) (tptp.k3_rmod_2 A B D F)) (= E F)))))))))))))) (forall ((A $$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 $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v5_vectsp_2 B A) (tptp.l1_vectsp_2 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 B)) (forall ((D $$unsorted)) (=> (tptp.m1_rmod_2 D A B) (exists ((E $$unsorted)) (and (tptp.m2_rmod_2 E A B D) (tptp.r2_hidden C E))))))))))) (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.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v5_vectsp_2 B A) (tptp.l1_vectsp_2 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_rmod_2 C A B) (forall ((D $$unsorted)) (=> (tptp.m2_rmod_2 D A B C) (= (tptp.v1_rmod_2 D A B) (= D (tptp.u1_struct_0 C))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v6_vectsp_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v5_vectsp_2 B A) (tptp.l1_vectsp_2 B A)) (forall ((C $$unsorted)) (=> (and (tptp.v3_vectsp_2 C A) (tptp.m1_rmod_2 C A B)) (forall ((D $$unsorted)) (=> (and (tptp.v3_vectsp_2 D A) (tptp.m1_rmod_2 D A B)) (forall ((E $$unsorted)) (=> (tptp.m2_rmod_2 E A B C) (forall ((F $$unsorted)) (=> (tptp.m2_rmod_2 F A B D) (=> (= E F) (= 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.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v5_vectsp_2 B A) (tptp.l1_vectsp_2 B A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (=> (tptp.m1_subset_1 C _let_1) (tptp.m2_rmod_2 (tptp.k6_domain_1 _let_1 C) A B (tptp.k1_rmod_2 A B))))))))) (forall ((A $$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.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 $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v5_vectsp_2 B A) (tptp.l1_vectsp_2 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B))) (not (and (tptp.m2_rmod_2 C A B (tptp.k1_rmod_2 A B)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (=> (tptp.m1_subset_1 D _let_1) (not (= C (tptp.k6_domain_1 _let_1 D)))))))))))))) (forall ((A $$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 $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v5_vectsp_2 B A) (tptp.l1_vectsp_2 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_rmod_2 C A B) (tptp.m2_rmod_2 (tptp.u1_struct_0 C) A B C))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v6_vectsp_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v5_vectsp_2 B A) (tptp.l1_vectsp_2 B A)) (tptp.m2_rmod_2 (tptp.u1_struct_0 B) A B (tptp.k2_rmod_2 A B)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v6_vectsp_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v5_vectsp_2 B A) (tptp.l1_vectsp_2 B A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 _let_1)) (=> (tptp.m2_rmod_2 C A B (tptp.k2_rmod_2 A B)) (= C _let_1))))))))) (forall ((A $$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.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 $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v5_vectsp_2 B A) (tptp.l1_vectsp_2 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_rmod_2 C A B) (forall ((D $$unsorted)) (=> (tptp.m2_rmod_2 D A B C) (= (tptp.r2_hidden (tptp.k1_rlvect_1 B) D) (= D (tptp.u1_struct_0 C))))))))))) (forall ((A $$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.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 $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v5_vectsp_2 B A) (tptp.l1_vectsp_2 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 B)) (forall ((D $$unsorted)) (=> (tptp.m1_rmod_2 D A B) (forall ((E $$unsorted)) (=> (tptp.m2_rmod_2 E A B D) (= (tptp.r2_hidden C E) (= E (tptp.k3_rmod_2 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.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v5_vectsp_2 B A) (tptp.l1_vectsp_2 B A)) (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)) (forall ((E $$unsorted)) (=> (tptp.m1_rmod_2 E A B) (forall ((F $$unsorted)) (=> (tptp.m2_rmod_2 F A B E) (not (and (tptp.r2_hidden C F) (tptp.r2_hidden D F) (forall ((G $$unsorted)) (=> (tptp.m1_subset_1 G (tptp.u1_struct_0 B)) (not (and (tptp.r1_rlvect_1 E G) (= (tptp.k4_rlvect_1 B C G) D))))))))))))))))))) (forall ((A $$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 $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v5_vectsp_2 B A) (tptp.l1_vectsp_2 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 B)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 B)) (forall ((E $$unsorted)) (=> (tptp.m1_rmod_2 E A B) (forall ((F $$unsorted)) (=> (tptp.m2_rmod_2 F A B E) (not (and (tptp.r2_hidden C F) (tptp.r2_hidden D F) (forall ((G $$unsorted)) (=> (tptp.m1_subset_1 G (tptp.u1_struct_0 B)) (not (and (tptp.r1_rlvect_1 E G) (= (tptp.k6_rlvect_1 B C G) 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.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v5_vectsp_2 B A) (tptp.l1_vectsp_2 B A)) (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)) (forall ((E $$unsorted)) (=> (tptp.m1_rmod_2 E A B) (= (exists ((F $$unsorted)) (and (tptp.m2_rmod_2 F A B E) (tptp.r2_hidden C F) (tptp.r2_hidden D F))) (tptp.r1_rlvect_1 E (tptp.k6_rlvect_1 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.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v5_vectsp_2 B A) (tptp.l1_vectsp_2 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 B)) (forall ((D $$unsorted)) (=> (tptp.m1_rmod_2 D A B) (forall ((E $$unsorted)) (=> (tptp.m2_rmod_2 E A B D) (forall ((F $$unsorted)) (=> (tptp.m2_rmod_2 F A B D) (=> (and (tptp.r2_hidden C E) (tptp.r2_hidden C F)) (= E F)))))))))))))) (forall ((A $$unsorted) (B $$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) (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.v5_vectsp_2 B A) (tptp.l1_vectsp_2 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_rmod_2 C A B) (and (not (tptp.v3_struct_0 C)) (tptp.v3_rlvect_1 C) (tptp.v4_rlvect_1 C) (tptp.v5_rlvect_1 C) (tptp.v6_rlvect_1 C) (tptp.v5_vectsp_2 C A) (tptp.l1_vectsp_2 C A)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v6_vectsp_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A) (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v5_vectsp_2 B A) (tptp.l1_vectsp_2 B A)) (exists ((C $$unsorted)) (tptp.m1_rmod_2 C A B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v6_vectsp_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A) (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v5_vectsp_2 B A) (tptp.l1_vectsp_2 B A) (tptp.m1_rmod_2 C A B)) (forall ((D $$unsorted)) (=> (tptp.m2_rmod_2 D A B C) (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v6_vectsp_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A) (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v5_vectsp_2 B A) (tptp.l1_vectsp_2 B A) (tptp.m1_rmod_2 C A B)) (exists ((D $$unsorted)) (tptp.m2_rmod_2 D A B C)))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k1_rmod_2 A B))) (=> (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) (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.v5_vectsp_2 B A) (tptp.l1_vectsp_2 B A)) (and (tptp.v3_vectsp_2 _let_1 A) (tptp.m1_rmod_2 _let_1 A B))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k2_rmod_2 A B))) (=> (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) (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.v5_vectsp_2 B A) (tptp.l1_vectsp_2 B A)) (and (tptp.v3_vectsp_2 _let_1 A) (tptp.m1_rmod_2 _let_1 A B))))) (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.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) (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.v5_vectsp_2 B A) (tptp.l1_vectsp_2 B A) (tptp.m1_subset_1 C _let_1) (tptp.m1_rmod_2 D A B)) (tptp.m1_subset_1 (tptp.k3_rmod_2 A B C D) (tptp.k1_zfmisc_1 _let_1))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v6_vectsp_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v5_vectsp_2 B A) (tptp.l1_vectsp_2 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B))) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B))) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B))) (=> (and (tptp.v1_rmod_2 C A B) (tptp.v1_rmod_2 D A B) (= E (tptp.a_4_0_rmod_2 A B C D))) (tptp.v1_rmod_2 E A B)))))))))))) (forall ((A $$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.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 $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v5_vectsp_2 B A) (tptp.l1_vectsp_2 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 B)) (forall ((D $$unsorted)) (=> (tptp.m1_rmod_2 D A B) (= (tptp.k3_rmod_2 A B C D) (tptp.a_4_1_rmod_2 A B C D)))))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 C)))) (=> (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.v4_group_1 B) (tptp.v6_vectsp_1 B) (tptp.v7_vectsp_1 B) (tptp.v8_vectsp_1 B) (tptp.l3_vectsp_1 B) (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.v5_vectsp_2 C B) (tptp.l1_vectsp_2 C B) (tptp.m1_subset_1 D _let_1) (tptp.m1_subset_1 E _let_1)) (= (tptp.r2_hidden A (tptp.a_4_0_rmod_2 B C D E)) (exists ((F $$unsorted) (G $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 C))) (and (tptp.m1_subset_1 F _let_1) (tptp.m1_subset_1 G _let_1) (= A (tptp.k4_rlvect_1 C F G)) (tptp.r2_hidden F D) (tptp.r2_hidden G E)))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v4_group_1 B) (tptp.v6_vectsp_1 B) (tptp.v7_vectsp_1 B) (tptp.v8_vectsp_1 B) (tptp.l3_vectsp_1 B) (not (tptp.v3_struct_0 C)) (tptp.v3_rlvect_1 C) (tptp.v4_rlvect_1 C) (tptp.v5_rlvect_1 C) (tptp.v6_rlvect_1 C) (tptp.v5_vectsp_2 C B) (tptp.l1_vectsp_2 C B) (tptp.m1_subset_1 D (tptp.u1_struct_0 C)) (tptp.m1_rmod_2 E B C)) (= (tptp.r2_hidden A (tptp.a_4_1_rmod_2 B C D E)) (exists ((F $$unsorted)) (and (tptp.m1_subset_1 F (tptp.u1_struct_0 C)) (= A (tptp.k4_rlvect_1 C D F)) (tptp.r1_rlvect_1 E F)))))) (forall ((A $$unsorted) (B $$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) (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.v5_vectsp_2 B A) (tptp.l1_vectsp_2 B A)) (not (tptp.v1_xboole_0 (tptp.k3_rmod_3 A B))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v6_vectsp_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v5_vectsp_2 B A) (tptp.l1_vectsp_2 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_rmod_2 C A B) (forall ((D $$unsorted)) (=> (tptp.m1_rmod_2 D A B) (forall ((E $$unsorted)) (=> (and (tptp.v3_vectsp_2 E A) (tptp.m1_rmod_2 E A B)) (= (= E (tptp.k2_rmod_3 A B C D)) (= (tptp.u1_struct_0 E) (tptp.k3_xboole_0 (tptp.u1_struct_0 C) (tptp.u1_struct_0 D)))))))))))))) true true true true (forall ((A $$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.v6_vectsp_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v5_vectsp_2 B A) (tptp.l1_vectsp_2 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_rmod_2 C A B) (forall ((D $$unsorted)) (=> (tptp.m1_rmod_2 D A B) (forall ((E $$unsorted)) (= (tptp.r1_rlvect_1 (tptp.k1_rmod_3 A B C D) 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.r1_rlvect_1 C F) (tptp.r1_rlvect_1 D G) (= E (tptp.k4_rlvect_1 B F G)))))))))))))))) (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.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v5_vectsp_2 B A) (tptp.l1_vectsp_2 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_rmod_2 C A B) (forall ((D $$unsorted)) (=> (tptp.m1_rmod_2 D A B) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.u1_struct_0 B)) (=> (or (tptp.r1_rlvect_1 C E) (tptp.r1_rlvect_1 D E)) (tptp.r1_rlvect_1 (tptp.k1_rmod_3 A B C D) E)))))))))))) (forall ((A $$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 $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v5_vectsp_2 B A) (tptp.l1_vectsp_2 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_rmod_2 C A B) (forall ((D $$unsorted)) (=> (tptp.m1_rmod_2 D A B) (forall ((E $$unsorted)) (= (tptp.r1_rlvect_1 (tptp.k2_rmod_3 A B C D) E) (and (tptp.r1_rlvect_1 C E) (tptp.r1_rlvect_1 D E)))))))))))) (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.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v5_vectsp_2 B A) (tptp.l1_vectsp_2 B A)) (forall ((C $$unsorted)) (=> (and (tptp.v3_vectsp_2 C A) (tptp.m1_rmod_2 C A B)) (= (tptp.k1_rmod_3 A B C C) C))))))) (forall ((A $$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.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 $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v5_vectsp_2 B A) (tptp.l1_vectsp_2 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_rmod_2 C A B) (forall ((D $$unsorted)) (=> (tptp.m1_rmod_2 D A B) (= (tptp.k1_rmod_3 A B C D) (tptp.k1_rmod_3 A B D C)))))))))) (forall ((A $$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.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 $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v5_vectsp_2 B A) (tptp.l1_vectsp_2 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_rmod_2 C A B) (forall ((D $$unsorted)) (=> (tptp.m1_rmod_2 D A B) (forall ((E $$unsorted)) (=> (tptp.m1_rmod_2 E A B) (= (tptp.k1_rmod_3 A B C (tptp.k1_rmod_3 A B D E)) (tptp.k1_rmod_3 A B (tptp.k1_rmod_3 A B C D) E)))))))))))) (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.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v5_vectsp_2 B A) (tptp.l1_vectsp_2 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_rmod_2 C A B) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k1_rmod_3 A B C D))) (=> (tptp.m1_rmod_2 D A B) (and (tptp.m1_rmod_2 C A _let_1) (tptp.m1_rmod_2 D A _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.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v5_vectsp_2 B A) (tptp.l1_vectsp_2 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_rmod_2 C A B) (forall ((D $$unsorted)) (=> (and (tptp.v3_vectsp_2 D A) (tptp.m1_rmod_2 D A B)) (= (tptp.m1_rmod_2 C A D) (= (tptp.k1_rmod_3 A B C D) D)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v6_vectsp_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v5_vectsp_2 B A) (tptp.l1_vectsp_2 B A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k1_rmod_2 A B))) (=> (and (tptp.v3_vectsp_2 C A) (tptp.m1_rmod_2 C A B)) (and (= (tptp.k1_rmod_3 A B _let_1 C) C) (= (tptp.k1_rmod_3 A B C _let_1) C))))))))) (forall ((A $$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.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 $$unsorted)) (let ((_let_1 (tptp.k1_rmod_2 A B))) (let ((_let_2 (tptp.k2_rmod_2 A B))) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v3_vectsp_2 B A) (tptp.v5_vectsp_2 B A) (tptp.l1_vectsp_2 B A)) (and (= (tptp.k1_rmod_3 A B _let_1 _let_2) B) (= (tptp.k1_rmod_3 A B _let_2 _let_1) B)))))))) (forall ((A $$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.v6_vectsp_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v5_vectsp_2 B A) (tptp.l1_vectsp_2 B A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.g1_vectsp_2 A (tptp.u1_struct_0 B) (tptp.u1_rlvect_1 B) (tptp.u2_struct_0 B) (tptp.u1_vectsp_2 A B)))) (let ((_let_2 (tptp.k2_rmod_2 A B))) (=> (tptp.m1_rmod_2 C A B) (and (= (tptp.k1_rmod_3 A B _let_2 C) _let_1) (= (tptp.k1_rmod_3 A B C _let_2) _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)) (let ((_let_1 (tptp.k2_rmod_2 A B))) (=> (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.v3_vectsp_2 B A) (tptp.v5_vectsp_2 B A) (tptp.l1_vectsp_2 B A)) (= (tptp.k1_rmod_3 A B _let_1 _let_1) B)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v6_vectsp_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v5_vectsp_2 B A) (tptp.l1_vectsp_2 B A)) (forall ((C $$unsorted)) (=> (and (tptp.v3_vectsp_2 C A) (tptp.m1_rmod_2 C A B)) (= (tptp.k2_rmod_3 A B C C) C))))))) (forall ((A $$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.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 $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v5_vectsp_2 B A) (tptp.l1_vectsp_2 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_rmod_2 C A B) (forall ((D $$unsorted)) (=> (tptp.m1_rmod_2 D A B) (= (tptp.k2_rmod_3 A B C D) (tptp.k2_rmod_3 A B D C)))))))))) (forall ((A $$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.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 $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v5_vectsp_2 B A) (tptp.l1_vectsp_2 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_rmod_2 C A B) (forall ((D $$unsorted)) (=> (tptp.m1_rmod_2 D A B) (forall ((E $$unsorted)) (=> (tptp.m1_rmod_2 E A B) (= (tptp.k2_rmod_3 A B C (tptp.k2_rmod_3 A B D E)) (tptp.k2_rmod_3 A B (tptp.k2_rmod_3 A B C D) E)))))))))))) (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.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v5_vectsp_2 B A) (tptp.l1_vectsp_2 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_rmod_2 C A B) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k2_rmod_3 A B C D))) (=> (tptp.m1_rmod_2 D A B) (and (tptp.m1_rmod_2 _let_1 A C) (tptp.m1_rmod_2 _let_1 A 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.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v5_vectsp_2 B A) (tptp.l1_vectsp_2 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_rmod_2 C A B) (and (forall ((D $$unsorted)) (=> (and (tptp.v3_vectsp_2 D A) (tptp.m1_rmod_2 D A B)) (=> (tptp.m1_rmod_2 D A C) (= (tptp.k2_rmod_3 A B D C) D)))) (forall ((D $$unsorted)) (=> (tptp.m1_rmod_2 D A B) (=> (= (tptp.k2_rmod_3 A B D C) D) (tptp.m1_rmod_2 D A C))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.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 $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v5_vectsp_2 B A) (tptp.l1_vectsp_2 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_rmod_2 C A B) (forall ((D $$unsorted)) (=> (tptp.m1_rmod_2 D A B) (forall ((E $$unsorted)) (=> (tptp.m1_rmod_2 E A B) (=> (tptp.m1_rmod_2 C A D) (tptp.m1_rmod_2 (tptp.k2_rmod_3 A B C E) A (tptp.k2_rmod_3 A B D E))))))))))))) (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.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v5_vectsp_2 B A) (tptp.l1_vectsp_2 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_rmod_2 C A B) (forall ((D $$unsorted)) (=> (tptp.m1_rmod_2 D A B) (forall ((E $$unsorted)) (=> (tptp.m1_rmod_2 E A B) (=> (tptp.m1_rmod_2 C A D) (tptp.m1_rmod_2 (tptp.k2_rmod_3 A B C E) A D)))))))))))) (forall ((A $$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 $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v5_vectsp_2 B A) (tptp.l1_vectsp_2 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_rmod_2 C A B) (forall ((D $$unsorted)) (=> (tptp.m1_rmod_2 D A B) (forall ((E $$unsorted)) (=> (tptp.m1_rmod_2 E A B) (=> (and (tptp.m1_rmod_2 C A D) (tptp.m1_rmod_2 C A E)) (tptp.m1_rmod_2 C A (tptp.k2_rmod_3 A B D E))))))))))))) (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.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v5_vectsp_2 B A) (tptp.l1_vectsp_2 B A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k1_rmod_2 A B))) (=> (tptp.m1_rmod_2 C A B) (and (= (tptp.k2_rmod_3 A B _let_1 C) _let_1) (= (tptp.k2_rmod_3 A B C _let_1) _let_1))))))))) true (forall ((A $$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.v6_vectsp_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v5_vectsp_2 B A) (tptp.l1_vectsp_2 B A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k2_rmod_2 A B))) (=> (and (tptp.v3_vectsp_2 C A) (tptp.m1_rmod_2 C A B)) (and (= (tptp.k2_rmod_3 A B _let_1 C) C) (= (tptp.k2_rmod_3 A B C _let_1) C))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v6_vectsp_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k2_rmod_2 A B))) (=> (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.v3_vectsp_2 B A) (tptp.v5_vectsp_2 B A) (tptp.l1_vectsp_2 B A)) (= (tptp.k2_rmod_3 A B _let_1 _let_1) B)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v6_vectsp_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v5_vectsp_2 B A) (tptp.l1_vectsp_2 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_rmod_2 C A B) (forall ((D $$unsorted)) (=> (tptp.m1_rmod_2 D A B) (tptp.m1_rmod_2 (tptp.k2_rmod_3 A B C D) A (tptp.k1_rmod_3 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.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v5_vectsp_2 B A) (tptp.l1_vectsp_2 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_rmod_2 C A B) (forall ((D $$unsorted)) (=> (and (tptp.v3_vectsp_2 D A) (tptp.m1_rmod_2 D A B)) (= (tptp.k1_rmod_3 A B (tptp.k2_rmod_3 A B C D) D) D))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v6_vectsp_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v5_vectsp_2 B A) (tptp.l1_vectsp_2 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_rmod_2 C A B) (forall ((D $$unsorted)) (=> (and (tptp.v3_vectsp_2 D A) (tptp.m1_rmod_2 D A B)) (= (tptp.k2_rmod_3 A B D (tptp.k1_rmod_3 A B D 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.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v5_vectsp_2 B A) (tptp.l1_vectsp_2 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_rmod_2 C A B) (forall ((D $$unsorted)) (=> (tptp.m1_rmod_2 D A B) (forall ((E $$unsorted)) (=> (tptp.m1_rmod_2 E A B) (tptp.m1_rmod_2 (tptp.k1_rmod_3 A B (tptp.k2_rmod_3 A B C D) (tptp.k2_rmod_3 A B D E)) A (tptp.k2_rmod_3 A B D (tptp.k1_rmod_3 A B C E))))))))))))) (forall ((A $$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 $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v5_vectsp_2 B A) (tptp.l1_vectsp_2 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_rmod_2 C A B) (forall ((D $$unsorted)) (=> (tptp.m1_rmod_2 D A B) (forall ((E $$unsorted)) (=> (tptp.m1_rmod_2 E A B) (=> (tptp.m1_rmod_2 C A D) (= (tptp.k2_rmod_3 A B D (tptp.k1_rmod_3 A B C E)) (tptp.k1_rmod_3 A B (tptp.k2_rmod_3 A B C D) (tptp.k2_rmod_3 A B D E)))))))))))))) (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.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v5_vectsp_2 B A) (tptp.l1_vectsp_2 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_rmod_2 C A B) (forall ((D $$unsorted)) (=> (tptp.m1_rmod_2 D A B) (forall ((E $$unsorted)) (=> (tptp.m1_rmod_2 E A B) (tptp.m1_rmod_2 (tptp.k1_rmod_3 A B C (tptp.k2_rmod_3 A B D E)) A (tptp.k2_rmod_3 A B (tptp.k1_rmod_3 A B D C) (tptp.k1_rmod_3 A B C E))))))))))))) (forall ((A $$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 $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v5_vectsp_2 B A) (tptp.l1_vectsp_2 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_rmod_2 C A B) (forall ((D $$unsorted)) (=> (tptp.m1_rmod_2 D A B) (forall ((E $$unsorted)) (=> (tptp.m1_rmod_2 E A B) (=> (tptp.m1_rmod_2 C A D) (= (tptp.k1_rmod_3 A B D (tptp.k2_rmod_3 A B C E)) (tptp.k2_rmod_3 A B (tptp.k1_rmod_3 A B C D) (tptp.k1_rmod_3 A B D E)))))))))))))) (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.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v5_vectsp_2 B A) (tptp.l1_vectsp_2 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_rmod_2 C A B) (forall ((D $$unsorted)) (=> (tptp.m1_rmod_2 D A B) (forall ((E $$unsorted)) (=> (and (tptp.v3_vectsp_2 E A) (tptp.m1_rmod_2 E A B)) (=> (tptp.m1_rmod_2 E A C) (= (tptp.k1_rmod_3 A B E (tptp.k2_rmod_3 A B D C)) (tptp.k2_rmod_3 A B (tptp.k1_rmod_3 A B E D) C))))))))))))) (forall ((A $$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.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 $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v5_vectsp_2 B A) (tptp.l1_vectsp_2 B A)) (forall ((C $$unsorted)) (=> (and (tptp.v3_vectsp_2 C A) (tptp.m1_rmod_2 C A B)) (forall ((D $$unsorted)) (=> (and (tptp.v3_vectsp_2 D A) (tptp.m1_rmod_2 D A B)) (= (= (tptp.k1_rmod_3 A B C D) D) (= (tptp.k2_rmod_3 A B C D) C)))))))))) (forall ((A $$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.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 $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v5_vectsp_2 B A) (tptp.l1_vectsp_2 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_rmod_2 C A B) (forall ((D $$unsorted)) (=> (and (tptp.v3_vectsp_2 D A) (tptp.m1_rmod_2 D A B)) (forall ((E $$unsorted)) (=> (and (tptp.v3_vectsp_2 E A) (tptp.m1_rmod_2 E A B)) (=> (tptp.m1_rmod_2 C A D) (tptp.m1_rmod_2 (tptp.k1_rmod_3 A B C E) A (tptp.k1_rmod_3 A B D E))))))))))))) (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.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v5_vectsp_2 B A) (tptp.l1_vectsp_2 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_rmod_2 C A B) (forall ((D $$unsorted)) (=> (tptp.m1_rmod_2 D A B) (forall ((E $$unsorted)) (=> (tptp.m1_rmod_2 E A B) (=> (tptp.m1_rmod_2 C A D) (tptp.m1_rmod_2 C A (tptp.k1_rmod_3 A B D E))))))))))))) (forall ((A $$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 $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v5_vectsp_2 B A) (tptp.l1_vectsp_2 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_rmod_2 C A B) (forall ((D $$unsorted)) (=> (tptp.m1_rmod_2 D A B) (forall ((E $$unsorted)) (=> (tptp.m1_rmod_2 E A B) (=> (and (tptp.m1_rmod_2 C A D) (tptp.m1_rmod_2 E A D)) (tptp.m1_rmod_2 (tptp.k1_rmod_3 A B C E) A 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.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v5_vectsp_2 B A) (tptp.l1_vectsp_2 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_rmod_2 C A B) (forall ((D $$unsorted)) (let ((_let_1 (tptp.m1_rmod_2 D A C))) (let ((_let_2 (tptp.m1_rmod_2 C A D))) (=> (tptp.m1_rmod_2 D A B) (and (not (and (exists ((E $$unsorted)) (and (tptp.m1_rmod_2 E A B) (= (tptp.u1_struct_0 E) (tptp.k2_xboole_0 (tptp.u1_struct_0 C) (tptp.u1_struct_0 D))))) (not _let_2) (not _let_1))) (not (and (or _let_2 _let_1) (forall ((E $$unsorted)) (=> (tptp.m1_rmod_2 E A B) (not (= (tptp.u1_struct_0 E) (tptp.k2_xboole_0 (tptp.u1_struct_0 C) (tptp.u1_struct_0 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.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v5_vectsp_2 B A) (tptp.l1_vectsp_2 B A)) (forall ((C $$unsorted)) (= (= C (tptp.k3_rmod_3 A B)) (forall ((D $$unsorted)) (= (tptp.r2_hidden D C) (exists ((E $$unsorted)) (and (tptp.v3_vectsp_2 E A) (tptp.m1_rmod_2 E A B) (= E D))))))))))) true true (forall ((A $$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.v6_vectsp_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v3_vectsp_2 B A) (tptp.v5_vectsp_2 B A) (tptp.l1_vectsp_2 B A)) (tptp.r2_hidden B (tptp.k3_rmod_3 A B)))))) (forall ((A $$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.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 $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v5_vectsp_2 B A) (tptp.l1_vectsp_2 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_rmod_2 C A B) (forall ((D $$unsorted)) (=> (tptp.m1_rmod_2 D A B) (= (tptp.r1_rmod_3 A B C D) (and (= (tptp.g1_vectsp_2 A (tptp.u1_struct_0 B) (tptp.u1_rlvect_1 B) (tptp.u2_struct_0 B) (tptp.u1_vectsp_2 A B)) (tptp.k1_rmod_3 A B C D)) (= (tptp.k2_rmod_3 A B C D) (tptp.k1_rmod_2 A B)))))))))))) true (forall ((A $$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.v6_vectsp_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v5_vectsp_2 B A) (tptp.l1_vectsp_2 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_rmod_2 C A B) (forall ((D $$unsorted)) (=> (tptp.m1_rmod_2 D A B) (=> (tptp.r1_rmod_3 A B C D) (tptp.r1_rmod_3 A B D C)))))))))) (forall ((A $$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.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 $$unsorted)) (let ((_let_1 (tptp.k1_rmod_2 A B))) (let ((_let_2 (tptp.k2_rmod_2 A B))) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v3_vectsp_2 B A) (tptp.v5_vectsp_2 B A) (tptp.l1_vectsp_2 B A)) (and (tptp.r1_rmod_3 A B _let_1 _let_2) (tptp.r1_rmod_3 A B _let_2 _let_1)))))))) (forall ((A $$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 $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v5_vectsp_2 B A) (tptp.l1_vectsp_2 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_rmod_2 C A B) (forall ((D $$unsorted)) (=> (tptp.m1_rmod_2 D A B) (forall ((E $$unsorted)) (=> (tptp.m2_rmod_2 E A B C) (forall ((F $$unsorted)) (=> (tptp.m2_rmod_2 F A B D) (=> (not (tptp.r1_xboole_0 E F)) (tptp.m2_rmod_2 (tptp.k5_subset_1 (tptp.u1_struct_0 B) E F) A B (tptp.k2_rmod_3 A B C D))))))))))))))) (forall ((A $$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 $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v5_vectsp_2 B A) (tptp.l1_vectsp_2 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_rmod_2 C A B) (forall ((D $$unsorted)) (=> (tptp.m1_rmod_2 D A B) (= (tptp.r1_rmod_3 A B C D) (forall ((E $$unsorted)) (=> (tptp.m2_rmod_2 E A B C) (forall ((F $$unsorted)) (=> (tptp.m2_rmod_2 F A B D) (exists ((G $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (and (tptp.m1_subset_1 G _let_1) (= (tptp.k5_subset_1 _let_1 E F) (tptp.k6_domain_1 _let_1 G)))))))))))))))))) (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.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v3_vectsp_2 B A) (tptp.v5_vectsp_2 B A) (tptp.l1_vectsp_2 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_rmod_2 C A B) (forall ((D $$unsorted)) (=> (tptp.m1_rmod_2 D A B) (= (= (tptp.k1_rmod_3 A B C D) B) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.u1_struct_0 B)) (exists ((F $$unsorted)) (and (tptp.m1_subset_1 F (tptp.u1_struct_0 B)) (exists ((G $$unsorted)) (and (tptp.m1_subset_1 G (tptp.u1_struct_0 B)) (tptp.r1_rlvect_1 C F) (tptp.r1_rlvect_1 D G) (= E (tptp.k4_rlvect_1 B F G))))))))))))))))) (forall ((A $$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 $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v5_vectsp_2 B A) (tptp.l1_vectsp_2 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_rmod_2 C A B) (forall ((D $$unsorted)) (=> (tptp.m1_rmod_2 D A B) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.u1_struct_0 B)) (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F (tptp.u1_struct_0 B)) (forall ((G $$unsorted)) (=> (tptp.m1_subset_1 G (tptp.u1_struct_0 B)) (forall ((H $$unsorted)) (=> (tptp.m1_subset_1 H (tptp.u1_struct_0 B)) (forall ((I $$unsorted)) (=> (tptp.m1_subset_1 I (tptp.u1_struct_0 B)) (=> (and (tptp.r1_rmod_3 A B C D) (= E (tptp.k4_rlvect_1 B F G)) (= E (tptp.k4_rlvect_1 B H I)) (tptp.r1_rlvect_1 C F) (tptp.r1_rlvect_1 C H) (tptp.r1_rlvect_1 D G) (tptp.r1_rlvect_1 D I)) (and (= F H) (= G I))))))))))))))))))))) (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.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v5_vectsp_2 B A) (tptp.l1_vectsp_2 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_rmod_2 C A B) (forall ((D $$unsorted)) (=> (tptp.m1_rmod_2 D A B) (=> (= B (tptp.k1_rmod_3 A B C D)) (or (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.u1_struct_0 B)) (exists ((F $$unsorted)) (and (tptp.m1_subset_1 F (tptp.u1_struct_0 B)) (exists ((G $$unsorted)) (and (tptp.m1_subset_1 G (tptp.u1_struct_0 B)) (exists ((H $$unsorted)) (and (tptp.m1_subset_1 H (tptp.u1_struct_0 B)) (exists ((I $$unsorted)) (and (tptp.m1_subset_1 I (tptp.u1_struct_0 B)) (= E (tptp.k4_rlvect_1 B F G)) (= E (tptp.k4_rlvect_1 B H I)) (tptp.r1_rlvect_1 C F) (tptp.r1_rlvect_1 C H) (tptp.r1_rlvect_1 D G) (tptp.r1_rlvect_1 D I) (not (and (= F H) (= G I))))))))))))) (tptp.r1_rmod_3 A B C D))))))))))) (forall ((A $$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 $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v5_vectsp_2 B A) (tptp.l1_vectsp_2 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 B)) (forall ((D $$unsorted)) (=> (tptp.m1_rmod_2 D A B) (forall ((E $$unsorted)) (=> (tptp.m1_rmod_2 E A B) (=> (tptp.r1_rmod_3 A B D E) (forall ((F $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.k3_domain_1 _let_1 _let_1 F))) (let ((_let_3 (tptp.k2_domain_1 _let_1 _let_1 F))) (=> (tptp.m1_subset_1 F (tptp.k2_zfmisc_1 _let_1 _let_1)) (= (= F (tptp.k4_rmod_3 A B C D E)) (and (= C (tptp.k4_rlvect_1 B _let_3 _let_2)) (tptp.r1_rlvect_1 D _let_3) (tptp.r1_rlvect_1 E _let_2))))))))))))))))))) true true true true (forall ((A $$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.v6_vectsp_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v5_vectsp_2 B A) (tptp.l1_vectsp_2 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_rmod_2 C A B) (forall ((D $$unsorted)) (=> (tptp.m1_rmod_2 D A B) (forall ((E $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (=> (tptp.m1_subset_1 E _let_1) (=> (tptp.r1_rmod_3 A B C D) (= (tptp.k2_domain_1 _let_1 _let_1 (tptp.k4_rmod_3 A B E C D)) (tptp.k3_domain_1 _let_1 _let_1 (tptp.k4_rmod_3 A B E D C))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v6_vectsp_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v5_vectsp_2 B A) (tptp.l1_vectsp_2 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_rmod_2 C A B) (forall ((D $$unsorted)) (=> (tptp.m1_rmod_2 D A B) (forall ((E $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (=> (tptp.m1_subset_1 E _let_1) (=> (tptp.r1_rmod_3 A B C D) (= (tptp.k3_domain_1 _let_1 _let_1 (tptp.k4_rmod_3 A B E C D)) (tptp.k2_domain_1 _let_1 _let_1 (tptp.k4_rmod_3 A B E D C))))))))))))))) (forall ((A $$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.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 $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v5_vectsp_2 B A) (tptp.l1_vectsp_2 B A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k3_rmod_3 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_rmod_3 A B)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k3_rmod_3 A B)) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.k3_rmod_3 A B)) (forall ((F $$unsorted)) (=> (tptp.m1_rmod_2 F A B) (forall ((G $$unsorted)) (let ((_let_1 (tptp.k3_rmod_3 A B))) (=> (tptp.m1_rmod_2 G A B) (=> (and (= D F) (= E G)) (= (tptp.k2_binop_1 _let_1 _let_1 _let_1 C D E) (tptp.k1_rmod_3 A B F G))))))))))))))))))))) (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.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v5_vectsp_2 B A) (tptp.l1_vectsp_2 B A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k3_rmod_3 A B))) (let ((_let_2 (tptp.k2_zfmisc_1 _let_1 _let_1))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.m2_relset_1 C _let_2 _let_1)) (= (= C (tptp.k6_rmod_3 A B)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k3_rmod_3 A B)) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.k3_rmod_3 A B)) (forall ((F $$unsorted)) (=> (tptp.m1_rmod_2 F A B) (forall ((G $$unsorted)) (let ((_let_1 (tptp.k3_rmod_3 A B))) (=> (tptp.m1_rmod_2 G A B) (=> (and (= D F) (= E G)) (= (tptp.k2_binop_1 _let_1 _let_1 _let_1 C D E) (tptp.k2_rmod_3 A B F G))))))))))))))))))))) true true true true (forall ((A $$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.v6_vectsp_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.g3_lattices (tptp.k3_rmod_3 A B) (tptp.k5_rmod_3 A B) (tptp.k6_rmod_3 A B)))) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v5_vectsp_2 B A) (tptp.l1_vectsp_2 B A)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v10_lattices _let_1) (tptp.l3_lattices _let_1))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.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 $$unsorted)) (let ((_let_1 (tptp.g3_lattices (tptp.k3_rmod_3 A B) (tptp.k5_rmod_3 A B) (tptp.k6_rmod_3 A B)))) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v5_vectsp_2 B A) (tptp.l1_vectsp_2 B A)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v10_lattices _let_1) (tptp.v13_lattices _let_1) (tptp.l3_lattices _let_1))))))) (forall ((A $$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 $$unsorted)) (let ((_let_1 (tptp.g3_lattices (tptp.k3_rmod_3 A B) (tptp.k5_rmod_3 A B) (tptp.k6_rmod_3 A B)))) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v5_vectsp_2 B A) (tptp.l1_vectsp_2 B A)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v10_lattices _let_1) (tptp.v14_lattices _let_1) (tptp.l3_lattices _let_1))))))) (forall ((A $$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 $$unsorted)) (let ((_let_1 (tptp.g3_lattices (tptp.k3_rmod_3 A B) (tptp.k5_rmod_3 A B) (tptp.k6_rmod_3 A B)))) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v5_vectsp_2 B A) (tptp.l1_vectsp_2 B A)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v10_lattices _let_1) (tptp.v15_lattices _let_1) (tptp.l3_lattices _let_1))))))) (forall ((A $$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 $$unsorted)) (let ((_let_1 (tptp.g3_lattices (tptp.k3_rmod_3 A B) (tptp.k5_rmod_3 A B) (tptp.k6_rmod_3 A B)))) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v5_vectsp_2 B A) (tptp.l1_vectsp_2 B A)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v10_lattices _let_1) (tptp.v12_lattices _let_1) (tptp.l3_lattices _let_1))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k1_rmod_3 A B C D))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v6_vectsp_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A) (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v5_vectsp_2 B A) (tptp.l1_vectsp_2 B A) (tptp.m1_rmod_2 C A B) (tptp.m1_rmod_2 D A B)) (and (tptp.v3_vectsp_2 _let_1 A) (tptp.m1_rmod_2 _let_1 A B))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k2_rmod_3 A B C D))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v6_vectsp_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A) (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v5_vectsp_2 B A) (tptp.l1_vectsp_2 B A) (tptp.m1_rmod_2 C A B) (tptp.m1_rmod_2 D A B)) (and (tptp.v3_vectsp_2 _let_1 A) (tptp.m1_rmod_2 _let_1 A B))))) true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (=> (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) (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.v5_vectsp_2 B A) (tptp.l1_vectsp_2 B A) (tptp.m1_subset_1 C _let_1) (tptp.m1_rmod_2 D A B) (tptp.m1_rmod_2 E A B)) (tptp.m1_subset_1 (tptp.k4_rmod_3 A B C D E) (tptp.k2_zfmisc_1 _let_1 _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k3_rmod_3 A B))) (let ((_let_2 (tptp.k2_zfmisc_1 _let_1 _let_1))) (let ((_let_3 (tptp.k5_rmod_3 A B))) (=> (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) (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.v5_vectsp_2 B A) (tptp.l1_vectsp_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)) (let ((_let_1 (tptp.k3_rmod_3 A B))) (let ((_let_2 (tptp.k2_zfmisc_1 _let_1 _let_1))) (let ((_let_3 (tptp.k6_rmod_3 A B))) (=> (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) (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.v5_vectsp_2 B A) (tptp.l1_vectsp_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 $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v6_vectsp_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v5_vectsp_2 B A) (tptp.l1_vectsp_2 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_rmod_2 C A B) (forall ((D $$unsorted)) (=> (tptp.m1_rmod_2 D A B) (forall ((E $$unsorted)) (=> (and (tptp.v3_vectsp_2 E A) (tptp.m1_rmod_2 E A B)) (= (= E (tptp.k1_rmod_3 A B C D)) (= (tptp.u1_struct_0 E) (tptp.a_4_0_rmod_3 A B C D))))))))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$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.v4_group_1 B) (tptp.v6_vectsp_1 B) (tptp.v7_vectsp_1 B) (tptp.v8_vectsp_1 B) (tptp.l3_vectsp_1 B) (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.v5_vectsp_2 C B) (tptp.l1_vectsp_2 C B) (tptp.m1_rmod_2 D B C) (tptp.m1_rmod_2 E B C)) (= (tptp.r2_hidden A (tptp.a_4_0_rmod_3 B C D E)) (exists ((F $$unsorted) (G $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 C))) (and (tptp.m1_subset_1 F _let_1) (tptp.m1_subset_1 G _let_1) (= A (tptp.k4_rlvect_1 C F G)) (tptp.r1_rlvect_1 D F) (tptp.r1_rlvect_1 E G))))))) (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.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v5_vectsp_2 B A) (tptp.l1_vectsp_2 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m2_finseq_1 D (tptp.u1_struct_0 B)) (forall ((E $$unsorted)) (=> (tptp.m2_finseq_1 E (tptp.u1_struct_0 B)) (=> (and (= (tptp.k3_finseq_1 D) (tptp.k3_finseq_1 E)) (forall ((F $$unsorted)) (=> (tptp.m2_subset_1 F tptp.k1_numbers tptp.k5_numbers) (forall ((G $$unsorted)) (=> (tptp.m1_subset_1 G (tptp.u1_struct_0 B)) (=> (and (tptp.r2_hidden F (tptp.k1_relat_1 D)) (= G (tptp.k1_funct_1 E F))) (= (tptp.k1_funct_1 D F) (tptp.k6_vectsp_2 A B C G)))))))) (= (tptp.k9_rlvect_1 B D) (tptp.k6_vectsp_2 A B C (tptp.k9_rlvect_1 B E)))))))))))))) (forall ((A $$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 $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v5_vectsp_2 B A) (tptp.l1_vectsp_2 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (tptp.k6_vectsp_2 A B C (tptp.k9_rlvect_1 B (tptp.k6_finseq_1 (tptp.u1_struct_0 B)))) (tptp.k1_rlvect_1 B)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v6_vectsp_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v5_vectsp_2 B A) (tptp.l1_vectsp_2 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 $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (=> (tptp.m1_subset_1 E _let_1) (= (tptp.k6_vectsp_2 A B C (tptp.k9_rlvect_1 B (tptp.k2_finseq_4 _let_1 D E))) (tptp.k4_rlvect_1 B (tptp.k6_vectsp_2 A B C D) (tptp.k6_vectsp_2 A B C E)))))))))))))) (forall ((A $$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 $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v5_vectsp_2 B A) (tptp.l1_vectsp_2 B A)) (forall ((C $$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)) (forall ((F $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (=> (tptp.m1_subset_1 F _let_1) (= (tptp.k6_vectsp_2 A B C (tptp.k9_rlvect_1 B (tptp.k3_finseq_4 _let_1 D E F))) (tptp.k4_rlvect_1 B (tptp.k4_rlvect_1 B (tptp.k6_vectsp_2 A B C D) (tptp.k6_vectsp_2 A B C E)) (tptp.k6_vectsp_2 A B C F)))))))))))))))) true true (forall ((A $$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.v6_vectsp_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v5_vectsp_2 B A) (tptp.l1_vectsp_2 B A)) (forall ((C $$unsorted)) (=> (and (tptp.v1_finset_1 C) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B)))) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 B)) (= (= D (tptp.k1_rmod_4 A B C)) (exists ((E $$unsorted)) (and (tptp.m2_finseq_1 E (tptp.u1_struct_0 B)) (= (tptp.k2_relat_1 E) C) (tptp.v2_funct_1 E) (= D (tptp.k9_rlvect_1 B E))))))))))))) (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.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v5_vectsp_2 B A) (tptp.l1_vectsp_2 B A)) (= (tptp.k1_rmod_4 A B (tptp.k1_pre_topc B)) (tptp.k1_rlvect_1 B)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v6_vectsp_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v5_vectsp_2 B A) (tptp.l1_vectsp_2 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 B)) (= (tptp.k1_rmod_4 A B (tptp.k7_rlvect_2 B C)) C))))))) (forall ((A $$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.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 $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v5_vectsp_2 B A) (tptp.l1_vectsp_2 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 B)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 B)) (=> (not (= C D)) (= (tptp.k1_rmod_4 A B (tptp.k8_rlvect_2 B C D)) (tptp.k4_rlvect_1 B C D))))))))))) (forall ((A $$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 $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v5_vectsp_2 B A) (tptp.l1_vectsp_2 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 B)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 B)) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.u1_struct_0 B)) (not (and (not (= C D)) (not (= D E)) (not (= C E)) (not (= (tptp.k1_rmod_4 A B (tptp.k9_rlvect_2 B C D E)) (tptp.k4_rlvect_1 B (tptp.k4_rlvect_1 B C D) E))))))))))))))) (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.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v5_vectsp_2 B A) (tptp.l1_vectsp_2 B A)) (forall ((C $$unsorted)) (=> (and (tptp.v1_finset_1 C) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B)))) (forall ((D $$unsorted)) (=> (and (tptp.v1_finset_1 D) (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B)))) (=> (tptp.r1_xboole_0 C D) (= (tptp.k1_rmod_4 A B (tptp.k2_rlvect_2 B C D)) (tptp.k4_rlvect_1 B (tptp.k1_rmod_4 A B C) (tptp.k1_rmod_4 A B 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.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v5_vectsp_2 B A) (tptp.l1_vectsp_2 B A)) (forall ((C $$unsorted)) (=> (and (tptp.v1_finset_1 C) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B)))) (forall ((D $$unsorted)) (=> (and (tptp.v1_finset_1 D) (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B)))) (= (tptp.k1_rmod_4 A B (tptp.k2_rlvect_2 B C D)) (tptp.k6_rlvect_1 B (tptp.k4_rlvect_1 B (tptp.k1_rmod_4 A B C) (tptp.k1_rmod_4 A B D)) (tptp.k1_rmod_4 A B (tptp.k3_rlvect_2 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.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v5_vectsp_2 B A) (tptp.l1_vectsp_2 B A)) (forall ((C $$unsorted)) (=> (and (tptp.v1_finset_1 C) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B)))) (forall ((D $$unsorted)) (=> (and (tptp.v1_finset_1 D) (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B)))) (= (tptp.k1_rmod_4 A B (tptp.k3_rlvect_2 B C D)) (tptp.k6_rlvect_1 B (tptp.k4_rlvect_1 B (tptp.k1_rmod_4 A B C) (tptp.k1_rmod_4 A B D)) (tptp.k1_rmod_4 A B (tptp.k2_rlvect_2 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.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v5_vectsp_2 B A) (tptp.l1_vectsp_2 B A)) (forall ((C $$unsorted)) (=> (and (tptp.v1_finset_1 C) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B)))) (forall ((D $$unsorted)) (=> (and (tptp.v1_finset_1 D) (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B)))) (= (tptp.k1_rmod_4 A B (tptp.k4_rlvect_2 B C D)) (tptp.k6_rlvect_1 B (tptp.k1_rmod_4 A B (tptp.k2_rlvect_2 B C D)) (tptp.k1_rmod_4 A B 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.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v5_vectsp_2 B A) (tptp.l1_vectsp_2 B A)) (forall ((C $$unsorted)) (=> (and (tptp.v1_finset_1 C) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B)))) (forall ((D $$unsorted)) (=> (and (tptp.v1_finset_1 D) (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B)))) (= (tptp.k1_rmod_4 A B (tptp.k4_rlvect_2 B C D)) (tptp.k6_rlvect_1 B (tptp.k1_rmod_4 A B C) (tptp.k1_rmod_4 A B (tptp.k3_rlvect_2 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.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v5_vectsp_2 B A) (tptp.l1_vectsp_2 B A)) (forall ((C $$unsorted)) (=> (and (tptp.v1_finset_1 C) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B)))) (forall ((D $$unsorted)) (=> (and (tptp.v1_finset_1 D) (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B)))) (= (tptp.k1_rmod_4 A B (tptp.k5_rlvect_2 B C D)) (tptp.k6_rlvect_1 B (tptp.k1_rmod_4 A B (tptp.k2_rlvect_2 B C D)) (tptp.k1_rmod_4 A B (tptp.k3_rlvect_2 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.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v5_vectsp_2 B A) (tptp.l1_vectsp_2 B A)) (forall ((C $$unsorted)) (=> (and (tptp.v1_finset_1 C) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B)))) (forall ((D $$unsorted)) (=> (and (tptp.v1_finset_1 D) (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B)))) (= (tptp.k1_rmod_4 A B (tptp.k5_rlvect_2 B C D)) (tptp.k4_rlvect_1 B (tptp.k1_rmod_4 A B (tptp.k4_rlvect_2 B C D)) (tptp.k1_rmod_4 A B (tptp.k4_rlvect_2 B D C)))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v6_vectsp_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v5_vectsp_2 B A) (tptp.l1_vectsp_2 B A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.u1_struct_0 B))) (=> (tptp.m2_fraenkel C _let_2 _let_1 (tptp.k1_fraenkel _let_2 _let_1)) (= (tptp.m1_rmod_4 C A B) (exists ((D $$unsorted)) (and (tptp.v1_finset_1 D) (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B))) (forall ((E $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (=> (tptp.m1_subset_1 E _let_1) (=> (not (tptp.r2_hidden E D)) (= (tptp.k8_funct_2 _let_1 (tptp.u1_struct_0 A) C E) (tptp.k1_rlvect_1 A))))))))))))))))) true true true (forall ((A $$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.v6_vectsp_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v5_vectsp_2 B A) (tptp.l1_vectsp_2 B A)) (forall ((C $$unsorted) (D $$unsorted)) (=> (tptp.m1_rmod_4 D A B) (= (tptp.r2_hidden C (tptp.k2_rmod_4 A B D)) (exists ((E $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (and (tptp.m1_subset_1 E _let_1) (= C E) (not (= (tptp.k8_funct_2 _let_1 (tptp.u1_struct_0 A) D E) (tptp.k1_rlvect_1 A))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v6_vectsp_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v5_vectsp_2 B A) (tptp.l1_vectsp_2 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 B)) (forall ((D $$unsorted)) (=> (tptp.m1_rmod_4 D A B) (= (= (tptp.k8_funct_2 (tptp.u1_struct_0 B) (tptp.u1_struct_0 A) D C) (tptp.k1_rlvect_1 A)) (not (tptp.r2_hidden C (tptp.k2_rmod_4 A B 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.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v5_vectsp_2 B A) (tptp.l1_vectsp_2 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_rmod_4 C A B) (= (= C (tptp.k3_rmod_4 A B)) (= (tptp.k2_rmod_4 A B C) tptp.k1_xboole_0)))))))) true (forall ((A $$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.v6_vectsp_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v5_vectsp_2 B A) (tptp.l1_vectsp_2 B A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (=> (tptp.m1_subset_1 C _let_1) (= (tptp.k8_funct_2 _let_1 (tptp.u1_struct_0 A) (tptp.k3_rmod_4 A B) C) (tptp.k1_rlvect_1 A))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v6_vectsp_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v5_vectsp_2 B A) (tptp.l1_vectsp_2 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B))) (forall ((D $$unsorted)) (=> (tptp.m1_rmod_4 D A B) (= (tptp.m2_rmod_4 D A B C) (tptp.r1_tarski (tptp.k2_rmod_4 A B D) C)))))))))) true true (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v6_vectsp_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v5_vectsp_2 B A) (tptp.l1_vectsp_2 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B))) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B))) (forall ((E $$unsorted)) (=> (tptp.m2_rmod_4 E A B C) (=> (tptp.r1_tarski C D) (tptp.m2_rmod_4 E A B D)))))))))))) (forall ((A $$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 $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v5_vectsp_2 B A) (tptp.l1_vectsp_2 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B))) (tptp.m2_rmod_4 (tptp.k3_rmod_4 A B) A B C))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v6_vectsp_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v5_vectsp_2 B A) (tptp.l1_vectsp_2 B A)) (forall ((C $$unsorted)) (=> (tptp.m2_rmod_4 C A B (tptp.k1_subset_1 (tptp.u1_struct_0 B))) (= C (tptp.k3_rmod_4 A B)))))))) (forall ((A $$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.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 $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v5_vectsp_2 B A) (tptp.l1_vectsp_2 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_rmod_4 C A B) (tptp.m2_rmod_4 C A B (tptp.k2_rmod_4 A B C)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v6_vectsp_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v5_vectsp_2 B A) (tptp.l1_vectsp_2 B A)) (forall ((C $$unsorted)) (=> (tptp.m2_finseq_1 C (tptp.u1_struct_0 B)) (forall ((D $$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.m2_relset_1 D _let_2 _let_1)) (forall ((E $$unsorted)) (=> (tptp.m2_finseq_1 E (tptp.u1_struct_0 B)) (= (= E (tptp.k4_rmod_4 A B C D)) (and (= (tptp.k3_finseq_1 E) (tptp.k3_finseq_1 C)) (forall ((F $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.k4_finseq_4 tptp.k5_numbers _let_1 C F))) (=> (tptp.m2_subset_1 F tptp.k1_numbers tptp.k5_numbers) (=> (tptp.r2_hidden F (tptp.k1_relat_1 E)) (= (tptp.k1_funct_1 E F) (tptp.k6_vectsp_2 A B (tptp.k8_funct_2 _let_1 (tptp.u1_struct_0 A) D _let_2) _let_2))))))))))))))))))))) true true true (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v6_vectsp_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v5_vectsp_2 B A) (tptp.l1_vectsp_2 B A)) (forall ((C $$unsorted)) (=> (tptp.m2_subset_1 C tptp.k1_numbers tptp.k5_numbers) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 B)) (forall ((E $$unsorted)) (=> (tptp.m2_finseq_1 E (tptp.u1_struct_0 B)) (forall ((F $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.u1_struct_0 B))) (=> (and (tptp.v1_funct_1 F) (tptp.v1_funct_2 F _let_2 _let_1) (tptp.m2_relset_1 F _let_2 _let_1)) (=> (and (tptp.r2_hidden C (tptp.k1_relat_1 E)) (= D (tptp.k1_funct_1 E C))) (= (tptp.k1_funct_1 (tptp.k4_rmod_4 A B E F) C) (tptp.k6_vectsp_2 A B (tptp.k8_funct_2 _let_2 _let_1 F D) D))))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v6_vectsp_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v5_vectsp_2 B A) (tptp.l1_vectsp_2 B A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.k6_finseq_1 _let_1))) (let ((_let_3 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_1 _let_3) (tptp.m2_relset_1 C _let_1 _let_3)) (= (tptp.k4_rmod_4 A B _let_2 C) _let_2)))))))))) (forall ((A $$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.v6_vectsp_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v5_vectsp_2 B A) (tptp.l1_vectsp_2 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 B)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.u1_struct_0 B))) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D _let_2 _let_1) (tptp.m2_relset_1 D _let_2 _let_1)) (= (tptp.k4_rmod_4 A B (tptp.k12_finseq_1 _let_2 C) D) (tptp.k12_finseq_1 _let_2 (tptp.k6_vectsp_2 A B (tptp.k8_funct_2 _let_2 _let_1 D C) C))))))))))))) (forall ((A $$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.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 $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v5_vectsp_2 B A) (tptp.l1_vectsp_2 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 B)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 B)) (forall ((E $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (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)) (= (tptp.k4_rmod_4 A B (tptp.k2_finseq_4 _let_2 C D) E) (tptp.k2_finseq_4 _let_2 (tptp.k6_vectsp_2 A B (tptp.k8_funct_2 _let_2 _let_1 E C) C) (tptp.k6_vectsp_2 A B (tptp.k8_funct_2 _let_2 _let_1 E D) D))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v6_vectsp_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v5_vectsp_2 B A) (tptp.l1_vectsp_2 B A)) (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)) (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))) (=> (and (tptp.v1_funct_1 F) (tptp.v1_funct_2 F _let_2 _let_1) (tptp.m2_relset_1 F _let_2 _let_1)) (= (tptp.k4_rmod_4 A B (tptp.k3_finseq_4 _let_2 C D E) F) (tptp.k3_finseq_4 _let_2 (tptp.k6_vectsp_2 A B (tptp.k8_funct_2 _let_2 _let_1 F C) C) (tptp.k6_vectsp_2 A B (tptp.k8_funct_2 _let_2 _let_1 F D) D) (tptp.k6_vectsp_2 A B (tptp.k8_funct_2 _let_2 _let_1 F E) E))))))))))))))))) (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.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v5_vectsp_2 B A) (tptp.l1_vectsp_2 B A)) (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)) (forall ((E $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 E) (tptp.v1_funct_2 E _let_1 _let_2) (tptp.m2_relset_1 E _let_1 _let_2)) (= (tptp.k4_rmod_4 A B (tptp.k8_finseq_1 _let_1 C D) E) (tptp.k8_finseq_1 _let_1 (tptp.k4_rmod_4 A B C E) (tptp.k4_rmod_4 A B D E))))))))))))))) (forall ((A $$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 $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v5_vectsp_2 B A) (tptp.l1_vectsp_2 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_rmod_4 C A B) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 B)) (= (= D (tptp.k5_rmod_4 A B C)) (exists ((E $$unsorted)) (and (tptp.m2_finseq_1 E (tptp.u1_struct_0 B)) (tptp.v2_funct_1 E) (= (tptp.k2_relat_1 E) (tptp.k2_rmod_4 A B C)) (= D (tptp.k9_rlvect_1 B (tptp.k4_rmod_4 A B E C)))))))))))))) true true (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v6_vectsp_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v5_vectsp_2 B A) (tptp.l1_vectsp_2 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B))) (=> (not (= (tptp.k1_rlvect_1 A) (tptp.k2_group_1 A))) (= (and (not (= C tptp.k1_xboole_0)) (tptp.v1_rmod_2 C A B)) (forall ((D $$unsorted)) (=> (tptp.m2_rmod_4 D A B C) (tptp.r2_hidden (tptp.k5_rmod_4 A B D) C))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v6_vectsp_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v5_vectsp_2 B A) (tptp.l1_vectsp_2 B A)) (= (tptp.k5_rmod_4 A B (tptp.k3_rmod_4 A B)) (tptp.k1_rlvect_1 B)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v6_vectsp_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v5_vectsp_2 B A) (tptp.l1_vectsp_2 B A)) (forall ((C $$unsorted)) (=> (tptp.m2_rmod_4 C A B (tptp.k1_subset_1 (tptp.u1_struct_0 B))) (= (tptp.k5_rmod_4 A B C) (tptp.k1_rlvect_1 B)))))))) (forall ((A $$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.v6_vectsp_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v5_vectsp_2 B A) (tptp.l1_vectsp_2 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 B)) (forall ((D $$unsorted)) (=> (tptp.m2_rmod_4 D A B (tptp.k7_rlvect_2 B C)) (= (tptp.k5_rmod_4 A B D) (tptp.k6_vectsp_2 A B (tptp.k8_funct_2 (tptp.u1_struct_0 B) (tptp.u1_struct_0 A) D C) C)))))))))) (forall ((A $$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.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 $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v5_vectsp_2 B A) (tptp.l1_vectsp_2 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 B)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 B)) (=> (not (= C D)) (forall ((E $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.u1_struct_0 B))) (=> (tptp.m2_rmod_4 E A B (tptp.k8_rlvect_2 B C D)) (= (tptp.k5_rmod_4 A B E) (tptp.k4_rlvect_1 B (tptp.k6_vectsp_2 A B (tptp.k8_funct_2 _let_2 _let_1 E C) C) (tptp.k6_vectsp_2 A B (tptp.k8_funct_2 _let_2 _let_1 E D) D)))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v6_vectsp_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v5_vectsp_2 B A) (tptp.l1_vectsp_2 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_rmod_4 C A B) (=> (= (tptp.k2_rmod_4 A B C) tptp.k1_xboole_0) (= (tptp.k5_rmod_4 A B C) (tptp.k1_rlvect_1 B))))))))) (forall ((A $$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.v6_vectsp_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v5_vectsp_2 B A) (tptp.l1_vectsp_2 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 B)) (forall ((D $$unsorted)) (=> (tptp.m1_rmod_4 D A B) (=> (= (tptp.k2_rmod_4 A B D) (tptp.k7_rlvect_2 B C)) (= (tptp.k5_rmod_4 A B D) (tptp.k6_vectsp_2 A B (tptp.k8_funct_2 (tptp.u1_struct_0 B) (tptp.u1_struct_0 A) D C) C))))))))))) (forall ((A $$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.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 $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v5_vectsp_2 B A) (tptp.l1_vectsp_2 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 B)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 B)) (forall ((E $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.u1_struct_0 B))) (=> (tptp.m1_rmod_4 E A B) (=> (= (tptp.k2_rmod_4 A B E) (tptp.k8_rlvect_2 B C D)) (or (= C D) (= (tptp.k5_rmod_4 A B E) (tptp.k4_rlvect_1 B (tptp.k6_vectsp_2 A B (tptp.k8_funct_2 _let_2 _let_1 E C) C) (tptp.k6_vectsp_2 A B (tptp.k8_funct_2 _let_2 _let_1 E D) D))))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v6_vectsp_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v5_vectsp_2 B A) (tptp.l1_vectsp_2 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_rmod_4 C A B) (forall ((D $$unsorted)) (=> (tptp.m1_rmod_4 D A B) (= (tptp.r1_rmod_4 A B C D) (forall ((E $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.u1_struct_0 B))) (=> (tptp.m1_subset_1 E _let_2) (= (tptp.k8_funct_2 _let_2 _let_1 C E) (tptp.k8_funct_2 _let_2 _let_1 D E))))))))))))))) (forall ((A $$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 $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v5_vectsp_2 B A) (tptp.l1_vectsp_2 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_rmod_4 C A B) (forall ((D $$unsorted)) (=> (tptp.m1_rmod_4 D A B) (forall ((E $$unsorted)) (=> (tptp.m1_rmod_4 E A B) (= (= E (tptp.k6_rmod_4 A B C D)) (forall ((F $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.u1_struct_0 B))) (=> (tptp.m1_subset_1 F _let_2) (= (tptp.k8_funct_2 _let_2 _let_1 E F) (tptp.k4_rlvect_1 A (tptp.k8_funct_2 _let_2 _let_1 C F) (tptp.k8_funct_2 _let_2 _let_1 D F)))))))))))))))))) true true true (forall ((A $$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.v6_vectsp_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v5_vectsp_2 B A) (tptp.l1_vectsp_2 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_rmod_4 C A B) (forall ((D $$unsorted)) (=> (tptp.m1_rmod_4 D A B) (tptp.r1_tarski (tptp.k2_rmod_4 A B (tptp.k6_rmod_4 A B C D)) (tptp.k2_rlvect_2 B (tptp.k2_rmod_4 A B C) (tptp.k2_rmod_4 A B D))))))))))) (forall ((A $$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 $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v5_vectsp_2 B A) (tptp.l1_vectsp_2 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B))) (forall ((D $$unsorted)) (=> (tptp.m1_rmod_4 D A B) (forall ((E $$unsorted)) (=> (tptp.m1_rmod_4 E A B) (=> (and (tptp.m2_rmod_4 D A B C) (tptp.m2_rmod_4 E A B C)) (tptp.m2_rmod_4 (tptp.k6_rmod_4 A B D E) A B C)))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v7_group_1 A) (tptp.v6_vectsp_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v5_vectsp_2 B A) (tptp.l1_vectsp_2 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_rmod_4 C A B) (forall ((D $$unsorted)) (=> (tptp.m1_rmod_4 D A B) (tptp.r1_rmod_4 A B (tptp.k6_rmod_4 A B C D) (tptp.k6_rmod_4 A B D C)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v6_vectsp_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v5_vectsp_2 B A) (tptp.l1_vectsp_2 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_rmod_4 C A B) (forall ((D $$unsorted)) (=> (tptp.m1_rmod_4 D A B) (forall ((E $$unsorted)) (=> (tptp.m1_rmod_4 E A B) (tptp.r1_rmod_4 A B (tptp.k6_rmod_4 A B C (tptp.k6_rmod_4 A B D E)) (tptp.k6_rmod_4 A B (tptp.k6_rmod_4 A B C D) E)))))))))))) (forall ((A $$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.v6_vectsp_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v5_vectsp_2 B A) (tptp.l1_vectsp_2 B A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k3_rmod_4 A B))) (=> (tptp.m1_rmod_4 C A B) (and (tptp.r1_rmod_4 A B (tptp.k6_rmod_4 A B C _let_1) C) (tptp.r1_rmod_4 A B (tptp.k6_rmod_4 A B _let_1 C) C))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v6_vectsp_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v5_vectsp_2 B A) (tptp.l1_vectsp_2 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_rmod_4 D A B) (forall ((E $$unsorted)) (=> (tptp.m1_rmod_4 E A B) (= (= E (tptp.k7_rmod_4 A B C D)) (forall ((F $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.u1_struct_0 B))) (=> (tptp.m1_subset_1 F _let_2) (= (tptp.k8_funct_2 _let_2 _let_1 E F) (tptp.k1_group_1 A (tptp.k8_funct_2 _let_2 _let_1 D F) C))))))))))))))))) true true (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v6_vectsp_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v5_vectsp_2 B A) (tptp.l1_vectsp_2 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_rmod_4 D A B) (tptp.r1_tarski (tptp.k2_rmod_4 A B (tptp.k7_rmod_4 A B C D)) (tptp.k2_rmod_4 A B D)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v7_group_1 A) (tptp.v6_vectsp_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (not (tptp.v10_vectsp_1 A)) (tptp.v2_vectsp_2 A) (tptp.l3_vectsp_1 A)) (forall ((B $$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.v5_vectsp_2 B A) (tptp.l1_vectsp_2 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_rmod_4 C A B) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (=> (not (= D (tptp.k1_rlvect_1 A))) (= (tptp.k2_rmod_4 A B (tptp.k7_rmod_4 A B D C)) (tptp.k2_rmod_4 A B C))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v6_vectsp_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v5_vectsp_2 B A) (tptp.l1_vectsp_2 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_rmod_4 C A B) (tptp.r1_rmod_4 A B (tptp.k7_rmod_4 A B (tptp.k1_rlvect_1 A) C) (tptp.k3_rmod_4 A B)))))))) (forall ((A $$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.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 $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v5_vectsp_2 B A) (tptp.l1_vectsp_2 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B))) (forall ((E $$unsorted)) (=> (tptp.m1_rmod_4 E A B) (=> (tptp.m2_rmod_4 E A B D) (tptp.m2_rmod_4 (tptp.k7_rmod_4 A B C E) A B 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.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v5_vectsp_2 B A) (tptp.l1_vectsp_2 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 $$unsorted)) (=> (tptp.m1_rmod_4 E A B) (tptp.r1_rmod_4 A B (tptp.k7_rmod_4 A B (tptp.k4_rlvect_1 A C D) E) (tptp.k6_rmod_4 A B (tptp.k7_rmod_4 A B C E) (tptp.k7_rmod_4 A B D E))))))))))))) (forall ((A $$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 $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v5_vectsp_2 B A) (tptp.l1_vectsp_2 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_rmod_4 D A B) (forall ((E $$unsorted)) (=> (tptp.m1_rmod_4 E A B) (tptp.r1_rmod_4 A B (tptp.k7_rmod_4 A B C (tptp.k6_rmod_4 A B D E)) (tptp.k6_rmod_4 A B (tptp.k7_rmod_4 A B C D) (tptp.k7_rmod_4 A B C E))))))))))))) (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.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v5_vectsp_2 B A) (tptp.l1_vectsp_2 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 $$unsorted)) (=> (tptp.m1_rmod_4 E A B) (tptp.r1_rmod_4 A B (tptp.k7_rmod_4 A B D (tptp.k7_rmod_4 A B C E)) (tptp.k7_rmod_4 A B (tptp.k1_group_1 A C D) E)))))))))))) (forall ((A $$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 $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v5_vectsp_2 B A) (tptp.l1_vectsp_2 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_rmod_4 C A B) (tptp.r1_rmod_4 A B (tptp.k7_rmod_4 A B (tptp.k2_group_1 A) C) C))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v6_vectsp_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v5_vectsp_2 B A) (tptp.l1_vectsp_2 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_rmod_4 C A B) (= (tptp.k8_rmod_4 A B C) (tptp.k7_rmod_4 A B (tptp.k5_rlvect_1 A (tptp.k2_group_1 A)) C)))))))) true (forall ((A $$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.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 $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v5_vectsp_2 B A) (tptp.l1_vectsp_2 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 B)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.u1_struct_0 B))) (=> (tptp.m1_rmod_4 D A B) (= (tptp.k8_funct_2 _let_2 _let_1 (tptp.k8_rmod_4 A B D) C) (tptp.k5_rlvect_1 A (tptp.k8_funct_2 _let_2 _let_1 D C))))))))))))) (forall ((A $$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.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 $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v5_vectsp_2 B A) (tptp.l1_vectsp_2 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_rmod_4 C A B) (forall ((D $$unsorted)) (=> (tptp.m1_rmod_4 D A B) (=> (tptp.r1_rmod_4 A B (tptp.k6_rmod_4 A B C D) (tptp.k3_rmod_4 A B)) (tptp.r1_rmod_4 A B D (tptp.k8_rmod_4 A B C))))))))))) (forall ((A $$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.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 $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v5_vectsp_2 B A) (tptp.l1_vectsp_2 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_rmod_4 C A B) (= (tptp.k2_rmod_4 A B (tptp.k8_rmod_4 A B C)) (tptp.k2_rmod_4 A B C)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v6_vectsp_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v5_vectsp_2 B A) (tptp.l1_vectsp_2 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B))) (forall ((D $$unsorted)) (=> (tptp.m1_rmod_4 D A B) (=> (tptp.m2_rmod_4 D A B C) (tptp.m2_rmod_4 (tptp.k8_rmod_4 A B D) A B C)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v6_vectsp_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v5_vectsp_2 B A) (tptp.l1_vectsp_2 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_rmod_4 C A B) (forall ((D $$unsorted)) (=> (tptp.m1_rmod_4 D A B) (= (tptp.k9_rmod_4 A B C D) (tptp.k6_rmod_4 A B C (tptp.k8_rmod_4 A B D))))))))))) true true (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v6_vectsp_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v5_vectsp_2 B A) (tptp.l1_vectsp_2 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 B)) (forall ((D $$unsorted)) (=> (tptp.m1_rmod_4 D A B) (forall ((E $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.u1_struct_0 B))) (=> (tptp.m1_rmod_4 E A B) (= (tptp.k8_funct_2 _let_2 _let_1 (tptp.k9_rmod_4 A B D E) C) (tptp.k6_rlvect_1 A (tptp.k8_funct_2 _let_2 _let_1 D C) (tptp.k8_funct_2 _let_2 _let_1 E C))))))))))))))) (forall ((A $$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.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 $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v5_vectsp_2 B A) (tptp.l1_vectsp_2 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_rmod_4 C A B) (forall ((D $$unsorted)) (=> (tptp.m1_rmod_4 D A B) (tptp.r1_tarski (tptp.k2_rmod_4 A B (tptp.k9_rmod_4 A B C D)) (tptp.k2_rlvect_2 B (tptp.k2_rmod_4 A B C) (tptp.k2_rmod_4 A B D))))))))))) (forall ((A $$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 $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v5_vectsp_2 B A) (tptp.l1_vectsp_2 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B))) (forall ((D $$unsorted)) (=> (tptp.m1_rmod_4 D A B) (forall ((E $$unsorted)) (=> (tptp.m1_rmod_4 E A B) (=> (and (tptp.m2_rmod_4 D A B C) (tptp.m2_rmod_4 E A B C)) (tptp.m2_rmod_4 (tptp.k9_rmod_4 A B D E) A B C)))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v6_vectsp_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v5_vectsp_2 B A) (tptp.l1_vectsp_2 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_rmod_4 C A B) (tptp.r1_rmod_4 A B (tptp.k9_rmod_4 A B C C) (tptp.k3_rmod_4 A B)))))))) (forall ((A $$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.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 $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v5_vectsp_2 B A) (tptp.l1_vectsp_2 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_rmod_4 C A B) (forall ((D $$unsorted)) (=> (tptp.m1_rmod_4 D A B) (= (tptp.k5_rmod_4 A B (tptp.k6_rmod_4 A B C D)) (tptp.k4_rlvect_1 B (tptp.k5_rmod_4 A B C) (tptp.k5_rmod_4 A B D))))))))))) (forall ((A $$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_group_1 A) (tptp.v6_vectsp_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (not (tptp.v10_vectsp_1 A)) (tptp.v2_vectsp_2 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v5_vectsp_2 B A) (tptp.l1_vectsp_2 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_rmod_4 C A B) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (= (tptp.k5_rmod_4 A B (tptp.k7_rmod_4 A B D C)) (tptp.k6_vectsp_2 A B D (tptp.k5_rmod_4 A B C))))))))))) (forall ((A $$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.v4_group_1 A) (tptp.v7_group_1 A) (tptp.v6_vectsp_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (not (tptp.v10_vectsp_1 A)) (tptp.v2_vectsp_2 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v5_vectsp_2 B A) (tptp.l1_vectsp_2 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_rmod_4 C A B) (= (tptp.k5_rmod_4 A B (tptp.k8_rmod_4 A B C)) (tptp.k5_rlvect_1 B (tptp.k5_rmod_4 A B C))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v7_group_1 A) (tptp.v6_vectsp_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (not (tptp.v10_vectsp_1 A)) (tptp.v2_vectsp_2 A) (tptp.l3_vectsp_1 A)) (forall ((B $$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.v5_vectsp_2 B A) (tptp.l1_vectsp_2 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_rmod_4 C A B) (forall ((D $$unsorted)) (=> (tptp.m1_rmod_4 D A B) (= (tptp.k5_rmod_4 A B (tptp.k9_rmod_4 A B C D)) (tptp.k6_rlvect_1 B (tptp.k5_rmod_4 A B C) (tptp.k5_rmod_4 A B D))))))))))) (forall ((A $$unsorted) (B $$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) (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.v5_vectsp_2 B A) (tptp.l1_vectsp_2 B A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.u1_struct_0 B))) (=> (tptp.m1_rmod_4 C A B) (tptp.m2_fraenkel C _let_2 _let_1 (tptp.k1_fraenkel _let_2 _let_1)))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v6_vectsp_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A) (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v5_vectsp_2 B A) (tptp.l1_vectsp_2 B A)) (exists ((C $$unsorted)) (tptp.m1_rmod_4 C A B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v6_vectsp_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A) (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v5_vectsp_2 B A) (tptp.l1_vectsp_2 B A) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B)))) (forall ((D $$unsorted)) (=> (tptp.m2_rmod_4 D A B C) (tptp.m1_rmod_4 D A B))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v6_vectsp_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A) (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v5_vectsp_2 B A) (tptp.l1_vectsp_2 B A) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B)))) (exists ((D $$unsorted)) (tptp.m2_rmod_4 D A B C)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$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) (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.v5_vectsp_2 B A) (tptp.l1_vectsp_2 B A) (tptp.m1_rmod_4 C A B) (tptp.m1_rmod_4 D A B)) (=> (tptp.r1_rmod_4 A B C D) (tptp.r1_rmod_4 A B D C)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$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) (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.v5_vectsp_2 B A) (tptp.l1_vectsp_2 B A) (tptp.m1_rmod_4 C A B) (tptp.m1_rmod_4 D A B)) (tptp.r1_rmod_4 A B C C))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$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) (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.v5_vectsp_2 B A) (tptp.l1_vectsp_2 B A) (tptp.m1_rmod_4 C A B) (tptp.m1_rmod_4 D A B)) (= (tptp.r1_rmod_4 A B C D) (= C D)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v6_vectsp_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A) (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v5_vectsp_2 B A) (tptp.l1_vectsp_2 B A) (tptp.v1_finset_1 C) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 _let_1))) (tptp.m1_subset_1 (tptp.k1_rmod_4 A B C) _let_1)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k2_rmod_4 A B C))) (=> (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) (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.v5_vectsp_2 B A) (tptp.l1_vectsp_2 B A) (tptp.m1_rmod_4 C A B)) (and (tptp.v1_finset_1 _let_1) (tptp.m1_subset_1 _let_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B))))))) (forall ((A $$unsorted) (B $$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) (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.v5_vectsp_2 B A) (tptp.l1_vectsp_2 B A)) (tptp.m1_rmod_4 (tptp.k3_rmod_4 A B) A B))) (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 (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) (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.v5_vectsp_2 B A) (tptp.l1_vectsp_2 B A) (tptp.m1_finseq_1 C _let_1) (tptp.v1_funct_1 D) (tptp.v1_funct_2 D _let_1 _let_2) (tptp.m1_relset_1 D _let_1 _let_2)) (tptp.m2_finseq_1 (tptp.k4_rmod_4 A B C D) _let_1))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v6_vectsp_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A) (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v5_vectsp_2 B A) (tptp.l1_vectsp_2 B A) (tptp.m1_rmod_4 C A B)) (tptp.m1_subset_1 (tptp.k5_rmod_4 A B C) (tptp.u1_struct_0 B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v6_vectsp_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A) (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v5_vectsp_2 B A) (tptp.l1_vectsp_2 B A) (tptp.m1_rmod_4 C A B) (tptp.m1_rmod_4 D A B)) (tptp.m1_rmod_4 (tptp.k6_rmod_4 A B C D) A B))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v6_vectsp_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A) (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v5_vectsp_2 B A) (tptp.l1_vectsp_2 B A) (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (tptp.m1_rmod_4 D A B)) (tptp.m1_rmod_4 (tptp.k7_rmod_4 A B C D) A B))) (forall ((A $$unsorted) (B $$unsorted) (C $$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) (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.v5_vectsp_2 B A) (tptp.l1_vectsp_2 B A) (tptp.m1_rmod_4 C A B)) (tptp.m1_rmod_4 (tptp.k8_rmod_4 A B C) A B))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v6_vectsp_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A) (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v5_vectsp_2 B A) (tptp.l1_vectsp_2 B A) (tptp.m1_rmod_4 C A B)) (= (tptp.k8_rmod_4 A B (tptp.k8_rmod_4 A B C)) C))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v6_vectsp_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A) (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v5_vectsp_2 B A) (tptp.l1_vectsp_2 B A) (tptp.m1_rmod_4 C A B) (tptp.m1_rmod_4 D A B)) (tptp.m1_rmod_4 (tptp.k9_rmod_4 A B C D) A B))) (forall ((A $$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.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 $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v5_vectsp_2 B A) (tptp.l1_vectsp_2 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_rmod_4 C A B) (= (tptp.k2_rmod_4 A B C) (tptp.a_3_0_rmod_4 A B C)))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$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.v4_group_1 B) (tptp.v6_vectsp_1 B) (tptp.v7_vectsp_1 B) (tptp.v8_vectsp_1 B) (tptp.l3_vectsp_1 B) (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.v5_vectsp_2 C B) (tptp.l1_vectsp_2 C B) (tptp.m1_rmod_4 D B C)) (= (tptp.r2_hidden A (tptp.a_3_0_rmod_4 B C D)) (exists ((E $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 C))) (and (tptp.m1_subset_1 E _let_1) (= A E) (not (= (tptp.k8_funct_2 _let_1 (tptp.u1_struct_0 B) D E) (tptp.k1_rlvect_1 B))))))))) (forall ((A $$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.v6_vectsp_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v5_vectsp_2 B A) (tptp.l1_vectsp_2 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B))) (= (tptp.v1_rmod_5 C A B) (forall ((D $$unsorted)) (=> (tptp.m2_rmod_4 D A B C) (=> (= (tptp.k5_rmod_4 A B D) (tptp.k1_rlvect_1 B)) (= (tptp.k2_rmod_4 A B D) tptp.k1_xboole_0))))))))))) true (forall ((A $$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.v6_vectsp_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v5_vectsp_2 B A) (tptp.l1_vectsp_2 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B))) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B))) (=> (and (tptp.r1_tarski C D) (tptp.v1_rmod_5 D A B)) (tptp.v1_rmod_5 C A B)))))))))) (forall ((A $$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.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 $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v5_vectsp_2 B A) (tptp.l1_vectsp_2 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B))) (not (and (not (= (tptp.k1_rlvect_1 A) (tptp.k2_group_1 A))) (tptp.v1_rmod_5 C A B) (tptp.r2_hidden (tptp.k1_rlvect_1 B) C))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v6_vectsp_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v5_vectsp_2 B A) (tptp.l1_vectsp_2 B A)) (tptp.v1_rmod_5 (tptp.k1_subset_1 (tptp.u1_struct_0 B)) A B))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v6_vectsp_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v5_vectsp_2 B A) (tptp.l1_vectsp_2 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 B)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k1_rlvect_1 B))) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 B)) (=> (tptp.v1_rmod_5 (tptp.k8_rlvect_2 B C D) A B) (or (= (tptp.k1_rlvect_1 A) (tptp.k2_group_1 A)) (and (not (= C _let_1)) (not (= D _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.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v5_vectsp_2 B A) (tptp.l1_vectsp_2 B A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k1_rlvect_1 B))) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 B)) (=> (not (= (tptp.k1_rlvect_1 A) (tptp.k2_group_1 A))) (and (not (tptp.v1_rmod_5 (tptp.k8_rlvect_2 B C _let_1) A B)) (not (tptp.v1_rmod_5 (tptp.k8_rlvect_2 B _let_1 C) A B))))))))))) true true (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v4_group_1 B) (tptp.v7_group_1 B) (tptp.v6_vectsp_1 B) (tptp.v7_vectsp_1 B) (tptp.v8_vectsp_1 B) (not (tptp.v10_vectsp_1 B)) (tptp.v2_vectsp_2 B) (tptp.l3_vectsp_1 B)) (forall ((C $$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.v5_vectsp_2 C B) (tptp.l1_vectsp_2 C B)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 C))) (= (tptp.r1_rlvect_1 (tptp.k1_rmod_5 B C D) A) (exists ((E $$unsorted)) (and (tptp.m2_rmod_4 E B C D) (= A (tptp.k5_rmod_4 B C E))))))))))) (forall ((A $$unsorted) (B $$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.v4_group_1 B) (tptp.v7_group_1 B) (tptp.v6_vectsp_1 B) (tptp.v7_vectsp_1 B) (tptp.v8_vectsp_1 B) (not (tptp.v10_vectsp_1 B)) (tptp.v2_vectsp_2 B) (tptp.l3_vectsp_1 B)) (forall ((C $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.v3_rlvect_1 C) (tptp.v4_rlvect_1 C) (tptp.v5_rlvect_1 C) (tptp.v6_rlvect_1 C) (tptp.v5_vectsp_2 C B) (tptp.l1_vectsp_2 C B)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 C))) (=> (tptp.r2_hidden A D) (tptp.r1_rlvect_1 (tptp.k1_rmod_5 B C D) A)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v7_group_1 A) (tptp.v6_vectsp_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (not (tptp.v10_vectsp_1 A)) (tptp.v2_vectsp_2 A) (tptp.l3_vectsp_1 A)) (forall ((B $$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.v5_vectsp_2 B A) (tptp.l1_vectsp_2 B A)) (= (tptp.k1_rmod_5 A B (tptp.k1_subset_1 (tptp.u1_struct_0 B))) (tptp.k1_rmod_2 A B)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v7_group_1 A) (tptp.v6_vectsp_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (not (tptp.v10_vectsp_1 A)) (tptp.v2_vectsp_2 A) (tptp.l3_vectsp_1 A)) (forall ((B $$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.v5_vectsp_2 B A) (tptp.l1_vectsp_2 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B))) (not (and (= (tptp.k1_rmod_5 A B C) (tptp.k1_rmod_2 A B)) (not (= C tptp.k1_xboole_0)) (not (= C (tptp.k7_rlvect_2 B (tptp.k1_rlvect_1 B)))))))))))) (forall ((A $$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.v6_vectsp_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (not (tptp.v10_vectsp_1 A)) (tptp.v2_vectsp_2 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v5_vectsp_2 B A) (tptp.l1_vectsp_2 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B))) (forall ((D $$unsorted)) (=> (and (tptp.v3_vectsp_2 D A) (tptp.m1_rmod_2 D A B)) (=> (= C (tptp.u1_struct_0 D)) (or (= (tptp.k1_rlvect_1 A) (tptp.k2_group_1 A)) (= (tptp.k1_rmod_5 A B C) D))))))))))) (forall ((A $$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.v7_group_1 A) (tptp.v6_vectsp_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (not (tptp.v10_vectsp_1 A)) (tptp.v2_vectsp_2 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v3_vectsp_2 B A) (tptp.v5_vectsp_2 B A) (tptp.l1_vectsp_2 B A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 _let_1)) (=> (= C _let_1) (or (= (tptp.k1_rlvect_1 A) (tptp.k2_group_1 A)) (= (tptp.k1_rmod_5 A B C) B)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v7_group_1 A) (tptp.v6_vectsp_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (not (tptp.v10_vectsp_1 A)) (tptp.v2_vectsp_2 A) (tptp.l3_vectsp_1 A)) (forall ((B $$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.v5_vectsp_2 B A) (tptp.l1_vectsp_2 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B))) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B))) (=> (tptp.r1_tarski C D) (tptp.m1_rmod_2 (tptp.k1_rmod_5 A B C) A (tptp.k1_rmod_5 A B D))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v7_group_1 A) (tptp.v6_vectsp_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (not (tptp.v10_vectsp_1 A)) (tptp.v2_vectsp_2 A) (tptp.l3_vectsp_1 A)) (forall ((B $$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.v3_vectsp_2 B A) (tptp.v5_vectsp_2 B A) (tptp.l1_vectsp_2 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B))) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B))) (=> (and (= (tptp.k1_rmod_5 A B C) B) (tptp.r1_tarski C D)) (= (tptp.k1_rmod_5 A B D) B)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v7_group_1 A) (tptp.v6_vectsp_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (not (tptp.v10_vectsp_1 A)) (tptp.v2_vectsp_2 A) (tptp.l3_vectsp_1 A)) (forall ((B $$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.v5_vectsp_2 B A) (tptp.l1_vectsp_2 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B))) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 _let_1)) (= (tptp.k1_rmod_5 A B (tptp.k4_subset_1 _let_1 C D)) (tptp.k1_rmod_3 A B (tptp.k1_rmod_5 A B C) (tptp.k1_rmod_5 A B D)))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v7_group_1 A) (tptp.v6_vectsp_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (not (tptp.v10_vectsp_1 A)) (tptp.v2_vectsp_2 A) (tptp.l3_vectsp_1 A)) (forall ((B $$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.v5_vectsp_2 B A) (tptp.l1_vectsp_2 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B))) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 _let_1)) (tptp.m1_rmod_2 (tptp.k1_rmod_5 A B (tptp.k5_subset_1 _let_1 C D)) A (tptp.k2_rmod_3 A B (tptp.k1_rmod_5 A B C) (tptp.k1_rmod_5 A B D)))))))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k1_rmod_5 A B C))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v7_group_1 A) (tptp.v6_vectsp_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (not (tptp.v10_vectsp_1 A)) (tptp.v2_vectsp_2 A) (tptp.l3_vectsp_1 A) (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v5_vectsp_2 B A) (tptp.l1_vectsp_2 B A) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B)))) (and (tptp.v3_vectsp_2 _let_1 A) (tptp.m1_rmod_2 _let_1 A B))))) (forall ((A $$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.v4_group_1 A) (tptp.v7_group_1 A) (tptp.v6_vectsp_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (not (tptp.v10_vectsp_1 A)) (tptp.v2_vectsp_2 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v5_vectsp_2 B A) (tptp.l1_vectsp_2 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B))) (forall ((D $$unsorted)) (=> (and (tptp.v3_vectsp_2 D A) (tptp.m1_rmod_2 D A B)) (= (= D (tptp.k1_rmod_5 A B C)) (= (tptp.u1_struct_0 D) (tptp.a_3_0_rmod_5 A B C))))))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v4_group_1 B) (tptp.v7_group_1 B) (tptp.v6_vectsp_1 B) (tptp.v7_vectsp_1 B) (tptp.v8_vectsp_1 B) (not (tptp.v10_vectsp_1 B)) (tptp.v2_vectsp_2 B) (tptp.l3_vectsp_1 B) (not (tptp.v3_struct_0 C)) (tptp.v3_rlvect_1 C) (tptp.v4_rlvect_1 C) (tptp.v5_rlvect_1 C) (tptp.v6_rlvect_1 C) (tptp.v5_vectsp_2 C B) (tptp.l1_vectsp_2 C B) (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 C)))) (= (tptp.r2_hidden A (tptp.a_3_0_rmod_5 B C D)) (exists ((E $$unsorted)) (and (tptp.m2_rmod_4 E B C D) (= A (tptp.k5_rmod_4 B C E))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.u2_cat_1 A))) (let ((_let_2 (tptp.g1_cat_1 (tptp.u1_cat_1 A) _let_1 (tptp.u4_cat_1 A) (tptp.u3_cat_1 A) (tptp.k1_oppcat_1 _let_1 _let_1 _let_1 (tptp.u5_cat_1 A)) (tptp.u6_cat_1 A)))) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A)) (and (tptp.v2_cat_1 _let_2) (tptp.l1_cat_1 _let_2)))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.u2_cat_1 A))) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A)) (= (tptp.k2_oppcat_1 A) (tptp.g1_cat_1 (tptp.u1_cat_1 A) _let_1 (tptp.u4_cat_1 A) (tptp.u3_cat_1 A) (tptp.k1_oppcat_1 _let_1 _let_1 _let_1 (tptp.u5_cat_1 A)) (tptp.u6_cat_1 A)))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A)) (= (tptp.k2_oppcat_1 (tptp.k2_oppcat_1 A)) (tptp.g1_cat_1 (tptp.u1_cat_1 A) (tptp.u2_cat_1 A) (tptp.u3_cat_1 A) (tptp.u4_cat_1 A) (tptp.u5_cat_1 A) (tptp.u6_cat_1 A))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_cat_1 A)) (= (tptp.k3_oppcat_1 A B) B))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k2_oppcat_1 A))) (=> (tptp.m1_subset_1 B (tptp.u1_cat_1 _let_1)) (= (tptp.k4_oppcat_1 A B) (tptp.k3_oppcat_1 _let_1 B))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_cat_1 A)) (= (tptp.k3_oppcat_1 (tptp.k2_oppcat_1 A) (tptp.k3_oppcat_1 A B)) B))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_cat_1 A)) (= (tptp.k4_oppcat_1 A (tptp.k3_oppcat_1 A B)) B))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_cat_1 (tptp.k2_oppcat_1 A))) (= (tptp.k3_oppcat_1 A (tptp.k4_oppcat_1 A B)) B))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u2_cat_1 A)) (= (tptp.k5_oppcat_1 A B) B))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k2_oppcat_1 A))) (=> (tptp.m1_subset_1 B (tptp.u2_cat_1 _let_1)) (= (tptp.k6_oppcat_1 A B) (tptp.k5_oppcat_1 _let_1 B))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u2_cat_1 A)) (= (tptp.k5_oppcat_1 (tptp.k2_oppcat_1 A) (tptp.k5_oppcat_1 A B)) B))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u2_cat_1 A)) (= (tptp.k6_oppcat_1 A (tptp.k5_oppcat_1 A B)) B))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u2_cat_1 (tptp.k2_oppcat_1 A))) (= (tptp.k5_oppcat_1 A (tptp.k6_oppcat_1 A B)) B))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k5_oppcat_1 A B))) (let ((_let_2 (tptp.k2_oppcat_1 A))) (=> (tptp.m1_subset_1 B (tptp.u2_cat_1 A)) (and (= (tptp.k2_cat_1 _let_2 _let_1) (tptp.k3_cat_1 A B)) (= (tptp.k3_cat_1 _let_2 _let_1) (tptp.k2_cat_1 A B))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k2_oppcat_1 A))) (let ((_let_2 (tptp.k6_oppcat_1 A B))) (=> (tptp.m1_subset_1 B (tptp.u2_cat_1 _let_1)) (and (= (tptp.k2_cat_1 A _let_2) (tptp.k3_cat_1 _let_1 B)) (= (tptp.k3_cat_1 A _let_2) (tptp.k2_cat_1 _let_1 B))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k5_oppcat_1 A B))) (let ((_let_2 (tptp.k2_oppcat_1 A))) (=> (tptp.m1_subset_1 B (tptp.u2_cat_1 A)) (and (= (tptp.k3_oppcat_1 A (tptp.k2_cat_1 A B)) (tptp.k3_cat_1 _let_2 _let_1)) (= (tptp.k3_oppcat_1 A (tptp.k3_cat_1 A B)) (tptp.k2_cat_1 _let_2 _let_1))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k6_oppcat_1 A B))) (let ((_let_2 (tptp.k2_oppcat_1 A))) (=> (tptp.m1_subset_1 B (tptp.u2_cat_1 _let_2)) (and (= (tptp.k4_oppcat_1 A (tptp.k2_cat_1 _let_2 B)) (tptp.k3_cat_1 A _let_1)) (= (tptp.k4_oppcat_1 A (tptp.k3_cat_1 _let_2 B)) (tptp.k2_cat_1 A _let_1))))))))) (forall ((A $$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 $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u2_cat_1 A)) (= (tptp.r2_hidden D (tptp.k6_cat_1 A B C)) (tptp.r2_hidden (tptp.k5_oppcat_1 A D) (tptp.k6_cat_1 (tptp.k2_oppcat_1 A) (tptp.k3_oppcat_1 A C) (tptp.k3_oppcat_1 A B)))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_cat_1 (tptp.k2_oppcat_1 A))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_cat_1 (tptp.k2_oppcat_1 A))) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k2_oppcat_1 A))) (=> (tptp.m1_subset_1 D (tptp.u2_cat_1 _let_1)) (= (tptp.r2_hidden D (tptp.k6_cat_1 _let_1 B C)) (tptp.r2_hidden (tptp.k6_oppcat_1 A D) (tptp.k6_cat_1 A (tptp.k4_oppcat_1 A C) (tptp.k4_oppcat_1 A B))))))))))))) (forall ((A $$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 $$unsorted)) (=> (tptp.m1_cat_1 D A B C) (=> (not (= (tptp.k6_cat_1 A B C) tptp.k1_xboole_0)) (tptp.m1_cat_1 (tptp.k5_oppcat_1 A D) (tptp.k2_oppcat_1 A) (tptp.k3_oppcat_1 A C) (tptp.k3_oppcat_1 A B))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_cat_1 (tptp.k2_oppcat_1 A))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_cat_1 (tptp.k2_oppcat_1 A))) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k2_oppcat_1 A))) (=> (tptp.m1_cat_1 D _let_1 B C) (=> (not (= (tptp.k6_cat_1 _let_1 B C) tptp.k1_xboole_0)) (tptp.m1_cat_1 (tptp.k6_oppcat_1 A D) A (tptp.k4_oppcat_1 A C) (tptp.k4_oppcat_1 A B)))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u2_cat_1 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u2_cat_1 A)) (=> (= (tptp.k2_cat_1 A C) (tptp.k3_cat_1 A B)) (= (tptp.k5_oppcat_1 A (tptp.k4_cat_1 A B C)) (tptp.k4_cat_1 (tptp.k2_oppcat_1 A) (tptp.k5_oppcat_1 A C) (tptp.k5_oppcat_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.u2_cat_1 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k5_oppcat_1 A B))) (let ((_let_2 (tptp.k5_oppcat_1 A C))) (let ((_let_3 (tptp.k2_oppcat_1 A))) (=> (tptp.m1_subset_1 C (tptp.u2_cat_1 A)) (=> (= (tptp.k3_cat_1 _let_3 _let_2) (tptp.k2_cat_1 _let_3 _let_1)) (= (tptp.k5_oppcat_1 A (tptp.k4_cat_1 A B C)) (tptp.k4_cat_1 _let_3 _let_2 _let_1)))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u2_cat_1 (tptp.k2_oppcat_1 A))) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k2_oppcat_1 A))) (=> (tptp.m1_subset_1 C (tptp.u2_cat_1 _let_1)) (=> (= (tptp.k2_cat_1 _let_1 C) (tptp.k3_cat_1 _let_1 B)) (= (tptp.k6_oppcat_1 A (tptp.k4_cat_1 _let_1 B C)) (tptp.k4_cat_1 A (tptp.k6_oppcat_1 A C) (tptp.k6_oppcat_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_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.k5_oppcat_1 A (tptp.k9_cat_1 A B C D E F)) (tptp.k4_cat_1 (tptp.k2_oppcat_1 A) (tptp.k5_oppcat_1 A F) (tptp.k5_oppcat_1 A 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.k5_oppcat_1 A (tptp.k10_cat_1 A B)) (tptp.k10_cat_1 (tptp.k2_oppcat_1 A) (tptp.k3_oppcat_1 A B))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k2_oppcat_1 A))) (=> (tptp.m1_subset_1 B (tptp.u1_cat_1 _let_1)) (= (tptp.k6_oppcat_1 A (tptp.k10_cat_1 _let_1 B)) (tptp.k10_cat_1 A (tptp.k4_oppcat_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.u2_cat_1 A)) (= (tptp.v3_cat_1 (tptp.k5_oppcat_1 A B) (tptp.k2_oppcat_1 A)) (tptp.v4_cat_1 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.u2_cat_1 A)) (= (tptp.v4_cat_1 (tptp.k5_oppcat_1 A B) (tptp.k2_oppcat_1 A)) (tptp.v3_cat_1 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.u2_cat_1 A)) (= (tptp.v5_cat_1 (tptp.k5_oppcat_1 A B) (tptp.k2_oppcat_1 A)) (tptp.v5_cat_1 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)) (= (tptp.v7_cat_1 B A) (tptp.v6_cat_1 (tptp.k3_oppcat_1 A B) (tptp.k2_oppcat_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.v7_cat_1 (tptp.k3_oppcat_1 A B) (tptp.k2_oppcat_1 A)) (tptp.v6_cat_1 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)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u2_cat_1 B))) (let ((_let_2 (tptp.u2_cat_1 (tptp.k2_oppcat_1 A)))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.m2_relset_1 C _let_2 _let_1)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u2_cat_1 B))) (let ((_let_2 (tptp.u2_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.k7_oppcat_1 A B C)) (forall ((E $$unsorted)) (let ((_let_1 (tptp.u2_cat_1 B))) (let ((_let_2 (tptp.u2_cat_1 A))) (=> (tptp.m1_subset_1 E _let_2) (= (tptp.k8_funct_2 _let_2 _let_1 D E) (tptp.k8_funct_2 (tptp.u2_cat_1 (tptp.k2_oppcat_1 A)) _let_1 C (tptp.k5_oppcat_1 A E)))))))))))))))))))) (forall ((A $$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)) (let ((_let_1 (tptp.u2_cat_1 B))) (let ((_let_2 (tptp.u2_cat_1 (tptp.k2_oppcat_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 $$unsorted)) (let ((_let_1 (tptp.u2_cat_1 B))) (let ((_let_2 (tptp.u2_cat_1 (tptp.k2_oppcat_1 A)))) (=> (tptp.m1_subset_1 D _let_2) (= (tptp.k8_funct_2 (tptp.u2_cat_1 A) _let_1 (tptp.k7_oppcat_1 A B C) (tptp.k6_oppcat_1 A D)) (tptp.k8_funct_2 _let_2 _let_1 C D)))))))))))))) (forall ((A $$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 (tptp.k2_oppcat_1 A) B) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k2_oppcat_1 A))) (let ((_let_2 (tptp.u1_cat_1 B))) (let ((_let_3 (tptp.u1_cat_1 A))) (=> (tptp.m1_subset_1 D _let_3) (= (tptp.k8_funct_2 _let_3 _let_2 (tptp.k12_cat_1 A B (tptp.k7_oppcat_1 A B C)) D) (tptp.k8_funct_2 (tptp.u1_cat_1 _let_1) _let_2 (tptp.k12_cat_1 _let_1 B C) (tptp.k3_oppcat_1 A D)))))))))))))) (forall ((A $$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 (tptp.k2_oppcat_1 A) B) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k2_oppcat_1 A))) (let ((_let_2 (tptp.u1_cat_1 B))) (let ((_let_3 (tptp.u1_cat_1 _let_1))) (=> (tptp.m1_subset_1 D _let_3) (= (tptp.k8_funct_2 (tptp.u1_cat_1 A) _let_2 (tptp.k12_cat_1 A B (tptp.k7_oppcat_1 A B C)) (tptp.k4_oppcat_1 A D)) (tptp.k8_funct_2 _let_3 _let_2 (tptp.k12_cat_1 _let_1 B C) D))))))))))))) (forall ((A $$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)) (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.m1_oppcat_1 C A B) (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 $$unsorted)) (let ((_let_1 (tptp.u2_cat_1 B))) (let ((_let_2 (tptp.u2_cat_1 A))) (let ((_let_3 (tptp.k8_funct_2 _let_2 _let_1 C D))) (=> (tptp.m1_subset_1 D _let_2) (and (= (tptp.k8_funct_2 _let_2 _let_1 C (tptp.k10_cat_1 A (tptp.k2_cat_1 A D))) (tptp.k10_cat_1 B (tptp.k3_cat_1 B _let_3))) (= (tptp.k8_funct_2 _let_2 _let_1 C (tptp.k10_cat_1 A (tptp.k3_cat_1 A D))) (tptp.k10_cat_1 B (tptp.k2_cat_1 B _let_3))))))))) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u2_cat_1 A)) (forall ((E $$unsorted)) (let ((_let_1 (tptp.u2_cat_1 B))) (let ((_let_2 (tptp.u2_cat_1 A))) (=> (tptp.m1_subset_1 E _let_2) (=> (= (tptp.k2_cat_1 A E) (tptp.k3_cat_1 A D)) (= (tptp.k8_funct_2 _let_2 _let_1 C (tptp.k4_cat_1 A D E)) (tptp.k4_cat_1 B (tptp.k8_funct_2 _let_2 _let_1 C E) (tptp.k8_funct_2 _let_2 _let_1 C D)))))))))))))))))))) (forall ((A $$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.m1_oppcat_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 $$unsorted)) (=> (tptp.m1_oppcat_1 C A B) (forall ((D $$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 $$unsorted)) (=> (tptp.m1_oppcat_1 C A B) (forall ((D $$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.k3_cat_1 B _let_2)) (= (tptp.k8_funct_2 _let_5 _let_4 _let_3 (tptp.k3_cat_1 A D)) (tptp.k2_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 $$unsorted)) (=> (tptp.m1_oppcat_1 C A B) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u2_cat_1 A)) (forall ((E $$unsorted)) (let ((_let_1 (tptp.u2_cat_1 B))) (let ((_let_2 (tptp.u2_cat_1 A))) (=> (tptp.m1_subset_1 E _let_2) (=> (= (tptp.k2_cat_1 A E) (tptp.k3_cat_1 A D)) (= (tptp.k2_cat_1 B (tptp.k8_funct_2 _let_2 _let_1 C D)) (tptp.k3_cat_1 B (tptp.k8_funct_2 _let_2 _let_1 C E)))))))))))))))) (forall ((A $$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 (tptp.k2_oppcat_1 A) B) (tptp.m1_oppcat_1 (tptp.k7_oppcat_1 A B 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 $$unsorted)) (=> (and (tptp.v2_cat_1 C) (tptp.l1_cat_1 C)) (forall ((D $$unsorted)) (=> (tptp.m1_oppcat_1 D A B) (forall ((E $$unsorted)) (=> (tptp.m1_oppcat_1 E B C) (tptp.m2_cat_1 (tptp.k7_funct_2 (tptp.u2_cat_1 A) (tptp.u2_cat_1 B) (tptp.u2_cat_1 C) D E) A C))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v2_cat_1 B) (tptp.l1_cat_1 B)) (forall ((C $$unsorted)) (=> (tptp.m1_oppcat_1 C (tptp.k2_oppcat_1 A) B) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k2_oppcat_1 A))) (let ((_let_2 (tptp.u1_cat_1 B))) (let ((_let_3 (tptp.u1_cat_1 A))) (=> (tptp.m1_subset_1 D _let_3) (= (tptp.k8_funct_2 _let_3 _let_2 (tptp.k12_cat_1 A B (tptp.k7_oppcat_1 A B C)) D) (tptp.k8_funct_2 (tptp.u1_cat_1 _let_1) _let_2 (tptp.k12_cat_1 _let_1 B C) (tptp.k3_oppcat_1 A D)))))))))))))) (forall ((A $$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_oppcat_1 C (tptp.k2_oppcat_1 A) B) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k2_oppcat_1 A))) (let ((_let_2 (tptp.u1_cat_1 B))) (let ((_let_3 (tptp.u1_cat_1 _let_1))) (=> (tptp.m1_subset_1 D _let_3) (= (tptp.k8_funct_2 (tptp.u1_cat_1 A) _let_2 (tptp.k12_cat_1 A B (tptp.k7_oppcat_1 A B C)) (tptp.k4_oppcat_1 A D)) (tptp.k8_funct_2 _let_3 _let_2 (tptp.k12_cat_1 _let_1 B C) D))))))))))))) (forall ((A $$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.m1_oppcat_1 C (tptp.k2_oppcat_1 A) B) (tptp.m2_cat_1 (tptp.k7_oppcat_1 A B 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)) (let ((_let_1 (tptp.u2_cat_1 B))) (let ((_let_2 (tptp.u2_cat_1 (tptp.k2_oppcat_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.k8_oppcat_1 A B C)) (forall ((E $$unsorted)) (let ((_let_1 (tptp.u2_cat_1 B))) (let ((_let_2 (tptp.u2_cat_1 (tptp.k2_oppcat_1 A)))) (=> (tptp.m1_subset_1 E _let_2) (= (tptp.k8_funct_2 _let_2 _let_1 D E) (tptp.k8_funct_2 (tptp.u2_cat_1 A) _let_1 C (tptp.k6_oppcat_1 A E)))))))))))))))))))) (forall ((A $$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)) (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 $$unsorted)) (let ((_let_1 (tptp.u2_cat_1 (tptp.k2_oppcat_1 B)))) (let ((_let_2 (tptp.u2_cat_1 A))) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D _let_2 _let_1) (tptp.m2_relset_1 D _let_2 _let_1)) (= (= D (tptp.k9_oppcat_1 A B C)) (forall ((E $$unsorted)) (let ((_let_1 (tptp.u2_cat_1 A))) (=> (tptp.m1_subset_1 E _let_1) (= (tptp.k8_funct_2 _let_1 (tptp.u2_cat_1 (tptp.k2_oppcat_1 B)) D E) (tptp.k5_oppcat_1 B (tptp.k8_funct_2 _let_1 (tptp.u2_cat_1 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 $$unsorted)) (let ((_let_1 (tptp.u2_cat_1 B))) (let ((_let_2 (tptp.u2_cat_1 A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.m2_relset_1 C _let_2 _let_1)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u2_cat_1 B))) (let ((_let_2 (tptp.u2_cat_1 A))) (=> (tptp.m1_subset_1 D _let_2) (= (tptp.k8_funct_2 (tptp.u2_cat_1 (tptp.k2_oppcat_1 A)) _let_1 (tptp.k8_oppcat_1 A B C) (tptp.k5_oppcat_1 A D)) (tptp.k8_funct_2 _let_2 _let_1 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.u1_cat_1 B))) (let ((_let_2 (tptp.k2_oppcat_1 A))) (let ((_let_3 (tptp.u1_cat_1 _let_2))) (=> (tptp.m1_subset_1 D _let_3) (= (tptp.k8_funct_2 _let_3 _let_1 (tptp.k12_cat_1 _let_2 B (tptp.k8_oppcat_1 A B C)) D) (tptp.k8_funct_2 (tptp.u1_cat_1 A) _let_1 (tptp.k12_cat_1 A B C) (tptp.k4_oppcat_1 A 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.u1_cat_1 B))) (let ((_let_2 (tptp.u1_cat_1 A))) (let ((_let_3 (tptp.k2_oppcat_1 A))) (=> (tptp.m1_subset_1 D _let_2) (= (tptp.k8_funct_2 (tptp.u1_cat_1 _let_3) _let_1 (tptp.k12_cat_1 _let_3 B (tptp.k8_oppcat_1 A B C)) (tptp.k3_oppcat_1 A D)) (tptp.k8_funct_2 _let_2 _let_1 (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.u1_cat_1 A))) (let ((_let_2 (tptp.k2_oppcat_1 B))) (=> (tptp.m1_subset_1 D _let_1) (= (tptp.k8_funct_2 _let_1 (tptp.u1_cat_1 _let_2) (tptp.k12_cat_1 A _let_2 (tptp.k9_oppcat_1 A B C)) D) (tptp.k3_oppcat_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 $$unsorted)) (=> (tptp.m1_oppcat_1 C A B) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_cat_1 B))) (let ((_let_2 (tptp.k2_oppcat_1 A))) (let ((_let_3 (tptp.u1_cat_1 _let_2))) (=> (tptp.m1_subset_1 D _let_3) (= (tptp.k8_funct_2 _let_3 _let_1 (tptp.k12_cat_1 _let_2 B (tptp.k8_oppcat_1 A B C)) D) (tptp.k8_funct_2 (tptp.u1_cat_1 A) _let_1 (tptp.k12_cat_1 A B C) (tptp.k4_oppcat_1 A 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 $$unsorted)) (=> (tptp.m1_oppcat_1 C A B) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_cat_1 B))) (let ((_let_2 (tptp.u1_cat_1 A))) (let ((_let_3 (tptp.k2_oppcat_1 A))) (=> (tptp.m1_subset_1 D _let_2) (= (tptp.k8_funct_2 (tptp.u1_cat_1 _let_3) _let_1 (tptp.k12_cat_1 _let_3 B (tptp.k8_oppcat_1 A B C)) (tptp.k3_oppcat_1 A D)) (tptp.k8_funct_2 _let_2 _let_1 (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 $$unsorted)) (=> (tptp.m1_oppcat_1 C A B) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_cat_1 A))) (let ((_let_2 (tptp.k2_oppcat_1 B))) (=> (tptp.m1_subset_1 D _let_1) (= (tptp.k8_funct_2 _let_1 (tptp.u1_cat_1 _let_2) (tptp.k12_cat_1 A _let_2 (tptp.k9_oppcat_1 A B C)) D) (tptp.k3_oppcat_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 $$unsorted)) (let ((_let_1 (tptp.u2_cat_1 B))) (let ((_let_2 (tptp.u2_cat_1 A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.m2_relset_1 C _let_2 _let_1)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u2_cat_1 A))) (let ((_let_2 (tptp.k2_oppcat_1 A))) (=> (tptp.m1_subset_1 D _let_1) (= (tptp.k8_funct_2 (tptp.u2_cat_1 _let_2) (tptp.u2_cat_1 (tptp.k2_oppcat_1 B)) (tptp.k9_oppcat_1 _let_2 B (tptp.k8_oppcat_1 A B C)) (tptp.k5_oppcat_1 A D)) (tptp.k5_oppcat_1 B (tptp.k8_funct_2 _let_1 (tptp.u2_cat_1 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 $$unsorted)) (let ((_let_1 (tptp.u2_cat_1 B))) (let ((_let_2 (tptp.u2_cat_1 A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.m2_relset_1 C _let_2 _let_1)) (= (tptp.k7_oppcat_1 A B (tptp.k8_oppcat_1 A B C)) C))))))))) (forall ((A $$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)) (let ((_let_1 (tptp.u2_cat_1 B))) (let ((_let_2 (tptp.u2_cat_1 (tptp.k2_oppcat_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.k8_oppcat_1 A B (tptp.k7_oppcat_1 A B C)) 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 $$unsorted)) (let ((_let_1 (tptp.u2_cat_1 B))) (let ((_let_2 (tptp.u2_cat_1 A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.m2_relset_1 C _let_2 _let_1)) (= (tptp.k9_oppcat_1 (tptp.k2_oppcat_1 A) B (tptp.k8_oppcat_1 A B C)) (tptp.k8_oppcat_1 A (tptp.k2_oppcat_1 B) (tptp.k9_oppcat_1 A B C))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_cat_1 B) (tptp.v2_cat_1 B) (tptp.l1_cat_1 B)) (forall ((C $$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.k9_oppcat_1 A (tptp.k2_oppcat_1 B) (tptp.k9_oppcat_1 A B C)) C))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_cat_1 B) (tptp.v2_cat_1 B) (tptp.l1_cat_1 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u2_cat_1 A))) (let ((_let_2 (tptp.u2_cat_1 B))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.m2_relset_1 C _let_2 _let_1)) (= (tptp.k8_oppcat_1 (tptp.k2_oppcat_1 B) A (tptp.k8_oppcat_1 B A C)) C))))))))) (forall ((A $$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 $$unsorted)) (let ((_let_1 (tptp.u2_cat_1 B))) (let ((_let_2 (tptp.u2_cat_1 A))) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D _let_2 _let_1) (tptp.m2_relset_1 D _let_2 _let_1)) (forall ((E $$unsorted)) (let ((_let_1 (tptp.u2_cat_1 C))) (let ((_let_2 (tptp.u2_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)) (= (tptp.k8_oppcat_1 A C (tptp.k7_funct_2 (tptp.u2_cat_1 A) _let_2 _let_1 D E)) (tptp.k7_funct_2 (tptp.u2_cat_1 (tptp.k2_oppcat_1 A)) _let_2 _let_1 (tptp.k8_oppcat_1 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 $$unsorted)) (=> (and (tptp.v2_cat_1 C) (tptp.l1_cat_1 C)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u2_cat_1 B))) (let ((_let_2 (tptp.u2_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 $$unsorted)) (let ((_let_1 (tptp.u2_cat_1 B))) (let ((_let_2 (tptp.u2_cat_1 A))) (let ((_let_3 (tptp.u2_cat_1 C))) (=> (and (tptp.v1_funct_1 E) (tptp.v1_funct_2 E _let_1 _let_3) (tptp.m2_relset_1 E _let_1 _let_3)) (= (tptp.k9_oppcat_1 A C (tptp.k7_funct_2 _let_2 _let_1 _let_3 D E)) (tptp.k7_funct_2 _let_2 _let_1 (tptp.u2_cat_1 (tptp.k2_oppcat_1 C)) D (tptp.k9_oppcat_1 B C E)))))))))))))))))) (forall ((A $$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)) (=> (and (tptp.v2_cat_1 C) (tptp.l1_cat_1 C)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u2_cat_1 B))) (let ((_let_2 (tptp.u2_cat_1 A))) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D _let_2 _let_1) (tptp.m2_relset_1 D _let_2 _let_1)) (forall ((E $$unsorted)) (let ((_let_1 (tptp.k2_oppcat_1 B))) (let ((_let_2 (tptp.k2_oppcat_1 A))) (let ((_let_3 (tptp.u2_cat_1 C))) (let ((_let_4 (tptp.u2_cat_1 B))) (=> (and (tptp.v1_funct_1 E) (tptp.v1_funct_2 E _let_4 _let_3) (tptp.m2_relset_1 E _let_4 _let_3)) (= (tptp.k9_oppcat_1 _let_2 C (tptp.k8_oppcat_1 A C (tptp.k7_funct_2 (tptp.u2_cat_1 A) _let_4 _let_3 D E))) (tptp.k7_funct_2 (tptp.u2_cat_1 _let_2) (tptp.u2_cat_1 _let_1) (tptp.u2_cat_1 (tptp.k2_oppcat_1 C)) (tptp.k9_oppcat_1 _let_2 B (tptp.k8_oppcat_1 A B D)) (tptp.k9_oppcat_1 _let_1 C (tptp.k8_oppcat_1 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 $$unsorted)) (=> (tptp.m1_oppcat_1 C A B) (tptp.m2_cat_1 (tptp.k8_oppcat_1 A B C) (tptp.k2_oppcat_1 A) B))))))) (forall ((A $$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_oppcat_1 C A B) (tptp.m2_cat_1 (tptp.k9_oppcat_1 A B C) A (tptp.k2_oppcat_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 $$unsorted)) (=> (tptp.m2_cat_1 C A B) (tptp.m1_oppcat_1 (tptp.k8_oppcat_1 A B C) (tptp.k2_oppcat_1 A) B))))))) (forall ((A $$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) (tptp.m1_oppcat_1 (tptp.k9_oppcat_1 A B C) A (tptp.k2_oppcat_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 $$unsorted)) (=> (and (tptp.v2_cat_1 C) (tptp.l1_cat_1 C)) (forall ((D $$unsorted)) (=> (tptp.m1_oppcat_1 D A B) (forall ((E $$unsorted)) (=> (tptp.m2_cat_1 E B C) (tptp.m1_oppcat_1 (tptp.k7_funct_2 (tptp.u2_cat_1 A) (tptp.u2_cat_1 B) (tptp.u2_cat_1 C) D E) A C))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A)) (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.m1_oppcat_1 E B C) (tptp.m1_oppcat_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 $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A)) (forall ((B $$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))) (let ((_let_2 (tptp.k2_oppcat_1 A))) (let ((_let_3 (tptp.k2_oppcat_1 B))) (=> (tptp.m1_subset_1 D _let_1) (= (tptp.k8_funct_2 (tptp.u1_cat_1 _let_2) (tptp.u1_cat_1 _let_3) (tptp.k12_cat_1 _let_2 _let_3 (tptp.k9_oppcat_1 _let_2 B (tptp.k8_oppcat_1 A B C))) (tptp.k3_oppcat_1 A D)) (tptp.k3_oppcat_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 $$unsorted)) (=> (tptp.m1_oppcat_1 C A B) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_cat_1 A))) (let ((_let_2 (tptp.k2_oppcat_1 A))) (let ((_let_3 (tptp.k2_oppcat_1 B))) (=> (tptp.m1_subset_1 D _let_1) (= (tptp.k8_funct_2 (tptp.u1_cat_1 _let_2) (tptp.u1_cat_1 _let_3) (tptp.k12_cat_1 _let_2 _let_3 (tptp.k9_oppcat_1 _let_2 B (tptp.k8_oppcat_1 A B C))) (tptp.k3_oppcat_1 A D)) (tptp.k3_oppcat_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 $$unsorted)) (let ((_let_1 (tptp.k2_oppcat_1 A))) (=> (tptp.m2_cat_1 C A B) (tptp.m2_cat_1 (tptp.k9_oppcat_1 _let_1 B (tptp.k8_oppcat_1 A B C)) _let_1 (tptp.k2_oppcat_1 B))))))))) (forall ((A $$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)) (let ((_let_1 (tptp.k2_oppcat_1 A))) (=> (tptp.m1_oppcat_1 C A B) (tptp.m1_oppcat_1 (tptp.k9_oppcat_1 _let_1 B (tptp.k8_oppcat_1 A B C)) _let_1 (tptp.k2_oppcat_1 B))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A)) (= (tptp.k10_oppcat_1 A) (tptp.k9_oppcat_1 A A (tptp.k15_cat_1 A))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A)) (= (tptp.k11_oppcat_1 A) (tptp.k8_oppcat_1 A A (tptp.k15_cat_1 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 A))) (=> (tptp.m1_subset_1 B _let_1) (= (tptp.k8_funct_2 _let_1 (tptp.u2_cat_1 (tptp.k2_oppcat_1 A)) (tptp.k10_oppcat_1 A) B) (tptp.k5_oppcat_1 A B))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k2_oppcat_1 A))) (let ((_let_2 (tptp.u1_cat_1 A))) (=> (tptp.m1_subset_1 B _let_2) (= (tptp.k8_funct_2 _let_2 (tptp.u1_cat_1 _let_1) (tptp.k12_cat_1 A _let_1 (tptp.k10_oppcat_1 A)) B) (tptp.k3_oppcat_1 A B)))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u2_cat_1 (tptp.k2_oppcat_1 A)))) (=> (tptp.m1_subset_1 B _let_1) (= (tptp.k8_funct_2 _let_1 (tptp.u2_cat_1 A) (tptp.k11_oppcat_1 A) B) (tptp.k6_oppcat_1 A B))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k2_oppcat_1 A))) (let ((_let_2 (tptp.u1_cat_1 _let_1))) (=> (tptp.m1_subset_1 B _let_2) (= (tptp.k8_funct_2 _let_2 (tptp.u1_cat_1 A) (tptp.k12_cat_1 _let_1 A (tptp.k11_oppcat_1 A)) B) (tptp.k4_oppcat_1 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 $$unsorted)) (let ((_let_1 (tptp.u2_cat_1 B))) (let ((_let_2 (tptp.u2_cat_1 A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.m2_relset_1 C _let_2 _let_1)) (and (= (tptp.k8_oppcat_1 A B C) (tptp.k7_funct_2 (tptp.u2_cat_1 (tptp.k2_oppcat_1 A)) _let_2 _let_1 (tptp.k11_oppcat_1 A) C)) (= (tptp.k9_oppcat_1 A B C) (tptp.k7_funct_2 _let_2 _let_1 (tptp.u2_cat_1 (tptp.k2_oppcat_1 B)) C (tptp.k10_oppcat_1 B)))))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A) (tptp.v2_cat_1 B) (tptp.l1_cat_1 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u2_cat_1 B))) (let ((_let_2 (tptp.u2_cat_1 A))) (=> (tptp.m1_oppcat_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 $$unsorted)) (tptp.m1_oppcat_1 C A B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k1_oppcat_1 A B C D))) (=> (and (not (tptp.v1_xboole_0 A)) (not (tptp.v1_xboole_0 B)) (not (tptp.v1_xboole_0 C)) (tptp.v1_funct_1 D) (tptp.m1_relset_1 D (tptp.k2_zfmisc_1 A B) C)) (and (tptp.v1_funct_1 _let_1) (tptp.m2_relset_1 _let_1 (tptp.k2_zfmisc_1 B A) C))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (not (tptp.v1_xboole_0 B)) (not (tptp.v1_xboole_0 C)) (tptp.v1_funct_1 D) (tptp.m1_relset_1 D (tptp.k2_zfmisc_1 A B) C)) (= (tptp.k1_oppcat_1 A B C D) (tptp.k2_funct_4 D)))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k2_oppcat_1 A))) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A)) (and (tptp.v1_cat_1 _let_1) (tptp.v2_cat_1 _let_1) (tptp.l1_cat_1 _let_1))))) (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_subset_1 (tptp.k3_oppcat_1 A B) (tptp.u1_cat_1 (tptp.k2_oppcat_1 A))))) (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 (tptp.k2_oppcat_1 A)))) (tptp.m1_subset_1 (tptp.k4_oppcat_1 A B) (tptp.u1_cat_1 A)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A) (tptp.m1_subset_1 B (tptp.u2_cat_1 A))) (tptp.m1_subset_1 (tptp.k5_oppcat_1 A B) (tptp.u2_cat_1 (tptp.k2_oppcat_1 A))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A) (tptp.m1_subset_1 B (tptp.u2_cat_1 (tptp.k2_oppcat_1 A)))) (tptp.m1_subset_1 (tptp.k6_oppcat_1 A B) (tptp.u2_cat_1 A)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.u2_cat_1 B))) (let ((_let_2 (tptp.u2_cat_1 A))) (let ((_let_3 (tptp.k7_oppcat_1 A B C))) (let ((_let_4 (tptp.u2_cat_1 (tptp.k2_oppcat_1 A)))) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A) (tptp.v2_cat_1 B) (tptp.l1_cat_1 B) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_4 _let_1) (tptp.m1_relset_1 C _let_4 _let_1)) (and (tptp.v1_funct_1 _let_3) (tptp.v1_funct_2 _let_3 _let_2 _let_1) (tptp.m2_relset_1 _let_3 _let_2 _let_1)))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.u2_cat_1 B))) (let ((_let_2 (tptp.u2_cat_1 (tptp.k2_oppcat_1 A)))) (let ((_let_3 (tptp.k8_oppcat_1 A B C))) (let ((_let_4 (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_4 _let_1) (tptp.m1_relset_1 C _let_4 _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 $$unsorted)) (let ((_let_1 (tptp.u2_cat_1 (tptp.k2_oppcat_1 B)))) (let ((_let_2 (tptp.u2_cat_1 A))) (let ((_let_3 (tptp.k9_oppcat_1 A B C))) (let ((_let_4 (tptp.u2_cat_1 B))) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A) (tptp.v2_cat_1 B) (tptp.l1_cat_1 B) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_4) (tptp.m1_relset_1 C _let_2 _let_4)) (and (tptp.v1_funct_1 _let_3) (tptp.v1_funct_2 _let_3 _let_2 _let_1) (tptp.m2_relset_1 _let_3 _let_2 _let_1)))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A)) (tptp.m1_oppcat_1 (tptp.k10_oppcat_1 A) A (tptp.k2_oppcat_1 A)))) (forall ((A $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A)) (tptp.m1_oppcat_1 (tptp.k11_oppcat_1 A) (tptp.k2_oppcat_1 A) A))) (forall ((A $$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))))))) (and _let_37 (tptp.v3_lattices tptp.k6_nat_lat) (tptp.v4_lattices tptp.k6_nat_lat) (tptp.v5_lattices tptp.k6_nat_lat) (tptp.v6_lattices tptp.k6_nat_lat) (tptp.v7_lattices tptp.k6_nat_lat) (tptp.v8_lattices tptp.k6_nat_lat) (tptp.v9_lattices tptp.k6_nat_lat) _let_36) (and (not (tptp.v1_xboole_0 tptp.k7_nat_lat)) (tptp.v1_membered tptp.k7_nat_lat) (tptp.v2_membered tptp.k7_nat_lat) (tptp.v3_membered tptp.k7_nat_lat) (tptp.v4_membered tptp.k7_nat_lat) (tptp.v5_membered tptp.k7_nat_lat)) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A (tptp.k1_zfmisc_1 tptp.k1_numbers)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B A) (and (tptp.v1_xcmplx_0 B) (tptp.v1_xreal_0 B)))))) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A (tptp.k1_zfmisc_1 tptp.k5_numbers)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B A) (and (tptp.v1_xcmplx_0 B) (tptp.v1_xreal_0 B)))))) (and _let_33 (tptp.v3_lattices tptp.k13_nat_lat) (tptp.v4_lattices tptp.k13_nat_lat) (tptp.v5_lattices tptp.k13_nat_lat) (tptp.v6_lattices tptp.k13_nat_lat) (tptp.v7_lattices tptp.k13_nat_lat) (tptp.v8_lattices tptp.k13_nat_lat) (tptp.v9_lattices tptp.k13_nat_lat) _let_32) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (exists ((B $$unsorted)) (and (tptp.m2_nat_lat B A) (not (tptp.v3_struct_0 B)) (tptp.v3_lattices B) (tptp.v4_lattices B) (tptp.v5_lattices B) (tptp.v6_lattices B) (tptp.v7_lattices B) (tptp.v8_lattices B) (tptp.v9_lattices B) (tptp.v10_lattices B))))) true true (forall ((A $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 tptp.k5_numbers tptp.k5_numbers))) (=> (and (tptp.v1_funct_1 A) (tptp.v1_funct_2 A _let_1 tptp.k5_numbers) (tptp.m2_relset_1 A _let_1 tptp.k5_numbers)) (= (= A tptp.k1_nat_lat) (forall ((B $$unsorted)) (=> (tptp.m2_subset_1 B tptp.k1_numbers tptp.k5_numbers) (forall ((C $$unsorted)) (=> (tptp.m2_subset_1 C tptp.k1_numbers tptp.k5_numbers) (= (tptp.k2_binop_1 tptp.k5_numbers tptp.k5_numbers tptp.k5_numbers A B C) (tptp.k6_nat_1 B C)))))))))) (forall ((A $$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.k2_nat_lat) (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.k5_nat_1 B C)))))))))) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A (tptp.u1_struct_0 (tptp.g3_lattices tptp.k5_numbers tptp.k2_nat_lat tptp.k1_nat_lat))) (= (tptp.k3_nat_lat A) A))) true true true true true true true true true true true true true true true true true true true true true true true true true true true true true true true true true true true true true true true true true true true true true true true (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A (tptp.u1_struct_0 (tptp.g3_lattices tptp.k5_numbers tptp.k2_nat_lat tptp.k1_nat_lat))) (forall ((B $$unsorted)) (let ((_let_1 (tptp.g3_lattices tptp.k5_numbers tptp.k2_nat_lat tptp.k1_nat_lat))) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 _let_1)) (= (tptp.k1_lattices _let_1 A B) (tptp.k5_nat_1 (tptp.k3_nat_lat A) (tptp.k3_nat_lat B)))))))) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A (tptp.u1_struct_0 (tptp.g3_lattices tptp.k5_numbers tptp.k2_nat_lat tptp.k1_nat_lat))) (forall ((B $$unsorted)) (let ((_let_1 (tptp.g3_lattices tptp.k5_numbers tptp.k2_nat_lat tptp.k1_nat_lat))) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 _let_1)) (= (tptp.k2_lattices _let_1 A B) (tptp.k6_nat_1 (tptp.k3_nat_lat A) (tptp.k3_nat_lat B)))))))) true true (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A (tptp.u1_struct_0 (tptp.g3_lattices tptp.k5_numbers tptp.k2_nat_lat tptp.k1_nat_lat))) (forall ((B $$unsorted)) (let ((_let_1 (tptp.g3_lattices tptp.k5_numbers tptp.k2_nat_lat tptp.k1_nat_lat))) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 _let_1)) (=> (tptp.r1_lattices _let_1 A B) (tptp.r1_nat_1 (tptp.k3_nat_lat A) (tptp.k3_nat_lat B)))))))) (= tptp.k4_nat_lat tptp.np__1) (= tptp.k5_nat_lat tptp.np__0) true true (= (tptp.k3_nat_lat tptp.k4_nat_lat) tptp.np__1) (forall ((A $$unsorted)) (let ((_let_1 (tptp.g3_lattices tptp.k5_numbers tptp.k2_nat_lat tptp.k1_nat_lat))) (=> (tptp.m1_subset_1 A (tptp.u1_struct_0 _let_1)) (and (= (tptp.k2_lattices _let_1 tptp.k4_nat_lat A) tptp.k4_nat_lat) (= (tptp.k2_lattices _let_1 A tptp.k4_nat_lat) tptp.k4_nat_lat))))) (= tptp.k6_nat_lat _let_38) true true true (and _let_37 _let_36 (tptp.v13_lattices tptp.k6_nat_lat) _let_35) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A (tptp.u1_struct_0 tptp.k6_nat_lat)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 tptp.k6_nat_lat)) (= (tptp.k1_binop_1 tptp.k2_nat_lat A B) (tptp.k1_binop_1 tptp.k2_nat_lat B A)))))) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A (tptp.u1_struct_0 tptp.k6_nat_lat)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 tptp.k6_nat_lat)) (= (tptp.k1_binop_1 tptp.k1_nat_lat A B) (tptp.k1_binop_1 tptp.k1_nat_lat B A)))))) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A (tptp.u1_struct_0 tptp.k6_nat_lat)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 tptp.k6_nat_lat)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 tptp.k6_nat_lat)) (= (tptp.k1_binop_1 tptp.k2_nat_lat A (tptp.k1_binop_1 tptp.k2_nat_lat B C)) (tptp.k1_binop_1 tptp.k2_nat_lat (tptp.k1_binop_1 tptp.k2_nat_lat A B) C)))))))) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A (tptp.u1_struct_0 tptp.k6_nat_lat)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 tptp.k6_nat_lat)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k1_binop_1 tptp.k2_nat_lat A (tptp.k1_binop_1 tptp.k2_nat_lat B C)))) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 tptp.k6_nat_lat)) (and (= _let_1 (tptp.k1_binop_1 tptp.k2_nat_lat (tptp.k1_binop_1 tptp.k2_nat_lat B A) C)) (= _let_1 (tptp.k1_binop_1 tptp.k2_nat_lat (tptp.k1_binop_1 tptp.k2_nat_lat A C) B)) (= _let_1 (tptp.k1_binop_1 tptp.k2_nat_lat (tptp.k1_binop_1 tptp.k2_nat_lat C B) A)) (= _let_1 (tptp.k1_binop_1 tptp.k2_nat_lat (tptp.k1_binop_1 tptp.k2_nat_lat C A) B)))))))))) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A (tptp.u1_struct_0 tptp.k6_nat_lat)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 tptp.k6_nat_lat)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 tptp.k6_nat_lat)) (= (tptp.k1_binop_1 tptp.k1_nat_lat A (tptp.k1_binop_1 tptp.k1_nat_lat B C)) (tptp.k1_binop_1 tptp.k1_nat_lat (tptp.k1_binop_1 tptp.k1_nat_lat A B) C)))))))) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A (tptp.u1_struct_0 tptp.k6_nat_lat)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 tptp.k6_nat_lat)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k1_binop_1 tptp.k1_nat_lat A (tptp.k1_binop_1 tptp.k1_nat_lat B C)))) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 tptp.k6_nat_lat)) (and (= _let_1 (tptp.k1_binop_1 tptp.k1_nat_lat (tptp.k1_binop_1 tptp.k1_nat_lat B A) C)) (= _let_1 (tptp.k1_binop_1 tptp.k1_nat_lat (tptp.k1_binop_1 tptp.k1_nat_lat A C) B)) (= _let_1 (tptp.k1_binop_1 tptp.k1_nat_lat (tptp.k1_binop_1 tptp.k1_nat_lat C B) A)) (= _let_1 (tptp.k1_binop_1 tptp.k1_nat_lat (tptp.k1_binop_1 tptp.k1_nat_lat C A) B)))))))))) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A (tptp.u1_struct_0 tptp.k6_nat_lat)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k1_binop_1 tptp.k2_nat_lat A B))) (let ((_let_2 (tptp.k1_binop_1 tptp.k2_nat_lat B A))) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 tptp.k6_nat_lat)) (and (= (tptp.k1_binop_1 tptp.k1_nat_lat A _let_1) A) (= (tptp.k1_binop_1 tptp.k1_nat_lat _let_2 A) A) (= (tptp.k1_binop_1 tptp.k1_nat_lat A _let_2) A) (= (tptp.k1_binop_1 tptp.k1_nat_lat _let_1 A) A)))))))) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A (tptp.u1_struct_0 tptp.k6_nat_lat)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k1_binop_1 tptp.k1_nat_lat A B))) (let ((_let_2 (tptp.k1_binop_1 tptp.k1_nat_lat B A))) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 tptp.k6_nat_lat)) (and (= (tptp.k1_binop_1 tptp.k2_nat_lat A _let_1) A) (= (tptp.k1_binop_1 tptp.k2_nat_lat _let_2 A) A) (= (tptp.k1_binop_1 tptp.k2_nat_lat A _let_2) A) (= (tptp.k1_binop_1 tptp.k2_nat_lat _let_1 A) A)))))))) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A (tptp.k1_zfmisc_1 tptp.k5_numbers)) (= (= A tptp.k7_nat_lat) (forall ((B $$unsorted)) (=> (tptp.m2_subset_1 B tptp.k1_numbers tptp.k5_numbers) (= (tptp.r2_hidden B A) (not (tptp.r1_xreal_0 B tptp.np__0)))))))) (forall ((A $$unsorted)) (=> (tptp.m2_subset_1 A tptp.k1_numbers tptp.k5_numbers) (=> (not (tptp.r1_xreal_0 A tptp.np__0)) (= (tptp.k8_nat_lat A) A)))) (forall ((A $$unsorted)) (=> (tptp.m1_nat_lat A tptp.k1_numbers tptp.k5_numbers tptp.k7_nat_lat) (= (tptp.k9_nat_lat A) A))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 tptp.k7_nat_lat tptp.k7_nat_lat))) (=> (and (tptp.v1_funct_1 A) (tptp.v1_funct_2 A _let_1 tptp.k7_nat_lat) (tptp.m2_relset_1 A _let_1 tptp.k7_nat_lat)) (= (= A tptp.k10_nat_lat) (forall ((B $$unsorted)) (=> (tptp.m1_nat_lat B tptp.k1_numbers tptp.k5_numbers tptp.k7_nat_lat) (forall ((C $$unsorted)) (=> (tptp.m1_nat_lat C tptp.k1_numbers tptp.k5_numbers tptp.k7_nat_lat) (= (tptp.k2_binop_1 tptp.k7_nat_lat tptp.k7_nat_lat tptp.k7_nat_lat A B C) (tptp.k6_nat_1 B C)))))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 tptp.k7_nat_lat tptp.k7_nat_lat))) (=> (and (tptp.v1_funct_1 A) (tptp.v1_funct_2 A _let_1 tptp.k7_nat_lat) (tptp.m2_relset_1 A _let_1 tptp.k7_nat_lat)) (= (= A tptp.k11_nat_lat) (forall ((B $$unsorted)) (=> (tptp.m1_nat_lat B tptp.k1_numbers tptp.k5_numbers tptp.k7_nat_lat) (forall ((C $$unsorted)) (=> (tptp.m1_nat_lat C tptp.k1_numbers tptp.k5_numbers tptp.k7_nat_lat) (= (tptp.k2_binop_1 tptp.k7_nat_lat tptp.k7_nat_lat tptp.k7_nat_lat A B C) (tptp.k5_nat_1 B C)))))))))) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A (tptp.u1_struct_0 (tptp.g3_lattices tptp.k7_nat_lat tptp.k11_nat_lat tptp.k10_nat_lat))) (= (tptp.k12_nat_lat A) A))) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A (tptp.u1_struct_0 (tptp.g3_lattices tptp.k7_nat_lat tptp.k11_nat_lat tptp.k10_nat_lat))) (forall ((B $$unsorted)) (let ((_let_1 (tptp.g3_lattices tptp.k7_nat_lat tptp.k11_nat_lat tptp.k10_nat_lat))) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 _let_1)) (= (tptp.k1_lattices _let_1 A B) (tptp.k5_nat_1 (tptp.k12_nat_lat A) (tptp.k12_nat_lat B)))))))) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A (tptp.u1_struct_0 (tptp.g3_lattices tptp.k7_nat_lat tptp.k11_nat_lat tptp.k10_nat_lat))) (forall ((B $$unsorted)) (let ((_let_1 (tptp.g3_lattices tptp.k7_nat_lat tptp.k11_nat_lat tptp.k10_nat_lat))) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 _let_1)) (= (tptp.k2_lattices _let_1 A B) (tptp.k6_nat_1 (tptp.k12_nat_lat A) (tptp.k12_nat_lat B)))))))) (= tptp.k13_nat_lat (tptp.g3_lattices tptp.k7_nat_lat tptp.k11_nat_lat tptp.k10_nat_lat)) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v10_lattices B) (tptp.l3_lattices B)) (= (tptp.m2_nat_lat B A) (and (tptp.r1_tarski _let_1 (tptp.u1_struct_0 A)) (= (tptp.u2_lattices B) (tptp.k1_realset1 (tptp.u2_lattices A) _let_1)) (= (tptp.u1_lattices B) (tptp.k1_realset1 (tptp.u1_lattices A) _let_1))))))))) true true true true (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (tptp.m2_nat_lat A A))) (tptp.m2_nat_lat tptp.k13_nat_lat tptp.k6_nat_lat) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (not (tptp.v1_xboole_0 B)) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (not (tptp.v1_xboole_0 C)) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 B))) (forall ((D $$unsorted)) (=> (tptp.m1_nat_lat D A B C) (tptp.m2_subset_1 D A B))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (not (tptp.v1_xboole_0 B)) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (not (tptp.v1_xboole_0 C)) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 B))) (exists ((D $$unsorted)) (tptp.m1_nat_lat D A B C)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (not (tptp.v1_xboole_0 B)) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (not (tptp.v1_xboole_0 C)) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 B))) (forall ((D $$unsorted)) (= (tptp.m1_nat_lat D A B C) (tptp.m1_subset_1 D C))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m2_nat_lat B A) (and (not (tptp.v3_struct_0 B)) (tptp.v10_lattices B) (tptp.l3_lattices B)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (exists ((B $$unsorted)) (tptp.m2_nat_lat B A)))) (and (tptp.v1_funct_1 tptp.k1_nat_lat) (tptp.v1_funct_2 tptp.k1_nat_lat _let_40 tptp.k5_numbers) (tptp.m2_relset_1 tptp.k1_nat_lat _let_40 tptp.k5_numbers)) (and (tptp.v1_funct_1 tptp.k2_nat_lat) (tptp.v1_funct_2 tptp.k2_nat_lat _let_40 tptp.k5_numbers) (tptp.m2_relset_1 tptp.k2_nat_lat _let_40 tptp.k5_numbers)) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A (tptp.u1_struct_0 (tptp.g3_lattices tptp.k5_numbers tptp.k2_nat_lat tptp.k1_nat_lat))) (tptp.m2_subset_1 (tptp.k3_nat_lat A) tptp.k1_numbers tptp.k5_numbers))) (tptp.m1_subset_1 tptp.k4_nat_lat _let_39) (tptp.m1_subset_1 tptp.k5_nat_lat _let_39) (and _let_37 _let_36 _let_35) (tptp.m1_subset_1 tptp.k7_nat_lat (tptp.k1_zfmisc_1 tptp.k5_numbers)) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.k5_numbers) (tptp.m1_nat_lat (tptp.k8_nat_lat A) tptp.k1_numbers tptp.k5_numbers tptp.k7_nat_lat))) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.k7_nat_lat) (tptp.m1_nat_lat (tptp.k9_nat_lat A) tptp.k1_numbers tptp.k5_numbers tptp.k7_nat_lat))) (and (tptp.v1_funct_1 tptp.k10_nat_lat) (tptp.v1_funct_2 tptp.k10_nat_lat _let_34 tptp.k7_nat_lat) (tptp.m2_relset_1 tptp.k10_nat_lat _let_34 tptp.k7_nat_lat)) (and (tptp.v1_funct_1 tptp.k11_nat_lat) (tptp.v1_funct_2 tptp.k11_nat_lat _let_34 tptp.k7_nat_lat) (tptp.m2_relset_1 tptp.k11_nat_lat _let_34 tptp.k7_nat_lat)) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A (tptp.u1_struct_0 (tptp.g3_lattices tptp.k7_nat_lat tptp.k11_nat_lat tptp.k10_nat_lat))) (tptp.m1_nat_lat (tptp.k12_nat_lat A) tptp.k1_numbers tptp.k5_numbers tptp.k7_nat_lat))) (and _let_33 _let_32 (tptp.l3_lattices tptp.k13_nat_lat)) (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.r1_rlvect_1 (tptp.k5_group_2 B) A) (= 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)) (=> (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_group_2 D A) (=> (and (tptp.r1_rlvect_1 D B) (tptp.r1_rlvect_1 D C)) (tptp.r1_rlvect_1 D (tptp.k2_group_3 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)) (=> (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 (tptp.v1_group_1 D) (tptp.v1_group_3 D A) (tptp.m1_group_2 D A)) (=> (tptp.r1_rlvect_1 D B) (tptp.r1_rlvect_1 D (tptp.k2_group_3 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)) (forall ((C $$unsorted)) (=> (tptp.m1_group_2 C B) (forall ((D $$unsorted)) (=> (tptp.m1_group_2 D B) (= (tptp.r2_hidden A (tptp.k7_group_4 B C D)) (exists ((E $$unsorted)) (and (tptp.m1_subset_1 E (tptp.u1_struct_0 B)) (exists ((F $$unsorted)) (and (tptp.m1_subset_1 F (tptp.u1_struct_0 B)) (= A (tptp.k1_group_1 B E F)) (tptp.r1_rlvect_1 C E) (tptp.r1_rlvect_1 D F)))))))))))) (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)) (forall ((C $$unsorted)) (=> (tptp.m1_group_2 C B) (forall ((D $$unsorted)) (=> (tptp.m1_group_2 D B) (=> (= (tptp.k7_group_4 B C D) (tptp.k7_group_4 B D C)) (= (tptp.r1_rlvect_1 (tptp.k8_group_4 B C D) A) (exists ((E $$unsorted)) (and (tptp.m1_subset_1 E (tptp.u1_struct_0 B)) (exists ((F $$unsorted)) (and (tptp.m1_subset_1 F (tptp.u1_struct_0 B)) (= A (tptp.k1_group_1 B E F)) (tptp.r1_rlvect_1 C E) (tptp.r1_rlvect_1 D F))))))))))))) (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)) (forall ((C $$unsorted)) (=> (tptp.m1_group_2 C B) (forall ((D $$unsorted)) (=> (tptp.m1_group_2 D B) (=> (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.r1_rlvect_1 (tptp.k8_group_4 B C D) A) (exists ((E $$unsorted)) (and (tptp.m1_subset_1 E (tptp.u1_struct_0 B)) (exists ((F $$unsorted)) (and (tptp.m1_subset_1 F (tptp.u1_struct_0 B)) (= A (tptp.k1_group_1 B E F)) (tptp.r1_rlvect_1 C E) (tptp.r1_rlvect_1 D F))))))))))))) (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)) (forall ((C $$unsorted)) (=> (and (tptp.v1_group_1 C) (tptp.v1_group_3 C B) (tptp.m1_group_2 C B)) (forall ((D $$unsorted)) (=> (and (tptp.v1_group_1 D) (tptp.v1_group_3 D B) (tptp.m1_group_2 D B)) (= (tptp.r1_rlvect_1 (tptp.k8_group_4 B C D) A) (exists ((E $$unsorted)) (and (tptp.m1_subset_1 E (tptp.u1_struct_0 B)) (exists ((F $$unsorted)) (and (tptp.m1_subset_1 F (tptp.u1_struct_0 B)) (= A (tptp.k1_group_1 B E F)) (tptp.r1_rlvect_1 C E) (tptp.r1_rlvect_1 D F)))))))))))) (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 $$unsorted)) (=> (and (tptp.v1_group_3 C A) (tptp.m1_group_2 C A)) (= (tptp.k7_group_4 A B C) (tptp.k7_group_4 A C B)))))))) (forall ((A $$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 $$unsorted)) (=> (tptp.m2_finseq_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m2_finseq_1 D (tptp.u1_struct_0 A)) (= (= D (tptp.k1_group_5 A B C)) (and (= (tptp.k3_finseq_1 D) (tptp.k3_finseq_1 B)) (forall ((E $$unsorted)) (=> (tptp.m2_subset_1 E tptp.k1_numbers tptp.k5_numbers) (=> (tptp.r2_hidden E (tptp.k4_finseq_1 B)) (= (tptp.k1_funct_1 D E) (tptp.k2_group_3 A (tptp.k4_finseq_4 tptp.k5_numbers (tptp.u1_struct_0 A) B E) C))))))))))))))) true true true (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_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.u1_struct_0 A))) (=> (tptp.m2_finseq_1 D _let_1) (= (tptp.k8_finseq_1 _let_1 (tptp.k1_group_5 A C B) (tptp.k1_group_5 A D B)) (tptp.k1_group_5 A (tptp.k8_finseq_1 _let_1 C D) 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))) (=> (tptp.m1_subset_1 B _let_1) (= (tptp.k1_group_5 A (tptp.k6_finseq_1 _let_1) B) tptp.k1_xboole_0)))))) (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 $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 C _let_1) (= (tptp.k1_group_5 A (tptp.k12_finseq_1 _let_1 B) C) (tptp.k12_finseq_1 _let_1 (tptp.k2_group_3 A B C)))))))))) (forall ((A $$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 $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (= (tptp.k1_group_5 A (tptp.k7_rlvect_1 A B C) D) (tptp.k7_rlvect_1 A (tptp.k2_group_3 A B D) (tptp.k2_group_3 A C D))))))))))) (forall ((A $$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)) (=> (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.k1_group_5 A (tptp.k8_rlvect_1 A B C D) E) (tptp.k8_rlvect_1 A (tptp.k2_group_3 A B E) (tptp.k2_group_3 A C E) (tptp.k2_group_3 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)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m2_finseq_1 C (tptp.u1_struct_0 A)) (= (tptp.k3_group_4 A (tptp.k1_group_5 A C B)) (tptp.k2_group_3 A (tptp.k3_group_4 A C) B)))))))) (forall ((A $$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 $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m2_finseq_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m2_finseq_1 D tptp.k4_numbers) (= (tptp.k4_group_4 A D (tptp.k1_group_5 A C B)) (tptp.k1_group_5 A (tptp.k4_group_4 A D C) B)))))))))) (forall ((A $$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 $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (tptp.k2_group_5 A B C) (tptp.k1_group_1 A (tptp.k1_group_1 A (tptp.k1_group_1 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)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k1_group_1 A B C))) (let ((_let_2 (tptp.k3_group_1 A C))) (let ((_let_3 (tptp.k3_group_1 A B))) (let ((_let_4 (tptp.k1_group_1 A _let_3 _let_2))) (let ((_let_5 (tptp.k2_group_5 A B C))) (let ((_let_6 (tptp.k1_group_1 A _let_2 B))) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (and (= _let_5 (tptp.k1_group_1 A (tptp.k1_group_1 A _let_4 B) C)) (= _let_5 (tptp.k1_group_1 A (tptp.k1_group_1 A _let_3 _let_6) C)) (= _let_5 (tptp.k1_group_1 A _let_3 (tptp.k1_group_1 A _let_6 C))) (= _let_5 (tptp.k1_group_1 A _let_3 (tptp.k1_group_1 A _let_2 _let_1))) (= _let_5 (tptp.k1_group_1 A _let_4 _let_1))))))))))))))) (forall ((A $$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.k2_group_5 A B C) (tptp.k1_group_1 A (tptp.k3_group_1 A (tptp.k1_group_1 A C B)) (tptp.k1_group_1 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)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k2_group_5 A B C))) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (and (= _let_1 (tptp.k1_group_1 A (tptp.k2_group_3 A (tptp.k3_group_1 A C) B) C)) (= _let_1 (tptp.k1_group_1 A (tptp.k3_group_1 A B) (tptp.k2_group_3 A B C))))))))))) (forall ((A $$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 $$unsorted)) (let ((_let_1 (tptp.k2_group_1 A))) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (and (= (tptp.k2_group_5 A _let_1 B) _let_1) (= (tptp.k2_group_5 A B _let_1) _let_1))))))) (forall ((A $$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 $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (= (tptp.k2_group_5 A B B) (tptp.k2_group_1 A)))))) (forall ((A $$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 $$unsorted)) (let ((_let_1 (tptp.k2_group_1 A))) (let ((_let_2 (tptp.k3_group_1 A B))) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (and (= (tptp.k2_group_5 A B _let_2) _let_1) (= (tptp.k2_group_5 A _let_2 B) _let_1)))))))) (forall ((A $$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 $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (tptp.k3_group_1 A (tptp.k2_group_5 A B C)) (tptp.k2_group_5 A 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)) (=> (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_group_3 A (tptp.k2_group_5 A B C) D) (tptp.k2_group_5 A (tptp.k2_group_3 A B D) (tptp.k2_group_3 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 $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (tptp.k2_group_5 A B C) (tptp.k1_group_1 A (tptp.k1_group_1 A (tptp.k6_group_1 A tptp.np__2 (tptp.k3_group_1 A B)) (tptp.k6_group_1 A tptp.np__2 (tptp.k1_group_1 A B (tptp.k3_group_1 A C)))) (tptp.k6_group_1 A tptp.np__2 C))))))))) (forall ((A $$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)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (= (tptp.k2_group_5 A (tptp.k1_group_1 A B C) D) (tptp.k1_group_1 A (tptp.k2_group_3 A (tptp.k2_group_5 A B D) C) (tptp.k2_group_5 A C D))))))))))) (forall ((A $$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 $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (= (tptp.k2_group_5 A B (tptp.k1_group_1 A C D)) (tptp.k1_group_1 A (tptp.k2_group_5 A B D) (tptp.k2_group_3 A (tptp.k2_group_5 A B C) D))))))))))) (forall ((A $$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))) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (tptp.k2_group_5 A _let_1 C) (tptp.k2_group_3 A (tptp.k2_group_5 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)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k3_group_1 A C))) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (tptp.k2_group_5 A B _let_1) (tptp.k2_group_3 A (tptp.k2_group_5 A C B) _let_1))))))))) (forall ((A $$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 $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k2_group_5 A B C))) (let ((_let_2 (tptp.k2_group_5 A (tptp.k3_group_1 A B) (tptp.k3_group_1 A C)))) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (and (= _let_2 (tptp.k2_group_3 A _let_1 (tptp.k3_group_1 A (tptp.k1_group_1 A B C)))) (= _let_2 (tptp.k2_group_3 A _let_1 (tptp.k3_group_1 A (tptp.k1_group_1 A 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)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k3_group_1 A B))) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (tptp.k2_group_5 A B (tptp.k2_group_3 A C _let_1)) (tptp.k2_group_5 A C _let_1))))))))) (forall ((A $$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 $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k3_group_1 A C))) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (tptp.k2_group_5 A (tptp.k2_group_3 A B _let_1) C) (tptp.k2_group_5 A _let_1 B))))))))) (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)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 B)) (= (tptp.k2_group_5 B (tptp.k6_group_1 B A C) D) (tptp.k1_group_1 B (tptp.k6_group_1 B (tptp.k4_xcmplx_0 A) C) (tptp.k6_group_1 B A (tptp.k2_group_3 B C 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 $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 B)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k6_group_1 B A D))) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 B)) (= (tptp.k2_group_5 B C _let_1) (tptp.k1_group_1 B (tptp.k6_group_1 B (tptp.k4_xcmplx_0 A) (tptp.k2_group_3 B D C)) _let_1))))))))))) (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)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 B)) (= (tptp.k2_group_5 B (tptp.k6_group_1 B A C) D) (tptp.k1_group_1 B (tptp.k6_group_1 B (tptp.k4_xcmplx_0 A) C) (tptp.k6_group_1 B A (tptp.k2_group_3 B C 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 $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 B)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k6_group_1 B A D))) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 B)) (= (tptp.k2_group_5 B C _let_1) (tptp.k1_group_1 B (tptp.k6_group_1 B (tptp.k4_xcmplx_0 A) (tptp.k2_group_3 B D 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_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (= (tptp.k2_group_5 A B C) (tptp.k2_group_1 A)) (= (tptp.k1_group_1 A B C) (tptp.k1_group_1 A C B))))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.l1_group_1 A))) (let ((_let_2 (tptp.v4_group_1 A))) (let ((_let_3 (tptp.v3_group_1 A))) (let ((_let_4 (not (tptp.v3_struct_0 A)))) (=> (and _let_4 _let_3 _let_2 _let_1) (= (and _let_4 _let_3 _let_2 (tptp.v7_group_1 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)) (= (tptp.k2_group_5 A B C) (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 $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_group_2 D A) (=> (and (tptp.r1_rlvect_1 D B) (tptp.r1_rlvect_1 D C)) (tptp.r1_rlvect_1 D (tptp.k2_group_5 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)) (=> (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_group_5 A B C D) (tptp.k2_group_5 A (tptp.k2_group_5 A B C) D)))))))))) 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 $$unsorted)) (let ((_let_1 (tptp.k2_group_1 A))) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (and (= (tptp.k3_group_5 A B C _let_1) _let_1) (= (tptp.k3_group_5 A B _let_1 C) _let_1) (= (tptp.k3_group_5 A _let_1 B C) _let_1))))))))) (forall ((A $$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 $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (tptp.k3_group_5 A B B C) (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 $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (tptp.k3_group_5 A B C B) (tptp.k2_group_5 A (tptp.k2_group_3 A B C) B)))))))) (forall ((A $$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 $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (tptp.k3_group_5 A B C C) (tptp.k2_group_3 A (tptp.k1_group_1 A (tptp.k2_group_5 A B (tptp.k3_group_1 A C)) (tptp.k2_group_5 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)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (tptp.k3_group_5 A B C (tptp.k2_group_3 A C B)) (tptp.k2_group_5 A C (tptp.k2_group_5 A C B))))))))) (forall ((A $$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 $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (= (tptp.k2_group_5 A (tptp.k1_group_1 A B C) D) (tptp.k1_group_1 A (tptp.k1_group_1 A (tptp.k2_group_5 A B D) (tptp.k3_group_5 A B D C)) (tptp.k2_group_5 A C D))))))))))) (forall ((A $$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 $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (= (tptp.k2_group_5 A B (tptp.k1_group_1 A C D)) (tptp.k1_group_1 A (tptp.k1_group_1 A (tptp.k2_group_5 A B D) (tptp.k2_group_5 A B C)) (tptp.k3_group_5 A B C D))))))))))) (forall ((A $$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)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (= (tptp.k1_group_1 A (tptp.k1_group_1 A (tptp.k2_group_3 A (tptp.k3_group_5 A B (tptp.k3_group_1 A C) D) C) (tptp.k2_group_3 A (tptp.k3_group_5 A C (tptp.k3_group_1 A D) B) D)) (tptp.k2_group_3 A (tptp.k3_group_5 A D (tptp.k3_group_1 A B) C) B)) (tptp.k2_group_1 A)))))))))) true (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_group_1 B) (tptp.v4_group_1 B) (tptp.l1_group_1 B)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B))) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B))) (= (tptp.r2_hidden A (tptp.k4_group_5 B C D)) (exists ((E $$unsorted)) (and (tptp.m1_subset_1 E (tptp.u1_struct_0 B)) (exists ((F $$unsorted)) (and (tptp.m1_subset_1 F (tptp.u1_struct_0 B)) (= A (tptp.k2_group_5 B E F)) (tptp.r2_hidden E C) (tptp.r2_hidden F D)))))))))))) (forall ((A $$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 $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.k1_subset_1 _let_1))) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 _let_1)) (and (= (tptp.k4_group_5 A _let_2 B) tptp.k1_xboole_0) (= (tptp.k4_group_5 A B _let_2) tptp.k1_xboole_0)))))))) (forall ((A $$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 A))) (=> (tptp.m1_subset_1 C _let_1) (= (tptp.k4_group_5 A (tptp.k6_domain_1 _let_1 B) (tptp.k6_domain_1 _let_1 C)) (tptp.k6_domain_1 _let_1 (tptp.k2_group_5 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)) (=> (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.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (and (tptp.r1_tarski B C) (tptp.r1_tarski D E)) (tptp.r1_tarski (tptp.k4_group_5 A B D) (tptp.k4_group_5 A C E))))))))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.l1_group_1 A))) (let ((_let_2 (tptp.v4_group_1 A))) (let ((_let_3 (tptp.v3_group_1 A))) (let ((_let_4 (not (tptp.v3_struct_0 A)))) (=> (and _let_4 _let_3 _let_2 _let_1) (= (and _let_4 _let_3 _let_2 (tptp.v7_group_1 A) _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_struct_0 A))) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 _let_1)) (not (and (not (= B tptp.k1_xboole_0)) (not (= C tptp.k1_xboole_0)) (not (= (tptp.k4_group_5 A B C) (tptp.k6_domain_1 _let_1 (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_group_2 B A) (forall ((C $$unsorted)) (=> (tptp.m1_group_2 C A) (= (tptp.k5_group_5 A B C) (tptp.k4_group_5 A (tptp.k7_group_2 A B) (tptp.k7_group_2 A C))))))))) true (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_group_1 B) (tptp.v4_group_1 B) (tptp.l1_group_1 B)) (forall ((C $$unsorted)) (=> (tptp.m1_group_2 C B) (forall ((D $$unsorted)) (=> (tptp.m1_group_2 D B) (= (tptp.r2_hidden A (tptp.k5_group_5 B C D)) (exists ((E $$unsorted)) (and (tptp.m1_subset_1 E (tptp.u1_struct_0 B)) (exists ((F $$unsorted)) (and (tptp.m1_subset_1 F (tptp.u1_struct_0 B)) (= A (tptp.k2_group_5 B E F)) (tptp.r1_rlvect_1 C E) (tptp.r1_rlvect_1 D F)))))))))))) (forall ((A $$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_2 C A) (tptp.r2_hidden (tptp.k2_group_1 A) (tptp.k5_group_5 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)) (let ((_let_1 (tptp.k6_domain_1 (tptp.u1_struct_0 A) (tptp.k2_group_1 A)))) (let ((_let_2 (tptp.k5_group_2 A))) (=> (tptp.m1_group_2 B A) (and (= (tptp.k5_group_5 A _let_2 B) _let_1) (= (tptp.k5_group_5 A B _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_group_2 B A) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k7_group_2 A C))) (=> (and (tptp.v1_group_1 C) (tptp.v1_group_3 C A) (tptp.m1_group_2 C A)) (and (tptp.r1_tarski (tptp.k5_group_5 A B C) _let_1) (tptp.r1_tarski (tptp.k5_group_5 A C B) _let_1))))))))) (forall ((A $$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 $$unsorted)) (=> (tptp.m1_group_2 B A) (forall ((C $$unsorted)) (=> (tptp.m1_group_2 C A) (forall ((D $$unsorted)) (=> (tptp.m1_group_2 D A) (forall ((E $$unsorted)) (=> (tptp.m1_group_2 E A) (=> (and (tptp.m1_group_2 B C) (tptp.m1_group_2 D E)) (tptp.r1_tarski (tptp.k5_group_5 A B D) (tptp.k5_group_5 A C E))))))))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.l1_group_1 A))) (let ((_let_2 (tptp.v4_group_1 A))) (let ((_let_3 (tptp.v3_group_1 A))) (let ((_let_4 (not (tptp.v3_struct_0 A)))) (=> (and _let_4 _let_3 _let_2 _let_1) (= (and _let_4 _let_3 _let_2 (tptp.v7_group_1 A) _let_1) (forall ((B $$unsorted)) (=> (tptp.m1_group_2 B A) (forall ((C $$unsorted)) (=> (tptp.m1_group_2 C A) (= (tptp.k5_group_5 A B C) (tptp.k6_domain_1 (tptp.u1_struct_0 A) (tptp.k2_group_1 A)))))))))))))) (forall ((A $$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)) (= (tptp.k6_group_5 A) (tptp.k5_group_5 A _let_1 _let_1))))) true (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.k6_group_5 B)) (exists ((C $$unsorted)) (and (tptp.m1_subset_1 C (tptp.u1_struct_0 B)) (exists ((D $$unsorted)) (and (tptp.m1_subset_1 D (tptp.u1_struct_0 B)) (= A (tptp.k2_group_5 B C D))))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.l1_group_1 A))) (let ((_let_2 (tptp.v4_group_1 A))) (let ((_let_3 (tptp.v3_group_1 A))) (let ((_let_4 (not (tptp.v3_struct_0 A)))) (=> (and _let_4 _let_3 _let_2 _let_1) (= (and _let_4 _let_3 _let_2 (tptp.v7_group_1 A) _let_1) (= (tptp.k6_group_5 A) (tptp.k6_domain_1 (tptp.u1_struct_0 A) (tptp.k2_group_1 A)))))))))) (forall ((A $$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 $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (tptp.k7_group_5 A B C) (tptp.k5_group_4 A (tptp.k4_group_5 A B C))))))))) 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.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (and (tptp.r2_hidden B D) (tptp.r2_hidden C E)) (tptp.r1_rlvect_1 (tptp.k7_group_5 A D E) (tptp.k2_group_5 A B C))))))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_group_1 B) (tptp.v4_group_1 B) (tptp.l1_group_1 B)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B))) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B))) (= (tptp.r1_rlvect_1 (tptp.k7_group_5 B C D) A) (exists ((E $$unsorted)) (and (tptp.m2_finseq_1 E (tptp.u1_struct_0 B)) (exists ((F $$unsorted)) (and (tptp.m2_finseq_1 F tptp.k4_numbers) (= (tptp.k3_finseq_1 E) (tptp.k3_finseq_1 F)) (tptp.r1_tarski (tptp.k2_relat_1 E) (tptp.k4_group_5 B C D)) (= A (tptp.k3_group_4 B (tptp.k4_group_4 B F E)))))))))))))) (forall ((A $$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 $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (and (tptp.r1_tarski B C) (tptp.r1_tarski D E)) (tptp.m1_group_2 (tptp.k7_group_5 A B D) (tptp.k7_group_5 A C 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 $$unsorted)) (=> (tptp.m1_group_2 C A) (= (tptp.k8_group_5 A B C) (tptp.k7_group_5 A (tptp.k7_group_2 A B) (tptp.k7_group_2 A C))))))))) true (forall ((A $$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)) (=> (tptp.m1_group_2 C A) (tptp.r1_group_2 A (tptp.k8_group_5 A B C) (tptp.k5_group_4 A (tptp.k5_group_5 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)) (forall ((C $$unsorted)) (=> (tptp.m1_group_2 C B) (forall ((D $$unsorted)) (=> (tptp.m1_group_2 D B) (= (tptp.r1_rlvect_1 (tptp.k8_group_5 B C D) A) (exists ((E $$unsorted)) (and (tptp.m2_finseq_1 E (tptp.u1_struct_0 B)) (exists ((F $$unsorted)) (and (tptp.m2_finseq_1 F tptp.k4_numbers) (= (tptp.k3_finseq_1 E) (tptp.k3_finseq_1 F)) (tptp.r1_tarski (tptp.k2_relat_1 E) (tptp.k5_group_5 B C D)) (= A (tptp.k3_group_4 B (tptp.k4_group_4 B F 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_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_group_2 D A) (forall ((E $$unsorted)) (=> (tptp.m1_group_2 E A) (=> (and (tptp.r1_rlvect_1 D B) (tptp.r1_rlvect_1 E C)) (tptp.r1_rlvect_1 (tptp.k8_group_5 A D E) (tptp.k2_group_5 A B C))))))))))))) (forall ((A $$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 $$unsorted)) (=> (tptp.m1_group_2 B A) (forall ((C $$unsorted)) (=> (tptp.m1_group_2 C A) (forall ((D $$unsorted)) (=> (tptp.m1_group_2 D A) (forall ((E $$unsorted)) (=> (tptp.m1_group_2 E A) (=> (and (tptp.m1_group_2 B C) (tptp.m1_group_2 D E)) (tptp.m1_group_2 (tptp.k8_group_5 A B D) (tptp.k8_group_5 A C 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 $$unsorted)) (=> (and (tptp.v1_group_1 C) (tptp.v1_group_3 C A) (tptp.m1_group_2 C A)) (and (tptp.m1_group_2 (tptp.k8_group_5 A C B) C) (tptp.m1_group_2 (tptp.k8_group_5 A B C) C)))))))) (forall ((A $$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 $$unsorted)) (=> (and (tptp.v1_group_1 B) (tptp.v1_group_3 B A) (tptp.m1_group_2 B A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k8_group_5 A B C))) (=> (and (tptp.v1_group_1 C) (tptp.v1_group_3 C A) (tptp.m1_group_2 C A)) (and (tptp.v1_group_3 _let_1 A) (tptp.m1_group_2 _let_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)) (=> (and (tptp.v1_group_3 B A) (tptp.m1_group_2 B A)) (forall ((C $$unsorted)) (=> (and (tptp.v1_group_3 C A) (tptp.m1_group_2 C A)) (tptp.r1_group_2 A (tptp.k8_group_5 A B C) (tptp.k8_group_5 A C B)))))))) (forall ((A $$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 $$unsorted)) (=> (and (tptp.v1_group_1 B) (tptp.v1_group_3 B A) (tptp.m1_group_2 B A)) (forall ((C $$unsorted)) (=> (and (tptp.v1_group_1 C) (tptp.v1_group_3 C A) (tptp.m1_group_2 C A)) (forall ((D $$unsorted)) (=> (and (tptp.v1_group_1 D) (tptp.v1_group_3 D A) (tptp.m1_group_2 D A)) (tptp.r1_group_2 A (tptp.k8_group_5 A (tptp.k8_group_4 A B C) D) (tptp.k8_group_4 A (tptp.k8_group_5 A B D) (tptp.k8_group_5 A C D))))))))))) (forall ((A $$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 $$unsorted)) (=> (and (tptp.v1_group_1 B) (tptp.v1_group_3 B A) (tptp.m1_group_2 B A)) (forall ((C $$unsorted)) (=> (and (tptp.v1_group_1 C) (tptp.v1_group_3 C A) (tptp.m1_group_2 C A)) (forall ((D $$unsorted)) (=> (and (tptp.v1_group_1 D) (tptp.v1_group_3 D A) (tptp.m1_group_2 D A)) (tptp.r1_group_2 A (tptp.k8_group_5 A B (tptp.k8_group_4 A C D)) (tptp.k8_group_4 A (tptp.k8_group_5 A B C) (tptp.k8_group_5 A B D))))))))))) (forall ((A $$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)) (= (tptp.k9_group_5 A) (tptp.k8_group_5 A _let_1 _let_1))))) true (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (tptp.r1_group_2 A (tptp.k9_group_5 A) (tptp.k5_group_4 A (tptp.k6_group_5 A))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_group_1 B) (tptp.v4_group_1 B) (tptp.l1_group_1 B)) (= (tptp.r1_rlvect_1 (tptp.k9_group_5 B) A) (exists ((C $$unsorted)) (and (tptp.m2_finseq_1 C (tptp.u1_struct_0 B)) (exists ((D $$unsorted)) (and (tptp.m2_finseq_1 D tptp.k4_numbers) (= (tptp.k3_finseq_1 C) (tptp.k3_finseq_1 D)) (tptp.r1_tarski (tptp.k2_relat_1 C) (tptp.k6_group_5 B)) (= A (tptp.k3_group_4 B (tptp.k4_group_4 B D C)))))))))) (forall ((A $$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 $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (tptp.r1_rlvect_1 (tptp.k9_group_5 A) (tptp.k2_group_5 A B C)))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.l1_group_1 A))) (let ((_let_2 (tptp.v4_group_1 A))) (let ((_let_3 (tptp.v3_group_1 A))) (let ((_let_4 (not (tptp.v3_struct_0 A)))) (=> (and _let_4 (tptp.v1_group_1 A) _let_3 _let_2 _let_1) (= (and _let_4 _let_3 _let_2 (tptp.v7_group_1 A) _let_1) (tptp.r1_group_2 A (tptp.k9_group_5 A) (tptp.k5_group_2 A))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_group_1 B) (tptp.m1_group_2 B A)) (=> (and (tptp.v1_finset_1 (tptp.k14_group_2 A B)) (= (tptp.k17_group_2 A B) tptp.np__2)) (tptp.m1_group_2 (tptp.k9_group_5 A) B)))))) true true (forall ((A $$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 $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (= (tptp.r1_rlvect_1 (tptp.k10_group_5 A) B) (forall ((C $$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))))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k10_group_5 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (and (tptp.v1_group_3 _let_1 A) (tptp.m1_group_2 _let_1 A))))) (forall ((A $$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 $$unsorted)) (let ((_let_1 (tptp.m1_group_2 B A))) (=> _let_1 (=> (tptp.m1_group_2 B (tptp.k10_group_5 A)) (and (tptp.v1_group_3 B A) _let_1))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (tptp.v7_group_1 (tptp.k10_group_5 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)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 B _let_1) (= (tptp.r1_rlvect_1 (tptp.k10_group_5 A) B) (= (tptp.k7_group_3 A B) (tptp.k6_domain_1 _let_1 B)))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.l1_group_1 A))) (let ((_let_2 (tptp.v4_group_1 A))) (let ((_let_3 (tptp.v3_group_1 A))) (let ((_let_4 (not (tptp.v3_struct_0 A)))) (=> (and _let_4 (tptp.v1_group_1 A) _let_3 _let_2 _let_1) (= (and _let_4 _let_3 _let_2 (tptp.v7_group_1 A) _let_1) (= (tptp.k10_group_5 A) A)))))))) (forall ((A $$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.m1_finseq_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (tptp.m2_finseq_1 (tptp.k1_group_5 A B C) _let_1)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A) (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (tptp.m1_subset_1 (tptp.k2_group_5 A B C) _let_1)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A) (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1) (tptp.m1_subset_1 D _let_1)) (tptp.m1_subset_1 (tptp.k3_group_5 A B C D) _let_1)))) (forall ((A $$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.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 C _let_1)) (tptp.m1_subset_1 (tptp.k4_group_5 A B C) _let_1)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A) (tptp.m1_group_2 B A) (tptp.m1_group_2 C A)) (tptp.m1_subset_1 (tptp.k5_group_5 A B C) (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (tptp.m1_subset_1 (tptp.k6_group_5 A) (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k7_group_5 A B C))) (let ((_let_2 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A) (tptp.m1_subset_1 B _let_2) (tptp.m1_subset_1 C _let_2)) (and (tptp.v1_group_1 _let_1) (tptp.m1_group_2 _let_1 A)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k8_group_5 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.m1_group_2 C A)) (and (tptp.v1_group_1 _let_1) (tptp.m1_group_2 _let_1 A))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k9_group_5 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (and (tptp.v1_group_1 _let_1) (tptp.v1_group_3 _let_1 A) (tptp.m1_group_2 _let_1 A))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k10_group_5 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_group_1 _let_1) (tptp.m1_group_2 _let_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.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (tptp.k4_group_5 A B C) (tptp.a_3_0_group_5 A B C)))))))) (forall ((A $$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 $$unsorted)) (=> (and (tptp.v1_group_1 B) (tptp.m1_group_2 B A)) (= (= B (tptp.k10_group_5 A)) (= (tptp.u1_struct_0 B) (tptp.a_1_0_group_5 A))))))) (tptp.m1_subset_1 tptp.a_0_0_group_5 (tptp.k1_zfmisc_1 tptp.f2_s1_group_5)) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B)))) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_group_1 B) (tptp.v4_group_1 B) (tptp.l1_group_1 B) (tptp.m1_subset_1 C _let_1) (tptp.m1_subset_1 D _let_1)) (= (tptp.r2_hidden A (tptp.a_3_0_group_5 B C D)) (exists ((E $$unsorted) (F $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (and (tptp.m1_subset_1 E _let_1) (tptp.m1_subset_1 F _let_1) (= A (tptp.k2_group_5 B E F)) (tptp.r2_hidden E C) (tptp.r2_hidden F D)))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_group_1 B) (tptp.v4_group_1 B) (tptp.l1_group_1 B)) (= (tptp.r2_hidden A (tptp.a_1_0_group_5 B)) (exists ((C $$unsorted)) (and (tptp.m1_subset_1 C (tptp.u1_struct_0 B)) (= A C) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 B)) (= (tptp.k1_group_1 B C D) (tptp.k1_group_1 B D C))))))))) (forall ((A $$unsorted)) (= (tptp.r2_hidden A tptp.a_0_0_group_5) (exists ((B $$unsorted) (C $$unsorted) (D $$unsorted)) (and (tptp.m1_subset_1 B tptp.f1_s1_group_5) (tptp.m1_subset_1 C tptp.f2_s1_group_5) (tptp.m1_subset_1 D tptp.f3_s1_group_5) (= A (tptp.f4_s1_group_5 B C D)) (tptp.p1_s1_group_5 B C D))))) (exists ((A $$unsorted)) (and (tptp.l1_cat_1 A) (tptp.v2_cat_1 A) (tptp.v2_nattra_1 A))) (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) (tptp.v2_nattra_1 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)) (=> (not (tptp.v1_xboole_0 D)) (forall ((E $$unsorted)) (=> (and (tptp.v1_funct_1 E) (tptp.v1_funct_2 E C A) (tptp.m2_relset_1 E C A)) (forall ((F $$unsorted)) (=> (and (tptp.v1_funct_1 F) (tptp.v1_funct_2 F D B) (tptp.m2_relset_1 F D B)) (forall ((G $$unsorted)) (=> (and (not (tptp.v1_xboole_0 G)) (tptp.m1_subset_1 G (tptp.k1_zfmisc_1 C))) (forall ((H $$unsorted)) (=> (and (not (tptp.v1_xboole_0 H)) (tptp.m1_subset_1 H (tptp.k1_zfmisc_1 D))) (= (tptp.k1_nattra_1 (tptp.k2_zfmisc_1 C D) (tptp.k2_zfmisc_1 A B) (tptp.k9_cat_2 C D A B E F) (tptp.k12_mcart_1 C D G H)) (tptp.k9_cat_2 G H A B (tptp.k1_nattra_1 C A E G) (tptp.k1_nattra_1 D B F H))))))))))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (=> (and (not (tptp.v1_xboole_0 C)) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 A))) (forall ((D $$unsorted)) (=> (and (not (tptp.v1_xboole_0 D)) (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 B))) (forall ((E $$unsorted)) (=> (and (tptp.v1_funct_1 E) (tptp.m2_relset_1 E (tptp.k2_zfmisc_1 A A) A)) (forall ((F $$unsorted)) (=> (and (tptp.v1_funct_1 F) (tptp.m2_relset_1 F (tptp.k2_zfmisc_1 B B) B)) (forall ((G $$unsorted)) (=> (and (tptp.v1_funct_1 G) (tptp.m2_relset_1 G (tptp.k12_mcart_1 A A C C) C)) (=> (= G (tptp.k1_realset1 E C)) (forall ((H $$unsorted)) (=> (and (tptp.v1_funct_1 H) (tptp.m2_relset_1 H (tptp.k12_mcart_1 B B D D) D)) (=> (= H (tptp.k1_realset1 F D)) (= (tptp.k2_nattra_1 A B C D G H) (tptp.k1_realset1 (tptp.k10_cat_2 A B E F) (tptp.k12_mcart_1 A 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.u1_cat_1 A)) (forall ((C $$unsorted)) (=> (tptp.m1_cat_1 C A B B) (tptp.r2_hidden C (tptp.k6_cat_1 A B B)))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u2_cat_1 (tptp.k8_cat_1 A B))) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u2_cat_1 (tptp.k8_cat_1 A B))) (= C D))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k10_cat_1 A B))) (=> (tptp.m1_subset_1 B (tptp.u1_cat_1 A)) (tptp.r2_hidden (tptp.k13_cat_2 (tptp.k11_cat_2 A A) A (tptp.k13_cat_2 A A _let_1 _let_1) _let_1) (tptp.u5_cat_1 A))))))) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.u5_cat_1 (tptp.k8_cat_1 A B)) (tptp.k1_tarski (tptp.k4_tarski (tptp.k4_tarski B B) B)))) (forall ((A $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_cat_1 A)) (tptp.m3_cat_2 (tptp.k8_cat_1 B (tptp.k10_cat_1 A B)) A))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u2_cat_1 B))) (=> (tptp.m3_cat_2 B A) (and (= (tptp.u3_cat_1 B) (tptp.k7_relat_1 (tptp.u3_cat_1 A) _let_1)) (= (tptp.u4_cat_1 B) (tptp.k7_relat_1 (tptp.u4_cat_1 A) _let_1)) (= (tptp.u5_cat_1 B) (tptp.k1_realset1 (tptp.u5_cat_1 A) _let_1)) (= (tptp.u6_cat_1 B) (tptp.k7_relat_1 (tptp.u6_cat_1 A) (tptp.u1_cat_1 B))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_cat_1 A)))) (forall ((C $$unsorted)) (=> (and (not (tptp.v1_xboole_0 C)) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u2_cat_1 A)))) (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)) (let ((_let_1 (tptp.u1_cat_1 A))) (let ((_let_2 (tptp.u2_cat_1 A))) (=> (and (tptp.v1_funct_1 E) (tptp.v1_funct_2 E C B) (tptp.m2_relset_1 E C B)) (=> (and (= D (tptp.k1_nattra_1 _let_2 _let_1 (tptp.u3_cat_1 A) C)) (= E (tptp.k1_nattra_1 _let_2 _let_1 (tptp.u4_cat_1 A) C))) (forall ((F $$unsorted)) (=> (and (tptp.v1_funct_1 F) (tptp.m2_relset_1 F (tptp.k2_zfmisc_1 C C) C)) (=> (= F (tptp.k1_realset1 (tptp.u5_cat_1 A) C)) (forall ((G $$unsorted)) (=> (and (tptp.v1_funct_1 G) (tptp.v1_funct_2 G B C) (tptp.m2_relset_1 G B C)) (=> (= G (tptp.k1_nattra_1 (tptp.u1_cat_1 A) (tptp.u2_cat_1 A) (tptp.u6_cat_1 A) B)) (tptp.m3_cat_2 (tptp.g1_cat_1 B C D E F G) A)))))))))))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_cat_1 A) (tptp.v2_cat_1 A) (tptp.l1_cat_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_cat_1 B) (tptp.m3_cat_2 B A)) (=> (and (= (tptp.u1_cat_1 B) (tptp.u1_cat_1 A)) (= (tptp.u2_cat_1 B) (tptp.u2_cat_1 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)) (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.k3_nattra_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 $$unsorted)) (=> (and (tptp.v2_cat_1 C) (tptp.l1_cat_1 C)) (forall ((D $$unsorted)) (=> (tptp.m2_cat_1 D C A) (forall ((E $$unsorted)) (=> (tptp.m2_cat_1 E A B) (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F (tptp.u1_cat_1 C)) (forall ((G $$unsorted)) (=> (tptp.m1_subset_1 G (tptp.u1_cat_1 C)) (=> (not (= (tptp.k6_cat_1 C F G) tptp.k1_xboole_0)) (forall ((H $$unsorted)) (=> (tptp.m1_cat_1 H C F G) (= (tptp.k3_nattra_1 C B (tptp.k14_cat_1 C A B D E) F G H) (tptp.k3_nattra_1 A B E (tptp.k13_cat_1 C A D F) (tptp.k13_cat_1 C A D G) (tptp.k3_nattra_1 C A D F G H)))))))))))))))))))) (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.m2_cat_1 D A 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)) (=> (not (= (tptp.k6_cat_1 A E F) tptp.k1_xboole_0)) (forall ((G $$unsorted)) (=> (tptp.m1_cat_1 G A E F) (= (tptp.k3_nattra_1 A B C E F G) (tptp.k3_nattra_1 A B D E F G))))))))) (= C D)))))))))) (forall ((A $$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 B A) (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 B)) (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F (tptp.u1_cat_1 B)) (not (and (not (= (tptp.k6_cat_1 B D E) tptp.k1_xboole_0)) (not (= (tptp.k6_cat_1 B E F) tptp.k1_xboole_0)) (not (forall ((G $$unsorted)) (=> (tptp.m1_cat_1 G B D E) (forall ((H $$unsorted)) (=> (tptp.m1_cat_1 H B E F) (= (tptp.k3_nattra_1 B A C D F (tptp.k9_cat_1 B D E F G H)) (tptp.k9_cat_1 A (tptp.k13_cat_1 B A C D) (tptp.k13_cat_1 B A C E) (tptp.k13_cat_1 B A C F) (tptp.k3_nattra_1 B A C D E G) (tptp.k3_nattra_1 B A C E F H)))))))))))))))))))))) (forall ((A $$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.k3_nattra_1 A B C D D (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 $$unsorted)) (=> (tptp.m2_cat_1 C B A) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_cat_1 B)) (= (tptp.k3_nattra_1 B A C D D (tptp.k10_cat_1 B D)) (tptp.k10_cat_1 A (tptp.k13_cat_1 B 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 $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_cat_1 A)) (=> (not (= (tptp.k6_cat_1 A B C) tptp.k1_xboole_0)) (forall ((D $$unsorted)) (=> (tptp.m1_cat_1 D A B C) (= (tptp.k3_nattra_1 A A (tptp.k15_cat_1 A) B C D) 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)) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.u1_cat_1 A)) (=> (not (tptp.r1_xboole_0 (tptp.k6_cat_1 A B C) (tptp.k6_cat_1 A D E))) (and (= B D) (= C E))))))))))))) (forall ((A $$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 $$unsorted)) (=> (tptp.m2_cat_1 D A B) (= (tptp.r1_nattra_1 A B C D) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.u1_cat_1 A)) (not (= (tptp.k6_cat_1 B (tptp.k13_cat_1 A B C E) (tptp.k13_cat_1 A B D E)) tptp.k1_xboole_0))))))))))))) 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.m2_cat_1 D A B) (forall ((E $$unsorted)) (=> (tptp.m2_cat_1 E A B) (=> (and (tptp.r1_nattra_1 A B C D) (tptp.r1_nattra_1 A B D E)) (tptp.r1_nattra_1 A B C E)))))))))))) (forall ((A $$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 $$unsorted)) (=> (tptp.m2_cat_1 D A B) (=> (tptp.r1_nattra_1 A B C D) (forall ((E $$unsorted)) (let ((_let_1 (tptp.u2_cat_1 B))) (let ((_let_2 (tptp.u1_cat_1 A))) (=> (and (tptp.v1_funct_1 E) (tptp.v1_funct_2 E _let_2 _let_1) (tptp.m2_relset_1 E _let_2 _let_1)) (= (tptp.m1_nattra_1 E A B C D) (forall ((F $$unsorted)) (let ((_let_1 (tptp.u1_cat_1 A))) (=> (tptp.m1_subset_1 F _let_1) (tptp.m1_cat_1 (tptp.k8_funct_2 _let_1 (tptp.u2_cat_1 B) E F) B (tptp.k13_cat_1 A B C F) (tptp.k13_cat_1 A B D F))))))))))))))))))) (forall ((A $$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)) (=> (tptp.m2_cat_1 C A B) (forall ((D $$unsorted)) (=> (tptp.m1_nattra_1 D A B C C) (= (= D (tptp.k4_nattra_1 A B C)) (forall ((E $$unsorted)) (let ((_let_1 (tptp.u1_cat_1 A))) (=> (tptp.m1_subset_1 E _let_1) (= (tptp.k8_funct_2 _let_1 (tptp.u2_cat_1 B) D E) (tptp.k10_cat_1 B (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.m2_cat_1 D A B) (=> (tptp.r1_nattra_1 A B C D) (forall ((E $$unsorted)) (=> (tptp.m1_nattra_1 E A B C D) (forall ((F $$unsorted)) (let ((_let_1 (tptp.u1_cat_1 A))) (=> (tptp.m1_subset_1 F _let_1) (= (tptp.k5_nattra_1 A B C D E F) (tptp.k8_funct_2 _let_1 (tptp.u2_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 $$unsorted)) (=> (tptp.m2_cat_1 C A B) (forall ((D $$unsorted)) (=> (tptp.m2_cat_1 D A B) (forall ((E $$unsorted)) (=> (tptp.m2_cat_1 E A B) (=> (and (tptp.r1_nattra_1 A B C D) (tptp.r1_nattra_1 A B D E)) (forall ((F $$unsorted)) (=> (tptp.m1_nattra_1 F A B C D) (forall ((G $$unsorted)) (=> (tptp.m1_nattra_1 G A B D E) (forall ((H $$unsorted)) (=> (tptp.m1_nattra_1 H A B C E) (= (= H (tptp.k6_nattra_1 A B C D E F G)) (forall ((I $$unsorted)) (=> (tptp.m1_subset_1 I (tptp.u1_cat_1 A)) (= (tptp.k5_nattra_1 A B C E H I) (tptp.k9_cat_1 B (tptp.k13_cat_1 A B C I) (tptp.k13_cat_1 A B D I) (tptp.k13_cat_1 A B E I) (tptp.k5_nattra_1 A B C D F I) (tptp.k5_nattra_1 A B D E G I))))))))))))))))))))))) (forall ((A $$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 B A) (forall ((D $$unsorted)) (=> (tptp.m2_cat_1 D B A) (=> (tptp.r1_nattra_1 B A C D) (forall ((E $$unsorted)) (=> (tptp.m1_nattra_1 E B A C D) (forall ((F $$unsorted)) (=> (tptp.m1_nattra_1 F B A C D) (=> (forall ((G $$unsorted)) (=> (tptp.m1_subset_1 G (tptp.u1_cat_1 B)) (= (tptp.k5_nattra_1 B A C D E G) (tptp.k5_nattra_1 B A C D F G)))) (= 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 $$unsorted)) (=> (tptp.m2_cat_1 C B A) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_cat_1 B)) (= (tptp.k5_nattra_1 B A C C (tptp.k4_nattra_1 B A C) D) (tptp.k10_cat_1 A (tptp.k13_cat_1 B A 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)) (=> (tptp.m2_cat_1 D A B) (=> (tptp.r1_nattra_1 A B C D) (forall ((E $$unsorted)) (=> (tptp.m1_nattra_1 E A B C D) (and (= (tptp.k6_nattra_1 A B C D D E (tptp.k4_nattra_1 A B D)) E) (= (tptp.k6_nattra_1 A B C C D (tptp.k4_nattra_1 A B C) E) E))))))))))))) (forall ((A $$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 $$unsorted)) (=> (tptp.m2_cat_1 D A B) (forall ((E $$unsorted)) (=> (tptp.m2_cat_1 E A B) (forall ((F $$unsorted)) (=> (tptp.m2_cat_1 F A B) (=> (and (tptp.r1_nattra_1 A B C D) (tptp.r1_nattra_1 A B D E) (tptp.r1_nattra_1 A B E F)) (forall ((G $$unsorted)) (=> (tptp.m1_nattra_1 G A B C D) (forall ((H $$unsorted)) (=> (tptp.m1_nattra_1 H A B D E) (forall ((I $$unsorted)) (=> (tptp.m1_nattra_1 I A B E F) (= (tptp.k6_nattra_1 A B C D F G (tptp.k6_nattra_1 A B D E F H I)) (tptp.k6_nattra_1 A B C E F (tptp.k6_nattra_1 A B C D E G H) I))))))))))))))))))))) (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.m2_cat_1 D A B) (= (tptp.r2_nattra_1 A B C D) (and (tptp.r1_nattra_1 A B C D) (exists ((E $$unsorted)) (and (tptp.m1_nattra_1 E A B C D) (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F (tptp.u1_cat_1 A)) (forall ((G $$unsorted)) (=> (tptp.m1_subset_1 G (tptp.u1_cat_1 A)) (=> (not (= (tptp.k6_cat_1 A F G) tptp.k1_xboole_0)) (forall ((H $$unsorted)) (let ((_let_1 (tptp.k13_cat_1 A B D G))) (let ((_let_2 (tptp.k13_cat_1 A B C F))) (=> (tptp.m1_cat_1 H A F G) (= (tptp.k9_cat_1 B _let_2 (tptp.k13_cat_1 A B C G) _let_1 (tptp.k3_nattra_1 A B C F G H) (tptp.k5_nattra_1 A B C D E G)) (tptp.k9_cat_1 B _let_2 (tptp.k13_cat_1 A B D F) _let_1 (tptp.k5_nattra_1 A B C D E F) (tptp.k3_nattra_1 A B D F G H)))))))))))))))))))))))) 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.m2_cat_1 D A B) (forall ((E $$unsorted)) (=> (tptp.m2_cat_1 E A B) (=> (and (tptp.r2_nattra_1 A B C D) (tptp.r2_nattra_1 A B D E)) (tptp.r2_nattra_1 A B C E)))))))))))) (forall ((A $$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 $$unsorted)) (=> (tptp.m2_cat_1 D A B) (=> (tptp.r2_nattra_1 A B C D) (forall ((E $$unsorted)) (=> (tptp.m1_nattra_1 E A B C D) (= (tptp.m2_nattra_1 E A B C D) (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F (tptp.u1_cat_1 A)) (forall ((G $$unsorted)) (=> (tptp.m1_subset_1 G (tptp.u1_cat_1 A)) (=> (not (= (tptp.k6_cat_1 A F G) tptp.k1_xboole_0)) (forall ((H $$unsorted)) (let ((_let_1 (tptp.k13_cat_1 A B D G))) (let ((_let_2 (tptp.k13_cat_1 A B C F))) (=> (tptp.m1_cat_1 H A F G) (= (tptp.k9_cat_1 B _let_2 (tptp.k13_cat_1 A B C G) _let_1 (tptp.k3_nattra_1 A B C F G H) (tptp.k5_nattra_1 A B C D E G)) (tptp.k9_cat_1 B _let_2 (tptp.k13_cat_1 A B D F) _let_1 (tptp.k5_nattra_1 A B C D E F) (tptp.k3_nattra_1 A B D F G H)))))))))))))))))))))))) (forall ((A $$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 $$unsorted)) (=> (tptp.m2_cat_1 D A B) (forall ((E $$unsorted)) (=> (tptp.m2_cat_1 E A B) (=> (and (tptp.r2_nattra_1 A B C D) (tptp.r2_nattra_1 A B D E)) (forall ((F $$unsorted)) (=> (tptp.m2_nattra_1 F A B C D) (forall ((G $$unsorted)) (=> (tptp.m2_nattra_1 G A B D E) (= (tptp.k8_nattra_1 A B C D E F G) (tptp.k6_nattra_1 A B C D E F 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 $$unsorted)) (=> (tptp.m2_cat_1 C A B) (forall ((D $$unsorted)) (=> (tptp.m2_cat_1 D A B) (=> (tptp.r2_nattra_1 A B C D) (forall ((E $$unsorted)) (=> (tptp.m2_nattra_1 E A B C D) (and (= (tptp.k8_nattra_1 A B C D D E (tptp.k7_nattra_1 A B D)) E) (= (tptp.k8_nattra_1 A B C C D (tptp.k7_nattra_1 A B C) E) E))))))))))))) (forall ((A $$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 B A) (forall ((D $$unsorted)) (=> (tptp.m2_cat_1 D B A) (forall ((E $$unsorted)) (=> (tptp.m2_cat_1 E B A) (=> (and (tptp.r2_nattra_1 B A C D) (tptp.r2_nattra_1 B A D E)) (forall ((F $$unsorted)) (=> (tptp.m2_nattra_1 F B A C D) (forall ((G $$unsorted)) (=> (tptp.m2_nattra_1 G B A D E) (forall ((H $$unsorted)) (=> (tptp.m1_subset_1 H (tptp.u1_cat_1 B)) (= (tptp.k5_nattra_1 B A C E (tptp.k8_nattra_1 B A C D E F G) H) (tptp.k9_cat_1 A (tptp.k13_cat_1 B A C H) (tptp.k13_cat_1 B A D H) (tptp.k13_cat_1 B A E H) (tptp.k5_nattra_1 B A C D F H) (tptp.k5_nattra_1 B A D E G H)))))))))))))))))))) (forall ((A $$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 $$unsorted)) (=> (tptp.m2_cat_1 D A B) (forall ((E $$unsorted)) (=> (tptp.m2_cat_1 E A B) (forall ((F $$unsorted)) (=> (tptp.m2_cat_1 F A B) (forall ((G $$unsorted)) (=> (tptp.m2_nattra_1 G A B C D) (forall ((H $$unsorted)) (=> (tptp.m2_nattra_1 H A B D E) (=> (and (tptp.r2_nattra_1 A B C D) (tptp.r2_nattra_1 A B D E) (tptp.r2_nattra_1 A B E F)) (forall ((I $$unsorted)) (=> (tptp.m2_nattra_1 I A B E F) (= (tptp.k8_nattra_1 A B C D F G (tptp.k8_nattra_1 A B D E F H I)) (tptp.k8_nattra_1 A B C E F (tptp.k8_nattra_1 A B C D E G H) I))))))))))))))))))))) (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.m2_cat_1 D A B) (forall ((E $$unsorted)) (=> (tptp.m1_nattra_1 E A B C D) (= (tptp.v1_nattra_1 E A B C D) (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F (tptp.u1_cat_1 A)) (tptp.v5_cat_1 (tptp.k5_nattra_1 A B C D E F) 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.m2_cat_1 D A B) (= (tptp.r3_nattra_1 A B C D) (and (tptp.r2_nattra_1 A B C D) (exists ((E $$unsorted)) (and (tptp.m2_nattra_1 E A B C D) (tptp.v1_nattra_1 E A B C D))))))))))))) (forall ((A $$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 $$unsorted)) (=> (tptp.m2_cat_1 D A B) (=> (tptp.r1_nattra_1 A B C D) (forall ((E $$unsorted)) (=> (tptp.m1_nattra_1 E A B C D) (=> (tptp.v1_nattra_1 E A B C D) (forall ((F $$unsorted)) (=> (tptp.m1_nattra_1 F A B D C) (= (= F (tptp.k9_nattra_1 A B C D E)) (forall ((G $$unsorted)) (=> (tptp.m1_subset_1 G (tptp.u1_cat_1 A)) (= (tptp.k5_nattra_1 A B D C F G) (tptp.k11_cat_1 B (tptp.k13_cat_1 A B C G) (tptp.k13_cat_1 A B D G) (tptp.k5_nattra_1 A B C D E 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 $$unsorted)) (=> (tptp.m2_cat_1 C A B) (forall ((D $$unsorted)) (=> (tptp.m2_cat_1 D A B) (forall ((E $$unsorted)) (=> (tptp.m2_nattra_1 E A B C D) (=> (and (tptp.r2_nattra_1 A B C D) (tptp.v1_nattra_1 E A B C D)) (= (tptp.k10_nattra_1 A B C D E) (tptp.k9_nattra_1 A B C D E))))))))))))) true (forall ((A $$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 $$unsorted)) (=> (tptp.m2_cat_1 D A B) (forall ((E $$unsorted)) (=> (tptp.m2_nattra_1 E A B C D) (=> (and (tptp.r2_nattra_1 A B C D) (tptp.v1_nattra_1 E A B C D)) (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F (tptp.u1_cat_1 A)) (= (tptp.k5_nattra_1 A B D C (tptp.k10_nattra_1 A B C D E) F) (tptp.k11_cat_1 B (tptp.k13_cat_1 A B C F) (tptp.k13_cat_1 A B D F) (tptp.k5_nattra_1 A B C D E F)))))))))))))))) (forall ((A $$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.m2_cat_1 C A B) (forall ((D $$unsorted)) (=> (tptp.m2_cat_1 D A B) (=> (tptp.r3_nattra_1 A B C D) (tptp.r3_nattra_1 A B D C)))))))))) (forall ((A $$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.m2_cat_1 C A B) (forall ((D $$unsorted)) (=> (tptp.m2_cat_1 D A B) (forall ((E $$unsorted)) (=> (tptp.m2_cat_1 E A B) (=> (and (tptp.r3_nattra_1 A B C D) (tptp.r3_nattra_1 A B D E)) (tptp.r3_nattra_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.m2_cat_1 D A B) (=> (tptp.r3_nattra_1 A B C D) (forall ((E $$unsorted)) (=> (tptp.m2_nattra_1 E A B C D) (= (tptp.m3_nattra_1 E A B C D) (tptp.v1_nattra_1 E A B C D))))))))))))) (forall ((A $$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) (tptp.m3_nattra_1 (tptp.k7_nattra_1 A B C) A B C 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.m2_cat_1 D A B) (forall ((E $$unsorted)) (=> (tptp.m2_cat_1 E A B) (=> (and (tptp.r3_nattra_1 A B C D) (tptp.r3_nattra_1 A B D E)) (forall ((F $$unsorted)) (=> (tptp.m3_nattra_1 F A B C D) (forall ((G $$unsorted)) (=> (tptp.m3_nattra_1 G A B D E) (tptp.m3_nattra_1 (tptp.k8_nattra_1 A B C D E F G) A B C E)))))))))))))))) (forall ((A $$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)) (=> (not (tptp.v1_xboole_0 C)) (= (tptp.m4_nattra_1 C A B) (forall ((D $$unsorted)) (not (and (tptp.r2_hidden D C) (forall ((E $$unsorted)) (=> (tptp.m2_cat_1 E A B) (forall ((F $$unsorted)) (=> (tptp.m2_cat_1 F A B) (forall ((G $$unsorted)) (=> (tptp.m2_nattra_1 G A B E F) (not (and (= D (tptp.k4_tarski (tptp.k4_tarski E F) G)) (tptp.r2_nattra_1 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 $$unsorted)) (=> (tptp.m4_nattra_1 C A B) (= (= C (tptp.k11_nattra_1 A B)) (forall ((D $$unsorted)) (= (tptp.r2_hidden D C) (exists ((E $$unsorted)) (and (tptp.m2_cat_1 E A B) (exists ((F $$unsorted)) (and (tptp.m2_cat_1 F A B) (exists ((G $$unsorted)) (and (tptp.m2_nattra_1 G A B E F) (= D (tptp.k4_tarski (tptp.k4_tarski E F) G)) (tptp.r2_nattra_1 A B E F)))))))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (=> (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 $$unsorted)) (=> (and (tptp.v1_funct_1 F) (tptp.v1_funct_2 F C D) (tptp.m2_relset_1 F C D)) (= (tptp.r4_nattra_1 A B C D E F) (and (= A C) (forall ((G $$unsorted)) (=> (tptp.m1_subset_1 G A) (= (tptp.k8_funct_2 A B E G) (tptp.k1_funct_1 F 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 $$unsorted)) (=> (tptp.m2_cat_1 C A B) (forall ((D $$unsorted)) (=> (tptp.m2_cat_1 D A B) (forall ((E $$unsorted)) (=> (tptp.m2_nattra_1 E A B C D) (= (tptp.r2_nattra_1 A B C D) (tptp.r2_hidden (tptp.k4_tarski (tptp.k4_tarski C D) E) (tptp.k11_nattra_1 A B))))))))))))) (forall ((A $$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)) (=> (and (tptp.v1_cat_1 C) (tptp.v2_cat_1 C) (tptp.l1_cat_1 C)) (= (= C (tptp.k12_nattra_1 A B)) (and (= (tptp.u1_cat_1 C) (tptp.k7_cat_2 A B)) (= (tptp.u2_cat_1 C) (tptp.k11_nattra_1 A B)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k1_mcart_1 D))) (=> (tptp.m1_subset_1 D (tptp.u2_cat_1 C)) (and (= (tptp.k2_cat_1 C D) (tptp.k1_mcart_1 _let_1)) (= (tptp.k3_cat_1 C D) (tptp.k2_mcart_1 _let_1)))))) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u2_cat_1 C)) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.u2_cat_1 C)) (=> (= (tptp.k2_cat_1 C E) (tptp.k3_cat_1 C D)) (tptp.r2_hidden (tptp.k13_cat_2 C C E D) (tptp.k1_relat_1 (tptp.u5_cat_1 C)))))))) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u2_cat_1 C)) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.u2_cat_1 C)) (not (and (tptp.r2_hidden (tptp.k13_cat_2 C C E D) (tptp.k1_relat_1 (tptp.u5_cat_1 C))) (forall ((F $$unsorted)) (=> (tptp.m2_cat_1 F A B) (forall ((G $$unsorted)) (=> (tptp.m2_cat_1 G A B) (forall ((H $$unsorted)) (=> (tptp.m2_cat_1 H A B) (forall ((I $$unsorted)) (=> (tptp.m2_nattra_1 I A B F G) (forall ((J $$unsorted)) (=> (tptp.m2_nattra_1 J A B G H) (not (and (= D (tptp.k4_tarski (tptp.k4_tarski F G) I)) (= E (tptp.k4_tarski (tptp.k4_tarski G H) J)) (= (tptp.k1_funct_1 (tptp.u5_cat_1 C) (tptp.k13_cat_2 C C E D)) (tptp.k4_tarski (tptp.k4_tarski F H) (tptp.k8_nattra_1 A B F G H I J))))))))))))))))))))) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_cat_1 C)) (forall ((E $$unsorted)) (=> (tptp.m2_cat_1 E A B) (=> (= E D) (= (tptp.k10_cat_1 C D) (tptp.k4_tarski (tptp.k4_tarski E E) (tptp.k7_nattra_1 A B E)))))))))))))))) true 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 $$unsorted)) (=> (tptp.m2_cat_1 C A B) (forall ((D $$unsorted)) (=> (tptp.m2_cat_1 D A B) (forall ((E $$unsorted)) (=> (tptp.m2_nattra_1 E A B C D) (forall ((F $$unsorted)) (let ((_let_1 (tptp.k12_nattra_1 A B))) (=> (tptp.m1_subset_1 F (tptp.u2_cat_1 _let_1)) (=> (= F (tptp.k4_tarski (tptp.k4_tarski C D) E)) (and (= (tptp.k2_cat_1 _let_1 F) C) (= (tptp.k3_cat_1 _let_1 F) 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 $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_cat_1 (tptp.k12_nattra_1 A B))) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_cat_1 (tptp.k12_nattra_1 A B))) (forall ((E $$unsorted)) (let ((_let_1 (tptp.k12_nattra_1 A B))) (=> (tptp.m1_cat_1 E _let_1 C D) (not (and (not (= (tptp.k6_cat_1 _let_1 C D) tptp.k1_xboole_0)) (forall ((F $$unsorted)) (=> (tptp.m2_cat_1 F A B) (forall ((G $$unsorted)) (=> (tptp.m2_cat_1 G A B) (forall ((H $$unsorted)) (=> (tptp.m2_nattra_1 H A B F G) (not (and (= C F) (= D G) (= E (tptp.k4_tarski (tptp.k4_tarski F G) H))))))))))))))))))))))) (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.m2_cat_1 D A B) (forall ((E $$unsorted)) (=> (tptp.m2_cat_1 E A B) (forall ((F $$unsorted)) (=> (tptp.m2_cat_1 F A B) (forall ((G $$unsorted)) (=> (tptp.m2_nattra_1 G A B E F) (forall ((H $$unsorted)) (=> (tptp.m2_nattra_1 H A B C D) (forall ((I $$unsorted)) (=> (tptp.m1_subset_1 I (tptp.u2_cat_1 (tptp.k12_nattra_1 A B))) (forall ((J $$unsorted)) (let ((_let_1 (tptp.u2_cat_1 B))) (let ((_let_2 (tptp.u2_cat_1 A))) (let ((_let_3 (tptp.k12_nattra_1 A B))) (=> (tptp.m1_subset_1 J (tptp.u2_cat_1 _let_3)) (=> (and (= I (tptp.k4_tarski (tptp.k4_tarski E F) G)) (= J (tptp.k4_tarski (tptp.k4_tarski C D) H))) (= (tptp.r2_hidden (tptp.k13_cat_2 _let_3 _let_3 J I) (tptp.k1_relat_1 (tptp.u5_cat_1 _let_3))) (tptp.r4_nattra_1 _let_2 _let_1 _let_2 _let_1 F 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.m2_cat_1 D A B) (forall ((E $$unsorted)) (=> (tptp.m2_cat_1 E A B) (forall ((F $$unsorted)) (=> (tptp.m2_nattra_1 F A B C D) (forall ((G $$unsorted)) (=> (tptp.m2_nattra_1 G A B D E) (forall ((H $$unsorted)) (=> (tptp.m1_subset_1 H (tptp.u2_cat_1 (tptp.k12_nattra_1 A B))) (forall ((I $$unsorted)) (let ((_let_1 (tptp.k12_nattra_1 A B))) (=> (tptp.m1_subset_1 I (tptp.u2_cat_1 _let_1)) (=> (and (= H (tptp.k4_tarski (tptp.k4_tarski C D) F)) (= I (tptp.k4_tarski (tptp.k4_tarski D E) G))) (= (tptp.k4_cat_1 _let_1 H I) (tptp.k4_tarski (tptp.k4_tarski C E) (tptp.k8_nattra_1 A B C D E F G))))))))))))))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A)) (= (tptp.v2_nattra_1 A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u2_cat_1 A)) (exists ((C $$unsorted)) (and (tptp.m1_subset_1 C (tptp.u1_cat_1 A)) (= B (tptp.k10_cat_1 A C))))))))) true (forall ((A $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.v2_nattra_1 A) (tptp.l1_cat_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_cat_1 A)) (= (tptp.k6_cat_1 A B B) (tptp.k1_tarski (tptp.k10_cat_1 A B))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A)) (= (tptp.v2_nattra_1 A) (and (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_cat_1 A)) (exists ((C $$unsorted)) (and (tptp.v1_finset_1 C) (= C (tptp.k6_cat_1 A B B)) (= (tptp.k4_card_1 C) tptp.np__1))))) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_cat_1 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_cat_1 A)) (=> (not (= B C)) (= (tptp.k6_cat_1 A B C) tptp.k1_xboole_0)))))))))) (forall ((A $$unsorted) (B $$unsorted)) (tptp.v2_nattra_1 (tptp.k8_cat_1 A B))) (forall ((A $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.v2_nattra_1 A) (tptp.l1_cat_1 A)) (forall ((B $$unsorted)) (=> (tptp.m3_cat_2 B A) (tptp.v2_nattra_1 B))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v2_cat_1 B) (tptp.l1_cat_1 B)) (=> (and (tptp.v2_nattra_1 A) (tptp.v2_nattra_1 B)) (tptp.v2_nattra_1 (tptp.k11_cat_2 A B))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.v2_nattra_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 B A) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u2_cat_1 A))) (let ((_let_2 (tptp.u2_cat_1 B))) (=> (tptp.m2_cat_1 D B A) (=> (tptp.r1_nattra_1 B A C D) (tptp.r4_nattra_1 _let_2 _let_1 _let_2 _let_1 C D)))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.v2_nattra_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 B A) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u2_cat_1 A))) (let ((_let_2 (tptp.u1_cat_1 B))) (=> (tptp.m1_nattra_1 D B A C C) (tptp.r4_nattra_1 _let_2 _let_1 _let_2 _let_1 D (tptp.k7_nattra_1 B A C)))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v2_cat_1 B) (tptp.l1_cat_1 B)) (=> (tptp.v2_nattra_1 A) (tptp.v2_nattra_1 (tptp.k12_nattra_1 B A))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_cat_1 A) (tptp.v2_cat_1 A) (tptp.l1_cat_1 A)) (=> (tptp.v2_nattra_1 A) (= (tptp.k13_nattra_1 A) A)))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k13_nattra_1 A))) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A)) (= (tptp.k13_nattra_1 _let_1) _let_1)))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k8_cat_1 A B))) (= (tptp.k13_nattra_1 _let_1) _let_1))) (forall ((A $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v2_cat_1 B) (tptp.l1_cat_1 B)) (= (tptp.k13_nattra_1 (tptp.k11_cat_2 A B)) (tptp.k11_cat_2 (tptp.k13_nattra_1 A) (tptp.k13_nattra_1 B))))))) (=> (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.f1_s1_nattra_1) (not (tptp.r1_xboole_0 tptp.f2_s1_nattra_1 (tptp.f3_s1_nattra_1 A))))) (exists ((A $$unsorted)) (and (tptp.v1_funct_1 A) (tptp.v1_funct_2 A tptp.f1_s1_nattra_1 tptp.f2_s1_nattra_1) (tptp.m2_relset_1 A tptp.f1_s1_nattra_1 tptp.f2_s1_nattra_1) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.f1_s1_nattra_1) (tptp.r2_hidden (tptp.k8_funct_2 tptp.f1_s1_nattra_1 tptp.f2_s1_nattra_1 A B) (tptp.f3_s1_nattra_1 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.m2_cat_1 C A B) (tptp.m2_cat_1 D A B)) (forall ((E $$unsorted)) (let ((_let_1 (tptp.u2_cat_1 B))) (let ((_let_2 (tptp.u1_cat_1 A))) (=> (tptp.m1_nattra_1 E A B C D) (and (tptp.v1_funct_1 E) (tptp.v1_funct_2 E _let_2 _let_1) (tptp.m2_relset_1 E _let_2 _let_1)))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A) (tptp.v2_cat_1 B) (tptp.l1_cat_1 B) (tptp.m2_cat_1 C A B) (tptp.m2_cat_1 D A B)) (exists ((E $$unsorted)) (tptp.m1_nattra_1 E A B 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.m2_cat_1 C A B) (tptp.m2_cat_1 D A B)) (forall ((E $$unsorted)) (=> (tptp.m2_nattra_1 E A B C D) (tptp.m1_nattra_1 E A B C D))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A) (tptp.v2_cat_1 B) (tptp.l1_cat_1 B) (tptp.m2_cat_1 C A B) (tptp.m2_cat_1 D A B)) (exists ((E $$unsorted)) (tptp.m2_nattra_1 E A B 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.m2_cat_1 C A B) (tptp.m2_cat_1 D A B)) (forall ((E $$unsorted)) (=> (tptp.m3_nattra_1 E A B C D) (tptp.m2_nattra_1 E A B C D))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A) (tptp.v2_cat_1 B) (tptp.l1_cat_1 B) (tptp.m2_cat_1 C A B) (tptp.m2_cat_1 D A B)) (exists ((E $$unsorted)) (tptp.m3_nattra_1 E A B C D)))) (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 $$unsorted)) (=> (tptp.m4_nattra_1 C A B) (not (tptp.v1_xboole_0 C)))))) (forall ((A $$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.m4_nattra_1 C 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.m2_cat_1 C A B) (tptp.m2_cat_1 D A B)) (tptp.r1_nattra_1 A B C C))) (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.m2_cat_1 D A B)) (tptp.r2_nattra_1 A B C C))) (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.m2_cat_1 D A B)) (tptp.r3_nattra_1 A B C C))) (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 B) (tptp.m1_relset_1 E A B) (tptp.v1_funct_1 F) (tptp.v1_funct_2 F C D) (tptp.m1_relset_1 F C D)) (=> (tptp.r4_nattra_1 A B C D E F) (tptp.r4_nattra_1 A B C D F E)))) (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 B) (tptp.m1_relset_1 E A B) (tptp.v1_funct_1 F) (tptp.v1_funct_2 F C D) (tptp.m1_relset_1 F C D)) (tptp.r4_nattra_1 A B C D E E))) (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 B) (tptp.m1_relset_1 E A B) (tptp.v1_funct_1 F) (tptp.v1_funct_2 F C D) (tptp.m1_relset_1 F C D)) (= (tptp.r4_nattra_1 A B C D E F) (= E F)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k1_nattra_1 A B C D))) (=> (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.m1_subset_1 D (tptp.k1_zfmisc_1 A))) (and (tptp.v1_funct_1 _let_1) (tptp.v1_funct_2 _let_1 D B) (tptp.m2_relset_1 _let_1 D B))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$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.m1_subset_1 D (tptp.k1_zfmisc_1 A))) (= (tptp.k1_nattra_1 A B C D) (tptp.k7_relat_1 C D)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted)) (let ((_let_1 (tptp.k12_mcart_1 A B C D))) (let ((_let_2 (tptp.k2_zfmisc_1 A B))) (let ((_let_3 (tptp.k2_nattra_1 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)) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 A)) (not (tptp.v1_xboole_0 D)) (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 B)) (tptp.v1_funct_1 E) (tptp.m1_relset_1 E (tptp.k12_mcart_1 A A C C) C) (tptp.v1_funct_1 F) (tptp.m1_relset_1 F (tptp.k12_mcart_1 B B D D) D)) (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) (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)) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 A)) (not (tptp.v1_xboole_0 D)) (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 B)) (tptp.v1_funct_1 E) (tptp.m1_relset_1 E (tptp.k12_mcart_1 A A C C) C) (tptp.v1_funct_1 F) (tptp.m1_relset_1 F (tptp.k12_mcart_1 B B D D) D)) (= (tptp.k2_nattra_1 A B C D E F) (tptp.k3_funct_4 E F)))) (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.v2_cat_1 B) (tptp.l1_cat_1 B) (tptp.m2_cat_1 C A B) (tptp.m1_subset_1 D _let_1) (tptp.m1_subset_1 E _let_1) (tptp.m1_cat_1 F A D E)) (tptp.m1_cat_1 (tptp.k3_nattra_1 A B C D E F) B (tptp.k13_cat_1 A B C D) (tptp.k13_cat_1 A B C E))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A) (tptp.v2_cat_1 B) (tptp.l1_cat_1 B) (tptp.m2_cat_1 C A B)) (tptp.m1_nattra_1 (tptp.k4_nattra_1 A B C) A B C C))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A) (tptp.v2_cat_1 B) (tptp.l1_cat_1 B) (tptp.m2_cat_1 C A B) (tptp.m2_cat_1 D A B) (tptp.m1_nattra_1 E A B C D) (tptp.m1_subset_1 F (tptp.u1_cat_1 A))) (tptp.m1_cat_1 (tptp.k5_nattra_1 A B C D E F) B (tptp.k13_cat_1 A B C F) (tptp.k13_cat_1 A B D F)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted) (G $$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.m2_cat_1 D A B) (tptp.m2_cat_1 E A B) (tptp.m1_nattra_1 F A B C D) (tptp.m1_nattra_1 G A B D E)) (tptp.m1_nattra_1 (tptp.k6_nattra_1 A B C D E F G) A B C E))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A) (tptp.v2_cat_1 B) (tptp.l1_cat_1 B) (tptp.m2_cat_1 C A B)) (tptp.m2_nattra_1 (tptp.k7_nattra_1 A B C) A B C C))) (forall ((A $$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.m2_cat_1 C A B)) (= (tptp.k7_nattra_1 A B C) (tptp.k4_nattra_1 A B C)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted) (G $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A) (tptp.v2_cat_1 B) (tptp.l1_cat_1 B) (tptp.m2_cat_1 C A B) (tptp.m2_cat_1 D A B) (tptp.m2_cat_1 E A B) (tptp.m2_nattra_1 F A B C D) (tptp.m2_nattra_1 G A B D E)) (tptp.m2_nattra_1 (tptp.k8_nattra_1 A B C D E F G) A B C E))) (forall ((A $$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.m2_cat_1 C A B) (tptp.m2_cat_1 D A B) (tptp.m1_nattra_1 E A B C D)) (tptp.m1_nattra_1 (tptp.k9_nattra_1 A B C D E) A B D C))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A) (tptp.v2_cat_1 B) (tptp.l1_cat_1 B) (tptp.m2_cat_1 C A B) (tptp.m2_cat_1 D A B) (tptp.m2_nattra_1 E A B C D)) (tptp.m2_nattra_1 (tptp.k10_nattra_1 A B C D E) A B D C))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A) (tptp.v2_cat_1 B) (tptp.l1_cat_1 B)) (tptp.m4_nattra_1 (tptp.k11_nattra_1 A B) A B))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k12_nattra_1 A B))) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A) (tptp.v2_cat_1 B) (tptp.l1_cat_1 B)) (and (tptp.v1_cat_1 _let_1) (tptp.v2_cat_1 _let_1) (tptp.l1_cat_1 _let_1))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k13_nattra_1 A))) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A)) (and (tptp.v1_cat_1 _let_1) (tptp.v2_nattra_1 _let_1) (tptp.m3_cat_2 _let_1 A))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_cat_1 B) (tptp.v2_nattra_1 B) (tptp.m3_cat_2 B A)) (= (= B (tptp.k13_nattra_1 A)) (and (= (tptp.u1_cat_1 B) (tptp.u1_cat_1 A)) (= (tptp.u2_cat_1 B) (tptp.a_1_0_nattra_1 A)))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v2_cat_1 B) (tptp.l1_cat_1 B)) (= (tptp.r2_hidden A (tptp.a_1_0_nattra_1 B)) (exists ((C $$unsorted)) (and (tptp.m1_subset_1 C (tptp.u1_cat_1 B)) (= A (tptp.k10_cat_1 B C))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k2_pcomps_1 A))) (and (tptp.v1_pre_topc _let_1) (tptp.v2_pre_topc _let_1)))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k2_pcomps_1 A))) (=> (not (tptp.v1_xboole_0 A)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v1_pre_topc _let_1) (tptp.v2_pre_topc _let_1))))) (exists ((A $$unsorted)) (and (tptp.l1_pre_topc A) (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.v2_pcomps_1 A))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k5_pcomps_1 A))) (=> (tptp.l1_metric_1 A) (and (tptp.v1_pre_topc _let_1) (tptp.v2_pre_topc _let_1))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k5_pcomps_1 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_metric_1 A)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v1_pre_topc _let_1) (tptp.v2_pre_topc _let_1))))) (exists ((A $$unsorted)) (and (tptp.l1_pre_topc A) (not (tptp.v3_struct_0 A)) (tptp.v1_pre_topc A) (tptp.v2_pre_topc A) (tptp.v3_compts_1 A))) (exists ((A $$unsorted)) (and (tptp.l1_pre_topc A) (not (tptp.v3_struct_0 A)) (tptp.v1_pre_topc A) (tptp.v2_pre_topc A) (tptp.v3_pcomps_1 A))) (forall ((A $$unsorted)) (=> (tptp.l1_metric_1 A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.v1_xreal_0 C) (forall ((D $$unsorted)) (=> (tptp.v1_xreal_0 D) (=> (tptp.r1_xreal_0 C D) (tptp.r1_tarski (tptp.k9_metric_1 A B C) (tptp.k9_metric_1 A B D))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (let ((_let_1 (= (tptp.k6_pre_topc A B) tptp.k1_xboole_0))) (let ((_let_2 (= B tptp.k1_xboole_0))) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (and (not (and (not _let_1) _let_2)) (not (and (not _let_2) _let_1))))))))) true 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.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (=> (tptp.r1_pre_topc A B) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (exists ((D $$unsorted)) (and (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (tptp.r2_hidden C D) (tptp.r2_hidden D B)))))))))) (forall ((A $$unsorted)) (= (tptp.k2_pcomps_1 A) (tptp.g1_pre_topc A (tptp.k1_pcomps_1 A)))) true (forall ((A $$unsorted)) (= (tptp.u1_pre_topc (tptp.k2_pcomps_1 A)) (tptp.k1_pcomps_1 A))) (forall ((A $$unsorted)) (= (tptp.u1_struct_0 (tptp.k2_pcomps_1 A)) A)) (forall ((A $$unsorted)) (tptp.v2_compts_1 (tptp.k2_pcomps_1 (tptp.k1_tarski 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 A)) (=> (tptp.v3_compts_1 A) (tptp.v4_pre_topc (tptp.k1_struct_0 A 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.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (=> (and (tptp.r1_tarski B C) (tptp.v1_pcomps_1 C A)) (tptp.v1_pcomps_1 B A)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (=> (tptp.v1_finset_1 B) (tptp.v1_pcomps_1 B A)))))) (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (= (= C (tptp.k3_pcomps_1 A B)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (tptp.r2_hidden D C) (exists ((E $$unsorted)) (and (tptp.m1_subset_1 E (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= D (tptp.k6_pre_topc A E)) (tptp.r2_hidden E 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.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (tptp.v2_tops_2 (tptp.k3_pcomps_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.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (=> (= B tptp.k1_xboole_0) (= (tptp.k3_pcomps_1 A B) 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)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (=> (= C (tptp.k1_tarski B)) (= (tptp.k3_pcomps_1 A C) (tptp.k1_tarski (tptp.k6_pre_topc A B)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (=> (tptp.r1_tarski B C) (tptp.r1_tarski (tptp.k3_pcomps_1 A B) (tptp.k3_pcomps_1 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.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 _let_1)) (= (tptp.k3_pcomps_1 A (tptp.k4_subset_1 _let_1 B C)) (tptp.k4_subset_1 _let_1 (tptp.k3_pcomps_1 A B) (tptp.k3_pcomps_1 A C)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 _let_1))) (=> (tptp.v1_finset_1 B) (= (tptp.k6_pre_topc A (tptp.k5_setfam_1 _let_1 B)) (tptp.k5_setfam_1 _let_1 (tptp.k3_pcomps_1 A B))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (tptp.r1_setfam_1 B (tptp.k3_pcomps_1 A B)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (=> (tptp.v1_pcomps_1 B A) (tptp.v1_pcomps_1 (tptp.k3_pcomps_1 A B) A)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 _let_1))) (tptp.r1_tarski (tptp.k5_setfam_1 _let_1 B) (tptp.k5_setfam_1 _let_1 (tptp.k3_pcomps_1 A B)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 _let_1))) (=> (tptp.v1_pcomps_1 B A) (= (tptp.k6_pre_topc A (tptp.k5_setfam_1 _let_1 B)) (tptp.k5_setfam_1 _let_1 (tptp.k3_pcomps_1 A B))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 _let_1))) (=> (and (tptp.v1_pcomps_1 B A) (tptp.v2_tops_2 B A)) (tptp.v4_pre_topc (tptp.k5_setfam_1 _let_1 B) A))))))) (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (= (tptp.v2_pcomps_1 A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (not (and (tptp.r1_pre_topc A B) (tptp.v1_tops_2 B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (not (and (tptp.v1_tops_2 C A) (tptp.r1_pre_topc A C) (tptp.r1_setfam_1 C B) (tptp.v1_pcomps_1 C A)))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (=> (tptp.v2_compts_1 A) (tptp.v2_pcomps_1 A)))) (forall ((A $$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.k1_zfmisc_1 (tptp.u1_struct_0 A))) (not (and (tptp.v2_pcomps_1 A) (tptp.v4_pre_topc B A) (tptp.v4_pre_topc C A) (tptp.r1_xboole_0 B C) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (not (and (tptp.r2_hidden D C) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (not (and (tptp.v3_pre_topc E A) (tptp.v3_pre_topc F A) (tptp.r1_tarski B E) (tptp.r2_hidden D F) (tptp.r1_xboole_0 E F))))))))))) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (not (and (tptp.v3_pre_topc D A) (tptp.v3_pre_topc E A) (tptp.r1_tarski B D) (tptp.r1_tarski C E) (tptp.r1_xboole_0 D E))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (=> (and (tptp.v3_compts_1 A) (tptp.v2_pcomps_1 A)) (tptp.v4_compts_1 A)))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (=> (and (tptp.v3_compts_1 A) (tptp.v2_pcomps_1 A)) (tptp.v5_compts_1 A)))) (forall ((A $$unsorted)) (=> (tptp.l1_metric_1 A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (= (= B (tptp.k4_pcomps_1 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (tptp.r2_hidden C B) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (not (and (tptp.r2_hidden D C) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E tptp.k1_numbers) (not (and (not (tptp.r1_xreal_0 E tptp.np__0)) (tptp.r1_tarski (tptp.k9_metric_1 A D E) C))))))))))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_metric_1 A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (exists ((C $$unsorted)) (and (tptp.m1_subset_1 C tptp.k1_numbers) (not (tptp.r1_xreal_0 C tptp.np__0)) (tptp.r1_tarski (tptp.k9_metric_1 A B C) (tptp.u1_struct_0 A)))))))) (forall ((A $$unsorted)) (=> (tptp.l1_metric_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 $$unsorted)) (=> (tptp.v1_xreal_0 D) (not (and (tptp.v9_metric_1 A) (tptp.r2_hidden B (tptp.k9_metric_1 A C D)) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E tptp.k1_numbers) (not (and (not (tptp.r1_xreal_0 E tptp.np__0)) (tptp.r1_tarski (tptp.k9_metric_1 A B E) (tptp.k9_metric_1 A C D)))))))))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_metric_1 A) (forall ((B $$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)) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.u1_struct_0 A)) (forall ((F $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 F _let_1) (not (and (tptp.v9_metric_1 A) (tptp.r2_hidden D (tptp.k5_subset_1 _let_1 (tptp.k9_metric_1 A E B) (tptp.k9_metric_1 A F C))) (forall ((G $$unsorted)) (let ((_let_1 (tptp.k9_metric_1 A D G))) (=> (tptp.m1_subset_1 G tptp.k1_numbers) (not (and (tptp.r1_tarski _let_1 (tptp.k9_metric_1 A E B)) (tptp.r1_tarski _let_1 (tptp.k9_metric_1 A F C)))))))))))))))))))))) true (forall ((A $$unsorted)) (=> (tptp.l1_metric_1 A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.v1_xreal_0 C) (=> (tptp.v9_metric_1 A) (tptp.r2_hidden (tptp.k9_metric_1 A B C) (tptp.k4_pcomps_1 A))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_metric_1 A) (tptp.r2_hidden (tptp.u1_struct_0 A) (tptp.k4_pcomps_1 A)))) (forall ((A $$unsorted)) (=> (tptp.l1_metric_1 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.k4_pcomps_1 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)))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_metric_1 A) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k4_pcomps_1 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 ((A $$unsorted)) (let ((_let_1 (tptp.g1_pre_topc (tptp.u1_struct_0 A) (tptp.k4_pcomps_1 A)))) (=> (tptp.l1_metric_1 A) (and (tptp.v2_pre_topc _let_1) (tptp.l1_pre_topc _let_1))))) (forall ((A $$unsorted)) (=> (tptp.l1_metric_1 A) (= (tptp.k5_pcomps_1 A) (tptp.g1_pre_topc (tptp.u1_struct_0 A) (tptp.k4_pcomps_1 A))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v6_metric_1 A) (tptp.v7_metric_1 A) (tptp.v8_metric_1 A) (tptp.v9_metric_1 A) (tptp.l1_metric_1 A)) (tptp.v3_compts_1 (tptp.k5_pcomps_1 A)))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_1 tptp.k1_numbers) (tptp.m2_relset_1 B _let_1 tptp.k1_numbers)) (= (tptp.r1_pcomps_1 A B) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C A) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D A) (forall ((E $$unsorted)) (let ((_let_1 (tptp.k1_metric_1 A A B C D))) (let ((_let_2 (= _let_1 tptp.np__0))) (let ((_let_3 (= C D))) (=> (tptp.m1_subset_1 E A) (and (=> _let_2 _let_3) (=> _let_3 _let_2) (= _let_1 (tptp.k1_metric_1 A A B D C)) (tptp.r1_xreal_0 (tptp.k1_metric_1 A A B C E) (tptp.k3_real_1 _let_1 (tptp.k1_metric_1 A A B D E))))))))))))))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.g1_metric_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 tptp.k1_numbers) (tptp.m2_relset_1 B _let_2 tptp.k1_numbers)) (= (tptp.r1_pcomps_1 A B) (and (tptp.v6_metric_1 _let_1) (tptp.v7_metric_1 _let_1) (tptp.v8_metric_1 _let_1) (tptp.v9_metric_1 _let_1) (tptp.l1_metric_1 _let_1))))))) (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 tptp.k1_numbers) (tptp.m2_relset_1 B _let_1 tptp.k1_numbers)) (=> (tptp.r1_pcomps_1 A B) (= (tptp.k6_pcomps_1 A B) (tptp.g1_metric_1 A B)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_pre_topc A)) (= (tptp.v3_pcomps_1 A) (exists ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 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 tptp.k1_numbers) (tptp.m2_relset_1 B _let_2 tptp.k1_numbers) (tptp.r1_pcomps_1 _let_1 B) (= (tptp.k4_pcomps_1 (tptp.k6_pcomps_1 _let_1 B)) (tptp.u1_pre_topc A))))))))) (=> (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A (tptp.k1_zfmisc_1 (tptp.u1_struct_0 tptp.f1_s1_pcomps_1))) (=> (tptp.r2_hidden A tptp.f2_s1_pcomps_1) (tptp.r2_hidden (tptp.f4_s1_pcomps_1 A) tptp.f3_s1_pcomps_1)))) (exists ((A $$unsorted)) (and (tptp.v1_funct_1 A) (tptp.v1_funct_2 A tptp.f2_s1_pcomps_1 tptp.f3_s1_pcomps_1) (tptp.m2_relset_1 A tptp.f2_s1_pcomps_1 tptp.f3_s1_pcomps_1) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 tptp.f1_s1_pcomps_1))) (=> (tptp.r2_hidden B tptp.f2_s1_pcomps_1) (= (tptp.k1_funct_1 A B) (tptp.f4_s1_pcomps_1 B)))))))) (forall ((A $$unsorted)) (tptp.m1_subset_1 (tptp.k1_pcomps_1 A) (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 A)))) (forall ((A $$unsorted)) (= (tptp.k1_pcomps_1 A) (tptp.k1_zfmisc_1 A))) (forall ((A $$unsorted)) (tptp.l1_pre_topc (tptp.k2_pcomps_1 A))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_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.k3_pcomps_1 A B) _let_1)))) (forall ((A $$unsorted)) (=> (tptp.l1_metric_1 A) (tptp.m1_subset_1 (tptp.k4_pcomps_1 A) (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))))) (forall ((A $$unsorted)) (=> (tptp.l1_metric_1 A) (tptp.l1_pre_topc (tptp.k5_pcomps_1 A)))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k6_pcomps_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 tptp.k1_numbers) (tptp.m1_relset_1 B _let_2 tptp.k1_numbers)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v1_metric_1 _let_1) (tptp.v6_metric_1 _let_1) (tptp.v7_metric_1 _let_1) (tptp.v8_metric_1 _let_1) (tptp.v9_metric_1 _let_1) (tptp.l1_metric_1 _let_1)))))) (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (= (tptp.v1_pcomps_1 B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (exists ((D $$unsorted)) (and (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (tptp.r2_hidden C D) (tptp.v3_pre_topc D A) (tptp.v1_finset_1 (tptp.a_3_0_pcomps_1 A 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)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (tptp.r1_tarski (tptp.a_3_1_pcomps_1 A B C) B))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B)))) (=> (and (tptp.l1_pre_topc B) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 _let_1)) (tptp.m1_subset_1 D _let_1)) (= (tptp.r2_hidden A (tptp.a_3_0_pcomps_1 B C D)) (exists ((E $$unsorted)) (and (tptp.m1_subset_1 E (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B))) (= A E) (tptp.r2_hidden E C) (not (tptp.r1_xboole_0 E 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.v2_pre_topc B) (tptp.l1_pre_topc B) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 _let_1)) (tptp.m1_subset_1 D _let_1)) (= (tptp.r2_hidden A (tptp.a_3_1_pcomps_1 B C D)) (exists ((E $$unsorted)) (and (tptp.m1_subset_1 E (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B))) (= A E) (tptp.r2_hidden E C) (not (tptp.r1_xboole_0 E D)))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k1_ens_1 A))) (=> (not (tptp.v1_xboole_0 A)) (and (not (tptp.v1_xboole_0 _let_1)) (tptp.v1_fraenkel _let_1))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (not (tptp.v1_xboole_0 (tptp.k2_ens_1 A))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k2_mcart_1 B))) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.m1_subset_1 B (tptp.k2_ens_1 A))) (and (tptp.v1_relat_1 _let_1) (tptp.v1_funct_1 _let_1))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k12_ens_1 A))) (=> (not (tptp.v1_xboole_0 A)) (and (tptp.v1_cat_1 _let_1) (tptp.v2_cat_1 _let_1))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A)) (not (tptp.v1_xboole_0 (tptp.k17_ens_1 A))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (= (tptp.r2_hidden B (tptp.k1_ens_1 A)) (exists ((C $$unsorted)) (and (tptp.m1_subset_1 C A) (exists ((D $$unsorted)) (and (tptp.m1_subset_1 D A) (=> (= D tptp.k1_xboole_0) (= C tptp.k1_xboole_0)) (tptp.v1_funct_1 B) (tptp.v1_funct_2 B C D) (tptp.m2_relset_1 B C D))))))))) (forall ((A $$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) (tptp.r1_tarski (tptp.k1_funct_2 B C) (tptp.k1_ens_1 A)))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A))) (tptp.r1_tarski (tptp.k1_ens_1 B) (tptp.k1_ens_1 A)))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k2_ens_1 A)) (exists ((C $$unsorted)) (and (tptp.m1_subset_1 C (tptp.k1_ens_1 A)) (exists ((D $$unsorted)) (and (tptp.m1_subset_1 D A) (exists ((E $$unsorted)) (and (tptp.m1_subset_1 E A) (= B (tptp.k1_domain_1 (tptp.k2_zfmisc_1 A A) (tptp.k1_ens_1 A) (tptp.k1_domain_1 A A D E) C)) (=> (= E tptp.k1_xboole_0) (= D tptp.k1_xboole_0)) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C D E) (tptp.m2_relset_1 C D E))))))))))) (forall ((A $$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 $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D B C) (tptp.m2_relset_1 D B C)) (=> (=> (= C tptp.k1_xboole_0) (= B tptp.k1_xboole_0)) (tptp.r2_hidden (tptp.k1_domain_1 (tptp.k2_zfmisc_1 A A) (tptp.k1_zfmisc_1 (tptp.k2_zfmisc_1 B C)) (tptp.k1_domain_1 A A B C) D) (tptp.k2_ens_1 A))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (tptp.r1_tarski (tptp.k2_ens_1 A) (tptp.k2_zfmisc_1 (tptp.k2_zfmisc_1 A A) (tptp.k1_ens_1 A))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A))) (tptp.r1_tarski (tptp.k2_ens_1 B) (tptp.k2_ens_1 A)))))) true (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k2_ens_1 A)) (= (tptp.k3_ens_1 A B) (tptp.k1_mcart_1 (tptp.k1_mcart_1 B))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k2_ens_1 A)) (= (tptp.k4_ens_1 A B) (tptp.k2_mcart_1 (tptp.k1_mcart_1 B))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k2_ens_1 A)) (= B (tptp.k4_tarski (tptp.k1_domain_1 A A (tptp.k3_ens_1 A B) (tptp.k4_ens_1 A B)) (tptp.k2_mcart_1 B))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k4_ens_1 A B))) (let ((_let_2 (tptp.k3_ens_1 A B))) (let ((_let_3 (tptp.k2_mcart_1 B))) (=> (tptp.m1_subset_1 B (tptp.k2_ens_1 A)) (and (not (and (= _let_1 tptp.k1_xboole_0) (not (= _let_2 tptp.k1_xboole_0)))) (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)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (forall ((C $$unsorted) (D $$unsorted)) (=> (tptp.r2_hidden (tptp.k4_tarski (tptp.k4_tarski C D) B) (tptp.k2_ens_1 A)) (and (=> (= D tptp.k1_xboole_0) (= C tptp.k1_xboole_0)) (tptp.v1_funct_1 B) (tptp.v1_funct_2 B C D) (tptp.m2_relset_1 B C D)))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B A) (= (tptp.k5_ens_1 A B) (tptp.k1_domain_1 (tptp.k2_zfmisc_1 A A) (tptp.k1_zfmisc_1 (tptp.k2_zfmisc_1 B B)) (tptp.k1_domain_1 A A B B) (tptp.k6_partfun1 B))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k5_ens_1 A B))) (=> (tptp.m1_subset_1 B A) (and (= (tptp.k2_mcart_1 _let_1) (tptp.k6_partfun1 B)) (= (tptp.k3_ens_1 A _let_1) B) (= (tptp.k4_ens_1 A _let_1) B))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k2_ens_1 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k2_ens_1 A)) (=> (= (tptp.k4_ens_1 A B) (tptp.k3_ens_1 A C)) (= (tptp.k6_ens_1 A B C) (tptp.k4_tarski (tptp.k1_domain_1 A A (tptp.k3_ens_1 A B) (tptp.k4_ens_1 A C)) (tptp.k5_relat_1 (tptp.k2_mcart_1 B) (tptp.k2_mcart_1 C))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k2_ens_1 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k6_ens_1 A C B))) (=> (tptp.m1_subset_1 C (tptp.k2_ens_1 A)) (=> (= (tptp.k3_ens_1 A B) (tptp.k4_ens_1 A C)) (and (= (tptp.k2_mcart_1 _let_1) (tptp.k5_relat_1 (tptp.k2_mcart_1 C) (tptp.k2_mcart_1 B))) (= (tptp.k3_ens_1 A _let_1) (tptp.k3_ens_1 A C)) (= (tptp.k4_ens_1 A _let_1) (tptp.k4_ens_1 A B))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k2_ens_1 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k2_ens_1 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k2_ens_1 A)) (=> (and (= (tptp.k3_ens_1 A B) (tptp.k4_ens_1 A C)) (= (tptp.k3_ens_1 A D) (tptp.k4_ens_1 A B))) (= (tptp.k6_ens_1 A (tptp.k6_ens_1 A C B) D) (tptp.k6_ens_1 A C (tptp.k6_ens_1 A B D)))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k2_ens_1 A)) (and (= (tptp.k6_ens_1 A (tptp.k5_ens_1 A (tptp.k3_ens_1 A B)) B) B) (= (tptp.k6_ens_1 A B (tptp.k5_ens_1 A (tptp.k4_ens_1 A B))) B)))))) (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)) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D B C) (tptp.m2_relset_1 D B C)) (=> (=> (= C tptp.k1_xboole_0) (= B tptp.k1_xboole_0)) (tptp.r2_hidden (tptp.k1_domain_1 (tptp.k2_zfmisc_1 A A) (tptp.k1_zfmisc_1 (tptp.k2_zfmisc_1 B C)) (tptp.k1_domain_1 A A B C) D) (tptp.k7_ens_1 A B C))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C A) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k2_ens_1 A)) (=> (tptp.r2_hidden D (tptp.k7_ens_1 A B C)) (= D (tptp.k4_tarski (tptp.k1_domain_1 A A B C) (tptp.k2_mcart_1 D)))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C A) (tptp.r1_tarski (tptp.k7_ens_1 A B C) (tptp.k2_ens_1 A)))))))) (forall ((A $$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) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k2_ens_1 A)) (= (tptp.r2_hidden D (tptp.k7_ens_1 A B C)) (and (= (tptp.k3_ens_1 A D) B) (= (tptp.k4_ens_1 A D) C))))))))))) (forall ((A $$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 $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k2_ens_1 A)) (=> (tptp.r2_hidden D (tptp.k7_ens_1 A B C)) (tptp.r2_hidden (tptp.k2_mcart_1 D) (tptp.k1_funct_2 B C))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k2_ens_1 A)) (= (tptp.v1_ens_1 B A) (= (tptp.k2_relat_1 (tptp.k2_mcart_1 B)) (tptp.k4_ens_1 A B))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k2_ens_1 A))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_1 A) (tptp.m2_relset_1 B _let_1 A)) (= (= B (tptp.k8_ens_1 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k2_ens_1 A))) (=> (tptp.m1_subset_1 C _let_1) (= (tptp.k8_funct_2 _let_1 A B C) (tptp.k3_ens_1 A C))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k2_ens_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.k9_ens_1 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k2_ens_1 A))) (=> (tptp.m1_subset_1 C _let_1) (= (tptp.k8_funct_2 _let_1 A B C) (tptp.k4_ens_1 A C))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k2_ens_1 A))) (=> (and (tptp.v1_funct_1 B) (tptp.m2_relset_1 B (tptp.k2_zfmisc_1 _let_1 _let_1) _let_1)) (= (= B (tptp.k10_ens_1 A)) (and (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k2_ens_1 A)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k2_ens_1 A))) (=> (tptp.m1_subset_1 D _let_1) (= (tptp.r2_hidden (tptp.k1_domain_1 _let_1 _let_1 C D) (tptp.k1_relat_1 B)) (= (tptp.k3_ens_1 A C) (tptp.k4_ens_1 A D)))))))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k2_ens_1 A)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k2_ens_1 A))) (=> (tptp.m1_subset_1 D _let_1) (=> (= (tptp.k3_ens_1 A C) (tptp.k4_ens_1 A D)) (= (tptp.k1_funct_1 B (tptp.k1_domain_1 _let_1 _let_1 C D)) (tptp.k6_ens_1 A D C))))))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k2_ens_1 A))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B A _let_1) (tptp.m2_relset_1 B A _let_1)) (= (= B (tptp.k11_ens_1 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C A) (= (tptp.k8_funct_2 A (tptp.k2_ens_1 A) B C) (tptp.k5_ens_1 A C)))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (= (tptp.k12_ens_1 A) (tptp.g1_cat_1 A (tptp.k2_ens_1 A) (tptp.k8_ens_1 A) (tptp.k9_ens_1 A) (tptp.k10_ens_1 A) (tptp.k11_ens_1 A))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.g1_cat_1 A (tptp.k2_ens_1 A) (tptp.k8_ens_1 A) (tptp.k9_ens_1 A) (tptp.k10_ens_1 A) (tptp.k11_ens_1 A)))) (=> (not (tptp.v1_xboole_0 A)) (and (tptp.v2_cat_1 _let_1) (tptp.l1_cat_1 _let_1))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B A) (tptp.m1_subset_1 B (tptp.u1_cat_1 (tptp.k12_ens_1 A))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B A) (= (tptp.k13_ens_1 A B) B))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_cat_1 (tptp.k12_ens_1 A))) (tptp.m1_subset_1 B A))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_cat_1 (tptp.k12_ens_1 A))) (= (tptp.k14_ens_1 A B) B))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k2_ens_1 A)) (tptp.m1_subset_1 B (tptp.u2_cat_1 (tptp.k12_ens_1 A))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k2_ens_1 A)) (= (tptp.k15_ens_1 A B) B))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u2_cat_1 (tptp.k12_ens_1 A))) (tptp.m1_subset_1 B (tptp.k2_ens_1 A)))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u2_cat_1 (tptp.k12_ens_1 A))) (= (tptp.k16_ens_1 A B) B))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k16_ens_1 A B))) (let ((_let_2 (tptp.k12_ens_1 A))) (=> (tptp.m1_subset_1 B (tptp.u2_cat_1 _let_2)) (and (= (tptp.k2_cat_1 _let_2 B) (tptp.k3_ens_1 A _let_1)) (= (tptp.k3_cat_1 _let_2 B) (tptp.k4_ens_1 A _let_1))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_cat_1 (tptp.k12_ens_1 A))) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k12_ens_1 A))) (=> (tptp.m1_subset_1 C (tptp.u1_cat_1 _let_1)) (= (tptp.k6_cat_1 _let_1 B C) (tptp.k7_ens_1 A (tptp.k14_ens_1 A B) (tptp.k14_ens_1 A C)))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u2_cat_1 (tptp.k12_ens_1 A))) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k12_ens_1 A))) (=> (tptp.m1_subset_1 C (tptp.u2_cat_1 _let_1)) (=> (= (tptp.k2_cat_1 _let_1 B) (tptp.k3_cat_1 _let_1 C)) (= (tptp.k4_cat_1 _let_1 C B) (tptp.k6_ens_1 A (tptp.k16_ens_1 A C) (tptp.k16_ens_1 A B))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k12_ens_1 A))) (=> (tptp.m1_subset_1 B (tptp.u1_cat_1 _let_1)) (= (tptp.k10_cat_1 _let_1 B) (tptp.k5_ens_1 A (tptp.k14_ens_1 A B)))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k12_ens_1 A))) (=> (tptp.m1_subset_1 B (tptp.u1_cat_1 _let_1)) (=> (= B tptp.k1_xboole_0) (tptp.v7_cat_1 B _let_1))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k12_ens_1 A))) (=> (tptp.m1_subset_1 B (tptp.u1_cat_1 _let_1)) (=> (and (tptp.r2_hidden tptp.k1_xboole_0 A) (tptp.v7_cat_1 B _let_1)) (= B tptp.k1_xboole_0))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v1_classes2 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k12_ens_1 A))) (=> (tptp.m1_subset_1 B (tptp.u1_cat_1 _let_1)) (=> (tptp.v7_cat_1 B _let_1) (= B tptp.k1_xboole_0))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k12_ens_1 A))) (=> (tptp.m1_subset_1 B (tptp.u1_cat_1 _let_1)) (=> (exists ((C $$unsorted)) (= B (tptp.k1_tarski C))) (tptp.v6_cat_1 B _let_1))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k12_ens_1 A))) (=> (tptp.m1_subset_1 B (tptp.u1_cat_1 _let_1)) (not (and (not (= A (tptp.k1_tarski tptp.k1_xboole_0))) (tptp.v6_cat_1 B _let_1) (forall ((C $$unsorted)) (not (= B (tptp.k1_tarski C))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v1_classes2 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k12_ens_1 A))) (=> (tptp.m1_subset_1 B (tptp.u1_cat_1 _let_1)) (not (and (tptp.v6_cat_1 B _let_1) (forall ((C $$unsorted)) (not (= B (tptp.k1_tarski C))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k12_ens_1 A))) (=> (tptp.m1_subset_1 B (tptp.u2_cat_1 _let_1)) (= (tptp.v3_cat_1 B _let_1) (tptp.v2_funct_1 (tptp.k2_mcart_1 (tptp.k16_ens_1 A B))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k12_ens_1 A))) (=> (tptp.m1_subset_1 B (tptp.u2_cat_1 _let_1)) (=> (tptp.v4_cat_1 B _let_1) (or (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C A) (forall ((D $$unsorted) (E $$unsorted)) (not (and (tptp.r2_hidden D C) (tptp.r2_hidden E C) (not (= D E))))))) (tptp.v1_ens_1 (tptp.k16_ens_1 A B) A)))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k12_ens_1 A))) (=> (tptp.m1_subset_1 B (tptp.u2_cat_1 _let_1)) (=> (tptp.v1_ens_1 (tptp.k16_ens_1 A B) A) (tptp.v4_cat_1 B _let_1))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v1_classes2 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k12_ens_1 A))) (=> (tptp.m1_subset_1 B (tptp.u2_cat_1 _let_1)) (=> (tptp.v4_cat_1 B _let_1) (tptp.v1_ens_1 (tptp.k16_ens_1 A B) A))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A))) (tptp.r1_cat_2 (tptp.k12_ens_1 B) (tptp.k12_ens_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)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_cat_1 A)) (tptp.r2_hidden (tptp.k6_cat_1 A B C) (tptp.k17_ens_1 A)))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_cat_1 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k3_cat_1 A C))) (let ((_let_2 (tptp.k2_cat_1 A C))) (=> (tptp.m1_subset_1 C (tptp.u2_cat_1 A)) (and (=> (= (tptp.k6_cat_1 A B _let_1) tptp.k1_xboole_0) (= (tptp.k6_cat_1 A B _let_2) tptp.k1_xboole_0)) (=> (= (tptp.k6_cat_1 A _let_2 B) tptp.k1_xboole_0) (= (tptp.k6_cat_1 A _let_1 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 $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u2_cat_1 A)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k6_cat_1 A B (tptp.k3_cat_1 A C)))) (let ((_let_2 (tptp.k6_cat_1 A B (tptp.k2_cat_1 A 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)) (= (= D (tptp.k18_ens_1 A B C)) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.u2_cat_1 A)) (=> (tptp.r2_hidden E (tptp.k6_cat_1 A B (tptp.k2_cat_1 A C))) (= (tptp.k1_funct_1 D E) (tptp.k4_cat_1 A E C)))))))))))))))) (forall ((A $$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)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k6_cat_1 A (tptp.k2_cat_1 A C) B))) (let ((_let_2 (tptp.k6_cat_1 A (tptp.k3_cat_1 A C) B))) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D _let_2 _let_1) (tptp.m2_relset_1 D _let_2 _let_1)) (= (= D (tptp.k19_ens_1 A B C)) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.u2_cat_1 A)) (=> (tptp.r2_hidden E (tptp.k6_cat_1 A (tptp.k3_cat_1 A C) B)) (= (tptp.k1_funct_1 D E) (tptp.k4_cat_1 A 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)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_cat_1 A)) (= (tptp.k18_ens_1 A B (tptp.k10_cat_1 A C)) (tptp.k6_partfun1 (tptp.k6_cat_1 A B C))))))))) (forall ((A $$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)) (= (tptp.k19_ens_1 A C (tptp.k10_cat_1 A B)) (tptp.k6_partfun1 (tptp.k6_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 $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u2_cat_1 A)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k2_cat_1 A C))) (let ((_let_2 (tptp.k3_cat_1 A D))) (=> (tptp.m1_subset_1 D (tptp.u2_cat_1 A)) (=> (= _let_1 _let_2) (= (tptp.k18_ens_1 A B (tptp.k4_cat_1 A D C)) (tptp.k1_partfun1 (tptp.k6_cat_1 A B (tptp.k2_cat_1 A D)) (tptp.k6_cat_1 A B _let_2) (tptp.k6_cat_1 A B _let_1) (tptp.k6_cat_1 A B (tptp.k3_cat_1 A C)) (tptp.k18_ens_1 A B D) (tptp.k18_ens_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 $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u2_cat_1 A)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k3_cat_1 A D))) (let ((_let_2 (tptp.k2_cat_1 A C))) (=> (tptp.m1_subset_1 D (tptp.u2_cat_1 A)) (=> (= _let_2 _let_1) (= (tptp.k19_ens_1 A B (tptp.k4_cat_1 A D C)) (tptp.k1_partfun1 (tptp.k6_cat_1 A (tptp.k3_cat_1 A C) B) (tptp.k6_cat_1 A _let_2 B) (tptp.k6_cat_1 A _let_1 B) (tptp.k6_cat_1 A (tptp.k2_cat_1 A D) B) (tptp.k19_ens_1 A B C) (tptp.k19_ens_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 $$unsorted)) (let ((_let_1 (tptp.k6_cat_1 A B (tptp.k3_cat_1 A C)))) (let ((_let_2 (tptp.k6_cat_1 A B (tptp.k2_cat_1 A C)))) (let ((_let_3 (tptp.u2_cat_1 A))) (let ((_let_4 (tptp.k1_zfmisc_1 _let_3))) (=> (tptp.m1_subset_1 C _let_3) (tptp.m1_subset_1 (tptp.k1_domain_1 (tptp.k2_zfmisc_1 _let_4 _let_4) (tptp.k1_zfmisc_1 (tptp.k2_zfmisc_1 _let_2 _let_1)) (tptp.k1_domain_1 _let_4 _let_4 _let_2 _let_1) (tptp.k18_ens_1 A B C)) (tptp.k2_ens_1 (tptp.k17_ens_1 A))))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_cat_1 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k6_cat_1 A (tptp.k2_cat_1 A C) B))) (let ((_let_2 (tptp.k6_cat_1 A (tptp.k3_cat_1 A C) B))) (let ((_let_3 (tptp.u2_cat_1 A))) (let ((_let_4 (tptp.k1_zfmisc_1 _let_3))) (=> (tptp.m1_subset_1 C _let_3) (tptp.m1_subset_1 (tptp.k1_domain_1 (tptp.k2_zfmisc_1 _let_4 _let_4) (tptp.k1_zfmisc_1 (tptp.k2_zfmisc_1 _let_2 _let_1)) (tptp.k1_domain_1 _let_4 _let_4 _let_2 _let_1) (tptp.k19_ens_1 A B C)) (tptp.k2_ens_1 (tptp.k17_ens_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)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k2_ens_1 (tptp.k17_ens_1 A)))) (let ((_let_2 (tptp.u2_cat_1 A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.m2_relset_1 C _let_2 _let_1)) (= (= C (tptp.k20_ens_1 A B)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k6_cat_1 A B (tptp.k3_cat_1 A D)))) (let ((_let_2 (tptp.k6_cat_1 A B (tptp.k2_cat_1 A D)))) (let ((_let_3 (tptp.u2_cat_1 A))) (let ((_let_4 (tptp.k1_zfmisc_1 _let_3))) (=> (tptp.m1_subset_1 D _let_3) (= (tptp.k8_funct_2 _let_3 (tptp.k2_ens_1 (tptp.k17_ens_1 A)) C D) (tptp.k1_domain_1 (tptp.k2_zfmisc_1 _let_4 _let_4) (tptp.k1_zfmisc_1 (tptp.k2_zfmisc_1 _let_2 _let_1)) (tptp.k1_domain_1 _let_4 _let_4 _let_2 _let_1) (tptp.k18_ens_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 $$unsorted)) (let ((_let_1 (tptp.k2_ens_1 (tptp.k17_ens_1 A)))) (let ((_let_2 (tptp.u2_cat_1 A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.m2_relset_1 C _let_2 _let_1)) (= (= C (tptp.k21_ens_1 A B)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k6_cat_1 A (tptp.k2_cat_1 A D) B))) (let ((_let_2 (tptp.k6_cat_1 A (tptp.k3_cat_1 A D) B))) (let ((_let_3 (tptp.u2_cat_1 A))) (let ((_let_4 (tptp.k1_zfmisc_1 _let_3))) (=> (tptp.m1_subset_1 D _let_3) (= (tptp.k8_funct_2 _let_3 (tptp.k2_ens_1 (tptp.k17_ens_1 A)) C D) (tptp.k1_domain_1 (tptp.k2_zfmisc_1 _let_4 _let_4) (tptp.k1_zfmisc_1 (tptp.k2_zfmisc_1 _let_2 _let_1)) (tptp.k1_domain_1 _let_4 _let_4 _let_2 _let_1) (tptp.k19_ens_1 A B D)))))))))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (and (tptp.v2_cat_1 B) (tptp.l1_cat_1 B)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_cat_1 B)) (=> (tptp.r1_tarski (tptp.k17_ens_1 B) A) (tptp.m2_cat_1 (tptp.k20_ens_1 B C) B (tptp.k12_ens_1 A))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 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.r1_tarski (tptp.k17_ens_1 B) A) (tptp.m1_oppcat_1 (tptp.k21_ens_1 B C) B (tptp.k12_ens_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 $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u2_cat_1 A)) (=> (= (tptp.k6_cat_1 A (tptp.k2_cat_1 A B) (tptp.k3_cat_1 A C)) tptp.k1_xboole_0) (= (tptp.k6_cat_1 A (tptp.k3_cat_1 A B) (tptp.k2_cat_1 A C)) tptp.k1_xboole_0)))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u2_cat_1 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u2_cat_1 A)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k6_cat_1 A (tptp.k2_cat_1 A B) (tptp.k3_cat_1 A C)))) (let ((_let_2 (tptp.k6_cat_1 A (tptp.k3_cat_1 A B) (tptp.k2_cat_1 A C)))) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D _let_2 _let_1) (tptp.m2_relset_1 D _let_2 _let_1)) (= (= D (tptp.k22_ens_1 A B C)) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.u2_cat_1 A)) (=> (tptp.r2_hidden E (tptp.k6_cat_1 A (tptp.k3_cat_1 A B) (tptp.k2_cat_1 A C))) (= (tptp.k1_funct_1 D E) (tptp.k4_cat_1 A B (tptp.k4_cat_1 A E 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 $$unsorted)) (let ((_let_1 (tptp.k6_cat_1 A (tptp.k2_cat_1 A B) (tptp.k3_cat_1 A C)))) (let ((_let_2 (tptp.k6_cat_1 A (tptp.k3_cat_1 A B) (tptp.k2_cat_1 A C)))) (let ((_let_3 (tptp.u2_cat_1 A))) (let ((_let_4 (tptp.k1_zfmisc_1 _let_3))) (=> (tptp.m1_subset_1 C _let_3) (tptp.m1_subset_1 (tptp.k1_domain_1 (tptp.k2_zfmisc_1 _let_4 _let_4) (tptp.k1_zfmisc_1 (tptp.k2_zfmisc_1 _let_2 _let_1)) (tptp.k1_domain_1 _let_4 _let_4 _let_2 _let_1) (tptp.k22_ens_1 A B C)) (tptp.k2_ens_1 (tptp.k17_ens_1 A))))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_cat_1 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k10_cat_1 A B))) (=> (tptp.m1_subset_1 C (tptp.u2_cat_1 A)) (and (= (tptp.k22_ens_1 A _let_1 C) (tptp.k18_ens_1 A B C)) (= (tptp.k22_ens_1 A C _let_1) (tptp.k19_ens_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 $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_cat_1 A)) (= (tptp.k22_ens_1 A (tptp.k10_cat_1 A B) (tptp.k10_cat_1 A C)) (tptp.k6_partfun1 (tptp.k6_cat_1 A B C))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u2_cat_1 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k2_cat_1 A B))) (let ((_let_2 (tptp.k2_cat_1 A C))) (let ((_let_3 (tptp.k6_cat_1 A _let_1 _let_2))) (=> (tptp.m1_subset_1 C (tptp.u2_cat_1 A)) (= (tptp.k22_ens_1 A B C) (tptp.k1_partfun1 (tptp.k6_cat_1 A (tptp.k3_cat_1 A B) _let_2) _let_3 _let_3 (tptp.k6_cat_1 A _let_1 (tptp.k3_cat_1 A C)) (tptp.k19_ens_1 A _let_2 B) (tptp.k18_ens_1 A _let_1 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)) (forall ((E $$unsorted)) (let ((_let_1 (tptp.k2_cat_1 A D))) (let ((_let_2 (tptp.k3_cat_1 A B))) (let ((_let_3 (tptp.k3_cat_1 A E))) (let ((_let_4 (tptp.k2_cat_1 A C))) (=> (tptp.m1_subset_1 E (tptp.u2_cat_1 A)) (=> (and (= _let_2 _let_4) (= _let_1 _let_3)) (= (tptp.k22_ens_1 A (tptp.k4_cat_1 A B C) (tptp.k4_cat_1 A E D)) (tptp.k1_partfun1 (tptp.k6_cat_1 A (tptp.k3_cat_1 A C) (tptp.k2_cat_1 A E)) (tptp.k6_cat_1 A _let_4 _let_3) (tptp.k6_cat_1 A _let_2 _let_1) (tptp.k6_cat_1 A (tptp.k2_cat_1 A B) (tptp.k3_cat_1 A D)) (tptp.k22_ens_1 A C E) (tptp.k22_ens_1 A B D)))))))))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k2_ens_1 (tptp.k17_ens_1 A)))) (let ((_let_2 (tptp.u2_cat_1 (tptp.k11_cat_2 A A)))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_2 _let_1) (tptp.m2_relset_1 B _let_2 _let_1)) (= (= B (tptp.k23_ens_1 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u2_cat_1 A)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k6_cat_1 A (tptp.k2_cat_1 A C) (tptp.k3_cat_1 A D)))) (let ((_let_2 (tptp.k6_cat_1 A (tptp.k3_cat_1 A C) (tptp.k2_cat_1 A D)))) (let ((_let_3 (tptp.u2_cat_1 A))) (let ((_let_4 (tptp.k1_zfmisc_1 _let_3))) (=> (tptp.m1_subset_1 D _let_3) (= (tptp.k8_funct_2 (tptp.u2_cat_1 (tptp.k11_cat_2 A A)) (tptp.k2_ens_1 (tptp.k17_ens_1 A)) B (tptp.k13_cat_2 A A C D)) (tptp.k1_domain_1 (tptp.k2_zfmisc_1 _let_4 _let_4) (tptp.k1_zfmisc_1 (tptp.k2_zfmisc_1 _let_2 _let_1)) (tptp.k1_domain_1 _let_4 _let_4 _let_2 _let_1) (tptp.k22_ens_1 A C D)))))))))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k10_cat_1 A B))) (let ((_let_2 (tptp.k23_ens_1 A))) (=> (tptp.m1_subset_1 B (tptp.u1_cat_1 A)) (and (= (tptp.k20_ens_1 A B) (tptp.k1_funct_1 (tptp.k3_funct_5 _let_2) _let_1)) (= (tptp.k21_ens_1 A B) (tptp.k1_funct_1 (tptp.k5_funct_5 _let_2) _let_1))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (and (tptp.v2_cat_1 B) (tptp.l1_cat_1 B)) (=> (tptp.r1_tarski (tptp.k17_ens_1 B) A) (tptp.m2_cat_1 (tptp.k23_ens_1 B) (tptp.k11_cat_2 (tptp.k2_oppcat_1 B) B) (tptp.k12_ens_1 A))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 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.r1_tarski (tptp.k17_ens_1 B) A) (= (tptp.k24_ens_1 A B C) (tptp.k20_ens_1 B C))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (and (tptp.v2_cat_1 B) (tptp.l1_cat_1 B)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_cat_1 B)) (=> (tptp.r1_tarski (tptp.k17_ens_1 B) A) (= (tptp.k25_ens_1 A B C) (tptp.k21_ens_1 B C))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (and (tptp.v2_cat_1 B) (tptp.l1_cat_1 B)) (=> (tptp.r1_tarski (tptp.k17_ens_1 B) A) (= (tptp.k26_ens_1 A B) (tptp.k23_ens_1 B))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 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)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k6_cat_1 B C (tptp.k3_cat_1 B D)))) (let ((_let_2 (tptp.k6_cat_1 B C (tptp.k2_cat_1 B D)))) (let ((_let_3 (tptp.u2_cat_1 B))) (let ((_let_4 (tptp.k1_zfmisc_1 _let_3))) (=> (tptp.m1_subset_1 D _let_3) (=> (tptp.r1_tarski (tptp.k17_ens_1 B) A) (= (tptp.k8_funct_2 _let_3 (tptp.u2_cat_1 (tptp.k12_ens_1 A)) (tptp.k24_ens_1 A B C) D) (tptp.k1_domain_1 (tptp.k2_zfmisc_1 _let_4 _let_4) (tptp.k1_zfmisc_1 (tptp.k2_zfmisc_1 _let_2 _let_1)) (tptp.k1_domain_1 _let_4 _let_4 _let_2 _let_1) (tptp.k18_ens_1 B C D)))))))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 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)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k12_ens_1 A))) (let ((_let_2 (tptp.u1_cat_1 B))) (=> (tptp.m1_subset_1 D _let_2) (=> (tptp.r1_tarski (tptp.k17_ens_1 B) A) (= (tptp.k8_funct_2 _let_2 (tptp.u1_cat_1 _let_1) (tptp.k12_cat_1 B _let_1 (tptp.k24_ens_1 A B C)) D) (tptp.k6_cat_1 B C D))))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 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)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k6_cat_1 B (tptp.k2_cat_1 B D) C))) (let ((_let_2 (tptp.k6_cat_1 B (tptp.k3_cat_1 B D) C))) (let ((_let_3 (tptp.u2_cat_1 B))) (let ((_let_4 (tptp.k1_zfmisc_1 _let_3))) (=> (tptp.m1_subset_1 D _let_3) (=> (tptp.r1_tarski (tptp.k17_ens_1 B) A) (= (tptp.k8_funct_2 _let_3 (tptp.u2_cat_1 (tptp.k12_ens_1 A)) (tptp.k25_ens_1 A B C) D) (tptp.k1_domain_1 (tptp.k2_zfmisc_1 _let_4 _let_4) (tptp.k1_zfmisc_1 (tptp.k2_zfmisc_1 _let_2 _let_1)) (tptp.k1_domain_1 _let_4 _let_4 _let_2 _let_1) (tptp.k19_ens_1 B C D)))))))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 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)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k12_ens_1 A))) (let ((_let_2 (tptp.u1_cat_1 B))) (=> (tptp.m1_subset_1 D _let_2) (=> (tptp.r1_tarski (tptp.k17_ens_1 B) A) (= (tptp.k8_funct_2 _let_2 (tptp.u1_cat_1 _let_1) (tptp.k12_cat_1 B _let_1 (tptp.k25_ens_1 A B C)) D) (tptp.k6_cat_1 B D C))))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 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 B)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k6_cat_1 B (tptp.k2_cat_1 B C) (tptp.k3_cat_1 B D)))) (let ((_let_2 (tptp.k6_cat_1 B (tptp.k3_cat_1 B C) (tptp.k2_cat_1 B D)))) (let ((_let_3 (tptp.u2_cat_1 B))) (let ((_let_4 (tptp.k1_zfmisc_1 _let_3))) (let ((_let_5 (tptp.k2_oppcat_1 B))) (=> (tptp.m1_subset_1 D _let_3) (=> (tptp.r1_tarski (tptp.k17_ens_1 B) A) (= (tptp.k8_funct_2 (tptp.u2_cat_1 (tptp.k11_cat_2 _let_5 B)) (tptp.u2_cat_1 (tptp.k12_ens_1 A)) (tptp.k26_ens_1 A B) (tptp.k13_cat_2 _let_5 B (tptp.k5_oppcat_1 B C) D)) (tptp.k1_domain_1 (tptp.k2_zfmisc_1 _let_4 _let_4) (tptp.k1_zfmisc_1 (tptp.k2_zfmisc_1 _let_2 _let_1)) (tptp.k1_domain_1 _let_4 _let_4 _let_2 _let_1) (tptp.k22_ens_1 B C D))))))))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 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)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k2_oppcat_1 B))) (let ((_let_2 (tptp.k12_ens_1 A))) (let ((_let_3 (tptp.k11_cat_2 _let_1 B))) (=> (tptp.m1_subset_1 D (tptp.u1_cat_1 B)) (=> (tptp.r1_tarski (tptp.k17_ens_1 B) A) (= (tptp.k8_funct_2 (tptp.u1_cat_1 _let_3) (tptp.u1_cat_1 _let_2) (tptp.k12_cat_1 _let_3 _let_2 (tptp.k26_ens_1 A B)) (tptp.k12_cat_2 _let_1 B (tptp.k3_oppcat_1 B C) D)) (tptp.k6_cat_1 B C D)))))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 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.r1_tarski (tptp.k17_ens_1 B) A) (= (tptp.k14_cat_2 (tptp.k2_oppcat_1 B) B (tptp.k12_ens_1 A) (tptp.k26_ens_1 A B) (tptp.k3_oppcat_1 B C)) (tptp.k24_ens_1 A B C))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (and (tptp.v2_cat_1 B) (tptp.l1_cat_1 B)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_cat_1 B)) (=> (tptp.r1_tarski (tptp.k17_ens_1 B) A) (= (tptp.k15_cat_2 (tptp.k2_oppcat_1 B) B (tptp.k12_ens_1 A) (tptp.k26_ens_1 A B) C) (tptp.k25_ens_1 A B C))))))))) true true (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.m1_subset_1 B (tptp.k2_ens_1 A))) (tptp.m1_subset_1 (tptp.k3_ens_1 A B) A))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.m1_subset_1 B (tptp.k2_ens_1 A))) (tptp.m1_subset_1 (tptp.k4_ens_1 A B) A))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.m1_subset_1 B A)) (tptp.m1_subset_1 (tptp.k5_ens_1 A B) (tptp.k2_ens_1 A)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k2_ens_1 A))) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (tptp.m1_subset_1 (tptp.k6_ens_1 A B C) _let_1)))) true (forall ((A $$unsorted)) (let ((_let_1 (tptp.k2_ens_1 A))) (let ((_let_2 (tptp.k8_ens_1 A))) (=> (not (tptp.v1_xboole_0 A)) (and (tptp.v1_funct_1 _let_2) (tptp.v1_funct_2 _let_2 _let_1 A) (tptp.m2_relset_1 _let_2 _let_1 A)))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k2_ens_1 A))) (let ((_let_2 (tptp.k9_ens_1 A))) (=> (not (tptp.v1_xboole_0 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 $$unsorted)) (let ((_let_1 (tptp.k2_ens_1 A))) (let ((_let_2 (tptp.k10_ens_1 A))) (=> (not (tptp.v1_xboole_0 A)) (and (tptp.v1_funct_1 _let_2) (tptp.m2_relset_1 _let_2 (tptp.k2_zfmisc_1 _let_1 _let_1) _let_1)))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k2_ens_1 A))) (let ((_let_2 (tptp.k11_ens_1 A))) (=> (not (tptp.v1_xboole_0 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 $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (tptp.l1_cat_1 (tptp.k12_ens_1 A)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.m1_subset_1 B A)) (tptp.m1_subset_1 (tptp.k13_ens_1 A B) (tptp.u1_cat_1 (tptp.k12_ens_1 A))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.m1_subset_1 B (tptp.u1_cat_1 (tptp.k12_ens_1 A)))) (tptp.m1_subset_1 (tptp.k14_ens_1 A B) A))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.m1_subset_1 B (tptp.k2_ens_1 A))) (tptp.m1_subset_1 (tptp.k15_ens_1 A B) (tptp.u2_cat_1 (tptp.k12_ens_1 A))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.m1_subset_1 B (tptp.u2_cat_1 (tptp.k12_ens_1 A)))) (tptp.m1_subset_1 (tptp.k16_ens_1 A B) (tptp.k2_ens_1 A)))) true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k6_cat_1 A B (tptp.k3_cat_1 A C)))) (let ((_let_2 (tptp.k6_cat_1 A B (tptp.k2_cat_1 A C)))) (let ((_let_3 (tptp.k18_ens_1 A B C))) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A) (tptp.m1_subset_1 B (tptp.u1_cat_1 A)) (tptp.m1_subset_1 C (tptp.u2_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 $$unsorted)) (let ((_let_1 (tptp.k6_cat_1 A (tptp.k2_cat_1 A C) B))) (let ((_let_2 (tptp.k6_cat_1 A (tptp.k3_cat_1 A C) B))) (let ((_let_3 (tptp.k19_ens_1 A B C))) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A) (tptp.m1_subset_1 B (tptp.u1_cat_1 A)) (tptp.m1_subset_1 C (tptp.u2_cat_1 A))) (and (tptp.v1_funct_1 _let_3) (tptp.v1_funct_2 _let_3 _let_2 _let_1) (tptp.m2_relset_1 _let_3 _let_2 _let_1))))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k2_ens_1 (tptp.k17_ens_1 A)))) (let ((_let_2 (tptp.u2_cat_1 A))) (let ((_let_3 (tptp.k20_ens_1 A B))) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A) (tptp.m1_subset_1 B (tptp.u1_cat_1 A))) (and (tptp.v1_funct_1 _let_3) (tptp.v1_funct_2 _let_3 _let_2 _let_1) (tptp.m2_relset_1 _let_3 _let_2 _let_1))))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k2_ens_1 (tptp.k17_ens_1 A)))) (let ((_let_2 (tptp.u2_cat_1 A))) (let ((_let_3 (tptp.k21_ens_1 A B))) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A) (tptp.m1_subset_1 B (tptp.u1_cat_1 A))) (and (tptp.v1_funct_1 _let_3) (tptp.v1_funct_2 _let_3 _let_2 _let_1) (tptp.m2_relset_1 _let_3 _let_2 _let_1))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k6_cat_1 A (tptp.k2_cat_1 A B) (tptp.k3_cat_1 A C)))) (let ((_let_2 (tptp.k6_cat_1 A (tptp.k3_cat_1 A B) (tptp.k2_cat_1 A C)))) (let ((_let_3 (tptp.k22_ens_1 A B C))) (let ((_let_4 (tptp.u2_cat_1 A))) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A) (tptp.m1_subset_1 B _let_4) (tptp.m1_subset_1 C _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 $$unsorted)) (let ((_let_1 (tptp.k2_ens_1 (tptp.k17_ens_1 A)))) (let ((_let_2 (tptp.u2_cat_1 (tptp.k11_cat_2 A A)))) (let ((_let_3 (tptp.k23_ens_1 A))) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A)) (and (tptp.v1_funct_1 _let_3) (tptp.v1_funct_2 _let_3 _let_2 _let_1) (tptp.m2_relset_1 _let_3 _let_2 _let_1))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v1_xboole_0 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.k24_ens_1 A B C) B (tptp.k12_ens_1 A)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v2_cat_1 B) (tptp.l1_cat_1 B) (tptp.m1_subset_1 C (tptp.u1_cat_1 B))) (tptp.m1_oppcat_1 (tptp.k25_ens_1 A B C) B (tptp.k12_ens_1 A)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v2_cat_1 B) (tptp.l1_cat_1 B)) (tptp.m2_cat_1 (tptp.k26_ens_1 A B) (tptp.k11_cat_2 (tptp.k2_oppcat_1 B) B) (tptp.k12_ens_1 A)))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (= (tptp.k1_ens_1 A) (tptp.k3_tarski (tptp.a_1_0_ens_1 A))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (= (tptp.k2_ens_1 A) (tptp.a_1_1_ens_1 A)))) (forall ((A $$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) (= (tptp.k7_ens_1 A B C) (tptp.a_3_0_ens_1 A B C)))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (= (tptp.k2_ens_1 A) (tptp.k3_tarski (tptp.a_1_2_ens_1 A))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A)) (= (tptp.k17_ens_1 A) (tptp.a_1_3_ens_1 A)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (= (tptp.r2_hidden A (tptp.a_1_0_ens_1 B)) (exists ((C $$unsorted) (D $$unsorted)) (and (tptp.m1_subset_1 C B) (tptp.m1_subset_1 D B) (= A (tptp.k1_funct_2 C D))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (= (tptp.r2_hidden A (tptp.a_1_1_ens_1 B)) (exists ((C $$unsorted) (D $$unsorted) (E $$unsorted)) (let ((_let_1 (tptp.k1_ens_1 B))) (and (tptp.m1_subset_1 C B) (tptp.m1_subset_1 D B) (tptp.m1_subset_1 E _let_1) (= A (tptp.k1_domain_1 (tptp.k2_zfmisc_1 B B) _let_1 (tptp.k1_domain_1 B B C D) E)) (=> (= D tptp.k1_xboole_0) (= C tptp.k1_xboole_0)) (tptp.v1_funct_1 E) (tptp.v1_funct_2 E C D) (tptp.m2_relset_1 E C D))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.m1_subset_1 C B) (tptp.m1_subset_1 D B)) (= (tptp.r2_hidden A (tptp.a_3_0_ens_1 B C D)) (exists ((E $$unsorted)) (let ((_let_1 (tptp.k1_ens_1 B))) (let ((_let_2 (tptp.k1_domain_1 (tptp.k2_zfmisc_1 B B) _let_1 (tptp.k1_domain_1 B B C D) E))) (and (tptp.m1_subset_1 E _let_1) (= A _let_2) (tptp.r2_hidden _let_2 (tptp.k2_ens_1 B))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (= (tptp.r2_hidden A (tptp.a_1_2_ens_1 B)) (exists ((C $$unsorted) (D $$unsorted)) (and (tptp.m1_subset_1 C B) (tptp.m1_subset_1 D B) (= A (tptp.k7_ens_1 B C D))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v2_cat_1 B) (tptp.l1_cat_1 B)) (= (tptp.r2_hidden A (tptp.a_1_3_ens_1 B)) (exists ((C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.u1_cat_1 B))) (and (tptp.m1_subset_1 C _let_1) (tptp.m1_subset_1 D _let_1) (= A (tptp.k6_cat_1 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_31 (tptp.k1_rcomp_1 tptp.np__0 tptp.np__1)) (= tptp.k23_borsuk_1 tptp.np__0) (= tptp.k24_borsuk_1 tptp.np__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.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_31) (tptp.m1_subset_1 tptp.k24_borsuk_1 _let_31) (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 $$unsorted)) (=> (and (tptp.r2_hidden B C) (tptp.r2_hidden C A)) (tptp.r2_hidden B A))))) (and (= (tptp.k1_binop_1 tptp.k2_midsp_1 tptp.k1_xboole_0 tptp.k1_xboole_0) tptp.k1_xboole_0) (= (tptp.k1_funct_1 tptp.k7_vectsp_2 tptp.k1_xboole_0) tptp.k1_xboole_0) (= tptp.k8_vectsp_2 tptp.k1_xboole_0)) (forall ((A $$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_17 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 $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 E _let_2) (= (tptp.k8_funct_2 _let_2 _let_1 C (tptp.k2_rlvect_1 A D E)) (tptp.k2_rlvect_1 B (tptp.k8_funct_2 _let_2 _let_1 C D) (tptp.k8_funct_2 _let_2 _let_1 C E)))))))))))))))))) (= (tptp.k7_vectsp_1 tptp.k2_algstr_1) tptp.k7_vectsp_2) (forall ((A $$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 $$unsorted)) (=> (and (tptp.v2_grcat_1 B) (tptp.v3_grcat_1 B) (tptp.l1_grcat_1 B)) (=> (= (tptp.k9_grcat_1 B) A) (= (tptp.k15_grcat_1 B (tptp.k13_grcat_1 A)) B)))))))) (forall ((A $$unsorted)) (= (tptp.v4_grcat_1 A) (forall ((B $$unsorted)) (=> (tptp.r2_hidden B A) (and (not (tptp.v3_struct_0 B)) (tptp.v1_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.l1_rlvect_1 B)))))) (forall ((A $$unsorted)) (= (tptp.v5_grcat_1 A) (forall ((B $$unsorted)) (=> (tptp.r2_hidden B A) (and (tptp.v2_grcat_1 B) (tptp.v3_grcat_1 B) (tptp.l1_grcat_1 B)))))) true true (forall ((A $$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 $$unsorted)) (= (tptp.r2_hidden D C) (and (tptp.v2_grcat_1 D) (tptp.m1_grcat_1 D A B))))))))))) (forall ((A $$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)))))))) (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 $$unsorted)) (=> (and (tptp.v6_metric_1 A) (tptp.v7_metric_1 A) (tptp.v8_metric_1 A) (tptp.v9_metric_1 A) (tptp.l1_metric_1 A)) (exists ((B $$unsorted)) (and (tptp.m1_topmetr B A) (tptp.v1_metric_1 B) (tptp.v6_metric_1 B) (tptp.v7_metric_1 B) (tptp.v8_metric_1 B) (tptp.v9_metric_1 B))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v6_metric_1 A) (tptp.v7_metric_1 A) (tptp.v8_metric_1 A) (tptp.v9_metric_1 A) (tptp.l1_metric_1 A)) (exists ((B $$unsorted)) (and (tptp.m1_topmetr B A) (not (tptp.v3_struct_0 B)) (tptp.v1_metric_1 B) (tptp.v6_metric_1 B) (tptp.v7_metric_1 B) (tptp.v8_metric_1 B) (tptp.v9_metric_1 B))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k1_topmetr A B))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v6_metric_1 A) (tptp.v7_metric_1 A) (tptp.v8_metric_1 A) (tptp.v9_metric_1 A) (tptp.l1_metric_1 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_metric_1 _let_1) (tptp.v6_metric_1 _let_1) (tptp.v7_metric_1 _let_1) (tptp.v8_metric_1 _let_1) (tptp.v9_metric_1 _let_1))))) (and (not (tptp.v3_struct_0 tptp.k3_topmetr)) _let_30 _let_29) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k1_funct_1 B C))) (=> (and (tptp.v1_funct_1 B) (tptp.m1_relset_1 B A (tptp.u1_struct_0 tptp.k3_topmetr))) (and (tptp.v1_xcmplx_0 _let_1) (tptp.v1_xreal_0 _let_1))))) (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 _let_1))) (= (tptp.r1_pre_topc A B) (tptp.r1_tarski _let_1 (tptp.k5_setfam_1 _let_1 B)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.m1_pre_topc B A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 B)) (tptp.m1_subset_1 C (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.m1_pre_topc B A)) (=> (tptp.v3_compts_1 A) (tptp.v3_compts_1 B)))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_pre_topc B A) (forall ((C $$unsorted)) (=> (tptp.m1_pre_topc C A) (=> (tptp.r1_tarski (tptp.u1_struct_0 B) (tptp.u1_struct_0 C)) (tptp.m1_pre_topc B C)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.k3_pre_topc A (tptp.k4_subset_1 _let_1 B C)))) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 _let_1)) (and (tptp.m1_pre_topc (tptp.k3_pre_topc A B) _let_2) (tptp.m1_pre_topc (tptp.k3_pre_topc A C) _let_2)))))))))) (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)) (forall ((C $$unsorted)) (=> (and (not (tptp.v1_xboole_0 C)) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (=> (tptp.r2_hidden B C) (forall ((D $$unsorted)) (=> (tptp.m1_connsp_2 D A B) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.u1_struct_0 (tptp.k3_pre_topc A C))) (forall ((F $$unsorted)) (let ((_let_1 (tptp.k3_pre_topc A C))) (=> (tptp.m1_subset_1 F (tptp.k1_zfmisc_1 (tptp.u1_struct_0 _let_1))) (=> (and (= F (tptp.k5_subset_1 (tptp.u1_struct_0 A) D C)) (= E B)) (tptp.m1_connsp_2 F _let_1 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 $$unsorted)) (=> (and (tptp.v2_pre_topc C) (tptp.l1_pre_topc C)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 C))) (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)) (=> (and (tptp.v5_pre_topc D A C) (tptp.m1_pre_topc C B)) (forall ((E $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 E) (tptp.v1_funct_2 E _let_2 _let_1) (tptp.m2_relset_1 E _let_2 _let_1)) (=> (= E D) (tptp.v5_pre_topc E A B))))))))))))))))) (forall ((A $$unsorted)) (=> (and (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)) (forall ((D $$unsorted)) (=> (tptp.m1_pre_topc D B) (=> (tptp.v5_pre_topc C A B) (forall ((E $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 D))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 E) (tptp.v1_funct_2 E _let_2 _let_1) (tptp.m2_relset_1 E _let_2 _let_1)) (=> (= E C) (tptp.v5_pre_topc E A 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 $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.m2_relset_1 C _let_2 _let_1)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B))) (=> (tptp.v5_pre_topc C A B) (forall ((E $$unsorted)) (let ((_let_1 (tptp.k3_pre_topc B D))) (let ((_let_2 (tptp.u1_struct_0 _let_1))) (let ((_let_3 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 E) (tptp.v1_funct_2 E _let_3 _let_2) (tptp.m2_relset_1 E _let_3 _let_2)) (=> (= E C) (tptp.v5_pre_topc E A _let_1)))))))))))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.l1_pre_topc B)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D _let_2 _let_1) (tptp.m2_relset_1 D _let_2 _let_1)) (forall ((E $$unsorted)) (let ((_let_1 (tptp.k3_pre_topc A C))) (let ((_let_2 (tptp.u1_struct_0 B))) (let ((_let_3 (tptp.u1_struct_0 _let_1))) (=> (and (tptp.v1_funct_1 E) (tptp.v1_funct_2 E _let_3 _let_2) (tptp.m2_relset_1 E _let_3 _let_2)) (=> (and (tptp.v5_pre_topc D A B) (= E (tptp.k2_partfun1 (tptp.u1_struct_0 A) _let_2 D C))) (tptp.v5_pre_topc E _let_1 B))))))))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v6_metric_1 A) (tptp.v7_metric_1 A) (tptp.v8_metric_1 A) (tptp.v9_metric_1 A) (tptp.l1_metric_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v6_metric_1 B) (tptp.v7_metric_1 B) (tptp.v8_metric_1 B) (tptp.v9_metric_1 B) (tptp.l1_metric_1 B)) (= (tptp.m1_topmetr B A) (and (tptp.r1_tarski (tptp.u1_struct_0 B) (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 B)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (=> (tptp.m1_subset_1 D _let_1) (= (tptp.k1_metric_1 _let_1 _let_1 (tptp.u1_metric_1 B) C D) (tptp.k1_binop_1 (tptp.u1_metric_1 A) C D))))))))))))) true (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v6_metric_1 A) (tptp.v7_metric_1 A) (tptp.v8_metric_1 A) (tptp.v9_metric_1 A) (tptp.l1_metric_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.m1_topmetr B A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 B)) (tptp.m1_subset_1 C (tptp.u1_struct_0 A)))))))) (forall ((A $$unsorted)) (=> (tptp.v1_xreal_0 A) (forall ((B $$unsorted)) (=> (and (tptp.v6_metric_1 B) (tptp.v7_metric_1 B) (tptp.v8_metric_1 B) (tptp.v9_metric_1 B) (tptp.l1_metric_1 B)) (forall ((C $$unsorted)) (=> (tptp.m1_topmetr C B) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 B)) (forall ((E $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 C))) (=> (tptp.m1_subset_1 E _let_1) (=> (= D E) (= (tptp.k9_metric_1 C E A) (tptp.k3_xboole_0 (tptp.k9_metric_1 B D A) _let_1)))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v6_metric_1 A) (tptp.v7_metric_1 A) (tptp.v8_metric_1 A) (tptp.v9_metric_1 A) (tptp.l1_metric_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (forall ((C $$unsorted)) (=> (and (tptp.v1_metric_1 C) (tptp.m1_topmetr C A)) (= (= C (tptp.k1_topmetr A B)) (= (tptp.u1_struct_0 C) B)))))))) (forall ((A $$unsorted)) (=> (tptp.v1_xreal_0 A) (forall ((B $$unsorted)) (=> (tptp.v1_xreal_0 B) (=> (tptp.r1_xreal_0 A B) (forall ((C $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.v1_metric_1 C) (tptp.m1_topmetr C tptp.k8_metric_1)) (= (= C (tptp.k2_topmetr A B)) (forall ((D $$unsorted)) (=> (and (not (tptp.v1_xboole_0 D)) (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 tptp.k8_metric_1)))) (=> (= D (tptp.k1_rcomp_1 A B)) (= C (tptp.k1_topmetr tptp.k8_metric_1 D))))))))))))) (forall ((A $$unsorted)) (=> (tptp.v1_xreal_0 A) (forall ((B $$unsorted)) (=> (tptp.v1_xreal_0 B) (=> (tptp.r1_xreal_0 A B) (= (tptp.u1_struct_0 (tptp.k2_topmetr A B)) (tptp.k1_rcomp_1 A B))))))) (forall ((A $$unsorted)) (=> (tptp.l1_metric_1 A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (= (tptp.v1_topmetr B A) (forall ((C $$unsorted)) (not (and (tptp.r2_hidden C B) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E tptp.k1_numbers) (not (= C (tptp.k9_metric_1 A D E))))))))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_metric_1 A) (forall ((B $$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_topmetr A B) (tptp.r1_tarski _let_1 (tptp.k5_setfam_1 _let_1 B)))))))) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A (tptp.u1_struct_0 tptp.k8_metric_1)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 tptp.k8_metric_1)) (forall ((C $$unsorted)) (=> (tptp.v1_xreal_0 C) (forall ((D $$unsorted)) (=> (tptp.v1_xreal_0 D) (=> (and (= C A) (= D B)) (= (tptp.k4_metric_1 tptp.k8_metric_1 A B) (tptp.k18_complex1 (tptp.k6_xcmplx_0 C D)))))))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k5_pcomps_1 A))) (=> (tptp.l1_metric_1 A) (and (= (tptp.u1_struct_0 A) (tptp.u1_struct_0 _let_1)) (= (tptp.u1_pre_topc _let_1) (tptp.k4_pcomps_1 A)))))) true true (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v6_metric_1 A) (tptp.v7_metric_1 A) (tptp.v8_metric_1 A) (tptp.v9_metric_1 A) (tptp.l1_metric_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.m1_topmetr B A)) (tptp.m1_pre_topc (tptp.k5_pcomps_1 B) (tptp.k5_pcomps_1 A)))))) (forall ((A $$unsorted)) (=> (tptp.m2_subset_1 A tptp.k1_numbers tptp.k5_numbers) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 (tptp.k15_euclid A)))) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k14_euclid A))) (=> (and (not (tptp.v1_xboole_0 C)) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 _let_1)))) (=> (= B C) (= (tptp.k3_pre_topc (tptp.k15_euclid A) B) (tptp.k5_pcomps_1 (tptp.k1_topmetr _let_1 C))))))))))) (forall ((A $$unsorted)) (=> (tptp.v1_xreal_0 A) (forall ((B $$unsorted)) (=> (and (tptp.v9_metric_1 B) (tptp.l1_metric_1 B)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 B)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k5_pcomps_1 B))) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 _let_1))) (=> (= D (tptp.k9_metric_1 B C A)) (tptp.v3_pre_topc D _let_1))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v6_metric_1 A) (tptp.v7_metric_1 A) (tptp.v8_metric_1 A) (tptp.v9_metric_1 A) (tptp.l1_metric_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k5_pcomps_1 A))) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 _let_1))) (= (tptp.v3_pre_topc B _let_1) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (not (and (tptp.r2_hidden C B) (forall ((D $$unsorted)) (=> (tptp.v1_xreal_0 D) (not (and (not (tptp.r1_xreal_0 D tptp.np__0)) (tptp.r1_tarski (tptp.k9_metric_1 A C D) B))))))))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_metric_1 A) (= (tptp.v2_topmetr A) (tptp.v2_compts_1 (tptp.k5_pcomps_1 A))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v6_metric_1 A) (tptp.v7_metric_1 A) (tptp.v8_metric_1 A) (tptp.v9_metric_1 A) (tptp.l1_metric_1 A)) (= (tptp.v2_topmetr A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (not (and (tptp.v1_topmetr B A) (tptp.r1_topmetr A B) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (not (and (tptp.r1_tarski C B) (tptp.r1_topmetr A C) (tptp.v1_finset_1 C)))))))))))) (= tptp.k3_topmetr (tptp.k5_pcomps_1 tptp.k8_metric_1)) (= (tptp.u1_struct_0 tptp.k3_topmetr) tptp.k1_numbers) (forall ((A $$unsorted)) (=> (tptp.v1_xreal_0 A) (forall ((B $$unsorted)) (=> (tptp.v1_xreal_0 B) (= (tptp.k4_topmetr A B) (tptp.k5_pcomps_1 (tptp.k2_topmetr A B))))))) (forall ((A $$unsorted)) (=> (tptp.v1_xreal_0 A) (forall ((B $$unsorted)) (=> (tptp.v1_xreal_0 B) (=> (tptp.r1_xreal_0 A B) (= (tptp.u1_struct_0 (tptp.k4_topmetr A B)) (tptp.k1_rcomp_1 A B))))))) (forall ((A $$unsorted)) (=> (tptp.v1_xreal_0 A) (forall ((B $$unsorted)) (=> (tptp.v1_xreal_0 B) (=> (tptp.r1_xreal_0 A B) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 tptp.k3_topmetr))) (=> (= C (tptp.k1_rcomp_1 A B)) (= (tptp.k4_topmetr A B) (tptp.k3_pre_topc tptp.k3_topmetr C)))))))))) (= (tptp.k4_topmetr tptp.np__0 tptp.np__1) tptp.k22_borsuk_1) (forall ((A $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 tptp.k3_topmetr))) (=> (and (tptp.v1_funct_1 A) (tptp.v1_funct_2 A _let_1 _let_1) (tptp.m2_relset_1 A _let_1 _let_1)) (=> (exists ((B $$unsorted)) (and (tptp.m1_subset_1 B tptp.k1_numbers) (exists ((C $$unsorted)) (and (tptp.m1_subset_1 C tptp.k1_numbers) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D tptp.k1_numbers) (= (tptp.k1_funct_1 A D) (tptp.k3_real_1 (tptp.k4_real_1 B D) C)))))))) (tptp.v5_pre_topc A tptp.k3_topmetr tptp.k3_topmetr))))) (forall ((A $$unsorted)) (=> (and (tptp.v6_metric_1 A) (tptp.v7_metric_1 A) (tptp.v8_metric_1 A) (tptp.v9_metric_1 A) (tptp.l1_metric_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_topmetr B A) (and (tptp.v6_metric_1 B) (tptp.v7_metric_1 B) (tptp.v8_metric_1 B) (tptp.v9_metric_1 B) (tptp.l1_metric_1 B)))))) (forall ((A $$unsorted)) (=> (and (tptp.v6_metric_1 A) (tptp.v7_metric_1 A) (tptp.v8_metric_1 A) (tptp.v9_metric_1 A) (tptp.l1_metric_1 A)) (exists ((B $$unsorted)) (tptp.m1_topmetr B A)))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k1_topmetr A B))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v6_metric_1 A) (tptp.v7_metric_1 A) (tptp.v8_metric_1 A) (tptp.v9_metric_1 A) (tptp.l1_metric_1 A) (not (tptp.v1_xboole_0 B)) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (and (tptp.v1_metric_1 _let_1) (tptp.m1_topmetr _let_1 A))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k2_topmetr A B))) (=> (and (tptp.v1_xreal_0 A) (tptp.v1_xreal_0 B)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v1_metric_1 _let_1) (tptp.m1_topmetr _let_1 tptp.k8_metric_1))))) (and _let_30 _let_29 (tptp.l1_pre_topc tptp.k3_topmetr)) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k4_topmetr A B))) (=> (and (tptp.v1_xreal_0 A) (tptp.v1_xreal_0 B)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v1_pre_topc _let_1) (tptp.m1_pre_topc _let_1 tptp.k3_topmetr))))) (and (tptp.v1_pre_topc tptp.k5_topmetr) (tptp.m1_pre_topc tptp.k5_topmetr tptp.k3_topmetr)) (= tptp.k5_topmetr tptp.k22_borsuk_1) (exists ((A $$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.v1_gr_cy_1 A))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.v4_group_1 A))) (let ((_let_2 (tptp.v3_group_1 A))) (let ((_let_3 (not (tptp.v3_struct_0 A)))) (=> (tptp.l1_group_1 A) (=> (and _let_3 _let_2 _let_1 (tptp.v1_gr_cy_1 A)) (and _let_3 (tptp.v2_group_1 A) _let_2 _let_1 (tptp.v7_group_1 A)))))))) true true true true true true true true true (forall ((A $$unsorted)) (=> (tptp.v4_ordinal2 A) (forall ((B $$unsorted)) (=> (tptp.v4_ordinal2 B) (=> (not (tptp.r1_xreal_0 A tptp.np__0)) (= (tptp.r2_hidden B (tptp.k1_gr_cy_1 A)) (not (tptp.r1_xreal_0 A B)))))))) true (forall ((A $$unsorted)) (=> (tptp.v4_ordinal2 A) (=> (not (tptp.r1_xreal_0 A tptp.np__0)) (tptp.r2_hidden tptp.np__0 (tptp.k1_gr_cy_1 A))))) (= (tptp.k1_gr_cy_1 tptp.np__1) (tptp.k18_group_2 tptp.k5_numbers tptp.np__0)) (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 $$unsorted)) (=> (tptp.m1_subset_1 C tptp.k4_numbers) (= (tptp.k2_binop_1 tptp.k4_numbers tptp.k4_numbers tptp.k4_numbers A B C) (tptp.k1_binop_1 tptp.k33_binop_2 B C)))))))))) (forall ((A $$unsorted)) (=> (tptp.v1_int_1 A) (forall ((B $$unsorted)) (=> (tptp.v1_int_1 B) (= (tptp.k1_binop_1 tptp.k44_binop_2 A B) (tptp.k2_xcmplx_0 A B)))))) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.k4_numbers) (=> (= A tptp.np__0) (tptp.r3_binop_1 tptp.k4_numbers A tptp.k44_binop_2)))) (forall ((A $$unsorted)) (=> (tptp.m2_finseq_1 A tptp.k4_numbers) (= (tptp.k2_gr_cy_1 A) (tptp.k2_finsop_1 tptp.k4_numbers A tptp.k44_binop_2)))) true true true true (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.k4_numbers) (forall ((B $$unsorted)) (=> (tptp.m2_finseq_1 B tptp.k4_numbers) (= (tptp.k2_gr_cy_1 (tptp.k8_finseq_1 tptp.k4_numbers B (tptp.k12_finseq_1 tptp.k4_numbers A))) (tptp.k2_xcmplx_0 (tptp.k2_gr_cy_1 B) (tptp.k2_group_4 A))))))) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.k4_numbers) (= (tptp.k2_gr_cy_1 (tptp.k12_finseq_1 tptp.k4_numbers A)) A))) (= (tptp.k2_gr_cy_1 (tptp.k6_finseq_1 tptp.k4_numbers)) tptp.np__0) true (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m2_finseq_1 C tptp.k4_numbers) (= (tptp.k3_group_4 A (tptp.k4_group_4 A C (tptp.k1_finsop_1 (tptp.u1_struct_0 A) (tptp.k3_finseq_1 C) B))) (tptp.k6_group_1 A (tptp.k2_gr_cy_1 C) B)))))))) (forall ((A $$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 $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (tptp.r1_rlvect_1 (tptp.k5_group_4 A (tptp.k1_struct_0 A C)) B) (exists ((D $$unsorted)) (and (tptp.v1_int_1 D) (= B (tptp.k6_group_1 A D C))))))))))) (forall ((A $$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 $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (not (and (tptp.v6_group_1 A) (tptp.v5_group_1 B A))))))) (forall ((A $$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 $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (=> (tptp.v6_group_1 A) (= (tptp.k7_group_1 A B) (tptp.k9_group_1 (tptp.k5_group_4 A (tptp.k1_struct_0 A B))))))))) (forall ((A $$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 $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (=> (tptp.v6_group_1 A) (tptp.r1_nat_1 (tptp.k7_group_1 A B) (tptp.k9_group_1 A))))))) (forall ((A $$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 $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (=> (tptp.v6_group_1 A) (= (tptp.k6_group_1 A (tptp.k9_group_1 A) B) (tptp.k2_group_1 A))))))) (forall ((A $$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)) (let ((_let_1 (tptp.k9_group_1 B))) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 B)) (=> (tptp.v6_group_1 B) (= (tptp.k3_group_1 B (tptp.k6_group_1 B A C)) (tptp.k6_group_1 B (tptp.k10_binop_2 _let_1 (tptp.k4_nat_1 A _let_1)) C)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v1_group_1 A) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (not (and (not (tptp.r1_xreal_0 (tptp.k9_group_1 A) tptp.np__1)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (= 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.v1_group_1 B) (tptp.v3_group_1 B) (tptp.v4_group_1 B) (tptp.l1_group_1 B)) (=> (and (tptp.v6_group_1 B) (= (tptp.k9_group_1 B) A) (tptp.v1_int_2 A)) (forall ((C $$unsorted)) (=> (and (tptp.v1_group_1 C) (tptp.m1_group_2 C B)) (or (tptp.r1_group_2 B C (tptp.k5_group_2 B)) (= C B))))))))) (and (tptp.v4_group_1 _let_28) (tptp.v3_group_1 _let_28)) (= tptp.k3_gr_cy_1 _let_28) (forall ((A $$unsorted)) (=> (tptp.v4_ordinal2 A) (=> (not (tptp.r1_xreal_0 A tptp.np__0)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k1_gr_cy_1 A))) (let ((_let_2 (tptp.k2_zfmisc_1 _let_1 _let_1))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_2 _let_1) (tptp.m2_relset_1 B _let_2 _let_1)) (= (= B (tptp.k4_gr_cy_1 A)) (forall ((C $$unsorted)) (=> (tptp.m2_subset_1 C tptp.k5_numbers (tptp.k1_gr_cy_1 A)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k1_gr_cy_1 A))) (=> (tptp.m2_subset_1 D tptp.k5_numbers _let_1) (= (tptp.k2_binop_1 _let_1 _let_1 _let_1 B C D) (tptp.k4_nat_1 (tptp.k1_nat_1 C D) A))))))))))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.g1_group_1 (tptp.k1_gr_cy_1 A) (tptp.k4_gr_cy_1 A)))) (=> (tptp.v4_ordinal2 A) (=> (not (tptp.r1_xreal_0 A tptp.np__0)) (and (tptp.v4_group_1 _let_1) (tptp.v3_group_1 _let_1)))))) (forall ((A $$unsorted)) (=> (tptp.v4_ordinal2 A) (=> (not (tptp.r1_xreal_0 A tptp.np__0)) (= (tptp.k5_gr_cy_1 A) (tptp.g1_group_1 (tptp.k1_gr_cy_1 A) (tptp.k4_gr_cy_1 A)))))) (= (tptp.k2_group_1 tptp.k3_gr_cy_1) tptp.np__0) (forall ((A $$unsorted)) (=> (tptp.v4_ordinal2 A) (=> (not (tptp.r1_xreal_0 A tptp.np__0)) (= (tptp.k2_group_1 (tptp.k5_gr_cy_1 A)) tptp.np__0)))) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A (tptp.u1_struct_0 tptp.k3_gr_cy_1)) (= (tptp.k6_gr_cy_1 A) A))) (forall ((A $$unsorted)) (=> (tptp.v1_int_1 A) (= (tptp.k7_gr_cy_1 A) A))) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A (tptp.u1_struct_0 tptp.k3_gr_cy_1)) (= (tptp.k3_group_1 tptp.k3_gr_cy_1 A) (tptp.k4_xcmplx_0 (tptp.k6_gr_cy_1 A))))) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A (tptp.u1_struct_0 tptp.k3_gr_cy_1)) (=> (= A tptp.np__1) (forall ((B $$unsorted)) (=> (tptp.m2_subset_1 B tptp.k1_numbers tptp.k5_numbers) (= (tptp.k6_group_1 tptp.k3_gr_cy_1 B A) B)))))) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A (tptp.u1_struct_0 tptp.k3_gr_cy_1)) (forall ((B $$unsorted)) (=> (tptp.v1_int_1 B) (=> (= A tptp.np__1) (= B (tptp.k6_group_1 tptp.k3_gr_cy_1 B A))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (= (tptp.v1_gr_cy_1 A) (exists ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (and (tptp.m1_subset_1 B _let_1) (= (tptp.g1_group_1 _let_1 (tptp.u1_group_1 A)) (tptp.k5_group_4 A (tptp.k1_struct_0 A B))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (tptp.v1_gr_cy_1 (tptp.k5_group_2 A)))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.l1_group_1 A))) (let ((_let_2 (tptp.v4_group_1 A))) (let ((_let_3 (tptp.v3_group_1 A))) (let ((_let_4 (not (tptp.v3_struct_0 A)))) (=> (and _let_4 _let_3 _let_2 _let_1) (= (and _let_4 _let_3 _let_2 (tptp.v1_gr_cy_1 A) _let_1) (exists ((B $$unsorted)) (and (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (exists ((D $$unsorted)) (and (tptp.v1_int_1 D) (= C (tptp.k6_group_1 A D B))))))))))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.l1_group_1 A))) (let ((_let_2 (tptp.v4_group_1 A))) (let ((_let_3 (tptp.v3_group_1 A))) (let ((_let_4 (not (tptp.v3_struct_0 A)))) (=> (and _let_4 _let_3 _let_2 _let_1) (=> (tptp.v6_group_1 A) (= (and _let_4 _let_3 _let_2 (tptp.v1_gr_cy_1 A) _let_1) (exists ((B $$unsorted)) (and (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (exists ((D $$unsorted)) (and (tptp.m2_subset_1 D tptp.k1_numbers tptp.k5_numbers) (= C (tptp.k6_group_1 A D B)))))))))))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.l1_group_1 A))) (let ((_let_2 (tptp.v4_group_1 A))) (let ((_let_3 (tptp.v3_group_1 A))) (let ((_let_4 (not (tptp.v3_struct_0 A)))) (=> (and _let_4 (tptp.v1_group_1 A) _let_3 _let_2 _let_1) (=> (tptp.v6_group_1 A) (= (and _let_4 _let_3 _let_2 (tptp.v1_gr_cy_1 A) _let_1) (exists ((B $$unsorted)) (and (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (= (tptp.k7_group_1 A B) (tptp.k9_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)) (=> (and (tptp.v1_group_1 B) (tptp.m1_group_2 B A)) (=> (and (tptp.v6_group_1 A) (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.v1_gr_cy_1 A) (tptp.l1_group_1 A)) (and (not (tptp.v3_struct_0 B)) (tptp.v3_group_1 B) (tptp.v4_group_1 B) (tptp.v1_gr_cy_1 B) (tptp.l1_group_1 B))))))) (forall ((A $$unsorted)) (=> (tptp.m2_subset_1 A tptp.k1_numbers tptp.k5_numbers) (forall ((B $$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.v6_group_1 B) (= (tptp.k9_group_1 B) A) (tptp.v1_int_2 A)) (and _let_4 _let_3 _let_2 (tptp.v1_gr_cy_1 B) _let_1)))))))))) (forall ((A $$unsorted)) (=> (tptp.m2_subset_1 A tptp.k1_numbers tptp.k5_numbers) (not (and (not (tptp.r1_xreal_0 A tptp.np__0)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 (tptp.k5_gr_cy_1 A))) (exists ((C $$unsorted)) (and (tptp.m1_subset_1 C (tptp.u1_struct_0 (tptp.k5_gr_cy_1 A))) (forall ((D $$unsorted)) (=> (tptp.v1_int_1 D) (not (= C (tptp.k6_group_1 (tptp.k5_gr_cy_1 A) D B))))))))))))) true (tptp.v1_gr_cy_1 tptp.k3_gr_cy_1) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k5_gr_cy_1 A))) (=> (tptp.m2_subset_1 A tptp.k1_numbers tptp.k5_numbers) (=> (not (tptp.r1_xreal_0 A tptp.np__0)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v3_group_1 _let_1) (tptp.v4_group_1 _let_1) (tptp.v1_gr_cy_1 _let_1) (tptp.l1_group_1 _let_1)))))) (and _let_27 _let_26 _let_25 (tptp.v7_group_1 tptp.k3_gr_cy_1) _let_24) (forall ((A $$unsorted)) (=> (tptp.m2_subset_1 A tptp.k1_numbers tptp.k5_numbers) (forall ((B $$unsorted)) (=> (tptp.m2_subset_1 B tptp.k1_numbers tptp.k5_numbers) (=> (tptp.r1_xreal_0 A B) (or (tptp.r1_xreal_0 A tptp.np__0) (tptp.r1_tarski (tptp.k1_gr_cy_1 A) (tptp.k1_gr_cy_1 B)))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k1_gr_cy_1 A))) (=> (tptp.v4_ordinal2 A) (and (not (tptp.v1_xboole_0 _let_1)) (tptp.m1_subset_1 _let_1 (tptp.k1_zfmisc_1 tptp.k5_numbers)))))) (forall ((A $$unsorted)) (=> (tptp.m1_finseq_1 A tptp.k4_numbers) (tptp.v1_int_1 (tptp.k2_gr_cy_1 A)))) (and _let_27 (tptp.v1_group_1 tptp.k3_gr_cy_1) _let_26 _let_25 _let_24) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k1_gr_cy_1 A))) (let ((_let_2 (tptp.k2_zfmisc_1 _let_1 _let_1))) (let ((_let_3 (tptp.k4_gr_cy_1 A))) (=> (tptp.v4_ordinal2 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 $$unsorted)) (let ((_let_1 (tptp.k5_gr_cy_1 A))) (=> (tptp.v4_ordinal2 A) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v1_group_1 _let_1) (tptp.v3_group_1 _let_1) (tptp.v4_group_1 _let_1) (tptp.l1_group_1 _let_1))))) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A (tptp.u1_struct_0 tptp.k3_gr_cy_1)) (tptp.v1_int_1 (tptp.k6_gr_cy_1 A)))) (forall ((A $$unsorted)) (=> (tptp.v1_int_1 A) (tptp.m1_subset_1 (tptp.k7_gr_cy_1 A) (tptp.u1_struct_0 tptp.k3_gr_cy_1)))) (forall ((A $$unsorted)) (=> (tptp.v4_ordinal2 A) (=> (not (tptp.r1_xreal_0 A tptp.np__0)) (= (tptp.k1_gr_cy_1 A) (tptp.a_1_0_gr_cy_1 A))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.v4_ordinal2 B) (= (tptp.r2_hidden A (tptp.a_1_0_gr_cy_1 B)) (exists ((C $$unsorted)) (and (tptp.m2_subset_1 C tptp.k1_numbers tptp.k5_numbers) (= A C) (not (tptp.r1_xreal_0 B C))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (=> (and (tptp.v2_funct_1 A) (tptp.v2_funct_1 B)) (tptp.v2_funct_1 (tptp.k15_funct_3 A B))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u2_cat_1 A))) (=> (and (tptp.v2_cat_1 B) (tptp.l1_cat_1 B)) (and (= (tptp.k2_relat_1 (tptp.k16_cat_2 A B)) _let_1) (= (tptp.k2_relat_1 (tptp.k17_cat_2 B A)) _let_1))))))) (forall ((A $$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 B A) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u2_cat_1 B))) (=> (tptp.m1_subset_1 D _let_1) (=> (tptp.v5_cat_1 D B) (tptp.v5_cat_1 (tptp.k8_funct_2 _let_1 (tptp.u2_cat_1 A) C D) A))))))))))) (forall ((A $$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 $$unsorted)) (let ((_let_1 (tptp.k15_cat_1 A))) (let ((_let_2 (tptp.u2_cat_1 A))) (let ((_let_3 (tptp.u2_cat_1 B))) (=> (tptp.m2_cat_1 D B A) (and (tptp.r4_nattra_1 _let_2 _let_3 _let_2 _let_3 (tptp.k14_cat_1 A A B _let_1 C) C) (tptp.r4_nattra_1 _let_3 _let_2 _let_3 _let_2 (tptp.k14_cat_1 B A A D _let_1) D))))))))))))) true true (forall ((A $$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)) (=> (tptp.m2_cat_1 C A B) (forall ((D $$unsorted)) (=> (tptp.m2_cat_1 D A B) (=> (tptp.r1_nattra_1 A B C D) (forall ((E $$unsorted)) (=> (tptp.m1_nattra_1 E A B C D) (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F (tptp.u1_cat_1 A)) (tptp.r2_hidden (tptp.k5_nattra_1 A B C D E F) (tptp.k6_cat_1 B (tptp.k13_cat_1 A B C F) (tptp.k13_cat_1 A B D F)))))))))))))))) (forall ((A $$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 A B) (forall ((F $$unsorted)) (=> (tptp.m2_cat_1 F B C) (forall ((G $$unsorted)) (=> (tptp.m2_cat_1 G B C) (=> (and (tptp.r1_nattra_1 A B D E) (tptp.r1_nattra_1 B C F G)) (tptp.r1_nattra_1 A C (tptp.k14_cat_1 A B C D F) (tptp.k14_cat_1 A B C E 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 $$unsorted)) (=> (tptp.m2_cat_1 C A B) (forall ((D $$unsorted)) (=> (tptp.m2_cat_1 D A B) (=> (tptp.r1_nattra_1 A B C D) (forall ((E $$unsorted)) (=> (tptp.m1_nattra_1 E A B C D) (=> (tptp.v1_nattra_1 E A B C D) (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F (tptp.u1_cat_1 A)) (tptp.r1_cat_1 B (tptp.k13_cat_1 A B C F) (tptp.k13_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 $$unsorted)) (let ((_let_1 (tptp.u2_cat_1 B))) (let ((_let_2 (tptp.u2_cat_1 A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.m2_relset_1 C _let_2 _let_1)) (= (tptp.m2_cat_1 C A B) (and (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_cat_1 A)) (exists ((E $$unsorted)) (and (tptp.m1_subset_1 E (tptp.u1_cat_1 B)) (= (tptp.k8_funct_2 (tptp.u2_cat_1 A) (tptp.u2_cat_1 B) C (tptp.k10_cat_1 A D)) (tptp.k10_cat_1 B E)))))) (forall ((D $$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)))))))))))))))))))) (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 $$unsorted)) (=> (tptp.m2_cat_1 C B A) (=> (tptp.v8_cat_1 C B A) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u2_cat_1 A)) (exists ((E $$unsorted)) (let ((_let_1 (tptp.u2_cat_1 B))) (and (tptp.m1_subset_1 E _let_1) (= (tptp.k8_funct_2 _let_1 (tptp.u2_cat_1 A) C E) D))))))))))))) (forall ((A $$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.m2_cat_1 C B A) (=> (tptp.v8_cat_1 C B A) (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.k13_cat_1 B A C 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 $$unsorted)) (=> (tptp.m2_cat_1 C A B) (=> (tptp.v2_funct_1 C) (tptp.v2_funct_1 (tptp.k12_cat_1 A B C))))))))) (forall ((A $$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)) (=> (tptp.m2_cat_1 C A B) (=> (tptp.v8_cat_1 C A B) (= (tptp.k3_isocat_1 A B C) (tptp.k2_funct_1 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 $$unsorted)) (=> (tptp.m2_cat_1 C A B) (= (tptp.v8_cat_1 C A B) (and (tptp.v2_funct_1 C) (= (tptp.k2_relat_1 C) (tptp.u2_cat_1 B)))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v2_cat_1 B) (tptp.l1_cat_1 B)) (forall ((C $$unsorted)) (=> (tptp.m2_cat_1 C A B) (=> (tptp.v8_cat_1 C A B) (tptp.v8_cat_1 (tptp.k3_isocat_1 A B C) 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)) (forall ((C $$unsorted)) (=> (tptp.m2_cat_1 C A B) (=> (tptp.v8_cat_1 C A B) (= (tptp.k2_funct_1 (tptp.k12_cat_1 A B C)) (tptp.k12_cat_1 B A (tptp.k3_isocat_1 A B C)))))))))) (forall ((A $$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)) (let ((_let_1 (tptp.u2_cat_1 B))) (let ((_let_2 (tptp.u2_cat_1 A))) (=> (tptp.m2_cat_1 C A B) (=> (tptp.v8_cat_1 C A B) (tptp.r4_nattra_1 _let_2 _let_1 _let_2 _let_1 (tptp.k3_isocat_1 B A (tptp.k3_isocat_1 A B C)) 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 $$unsorted)) (let ((_let_1 (tptp.k3_isocat_1 B A C))) (let ((_let_2 (tptp.u2_cat_1 B))) (let ((_let_3 (tptp.u2_cat_1 A))) (=> (tptp.m2_cat_1 C B A) (=> (tptp.v8_cat_1 C B A) (and (tptp.r4_nattra_1 _let_3 _let_3 _let_3 _let_3 (tptp.k2_isocat_1 A B A _let_1 C) (tptp.k1_isocat_1 A)) (tptp.r4_nattra_1 _let_2 _let_2 _let_2 _let_2 (tptp.k2_isocat_1 B A B C _let_1) (tptp.k1_isocat_1 B))))))))))))) (forall ((A $$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)) (=> (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.v8_cat_1 D A B) (tptp.v8_cat_1 E B C)) (tptp.v8_cat_1 (tptp.k2_isocat_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)) (= (tptp.r1_isocat_1 A B) (exists ((C $$unsorted)) (and (tptp.m2_cat_1 C A B) (tptp.v8_cat_1 C A B)))))))) true true (forall ((A $$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)) (=> (and (tptp.v2_cat_1 C) (tptp.l1_cat_1 C)) (=> (and (tptp.r1_isocat_1 A B) (tptp.r1_isocat_1 B C)) (tptp.r1_isocat_1 A C)))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A)) (forall ((B $$unsorted) (C $$unsorted)) (tptp.r1_isocat_1 (tptp.k11_cat_2 (tptp.k8_cat_1 B C) A) A)))) (forall ((A $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v2_cat_1 B) (tptp.l1_cat_1 B)) (tptp.r1_isocat_1 (tptp.k11_cat_2 A B) (tptp.k11_cat_2 B A)))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v2_cat_1 B) (tptp.l1_cat_1 B)) (forall ((C $$unsorted)) (=> (and (tptp.v2_cat_1 C) (tptp.l1_cat_1 C)) (tptp.r1_isocat_1 (tptp.k11_cat_2 (tptp.k11_cat_2 A B) C) (tptp.k11_cat_2 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)) (=> (and (tptp.v2_cat_1 D) (tptp.l1_cat_1 D)) (=> (and (tptp.r1_isocat_1 A B) (tptp.r1_isocat_1 C D)) (tptp.r1_isocat_1 (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)) (=> (tptp.m2_cat_1 D A B) (forall ((E $$unsorted)) (=> (tptp.m2_cat_1 E A B) (=> (tptp.r1_nattra_1 A B D E) (forall ((F $$unsorted)) (=> (tptp.m1_nattra_1 F A B D E) (forall ((G $$unsorted)) (=> (tptp.m2_cat_1 G B C) (= (tptp.k4_isocat_1 A B C D E F G) (tptp.k7_funct_2 (tptp.u1_cat_1 A) (tptp.u2_cat_1 B) (tptp.u2_cat_1 C) F G))))))))))))))))) (forall ((A $$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 $$unsorted)) (=> (tptp.m2_cat_1 D B C) (forall ((E $$unsorted)) (=> (tptp.m2_cat_1 E B C) (=> (tptp.r1_nattra_1 B C D E) (forall ((F $$unsorted)) (=> (tptp.m2_cat_1 F A B) (forall ((G $$unsorted)) (=> (tptp.m1_nattra_1 G B C D E) (= (tptp.k5_isocat_1 A B C D E F G) (tptp.k7_funct_2 (tptp.u1_cat_1 A) (tptp.u1_cat_1 B) (tptp.u2_cat_1 C) (tptp.k12_cat_1 A B F) 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 A B) (forall ((E $$unsorted)) (=> (tptp.m2_cat_1 E A B) (=> (tptp.r1_nattra_1 A B D E) (forall ((F $$unsorted)) (=> (tptp.m2_cat_1 F C A) (forall ((G $$unsorted)) (=> (tptp.m1_nattra_1 G A B D E) (forall ((H $$unsorted)) (=> (tptp.m1_subset_1 H (tptp.u1_cat_1 C)) (= (tptp.k5_nattra_1 C B (tptp.k2_isocat_1 C A B F D) (tptp.k2_isocat_1 C A B F E) (tptp.k5_isocat_1 C A B D E F G) H) (tptp.k5_nattra_1 A B D E G (tptp.k13_cat_1 C A F H)))))))))))))))))))) (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 $$unsorted)) (=> (tptp.m2_cat_1 E A B) (=> (tptp.r1_nattra_1 A B D E) (forall ((F $$unsorted)) (=> (tptp.m1_nattra_1 F A B D E) (forall ((G $$unsorted)) (=> (tptp.m2_cat_1 G B C) (forall ((H $$unsorted)) (=> (tptp.m1_subset_1 H (tptp.u1_cat_1 A)) (= (tptp.k5_nattra_1 A C (tptp.k2_isocat_1 A B C D G) (tptp.k2_isocat_1 A B C E G) (tptp.k4_isocat_1 A B C D E F G) H) (tptp.k3_nattra_1 B C G (tptp.k13_cat_1 A B D H) (tptp.k13_cat_1 A B E H) (tptp.k5_nattra_1 A B D E F H)))))))))))))))))))) (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 $$unsorted)) (=> (tptp.m2_cat_1 E A B) (forall ((F $$unsorted)) (=> (tptp.m2_cat_1 F B C) (forall ((G $$unsorted)) (=> (tptp.m2_cat_1 G B C) (=> (and (tptp.r2_nattra_1 A B D E) (tptp.r2_nattra_1 B C F G)) (tptp.r2_nattra_1 A C (tptp.k2_isocat_1 A B C D F) (tptp.k2_isocat_1 A B C E G))))))))))))))))) (forall ((A $$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 $$unsorted)) (=> (tptp.m2_cat_1 D A B) (forall ((E $$unsorted)) (=> (tptp.m2_cat_1 E A B) (=> (tptp.r2_nattra_1 A B D E) (forall ((F $$unsorted)) (=> (tptp.m2_nattra_1 F A B D E) (forall ((G $$unsorted)) (=> (tptp.m2_cat_1 G B C) (= (tptp.k6_isocat_1 A B C D E F G) (tptp.k4_isocat_1 A B C D E F 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 A B) (forall ((E $$unsorted)) (=> (tptp.m2_cat_1 E A B) (=> (tptp.r2_nattra_1 A B D E) (forall ((F $$unsorted)) (=> (tptp.m2_nattra_1 F A B D E) (forall ((G $$unsorted)) (=> (tptp.m2_cat_1 G B C) (forall ((H $$unsorted)) (=> (tptp.m1_subset_1 H (tptp.u1_cat_1 A)) (= (tptp.k5_nattra_1 A C (tptp.k2_isocat_1 A B C D G) (tptp.k2_isocat_1 A B C E G) (tptp.k6_isocat_1 A B C D E F G) H) (tptp.k3_nattra_1 B C G (tptp.k13_cat_1 A B D H) (tptp.k13_cat_1 A B E H) (tptp.k5_nattra_1 A B D E F H)))))))))))))))))))) (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 B C) (forall ((E $$unsorted)) (=> (tptp.m2_cat_1 E B C) (=> (tptp.r2_nattra_1 B C D E) (forall ((F $$unsorted)) (=> (tptp.m2_cat_1 F A B) (forall ((G $$unsorted)) (=> (tptp.m2_nattra_1 G B C D E) (= (tptp.k7_isocat_1 A B C D E F G) (tptp.k5_isocat_1 A B C D E F G))))))))))))))))) (forall ((A $$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 $$unsorted)) (=> (tptp.m2_cat_1 D A B) (forall ((E $$unsorted)) (=> (tptp.m2_cat_1 E A B) (=> (tptp.r2_nattra_1 A B D E) (forall ((F $$unsorted)) (=> (tptp.m2_cat_1 F C A) (forall ((G $$unsorted)) (=> (tptp.m2_nattra_1 G A B D E) (forall ((H $$unsorted)) (=> (tptp.m1_subset_1 H (tptp.u1_cat_1 C)) (= (tptp.k5_nattra_1 C B (tptp.k2_isocat_1 C A B F D) (tptp.k2_isocat_1 C A B F E) (tptp.k7_isocat_1 C A B D E F G) H) (tptp.k5_nattra_1 A B D E G (tptp.k13_cat_1 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(tptp.k1_isocat_1 B))) (let ((_let_2 (tptp.u2_cat_1 B))) (let ((_let_3 (tptp.u1_cat_1 A))) (=> (tptp.m2_nattra_1 E A B C D) (=> (tptp.r2_nattra_1 A B C D) (tptp.r4_nattra_1 _let_3 _let_2 _let_3 _let_2 (tptp.k8_isocat_1 A B B C D _let_1 _let_1 E (tptp.k7_nattra_1 B B _let_1)) E))))))))))))))) (forall ((A $$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 B A) (forall ((D $$unsorted)) (=> (tptp.m2_cat_1 D B A) (forall ((E $$unsorted)) (let ((_let_1 (tptp.k1_isocat_1 B))) (let ((_let_2 (tptp.u2_cat_1 A))) (let ((_let_3 (tptp.u1_cat_1 B))) (=> (tptp.m2_nattra_1 E B A C D) (=> (tptp.r2_nattra_1 B A C D) (tptp.r4_nattra_1 _let_3 _let_2 _let_3 _let_2 (tptp.k8_isocat_1 B B A _let_1 _let_1 C D (tptp.k7_nattra_1 B B _let_1) E) 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)) (=> (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 A B) (forall ((G $$unsorted)) (=> (tptp.m2_cat_1 G B C) (forall ((H $$unsorted)) (=> (tptp.m2_cat_1 H B C) (forall ((I $$unsorted)) (=> (tptp.m2_cat_1 I C D) (forall ((J $$unsorted)) (=> (tptp.m2_cat_1 J C D) (forall ((K $$unsorted)) (=> (tptp.m2_nattra_1 K A B E F) (forall ((L $$unsorted)) (=> (tptp.m2_nattra_1 L B C G H) (forall ((M $$unsorted)) (let ((_let_1 (tptp.u2_cat_1 D))) (let ((_let_2 (tptp.u1_cat_1 A))) (=> (tptp.m2_nattra_1 M C D I J) (=> (and (tptp.r2_nattra_1 A B E F) (tptp.r2_nattra_1 B C G H) (tptp.r2_nattra_1 C D I J)) (tptp.r4_nattra_1 _let_2 _let_1 _let_2 _let_1 (tptp.k8_isocat_1 A C D (tptp.k2_isocat_1 A B C E G) (tptp.k2_isocat_1 A B C F H) I J (tptp.k8_isocat_1 A B C E F G H K L) M) (tptp.k8_isocat_1 A B D E F (tptp.k2_isocat_1 B C D G I) (tptp.k2_isocat_1 B C D H J) K (tptp.k8_isocat_1 B C D G H I J L M)))))))))))))))))))))))))))))))) (forall ((A $$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 $$unsorted)) (=> (tptp.m2_cat_1 F B C) (forall ((G $$unsorted)) (let ((_let_1 (tptp.u2_cat_1 C))) (let ((_let_2 (tptp.u1_cat_1 A))) (=> (tptp.m2_nattra_1 G B C E F) (=> (tptp.r2_nattra_1 B C E F) (tptp.r4_nattra_1 _let_2 _let_1 _let_2 _let_1 (tptp.k7_isocat_1 A B C E F D G) (tptp.k8_isocat_1 A B C D D E F (tptp.k7_nattra_1 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 B C) (forall ((E $$unsorted)) (=> (tptp.m2_cat_1 E B C) (forall ((F $$unsorted)) (=> (tptp.m2_cat_1 F C A) (forall ((G $$unsorted)) (let ((_let_1 (tptp.u2_cat_1 A))) (let ((_let_2 (tptp.u1_cat_1 B))) (=> (tptp.m2_nattra_1 G B C D E) (=> (tptp.r2_nattra_1 B C D E) (tptp.r4_nattra_1 _let_2 _let_1 _let_2 _let_1 (tptp.k6_isocat_1 B C A D E G F) (tptp.k8_isocat_1 B C A D E F F G (tptp.k7_nattra_1 C A F)))))))))))))))))))) (forall ((A $$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 A B) (forall ((F $$unsorted)) (=> (tptp.m2_cat_1 F A B) (forall ((G $$unsorted)) (=> (tptp.m2_cat_1 G B C) (forall ((H $$unsorted)) (=> (tptp.m2_cat_1 H B C) (forall ((I $$unsorted)) (=> (tptp.m2_cat_1 I B C) (forall ((J $$unsorted)) (=> (tptp.m2_nattra_1 J A B D E) (forall ((K $$unsorted)) (=> (tptp.m2_nattra_1 K A B E F) (forall ((L $$unsorted)) (=> (tptp.m2_nattra_1 L B C G H) (forall ((M $$unsorted)) (let ((_let_1 (tptp.u2_cat_1 C))) (let ((_let_2 (tptp.u1_cat_1 A))) (=> (tptp.m2_nattra_1 M B C H I) (=> (and (tptp.r2_nattra_1 A B D E) (tptp.r2_nattra_1 A B E F) (tptp.r2_nattra_1 B C G H) (tptp.r2_nattra_1 B C H I)) (tptp.r4_nattra_1 _let_2 _let_1 _let_2 _let_1 (tptp.k8_isocat_1 A B C D F G I (tptp.k8_nattra_1 A B D E F J K) (tptp.k8_nattra_1 B C G H I L M)) (tptp.k8_nattra_1 A C (tptp.k2_isocat_1 A B C D G) (tptp.k2_isocat_1 A B C E H) (tptp.k2_isocat_1 A B C F I) (tptp.k8_isocat_1 A B C D E G H J L) (tptp.k8_isocat_1 A B C E F H I K M)))))))))))))))))))))))))))))))) (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 $$unsorted)) (=> (tptp.m2_cat_1 G B C) (forall ((H $$unsorted)) (=> (tptp.m2_cat_1 H B C) (=> (tptp.r3_nattra_1 B C G H) (and (tptp.r3_nattra_1 B D (tptp.k2_isocat_1 B C D G F) (tptp.k2_isocat_1 B C D H F)) (tptp.r3_nattra_1 A C (tptp.k2_isocat_1 A B C E G) (tptp.k2_isocat_1 A B C E H)))))))))))))))))))) (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.m2_cat_1 D B A) (forall ((E $$unsorted)) (=> (tptp.m2_cat_1 E A A) (=> (tptp.r3_nattra_1 A A E (tptp.k1_isocat_1 A)) (and (tptp.r3_nattra_1 A B (tptp.k2_isocat_1 A A B E C) C) (tptp.r3_nattra_1 B A (tptp.k2_isocat_1 B A A D E) D))))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v2_cat_1 B) (tptp.l1_cat_1 B)) (= (tptp.r2_isocat_1 A B) (exists ((C $$unsorted)) (and (tptp.m2_cat_1 C A B) (exists ((D $$unsorted)) (and (tptp.m2_cat_1 D B A) (tptp.r3_nattra_1 A A (tptp.k2_isocat_1 A B A C D) (tptp.k1_isocat_1 A)) (tptp.r3_nattra_1 B B (tptp.k2_isocat_1 B A B D C) (tptp.k1_isocat_1 B))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v2_cat_1 B) (tptp.l1_cat_1 B)) (=> (tptp.r1_isocat_1 A B) (tptp.r2_isocat_1 A B)))))) true true (forall ((A $$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)) (=> (and (tptp.v2_cat_1 C) (tptp.l1_cat_1 C)) (=> (and (tptp.r2_isocat_1 A B) (tptp.r2_isocat_1 B C)) (tptp.r2_isocat_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)) (=> (tptp.r2_isocat_1 A B) (forall ((C $$unsorted)) (=> (tptp.m2_cat_1 C A B) (= (tptp.m1_isocat_1 C A B) (exists ((D $$unsorted)) (and (tptp.m2_cat_1 D B A) (tptp.r3_nattra_1 A A (tptp.k2_isocat_1 A B A C D) (tptp.k1_isocat_1 A)) (tptp.r3_nattra_1 B B (tptp.k2_isocat_1 B A B D C) (tptp.k1_isocat_1 B)))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A)) (tptp.m1_isocat_1 (tptp.k1_isocat_1 A) A A))) (forall ((A $$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)) (=> (and (tptp.r2_isocat_1 A B) (tptp.r2_isocat_1 B C)) (forall ((D $$unsorted)) (=> (tptp.m1_isocat_1 D A B) (forall ((E $$unsorted)) (=> (tptp.m1_isocat_1 E B C) (tptp.m1_isocat_1 (tptp.k2_isocat_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)) (=> (tptp.r2_isocat_1 A B) (forall ((C $$unsorted)) (=> (tptp.m1_isocat_1 C A B) (exists ((D $$unsorted)) (and (tptp.m1_isocat_1 D B A) (tptp.r3_nattra_1 A A (tptp.k2_isocat_1 A B A C D) (tptp.k1_isocat_1 A)) (tptp.r3_nattra_1 B B (tptp.k2_isocat_1 B A B D C) (tptp.k1_isocat_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 $$unsorted)) (=> (tptp.m2_cat_1 C A B) (forall ((D $$unsorted)) (=> (tptp.m2_cat_1 D B A) (=> (tptp.r3_nattra_1 A A (tptp.k2_isocat_1 A B A C D) (tptp.k1_isocat_1 A)) (tptp.v10_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)) (=> (tptp.r2_isocat_1 A B) (forall ((C $$unsorted)) (=> (tptp.m1_isocat_1 C A B) (and (tptp.v9_cat_1 C A B) (tptp.v10_cat_1 C A B) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_cat_1 B)) (exists ((E $$unsorted)) (and (tptp.m1_subset_1 E (tptp.u1_cat_1 A)) (tptp.r1_cat_1 B D (tptp.k13_cat_1 A B C E)))))))))))))) (forall ((A $$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_isocat_1 C A B) (tptp.m2_cat_1 C 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)) (exists ((C $$unsorted)) (tptp.m1_isocat_1 C A B)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A) (tptp.v2_cat_1 B) (tptp.l1_cat_1 B)) (=> (tptp.r1_isocat_1 A B) (tptp.r1_isocat_1 B A)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A) (tptp.v2_cat_1 B) (tptp.l1_cat_1 B)) (tptp.r1_isocat_1 A A))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A) (tptp.v2_cat_1 B) (tptp.l1_cat_1 B)) (=> (tptp.r2_isocat_1 A B) (tptp.r2_isocat_1 B A)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A) (tptp.v2_cat_1 B) (tptp.l1_cat_1 B)) (tptp.r2_isocat_1 A A))) (forall ((A $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A)) (tptp.m2_cat_1 (tptp.k1_isocat_1 A) A A))) (forall ((A $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A)) (= (tptp.k1_isocat_1 A) (tptp.k15_cat_1 A)))) (forall ((A $$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.k2_isocat_1 A B C D E) A C))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A) (tptp.v2_cat_1 B) (tptp.l1_cat_1 B) (tptp.v2_cat_1 C) (tptp.l1_cat_1 C) (tptp.m2_cat_1 D A B) (tptp.m2_cat_1 E B C)) (= (tptp.k2_isocat_1 A B C D E) (tptp.k5_relat_1 D E)))) (forall ((A $$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.m2_cat_1 C A B)) (tptp.m2_cat_1 (tptp.k3_isocat_1 A B C) B A))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted) (G $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A) (tptp.v2_cat_1 B) (tptp.l1_cat_1 B) (tptp.v2_cat_1 C) (tptp.l1_cat_1 C) (tptp.m2_cat_1 D A B) (tptp.m2_cat_1 E A B) (tptp.m1_nattra_1 F A B D E) (tptp.m2_cat_1 G B C)) (tptp.m1_nattra_1 (tptp.k4_isocat_1 A B C D E F G) A C (tptp.k2_isocat_1 A B C D G) (tptp.k2_isocat_1 A B C E G)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted) (G $$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 B C) (tptp.m2_cat_1 E B C) (tptp.m2_cat_1 F A B) (tptp.m1_nattra_1 G B C D E)) (tptp.m1_nattra_1 (tptp.k5_isocat_1 A B C D E F G) A C (tptp.k2_isocat_1 A B C F D) (tptp.k2_isocat_1 A B C F E)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted) (G $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A) (tptp.v2_cat_1 B) (tptp.l1_cat_1 B) (tptp.v2_cat_1 C) (tptp.l1_cat_1 C) (tptp.m2_cat_1 D A B) (tptp.m2_cat_1 E A B) (tptp.m2_nattra_1 F A B D E) (tptp.m2_cat_1 G B C)) (tptp.m2_nattra_1 (tptp.k6_isocat_1 A B C D E F G) A C (tptp.k2_isocat_1 A B C D G) (tptp.k2_isocat_1 A B C E G)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted) (G $$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 B C) (tptp.m2_cat_1 E B C) (tptp.m2_cat_1 F A B) (tptp.m2_nattra_1 G B C D E)) (tptp.m2_nattra_1 (tptp.k7_isocat_1 A B C D E F G) A C (tptp.k2_isocat_1 A B C F D) (tptp.k2_isocat_1 A B C F E)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted) (G $$unsorted) (H $$unsorted) (I $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A) (tptp.v2_cat_1 B) (tptp.l1_cat_1 B) (tptp.v2_cat_1 C) (tptp.l1_cat_1 C) (tptp.m2_cat_1 D A B) (tptp.m2_cat_1 E A B) (tptp.m2_cat_1 F B C) (tptp.m2_cat_1 G B C) (tptp.m2_nattra_1 H A B D E) (tptp.m2_nattra_1 I B C F G)) (tptp.m2_nattra_1 (tptp.k8_isocat_1 A B C D E F G H I) A C (tptp.k2_isocat_1 A B C D F) (tptp.k2_isocat_1 A B C E G)))) (forall ((A $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (exists ((B $$unsorted)) (and (tptp.m1_pre_topc B A) (tptp.v1_pre_topc B) (tptp.v2_pre_topc B) (tptp.v1_tsep_1 B A))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (exists ((B $$unsorted)) (and (tptp.m1_pre_topc B A) (not (tptp.v3_struct_0 B)) (tptp.v1_pre_topc B) (tptp.v2_pre_topc B) (tptp.v1_tsep_1 B A))))) (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (forall ((B $$unsorted)) (=> (tptp.m1_pre_topc B A) (tptp.m1_subset_1 (tptp.u1_struct_0 B) (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))))))) (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (tptp.m1_pre_topc A A))) (forall ((A $$unsorted)) (=> (and (tptp.v1_pre_topc A) (tptp.l1_pre_topc A)) (= (tptp.k3_pre_topc A (tptp.k2_pre_topc A)) A))) (forall ((A $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_pre_topc B A) (forall ((C $$unsorted)) (=> (tptp.m1_pre_topc C A) (= (tptp.r1_tarski (tptp.u1_struct_0 B) (tptp.u1_struct_0 C)) (tptp.m1_pre_topc B C)))))))) (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (forall ((B $$unsorted)) (=> (tptp.m1_pre_topc B A) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 C))) (let ((_let_2 (tptp.u1_struct_0 B))) (=> (tptp.m1_pre_topc C A) (=> (= _let_2 _let_1) (= (tptp.g1_pre_topc _let_2 (tptp.u1_pre_topc B)) (tptp.g1_pre_topc _let_1 (tptp.u1_pre_topc C)))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_pre_topc B A) (forall ((C $$unsorted)) (=> (tptp.m1_pre_topc C A) (=> (and (tptp.m1_pre_topc B C) (tptp.m1_pre_topc C B)) (= (tptp.g1_pre_topc (tptp.u1_struct_0 B) (tptp.u1_pre_topc B)) (tptp.g1_pre_topc (tptp.u1_struct_0 C) (tptp.u1_pre_topc C)))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_pre_topc B A) (forall ((C $$unsorted)) (=> (tptp.m1_pre_topc C B) (tptp.m1_pre_topc C A))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_pre_topc A) (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 $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((E $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (=> (tptp.m1_subset_1 E (tptp.k1_zfmisc_1 _let_1)) (=> (and (tptp.v4_pre_topc C A) (tptp.r1_tarski C _let_1) (tptp.r1_tarski D C) (= D E)) (= (tptp.v4_pre_topc E B) (tptp.v4_pre_topc D A)))))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$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 A))) (forall ((E $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (=> (tptp.m1_subset_1 E (tptp.k1_zfmisc_1 _let_1)) (=> (and (tptp.v3_pre_topc C A) (tptp.r1_tarski C _let_1) (tptp.r1_tarski D C) (= D E)) (= (tptp.v3_pre_topc E B) (tptp.v3_pre_topc D A)))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (exists ((C $$unsorted)) (and (not (tptp.v3_struct_0 C)) (tptp.v1_pre_topc C) (tptp.m1_pre_topc C A) (= B (tptp.u1_struct_0 C)))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_pre_topc B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (= C (tptp.u1_struct_0 B)) (= (and (tptp.v1_borsuk_1 B A) (tptp.m1_pre_topc B A)) (tptp.v4_pre_topc C A))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_borsuk_1 B A) (tptp.m1_pre_topc B A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B))) (=> (= C D) (= (tptp.v4_pre_topc D B) (tptp.v4_pre_topc C A))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_borsuk_1 B A) (tptp.m1_pre_topc B A)) (forall ((C $$unsorted)) (=> (and (tptp.v1_borsuk_1 C B) (tptp.m1_pre_topc C B)) (and (tptp.v1_borsuk_1 C A) (tptp.m1_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)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v1_borsuk_1 B A) (tptp.m1_pre_topc B A)) (forall ((C $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.m1_pre_topc C A)) (=> (tptp.r1_tarski (tptp.u1_struct_0 B) (tptp.u1_struct_0 C)) (and (not (tptp.v3_struct_0 B)) (tptp.v1_borsuk_1 B C) (tptp.m1_pre_topc B C))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (not (and (tptp.v4_pre_topc B A) (forall ((C $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.v1_pre_topc C) (tptp.v1_borsuk_1 C A) (tptp.m1_pre_topc C A)) (not (= B (tptp.u1_struct_0 C))))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (forall ((B $$unsorted)) (=> (tptp.m1_pre_topc B A) (= (tptp.v1_tsep_1 B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (= C (tptp.u1_struct_0 B)) (tptp.v3_pre_topc C A))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_pre_topc A) (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))) (=> (= C (tptp.u1_struct_0 B)) (= (and (tptp.v1_tsep_1 B A) (tptp.m1_pre_topc B A)) (tptp.v3_pre_topc C A))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_tsep_1 B A) (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.v3_pre_topc D B) (tptp.v3_pre_topc C A))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_tsep_1 B A) (tptp.m1_pre_topc B A)) (forall ((C $$unsorted)) (=> (and (tptp.v1_tsep_1 C B) (tptp.m1_pre_topc C B)) (and (tptp.v1_tsep_1 C A) (tptp.m1_pre_topc C A)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_tsep_1 B A) (tptp.m1_pre_topc B A)) (forall ((C $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.m1_pre_topc C A)) (=> (tptp.r1_tarski (tptp.u1_struct_0 B) (tptp.u1_struct_0 C)) (and (tptp.v1_tsep_1 B C) (tptp.m1_pre_topc 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_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (not (and (tptp.v3_pre_topc B A) (forall ((C $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.v1_pre_topc C) (tptp.v1_tsep_1 C A) (tptp.m1_pre_topc C A)) (not (= B (tptp.u1_struct_0 C))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 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.v3_struct_0 C)) (tptp.m1_pre_topc C A)) (forall ((D $$unsorted)) (=> (and (not (tptp.v3_struct_0 D)) (tptp.v1_pre_topc D) (tptp.m1_pre_topc D A)) (= (= D (tptp.k1_tsep_1 A B C)) (= (tptp.u1_struct_0 D) (tptp.k2_xboole_0 (tptp.u1_struct_0 B) (tptp.u1_struct_0 C)))))))))))) (forall ((A $$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.v3_struct_0 C)) (tptp.m1_pre_topc C A)) (forall ((D $$unsorted)) (=> (and (not (tptp.v3_struct_0 D)) (tptp.m1_pre_topc D A)) (= (tptp.k1_tsep_1 A (tptp.k1_tsep_1 A B C) D) (tptp.k1_tsep_1 A B (tptp.k1_tsep_1 A C D))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.m1_pre_topc B A)) (forall ((C $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.m1_pre_topc C A)) (tptp.m1_pre_topc B (tptp.k1_tsep_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 $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.m1_pre_topc C A)) (= (tptp.m1_pre_topc B C) (= (tptp.k1_tsep_1 A B C) (tptp.g1_pre_topc (tptp.u1_struct_0 C) (tptp.u1_pre_topc C)))))))))) (forall ((A $$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)) (let ((_let_1 (tptp.k1_tsep_1 A B C))) (=> (and (not (tptp.v3_struct_0 C)) (tptp.v1_borsuk_1 C A) (tptp.m1_pre_topc C A)) (and (tptp.v1_borsuk_1 _let_1 A) (tptp.m1_pre_topc _let_1 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.v1_tsep_1 B A) (tptp.m1_pre_topc B A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k1_tsep_1 A B C))) (=> (and (not (tptp.v3_struct_0 C)) (tptp.v1_tsep_1 C A) (tptp.m1_pre_topc C A)) (and (tptp.v1_tsep_1 _let_1 A) (tptp.m1_pre_topc _let_1 A))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (forall ((B $$unsorted)) (=> (tptp.m1_pre_topc B A) (forall ((C $$unsorted)) (=> (tptp.m1_pre_topc C A) (= (tptp.r1_tsep_1 A B C) (tptp.r1_xboole_0 (tptp.u1_struct_0 B) (tptp.u1_struct_0 C))))))))) true (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.m1_pre_topc B A)) (forall ((C $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.m1_pre_topc C A)) (=> (not (tptp.r1_tsep_1 A B C)) (forall ((D $$unsorted)) (=> (and (not (tptp.v3_struct_0 D)) (tptp.v1_pre_topc D) (tptp.m1_pre_topc D A)) (= (= D (tptp.k2_tsep_1 A B C)) (= (tptp.u1_struct_0 D) (tptp.k3_xboole_0 (tptp.u1_struct_0 B) (tptp.u1_struct_0 C))))))))))))) true true true (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 $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.m1_pre_topc C A)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k2_tsep_1 A C D))) (let ((_let_2 (tptp.k2_tsep_1 A B C))) (let ((_let_3 (not (tptp.r1_tsep_1 A B C)))) (=> (and (not (tptp.v3_struct_0 D)) (tptp.m1_pre_topc D A)) (and (=> _let_3 (= _let_2 (tptp.k2_tsep_1 A C B))) (=> (or (and _let_3 (not (tptp.r1_tsep_1 A _let_2 D))) (and (not (tptp.r1_tsep_1 A C D)) (not (tptp.r1_tsep_1 A B _let_1)))) (= (tptp.k2_tsep_1 A _let_2 D) (tptp.k2_tsep_1 A B _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.m1_pre_topc B A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k2_tsep_1 A B C))) (=> (and (not (tptp.v3_struct_0 C)) (tptp.m1_pre_topc C A)) (=> (not (tptp.r1_tsep_1 A B C)) (and (tptp.m1_pre_topc _let_1 B) (tptp.m1_pre_topc _let_1 C)))))))))) (forall ((A $$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)) (let ((_let_1 (tptp.m1_pre_topc C B))) (let ((_let_2 (tptp.k2_tsep_1 A B C))) (let ((_let_3 (= _let_2 (tptp.g1_pre_topc (tptp.u1_struct_0 C) (tptp.u1_pre_topc C))))) (let ((_let_4 (tptp.m1_pre_topc B C))) (let ((_let_5 (= _let_2 (tptp.g1_pre_topc (tptp.u1_struct_0 B) (tptp.u1_pre_topc B))))) (=> (and (not (tptp.v3_struct_0 C)) (tptp.m1_pre_topc C A)) (=> (not (tptp.r1_tsep_1 A B C)) (and (=> _let_4 _let_5) (=> _let_5 _let_4) (=> _let_1 _let_3) (=> _let_3 _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.v1_borsuk_1 B A) (tptp.m1_pre_topc B A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k2_tsep_1 A B C))) (=> (and (not (tptp.v3_struct_0 C)) (tptp.v1_borsuk_1 C A) (tptp.m1_pre_topc C A)) (=> (not (tptp.r1_tsep_1 A B C)) (and (tptp.v1_borsuk_1 _let_1 A) (tptp.m1_pre_topc _let_1 A)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v1_tsep_1 B A) (tptp.m1_pre_topc B A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k2_tsep_1 A B C))) (=> (and (not (tptp.v3_struct_0 C)) (tptp.v1_tsep_1 C A) (tptp.m1_pre_topc C A)) (=> (not (tptp.r1_tsep_1 A B C)) (and (tptp.v1_tsep_1 _let_1 A) (tptp.m1_pre_topc _let_1 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.m1_pre_topc B A)) (forall ((C $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.m1_pre_topc C A)) (=> (not (tptp.r1_tsep_1 A B C)) (tptp.m1_pre_topc (tptp.k2_tsep_1 A B C) (tptp.k1_tsep_1 A B C))))))))) (forall ((A $$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.v3_struct_0 C)) (tptp.m1_pre_topc C A)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k1_tsep_1 A B C))) (=> (and (not (tptp.v3_struct_0 D)) (tptp.m1_pre_topc D A)) (not (and (not (tptp.r1_tsep_1 A B D)) (not (tptp.r1_tsep_1 A D C)) (not (and (= (tptp.k2_tsep_1 A _let_1 D) (tptp.k1_tsep_1 A (tptp.k2_tsep_1 A B D) (tptp.k2_tsep_1 A C D))) (= (tptp.k2_tsep_1 A D _let_1) (tptp.k1_tsep_1 A (tptp.k2_tsep_1 A D B) (tptp.k2_tsep_1 A D C)))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.m1_pre_topc B A)) (forall ((C $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.m1_pre_topc C A)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k2_tsep_1 A B C))) (=> (and (not (tptp.v3_struct_0 D)) (tptp.m1_pre_topc D A)) (=> (not (tptp.r1_tsep_1 A B C)) (and (= (tptp.k1_tsep_1 A _let_1 D) (tptp.k2_tsep_1 A (tptp.k1_tsep_1 A B D) (tptp.k1_tsep_1 A C D))) (= (tptp.k1_tsep_1 A D _let_1) (tptp.k2_tsep_1 A (tptp.k1_tsep_1 A D B) (tptp.k1_tsep_1 A D C)))))))))))))) true (forall ((A $$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)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (and (tptp.v4_pre_topc B A) (tptp.v4_pre_topc C A)) (= (tptp.r1_xboole_0 B C) (tptp.r1_connsp_1 A 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 $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 _let_1)) (=> (and (tptp.v4_pre_topc (tptp.k4_subset_1 _let_1 B C) A) (tptp.r1_connsp_1 A B C)) (and (tptp.v4_pre_topc B A) (tptp.v4_pre_topc C A)))))))))) (forall ((A $$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)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (and (tptp.r1_xboole_0 B C) (tptp.v3_pre_topc B A)) (tptp.r1_xboole_0 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 $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (and (tptp.v3_pre_topc B A) (tptp.v3_pre_topc C A)) (= (tptp.r1_xboole_0 B C) (tptp.r1_connsp_1 A B C))))))))) (forall ((A $$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)) (=> (and (tptp.v3_pre_topc (tptp.k4_subset_1 _let_1 B C) A) (tptp.r1_connsp_1 A B C)) (and (tptp.v3_pre_topc B A) (tptp.v3_pre_topc 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 $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 _let_1)) (=> (tptp.r1_connsp_1 A B C) (tptp.r1_connsp_1 A (tptp.k5_subset_1 _let_1 B D) (tptp.k5_subset_1 _let_1 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))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 _let_1)) (=> (or (tptp.r1_connsp_1 A B D) (tptp.r1_connsp_1 A C D)) (tptp.r1_connsp_1 A (tptp.k5_subset_1 _let_1 B 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))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 _let_1)) (= (and (tptp.r1_connsp_1 A B D) (tptp.r1_connsp_1 A C D)) (tptp.r1_connsp_1 A (tptp.k4_subset_1 _let_1 B 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))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (tptp.r1_connsp_1 A B C) (exists ((D $$unsorted)) (and (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (exists ((E $$unsorted)) (and (tptp.m1_subset_1 E (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (tptp.r1_tarski B D) (tptp.r1_tarski C E) (tptp.r1_xboole_0 D C) (tptp.r1_xboole_0 E B) (tptp.v4_pre_topc D A) (tptp.v4_pre_topc E A)))))))))))) (forall ((A $$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)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (tptp.r1_connsp_1 A B C) (exists ((D $$unsorted)) (and (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (exists ((E $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (and (tptp.m1_subset_1 E (tptp.k1_zfmisc_1 _let_1)) (tptp.r1_tarski B D) (tptp.r1_tarski C E) (tptp.r1_xboole_0 (tptp.k5_subset_1 _let_1 D E) (tptp.k4_subset_1 _let_1 B C)) (tptp.v4_pre_topc D A) (tptp.v4_pre_topc E 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 $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (tptp.r1_connsp_1 A B C) (exists ((D $$unsorted)) (and (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (exists ((E $$unsorted)) (and (tptp.m1_subset_1 E (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (tptp.r1_tarski B D) (tptp.r1_tarski C E) (tptp.r1_xboole_0 D C) (tptp.r1_xboole_0 E B) (tptp.v3_pre_topc D A) (tptp.v3_pre_topc E A)))))))))))) (forall ((A $$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)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (tptp.r1_connsp_1 A B C) (exists ((D $$unsorted)) (and (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (exists ((E $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (and (tptp.m1_subset_1 E (tptp.k1_zfmisc_1 _let_1)) (tptp.r1_tarski B D) (tptp.r1_tarski C E) (tptp.r1_xboole_0 (tptp.k5_subset_1 _let_1 D E) (tptp.k4_subset_1 _let_1 B C)) (tptp.v3_pre_topc D A) (tptp.v3_pre_topc E 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 $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 _let_1)) (= (tptp.r2_tsep_1 A B C) (tptp.r1_connsp_1 A (tptp.k6_subset_1 _let_1 B C) (tptp.k6_subset_1 _let_1 C B)))))))))) true (forall ((A $$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)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (and (tptp.r1_xboole_0 B C) (tptp.r2_tsep_1 A B C)) (tptp.r1_connsp_1 A 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 $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (tptp.r1_tarski B C) (tptp.r2_tsep_1 A B C)))))))) (forall ((A $$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)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (and (tptp.v4_pre_topc B A) (tptp.v4_pre_topc C A)) (tptp.r2_tsep_1 A 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 $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (and (tptp.v3_pre_topc B A) (tptp.v3_pre_topc C A)) (tptp.r2_tsep_1 A B C)))))))) (forall ((A $$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)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 _let_1)) (=> (tptp.r2_tsep_1 A B C) (tptp.r2_tsep_1 A (tptp.k4_subset_1 _let_1 B D) (tptp.k4_subset_1 _let_1 C D)))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((E $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 E (tptp.k1_zfmisc_1 _let_1)) (=> (and (tptp.r1_tarski D B) (tptp.r1_tarski E C) (tptp.r2_tsep_1 A C B)) (tptp.r2_tsep_1 A (tptp.k4_subset_1 _let_1 C D) (tptp.k4_subset_1 _let_1 B E)))))))))))))) (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 $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 _let_1)) (=> (and (tptp.r2_tsep_1 A B D) (tptp.r2_tsep_1 A C D)) (tptp.r2_tsep_1 A (tptp.k5_subset_1 _let_1 B 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))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 _let_1)) (=> (and (tptp.r2_tsep_1 A B D) (tptp.r2_tsep_1 A C D)) (tptp.r2_tsep_1 A (tptp.k4_subset_1 _let_1 B 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))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (tptp.r2_tsep_1 A B C) (exists ((D $$unsorted)) (and (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (exists ((E $$unsorted)) (and (tptp.m1_subset_1 E (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (exists ((F $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.k4_subset_1 _let_1 B C))) (and (tptp.m1_subset_1 F (tptp.k1_zfmisc_1 _let_1)) (tptp.r1_tarski (tptp.k5_subset_1 _let_1 D _let_2) B) (tptp.r1_tarski (tptp.k5_subset_1 _let_1 E _let_2) C) (tptp.r1_tarski (tptp.k5_subset_1 _let_1 F _let_2) (tptp.k5_subset_1 _let_1 B C)) (= _let_1 (tptp.k4_subset_1 _let_1 (tptp.k4_subset_1 _let_1 D E) F)) (tptp.v4_pre_topc D A) (tptp.v4_pre_topc E A) (tptp.v3_pre_topc F 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 $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (not (and (tptp.r2_tsep_1 A B C) (not (tptp.r1_tarski B C)) (not (tptp.r1_tarski C B)) (forall ((D $$unsorted)) (=> (and (not (tptp.v1_xboole_0 D)) (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (forall ((E $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.k4_subset_1 _let_1 B C))) (=> (and (not (tptp.v1_xboole_0 E)) (tptp.m1_subset_1 E (tptp.k1_zfmisc_1 _let_1))) (not (and (tptp.v4_pre_topc D A) (tptp.v4_pre_topc E A) (tptp.r1_tarski (tptp.k5_subset_1 _let_1 D _let_2) B) (tptp.r1_tarski (tptp.k5_subset_1 _let_1 E _let_2) C) (not (and (not (tptp.r1_tarski _let_2 (tptp.k4_subset_1 _let_1 D E))) (forall ((F $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v1_xboole_0 F)) (tptp.m1_subset_1 F (tptp.k1_zfmisc_1 _let_1))) (not (and (tptp.v3_pre_topc F A) (tptp.r1_tarski (tptp.k5_subset_1 _let_1 F (tptp.k4_subset_1 _let_1 B C)) (tptp.k5_subset_1 _let_1 B C)) (= _let_1 (tptp.k4_subset_1 _let_1 (tptp.k4_subset_1 _let_1 D E) F))))))))))))))))))))))))) (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 $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 _let_1)) (=> (= (tptp.k4_subset_1 _let_1 B C) _let_1) (= (tptp.r2_tsep_1 A B C) (exists ((D $$unsorted)) (and (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (exists ((E $$unsorted)) (and (tptp.m1_subset_1 E (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (exists ((F $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (and (tptp.m1_subset_1 F (tptp.k1_zfmisc_1 _let_1)) (= (tptp.k4_subset_1 _let_1 B C) (tptp.k4_subset_1 _let_1 (tptp.k4_subset_1 _let_1 D E) F)) (tptp.r1_tarski D B) (tptp.r1_tarski E C) (tptp.r1_tarski F (tptp.k5_subset_1 _let_1 B C)) (tptp.v4_pre_topc D A) (tptp.v4_pre_topc E A) (tptp.v3_pre_topc F 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 $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 _let_1)) (not (and (= (tptp.k4_subset_1 _let_1 B C) _let_1) (tptp.r2_tsep_1 A B C) (not (tptp.r1_tarski B C)) (not (tptp.r1_tarski C B)) (forall ((D $$unsorted)) (=> (and (not (tptp.v1_xboole_0 D)) (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (forall ((E $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v1_xboole_0 E)) (tptp.m1_subset_1 E (tptp.k1_zfmisc_1 _let_1))) (not (and (tptp.v4_pre_topc D A) (tptp.v4_pre_topc E A) (tptp.r1_tarski D B) (tptp.r1_tarski E C) (not (and (not (= (tptp.k4_subset_1 _let_1 B C) (tptp.k4_subset_1 _let_1 D E))) (forall ((F $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v1_xboole_0 F)) (tptp.m1_subset_1 F (tptp.k1_zfmisc_1 _let_1))) (not (and (= (tptp.k4_subset_1 _let_1 B C) (tptp.k4_subset_1 _let_1 (tptp.k4_subset_1 _let_1 D E) F)) (tptp.r1_tarski F (tptp.k5_subset_1 _let_1 B C)) (tptp.v3_pre_topc F 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 $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (tptp.r2_tsep_1 A B C) (exists ((D $$unsorted)) (and (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (exists ((E $$unsorted)) (and (tptp.m1_subset_1 E (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (exists ((F $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.k4_subset_1 _let_1 B C))) (and (tptp.m1_subset_1 F (tptp.k1_zfmisc_1 _let_1)) (tptp.r1_tarski (tptp.k5_subset_1 _let_1 D _let_2) B) (tptp.r1_tarski (tptp.k5_subset_1 _let_1 E _let_2) C) (tptp.r1_tarski (tptp.k5_subset_1 _let_1 F _let_2) (tptp.k5_subset_1 _let_1 B C)) (= _let_1 (tptp.k4_subset_1 _let_1 (tptp.k4_subset_1 _let_1 D E) F)) (tptp.v3_pre_topc D A) (tptp.v3_pre_topc E A) (tptp.v4_pre_topc F 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 $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (not (and (tptp.r2_tsep_1 A B C) (not (tptp.r1_tarski B C)) (not (tptp.r1_tarski C B)) (forall ((D $$unsorted)) (=> (and (not (tptp.v1_xboole_0 D)) (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (forall ((E $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.k4_subset_1 _let_1 B C))) (=> (and (not (tptp.v1_xboole_0 E)) (tptp.m1_subset_1 E (tptp.k1_zfmisc_1 _let_1))) (not (and (tptp.v3_pre_topc D A) (tptp.v3_pre_topc E A) (tptp.r1_tarski (tptp.k5_subset_1 _let_1 D _let_2) B) (tptp.r1_tarski (tptp.k5_subset_1 _let_1 E _let_2) C) (not (and (not (tptp.r1_tarski _let_2 (tptp.k4_subset_1 _let_1 D E))) (forall ((F $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v1_xboole_0 F)) (tptp.m1_subset_1 F (tptp.k1_zfmisc_1 _let_1))) (not (and (tptp.v4_pre_topc F A) (tptp.r1_tarski (tptp.k5_subset_1 _let_1 F (tptp.k4_subset_1 _let_1 B C)) (tptp.k5_subset_1 _let_1 B C)) (= _let_1 (tptp.k4_subset_1 _let_1 (tptp.k4_subset_1 _let_1 D E) F))))))))))))))))))))))))) (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 $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 _let_1)) (=> (= (tptp.k4_subset_1 _let_1 B C) _let_1) (= (tptp.r2_tsep_1 A B C) (exists ((D $$unsorted)) (and (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (exists ((E $$unsorted)) (and (tptp.m1_subset_1 E (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (exists ((F $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (and (tptp.m1_subset_1 F (tptp.k1_zfmisc_1 _let_1)) (= (tptp.k4_subset_1 _let_1 B C) (tptp.k4_subset_1 _let_1 (tptp.k4_subset_1 _let_1 D E) F)) (tptp.r1_tarski D B) (tptp.r1_tarski E C) (tptp.r1_tarski F (tptp.k5_subset_1 _let_1 B C)) (tptp.v3_pre_topc D A) (tptp.v3_pre_topc E A) (tptp.v4_pre_topc F 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 $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 _let_1)) (not (and (= (tptp.k4_subset_1 _let_1 B C) _let_1) (tptp.r2_tsep_1 A B C) (not (tptp.r1_tarski B C)) (not (tptp.r1_tarski C B)) (forall ((D $$unsorted)) (=> (and (not (tptp.v1_xboole_0 D)) (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (forall ((E $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v1_xboole_0 E)) (tptp.m1_subset_1 E (tptp.k1_zfmisc_1 _let_1))) (not (and (tptp.v3_pre_topc D A) (tptp.v3_pre_topc E A) (tptp.r1_tarski D B) (tptp.r1_tarski E C) (not (and (not (= (tptp.k4_subset_1 _let_1 B C) (tptp.k4_subset_1 _let_1 D E))) (forall ((F $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v1_xboole_0 F)) (tptp.m1_subset_1 F (tptp.k1_zfmisc_1 _let_1))) (not (and (= (tptp.k4_subset_1 _let_1 B C) (tptp.k4_subset_1 _let_1 (tptp.k4_subset_1 _let_1 D E) F)) (tptp.r1_tarski F (tptp.k5_subset_1 _let_1 B C)) (tptp.v4_pre_topc F 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 $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (tptp.r1_connsp_1 A B C) (exists ((D $$unsorted)) (and (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (exists ((E $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (and (tptp.m1_subset_1 E (tptp.k1_zfmisc_1 _let_1)) (tptp.r2_tsep_1 A D E) (tptp.r1_tarski B D) (tptp.r1_tarski C E) (tptp.r1_xboole_0 (tptp.k5_subset_1 _let_1 D E) (tptp.k4_subset_1 _let_1 B C)))))))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (forall ((B $$unsorted)) (=> (tptp.m1_pre_topc B A) (forall ((C $$unsorted)) (=> (tptp.m1_pre_topc C A) (= (tptp.r3_tsep_1 A B C) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (and (= D (tptp.u1_struct_0 B)) (= E (tptp.u1_struct_0 C))) (tptp.r1_connsp_1 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)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.m1_pre_topc B A)) (forall ((C $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.m1_pre_topc C A)) (=> (tptp.r3_tsep_1 A B C) (tptp.r1_tsep_1 A B C)))))))) true (forall ((A $$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 (not (tptp.v3_struct_0 C)) (tptp.v1_borsuk_1 C A) (tptp.m1_pre_topc C A)) (= (tptp.r1_tsep_1 A B C) (tptp.r3_tsep_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 $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.m1_pre_topc C A)) (=> (and (= A (tptp.k1_tsep_1 A B C)) (tptp.r3_tsep_1 A B C)) (and (tptp.v1_borsuk_1 B A) (tptp.m1_pre_topc B A))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.m1_pre_topc B A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k1_tsep_1 A B C))) (=> (and (not (tptp.v3_struct_0 C)) (tptp.m1_pre_topc C A)) (=> (and (tptp.v1_borsuk_1 _let_1 A) (tptp.m1_pre_topc _let_1 A) (tptp.r3_tsep_1 A B C)) (and (tptp.v1_borsuk_1 B A) (tptp.m1_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)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v1_tsep_1 B A) (tptp.m1_pre_topc B A)) (forall ((C $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.v1_tsep_1 C A) (tptp.m1_pre_topc C A)) (= (tptp.r1_tsep_1 A B C) (tptp.r3_tsep_1 A B C)))))))) (forall ((A $$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.v3_struct_0 C)) (tptp.m1_pre_topc C A)) (=> (and (= A (tptp.k1_tsep_1 A B C)) (tptp.r3_tsep_1 A B C)) (and (tptp.v1_tsep_1 B A) (tptp.m1_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)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.m1_pre_topc B A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k1_tsep_1 A B C))) (=> (and (not (tptp.v3_struct_0 C)) (tptp.m1_pre_topc C A)) (=> (and (tptp.v1_tsep_1 _let_1 A) (tptp.m1_pre_topc _let_1 A) (tptp.r3_tsep_1 A B C)) (and (tptp.v1_tsep_1 B A) (tptp.m1_pre_topc B A)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.m1_pre_topc B A)) (forall ((C $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.m1_pre_topc C A)) (forall ((D $$unsorted)) (=> (and (not (tptp.v3_struct_0 D)) (tptp.m1_pre_topc D A)) (=> (tptp.r3_tsep_1 A C D) (or (tptp.r1_tsep_1 A C B) (tptp.r1_tsep_1 A D B) (and (tptp.r3_tsep_1 A (tptp.k2_tsep_1 A C B) (tptp.k2_tsep_1 A D B)) (tptp.r3_tsep_1 A (tptp.k2_tsep_1 A B C) (tptp.k2_tsep_1 A B D))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.m1_pre_topc B A)) (forall ((C $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.m1_pre_topc C A)) (forall ((D $$unsorted)) (=> (tptp.m1_pre_topc D A) (forall ((E $$unsorted)) (=> (tptp.m1_pre_topc E A) (=> (and (tptp.m1_pre_topc D B) (tptp.m1_pre_topc E C) (tptp.r3_tsep_1 A B C)) (tptp.r3_tsep_1 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)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.m1_pre_topc B A)) (forall ((C $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.m1_pre_topc C A)) (forall ((D $$unsorted)) (=> (and (not (tptp.v3_struct_0 D)) (tptp.m1_pre_topc D A)) (=> (tptp.r3_tsep_1 A B D) (or (tptp.r1_tsep_1 A B C) (tptp.r3_tsep_1 A (tptp.k2_tsep_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.m1_pre_topc B A)) (forall ((C $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.m1_pre_topc C A)) (forall ((D $$unsorted)) (=> (and (not (tptp.v3_struct_0 D)) (tptp.m1_pre_topc D A)) (= (and (tptp.r3_tsep_1 A B D) (tptp.r3_tsep_1 A C D)) (tptp.r3_tsep_1 A (tptp.k1_tsep_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.m1_pre_topc B A)) (forall ((C $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.m1_pre_topc C A)) (= (tptp.r3_tsep_1 A B C) (exists ((D $$unsorted)) (and (not (tptp.v3_struct_0 D)) (tptp.v1_borsuk_1 D A) (tptp.m1_pre_topc D A) (exists ((E $$unsorted)) (and (not (tptp.v3_struct_0 E)) (tptp.v1_borsuk_1 E A) (tptp.m1_pre_topc E A) (tptp.m1_pre_topc B D) (tptp.m1_pre_topc C E) (tptp.r1_tsep_1 A D C) (tptp.r1_tsep_1 A E B)))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.m1_pre_topc B A)) (forall ((C $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.m1_pre_topc C A)) (= (tptp.r3_tsep_1 A B C) (exists ((D $$unsorted)) (and (not (tptp.v3_struct_0 D)) (tptp.v1_borsuk_1 D A) (tptp.m1_pre_topc D A) (exists ((E $$unsorted)) (and (not (tptp.v3_struct_0 E)) (tptp.v1_borsuk_1 E A) (tptp.m1_pre_topc E A) (tptp.m1_pre_topc B D) (tptp.m1_pre_topc C E) (or (tptp.r1_tsep_1 A D E) (tptp.r1_tsep_1 A (tptp.k2_tsep_1 A D E) (tptp.k1_tsep_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 $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.m1_pre_topc C A)) (= (tptp.r3_tsep_1 A B C) (exists ((D $$unsorted)) (and (not (tptp.v3_struct_0 D)) (tptp.v1_tsep_1 D A) (tptp.m1_pre_topc D A) (exists ((E $$unsorted)) (and (not (tptp.v3_struct_0 E)) (tptp.v1_tsep_1 E A) (tptp.m1_pre_topc E A) (tptp.m1_pre_topc B D) (tptp.m1_pre_topc C E) (tptp.r1_tsep_1 A D C) (tptp.r1_tsep_1 A E B)))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.m1_pre_topc B A)) (forall ((C $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.m1_pre_topc C A)) (= (tptp.r3_tsep_1 A B C) (exists ((D $$unsorted)) (and (not (tptp.v3_struct_0 D)) (tptp.v1_tsep_1 D A) (tptp.m1_pre_topc D A) (exists ((E $$unsorted)) (and (not (tptp.v3_struct_0 E)) (tptp.v1_tsep_1 E A) (tptp.m1_pre_topc E A) (tptp.m1_pre_topc B D) (tptp.m1_pre_topc C E) (or (tptp.r1_tsep_1 A D E) (tptp.r1_tsep_1 A (tptp.k2_tsep_1 A D E) (tptp.k1_tsep_1 A B C)))))))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (forall ((B $$unsorted)) (=> (tptp.m1_pre_topc B A) (forall ((C $$unsorted)) (=> (tptp.m1_pre_topc C A) (= (tptp.r4_tsep_1 A B C) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (and (= D (tptp.u1_struct_0 B)) (= E (tptp.u1_struct_0 C))) (tptp.r2_tsep_1 A D E))))))))))))) true (forall ((A $$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.v3_struct_0 C)) (tptp.m1_pre_topc C A)) (= (and (tptp.r1_tsep_1 A B C) (tptp.r4_tsep_1 A B C)) (tptp.r3_tsep_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 $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.m1_pre_topc C A)) (=> (tptp.m1_pre_topc B C) (tptp.r4_tsep_1 A B C)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_borsuk_1 B A) (tptp.m1_pre_topc B A)) (forall ((C $$unsorted)) (=> (and (tptp.v1_borsuk_1 C A) (tptp.m1_pre_topc C A)) (tptp.r4_tsep_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 (tptp.v1_tsep_1 B A) (tptp.m1_pre_topc B A)) (forall ((C $$unsorted)) (=> (and (tptp.v1_tsep_1 C A) (tptp.m1_pre_topc C A)) (tptp.r4_tsep_1 A B C))))))) (forall ((A $$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.v3_struct_0 C)) (tptp.m1_pre_topc C A)) (forall ((D $$unsorted)) (=> (and (not (tptp.v3_struct_0 D)) (tptp.m1_pre_topc D A)) (=> (tptp.r4_tsep_1 A B C) (tptp.r4_tsep_1 A (tptp.k1_tsep_1 A B D) (tptp.k1_tsep_1 A C D))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.m1_pre_topc B A)) (forall ((C $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.m1_pre_topc C A)) (forall ((D $$unsorted)) (=> (and (not (tptp.v3_struct_0 D)) (tptp.m1_pre_topc D A)) (forall ((E $$unsorted)) (=> (and (not (tptp.v3_struct_0 E)) (tptp.m1_pre_topc E A)) (=> (and (tptp.m1_pre_topc D B) (tptp.m1_pre_topc E C) (tptp.r4_tsep_1 A C B)) (and (tptp.r4_tsep_1 A (tptp.k1_tsep_1 A C D) (tptp.k1_tsep_1 A B E)) (tptp.r4_tsep_1 A (tptp.k1_tsep_1 A D C) (tptp.k1_tsep_1 A 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.m1_pre_topc B A)) (forall ((C $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.m1_pre_topc C A)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k2_tsep_1 A C D))) (=> (and (not (tptp.v3_struct_0 D)) (tptp.m1_pre_topc D A)) (=> (not (tptp.r1_tsep_1 A C D)) (and (=> (and (tptp.r4_tsep_1 A C B) (tptp.r4_tsep_1 A D B)) (tptp.r4_tsep_1 A _let_1 B)) (=> (and (tptp.r4_tsep_1 A B C) (tptp.r4_tsep_1 A B D)) (tptp.r4_tsep_1 A B _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.m1_pre_topc B A)) (forall ((C $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.m1_pre_topc C A)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k1_tsep_1 A B C))) (=> (and (not (tptp.v3_struct_0 D)) (tptp.m1_pre_topc D A)) (and (=> (and (tptp.r4_tsep_1 A B D) (tptp.r4_tsep_1 A C D)) (tptp.r4_tsep_1 A _let_1 D)) (=> (and (tptp.r4_tsep_1 A D B) (tptp.r4_tsep_1 A D C)) (tptp.r4_tsep_1 A D _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.m1_pre_topc B A)) (forall ((C $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.m1_pre_topc C A)) (=> (not (tptp.r1_tsep_1 A B C)) (= (tptp.r4_tsep_1 A B C) (not (and (not (tptp.m1_pre_topc B C)) (not (tptp.m1_pre_topc C B)) (forall ((D $$unsorted)) (=> (and (not (tptp.v3_struct_0 D)) (tptp.v1_borsuk_1 D A) (tptp.m1_pre_topc D A)) (forall ((E $$unsorted)) (let ((_let_1 (tptp.k1_tsep_1 A B C))) (=> (and (not (tptp.v3_struct_0 E)) (tptp.v1_borsuk_1 E A) (tptp.m1_pre_topc E A)) (not (and (tptp.m1_pre_topc (tptp.k2_tsep_1 A D _let_1) B) (tptp.m1_pre_topc (tptp.k2_tsep_1 A E _let_1) C) (not (and (not (tptp.m1_pre_topc _let_1 (tptp.k1_tsep_1 A D E))) (forall ((F $$unsorted)) (=> (and (not (tptp.v3_struct_0 F)) (tptp.v1_tsep_1 F A) (tptp.m1_pre_topc F A)) (not (and (= (tptp.g1_pre_topc (tptp.u1_struct_0 A) (tptp.u1_pre_topc A)) (tptp.k1_tsep_1 A (tptp.k1_tsep_1 A D E) F)) (tptp.m1_pre_topc (tptp.k2_tsep_1 A F (tptp.k1_tsep_1 A B C)) (tptp.k2_tsep_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 $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.m1_pre_topc C A)) (=> (= A (tptp.k1_tsep_1 A B C)) (or (tptp.r1_tsep_1 A B C) (= (tptp.r4_tsep_1 A B C) (not (and (not (tptp.m1_pre_topc B C)) (not (tptp.m1_pre_topc C B)) (forall ((D $$unsorted)) (=> (and (not (tptp.v3_struct_0 D)) (tptp.v1_borsuk_1 D A) (tptp.m1_pre_topc D A)) (forall ((E $$unsorted)) (=> (and (not (tptp.v3_struct_0 E)) (tptp.v1_borsuk_1 E A) (tptp.m1_pre_topc E A)) (not (and (tptp.m1_pre_topc D B) (tptp.m1_pre_topc E C) (not (and (not (= A (tptp.k1_tsep_1 A D E))) (forall ((F $$unsorted)) (=> (and (not (tptp.v3_struct_0 F)) (tptp.v1_tsep_1 F A) (tptp.m1_pre_topc F A)) (not (and (= A (tptp.k1_tsep_1 A (tptp.k1_tsep_1 A D E) F)) (tptp.m1_pre_topc F (tptp.k2_tsep_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 $$unsorted)) (let ((_let_1 (tptp.m1_pre_topc C A))) (=> (and (not (tptp.v3_struct_0 C)) _let_1) (=> (and (= A (tptp.k1_tsep_1 A B C)) (tptp.r1_tsep_1 A B C)) (= (tptp.r4_tsep_1 A B C) (and (tptp.v1_borsuk_1 B A) (tptp.m1_pre_topc B A) (tptp.v1_borsuk_1 C A) _let_1)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.m1_pre_topc B A)) (forall ((C $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.m1_pre_topc C A)) (=> (not (tptp.r1_tsep_1 A B C)) (= (tptp.r4_tsep_1 A B C) (not (and (not (tptp.m1_pre_topc B C)) (not (tptp.m1_pre_topc C B)) (forall ((D $$unsorted)) (=> (and (not (tptp.v3_struct_0 D)) (tptp.v1_tsep_1 D A) (tptp.m1_pre_topc D A)) (forall ((E $$unsorted)) (let ((_let_1 (tptp.k1_tsep_1 A B C))) (=> (and (not (tptp.v3_struct_0 E)) (tptp.v1_tsep_1 E A) (tptp.m1_pre_topc E A)) (not (and (tptp.m1_pre_topc (tptp.k2_tsep_1 A D _let_1) B) (tptp.m1_pre_topc (tptp.k2_tsep_1 A E _let_1) C) (not (and (not (tptp.m1_pre_topc _let_1 (tptp.k1_tsep_1 A D E))) (forall ((F $$unsorted)) (=> (and (not (tptp.v3_struct_0 F)) (tptp.v1_borsuk_1 F A) (tptp.m1_pre_topc F A)) (not (and (= (tptp.g1_pre_topc (tptp.u1_struct_0 A) (tptp.u1_pre_topc A)) (tptp.k1_tsep_1 A (tptp.k1_tsep_1 A D E) F)) (tptp.m1_pre_topc (tptp.k2_tsep_1 A F (tptp.k1_tsep_1 A B C)) (tptp.k2_tsep_1 A B C))))))))))))))))))))))))) (forall ((A $$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.v3_struct_0 C)) (tptp.m1_pre_topc C A)) (=> (= A (tptp.k1_tsep_1 A B C)) (or (tptp.r1_tsep_1 A B C) (= (tptp.r4_tsep_1 A B C) (not (and (not (tptp.m1_pre_topc B C)) (not (tptp.m1_pre_topc C B)) (forall ((D $$unsorted)) (=> (and (not (tptp.v3_struct_0 D)) (tptp.v1_tsep_1 D A) (tptp.m1_pre_topc D A)) (forall ((E $$unsorted)) (=> (and (not (tptp.v3_struct_0 E)) (tptp.v1_tsep_1 E A) (tptp.m1_pre_topc E A)) (not (and (tptp.m1_pre_topc D B) (tptp.m1_pre_topc E C) (not (and (not (= A (tptp.k1_tsep_1 A D E))) (forall ((F $$unsorted)) (=> (and (not (tptp.v3_struct_0 F)) (tptp.v1_borsuk_1 F A) (tptp.m1_pre_topc F A)) (not (and (= A (tptp.k1_tsep_1 A (tptp.k1_tsep_1 A D E) F)) (tptp.m1_pre_topc F (tptp.k2_tsep_1 A B C))))))))))))))))))))))))) (forall ((A $$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)) (let ((_let_1 (tptp.m1_pre_topc C A))) (=> (and (not (tptp.v3_struct_0 C)) _let_1) (=> (and (= A (tptp.k1_tsep_1 A B C)) (tptp.r1_tsep_1 A B C)) (= (tptp.r4_tsep_1 A B C) (and (tptp.v1_tsep_1 B A) (tptp.m1_pre_topc B A) (tptp.v1_tsep_1 C A) _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.m1_pre_topc B A)) (forall ((C $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.m1_pre_topc C A)) (= (tptp.r3_tsep_1 A B C) (exists ((D $$unsorted)) (and (not (tptp.v3_struct_0 D)) (tptp.m1_pre_topc D A) (exists ((E $$unsorted)) (and (not (tptp.v3_struct_0 E)) (tptp.m1_pre_topc E A) (tptp.r4_tsep_1 A D E) (tptp.m1_pre_topc B D) (tptp.m1_pre_topc C E) (or (tptp.r1_tsep_1 A D E) (tptp.r1_tsep_1 A (tptp.k2_tsep_1 A D E) (tptp.k1_tsep_1 A B C)))))))))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.l1_pre_topc A) (tptp.m1_pre_topc B A) (tptp.m1_pre_topc C A)) (=> (tptp.r1_tsep_1 A B C) (tptp.r1_tsep_1 A C B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (=> (and (tptp.l1_pre_topc A) (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (=> (tptp.r2_tsep_1 A B C) (tptp.r2_tsep_1 A C B))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.l1_pre_topc A) (tptp.m1_pre_topc B A) (tptp.m1_pre_topc C A)) (=> (tptp.r3_tsep_1 A B C) (tptp.r3_tsep_1 A C B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.l1_pre_topc A) (tptp.m1_pre_topc B A) (tptp.m1_pre_topc C A)) (=> (tptp.r4_tsep_1 A B C) (tptp.r4_tsep_1 A C B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k1_tsep_1 A B C))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_pre_topc A) (not (tptp.v3_struct_0 B)) (tptp.m1_pre_topc B A) (not (tptp.v3_struct_0 C)) (tptp.m1_pre_topc C A)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v1_pre_topc _let_1) (tptp.m1_pre_topc _let_1 A))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_pre_topc A) (not (tptp.v3_struct_0 B)) (tptp.m1_pre_topc B A) (not (tptp.v3_struct_0 C)) (tptp.m1_pre_topc C A)) (= (tptp.k1_tsep_1 A B C) (tptp.k1_tsep_1 A C B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k2_tsep_1 A B C))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_pre_topc A) (not (tptp.v3_struct_0 B)) (tptp.m1_pre_topc B A) (not (tptp.v3_struct_0 C)) (tptp.m1_pre_topc C A)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v1_pre_topc _let_1) (tptp.m1_pre_topc _let_1 A))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k1_lattice3 A))) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v3_lattices _let_1)))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k1_lattice3 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 $$unsorted)) (let ((_let_1 (tptp.k1_lattice3 A))) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v3_lattices _let_1) (tptp.v4_lattices _let_1) (tptp.v5_lattices _let_1) (tptp.v6_lattices _let_1) (tptp.v7_lattices _let_1) (tptp.v8_lattices _let_1) (tptp.v9_lattices _let_1) (tptp.v10_lattices _let_1) (tptp.v11_lattices _let_1) (tptp.v12_lattices _let_1) (tptp.v13_lattices _let_1) (tptp.v14_lattices _let_1) (tptp.v15_lattices _let_1) (tptp.v16_lattices _let_1) (tptp.v17_lattices _let_1)))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k3_lattice3 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.v1_orders_2 _let_1) (tptp.v2_orders_2 _let_1) (tptp.v3_orders_2 _let_1) (tptp.v4_orders_2 _let_1))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k7_lattice3 A))) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.l1_orders_2 A)) (and (tptp.v1_orders_2 _let_1) (tptp.v2_orders_2 _let_1) (tptp.v3_orders_2 _let_1) (tptp.v4_orders_2 _let_1))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k7_lattice3 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v1_orders_2 _let_1))))) (forall ((A $$unsorted)) (=> (tptp.l1_orders_2 A) (=> (tptp.v1_lattice3 A) (not (tptp.v3_struct_0 A))))) (forall ((A $$unsorted)) (=> (tptp.l1_orders_2 A) (=> (tptp.v2_lattice3 A) (not (tptp.v3_struct_0 A))))) (exists ((A $$unsorted)) (and (tptp.l1_orders_2 A) (not (tptp.v3_struct_0 A)) (tptp.v1_orders_2 A) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v3_lattice3 A))) (exists ((A $$unsorted)) (and (tptp.l1_orders_2 A) (not (tptp.v3_struct_0 A)) (tptp.v1_orders_2 A) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_lattice3 A))) (exists ((A $$unsorted)) (and (tptp.l3_lattices A) (not (tptp.v3_struct_0 A)) (tptp.v3_lattices A) (tptp.v4_lattices A) (tptp.v5_lattices A) (tptp.v6_lattices A) (tptp.v7_lattices A) (tptp.v8_lattices A) (tptp.v9_lattices A) (tptp.v10_lattices A) (tptp.v4_lattice3 A) (tptp.v5_lattice3 A) (tptp.v6_lattice3 A))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k14_lattice3 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v3_lattice3 A) (tptp.l1_orders_2 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) (tptp.v4_lattice3 _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v3_lattices B) (tptp.l3_lattices B)) (= (= B (tptp.k1_lattice3 A)) (and (= (tptp.u1_struct_0 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.k1_binop_1 (tptp.u2_lattices B) C D) (tptp.k4_subset_1 A C D)) (= (tptp.k1_binop_1 (tptp.u1_lattices B) C D) (tptp.k5_subset_1 A C D))))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 (tptp.k1_lattice3 A))) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k1_lattice3 A))) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 _let_1)) (and (= (tptp.k1_lattices _let_1 B C) (tptp.k2_xboole_0 B C)) (= (tptp.k2_lattices _let_1 B C) (tptp.k3_xboole_0 B C)))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 (tptp.k1_lattice3 A))) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k1_lattice3 A))) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 _let_1)) (= (tptp.r1_lattices _let_1 B C) (tptp.r1_tarski B C))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k1_lattice3 A))) (and (tptp.v13_lattices _let_1) (= (tptp.k5_lattices _let_1) tptp.k1_xboole_0)))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k1_lattice3 A))) (and (tptp.v14_lattices _let_1) (= (tptp.k6_lattices _let_1) A)))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k1_lattice3 A))) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 _let_1)) (= (tptp.k7_lattices _let_1 B) (tptp.k4_xboole_0 A B))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (= (tptp.k3_lattice3 A) (tptp.g1_orders_2 (tptp.u1_struct_0 A) (tptp.k2_lattice3 A))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v10_lattices B) (tptp.l3_lattices B)) (=> (= (tptp.k3_lattice3 A) (tptp.k3_lattice3 B)) (= (tptp.g3_lattices (tptp.u1_struct_0 A) (tptp.u2_lattices A) (tptp.u1_lattices A)) (tptp.g3_lattices (tptp.u1_struct_0 B) (tptp.u2_lattices B) (tptp.u1_lattices B)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (= (tptp.k4_lattice3 A B) B))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 (tptp.k3_lattice3 A))) (= (tptp.k5_lattice3 A B) B))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (tptp.r3_lattices A B C) (tptp.r3_orders_2 (tptp.k3_lattice3 A) (tptp.k4_lattice3 A B) (tptp.k4_lattice3 A C))))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.l1_orders_2 A) (= (tptp.k7_lattice3 A) (tptp.g1_orders_2 _let_1 (tptp.k6_relset_1 _let_1 _let_1 (tptp.u1_orders_2 A))))))) (forall ((A $$unsorted)) (=> (tptp.l1_orders_2 A) (= (tptp.k7_lattice3 (tptp.k7_lattice3 A)) (tptp.g1_orders_2 (tptp.u1_struct_0 A) (tptp.u1_orders_2 A))))) (forall ((A $$unsorted)) (=> (tptp.l1_orders_2 A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (= (tptp.k8_lattice3 A B) B))))) (forall ((A $$unsorted)) (=> (tptp.l1_orders_2 A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 (tptp.k7_lattice3 A))) (= (tptp.k9_lattice3 A B) B))))) (forall ((A $$unsorted)) (=> (tptp.l1_orders_2 A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (tptp.r1_orders_2 A B C) (tptp.r1_orders_2 (tptp.k7_lattice3 A) (tptp.k8_lattice3 A C) (tptp.k8_lattice3 A B))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_orders_2 A) (forall ((B $$unsorted) (C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (tptp.r1_lattice3 A B C) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (=> (tptp.r2_hidden D B) (tptp.r1_orders_2 A C D))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_orders_2 A) (forall ((B $$unsorted) (C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (tptp.r2_lattice3 A B C) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (=> (tptp.r2_hidden D B) (tptp.r1_orders_2 A D C))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_orders_2 A) (= (tptp.v1_lattice3 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 $$unsorted)) (and (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (tptp.r1_orders_2 A B D) (tptp.r1_orders_2 A C D) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.u1_struct_0 A)) (=> (and (tptp.r1_orders_2 A B E) (tptp.r1_orders_2 A C E)) (tptp.r1_orders_2 A D E))))))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_orders_2 A) (= (tptp.v2_lattice3 A) (forall ((B $$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_orders_2 A D B) (tptp.r1_orders_2 A D C) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.u1_struct_0 A)) (=> (and (tptp.r1_orders_2 A E B) (tptp.r1_orders_2 A E C)) (tptp.r1_orders_2 A E D))))))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_orders_2 A) (= (tptp.v1_lattice3 A) (tptp.v2_lattice3 (tptp.k7_lattice3 A))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k3_lattice3 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (and (tptp.v1_lattice3 _let_1) (tptp.v2_lattice3 _let_1))))) (forall ((A $$unsorted)) (=> (tptp.l1_orders_2 A) (= (tptp.v3_lattice3 A) (forall ((B $$unsorted)) (exists ((C $$unsorted)) (and (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (tptp.r2_lattice3 A B C) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (=> (tptp.r2_lattice3 A B D) (tptp.r1_orders_2 A C D)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (=> (tptp.v3_lattice3 A) (and (tptp.v1_lattice3 A) (tptp.v2_lattice3 A))))) (forall ((A $$unsorted)) (=> (tptp.l1_orders_2 A) (=> (tptp.v4_orders_2 A) (forall ((B $$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_orders_2 A B D) (tptp.r1_orders_2 A C D) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.u1_struct_0 A)) (=> (and (tptp.r1_orders_2 A B E) (tptp.r1_orders_2 A C E)) (tptp.r1_orders_2 A D E)))))) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (= (= D (tptp.k10_lattice3 A B C)) (and (tptp.r1_orders_2 A B D) (tptp.r1_orders_2 A C D) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.u1_struct_0 A)) (=> (and (tptp.r1_orders_2 A B E) (tptp.r1_orders_2 A C E)) (tptp.r1_orders_2 A D E)))))))))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_orders_2 A) (=> (tptp.v4_orders_2 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 $$unsorted)) (and (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (tptp.r1_orders_2 A D B) (tptp.r1_orders_2 A D C) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.u1_struct_0 A)) (=> (and (tptp.r1_orders_2 A E B) (tptp.r1_orders_2 A E C)) (tptp.r1_orders_2 A E D)))))) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (= (= D (tptp.k11_lattice3 A B C)) (and (tptp.r1_orders_2 A D B) (tptp.r1_orders_2 A D C) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.u1_struct_0 A)) (=> (and (tptp.r1_orders_2 A E B) (tptp.r1_orders_2 A E C)) (tptp.r1_orders_2 A E D)))))))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (tptp.k10_lattice3 A B C) (tptp.k10_lattice3 A C B)))))))) (forall ((A $$unsorted)) (=> (and (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.l1_orders_2 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 $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (=> (tptp.v3_orders_2 A) (= (tptp.k10_lattice3 A (tptp.k10_lattice3 A B C) D) (tptp.k10_lattice3 A B (tptp.k10_lattice3 A C D)))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v4_orders_2 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 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.k11_lattice3 A B C) (tptp.k11_lattice3 A C B)))))))) (forall ((A $$unsorted)) (=> (and (tptp.v4_orders_2 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$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.v3_orders_2 A) (= (tptp.k11_lattice3 A (tptp.k11_lattice3 A B C) D) (tptp.k11_lattice3 A B (tptp.k11_lattice3 A C D)))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (tptp.k13_lattice3 A (tptp.k12_lattice3 A B C) C) C))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 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.k12_lattice3 A B (tptp.k13_lattice3 A B C)) B))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 A)) (exists ((B $$unsorted)) (and (not (tptp.v3_struct_0 B)) (tptp.v3_lattices B) (tptp.v10_lattices B) (tptp.l3_lattices B) (= (tptp.g1_orders_2 (tptp.u1_struct_0 A) (tptp.u1_orders_2 A)) (tptp.k3_lattice3 B)))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.l1_orders_2 A))) (=> _let_1 (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) _let_1) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_lattices B) (tptp.v10_lattices B) (tptp.l3_lattices B)) (= (= B (tptp.k14_lattice3 A)) (= (tptp.g1_orders_2 (tptp.u1_struct_0 A) (tptp.u1_orders_2 A)) (tptp.k3_lattice3 B))))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k1_lattice2 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (and (= (tptp.k6_lattice3 (tptp.u1_struct_0 A) (tptp.k2_lattice3 A)) (tptp.k2_lattice3 _let_1)) (= (tptp.k7_lattice3 (tptp.k3_lattice3 A)) (tptp.k3_lattice3 _let_1)))))) (forall ((A $$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)) (= (tptp.r3_lattice3 A B C) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (=> (tptp.r2_hidden D C) (tptp.r1_lattices A B D)))))))))) (forall ((A $$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)) (= (tptp.r4_lattice3 A B C) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (=> (tptp.r2_hidden D C) (tptp.r1_lattices A D B)))))))))) (forall ((A $$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 $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (= (tptp.r3_lattice3 A B (tptp.k2_struct_0 A C D)) (tptp.r3_lattices A B (tptp.k4_lattices A C D))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (= (tptp.r4_lattice3 A B (tptp.k2_struct_0 A C D)) (tptp.r3_lattices A (tptp.k3_lattices A C D) B)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l3_lattices A)) (= (tptp.v4_lattice3 A) (forall ((B $$unsorted)) (exists ((C $$unsorted)) (and (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (tptp.r4_lattice3 A C B) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (=> (tptp.r4_lattice3 A D B) (tptp.r1_lattices A C D)))))))))) (forall ((A $$unsorted)) (tptp.v4_lattice3 (tptp.k1_lattice3 A))) (forall ((A $$unsorted)) (tptp.v5_lattice3 (tptp.k1_lattice3 A))) (forall ((A $$unsorted)) (tptp.v6_lattice3 (tptp.k1_lattice3 A))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v10_lattices B) (tptp.l3_lattices B)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 B)) (= (tptp.r3_lattice3 B C A) (tptp.r1_lattice3 (tptp.k3_lattice3 B) A (tptp.k4_lattice3 B C))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v10_lattices B) (tptp.l3_lattices B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k3_lattice3 B))) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 _let_1)) (= (tptp.r1_lattice3 _let_1 A C) (tptp.r3_lattice3 B (tptp.k5_lattice3 B C) A))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v10_lattices B) (tptp.l3_lattices B)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 B)) (= (tptp.r4_lattice3 B C A) (tptp.r2_lattice3 (tptp.k3_lattice3 B) A (tptp.k4_lattice3 B C))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v10_lattices B) (tptp.l3_lattices B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k3_lattice3 B))) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 _let_1)) (= (tptp.r2_lattice3 _let_1 A C) (tptp.r4_lattice3 B (tptp.k5_lattice3 B C) A))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.l3_lattices A))) (let ((_let_2 (not (tptp.v3_struct_0 A)))) (=> (and _let_2 _let_1) (=> (and _let_2 (tptp.v10_lattices A) (tptp.v4_lattice3 A) _let_1) (forall ((B $$unsorted) (C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (= C (tptp.k15_lattice3 A B)) (and (tptp.r4_lattice3 A C B) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (=> (tptp.r4_lattice3 A D B) (tptp.r1_lattices A C D))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v4_lattice3 A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (= (= B (tptp.k16_lattice3 A C)) (and (tptp.r3_lattice3 A B C) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (=> (tptp.r3_lattice3 A D C) (tptp.r3_lattices A D B))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v4_lattice3 A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.r2_hidden B C) (and (tptp.r3_lattices A B (tptp.k15_lattice3 A C)) (tptp.r3_lattices A (tptp.k16_lattice3 A C) B)))))))) true (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v4_lattice3 A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.r3_lattice3 A B C) (tptp.r3_lattices A B (tptp.k16_lattice3 A C)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v4_lattice3 A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (and (tptp.r2_hidden B C) (tptp.r4_lattice3 A B C)) (= (tptp.k15_lattice3 A C) B))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v4_lattice3 A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (and (tptp.r2_hidden B C) (tptp.r3_lattice3 A B C)) (= (tptp.k16_lattice3 A C) B))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v4_lattice3 A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k1_struct_0 A B))) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (and (= (tptp.k15_lattice3 A _let_1) B) (= (tptp.k16_lattice3 A _let_1) B))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v4_lattice3 A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k2_struct_0 A B C))) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (and (= (tptp.k3_lattices A B C) (tptp.k15_lattice3 A _let_1)) (= (tptp.k4_lattices A B C) (tptp.k16_lattice3 A _let_1)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v4_lattice3 A) (tptp.l3_lattices A)) (forall ((B $$unsorted) (C $$unsorted)) (=> (tptp.r1_tarski B C) (and (tptp.r3_lattices A (tptp.k15_lattice3 A B) (tptp.k15_lattice3 A C)) (tptp.r3_lattices A (tptp.k16_lattice3 A C) (tptp.k16_lattice3 A B))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v4_lattice3 A) (tptp.l3_lattices A)) (forall ((B $$unsorted) (C $$unsorted)) (=> (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (not (and (tptp.r2_hidden D B) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.u1_struct_0 A)) (not (and (tptp.r3_lattices A D E) (tptp.r2_hidden E C))))))))) (tptp.r3_lattices A (tptp.k15_lattice3 A B) (tptp.k15_lattice3 A C)))))) (forall ((A $$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.v4_lattice3 A) _let_1) (and _let_3 _let_2 (tptp.v13_lattices A) _let_1 (= (tptp.k5_lattices A) (tptp.k15_lattice3 A tptp.k1_xboole_0)))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.l3_lattices A))) (let ((_let_2 (tptp.v10_lattices A))) (let ((_let_3 (not (tptp.v3_struct_0 A)))) (=> (and _let_3 _let_2 (tptp.v4_lattice3 A) _let_1) (and _let_3 _let_2 (tptp.v14_lattices A) _let_1 (= (tptp.k6_lattices A) (tptp.k15_lattice3 A (tptp.u1_struct_0 A))))))))) (forall ((A $$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.v4_lattice3 A) _let_1) (=> (and _let_3 _let_2 (tptp.v3_filter_0 A) _let_1) (tptp.v5_lattice3 A))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 A))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_1 A) (tptp.m2_relset_1 B _let_1 A)) (not (and (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C A) (= (tptp.k8_funct_2 (tptp.k1_zfmisc_1 A) A B (tptp.k6_domain_1 A C)) C))) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 A))) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 _let_1)) (= (tptp.k8_funct_2 _let_1 A B (tptp.k10_relset_1 _let_1 A B C)) (tptp.k1_funct_1 B (tptp.k3_tarski C)))))) (forall ((C $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.v3_lattices C) (tptp.v10_lattices C) (tptp.v4_lattice3 C) (tptp.l3_lattices C)) (not (and (= (tptp.u1_struct_0 C) A) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 C))) (= (tptp.k15_lattice3 C D) (tptp.k1_funct_1 B D))))))))))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k1_lattice3 A))) (and (tptp.v3_lattices _let_1) (tptp.l3_lattices _let_1)))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.k2_lattice3 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (and (tptp.v1_relat_2 _let_2) (tptp.v4_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 $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (= (tptp.k2_lattice3 A) (tptp.k9_filter_1 A)))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k3_lattice3 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (and (tptp.v1_orders_2 _let_1) (tptp.v2_orders_2 _let_1) (tptp.v3_orders_2 _let_1) (tptp.v4_orders_2 _let_1) (tptp.l1_orders_2 _let_1))))) (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_subset_1 (tptp.k4_lattice3 A B) (tptp.u1_struct_0 (tptp.k3_lattice3 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 (tptp.k3_lattice3 A)))) (tptp.m1_subset_1 (tptp.k5_lattice3 A B) (tptp.u1_struct_0 A)))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k6_lattice3 A B))) (=> (and (tptp.v1_relat_2 B) (tptp.v4_relat_2 B) (tptp.v8_relat_2 B) (tptp.v1_partfun1 B A A) (tptp.m1_relset_1 B A A)) (and (tptp.v1_relat_2 _let_1) (tptp.v4_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)) (=> (and (tptp.v1_relat_2 B) (tptp.v4_relat_2 B) (tptp.v8_relat_2 B) (tptp.v1_partfun1 B A A) (tptp.m1_relset_1 B A A)) (= (tptp.k6_lattice3 A (tptp.k6_lattice3 A B)) B))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_relat_2 B) (tptp.v4_relat_2 B) (tptp.v8_relat_2 B) (tptp.v1_partfun1 B A A) (tptp.m1_relset_1 B A A)) (= (tptp.k6_lattice3 A B) (tptp.k4_relat_1 B)))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k7_lattice3 A))) (=> (tptp.l1_orders_2 A) (and (tptp.v1_orders_2 _let_1) (tptp.l1_orders_2 _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.l1_orders_2 A) (tptp.m1_subset_1 B (tptp.u1_struct_0 A))) (tptp.m1_subset_1 (tptp.k8_lattice3 A B) (tptp.u1_struct_0 (tptp.k7_lattice3 A))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.l1_orders_2 A) (tptp.m1_subset_1 B (tptp.u1_struct_0 (tptp.k7_lattice3 A)))) (tptp.m1_subset_1 (tptp.k9_lattice3 A B) (tptp.u1_struct_0 A)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (tptp.l1_orders_2 A) (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (tptp.m1_subset_1 (tptp.k10_lattice3 A B C) _let_1)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (tptp.l1_orders_2 A) (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (tptp.m1_subset_1 (tptp.k11_lattice3 A B C) _let_1)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (tptp.v4_orders_2 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 A) (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (tptp.m1_subset_1 (tptp.k12_lattice3 A B C) _let_1)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (tptp.v4_orders_2 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 A) (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (= (tptp.k12_lattice3 A B C) (tptp.k12_lattice3 A C B))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (tptp.v4_orders_2 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 A) (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (= (tptp.k12_lattice3 A B C) (tptp.k11_lattice3 A B C))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.l1_orders_2 A) (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (tptp.m1_subset_1 (tptp.k13_lattice3 A B C) _let_1)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.l1_orders_2 A) (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (= (tptp.k13_lattice3 A B C) (tptp.k13_lattice3 A C B))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.l1_orders_2 A) (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (= (tptp.k13_lattice3 A B C) (tptp.k10_lattice3 A B C))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k14_lattice3 A))) (=> (tptp.l1_orders_2 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)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l3_lattices A)) (tptp.m1_subset_1 (tptp.k15_lattice3 A B) (tptp.u1_struct_0 A)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l3_lattices A)) (tptp.m1_subset_1 (tptp.k16_lattice3 A B) (tptp.u1_struct_0 A)))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l3_lattices A)) (= (tptp.v5_lattice3 A) (forall ((B $$unsorted) (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 $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.u1_struct_0 A)) (=> (and (tptp.r4_lattice3 A C B) (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F (tptp.u1_struct_0 A)) (=> (tptp.r4_lattice3 A F B) (tptp.r1_lattices A C F)))) (tptp.r4_lattice3 A E (tptp.a_3_0_lattice3 A B D)) (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F (tptp.u1_struct_0 A)) (=> (tptp.r4_lattice3 A F (tptp.a_3_0_lattice3 A B D)) (tptp.r1_lattices A E F))))) (tptp.r1_lattices A (tptp.k2_lattices A D C) E))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l3_lattices A)) (= (tptp.v6_lattice3 A) (forall ((B $$unsorted) (C $$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.r3_lattice3 A C B) (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F (tptp.u1_struct_0 A)) (=> (tptp.r3_lattice3 A F B) (tptp.r1_lattices A F C)))) (tptp.r3_lattice3 A E (tptp.a_3_1_lattice3 A B D)) (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F (tptp.u1_struct_0 A)) (=> (tptp.r3_lattice3 A F (tptp.a_3_1_lattice3 A B D)) (tptp.r1_lattices A F E))))) (tptp.r1_lattices A E (tptp.k1_lattices A D C)))))))))))) (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 $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 B)) (= (tptp.r4_lattice3 B C A) (tptp.r3_lattice3 B (tptp.k7_lattices B C) (tptp.a_2_0_lattice3 A B))))))) (forall ((A $$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)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 B)) (= (tptp.r3_lattice3 B C A) (tptp.r4_lattice3 B (tptp.k7_lattices B C) (tptp.a_2_0_lattice3 A B))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (= (tptp.k16_lattice3 A B) (tptp.k15_lattice3 A (tptp.a_2_1_lattice3 A B)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v4_lattice3 A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (tptp.r3_lattices A (tptp.k15_lattice3 A (tptp.a_3_2_lattice3 A B C)) (tptp.k4_lattices A B (tptp.k15_lattice3 A C)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v4_lattice3 A) (tptp.l3_lattices A)) (= (tptp.v5_lattice3 A) (forall ((B $$unsorted) (C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (tptp.r3_lattices A (tptp.k4_lattices A C (tptp.k15_lattice3 A B)) (tptp.k15_lattice3 A (tptp.a_3_3_lattice3 A B C)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v4_lattice3 A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (tptp.r3_lattices A (tptp.k3_lattices A B (tptp.k16_lattice3 A C)) (tptp.k16_lattice3 A (tptp.a_3_4_lattice3 A B C)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v4_lattice3 A) (tptp.l3_lattices A)) (= (tptp.v6_lattice3 A) (forall ((B $$unsorted) (C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (tptp.r3_lattices A (tptp.k16_lattice3 A (tptp.a_3_5_lattice3 A B C)) (tptp.k3_lattices A C (tptp.k16_lattice3 A B)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v4_lattice3 A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (= (tptp.k15_lattice3 A B) (tptp.k16_lattice3 A (tptp.a_2_2_lattice3 A B)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v4_lattice3 A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (and (= B (tptp.k15_lattice3 A (tptp.a_2_3_lattice3 A B))) (= B (tptp.k16_lattice3 A (tptp.a_2_4_lattice3 A B)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v4_lattice3 A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (and (= (tptp.k15_lattice3 A B) (tptp.k15_lattice3 A (tptp.a_2_5_lattice3 A B))) (= (tptp.k16_lattice3 A B) (tptp.k16_lattice3 A (tptp.a_2_6_lattice3 A B))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v4_lattice3 A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.r1_tarski B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (tptp.k15_lattice3 A (tptp.k3_tarski B)) (tptp.k15_lattice3 A (tptp.a_2_7_lattice3 A B))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v4_lattice3 A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v3_filter_0 A) (tptp.l3_lattices A)) (= (tptp.k4_filter_0 A B C) (tptp.k15_lattice3 A (tptp.a_3_6_lattice3 A B C)))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v10_lattices B) (tptp.v4_lattice3 B) (tptp.v5_lattice3 B) (tptp.l3_lattices B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k15_lattice3 B A))) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 B)) (and (= (tptp.k4_lattices B C _let_1) (tptp.k15_lattice3 B (tptp.a_3_7_lattice3 A B C))) (= (tptp.k4_lattices B _let_1 C) (tptp.k15_lattice3 B (tptp.a_3_8_lattice3 A B C))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v10_lattices B) (tptp.v4_lattice3 B) (tptp.v6_lattice3 B) (tptp.l3_lattices B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k16_lattice3 B A))) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 B)) (and (= (tptp.k3_lattices B C _let_1) (tptp.k16_lattice3 B (tptp.a_3_9_lattice3 A B C))) (= (tptp.k3_lattices B _let_1 C) (tptp.k16_lattice3 B (tptp.a_3_10_lattice3 A B C))))))))) (=> (exists ((A $$unsorted)) (and (tptp.m1_subset_1 A tptp.f2_s1_lattice3) (tptp.p1_s1_lattice3 A))) (= tptp.a_0_0_lattice3 (tptp.k1_tarski tptp.f1_s1_lattice3))) (=> (tptp.r1_tarski tptp.f2_s2_lattice3 (tptp.k1_relat_1 tptp.f4_s2_lattice3)) (= (tptp.k9_relat_1 tptp.f4_s2_lattice3 tptp.a_0_1_lattice3) tptp.a_0_2_lattice3)) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.l3_lattices B) (tptp.m1_subset_1 D (tptp.u1_struct_0 B))) (= (tptp.r2_hidden A (tptp.a_3_0_lattice3 B C D)) (exists ((E $$unsorted)) (and (tptp.m1_subset_1 E (tptp.u1_struct_0 B)) (= A (tptp.k2_lattices B D E)) (tptp.r2_hidden E C)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.l3_lattices B) (tptp.m1_subset_1 D (tptp.u1_struct_0 B))) (= (tptp.r2_hidden A (tptp.a_3_1_lattice3 B C D)) (exists ((E $$unsorted)) (and (tptp.m1_subset_1 E (tptp.u1_struct_0 B)) (= A (tptp.k1_lattices B D E)) (tptp.r2_hidden E C)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.v10_lattices C) (tptp.v17_lattices C) (tptp.l3_lattices C)) (= (tptp.r2_hidden A (tptp.a_2_0_lattice3 B C)) (exists ((D $$unsorted)) (and (tptp.m1_subset_1 D (tptp.u1_struct_0 C)) (= A (tptp.k7_lattices C D)) (tptp.r2_hidden D B)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.l3_lattices B)) (= (tptp.r2_hidden A (tptp.a_2_1_lattice3 B C)) (exists ((D $$unsorted)) (and (tptp.m1_subset_1 D (tptp.u1_struct_0 B)) (= A D) (tptp.r3_lattice3 B D C)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v10_lattices B) (tptp.v4_lattice3 B) (tptp.l3_lattices B) (tptp.m1_subset_1 C (tptp.u1_struct_0 B))) (= (tptp.r2_hidden A (tptp.a_3_2_lattice3 B C D)) (exists ((E $$unsorted)) (and (tptp.m1_subset_1 E (tptp.u1_struct_0 B)) (= A (tptp.k4_lattices B C E)) (tptp.r2_hidden E D)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v10_lattices B) (tptp.v4_lattice3 B) (tptp.l3_lattices B) (tptp.m1_subset_1 D (tptp.u1_struct_0 B))) (= (tptp.r2_hidden A (tptp.a_3_3_lattice3 B C D)) (exists ((E $$unsorted)) (and (tptp.m1_subset_1 E (tptp.u1_struct_0 B)) (= A (tptp.k4_lattices B D E)) (tptp.r2_hidden E C)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v10_lattices B) (tptp.v4_lattice3 B) (tptp.l3_lattices B) (tptp.m1_subset_1 C (tptp.u1_struct_0 B))) (= (tptp.r2_hidden A (tptp.a_3_4_lattice3 B C D)) (exists ((E $$unsorted)) (and (tptp.m1_subset_1 E (tptp.u1_struct_0 B)) (= A (tptp.k3_lattices B C E)) (tptp.r2_hidden E D)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v10_lattices B) (tptp.v4_lattice3 B) (tptp.l3_lattices B) (tptp.m1_subset_1 D (tptp.u1_struct_0 B))) (= (tptp.r2_hidden A (tptp.a_3_5_lattice3 B C D)) (exists ((E $$unsorted)) (and (tptp.m1_subset_1 E (tptp.u1_struct_0 B)) (= A (tptp.k3_lattices B D E)) (tptp.r2_hidden E C)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v10_lattices B) (tptp.v4_lattice3 B) (tptp.l3_lattices B)) (= (tptp.r2_hidden A (tptp.a_2_2_lattice3 B C)) (exists ((D $$unsorted)) (and (tptp.m1_subset_1 D (tptp.u1_struct_0 B)) (= A D) (tptp.r4_lattice3 B D C)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v10_lattices B) (tptp.v4_lattice3 B) (tptp.l3_lattices B) (tptp.m1_subset_1 C (tptp.u1_struct_0 B))) (= (tptp.r2_hidden A (tptp.a_2_3_lattice3 B C)) (exists ((D $$unsorted)) (and (tptp.m1_subset_1 D (tptp.u1_struct_0 B)) (= A D) (tptp.r3_lattices B D C)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v10_lattices B) (tptp.v4_lattice3 B) (tptp.l3_lattices B) (tptp.m1_subset_1 C (tptp.u1_struct_0 B))) (= (tptp.r2_hidden A (tptp.a_2_4_lattice3 B C)) (exists ((D $$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 $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v10_lattices B) (tptp.v4_lattice3 B) (tptp.l3_lattices B)) (= (tptp.r2_hidden A (tptp.a_2_5_lattice3 B C)) (exists ((D $$unsorted)) (and (tptp.m1_subset_1 D (tptp.u1_struct_0 B)) (= A D) (exists ((E $$unsorted)) (and (tptp.m1_subset_1 E (tptp.u1_struct_0 B)) (tptp.r3_lattices B D E) (tptp.r2_hidden E C)))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v10_lattices B) (tptp.v4_lattice3 B) (tptp.l3_lattices B)) (= (tptp.r2_hidden A (tptp.a_2_6_lattice3 B C)) (exists ((D $$unsorted)) (and (tptp.m1_subset_1 D (tptp.u1_struct_0 B)) (= A D) (exists ((E $$unsorted)) (and (tptp.m1_subset_1 E (tptp.u1_struct_0 B)) (tptp.r3_lattices B E D) (tptp.r2_hidden E C)))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v10_lattices B) (tptp.v4_lattice3 B) (tptp.l3_lattices B)) (= (tptp.r2_hidden A (tptp.a_2_7_lattice3 B C)) (exists ((D $$unsorted)) (and (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B))) (= A (tptp.k15_lattice3 B D)) (tptp.r2_hidden D C)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v10_lattices B) (tptp.v4_lattice3 B) (tptp.l3_lattices B) (tptp.m1_subset_1 C _let_1) (tptp.m1_subset_1 D _let_1)) (= (tptp.r2_hidden A (tptp.a_3_6_lattice3 B C D)) (exists ((E $$unsorted)) (and (tptp.m1_subset_1 E (tptp.u1_struct_0 B)) (= A E) (tptp.r3_lattices B (tptp.k4_lattices B C E) D))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.v10_lattices C) (tptp.v4_lattice3 C) (tptp.v5_lattice3 C) (tptp.l3_lattices C) (tptp.m1_subset_1 D (tptp.u1_struct_0 C))) (= (tptp.r2_hidden A (tptp.a_3_7_lattice3 B C D)) (exists ((E $$unsorted)) (and (tptp.m1_subset_1 E (tptp.u1_struct_0 C)) (= A (tptp.k4_lattices C D E)) (tptp.r2_hidden E B)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.v10_lattices C) (tptp.v4_lattice3 C) (tptp.v5_lattice3 C) (tptp.l3_lattices C) (tptp.m1_subset_1 D (tptp.u1_struct_0 C))) (= (tptp.r2_hidden A (tptp.a_3_8_lattice3 B C D)) (exists ((E $$unsorted)) (and (tptp.m1_subset_1 E (tptp.u1_struct_0 C)) (= A (tptp.k4_lattices C E D)) (tptp.r2_hidden E B)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.v10_lattices C) (tptp.v4_lattice3 C) (tptp.v6_lattice3 C) (tptp.l3_lattices C) (tptp.m1_subset_1 D (tptp.u1_struct_0 C))) (= (tptp.r2_hidden A (tptp.a_3_9_lattice3 B C D)) (exists ((E $$unsorted)) (and (tptp.m1_subset_1 E (tptp.u1_struct_0 C)) (= A (tptp.k3_lattices C D E)) (tptp.r2_hidden E B)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.v10_lattices C) (tptp.v4_lattice3 C) (tptp.v6_lattice3 C) (tptp.l3_lattices C) (tptp.m1_subset_1 D (tptp.u1_struct_0 C))) (= (tptp.r2_hidden A (tptp.a_3_10_lattice3 B C D)) (exists ((E $$unsorted)) (and (tptp.m1_subset_1 E (tptp.u1_struct_0 C)) (= A (tptp.k3_lattices C E D)) (tptp.r2_hidden E B)))))) (forall ((A $$unsorted)) (= (tptp.r2_hidden A tptp.a_0_0_lattice3) (exists ((B $$unsorted)) (and (tptp.m1_subset_1 B tptp.f2_s1_lattice3) (= A tptp.f1_s1_lattice3) (tptp.p1_s1_lattice3 B))))) (forall ((A $$unsorted)) (= (tptp.r2_hidden A tptp.a_0_1_lattice3) (exists ((B $$unsorted)) (and (tptp.m1_subset_1 B tptp.f1_s2_lattice3) (= A (tptp.f3_s2_lattice3 B)) (tptp.p1_s2_lattice3 B))))) (forall ((A $$unsorted)) (= (tptp.r2_hidden A tptp.a_0_2_lattice3) (exists ((B $$unsorted)) (and (tptp.m1_subset_1 B tptp.f1_s2_lattice3) (= A (tptp.k1_funct_1 tptp.f4_s2_lattice3 (tptp.f3_s2_lattice3 B))) (tptp.p1_s2_lattice3 B))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k10_group_5 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))))) true true 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)) (=> (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.m2_subset_1 D tptp.k1_numbers tptp.k5_numbers) (not (and (not (tptp.r1_xreal_0 (tptp.k7_group_1 A B) tptp.np__1)) (= B (tptp.k6_group_1 A D C)) (= D tptp.np__0))))))))))) true (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (tptp.r1_rlvect_1 (tptp.k5_group_4 A (tptp.k1_struct_0 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_group_2 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)) (=> (= C D) (= (tptp.k5_group_4 A (tptp.k1_struct_0 A C)) (tptp.k5_group_4 B (tptp.k1_struct_0 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)) (let ((_let_1 (tptp.k5_group_4 A (tptp.k1_struct_0 A B)))) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v3_group_1 _let_1) (tptp.v4_group_1 _let_1) (tptp.v1_gr_cy_1 _let_1) (tptp.l1_group_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)) (=> (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.v1_int_1 D) (= C (tptp.k6_group_1 A D B)))))) (= A (tptp.k5_group_4 A (tptp.k1_struct_0 A 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)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (=> (tptp.v6_group_1 A) (= (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (exists ((D $$unsorted)) (and (tptp.m2_subset_1 D tptp.k1_numbers tptp.k5_numbers) (= C (tptp.k6_group_1 A D B)))))) (= A (tptp.k5_group_4 A (tptp.k1_struct_0 A 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)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (=> (and (tptp.v6_group_1 A) (= A (tptp.k5_group_4 A (tptp.k1_struct_0 A B)))) (forall ((C $$unsorted)) (=> (and (tptp.v1_group_1 C) (tptp.m1_group_2 C A)) (exists ((D $$unsorted)) (and (tptp.m2_subset_1 D tptp.k1_numbers tptp.k5_numbers) (tptp.r1_group_2 A C (tptp.k5_group_4 A (tptp.k1_struct_0 A (tptp.k6_group_1 A D 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 $$unsorted)) (=> (tptp.m2_subset_1 C tptp.k1_numbers tptp.k5_numbers) (forall ((D $$unsorted)) (=> (tptp.m2_subset_1 D tptp.k1_numbers tptp.k5_numbers) (forall ((E $$unsorted)) (=> (tptp.m2_subset_1 E tptp.k1_numbers tptp.k5_numbers) (=> (and (tptp.v6_group_1 A) (= A (tptp.k5_group_4 A (tptp.k1_struct_0 A B))) (= (tptp.k9_group_1 A) C) (= C (tptp.k2_nat_1 D E))) (= (tptp.k7_group_1 A (tptp.k6_group_1 A D B)) E)))))))))))) (forall ((A $$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 $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m2_subset_1 C tptp.k1_numbers tptp.k5_numbers) (forall ((D $$unsorted)) (=> (tptp.m2_subset_1 D tptp.k1_numbers tptp.k5_numbers) (=> (tptp.r1_nat_1 C D) (tptp.r1_rlvect_1 (tptp.k5_group_4 A (tptp.k1_struct_0 A (tptp.k6_group_1 A C B))) (tptp.k6_group_1 A D B))))))))))) (forall ((A $$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.m2_subset_1 C tptp.k1_numbers tptp.k5_numbers) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k6_group_1 A D B))) (let ((_let_2 (tptp.k5_group_4 A (tptp.k1_struct_0 A _let_1)))) (let ((_let_3 (tptp.k5_group_4 A (tptp.k1_struct_0 A (tptp.k6_group_1 A C B))))) (=> (tptp.m2_subset_1 D tptp.k1_numbers tptp.k5_numbers) (=> (and (tptp.v6_group_1 A) (= (tptp.k9_group_1 _let_3) (tptp.k9_group_1 _let_2)) (tptp.r1_rlvect_1 _let_3 _let_1)) (tptp.r1_group_2 A _let_3 _let_2))))))))))))) (forall ((A $$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 $$unsorted)) (=> (tptp.m1_group_2 B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m2_subset_1 D tptp.k1_numbers tptp.k5_numbers) (forall ((E $$unsorted)) (=> (tptp.m2_subset_1 E tptp.k1_numbers tptp.k5_numbers) (forall ((F $$unsorted)) (=> (tptp.m2_subset_1 F tptp.k1_numbers tptp.k5_numbers) (=> (and (tptp.v6_group_1 A) (= (tptp.k9_group_1 A) D) (= A (tptp.k5_group_4 A (tptp.k1_struct_0 A C))) (= (tptp.k9_group_1 B) E) (= B (tptp.k5_group_4 A (tptp.k1_struct_0 A (tptp.k6_group_1 A F C))))) (tptp.r1_nat_1 D (tptp.k2_nat_1 F E))))))))))))))) (forall ((A $$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.v1_group_1 C) (tptp.v3_group_1 C) (tptp.v4_group_1 C) (tptp.l1_group_1 C)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 C)) (=> (and (tptp.v6_group_1 C) (= C (tptp.k5_group_4 C (tptp.k1_struct_0 C D))) (= (tptp.k9_group_1 C) A)) (= (= C (tptp.k5_group_4 C (tptp.k1_struct_0 C (tptp.k6_group_1 C B D)))) (= (tptp.k6_nat_1 B A) tptp.np__1))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.v1_gr_cy_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_group_2 B A) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 C _let_1) (=> (and (= A (tptp.k5_group_4 A (tptp.k1_struct_0 A C))) (tptp.r1_rlvect_1 B C)) (= (tptp.g1_group_1 _let_1 (tptp.u1_group_1 A)) (tptp.g1_group_1 (tptp.u1_struct_0 B) (tptp.u1_group_1 B))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.v1_gr_cy_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (=> (= A (tptp.k5_group_4 A (tptp.k1_struct_0 A B))) (= (tptp.v6_group_1 A) (exists ((C $$unsorted)) (and (tptp.v1_int_1 C) (exists ((D $$unsorted)) (and (tptp.v1_int_1 D) (not (= C D)) (= (tptp.k6_group_1 A C B) (tptp.k6_group_1 A D B)))))))))))) (forall ((A $$unsorted)) (=> (tptp.m2_subset_1 A tptp.k1_numbers tptp.k5_numbers) (=> (not (tptp.r1_xreal_0 A tptp.np__0)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 (tptp.k5_gr_cy_1 A))) (= (tptp.k1_gr_cy_2 A B) B)))))) (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.v1_group_1 B) (tptp.v3_group_1 B) (tptp.v4_group_1 B) (tptp.v1_gr_cy_1 B) (tptp.l1_group_1 B)) (=> (and (tptp.v6_group_1 B) (= (tptp.k9_group_1 B) A)) (tptp.r2_group_6 (tptp.k5_gr_cy_1 A) B)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v1_group_1 A) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.v1_gr_cy_1 A) (tptp.l1_group_1 A)) (=> (not (tptp.v6_group_1 A)) (tptp.r2_group_6 tptp.k3_gr_cy_1 A)))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v1_group_1 A) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.v1_gr_cy_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v1_group_1 B) (tptp.v3_group_1 B) (tptp.v4_group_1 B) (tptp.v1_gr_cy_1 B) (tptp.l1_group_1 B)) (=> (and (tptp.v6_group_1 B) (tptp.v6_group_1 A) (= (tptp.k9_group_1 B) (tptp.k9_group_1 A))) (tptp.r2_group_6 B A)))))) (forall ((A $$unsorted)) (=> (tptp.m2_subset_1 A tptp.k1_numbers tptp.k5_numbers) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v1_group_1 B) (tptp.v3_group_1 B) (tptp.v4_group_1 B) (tptp.l1_group_1 B)) (forall ((C $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.v1_group_1 C) (tptp.v3_group_1 C) (tptp.v4_group_1 C) (tptp.l1_group_1 C)) (=> (and (tptp.v6_group_1 B) (tptp.v6_group_1 C) (= (tptp.k9_group_1 B) A) (= (tptp.k9_group_1 C) A) (tptp.v1_int_2 A)) (tptp.r2_group_6 B 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.v6_group_1 A) (tptp.v6_group_1 B) (= (tptp.k9_group_1 A) tptp.np__2) (= (tptp.k9_group_1 B) tptp.np__2)) (tptp.r2_group_6 A B)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v1_group_1 A) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (=> (and (tptp.v6_group_1 A) (= (tptp.k9_group_1 A) tptp.np__2)) (forall ((B $$unsorted)) (=> (and (tptp.v1_group_1 B) (tptp.m1_group_2 B A)) (or (tptp.r1_group_2 A B (tptp.k5_group_2 A)) (= B A))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.l1_group_1 A))) (let ((_let_2 (tptp.v4_group_1 A))) (let ((_let_3 (tptp.v3_group_1 A))) (let ((_let_4 (not (tptp.v3_struct_0 A)))) (=> (and _let_4 (tptp.v1_group_1 A) _let_3 _let_2 _let_1) (=> (and (tptp.v6_group_1 A) (= (tptp.k9_group_1 A) tptp.np__2)) (and _let_4 _let_3 _let_2 (tptp.v1_gr_cy_1 A) _let_1)))))))) (forall ((A $$unsorted)) (=> (tptp.m2_subset_1 A tptp.k1_numbers tptp.k5_numbers) (forall ((B $$unsorted)) (let ((_let_1 (tptp.l1_group_1 B))) (let ((_let_2 (tptp.v4_group_1 B))) (let ((_let_3 (tptp.v3_group_1 B))) (let ((_let_4 (not (tptp.v3_struct_0 B)))) (=> (and _let_4 (tptp.v1_group_1 B) _let_3 _let_2 _let_1) (=> (and (tptp.v6_group_1 B) _let_4 _let_3 _let_2 (tptp.v1_gr_cy_1 B) _let_1 (= (tptp.k9_group_1 B) A)) (forall ((C $$unsorted)) (=> (tptp.m2_subset_1 C tptp.k1_numbers tptp.k5_numbers) (not (and (tptp.r1_nat_1 C A) (forall ((D $$unsorted)) (=> (and (tptp.v1_group_1 D) (tptp.m1_group_2 D B)) (not (and (= (tptp.k9_group_1 D) C) (forall ((E $$unsorted)) (=> (and (tptp.v1_group_1 E) (tptp.m1_group_2 E B)) (=> (= (tptp.k9_group_1 E) C) (tptp.r1_group_2 B E D))))))))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.v1_gr_cy_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (=> (= A (tptp.k5_group_4 A (tptp.k1_struct_0 A 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 C))) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D _let_2 _let_1) (tptp.v1_group_6 D C A) (tptp.m2_relset_1 D _let_2 _let_1)) (=> (tptp.r1_rlvect_1 (tptp.k13_group_6 C A D) B) (tptp.v3_group_6 D C 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.v1_group_1 B) (tptp.v3_group_1 B) (tptp.v4_group_1 B) (tptp.v1_gr_cy_1 B) (tptp.l1_group_1 B)) (not (and (tptp.v6_group_1 B) (= (tptp.k9_group_1 B) A) (exists ((C $$unsorted)) (and (tptp.m2_subset_1 C tptp.k1_numbers tptp.k5_numbers) (= A (tptp.k2_nat_1 tptp.np__2 C)))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 B)) (not (and (= (tptp.k7_group_1 B C) tptp.np__2) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 B)) (=> (= (tptp.k7_group_1 B D) tptp.np__2) (= C D)))))))))))))) (forall ((A $$unsorted)) (=> (tptp.m2_subset_1 A tptp.k1_numbers tptp.k5_numbers) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v1_group_1 B) (tptp.v3_group_1 B) (tptp.v4_group_1 B) (tptp.v1_gr_cy_1 B) (tptp.l1_group_1 B)) (not (and (tptp.v6_group_1 B) (= (tptp.k9_group_1 B) A) (exists ((C $$unsorted)) (and (tptp.m2_subset_1 C tptp.k1_numbers tptp.k5_numbers) (= A (tptp.k2_nat_1 tptp.np__2 C)))) (forall ((C $$unsorted)) (=> (tptp.m1_group_2 C B) (not (and (= (tptp.k9_group_1 C) tptp.np__2) (not (tptp.v3_struct_0 C)) (tptp.v3_group_1 C) (tptp.v4_group_1 C) (tptp.v1_gr_cy_1 C) (tptp.l1_group_1 C))))))))))) (forall ((A $$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 $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v1_group_1 B) (tptp.v3_group_1 B) (tptp.v4_group_1 B) (tptp.l1_group_1 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k13_group_6 B A C))) (let ((_let_2 (tptp.u1_struct_0 A))) (let ((_let_3 (tptp.u1_struct_0 B))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_3 _let_2) (tptp.v1_group_6 C B A) (tptp.m2_relset_1 C _let_3 _let_2)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_group_1 B) (tptp.v4_group_1 B) (tptp.v1_gr_cy_1 B) (tptp.l1_group_1 B)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v3_group_1 _let_1) (tptp.v4_group_1 _let_1) (tptp.v1_gr_cy_1 _let_1) (tptp.l1_group_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)) (let ((_let_1 (tptp.l1_group_1 B))) (let ((_let_2 (tptp.v1_gr_cy_1 B))) (let ((_let_3 (tptp.v4_group_1 B))) (let ((_let_4 (tptp.v3_group_1 B))) (let ((_let_5 (not (tptp.v3_struct_0 B)))) (let ((_let_6 (tptp.l1_group_1 A))) (let ((_let_7 (tptp.v1_gr_cy_1 A))) (let ((_let_8 (tptp.v4_group_1 A))) (let ((_let_9 (tptp.v3_group_1 A))) (let ((_let_10 (not (tptp.v3_struct_0 A)))) (=> (and _let_5 (tptp.v1_group_1 B) _let_4 _let_3 _let_1) (=> (tptp.r2_group_6 A B) (or (and (not (and _let_10 _let_9 _let_8 _let_7 _let_6)) (not (and _let_5 _let_4 _let_3 _let_2 _let_1))) (and _let_10 _let_9 _let_8 _let_7 _let_6 _let_5 _let_4 _let_3 _let_2 _let_1))))))))))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.m1_subset_1 A tptp.k5_numbers) (tptp.m1_subset_1 B (tptp.u1_struct_0 (tptp.k5_gr_cy_1 A)))) (tptp.m2_subset_1 (tptp.k1_gr_cy_2 A B) tptp.k1_numbers tptp.k5_numbers))) (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))) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D A _let_1) (tptp.m2_relset_1 D A _let_1)) (tptp.r4_nattra_1 A _let_1 A _let_1 (tptp.k2_cat_2 A B C (tptp.k1_isocat_2 A B C D)) 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)) (let ((_let_1 (tptp.k1_fraenkel B 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 $$unsorted)) (=> (tptp.m1_subset_1 E A) (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F B) (= (tptp.k1_funct_1 (tptp.k1_isocat_2 A B C D) (tptp.k4_tarski E F)) (tptp.k8_funct_2 B C (tptp.k1_cat_2 A B C (tptp.k1_fraenkel B C) D E) F))))))))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k1_tarski A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_1 B) (tptp.m2_relset_1 C _let_1 B)) (forall ((D $$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)) (=> (= (tptp.k1_funct_1 C A) (tptp.k1_funct_1 D A)) (tptp.r4_nattra_1 _let_1 B _let_1 B C D)))))))))) (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)) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D A B) (tptp.m2_relset_1 D A B)) (tptp.r2_hidden (tptp.k8_funct_2 A B D C) (tptp.k2_relat_1 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)) (let ((_let_1 (tptp.k2_zfmisc_1 B 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 $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 B C))) (let ((_let_2 (tptp.k10_funct_3 B C))) (let ((_let_3 (tptp.k9_funct_3 B C))) (=> (and (tptp.v1_funct_1 E) (tptp.v1_funct_2 E A _let_1) (tptp.m2_relset_1 E A _let_1)) (=> (and (tptp.r4_nattra_1 A B A B (tptp.k7_funct_2 A _let_1 B D _let_3) (tptp.k7_funct_2 A _let_1 B E _let_3)) (tptp.r4_nattra_1 A C A C (tptp.k7_funct_2 A _let_1 C D _let_2) (tptp.k7_funct_2 A _let_1 C E _let_2))) (tptp.r4_nattra_1 A _let_1 A _let_1 D E)))))))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u2_cat_1 A)) (= (tptp.k4_cat_1 A B (tptp.k10_cat_1 A (tptp.k3_cat_1 A B))) B))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u2_cat_1 A)) (= (tptp.k4_cat_1 A (tptp.k10_cat_1 A (tptp.k2_cat_1 A B)) B) B))))) (forall ((A $$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.m1_subset_1 C (tptp.u1_cat_1 (tptp.k12_nattra_1 A B))) (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 $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u2_cat_1 (tptp.k12_nattra_1 A B))) (exists ((D $$unsorted)) (and (tptp.m2_cat_1 D A B) (exists ((E $$unsorted)) (and (tptp.m2_cat_1 E A B) (exists ((F $$unsorted)) (let ((_let_1 (tptp.k12_nattra_1 A B))) (and (tptp.m2_nattra_1 F A B D E) (tptp.r2_nattra_1 A B D E) (= (tptp.k2_cat_1 _let_1 C) D) (= (tptp.k3_cat_1 _let_1 C) E) (= C (tptp.k4_tarski (tptp.k4_tarski D 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.m2_cat_1 D (tptp.k12_nattra_1 A B) B) (= (= D (tptp.k2_isocat_2 A B C)) (forall ((E $$unsorted)) (=> (tptp.m2_cat_1 E A B) (forall ((F $$unsorted)) (=> (tptp.m2_cat_1 F A B) (forall ((G $$unsorted)) (=> (tptp.m2_nattra_1 G A B E F) (=> (tptp.r2_nattra_1 A B E F) (= (tptp.k1_funct_1 D (tptp.k4_tarski (tptp.k4_tarski E F) G)) (tptp.k5_nattra_1 A B E F G C)))))))))))))))))) true (forall ((A $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A)) (forall ((B $$unsorted) (C $$unsorted)) (tptp.r1_isocat_1 (tptp.k12_nattra_1 (tptp.k8_cat_1 B C) 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 (tptp.k11_cat_2 A B) C) (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 B)) (= (tptp.k13_cat_1 B C (tptp.k14_cat_2 A B C D E) F) (tptp.k13_cat_1 (tptp.k11_cat_2 A B) 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 $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_cat_1 A)) (forall ((D $$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 (not (= (tptp.k6_cat_1 A C D) tptp.k1_xboole_0)) (not (= (tptp.k6_cat_1 B E F) tptp.k1_xboole_0))) (not (= (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.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 $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_cat_1 A)) (forall ((D $$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)) (=> (not (= (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.k1_xboole_0)) (forall ((G $$unsorted)) (=> (tptp.m1_subset_1 G (tptp.u2_cat_1 A)) (forall ((H $$unsorted)) (=> (tptp.m1_subset_1 H (tptp.u2_cat_1 B)) (= (tptp.m1_cat_1 (tptp.k13_cat_2 A B G H) (tptp.k11_cat_2 A B) (tptp.k12_cat_2 A B C E) (tptp.k12_cat_2 A B D F)) (and (tptp.m1_cat_1 G A C D) (tptp.m1_cat_1 H 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 $$unsorted)) (let ((_let_1 (tptp.k11_cat_2 A B))) (=> (tptp.m2_cat_1 E _let_1 C) (=> (tptp.r2_nattra_1 _let_1 C D E) (forall ((F $$unsorted)) (=> (tptp.m2_nattra_1 F (tptp.k11_cat_2 A B) C D E) (forall ((G $$unsorted)) (let ((_let_1 (tptp.k14_cat_2 A B C E G))) (let ((_let_2 (tptp.k14_cat_2 A B C D G))) (=> (tptp.m1_subset_1 G (tptp.u1_cat_1 A)) (and (tptp.r2_nattra_1 B C _let_2 _let_1) (tptp.m2_nattra_1 (tptp.k1_funct_1 (tptp.k3_funct_5 F) G) B C _let_2 _let_1)))))))))))))))))))) (forall ((A $$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.u2_cat_1 A)) (= (tptp.k3_isocat_2 A B C D E) (tptp.k1_funct_1 (tptp.k3_funct_5 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 $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_cat_1 A)) (forall ((D $$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)) (forall ((G $$unsorted)) (=> (tptp.m1_subset_1 G (tptp.u2_cat_1 A)) (forall ((H $$unsorted)) (=> (tptp.m1_subset_1 H (tptp.u2_cat_1 B)) (=> (and (tptp.r2_hidden G (tptp.k6_cat_1 A C D)) (tptp.r2_hidden H (tptp.k6_cat_1 B E F))) (tptp.r2_hidden (tptp.k13_cat_2 A B G H) (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)))))))))))))))))))) (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)) (=> (tptp.m1_subset_1 F (tptp.u1_cat_1 A)) (=> (not (= (tptp.k6_cat_1 A E F) tptp.k1_xboole_0)) (forall ((G $$unsorted)) (let ((_let_1 (tptp.k14_cat_2 A B C D F))) (let ((_let_2 (tptp.k14_cat_2 A B C D E))) (=> (tptp.m1_cat_1 G A E F) (and (tptp.r2_nattra_1 B C _let_2 _let_1) (tptp.m2_nattra_1 (tptp.k7_funct_2 (tptp.u1_cat_1 B) (tptp.u2_cat_1 B) (tptp.u2_cat_1 C) (tptp.u6_cat_1 B) (tptp.k3_isocat_2 A B C D G)) B C _let_2 _let_1))))))))))))))))))) (forall ((A $$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.u2_cat_1 A)) (= (tptp.k4_isocat_2 A B C D E) (tptp.k7_funct_2 (tptp.u1_cat_1 B) (tptp.u2_cat_1 B) (tptp.u2_cat_1 C) (tptp.u6_cat_1 B) (tptp.k3_isocat_2 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 $$unsorted)) (=> (and (tptp.v2_cat_1 C) (tptp.l1_cat_1 C)) (forall ((D $$unsorted)) (=> (tptp.m2_cat_1 D (tptp.k11_cat_2 A B) C) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.u2_cat_1 A)) (tptp.r2_nattra_1 B C (tptp.k14_cat_2 A B C D (tptp.k2_cat_1 A E)) (tptp.k14_cat_2 A B C D (tptp.k3_cat_1 A E))))))))))))) (forall ((A $$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.u2_cat_1 A)) (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F (tptp.u1_cat_1 B)) (= (tptp.k5_nattra_1 B C (tptp.k14_cat_2 A B C D (tptp.k2_cat_1 A E)) (tptp.k14_cat_2 A B C D (tptp.k3_cat_1 A E)) (tptp.k4_isocat_2 A B C D E) F) (tptp.k8_funct_2 (tptp.u2_cat_1 (tptp.k11_cat_2 A B)) (tptp.u2_cat_1 C) D (tptp.k13_cat_2 A B E (tptp.k10_cat_1 B F)))))))))))))))) (forall ((A $$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)) (let ((_let_1 (tptp.u2_cat_1 C))) (let ((_let_2 (tptp.u1_cat_1 B))) (=> (tptp.m1_subset_1 E (tptp.u1_cat_1 A)) (tptp.r4_nattra_1 _let_2 _let_1 _let_2 _let_1 (tptp.k7_nattra_1 B C (tptp.k14_cat_2 A B C D E)) (tptp.k4_isocat_2 A B C D (tptp.k10_cat_1 A 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 $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.u2_cat_1 A)) (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F (tptp.u2_cat_1 A)) (=> (= (tptp.k2_cat_1 A E) (tptp.k3_cat_1 A F)) (forall ((G $$unsorted)) (let ((_let_1 (tptp.k14_cat_2 A B C D (tptp.k2_cat_1 A E)))) (let ((_let_2 (tptp.k14_cat_2 A B C D (tptp.k2_cat_1 A F)))) (let ((_let_3 (tptp.u2_cat_1 C))) (let ((_let_4 (tptp.u1_cat_1 B))) (=> (tptp.m2_nattra_1 G B C _let_2 _let_1) (=> (tptp.r4_nattra_1 _let_4 _let_3 _let_4 _let_3 G (tptp.k4_isocat_2 A B C D F)) (tptp.r4_nattra_1 _let_4 _let_3 _let_4 _let_3 (tptp.k4_isocat_2 A B C D (tptp.k4_cat_1 A F E)) (tptp.k8_nattra_1 B C _let_2 _let_1 (tptp.k14_cat_2 A B C D (tptp.k3_cat_1 A E)) G (tptp.k4_isocat_2 A B C D E))))))))))))))))))))))) (forall ((A $$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)) (=> (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.m2_cat_1 E A (tptp.k12_nattra_1 B C)) (= (= E (tptp.k5_isocat_2 A B C D)) (forall ((F $$unsorted)) (let ((_let_1 (tptp.u2_cat_1 A))) (=> (tptp.m1_subset_1 F _let_1) (= (tptp.k8_funct_2 _let_1 (tptp.u2_cat_1 (tptp.k12_nattra_1 B C)) E F) (tptp.k4_tarski (tptp.k4_tarski (tptp.k14_cat_2 A B C D (tptp.k2_cat_1 A F)) (tptp.k14_cat_2 A B C D (tptp.k3_cat_1 A F))) (tptp.k4_isocat_2 A B C D F))))))))))))))))) true true (forall ((A $$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)) (=> (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.k13_cat_1 A (tptp.k12_nattra_1 B C) (tptp.k5_isocat_2 A B C D) E) (tptp.k14_cat_2 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 $$unsorted)) (=> (and (tptp.v2_cat_1 C) (tptp.l1_cat_1 C)) (forall ((D $$unsorted)) (=> (tptp.m2_cat_1 D (tptp.k11_cat_2 A B) C) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.u1_cat_1 A)) (tptp.m2_cat_1 (tptp.k13_cat_1 A (tptp.k12_nattra_1 B C) (tptp.k5_isocat_2 A B C D) E) B C))))))))))) (forall ((A $$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)) (let ((_let_1 (tptp.u2_cat_1 C))) (let ((_let_2 (tptp.k11_cat_2 A B))) (let ((_let_3 (tptp.u2_cat_1 _let_2))) (let ((_let_4 (tptp.u2_cat_1 (tptp.k12_nattra_1 B C)))) (let ((_let_5 (tptp.u2_cat_1 A))) (=> (tptp.m2_cat_1 E _let_2 C) (=> (tptp.r4_nattra_1 _let_5 _let_4 _let_5 _let_4 (tptp.k5_isocat_2 A B C D) (tptp.k5_isocat_2 A B C E)) (tptp.r4_nattra_1 _let_3 _let_1 _let_3 _let_1 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 $$unsorted)) (=> (and (tptp.v2_cat_1 C) (tptp.l1_cat_1 C)) (forall ((D $$unsorted)) (=> (tptp.m2_cat_1 D (tptp.k11_cat_2 A B) C) (forall ((E $$unsorted)) (let ((_let_1 (tptp.k11_cat_2 A B))) (=> (tptp.m2_cat_1 E _let_1 C) (=> (tptp.r2_nattra_1 _let_1 C D E) (forall ((F $$unsorted)) (=> (tptp.m2_nattra_1 F (tptp.k11_cat_2 A B) C D E) (and (tptp.r2_nattra_1 A (tptp.k12_nattra_1 B C) (tptp.k5_isocat_2 A B C D) (tptp.k5_isocat_2 A B C E)) (exists ((G $$unsorted)) (and (tptp.m2_nattra_1 G A (tptp.k12_nattra_1 B C) (tptp.k5_isocat_2 A B C D) (tptp.k5_isocat_2 A B C E)) (forall ((H $$unsorted)) (let ((_let_1 (tptp.u2_cat_1 C))) (let ((_let_2 (tptp.k2_zfmisc_1 (tptp.u1_cat_1 A) (tptp.u1_cat_1 B)))) (=> (and (tptp.v1_funct_1 H) (tptp.v1_funct_2 H _let_2 _let_1) (tptp.m2_relset_1 H _let_2 _let_1)) (=> (tptp.r4_nattra_1 (tptp.u1_cat_1 (tptp.k11_cat_2 A B)) _let_1 _let_2 _let_1 F H) (forall ((I $$unsorted)) (let ((_let_1 (tptp.u2_cat_1 C))) (let ((_let_2 (tptp.u1_cat_1 B))) (let ((_let_3 (tptp.u1_cat_1 A))) (let ((_let_4 (tptp.k5_isocat_2 A B C E))) (let ((_let_5 (tptp.k12_nattra_1 B C))) (let ((_let_6 (tptp.k5_isocat_2 A B C D))) (=> (tptp.m1_subset_1 I _let_3) (= (tptp.k5_nattra_1 A _let_5 _let_6 _let_4 G I) (tptp.k4_tarski (tptp.k12_cat_2 _let_5 _let_5 (tptp.k13_cat_1 A _let_5 _let_6 I) (tptp.k13_cat_1 A _let_5 _let_4 I)) (tptp.k1_cat_2 _let_3 _let_2 _let_1 (tptp.k1_fraenkel _let_2 _let_1) (tptp.k2_cat_2 _let_3 _let_2 _let_1 H) I))))))))))))))))))))))))))))))))) (forall ((A $$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)) (let ((_let_1 (tptp.k11_cat_2 A B))) (=> (tptp.m2_cat_1 E _let_1 C) (=> (tptp.r2_nattra_1 _let_1 C D E) (forall ((F $$unsorted)) (=> (tptp.m2_nattra_1 F (tptp.k11_cat_2 A B) C D E) (forall ((G $$unsorted)) (=> (tptp.m2_nattra_1 G A (tptp.k12_nattra_1 B C) (tptp.k5_isocat_2 A B C D) (tptp.k5_isocat_2 A B C E)) (= (= G (tptp.k6_isocat_2 A B C D E F)) (forall ((H $$unsorted)) (let ((_let_1 (tptp.u2_cat_1 C))) (let ((_let_2 (tptp.k2_zfmisc_1 (tptp.u1_cat_1 A) (tptp.u1_cat_1 B)))) (=> (and (tptp.v1_funct_1 H) (tptp.v1_funct_2 H _let_2 _let_1) (tptp.m2_relset_1 H _let_2 _let_1)) (=> (tptp.r4_nattra_1 (tptp.u1_cat_1 (tptp.k11_cat_2 A B)) _let_1 _let_2 _let_1 F H) (forall ((I $$unsorted)) (let ((_let_1 (tptp.u2_cat_1 C))) (let ((_let_2 (tptp.u1_cat_1 B))) (let ((_let_3 (tptp.u1_cat_1 A))) (let ((_let_4 (tptp.k5_isocat_2 A B C E))) (let ((_let_5 (tptp.k12_nattra_1 B C))) (let ((_let_6 (tptp.k5_isocat_2 A B C D))) (=> (tptp.m1_subset_1 I _let_3) (= (tptp.k5_nattra_1 A _let_5 _let_6 _let_4 G I) (tptp.k4_tarski (tptp.k12_cat_2 _let_5 _let_5 (tptp.k13_cat_1 A _let_5 _let_6 I) (tptp.k13_cat_1 A _let_5 _let_4 I)) (tptp.k1_cat_2 _let_3 _let_2 _let_1 (tptp.k1_fraenkel _let_2 _let_1) (tptp.k2_cat_2 _let_3 _let_2 _let_1 H) I))))))))))))))))))))))))))))))))) (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.k11_cat_2 A B))) (let ((_let_2 (tptp.k12_nattra_1 B C))) (let ((_let_3 (tptp.u2_cat_1 _let_2))) (let ((_let_4 (tptp.u1_cat_1 A))) (=> (tptp.m2_cat_1 D _let_1 C) (tptp.r4_nattra_1 _let_4 _let_3 _let_4 _let_3 (tptp.k7_nattra_1 A _let_2 (tptp.k5_isocat_2 A B C D)) (tptp.k6_isocat_2 A B C D D (tptp.k7_nattra_1 _let_1 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 $$unsorted)) (=> (and (tptp.v2_cat_1 C) (tptp.l1_cat_1 C)) (forall ((D $$unsorted)) (=> (tptp.m2_cat_1 D (tptp.k11_cat_2 A B) C) (forall ((E $$unsorted)) (=> (tptp.m2_cat_1 E (tptp.k11_cat_2 A B) C) (forall ((F $$unsorted)) (let ((_let_1 (tptp.k11_cat_2 A B))) (=> (tptp.m2_cat_1 F _let_1 C) (=> (and (tptp.r2_nattra_1 _let_1 C D E) (tptp.r2_nattra_1 _let_1 C E F)) (forall ((G $$unsorted)) (=> (tptp.m2_nattra_1 G (tptp.k11_cat_2 A B) C D E) (forall ((H $$unsorted)) (let ((_let_1 (tptp.k12_nattra_1 B C))) (let ((_let_2 (tptp.k11_cat_2 A B))) (let ((_let_3 (tptp.u2_cat_1 _let_1))) (let ((_let_4 (tptp.u1_cat_1 A))) (=> (tptp.m2_nattra_1 H _let_2 C E F) (tptp.r4_nattra_1 _let_4 _let_3 _let_4 _let_3 (tptp.k6_isocat_2 A B C D F (tptp.k8_nattra_1 _let_2 C D E F G H)) (tptp.k8_nattra_1 A _let_1 (tptp.k5_isocat_2 A B C D) (tptp.k5_isocat_2 A B C E) (tptp.k5_isocat_2 A B C F) (tptp.k6_isocat_2 A B C D E G) (tptp.k6_isocat_2 A B C E F H))))))))))))))))))))))))) (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 $$unsorted)) (let ((_let_1 (tptp.k11_cat_2 A B))) (=> (tptp.m2_cat_1 E _let_1 C) (=> (tptp.r2_nattra_1 _let_1 C D E) (forall ((F $$unsorted)) (=> (tptp.m2_nattra_1 F (tptp.k11_cat_2 A B) C D E) (forall ((G $$unsorted)) (let ((_let_1 (tptp.u2_cat_1 C))) (let ((_let_2 (tptp.k11_cat_2 A B))) (let ((_let_3 (tptp.u1_cat_1 _let_2))) (let ((_let_4 (tptp.u2_cat_1 (tptp.k12_nattra_1 B C)))) (let ((_let_5 (tptp.u1_cat_1 A))) (=> (tptp.m2_nattra_1 G _let_2 C D E) (=> (tptp.r4_nattra_1 _let_5 _let_4 _let_5 _let_4 (tptp.k6_isocat_2 A B C D E F) (tptp.k6_isocat_2 A B C D E G)) (tptp.r4_nattra_1 _let_3 _let_1 _let_3 _let_1 F G))))))))))))))))))))))) (forall ((A $$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 $$unsorted)) (=> (tptp.m2_cat_1 D A (tptp.k12_nattra_1 B C)) (exists ((E $$unsorted)) (let ((_let_1 (tptp.u2_cat_1 (tptp.k12_nattra_1 B C)))) (let ((_let_2 (tptp.u2_cat_1 A))) (and (tptp.m2_cat_1 E (tptp.k11_cat_2 A B) C) (tptp.r4_nattra_1 _let_2 _let_1 _let_2 _let_1 D (tptp.k5_isocat_2 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 $$unsorted)) (=> (and (tptp.v2_cat_1 C) (tptp.l1_cat_1 C)) (forall ((D $$unsorted)) (=> (tptp.m2_cat_1 D (tptp.k11_cat_2 A B) C) (forall ((E $$unsorted)) (=> (tptp.m2_cat_1 E (tptp.k11_cat_2 A B) C) (=> (tptp.r2_nattra_1 A (tptp.k12_nattra_1 B C) (tptp.k5_isocat_2 A B C D) (tptp.k5_isocat_2 A B C E)) (forall ((F $$unsorted)) (=> (tptp.m2_nattra_1 F A (tptp.k12_nattra_1 B C) (tptp.k5_isocat_2 A B C D) (tptp.k5_isocat_2 A B C E)) (and (tptp.r2_nattra_1 (tptp.k11_cat_2 A B) C D E) (exists ((G $$unsorted)) (let ((_let_1 (tptp.u2_cat_1 (tptp.k12_nattra_1 B C)))) (let ((_let_2 (tptp.u1_cat_1 A))) (and (tptp.m2_nattra_1 G (tptp.k11_cat_2 A B) C D E) (tptp.r4_nattra_1 _let_2 _let_1 _let_2 _let_1 F (tptp.k6_isocat_2 A B C D E G)))))))))))))))))))) (forall ((A $$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 $$unsorted)) (=> (tptp.m2_cat_1 D (tptp.k12_nattra_1 (tptp.k11_cat_2 A B) C) (tptp.k12_nattra_1 A (tptp.k12_nattra_1 B C))) (= (= D (tptp.k7_isocat_2 A B C)) (forall ((E $$unsorted)) (=> (tptp.m2_cat_1 E (tptp.k11_cat_2 A B) C) (forall ((F $$unsorted)) (let ((_let_1 (tptp.k11_cat_2 A B))) (=> (tptp.m2_cat_1 F _let_1 C) (=> (tptp.r2_nattra_1 _let_1 C E F) (forall ((G $$unsorted)) (=> (tptp.m2_nattra_1 G (tptp.k11_cat_2 A B) C E F) (= (tptp.k1_funct_1 D (tptp.k4_tarski (tptp.k4_tarski E F) G)) (tptp.k4_tarski (tptp.k4_tarski (tptp.k5_isocat_2 A B C E) (tptp.k5_isocat_2 A B C F)) (tptp.k6_isocat_2 A B C E F 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 $$unsorted)) (=> (and (tptp.v2_cat_1 C) (tptp.l1_cat_1 C)) (tptp.v8_cat_1 (tptp.k7_isocat_2 A B C) (tptp.k12_nattra_1 (tptp.k11_cat_2 A B) C) (tptp.k12_nattra_1 A (tptp.k12_nattra_1 B C))))))))) (forall ((A $$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)) (tptp.r1_isocat_1 (tptp.k12_nattra_1 (tptp.k11_cat_2 A B) C) (tptp.k12_nattra_1 A (tptp.k12_nattra_1 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 $$unsorted)) (=> (tptp.m2_cat_1 E A B) (forall ((F $$unsorted)) (=> (tptp.m2_cat_1 F B C) (=> (tptp.r2_nattra_1 A B D E) (forall ((G $$unsorted)) (=> (tptp.m2_nattra_1 G A B D E) (= (tptp.k6_isocat_1 A B C D E G F) (tptp.k5_relat_1 G F))))))))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v2_cat_1 B) (tptp.l1_cat_1 B)) (forall ((C $$unsorted)) (=> (and (tptp.v2_cat_1 C) (tptp.l1_cat_1 C)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k11_cat_2 B C))) (=> (tptp.m2_cat_1 D A _let_1) (= (tptp.k11_isocat_2 A B C D) (tptp.k2_isocat_1 A _let_1 B D (tptp.k8_isocat_2 B C)))))))))))) (forall ((A $$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 $$unsorted)) (let ((_let_1 (tptp.k11_cat_2 B C))) (=> (tptp.m2_cat_1 D A _let_1) (= (tptp.k12_isocat_2 A B C D) (tptp.k2_isocat_1 A _let_1 C D (tptp.k9_isocat_2 B C)))))))))))) (forall ((A $$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)) (let ((_let_1 (tptp.k10_isocat_2 A B C D E))) (let ((_let_2 (tptp.u2_cat_1 C))) (let ((_let_3 (tptp.u2_cat_1 A))) (let ((_let_4 (tptp.u2_cat_1 B))) (=> (tptp.m2_cat_1 E A C) (and (tptp.r4_nattra_1 _let_3 _let_4 _let_3 _let_4 (tptp.k11_isocat_2 A B C _let_1) D) (tptp.r4_nattra_1 _let_3 _let_2 _let_3 _let_2 (tptp.k12_isocat_2 A B C _let_1) 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 A (tptp.k11_cat_2 B C)) (forall ((E $$unsorted)) (let ((_let_1 (tptp.k11_cat_2 B C))) (let ((_let_2 (tptp.u2_cat_1 _let_1))) (let ((_let_3 (tptp.u2_cat_1 A))) (let ((_let_4 (tptp.u2_cat_1 C))) (let ((_let_5 (tptp.u2_cat_1 B))) (=> (tptp.m2_cat_1 E A _let_1) (=> (and (tptp.r4_nattra_1 _let_3 _let_5 _let_3 _let_5 (tptp.k11_isocat_2 A B C D) (tptp.k11_isocat_2 A B C E)) (tptp.r4_nattra_1 _let_3 _let_4 _let_3 _let_4 (tptp.k12_isocat_2 A B C D) (tptp.k12_isocat_2 A B C E))) (tptp.r4_nattra_1 _let_3 _let_2 _let_3 _let_2 D E))))))))))))))))) (forall ((A $$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)) (=> (and (tptp.v2_cat_1 C) (tptp.l1_cat_1 C)) (forall ((D $$unsorted)) (=> (tptp.m2_cat_1 D A (tptp.k11_cat_2 B C)) (forall ((E $$unsorted)) (=> (tptp.m2_cat_1 E A (tptp.k11_cat_2 B C)) (forall ((F $$unsorted)) (let ((_let_1 (tptp.k11_cat_2 B C))) (=> (tptp.m2_nattra_1 F A _let_1 D E) (= (tptp.k13_isocat_2 A B C D E F) (tptp.k6_isocat_1 A _let_1 B D E F (tptp.k8_isocat_2 B C)))))))))))))))) (forall ((A $$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 $$unsorted)) (=> (tptp.m2_cat_1 D A (tptp.k11_cat_2 B C)) (forall ((E $$unsorted)) (=> (tptp.m2_cat_1 E A (tptp.k11_cat_2 B C)) (forall ((F $$unsorted)) (let ((_let_1 (tptp.k11_cat_2 B C))) (=> (tptp.m2_nattra_1 F A _let_1 D E) (= (tptp.k14_isocat_2 A B C D E F) (tptp.k6_isocat_1 A _let_1 C D E F (tptp.k9_isocat_2 B C)))))))))))))))) (forall ((A $$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 $$unsorted)) (=> (tptp.m2_cat_1 D A (tptp.k11_cat_2 B C)) (forall ((E $$unsorted)) (let ((_let_1 (tptp.k11_cat_2 B C))) (=> (tptp.m2_cat_1 E A _let_1) (=> (tptp.r2_nattra_1 A _let_1 D E) (and (tptp.r2_nattra_1 A B (tptp.k11_isocat_2 A B C D) (tptp.k11_isocat_2 A B C E)) (tptp.r2_nattra_1 A C (tptp.k12_isocat_2 A B C D) (tptp.k12_isocat_2 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 $$unsorted)) (=> (and (tptp.v2_cat_1 C) (tptp.l1_cat_1 C)) (forall ((D $$unsorted)) (=> (tptp.m2_cat_1 D A (tptp.k11_cat_2 B C)) (forall ((E $$unsorted)) (=> (tptp.m2_cat_1 E A (tptp.k11_cat_2 B C)) (forall ((F $$unsorted)) (=> (tptp.m2_cat_1 F A (tptp.k11_cat_2 B C)) (forall ((G $$unsorted)) (let ((_let_1 (tptp.k11_cat_2 B C))) (=> (tptp.m2_cat_1 G A _let_1) (=> (and (tptp.r2_nattra_1 A _let_1 D E) (tptp.r2_nattra_1 A _let_1 F G)) (forall ((H $$unsorted)) (=> (tptp.m2_nattra_1 H A (tptp.k11_cat_2 B C) D E) (forall ((I $$unsorted)) (let ((_let_1 (tptp.k11_cat_2 B C))) (let ((_let_2 (tptp.u2_cat_1 _let_1))) (let ((_let_3 (tptp.u1_cat_1 A))) (let ((_let_4 (tptp.u2_cat_1 C))) (let ((_let_5 (tptp.u2_cat_1 B))) (=> (tptp.m2_nattra_1 I A _let_1 F G) (=> (and (tptp.r4_nattra_1 _let_3 _let_5 _let_3 _let_5 (tptp.k13_isocat_2 A B C D E H) (tptp.k13_isocat_2 A B C F G I)) (tptp.r4_nattra_1 _let_3 _let_4 _let_3 _let_4 (tptp.k14_isocat_2 A B C D E H) (tptp.k14_isocat_2 A B C F G I))) (tptp.r4_nattra_1 _let_3 _let_2 _let_3 _let_2 H I))))))))))))))))))))))))))) (forall ((A $$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 $$unsorted)) (let ((_let_1 (tptp.k11_cat_2 B C))) (let ((_let_2 (tptp.k7_nattra_1 A _let_1 D))) (let ((_let_3 (tptp.u2_cat_1 C))) (let ((_let_4 (tptp.u1_cat_1 A))) (let ((_let_5 (tptp.u2_cat_1 B))) (=> (tptp.m2_cat_1 D A _let_1) (and (tptp.r4_nattra_1 _let_4 _let_5 _let_4 _let_5 (tptp.k7_nattra_1 A B (tptp.k11_isocat_2 A B C D)) (tptp.k13_isocat_2 A B C D D _let_2)) (tptp.r4_nattra_1 _let_4 _let_3 _let_4 _let_3 (tptp.k7_nattra_1 A C (tptp.k12_isocat_2 A B C D)) (tptp.k14_isocat_2 A B C D D _let_2)))))))))))))))) (forall ((A $$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 $$unsorted)) (=> (tptp.m2_cat_1 D A (tptp.k11_cat_2 B C)) (forall ((E $$unsorted)) (=> (tptp.m2_cat_1 E A (tptp.k11_cat_2 B C)) (forall ((F $$unsorted)) (let ((_let_1 (tptp.k11_cat_2 B C))) (=> (tptp.m2_cat_1 F A _let_1) (=> (and (tptp.r2_nattra_1 A _let_1 D E) (tptp.r2_nattra_1 A _let_1 E F)) (forall ((G $$unsorted)) (=> (tptp.m2_nattra_1 G A (tptp.k11_cat_2 B C) D E) (forall ((H $$unsorted)) (let ((_let_1 (tptp.k11_cat_2 B C))) (let ((_let_2 (tptp.k8_nattra_1 A _let_1 D E F G H))) (let ((_let_3 (tptp.u2_cat_1 C))) (let ((_let_4 (tptp.u1_cat_1 A))) (let ((_let_5 (tptp.u2_cat_1 B))) (=> (tptp.m2_nattra_1 H A _let_1 E F) (and (tptp.r4_nattra_1 _let_4 _let_5 _let_4 _let_5 (tptp.k13_isocat_2 A B C D F _let_2) (tptp.k8_nattra_1 A B (tptp.k11_isocat_2 A B C D) (tptp.k11_isocat_2 A B C E) (tptp.k11_isocat_2 A B C F) (tptp.k13_isocat_2 A B C D E G) (tptp.k13_isocat_2 A B C E F H))) (tptp.r4_nattra_1 _let_4 _let_3 _let_4 _let_3 (tptp.k14_isocat_2 A B C D F _let_2) (tptp.k8_nattra_1 A C (tptp.k12_isocat_2 A B C D) (tptp.k12_isocat_2 A B C E) (tptp.k12_isocat_2 A B C F) (tptp.k14_isocat_2 A B C D E G) (tptp.k14_isocat_2 A B C E F H))))))))))))))))))))))))))) (forall ((A $$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 $$unsorted)) (=> (tptp.m1_subset_1 F (tptp.u1_cat_1 A)) (forall ((G $$unsorted)) (=> (tptp.m1_subset_1 G (tptp.u1_cat_1 A)) (=> (not (= (tptp.k6_cat_1 A F G) tptp.k1_xboole_0)) (forall ((H $$unsorted)) (=> (tptp.m1_cat_1 H A F G) (= (tptp.k3_nattra_1 A (tptp.k11_cat_2 B C) (tptp.k10_isocat_2 A B C D E) F G H) (tptp.k13_cat_2 B C (tptp.k3_nattra_1 A B D F G H) (tptp.k3_nattra_1 A C E F G H)))))))))))))))))))) (forall ((A $$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 $$unsorted)) (=> (tptp.m1_subset_1 F (tptp.u1_cat_1 A)) (= (tptp.k13_cat_1 A (tptp.k11_cat_2 B C) (tptp.k10_isocat_2 A B C D E) F) (tptp.k12_cat_2 B C (tptp.k13_cat_1 A B D F) (tptp.k13_cat_1 A C E F))))))))))))))) (forall ((A $$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 $$unsorted)) (=> (tptp.m2_cat_1 D A B) (forall ((E $$unsorted)) (=> (tptp.m2_cat_1 E A B) (forall ((F $$unsorted)) (=> (tptp.m2_cat_1 F A C) (forall ((G $$unsorted)) (=> (tptp.m2_cat_1 G A C) (=> (and (tptp.r1_nattra_1 A B D E) (tptp.r1_nattra_1 A C F G)) (tptp.r1_nattra_1 A (tptp.k11_cat_2 B C) (tptp.k10_isocat_2 A B C D F) (tptp.k10_isocat_2 A B C E 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 A B) (forall ((E $$unsorted)) (=> (tptp.m2_cat_1 E A B) (forall ((F $$unsorted)) (=> (tptp.m2_cat_1 F A C) (forall ((G $$unsorted)) (=> (tptp.m2_cat_1 G A C) (=> (and (tptp.r1_nattra_1 A B D E) (tptp.r1_nattra_1 A C F G)) (forall ((H $$unsorted)) (=> (tptp.m1_nattra_1 H A B D E) (forall ((I $$unsorted)) (=> (tptp.m1_nattra_1 I A C F G) (= (tptp.k15_isocat_2 A B C D E F G H I) (tptp.k14_funct_3 (tptp.u1_cat_1 A) (tptp.u2_cat_1 B) (tptp.u2_cat_1 C) H I))))))))))))))))))))) (forall ((A $$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 B) (forall ((F $$unsorted)) (=> (tptp.m2_cat_1 F A C) (forall ((G $$unsorted)) (=> (tptp.m2_cat_1 G A C) (=> (and (tptp.r1_nattra_1 A B D E) (tptp.r1_nattra_1 A C F G)) (forall ((H $$unsorted)) (=> (tptp.m1_nattra_1 H A B D E) (forall ((I $$unsorted)) (=> (tptp.m1_nattra_1 I A C F G) (forall ((J $$unsorted)) (=> (tptp.m1_subset_1 J (tptp.u1_cat_1 A)) (= (tptp.k5_nattra_1 A (tptp.k11_cat_2 B C) (tptp.k10_isocat_2 A B C D F) (tptp.k10_isocat_2 A B C E G) (tptp.k15_isocat_2 A B C D E F G H I) J) (tptp.k13_cat_2 B C (tptp.k5_nattra_1 A B D E H J) (tptp.k5_nattra_1 A C F G I J)))))))))))))))))))))))) (forall ((A $$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 B) (forall ((F $$unsorted)) (=> (tptp.m2_cat_1 F A C) (forall ((G $$unsorted)) (=> (tptp.m2_cat_1 G A C) (=> (and (tptp.r2_nattra_1 A B D E) (tptp.r2_nattra_1 A C F G)) (tptp.r2_nattra_1 A (tptp.k11_cat_2 B C) (tptp.k10_isocat_2 A B C D F) (tptp.k10_isocat_2 A B C E 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 A B) (forall ((E $$unsorted)) (=> (tptp.m2_cat_1 E A B) (forall ((F $$unsorted)) (=> (tptp.m2_cat_1 F A C) (forall ((G $$unsorted)) (=> (tptp.m2_cat_1 G A C) (=> (and (tptp.r2_nattra_1 A B D E) (tptp.r2_nattra_1 A C F G)) (forall ((H $$unsorted)) (=> (tptp.m2_nattra_1 H A B D E) (forall ((I $$unsorted)) (=> (tptp.m2_nattra_1 I A C F G) (= (tptp.k16_isocat_2 A B C D E F G H I) (tptp.k15_isocat_2 A B C D E F G H I))))))))))))))))))))) (forall ((A $$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 B) (forall ((F $$unsorted)) (=> (tptp.m2_cat_1 F A C) (forall ((G $$unsorted)) (=> (tptp.m2_cat_1 G A C) (=> (and (tptp.r2_nattra_1 A B D E) (tptp.r2_nattra_1 A C F G)) (forall ((H $$unsorted)) (=> (tptp.m2_nattra_1 H A B D E) (forall ((I $$unsorted)) (let ((_let_1 (tptp.k16_isocat_2 A B C D E F G H I))) (let ((_let_2 (tptp.k10_isocat_2 A B C E G))) (let ((_let_3 (tptp.k10_isocat_2 A B C D F))) (let ((_let_4 (tptp.u2_cat_1 C))) (let ((_let_5 (tptp.u1_cat_1 A))) (let ((_let_6 (tptp.u2_cat_1 B))) (=> (tptp.m2_nattra_1 I A C F G) (and (tptp.r4_nattra_1 _let_5 _let_6 _let_5 _let_6 (tptp.k13_isocat_2 A B C _let_3 _let_2 _let_1) H) (tptp.r4_nattra_1 _let_5 _let_4 _let_5 _let_4 (tptp.k14_isocat_2 A B C _let_3 _let_2 _let_1) I))))))))))))))))))))))))))) (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.k12_nattra_1 A (tptp.k11_cat_2 B C)) (tptp.k11_cat_2 (tptp.k12_nattra_1 A B) (tptp.k12_nattra_1 A C))) (= (= D (tptp.k17_isocat_2 A B C)) (forall ((E $$unsorted)) (=> (tptp.m2_cat_1 E A (tptp.k11_cat_2 B C)) (forall ((F $$unsorted)) (let ((_let_1 (tptp.k11_cat_2 B C))) (=> (tptp.m2_cat_1 F A _let_1) (=> (tptp.r2_nattra_1 A _let_1 E F) (forall ((G $$unsorted)) (=> (tptp.m2_nattra_1 G A (tptp.k11_cat_2 B C) E F) (= (tptp.k1_funct_1 D (tptp.k4_tarski (tptp.k4_tarski E F) G)) (tptp.k4_tarski (tptp.k4_tarski (tptp.k4_tarski (tptp.k11_isocat_2 A B C E) (tptp.k11_isocat_2 A B C F)) (tptp.k13_isocat_2 A B C E F G)) (tptp.k4_tarski (tptp.k4_tarski (tptp.k12_isocat_2 A B C E) (tptp.k12_isocat_2 A B C F)) (tptp.k14_isocat_2 A B C E F G))))))))))))))))))))) (forall ((A $$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)) (tptp.v8_cat_1 (tptp.k17_isocat_2 A B C) (tptp.k12_nattra_1 A (tptp.k11_cat_2 B C)) (tptp.k11_cat_2 (tptp.k12_nattra_1 A B) (tptp.k12_nattra_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 $$unsorted)) (=> (and (tptp.v2_cat_1 C) (tptp.l1_cat_1 C)) (tptp.r1_isocat_1 (tptp.k12_nattra_1 A (tptp.k11_cat_2 B C)) (tptp.k11_cat_2 (tptp.k12_nattra_1 A B) (tptp.k12_nattra_1 A C))))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A B))) (let ((_let_2 (tptp.k1_isocat_2 A B C D))) (let ((_let_3 (tptp.k1_fraenkel B C))) (=> (and (not (tptp.v1_xboole_0 A)) (not (tptp.v1_xboole_0 B)) (not (tptp.v1_xboole_0 C)) (tptp.v1_funct_1 D) (tptp.v1_funct_2 D A _let_3) (tptp.m1_relset_1 D A _let_3)) (and (tptp.v1_funct_1 _let_2) (tptp.v1_funct_2 _let_2 _let_1 C) (tptp.m2_relset_1 _let_2 _let_1 C))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k1_fraenkel B C))) (=> (and (not (tptp.v1_xboole_0 A)) (not (tptp.v1_xboole_0 B)) (not (tptp.v1_xboole_0 C)) (tptp.v1_funct_1 D) (tptp.v1_funct_2 D A _let_1) (tptp.m1_relset_1 D A _let_1)) (= (tptp.k1_isocat_2 A B C D) (tptp.k4_funct_5 D))))) (forall ((A $$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 A))) (tptp.m2_cat_1 (tptp.k2_isocat_2 A B C) (tptp.k12_nattra_1 A B) B))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (let ((_let_1 (tptp.u2_cat_1 C))) (let ((_let_2 (tptp.u2_cat_1 B))) (let ((_let_3 (tptp.k3_isocat_2 A B C D E))) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A) (tptp.v2_cat_1 B) (tptp.l1_cat_1 B) (tptp.v2_cat_1 C) (tptp.l1_cat_1 C) (tptp.m2_cat_1 D (tptp.k11_cat_2 A B) C) (tptp.m1_subset_1 E (tptp.u2_cat_1 A))) (and (tptp.v1_funct_1 _let_3) (tptp.v1_funct_2 _let_3 _let_2 _let_1) (tptp.m2_relset_1 _let_3 _let_2 _let_1))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (=> (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.u2_cat_1 A))) (tptp.m2_nattra_1 (tptp.k4_isocat_2 A B C D E) B C (tptp.k14_cat_2 A B C D (tptp.k2_cat_1 A E)) (tptp.k14_cat_2 A B C D (tptp.k3_cat_1 A E))))) (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.v2_cat_1 C) (tptp.l1_cat_1 C) (tptp.m2_cat_1 D (tptp.k11_cat_2 A B) C)) (tptp.m2_cat_1 (tptp.k5_isocat_2 A B C D) A (tptp.k12_nattra_1 B C)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$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) (tptp.v2_cat_1 C) (tptp.l1_cat_1 C) (tptp.m2_cat_1 D _let_1 C) (tptp.m2_cat_1 E _let_1 C) (tptp.m2_nattra_1 F _let_1 C D E)) (tptp.m2_nattra_1 (tptp.k6_isocat_2 A B C D E F) A (tptp.k12_nattra_1 B C) (tptp.k5_isocat_2 A B C D) (tptp.k5_isocat_2 A B C E))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A) (tptp.v2_cat_1 B) (tptp.l1_cat_1 B) (tptp.v2_cat_1 C) (tptp.l1_cat_1 C)) (tptp.m2_cat_1 (tptp.k7_isocat_2 A B C) (tptp.k12_nattra_1 (tptp.k11_cat_2 A B) C) (tptp.k12_nattra_1 A (tptp.k12_nattra_1 B C))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A) (tptp.v2_cat_1 B) (tptp.l1_cat_1 B)) (tptp.m2_cat_1 (tptp.k8_isocat_2 A B) (tptp.k11_cat_2 A B) A))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A) (tptp.v2_cat_1 B) (tptp.l1_cat_1 B)) (= (tptp.k8_isocat_2 A B) (tptp.k16_cat_2 A B)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A) (tptp.v2_cat_1 B) (tptp.l1_cat_1 B)) (tptp.m2_cat_1 (tptp.k9_isocat_2 A B) (tptp.k11_cat_2 A B) B))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A) (tptp.v2_cat_1 B) (tptp.l1_cat_1 B)) (= (tptp.k9_isocat_2 A B) (tptp.k17_cat_2 A B)))) (forall ((A $$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.k10_isocat_2 A B C D E) A (tptp.k11_cat_2 B C)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A) (tptp.v2_cat_1 B) (tptp.l1_cat_1 B) (tptp.v2_cat_1 C) (tptp.l1_cat_1 C) (tptp.m2_cat_1 D A B) (tptp.m2_cat_1 E A C)) (= (tptp.k10_isocat_2 A B C D E) (tptp.k13_funct_3 D E)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A) (tptp.v2_cat_1 B) (tptp.l1_cat_1 B) (tptp.v2_cat_1 C) (tptp.l1_cat_1 C) (tptp.m2_cat_1 D A (tptp.k11_cat_2 B C))) (tptp.m2_cat_1 (tptp.k11_isocat_2 A B C D) A B))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A) (tptp.v2_cat_1 B) (tptp.l1_cat_1 B) (tptp.v2_cat_1 C) (tptp.l1_cat_1 C) (tptp.m2_cat_1 D A (tptp.k11_cat_2 B C))) (tptp.m2_cat_1 (tptp.k12_isocat_2 A B C D) A C))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted)) (let ((_let_1 (tptp.k11_cat_2 B C))) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A) (tptp.v2_cat_1 B) (tptp.l1_cat_1 B) (tptp.v2_cat_1 C) (tptp.l1_cat_1 C) (tptp.m2_cat_1 D A _let_1) (tptp.m2_cat_1 E A _let_1) (tptp.m2_nattra_1 F A _let_1 D E)) (tptp.m2_nattra_1 (tptp.k13_isocat_2 A B C D E F) A B (tptp.k11_isocat_2 A B C D) (tptp.k11_isocat_2 A B C E))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted)) (let ((_let_1 (tptp.k11_cat_2 B C))) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A) (tptp.v2_cat_1 B) (tptp.l1_cat_1 B) (tptp.v2_cat_1 C) (tptp.l1_cat_1 C) (tptp.m2_cat_1 D A _let_1) (tptp.m2_cat_1 E A _let_1) (tptp.m2_nattra_1 F A _let_1 D E)) (tptp.m2_nattra_1 (tptp.k14_isocat_2 A B C D E F) A C (tptp.k12_isocat_2 A B C D) (tptp.k12_isocat_2 A B C E))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted) (G $$unsorted) (H $$unsorted) (I $$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 B) (tptp.m2_cat_1 F A C) (tptp.m2_cat_1 G A C) (tptp.m1_nattra_1 H A B D E) (tptp.m1_nattra_1 I A C F G)) (tptp.m1_nattra_1 (tptp.k15_isocat_2 A B C D E F G H I) A (tptp.k11_cat_2 B C) (tptp.k10_isocat_2 A B C D F) (tptp.k10_isocat_2 A B C E G)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted) (G $$unsorted) (H $$unsorted) (I $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A) (tptp.v2_cat_1 B) (tptp.l1_cat_1 B) (tptp.v2_cat_1 C) (tptp.l1_cat_1 C) (tptp.m2_cat_1 D A B) (tptp.m2_cat_1 E A B) (tptp.m2_cat_1 F A C) (tptp.m2_cat_1 G A C) (tptp.m2_nattra_1 H A B D E) (tptp.m2_nattra_1 I A C F G)) (tptp.m2_nattra_1 (tptp.k16_isocat_2 A B C D E F G H I) A (tptp.k11_cat_2 B C) (tptp.k10_isocat_2 A B C D F) (tptp.k10_isocat_2 A B C E G)))) (forall ((A $$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.v2_cat_1 C) (tptp.l1_cat_1 C)) (tptp.m2_cat_1 (tptp.k17_isocat_2 A B C) (tptp.k12_nattra_1 A (tptp.k11_cat_2 B C)) (tptp.k11_cat_2 (tptp.k12_nattra_1 A B) (tptp.k12_nattra_1 A C))))) (exists ((A $$unsorted)) (and (tptp.l1_pre_topc A) (not (tptp.v3_struct_0 A)) (tptp.v1_pre_topc A) (tptp.v1_tdlat_3 A) (tptp.v2_tdlat_3 A))) (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (=> (tptp.v1_tdlat_3 A) (tptp.v2_pre_topc A)))) (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (=> (tptp.v2_tdlat_3 A) (tptp.v2_pre_topc A)))) (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (=> (tptp.v1_tdlat_3 A) (tptp.v3_tdlat_3 A)))) (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (=> (tptp.v2_tdlat_3 A) (tptp.v3_tdlat_3 A)))) (exists ((A $$unsorted)) (and (tptp.l1_pre_topc A) (tptp.v1_pre_topc A) (tptp.v3_tdlat_3 A))) (exists ((A $$unsorted)) (and (tptp.l1_pre_topc A) (not (tptp.v3_struct_0 A)) (tptp.v1_pre_topc A) (tptp.v2_pre_topc A) (tptp.v1_tdlat_3 A) (tptp.v2_tdlat_3 A) (tptp.v3_tdlat_3 A))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.v1_tdlat_3 A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_pre_topc B A) (and (tptp.v2_pre_topc B) (tptp.v1_borsuk_1 B A) (tptp.v1_tsep_1 B A) (tptp.v1_tdlat_3 B) (tptp.v3_tdlat_3 B)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.v1_tdlat_3 A) (tptp.l1_pre_topc A)) (exists ((B $$unsorted)) (and (tptp.m1_pre_topc B A) (tptp.v1_pre_topc B) (tptp.v2_pre_topc B) (tptp.v1_borsuk_1 B A) (tptp.v1_tsep_1 B A) (tptp.v1_tdlat_3 B) (tptp.v3_tdlat_3 B))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.v2_tdlat_3 A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_pre_topc B A) (and (tptp.v2_pre_topc B) (tptp.v2_tdlat_3 B) (tptp.v3_tdlat_3 B)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.v2_tdlat_3 A) (tptp.l1_pre_topc A)) (exists ((B $$unsorted)) (and (tptp.m1_pre_topc B A) (tptp.v2_pre_topc B) (tptp.v2_tdlat_3 B) (tptp.v3_tdlat_3 B))))) (exists ((A $$unsorted)) (and (tptp.l1_pre_topc A) (tptp.v1_pre_topc A) (tptp.v2_pre_topc A) (tptp.v3_tdlat_3 A))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.v2_pre_topc A))) (=> (tptp.l1_pre_topc A) (=> (and _let_1 (tptp.v1_tdlat_3 A)) (and _let_1 (tptp.v3_tdlat_3 A)))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.v2_pre_topc A))) (=> (tptp.l1_pre_topc A) (=> (and _let_1 (tptp.v2_tdlat_3 A)) (and _let_1 (tptp.v3_tdlat_3 A)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.v3_tdlat_3 A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (let ((_let_1 (not (tptp.v3_struct_0 B)))) (=> (tptp.m1_pre_topc B A) (=> _let_1 (and _let_1 (tptp.v2_pre_topc B) (tptp.v3_tdlat_3 B)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.v3_tdlat_3 A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_pre_topc B A) (=> (tptp.v1_tsep_1 B A) (and (tptp.v2_pre_topc B) (tptp.v1_borsuk_1 B A))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.v3_tdlat_3 A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_pre_topc B A) (=> (tptp.v1_borsuk_1 B A) (and (tptp.v2_pre_topc B) (tptp.v1_tsep_1 B A))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.v3_tdlat_3 A) (tptp.l1_pre_topc A)) (exists ((B $$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.v3_tdlat_3 B))))) (exists ((A $$unsorted)) (and (tptp.l1_pre_topc A) (not (tptp.v3_struct_0 A)) (tptp.v1_pre_topc A) (tptp.v2_pre_topc A) (tptp.v4_tdlat_3 A))) (exists ((A $$unsorted)) (and (tptp.l1_pre_topc A) (not (tptp.v3_struct_0 A)) (tptp.v1_pre_topc A) (tptp.v2_pre_topc A) (tptp.v5_tdlat_3 A))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.v2_pre_topc A))) (let ((_let_2 (not (tptp.v3_struct_0 A)))) (=> (tptp.l1_pre_topc A) (=> (and _let_2 _let_1 (tptp.v5_tdlat_3 A)) (and _let_2 _let_1 (tptp.v4_tdlat_3 A))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.v2_pre_topc A))) (let ((_let_2 (not (tptp.v3_struct_0 A)))) (=> (tptp.l1_pre_topc A) (=> (and _let_2 _let_1 (tptp.v3_tdlat_3 A)) (and _let_2 _let_1 (tptp.v5_tdlat_3 A))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.v4_tdlat_3 A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (let ((_let_1 (not (tptp.v3_struct_0 B)))) (=> (tptp.m1_pre_topc B A) (=> (and _let_1 (tptp.v1_tsep_1 B A)) (and _let_1 (tptp.v2_pre_topc B) (tptp.v4_tdlat_3 B)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.v4_tdlat_3 A) (tptp.l1_pre_topc A)) (exists ((B $$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.v4_tdlat_3 B))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.v5_tdlat_3 A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (let ((_let_1 (not (tptp.v3_struct_0 B)))) (=> (tptp.m1_pre_topc B A) (=> _let_1 (and _let_1 (tptp.v2_pre_topc B) (tptp.v4_tdlat_3 B) (tptp.v5_tdlat_3 B)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.v5_tdlat_3 A) (tptp.l1_pre_topc A)) (exists ((B $$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.v4_tdlat_3 B) (tptp.v5_tdlat_3 B))))) true (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.k6_pre_topc A B) (tptp.k3_subset_1 _let_1 (tptp.k1_tops_1 A (tptp.k3_subset_1 _let_1 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.k6_pre_topc A (tptp.k3_subset_1 _let_1 B)) (tptp.k3_subset_1 _let_1 (tptp.k1_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.u1_struct_0 A))) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 _let_1)) (= (tptp.k1_tops_1 A (tptp.k3_subset_1 _let_1 B)) (tptp.k3_subset_1 _let_1 (tptp.k6_pre_topc A B)))))))) 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 $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 _let_1)) (=> (= (tptp.k4_subset_1 _let_1 B C) _let_1) (and (=> (tptp.v4_pre_topc B A) (= (tptp.k4_subset_1 _let_1 B (tptp.k1_tops_1 A C)) _let_1)) (=> (tptp.v4_pre_topc C A) (= (tptp.k4_subset_1 _let_1 (tptp.k1_tops_1 A B) C) _let_1))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (and (tptp.v3_pre_topc B A) (tptp.v4_pre_topc B A)) (= (tptp.k6_pre_topc A B) (tptp.k1_tops_1 A B))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (and (tptp.v3_pre_topc B A) (tptp.v4_pre_topc B A)) (= (tptp.k1_tops_1 A (tptp.k6_pre_topc A B)) (tptp.k6_pre_topc A (tptp.k1_tops_1 A B)))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (and (tptp.v4_tops_1 B A) (tptp.r1_tarski (tptp.k6_pre_topc A (tptp.k1_tops_1 A B)) (tptp.k1_tops_1 A (tptp.k6_pre_topc A B)))) (and (tptp.v6_tops_1 B A) (tptp.v5_tops_1 B A))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (and (tptp.v4_tops_1 B A) (tptp.r1_tarski (tptp.k6_pre_topc A (tptp.k1_tops_1 A B)) (tptp.k1_tops_1 A (tptp.k6_pre_topc A B)))) (and (tptp.v3_pre_topc B A) (tptp.v4_pre_topc B A))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k1_tops_1 A B))) (let ((_let_2 (tptp.k6_pre_topc A B))) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (tptp.v4_tops_1 B A) (and (= (tptp.k1_tops_1 A _let_2) _let_1) (= _let_2 (tptp.k6_pre_topc A _let_1)))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (= (tptp.v1_tdlat_3 A) (= (tptp.u1_pre_topc A) (tptp.k1_pcomps_1 (tptp.u1_struct_0 A)))))) (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (= (tptp.v2_tdlat_3 A) (= (tptp.u1_pre_topc A) (tptp.k2_tarski tptp.k1_xboole_0 (tptp.u1_struct_0 A)))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.l1_pre_topc A) (=> (and (tptp.v1_tdlat_3 A) (tptp.v2_tdlat_3 A)) (= (tptp.k1_pcomps_1 _let_1) (tptp.k2_tarski tptp.k1_xboole_0 _let_1)))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.u1_pre_topc A))) (=> (tptp.l1_pre_topc A) (=> (and (tptp.r2_hidden tptp.k1_xboole_0 _let_2) (tptp.r2_hidden _let_1 _let_2) (= (tptp.k1_pcomps_1 _let_1) (tptp.k2_tarski tptp.k1_xboole_0 _let_1))) (and (tptp.v1_tdlat_3 A) (tptp.v2_tdlat_3 A))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_tdlat_3 A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 _let_1)) (tptp.r2_hidden (tptp.k4_xboole_0 _let_1 B) (tptp.u1_pre_topc A))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_tdlat_3 A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_pre_topc A))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 _let_2)) (=> (tptp.r2_hidden B _let_1) (tptp.r2_hidden (tptp.k4_xboole_0 _let_2 B) _let_1)))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (=> (= (tptp.k1_pcomps_1 _let_1) (tptp.k2_tarski tptp.k1_xboole_0 _let_1)) (and (tptp.v1_tdlat_3 A) (tptp.v2_tdlat_3 A)))))) (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (= (tptp.v3_tdlat_3 A) (forall ((B $$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 _let_2)) (=> (tptp.r2_hidden B _let_1) (tptp.r2_hidden (tptp.k4_xboole_0 _let_2 B) _let_1))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (= (tptp.v1_tdlat_3 A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (tptp.v3_pre_topc B A)))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (= (tptp.v1_tdlat_3 A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (tptp.v4_pre_topc 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))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (=> (= B (tptp.k1_tarski C)) (tptp.v3_pre_topc B A)))))) (tptp.v1_tdlat_3 A)))) (forall ((A $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (= (tptp.v2_tdlat_3 A) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 _let_1)) (not (and (tptp.v3_pre_topc B A) (not (= B tptp.k1_xboole_0)) (not (= B _let_1)))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (= (tptp.v2_tdlat_3 A) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 _let_1)) (not (and (tptp.v4_pre_topc B A) (not (= B tptp.k1_xboole_0)) (not (= B _let_1)))))))))) (forall ((A $$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 _let_1) (=> (= B (tptp.k1_tarski C)) (= (tptp.k6_pre_topc A B) _let_1))))))) (tptp.v2_tdlat_3 A)))) (forall ((A $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (= (tptp.v3_tdlat_3 A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (tptp.v3_pre_topc B A) (tptp.v4_pre_topc B A))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (= (tptp.v3_tdlat_3 A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (tptp.v4_pre_topc B A) (tptp.v3_pre_topc B A))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (= (tptp.v3_tdlat_3 A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (tptp.v3_pre_topc B A) (= (tptp.k6_pre_topc A B) B))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (= (tptp.v3_tdlat_3 A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (tptp.v4_pre_topc B A) (= (tptp.k1_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 $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (=> (= B (tptp.k1_tarski C)) (tptp.v3_pre_topc (tptp.k6_pre_topc A B) A)))))) (tptp.v3_tdlat_3 A)))) (forall ((A $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (= (tptp.v1_tdlat_3 A) (and (tptp.v3_tdlat_3 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)) (=> (= B (tptp.k1_tarski C)) (tptp.v4_pre_topc B A)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (= (tptp.v4_tdlat_3 A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (tptp.v3_pre_topc B A) (tptp.v3_pre_topc (tptp.k6_pre_topc A B) A))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (= (tptp.v4_tdlat_3 A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (tptp.v4_pre_topc B A) (tptp.v4_pre_topc (tptp.k1_tops_1 A B) A))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (= (tptp.v4_tdlat_3 A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (and (tptp.v3_pre_topc B A) (tptp.v3_pre_topc C A) (tptp.r1_xboole_0 B C)) (tptp.r1_xboole_0 (tptp.k6_pre_topc A B) (tptp.k6_pre_topc A C)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (= (tptp.v4_tdlat_3 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.k4_subset_1 _let_1 B C) _let_1)) (= (tptp.k4_subset_1 _let_1 (tptp.k1_tops_1 A B) (tptp.k1_tops_1 A C)) _let_1)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (= (tptp.v4_tdlat_3 A) (forall ((B $$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) (= _let_1 (tptp.k1_tops_1 A _let_1))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (= (tptp.v4_tdlat_3 A) (forall ((B $$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.v4_pre_topc B A) (= _let_1 (tptp.k6_pre_topc A _let_1))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (= (tptp.v4_tdlat_3 A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (tptp.v4_tops_1 B A) (and (tptp.v4_pre_topc B A) (tptp.v3_pre_topc B A)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (= (tptp.v4_tdlat_3 A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (tptp.v4_tops_1 B A) (and (tptp.v5_tops_1 B A) (tptp.v6_tops_1 B A)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (= (tptp.v4_tdlat_3 A) (forall ((B $$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.k6_pre_topc A B)) (tptp.k6_pre_topc A (tptp.k1_tops_1 A B))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (= (tptp.v4_tdlat_3 A) (forall ((B $$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 B) (tptp.k6_pre_topc A B)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (= (tptp.v4_tdlat_3 A) (forall ((B $$unsorted)) (let ((_let_1 (tptp.v6_tops_1 B A))) (let ((_let_2 (tptp.v5_tops_1 B A))) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (and (=> _let_1 _let_2) (=> _let_2 _let_1))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (= (tptp.v5_tdlat_3 A) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.m1_pre_topc B A)) (tptp.v4_tdlat_3 B)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.v4_tdlat_3 A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.m1_pre_topc B A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (and (= C (tptp.u1_struct_0 B)) (tptp.v1_tops_1 C A)) (tptp.v4_tdlat_3 B)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (=> (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v1_borsuk_1 B A) (tptp.m1_pre_topc B A)) (tptp.v4_tdlat_3 B))) (tptp.v5_tdlat_3 A)))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.v4_tdlat_3 A) (tptp.l1_pre_topc A)) (= (tptp.k1_tdlat_1 A) (tptp.k5_tdlat_1 A)))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.v4_tdlat_3 A) (tptp.l1_pre_topc A)) (and (= (tptp.k2_tdlat_1 A) (tptp.k6_tdlat_1 A)) (= (tptp.k3_tdlat_1 A) (tptp.k7_tdlat_1 A))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.v4_tdlat_3 A) (tptp.l1_pre_topc A)) (= (tptp.k4_tdlat_1 A) (tptp.k8_tdlat_1 A)))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.v4_tdlat_3 A) (tptp.l1_pre_topc A)) (= (tptp.k1_tdlat_1 A) (tptp.k9_tdlat_1 A)))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.v4_tdlat_3 A) (tptp.l1_pre_topc A)) (and (= (tptp.k2_tdlat_1 A) (tptp.k10_tdlat_1 A)) (= (tptp.k3_tdlat_1 A) (tptp.k11_tdlat_1 A))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.v4_tdlat_3 A) (tptp.l1_pre_topc A)) (= (tptp.k4_tdlat_1 A) (tptp.k12_tdlat_1 A)))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.v4_tdlat_3 A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_tdlat_1 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_tdlat_1 A)) (and (= (tptp.k1_binop_1 (tptp.k2_tdlat_1 A) B C) (tptp.k2_xboole_0 B C)) (= (tptp.k1_binop_1 (tptp.k3_tdlat_1 A) B C) (tptp.k3_xboole_0 B C))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.v4_tdlat_3 A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 (tptp.k4_tdlat_1 A))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 (tptp.k4_tdlat_1 A))) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_tdlat_1 A)) (forall ((E $$unsorted)) (let ((_let_1 (tptp.k4_tdlat_1 A))) (=> (tptp.m1_subset_1 E (tptp.k1_tdlat_1 A)) (=> (and (= B D) (= C E)) (and (= (tptp.k3_lattices _let_1 B C) (tptp.k2_xboole_0 D E)) (= (tptp.k4_lattices _let_1 B C) (tptp.k3_xboole_0 D E))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.v4_tdlat_3 A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (=> (tptp.v1_tdlat_2 B A) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k4_tdlat_1 A))) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 _let_1))) (=> (= C B) (= (tptp.k15_lattice3 _let_1 C) (tptp.k6_pre_topc A (tptp.k5_setfam_1 (tptp.u1_struct_0 A) B)))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.v4_tdlat_3 A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (=> (tptp.v1_tdlat_2 B A) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k4_tdlat_1 A))) (let ((_let_2 (tptp.k16_lattice3 _let_1 C))) (let ((_let_3 (= C tptp.k1_xboole_0))) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 _let_1))) (=> (= C B) (and (=> (not _let_3) (= _let_2 (tptp.k1_tops_1 A (tptp.k6_setfam_1 (tptp.u1_struct_0 A) B)))) (=> _let_3 (= _let_2 (tptp.k2_pre_topc A))))))))))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k4_tdlat_1 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (= (tptp.v4_tdlat_3 A) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v10_lattices _let_1) (tptp.v12_lattices _let_1) (tptp.l3_lattices _let_1)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (=> (= (tptp.k4_tdlat_1 A) (tptp.k8_tdlat_1 A)) (tptp.v4_tdlat_3 A)))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (=> (= (tptp.k4_tdlat_1 A) (tptp.k12_tdlat_1 A)) (tptp.v4_tdlat_3 A)))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (=> (= (tptp.k8_tdlat_1 A) (tptp.k12_tdlat_1 A)) (tptp.v4_tdlat_3 A)))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k4_tdlat_1 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (= (tptp.v4_tdlat_3 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 $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (exists ((B $$unsorted)) (and (tptp.m1_relset_1 B (tptp.k13_finseq_1 A) A) (not (tptp.v1_xboole_0 B)) (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (tptp.v1_unialg_1 B A) (tptp.v2_unialg_1 B A))))) (exists ((A $$unsorted)) (and (tptp.l1_unialg_1 A) (tptp.v3_unialg_1 A))) (exists ((A $$unsorted)) (and (tptp.l1_unialg_1 A) (not (tptp.v3_struct_0 A)) (tptp.v3_unialg_1 A))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.g1_unialg_1 A B))) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.m1_finseq_1 B (tptp.k4_partfun1 (tptp.k13_finseq_1 A) A))) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v3_unialg_1 _let_1))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (exists ((B $$unsorted)) (and (tptp.m1_finseq_1 B (tptp.k4_partfun1 (tptp.k13_finseq_1 A) A)) (tptp.v1_relat_1 B) (tptp.v2_relat_1 B) (tptp.v1_funct_1 B) (tptp.v1_finseq_1 B) (tptp.v4_unialg_1 B A) (tptp.v5_unialg_1 B A))))) (exists ((A $$unsorted)) (and (tptp.l1_unialg_1 A) (not (tptp.v3_struct_0 A)) (tptp.v3_unialg_1 A) (tptp.v6_unialg_1 A) (tptp.v7_unialg_1 A) (tptp.v8_unialg_1 A))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.u1_unialg_1 A))) (=> (and (tptp.v6_unialg_1 A) (tptp.l1_unialg_1 A)) (and (tptp.v1_relat_1 _let_1) (tptp.v1_funct_1 _let_1) (tptp.v1_finseq_1 _let_1) (tptp.v4_unialg_1 _let_1 (tptp.u1_struct_0 A)))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.u1_unialg_1 A))) (=> (and (tptp.v7_unialg_1 A) (tptp.l1_unialg_1 A)) (and (tptp.v1_relat_1 _let_1) (tptp.v1_funct_1 _let_1) (tptp.v1_finseq_1 _let_1) (tptp.v5_unialg_1 _let_1 (tptp.u1_struct_0 A)))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.u1_unialg_1 A))) (=> (and (tptp.v8_unialg_1 A) (tptp.l1_unialg_1 A)) (and (not (tptp.v1_xboole_0 _let_1)) (tptp.v1_relat_1 _let_1) (tptp.v2_relat_1 _let_1) (tptp.v1_funct_1 _let_1) (tptp.v1_finseq_1 _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_funct_1 B) (tptp.m2_relset_1 B (tptp.k13_finseq_1 A) A)) (= (tptp.v1_unialg_1 B A) (forall ((C $$unsorted)) (=> (tptp.m2_finseq_1 C A) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k1_relat_1 B))) (=> (tptp.m2_finseq_1 D A) (=> (and (tptp.r2_hidden C _let_1) (tptp.r2_hidden D _let_1)) (= (tptp.k3_finseq_1 C) (tptp.k3_finseq_1 D))))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_funct_1 B) (tptp.m2_relset_1 B (tptp.k13_finseq_1 A) A)) (= (tptp.v2_unialg_1 B A) (forall ((C $$unsorted)) (=> (tptp.m2_finseq_1 C A) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k1_relat_1 B))) (=> (tptp.m2_finseq_1 D A) (=> (and (= (tptp.k3_finseq_1 C) (tptp.k3_finseq_1 D)) (tptp.r2_hidden C _let_1)) (tptp.r2_hidden D _let_1)))))))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.v1_xboole_0 B))) (let ((_let_2 (= (tptp.k1_relat_1 B) tptp.k1_xboole_0))) (=> (and (tptp.v1_funct_1 B) (tptp.m2_relset_1 B (tptp.k13_finseq_1 A) A)) (and (not (and (not _let_1) _let_2)) (not (and (not _let_2) _let_1))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k2_funcop_1 (tptp.k1_tarski (tptp.k6_finseq_1 A)) B))) (=> (tptp.m1_subset_1 B A) (and (not (tptp.v1_xboole_0 _let_1)) (tptp.v1_funct_1 _let_1) (tptp.v1_unialg_1 _let_1 A) (tptp.v2_unialg_1 _let_1 A) (tptp.m2_relset_1 _let_1 (tptp.k13_finseq_1 A) A))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B A) (tptp.m1_subset_1 (tptp.k2_funcop_1 (tptp.k1_tarski (tptp.k6_finseq_1 A)) B) (tptp.k4_partfun1 (tptp.k13_finseq_1 A) A)))))) true (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m2_finseq_1 B (tptp.k4_partfun1 (tptp.k13_finseq_1 A) A)) (= (tptp.v4_unialg_1 B A) (forall ((C $$unsorted)) (=> (tptp.m2_subset_1 C tptp.k1_numbers tptp.k5_numbers) (forall ((D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.m2_relset_1 D (tptp.k13_finseq_1 A) A)) (=> (and (tptp.r2_hidden C (tptp.k4_finseq_1 B)) (= D (tptp.k1_funct_1 B C))) (tptp.v1_unialg_1 D A))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m2_finseq_1 B (tptp.k4_partfun1 (tptp.k13_finseq_1 A) A)) (= (tptp.v5_unialg_1 B A) (forall ((C $$unsorted)) (=> (tptp.m2_subset_1 C tptp.k1_numbers tptp.k5_numbers) (forall ((D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.m2_relset_1 D (tptp.k13_finseq_1 A) A)) (=> (and (tptp.r2_hidden C (tptp.k4_finseq_1 B)) (= D (tptp.k1_funct_1 B C))) (tptp.v2_unialg_1 D A))))))))) true (forall ((A $$unsorted)) (=> (tptp.l1_unialg_1 A) (= (tptp.v6_unialg_1 A) (tptp.v4_unialg_1 (tptp.u1_unialg_1 A) (tptp.u1_struct_0 A))))) (forall ((A $$unsorted)) (=> (tptp.l1_unialg_1 A) (= (tptp.v7_unialg_1 A) (tptp.v5_unialg_1 (tptp.u1_unialg_1 A) (tptp.u1_struct_0 A))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.u1_unialg_1 A))) (=> (tptp.l1_unialg_1 A) (= (tptp.v8_unialg_1 A) (and (not (= _let_1 tptp.k1_xboole_0)) (tptp.v2_relat_1 _let_1)))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B A) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k1_unialg_1 A C))) (=> (tptp.m1_subset_1 C (tptp.k4_partfun1 (tptp.k13_finseq_1 A) A)) (=> (= C (tptp.k2_funcop_1 (tptp.k1_tarski (tptp.k6_finseq_1 A)) B)) (and (tptp.v4_unialg_1 _let_1 A) (tptp.v5_unialg_1 _let_1 A) (tptp.v2_relat_1 _let_1)))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.v1_funct_1 B) (tptp.v1_unialg_1 B A) (tptp.m2_relset_1 B (tptp.k13_finseq_1 A) A)) (forall ((C $$unsorted)) (=> (tptp.m2_subset_1 C tptp.k1_numbers tptp.k5_numbers) (= (= C (tptp.k2_unialg_1 A B)) (forall ((D $$unsorted)) (=> (tptp.m2_finseq_1 D A) (=> (tptp.r2_hidden D (tptp.k1_relat_1 B)) (= C (tptp.k3_finseq_1 D)))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v6_unialg_1 A) (tptp.v8_unialg_1 A) (tptp.l1_unialg_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.u1_unialg_1 A))) (let ((_let_3 (tptp.k1_funct_1 _let_2 B))) (=> (tptp.m2_subset_1 B tptp.k1_numbers tptp.k5_numbers) (=> (tptp.r2_hidden B (tptp.k4_finseq_1 _let_2)) (and (tptp.v1_funct_1 _let_3) (tptp.m2_relset_1 _let_3 (tptp.k13_finseq_1 _let_1) _let_1)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v6_unialg_1 A) (tptp.v8_unialg_1 A) (tptp.l1_unialg_1 A)) (forall ((B $$unsorted)) (=> (tptp.m2_finseq_1 B tptp.k5_numbers) (= (= B (tptp.k3_unialg_1 A)) (and (= (tptp.k3_finseq_1 B) (tptp.k3_finseq_1 (tptp.u1_unialg_1 A))) (forall ((C $$unsorted)) (=> (tptp.m2_subset_1 C tptp.k1_numbers tptp.k5_numbers) (=> (tptp.r2_hidden C (tptp.k4_finseq_1 B)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v1_xboole_0 D)) (tptp.v1_funct_1 D) (tptp.v1_unialg_1 D _let_1) (tptp.m2_relset_1 D (tptp.k13_finseq_1 _let_1) _let_1)) (=> (= D (tptp.k1_funct_1 (tptp.u1_unialg_1 A) C)) (= (tptp.k1_funct_1 B C) (tptp.k2_unialg_1 _let_1 D))))))))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_unialg_1 A) (tptp.l1_struct_0 A))) (exists ((A $$unsorted)) (tptp.l1_unialg_1 A)) (forall ((A $$unsorted)) (=> (tptp.l1_unialg_1 A) (=> (tptp.v3_unialg_1 A) (= A (tptp.g1_unialg_1 (tptp.u1_struct_0 A) (tptp.u1_unialg_1 A)))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k4_partfun1 (tptp.k13_finseq_1 A) A))) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.m1_subset_1 B _let_1)) (tptp.m2_finseq_1 (tptp.k1_unialg_1 A B) _let_1)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.m1_subset_1 B (tptp.k4_partfun1 (tptp.k13_finseq_1 A) A))) (= (tptp.k1_unialg_1 A B) (tptp.k5_finseq_1 B)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (not (tptp.v1_xboole_0 B)) (tptp.v1_funct_1 B) (tptp.v1_unialg_1 B A) (tptp.m1_relset_1 B (tptp.k13_finseq_1 A) A)) (tptp.m2_subset_1 (tptp.k2_unialg_1 A B) tptp.k1_numbers tptp.k5_numbers))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v6_unialg_1 A) (tptp.v8_unialg_1 A) (tptp.l1_unialg_1 A)) (tptp.m2_finseq_1 (tptp.k3_unialg_1 A) tptp.k5_numbers))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.l1_unialg_1 A) (tptp.m2_finseq_1 (tptp.u1_unialg_1 A) (tptp.k4_partfun1 (tptp.k13_finseq_1 _let_1) _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.g1_unialg_1 A B))) (=> (tptp.m1_finseq_1 B (tptp.k4_partfun1 (tptp.k13_finseq_1 A) A)) (and (tptp.v3_unialg_1 _let_1) (tptp.l1_unialg_1 _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_finseq_1 B (tptp.k4_partfun1 (tptp.k13_finseq_1 A) A)) (forall ((C $$unsorted) (D $$unsorted)) (=> (= (tptp.g1_unialg_1 A B) (tptp.g1_unialg_1 C D)) (and (= A C) (= B D)))))) (exists ((A $$unsorted)) (and (tptp.l1_struct_0 A) (tptp.v1_monoid_0 A))) (exists ((A $$unsorted)) (and (tptp.l1_struct_0 A) (tptp.v2_monoid_0 A))) (forall ((A $$unsorted)) (=> (and (tptp.v1_monoid_0 A) (tptp.l1_struct_0 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)))))) (forall ((A $$unsorted)) (=> (tptp.l1_struct_0 A) (=> (tptp.v2_monoid_0 A) (tptp.v1_monoid_0 A)))) (forall ((A $$unsorted)) (=> (tptp.l1_group_1 A) (=> (tptp.v2_monoid_0 A) (tptp.v1_monoid_0 A)))) (forall ((A $$unsorted)) (=> (and (tptp.v2_monoid_0 A) (tptp.l1_struct_0 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (tptp.v1_finset_1 B) (tptp.v1_finseq_1 B)))))) (exists ((A $$unsorted)) (and (tptp.l1_group_1 A) (not (tptp.v3_struct_0 A)) (tptp.v1_group_1 A) (tptp.v2_group_1 A) (tptp.v4_group_1 A) (tptp.v7_group_1 A) (tptp.v1_monoid_0 A) (tptp.v2_monoid_0 A) (tptp.v10_monoid_0 A) (tptp.v13_monoid_0 A) (tptp.v16_monoid_0 A) (tptp.v17_monoid_0 A))) (forall ((A $$unsorted)) (let ((_let_1 (not (tptp.v3_struct_0 A)))) (=> (tptp.l1_group_1 A) (=> (and _let_1 (tptp.v3_group_1 A) (tptp.v4_group_1 A)) (and _let_1 (tptp.v13_monoid_0 A)))))) (forall ((A $$unsorted)) (let ((_let_1 (not (tptp.v3_struct_0 A)))) (=> (tptp.l1_group_1 A) (=> (and _let_1 (tptp.v4_group_1 A) (tptp.v13_monoid_0 A)) (and _let_1 (tptp.v2_group_1 A) (tptp.v3_group_1 A)))))) (forall ((A $$unsorted)) (let ((_let_1 (not (tptp.v3_struct_0 A)))) (=> (tptp.l1_group_1 A) (=> (and _let_1 (tptp.v13_monoid_0 A)) (and _let_1 (tptp.v11_monoid_0 A) (tptp.v12_monoid_0 A)))))) (forall ((A $$unsorted)) (let ((_let_1 (not (tptp.v3_struct_0 A)))) (=> (tptp.l1_group_1 A) (=> (and _let_1 (tptp.v11_monoid_0 A) (tptp.v12_monoid_0 A)) (and _let_1 (tptp.v13_monoid_0 A)))))) (forall ((A $$unsorted)) (let ((_let_1 (not (tptp.v3_struct_0 A)))) (=> (tptp.l1_group_1 A) (=> (and _let_1 (tptp.v16_monoid_0 A)) (and _let_1 (tptp.v14_monoid_0 A) (tptp.v15_monoid_0 A)))))) (forall ((A $$unsorted)) (let ((_let_1 (not (tptp.v3_struct_0 A)))) (=> (tptp.l1_group_1 A) (=> (and _let_1 (tptp.v14_monoid_0 A) (tptp.v15_monoid_0 A)) (and _let_1 (tptp.v16_monoid_0 A)))))) (forall ((A $$unsorted)) (let ((_let_1 (not (tptp.v3_struct_0 A)))) (=> (tptp.l1_group_1 A) (=> (and _let_1 (tptp.v4_group_1 A) (tptp.v13_monoid_0 A)) (and _let_1 (tptp.v2_group_1 A) (tptp.v16_monoid_0 A)))))) (forall ((A $$unsorted)) (let ((_let_1 (not (tptp.v3_struct_0 A)))) (=> (tptp.l1_vectsp_1 A) (=> (and _let_1 (tptp.v1_vectsp_2 A)) (and _let_1 (tptp.v2_group_1 A) (tptp.v6_vectsp_1 A) (tptp.v8_vectsp_1 A)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.g1_vectsp_1 A B C))) (let ((_let_2 (tptp.k2_zfmisc_1 A A))) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_2 A) (tptp.m1_relset_1 B _let_2 A) (tptp.m1_subset_1 C A)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v1_vectsp_1 _let_1)))))) (exists ((A $$unsorted)) (and (tptp.l1_vectsp_1 A) (not (tptp.v3_struct_0 A)) (tptp.v2_group_1 A) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.v7_group_1 A) (tptp.v1_vectsp_1 A) (tptp.v6_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.v1_vectsp_2 A) (tptp.v1_monoid_0 A) (tptp.v2_monoid_0 A) (tptp.v10_monoid_0 A) (tptp.v11_monoid_0 A) (tptp.v12_monoid_0 A) (tptp.v13_monoid_0 A) (tptp.v14_monoid_0 A) (tptp.v15_monoid_0 A) (tptp.v16_monoid_0 A) (tptp.v17_monoid_0 A))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_monoid_0 B A) (not (tptp.v3_struct_0 B)))))) (forall ((A $$unsorted)) (=> (tptp.l1_group_1 A) (exists ((B $$unsorted)) (and (tptp.m1_monoid_0 B A) (tptp.v1_vectsp_1 B))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_monoid_0 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_monoid_0 B A) (tptp.v1_monoid_0 B))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_monoid_0 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_monoid_0 B A) (and (tptp.v1_monoid_0 B) (tptp.v2_monoid_0 B)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_monoid_0 B A) (and (not (tptp.v3_struct_0 B)) (tptp.v2_group_1 B) (tptp.v6_vectsp_1 B) (tptp.v8_vectsp_1 B)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_monoid_0 B A) (and (not (tptp.v3_struct_0 B)) (tptp.v4_group_1 B)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v7_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_monoid_0 B A) (and (not (tptp.v3_struct_0 B)) (tptp.v7_group_1 B)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v13_monoid_0 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_monoid_0 B A) (and (not (tptp.v3_struct_0 B)) (tptp.v11_monoid_0 B) (tptp.v12_monoid_0 B) (tptp.v13_monoid_0 B)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v16_monoid_0 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_monoid_0 B A) (and (not (tptp.v3_struct_0 B)) (tptp.v14_monoid_0 B) (tptp.v15_monoid_0 B) (tptp.v16_monoid_0 B)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v17_monoid_0 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_monoid_0 B A) (and (not (tptp.v3_struct_0 B)) (tptp.v17_monoid_0 B)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_group_1 A) (tptp.l1_group_1 A)) (exists ((B $$unsorted)) (and (tptp.m1_monoid_0 B A) (not (tptp.v3_struct_0 B)) (tptp.v2_group_1 B) (tptp.v1_vectsp_1 B) (tptp.v6_vectsp_1 B) (tptp.v8_vectsp_1 B) (tptp.v1_vectsp_2 B))))) (forall ((A $$unsorted)) (=> (tptp.l1_group_1 A) (exists ((B $$unsorted)) (and (tptp.m2_monoid_0 B A) (tptp.v1_group_1 B))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_group_1 A)) (exists ((B $$unsorted)) (and (tptp.m2_monoid_0 B A) (not (tptp.v3_struct_0 B)) (tptp.v1_group_1 B))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_group_1 A) (tptp.l1_group_1 A)) (exists ((B $$unsorted)) (and (tptp.m2_monoid_0 B A) (not (tptp.v3_struct_0 B)) (tptp.v1_group_1 B) (tptp.v2_group_1 B) (tptp.v3_group_1 B) (tptp.v4_group_1 B) (tptp.v7_group_1 B) (tptp.v10_monoid_0 B) (tptp.v11_monoid_0 B) (tptp.v12_monoid_0 B) (tptp.v13_monoid_0 B) (tptp.v14_monoid_0 B) (tptp.v15_monoid_0 B) (tptp.v16_monoid_0 B) (tptp.v17_monoid_0 B))))) (forall ((A $$unsorted)) (=> (tptp.l1_group_1 A) (exists ((B $$unsorted)) (and (tptp.m3_monoid_0 B A) (tptp.v1_vectsp_1 B))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_group_1 A)) (exists ((B $$unsorted)) (and (tptp.m3_monoid_0 B A) (not (tptp.v3_struct_0 B)) (tptp.v1_vectsp_1 B))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v1_vectsp_2 A) (tptp.l1_vectsp_1 A)) (exists ((B $$unsorted)) (and (tptp.m3_monoid_0 B A) (not (tptp.v3_struct_0 B)) (tptp.v2_group_1 B) (tptp.v3_group_1 B) (tptp.v4_group_1 B) (tptp.v7_group_1 B) (tptp.v1_vectsp_1 B) (tptp.v6_vectsp_1 B) (tptp.v8_vectsp_1 B) (tptp.v1_vectsp_2 B) (tptp.v10_monoid_0 B) (tptp.v11_monoid_0 B) (tptp.v12_monoid_0 B) (tptp.v13_monoid_0 B) (tptp.v14_monoid_0 B) (tptp.v15_monoid_0 B) (tptp.v16_monoid_0 B) (tptp.v17_monoid_0 B))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v1_monoid_0 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (not (tptp.v3_struct_0 B)))) (=> (tptp.m2_monoid_0 B A) (=> _let_1 (and _let_1 (tptp.v1_monoid_0 B)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v1_monoid_0 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (not (tptp.v3_struct_0 B)))) (=> (tptp.m3_monoid_0 B A) (=> _let_1 (and _let_1 (tptp.v1_monoid_0 B)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_monoid_0 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (not (tptp.v3_struct_0 B)))) (=> (tptp.m2_monoid_0 B A) (=> _let_1 (and _let_1 (tptp.v1_monoid_0 B) (tptp.v2_monoid_0 B)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_monoid_0 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (not (tptp.v3_struct_0 B)))) (=> (tptp.m3_monoid_0 B A) (=> _let_1 (and _let_1 (tptp.v1_monoid_0 B) (tptp.v2_monoid_0 B)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v1_vectsp_2 A) (tptp.l1_vectsp_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (not (tptp.v3_struct_0 B)))) (=> (tptp.m3_monoid_0 B A) (=> _let_1 (and _let_1 (tptp.v2_group_1 B) (tptp.v6_vectsp_1 B) (tptp.v8_vectsp_1 B) (tptp.v1_vectsp_2 B)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v7_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (not (tptp.v3_struct_0 B)))) (=> (tptp.m2_monoid_0 B A) (=> _let_1 (and _let_1 (tptp.v7_group_1 B)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v7_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (not (tptp.v3_struct_0 B)))) (=> (tptp.m3_monoid_0 B A) (=> _let_1 (and _let_1 (tptp.v7_group_1 B)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (not (tptp.v3_struct_0 B)))) (=> (tptp.m2_monoid_0 B A) (=> _let_1 (and _let_1 (tptp.v4_group_1 B)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (not (tptp.v3_struct_0 B)))) (=> (tptp.m3_monoid_0 B A) (=> _let_1 (and _let_1 (tptp.v4_group_1 B)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_monoid_0 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (not (tptp.v3_struct_0 B)))) (=> (tptp.m2_monoid_0 B A) (=> _let_1 (and _let_1 (tptp.v10_monoid_0 B)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_monoid_0 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (not (tptp.v3_struct_0 B)))) (=> (tptp.m3_monoid_0 B A) (=> _let_1 (and _let_1 (tptp.v10_monoid_0 B)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v16_monoid_0 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (not (tptp.v3_struct_0 B)))) (=> (tptp.m2_monoid_0 B A) (=> _let_1 (and _let_1 (tptp.v14_monoid_0 B) (tptp.v15_monoid_0 B) (tptp.v16_monoid_0 B)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v16_monoid_0 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (not (tptp.v3_struct_0 B)))) (=> (tptp.m3_monoid_0 B A) (=> _let_1 (and _let_1 (tptp.v14_monoid_0 B) (tptp.v15_monoid_0 B) (tptp.v16_monoid_0 B)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v1_vectsp_2 A) (tptp.v17_monoid_0 A) (tptp.l1_vectsp_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (not (tptp.v3_struct_0 B)))) (=> (tptp.m3_monoid_0 B A) (=> _let_1 (and _let_1 (tptp.v2_group_1 B) (tptp.v6_vectsp_1 B) (tptp.v8_vectsp_1 B) (tptp.v1_vectsp_2 B) (tptp.v17_monoid_0 B)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (not (tptp.v3_struct_0 B)))) (=> (tptp.m2_monoid_0 B A) (=> (and _let_1 (tptp.v4_group_1 B) (tptp.v13_monoid_0 B)) (and _let_1 (tptp.v2_group_1 B) (tptp.v3_group_1 B) (tptp.v14_monoid_0 B) (tptp.v15_monoid_0 B) (tptp.v16_monoid_0 B)))))))) (forall ((A $$unsorted)) (=> (tptp.l1_struct_0 A) (= (tptp.v1_monoid_0 A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B))))))) (forall ((A $$unsorted)) (=> (tptp.l1_struct_0 A) (= (tptp.v2_monoid_0 A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (tptp.v1_finseq_1 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.v3_monoid_0 B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C A) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D A) (exists ((E $$unsorted)) (and (tptp.m1_subset_1 E A) (= (tptp.k2_binop_1 A A A B E C) D))))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_1 A) (tptp.m2_relset_1 B _let_1 A)) (= (tptp.v4_monoid_0 B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C A) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D A) (exists ((E $$unsorted)) (and (tptp.m1_subset_1 E A) (= (tptp.k2_binop_1 A A A B C E) 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)) (= (tptp.v5_monoid_0 B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C A) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D A) (exists ((E $$unsorted)) (and (tptp.m1_subset_1 E A) (exists ((F $$unsorted)) (and (tptp.m1_subset_1 F A) (= (tptp.k2_binop_1 A A A B C E) D) (= (tptp.k2_binop_1 A A A B F C) 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)) (= (tptp.v6_monoid_0 B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C A) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D A) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E A) (=> (= (tptp.k2_binop_1 A A A B C D) (tptp.k2_binop_1 A A A B C E)) (= D E)))))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_1 A) (tptp.m2_relset_1 B _let_1 A)) (= (tptp.v7_monoid_0 B A) (forall ((C $$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 D C) (tptp.k2_binop_1 A A A B E 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.v8_monoid_0 B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C A) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D A) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E A) (=> (or (= (tptp.k2_binop_1 A A A B C D) (tptp.k2_binop_1 A A A B C E)) (= (tptp.k2_binop_1 A A A B D C) (tptp.k2_binop_1 A A A B E C))) (= D E)))))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_1 A) (tptp.m2_relset_1 B _let_1 A)) (= (tptp.v9_monoid_0 B A) (and (tptp.v1_setwiseo B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C A) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k3_binop_1 A B))) (=> (tptp.m1_subset_1 D A) (=> (= (tptp.k2_binop_1 A A A B C D) _let_1) (and (= C D) (= D _let_1))))))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_1 A) (tptp.m2_relset_1 B _let_1 A)) (= (tptp.v5_monoid_0 B A) (and (tptp.v3_monoid_0 B A) (tptp.v4_monoid_0 B A)))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_1 A) (tptp.m2_relset_1 B _let_1 A)) (= (tptp.v8_monoid_0 B A) (and (tptp.v6_monoid_0 B A) (tptp.v7_monoid_0 B A)))))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k1_tarski A))) (let ((_let_2 (tptp.k2_zfmisc_1 _let_1 _let_1))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_2 _let_1) (tptp.m2_relset_1 B _let_2 _let_1)) (and (= B (tptp.k2_funcop_1 (tptp.k1_tarski (tptp.k4_tarski A A)) A)) (tptp.v1_setwiseo B _let_1) (tptp.v1_binop_1 B _let_1) (tptp.v2_binop_1 B _let_1) (tptp.v3_binop_1 B _let_1) (tptp.v5_monoid_0 B _let_1) (tptp.v8_monoid_0 B _let_1) (tptp.v9_monoid_0 B _let_1)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_group_1 A)) (= (tptp.v2_group_1 A) (tptp.v1_setwiseo (tptp.u1_group_1 A) (tptp.u1_struct_0 A))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_group_1 A)) (= (tptp.v7_group_1 A) (tptp.v1_binop_1 (tptp.u1_group_1 A) (tptp.u1_struct_0 A))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_group_1 A)) (= (tptp.v4_group_1 A) (tptp.v2_binop_1 (tptp.u1_group_1 A) (tptp.u1_struct_0 A))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_group_1 A)) (= (tptp.v10_monoid_0 A) (tptp.v3_binop_1 (tptp.u1_group_1 A) (tptp.u1_struct_0 A))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_group_1 A)) (= (tptp.v11_monoid_0 A) (tptp.v3_monoid_0 (tptp.u1_group_1 A) (tptp.u1_struct_0 A))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_group_1 A)) (= (tptp.v12_monoid_0 A) (tptp.v4_monoid_0 (tptp.u1_group_1 A) (tptp.u1_struct_0 A))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_group_1 A)) (= (tptp.v13_monoid_0 A) (tptp.v5_monoid_0 (tptp.u1_group_1 A) (tptp.u1_struct_0 A))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_group_1 A)) (= (tptp.v14_monoid_0 A) (tptp.v6_monoid_0 (tptp.u1_group_1 A) (tptp.u1_struct_0 A))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_group_1 A)) (= (tptp.v15_monoid_0 A) (tptp.v7_monoid_0 (tptp.u1_group_1 A) (tptp.u1_struct_0 A))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_group_1 A)) (= (tptp.v16_monoid_0 A) (tptp.v8_monoid_0 (tptp.u1_group_1 A) (tptp.u1_struct_0 A))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_group_1 A)) (= (tptp.v17_monoid_0 A) (tptp.v9_monoid_0 (tptp.u1_group_1 A) (tptp.u1_struct_0 A))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.u1_group_1 A))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_group_1 A)) (=> (tptp.v2_group_1 A) (tptp.r3_binop_1 _let_2 (tptp.k3_binop_1 _let_2 _let_1) _let_1)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_group_1 A)) (= (tptp.v2_group_1 A) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.k3_binop_1 _let_1 (tptp.u1_group_1 A)))) (=> (tptp.m1_subset_1 B _let_1) (and (= (tptp.k1_group_1 A _let_2 B) B) (= (tptp.k1_group_1 A B _let_2) B))))))))) (forall ((A $$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 B C) C) (= (tptp.k1_group_1 A C B) C))))))))) true true (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_group_1 A)) (= (tptp.v10_monoid_0 A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (= (tptp.k1_group_1 A B B) B)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_group_1 A)) (= (tptp.v11_monoid_0 A) (forall ((B $$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.k1_group_1 A D B) C)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_group_1 A)) (= (tptp.v12_monoid_0 A) (forall ((B $$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.k1_group_1 A B D) C)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_group_1 A)) (= (tptp.v13_monoid_0 A) (forall ((B $$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)) (exists ((E $$unsorted)) (and (tptp.m1_subset_1 E (tptp.u1_struct_0 A)) (= (tptp.k1_group_1 A B D) C) (= (tptp.k1_group_1 A E B) C)))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_group_1 A)) (= (tptp.v14_monoid_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)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (=> (= (tptp.k1_group_1 A B C) (tptp.k1_group_1 A B D)) (= C D))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_group_1 A)) (= (tptp.v15_monoid_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)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (=> (= (tptp.k1_group_1 A C B) (tptp.k1_group_1 A D B)) (= C D))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_group_1 A)) (= (tptp.v16_monoid_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)) (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.l1_group_1 A)) (= (tptp.v17_monoid_0 A) (and (tptp.v1_setwiseo (tptp.u1_group_1 A) (tptp.u1_struct_0 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))) (let ((_let_2 (tptp.k3_binop_1 _let_1 (tptp.u1_group_1 A)))) (=> (tptp.m1_subset_1 C _let_1) (=> (= (tptp.k1_group_1 A B C) _let_2) (and (= B C) (= C _let_2))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_group_1 A)) (=> (tptp.v4_group_1 A) (= (tptp.v13_monoid_0 A) (and (tptp.v2_group_1 A) (tptp.v1_finseqop (tptp.u1_group_1 A) (tptp.u1_struct_0 A))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_vectsp_1 A)) (= (tptp.v1_vectsp_2 A) (tptp.r3_binop_1 (tptp.u1_struct_0 A) (tptp.u1_vectsp_1 A) (tptp.u1_group_1 A))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_vectsp_1 A)) (= (tptp.v1_vectsp_2 A) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_vectsp_1 A))) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (and (= (tptp.k1_group_1 A _let_1 B) B) (= (tptp.k1_group_1 A B _let_1) B)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_vectsp_1 A)) (=> (tptp.v1_vectsp_2 A) (= (tptp.u1_vectsp_1 A) (tptp.k3_binop_1 (tptp.u1_struct_0 A) (tptp.u1_group_1 A)))))) (forall ((A $$unsorted)) (=> (tptp.l1_group_1 A) (forall ((B $$unsorted)) (=> (tptp.l1_vectsp_1 B) (= (tptp.m1_monoid_0 B A) (= (tptp.g1_group_1 (tptp.u1_struct_0 B) (tptp.u1_group_1 B)) (tptp.g1_group_1 (tptp.u1_struct_0 A) (tptp.u1_group_1 A)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_monoid_0 B A) (and (= (tptp.u1_struct_0 B) (tptp.u1_struct_0 A)) (= (tptp.u1_group_1 B) (tptp.u1_group_1 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 B)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 B)) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.u1_struct_0 A)) (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F (tptp.u1_struct_0 A)) (=> (and (= C E) (= D F)) (= (tptp.k1_group_1 B C D) (tptp.k1_group_1 A E F)))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_monoid_0 B A) (and (=> (tptp.v2_group_1 A) (tptp.v2_group_1 B)) (=> (tptp.v7_group_1 A) (tptp.v7_group_1 B)) (=> (tptp.v4_group_1 A) (tptp.v4_group_1 B)) (=> (tptp.v13_monoid_0 A) (tptp.v13_monoid_0 B)) (=> (tptp.v17_monoid_0 A) (tptp.v17_monoid_0 B)) (=> (tptp.v16_monoid_0 A) (tptp.v16_monoid_0 B))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_vectsp_1 B) (tptp.v1_vectsp_2 B) (tptp.m1_monoid_0 B A)) (forall ((C $$unsorted)) (=> (and (tptp.v1_vectsp_1 C) (tptp.v1_vectsp_2 C) (tptp.m1_monoid_0 C A)) (= B C))))))) (forall ((A $$unsorted)) (=> (tptp.l1_group_1 A) (forall ((B $$unsorted)) (=> (tptp.l1_group_1 B) (= (tptp.m2_monoid_0 B A) (tptp.r1_tarski (tptp.u1_group_1 B) (tptp.u1_group_1 A))))))) (forall ((A $$unsorted)) (=> (tptp.l1_group_1 A) (forall ((B $$unsorted)) (=> (tptp.l1_vectsp_1 B) (= (tptp.m3_monoid_0 B A) (and (tptp.r1_tarski (tptp.u1_group_1 B) (tptp.u1_group_1 A)) (forall ((C $$unsorted)) (=> (tptp.l1_vectsp_1 C) (=> (= A C) (= (tptp.u1_vectsp_1 B) (tptp.u1_vectsp_1 C))))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_vectsp_1 A) (forall ((B $$unsorted)) (=> (tptp.l1_vectsp_1 B) (= (tptp.m3_monoid_0 B A) (and (tptp.r1_tarski (tptp.u1_group_1 B) (tptp.u1_group_1 A)) (= (tptp.u1_vectsp_1 B) (tptp.u1_vectsp_1 A)))))))) (forall ((A $$unsorted)) (=> (tptp.l1_group_1 A) (forall ((B $$unsorted)) (=> (tptp.m3_monoid_0 B A) (tptp.m2_monoid_0 B A))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.l1_vectsp_1 B)) (and (tptp.m2_monoid_0 A A) (tptp.m3_monoid_0 B B)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.m2_monoid_0 B A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v3_struct_0 C)) (tptp.m3_monoid_0 C A)) (and (tptp.r1_tarski (tptp.u1_struct_0 B) _let_1) (tptp.r1_tarski (tptp.u1_struct_0 C) _let_1))))))))) (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.m2_monoid_0 B A)) (= (tptp.u1_group_1 B) (tptp.k1_realset1 (tptp.u1_group_1 A) (tptp.u1_struct_0 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.m2_monoid_0 B A)) (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)) (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 (= C E) (= D F)) (= (tptp.k1_group_1 B C D) (tptp.k1_group_1 A E F))))))))))))))) (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.m2_monoid_0 B A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 C))) (let ((_let_2 (tptp.u1_struct_0 B))) (=> (and (not (tptp.v3_struct_0 C)) (tptp.m2_monoid_0 C A)) (=> (= _let_2 _let_1) (= (tptp.g1_group_1 _let_2 (tptp.u1_group_1 B)) (tptp.g1_group_1 _let_1 (tptp.u1_group_1 C)))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_vectsp_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.m3_monoid_0 B A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 C))) (let ((_let_2 (tptp.u1_struct_0 B))) (=> (and (not (tptp.v3_struct_0 C)) (tptp.m3_monoid_0 C A)) (=> (= _let_2 _let_1) (= (tptp.g1_vectsp_1 _let_2 (tptp.u1_group_1 B) (tptp.u1_vectsp_1 B)) (tptp.g1_vectsp_1 _let_1 (tptp.u1_group_1 C) (tptp.u1_vectsp_1 C)))))))))))) (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.m2_monoid_0 B A)) (forall ((C $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.m2_monoid_0 C A)) (=> (tptp.r1_tarski (tptp.u1_struct_0 B) (tptp.u1_struct_0 C)) (tptp.m5_monoid_0 B A C)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_vectsp_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.m3_monoid_0 B A)) (forall ((C $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.m3_monoid_0 C A)) (=> (tptp.r1_tarski (tptp.u1_struct_0 B) (tptp.u1_struct_0 C)) (tptp.m7_monoid_0 B A C)))))))) (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 B))) (let ((_let_2 (tptp.k3_binop_1 (tptp.u1_struct_0 A) (tptp.u1_group_1 A)))) (=> (and (not (tptp.v3_struct_0 B)) (tptp.m2_monoid_0 B A)) (=> (and (tptp.v2_group_1 A) (tptp.r2_hidden _let_2 _let_1)) (and (tptp.v2_group_1 B) (= _let_2 (tptp.k3_binop_1 _let_1 (tptp.u1_group_1 B))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v1_vectsp_2 A) (tptp.l1_vectsp_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.m3_monoid_0 B A)) (tptp.v1_vectsp_2 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.m2_monoid_0 B A)) (=> (tptp.v7_group_1 A) (tptp.v7_group_1 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.m2_monoid_0 B A)) (=> (tptp.v4_group_1 A) (tptp.v4_group_1 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.m2_monoid_0 B A)) (=> (tptp.v10_monoid_0 A) (tptp.v10_monoid_0 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.m2_monoid_0 B A)) (=> (tptp.v16_monoid_0 A) (tptp.v16_monoid_0 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.m2_monoid_0 B A)) (=> (and (tptp.r2_hidden (tptp.k3_binop_1 (tptp.u1_struct_0 A) (tptp.u1_group_1 A)) (tptp.u1_struct_0 B)) (tptp.v17_monoid_0 A)) (tptp.v17_monoid_0 B)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v1_vectsp_2 A) (tptp.v17_monoid_0 A) (tptp.l1_vectsp_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.m3_monoid_0 B A)) (tptp.v17_monoid_0 B))))) (= tptp.k5_monoid_0 _let_23) (and (= _let_22 tptp.k1_numbers) (= _let_21 tptp.k33_binop_2) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A (tptp.u1_struct_0 tptp.k5_monoid_0)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 tptp.k5_monoid_0)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C tptp.k1_numbers) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D tptp.k1_numbers) (=> (and (= A C) (= B D)) (= (tptp.k10_group_1 tptp.k5_monoid_0 A B) (tptp.k9_binop_2 C D)))))))))))) (forall ((A $$unsorted)) (= (tptp.m1_subset_1 A (tptp.u1_struct_0 tptp.k5_monoid_0)) (tptp.m1_subset_1 A tptp.k1_numbers))) (= (tptp.k3_binop_1 _let_22 _let_21) tptp.np__0) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.m2_monoid_0 A tptp.k5_monoid_0)) (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 $$unsorted)) (=> (tptp.m1_subset_1 D tptp.k1_numbers) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E tptp.k1_numbers) (=> (and (= B D) (= C E)) (= (tptp.k10_group_1 A B C) (tptp.k9_binop_2 D E))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_group_1 A) (tptp.m2_monoid_0 A tptp.k5_monoid_0)) (= (tptp.k3_binop_1 (tptp.u1_struct_0 A) (tptp.u1_group_1 A)) tptp.np__0))) true (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v1_group_1 A) (tptp.m2_monoid_0 A tptp.k5_monoid_0)) (= (= A tptp.k6_monoid_0) (= (tptp.u1_struct_0 A) tptp.k4_numbers)))) (forall ((A $$unsorted)) (= (tptp.m1_subset_1 A (tptp.u1_struct_0 tptp.k6_monoid_0)) (tptp.v1_int_1 A))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v1_group_1 A) (tptp.v2_group_1 A) (tptp.v17_monoid_0 A) (tptp.m5_monoid_0 A tptp.k5_monoid_0 tptp.k6_monoid_0)) (= (= A tptp.k7_monoid_0) (= (tptp.u1_struct_0 A) tptp.k5_numbers)))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v1_vectsp_1 A) (tptp.v1_vectsp_2 A) (tptp.m1_monoid_0 A tptp.k7_monoid_0)) (= A tptp.k8_monoid_0))) (= tptp.k47_binop_2 (tptp.u1_group_1 tptp.k7_monoid_0)) true (= tptp.k7_monoid_0 (tptp.g1_group_1 tptp.k5_numbers tptp.k47_binop_2)) (forall ((A $$unsorted)) (= (tptp.m1_subset_1 A (tptp.u1_struct_0 tptp.k8_monoid_0)) (tptp.m2_subset_1 A tptp.k1_numbers tptp.k5_numbers))) (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 $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 tptp.k8_monoid_0)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 tptp.k8_monoid_0)) (=> (and (= A C) (= B D)) (= (tptp.k10_group_1 tptp.k8_monoid_0 C D) (tptp.k23_binop_2 A B))))))))))) (= tptp.k8_monoid_0 (tptp.g1_vectsp_1 tptp.k5_numbers tptp.k47_binop_2 tptp.np__0)) (and (= tptp.k47_binop_2 (tptp.k1_realset1 tptp.k33_binop_2 tptp.k5_numbers)) (= tptp.k47_binop_2 (tptp.k1_realset1 tptp.k44_binop_2 tptp.k5_numbers))) (and (tptp.r3_binop_1 tptp.k5_numbers tptp.np__0 tptp.k47_binop_2) (tptp.v9_monoid_0 tptp.k47_binop_2 tptp.k5_numbers)) (= tptp.k9_monoid_0 (tptp.g1_group_1 tptp.k1_numbers tptp.k35_binop_2)) (and (= _let_20 tptp.k1_numbers) (= _let_19 tptp.k35_binop_2) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A (tptp.u1_struct_0 tptp.k9_monoid_0)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 tptp.k9_monoid_0)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C tptp.k1_numbers) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D tptp.k1_numbers) (=> (and (= A C) (= B D)) (= (tptp.k10_group_1 tptp.k9_monoid_0 A B) (tptp.k11_binop_2 C D)))))))))))) (forall ((A $$unsorted)) (= (tptp.m1_subset_1 A (tptp.u1_struct_0 tptp.k9_monoid_0)) (tptp.m1_subset_1 A tptp.k1_numbers))) (= (tptp.k3_binop_1 _let_20 _let_19) tptp.np__1) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.m2_monoid_0 A tptp.k9_monoid_0)) (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 $$unsorted)) (=> (tptp.m1_subset_1 D tptp.k1_numbers) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E tptp.k1_numbers) (=> (and (= B D) (= C E)) (= (tptp.k10_group_1 A B C) (tptp.k11_binop_2 D E))))))))))))) true (forall ((A $$unsorted)) (let ((_let_1 (tptp.k3_binop_1 (tptp.u1_struct_0 A) (tptp.u1_group_1 A)))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_group_1 A) (tptp.m2_monoid_0 A tptp.k9_monoid_0)) (or (= _let_1 tptp.np__0) (= _let_1 tptp.np__1))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v1_group_1 A) (tptp.v2_group_1 A) (tptp.v17_monoid_0 A) (tptp.m2_monoid_0 A tptp.k9_monoid_0)) (= (= A tptp.k10_monoid_0) (= (tptp.u1_struct_0 A) tptp.k5_numbers)))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v1_vectsp_1 A) (tptp.v1_vectsp_2 A) (tptp.m1_monoid_0 A tptp.k10_monoid_0)) (= A tptp.k11_monoid_0))) (= tptp.k48_binop_2 _let_18) (= tptp.k10_monoid_0 (tptp.g1_group_1 tptp.k5_numbers tptp.k48_binop_2)) (forall ((A $$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.m1_subset_1 C (tptp.u1_struct_0 tptp.k10_monoid_0)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 tptp.k10_monoid_0)) (=> (and (= A C) (= B D)) (= (tptp.k10_group_1 tptp.k10_monoid_0 C D) (tptp.k24_binop_2 A B))))))))))) (= (tptp.k3_binop_1 (tptp.u1_struct_0 tptp.k10_monoid_0) _let_18) tptp.np__1) (forall ((A $$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.m1_subset_1 C (tptp.u1_struct_0 tptp.k11_monoid_0)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 tptp.k11_monoid_0)) (=> (and (= A C) (= B D)) (= (tptp.k10_group_1 tptp.k11_monoid_0 C D) (tptp.k24_binop_2 A B))))))))))) (= tptp.k11_monoid_0 (tptp.g1_vectsp_1 tptp.k5_numbers tptp.k48_binop_2 tptp.np__1)) (= tptp.k48_binop_2 (tptp.k1_realset1 tptp.k35_binop_2 tptp.k5_numbers)) (and (tptp.r3_binop_1 tptp.k5_numbers tptp.np__1 tptp.k48_binop_2) (tptp.v9_monoid_0 tptp.k48_binop_2 tptp.k5_numbers)) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v1_group_1 B) (tptp.v2_group_1 B) (tptp.v4_group_1 B) (tptp.v2_monoid_0 B) (tptp.v16_monoid_0 B) (tptp.v17_monoid_0 B) (tptp.l1_group_1 B)) (= (= B (tptp.k12_monoid_0 A)) (and (= (tptp.u1_struct_0 B) (tptp.k3_finseq_2 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 B)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 B)) (= (tptp.k4_monoid_0 B C D) (tptp.k7_finseq_1 C D)))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v1_vectsp_1 B) (tptp.v1_vectsp_2 B) (tptp.m1_monoid_0 B (tptp.k12_monoid_0 A))) (= B (tptp.k13_monoid_0 A)))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (= (tptp.k14_monoid_0 A) (tptp.u1_group_1 (tptp.k12_monoid_0 A))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (= (tptp.k12_monoid_0 A) (tptp.g1_group_1 (tptp.k3_finseq_2 A) (tptp.k14_monoid_0 A))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k12_monoid_0 A))) (=> (not (tptp.v1_xboole_0 A)) (= (tptp.k3_binop_1 (tptp.u1_struct_0 _let_1) (tptp.u1_group_1 _let_1)) tptp.k1_xboole_0)))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k13_monoid_0 A))) (=> (not (tptp.v1_xboole_0 A)) (and (= (tptp.u1_struct_0 _let_1) (tptp.k3_finseq_2 A)) (= (tptp.u1_group_1 _let_1) (tptp.k14_monoid_0 A)) (= (tptp.u1_vectsp_1 _let_1) tptp.k1_xboole_0))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 (tptp.k13_monoid_0 A))) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k13_monoid_0 A))) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 _let_1)) (= (tptp.k4_monoid_0 _let_1 B C) (tptp.k7_finseq_1 B C))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.m2_monoid_0 B (tptp.k12_monoid_0 A))) (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.k4_monoid_0 B C D) (tptp.k7_finseq_1 C D)))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_group_1 B) (tptp.m2_monoid_0 B (tptp.k12_monoid_0 A))) (= (tptp.k3_binop_1 (tptp.u1_struct_0 B) (tptp.u1_group_1 B)) tptp.k1_xboole_0))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (=> (and (not (tptp.v3_struct_0 B)) (tptp.m2_monoid_0 B (tptp.k12_monoid_0 A))) (=> (tptp.m1_subset_1 tptp.k1_xboole_0 _let_1) (and (tptp.v2_group_1 B) (= (tptp.k3_binop_1 _let_1 (tptp.u1_group_1 B)) tptp.k1_xboole_0)))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (=> (tptp.r1_tarski A B) (tptp.m2_monoid_0 (tptp.k12_monoid_0 A) (tptp.k12_monoid_0 B))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k3_finseq_2 A))) (let ((_let_2 (tptp.k14_monoid_0 A))) (=> (not (tptp.v1_xboole_0 A)) (and (tptp.v1_setwiseo _let_2 _let_1) (= (tptp.k3_binop_1 _let_1 _let_2) tptp.k1_xboole_0) (tptp.v2_binop_1 _let_2 _let_1)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v1_group_1 B) (tptp.v2_group_1 B) (tptp.v4_group_1 B) (tptp.v1_monoid_0 B) (tptp.l1_group_1 B)) (= (= B (tptp.k15_monoid_0 A)) (and (= (tptp.u1_struct_0 B) (tptp.k4_partfun1 A A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 B)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 B)) (= (tptp.k4_monoid_0 B C D) (tptp.k5_relat_1 D C)))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v1_vectsp_1 B) (tptp.v1_vectsp_2 B) (tptp.m1_monoid_0 B (tptp.k15_monoid_0 A))) (= B (tptp.k16_monoid_0 A)))) (forall ((A $$unsorted)) (= (tptp.k17_monoid_0 A) (tptp.u1_group_1 (tptp.k15_monoid_0 A)))) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.m1_subset_1 A (tptp.u1_struct_0 (tptp.k15_monoid_0 B))) (and (tptp.v1_funct_1 A) (tptp.m2_relset_1 A B B)))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k15_monoid_0 A))) (= (tptp.k3_binop_1 (tptp.u1_struct_0 _let_1) (tptp.u1_group_1 _let_1)) (tptp.k6_partfun1 A)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.m2_monoid_0 B (tptp.k15_monoid_0 A))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 B)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 B)) (= (tptp.k4_monoid_0 B C D) (tptp.k5_relat_1 D C)))))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k6_partfun1 A))) (let ((_let_2 (tptp.u1_struct_0 B))) (=> (and (not (tptp.v3_struct_0 B)) (tptp.m2_monoid_0 B (tptp.k15_monoid_0 A))) (=> (tptp.m1_subset_1 _let_1 _let_2) (and (tptp.v2_group_1 B) (= (tptp.k3_binop_1 _let_2 (tptp.u1_group_1 B)) _let_1))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.r1_tarski A B) (tptp.m2_monoid_0 (tptp.k15_monoid_0 A) (tptp.k15_monoid_0 B)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v1_group_1 B) (tptp.v2_group_1 B) (tptp.m2_monoid_0 B (tptp.k15_monoid_0 A))) (= (= B (tptp.k18_monoid_0 A)) (= (tptp.u1_struct_0 B) (tptp.k1_funct_2 A A))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_vectsp_1 B) (tptp.v1_vectsp_2 B) (tptp.m1_monoid_0 B (tptp.k18_monoid_0 A))) (= B (tptp.k19_monoid_0 A)))) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.m1_subset_1 A (tptp.u1_struct_0 (tptp.k18_monoid_0 B))) (and (tptp.v1_funct_1 A) (tptp.v1_funct_2 A B B) (tptp.m2_relset_1 A B B)))) (forall ((A $$unsorted)) (= (tptp.u1_group_1 (tptp.k18_monoid_0 A)) (tptp.k1_realset1 (tptp.k17_monoid_0 A) (tptp.k1_funct_2 A A)))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k18_monoid_0 A))) (= (tptp.k3_binop_1 (tptp.u1_struct_0 _let_1) (tptp.u1_group_1 _let_1)) (tptp.k6_partfun1 A)))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k19_monoid_0 A))) (let ((_let_2 (tptp.k1_funct_2 A A))) (and (= (tptp.u1_struct_0 _let_1) _let_2) (= (tptp.u1_group_1 _let_1) (tptp.k1_realset1 (tptp.k17_monoid_0 A) _let_2)) (= (tptp.u1_vectsp_1 _let_1) (tptp.k6_partfun1 A)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v1_group_1 B) (tptp.v2_group_1 B) (tptp.v13_monoid_0 B) (tptp.m5_monoid_0 B (tptp.k15_monoid_0 A) (tptp.k18_monoid_0 A))) (= (= B (tptp.k20_monoid_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 (tptp.k18_monoid_0 A))) (= (tptp.r2_hidden C (tptp.u1_struct_0 B)) (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C A A) (tptp.v3_funct_2 C A A) (tptp.m2_relset_1 C A A)))))))) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.m1_subset_1 A (tptp.u1_struct_0 (tptp.k20_monoid_0 B))) (and (tptp.v1_funct_1 A) (tptp.v1_funct_2 A B B) (tptp.v3_funct_2 A B B) (tptp.m2_relset_1 A B B)))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k6_partfun1 A))) (let ((_let_2 (tptp.k20_monoid_0 A))) (and (= (tptp.k3_binop_1 (tptp.u1_struct_0 _let_2) (tptp.u1_group_1 _let_2)) _let_1) (= (tptp.k2_group_1 _let_2) _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k20_monoid_0 A))) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 _let_1)) (= (tptp.k3_group_1 _let_1 B) (tptp.k2_funct_1 B))))) (forall ((A $$unsorted)) (=> (tptp.l1_struct_0 A) (=> (tptp.v1_fraenkel (tptp.u1_struct_0 A)) (tptp.v1_monoid_0 A)))) (=> (forall ((A $$unsorted)) (=> (tptp.m1_struct_0 A tptp.f1_s1_monoid_0 tptp.f2_s1_monoid_0) (forall ((B $$unsorted)) (=> (tptp.m1_struct_0 B tptp.f1_s1_monoid_0 tptp.f2_s1_monoid_0) (tptp.r2_hidden (tptp.k1_group_1 tptp.f1_s1_monoid_0 A B) tptp.f2_s1_monoid_0))))) (exists ((A $$unsorted)) (and (not (tptp.v3_struct_0 A)) (tptp.v1_group_1 A) (tptp.m2_monoid_0 A tptp.f1_s1_monoid_0) (= (tptp.u1_struct_0 A) tptp.f2_s1_monoid_0)))) (=> (and (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A (tptp.u1_struct_0 tptp.f1_s2_monoid_0)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 tptp.f1_s2_monoid_0)) (=> (and (tptp.p1_s2_monoid_0 A) (tptp.p1_s2_monoid_0 B)) (tptp.p1_s2_monoid_0 (tptp.k1_group_1 tptp.f1_s2_monoid_0 A B))))))) (exists ((A $$unsorted)) (and (tptp.m1_subset_1 A (tptp.u1_struct_0 tptp.f1_s2_monoid_0)) (tptp.p1_s2_monoid_0 A)))) (exists ((A $$unsorted)) (and (not (tptp.v3_struct_0 A)) (tptp.v1_group_1 A) (tptp.m2_monoid_0 A tptp.f1_s2_monoid_0) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 tptp.f1_s2_monoid_0)) (= (tptp.r2_hidden B (tptp.u1_struct_0 A)) (tptp.p1_s2_monoid_0 B))))))) (=> (and (forall ((A $$unsorted)) (=> (tptp.m1_struct_0 A tptp.f1_s3_monoid_0 tptp.f2_s3_monoid_0) (forall ((B $$unsorted)) (=> (tptp.m1_struct_0 B tptp.f1_s3_monoid_0 tptp.f2_s3_monoid_0) (tptp.r2_hidden (tptp.k1_group_1 tptp.f1_s3_monoid_0 A B) tptp.f2_s3_monoid_0))))) (tptp.r2_hidden (tptp.u1_vectsp_1 tptp.f1_s3_monoid_0) tptp.f2_s3_monoid_0)) (exists ((A $$unsorted)) (and (not (tptp.v3_struct_0 A)) (tptp.v1_vectsp_1 A) (tptp.m3_monoid_0 A tptp.f1_s3_monoid_0) (= (tptp.u1_struct_0 A) tptp.f2_s3_monoid_0)))) (=> (and (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A (tptp.u1_struct_0 tptp.f1_s4_monoid_0)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 tptp.f1_s4_monoid_0)) (=> (and (tptp.p1_s4_monoid_0 A) (tptp.p1_s4_monoid_0 B)) (tptp.p1_s4_monoid_0 (tptp.k1_group_1 tptp.f1_s4_monoid_0 A B))))))) (tptp.p1_s4_monoid_0 (tptp.u1_vectsp_1 tptp.f1_s4_monoid_0))) (exists ((A $$unsorted)) (and (not (tptp.v3_struct_0 A)) (tptp.v1_vectsp_1 A) (tptp.m3_monoid_0 A tptp.f1_s4_monoid_0) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 tptp.f1_s4_monoid_0)) (= (tptp.r2_hidden B (tptp.u1_struct_0 A)) (tptp.p1_s4_monoid_0 B))))))) (forall ((A $$unsorted)) (=> (tptp.l1_group_1 A) (forall ((B $$unsorted)) (=> (tptp.m1_monoid_0 B A) (tptp.l1_vectsp_1 B))))) (forall ((A $$unsorted)) (=> (tptp.l1_group_1 A) (exists ((B $$unsorted)) (tptp.m1_monoid_0 B A)))) (forall ((A $$unsorted)) (=> (tptp.l1_group_1 A) (forall ((B $$unsorted)) (=> (tptp.m2_monoid_0 B A) (tptp.l1_group_1 B))))) (forall ((A $$unsorted)) (=> (tptp.l1_group_1 A) (exists ((B $$unsorted)) (tptp.m2_monoid_0 B A)))) (forall ((A $$unsorted)) (=> (tptp.l1_group_1 A) (forall ((B $$unsorted)) (=> (tptp.m3_monoid_0 B A) (tptp.l1_vectsp_1 B))))) (forall ((A $$unsorted)) (=> (tptp.l1_group_1 A) (exists ((B $$unsorted)) (tptp.m3_monoid_0 B A)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.l1_group_1 A) (tptp.m1_monoid_0 B A)) (forall ((C $$unsorted)) (=> (tptp.m4_monoid_0 C A B) (tptp.m2_monoid_0 C A))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.l1_group_1 A) (tptp.m1_monoid_0 B A)) (exists ((C $$unsorted)) (tptp.m4_monoid_0 C A B)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.l1_group_1 A) (tptp.m1_monoid_0 B A)) (forall ((C $$unsorted)) (= (tptp.m4_monoid_0 C A B) (tptp.m2_monoid_0 C B))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.l1_group_1 A) (tptp.m2_monoid_0 B A)) (forall ((C $$unsorted)) (=> (tptp.m5_monoid_0 C A B) (tptp.m2_monoid_0 C A))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.l1_group_1 A) (tptp.m2_monoid_0 B A)) (exists ((C $$unsorted)) (tptp.m5_monoid_0 C A B)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.l1_group_1 A) (tptp.m2_monoid_0 B A)) (forall ((C $$unsorted)) (= (tptp.m5_monoid_0 C A B) (tptp.m2_monoid_0 C B))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.l1_group_1 A) (tptp.m3_monoid_0 B A)) (forall ((C $$unsorted)) (=> (tptp.m6_monoid_0 C A B) (tptp.m2_monoid_0 C A))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.l1_group_1 A) (tptp.m3_monoid_0 B A)) (exists ((C $$unsorted)) (tptp.m6_monoid_0 C A B)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.l1_group_1 A) (tptp.m3_monoid_0 B A)) (forall ((C $$unsorted)) (= (tptp.m6_monoid_0 C A B) (tptp.m2_monoid_0 C B))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.l1_group_1 A) (tptp.m3_monoid_0 B A)) (forall ((C $$unsorted)) (=> (tptp.m7_monoid_0 C A B) (tptp.m3_monoid_0 C A))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.l1_group_1 A) (tptp.m3_monoid_0 B A)) (exists ((C $$unsorted)) (tptp.m7_monoid_0 C A B)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.l1_group_1 A) (tptp.m3_monoid_0 B A)) (forall ((C $$unsorted)) (= (tptp.m7_monoid_0 C A B) (tptp.m3_monoid_0 C B))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.m1_finseq_1 B A) (tptp.m1_finseq_1 C A)) (tptp.m2_finseq_2 (tptp.k1_monoid_0 A B C) A (tptp.k3_finseq_2 A)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.m1_finseq_1 B A) (tptp.m1_finseq_1 C A)) (= (tptp.k1_monoid_0 A B C) (tptp.k7_finseq_1 B C)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k2_monoid_0 A B C))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B A A) (tptp.m1_relset_1 B A A) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C A A) (tptp.m1_relset_1 C A A)) (and (tptp.v1_funct_1 _let_1) (tptp.v1_funct_2 _let_1 A A) (tptp.m2_relset_1 _let_1 A A))))) (forall ((A $$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.k2_monoid_0 A B C) (tptp.k5_relat_1 B C)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k3_monoid_0 A B C))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B A A) (tptp.v3_funct_2 B A A) (tptp.m1_relset_1 B A A) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C A A) (tptp.v3_funct_2 C A A) (tptp.m1_relset_1 C A A)) (and (tptp.v1_funct_1 _let_1) (tptp.v1_funct_2 _let_1 A A) (tptp.v3_funct_2 _let_1 A A) (tptp.m2_relset_1 _let_1 A A))))) (forall ((A $$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.k3_monoid_0 A B C) (tptp.k5_relat_1 B C)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_group_1 A) (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (tptp.m1_subset_1 (tptp.k4_monoid_0 A B C) _let_1)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_group_1 A) (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (= (tptp.k4_monoid_0 A B C) (tptp.k1_group_1 A B C))))) (and (not (tptp.v3_struct_0 tptp.k5_monoid_0)) (tptp.v1_group_1 tptp.k5_monoid_0) (tptp.v2_group_1 tptp.k5_monoid_0) (tptp.v4_group_1 tptp.k5_monoid_0) (tptp.v7_group_1 tptp.k5_monoid_0) (tptp.v13_monoid_0 tptp.k5_monoid_0) (tptp.v16_monoid_0 tptp.k5_monoid_0) (tptp.l1_group_1 tptp.k5_monoid_0)) (and (not (tptp.v3_struct_0 tptp.k6_monoid_0)) (tptp.v1_group_1 tptp.k6_monoid_0) (tptp.v2_group_1 tptp.k6_monoid_0) (tptp.v13_monoid_0 tptp.k6_monoid_0) (tptp.m2_monoid_0 tptp.k6_monoid_0 tptp.k5_monoid_0)) (= tptp.k6_monoid_0 tptp.k3_gr_cy_1) (and (not (tptp.v3_struct_0 tptp.k7_monoid_0)) (tptp.v1_group_1 tptp.k7_monoid_0) (tptp.v2_group_1 tptp.k7_monoid_0) (tptp.v17_monoid_0 tptp.k7_monoid_0) (tptp.m5_monoid_0 tptp.k7_monoid_0 tptp.k5_monoid_0 tptp.k6_monoid_0)) (and (not (tptp.v3_struct_0 tptp.k8_monoid_0)) (tptp.v1_vectsp_1 tptp.k8_monoid_0) (tptp.v1_vectsp_2 tptp.k8_monoid_0) (tptp.m1_monoid_0 tptp.k8_monoid_0 tptp.k7_monoid_0)) (and (not (tptp.v3_struct_0 tptp.k9_monoid_0)) (tptp.v1_group_1 tptp.k9_monoid_0) (tptp.v2_group_1 tptp.k9_monoid_0) (tptp.v4_group_1 tptp.k9_monoid_0) (tptp.v7_group_1 tptp.k9_monoid_0) (tptp.l1_group_1 tptp.k9_monoid_0)) (and (not (tptp.v3_struct_0 tptp.k10_monoid_0)) (tptp.v1_group_1 tptp.k10_monoid_0) (tptp.v2_group_1 tptp.k10_monoid_0) (tptp.v17_monoid_0 tptp.k10_monoid_0) (tptp.m2_monoid_0 tptp.k10_monoid_0 tptp.k9_monoid_0)) (and (not (tptp.v3_struct_0 tptp.k11_monoid_0)) (tptp.v1_vectsp_1 tptp.k11_monoid_0) (tptp.v1_vectsp_2 tptp.k11_monoid_0) (tptp.m1_monoid_0 tptp.k11_monoid_0 tptp.k10_monoid_0)) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k12_monoid_0 A))) (=> (not (tptp.v1_xboole_0 A)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v1_group_1 _let_1) (tptp.v2_group_1 _let_1) (tptp.v4_group_1 _let_1) (tptp.v2_monoid_0 _let_1) (tptp.v16_monoid_0 _let_1) (tptp.v17_monoid_0 _let_1) (tptp.l1_group_1 _let_1))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k13_monoid_0 A))) (=> (not (tptp.v1_xboole_0 A)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v1_vectsp_1 _let_1) (tptp.v1_vectsp_2 _let_1) (tptp.m1_monoid_0 _let_1 (tptp.k12_monoid_0 A)))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k3_finseq_2 A))) (let ((_let_2 (tptp.k2_zfmisc_1 _let_1 _let_1))) (let ((_let_3 (tptp.k14_monoid_0 A))) (=> (not (tptp.v1_xboole_0 A)) (and (tptp.v1_funct_1 _let_3) (tptp.v1_funct_2 _let_3 _let_2 _let_1) (tptp.m2_relset_1 _let_3 _let_2 _let_1))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k15_monoid_0 A))) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v1_group_1 _let_1) (tptp.v2_group_1 _let_1) (tptp.v4_group_1 _let_1) (tptp.v1_monoid_0 _let_1) (tptp.l1_group_1 _let_1)))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k16_monoid_0 A))) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v1_vectsp_1 _let_1) (tptp.v1_vectsp_2 _let_1) (tptp.m1_monoid_0 _let_1 (tptp.k15_monoid_0 A))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k4_partfun1 A A))) (let ((_let_2 (tptp.k2_zfmisc_1 _let_1 _let_1))) (let ((_let_3 (tptp.k17_monoid_0 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 $$unsorted)) (let ((_let_1 (tptp.k18_monoid_0 A))) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v1_group_1 _let_1) (tptp.v2_group_1 _let_1) (tptp.m2_monoid_0 _let_1 (tptp.k15_monoid_0 A))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k19_monoid_0 A))) (and (tptp.v1_vectsp_1 _let_1) (tptp.v1_vectsp_2 _let_1) (tptp.m1_monoid_0 _let_1 (tptp.k18_monoid_0 A))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k20_monoid_0 A))) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v1_group_1 _let_1) (tptp.v2_group_1 _let_1) (tptp.v13_monoid_0 _let_1) (tptp.m5_monoid_0 _let_1 (tptp.k15_monoid_0 A) (tptp.k18_monoid_0 A))))) (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (forall ((B $$unsorted)) (let ((_let_1 (= B tptp.k1_xboole_0))) (let ((_let_2 (tptp.u1_struct_0 A))) (let ((_let_3 (tptp.k3_subset_1 _let_2 B))) (let ((_let_4 (= _let_3 _let_2))) (let ((_let_5 (= B (tptp.k1_pre_topc A)))) (let ((_let_6 (= _let_3 (tptp.k2_pre_topc A)))) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 _let_2)) (and (=> _let_5 _let_6) (=> _let_6 _let_5) (=> _let_1 _let_4) (=> _let_4 _let_1)))))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (= B _let_1))) (let ((_let_3 (tptp.k3_subset_1 _let_1 B))) (let ((_let_4 (= _let_3 tptp.k1_xboole_0))) (let ((_let_5 (= B (tptp.k2_pre_topc A)))) (let ((_let_6 (= _let_3 (tptp.k1_pre_topc A)))) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 _let_1)) (and (=> _let_5 _let_6) (=> _let_6 _let_5) (=> _let_2 _let_4) (=> _let_4 _let_2)))))))))))) (forall ((A $$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.k5_subset_1 _let_1 (tptp.k1_tops_1 A 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 $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 _let_1)) (tptp.r1_tarski (tptp.k1_tops_1 A (tptp.k4_subset_1 _let_1 B C)) (tptp.k4_subset_1 _let_1 (tptp.k6_pre_topc A B) (tptp.k1_tops_1 A C)))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 _let_1)) (=> (tptp.v4_pre_topc C A) (tptp.r1_tarski (tptp.k1_tops_1 A (tptp.k4_subset_1 _let_1 C B)) (tptp.k4_subset_1 _let_1 C (tptp.k1_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 $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 _let_1)) (=> (tptp.v4_pre_topc C A) (= (tptp.k1_tops_1 A (tptp.k4_subset_1 _let_1 C B)) (tptp.k1_tops_1 A (tptp.k4_subset_1 _let_1 C (tptp.k1_tops_1 A B)))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k1_tops_1 A (tptp.k6_pre_topc A B)))) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (tptp.r1_xboole_0 B _let_1) (= _let_1 tptp.k1_xboole_0))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.k6_pre_topc A (tptp.k1_tops_1 A B)))) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 _let_1)) (=> (= (tptp.k4_subset_1 _let_1 B _let_2) _let_1) (= _let_2 _let_1)))))))) (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (tptp.v2_tops_1 B A) (= (tptp.k1_tops_1 A B) tptp.k1_xboole_0)))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (tptp.v2_tops_1 (tptp.k1_pre_topc A) 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.u1_struct_0 A))) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 _let_1)) (not (and (tptp.v2_tops_1 B A) (= B _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 $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (and (tptp.v2_tops_1 B A) (tptp.r1_tarski C B)) (tptp.v2_tops_1 C A)))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (tptp.v2_tops_1 B A) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 _let_1)) (=> (and (tptp.r1_tarski (tptp.k3_subset_1 _let_1 B) C) (tptp.v4_pre_topc C A)) (= C _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))) (= (tptp.v2_tops_1 B A) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 _let_1)) (not (and (not (= C tptp.k1_xboole_0)) (tptp.v3_pre_topc C A) (tptp.r1_xboole_0 (tptp.k3_subset_1 _let_1 B) C))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (tptp.v2_tops_1 B A) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 _let_1)) (=> (tptp.v4_pre_topc C A) (= (tptp.k1_tops_1 A C) (tptp.k1_tops_1 A (tptp.k4_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 $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 _let_1)) (=> (or (tptp.v2_tops_1 B A) (tptp.v2_tops_1 C A)) (tptp.v2_tops_1 (tptp.k5_subset_1 _let_1 B C) A))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 _let_1)) (= (tptp.v1_tops_1 B A) (= (tptp.k6_pre_topc A B) _let_1))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (tptp.v1_tops_1 (tptp.k2_pre_topc A) 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))) (not (and (tptp.v1_tops_1 B A) (= B 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)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 _let_1)) (= (tptp.v1_tops_1 B A) (tptp.v2_tops_1 (tptp.k3_subset_1 _let_1 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.v1_tops_1 B A) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 _let_1)) (=> (and (tptp.r1_tarski B C) (tptp.v4_pre_topc C A)) (= C _let_1)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (tptp.v1_tops_1 B A) (forall ((C $$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 $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 _let_1)) (=> (or (tptp.v1_tops_1 B A) (tptp.v1_tops_1 C A)) (tptp.v1_tops_1 (tptp.k4_subset_1 _let_1 B C) A))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (tptp.v3_tops_1 B A) (= (tptp.k1_tops_1 A (tptp.k6_pre_topc A B)) tptp.k1_xboole_0)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (tptp.v3_tops_1 (tptp.k1_pre_topc A) 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.u1_struct_0 A))) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 _let_1)) (not (and (tptp.v3_tops_1 B A) (= B _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))) (=> (tptp.v3_tops_1 B A) (tptp.v3_tops_1 (tptp.k6_pre_topc A 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))) (not (and (tptp.v3_tops_1 B A) (tptp.v1_tops_1 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))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (and (tptp.v3_tops_1 B A) (tptp.r1_tarski C B)) (tptp.v3_tops_1 C A)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (tptp.v3_tops_1 B A) (exists ((C $$unsorted)) (and (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (tptp.r1_tarski B C) (tptp.v4_pre_topc C A) (tptp.v2_tops_1 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))) (= (tptp.v3_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 $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 _let_1)) (=> (or (tptp.v3_tops_1 B A) (tptp.v3_tops_1 C A)) (tptp.v3_tops_1 (tptp.k5_subset_1 _let_1 B C) A))))))))) (forall ((A $$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)) (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.v2_tops_1 C A)) (tptp.v2_tops_1 (tptp.k4_subset_1 _let_1 B 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))) (= (tptp.v1_tops_3 B A) (= (tptp.k6_pre_topc A (tptp.k1_tops_1 A B)) (tptp.k2_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.v1_tops_3 B A) (= (tptp.k6_pre_topc A (tptp.k1_tops_1 A B)) _let_1))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (tptp.v1_tops_3 (tptp.k2_pre_topc A) A))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (tptp.v1_tops_3 B A) (tptp.v1_tops_3 (tptp.k1_tops_1 A B) A)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (tptp.v1_tops_3 B A) (tptp.v1_tops_1 B A)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (not (and (tptp.v1_tops_3 B A) (= B tptp.k1_xboole_0))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (tptp.v1_tops_3 B A) (tptp.v1_tops_1 (tptp.k1_tops_1 A B) A)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (and (tptp.v3_pre_topc B A) (tptp.v1_tops_1 B A)) (tptp.v1_tops_3 B A)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (not (and (tptp.v1_tops_3 B A) (tptp.v2_tops_1 B A))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_tops_3 B A) (tptp.r1_tarski B C)) (tptp.v1_tops_3 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)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 _let_1)) (= (tptp.v1_tops_3 B A) (tptp.v3_tops_1 (tptp.k3_subset_1 _let_1 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)) (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_3 (tptp.k3_subset_1 _let_1 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.v1_tops_3 B A) (exists ((C $$unsorted)) (and (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (tptp.r1_tarski C B) (tptp.v3_pre_topc C A) (tptp.v1_tops_1 C A)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (tptp.v1_tops_3 B A) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 _let_1)) (not (and (not (= C _let_1)) (tptp.v4_pre_topc C A) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 _let_1)) (not (and (tptp.r1_tarski C D) (not (= D _let_1)) (tptp.v4_pre_topc D A) (= (tptp.k4_subset_1 _let_1 B D) _let_1)))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 _let_1)) (=> (or (tptp.v1_tops_3 B A) (tptp.v1_tops_3 C A)) (tptp.v1_tops_3 (tptp.k4_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 $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 _let_1)) (=> (and (tptp.v1_tops_3 B A) (tptp.v1_tops_3 C A)) (tptp.v1_tops_3 (tptp.k5_subset_1 _let_1 B C) A))))))))) (forall ((A $$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)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 _let_1)) (=> (and (tptp.v1_tops_3 B A) (tptp.v1_tops_1 C A)) (tptp.v1_tops_1 (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 $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 _let_1)) (=> (and (tptp.v1_tops_1 B A) (tptp.v3_tops_1 C A)) (tptp.v1_tops_1 (tptp.k6_subset_1 _let_1 B C) A))))))))) (forall ((A $$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)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 _let_1)) (=> (and (tptp.v1_tops_3 B A) (tptp.v2_tops_1 C A)) (tptp.v1_tops_1 (tptp.k6_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 $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 _let_1)) (=> (and (tptp.v1_tops_3 B A) (tptp.v3_tops_1 C A)) (tptp.v1_tops_3 (tptp.k6_subset_1 _let_1 B C) A))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (not (and (tptp.v1_tops_3 B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 _let_1)) (not (and (tptp.v3_pre_topc C A) (tptp.v1_tops_1 C A) (tptp.v3_tops_1 D A) (= (tptp.k4_subset_1 _let_1 C D) B) (tptp.r1_xboole_0 C D)))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (not (and (tptp.v1_tops_3 B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 _let_1)) (not (and (tptp.v3_pre_topc C A) (tptp.v1_tops_1 C A) (tptp.v4_pre_topc D A) (tptp.v2_tops_1 D A) (= (tptp.k4_subset_1 _let_1 C (tptp.k5_subset_1 _let_1 B D)) B) (tptp.r1_xboole_0 C D) (= (tptp.k4_subset_1 _let_1 C D) _let_1)))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (not (and (tptp.v3_tops_1 B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 _let_1)) (not (and (tptp.v4_pre_topc C A) (tptp.v2_tops_1 C A) (tptp.v1_tops_3 D A) (= (tptp.k5_subset_1 _let_1 C D) B) (= (tptp.k4_subset_1 _let_1 C D) _let_1)))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (not (and (tptp.v3_tops_1 B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 _let_1)) (not (and (tptp.v4_pre_topc C A) (tptp.v2_tops_1 C A) (tptp.v3_pre_topc D A) (tptp.v1_tops_1 D A) (= (tptp.k5_subset_1 _let_1 C (tptp.k4_subset_1 _let_1 B D)) B) (tptp.r1_xboole_0 C D) (= (tptp.k4_subset_1 _let_1 C D) _let_1)))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_pre_topc B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B))) (=> (tptp.r1_tarski D C) (tptp.r1_tarski (tptp.k6_pre_topc B D) (tptp.k6_pre_topc A C))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_pre_topc B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((E $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (=> (tptp.m1_subset_1 E (tptp.k1_zfmisc_1 _let_1)) (=> (and (tptp.v4_pre_topc C A) (tptp.r1_tarski C _let_1) (tptp.r1_tarski D C) (= D E)) (= (tptp.k6_pre_topc A D) (tptp.k6_pre_topc 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.v1_borsuk_1 B A) (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 A C) (tptp.k6_pre_topc 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)) (=> (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))) (=> (tptp.r1_tarski C D) (tptp.r1_tarski (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.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 A))) (forall ((E $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (=> (tptp.m1_subset_1 E (tptp.k1_zfmisc_1 _let_1)) (=> (and (tptp.v3_pre_topc C A) (tptp.r1_tarski C _let_1) (tptp.r1_tarski D C) (= D E)) (= (tptp.k1_tops_1 A D) (tptp.k1_tops_1 B E)))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v1_tsep_1 B A) (tptp.m1_pre_topc B A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B))) (=> (= C D) (= (tptp.k1_tops_1 A C) (tptp.k1_tops_1 B D))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_pre_topc B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B))) (=> (and (tptp.r1_tarski C D) (tptp.v1_tops_1 C A)) (tptp.v1_tops_1 D B)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_pre_topc B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((E $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (=> (tptp.m1_subset_1 E (tptp.k1_zfmisc_1 _let_1)) (=> (and (tptp.r1_tarski C _let_1) (tptp.r1_tarski D C) (= D E)) (= (and (tptp.v1_tops_1 C A) (tptp.v1_tops_1 E B)) (tptp.v1_tops_1 D 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.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))) (=> (and (tptp.r1_tarski C D) (tptp.v1_tops_3 C A)) (tptp.v1_tops_3 D 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 $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((E $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (=> (tptp.m1_subset_1 E (tptp.k1_zfmisc_1 _let_1)) (=> (and (tptp.v3_pre_topc C A) (tptp.r1_tarski C _let_1) (tptp.r1_tarski D C) (= D E)) (= (and (tptp.v1_tops_1 C A) (tptp.v1_tops_3 E B)) (tptp.v1_tops_3 D A)))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v1_tsep_1 B A) (tptp.m1_pre_topc B A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((E $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (=> (tptp.m1_subset_1 E (tptp.k1_zfmisc_1 _let_1)) (=> (and (= D _let_1) (= C E)) (= (and (tptp.v1_tops_1 D A) (tptp.v1_tops_3 E B)) (tptp.v1_tops_3 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)) (=> (and (not (tptp.v3_struct_0 B)) (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 A))) (forall ((E $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (=> (tptp.m1_subset_1 E (tptp.k1_zfmisc_1 _let_1)) (=> (and (tptp.r1_tarski C _let_1) (tptp.r1_tarski D C) (= D E)) (= (and (tptp.v1_tops_3 C A) (tptp.v1_tops_3 E B)) (tptp.v1_tops_3 D A)))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.m1_pre_topc B A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B))) (=> (and (tptp.r1_tarski C D) (tptp.v2_tops_1 D B)) (tptp.v2_tops_1 C A)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.m1_pre_topc B A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((E $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (=> (tptp.m1_subset_1 E (tptp.k1_zfmisc_1 _let_1)) (=> (and (tptp.v3_pre_topc C A) (tptp.r1_tarski C _let_1) (tptp.r1_tarski D C) (= D E) (tptp.v2_tops_1 D A)) (tptp.v2_tops_1 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.v1_tsep_1 B A) (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.v2_tops_1 C A) (tptp.v2_tops_1 D 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 $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B))) (=> (and (tptp.r1_tarski C D) (tptp.v3_tops_1 D B)) (tptp.v3_tops_1 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)) (=> (and (not (tptp.v3_struct_0 B)) (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 A))) (forall ((E $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (=> (tptp.m1_subset_1 E (tptp.k1_zfmisc_1 _let_1)) (=> (and (tptp.v3_pre_topc C A) (tptp.r1_tarski C _let_1) (tptp.r1_tarski D C) (= D E) (tptp.v3_tops_1 D A)) (tptp.v3_tops_1 E B))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v1_tsep_1 B A) (tptp.m1_pre_topc B A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B))) (=> (= C D) (= (tptp.v3_tops_1 C A) (tptp.v3_tops_1 D B))))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_struct_0 A) (forall ((B $$unsorted)) (=> (tptp.l1_struct_0 B) (=> (= (tptp.u1_struct_0 A) (tptp.u1_struct_0 B)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 _let_1)) (= (= C D) (= (tptp.k3_subset_1 (tptp.u1_struct_0 A) C) (tptp.k3_subset_1 _let_1 D))))))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (tptp.l1_pre_topc B) (=> (and (= _let_2 _let_1) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B))) (=> (= C D) (= (tptp.v3_pre_topc C A) (tptp.v3_pre_topc D B)))))))) (= (tptp.g1_pre_topc _let_2 (tptp.u1_pre_topc A)) (tptp.g1_pre_topc _let_1 (tptp.u1_pre_topc B)))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (tptp.l1_pre_topc B) (=> (and (= _let_2 _let_1) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B))) (=> (= C D) (= (tptp.v4_pre_topc C A) (tptp.v4_pre_topc D B)))))))) (= (tptp.g1_pre_topc _let_2 (tptp.u1_pre_topc A)) (tptp.g1_pre_topc _let_1 (tptp.u1_pre_topc B)))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (tptp.v2_pre_topc B) (tptp.l1_pre_topc B)) (=> (and (= _let_2 _let_1) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B))) (=> (= C D) (= (tptp.k1_tops_1 A C) (tptp.k1_tops_1 B D)))))))) (= (tptp.g1_pre_topc _let_2 (tptp.u1_pre_topc A)) (tptp.g1_pre_topc _let_1 (tptp.u1_pre_topc B)))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (tptp.v2_pre_topc B) (tptp.l1_pre_topc B)) (=> (and (= _let_2 _let_1) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B))) (=> (= C D) (= (tptp.k6_pre_topc A C) (tptp.k6_pre_topc B D)))))))) (= (tptp.g1_pre_topc _let_2 (tptp.u1_pre_topc A)) (tptp.g1_pre_topc _let_1 (tptp.u1_pre_topc B)))))))))) (forall ((A $$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 $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 _let_1)) (=> (and (= C D) (= (tptp.g1_pre_topc (tptp.u1_struct_0 A) (tptp.u1_pre_topc A)) (tptp.g1_pre_topc _let_1 (tptp.u1_pre_topc B))) (tptp.v3_pre_topc C A)) (tptp.v3_pre_topc D B))))))))))) (forall ((A $$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 $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 _let_1)) (=> (and (= C D) (= (tptp.g1_pre_topc (tptp.u1_struct_0 A) (tptp.u1_pre_topc A)) (tptp.g1_pre_topc _let_1 (tptp.u1_pre_topc B)))) (= (tptp.k1_tops_1 A C) (tptp.k1_tops_1 B D)))))))))))) (forall ((A $$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)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 _let_1)) (=> (and (tptp.r1_tarski C D) (= (tptp.g1_pre_topc (tptp.u1_struct_0 A) (tptp.u1_pre_topc A)) (tptp.g1_pre_topc _let_1 (tptp.u1_pre_topc B)))) (tptp.r1_tarski (tptp.k1_tops_1 A C) (tptp.k1_tops_1 B D)))))))))))) (forall ((A $$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)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 _let_1)) (=> (and (= C D) (= (tptp.g1_pre_topc (tptp.u1_struct_0 A) (tptp.u1_pre_topc A)) (tptp.g1_pre_topc _let_1 (tptp.u1_pre_topc B))) (tptp.v4_pre_topc C A)) (tptp.v4_pre_topc D B))))))))))) (forall ((A $$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 $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 _let_1)) (=> (and (= C D) (= (tptp.g1_pre_topc (tptp.u1_struct_0 A) (tptp.u1_pre_topc A)) (tptp.g1_pre_topc _let_1 (tptp.u1_pre_topc B)))) (= (tptp.k6_pre_topc A C) (tptp.k6_pre_topc B D)))))))))))) (forall ((A $$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)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 _let_1)) (=> (and (tptp.r1_tarski C D) (= (tptp.g1_pre_topc (tptp.u1_struct_0 A) (tptp.u1_pre_topc A)) (tptp.g1_pre_topc _let_1 (tptp.u1_pre_topc B)))) (tptp.r1_tarski (tptp.k6_pre_topc A C) (tptp.k6_pre_topc B D)))))))))))) (forall ((A $$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)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 _let_1)) (=> (and (tptp.r1_tarski D C) (= (tptp.g1_pre_topc (tptp.u1_struct_0 A) (tptp.u1_pre_topc A)) (tptp.g1_pre_topc _let_1 (tptp.u1_pre_topc B))) (tptp.v2_tops_1 C A)) (tptp.v2_tops_1 D B))))))))))) (forall ((A $$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 $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 _let_1)) (=> (and (tptp.r1_tarski C D) (= (tptp.g1_pre_topc (tptp.u1_struct_0 A) (tptp.u1_pre_topc A)) (tptp.g1_pre_topc _let_1 (tptp.u1_pre_topc B))) (tptp.v1_tops_1 C A)) (tptp.v1_tops_1 D B))))))))))) (forall ((A $$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 $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 _let_1)) (=> (and (tptp.r1_tarski D C) (= (tptp.g1_pre_topc (tptp.u1_struct_0 A) (tptp.u1_pre_topc A)) (tptp.g1_pre_topc _let_1 (tptp.u1_pre_topc B))) (tptp.v3_tops_1 C A)) (tptp.v3_tops_1 D B))))))))))) (forall ((A $$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)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 _let_1)) (=> (and (tptp.r1_tarski C D) (= (tptp.g1_pre_topc (tptp.u1_struct_0 A) (tptp.u1_pre_topc A)) (tptp.g1_pre_topc _let_1 (tptp.u1_pre_topc B))) (tptp.v1_tops_3 C A)) (tptp.v1_tops_3 D B))))))))))) (forall ((A $$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)) (=> (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))))) (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)) (not (tptp.v1_xboole_0 (tptp.k7_lopclset A))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v17_lattices A) (not (tptp.v3_realset2 A)) (tptp.l3_lattices A)) (not (tptp.v1_xboole_0 (tptp.k10_lopclset A))))) (forall ((A $$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 (not (tptp.v3_struct_0 _let_1)) (tptp.v1_pre_topc _let_1) (tptp.v2_pre_topc _let_1))))) (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 (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))))) true (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 $$unsorted)) (and (tptp.m1_filter_0 C B) (= C A) (tptp.v1_filter_0 C B)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v10_lattices B) (tptp.v17_lattices B) (not (tptp.v3_realset2 B)) (tptp.l3_lattices B)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 B)) (= (tptp.r2_hidden A (tptp.k1_funct_1 (tptp.k8_lopclset B) C)) (exists ((D $$unsorted)) (and (tptp.m1_filter_0 D B) (= D A) (tptp.v1_filter_0 D B) (tptp.r2_hidden C D)))))))) (forall ((A $$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 $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_filter_0 C A) (= (tptp.r2_hidden C (tptp.k1_funct_1 (tptp.k8_lopclset A) B)) (and (tptp.v1_filter_0 C A) (tptp.r2_hidden B C))))))))) (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)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_filter_0 D A) (=> (tptp.v1_filter_0 D A) (= (tptp.r2_hidden (tptp.k3_lattices A B C) D) (or (tptp.r2_hidden B D) (tptp.r2_hidden C D)))))))))))) (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)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k8_lopclset A))) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (tptp.k1_funct_1 _let_1 (tptp.k4_lattices A B C)) (tptp.k3_xboole_0 (tptp.k1_funct_1 _let_1 B) (tptp.k1_funct_1 _let_1 C)))))))))) (forall ((A $$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 $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k8_lopclset A))) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (tptp.k1_funct_1 _let_1 (tptp.k3_lattices A B C)) (tptp.k2_xboole_0 (tptp.k1_funct_1 _let_1 B) (tptp.k1_funct_1 _let_1 C)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v17_lattices A) (not (tptp.v3_realset2 A)) (tptp.l3_lattices A)) (= (tptp.k10_lopclset A) (tptp.k2_relat_1 (tptp.k9_lopclset A))))) (forall ((A $$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.r1_tarski (tptp.k10_lopclset A) (tptp.k1_zfmisc_1 (tptp.k7_lopclset A))))) (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.k10_lopclset B)) (exists ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (and (tptp.m1_subset_1 C _let_1) (= (tptp.k8_funct_2 _let_1 (tptp.k1_zfmisc_1 (tptp.k7_lopclset B)) (tptp.k9_lopclset B) C) A))))))) (forall ((A $$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)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_filter_0 C A) (not (and (tptp.v1_filter_0 C A) (not (tptp.r2_hidden C (tptp.k8_funct_2 (tptp.u1_struct_0 A) (tptp.k1_zfmisc_1 (tptp.k7_lopclset A)) (tptp.k9_lopclset A) B))) (tptp.r2_hidden B C))))))))) (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)) (let ((_let_1 (tptp.k9_lopclset A))) (let ((_let_2 (tptp.k7_lopclset A))) (let ((_let_3 (tptp.k1_zfmisc_1 _let_2))) (let ((_let_4 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 B _let_4) (= (tptp.k4_xboole_0 _let_2 (tptp.k8_funct_2 _let_4 _let_3 _let_1 B)) (tptp.k8_funct_2 _let_4 _let_3 _let_1 (tptp.k7_lattices A B))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v17_lattices A) (not (tptp.v3_realset2 A)) (tptp.l3_lattices A)) (= (tptp.k12_lopclset A) (tptp.k6_lopclset (tptp.k11_lopclset A))))) (forall ((A $$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.v2_funct_1 (tptp.k9_lopclset A)))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v17_lattices A) (not (tptp.v3_realset2 A)) (tptp.l3_lattices A)) (= (tptp.k3_tarski (tptp.k10_lopclset A)) (tptp.k7_lopclset A)))) true (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (not (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k5_finsub_1 A)) (tptp.v1_xboole_0 B)))))) true (forall ((A $$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 $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (not (and (tptp.r2_hidden (tptp.k5_lattices A) (tptp.k3_filter_0 A B)) (forall ((C $$unsorted)) (=> (and (not (tptp.v1_xboole_0 C)) (tptp.m1_subset_1 C (tptp.k5_finsub_1 (tptp.u1_struct_0 A)))) (not (and (tptp.r1_tarski C B) (= (tptp.k2_lattice4 A C) (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.m1_filter_0 B A) (not (and (tptp.v1_filter_0 B A) (tptp.r2_hidden (tptp.k5_lattices A) B))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v17_lattices A) (not (tptp.v3_realset2 A)) (tptp.l3_lattices A)) (= (tptp.k8_funct_2 (tptp.u1_struct_0 A) (tptp.k1_zfmisc_1 (tptp.k7_lopclset A)) (tptp.k9_lopclset A) (tptp.k5_lattices A)) tptp.k1_xboole_0))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k7_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)) (= (tptp.k8_funct_2 (tptp.u1_struct_0 A) (tptp.k1_zfmisc_1 _let_1) (tptp.k9_lopclset A) (tptp.k6_lattices A)) _let_1)))) (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)) (not (and (= (tptp.k7_lopclset B) (tptp.k3_tarski A)) (tptp.m1_subset_1 A (tptp.k1_zfmisc_1 (tptp.k10_lopclset B))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k5_finsub_1 A)) (not (= (tptp.k7_lopclset B) (tptp.k3_tarski C))))))))) true (forall ((A $$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.k10_lopclset A) (tptp.k1_lopclset (tptp.k11_lopclset A))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v17_lattices A) (not (tptp.v3_realset2 A)) (tptp.l3_lattices A)) (= (tptp.k2_relat_1 (tptp.k13_lopclset A)) (tptp.u1_struct_0 (tptp.k12_lopclset A))))) (forall ((A $$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.v3_lattice4 (tptp.k13_lopclset A) A (tptp.k12_lopclset A)))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v17_lattices A) (not (tptp.v3_realset2 A)) (tptp.l3_lattices A)) (tptp.r1_filter_1 A (tptp.k12_lopclset A)))) (forall ((A $$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)) (exists ((B $$unsorted)) (and (not (tptp.v3_struct_0 B)) (tptp.v2_pre_topc B) (tptp.l1_pre_topc B) (tptp.r1_filter_1 A (tptp.k6_lopclset B)))))) (forall ((A $$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 $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v17_lattices A) (not (tptp.v3_realset2 A)) (tptp.l3_lattices A)) (= (tptp.k7_lopclset A) (tptp.a_1_1_lopclset A)))) (forall ((A $$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)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (tptp.r1_tarski (tptp.a_2_0_lopclset A B) (tptp.k7_lopclset A)))))) (forall ((A $$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 $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (= (= B (tptp.k8_lopclset A)) (and (= (tptp.k1_relat_1 B) (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (tptp.k1_funct_1 B C) (tptp.a_2_0_lopclset A C)))))))))) (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)) (=> (and (tptp.v1_pre_topc B) (tptp.v2_pre_topc B) (tptp.l1_pre_topc B)) (= (= B (tptp.k11_lopclset A)) (and (= (tptp.u1_struct_0 B) (tptp.k7_lopclset A)) (= (tptp.u1_pre_topc B) (tptp.a_1_2_lopclset A)))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.l1_pre_topc B)) (= (tptp.r2_hidden A (tptp.a_1_0_lopclset B)) (exists ((C $$unsorted)) (and (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B))) (= A C) (tptp.v3_pre_topc C B) (tptp.v4_pre_topc C B)))))) (forall ((A $$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)))))) (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)))))) (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_2_lopclset B)) (exists ((C $$unsorted)) (let ((_let_1 (tptp.k7_lopclset B))) (and (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 _let_1))) (= A (tptp.k5_setfam_1 _let_1 C)) (tptp.r1_tarski C (tptp.k10_lopclset B)))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k1_tarski tptp.k1_xboole_0))) (let ((_let_2 (tptp.k7_pralg_1 A))) (=> (tptp.v4_ordinal2 A) (and (not (tptp.v1_xboole_0 _let_2)) (tptp.v1_relat_1 _let_2) (tptp.v1_funct_1 _let_2) (tptp.v1_unialg_1 _let_2 _let_1) (tptp.v2_unialg_1 _let_2 _let_1)))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (exists ((B $$unsorted)) (and (tptp.m1_finseq_1 B A) (not (tptp.v1_xboole_0 B)) (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (tptp.v1_finseq_1 B))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (exists ((B $$unsorted)) (and (tptp.m1_subset_1 B (tptp.k3_finseq_2 A)) (not (tptp.v1_xboole_0 B)) (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (tptp.v1_finseq_1 B))))) (exists ((A $$unsorted)) (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_pralg_1 A))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.v1_funct_1 A))) (let ((_let_2 (tptp.v1_relat_1 A))) (=> (and _let_2 _let_1 (tptp.v1_pralg_1 A)) (and _let_2 _let_1 (tptp.v2_pralg_1 A)))))) (forall ((A $$unsorted)) (exists ((B $$unsorted)) (and (tptp.m1_pboole B A) (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (tptp.v2_pralg_1 B)))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (exists ((B $$unsorted)) (and (tptp.m1_pboole B A) (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (tptp.v1_pralg_1 B) (tptp.v2_pralg_1 B) (tptp.v3_pralg_1 B))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k12_pralg_1 A B))) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v1_pralg_1 B) (tptp.m1_pboole B A)) (and (tptp.v1_relat_1 _let_1) (tptp.v2_relat_1 _let_1) (not (tptp.v3_relat_1 _let_1)) (tptp.v1_funct_1 _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k4_card_3 B))) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v2_relat_1 B) (tptp.m1_pboole B A)) (and (not (tptp.v1_xboole_0 _let_1)) (tptp.v1_fraenkel _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v2_relat_1 B) (tptp.m1_pboole B A)) (exists ((C $$unsorted)) (and (tptp.m1_pralg_1 C A B) (tptp.v1_relat_1 C) (tptp.v1_funct_1 C) (tptp.v1_funcop_1 C) (tptp.v4_pralg_1 C))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (=> (tptp.m2_subset_1 C tptp.k1_numbers tptp.k5_numbers) (forall ((D $$unsorted)) (=> (tptp.m2_subset_1 D tptp.k1_numbers tptp.k5_numbers) (=> (= (tptp.k4_finseq_2 C A) (tptp.k4_finseq_2 D B)) (= C D)))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (=> (tptp.m2_finseq_1 C (tptp.k2_zfmisc_1 A B)) (forall ((D $$unsorted)) (=> (tptp.m2_finseq_1 D A) (= (= D (tptp.k1_pralg_1 A B C)) (and (= (tptp.k3_finseq_1 D) (tptp.k3_finseq_1 C)) (forall ((E $$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_mcart_1 (tptp.k1_funct_1 C E)))))))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (=> (tptp.m2_finseq_1 C (tptp.k2_zfmisc_1 A B)) (forall ((D $$unsorted)) (=> (tptp.m2_finseq_1 D B) (= (= D (tptp.k2_pralg_1 A B C)) (and (= (tptp.k3_finseq_1 D) (tptp.k3_finseq_1 C)) (forall ((E $$unsorted)) (=> (tptp.m2_subset_1 E tptp.k1_numbers tptp.k5_numbers) (=> (tptp.r2_hidden E (tptp.k4_finseq_1 D)) (= (tptp.k1_funct_1 D E) (tptp.k2_mcart_1 (tptp.k1_funct_1 C E)))))))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (=> (and (not (tptp.v1_xboole_0 C)) (tptp.v1_funct_1 C) (tptp.v1_unialg_1 C A) (tptp.v2_unialg_1 C A) (tptp.m2_relset_1 C (tptp.k3_finseq_2 A) A)) (forall ((D $$unsorted)) (=> (and (not (tptp.v1_xboole_0 D)) (tptp.v1_funct_1 D) (tptp.v1_unialg_1 D B) (tptp.v2_unialg_1 D B) (tptp.m2_relset_1 D (tptp.k3_finseq_2 B) B)) (=> (= (tptp.k2_unialg_1 A C) (tptp.k2_unialg_1 B D)) (forall ((E $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A B))) (=> (and (not (tptp.v1_xboole_0 E)) (tptp.v1_funct_1 E) (tptp.v1_unialg_1 E _let_1) (tptp.v2_unialg_1 E _let_1) (tptp.m2_relset_1 E (tptp.k3_finseq_2 _let_1) _let_1)) (= (= E (tptp.k3_pralg_1 A B C D)) (and (= (tptp.k1_relat_1 E) (tptp.k4_finseq_2 (tptp.k2_unialg_1 A C) _let_1)) (forall ((F $$unsorted)) (=> (tptp.m2_finseq_1 F (tptp.k2_zfmisc_1 A B)) (=> (tptp.r2_hidden F (tptp.k1_relat_1 E)) (= (tptp.k1_funct_1 E F) (tptp.k4_tarski (tptp.k1_funct_1 C (tptp.k1_pralg_1 A B F)) (tptp.k1_funct_1 D (tptp.k2_pralg_1 A B F))))))))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v6_unialg_1 A) (tptp.v7_unialg_1 A) (tptp.v8_unialg_1 A) (tptp.l1_unialg_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v6_unialg_1 B) (tptp.v7_unialg_1 B) (tptp.v8_unialg_1 B) (tptp.l1_unialg_1 B)) (=> (tptp.r1_unialg_2 A B) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 (tptp.u1_struct_0 A) (tptp.u1_struct_0 B)))) (=> (tptp.m2_finseq_1 C (tptp.k4_partfun1 (tptp.k13_finseq_1 _let_1) _let_1)) (= (= C (tptp.k4_pralg_1 A B)) (and (= (tptp.k3_finseq_1 C) (tptp.k3_finseq_1 (tptp.u1_unialg_1 A))) (forall ((D $$unsorted)) (=> (tptp.m2_subset_1 D tptp.k1_numbers tptp.k5_numbers) (=> (tptp.r2_hidden D (tptp.k4_finseq_1 C)) (forall ((E $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v1_xboole_0 E)) (tptp.v1_funct_1 E) (tptp.v1_unialg_1 E _let_1) (tptp.v2_unialg_1 E _let_1) (tptp.m2_relset_1 E (tptp.k3_finseq_2 _let_1) _let_1)) (forall ((F $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (=> (and (not (tptp.v1_xboole_0 F)) (tptp.v1_funct_1 F) (tptp.v1_unialg_1 F _let_1) (tptp.v2_unialg_1 F _let_1) (tptp.m2_relset_1 F (tptp.k3_finseq_2 _let_1) _let_1)) (=> (and (= E (tptp.k1_funct_1 (tptp.u1_unialg_1 A) D)) (= F (tptp.k1_funct_1 (tptp.u1_unialg_1 B) D))) (= (tptp.k1_funct_1 C D) (tptp.k3_pralg_1 (tptp.u1_struct_0 A) _let_1 E F)))))))))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v6_unialg_1 A) (tptp.v7_unialg_1 A) (tptp.v8_unialg_1 A) (tptp.l1_unialg_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.g1_unialg_1 (tptp.k2_zfmisc_1 (tptp.u1_struct_0 A) (tptp.u1_struct_0 B)) (tptp.k4_pralg_1 A B)))) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v6_unialg_1 B) (tptp.v7_unialg_1 B) (tptp.v8_unialg_1 B) (tptp.l1_unialg_1 B)) (=> (tptp.r1_unialg_2 A B) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v3_unialg_1 _let_1) (tptp.v6_unialg_1 _let_1) (tptp.v7_unialg_1 _let_1) (tptp.v8_unialg_1 _let_1) (tptp.l1_unialg_1 _let_1)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v6_unialg_1 A) (tptp.v7_unialg_1 A) (tptp.v8_unialg_1 A) (tptp.l1_unialg_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v6_unialg_1 B) (tptp.v7_unialg_1 B) (tptp.v8_unialg_1 B) (tptp.l1_unialg_1 B)) (=> (tptp.r1_unialg_2 A B) (= (tptp.k5_pralg_1 A B) (tptp.g1_unialg_1 (tptp.k2_zfmisc_1 (tptp.u1_struct_0 A) (tptp.u1_struct_0 B)) (tptp.k4_pralg_1 A B)))))))) (forall ((A $$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 B A))) (let ((_let_2 (tptp.k2_zfmisc_1 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)) (= (= C (tptp.k6_pralg_1 A B)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A B))) (=> (tptp.m1_subset_1 D _let_1) (= (tptp.k8_funct_2 _let_1 (tptp.k2_zfmisc_1 B A) C D) (tptp.k1_domain_1 B A (tptp.k3_domain_1 A B D) (tptp.k2_domain_1 A B D))))))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (= (tptp.k9_funcop_1 (tptp.k2_zfmisc_1 A B) B A (tptp.k6_pralg_1 A B)) (tptp.k2_zfmisc_1 B A)))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (tptp.v2_funct_1 (tptp.k6_pralg_1 A B)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v6_unialg_1 A) (tptp.v7_unialg_1 A) (tptp.v8_unialg_1 A) (tptp.l1_unialg_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 (tptp.k5_pralg_1 B A)))) (let ((_let_2 (tptp.u1_struct_0 (tptp.k5_pralg_1 A B)))) (let ((_let_3 (tptp.k6_pralg_1 (tptp.u1_struct_0 A) (tptp.u1_struct_0 B)))) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v6_unialg_1 B) (tptp.v7_unialg_1 B) (tptp.v8_unialg_1 B) (tptp.l1_unialg_1 B)) (=> (tptp.r1_unialg_2 A B) (and (tptp.v1_funct_1 _let_3) (tptp.v1_funct_2 _let_3 _let_2 _let_1) (tptp.m2_relset_1 _let_3 _let_2 _let_1)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v6_unialg_1 A) (tptp.v7_unialg_1 A) (tptp.v8_unialg_1 A) (tptp.l1_unialg_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v6_unialg_1 B) (tptp.v7_unialg_1 B) (tptp.v8_unialg_1 B) (tptp.l1_unialg_1 B)) (=> (tptp.r1_unialg_2 A B) (forall ((C $$unsorted)) (=> (tptp.m2_unialg_2 C (tptp.u1_struct_0 A) (tptp.k1_unialg_2 A)) (forall ((D $$unsorted)) (=> (tptp.m2_unialg_2 D (tptp.u1_struct_0 B) (tptp.k1_unialg_2 B)) (forall ((E $$unsorted)) (let ((_let_1 (tptp.k5_pralg_1 A B))) (=> (tptp.m2_unialg_2 E (tptp.u1_struct_0 _let_1) (tptp.k1_unialg_2 _let_1)) (forall ((F $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (let ((_let_3 (tptp.k5_pralg_1 A B))) (let ((_let_4 (tptp.k2_unialg_1 (tptp.u1_struct_0 _let_3) E))) (let ((_let_5 (tptp.u1_unialg_1 A))) (=> (tptp.m2_subset_1 F tptp.k1_numbers tptp.k5_numbers) (=> (and (= C (tptp.k1_funct_1 _let_5 F)) (= D (tptp.k1_funct_1 (tptp.u1_unialg_1 B) F)) (= E (tptp.k1_funct_1 (tptp.u1_unialg_1 _let_3) F)) (tptp.r2_hidden F (tptp.k4_finseq_1 _let_5))) (and (= _let_4 (tptp.k2_unialg_1 _let_2 C)) (= _let_4 (tptp.k2_unialg_1 _let_1 D)) (= E (tptp.k3_pralg_1 _let_2 _let_1 C D))))))))))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v6_unialg_1 A) (tptp.v7_unialg_1 A) (tptp.v8_unialg_1 A) (tptp.l1_unialg_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v6_unialg_1 B) (tptp.v7_unialg_1 B) (tptp.v8_unialg_1 B) (tptp.l1_unialg_1 B)) (=> (tptp.r1_unialg_2 A B) (tptp.r1_unialg_2 (tptp.k5_pralg_1 A B) A)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v6_unialg_1 A) (tptp.v7_unialg_1 A) (tptp.v8_unialg_1 A) (tptp.l1_unialg_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v6_unialg_1 B) (tptp.v7_unialg_1 B) (tptp.v8_unialg_1 B) (tptp.l1_unialg_1 B)) (forall ((C $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.v6_unialg_1 C) (tptp.v7_unialg_1 C) (tptp.v8_unialg_1 C) (tptp.l1_unialg_1 C)) (forall ((D $$unsorted)) (=> (and (not (tptp.v3_struct_0 D)) (tptp.v6_unialg_1 D) (tptp.v7_unialg_1 D) (tptp.v8_unialg_1 D) (tptp.l1_unialg_1 D)) (=> (and (tptp.m3_unialg_2 A B) (tptp.m3_unialg_2 C D) (tptp.r1_unialg_2 B D)) (tptp.m3_unialg_2 (tptp.k5_pralg_1 A C) (tptp.k5_pralg_1 B D))))))))))) (forall ((A $$unsorted)) (=> (tptp.v4_ordinal2 A) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k1_tarski tptp.k1_xboole_0))) (=> (and (tptp.v1_funct_1 B) (tptp.m2_relset_1 B (tptp.k3_finseq_2 _let_1) _let_1)) (= (= B (tptp.k7_pralg_1 A)) (and (= (tptp.k1_relat_1 B) (tptp.k1_tarski (tptp.k2_finseq_2 A tptp.k1_xboole_0))) (= (tptp.k2_relat_1 B) _let_1)))))))) (forall ((A $$unsorted)) (=> (tptp.v4_ordinal2 A) (= (tptp.k2_unialg_1 (tptp.k1_tarski tptp.k1_xboole_0) (tptp.k7_pralg_1 A)) A))) (forall ((A $$unsorted)) (=> (tptp.m2_finseq_1 A tptp.k5_numbers) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k1_tarski tptp.k1_xboole_0))) (=> (tptp.m2_finseq_1 B (tptp.k4_partfun1 (tptp.k13_finseq_1 _let_1) _let_1)) (= (= B (tptp.k8_pralg_1 A)) (and (= (tptp.k3_finseq_1 B) (tptp.k3_finseq_1 A)) (forall ((C $$unsorted)) (=> (tptp.m2_subset_1 C tptp.k1_numbers tptp.k5_numbers) (=> (tptp.r2_hidden C (tptp.k4_finseq_1 B)) (forall ((D $$unsorted)) (=> (tptp.m2_subset_1 D tptp.k1_numbers tptp.k5_numbers) (=> (= D (tptp.k1_funct_1 A C)) (= (tptp.k1_funct_1 B C) (tptp.k7_pralg_1 D))))))))))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k8_pralg_1 A))) (let ((_let_2 (tptp.k1_tarski tptp.k1_xboole_0))) (=> (tptp.m2_finseq_1 A tptp.k5_numbers) (and (tptp.v4_unialg_1 _let_1 _let_2) (tptp.v5_unialg_1 _let_1 _let_2) (tptp.v2_relat_1 _let_1)))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.g1_unialg_1 (tptp.k1_tarski tptp.k1_xboole_0) (tptp.k8_pralg_1 A)))) (=> (tptp.m2_finseq_1 A tptp.k5_numbers) (=> (not (= A tptp.k1_xboole_0)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v3_unialg_1 _let_1) (tptp.v6_unialg_1 _let_1) (tptp.v7_unialg_1 _let_1) (tptp.v8_unialg_1 _let_1) (tptp.l1_unialg_1 _let_1)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.m2_finseq_1 A tptp.k5_numbers)) (= (tptp.k9_pralg_1 A) (tptp.g1_unialg_1 (tptp.k1_tarski tptp.k1_xboole_0) (tptp.k8_pralg_1 A))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (= (tptp.v1_pralg_1 A) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k1_funct_1 A B))) (=> (tptp.r2_hidden B (tptp.k1_relat_1 A)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v6_unialg_1 _let_1) (tptp.v7_unialg_1 _let_1) (tptp.v8_unialg_1 _let_1) (tptp.l1_unialg_1 _let_1)))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (= (tptp.v2_pralg_1 A) (forall ((B $$unsorted)) (=> (tptp.r2_hidden B (tptp.k1_relat_1 A)) (tptp.l1_struct_0 (tptp.k1_funct_1 A B))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (= (tptp.v3_pralg_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)) (forall ((D $$unsorted)) (=> (and (not (tptp.v3_struct_0 D)) (tptp.v6_unialg_1 D) (tptp.v7_unialg_1 D) (tptp.v8_unialg_1 D) (tptp.l1_unialg_1 D)) (forall ((E $$unsorted)) (=> (and (not (tptp.v3_struct_0 E)) (tptp.v6_unialg_1 E) (tptp.v7_unialg_1 E) (tptp.v8_unialg_1 E) (tptp.l1_unialg_1 E)) (=> (and (= D (tptp.k1_funct_1 A B)) (= E (tptp.k1_funct_1 A C))) (= (tptp.k3_unialg_1 D) (tptp.k3_unialg_1 E))))))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v2_pralg_1 B) (tptp.m1_pboole B A)) (forall ((C $$unsorted)) (=> (tptp.m1_pboole C A) (= (= C (tptp.k12_pralg_1 A B)) (forall ((D $$unsorted)) (not (and (tptp.r2_hidden D A) (forall ((E $$unsorted)) (=> (tptp.l1_struct_0 E) (not (and (= E (tptp.k1_funct_1 B D)) (= (tptp.k1_funct_1 C D) (tptp.u1_struct_0 E)))))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_pralg_1 B) (tptp.v3_pralg_1 B) (tptp.m1_pboole B A)) (forall ((C $$unsorted)) (=> (tptp.m2_finseq_1 C tptp.k5_numbers) (= (= C (tptp.k13_pralg_1 A B)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D A) (= C (tptp.k3_unialg_1 (tptp.k11_pralg_1 A B D)))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (and (tptp.v2_relat_1 B) (tptp.m1_pboole B A)) (forall ((C $$unsorted)) (=> (and (tptp.v1_funcop_1 C) (tptp.m1_pboole C A)) (= (tptp.m1_pralg_1 C A B) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k1_funct_1 B D))) (let ((_let_2 (tptp.k1_funct_1 C D))) (=> (tptp.m1_subset_1 D A) (and (not (tptp.v1_xboole_0 _let_2)) (tptp.v1_funct_1 _let_2) (tptp.v1_unialg_1 _let_2 _let_1) (tptp.v2_unialg_1 _let_2 _let_1) (tptp.m2_relset_1 _let_2 (tptp.k3_finseq_2 _let_1) _let_1))))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (= (tptp.v4_pralg_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)) (forall ((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)) (=> (and (= (tptp.k1_funct_1 A B) D) (= (tptp.k1_funct_1 A C) E)) (forall ((F $$unsorted)) (=> (tptp.m2_subset_1 F tptp.k1_numbers tptp.k5_numbers) (forall ((G $$unsorted)) (=> (tptp.m2_subset_1 G tptp.k1_numbers tptp.k5_numbers) (forall ((H $$unsorted)) (=> (not (tptp.v1_xboole_0 H)) (forall ((I $$unsorted)) (=> (not (tptp.v1_xboole_0 I)) (=> (and (= (tptp.k1_relat_1 D) (tptp.k4_finseq_2 F H)) (= (tptp.k1_relat_1 E) (tptp.k4_finseq_2 G I))) (forall ((J $$unsorted)) (=> (and (not (tptp.v1_xboole_0 J)) (tptp.v1_funct_1 J) (tptp.v1_unialg_1 J H) (tptp.v2_unialg_1 J H) (tptp.m2_relset_1 J (tptp.k3_finseq_2 H) H)) (forall ((K $$unsorted)) (=> (and (not (tptp.v1_xboole_0 K)) (tptp.v1_funct_1 K) (tptp.v1_unialg_1 K I) (tptp.v2_unialg_1 K I) (tptp.m2_relset_1 K (tptp.k3_finseq_2 I) I)) (=> (and (= D J) (= E K)) (= (tptp.k2_unialg_1 H J) (tptp.k2_unialg_1 I K))))))))))))))))))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (and (tptp.v2_relat_1 B) (tptp.m1_pboole B A)) (forall ((C $$unsorted)) (=> (tptp.m1_pralg_1 C A B) (= (tptp.v4_pralg_1 C) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D A) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E A) (= (tptp.k2_unialg_1 (tptp.k1_funct_1 B D) (tptp.k14_pralg_1 A B C D)) (tptp.k2_unialg_1 (tptp.k1_funct_1 B E) (tptp.k14_pralg_1 A B C E)))))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_funcop_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_pralg_1 A B)) (and (= (tptp.k1_relat_1 C) (tptp.k1_relat_1 A)) (forall ((D $$unsorted)) (=> (tptp.r2_hidden D (tptp.k1_relat_1 A)) (= (tptp.k1_funct_1 C D) (tptp.k1_funct_1 (tptp.k1_funct_1 A D) (tptp.k1_funct_1 B D))))))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_funcop_1 B) (tptp.m1_pboole B A)) (forall ((C $$unsorted)) (=> (tptp.m1_pboole C A) (forall ((D $$unsorted)) (=> (tptp.m1_pboole D A) (= (= D (tptp.k16_pralg_1 A B C)) (forall ((E $$unsorted)) (=> (tptp.r2_hidden E A) (forall ((F $$unsorted)) (=> (and (tptp.v1_relat_1 F) (tptp.v1_funct_1 F)) (=> (= F (tptp.k1_funct_1 B E)) (= (tptp.k1_funct_1 D E) (tptp.k1_funct_1 F (tptp.k1_funct_1 C E))))))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (and (tptp.v2_relat_1 B) (tptp.m1_pboole B A)) (forall ((C $$unsorted)) (=> (and (tptp.v4_pralg_1 C) (tptp.m1_pralg_1 C A B)) (forall ((D $$unsorted)) (=> (tptp.m2_subset_1 D tptp.k1_numbers tptp.k5_numbers) (= (= D (tptp.k20_pralg_1 A B C)) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E A) (= D (tptp.k2_unialg_1 (tptp.k1_funct_1 B E) (tptp.k14_pralg_1 A B C E)))))))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m1_pboole C A) (= (= C (tptp.k21_pralg_1 A B)) (forall ((D $$unsorted)) (=> (tptp.r2_hidden D A) (= (tptp.k1_funct_1 C D) (tptp.k1_subset_1 (tptp.k1_funct_1 B D)))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (and (tptp.v2_relat_1 B) (tptp.m1_pboole B A)) (forall ((C $$unsorted)) (=> (and (tptp.v4_pralg_1 C) (tptp.m1_pralg_1 C A B)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k4_card_3 B))) (=> (and (not (tptp.v1_xboole_0 D)) (tptp.v1_funct_1 D) (tptp.v1_unialg_1 D _let_1) (tptp.v2_unialg_1 D _let_1) (tptp.m2_relset_1 D (tptp.k3_finseq_2 _let_1) _let_1)) (= (= D (tptp.k22_pralg_1 A B C)) (and (= (tptp.k1_relat_1 D) (tptp.k4_finseq_2 (tptp.k20_pralg_1 A B C) _let_1)) (forall ((E $$unsorted)) (let ((_let_1 (= (tptp.k4_finseq_1 E) tptp.k1_xboole_0))) (let ((_let_2 (tptp.k4_card_3 B))) (=> (tptp.m2_finseq_2 E _let_2 (tptp.k3_finseq_2 _let_2)) (=> (tptp.r2_hidden E (tptp.k1_relat_1 D)) (and (=> _let_1 (= (tptp.k1_funct_1 D E) (tptp.k16_pralg_1 A C (tptp.k21_pralg_1 A B)))) (=> (not _let_1) (forall ((F $$unsorted)) (=> (not (tptp.v1_xboole_0 F)) (forall ((G $$unsorted)) (let ((_let_1 (tptp.k4_finseq_1 E))) (=> (tptp.m1_pboole G (tptp.k2_zfmisc_1 A F)) (=> (and (= F _let_1) (= G (tptp.k18_pralg_1 _let_1 A (tptp.k17_pralg_1 A B E)))) (= (tptp.k1_funct_1 D E) (tptp.k16_pralg_1 A C (tptp.k19_pralg_1 A F G))))))))))))))))))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_pralg_1 B) (tptp.v3_pralg_1 B) (tptp.m1_pboole B A)) (forall ((C $$unsorted)) (=> (tptp.v4_ordinal2 C) (=> (tptp.r2_hidden C (tptp.k4_finseq_1 (tptp.k13_pralg_1 A B))) (forall ((D $$unsorted)) (=> (and (tptp.v4_pralg_1 D) (tptp.m1_pralg_1 D A (tptp.k12_pralg_1 A B))) (= (= D (tptp.k23_pralg_1 A B C)) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E A) (forall ((F $$unsorted)) (let ((_let_1 (tptp.k11_pralg_1 A B E))) (=> (tptp.m2_unialg_2 F (tptp.u1_struct_0 _let_1) (tptp.k1_unialg_2 _let_1)) (=> (= (tptp.k1_funct_1 (tptp.u1_unialg_1 _let_1) C) F) (= (tptp.k14_pralg_1 A (tptp.k12_pralg_1 A B) D E) F))))))))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_pralg_1 B) (tptp.v3_pralg_1 B) (tptp.m1_pboole B A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k4_card_3 (tptp.k12_pralg_1 A B)))) (=> (tptp.m2_finseq_1 C (tptp.k4_partfun1 (tptp.k13_finseq_1 _let_1) _let_1)) (= (= C (tptp.k24_pralg_1 A B)) (and (= (tptp.k3_finseq_1 C) (tptp.k3_finseq_1 (tptp.k13_pralg_1 A B))) (forall ((D $$unsorted)) (=> (tptp.m2_subset_1 D tptp.k1_numbers tptp.k5_numbers) (=> (tptp.r2_hidden D (tptp.k4_finseq_1 C)) (= (tptp.k1_funct_1 C D) (tptp.k22_pralg_1 A (tptp.k12_pralg_1 A B) (tptp.k23_pralg_1 A B D))))))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_pralg_1 B) (tptp.v3_pralg_1 B) (tptp.m1_pboole B A)) (= (tptp.k25_pralg_1 A B) (tptp.g1_unialg_1 (tptp.k4_card_3 (tptp.k12_pralg_1 A B)) (tptp.k24_pralg_1 A B))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v2_relat_1 B) (tptp.m1_pboole B A)) (forall ((C $$unsorted)) (=> (tptp.m1_pralg_1 C A B) (and (tptp.v1_funcop_1 C) (tptp.m1_pboole C A)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v2_relat_1 B) (tptp.m1_pboole B A)) (exists ((C $$unsorted)) (tptp.m1_pralg_1 C A B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (not (tptp.v1_xboole_0 B)) (tptp.m1_finseq_1 C (tptp.k2_zfmisc_1 A B))) (tptp.m2_finseq_1 (tptp.k1_pralg_1 A B C) A))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (not (tptp.v1_xboole_0 B)) (tptp.m1_finseq_1 C (tptp.k2_zfmisc_1 A B))) (= (tptp.k1_pralg_1 A B C) (tptp.k15_mcart_1 C)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (not (tptp.v1_xboole_0 B)) (tptp.m1_finseq_1 C (tptp.k2_zfmisc_1 A B))) (tptp.m2_finseq_1 (tptp.k2_pralg_1 A B C) B))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (not (tptp.v1_xboole_0 B)) (tptp.m1_finseq_1 C (tptp.k2_zfmisc_1 A B))) (= (tptp.k2_pralg_1 A B C) (tptp.k16_mcart_1 C)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A B))) (let ((_let_2 (tptp.k3_pralg_1 A B C D))) (=> (and (not (tptp.v1_xboole_0 A)) (not (tptp.v1_xboole_0 B)) (not (tptp.v1_xboole_0 C)) (tptp.v1_funct_1 C) (tptp.v1_unialg_1 C A) (tptp.v2_unialg_1 C A) (tptp.m1_relset_1 C (tptp.k3_finseq_2 A) A) (not (tptp.v1_xboole_0 D)) (tptp.v1_funct_1 D) (tptp.v1_unialg_1 D B) (tptp.v2_unialg_1 D B) (tptp.m1_relset_1 D (tptp.k3_finseq_2 B) B)) (and (not (tptp.v1_xboole_0 _let_2)) (tptp.v1_funct_1 _let_2) (tptp.v1_unialg_1 _let_2 _let_1) (tptp.v2_unialg_1 _let_2 _let_1) (tptp.m2_relset_1 _let_2 (tptp.k3_finseq_2 _let_1) _let_1)))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 (tptp.u1_struct_0 A) (tptp.u1_struct_0 B)))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v6_unialg_1 A) (tptp.v7_unialg_1 A) (tptp.v8_unialg_1 A) (tptp.l1_unialg_1 A) (not (tptp.v3_struct_0 B)) (tptp.v6_unialg_1 B) (tptp.v7_unialg_1 B) (tptp.v8_unialg_1 B) (tptp.l1_unialg_1 B)) (tptp.m2_finseq_1 (tptp.k4_pralg_1 A B) (tptp.k4_partfun1 (tptp.k13_finseq_1 _let_1) _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k5_pralg_1 A B))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v6_unialg_1 A) (tptp.v7_unialg_1 A) (tptp.v8_unialg_1 A) (tptp.l1_unialg_1 A) (not (tptp.v3_struct_0 B)) (tptp.v6_unialg_1 B) (tptp.v7_unialg_1 B) (tptp.v8_unialg_1 B) (tptp.l1_unialg_1 B)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v3_unialg_1 _let_1) (tptp.v6_unialg_1 _let_1) (tptp.v7_unialg_1 _let_1) (tptp.v8_unialg_1 _let_1) (tptp.l1_unialg_1 _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 B A))) (let ((_let_2 (tptp.k2_zfmisc_1 A B))) (let ((_let_3 (tptp.k6_pralg_1 A B))) (=> (and (not (tptp.v1_xboole_0 A)) (not (tptp.v1_xboole_0 B))) (and (tptp.v1_funct_1 _let_3) (tptp.v1_funct_2 _let_3 _let_2 _let_1) (tptp.m2_relset_1 _let_3 _let_2 _let_1))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k1_tarski tptp.k1_xboole_0))) (let ((_let_2 (tptp.k7_pralg_1 A))) (=> (tptp.v4_ordinal2 A) (and (tptp.v1_funct_1 _let_2) (tptp.m2_relset_1 _let_2 (tptp.k3_finseq_2 _let_1) _let_1)))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k1_tarski tptp.k1_xboole_0))) (=> (tptp.m1_finseq_1 A tptp.k5_numbers) (tptp.m2_finseq_1 (tptp.k8_pralg_1 A) (tptp.k4_partfun1 (tptp.k13_finseq_1 _let_1) _let_1))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k9_pralg_1 A))) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.m1_finseq_1 A tptp.k5_numbers)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v3_unialg_1 _let_1) (tptp.v6_unialg_1 _let_1) (tptp.v7_unialg_1 _let_1) (tptp.v8_unialg_1 _let_1) (tptp.l1_unialg_1 _let_1))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v2_pralg_1 B) (tptp.m1_pboole B A) (tptp.m1_subset_1 C A)) (tptp.l1_struct_0 (tptp.k10_pralg_1 A B C)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v2_pralg_1 B) (tptp.m1_pboole B A) (tptp.m1_subset_1 C A)) (= (tptp.k10_pralg_1 A B C) (tptp.k1_funct_1 B C)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k11_pralg_1 A B C))) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v1_pralg_1 B) (tptp.m1_pboole B A) (tptp.m1_subset_1 C A)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v6_unialg_1 _let_1) (tptp.v7_unialg_1 _let_1) (tptp.v8_unialg_1 _let_1) (tptp.l1_unialg_1 _let_1))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v1_pralg_1 B) (tptp.m1_pboole B A) (tptp.m1_subset_1 C A)) (= (tptp.k11_pralg_1 A B C) (tptp.k1_funct_1 B C)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v2_pralg_1 B) (tptp.m1_pboole B A)) (tptp.m1_pboole (tptp.k12_pralg_1 A B) A))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v1_pralg_1 B) (tptp.v3_pralg_1 B) (tptp.m1_pboole B A)) (tptp.m2_finseq_1 (tptp.k13_pralg_1 A B) tptp.k5_numbers))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k1_funct_1 B D))) (let ((_let_2 (tptp.k14_pralg_1 A B C D))) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v2_relat_1 B) (tptp.m1_pboole B A) (tptp.m1_pralg_1 C A B) (tptp.m1_subset_1 D A)) (and (not (tptp.v1_xboole_0 _let_2)) (tptp.v1_funct_1 _let_2) (tptp.v1_unialg_1 _let_2 _let_1) (tptp.v2_unialg_1 _let_2 _let_1) (tptp.m2_relset_1 _let_2 (tptp.k3_finseq_2 _let_1) _let_1)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v2_relat_1 B) (tptp.m1_pboole B A) (tptp.m1_pralg_1 C A B) (tptp.m1_subset_1 D A)) (= (tptp.k14_pralg_1 A B C D) (tptp.k1_funct_1 C D)))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k15_pralg_1 A B))) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_funcop_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 $$unsorted)) (=> (and (tptp.v1_funcop_1 B) (tptp.m1_pboole B A) (tptp.m1_pboole C A)) (tptp.m1_pboole (tptp.k16_pralg_1 A B C) A))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funcop_1 B) (tptp.m1_pboole B A) (tptp.m1_pboole C A)) (= (tptp.k16_pralg_1 A B C) (tptp.k15_pralg_1 B C)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v2_relat_1 B) (tptp.m1_pboole B A) (tptp.m1_finseq_1 C (tptp.k4_card_3 B))) (tptp.m1_pboole (tptp.k17_pralg_1 A B C) (tptp.k2_zfmisc_1 (tptp.k4_finseq_1 C) A)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v2_relat_1 B) (tptp.m1_pboole B A) (tptp.m1_finseq_1 C (tptp.k4_card_3 B))) (= (tptp.k17_pralg_1 A B C) (tptp.k4_funct_5 C)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.m1_pboole C (tptp.k2_zfmisc_1 A B)) (tptp.m1_pboole (tptp.k18_pralg_1 A B C) (tptp.k2_zfmisc_1 B A)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.m1_pboole C (tptp.k2_zfmisc_1 A B)) (= (tptp.k18_pralg_1 A B C) (tptp.k2_funct_4 C)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.m1_pboole C (tptp.k2_zfmisc_1 A B))) (tptp.m1_pboole (tptp.k19_pralg_1 A B C) A))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.m1_pboole C (tptp.k2_zfmisc_1 A B))) (= (tptp.k19_pralg_1 A B C) (tptp.k3_funct_5 C)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v2_relat_1 B) (tptp.m1_pboole B A) (tptp.v4_pralg_1 C) (tptp.m1_pralg_1 C A B)) (tptp.m2_subset_1 (tptp.k20_pralg_1 A B C) tptp.k1_numbers tptp.k5_numbers))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (tptp.m1_pboole (tptp.k21_pralg_1 A B) A))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k4_card_3 B))) (let ((_let_2 (tptp.k22_pralg_1 A B C))) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v2_relat_1 B) (tptp.m1_pboole B A) (tptp.v4_pralg_1 C) (tptp.m1_pralg_1 C A B)) (and (not (tptp.v1_xboole_0 _let_2)) (tptp.v1_funct_1 _let_2) (tptp.v1_unialg_1 _let_2 _let_1) (tptp.v2_unialg_1 _let_2 _let_1) (tptp.m2_relset_1 _let_2 (tptp.k3_finseq_2 _let_1) _let_1)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k23_pralg_1 A B C))) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v1_pralg_1 B) (tptp.v3_pralg_1 B) (tptp.m1_pboole B A) (tptp.v4_ordinal2 C)) (and (tptp.v4_pralg_1 _let_1) (tptp.m1_pralg_1 _let_1 A (tptp.k12_pralg_1 A B)))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k4_card_3 (tptp.k12_pralg_1 A B)))) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v1_pralg_1 B) (tptp.v3_pralg_1 B) (tptp.m1_pboole B A)) (tptp.m2_finseq_1 (tptp.k24_pralg_1 A B) (tptp.k4_partfun1 (tptp.k13_finseq_1 _let_1) _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k25_pralg_1 A B))) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v1_pralg_1 B) (tptp.v3_pralg_1 B) (tptp.m1_pboole B A)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v3_unialg_1 _let_1) (tptp.v6_unialg_1 _let_1) (tptp.v7_unialg_1 _let_1) (tptp.v8_unialg_1 _let_1) (tptp.l1_unialg_1 _let_1))))) (exists ((A $$unsorted)) (and (not (tptp.v1_xboole_0 A)) (tptp.v1_realset1 A))) (forall ((A $$unsorted)) (exists ((B $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 A))) (and (tptp.m1_subset_1 B _let_1) (not (tptp.v1_tex_2 B _let_1)))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 A))) (=> (tptp.m1_subset_1 B _let_1) (=> (not (tptp.v1_tex_2 B _let_1)) (not (tptp.v1_xboole_0 B)))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 A))) (=> (tptp.m1_subset_1 B _let_1) (=> (tptp.v1_xboole_0 B) (tptp.v1_tex_2 B _let_1))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v1_realset1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 A))) (let ((_let_2 (tptp.v1_tex_2 B _let_1))) (=> (tptp.m1_subset_1 B _let_1) (=> _let_2 (and (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) _let_2)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v1_realset1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 A))) (let ((_let_2 (not (tptp.v1_xboole_0 B)))) (=> (tptp.m1_subset_1 B _let_1) (=> _let_2 (and _let_2 (not (tptp.v1_tex_2 B _let_1)))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (exists ((B $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 A))) (and (tptp.m1_subset_1 B _let_1) (tptp.v1_tex_2 B _let_1)))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (exists ((B $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 A))) (and (tptp.m1_subset_1 B _let_1) (not (tptp.v1_xboole_0 B)) (not (tptp.v1_tex_2 B _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_realset1 B))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k1_tarski A))) (and (not (tptp.v1_xboole_0 _let_1)) (tptp.v1_realset1 _let_1) (tptp.v1_finset_1 _let_1)))) (forall ((A $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v1_realset1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 A))) (let ((_let_2 (not (tptp.v1_tex_2 B _let_1)))) (let ((_let_3 (not (tptp.v1_xboole_0 B)))) (=> (tptp.m1_subset_1 B _let_1) (=> (and _let_3 _let_2) (and _let_3 (tptp.v1_realset1 B) _let_2))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (not (tptp.v1_realset1 A))) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 A))) (let ((_let_2 (not (tptp.v1_xboole_0 B)))) (=> (tptp.m1_subset_1 B _let_1) (=> (and _let_2 (tptp.v1_realset1 B)) (and _let_2 (tptp.v1_tex_2 B _let_1))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (not (tptp.v1_realset1 A))) (forall ((B $$unsorted)) (let ((_let_1 (not (tptp.v1_xboole_0 B)))) (let ((_let_2 (tptp.k1_zfmisc_1 A))) (=> (tptp.m1_subset_1 B _let_2) (=> (and _let_1 (not (tptp.v1_tex_2 B _let_2))) (and _let_1 (not (tptp.v1_realset1 B)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (not (tptp.v1_realset1 A))) (exists ((B $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 A))) (and (tptp.m1_subset_1 B _let_1) (not (tptp.v1_xboole_0 B)) (tptp.v1_realset1 B) (tptp.v1_tex_2 B _let_1)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (not (tptp.v1_realset1 A))) (exists ((B $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 A))) (and (tptp.m1_subset_1 B _let_1) (not (tptp.v1_xboole_0 B)) (not (tptp.v1_realset1 B)) (not (tptp.v1_tex_2 B _let_1))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_realset2 A) (tptp.l1_struct_0 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (let ((_let_2 (not (tptp.v1_xboole_0 B)))) (=> (tptp.m1_subset_1 B _let_1) (=> _let_2 (and _let_2 (not (tptp.v1_tex_2 B _let_1)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_realset2 A) (tptp.l1_struct_0 A)) (forall ((B $$unsorted)) (let ((_let_1 (not (tptp.v1_xboole_0 B)))) (let ((_let_2 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (=> (tptp.m1_subset_1 B _let_2) (=> (and _let_1 (not (tptp.v1_tex_2 B _let_2))) (and _let_1 (tptp.v1_realset1 B))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (not (tptp.v3_realset2 A)) (tptp.l1_struct_0 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (let ((_let_2 (not (tptp.v1_xboole_0 B)))) (=> (tptp.m1_subset_1 B _let_1) (=> (and _let_2 (tptp.v1_realset1 B)) (and _let_2 (tptp.v1_tex_2 B _let_1))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (not (tptp.v3_realset2 A)) (tptp.l1_struct_0 A)) (forall ((B $$unsorted)) (let ((_let_1 (not (tptp.v1_xboole_0 B)))) (let ((_let_2 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (=> (tptp.m1_subset_1 B _let_2) (=> (and _let_1 (not (tptp.v1_tex_2 B _let_2))) (and _let_1 (not (tptp.v1_realset1 B)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (not (tptp.v3_realset2 A)) (tptp.l1_struct_0 A)) (exists ((B $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (and (tptp.m1_subset_1 B _let_1) (not (tptp.v1_xboole_0 B)) (tptp.v1_realset1 B) (tptp.v1_tex_2 B _let_1)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (not (tptp.v3_realset2 A)) (tptp.l1_struct_0 A)) (exists ((B $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (and (tptp.m1_subset_1 B _let_1) (not (tptp.v1_xboole_0 B)) (not (tptp.v1_realset1 B)) (not (tptp.v1_tex_2 B _let_1))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (not (tptp.v3_realset2 A)) (tptp.l1_struct_0 A)) (exists ((B $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (and (tptp.m1_subset_1 B _let_1) (not (tptp.v1_xboole_0 B)) (tptp.v1_realset1 B) (tptp.v1_tex_2 B _let_1)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_realset2 A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (let ((_let_1 (not (tptp.v3_struct_0 B)))) (=> (tptp.m1_pre_topc B A) (=> _let_1 (and _let_1 (not (tptp.v2_tex_2 B A))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_realset2 A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (let ((_let_1 (not (tptp.v3_struct_0 B)))) (=> (tptp.m1_pre_topc B A) (=> (and _let_1 (not (tptp.v2_tex_2 B A))) (and _let_1 (tptp.v3_realset2 B)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (not (tptp.v3_realset2 A)) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (let ((_let_1 (not (tptp.v3_struct_0 B)))) (=> (tptp.m1_pre_topc B A) (=> (and _let_1 (tptp.v3_realset2 B)) (and _let_1 (tptp.v2_tex_2 B A)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (not (tptp.v3_realset2 A)) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (let ((_let_1 (not (tptp.v3_struct_0 B)))) (=> (tptp.m1_pre_topc B A) (=> (and _let_1 (not (tptp.v2_tex_2 B A))) (and _let_1 (not (tptp.v3_realset2 B))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_pre_topc A)) (exists ((B $$unsorted)) (and (tptp.m1_pre_topc B A) (not (tptp.v3_struct_0 B)) (tptp.v1_pre_topc B) (not (tptp.v2_tex_2 B A)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_pre_topc B A) (=> (tptp.v1_tdlat_3 B) (tptp.v2_pre_topc B)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_pre_topc B A) (=> (tptp.v2_tdlat_3 B) (tptp.v2_pre_topc B)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_pre_topc B A) (=> (not (tptp.v2_pre_topc B)) (not (tptp.v1_tdlat_3 B))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_pre_topc B A) (=> (not (tptp.v2_pre_topc B)) (not (tptp.v2_tdlat_3 B))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_pre_topc B A) (=> (tptp.v1_tdlat_3 B) (tptp.v3_tdlat_3 B)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_pre_topc B A) (=> (not (tptp.v3_tdlat_3 B)) (not (tptp.v1_tdlat_3 B))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_pre_topc B A) (=> (tptp.v2_tdlat_3 B) (tptp.v3_tdlat_3 B)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_pre_topc B A) (=> (not (tptp.v3_tdlat_3 B)) (not (tptp.v2_tdlat_3 B))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (let ((_let_1 (not (tptp.v3_struct_0 B)))) (=> (tptp.m1_pre_topc B A) (=> (and _let_1 (tptp.v1_tdlat_3 B) (tptp.v2_tdlat_3 B)) (and _let_1 (tptp.v3_realset2 B)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (let ((_let_1 (not (tptp.v3_struct_0 B)))) (=> (tptp.m1_pre_topc B A) (=> (and _let_1 (tptp.v2_tdlat_3 B) (not (tptp.v3_realset2 B))) (and _let_1 (not (tptp.v1_tdlat_3 B))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (let ((_let_1 (not (tptp.v3_struct_0 B)))) (=> (tptp.m1_pre_topc B A) (=> (and _let_1 (tptp.v1_tdlat_3 B) (not (tptp.v3_realset2 B))) (and _let_1 (not (tptp.v2_tdlat_3 B))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_pre_topc A)) (exists ((B $$unsorted)) (and (tptp.m1_pre_topc B A) (not (tptp.v3_struct_0 B)) (tptp.v1_pre_topc B) (tptp.v3_realset2 B))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k1_tex_2 A B))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_pre_topc A) (tptp.m1_subset_1 B (tptp.u1_struct_0 A))) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v1_pre_topc _let_1) (tptp.v3_realset2 _let_1))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (not (tptp.v3_realset2 A)) (tptp.l1_pre_topc A)) (exists ((B $$unsorted)) (and (tptp.m1_pre_topc B A) (not (tptp.v3_struct_0 B)) (tptp.v1_pre_topc B) (tptp.v3_realset2 B) (tptp.v2_tex_2 B A))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.v3_realset2 B))) (let ((_let_2 (tptp.v2_pre_topc B))) (let ((_let_3 (not (tptp.v3_struct_0 B)))) (=> (tptp.m1_pre_topc B A) (=> (and _let_3 _let_2 _let_1) (and _let_3 _let_2 (tptp.v1_tdlat_3 B) (tptp.v2_tdlat_3 B) (tptp.v3_tdlat_3 B) (tptp.v4_tdlat_3 B) (tptp.v5_tdlat_3 B) _let_1))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (exists ((B $$unsorted)) (and (tptp.m1_pre_topc B A) (not (tptp.v3_struct_0 B)) (tptp.v1_pre_topc B) (tptp.v2_pre_topc B) (tptp.v1_tdlat_3 B) (tptp.v2_tdlat_3 B) (tptp.v3_tdlat_3 B) (tptp.v4_tdlat_3 B) (tptp.v5_tdlat_3 B) (tptp.v3_realset2 B))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k1_tex_2 A B))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A) (tptp.m1_subset_1 B (tptp.u1_struct_0 A))) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v1_pre_topc _let_1) (tptp.v2_pre_topc _let_1) (tptp.v1_tdlat_3 _let_1) (tptp.v2_tdlat_3 _let_1) (tptp.v3_tdlat_3 _let_1) (tptp.v4_tdlat_3 _let_1) (tptp.v5_tdlat_3 _let_1) (tptp.v3_realset2 _let_1))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (exists ((B $$unsorted)) (and (tptp.m1_pre_topc B A) (not (tptp.v3_struct_0 B)) (tptp.v1_pre_topc B) (tptp.v2_pre_topc B) (tptp.v1_tdlat_3 B) (tptp.v2_tdlat_3 B) (tptp.v3_tdlat_3 B) (tptp.v4_tdlat_3 B) (tptp.v5_tdlat_3 B) (tptp.v3_realset2 B))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k1_tex_2 A B))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A) (tptp.m1_subset_1 B (tptp.u1_struct_0 A))) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v1_pre_topc _let_1) (tptp.v2_pre_topc _let_1) (tptp.v1_tdlat_3 _let_1) (tptp.v2_tdlat_3 _let_1) (tptp.v3_tdlat_3 _let_1) (tptp.v4_tdlat_3 _let_1) (tptp.v5_tdlat_3 _let_1) (tptp.v3_realset2 _let_1))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_pre_topc B A) (=> (not (tptp.v2_tex_2 B A)) (and (tptp.v2_pre_topc B) (tptp.v1_tsep_1 B A) (tptp.v1_borsuk_1 B A))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_pre_topc B A) (=> (not (tptp.v1_tsep_1 B A)) (and (tptp.v2_pre_topc B) (tptp.v2_tex_2 B A))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_pre_topc B A) (=> (not (tptp.v1_borsuk_1 B A)) (and (tptp.v2_pre_topc B) (tptp.v2_tex_2 B A))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (exists ((B $$unsorted)) (and (tptp.m1_pre_topc B A) (tptp.v1_pre_topc B) (tptp.v2_pre_topc B) (tptp.v1_tsep_1 B A) (tptp.v1_borsuk_1 B A))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.v1_tdlat_3 A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.v2_tdlat_3 B))) (let ((_let_2 (not (tptp.v3_struct_0 B)))) (=> (tptp.m1_pre_topc B A) (=> (and _let_2 _let_1) (and _let_2 (tptp.v2_pre_topc B) (tptp.v1_tsep_1 B A) (tptp.v1_borsuk_1 B A) (tptp.v1_tdlat_3 B) _let_1 (tptp.v3_tdlat_3 B) (tptp.v4_tdlat_3 B) (tptp.v5_tdlat_3 B) (tptp.v3_realset2 B))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.v1_tdlat_3 A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (let ((_let_1 (not (tptp.v3_realset2 B)))) (let ((_let_2 (not (tptp.v3_struct_0 B)))) (=> (tptp.m1_pre_topc B A) (=> (and _let_2 _let_1) (and _let_2 (tptp.v2_pre_topc B) (tptp.v1_tsep_1 B A) (tptp.v1_borsuk_1 B A) (tptp.v1_tdlat_3 B) (not (tptp.v2_tdlat_3 B)) (tptp.v3_tdlat_3 B) (tptp.v4_tdlat_3 B) (tptp.v5_tdlat_3 B) _let_1)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.v1_tdlat_3 A) (not (tptp.v3_realset2 A)) (tptp.l1_pre_topc A)) (exists ((B $$unsorted)) (and (tptp.m1_pre_topc B A) (tptp.v1_pre_topc B) (tptp.v2_pre_topc B) (tptp.v1_tsep_1 B A) (tptp.v1_borsuk_1 B A) (tptp.v1_tdlat_3 B) (tptp.v3_tdlat_3 B) (tptp.v2_tex_2 B A))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.v2_tdlat_3 A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.v1_tdlat_3 B))) (let ((_let_2 (not (tptp.v3_struct_0 B)))) (=> (tptp.m1_pre_topc B A) (=> (and _let_2 _let_1) (and _let_2 (tptp.v2_pre_topc B) _let_1 (tptp.v2_tdlat_3 B) (tptp.v3_tdlat_3 B) (tptp.v4_tdlat_3 B) (tptp.v5_tdlat_3 B) (tptp.v3_realset2 B))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.v2_tdlat_3 A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (let ((_let_1 (not (tptp.v3_realset2 B)))) (let ((_let_2 (not (tptp.v3_struct_0 B)))) (=> (tptp.m1_pre_topc B A) (=> (and _let_2 _let_1) (and _let_2 (tptp.v2_pre_topc B) (not (tptp.v1_tdlat_3 B)) (tptp.v2_tdlat_3 B) (tptp.v3_tdlat_3 B) (tptp.v4_tdlat_3 B) (tptp.v5_tdlat_3 B) _let_1)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.v2_tdlat_3 A) (not (tptp.v3_realset2 A)) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.v2_tex_2 B A))) (let ((_let_2 (not (tptp.v3_struct_0 B)))) (=> (tptp.m1_pre_topc B A) (=> (and _let_2 _let_1) (and _let_2 (tptp.v2_pre_topc B) (not (tptp.v1_tsep_1 B A)) (not (tptp.v1_borsuk_1 B A)) (tptp.v2_tdlat_3 B) (tptp.v3_tdlat_3 B) (tptp.v4_tdlat_3 B) (tptp.v5_tdlat_3 B) _let_1)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.v2_tdlat_3 A) (not (tptp.v3_realset2 A)) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.v1_tdlat_3 B))) (let ((_let_2 (not (tptp.v3_struct_0 B)))) (=> (tptp.m1_pre_topc B A) (=> (and _let_2 _let_1) (and _let_2 (tptp.v2_pre_topc B) _let_1 (tptp.v2_tdlat_3 B) (tptp.v3_tdlat_3 B) (tptp.v4_tdlat_3 B) (tptp.v5_tdlat_3 B) (tptp.v3_realset2 B) (tptp.v2_tex_2 B A))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.v2_tdlat_3 A) (not (tptp.v3_realset2 A)) (tptp.l1_pre_topc A)) (exists ((B $$unsorted)) (and (tptp.m1_pre_topc B A) (tptp.v1_pre_topc B) (tptp.v2_pre_topc B) (not (tptp.v1_tsep_1 B A)) (not (tptp.v1_borsuk_1 B A)) (tptp.v2_tdlat_3 B) (tptp.v3_tdlat_3 B) (tptp.v2_tex_2 B A))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.v3_tdlat_3 A) (not (tptp.v3_realset2 A)) (tptp.l1_pre_topc A)) (exists ((B $$unsorted)) (and (tptp.m1_pre_topc B A) (not (tptp.v3_struct_0 B)) (tptp.v1_pre_topc B) (tptp.v2_pre_topc B) (tptp.v3_tdlat_3 B) (tptp.v4_tdlat_3 B) (tptp.v5_tdlat_3 B) (tptp.v2_tex_2 B A))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (let ((_let_1 (not (tptp.v3_struct_0 B)))) (=> (tptp.m1_pre_topc B A) (=> (and _let_1 (tptp.v5_tex_2 B A)) (and _let_1 (tptp.v2_pre_topc B) (tptp.v1_tdlat_3 B) (tptp.v3_tdlat_3 B) (tptp.v4_tdlat_3 B) (tptp.v5_tdlat_3 B)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (let ((_let_1 (not (tptp.v3_struct_0 B)))) (=> (tptp.m1_pre_topc B A) (=> (and _let_1 (not (tptp.v1_tdlat_3 B))) (and _let_1 (not (tptp.v5_tex_2 B A))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.v1_tdlat_3 A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_pre_topc B A) (=> (tptp.v5_tex_2 B A) (and (tptp.v2_pre_topc B) (tptp.v1_tsep_1 B A) (tptp.v1_borsuk_1 B A) (tptp.v1_tdlat_3 B) (tptp.v3_tdlat_3 B) (not (tptp.v2_tex_2 B A)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.v1_tdlat_3 A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_pre_topc B A) (=> (tptp.v2_tex_2 B A) (and (tptp.v2_pre_topc B) (tptp.v1_tsep_1 B A) (tptp.v1_borsuk_1 B A) (tptp.v1_tdlat_3 B) (tptp.v3_tdlat_3 B) (not (tptp.v5_tex_2 B A)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.v1_tdlat_3 A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_pre_topc B A) (=> (not (tptp.v2_tex_2 B A)) (and (tptp.v2_pre_topc B) (tptp.v1_tsep_1 B A) (tptp.v1_borsuk_1 B A) (tptp.v1_tdlat_3 B) (tptp.v3_tdlat_3 B) (tptp.v5_tex_2 B A))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.v1_tdlat_3 A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_pre_topc B A) (=> (not (tptp.v5_tex_2 B A)) (and (tptp.v2_pre_topc B) (tptp.v1_tsep_1 B A) (tptp.v1_borsuk_1 B A) (tptp.v1_tdlat_3 B) (tptp.v3_tdlat_3 B) (tptp.v2_tex_2 B A))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.v2_tdlat_3 A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (let ((_let_1 (not (tptp.v3_struct_0 B)))) (=> (tptp.m1_pre_topc B A) (=> (and _let_1 (tptp.v5_tex_2 B A)) (and _let_1 (tptp.v2_pre_topc B) (tptp.v1_tdlat_3 B) (tptp.v2_tdlat_3 B) (tptp.v3_tdlat_3 B) (tptp.v4_tdlat_3 B) (tptp.v5_tdlat_3 B) (tptp.v3_realset2 B)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.v2_tdlat_3 A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (let ((_let_1 (not (tptp.v3_struct_0 B)))) (=> (tptp.m1_pre_topc B A) (=> (and _let_1 (not (tptp.v3_realset2 B))) (and _let_1 (tptp.v2_pre_topc B) (tptp.v2_tdlat_3 B) (tptp.v3_tdlat_3 B) (tptp.v4_tdlat_3 B) (tptp.v5_tdlat_3 B) (not (tptp.v5_tex_2 B A))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.v2_tdlat_3 A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.v3_realset2 B))) (let ((_let_2 (not (tptp.v3_struct_0 B)))) (=> (tptp.m1_pre_topc B A) (=> (and _let_2 _let_1) (and _let_2 (tptp.v2_pre_topc B) (tptp.v1_tdlat_3 B) (tptp.v2_tdlat_3 B) (tptp.v3_tdlat_3 B) (tptp.v4_tdlat_3 B) (tptp.v5_tdlat_3 B) _let_1 (tptp.v5_tex_2 B A))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.v2_tdlat_3 A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (let ((_let_1 (not (tptp.v5_tex_2 B A)))) (let ((_let_2 (not (tptp.v3_struct_0 B)))) (=> (tptp.m1_pre_topc B A) (=> (and _let_2 _let_1) (and _let_2 (tptp.v2_pre_topc B) (not (tptp.v1_tdlat_3 B)) (tptp.v2_tdlat_3 B) (tptp.v3_tdlat_3 B) (tptp.v4_tdlat_3 B) (tptp.v5_tdlat_3 B) (not (tptp.v3_realset2 B)) _let_1)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (not (tptp.v1_tdlat_3 A)) (tptp.v3_tdlat_3 A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (let ((_let_1 (not (tptp.v3_struct_0 B)))) (=> (tptp.m1_pre_topc B A) (=> (and _let_1 (tptp.v5_tex_2 B A)) (and _let_1 (tptp.v2_pre_topc B) (tptp.v3_tdlat_3 B) (tptp.v4_tdlat_3 B) (tptp.v5_tdlat_3 B) (tptp.v2_tex_2 B A)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (not (tptp.v1_tdlat_3 A)) (tptp.v3_tdlat_3 A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (let ((_let_1 (not (tptp.v3_struct_0 B)))) (=> (tptp.m1_pre_topc B A) (=> (and _let_1 (not (tptp.v2_tex_2 B A))) (and _let_1 (tptp.v2_pre_topc B) (tptp.v3_tdlat_3 B) (tptp.v4_tdlat_3 B) (tptp.v5_tdlat_3 B) (not (tptp.v5_tex_2 B A))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (not (tptp.v2_tdlat_3 A)) (tptp.v3_tdlat_3 A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (let ((_let_1 (not (tptp.v3_struct_0 B)))) (=> (tptp.m1_pre_topc B A) (=> (and _let_1 (tptp.v5_tex_2 B A)) (and _let_1 (tptp.v2_pre_topc B) (tptp.v3_tdlat_3 B) (tptp.v4_tdlat_3 B) (tptp.v5_tdlat_3 B) (not (tptp.v3_realset2 B))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (not (tptp.v2_tdlat_3 A)) (tptp.v3_tdlat_3 A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (let ((_let_1 (not (tptp.v3_struct_0 B)))) (=> (tptp.m1_pre_topc B A) (=> (and _let_1 (tptp.v3_realset2 B)) (and _let_1 (tptp.v2_pre_topc B) (tptp.v3_tdlat_3 B) (tptp.v4_tdlat_3 B) (tptp.v5_tdlat_3 B) (not (tptp.v5_tex_2 B A))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.v3_tdlat_3 A) (tptp.l1_pre_topc A)) (exists ((B $$unsorted)) (and (tptp.m1_pre_topc B A) (not (tptp.v3_struct_0 B)) (tptp.v1_pre_topc B) (tptp.v2_pre_topc B) (tptp.v1_tdlat_3 B) (tptp.v3_tdlat_3 B) (tptp.v4_tdlat_3 B) (tptp.v5_tdlat_3 B) (tptp.v5_tex_2 B A))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (= (tptp.v1_realset1 A) (exists ((B $$unsorted)) (and (tptp.m1_subset_1 B A) (= A (tptp.k6_domain_1 A B))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.v1_realset1 B)) (=> (tptp.r1_tarski A B) (= A B)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v1_realset1 A)) (forall ((B $$unsorted)) (=> (not (tptp.v1_xboole_0 (tptp.k3_xboole_0 A B))) (tptp.r1_tarski A B))))) true (forall ((A $$unsorted)) (=> (tptp.l1_struct_0 A) (forall ((B $$unsorted)) (=> (tptp.l1_struct_0 B) (=> (and (= (tptp.u1_struct_0 A) (tptp.u1_struct_0 B)) (tptp.v3_realset2 A)) (tptp.v3_realset2 B)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B A) (= (tptp.v1_tex_2 B A) (not (= B (tptp.k3_tarski A)))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 A))) (=> (tptp.m1_subset_1 B _let_1) (= (tptp.v1_tex_2 B _let_1) (not (= B A)))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B A) (not (and (tptp.v1_tex_2 (tptp.k6_domain_1 A B) (tptp.k1_zfmisc_1 A)) (tptp.v1_realset1 A))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (not (tptp.v1_realset1 A))) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B A) (tptp.v1_tex_2 (tptp.k6_domain_1 A B) (tptp.k1_zfmisc_1 A)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_struct_0 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 B _let_1) (not (and (tptp.v1_tex_2 (tptp.k1_struct_0 A B) (tptp.k1_zfmisc_1 _let_1)) (tptp.v3_realset2 A)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (not (tptp.v3_realset2 A)) (tptp.l1_struct_0 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 B _let_1) (tptp.v1_tex_2 (tptp.k1_struct_0 A B) (tptp.k1_zfmisc_1 _let_1))))))) true true (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (forall ((B $$unsorted)) (=> (tptp.l1_pre_topc B) (=> (and (= (tptp.g1_pre_topc (tptp.u1_struct_0 A) (tptp.u1_pre_topc A)) (tptp.g1_pre_topc (tptp.u1_struct_0 B) (tptp.u1_pre_topc B))) (tptp.v2_pre_topc A)) (tptp.v2_pre_topc B)))))) (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (forall ((B $$unsorted)) (=> (tptp.m1_pre_topc B A) (= (tptp.v2_tex_2 B A) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (=> (tptp.m1_subset_1 C _let_1) (=> (= C (tptp.u1_struct_0 B)) (tptp.v1_tex_2 C _let_1)))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (forall ((B $$unsorted)) (=> (tptp.m1_pre_topc B A) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (=> (tptp.m1_subset_1 C _let_1) (=> (= C (tptp.u1_struct_0 B)) (= (tptp.v1_tex_2 C _let_1) (tptp.v2_tex_2 B A)))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (forall ((B $$unsorted)) (=> (tptp.m1_pre_topc B A) (forall ((C $$unsorted)) (=> (tptp.m1_pre_topc C A) (=> (and (= (tptp.g1_pre_topc (tptp.u1_struct_0 B) (tptp.u1_pre_topc B)) (tptp.g1_pre_topc (tptp.u1_struct_0 C) (tptp.u1_pre_topc C))) (tptp.v2_tex_2 B A)) (tptp.v2_tex_2 C A)))))))) (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (forall ((B $$unsorted)) (=> (tptp.m1_pre_topc B A) (not (and (= (tptp.u1_struct_0 B) (tptp.u1_struct_0 A)) (tptp.v2_tex_2 B A))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v2_tex_2 B A)) (tptp.m1_pre_topc B A)) (= (tptp.g1_pre_topc (tptp.u1_struct_0 B) (tptp.u1_pre_topc B)) (tptp.g1_pre_topc (tptp.u1_struct_0 A) (tptp.u1_pre_topc A))))))) (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (forall ((B $$unsorted)) (=> (tptp.l1_pre_topc B) (=> (and (= (tptp.g1_pre_topc (tptp.u1_struct_0 A) (tptp.u1_pre_topc A)) (tptp.g1_pre_topc (tptp.u1_struct_0 B) (tptp.u1_pre_topc B))) (tptp.v1_tdlat_3 A)) (tptp.v1_tdlat_3 B)))))) (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (forall ((B $$unsorted)) (=> (tptp.l1_pre_topc B) (=> (and (= (tptp.g1_pre_topc (tptp.u1_struct_0 A) (tptp.u1_pre_topc A)) (tptp.g1_pre_topc (tptp.u1_struct_0 B) (tptp.u1_pre_topc B))) (tptp.v2_tdlat_3 A)) (tptp.v2_tdlat_3 B)))))) (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (forall ((B $$unsorted)) (=> (tptp.l1_pre_topc B) (=> (and (= (tptp.g1_pre_topc (tptp.u1_struct_0 A) (tptp.u1_pre_topc A)) (tptp.g1_pre_topc (tptp.u1_struct_0 B) (tptp.u1_pre_topc B))) (tptp.v3_tdlat_3 A)) (tptp.v3_tdlat_3 B)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.v1_pre_topc C) (tptp.m1_pre_topc C A)) (= (= C (tptp.k1_tex_2 A B)) (= (tptp.u1_struct_0 C) (tptp.k1_struct_0 A B))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 B _let_1) (= (tptp.v2_tex_2 (tptp.k1_tex_2 A B) A) (tptp.v1_tex_2 (tptp.k1_struct_0 A B) (tptp.k1_zfmisc_1 _let_1)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (not (and (tptp.v2_tex_2 (tptp.k1_tex_2 A B) A) (tptp.v3_realset2 A))))))) true (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_realset2 B) (tptp.m1_pre_topc B A)) (exists ((C $$unsorted)) (let ((_let_1 (tptp.k1_tex_2 A C))) (and (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (tptp.g1_pre_topc (tptp.u1_struct_0 B) (tptp.u1_pre_topc B)) (tptp.g1_pre_topc (tptp.u1_struct_0 _let_1) (tptp.u1_pre_topc _let_1)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k1_tex_2 A B))) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (=> (tptp.v2_pre_topc _let_1) (and (tptp.v1_tdlat_3 _let_1) (tptp.v2_tdlat_3 _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.v3_tex_2 B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (not (and (tptp.r1_tarski C B) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 _let_1)) (not (and (tptp.v3_pre_topc D A) (= (tptp.k5_subset_1 _let_1 B D) 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))) (= (tptp.v3_tex_2 B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (not (and (tptp.r1_tarski C B) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 _let_1)) (not (and (tptp.v4_pre_topc D A) (= (tptp.k5_subset_1 _let_1 B D) C))))))))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (forall ((B $$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)) (let ((_let_1 (tptp.u1_struct_0 B))) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 _let_1)) (=> (and (= (tptp.g1_pre_topc (tptp.u1_struct_0 A) (tptp.u1_pre_topc A)) (tptp.g1_pre_topc _let_1 (tptp.u1_pre_topc B))) (= C D) (tptp.v3_tex_2 C A)) (tptp.v3_tex_2 D B))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.m1_pre_topc B A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (= C (tptp.u1_struct_0 B)) (= (tptp.v3_tex_2 C A) (tptp.v1_tdlat_3 B))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 _let_1)) (=> (= B _let_1) (= (tptp.v3_tex_2 B A) (tptp.v1_tdlat_3 A)))))))) (forall ((A $$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.r1_tarski C B) (tptp.v3_tex_2 B A)) (tptp.v3_tex_2 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 $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 _let_1)) (=> (or (tptp.v3_tex_2 B A) (tptp.v3_tex_2 C A)) (tptp.v3_tex_2 (tptp.k5_subset_1 _let_1 B C) A))))))))) (forall ((A $$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)) (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)) (and (tptp.v3_pre_topc (tptp.k5_subset_1 _let_1 B C) A) (tptp.v3_pre_topc (tptp.k4_subset_1 _let_1 B C) 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_tex_2 B A) (tptp.v3_tex_2 C A)) (tptp.v3_tex_2 (tptp.k4_subset_1 _let_1 B 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 $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 _let_1)) (=> (and (tptp.v4_pre_topc B A) (tptp.v4_pre_topc C A)) (and (tptp.v4_pre_topc (tptp.k5_subset_1 _let_1 B C) A) (tptp.v4_pre_topc (tptp.k4_subset_1 _let_1 B C) A)))))))) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 _let_1)) (=> (and (tptp.v4_pre_topc B A) (tptp.v4_pre_topc C A) (tptp.v3_tex_2 B A) (tptp.v3_tex_2 C A)) (tptp.v3_tex_2 (tptp.k4_subset_1 _let_1 B C) A)))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (tptp.v3_tex_2 B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (not (and (tptp.r2_hidden C B) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 _let_1)) (not (and (tptp.v3_pre_topc D A) (= (tptp.k5_subset_1 _let_1 B D) (tptp.k1_tarski C)))))))))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (tptp.v3_tex_2 B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (not (and (tptp.r2_hidden C B) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 _let_1)) (not (and (tptp.v4_pre_topc D A) (= (tptp.k5_subset_1 _let_1 B D) (tptp.k1_tarski C)))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (not (and (tptp.v3_tex_2 B A) (forall ((C $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.v1_pre_topc C) (tptp.v1_tdlat_3 C) (tptp.m1_pre_topc C A)) (not (= B (tptp.u1_struct_0 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 (tptp.v1_xboole_0 B) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (tptp.v3_tex_2 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.u1_struct_0 A)) (tptp.v3_tex_2 (tptp.k1_struct_0 A 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))) (=> (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (not (and (tptp.r2_hidden C B) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 _let_1)) (not (and (tptp.v3_pre_topc D A) (= (tptp.k5_subset_1 _let_1 B D) (tptp.k1_struct_0 A C))))))))))) (tptp.v3_tex_2 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))) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 _let_1)) (=> (and (tptp.v3_pre_topc B A) (tptp.v3_pre_topc C A) (tptp.v3_tex_2 B A) (tptp.v3_tex_2 C A)) (tptp.v3_tex_2 (tptp.k4_subset_1 _let_1 B C) A))))))))) (forall ((A $$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)) (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.v3_tex_2 B A) (tptp.v3_tex_2 C A)) (tptp.v3_tex_2 (tptp.k4_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))) (=> (and (tptp.v1_tops_3 B A) (tptp.v3_tex_2 B 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.v3_tex_2 B A) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 _let_1)) (=> (tptp.r1_tarski C B) (= (tptp.k5_subset_1 _let_1 B (tptp.k6_pre_topc A C)) C)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (tptp.v3_tex_2 B A) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k1_struct_0 A C))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 C _let_2) (=> (tptp.r2_hidden C B) (= (tptp.k5_subset_1 _let_2 B (tptp.k6_pre_topc A _let_1)) _let_1))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.v1_tdlat_3 A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (tptp.v3_tex_2 B A))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.v2_tdlat_3 A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (= (tptp.v3_tex_2 B A) (tptp.v1_realset1 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.v4_tex_2 B A) (and (tptp.v3_tex_2 B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (and (tptp.v3_tex_2 C A) (tptp.r1_tarski B C)) (= B C)))))))))) (forall ((A $$unsorted)) (=> (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 $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 _let_1)) (=> (and (= (tptp.g1_pre_topc (tptp.u1_struct_0 A) (tptp.u1_pre_topc A)) (tptp.g1_pre_topc _let_1 (tptp.u1_pre_topc B))) (= C D) (tptp.v4_tex_2 C A)) (tptp.v4_tex_2 D B))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_xboole_0 B) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (not (tptp.v4_tex_2 B A)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (and (tptp.v3_pre_topc B A) (tptp.v4_tex_2 B A)) (tptp.v1_tops_1 B A)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_tops_1 B A) (tptp.v3_tex_2 B A)) (tptp.v4_tex_2 B A)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.v1_tdlat_3 A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (=> (tptp.m1_subset_1 B _let_1) (= (tptp.v4_tex_2 B A) (not (tptp.v1_tex_2 B _let_1)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.v2_tdlat_3 A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (= (tptp.v4_tex_2 B A) (tptp.v1_realset1 B)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_pre_topc B A) (= (tptp.v5_tex_2 B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (= C (tptp.u1_struct_0 B)) (tptp.v4_tex_2 C A))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_pre_topc B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (= C (tptp.u1_struct_0 B)) (= (tptp.v4_tex_2 C A) (tptp.v5_tex_2 B A))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.m1_pre_topc B A)) (= (tptp.v5_tex_2 B A) (and (tptp.v1_tdlat_3 B) (forall ((C $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.v1_tdlat_3 C) (tptp.m1_pre_topc C A)) (=> (tptp.m1_pre_topc B C) (= (tptp.g1_pre_topc (tptp.u1_struct_0 B) (tptp.u1_pre_topc B)) (tptp.g1_pre_topc (tptp.u1_struct_0 C) (tptp.u1_pre_topc 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_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (not (and (tptp.v4_tex_2 B A) (forall ((C $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.v1_pre_topc C) (tptp.m1_pre_topc C A)) (not (and (tptp.v5_tex_2 C A) (= B (tptp.u1_struct_0 C)))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.v3_tdlat_3 A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k6_pre_topc A (tptp.k1_struct_0 A C)))) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (=> (tptp.r2_hidden B _let_1) (= (tptp.k6_pre_topc A (tptp.k1_struct_0 A B)) _let_1))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.v3_tdlat_3 A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k6_pre_topc A (tptp.k1_struct_0 A C)))) (let ((_let_2 (tptp.k6_pre_topc A (tptp.k1_struct_0 A B)))) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (or (tptp.r1_xboole_0 _let_2 _let_1) (= _let_2 _let_1)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.v3_tdlat_3 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)) (not (and (tptp.r2_hidden C B) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 _let_1)) (not (and (tptp.v4_pre_topc D A) (= (tptp.k5_subset_1 _let_1 B D) (tptp.k1_struct_0 A C))))))))))) (tptp.v3_tex_2 B A)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.v3_tdlat_3 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.k1_struct_0 A C))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 C _let_2) (=> (tptp.r2_hidden C B) (= (tptp.k5_subset_1 _let_2 B (tptp.k6_pre_topc A _let_1)) _let_1)))))) (tptp.v3_tex_2 B A)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.v3_tdlat_3 A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (tptp.v3_tex_2 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)) (or (= C D) (tptp.r1_xboole_0 (tptp.k6_pre_topc A (tptp.k1_struct_0 A C)) (tptp.k6_pre_topc A (tptp.k1_struct_0 A D)))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.v3_tdlat_3 A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (tptp.v3_tex_2 B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (not (and (tptp.r2_hidden C (tptp.k6_pre_topc A B)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 D _let_1) (not (and (tptp.r2_hidden D B) (= (tptp.k5_subset_1 _let_1 B (tptp.k6_pre_topc A (tptp.k1_struct_0 A C))) (tptp.k1_struct_0 A D)))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.v3_tdlat_3 A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (=> (tptp.m1_subset_1 B _let_1) (not (and (or (tptp.v3_pre_topc B A) (tptp.v4_pre_topc B A)) (tptp.v4_tex_2 B A) (tptp.v1_tex_2 B _let_1)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.v3_tdlat_3 A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (tptp.v4_tex_2 B A) (tptp.v1_tops_1 B A)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.v3_tdlat_3 A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (tptp.v4_tex_2 B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (exists ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (and (tptp.m1_subset_1 D _let_1) (tptp.r2_hidden D B) (= (tptp.k5_subset_1 _let_1 B (tptp.k6_pre_topc A (tptp.k1_struct_0 A C))) (tptp.k1_struct_0 A D)))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.v3_tdlat_3 A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (not (and (tptp.v3_tex_2 B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (not (and (tptp.r1_tarski B C) (tptp.v4_tex_2 C A))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.v3_tdlat_3 A) (tptp.l1_pre_topc A)) (exists ((B $$unsorted)) (and (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (tptp.v4_tex_2 B A))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.v3_tdlat_3 A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v1_tdlat_3 B) (tptp.m1_pre_topc B A)) (exists ((C $$unsorted)) (and (not (tptp.v3_struct_0 C)) (tptp.v1_pre_topc C) (tptp.m1_pre_topc C A) (tptp.m1_pre_topc B C) (tptp.v5_tex_2 C A))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.v1_tdlat_3 A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (tptp.v2_pre_topc B) (tptp.l1_pre_topc B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.m2_relset_1 C _let_2 _let_1)) (tptp.v5_pre_topc C A B))))))))) (forall ((A $$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))))))) (tptp.v1_tdlat_3 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.v2_tdlat_3 B) (tptp.l1_pre_topc B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.m2_relset_1 C _let_2 _let_1)) (tptp.v5_pre_topc C A B))))))))) (forall ((A $$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 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.m2_relset_1 C _let_2 _let_1)) (tptp.v5_pre_topc C B A))))))) (tptp.v2_tdlat_3 A)))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.v1_tdlat_3 A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.m1_pre_topc B A)) (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.v1_tdlat_3 A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.m1_pre_topc B A)) (tptp.r1_borsuk_1 A B))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.v3_tdlat_3 A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v5_tex_2 B A) (tptp.m1_pre_topc B A)) (exists ((C $$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 $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.v3_tdlat_3 A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v5_tex_2 B A) (tptp.m1_pre_topc B A)) (tptp.r1_borsuk_1 A B))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.v3_tdlat_3 A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v5_tex_2 B A) (tptp.m1_pre_topc B A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.v5_pre_topc C A B) (tptp.m2_relset_1 C _let_2 _let_1)) (=> (tptp.v3_borsuk_1 C A B) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B))) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (= D E) (= (tptp.k5_pre_topc A B C D) (tptp.k6_pre_topc A E)))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.v3_tdlat_3 A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v5_tex_2 B A) (tptp.m1_pre_topc B A)) (forall ((C $$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.v5_pre_topc C A B) (tptp.m2_relset_1 C _let_2 _let_1)) (=> (tptp.v3_borsuk_1 C A B) (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 A)) (=> (= D E) (= (tptp.k5_pre_topc A B C (tptp.k1_struct_0 B D)) (tptp.k6_pre_topc A (tptp.k1_struct_0 A E))))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.v3_tdlat_3 A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v1_tdlat_3 B) (tptp.m1_pre_topc B A)) (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.v3_tdlat_3 A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v1_tdlat_3 B) (tptp.m1_pre_topc B A)) (tptp.r1_borsuk_1 A B))))) (=> (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A (tptp.k1_zfmisc_1 (tptp.u1_struct_0 tptp.f1_s1_tex_2))) (not (and (tptp.r2_hidden A tptp.f2_s1_tex_2) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 tptp.f1_s1_tex_2)) (not (tptp.p1_s1_tex_2 A B)))))))) (exists ((A $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 tptp.f1_s1_tex_2))) (and (tptp.v1_funct_1 A) (tptp.v1_funct_2 A tptp.f2_s1_tex_2 _let_1) (tptp.m2_relset_1 A tptp.f2_s1_tex_2 _let_1) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 tptp.f1_s1_tex_2))) (=> (tptp.r2_hidden B tptp.f2_s1_tex_2) (tptp.p1_s1_tex_2 B (tptp.k1_funct_1 A B))))))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k1_tex_2 A B))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_pre_topc A) (tptp.m1_subset_1 B (tptp.u1_struct_0 A))) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v1_pre_topc _let_1) (tptp.m1_pre_topc _let_1 A))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.v3_tdlat_3 A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (tptp.k6_pre_topc A B) (tptp.k3_tarski (tptp.a_2_0_tex_2 A B))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.v3_tdlat_3 A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 _let_1)) (=> (tptp.v4_tex_2 B A) (= (tptp.k3_tarski (tptp.a_2_0_tex_2 A B)) _let_1))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_pre_topc B) (tptp.v3_tdlat_3 B) (tptp.l1_pre_topc B) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B)))) (= (tptp.r2_hidden A (tptp.a_2_0_tex_2 B C)) (exists ((D $$unsorted)) (and (tptp.m1_subset_1 D (tptp.u1_struct_0 B)) (= A (tptp.k6_pre_topc B (tptp.k1_struct_0 B D))) (tptp.r2_hidden D C)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.v1_borsuk_1 B A))) (=> (tptp.m1_pre_topc B A) (=> (and _let_1 (tptp.v1_tex_3 B A)) (and (tptp.v2_pre_topc B) _let_1 (tptp.v1_tsep_1 B A) (not (tptp.v2_tex_2 B A))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.v2_tex_2 B A))) (=> (tptp.m1_pre_topc B A) (=> (and _let_1 (tptp.v1_tex_3 B A)) (and (tptp.v2_pre_topc B) (not (tptp.v1_borsuk_1 B A)) _let_1))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_pre_topc B A) (=> (and (tptp.v1_borsuk_1 B A) (tptp.v2_tex_2 B A)) (and (tptp.v2_pre_topc B) (not (tptp.v1_tex_3 B A)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (exists ((B $$unsorted)) (and (tptp.m1_pre_topc B A) (not (tptp.v3_struct_0 B)) (tptp.v1_pre_topc B) (tptp.v2_pre_topc B) (tptp.v1_tex_3 B A))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_pre_topc B A) (=> (tptp.v2_tex_3 B A) (and (tptp.v2_pre_topc B) (tptp.v1_tex_3 B A))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_pre_topc B A) (=> (not (tptp.v1_tex_3 B A)) (and (tptp.v2_pre_topc B) (not (tptp.v2_tex_3 B A)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_pre_topc B A) (=> (not (tptp.v2_tex_2 B A)) (and (tptp.v2_pre_topc B) (tptp.v2_tex_3 B A))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_pre_topc B A) (=> (not (tptp.v2_tex_3 B A)) (and (tptp.v2_pre_topc B) (tptp.v2_tex_2 B A))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (exists ((B $$unsorted)) (and (tptp.m1_pre_topc B A) (not (tptp.v3_struct_0 B)) (tptp.v1_pre_topc B) (tptp.v2_pre_topc B) (tptp.v1_tex_3 B A) (tptp.v2_tex_3 B A))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.v1_tex_3 B A))) (=> (tptp.m1_pre_topc B A) (=> (and (tptp.v1_tsep_1 B A) _let_1) (and (tptp.v2_pre_topc B) _let_1 (tptp.v2_tex_3 B A)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_pre_topc B A) (=> (and (tptp.v1_tex_3 B A) (not (tptp.v2_tex_3 B A))) (and (tptp.v2_pre_topc B) (not (tptp.v1_tsep_1 B A)) (tptp.v2_tex_2 B A))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (let ((_let_1 (not (tptp.v2_tex_3 B A)))) (=> (tptp.m1_pre_topc B A) (=> (and (tptp.v1_tsep_1 B A) _let_1) (and (tptp.v2_pre_topc B) (tptp.v2_tex_2 B A) (not (tptp.v1_tex_3 B A)) _let_1))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (exists ((B $$unsorted)) (and (tptp.m1_pre_topc B A) (not (tptp.v3_struct_0 B)) (tptp.v1_pre_topc B) (tptp.v2_pre_topc B) (tptp.v1_tsep_1 B A) (tptp.v1_tex_3 B A) (tptp.v2_tex_3 B A))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (let ((_let_1 (not (tptp.v3_struct_0 B)))) (=> (tptp.m1_pre_topc B A) (=> (and _let_1 (tptp.v1_tsep_1 B A)) (and _let_1 (tptp.v2_pre_topc B) (not (tptp.v3_tex_3 B A))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (let ((_let_1 (not (tptp.v3_struct_0 B)))) (=> (tptp.m1_pre_topc B A) (=> (and _let_1 (tptp.v3_tex_3 B A)) (and _let_1 (tptp.v2_pre_topc B) (not (tptp.v1_tsep_1 B A)) (tptp.v2_tex_2 B A)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_pre_topc B A) (=> (tptp.v2_tex_3 B A) (and (tptp.v2_pre_topc B) (not (tptp.v3_tex_3 B A)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_pre_topc B A) (=> (tptp.v3_tex_3 B A) (and (tptp.v2_pre_topc B) (tptp.v2_tex_2 B A) (not (tptp.v2_tex_3 B A)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_pre_topc B A) (=> (tptp.v4_tex_3 B A) (and (tptp.v2_pre_topc B) (tptp.v2_tex_2 B A) (not (tptp.v2_tex_3 B A)) (tptp.v3_tex_3 B A))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_pre_topc B A) (=> (not (tptp.v3_tex_3 B A)) (and (tptp.v2_pre_topc B) (not (tptp.v4_tex_3 B A)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_pre_topc B A) (=> (tptp.v4_tex_3 B A) (and (tptp.v2_pre_topc B) (tptp.v2_tex_2 B A) (not (tptp.v1_tex_3 B A)) (not (tptp.v2_tex_3 B A)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_pre_topc B A) (=> (tptp.v1_tex_3 B A) (and (tptp.v2_pre_topc B) (not (tptp.v4_tex_3 B A)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.v3_tex_3 B A))) (=> (tptp.m1_pre_topc B A) (=> (and (tptp.v1_borsuk_1 B A) _let_1) (and (tptp.v2_pre_topc B) (tptp.v2_tex_2 B A) (not (tptp.v1_tex_3 B A)) (not (tptp.v2_tex_3 B A)) _let_1 (tptp.v4_tex_3 B A)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_pre_topc B A) (=> (and (tptp.v3_tex_3 B A) (not (tptp.v4_tex_3 B A))) (and (tptp.v2_pre_topc B) (not (tptp.v1_borsuk_1 B A)) (tptp.v2_tex_2 B A))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (let ((_let_1 (not (tptp.v4_tex_3 B A)))) (=> (tptp.m1_pre_topc B A) (=> (and (tptp.v1_borsuk_1 B A) _let_1) (and (tptp.v2_pre_topc B) (not (tptp.v3_tex_3 B A)) _let_1))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.v1_tdlat_3 A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (let ((_let_1 (not (tptp.v3_struct_0 B)))) (=> (tptp.m1_pre_topc B A) (=> _let_1 (and _let_1 (tptp.v2_pre_topc B) (tptp.v1_borsuk_1 B A) (tptp.v1_tsep_1 B A) (tptp.v1_tdlat_3 B) (tptp.v3_tdlat_3 B) (tptp.v4_tdlat_3 B) (tptp.v5_tdlat_3 B) (not (tptp.v3_tex_3 B A)) (not (tptp.v4_tex_3 B A))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.v1_tdlat_3 A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.v2_tex_2 B A))) (=> (tptp.m1_pre_topc B A) (=> _let_1 (and (tptp.v2_pre_topc B) (tptp.v1_borsuk_1 B A) (tptp.v1_tsep_1 B A) (tptp.v1_tdlat_3 B) (tptp.v3_tdlat_3 B) _let_1 (not (tptp.v5_tex_2 B A)) (not (tptp.v1_tex_3 B A)) (not (tptp.v2_tex_3 B A))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.v1_tdlat_3 A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.v1_tex_3 B A))) (=> (tptp.m1_pre_topc B A) (=> _let_1 (and (tptp.v2_pre_topc B) (tptp.v1_borsuk_1 B A) (tptp.v1_tsep_1 B A) (tptp.v1_tdlat_3 B) (tptp.v3_tdlat_3 B) (not (tptp.v2_tex_2 B A)) (tptp.v5_tex_2 B A) _let_1 (tptp.v2_tex_3 B A) (not (tptp.v3_tex_3 B A)) (not (tptp.v4_tex_3 B A))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.v1_tdlat_3 A) (tptp.l1_pre_topc A)) (exists ((B $$unsorted)) (and (tptp.m1_pre_topc B A) (not (tptp.v3_struct_0 B)) (tptp.v1_pre_topc B) (tptp.v2_pre_topc B) (tptp.v1_borsuk_1 B A) (tptp.v1_tsep_1 B A) (tptp.v1_tdlat_3 B) (tptp.v3_tdlat_3 B) (tptp.v4_tdlat_3 B) (tptp.v5_tdlat_3 B) (not (tptp.v3_tex_3 B A)) (not (tptp.v4_tex_3 B A)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.v1_tdlat_3 A) (not (tptp.v3_realset2 A)) (tptp.l1_pre_topc A)) (exists ((B $$unsorted)) (and (tptp.m1_pre_topc B A) (tptp.v1_pre_topc B) (tptp.v2_pre_topc B) (tptp.v1_borsuk_1 B A) (tptp.v1_tsep_1 B A) (tptp.v1_tdlat_3 B) (tptp.v3_tdlat_3 B) (tptp.v2_tex_2 B A) (not (tptp.v5_tex_2 B A)) (not (tptp.v1_tex_3 B A)) (not (tptp.v2_tex_3 B A)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (not (tptp.v1_tdlat_3 A)) (tptp.l1_pre_topc A)) (exists ((B $$unsorted)) (and (tptp.m1_pre_topc B A) (not (tptp.v3_struct_0 B)) (tptp.v1_pre_topc B) (tptp.v2_pre_topc B) (not (tptp.v1_tsep_1 B A)) (tptp.v2_tex_2 B A) (not (tptp.v2_tex_3 B A)) (tptp.v3_tex_3 B A))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (not (tptp.v1_tdlat_3 A)) (tptp.l1_pre_topc A)) (exists ((B $$unsorted)) (and (tptp.m1_pre_topc B A) (not (tptp.v3_struct_0 B)) (tptp.v1_pre_topc B) (tptp.v2_pre_topc B) (not (tptp.v1_borsuk_1 B A)) (tptp.v2_tex_2 B A) (tptp.v1_tex_3 B A) (not (tptp.v4_tex_3 B A)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.v3_tdlat_3 A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (let ((_let_1 (not (tptp.v3_struct_0 B)))) (=> (tptp.m1_pre_topc B A) (=> _let_1 (and _let_1 (tptp.v2_pre_topc B) (tptp.v3_tdlat_3 B) (tptp.v4_tdlat_3 B) (tptp.v5_tdlat_3 B) (not (tptp.v4_tex_3 B A))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.v3_tdlat_3 A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.v2_tex_2 B A))) (=> (tptp.m1_pre_topc B A) (=> _let_1 (and (tptp.v2_pre_topc B) _let_1 (not (tptp.v2_tex_3 B A))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.v3_tdlat_3 A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.v2_tex_3 B A))) (=> (tptp.m1_pre_topc B A) (=> _let_1 (and (tptp.v2_pre_topc B) (tptp.v1_borsuk_1 B A) (tptp.v1_tsep_1 B A) (not (tptp.v2_tex_2 B A)) (tptp.v1_tex_3 B A) _let_1 (not (tptp.v3_tex_3 B A)) (not (tptp.v4_tex_3 B A))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.v3_tdlat_3 A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (let ((_let_1 (not (tptp.v3_struct_0 B)))) (=> (tptp.m1_pre_topc B A) (=> (and _let_1 (tptp.v3_tex_3 B A)) (and _let_1 (tptp.v2_pre_topc B) (not (tptp.v1_borsuk_1 B A)) (tptp.v3_tdlat_3 B) (tptp.v4_tdlat_3 B) (tptp.v5_tdlat_3 B) (tptp.v2_tex_2 B A)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.v3_tdlat_3 A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (let ((_let_1 (not (tptp.v3_struct_0 B)))) (=> (tptp.m1_pre_topc B A) (=> (and _let_1 (tptp.v1_borsuk_1 B A)) (and _let_1 (tptp.v2_pre_topc B) (tptp.v3_tdlat_3 B) (tptp.v4_tdlat_3 B) (tptp.v5_tdlat_3 B) (not (tptp.v3_tex_3 B A)) (not (tptp.v4_tex_3 B A))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.v3_tdlat_3 A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.v2_tex_2 B A))) (=> (tptp.m1_pre_topc B A) (=> (and _let_1 (tptp.v1_tex_3 B A)) (and (tptp.v2_pre_topc B) (not (tptp.v1_tsep_1 B A)) _let_1))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.v3_tdlat_3 A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.v1_tex_3 B A))) (let ((_let_2 (tptp.v1_tsep_1 B A))) (=> (tptp.m1_pre_topc B A) (=> (and _let_2 _let_1) (and (tptp.v2_pre_topc B) (tptp.v1_borsuk_1 B A) _let_2 (not (tptp.v2_tex_2 B A)) _let_1 (tptp.v2_tex_3 B A) (not (tptp.v3_tex_3 B A)) (not (tptp.v4_tex_3 B A)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.v3_tdlat_3 A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.v2_tex_2 B A))) (=> (tptp.m1_pre_topc B A) (=> (and (tptp.v1_tsep_1 B A) _let_1) (and (tptp.v2_pre_topc B) _let_1 (not (tptp.v1_tex_3 B A)) (not (tptp.v2_tex_3 B A))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.v3_tdlat_3 A) (tptp.l1_pre_topc A)) (exists ((B $$unsorted)) (and (tptp.m1_pre_topc B A) (not (tptp.v3_struct_0 B)) (tptp.v1_pre_topc B) (tptp.v2_pre_topc B) (tptp.v3_tdlat_3 B) (tptp.v4_tdlat_3 B) (tptp.v5_tdlat_3 B) (not (tptp.v4_tex_3 B A)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.v3_tdlat_3 A) (not (tptp.v3_realset2 A)) (tptp.l1_pre_topc A)) (exists ((B $$unsorted)) (and (tptp.m1_pre_topc B A) (tptp.v1_pre_topc B) (tptp.v2_pre_topc B) (tptp.v2_tex_2 B A) (not (tptp.v2_tex_3 B A)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (not (tptp.v3_tdlat_3 A)) (tptp.l1_pre_topc A)) (exists ((B $$unsorted)) (and (tptp.m1_pre_topc B A) (not (tptp.v3_struct_0 B)) (tptp.v1_pre_topc B) (tptp.v2_pre_topc B) (not (tptp.v1_tsep_1 B A)) (tptp.v2_tex_2 B A) (not (tptp.v1_tex_3 B A)) (not (tptp.v2_tex_3 B A)) (tptp.v3_tex_3 B A) (tptp.v4_tex_3 B A))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (not (tptp.v3_tdlat_3 A)) (tptp.l1_pre_topc A)) (exists ((B $$unsorted)) (and (tptp.m1_pre_topc B A) (not (tptp.v3_struct_0 B)) (tptp.v1_pre_topc B) (tptp.v2_pre_topc B) (not (tptp.v1_borsuk_1 B A)) (tptp.v2_tex_2 B A) (tptp.v1_tex_3 B A) (tptp.v2_tex_3 B A) (not (tptp.v3_tex_3 B A)) (not (tptp.v4_tex_3 B A)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (not (tptp.v3_tdlat_3 A)) (tptp.l1_pre_topc A)) (exists ((B $$unsorted)) (and (tptp.m1_pre_topc B A) (not (tptp.v3_struct_0 B)) (tptp.v1_pre_topc B) (tptp.v2_pre_topc B) (tptp.v1_borsuk_1 B A) (not (tptp.v1_tsep_1 B A)) (tptp.v2_tex_2 B A) (not (tptp.v1_tex_3 B A)) (not (tptp.v2_tex_3 B A)) (tptp.v3_tex_3 B A) (tptp.v4_tex_3 B A))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (not (tptp.v3_tdlat_3 A)) (tptp.l1_pre_topc A)) (exists ((B $$unsorted)) (and (tptp.m1_pre_topc B A) (not (tptp.v3_struct_0 B)) (tptp.v1_pre_topc B) (tptp.v2_pre_topc B) (not (tptp.v1_borsuk_1 B A)) (tptp.v1_tsep_1 B A) (tptp.v2_tex_2 B A) (tptp.v1_tex_3 B A) (tptp.v2_tex_3 B A) (not (tptp.v3_tex_3 B A)) (not (tptp.v4_tex_3 B A)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (=> (tptp.m1_subset_1 C _let_1) (=> (tptp.r2_tsep_2 A B C) (= (not (tptp.v1_xboole_0 B)) (tptp.v1_tex_2 C _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))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (tptp.r2_tsep_2 A B C) (= (tptp.v1_tops_1 B A) (tptp.v2_tops_1 C A))))))))) (forall ((A $$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.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (tptp.r2_tsep_2 A B C) (= (tptp.v2_tops_1 B A) (tptp.v1_tops_1 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 $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (tptp.r2_tsep_2 A B C) (= (tptp.v1_tops_3 B A) (tptp.v3_tops_1 C A))))))))) (forall ((A $$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.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (tptp.r2_tsep_2 A B C) (= (tptp.v3_tops_1 B A) (tptp.v1_tops_3 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)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.m1_pre_topc B A)) (forall ((C $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.m1_pre_topc C A)) (=> (tptp.r4_tsep_2 A B C) (and (tptp.v2_tex_2 B A) (tptp.v2_tex_2 C A))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (not (tptp.v3_realset2 A)) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.v1_tex_2 B _let_1) (tptp.m1_subset_1 B _let_1)) (exists ((C $$unsorted)) (and (not (tptp.v3_struct_0 C)) (tptp.v1_pre_topc C) (tptp.v2_tex_2 C A) (tptp.m1_pre_topc C A) (= B (tptp.u1_struct_0 C))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (not (tptp.v3_realset2 A)) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_tex_2 B A) (tptp.m1_pre_topc B A)) (exists ((C $$unsorted)) (and (not (tptp.v3_struct_0 C)) (tptp.v1_pre_topc C) (tptp.v2_tex_2 C A) (tptp.m1_pre_topc C A) (tptp.r4_tsep_2 A B C))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_pre_topc B A) (= (tptp.v1_tex_3 B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (= C (tptp.u1_struct_0 B)) (tptp.v1_tops_1 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_pre_topc B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (= C (tptp.u1_struct_0 B)) (= (tptp.v1_tex_3 B A) (tptp.v1_tops_1 C A))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (not (and (tptp.v1_tops_1 B A) (forall ((C $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.v1_pre_topc C) (tptp.v1_tex_3 C A) (tptp.m1_pre_topc C A)) (not (= B (tptp.u1_struct_0 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_tex_3 B A) (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.v1_tops_1 D B) (tptp.v1_tops_1 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)) (=> (and (tptp.v1_tex_3 B A) (tptp.m1_pre_topc B A)) (forall ((C $$unsorted)) (=> (tptp.m1_pre_topc C A) (=> (tptp.m1_pre_topc B C) (tptp.v1_tex_3 C A)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v1_tex_3 B A) (tptp.m1_pre_topc B A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.m1_pre_topc B C))) (=> (and (not (tptp.v3_struct_0 C)) (tptp.m1_pre_topc C A)) (=> _let_1 (and (tptp.v1_tex_3 B C) _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.v1_tex_3 B A) (tptp.m1_pre_topc B A)) (forall ((C $$unsorted)) (let ((_let_1 (not (tptp.v3_struct_0 C)))) (=> (and _let_1 (tptp.v1_tex_3 C B) (tptp.m1_pre_topc C B)) (and _let_1 (tptp.v1_tex_3 C A) (tptp.m1_pre_topc C A))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_pre_topc B) (tptp.l1_pre_topc B)) (forall ((C $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.v2_pre_topc C) (tptp.l1_pre_topc C)) (=> (= C (tptp.g1_pre_topc (tptp.u1_struct_0 B) (tptp.u1_pre_topc B))) (= (and (tptp.v1_tex_3 B A) (tptp.m1_pre_topc B A)) (and (tptp.v1_tex_3 C A) (tptp.m1_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_pre_topc B A) (= (tptp.v2_tex_3 B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (= C (tptp.u1_struct_0 B)) (tptp.v1_tops_3 C A))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_pre_topc B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (= C (tptp.u1_struct_0 B)) (= (tptp.v2_tex_3 B A) (tptp.v1_tops_3 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)) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (not (and (tptp.v1_tops_3 B A) (forall ((C $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.v1_pre_topc C) (tptp.v2_tex_3 C A) (tptp.m1_pre_topc C A)) (not (= B (tptp.u1_struct_0 C))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_tex_3 B A) (tptp.m1_pre_topc B A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B))) (=> (= C D) (= (tptp.v1_tops_3 D B) (tptp.v1_tops_3 C A))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (tptp.v2_tex_3 B A) (tptp.m1_pre_topc B A)) (forall ((C $$unsorted)) (=> (tptp.m1_pre_topc C A) (=> (tptp.m1_pre_topc B C) (tptp.v2_tex_3 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)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_tex_3 B A) (tptp.m1_pre_topc B A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.m1_pre_topc B C))) (=> (and (not (tptp.v3_struct_0 C)) (tptp.m1_pre_topc C A)) (=> _let_1 (and (tptp.v2_tex_3 B C) _let_1))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_tex_3 B A) (tptp.m1_pre_topc B A)) (forall ((C $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.v2_tex_3 C B) (tptp.m1_pre_topc C B)) (and (tptp.v2_tex_3 C A) (tptp.m1_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)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_pre_topc B) (tptp.l1_pre_topc B)) (forall ((C $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.v2_pre_topc C) (tptp.l1_pre_topc C)) (=> (= C (tptp.g1_pre_topc (tptp.u1_struct_0 B) (tptp.u1_pre_topc B))) (= (and (tptp.v2_tex_3 B A) (tptp.m1_pre_topc B A)) (and (tptp.v2_tex_3 C A) (tptp.m1_pre_topc C A)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (not (and (tptp.v1_tops_1 B A) (tptp.v3_pre_topc B A) (forall ((C $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.v1_pre_topc C) (tptp.v1_tsep_1 C A) (tptp.v1_tex_3 C A) (tptp.m1_pre_topc C A)) (not (= B (tptp.u1_struct_0 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_pre_topc B A) (= (tptp.v2_tex_3 B A) (exists ((C $$unsorted)) (and (tptp.v1_pre_topc C) (tptp.v1_tsep_1 C A) (tptp.v1_tex_3 C A) (tptp.m1_pre_topc C A) (tptp.m1_pre_topc C B)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.m1_pre_topc B A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k1_tsep_1 A B C))) (=> (and (not (tptp.v3_struct_0 C)) (tptp.m1_pre_topc C A)) (=> (or (tptp.v1_tex_3 B A) (tptp.v1_tex_3 C A)) (and (tptp.v1_tex_3 _let_1 A) (tptp.m1_pre_topc _let_1 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.m1_pre_topc B A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k1_tsep_1 A B C))) (=> (and (not (tptp.v3_struct_0 C)) (tptp.m1_pre_topc C A)) (=> (or (tptp.v2_tex_3 B A) (tptp.v2_tex_3 C A)) (and (tptp.v2_tex_3 _let_1 A) (tptp.m1_pre_topc _let_1 A)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.m1_pre_topc B A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k2_tsep_1 A B C))) (=> (and (not (tptp.v3_struct_0 C)) (tptp.m1_pre_topc C A)) (=> (and (tptp.v2_tex_3 B A) (tptp.v2_tex_3 C A)) (and (tptp.v2_tex_3 _let_1 A) (tptp.m1_pre_topc _let_1 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.m1_pre_topc B A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k2_tsep_1 A B C))) (=> (and (not (tptp.v3_struct_0 C)) (tptp.m1_pre_topc C A)) (=> (or (and (tptp.v2_tex_3 B A) (tptp.v1_tex_3 C A)) (and (tptp.v1_tex_3 B A) (tptp.v2_tex_3 C A))) (and (tptp.v1_tex_3 _let_1 A) (tptp.m1_pre_topc _let_1 A)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_pre_topc B A) (= (tptp.v3_tex_3 B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (= C (tptp.u1_struct_0 B)) (tptp.v2_tops_1 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_pre_topc B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (= C (tptp.u1_struct_0 B)) (= (tptp.v3_tex_3 B A) (tptp.v2_tops_1 C A))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (not (and (tptp.v2_tops_1 B A) (forall ((C $$unsorted)) (=> (and (tptp.v1_pre_topc C) (tptp.m1_pre_topc C A)) (not (and (tptp.v3_tex_3 C A) (= B (tptp.u1_struct_0 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_pre_topc B A) (forall ((C $$unsorted)) (=> (tptp.m1_pre_topc C A) (=> (tptp.r3_tsep_2 A B C) (= (tptp.v1_tex_3 B A) (tptp.v3_tex_3 C A))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.m1_pre_topc B A)) (forall ((C $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.m1_pre_topc C A)) (=> (tptp.r4_tsep_2 A B C) (= (tptp.v3_tex_3 B A) (tptp.v1_tex_3 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_pre_topc B A) (=> (tptp.v3_tex_3 B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (tptp.r1_tarski C (tptp.u1_struct_0 B)) (tptp.v2_tops_1 C A))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_pre_topc B A) (forall ((C $$unsorted)) (=> (tptp.m1_pre_topc C A) (=> (and (tptp.v3_tex_3 B A) (tptp.m1_pre_topc C B)) (tptp.v3_tex_3 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_pre_topc B A) (= (tptp.v4_tex_3 B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (= C (tptp.u1_struct_0 B)) (tptp.v3_tops_1 C A))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_pre_topc B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (= C (tptp.u1_struct_0 B)) (= (tptp.v4_tex_3 B A) (tptp.v3_tops_1 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)) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (not (and (tptp.v3_tops_1 B A) (forall ((C $$unsorted)) (=> (and (tptp.v1_pre_topc C) (tptp.m1_pre_topc C A)) (not (and (tptp.v4_tex_3 C A) (= B (tptp.u1_struct_0 C)))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_pre_topc B A) (forall ((C $$unsorted)) (=> (tptp.m1_pre_topc C A) (=> (tptp.r3_tsep_2 A B C) (= (tptp.v2_tex_3 B A) (tptp.v4_tex_3 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)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.m1_pre_topc B A)) (forall ((C $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.m1_pre_topc C A)) (=> (tptp.r4_tsep_2 A B C) (= (tptp.v4_tex_3 B A) (tptp.v2_tex_3 C A))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_pre_topc B A) (=> (tptp.v4_tex_3 B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (tptp.r1_tarski C (tptp.u1_struct_0 B)) (tptp.v3_tops_1 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_pre_topc B A) (forall ((C $$unsorted)) (=> (tptp.m1_pre_topc C A) (=> (and (tptp.v4_tex_3 B A) (tptp.m1_pre_topc C B)) (tptp.v4_tex_3 C A)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (not (and (tptp.v2_tops_1 B A) (tptp.v4_pre_topc B A) (forall ((C $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.v1_pre_topc C) (tptp.v1_borsuk_1 C A) (tptp.m1_pre_topc C A)) (not (and (tptp.v3_tex_3 C A) (= B (tptp.u1_struct_0 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 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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.m1_pre_topc B A)) (forall ((C $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.m1_pre_topc C A)) (=> (or (and (tptp.v4_tex_3 B A) (tptp.v3_tex_3 C A)) (and (tptp.v3_tex_3 B A) (tptp.v4_tex_3 C A))) (tptp.v3_tex_3 (tptp.k1_tsep_1 A B C) A)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.m1_pre_topc B A)) (forall ((C $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.m1_pre_topc C A)) (not (and (or (tptp.v4_tex_3 B A) (tptp.v4_tex_3 C A)) (not (tptp.r1_tsep_1 A B C)) (not (tptp.v4_tex_3 (tptp.k2_tsep_1 A 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_pre_topc B A) (not (tptp.v3_tex_3 B A)))) (tptp.v1_tdlat_3 A)))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (not (tptp.v3_realset2 A)) (tptp.l1_pre_topc A)) (=> (forall ((B $$unsorted)) (=> (and (tptp.v2_tex_2 B A) (tptp.m1_pre_topc B A)) (not (tptp.v1_tex_3 B A)))) (tptp.v1_tdlat_3 A)))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (not (and (exists ((B $$unsorted)) (and (not (tptp.v3_struct_0 B)) (tptp.m1_pre_topc B A) (tptp.v3_tex_3 B A))) (tptp.v1_tdlat_3 A))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (not (and (exists ((B $$unsorted)) (and (not (tptp.v3_struct_0 B)) (tptp.m1_pre_topc B A) (tptp.v1_tex_3 B A) (tptp.v2_tex_2 B A))) (tptp.v1_tdlat_3 A))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (not (tptp.v1_tdlat_3 A)) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (not (and (tptp.v2_tops_1 B A) (forall ((C $$unsorted)) (=> (and (tptp.v1_pre_topc C) (tptp.v3_tex_3 C A) (tptp.m1_pre_topc C A)) (not (= B (tptp.u1_struct_0 C))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (not (tptp.v1_tdlat_3 A)) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.v1_tex_2 B _let_1) (tptp.m1_subset_1 B _let_1)) (not (and (tptp.v1_tops_1 B A) (forall ((C $$unsorted)) (=> (and (tptp.v1_pre_topc C) (tptp.v2_tex_2 C A) (tptp.v1_tex_3 C A) (tptp.m1_pre_topc C A)) (not (= B (tptp.u1_struct_0 C)))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (not (tptp.v1_tdlat_3 A)) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_tex_3 B A) (tptp.m1_pre_topc B A)) (exists ((C $$unsorted)) (and (not (tptp.v3_struct_0 C)) (tptp.v1_pre_topc C) (tptp.v2_tex_2 C A) (tptp.v1_tex_3 C A) (tptp.m1_pre_topc C A) (tptp.r4_tsep_2 A B C))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (not (tptp.v1_tdlat_3 A)) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_tex_2 B A) (tptp.v1_tex_3 B A) (tptp.m1_pre_topc B A)) (exists ((C $$unsorted)) (and (not (tptp.v3_struct_0 C)) (tptp.v1_pre_topc C) (tptp.v3_tex_3 C A) (tptp.m1_pre_topc C A) (tptp.r4_tsep_2 A B C))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (not (tptp.v1_tdlat_3 A)) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_pre_topc B) (tptp.l1_pre_topc B)) (forall ((C $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.v2_pre_topc C) (tptp.l1_pre_topc C)) (=> (= C (tptp.g1_pre_topc (tptp.u1_struct_0 B) (tptp.u1_pre_topc B))) (= (and (tptp.v3_tex_3 B A) (tptp.m1_pre_topc B A)) (and (tptp.v3_tex_3 C A) (tptp.m1_pre_topc C A)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (=> (forall ((B $$unsorted)) (=> (tptp.m1_pre_topc B A) (not (tptp.v4_tex_3 B A)))) (tptp.v3_tdlat_3 A)))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (not (tptp.v3_realset2 A)) (tptp.l1_pre_topc A)) (=> (forall ((B $$unsorted)) (=> (and (tptp.v2_tex_2 B A) (tptp.m1_pre_topc B A)) (not (tptp.v2_tex_3 B A)))) (tptp.v3_tdlat_3 A)))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (not (and (exists ((B $$unsorted)) (and (not (tptp.v3_struct_0 B)) (tptp.m1_pre_topc B A) (tptp.v4_tex_3 B A))) (tptp.v3_tdlat_3 A))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (not (and (exists ((B $$unsorted)) (and (not (tptp.v3_struct_0 B)) (tptp.m1_pre_topc B A) (tptp.v3_tex_3 B A) (tptp.v1_borsuk_1 B A))) (tptp.v3_tdlat_3 A))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (not (and (exists ((B $$unsorted)) (and (not (tptp.v3_struct_0 B)) (tptp.m1_pre_topc B A) (tptp.v2_tex_3 B A) (tptp.v2_tex_2 B A))) (tptp.v3_tdlat_3 A))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (not (and (exists ((B $$unsorted)) (and (not (tptp.v3_struct_0 B)) (tptp.m1_pre_topc B A) (tptp.v1_tex_3 B A) (tptp.v1_tsep_1 B A) (tptp.v2_tex_2 B A))) (tptp.v3_tdlat_3 A))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (not (tptp.v3_tdlat_3 A)) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (not (and (tptp.v3_tops_1 B A) (forall ((C $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.v1_pre_topc C) (tptp.v4_tex_3 C A) (tptp.m1_pre_topc C A)) (not (= B (tptp.u1_struct_0 C))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (not (tptp.v3_tdlat_3 A)) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.v1_tex_2 B _let_1) (tptp.m1_subset_1 B _let_1)) (not (and (tptp.v1_tops_3 B A) (forall ((C $$unsorted)) (=> (and (tptp.v1_pre_topc C) (tptp.v2_tex_2 C A) (tptp.v2_tex_3 C A) (tptp.m1_pre_topc C A)) (not (= B (tptp.u1_struct_0 C)))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (not (tptp.v3_tdlat_3 A)) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v4_tex_3 B A) (tptp.m1_pre_topc B A)) (exists ((C $$unsorted)) (and (not (tptp.v3_struct_0 C)) (tptp.v1_pre_topc C) (tptp.v2_tex_2 C A) (tptp.v2_tex_3 C A) (tptp.m1_pre_topc C A) (tptp.r4_tsep_2 A B C))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (not (tptp.v3_tdlat_3 A)) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_tex_2 B A) (tptp.v2_tex_3 B A) (tptp.m1_pre_topc B A)) (exists ((C $$unsorted)) (and (not (tptp.v3_struct_0 C)) (tptp.v1_pre_topc C) (tptp.v4_tex_3 C A) (tptp.m1_pre_topc C A) (tptp.r4_tsep_2 A B C))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (not (tptp.v3_tdlat_3 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)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.v2_pre_topc C) (tptp.l1_pre_topc C)) (=> (= C (tptp.g1_pre_topc (tptp.u1_struct_0 B) (tptp.u1_pre_topc B))) (= (and (tptp.v4_tex_3 B A) (tptp.m1_pre_topc B A)) (and (tptp.v4_tex_3 C A) (tptp.m1_pre_topc C A)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (not (tptp.v3_tdlat_3 A)) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (not (and (tptp.v2_tops_1 B A) (tptp.v4_pre_topc B A) (forall ((C $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.v1_pre_topc C) (tptp.v1_borsuk_1 C A) (tptp.v3_tex_3 C A) (tptp.m1_pre_topc C A)) (not (= B (tptp.u1_struct_0 C))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (not (tptp.v3_tdlat_3 A)) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.v1_tex_2 B _let_1) (tptp.m1_subset_1 B _let_1)) (not (and (tptp.v1_tops_1 B A) (tptp.v3_pre_topc B A) (forall ((C $$unsorted)) (=> (and (tptp.v1_pre_topc C) (tptp.v1_tsep_1 C A) (tptp.v2_tex_2 C A) (tptp.v1_tex_3 C A) (tptp.m1_pre_topc C A)) (not (= B (tptp.u1_struct_0 C)))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (not (tptp.v3_tdlat_3 A)) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v1_borsuk_1 B A) (tptp.v3_tex_3 B A) (tptp.m1_pre_topc B A)) (exists ((C $$unsorted)) (and (not (tptp.v3_struct_0 C)) (tptp.v1_pre_topc C) (tptp.v1_tsep_1 C A) (tptp.v2_tex_2 C A) (tptp.v1_tex_3 C A) (tptp.m1_pre_topc C A) (tptp.r4_tsep_2 A B C))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (not (tptp.v3_tdlat_3 A)) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v1_tsep_1 B A) (tptp.v2_tex_2 B A) (tptp.v1_tex_3 B A) (tptp.m1_pre_topc B A)) (exists ((C $$unsorted)) (and (not (tptp.v3_struct_0 C)) (tptp.v1_pre_topc C) (tptp.v1_borsuk_1 C A) (tptp.v3_tex_3 C A) (tptp.m1_pre_topc C A) (tptp.r4_tsep_2 A B C))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (not (tptp.v3_tdlat_3 A)) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.m1_pre_topc B A)) (= (tptp.v4_tex_3 B A) (exists ((C $$unsorted)) (and (not (tptp.v3_struct_0 C)) (tptp.v1_pre_topc C) (tptp.v1_borsuk_1 C A) (tptp.v3_tex_3 C A) (tptp.m1_pre_topc C A) (tptp.m1_pre_topc B C)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (not (tptp.v3_tdlat_3 A)) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v4_tex_3 B A) (tptp.m1_pre_topc B A)) (not (and (not (and (tptp.v3_tex_3 B A) (tptp.v1_borsuk_1 B A))) (forall ((C $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.v1_pre_topc C) (tptp.v2_tex_2 C A) (tptp.v2_tex_3 C A) (tptp.m1_pre_topc C A)) (forall ((D $$unsorted)) (=> (and (not (tptp.v3_struct_0 D)) (tptp.v1_pre_topc D) (tptp.v1_borsuk_1 D A) (tptp.v3_tex_3 D A) (tptp.m1_pre_topc D A)) (not (and (= (tptp.k2_tsep_1 A C D) (tptp.g1_pre_topc (tptp.u1_struct_0 B) (tptp.u1_pre_topc B))) (= (tptp.k1_tsep_1 A C D) (tptp.g1_pre_topc (tptp.u1_struct_0 A) (tptp.u1_pre_topc A))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (not (tptp.v3_tdlat_3 A)) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_tex_3 B A) (tptp.m1_pre_topc B A)) (not (and (not (and (tptp.v1_tex_3 B A) (tptp.v1_tsep_1 B A))) (forall ((C $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.v1_pre_topc C) (tptp.v1_tsep_1 C A) (tptp.v2_tex_2 C A) (tptp.v1_tex_3 C A) (tptp.m1_pre_topc C A)) (forall ((D $$unsorted)) (=> (and (not (tptp.v3_struct_0 D)) (tptp.v1_pre_topc D) (tptp.v4_tex_3 D A) (tptp.m1_pre_topc D A)) (not (and (tptp.r1_tsep_1 A C D) (= (tptp.k1_tsep_1 A C D) (tptp.g1_pre_topc (tptp.u1_struct_0 B) (tptp.u1_pre_topc B))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (not (tptp.v3_tdlat_3 A)) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v4_tex_3 B A) (tptp.m1_pre_topc B A)) (exists ((C $$unsorted)) (and (not (tptp.v3_struct_0 C)) (tptp.v1_pre_topc C) (tptp.v1_tsep_1 C A) (tptp.v2_tex_2 C A) (tptp.v1_tex_3 C A) (tptp.m1_pre_topc C A) (exists ((D $$unsorted)) (and (not (tptp.v3_struct_0 D)) (tptp.v1_pre_topc D) (tptp.v1_borsuk_1 D A) (tptp.v3_tex_3 D A) (tptp.m1_pre_topc D A) (tptp.r4_tsep_2 A C D) (tptp.m1_pre_topc B D))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (not (tptp.v3_tdlat_3 A)) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (tptp.v2_tex_2 B A) (tptp.v2_tex_3 B A) (tptp.m1_pre_topc B A)) (exists ((C $$unsorted)) (and (tptp.v1_pre_topc C) (tptp.v1_tsep_1 C A) (tptp.v2_tex_2 C A) (tptp.v1_tex_3 C A) (tptp.m1_pre_topc C A) (exists ((D $$unsorted)) (and (tptp.v1_pre_topc D) (tptp.v1_borsuk_1 D A) (tptp.v3_tex_3 D A) (tptp.m1_pre_topc D A) (tptp.r3_tsep_2 A C D) (tptp.m1_pre_topc C B))))))))) (exists ((A $$unsorted)) (and (tptp.l1_msualg_1 A) (tptp.v1_msualg_1 A))) (exists ((A $$unsorted)) (and (tptp.l1_msualg_1 A) (not (tptp.v3_struct_0 A)) (tptp.v1_msualg_1 A) (tptp.v2_msualg_1 A))) (exists ((A $$unsorted)) (and (tptp.l1_msualg_1 A) (not (tptp.v3_struct_0 A)) (tptp.v1_msualg_1 A) (not (tptp.v2_msualg_1 A)))) (forall ((A $$unsorted)) (=> (tptp.l1_struct_0 A) (exists ((B $$unsorted)) (and (tptp.l2_msualg_1 B A) (tptp.v3_msualg_1 B A))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_msualg_1 A)) (exists ((B $$unsorted)) (and (tptp.l3_msualg_1 B A) (tptp.v4_msualg_1 B A))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_msualg_1 A)) (exists ((B $$unsorted)) (and (tptp.l3_msualg_1 B A) (tptp.v4_msualg_1 B A) (tptp.v5_msualg_1 B A))))) (forall ((A $$unsorted)) (=> (tptp.l1_struct_0 A) (exists ((B $$unsorted)) (and (tptp.l2_msualg_1 B A) (tptp.v3_msualg_1 B A) (tptp.v5_msualg_1 B A))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.u4_msualg_1 A B))) (=> (and (tptp.l1_struct_0 A) (tptp.v5_msualg_1 B A) (tptp.l2_msualg_1 B A)) (and (tptp.v1_relat_1 _let_1) (tptp.v2_relat_1 _let_1) (tptp.v1_funct_1 _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_msualg_1 A) (tptp.v5_msualg_1 B A) (tptp.l3_msualg_1 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k2_relat_1 (tptp.u4_msualg_1 A B))) (not (tptp.v1_xboole_0 C)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_msualg_1 A) (tptp.v5_msualg_1 B A) (tptp.l3_msualg_1 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k2_relat_1 (tptp.k6_pboole (tptp.u1_struct_0 A) (tptp.u4_msualg_1 A B)))) (not (tptp.v1_xboole_0 C)))))) (exists ((A $$unsorted)) (and (tptp.l1_msualg_1 A) (not (tptp.v3_struct_0 A)) (tptp.v3_realset2 A) (tptp.v1_msualg_1 A) (not (tptp.v2_msualg_1 A)) (tptp.v6_msualg_1 A))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k7_msualg_1 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v6_unialg_1 A) (tptp.v7_unialg_1 A) (tptp.v8_unialg_1 A) (tptp.l1_unialg_1 A)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v3_realset2 _let_1) (tptp.v1_msualg_1 _let_1) (not (tptp.v2_msualg_1 _let_1)) (tptp.v6_msualg_1 _let_1))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k7_msualg_1 A))) (let ((_let_2 (tptp.k10_msualg_1 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v6_unialg_1 A) (tptp.v7_unialg_1 A) (tptp.v8_unialg_1 A) (tptp.l1_unialg_1 A)) (and (tptp.v4_msualg_1 _let_2 _let_1) (tptp.v5_msualg_1 _let_2 _let_1)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_realset2 A) (tptp.l1_msualg_1 A) (tptp.v5_msualg_1 B A) (tptp.l3_msualg_1 B A)) (not (tptp.v1_xboole_0 (tptp.k11_msualg_1 A B))))) true true true true (forall ((A $$unsorted)) (=> (tptp.l1_msualg_1 A) (= (tptp.v2_msualg_1 A) (= (tptp.u1_msualg_1 A) tptp.k1_xboole_0)))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (not (tptp.v2_msualg_1 A)) (tptp.l1_msualg_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_msualg_1 A)) (= (tptp.k1_msualg_1 A B) (tptp.k1_funct_1 (tptp.u2_msualg_1 A) B)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (not (tptp.v2_msualg_1 A)) (tptp.l1_msualg_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_msualg_1 A)) (= (tptp.k2_msualg_1 A B) (tptp.k1_funct_1 (tptp.u3_msualg_1 A) B)))))) (forall ((A $$unsorted)) (=> (tptp.l1_struct_0 A) (forall ((B $$unsorted)) (=> (tptp.l2_msualg_1 B A) (= (tptp.v5_msualg_1 B A) (tptp.v2_relat_1 (tptp.u4_msualg_1 A B))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (not (tptp.v2_msualg_1 A)) (tptp.l1_msualg_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_msualg_1 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.l3_msualg_1 C A) (= (tptp.k3_msualg_1 A B C) (tptp.k1_funct_1 (tptp.k7_pboole (tptp.u1_msualg_1 A) (tptp.k3_finseq_2 _let_1) (tptp.u2_msualg_1 A) (tptp.k6_pboole _let_1 (tptp.u4_msualg_1 A C))) B))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (not (tptp.v2_msualg_1 A)) (tptp.l1_msualg_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_msualg_1 A)) (forall ((C $$unsorted)) (=> (tptp.l3_msualg_1 C A) (= (tptp.k4_msualg_1 A B C) (tptp.k1_funct_1 (tptp.k7_pboole (tptp.u1_msualg_1 A) (tptp.u1_struct_0 A) (tptp.u3_msualg_1 A) (tptp.u4_msualg_1 A C)) B)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (not (tptp.v2_msualg_1 A)) (tptp.l1_msualg_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_msualg_1 A)) (forall ((C $$unsorted)) (=> (tptp.l3_msualg_1 C A) (= (tptp.k5_msualg_1 A B C) (tptp.k1_funct_1 (tptp.u5_msualg_1 A C) B)))))))) true true true true true (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (not (tptp.v2_msualg_1 A)) (tptp.l1_msualg_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_msualg_1 A)) (forall ((C $$unsorted)) (=> (and (tptp.v5_msualg_1 C A) (tptp.l3_msualg_1 C A)) (not (tptp.v1_xboole_0 (tptp.k5_msualg_1 A B C))))))))) (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.m2_relset_1 D A B)) (forall ((E $$unsorted)) (let ((_let_1 (tptp.k1_relat_1 D))) (let ((_let_2 (tptp.k1_partfun1 A B B C D E))) (=> (and (tptp.v1_funct_1 E) (tptp.v1_funct_2 E B C) (tptp.m2_relset_1 E B C)) (and (tptp.v1_funct_1 _let_2) (tptp.v1_funct_2 _let_2 _let_1 C) (tptp.m2_relset_1 _let_2 _let_1 C)))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_funct_1 B) (not (tptp.v1_xboole_0 B)) (tptp.v1_unialg_1 B A) (tptp.v2_unialg_1 B A) (tptp.m2_relset_1 B (tptp.k3_finseq_2 A) A)) (= (tptp.k1_relat_1 B) (tptp.k1_funct_2 (tptp.k2_finseq_1 (tptp.k2_unialg_1 A B)) A)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v6_unialg_1 A) (tptp.v7_unialg_1 A) (tptp.v8_unialg_1 A) (tptp.l1_unialg_1 A)) (not (tptp.v1_xboole_0 (tptp.k3_unialg_1 A))))) (forall ((A $$unsorted)) (=> (tptp.l1_msualg_1 A) (= (tptp.v6_msualg_1 A) (exists ((B $$unsorted)) (and (tptp.m2_subset_1 B tptp.k1_numbers tptp.k5_numbers) (= (tptp.u1_msualg_1 A) (tptp.k2_finseq_1 B))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_msualg_1 A)) (=> (tptp.v3_realset2 A) (forall ((B $$unsorted)) (=> (tptp.l3_msualg_1 B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k2_relat_1 (tptp.u4_msualg_1 A B))) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k2_relat_1 (tptp.u4_msualg_1 A B))) (= C D)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v6_unialg_1 A) (tptp.v7_unialg_1 A) (tptp.v8_unialg_1 A) (tptp.l1_unialg_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k6_msualg_1 A))) (let ((_let_2 (tptp.k4_finseq_1 _let_1))) (let ((_let_3 (tptp.k1_tarski tptp.np__0))) (=> (and (tptp.v3_realset2 B) (tptp.v1_msualg_1 B) (not (tptp.v2_msualg_1 B)) (tptp.v6_msualg_1 B) (tptp.l1_msualg_1 B)) (= (= B (tptp.k7_msualg_1 A)) (and (= (tptp.u1_struct_0 B) _let_3) (= (tptp.u1_msualg_1 B) _let_2) (= (tptp.u2_msualg_1 B) (tptp.k1_partfun1 tptp.k5_numbers tptp.k5_numbers tptp.k5_numbers (tptp.k3_finseq_2 _let_3) _let_1 (tptp.k9_pboole tptp.np__0))) (= (tptp.u3_msualg_1 B) (tptp.k10_pboole _let_2 tptp.np__0))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v6_unialg_1 A) (tptp.v7_unialg_1 A) (tptp.v8_unialg_1 A) (tptp.l1_unialg_1 A)) (= (tptp.k8_msualg_1 A) (tptp.k10_pboole (tptp.k1_tarski tptp.np__0) (tptp.u1_struct_0 A))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v6_unialg_1 A) (tptp.v7_unialg_1 A) (tptp.v8_unialg_1 A) (tptp.l1_unialg_1 A)) (= (tptp.k9_msualg_1 A) (tptp.u1_unialg_1 A)))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v6_unialg_1 A) (tptp.v7_unialg_1 A) (tptp.v8_unialg_1 A) (tptp.l1_unialg_1 A)) (= (tptp.k10_msualg_1 A) (tptp.g3_msualg_1 (tptp.k7_msualg_1 A) (tptp.k8_msualg_1 A) (tptp.k9_msualg_1 A))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_realset2 A) (tptp.l1_msualg_1 A)) (forall ((B $$unsorted)) (=> (tptp.l3_msualg_1 B A) (forall ((C $$unsorted)) (= (= C (tptp.k11_msualg_1 A B)) (tptp.m1_subset_1 C (tptp.k2_relat_1 (tptp.u4_msualg_1 A B))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_realset2 A) (not (tptp.v2_msualg_1 A)) (tptp.v6_msualg_1 A) (tptp.l1_msualg_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_msualg_1 A)) (forall ((C $$unsorted)) (=> (and (tptp.v5_msualg_1 C A) (tptp.l3_msualg_1 C A)) (= (tptp.k3_msualg_1 A B C) (tptp.k4_finseq_2 (tptp.k3_finseq_1 (tptp.k1_msualg_1 A B)) (tptp.k11_msualg_1 A C))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (tptp.m2_subset_1 B tptp.k1_numbers tptp.k5_numbers) (tptp.r1_tarski (tptp.k4_finseq_2 B A) (tptp.k3_finseq_2 A)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_realset2 A) (not (tptp.v2_msualg_1 A)) (tptp.v6_msualg_1 A) (tptp.l1_msualg_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_msualg_1 A)) (forall ((C $$unsorted)) (=> (and (tptp.v5_msualg_1 C A) (tptp.l3_msualg_1 C A)) (tptp.r1_tarski (tptp.k3_msualg_1 A B C) (tptp.k3_finseq_2 (tptp.k11_msualg_1 A C))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_realset2 A) (not (tptp.v2_msualg_1 A)) (tptp.v6_msualg_1 A) (tptp.l1_msualg_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k11_msualg_1 A B))) (=> (and (tptp.v5_msualg_1 B A) (tptp.l3_msualg_1 B A)) (tptp.m2_finseq_1 (tptp.u5_msualg_1 A B) (tptp.k4_partfun1 (tptp.k3_finseq_2 _let_1) _let_1))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_realset2 A) (not (tptp.v2_msualg_1 A)) (tptp.v6_msualg_1 A) (tptp.l1_msualg_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v5_msualg_1 B A) (tptp.l3_msualg_1 B A)) (= (tptp.k12_msualg_1 A B) (tptp.u5_msualg_1 A B)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_realset2 A) (not (tptp.v2_msualg_1 A)) (tptp.v6_msualg_1 A) (tptp.l1_msualg_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v5_msualg_1 B A) (tptp.l3_msualg_1 B A)) (= (tptp.k13_msualg_1 A B) (tptp.g1_unialg_1 (tptp.k11_msualg_1 A B) (tptp.k12_msualg_1 A B))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_unialg_1 A) (tptp.v6_unialg_1 A) (tptp.v7_unialg_1 A) (tptp.v8_unialg_1 A) (tptp.l1_unialg_1 A)) (= A (tptp.k13_msualg_1 (tptp.k7_msualg_1 A) (tptp.k10_msualg_1 A))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v6_unialg_1 A) (tptp.v7_unialg_1 A) (tptp.v8_unialg_1 A) (tptp.l1_unialg_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k6_msualg_1 A))) (let ((_let_2 (tptp.k4_finseq_1 _let_1))) (let ((_let_3 (tptp.k1_tarski tptp.np__0))) (let ((_let_4 (tptp.k3_finseq_2 _let_3))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_2 _let_4) (tptp.m2_relset_1 B _let_2 _let_4)) (=> (= B (tptp.k1_partfun1 tptp.k5_numbers tptp.k5_numbers tptp.k5_numbers _let_4 _let_1 (tptp.k9_pboole tptp.np__0))) (= (tptp.k7_msualg_1 A) (tptp.g1_msualg_1 _let_3 _let_2 B (tptp.k10_pboole _let_2 tptp.np__0)))))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_msualg_1 A) (tptp.l1_struct_0 A))) (exists ((A $$unsorted)) (tptp.l1_msualg_1 A)) true (forall ((A $$unsorted)) (=> (tptp.l1_struct_0 A) (exists ((B $$unsorted)) (tptp.l2_msualg_1 B A)))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_msualg_1 A)) (forall ((B $$unsorted)) (=> (tptp.l3_msualg_1 B A) (tptp.l2_msualg_1 B A))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_msualg_1 A)) (exists ((B $$unsorted)) (tptp.l3_msualg_1 B A)))) (forall ((A $$unsorted)) (=> (tptp.l1_msualg_1 A) (=> (tptp.v1_msualg_1 A) (= A (tptp.g1_msualg_1 (tptp.u1_struct_0 A) (tptp.u1_msualg_1 A) (tptp.u2_msualg_1 A) (tptp.u3_msualg_1 A)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.l1_struct_0 A) (tptp.l2_msualg_1 B A)) (=> (tptp.v3_msualg_1 B A) (= B (tptp.g2_msualg_1 A (tptp.u4_msualg_1 A B)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_msualg_1 A) (tptp.l3_msualg_1 B A)) (=> (tptp.v4_msualg_1 B A) (= B (tptp.g3_msualg_1 A (tptp.u4_msualg_1 A B) (tptp.u5_msualg_1 A B)))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v3_struct_0 A)) (not (tptp.v2_msualg_1 A)) (tptp.l1_msualg_1 A) (tptp.m1_subset_1 B (tptp.u1_msualg_1 A))) (tptp.m2_finseq_2 (tptp.k1_msualg_1 A B) _let_1 (tptp.k3_finseq_2 _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (not (tptp.v2_msualg_1 A)) (tptp.l1_msualg_1 A) (tptp.m1_subset_1 B (tptp.u1_msualg_1 A))) (tptp.m1_subset_1 (tptp.k2_msualg_1 A B) (tptp.u1_struct_0 A)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (not (tptp.v2_msualg_1 A)) (tptp.l1_msualg_1 A) (tptp.m1_subset_1 B (tptp.u1_msualg_1 A)) (tptp.l3_msualg_1 C A)) (tptp.m1_subset_1 (tptp.k3_msualg_1 A B C) (tptp.k2_relat_1 (tptp.k6_pboole (tptp.u1_struct_0 A) (tptp.u4_msualg_1 A C)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (not (tptp.v2_msualg_1 A)) (tptp.l1_msualg_1 A) (tptp.m1_subset_1 B (tptp.u1_msualg_1 A)) (tptp.l3_msualg_1 C A)) (tptp.m1_subset_1 (tptp.k4_msualg_1 A B C) (tptp.k2_relat_1 (tptp.u4_msualg_1 A C))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k4_msualg_1 A B C))) (let ((_let_2 (tptp.k3_msualg_1 A B C))) (let ((_let_3 (tptp.k5_msualg_1 A B C))) (=> (and (not (tptp.v3_struct_0 A)) (not (tptp.v2_msualg_1 A)) (tptp.l1_msualg_1 A) (tptp.m1_subset_1 B (tptp.u1_msualg_1 A)) (tptp.l3_msualg_1 C A)) (and (tptp.v1_funct_1 _let_3) (tptp.v1_funct_2 _let_3 _let_2 _let_1) (tptp.m2_relset_1 _let_3 _let_2 _let_1))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v6_unialg_1 A) (tptp.v7_unialg_1 A) (tptp.v8_unialg_1 A) (tptp.l1_unialg_1 A)) (tptp.m2_finseq_1 (tptp.k6_msualg_1 A) tptp.k5_numbers))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v6_unialg_1 A) (tptp.v7_unialg_1 A) (tptp.v8_unialg_1 A) (tptp.l1_unialg_1 A)) (= (tptp.k6_msualg_1 A) (tptp.k3_unialg_1 A)))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k7_msualg_1 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v6_unialg_1 A) (tptp.v7_unialg_1 A) (tptp.v8_unialg_1 A) (tptp.l1_unialg_1 A)) (and (tptp.v3_realset2 _let_1) (tptp.v1_msualg_1 _let_1) (not (tptp.v2_msualg_1 _let_1)) (tptp.v6_msualg_1 _let_1) (tptp.l1_msualg_1 _let_1))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k8_msualg_1 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v6_unialg_1 A) (tptp.v7_unialg_1 A) (tptp.v8_unialg_1 A) (tptp.l1_unialg_1 A)) (and (tptp.v2_relat_1 _let_1) (tptp.m1_pboole _let_1 (tptp.u1_struct_0 (tptp.k7_msualg_1 A))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k8_msualg_1 A))) (let ((_let_2 (tptp.k7_msualg_1 A))) (let ((_let_3 (tptp.u1_struct_0 _let_2))) (let ((_let_4 (tptp.u1_msualg_1 _let_2))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v6_unialg_1 A) (tptp.v7_unialg_1 A) (tptp.v8_unialg_1 A) (tptp.l1_unialg_1 A)) (tptp.m3_pboole (tptp.k9_msualg_1 A) _let_4 (tptp.k8_pboole _let_4 (tptp.k3_finseq_2 _let_3) (tptp.u2_msualg_1 _let_2) (tptp.k6_pboole _let_3 _let_1)) (tptp.k8_pboole _let_4 _let_3 (tptp.u3_msualg_1 _let_2) _let_1)))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k7_msualg_1 A))) (let ((_let_2 (tptp.k10_msualg_1 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v6_unialg_1 A) (tptp.v7_unialg_1 A) (tptp.v8_unialg_1 A) (tptp.l1_unialg_1 A)) (and (tptp.v4_msualg_1 _let_2 _let_1) (tptp.l3_msualg_1 _let_2 _let_1)))))) true (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k11_msualg_1 A B))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_realset2 A) (not (tptp.v2_msualg_1 A)) (tptp.v6_msualg_1 A) (tptp.l1_msualg_1 A) (tptp.v5_msualg_1 B A) (tptp.l3_msualg_1 B A)) (tptp.m2_finseq_1 (tptp.k12_msualg_1 A B) (tptp.k4_partfun1 (tptp.k13_finseq_1 _let_1) _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k13_msualg_1 A B))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_realset2 A) (not (tptp.v2_msualg_1 A)) (tptp.v6_msualg_1 A) (tptp.l1_msualg_1 A) (tptp.v5_msualg_1 B A) (tptp.l3_msualg_1 B A)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v3_unialg_1 _let_1) (tptp.v6_unialg_1 _let_1) (tptp.v7_unialg_1 _let_1) (tptp.v8_unialg_1 _let_1) (tptp.l1_unialg_1 _let_1))))) true (forall ((A $$unsorted)) (let ((_let_1 (tptp.k3_finseq_2 (tptp.u1_struct_0 A)))) (let ((_let_2 (tptp.u1_msualg_1 A))) (let ((_let_3 (tptp.u2_msualg_1 A))) (=> (tptp.l1_msualg_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 $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.u1_msualg_1 A))) (let ((_let_3 (tptp.u3_msualg_1 A))) (=> (tptp.l1_msualg_1 A) (and (tptp.v1_funct_1 _let_3) (tptp.v1_funct_2 _let_3 _let_2 _let_1) (tptp.m2_relset_1 _let_3 _let_2 _let_1))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.l1_struct_0 A) (tptp.l2_msualg_1 B A)) (tptp.m1_pboole (tptp.u4_msualg_1 A B) (tptp.u1_struct_0 A)))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.u4_msualg_1 A B))) (let ((_let_2 (tptp.u1_struct_0 A))) (let ((_let_3 (tptp.u1_msualg_1 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_msualg_1 A) (tptp.l3_msualg_1 B A)) (tptp.m3_pboole (tptp.u5_msualg_1 A B) _let_3 (tptp.k7_pboole _let_3 (tptp.k3_finseq_2 _let_2) (tptp.u2_msualg_1 A) (tptp.k6_pboole _let_2 _let_1)) (tptp.k7_pboole _let_3 _let_2 (tptp.u3_msualg_1 A) _let_1))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.g1_msualg_1 A B C D))) (let ((_let_2 (tptp.k3_finseq_2 A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C B _let_2) (tptp.m1_relset_1 C B _let_2) (tptp.v1_funct_1 D) (tptp.v1_funct_2 D B A) (tptp.m1_relset_1 D B A)) (and (tptp.v1_msualg_1 _let_1) (tptp.l1_msualg_1 _let_1)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k3_finseq_2 A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C B _let_1) (tptp.m1_relset_1 C B _let_1) (tptp.v1_funct_1 D) (tptp.v1_funct_2 D B A) (tptp.m1_relset_1 D B A)) (forall ((E $$unsorted) (F $$unsorted) (G $$unsorted) (H $$unsorted)) (=> (= (tptp.g1_msualg_1 A B C D) (tptp.g1_msualg_1 E F G H)) (and (= A E) (= B F) (= C G) (= D H))))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.g2_msualg_1 A B))) (=> (and (tptp.l1_struct_0 A) (tptp.m1_pboole B (tptp.u1_struct_0 A))) (and (tptp.v3_msualg_1 _let_1 A) (tptp.l2_msualg_1 _let_1 A))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.l1_struct_0 A) (tptp.m1_pboole B (tptp.u1_struct_0 A))) (forall ((C $$unsorted) (D $$unsorted)) (=> (= (tptp.g2_msualg_1 A B) (tptp.g2_msualg_1 C D)) (and (= A C) (= B D)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.g3_msualg_1 A B C))) (let ((_let_2 (tptp.u1_struct_0 A))) (let ((_let_3 (tptp.u1_msualg_1 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_msualg_1 A) (tptp.m1_pboole B _let_2) (tptp.m3_pboole C _let_3 (tptp.k7_pboole _let_3 (tptp.k3_finseq_2 _let_2) (tptp.u2_msualg_1 A) (tptp.k6_pboole _let_2 B)) (tptp.k7_pboole _let_3 _let_2 (tptp.u3_msualg_1 A) B))) (and (tptp.v4_msualg_1 _let_1 A) (tptp.l3_msualg_1 _let_1 A))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.u1_msualg_1 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_msualg_1 A) (tptp.m1_pboole B _let_1) (tptp.m3_pboole C _let_2 (tptp.k7_pboole _let_2 (tptp.k3_finseq_2 _let_1) (tptp.u2_msualg_1 A) (tptp.k6_pboole _let_1 B)) (tptp.k7_pboole _let_2 _let_1 (tptp.u3_msualg_1 A) B))) (forall ((D $$unsorted) (E $$unsorted) (F $$unsorted)) (=> (= (tptp.g3_msualg_1 A B C) (tptp.g3_msualg_1 D E F)) (and (= A D) (= B E) (= C F)))))))) (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)) (=> (tptp.m1_group_2 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.m1_subset_1 D (tptp.u1_struct_0 B)) (tptp.r1_rlvect_1 B (tptp.k2_group_3 A D C))))))) (tptp.v1_group_3 B 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)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_fraenkel B _let_1 _let_1) (= (= B (tptp.k1_autgroup A)) (and (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m2_fraenkel C _let_1 _let_1 B) (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_1 _let_1) (tptp.v1_group_6 C A A) (tptp.m2_relset_1 C _let_1 _let_1))))) (forall ((C $$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.v1_group_6 C A A) (tptp.m2_relset_1 C _let_1 _let_1)) (= (tptp.r2_hidden C B) (and (tptp.v2_funct_1 C) (tptp.v3_group_6 C A A))))))))))))) true (forall ((A $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v1_group_1 A) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (tptp.r1_tarski (tptp.k1_autgroup A) (tptp.k1_fraenkel _let_1 _let_1))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (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.m2_fraenkel (tptp.k6_partfun1 _let_1) _let_1 _let_1 (tptp.k1_autgroup 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)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_1 _let_1) (tptp.v1_group_6 B A A) (tptp.m2_relset_1 B _let_1 _let_1)) (= (tptp.r2_hidden B (tptp.k1_autgroup A)) (tptp.v4_group_6 B A 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)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.k2_funct_1 B))) (=> (tptp.m2_fraenkel B _let_1 _let_1 (tptp.k1_autgroup 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 $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v1_group_1 A) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k1_autgroup A))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (tptp.m2_fraenkel B _let_2 _let_2 _let_1) (tptp.m2_fraenkel (tptp.k2_funct_1 B) _let_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.u1_struct_0 A))) (=> (tptp.m2_fraenkel B _let_1 _let_1 (tptp.k1_autgroup A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k1_autgroup A))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (tptp.m2_fraenkel C _let_2 _let_2 _let_1) (tptp.m2_fraenkel (tptp.k7_funct_2 _let_2 _let_2 _let_2 C B) _let_2 _let_2 _let_1)))))))))) (forall ((A $$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 $$unsorted)) (let ((_let_1 (tptp.k1_autgroup A))) (let ((_let_2 (tptp.k2_zfmisc_1 _let_1 _let_1))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_2 _let_1) (tptp.m2_relset_1 B _let_2 _let_1)) (= (= B (tptp.k2_autgroup A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m2_fraenkel C _let_1 _let_1 (tptp.k1_autgroup A)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.k1_autgroup A))) (=> (tptp.m2_fraenkel D _let_1 _let_1 _let_2) (= (tptp.k2_binop_1 _let_2 _let_2 _let_2 B C D) (tptp.k7_funct_2 _let_1 _let_1 _let_1 D C)))))))))))))))) (forall ((A $$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)) (= (tptp.k3_autgroup A) (tptp.g1_group_1 (tptp.k1_autgroup A) (tptp.k2_autgroup 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)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 (tptp.k3_autgroup A))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 (tptp.k3_autgroup A))) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m2_fraenkel D _let_1 _let_1 (tptp.k1_autgroup A)) (forall ((E $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m2_fraenkel E _let_1 _let_1 (tptp.k1_autgroup A)) (=> (and (= B D) (= C E)) (= (tptp.k1_group_1 (tptp.k3_autgroup A) B C) (tptp.k7_funct_2 _let_1 _let_1 _let_1 E D))))))))))))))) (forall ((A $$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.k6_partfun1 (tptp.u1_struct_0 A)) (tptp.k2_group_1 (tptp.k3_autgroup 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)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m2_fraenkel B _let_1 _let_1 (tptp.k1_autgroup A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k3_autgroup A))) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 _let_1)) (=> (= B C) (= (tptp.k2_funct_1 B) (tptp.k3_group_1 _let_1 C))))))))))) (forall ((A $$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 $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_fraenkel B _let_1 _let_1) (= (= B (tptp.k4_autgroup A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m2_fraenkel C _let_1 _let_1 (tptp.k1_fraenkel _let_1 _let_1)) (= (tptp.r2_hidden C B) (exists ((D $$unsorted)) (and (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (forall ((E $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 E _let_1) (= (tptp.k8_funct_2 _let_1 _let_1 C E) (tptp.k2_group_3 A E D))))))))))))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v1_group_1 A) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (tptp.r1_tarski (tptp.k4_autgroup A) (tptp.k1_fraenkel _let_1 _let_1))))) (forall ((A $$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 $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m2_fraenkel B _let_1 _let_1 (tptp.k4_autgroup A)) (tptp.m2_fraenkel B _let_1 _let_1 (tptp.k1_autgroup A))))))) (forall ((A $$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.r1_tarski (tptp.k4_autgroup A) (tptp.k1_autgroup 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)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m2_fraenkel B _let_1 _let_1 (tptp.k4_autgroup A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m2_fraenkel C _let_1 _let_1 (tptp.k4_autgroup A)) (= (tptp.k1_binop_1 (tptp.k2_autgroup A) B C) (tptp.k7_funct_2 _let_1 _let_1 _let_1 C B)))))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (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.m2_fraenkel (tptp.k6_partfun1 _let_1) _let_1 _let_1 (tptp.k4_autgroup 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)) (let ((_let_1 (tptp.k4_autgroup A))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (tptp.m2_fraenkel B _let_2 _let_2 _let_1) (tptp.m2_fraenkel (tptp.k2_funct_1 B) _let_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.u1_struct_0 A))) (=> (tptp.m2_fraenkel B _let_1 _let_1 (tptp.k4_autgroup A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k4_autgroup A))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (tptp.m2_fraenkel C _let_2 _let_2 _let_1) (tptp.m2_fraenkel (tptp.k7_funct_2 _let_2 _let_2 _let_2 C B) _let_2 _let_2 _let_1)))))))))) (forall ((A $$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 $$unsorted)) (let ((_let_1 (tptp.k3_autgroup A))) (=> (and (tptp.v1_group_1 B) (tptp.v1_group_3 B _let_1) (tptp.m1_group_2 B _let_1)) (= (= B (tptp.k5_autgroup A)) (= (tptp.u1_struct_0 B) (tptp.k4_autgroup A)))))))) true (forall ((A $$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 $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 (tptp.k5_autgroup A))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 (tptp.k5_autgroup A))) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m2_fraenkel D _let_1 _let_1 (tptp.k4_autgroup A)) (forall ((E $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m2_fraenkel E _let_1 _let_1 (tptp.k4_autgroup A)) (=> (and (= B D) (= C E)) (= (tptp.k1_group_1 (tptp.k5_autgroup A) B C) (tptp.k7_funct_2 _let_1 _let_1 _let_1 E D))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v1_group_1 A) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (= (tptp.k6_partfun1 (tptp.u1_struct_0 A)) (tptp.k2_group_1 (tptp.k5_autgroup A))))) (forall ((A $$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 $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m2_fraenkel B _let_1 _let_1 (tptp.k4_autgroup A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k5_autgroup A))) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 _let_1)) (=> (= B C) (= (tptp.k2_funct_1 B) (tptp.k3_group_1 _let_1 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)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m2_fraenkel C _let_1 _let_1 (tptp.k4_autgroup A)) (= (= C (tptp.k6_autgroup A B)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 D _let_1) (= (tptp.k8_funct_2 _let_1 _let_1 C D) (tptp.k2_group_3 A D 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)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 C _let_1) (= (tptp.k6_autgroup A (tptp.k1_group_1 A B C)) (tptp.k7_funct_2 _let_1 _let_1 _let_1 (tptp.k6_autgroup A B) (tptp.k6_autgroup A C)))))))))) (forall ((A $$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)) (= (tptp.k6_autgroup A (tptp.k2_group_1 A)) (tptp.k6_partfun1 (tptp.u1_struct_0 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)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 B _let_1) (= (tptp.k8_funct_2 _let_1 _let_1 (tptp.k6_autgroup A (tptp.k2_group_1 A)) B) 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)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 B _let_1) (= (tptp.k7_funct_2 _let_1 _let_1 _let_1 (tptp.k6_autgroup A (tptp.k3_group_1 A B)) (tptp.k6_autgroup A B)) (tptp.k6_autgroup A (tptp.k2_group_1 A)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v1_group_1 A) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 B _let_1) (= (tptp.k7_funct_2 _let_1 _let_1 _let_1 (tptp.k6_autgroup A B) (tptp.k6_autgroup A (tptp.k3_group_1 A B))) (tptp.k6_autgroup A (tptp.k2_group_1 A)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v1_group_1 A) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (= (tptp.k6_autgroup A (tptp.k3_group_1 A B)) (tptp.k2_funct_1 (tptp.k6_autgroup A 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)) (let ((_let_1 (tptp.k6_autgroup A B))) (let ((_let_2 (tptp.k6_autgroup A (tptp.k2_group_1 A)))) (let ((_let_3 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 B _let_3) (and (= (tptp.k7_funct_2 _let_3 _let_3 _let_3 _let_2 _let_1) _let_1) (= (tptp.k7_funct_2 _let_3 _let_3 _let_3 _let_1 _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_autgroup A (tptp.k2_group_1 A)))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (tptp.m2_fraenkel B _let_2 _let_2 (tptp.k4_autgroup A)) (and (= (tptp.k7_funct_2 _let_2 _let_2 _let_2 _let_1 B) B) (= (tptp.k7_funct_2 _let_2 _let_2 _let_2 B _let_1) B)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v1_group_1 A) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (tptp.r2_group_6 (tptp.k5_autgroup A) (tptp.k6_group_6 A (tptp.k10_group_5 A))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.l1_group_1 A))) (let ((_let_2 (tptp.v4_group_1 A))) (let ((_let_3 (tptp.v3_group_1 A))) (let ((_let_4 (not (tptp.v3_struct_0 A)))) (=> (and _let_4 (tptp.v1_group_1 A) _let_3 _let_2 _let_1) (=> (and _let_4 _let_3 _let_2 (tptp.v7_group_1 A) _let_1) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k5_autgroup A))) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 _let_1)) (= B (tptp.k2_group_1 _let_1)))))))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (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.m1_fraenkel (tptp.k1_autgroup A) _let_1 _let_1)))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k1_autgroup A))) (let ((_let_2 (tptp.k2_zfmisc_1 _let_1 _let_1))) (let ((_let_3 (tptp.k2_autgroup A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v1_group_1 A) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (and (tptp.v1_funct_1 _let_3) (tptp.v1_funct_2 _let_3 _let_2 _let_1) (tptp.m2_relset_1 _let_3 _let_2 _let_1))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k3_autgroup A))) (=> (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)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v1_group_1 _let_1) (tptp.v3_group_1 _let_1) (tptp.v4_group_1 _let_1) (tptp.l1_group_1 _let_1))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v1_group_1 A) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (tptp.m1_fraenkel (tptp.k4_autgroup A) _let_1 _let_1)))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k3_autgroup A))) (let ((_let_2 (tptp.k5_autgroup A))) (=> (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)) (and (tptp.v1_group_1 _let_2) (tptp.v1_group_3 _let_2 _let_1) (tptp.m1_group_2 _let_2 _let_1)))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (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.m1_subset_1 B _let_1)) (tptp.m2_fraenkel (tptp.k6_autgroup A B) _let_1 _let_1 (tptp.k4_autgroup A))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k2_pboole A B C))) (=> (and (tptp.m1_pboole B A) (tptp.v2_relat_1 C) (tptp.m1_pboole C A)) (and (tptp.v1_relat_1 _let_1) (tptp.v2_relat_1 _let_1) (tptp.v1_funct_1 _let_1))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k2_pboole A C B))) (=> (and (tptp.m1_pboole B A) (tptp.v2_relat_1 C) (tptp.m1_pboole C A)) (and (tptp.v1_relat_1 _let_1) (tptp.v2_relat_1 _let_1) (tptp.v1_funct_1 _let_1))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.g1_msualg_1 A B C D))) (let ((_let_2 (tptp.k3_finseq_2 A))) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C B _let_2) (tptp.m1_relset_1 C B _let_2) (tptp.v1_funct_1 D) (tptp.v1_funct_2 D B A) (tptp.m1_relset_1 D B A)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v1_msualg_1 _let_1)))))) (exists ((A $$unsorted)) (and (tptp.l1_msualg_1 A) (not (tptp.v3_struct_0 A)) (tptp.v1_msualg_1 A) (not (tptp.v2_msualg_1 A)) (tptp.v2_msualg_2 A))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (not (tptp.v2_msualg_1 A)) (tptp.v2_msualg_2 A) (tptp.l1_msualg_1 A) (tptp.v5_msualg_1 B A) (tptp.l3_msualg_1 B A) (tptp.m1_subset_1 C (tptp.u1_struct_0 A))) (not (tptp.v1_xboole_0 (tptp.k1_msualg_2 A B C))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k2_msualg_2 A B))) (=> (and (not (tptp.v3_struct_0 A)) (not (tptp.v2_msualg_1 A)) (tptp.v2_msualg_2 A) (tptp.l1_msualg_1 A) (tptp.v5_msualg_1 B A) (tptp.l3_msualg_1 B A)) (and (tptp.v1_relat_1 _let_1) (tptp.v2_relat_1 _let_1) (not (tptp.v3_relat_1 _let_1)) (tptp.v1_funct_1 _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (not (tptp.v2_msualg_1 A)) (tptp.l1_msualg_1 A) (tptp.l3_msualg_1 B A)) (exists ((C $$unsorted)) (and (tptp.m1_msualg_2 C A B) (tptp.v4_msualg_1 C A))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.g3_msualg_1 A (tptp.u4_msualg_1 A B) (tptp.u5_msualg_1 A B)))) (=> (and (not (tptp.v3_struct_0 A)) (not (tptp.v2_msualg_1 A)) (tptp.l1_msualg_1 A) (tptp.v5_msualg_1 B A) (tptp.l3_msualg_1 B A)) (and (tptp.v4_msualg_1 _let_1 A) (tptp.v5_msualg_1 _let_1 A))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (not (tptp.v2_msualg_1 A)) (tptp.l1_msualg_1 A) (tptp.v5_msualg_1 B A) (tptp.l3_msualg_1 B A)) (exists ((C $$unsorted)) (and (tptp.m1_msualg_2 C A B) (tptp.v4_msualg_1 C A) (tptp.v5_msualg_1 C A))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (not (tptp.v2_msualg_1 A)) (tptp.l1_msualg_1 A) (tptp.l3_msualg_1 B A) (tptp.m4_pboole C (tptp.u1_struct_0 A) (tptp.u4_msualg_1 A B))) (not (tptp.v1_xboole_0 (tptp.k5_msualg_2 A B C))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (not (tptp.v2_msualg_1 A)) (tptp.l1_msualg_1 A) (tptp.l3_msualg_1 B A)) (not (tptp.v1_xboole_0 (tptp.k6_msualg_2 A B))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v3_struct_0 A)) (not (tptp.v2_msualg_1 A)) (tptp.l1_msualg_1 A) (tptp.l3_msualg_1 B A) (tptp.m4_pboole C _let_1 (tptp.u4_msualg_1 A B)) (tptp.m1_subset_1 D _let_1)) (not (tptp.v1_xboole_0 (tptp.k8_msualg_2 A B C D)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k12_msualg_2 A B C))) (=> (and (not (tptp.v3_struct_0 A)) (not (tptp.v2_msualg_1 A)) (tptp.l1_msualg_1 A) (tptp.v5_msualg_1 B A) (tptp.l3_msualg_1 B A) (tptp.v2_relat_1 C) (tptp.m4_pboole C (tptp.u1_struct_0 A) (tptp.u4_msualg_1 A B))) (and (tptp.v4_msualg_1 _let_1 A) (tptp.v5_msualg_1 _let_1 A))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (not (tptp.v2_msualg_1 A)) (tptp.l1_msualg_1 A) (tptp.l3_msualg_1 B A)) (not (tptp.v1_xboole_0 (tptp.k14_msualg_2 A B))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k17_msualg_2 A B))) (=> (and (not (tptp.v3_struct_0 A)) (not (tptp.v2_msualg_1 A)) (tptp.l1_msualg_1 A) (tptp.v5_msualg_1 B A) (tptp.l3_msualg_1 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) (tptp.v13_lattices _let_1) (tptp.v14_lattices _let_1) (tptp.v15_lattices _let_1))))) true (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m1_pboole C A) (forall ((D $$unsorted)) (=> (tptp.m2_finseq_2 D A (tptp.k3_finseq_2 A)) (= (tptp.k4_card_3 (tptp.k5_relat_1 D (tptp.k3_pboole A B C))) (tptp.k3_xboole_0 (tptp.k4_card_3 (tptp.k5_relat_1 D B)) (tptp.k4_card_3 (tptp.k5_relat_1 D C)))))))))))) true (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_msualg_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (= (tptp.v1_msualg_2 B A) (exists ((C $$unsorted)) (and (tptp.m1_subset_1 C (tptp.u1_msualg_1 A)) (= (tptp.k1_funct_1 (tptp.u2_msualg_1 A) C) tptp.k1_xboole_0) (= (tptp.k1_funct_1 (tptp.u3_msualg_1 A) C) B)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_msualg_1 A)) (= (tptp.v2_msualg_2 A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (tptp.v1_msualg_2 B A)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (not (tptp.v2_msualg_1 A)) (tptp.l1_msualg_1 A)) (forall ((B $$unsorted)) (=> (tptp.l3_msualg_1 B A) (forall ((C $$unsorted)) (=> (tptp.m4_pboole C (tptp.u1_struct_0 A) (tptp.u4_msualg_1 A B)) (= (= C (tptp.k2_msualg_2 A B)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (= (tptp.k1_funct_1 C D) (tptp.k1_msualg_2 A B D))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (not (tptp.v2_msualg_1 A)) (tptp.l1_msualg_1 A)) (forall ((B $$unsorted)) (=> (tptp.l3_msualg_1 B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_msualg_1 A)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.u1_msualg_1 A))) (=> (tptp.m4_pboole D _let_1 (tptp.u4_msualg_1 A B)) (= (tptp.r1_msualg_2 A B C D) (tptp.r1_tarski (tptp.k2_relat_1 (tptp.k7_relat_1 (tptp.k5_msualg_1 A C B) (tptp.k1_funct_1 (tptp.k7_pboole _let_2 (tptp.k3_finseq_2 _let_1) (tptp.u2_msualg_1 A) (tptp.k6_pboole _let_1 D)) C))) (tptp.k1_funct_1 (tptp.k7_pboole _let_2 _let_1 (tptp.u3_msualg_1 A) D) C))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (not (tptp.v2_msualg_1 A)) (tptp.l1_msualg_1 A)) (forall ((B $$unsorted)) (=> (tptp.l3_msualg_1 B A) (forall ((C $$unsorted)) (=> (tptp.m4_pboole C (tptp.u1_struct_0 A) (tptp.u4_msualg_1 A B)) (= (tptp.v3_msualg_2 C A B) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_msualg_1 A)) (tptp.r1_msualg_2 A B D C)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (not (tptp.v2_msualg_1 A)) (tptp.l1_msualg_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_msualg_1 A)) (forall ((C $$unsorted)) (=> (tptp.l3_msualg_1 C A) (forall ((D $$unsorted)) (=> (tptp.m4_pboole D (tptp.u1_struct_0 A) (tptp.u4_msualg_1 A C)) (forall ((E $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.u2_msualg_1 A))) (let ((_let_3 (tptp.k3_finseq_2 _let_1))) (let ((_let_4 (tptp.u1_msualg_1 A))) (=> (tptp.m4_pboole E _let_1 (tptp.u4_msualg_1 A C)) (=> (tptp.r2_pboole _let_1 D E) (tptp.r1_tarski (tptp.k1_funct_1 (tptp.k7_pboole _let_4 _let_3 _let_2 (tptp.k6_pboole _let_1 D)) B) (tptp.k1_funct_1 (tptp.k7_pboole _let_4 _let_3 _let_2 (tptp.k6_pboole _let_1 E)) B))))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (not (tptp.v2_msualg_1 A)) (tptp.l1_msualg_1 A)) (forall ((B $$unsorted)) (=> (tptp.l3_msualg_1 B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_msualg_1 A)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m4_pboole D _let_1 (tptp.u4_msualg_1 A B)) (=> (tptp.r1_msualg_2 A B C D) (= (tptp.k3_msualg_2 A B C D) (tptp.k7_relat_1 (tptp.k5_msualg_1 A C B) (tptp.k1_funct_1 (tptp.k7_pboole (tptp.u1_msualg_1 A) (tptp.k3_finseq_2 _let_1) (tptp.u2_msualg_1 A) (tptp.k6_pboole _let_1 D)) C))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (not (tptp.v2_msualg_1 A)) (tptp.l1_msualg_1 A)) (forall ((B $$unsorted)) (=> (tptp.l3_msualg_1 B A) (forall ((C $$unsorted)) (=> (tptp.m4_pboole C (tptp.u1_struct_0 A) (tptp.u4_msualg_1 A B)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.u1_msualg_1 A))) (=> (tptp.m3_pboole D _let_2 (tptp.k7_pboole _let_2 (tptp.k3_finseq_2 _let_1) (tptp.u2_msualg_1 A) (tptp.k6_pboole _let_1 C)) (tptp.k7_pboole _let_2 _let_1 (tptp.u3_msualg_1 A) C)) (= (= D (tptp.k4_msualg_2 A B C)) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.u1_msualg_1 A)) (= (tptp.k1_funct_1 D E) (tptp.k3_msualg_2 A B E C))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (not (tptp.v2_msualg_1 A)) (tptp.l1_msualg_1 A)) (forall ((B $$unsorted)) (=> (tptp.l3_msualg_1 B A) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u4_msualg_1 A B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (tptp.m4_pboole C _let_2 _let_1) (=> (tptp.r6_pboole _let_2 C _let_1) (and (tptp.v3_msualg_2 C A B) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_msualg_1 A)) (= (tptp.k3_msualg_2 A B D C) (tptp.k5_msualg_1 A D B)))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (not (tptp.v2_msualg_1 A)) (tptp.l1_msualg_1 A)) (forall ((B $$unsorted)) (=> (tptp.l3_msualg_1 B A) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u4_msualg_1 A B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (tptp.m4_pboole C _let_2 _let_1) (=> (tptp.r6_pboole _let_2 C _let_1) (tptp.r6_pboole (tptp.u1_msualg_1 A) (tptp.k4_msualg_2 A B C) (tptp.u5_msualg_1 A B))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (not (tptp.v2_msualg_1 A)) (tptp.l1_msualg_1 A)) (forall ((B $$unsorted)) (=> (tptp.l3_msualg_1 B A) (forall ((C $$unsorted)) (=> (tptp.l3_msualg_1 C A) (= (tptp.m1_msualg_2 C A B) (and (tptp.m4_pboole (tptp.u4_msualg_1 A C) (tptp.u1_struct_0 A) (tptp.u4_msualg_1 A B)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m4_pboole D _let_1 (tptp.u4_msualg_1 A B)) (=> (tptp.r6_pboole _let_1 D (tptp.u4_msualg_1 A C)) (and (tptp.v3_msualg_2 D A B) (tptp.r6_pboole (tptp.u1_msualg_1 A) (tptp.u5_msualg_1 A C) (tptp.k4_msualg_2 A B D))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (not (tptp.v2_msualg_1 A)) (tptp.l1_msualg_1 A)) (forall ((B $$unsorted)) (=> (tptp.l3_msualg_1 B A) (tptp.m1_msualg_2 B A B))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (not (tptp.v2_msualg_1 A)) (tptp.l1_msualg_1 A)) (forall ((B $$unsorted)) (=> (tptp.l3_msualg_1 B A) (forall ((C $$unsorted)) (=> (tptp.l3_msualg_1 C A) (forall ((D $$unsorted)) (=> (tptp.l3_msualg_1 D A) (=> (and (tptp.m1_msualg_2 B A C) (tptp.m1_msualg_2 C A D)) (tptp.m1_msualg_2 B A D)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (not (tptp.v2_msualg_1 A)) (tptp.l1_msualg_1 A)) (forall ((B $$unsorted)) (=> (tptp.l3_msualg_1 B A) (forall ((C $$unsorted)) (=> (tptp.l3_msualg_1 C A) (=> (and (tptp.v4_msualg_1 B A) (tptp.m1_msualg_2 B A C) (tptp.v4_msualg_1 C A) (tptp.m1_msualg_2 C A B)) (= B C)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (not (tptp.v2_msualg_1 A)) (tptp.l1_msualg_1 A)) (forall ((B $$unsorted)) (=> (tptp.l3_msualg_1 B A) (forall ((C $$unsorted)) (=> (tptp.m1_msualg_2 C A B) (forall ((D $$unsorted)) (=> (tptp.m1_msualg_2 D A B) (=> (tptp.r2_pboole (tptp.u1_struct_0 A) (tptp.u4_msualg_1 A C) (tptp.u4_msualg_1 A D)) (tptp.m1_msualg_2 C A D)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (not (tptp.v2_msualg_1 A)) (tptp.l1_msualg_1 A)) (forall ((B $$unsorted)) (=> (tptp.l3_msualg_1 B A) (forall ((C $$unsorted)) (=> (and (tptp.v4_msualg_1 C A) (tptp.m1_msualg_2 C A B)) (forall ((D $$unsorted)) (=> (and (tptp.v4_msualg_1 D A) (tptp.m1_msualg_2 D A B)) (=> (tptp.r6_pboole (tptp.u1_struct_0 A) (tptp.u4_msualg_1 A C) (tptp.u4_msualg_1 A D)) (= C D)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (not (tptp.v2_msualg_1 A)) (tptp.l1_msualg_1 A)) (forall ((B $$unsorted)) (=> (tptp.l3_msualg_1 B A) (forall ((C $$unsorted)) (=> (tptp.m1_msualg_2 C A B) (tptp.m4_pboole (tptp.k2_msualg_2 A B) (tptp.u1_struct_0 A) (tptp.u4_msualg_1 A C)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (not (tptp.v2_msualg_1 A)) (tptp.v2_msualg_2 A) (tptp.l1_msualg_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v5_msualg_1 B A) (tptp.l3_msualg_1 B A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k2_msualg_2 A B))) (=> (and (tptp.v5_msualg_1 C A) (tptp.m1_msualg_2 C A B)) (and (tptp.v2_relat_1 _let_1) (tptp.m4_pboole _let_1 (tptp.u1_struct_0 A) (tptp.u4_msualg_1 A C)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (not (tptp.v2_msualg_1 A)) (tptp.v2_msualg_2 A) (tptp.l1_msualg_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v5_msualg_1 B A) (tptp.l3_msualg_1 B A)) (forall ((C $$unsorted)) (=> (and (tptp.v5_msualg_1 C A) (tptp.m1_msualg_2 C A B)) (forall ((D $$unsorted)) (=> (and (tptp.v5_msualg_1 D A) (tptp.m1_msualg_2 D A B)) (tptp.v2_relat_1 (tptp.k3_pboole (tptp.u1_struct_0 A) (tptp.u4_msualg_1 A C) (tptp.u4_msualg_1 A D))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (not (tptp.v2_msualg_1 A)) (tptp.l1_msualg_1 A)) (forall ((B $$unsorted)) (=> (tptp.l3_msualg_1 B A) (forall ((C $$unsorted)) (=> (tptp.m4_pboole C (tptp.u1_struct_0 A) (tptp.u4_msualg_1 A B)) (forall ((D $$unsorted)) (= (= D (tptp.k5_msualg_2 A B C)) (forall ((E $$unsorted)) (let ((_let_1 (tptp.u4_msualg_1 A B))) (let ((_let_2 (tptp.u1_struct_0 A))) (= (tptp.r2_hidden E D) (and (tptp.r2_hidden E (tptp.k1_funct_2 _let_2 (tptp.k1_zfmisc_1 (tptp.k3_card_3 _let_1)))) (tptp.m4_pboole E _let_2 _let_1) (forall ((F $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m4_pboole F _let_1 (tptp.u4_msualg_1 A B)) (=> (= F E) (and (tptp.v3_msualg_2 F A B) (tptp.r2_pboole _let_1 (tptp.k2_msualg_2 A B) F) (tptp.r2_pboole _let_1 C F))))))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (not (tptp.v2_msualg_1 A)) (tptp.l1_msualg_1 A)) (forall ((B $$unsorted)) (=> (tptp.l3_msualg_1 B A) (forall ((C $$unsorted)) (= (= C (tptp.k6_msualg_2 A B)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u4_msualg_1 A B))) (let ((_let_2 (tptp.u1_struct_0 A))) (= (tptp.r2_hidden D C) (and (tptp.r2_hidden D (tptp.k1_funct_2 _let_2 (tptp.k1_zfmisc_1 (tptp.k3_card_3 _let_1)))) (tptp.m4_pboole D _let_2 _let_1) (forall ((E $$unsorted)) (=> (tptp.m4_pboole E (tptp.u1_struct_0 A) (tptp.u4_msualg_1 A B)) (=> (= E D) (tptp.v3_msualg_2 E A B))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (not (tptp.v2_msualg_1 A)) (tptp.l1_msualg_1 A)) (forall ((B $$unsorted)) (=> (tptp.l3_msualg_1 B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k6_msualg_2 A B)) (= (tptp.k7_msualg_2 A B C) C))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (not (tptp.v2_msualg_1 A)) (tptp.l1_msualg_1 A)) (forall ((B $$unsorted)) (=> (tptp.l3_msualg_1 B A) (forall ((C $$unsorted)) (=> (tptp.m4_pboole C (tptp.u1_struct_0 A) (tptp.u4_msualg_1 A B)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m4_pboole D _let_1 (tptp.u4_msualg_1 A B)) (= (tptp.r2_hidden D (tptp.k5_msualg_2 A B C)) (and (tptp.v3_msualg_2 D A B) (tptp.r2_pboole _let_1 (tptp.k2_msualg_2 A B) D) (tptp.r2_pboole _let_1 C D)))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (not (tptp.v2_msualg_1 A)) (tptp.l1_msualg_1 A)) (forall ((B $$unsorted)) (=> (tptp.l3_msualg_1 B A) (forall ((C $$unsorted)) (=> (tptp.m4_pboole C (tptp.u1_struct_0 A) (tptp.u4_msualg_1 A B)) (= (tptp.r2_hidden C (tptp.k6_msualg_2 A B)) (tptp.v3_msualg_2 C A B)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (not (tptp.v2_msualg_1 A)) (tptp.l1_msualg_1 A)) (forall ((B $$unsorted)) (=> (tptp.l3_msualg_1 B A) (forall ((C $$unsorted)) (=> (tptp.m4_pboole C (tptp.u1_struct_0 A) (tptp.u4_msualg_1 A B)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (forall ((E $$unsorted)) (= (= E (tptp.k8_msualg_2 A B C D)) (forall ((F $$unsorted)) (= (tptp.r2_hidden F E) (exists ((G $$unsorted)) (and (tptp.m4_pboole G (tptp.u1_struct_0 A) (tptp.u4_msualg_1 A B)) (tptp.r2_hidden G (tptp.k5_msualg_2 A B C)) (= F (tptp.k1_funct_1 G D)))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (not (tptp.v2_msualg_1 A)) (tptp.l1_msualg_1 A)) (forall ((B $$unsorted)) (=> (tptp.l3_msualg_1 B A) (forall ((C $$unsorted)) (=> (tptp.m4_pboole C (tptp.u1_struct_0 A) (tptp.u4_msualg_1 A B)) (forall ((D $$unsorted)) (=> (tptp.m4_pboole D (tptp.u1_struct_0 A) (tptp.u4_msualg_1 A B)) (= (= D (tptp.k9_msualg_2 A B C)) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.u1_struct_0 A)) (= (tptp.k1_funct_1 D E) (tptp.k1_setfam_1 (tptp.k8_msualg_2 A B C E)))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (not (tptp.v2_msualg_1 A)) (tptp.l1_msualg_1 A)) (forall ((B $$unsorted)) (=> (tptp.l3_msualg_1 B A) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m4_pboole C _let_1 (tptp.u4_msualg_1 A B)) (tptp.r2_pboole _let_1 (tptp.k2_pboole _let_1 (tptp.k2_msualg_2 A B) C) (tptp.k9_msualg_2 A B C))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (not (tptp.v2_msualg_1 A)) (tptp.l1_msualg_1 A)) (forall ((B $$unsorted)) (=> (tptp.l3_msualg_1 B A) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m4_pboole C _let_1 (tptp.u4_msualg_1 A B)) (=> (tptp.v2_relat_1 (tptp.k2_pboole _let_1 (tptp.k2_msualg_2 A B) C)) (tptp.v2_relat_1 (tptp.k9_msualg_2 A B C)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (not (tptp.v2_msualg_1 A)) (tptp.l1_msualg_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_msualg_1 A)) (forall ((C $$unsorted)) (=> (tptp.l3_msualg_1 C A) (forall ((D $$unsorted)) (=> (tptp.m4_pboole D (tptp.u1_struct_0 A) (tptp.u4_msualg_1 A C)) (forall ((E $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.u2_msualg_1 A))) (let ((_let_3 (tptp.k3_finseq_2 _let_1))) (let ((_let_4 (tptp.u1_msualg_1 A))) (=> (tptp.m4_pboole E _let_1 (tptp.u4_msualg_1 A C)) (=> (tptp.r2_hidden E (tptp.k5_msualg_2 A C D)) (tptp.r1_tarski (tptp.k1_funct_1 (tptp.k7_pboole _let_4 _let_3 _let_2 (tptp.k6_pboole _let_1 (tptp.k9_msualg_2 A C D))) B) (tptp.k1_funct_1 (tptp.k7_pboole _let_4 _let_3 _let_2 (tptp.k6_pboole _let_1 E)) B))))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (not (tptp.v2_msualg_1 A)) (tptp.l1_msualg_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_msualg_1 A)) (forall ((C $$unsorted)) (=> (tptp.l3_msualg_1 C A) (forall ((D $$unsorted)) (=> (tptp.m4_pboole D (tptp.u1_struct_0 A) (tptp.u4_msualg_1 A C)) (forall ((E $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.u1_msualg_1 A))) (=> (tptp.m4_pboole E _let_1 (tptp.u4_msualg_1 A C)) (=> (tptp.r2_hidden E (tptp.k5_msualg_2 A C D)) (tptp.r1_tarski (tptp.k2_relat_1 (tptp.k7_relat_1 (tptp.k5_msualg_1 A B C) (tptp.k1_funct_1 (tptp.k7_pboole _let_2 (tptp.k3_finseq_2 _let_1) (tptp.u2_msualg_1 A) (tptp.k6_pboole _let_1 (tptp.k9_msualg_2 A C D))) B))) (tptp.k1_funct_1 (tptp.k7_pboole _let_2 _let_1 (tptp.u3_msualg_1 A) E) B))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (not (tptp.v2_msualg_1 A)) (tptp.l1_msualg_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_msualg_1 A)) (forall ((C $$unsorted)) (=> (tptp.l3_msualg_1 C A) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k9_msualg_2 A C D))) (let ((_let_2 (tptp.u1_struct_0 A))) (let ((_let_3 (tptp.u1_msualg_1 A))) (=> (tptp.m4_pboole D _let_2 (tptp.u4_msualg_1 A C)) (tptp.r1_tarski (tptp.k2_relat_1 (tptp.k7_relat_1 (tptp.k5_msualg_1 A B C) (tptp.k1_funct_1 (tptp.k7_pboole _let_3 (tptp.k3_finseq_2 _let_2) (tptp.u2_msualg_1 A) (tptp.k6_pboole _let_2 _let_1)) B))) (tptp.k1_funct_1 (tptp.k7_pboole _let_3 _let_2 (tptp.u3_msualg_1 A) _let_1) B))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (not (tptp.v2_msualg_1 A)) (tptp.l1_msualg_1 A)) (forall ((B $$unsorted)) (=> (tptp.l3_msualg_1 B A) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k9_msualg_2 A B C))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (tptp.m4_pboole C _let_2 (tptp.u4_msualg_1 A B)) (and (tptp.v3_msualg_2 _let_1 A B) (tptp.r2_pboole _let_2 C _let_1)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (not (tptp.v2_msualg_1 A)) (tptp.l1_msualg_1 A)) (forall ((B $$unsorted)) (=> (tptp.l3_msualg_1 B A) (forall ((C $$unsorted)) (=> (tptp.m4_pboole C (tptp.u1_struct_0 A) (tptp.u4_msualg_1 A B)) (=> (tptp.v3_msualg_2 C A B) (= (tptp.k10_msualg_2 A B C) (tptp.g3_msualg_1 A C (tptp.k4_msualg_2 A B C)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (not (tptp.v2_msualg_1 A)) (tptp.l1_msualg_1 A)) (forall ((B $$unsorted)) (=> (tptp.l3_msualg_1 B A) (forall ((C $$unsorted)) (=> (tptp.m1_msualg_2 C A B) (forall ((D $$unsorted)) (=> (tptp.m1_msualg_2 D A B) (forall ((E $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (tptp.v4_msualg_1 E A) (tptp.m1_msualg_2 E A B)) (= (= E (tptp.k11_msualg_2 A B C D)) (and (tptp.r6_pboole _let_1 (tptp.u4_msualg_1 A E) (tptp.k3_pboole _let_1 (tptp.u4_msualg_1 A C) (tptp.u4_msualg_1 A D))) (forall ((F $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m4_pboole F _let_1 (tptp.u4_msualg_1 A B)) (=> (tptp.r6_pboole _let_1 F (tptp.u4_msualg_1 A E)) (and (tptp.v3_msualg_2 F A B) (tptp.r6_pboole (tptp.u1_msualg_1 A) (tptp.u5_msualg_1 A E) (tptp.k4_msualg_2 A B F)))))))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (not (tptp.v2_msualg_1 A)) (tptp.l1_msualg_1 A)) (forall ((B $$unsorted)) (=> (tptp.l3_msualg_1 B A) (forall ((C $$unsorted)) (=> (tptp.m4_pboole C (tptp.u1_struct_0 A) (tptp.u4_msualg_1 A B)) (forall ((D $$unsorted)) (=> (and (tptp.v4_msualg_1 D A) (tptp.m1_msualg_2 D A B)) (= (= D (tptp.k12_msualg_2 A B C)) (and (tptp.m4_pboole C (tptp.u1_struct_0 A) (tptp.u4_msualg_1 A D)) (forall ((E $$unsorted)) (=> (tptp.m1_msualg_2 E A B) (=> (tptp.m4_pboole C (tptp.u1_struct_0 A) (tptp.u4_msualg_1 A E)) (tptp.m1_msualg_2 D A E)))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (not (tptp.v2_msualg_1 A)) (tptp.l1_msualg_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v4_msualg_1 B A) (tptp.l3_msualg_1 B A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u4_msualg_1 A B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (tptp.m4_pboole C _let_2 _let_1) (=> (tptp.r6_pboole _let_2 C _let_1) (= (tptp.k12_msualg_2 A B C) B)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (not (tptp.v2_msualg_1 A)) (tptp.l1_msualg_1 A)) (forall ((B $$unsorted)) (=> (tptp.l3_msualg_1 B A) (forall ((C $$unsorted)) (=> (and (tptp.v4_msualg_1 C A) (tptp.m1_msualg_2 C A B)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m4_pboole D _let_1 (tptp.u4_msualg_1 A B)) (=> (tptp.r6_pboole _let_1 D (tptp.u4_msualg_1 A C)) (= (tptp.k12_msualg_2 A B D) C))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (not (tptp.v2_msualg_1 A)) (tptp.l1_msualg_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v5_msualg_1 B A) (tptp.l3_msualg_1 B A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k12_msualg_2 A B (tptp.k2_msualg_2 A B)))) (=> (tptp.m1_msualg_2 C A B) (= (tptp.k11_msualg_2 A B _let_1 C) _let_1)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (not (tptp.v2_msualg_1 A)) (tptp.l1_msualg_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v5_msualg_1 B A) (tptp.l3_msualg_1 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_msualg_2 C A B) (forall ((D $$unsorted)) (=> (tptp.m1_msualg_2 D A B) (forall ((E $$unsorted)) (=> (and (tptp.v4_msualg_1 E A) (tptp.m1_msualg_2 E A B)) (= (= E (tptp.k13_msualg_2 A B C D)) (forall ((F $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m4_pboole F _let_1 (tptp.u4_msualg_1 A B)) (=> (tptp.r6_pboole _let_1 F (tptp.k2_pboole _let_1 (tptp.u4_msualg_1 A C) (tptp.u4_msualg_1 A D))) (= E (tptp.k12_msualg_2 A B F))))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (not (tptp.v2_msualg_1 A)) (tptp.l1_msualg_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v5_msualg_1 B A) (tptp.l3_msualg_1 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_msualg_2 C A B) (forall ((D $$unsorted)) (=> (tptp.m4_pboole D (tptp.u1_struct_0 A) (tptp.u4_msualg_1 A B)) (forall ((E $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m4_pboole E _let_1 (tptp.u4_msualg_1 A B)) (=> (tptp.r6_pboole _let_1 E (tptp.k2_pboole _let_1 D (tptp.u4_msualg_1 A C))) (= (tptp.k13_msualg_2 A B (tptp.k12_msualg_2 A B D) C) (tptp.k12_msualg_2 A B E)))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (not (tptp.v2_msualg_1 A)) (tptp.l1_msualg_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v5_msualg_1 B A) (tptp.l3_msualg_1 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_msualg_2 C A B) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k12_msualg_2 A B D))) (let ((_let_2 (tptp.u4_msualg_1 A B))) (let ((_let_3 (tptp.u1_struct_0 A))) (=> (tptp.m4_pboole D _let_3 _let_2) (=> (tptp.r6_pboole _let_3 D _let_2) (= (tptp.k13_msualg_2 A B _let_1 C) _let_1))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (not (tptp.v2_msualg_1 A)) (tptp.l1_msualg_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v5_msualg_1 B A) (tptp.l3_msualg_1 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_msualg_2 C A B) (forall ((D $$unsorted)) (=> (tptp.m1_msualg_2 D A B) (= (tptp.k13_msualg_2 A B C D) (tptp.k13_msualg_2 A B D C)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (not (tptp.v2_msualg_1 A)) (tptp.l1_msualg_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v5_msualg_1 B A) (tptp.l3_msualg_1 B A)) (forall ((C $$unsorted)) (=> (and (tptp.v4_msualg_1 C A) (tptp.m1_msualg_2 C A B)) (forall ((D $$unsorted)) (=> (and (tptp.v4_msualg_1 D A) (tptp.m1_msualg_2 D A B)) (= (tptp.k11_msualg_2 A B C (tptp.k13_msualg_2 A B C D)) C))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (not (tptp.v2_msualg_1 A)) (tptp.l1_msualg_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v5_msualg_1 B A) (tptp.l3_msualg_1 B A)) (forall ((C $$unsorted)) (=> (and (tptp.v4_msualg_1 C A) (tptp.m1_msualg_2 C A B)) (forall ((D $$unsorted)) (=> (and (tptp.v4_msualg_1 D A) (tptp.m1_msualg_2 D A B)) (= (tptp.k13_msualg_2 A B (tptp.k11_msualg_2 A B C D) D) D))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (not (tptp.v2_msualg_1 A)) (tptp.l1_msualg_1 A)) (forall ((B $$unsorted)) (=> (tptp.l3_msualg_1 B A) (forall ((C $$unsorted)) (= (= C (tptp.k14_msualg_2 A B)) (forall ((D $$unsorted)) (= (tptp.r2_hidden D C) (and (tptp.v4_msualg_1 D A) (tptp.m1_msualg_2 D A B)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (not (tptp.v2_msualg_1 A)) (tptp.l1_msualg_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v5_msualg_1 B A) (tptp.l3_msualg_1 B A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k14_msualg_2 A B))) (let ((_let_2 (tptp.k2_zfmisc_1 _let_1 _let_1))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.m2_relset_1 C _let_2 _let_1)) (= (= C (tptp.k15_msualg_2 A B)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k14_msualg_2 A B)) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.k14_msualg_2 A B)) (forall ((F $$unsorted)) (=> (and (tptp.v4_msualg_1 F A) (tptp.m1_msualg_2 F A B)) (forall ((G $$unsorted)) (let ((_let_1 (tptp.k14_msualg_2 A B))) (=> (and (tptp.v4_msualg_1 G A) (tptp.m1_msualg_2 G A B)) (=> (and (= D F) (= E G)) (= (tptp.k2_binop_1 _let_1 _let_1 _let_1 C D E) (tptp.k13_msualg_2 A B F G))))))))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (not (tptp.v2_msualg_1 A)) (tptp.l1_msualg_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v5_msualg_1 B A) (tptp.l3_msualg_1 B A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k14_msualg_2 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.k16_msualg_2 A B)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k14_msualg_2 A B)) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.k14_msualg_2 A B)) (forall ((F $$unsorted)) (=> (and (tptp.v4_msualg_1 F A) (tptp.m1_msualg_2 F A B)) (forall ((G $$unsorted)) (let ((_let_1 (tptp.k14_msualg_2 A B))) (=> (and (tptp.v4_msualg_1 G A) (tptp.m1_msualg_2 G A B)) (=> (and (= D F) (= E G)) (= (tptp.k2_binop_1 _let_1 _let_1 _let_1 C D E) (tptp.k11_msualg_2 A B F G))))))))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (not (tptp.v2_msualg_1 A)) (tptp.l1_msualg_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v5_msualg_1 B A) (tptp.l3_msualg_1 B A)) (tptp.v1_binop_1 (tptp.k15_msualg_2 A B) (tptp.k14_msualg_2 A B)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (not (tptp.v2_msualg_1 A)) (tptp.l1_msualg_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v5_msualg_1 B A) (tptp.l3_msualg_1 B A)) (tptp.v2_binop_1 (tptp.k15_msualg_2 A B) (tptp.k14_msualg_2 A B)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (not (tptp.v2_msualg_1 A)) (tptp.l1_msualg_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v5_msualg_1 B A) (tptp.l3_msualg_1 B A)) (tptp.v1_binop_1 (tptp.k16_msualg_2 A B) (tptp.k14_msualg_2 A B)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (not (tptp.v2_msualg_1 A)) (tptp.l1_msualg_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v5_msualg_1 B A) (tptp.l3_msualg_1 B A)) (tptp.v2_binop_1 (tptp.k16_msualg_2 A B) (tptp.k14_msualg_2 A B)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (not (tptp.v2_msualg_1 A)) (tptp.l1_msualg_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v5_msualg_1 B A) (tptp.l3_msualg_1 B A)) (= (tptp.k17_msualg_2 A B) (tptp.g3_lattices (tptp.k14_msualg_2 A B) (tptp.k15_msualg_2 A B) (tptp.k16_msualg_2 A B))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (not (tptp.v2_msualg_1 A)) (tptp.l1_msualg_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v5_msualg_1 B A) (tptp.l3_msualg_1 B A)) (tptp.v15_lattices (tptp.k17_msualg_2 A B)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (not (tptp.v2_msualg_1 A)) (tptp.l1_msualg_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v5_msualg_1 B A) (tptp.l3_msualg_1 B A)) (= (tptp.k5_lattices (tptp.k17_msualg_2 A B)) (tptp.k12_msualg_2 A B (tptp.k2_msualg_2 A B))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (not (tptp.v2_msualg_1 A)) (tptp.l1_msualg_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v5_msualg_1 B A) (tptp.l3_msualg_1 B A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u4_msualg_1 A B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (tptp.m4_pboole C _let_2 _let_1) (=> (tptp.r6_pboole _let_2 C _let_1) (= (tptp.k6_lattices (tptp.k17_msualg_2 A B)) (tptp.k12_msualg_2 A B C))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (not (tptp.v2_msualg_1 A)) (tptp.l1_msualg_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v4_msualg_1 B A) (tptp.v5_msualg_1 B A) (tptp.l3_msualg_1 B A)) (= (tptp.k6_lattices (tptp.k17_msualg_2 A B)) B))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (not (tptp.v2_msualg_1 A)) (tptp.l1_msualg_1 A)) (forall ((B $$unsorted)) (=> (tptp.l3_msualg_1 B A) (tptp.m1_msualg_2 (tptp.g3_msualg_1 A (tptp.u4_msualg_1 A B) (tptp.u5_msualg_1 A B)) A B))))) true (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (not (tptp.v2_msualg_1 A)) (tptp.l1_msualg_1 A)) (forall ((B $$unsorted)) (=> (tptp.l3_msualg_1 B A) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u4_msualg_1 A B))) (=> (tptp.m4_pboole C (tptp.u1_struct_0 A) _let_1) (tptp.r2_hidden _let_1 (tptp.k5_msualg_2 A B C))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (not (tptp.v2_msualg_1 A)) (tptp.l1_msualg_1 A)) (forall ((B $$unsorted)) (=> (tptp.l3_msualg_1 B A) (forall ((C $$unsorted)) (=> (tptp.m4_pboole C (tptp.u1_struct_0 A) (tptp.u4_msualg_1 A B)) (tptp.r1_tarski (tptp.k5_msualg_2 A B C) (tptp.k6_msualg_2 A B)))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (not (tptp.v2_msualg_1 A)) (tptp.l1_msualg_1 A) (tptp.l3_msualg_1 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_msualg_2 C A B) (tptp.l3_msualg_1 C A))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (not (tptp.v2_msualg_1 A)) (tptp.l1_msualg_1 A) (tptp.l3_msualg_1 B A)) (exists ((C $$unsorted)) (tptp.m1_msualg_2 C A B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (not (tptp.v2_msualg_1 A)) (tptp.l1_msualg_1 A) (tptp.l3_msualg_1 B A) (tptp.m1_subset_1 C (tptp.u1_struct_0 A))) (tptp.m1_subset_1 (tptp.k1_msualg_2 A B C) (tptp.k1_zfmisc_1 (tptp.k1_funct_1 (tptp.u4_msualg_1 A B) C))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (not (tptp.v2_msualg_1 A)) (tptp.l1_msualg_1 A) (tptp.l3_msualg_1 B A)) (tptp.m4_pboole (tptp.k2_msualg_2 A B) (tptp.u1_struct_0 A) (tptp.u4_msualg_1 A B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.u1_msualg_1 A))) (let ((_let_3 (tptp.k1_funct_1 (tptp.k7_pboole _let_2 _let_1 (tptp.u3_msualg_1 A) D) C))) (let ((_let_4 (tptp.k1_funct_1 (tptp.k7_pboole _let_2 (tptp.k3_finseq_2 _let_1) (tptp.u2_msualg_1 A) (tptp.k6_pboole _let_1 D)) C))) (let ((_let_5 (tptp.k3_msualg_2 A B C D))) (=> (and (not (tptp.v3_struct_0 A)) (not (tptp.v2_msualg_1 A)) (tptp.l1_msualg_1 A) (tptp.l3_msualg_1 B A) (tptp.m1_subset_1 C _let_2) (tptp.m4_pboole D _let_1 (tptp.u4_msualg_1 A B))) (and (tptp.v1_funct_1 _let_5) (tptp.v1_funct_2 _let_5 _let_4 _let_3) (tptp.m2_relset_1 _let_5 _let_4 _let_3))))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.u1_msualg_1 A))) (=> (and (not (tptp.v3_struct_0 A)) (not (tptp.v2_msualg_1 A)) (tptp.l1_msualg_1 A) (tptp.l3_msualg_1 B A) (tptp.m4_pboole C _let_1 (tptp.u4_msualg_1 A B))) (tptp.m3_pboole (tptp.k4_msualg_2 A B C) _let_2 (tptp.k7_pboole _let_2 (tptp.k3_finseq_2 _let_1) (tptp.u2_msualg_1 A) (tptp.k6_pboole _let_1 C)) (tptp.k7_pboole _let_2 _let_1 (tptp.u3_msualg_1 A) C)))))) true true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (not (tptp.v2_msualg_1 A)) (tptp.l1_msualg_1 A) (tptp.l3_msualg_1 B A) (tptp.m1_subset_1 C (tptp.k6_msualg_2 A B))) (tptp.m4_pboole (tptp.k7_msualg_2 A B C) (tptp.u1_struct_0 A) (tptp.u4_msualg_1 A B)))) true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.u4_msualg_1 A B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v3_struct_0 A)) (not (tptp.v2_msualg_1 A)) (tptp.l1_msualg_1 A) (tptp.l3_msualg_1 B A) (tptp.m4_pboole C _let_2 _let_1)) (tptp.m4_pboole (tptp.k9_msualg_2 A B C) _let_2 _let_1))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k10_msualg_2 A B C))) (=> (and (not (tptp.v3_struct_0 A)) (not (tptp.v2_msualg_1 A)) (tptp.l1_msualg_1 A) (tptp.l3_msualg_1 B A) (tptp.m4_pboole C (tptp.u1_struct_0 A) (tptp.u4_msualg_1 A B))) (and (tptp.v4_msualg_1 _let_1 A) (tptp.m1_msualg_2 _let_1 A B))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k11_msualg_2 A B C D))) (=> (and (not (tptp.v3_struct_0 A)) (not (tptp.v2_msualg_1 A)) (tptp.l1_msualg_1 A) (tptp.l3_msualg_1 B A) (tptp.m1_msualg_2 C A B) (tptp.m1_msualg_2 D A B)) (and (tptp.v4_msualg_1 _let_1 A) (tptp.m1_msualg_2 _let_1 A B))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k12_msualg_2 A B C))) (=> (and (not (tptp.v3_struct_0 A)) (not (tptp.v2_msualg_1 A)) (tptp.l1_msualg_1 A) (tptp.l3_msualg_1 B A) (tptp.m4_pboole C (tptp.u1_struct_0 A) (tptp.u4_msualg_1 A B))) (and (tptp.v4_msualg_1 _let_1 A) (tptp.m1_msualg_2 _let_1 A B))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k13_msualg_2 A B C D))) (=> (and (not (tptp.v3_struct_0 A)) (not (tptp.v2_msualg_1 A)) (tptp.l1_msualg_1 A) (tptp.v5_msualg_1 B A) (tptp.l3_msualg_1 B A) (tptp.m1_msualg_2 C A B) (tptp.m1_msualg_2 D A B)) (and (tptp.v4_msualg_1 _let_1 A) (tptp.m1_msualg_2 _let_1 A B))))) true (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k14_msualg_2 A B))) (let ((_let_2 (tptp.k2_zfmisc_1 _let_1 _let_1))) (let ((_let_3 (tptp.k15_msualg_2 A B))) (=> (and (not (tptp.v3_struct_0 A)) (not (tptp.v2_msualg_1 A)) (tptp.l1_msualg_1 A) (tptp.v5_msualg_1 B A) (tptp.l3_msualg_1 B A)) (and (tptp.v1_funct_1 _let_3) (tptp.v1_funct_2 _let_3 _let_2 _let_1) (tptp.m2_relset_1 _let_3 _let_2 _let_1))))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k14_msualg_2 A B))) (let ((_let_2 (tptp.k2_zfmisc_1 _let_1 _let_1))) (let ((_let_3 (tptp.k16_msualg_2 A B))) (=> (and (not (tptp.v3_struct_0 A)) (not (tptp.v2_msualg_1 A)) (tptp.l1_msualg_1 A) (tptp.v5_msualg_1 B A) (tptp.l3_msualg_1 B A)) (and (tptp.v1_funct_1 _let_3) (tptp.v1_funct_2 _let_3 _let_2 _let_1) (tptp.m2_relset_1 _let_3 _let_2 _let_1))))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k17_msualg_2 A B))) (=> (and (not (tptp.v3_struct_0 A)) (not (tptp.v2_msualg_1 A)) (tptp.l1_msualg_1 A) (tptp.v5_msualg_1 B A) (tptp.l3_msualg_1 B A)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v3_lattices _let_1) (tptp.v10_lattices _let_1) (tptp.l3_lattices _let_1))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (not (tptp.v2_msualg_1 A)) (tptp.l1_msualg_1 A)) (forall ((B $$unsorted)) (=> (tptp.l3_msualg_1 B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (let ((_let_1 (= D (tptp.k1_msualg_2 A B C)))) (let ((_let_2 (tptp.k1_funct_1 (tptp.u4_msualg_1 A B) C))) (let ((_let_3 (= _let_2 tptp.k1_xboole_0))) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 _let_2)) (and (=> (not _let_3) (= _let_1 (exists ((E $$unsorted)) (and (not (tptp.v1_xboole_0 E)) (= E (tptp.k1_funct_1 (tptp.u4_msualg_1 A B) C)) (= D (tptp.a_4_0_msualg_2 A B C E)))))) (=> _let_3 (= _let_1 (= D tptp.k1_xboole_0))))))))))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (not (tptp.v2_msualg_1 B)) (tptp.l1_msualg_1 B) (tptp.l3_msualg_1 C B) (tptp.m1_subset_1 D (tptp.u1_struct_0 B)) (not (tptp.v1_xboole_0 E))) (= (tptp.r2_hidden A (tptp.a_4_0_msualg_2 B C D E)) (exists ((F $$unsorted)) (and (tptp.m1_subset_1 F E) (= A F) (exists ((G $$unsorted)) (and (tptp.m1_subset_1 G (tptp.u1_msualg_1 B)) (= (tptp.k1_funct_1 (tptp.u2_msualg_1 B) G) tptp.k1_xboole_0) (= (tptp.k1_funct_1 (tptp.u3_msualg_1 B) G) D) (tptp.r2_hidden F (tptp.k2_relat_1 (tptp.k5_msualg_1 B G C)))))))))) (exists ((A $$unsorted)) (and (not (tptp.v1_xboole_0 A)) (tptp.v1_fraenkel A) (tptp.v1_pralg_2 A))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k4_card_3 B))) (=> (and (tptp.v2_relat_1 B) (tptp.m1_pboole B A)) (and (not (tptp.v1_xboole_0 _let_1)) (tptp.v1_fraenkel _let_1) (tptp.v1_pralg_2 _let_1))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k11_pboole A B C))) (=> (and (tptp.v2_relat_1 B) (tptp.m1_pboole B A) (tptp.v2_relat_1 C) (tptp.m1_pboole C A)) (and (tptp.v1_relat_1 _let_1) (tptp.v2_relat_1 _let_1) (tptp.v1_funct_1 _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_msualg_1 A) (tptp.v5_msualg_1 B A) (tptp.l3_msualg_1 B A)) (not (tptp.v1_xboole_0 (tptp.k7_pralg_2 A B))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (not (tptp.v3_struct_0 B)) (tptp.l1_msualg_1 B) (tptp.m2_pralg_2 C A B)) (not (tptp.v1_xboole_0 (tptp.k8_pralg_2 A B C))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_msualg_1 A) (tptp.v5_msualg_1 B A) (tptp.l3_msualg_1 B A) (tptp.v5_msualg_1 C A) (tptp.l3_msualg_1 C A)) (tptp.v4_msualg_1 (tptp.k9_pralg_2 A B C) A))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k10_pralg_2 A B C D))) (=> (and (not (tptp.v3_struct_0 B)) (tptp.l1_msualg_1 B) (tptp.m1_subset_1 C (tptp.u1_struct_0 B)) (tptp.m2_pralg_2 D A B)) (and (tptp.v1_relat_1 _let_1) (tptp.v2_relat_1 _let_1) (tptp.v1_funct_1 _let_1))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k11_pralg_2 A B C))) (=> (and (not (tptp.v3_struct_0 B)) (tptp.l1_msualg_1 B) (tptp.m2_pralg_2 C A B)) (and (tptp.v1_relat_1 _let_1) (tptp.v2_relat_1 _let_1) (not (tptp.v3_relat_1 _let_1)) (tptp.v1_funct_1 _let_1))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (not (tptp.v2_msualg_1 B)) (tptp.l1_msualg_1 B) (tptp.m2_pralg_2 C A B)) (tptp.v4_msualg_1 (tptp.k15_pralg_2 A B C) B))) (forall ((A $$unsorted)) (= (tptp.v1_pralg_2 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.r2_hidden B A) (tptp.r2_hidden C A)) (= (tptp.k1_relat_1 B) (tptp.k1_relat_1 C))))))))) (and (tptp.v1_fraenkel _let_17) (tptp.v1_pralg_2 _let_17)) (forall ((A $$unsorted)) (=> (and (tptp.v1_fraenkel A) (tptp.v1_pralg_2 A)) (forall ((B $$unsorted)) (let ((_let_1 (= B (tptp.k1_pralg_2 A)))) (let ((_let_2 (= A tptp.k1_xboole_0))) (and (=> (not _let_2) (= _let_1 (forall ((C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (=> (tptp.r2_hidden C A) (= B (tptp.k1_relat_1 C))))))) (=> _let_2 (= _let_1 (= B tptp.k1_xboole_0))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_fraenkel A) (tptp.v1_pralg_2 A)) (=> (= A (tptp.k1_tarski tptp.k1_xboole_0)) (= (tptp.k1_pralg_2 A) tptp.k1_xboole_0)))) true 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)) (= (= B (tptp.k2_pralg_2 A)) (and (forall ((C $$unsorted)) (= (tptp.r2_hidden C (tptp.k1_relat_1 B)) (exists ((D $$unsorted)) (and (tptp.v1_relat_1 D) (tptp.v1_funct_1 D) (tptp.r2_hidden D (tptp.k1_relat_1 A)) (= C (tptp.k10_funct_6 D)))))) (forall ((C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (=> (tptp.r2_hidden C (tptp.k1_relat_1 B)) (= (tptp.k1_funct_1 B C) (tptp.k1_funct_1 A (tptp.k10_funct_6 C)))))))))))) true true true true true (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (=> (= (tptp.k1_relat_1 A) (tptp.k1_tarski tptp.k1_xboole_0)) (= (tptp.k2_pralg_2 A) A)))) true (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_funcop_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_funcop_1 B) (tptp.m1_pboole B (tptp.k4_card_3 (tptp.k2_funct_6 A)))) (= (= B (tptp.k3_pralg_2 A)) (forall ((C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (=> (tptp.r2_hidden C (tptp.k4_card_3 (tptp.k2_funct_6 A))) (= (tptp.k1_funct_1 B C) (tptp.k15_pralg_1 A C)))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted) (C $$unsorted)) (=> (tptp.m1_pboole C A) (forall ((D $$unsorted)) (=> (tptp.m1_pboole D A) (forall ((E $$unsorted)) (=> (and (tptp.v1_funct_1 E) (tptp.v1_funct_2 E B A) (tptp.m2_relset_1 E B A)) (tptp.r6_pboole B (tptp.k7_pboole B A E (tptp.k11_pboole A C D)) (tptp.k11_pboole B (tptp.k7_pboole B A E C) (tptp.k7_pboole B A E D))))))))))) true (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted) (C $$unsorted)) (=> (and (tptp.v2_relat_1 C) (tptp.m1_pboole C A)) (forall ((D $$unsorted)) (=> (and (tptp.v2_relat_1 D) (tptp.m1_pboole D A)) (forall ((E $$unsorted)) (let ((_let_1 (tptp.k3_finseq_2 A))) (=> (and (tptp.v1_funct_1 E) (tptp.v1_funct_2 E B _let_1) (tptp.m2_relset_1 E B _let_1)) (forall ((F $$unsorted)) (=> (and (tptp.v1_funct_1 F) (tptp.v1_funct_2 F B A) (tptp.m2_relset_1 F B A)) (forall ((G $$unsorted) (H $$unsorted)) (let ((_let_1 (tptp.k1_funct_1 (tptp.k8_pboole B A F C) G))) (let ((_let_2 (tptp.k1_funct_1 (tptp.k8_pboole B (tptp.k3_finseq_2 A) E (tptp.k6_pboole A C)) G))) (=> (and (tptp.v1_funct_1 H) (tptp.v1_funct_2 H _let_2 _let_1) (tptp.m2_relset_1 H _let_2 _let_1)) (forall ((I $$unsorted)) (let ((_let_1 (tptp.k1_funct_1 (tptp.k8_pboole B A F D) G))) (let ((_let_2 (tptp.k1_funct_1 (tptp.k8_pboole B (tptp.k3_finseq_2 A) E (tptp.k6_pboole A D)) G))) (=> (and (tptp.v1_funct_1 I) (tptp.v1_funct_2 I _let_2 _let_1) (tptp.m2_relset_1 I _let_2 _let_1)) (=> (tptp.r2_hidden G B) (forall ((J $$unsorted)) (let ((_let_1 (tptp.k11_pboole A C D))) (let ((_let_2 (tptp.k1_funct_1 (tptp.k8_pboole B A F _let_1) G))) (let ((_let_3 (tptp.k1_funct_1 (tptp.k8_pboole B (tptp.k3_finseq_2 A) E (tptp.k6_pboole A _let_1)) G))) (=> (and (tptp.v1_funct_1 J) (tptp.v1_funct_2 J _let_3 _let_2) (tptp.m2_relset_1 J _let_3 _let_2)) (= (= J (tptp.k4_pralg_2 A B C D E F G H I)) (forall ((K $$unsorted)) (=> (and (tptp.v1_relat_1 K) (tptp.v1_funct_1 K)) (=> (tptp.r2_hidden K (tptp.k1_funct_1 (tptp.k8_pboole B (tptp.k3_finseq_2 A) E (tptp.k6_pboole A (tptp.k11_pboole A C D))) G)) (= (tptp.k1_funct_1 J K) (tptp.k4_tarski (tptp.k1_funct_1 H (tptp.k15_mcart_1 K)) (tptp.k1_funct_1 I (tptp.k16_mcart_1 K))))))))))))))))))))))))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted) (C $$unsorted)) (=> (and (tptp.v2_relat_1 C) (tptp.m1_pboole C A)) (forall ((D $$unsorted)) (=> (and (tptp.v2_relat_1 D) (tptp.m1_pboole D A)) (forall ((E $$unsorted)) (let ((_let_1 (tptp.k3_finseq_2 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 $$unsorted)) (=> (and (tptp.v1_funct_1 F) (tptp.v1_funct_2 F B A) (tptp.m2_relset_1 F B A)) (forall ((G $$unsorted)) (=> (tptp.m3_pboole G B (tptp.k8_pboole B (tptp.k3_finseq_2 A) E (tptp.k6_pboole A C)) (tptp.k8_pboole B A F C)) (forall ((H $$unsorted)) (=> (tptp.m3_pboole H B (tptp.k8_pboole B (tptp.k3_finseq_2 A) E (tptp.k6_pboole A D)) (tptp.k8_pboole B A F D)) (forall ((I $$unsorted)) (let ((_let_1 (tptp.k11_pboole A C D))) (=> (tptp.m3_pboole I B (tptp.k8_pboole B (tptp.k3_finseq_2 A) E (tptp.k6_pboole A _let_1)) (tptp.k8_pboole B A F _let_1)) (= (= I (tptp.k5_pralg_2 A B C D E F G H)) (forall ((J $$unsorted)) (=> (tptp.r2_hidden J B) (forall ((K $$unsorted)) (let ((_let_1 (tptp.k1_funct_1 (tptp.k8_pboole B A F C) J))) (let ((_let_2 (tptp.k1_funct_1 (tptp.k8_pboole B (tptp.k3_finseq_2 A) E (tptp.k6_pboole A C)) J))) (=> (and (tptp.v1_funct_1 K) (tptp.v1_funct_2 K _let_2 _let_1) (tptp.m2_relset_1 K _let_2 _let_1)) (forall ((L $$unsorted)) (let ((_let_1 (tptp.k1_funct_1 (tptp.k8_pboole B A F D) J))) (let ((_let_2 (tptp.k1_funct_1 (tptp.k8_pboole B (tptp.k3_finseq_2 A) E (tptp.k6_pboole A D)) J))) (=> (and (tptp.v1_funct_1 L) (tptp.v1_funct_2 L _let_2 _let_1) (tptp.m2_relset_1 L _let_2 _let_1)) (=> (and (= K (tptp.k1_funct_1 G J)) (= L (tptp.k1_funct_1 H J))) (= (tptp.k1_funct_1 I J) (tptp.k4_pralg_2 A B C D E F J K L)))))))))))))))))))))))))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.l1_msualg_1 B)) (forall ((C $$unsorted)) (=> (tptp.m1_pboole C A) (= (tptp.m2_pralg_2 C A B) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k1_funct_1 C D))) (=> (tptp.r2_hidden D A) (and (tptp.v5_msualg_1 _let_1 B) (tptp.l3_msualg_1 _let_1 B)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_msualg_1 A)) (forall ((B $$unsorted)) (=> (tptp.l3_msualg_1 B A) (= (tptp.k7_pralg_2 A B) (tptp.k3_tarski (tptp.k2_relat_1 (tptp.u4_msualg_1 A B)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (not (tptp.v2_msualg_1 A)) (tptp.l1_msualg_1 A)) (forall ((B $$unsorted)) (=> (tptp.l3_msualg_1 B A) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u4_msualg_1 A B))) (let ((_let_2 (tptp.k1_msualg_1 A C))) (let ((_let_3 (tptp.k5_relat_1 _let_2 _let_1))) (=> (tptp.m1_subset_1 C (tptp.u1_msualg_1 A)) (and (= (tptp.k3_msualg_1 A C B) (tptp.k4_card_3 _let_3)) (= (tptp.k1_relat_1 _let_3) (tptp.k1_relat_1 _let_2)) (= (tptp.k4_msualg_1 A C B) (tptp.k1_funct_1 _let_1 (tptp.k2_msualg_1 A C))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (not (tptp.v2_msualg_1 A)) (tptp.l1_msualg_1 A)) (forall ((B $$unsorted)) (=> (tptp.l3_msualg_1 B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_msualg_1 A)) (=> (= (tptp.k1_msualg_1 A C) tptp.k1_xboole_0) (= (tptp.k3_msualg_1 A C B) (tptp.k1_tarski tptp.k1_xboole_0))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_msualg_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v5_msualg_1 B A) (tptp.l3_msualg_1 B A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u4_msualg_1 A C))) (let ((_let_2 (tptp.u4_msualg_1 A B))) (let ((_let_3 (tptp.u1_struct_0 A))) (=> (and (tptp.v5_msualg_1 C A) (tptp.l3_msualg_1 C A)) (= (tptp.k9_pralg_2 A B C) (tptp.g3_msualg_1 A (tptp.k11_pboole _let_3 _let_2 _let_1) (tptp.k5_pralg_2 _let_3 (tptp.u1_msualg_1 A) _let_2 _let_1 (tptp.u2_msualg_1 A) (tptp.u3_msualg_1 A) (tptp.u5_msualg_1 A B) (tptp.u5_msualg_1 A C))))))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.l1_msualg_1 B)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 B)) (forall ((D $$unsorted)) (=> (tptp.m2_pralg_2 D A B) (forall ((E $$unsorted)) (let ((_let_1 (= E (tptp.k10_pralg_2 A B C D)))) (let ((_let_2 (= A tptp.k1_xboole_0))) (=> (tptp.m1_pboole E A) (and (=> (not _let_2) (= _let_1 (forall ((F $$unsorted)) (not (and (tptp.r2_hidden F A) (forall ((G $$unsorted)) (=> (tptp.l3_msualg_1 G B) (not (and (= G (tptp.k1_funct_1 D F)) (= (tptp.k1_funct_1 E F) (tptp.k1_funct_1 (tptp.u4_msualg_1 B G) C))))))))))) (=> _let_2 (= _let_1 (= E tptp.k1_xboole_0)))))))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.l1_msualg_1 B)) (forall ((C $$unsorted)) (=> (tptp.m2_pralg_2 C A B) (forall ((D $$unsorted)) (=> (tptp.m1_pboole D (tptp.u1_struct_0 B)) (= (= D (tptp.k11_pralg_2 A B C)) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.u1_struct_0 B)) (= (tptp.k1_funct_1 D E) (tptp.k4_card_3 (tptp.k10_pralg_2 A B E C)))))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.l1_msualg_1 B)) (forall ((C $$unsorted)) (=> (tptp.m2_pralg_2 C A B) (forall ((D $$unsorted)) (let ((_let_1 (= D (tptp.k12_pralg_2 A B C)))) (let ((_let_2 (= A tptp.k1_xboole_0))) (=> (and (tptp.v1_funcop_1 D) (tptp.m1_pboole D A)) (and (=> (not _let_2) (= _let_1 (forall ((E $$unsorted)) (not (and (tptp.r2_hidden E A) (forall ((F $$unsorted)) (=> (tptp.l3_msualg_1 F B) (not (and (= F (tptp.k1_funct_1 C E)) (= (tptp.k1_funct_1 D E) (tptp.u5_msualg_1 B F))))))))))) (=> _let_2 (= _let_1 (= D tptp.k1_xboole_0)))))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.l1_msualg_1 B)) (forall ((C $$unsorted)) (=> (tptp.m2_pralg_2 C A B) (= (tptp.k1_relat_1 (tptp.k4_funct_5 (tptp.k12_pralg_2 A B C))) (tptp.k2_zfmisc_1 A (tptp.u1_msualg_1 B))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (not (tptp.v2_msualg_1 B)) (tptp.l1_msualg_1 B)) (forall ((C $$unsorted)) (=> (tptp.m2_pralg_2 C A B) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k12_pralg_2 A B C))) (let ((_let_2 (tptp.u1_msualg_1 B))) (=> (tptp.m1_subset_1 D _let_2) (tptp.r2_hidden (tptp.k10_funct_6 _let_1) (tptp.k1_funct_2 _let_2 (tptp.k1_funct_2 A (tptp.k2_relat_1 (tptp.k4_funct_5 _let_1))))))))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (not (tptp.v2_msualg_1 B)) (tptp.l1_msualg_1 B)) (forall ((C $$unsorted)) (=> (tptp.m2_pralg_2 C A B) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_msualg_1 B)) (= (tptp.k13_pralg_2 A B C D) (tptp.k1_funct_1 (tptp.k10_funct_6 (tptp.k12_pralg_2 A B C)) D)))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B A) (forall ((C $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (not (tptp.v2_msualg_1 C)) (tptp.l1_msualg_1 C)) (forall ((D $$unsorted)) (=> (tptp.m2_pralg_2 D A C) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.u1_msualg_1 C)) (= (tptp.k1_funct_1 (tptp.k13_pralg_2 A C D E) B) (tptp.k5_msualg_1 C E (tptp.k6_pralg_2 A C D B))))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (not (tptp.v2_msualg_1 B)) (tptp.l1_msualg_1 B)) (forall ((C $$unsorted)) (=> (tptp.m2_pralg_2 C A B) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_msualg_1 B)) (forall ((E $$unsorted)) (=> (tptp.r2_hidden E (tptp.k2_relat_1 (tptp.k3_pralg_2 (tptp.k13_pralg_2 A B C D)))) (and (tptp.v1_relat_1 E) (tptp.v1_funct_1 E)))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (not (tptp.v2_msualg_1 B)) (tptp.l1_msualg_1 B)) (forall ((C $$unsorted)) (=> (tptp.m2_pralg_2 C A B) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_msualg_1 B)) (forall ((E $$unsorted)) (=> (and (tptp.v1_relat_1 E) (tptp.v1_funct_1 E)) (=> (tptp.r2_hidden E (tptp.k2_relat_1 (tptp.k3_pralg_2 (tptp.k13_pralg_2 A B C D)))) (and (= (tptp.k1_relat_1 E) A) (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F A) (tptp.r2_hidden (tptp.k1_funct_1 E F) (tptp.k4_msualg_1 B D (tptp.k6_pralg_2 A B C F))))))))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (not (tptp.v2_msualg_1 B)) (tptp.l1_msualg_1 B)) (forall ((C $$unsorted)) (=> (tptp.m2_pralg_2 C A B) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_msualg_1 B)) (forall ((E $$unsorted)) (=> (and (tptp.v1_relat_1 E) (tptp.v1_funct_1 E)) (=> (tptp.r2_hidden E (tptp.k1_relat_1 (tptp.k3_pralg_2 (tptp.k13_pralg_2 A B C D)))) (and (= (tptp.k1_relat_1 E) A) (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F A) (tptp.r2_hidden (tptp.k1_funct_1 E F) (tptp.k3_msualg_1 B D (tptp.k6_pralg_2 A B C F))))) (tptp.r1_tarski (tptp.k2_relat_1 E) (tptp.k1_fraenkel (tptp.k1_relat_1 (tptp.k1_msualg_1 B D)) (tptp.k8_pralg_2 A B C))))))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (not (tptp.v2_msualg_1 B)) (tptp.l1_msualg_1 B)) (forall ((C $$unsorted)) (=> (tptp.m2_pralg_2 C A B) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_msualg_1 B)) (and (= (tptp.k1_relat_1 (tptp.k2_funct_6 (tptp.k13_pralg_2 A B C D))) A) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E A) (= (tptp.k1_funct_1 (tptp.k2_funct_6 (tptp.k13_pralg_2 A B C D)) E) (tptp.k3_msualg_1 B D (tptp.k6_pralg_2 A B C E)))))))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (not (tptp.v2_msualg_1 B)) (tptp.l1_msualg_1 B)) (forall ((C $$unsorted)) (=> (tptp.m2_pralg_2 C A B) (forall ((D $$unsorted)) (let ((_let_1 (= D (tptp.k14_pralg_2 A B C)))) (let ((_let_2 (= A tptp.k1_xboole_0))) (let ((_let_3 (tptp.k11_pralg_2 A B C))) (let ((_let_4 (tptp.u1_struct_0 B))) (let ((_let_5 (tptp.u1_msualg_1 B))) (=> (tptp.m3_pboole D _let_5 (tptp.k8_pboole _let_5 (tptp.k3_finseq_2 _let_4) (tptp.u2_msualg_1 B) (tptp.k6_pboole _let_4 _let_3)) (tptp.k8_pboole _let_5 _let_4 (tptp.u3_msualg_1 B) _let_3)) (and (=> (not _let_2) (= _let_1 (forall ((E $$unsorted)) (let ((_let_1 (tptp.k13_pralg_2 A B C E))) (=> (tptp.m1_subset_1 E (tptp.u1_msualg_1 B)) (= (tptp.k1_funct_1 D E) (tptp.k1_cqc_lang (tptp.k1_msualg_1 B E) tptp.k1_xboole_0 (tptp.k10_funct_6 _let_1) (tptp.k2_pralg_2 (tptp.k3_pralg_2 _let_1))))))))) (=> _let_2 _let_1))))))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (not (tptp.v2_msualg_1 B)) (tptp.l1_msualg_1 B)) (forall ((C $$unsorted)) (=> (tptp.m2_pralg_2 C A B) (= (tptp.k15_pralg_2 A B C) (tptp.g3_msualg_1 B (tptp.k11_pralg_2 A B C) (tptp.k14_pralg_2 A B C))))))) true (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (not (tptp.v2_msualg_1 B)) (tptp.l1_msualg_1 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k15_pralg_2 A B C))) (=> (tptp.m2_pralg_2 C A B) (and (tptp.r6_pboole (tptp.u1_struct_0 B) (tptp.u4_msualg_1 B _let_1) (tptp.k11_pralg_2 A B C)) (tptp.r6_pboole (tptp.u1_msualg_1 B) (tptp.u5_msualg_1 B _let_1) (tptp.k14_pralg_2 A B C)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v1_fraenkel A) (tptp.v1_pralg_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_pralg_2 B A) (tptp.m1_pboole B (tptp.k1_pralg_2 A)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v1_fraenkel A) (tptp.v1_pralg_2 A)) (exists ((B $$unsorted)) (tptp.m1_pralg_2 B A)))) (forall ((A $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v1_fraenkel A) (tptp.v1_pralg_2 A)) (forall ((B $$unsorted)) (= (tptp.m1_pralg_2 B A) (tptp.m1_subset_1 B A))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.l1_msualg_1 B)) (forall ((C $$unsorted)) (=> (tptp.m2_pralg_2 C A B) (tptp.m1_pboole C A))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.l1_msualg_1 B)) (exists ((C $$unsorted)) (tptp.m2_pralg_2 C A B)))) true (forall ((A $$unsorted)) (let ((_let_1 (tptp.k2_pralg_2 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 $$unsorted)) (let ((_let_1 (tptp.k3_pralg_2 A))) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_funcop_1 A)) (and (tptp.v1_funcop_1 _let_1) (tptp.m1_pboole _let_1 (tptp.k4_card_3 (tptp.k2_funct_6 A))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_funcop_1 A)) (= (tptp.k3_pralg_2 A) (tptp.k7_funct_6 A)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted) (G $$unsorted) (H $$unsorted) (I $$unsorted)) (let ((_let_1 (tptp.k11_pboole A C D))) (let ((_let_2 (tptp.k1_funct_1 (tptp.k8_pboole B A F _let_1) G))) (let ((_let_3 (tptp.k3_finseq_2 A))) (let ((_let_4 (tptp.k1_funct_1 (tptp.k8_pboole B _let_3 E (tptp.k6_pboole A _let_1)) G))) (let ((_let_5 (tptp.k4_pralg_2 A B C D E F G H I))) (let ((_let_6 (tptp.k1_funct_1 (tptp.k8_pboole B A F D) G))) (let ((_let_7 (tptp.k1_funct_1 (tptp.k8_pboole B _let_3 E (tptp.k6_pboole A D)) G))) (let ((_let_8 (tptp.k1_funct_1 (tptp.k8_pboole B A F C) G))) (let ((_let_9 (tptp.k1_funct_1 (tptp.k8_pboole B _let_3 E (tptp.k6_pboole A C)) G))) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v2_relat_1 C) (tptp.m1_pboole C A) (tptp.v2_relat_1 D) (tptp.m1_pboole D A) (tptp.v1_funct_1 E) (tptp.v1_funct_2 E B _let_3) (tptp.m1_relset_1 E B _let_3) (tptp.v1_funct_1 F) (tptp.v1_funct_2 F B A) (tptp.m1_relset_1 F B A) (tptp.v1_funct_1 H) (tptp.v1_funct_2 H _let_9 _let_8) (tptp.m1_relset_1 H _let_9 _let_8) (tptp.v1_funct_1 I) (tptp.v1_funct_2 I _let_7 _let_6) (tptp.m1_relset_1 I _let_7 _let_6)) (and (tptp.v1_funct_1 _let_5) (tptp.v1_funct_2 _let_5 _let_4 _let_2) (tptp.m2_relset_1 _let_5 _let_4 _let_2))))))))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted) (G $$unsorted) (H $$unsorted)) (let ((_let_1 (tptp.k11_pboole A C D))) (let ((_let_2 (tptp.k3_finseq_2 A))) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v2_relat_1 C) (tptp.m1_pboole C A) (tptp.v2_relat_1 D) (tptp.m1_pboole D A) (tptp.v1_funct_1 E) (tptp.v1_funct_2 E B _let_2) (tptp.m1_relset_1 E B _let_2) (tptp.v1_funct_1 F) (tptp.v1_funct_2 F B A) (tptp.m1_relset_1 F B A) (tptp.m3_pboole G B (tptp.k8_pboole B _let_2 E (tptp.k6_pboole A C)) (tptp.k8_pboole B A F C)) (tptp.m3_pboole H B (tptp.k8_pboole B _let_2 E (tptp.k6_pboole A D)) (tptp.k8_pboole B A F D))) (tptp.m3_pboole (tptp.k5_pralg_2 A B C D E F G H) B (tptp.k8_pboole B _let_2 E (tptp.k6_pboole A _let_1)) (tptp.k8_pboole B A F _let_1)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k6_pralg_2 A B C D))) (=> (and (not (tptp.v1_xboole_0 A)) (not (tptp.v3_struct_0 B)) (tptp.l1_msualg_1 B) (tptp.m2_pralg_2 C A B) (tptp.m1_subset_1 D A)) (and (tptp.v5_msualg_1 _let_1 B) (tptp.l3_msualg_1 _let_1 B))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (not (tptp.v3_struct_0 B)) (tptp.l1_msualg_1 B) (tptp.m2_pralg_2 C A B) (tptp.m1_subset_1 D A)) (= (tptp.k6_pralg_2 A B C D) (tptp.k1_funct_1 C D)))) true true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_msualg_1 A) (tptp.v5_msualg_1 B A) (tptp.l3_msualg_1 B A) (tptp.v5_msualg_1 C A) (tptp.l3_msualg_1 C A)) (tptp.l3_msualg_1 (tptp.k9_pralg_2 A B C) A))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.l1_msualg_1 B) (tptp.m1_subset_1 C (tptp.u1_struct_0 B)) (tptp.m2_pralg_2 D A B)) (tptp.m1_pboole (tptp.k10_pralg_2 A B C D) A))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.l1_msualg_1 B) (tptp.m2_pralg_2 C A B)) (tptp.m1_pboole (tptp.k11_pralg_2 A B C) (tptp.u1_struct_0 B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k12_pralg_2 A B C))) (=> (and (not (tptp.v3_struct_0 B)) (tptp.l1_msualg_1 B) (tptp.m2_pralg_2 C A B)) (and (tptp.v1_funcop_1 _let_1) (tptp.m1_pboole _let_1 A))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k13_pralg_2 A B C D))) (=> (and (not (tptp.v3_struct_0 B)) (not (tptp.v2_msualg_1 B)) (tptp.l1_msualg_1 B) (tptp.m2_pralg_2 C A B) (tptp.m1_subset_1 D (tptp.u1_msualg_1 B))) (and (tptp.v1_funcop_1 _let_1) (tptp.m1_pboole _let_1 A))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k11_pralg_2 A B C))) (let ((_let_2 (tptp.u1_struct_0 B))) (let ((_let_3 (tptp.u1_msualg_1 B))) (=> (and (not (tptp.v3_struct_0 B)) (not (tptp.v2_msualg_1 B)) (tptp.l1_msualg_1 B) (tptp.m2_pralg_2 C A B)) (tptp.m3_pboole (tptp.k14_pralg_2 A B C) _let_3 (tptp.k8_pboole _let_3 (tptp.k3_finseq_2 _let_2) (tptp.u2_msualg_1 B) (tptp.k6_pboole _let_2 _let_1)) (tptp.k8_pboole _let_3 _let_2 (tptp.u3_msualg_1 B) _let_1))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (not (tptp.v2_msualg_1 B)) (tptp.l1_msualg_1 B) (tptp.m2_pralg_2 C A B)) (tptp.l3_msualg_1 (tptp.k15_pralg_2 A B C) B))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.l1_msualg_1 B)) (forall ((C $$unsorted)) (=> (tptp.m2_pralg_2 C A B) (= (tptp.k8_pralg_2 A B C) (tptp.k3_tarski (tptp.a_3_0_pralg_2 A B C))))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (not (tptp.v3_struct_0 C)) (tptp.l1_msualg_1 C) (tptp.m2_pralg_2 D B C)) (= (tptp.r2_hidden A (tptp.a_3_0_pralg_2 B C D)) (exists ((E $$unsorted)) (and (tptp.m1_subset_1 E B) (= A (tptp.k7_pralg_2 C (tptp.k6_pralg_2 B C D E)))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k3_t_0topsp A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v2_pre_topc _let_1))))) (exists ((A $$unsorted)) (and (tptp.l1_pre_topc A) (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.v2_t_0topsp A))) (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.m2_relset_1 D A B) (=> (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E A) (forall ((F $$unsorted)) (let ((_let_1 (tptp.k4_tarski E F))) (=> (tptp.m1_subset_1 F B) (= (tptp.r2_hidden _let_1 C) (tptp.r2_hidden _let_1 D))))))) (= C D)))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C A B) (tptp.m2_relset_1 C A B)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 A)) (=> (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E A) (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F A) (=> (and (tptp.r2_hidden E D) (= (tptp.k8_funct_2 A B C E) (tptp.k8_funct_2 A B C F))) (tptp.r2_hidden F D)))))) (= (tptp.k3_funct_2 A B C (tptp.k2_funct_2 A B C D)) D)))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (forall ((B $$unsorted)) (=> (tptp.l1_pre_topc B) (= (tptp.r1_t_0topsp A B) (exists ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.m2_relset_1 C _let_2 _let_1) (tptp.v3_tops_2 C A B)))))))))) (forall ((A $$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.v1_t_0topsp C A B) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (tptp.v3_pre_topc D A) (tptp.v3_pre_topc (tptp.k4_pre_topc A B C D) B))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (tptp.v3_relat_2 B) (tptp.v8_relat_2 B) (tptp.v1_partfun1 B _let_1 _let_1) (tptp.m2_relset_1 B _let_1 _let_1)) (= (= B (tptp.k1_t_0topsp A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (= (tptp.r2_hidden (tptp.k4_tarski C D) B) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (tptp.v3_pre_topc E A) (= (tptp.r2_hidden C E) (tptp.r2_hidden D E)))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_pre_topc A)) (= (tptp.k2_t_0topsp A) (tptp.k8_eqrel_1 (tptp.u1_struct_0 A) (tptp.k1_t_0topsp A))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (= (tptp.k3_t_0topsp A) (tptp.k16_borsuk_1 A (tptp.k2_t_0topsp A))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (= (tptp.k4_t_0topsp A) (tptp.k17_borsuk_1 A (tptp.k2_t_0topsp A))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 B _let_1) (tptp.r2_hidden B (tptp.k8_funct_2 _let_1 (tptp.u1_struct_0 (tptp.k3_t_0topsp A)) (tptp.k4_t_0topsp A) B))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k4_t_0topsp A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (and (= (tptp.k1_relat_1 _let_1) (tptp.u1_struct_0 A)) (tptp.r1_tarski (tptp.k2_relat_1 _let_1) (tptp.u1_struct_0 (tptp.k3_t_0topsp 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.k3_t_0topsp A))) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 _let_1))) (= (tptp.v3_pre_topc B _let_1) (tptp.r2_hidden (tptp.k3_tarski B) (tptp.u1_pre_topc 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.k3_t_0topsp A))) (exists ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (and (tptp.m1_subset_1 C _let_1) (= B (tptp.k6_eqrel_1 _let_1 (tptp.k1_t_0topsp A) C))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 B _let_1) (= (tptp.k8_funct_2 _let_1 (tptp.u1_struct_0 (tptp.k3_t_0topsp A)) (tptp.k4_t_0topsp A) B) (tptp.k6_eqrel_1 _let_1 (tptp.k1_t_0topsp A) B))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k4_t_0topsp A))) (let ((_let_2 (tptp.u1_struct_0 (tptp.k3_t_0topsp A)))) (let ((_let_3 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 C _let_3) (= (= (tptp.k8_funct_2 _let_3 _let_2 _let_1 C) (tptp.k8_funct_2 _let_3 _let_2 _let_1 B)) (tptp.r2_hidden (tptp.k8_borsuk_1 A A C B) (tptp.k1_t_0topsp 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.v3_pre_topc B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k4_t_0topsp A))) (let ((_let_2 (tptp.u1_struct_0 (tptp.k3_t_0topsp A)))) (let ((_let_3 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 D _let_3) (=> (and (tptp.r2_hidden C B) (= (tptp.k8_funct_2 _let_3 _let_2 _let_1 C) (tptp.k8_funct_2 _let_3 _let_2 _let_1 D))) (tptp.r2_hidden D B)))))))))))))) (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.v3_pre_topc B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (tptp.r2_hidden C (tptp.k2_t_0topsp A)) (or (tptp.r1_xboole_0 C B) (tptp.r1_tarski C B)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (tptp.v1_t_0topsp (tptp.k4_t_0topsp A) A (tptp.k3_t_0topsp A)))) (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (= (tptp.v2_t_0topsp A) (or (tptp.v3_struct_0 A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (not (and (not (= B C)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.r2_hidden B D))) (let ((_let_2 (tptp.r2_hidden C D))) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (not (and (tptp.v3_pre_topc D A) (or (and _let_1 (not _let_2)) (and _let_2 (not _let_1))))))))))))))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k3_t_0topsp A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v2_pre_topc _let_1) (tptp.v2_t_0topsp _let_1) (tptp.l1_pre_topc _let_1))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_pre_topc B) (tptp.l1_pre_topc B)) (=> (exists ((C $$unsorted)) (let ((_let_1 (tptp.k3_t_0topsp A))) (let ((_let_2 (tptp.u1_struct_0 _let_1))) (let ((_let_3 (tptp.k3_t_0topsp B))) (let ((_let_4 (tptp.u1_struct_0 _let_3))) (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_4 _let_2) (tptp.m2_relset_1 C _let_4 _let_2) (tptp.v3_tops_2 C _let_3 _let_1) (tptp.r1_rfinseq (tptp.k4_t_0topsp A) (tptp.k7_funct_2 (tptp.u1_struct_0 B) _let_4 _let_2 (tptp.k4_t_0topsp B) C)))))))) (tptp.r1_t_0topsp 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.v2_pre_topc B) (tptp.v2_t_0topsp 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.u1_struct_0 A)) (forall ((E $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 E _let_2) (=> (tptp.r2_hidden (tptp.k8_borsuk_1 A A D E) (tptp.k1_t_0topsp A)) (= (tptp.k8_funct_2 _let_2 _let_1 C D) (tptp.k8_funct_2 _let_2 _let_1 C E))))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_pre_topc B) (tptp.v2_t_0topsp B) (tptp.l1_pre_topc B)) (forall ((C $$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 $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 D _let_1) (= (tptp.k4_pre_topc A B C (tptp.k6_eqrel_1 _let_1 (tptp.k1_t_0topsp A) D)) (tptp.k1_struct_0 B (tptp.k8_funct_2 _let_1 (tptp.u1_struct_0 B) C D)))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_pre_topc B) (tptp.v2_t_0topsp B) (tptp.l1_pre_topc B)) (forall ((C $$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)) (exists ((D $$unsorted)) (let ((_let_1 (tptp.k3_t_0topsp A))) (let ((_let_2 (tptp.u1_struct_0 B))) (let ((_let_3 (tptp.u1_struct_0 _let_1))) (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D _let_3 _let_2) (tptp.v5_pre_topc D _let_1 B) (tptp.m2_relset_1 D _let_3 _let_2) (= C (tptp.k4_borsuk_1 A _let_1 B (tptp.k4_t_0topsp A) D))))))))))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.k1_t_0topsp A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_pre_topc 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 $$unsorted)) (let ((_let_1 (tptp.k2_t_0topsp A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_pre_topc A)) (and (not (tptp.v1_xboole_0 _let_1)) (tptp.m1_eqrel_1 _let_1 (tptp.u1_struct_0 A)))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k3_t_0topsp A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (and (tptp.v2_pre_topc _let_1) (tptp.l1_pre_topc _let_1))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k3_t_0topsp A))) (let ((_let_2 (tptp.u1_struct_0 _let_1))) (let ((_let_3 (tptp.u1_struct_0 A))) (let ((_let_4 (tptp.k4_t_0topsp A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (and (tptp.v1_funct_1 _let_4) (tptp.v1_funct_2 _let_4 _let_3 _let_2) (tptp.v5_pre_topc _let_4 A _let_1) (tptp.m2_relset_1 _let_4 _let_3 _let_2)))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k3_t_0topsp A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (and (= (tptp.u1_struct_0 _let_1) (tptp.k2_t_0topsp A)) (= (tptp.u1_pre_topc _let_1) (tptp.a_1_0_t_0topsp A)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_pre_topc B) (tptp.l1_pre_topc B)) (= (tptp.r2_hidden A (tptp.a_1_0_t_0topsp B)) (exists ((C $$unsorted)) (and (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.k2_t_0topsp B))) (= A C) (tptp.r2_hidden (tptp.k3_tarski C) (tptp.u1_pre_topc B))))))) (exists ((A $$unsorted)) (and (tptp.l1_quantal1 A) (tptp.v2_quantal1 A))) (exists ((A $$unsorted)) (and (tptp.l1_quantal1 A) (not (tptp.v3_struct_0 A)))) (exists ((A $$unsorted)) (and (tptp.l2_quantal1 A) (tptp.v3_quantal1 A))) (exists ((A $$unsorted)) (and (tptp.l2_quantal1 A) (not (tptp.v3_struct_0 A)))) (forall ((A $$unsorted)) (let ((_let_1 (not (tptp.v3_struct_0 A)))) (=> (tptp.l1_group_1 A) (=> (and _let_1 (tptp.v6_quantal1 A)) (and _let_1 (tptp.v4_quantal1 A) (tptp.v5_quantal1 A)))))) (forall ((A $$unsorted)) (let ((_let_1 (not (tptp.v3_struct_0 A)))) (=> (tptp.l1_group_1 A) (=> (and _let_1 (tptp.v4_quantal1 A) (tptp.v5_quantal1 A)) (and _let_1 (tptp.v6_quantal1 A)))))) (exists ((A $$unsorted)) (and (tptp.l1_group_1 A) (not (tptp.v3_struct_0 A)) (tptp.v4_quantal1 A) (tptp.v5_quantal1 A) (tptp.v6_quantal1 A))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.g1_quantal1 A B C D))) (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) (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_quantal1 _let_1)))))) (exists ((A $$unsorted)) (and (tptp.l1_quantal1 A) (not (tptp.v3_struct_0 A)) (tptp.v4_lattices A) (tptp.v5_lattices A) (tptp.v6_lattices A) (tptp.v7_lattices A) (tptp.v8_lattices A) (tptp.v9_lattices A) (tptp.v10_lattices A) (tptp.v4_lattice3 A) (tptp.v2_group_1 A) (tptp.v4_group_1 A) (tptp.v7_group_1 A) (tptp.v4_quantal1 A) (tptp.v5_quantal1 A) (tptp.v6_quantal1 A) (tptp.v7_quantal1 A) (tptp.v8_quantal1 A))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (let ((_let_1 (tptp.g2_quantal1 A B C D E))) (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) (tptp.v1_funct_1 D) (tptp.v1_funct_2 D _let_2 A) (tptp.m1_relset_1 D _let_2 A) (tptp.m1_subset_1 E A)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v3_quantal1 _let_1)))))) (exists ((A $$unsorted)) (and (tptp.l2_quantal1 A) (not (tptp.v3_struct_0 A)) (tptp.v4_lattices A) (tptp.v5_lattices A) (tptp.v6_lattices A) (tptp.v7_lattices A) (tptp.v8_lattices A) (tptp.v9_lattices A) (tptp.v10_lattices A) (tptp.v4_lattice3 A))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.v4_lattice3 A))) (let ((_let_2 (tptp.v10_lattices A))) (let ((_let_3 (not (tptp.v3_struct_0 A)))) (=> (tptp.l2_quantal1 A) (=> (and _let_3 _let_2 _let_1 (tptp.v7_quantal1 A) (tptp.v8_quantal1 A)) (and _let_3 (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_2 _let_1 (tptp.v9_quantal1 A) (tptp.v10_quantal1 A)))))))) (exists ((A $$unsorted)) (and (tptp.l2_quantal1 A) (not (tptp.v3_struct_0 A)) (tptp.v4_lattices A) (tptp.v5_lattices A) (tptp.v6_lattices A) (tptp.v7_lattices A) (tptp.v8_lattices A) (tptp.v9_lattices A) (tptp.v10_lattices A) (tptp.v4_lattice3 A) (tptp.v2_group_1 A) (tptp.v4_group_1 A) (tptp.v7_group_1 A) (tptp.v4_quantal1 A) (tptp.v5_quantal1 A) (tptp.v6_quantal1 A) (tptp.v7_quantal1 A) (tptp.v8_quantal1 A) (tptp.v9_quantal1 A) (tptp.v10_quantal1 A))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (exists ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (and (tptp.m1_relset_1 B _let_1 _let_1) (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (not (tptp.v1_xboole_0 B)) (tptp.v1_funct_2 B _let_1 _let_1) (tptp.v1_partfun1 B _let_1 _let_1) (tptp.v12_quantal1 B A) (tptp.v13_quantal1 B A) (tptp.v14_quantal1 B A)))))) (exists ((A $$unsorted)) (and (tptp.l3_quantal1 A) (tptp.v19_quantal1 A))) (exists ((A $$unsorted)) (and (tptp.l3_quantal1 A) (not (tptp.v3_struct_0 A)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted)) (let ((_let_1 (tptp.g3_quantal1 A B C D E F))) (let ((_let_2 (tptp.k2_zfmisc_1 A A))) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_2 A) (tptp.m1_relset_1 B _let_2 A) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 A) (tptp.m1_relset_1 C _let_2 A) (tptp.v1_funct_1 D) (tptp.v1_funct_2 D _let_2 A) (tptp.m1_relset_1 D _let_2 A) (tptp.m1_subset_1 E A) (tptp.m1_subset_1 F A)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v19_quantal1 _let_1)))))) (exists ((A $$unsorted)) (and (tptp.l3_quantal1 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.v4_lattice3 A) (tptp.v2_group_1 A) (tptp.v4_group_1 A) (tptp.v7_group_1 A) (tptp.v7_quantal1 A) (tptp.v8_quantal1 A) (tptp.v9_quantal1 A) (tptp.v10_quantal1 A) (tptp.v19_quantal1 A) (tptp.v20_quantal1 A) (tptp.v21_quantal1 A))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.l3_lattices B)) (=> (= (tptp.g3_lattices (tptp.u1_struct_0 A) (tptp.u2_lattices A) (tptp.u1_lattices A)) (tptp.g3_lattices (tptp.u1_struct_0 B) (tptp.u2_lattices B) (tptp.u1_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.r1_lattices A C D))) (let ((_let_2 (tptp.r1_lattices B E F))) (=> (tptp.m1_subset_1 F (tptp.u1_struct_0 B)) (=> (and (= C E) (= D F)) (and (= (tptp.k1_lattices A C D) (tptp.k1_lattices B E F)) (= (tptp.k2_lattices A C D) (tptp.k2_lattices B E F)) (=> _let_1 _let_2) (=> _let_2 _let_1)))))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.l3_lattices B)) (=> (= (tptp.g3_lattices (tptp.u1_struct_0 A) (tptp.u2_lattices A) (tptp.u1_lattices A)) (tptp.g3_lattices (tptp.u1_struct_0 B) (tptp.u2_lattices B) (tptp.u1_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 B)) (forall ((E $$unsorted)) (let ((_let_1 (tptp.r4_lattice3 A C E))) (let ((_let_2 (tptp.r4_lattice3 B D E))) (let ((_let_3 (tptp.r3_lattice3 A C E))) (let ((_let_4 (tptp.r3_lattice3 B D E))) (=> (= C D) (and (=> _let_3 _let_4) (=> _let_4 _let_3) (=> _let_1 _let_2) (=> _let_2 _let_1))))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (tptp.v1_quantal1 B A) (forall ((C $$unsorted)) (=> (and (tptp.v1_finset_1 C) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 B))) (exists ((D $$unsorted)) (and (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (tptp.r1_lattices A (tptp.k15_lattice3 A C) D) (tptp.r2_hidden D B)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (not (and (tptp.v1_quantal1 B A) (tptp.v1_xboole_0 B))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_group_1 A)) (= (tptp.v4_quantal1 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)) (= (tptp.k1_group_1 A B C) B)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_group_1 A)) (= (tptp.v5_quantal1 A) (exists ((B $$unsorted)) (and (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (tptp.k1_group_1 A C B) B)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_group_1 A)) (= (tptp.v6_quantal1 A) (and (tptp.v4_quantal1 A) (tptp.v5_quantal1 A))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_quantal1 A)) (= (tptp.v9_quantal1 A) (forall ((B $$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_lattices A B C))) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (and (= (tptp.k4_monoid_0 A _let_1 D) (tptp.k1_lattices A (tptp.k4_monoid_0 A B D) (tptp.k4_monoid_0 A C D))) (= (tptp.k4_monoid_0 A D _let_1) (tptp.k1_lattices A (tptp.k4_monoid_0 A D B) (tptp.k4_monoid_0 A D C)))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_quantal1 A)) (=> (= (tptp.g3_lattices (tptp.u1_struct_0 A) (tptp.u2_lattices A) (tptp.u1_lattices A)) (tptp.k1_lattice3 tptp.k1_xboole_0)) (and (tptp.v4_group_1 A) (tptp.v7_group_1 A) (tptp.v2_group_1 A) (tptp.v6_quantal1 A) (tptp.v4_lattice3 A) (tptp.v7_quantal1 A) (tptp.v8_quantal1 A) (tptp.v10_lattices A))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v4_lattice3 A) (tptp.v7_quantal1 A) (tptp.v8_quantal1 A) (tptp.l1_quantal1 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 $$unsorted)) (let ((_let_1 (tptp.k3_lattices A B C))) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (and (= (tptp.k4_monoid_0 A _let_1 D) (tptp.k3_lattices A (tptp.k4_monoid_0 A B D) (tptp.k4_monoid_0 A C D))) (= (tptp.k4_monoid_0 A D _let_1) (tptp.k3_lattices A (tptp.k4_monoid_0 A D B) (tptp.k4_monoid_0 A D C))))))))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.l2_quantal1 A))) (let ((_let_2 (tptp.v4_group_1 A))) (let ((_let_3 (tptp.v2_group_1 A))) (let ((_let_4 (tptp.v4_lattice3 A))) (let ((_let_5 (tptp.v10_lattices A))) (let ((_let_6 (not (tptp.v3_struct_0 A)))) (=> (and _let_6 _let_3 _let_1) (=> (and _let_6 _let_5 _let_4 _let_2 (tptp.v7_quantal1 A) (tptp.v8_quantal1 A) (tptp.l1_quantal1 A)) (and _let_6 _let_5 _let_4 _let_3 _let_2 (tptp.v4_quantal1 A) (tptp.v6_quantal1 A) (tptp.v9_quantal1 A) (tptp.v10_quantal1 A) _let_1)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v4_lattice3 A) (tptp.v4_group_1 A) (tptp.v7_quantal1 A) (tptp.v8_quantal1 A) (tptp.l1_quantal1 A)) (forall ((B $$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_monoid_0 A B D) (tptp.k4_monoid_0 A C D)) (tptp.r3_lattices A (tptp.k4_monoid_0 A D B) (tptp.k4_monoid_0 A D C)))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v4_lattice3 A) (tptp.v4_group_1 A) (tptp.v7_quantal1 A) (tptp.v8_quantal1 A) (tptp.l1_quantal1 A)) (forall ((B $$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 $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.u1_struct_0 A)) (=> (and (tptp.r3_lattices A B C) (tptp.r3_lattices A D E)) (tptp.r3_lattices A (tptp.k4_monoid_0 A B D) (tptp.k4_monoid_0 A C E))))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (= (tptp.v11_quantal1 A) (= (tptp.k5_relat_1 A A) A)))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l3_lattices A)) (forall ((B $$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)) (= (tptp.v12_quantal1 B A) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 C _let_1) (tptp.r1_lattices A C (tptp.k8_funct_2 _let_1 _let_1 B C))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_1 _let_1) (tptp.m2_relset_1 B _let_1 _let_1)) (= (tptp.v13_quantal1 B A) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 C _let_1) (tptp.r1_lattices A (tptp.k8_funct_2 _let_1 _let_1 B C) C)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l3_lattices A)) (forall ((B $$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)) (= (tptp.v14_quantal1 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) (=> (tptp.r1_lattices A C D) (tptp.r1_lattices A (tptp.k8_funct_2 _let_1 _let_1 B C) (tptp.k8_funct_2 _let_1 _let_1 B D)))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_quantal1 A)) (forall ((B $$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)) (= (tptp.v16_quantal1 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) (tptp.r1_lattices A (tptp.k4_monoid_0 A (tptp.k8_funct_2 _let_1 _let_1 B C) (tptp.k8_funct_2 _let_1 _let_1 B D)) (tptp.k8_funct_2 _let_1 _let_1 B (tptp.k4_monoid_0 A C D)))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v4_lattice3 A) (tptp.v4_group_1 A) (tptp.v7_quantal1 A) (tptp.v8_quantal1 A) (tptp.l1_quantal1 A)) (forall ((B $$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_monoid_0 A B C) D) (tptp.r3_lattices A C (tptp.k2_quantal1 A B D))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v4_lattice3 A) (tptp.v4_group_1 A) (tptp.v7_quantal1 A) (tptp.v8_quantal1 A) (tptp.l1_quantal1 A)) (forall ((B $$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_monoid_0 A B C) D) (tptp.r3_lattices A B (tptp.k1_quantal1 A C D))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v4_lattice3 A) (tptp.v4_group_1 A) (tptp.v7_quantal1 A) (tptp.v8_quantal1 A) (tptp.l1_quantal1 A)) (forall ((B $$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 C D) (and (tptp.r3_lattices A (tptp.k1_quantal1 A D B) (tptp.k1_quantal1 A C B)) (tptp.r3_lattices A (tptp.k2_quantal1 A D B) (tptp.k2_quantal1 A C B)))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v4_lattice3 A) (tptp.v4_group_1 A) (tptp.v7_quantal1 A) (tptp.v8_quantal1 A) (tptp.l1_quantal1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_1 _let_1) (tptp.m2_relset_1 C _let_1 _let_1)) (=> (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 D _let_1) (= (tptp.k8_funct_2 _let_1 _let_1 C D) (tptp.k1_quantal1 A (tptp.k1_quantal1 A D B) B))))) (tptp.v14_quantal1 C A))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_quantal1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (= (tptp.v17_quantal1 B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (and (= (tptp.k2_quantal1 A (tptp.k1_quantal1 A C B) B) C) (= (tptp.k1_quantal1 A (tptp.k2_quantal1 A C B) B) C))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_quantal1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (= (tptp.v18_quantal1 B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (tptp.k1_quantal1 A C B) (tptp.k2_quantal1 A C B))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v4_lattice3 A) (tptp.v4_group_1 A) (tptp.v7_quantal1 A) (tptp.v8_quantal1 A) (tptp.l1_quantal1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (= (tptp.v18_quantal1 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 A (tptp.k4_monoid_0 A C D) B) (tptp.r3_lattices A (tptp.k4_monoid_0 A D C) B))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v4_lattice3 A) (tptp.v4_group_1 A) (tptp.v7_quantal1 A) (tptp.v8_quantal1 A) (tptp.l1_quantal1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (=> (tptp.v18_quantal1 B A) (and (tptp.r3_lattices A C (tptp.k1_quantal1 A (tptp.k1_quantal1 A C B) B)) (tptp.r3_lattices A C (tptp.k2_quantal1 A (tptp.k2_quantal1 A C B) B)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v4_lattice3 A) (tptp.v4_group_1 A) (tptp.v7_quantal1 A) (tptp.v8_quantal1 A) (tptp.l1_quantal1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k2_quantal1 A C B))) (let ((_let_2 (tptp.k1_quantal1 A C B))) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (=> (tptp.v18_quantal1 B A) (and (= _let_2 (tptp.k1_quantal1 A (tptp.k1_quantal1 A _let_2 B) B)) (= _let_1 (tptp.k2_quantal1 A (tptp.k2_quantal1 A _let_1 B) B)))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v4_lattice3 A) (tptp.v4_group_1 A) (tptp.v7_quantal1 A) (tptp.v8_quantal1 A) (tptp.l1_quantal1 A)) (forall ((B $$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.v18_quantal1 B A) (tptp.r3_lattices A (tptp.k4_monoid_0 A (tptp.k1_quantal1 A (tptp.k1_quantal1 A C B) B) (tptp.k1_quantal1 A (tptp.k1_quantal1 A D B) B)) (tptp.k1_quantal1 A (tptp.k1_quantal1 A (tptp.k4_monoid_0 A C D) B) B))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v4_lattice3 A) (tptp.v4_group_1 A) (tptp.v7_quantal1 A) (tptp.v8_quantal1 A) (tptp.l1_quantal1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.k3_binop_1 _let_1 (tptp.u1_group_1 A)))) (=> (tptp.m1_subset_1 B _let_1) (=> (tptp.v17_quantal1 B A) (and (tptp.v2_group_1 A) (= _let_2 (tptp.k1_quantal1 A B B)) (= _let_2 (tptp.k2_quantal1 A B B)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v4_lattice3 A) (tptp.v4_group_1 A) (tptp.v7_quantal1 A) (tptp.v8_quantal1 A) (tptp.l1_quantal1 A)) (forall ((B $$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.v17_quantal1 B A) (and (= (tptp.k1_quantal1 A C D) (tptp.k1_quantal1 A (tptp.k4_monoid_0 A C (tptp.k2_quantal1 A D B)) B)) (= (tptp.k2_quantal1 A C D) (tptp.k2_quantal1 A (tptp.k4_monoid_0 A (tptp.k1_quantal1 A D B) C) B)))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l3_quantal1 A)) (= (tptp.v20_quantal1 A) (tptp.v18_quantal1 (tptp.u1_quantal1 A) A)))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l3_quantal1 A)) (= (tptp.v21_quantal1 A) (tptp.v17_quantal1 (tptp.u1_quantal1 A) A)))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l3_quantal1 A)) (=> (= (tptp.g3_lattices (tptp.u1_struct_0 A) (tptp.u2_lattices A) (tptp.u1_lattices A)) (tptp.k1_lattice3 tptp.k1_xboole_0)) (and (tptp.v20_quantal1 A) (tptp.v21_quantal1 A))))) (forall ((A $$unsorted)) (=> (tptp.l3_quantal1 A) (= (tptp.k3_quantal1 A) (tptp.u1_quantal1 A)))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k3_quantal1 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l3_quantal1 A)) (= (tptp.k4_quantal1 A) (tptp.k1_quantal1 A _let_1 _let_1))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l3_quantal1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (= (tptp.k5_quantal1 A B) (tptp.k1_quantal1 A B (tptp.k3_quantal1 A))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l3_quantal1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_1 _let_1) (tptp.m2_relset_1 B _let_1 _let_1)) (= (= B (tptp.k6_quantal1 A)) (forall ((C $$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_quantal1 A C))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l3_quantal1 A)) (forall ((B $$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)) (= (tptp.k7_quantal1 A B) (tptp.k2_monoid_0 _let_1 B (tptp.k6_quantal1 A)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l3_quantal1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 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)) (= (tptp.k8_quantal1 A B) (tptp.k7_funct_2 _let_2 _let_1 _let_1 B (tptp.k6_quantal1 A))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v4_lattice3 A) (tptp.v2_group_1 A) (tptp.v4_group_1 A) (tptp.v7_quantal1 A) (tptp.v8_quantal1 A) (tptp.v20_quantal1 A) (tptp.v21_quantal1 A) (tptp.l3_quantal1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (= (tptp.k5_quantal1 A (tptp.k5_quantal1 A B)) B))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v4_lattice3 A) (tptp.v2_group_1 A) (tptp.v4_group_1 A) (tptp.v7_quantal1 A) (tptp.v8_quantal1 A) (tptp.v20_quantal1 A) (tptp.v21_quantal1 A) (tptp.l3_quantal1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (=> (tptp.r3_lattices A B C) (tptp.r3_lattices A (tptp.k5_quantal1 A C) (tptp.k5_quantal1 A B))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v4_lattice3 A) (tptp.v2_group_1 A) (tptp.v4_group_1 A) (tptp.v7_quantal1 A) (tptp.v8_quantal1 A) (tptp.v20_quantal1 A) (tptp.v21_quantal1 A) (tptp.l3_quantal1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k5_quantal1 A C))) (let ((_let_2 (tptp.k5_quantal1 A B))) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (and (= (tptp.k5_quantal1 A (tptp.k3_lattices A B C)) (tptp.k4_lattices A _let_2 _let_1)) (= (tptp.k5_quantal1 A (tptp.k4_lattices A B C)) (tptp.k3_lattices A _let_2 _let_1))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v4_lattice3 A) (tptp.v2_group_1 A) (tptp.v4_group_1 A) (tptp.v7_quantal1 A) (tptp.v8_quantal1 A) (tptp.v20_quantal1 A) (tptp.v21_quantal1 A) (tptp.l3_quantal1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (tptp.k9_quantal1 A B C) (tptp.k5_quantal1 A (tptp.k4_monoid_0 A (tptp.k5_quantal1 A B) (tptp.k5_quantal1 A C)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v4_lattice3 A) (tptp.v2_group_1 A) (tptp.v4_group_1 A) (tptp.v7_quantal1 A) (tptp.v8_quantal1 A) (tptp.v20_quantal1 A) (tptp.v21_quantal1 A) (tptp.l3_quantal1 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 $$unsorted)) (let ((_let_1 (tptp.k4_lattices A C D))) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (and (= (tptp.k9_quantal1 A B _let_1) (tptp.k4_lattices A (tptp.k9_quantal1 A B C) (tptp.k9_quantal1 A B D))) (= (tptp.k9_quantal1 A _let_1 B) (tptp.k4_lattices A (tptp.k9_quantal1 A C B) (tptp.k9_quantal1 A D B))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v4_lattice3 A) (tptp.v2_group_1 A) (tptp.v4_group_1 A) (tptp.v7_quantal1 A) (tptp.v8_quantal1 A) (tptp.v20_quantal1 A) (tptp.v21_quantal1 A) (tptp.l3_quantal1 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)) (=> (and (tptp.r3_lattices A B C) (tptp.r3_lattices A D E)) (tptp.r3_lattices A (tptp.k9_quantal1 A B D) (tptp.k9_quantal1 A C E))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v4_lattice3 A) (tptp.v2_group_1 A) (tptp.v4_group_1 A) (tptp.v7_quantal1 A) (tptp.v8_quantal1 A) (tptp.v20_quantal1 A) (tptp.v21_quantal1 A) (tptp.l3_quantal1 A)) (forall ((B $$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_quantal1 A (tptp.k9_quantal1 A B C) D) (tptp.k9_quantal1 A B (tptp.k9_quantal1 A C D))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v4_lattice3 A) (tptp.v2_group_1 A) (tptp.v4_group_1 A) (tptp.v7_quantal1 A) (tptp.v8_quantal1 A) (tptp.v20_quantal1 A) (tptp.v21_quantal1 A) (tptp.l3_quantal1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k4_quantal1 A))) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (and (= (tptp.k4_monoid_0 A B _let_1) B) (= (tptp.k4_monoid_0 A _let_1 B) B))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v4_lattice3 A) (tptp.v2_group_1 A) (tptp.v4_group_1 A) (tptp.v7_quantal1 A) (tptp.v8_quantal1 A) (tptp.v20_quantal1 A) (tptp.v21_quantal1 A) (tptp.l3_quantal1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k3_quantal1 A))) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (and (= (tptp.k9_quantal1 A B _let_1) B) (= (tptp.k9_quantal1 A _let_1 B) B))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v4_lattice3 A) (tptp.v4_group_1 A) (tptp.v7_quantal1 A) (tptp.v8_quantal1 A) (tptp.l1_quantal1 A)) (forall ((B $$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)) (not (and (tptp.v14_quantal1 B A) (tptp.v11_quantal1 B) (tptp.v15_quantal1 B A) (forall ((C $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.v10_lattices C) (tptp.v4_lattice3 C) (tptp.l3_lattices C)) (not (and (= (tptp.u1_struct_0 C) (tptp.k2_relat_1 B)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 C))) (= (tptp.k15_lattice3 C D) (tptp.k8_funct_2 _let_1 _let_1 B (tptp.k15_lattice3 A D))))))))))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_quantal1 A) (and (tptp.l3_lattices A) (tptp.l1_group_1 A)))) (exists ((A $$unsorted)) (tptp.l1_quantal1 A)) (forall ((A $$unsorted)) (=> (tptp.l2_quantal1 A) (and (tptp.l1_quantal1 A) (tptp.l1_vectsp_1 A)))) (exists ((A $$unsorted)) (tptp.l2_quantal1 A)) (forall ((A $$unsorted)) (=> (tptp.l3_quantal1 A) (tptp.l2_quantal1 A))) (exists ((A $$unsorted)) (tptp.l3_quantal1 A)) (forall ((A $$unsorted)) (=> (tptp.l1_quantal1 A) (=> (tptp.v2_quantal1 A) (= A (tptp.g1_quantal1 (tptp.u1_struct_0 A) (tptp.u2_lattices A) (tptp.u1_lattices A) (tptp.u1_group_1 A)))))) (forall ((A $$unsorted)) (=> (tptp.l2_quantal1 A) (=> (tptp.v3_quantal1 A) (= A (tptp.g2_quantal1 (tptp.u1_struct_0 A) (tptp.u2_lattices A) (tptp.u1_lattices A) (tptp.u1_group_1 A) (tptp.u1_vectsp_1 A)))))) (forall ((A $$unsorted)) (=> (tptp.l3_quantal1 A) (=> (tptp.v19_quantal1 A) (= A (tptp.g3_quantal1 (tptp.u1_struct_0 A) (tptp.u2_lattices A) (tptp.u1_lattices A) (tptp.u1_group_1 A) (tptp.u1_vectsp_1 A) (tptp.u1_quantal1 A)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_quantal1 A) (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (tptp.m1_subset_1 (tptp.k1_quantal1 A B C) _let_1)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_quantal1 A) (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (tptp.m1_subset_1 (tptp.k2_quantal1 A B C) _let_1)))) (forall ((A $$unsorted)) (=> (tptp.l3_quantal1 A) (tptp.m1_subset_1 (tptp.k3_quantal1 A) (tptp.u1_struct_0 A)))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l3_quantal1 A)) (tptp.m1_subset_1 (tptp.k4_quantal1 A) (tptp.u1_struct_0 A)))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l3_quantal1 A) (tptp.m1_subset_1 B _let_1)) (tptp.m1_subset_1 (tptp.k5_quantal1 A B) _let_1)))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.k6_quantal1 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l3_quantal1 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 A))) (let ((_let_2 (tptp.k7_quantal1 A B))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l3_quantal1 A) (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_1 _let_1) (tptp.m1_relset_1 B _let_1 _let_1)) (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 A))) (let ((_let_2 (tptp.k2_zfmisc_1 _let_1 _let_1))) (let ((_let_3 (tptp.k8_quantal1 A B))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l3_quantal1 A) (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_2 _let_1) (tptp.m1_relset_1 B _let_2 _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 $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v4_lattice3 A) (tptp.v2_group_1 A) (tptp.v4_group_1 A) (tptp.v7_quantal1 A) (tptp.v8_quantal1 A) (tptp.v20_quantal1 A) (tptp.v21_quantal1 A) (tptp.l3_quantal1 A) (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (tptp.m1_subset_1 (tptp.k9_quantal1 A B C) _let_1)))) (forall ((A $$unsorted)) (=> (tptp.l3_quantal1 A) (tptp.m1_subset_1 (tptp.u1_quantal1 A) (tptp.u1_struct_0 A)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.g1_quantal1 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.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_2 A) (tptp.m1_relset_1 D _let_2 A)) (and (tptp.v2_quantal1 _let_1) (tptp.l1_quantal1 _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.v1_funct_1 C) (tptp.v1_funct_2 C _let_1 A) (tptp.m1_relset_1 C _let_1 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.g1_quantal1 A B C D) (tptp.g1_quantal1 E F G H)) (and (= A E) (= B F) (= C G) (= D H))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (let ((_let_1 (tptp.g2_quantal1 A B C D E))) (let ((_let_2 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_2 A) (tptp.m1_relset_1 B _let_2 A) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 A) (tptp.m1_relset_1 C _let_2 A) (tptp.v1_funct_1 D) (tptp.v1_funct_2 D _let_2 A) (tptp.m1_relset_1 D _let_2 A) (tptp.m1_subset_1 E A)) (and (tptp.v3_quantal1 _let_1) (tptp.l2_quantal1 _let_1)))))) (forall ((A $$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.v1_funct_1 D) (tptp.v1_funct_2 D _let_1 A) (tptp.m1_relset_1 D _let_1 A) (tptp.m1_subset_1 E A)) (forall ((F $$unsorted) (G $$unsorted) (H $$unsorted) (I $$unsorted) (J $$unsorted)) (=> (= (tptp.g2_quantal1 A B C D E) (tptp.g2_quantal1 F G H I J)) (and (= A F) (= B G) (= C H) (= D I) (= E J))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted)) (let ((_let_1 (tptp.g3_quantal1 A B C D E F))) (let ((_let_2 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_2 A) (tptp.m1_relset_1 B _let_2 A) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 A) (tptp.m1_relset_1 C _let_2 A) (tptp.v1_funct_1 D) (tptp.v1_funct_2 D _let_2 A) (tptp.m1_relset_1 D _let_2 A) (tptp.m1_subset_1 E A) (tptp.m1_subset_1 F A)) (and (tptp.v19_quantal1 _let_1) (tptp.l3_quantal1 _let_1)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_1 A) (tptp.m1_relset_1 B _let_1 A) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_1 A) (tptp.m1_relset_1 C _let_1 A) (tptp.v1_funct_1 D) (tptp.v1_funct_2 D _let_1 A) (tptp.m1_relset_1 D _let_1 A) (tptp.m1_subset_1 E A) (tptp.m1_subset_1 F A)) (forall ((G $$unsorted) (H $$unsorted) (I $$unsorted) (J $$unsorted) (K $$unsorted) (L $$unsorted)) (=> (= (tptp.g3_quantal1 A B C D E F) (tptp.g3_quantal1 G H I J K L)) (and (= A G) (= B H) (= C I) (= D J) (= E K) (= F L))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_quantal1 A)) (= (tptp.v7_quantal1 A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (= (tptp.k4_monoid_0 A B (tptp.k15_lattice3 A C)) (tptp.k15_lattice3 A (tptp.a_3_0_quantal1 A B C))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_quantal1 A)) (= (tptp.v8_quantal1 A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (= (tptp.k4_monoid_0 A (tptp.k15_lattice3 A C) B) (tptp.k15_lattice3 A (tptp.a_3_1_quantal1 A B C))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_quantal1 A)) (= (tptp.v10_quantal1 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_quantal1 B A) (tptp.v1_quantal1 C A)) (= (tptp.k4_monoid_0 A (tptp.k15_lattice3 A B) (tptp.k15_lattice3 A C)) (tptp.k15_lattice3 A (tptp.a_3_2_quantal1 A B C))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v4_lattice3 A) (tptp.v7_quantal1 A) (tptp.v8_quantal1 A) (tptp.l1_quantal1 A)) (forall ((B $$unsorted) (C $$unsorted)) (= (tptp.k4_monoid_0 A (tptp.k15_lattice3 A B) (tptp.k15_lattice3 A C)) (tptp.k15_lattice3 A (tptp.a_3_3_quantal1 A B C)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_1 _let_1) (tptp.m2_relset_1 B _let_1 _let_1)) (= (tptp.v15_quantal1 B A) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 _let_1)) (tptp.r1_lattices A (tptp.k8_funct_2 _let_1 _let_1 B (tptp.k15_lattice3 A C)) (tptp.k15_lattice3 A (tptp.a_3_4_quantal1 A B C)))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v4_lattice3 A) (tptp.l3_lattices A)) (forall ((B $$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)) (=> (tptp.v14_quantal1 B A) (= (tptp.v15_quantal1 B A) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 _let_1)) (= (tptp.k8_funct_2 _let_1 _let_1 B (tptp.k15_lattice3 A C)) (tptp.k15_lattice3 A (tptp.a_3_5_quantal1 A B C))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_quantal1 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_quantal1 A B C) (tptp.k15_lattice3 A (tptp.a_3_6_quantal1 A B C))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_quantal1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (tptp.k2_quantal1 A B C) (tptp.k15_lattice3 A (tptp.a_3_7_quantal1 A B C))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v4_lattice3 A) (tptp.v2_group_1 A) (tptp.v4_group_1 A) (tptp.v7_quantal1 A) (tptp.v8_quantal1 A) (tptp.v20_quantal1 A) (tptp.v21_quantal1 A) (tptp.l3_quantal1 A)) (forall ((B $$unsorted)) (= (tptp.k5_quantal1 A (tptp.k15_lattice3 A B)) (tptp.k16_lattice3 A (tptp.a_2_0_quantal1 A B)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v4_lattice3 A) (tptp.v2_group_1 A) (tptp.v4_group_1 A) (tptp.v7_quantal1 A) (tptp.v8_quantal1 A) (tptp.v20_quantal1 A) (tptp.v21_quantal1 A) (tptp.l3_quantal1 A)) (forall ((B $$unsorted)) (= (tptp.k5_quantal1 A (tptp.k16_lattice3 A B)) (tptp.k15_lattice3 A (tptp.a_2_0_quantal1 A B)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v4_lattice3 A) (tptp.v2_group_1 A) (tptp.v4_group_1 A) (tptp.v7_quantal1 A) (tptp.v8_quantal1 A) (tptp.v20_quantal1 A) (tptp.v21_quantal1 A) (tptp.l3_quantal1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (and (= (tptp.k4_monoid_0 A B (tptp.k15_lattice3 A C)) (tptp.k15_lattice3 A (tptp.a_3_8_quantal1 A B C))) (= (tptp.k9_quantal1 A B (tptp.k16_lattice3 A C)) (tptp.k16_lattice3 A (tptp.a_3_9_quantal1 A B C))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v4_lattice3 A) (tptp.v2_group_1 A) (tptp.v4_group_1 A) (tptp.v7_quantal1 A) (tptp.v8_quantal1 A) (tptp.v20_quantal1 A) (tptp.v21_quantal1 A) (tptp.l3_quantal1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (and (= (tptp.k4_monoid_0 A (tptp.k15_lattice3 A C) B) (tptp.k15_lattice3 A (tptp.a_3_10_quantal1 A B C))) (= (tptp.k9_quantal1 A (tptp.k16_lattice3 A C) B) (tptp.k16_lattice3 A (tptp.a_3_11_quantal1 A B C))))))))) (= tptp.a_0_0_quantal1 tptp.a_0_2_quantal1) (=> (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.f1_s2_quantal1) (not (tptp.p1_s2_quantal1 A)))) (= tptp.a_0_3_quantal1 tptp.k1_xboole_0)) (= (tptp.k15_lattice3 tptp.f1_s3_quantal1 tptp.a_0_4_quantal1) (tptp.k15_lattice3 tptp.f1_s3_quantal1 tptp.a_0_5_quantal1)) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.l1_quantal1 B) (tptp.m1_subset_1 C (tptp.u1_struct_0 B))) (= (tptp.r2_hidden A (tptp.a_3_0_quantal1 B C D)) (exists ((E $$unsorted)) (and (tptp.m1_subset_1 E (tptp.u1_struct_0 B)) (= A (tptp.k4_monoid_0 B C E)) (tptp.r2_hidden E D)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.l1_quantal1 B) (tptp.m1_subset_1 C (tptp.u1_struct_0 B))) (= (tptp.r2_hidden A (tptp.a_3_1_quantal1 B C D)) (exists ((E $$unsorted)) (and (tptp.m1_subset_1 E (tptp.u1_struct_0 B)) (= A (tptp.k4_monoid_0 B E C)) (tptp.r2_hidden E 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.l1_quantal1 B) (tptp.m1_subset_1 C _let_1) (tptp.m1_subset_1 D _let_1)) (= (tptp.r2_hidden A (tptp.a_3_2_quantal1 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_monoid_0 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.v4_lattice3 B) (tptp.v7_quantal1 B) (tptp.v8_quantal1 B) (tptp.l1_quantal1 B)) (= (tptp.r2_hidden A (tptp.a_3_3_quantal1 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_monoid_0 B E F)) (tptp.r2_hidden E C) (tptp.r2_hidden F D))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (=> (and (not (tptp.v3_struct_0 B)) (tptp.l3_lattices B) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_1 _let_1) (tptp.m2_relset_1 C _let_1 _let_1) (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 _let_1))) (= (tptp.r2_hidden A (tptp.a_3_4_quantal1 B C D)) (exists ((E $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (and (tptp.m1_subset_1 E _let_1) (= A (tptp.k8_funct_2 _let_1 _let_1 C E)) (tptp.r2_hidden E D)))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v10_lattices B) (tptp.v4_lattice3 B) (tptp.l3_lattices B) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_1 _let_1) (tptp.m2_relset_1 C _let_1 _let_1) (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 _let_1))) (= (tptp.r2_hidden A (tptp.a_3_5_quantal1 B C D)) (exists ((E $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (and (tptp.m1_subset_1 E _let_1) (= A (tptp.k8_funct_2 _let_1 _let_1 C E)) (tptp.r2_hidden E D)))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (=> (and (not (tptp.v3_struct_0 B)) (tptp.l1_quantal1 B) (tptp.m1_subset_1 C _let_1) (tptp.m1_subset_1 D _let_1)) (= (tptp.r2_hidden A (tptp.a_3_6_quantal1 B C D)) (exists ((E $$unsorted)) (and (tptp.m1_subset_1 E (tptp.u1_struct_0 B)) (= A E) (tptp.r1_lattices B (tptp.k4_monoid_0 B E C) D))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (=> (and (not (tptp.v3_struct_0 B)) (tptp.l1_quantal1 B) (tptp.m1_subset_1 C _let_1) (tptp.m1_subset_1 D _let_1)) (= (tptp.r2_hidden A (tptp.a_3_7_quantal1 B C D)) (exists ((E $$unsorted)) (and (tptp.m1_subset_1 E (tptp.u1_struct_0 B)) (= A E) (tptp.r1_lattices B (tptp.k4_monoid_0 B C E) D))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v10_lattices B) (tptp.v4_lattice3 B) (tptp.v2_group_1 B) (tptp.v4_group_1 B) (tptp.v7_quantal1 B) (tptp.v8_quantal1 B) (tptp.v20_quantal1 B) (tptp.v21_quantal1 B) (tptp.l3_quantal1 B)) (= (tptp.r2_hidden A (tptp.a_2_0_quantal1 B C)) (exists ((D $$unsorted)) (and (tptp.m1_subset_1 D (tptp.u1_struct_0 B)) (= A (tptp.k5_quantal1 B D)) (tptp.r2_hidden D C)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v10_lattices B) (tptp.v4_lattice3 B) (tptp.v2_group_1 B) (tptp.v4_group_1 B) (tptp.v7_quantal1 B) (tptp.v8_quantal1 B) (tptp.v20_quantal1 B) (tptp.v21_quantal1 B) (tptp.l3_quantal1 B) (tptp.m1_subset_1 C (tptp.u1_struct_0 B))) (= (tptp.r2_hidden A (tptp.a_3_8_quantal1 B C D)) (exists ((E $$unsorted)) (and (tptp.m1_subset_1 E (tptp.u1_struct_0 B)) (= A (tptp.k4_monoid_0 B C E)) (tptp.r2_hidden E D)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v10_lattices B) (tptp.v4_lattice3 B) (tptp.v2_group_1 B) (tptp.v4_group_1 B) (tptp.v7_quantal1 B) (tptp.v8_quantal1 B) (tptp.v20_quantal1 B) (tptp.v21_quantal1 B) (tptp.l3_quantal1 B) (tptp.m1_subset_1 C (tptp.u1_struct_0 B))) (= (tptp.r2_hidden A (tptp.a_3_9_quantal1 B C D)) (exists ((E $$unsorted)) (and (tptp.m1_subset_1 E (tptp.u1_struct_0 B)) (= A (tptp.k9_quantal1 B C E)) (tptp.r2_hidden E D)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v10_lattices B) (tptp.v4_lattice3 B) (tptp.v2_group_1 B) (tptp.v4_group_1 B) (tptp.v7_quantal1 B) (tptp.v8_quantal1 B) (tptp.v20_quantal1 B) (tptp.v21_quantal1 B) (tptp.l3_quantal1 B) (tptp.m1_subset_1 C (tptp.u1_struct_0 B))) (= (tptp.r2_hidden A (tptp.a_3_10_quantal1 B C D)) (exists ((E $$unsorted)) (and (tptp.m1_subset_1 E (tptp.u1_struct_0 B)) (= A (tptp.k4_monoid_0 B E C)) (tptp.r2_hidden E D)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v10_lattices B) (tptp.v4_lattice3 B) (tptp.v2_group_1 B) (tptp.v4_group_1 B) (tptp.v7_quantal1 B) (tptp.v8_quantal1 B) (tptp.v20_quantal1 B) (tptp.v21_quantal1 B) (tptp.l3_quantal1 B) (tptp.m1_subset_1 C (tptp.u1_struct_0 B))) (= (tptp.r2_hidden A (tptp.a_3_11_quantal1 B C D)) (exists ((E $$unsorted)) (and (tptp.m1_subset_1 E (tptp.u1_struct_0 B)) (= A (tptp.k9_quantal1 B E C)) (tptp.r2_hidden E D)))))) (forall ((A $$unsorted)) (= (tptp.r2_hidden A tptp.a_0_0_quantal1) (exists ((B $$unsorted)) (and (tptp.m1_subset_1 B tptp.f2_s1_quantal1) (= A (tptp.f3_s1_quantal1 B)) (tptp.r2_hidden B tptp.a_0_1_quantal1))))) (forall ((A $$unsorted)) (= (tptp.r2_hidden A tptp.a_0_1_quantal1) (exists ((B $$unsorted)) (and (tptp.m1_subset_1 B tptp.f1_s1_quantal1) (= A (tptp.f4_s1_quantal1 B)) (tptp.p1_s1_quantal1 B))))) (forall ((A $$unsorted)) (= (tptp.r2_hidden A tptp.a_0_2_quantal1) (exists ((B $$unsorted)) (and (tptp.m1_subset_1 B tptp.f1_s1_quantal1) (= A (tptp.f3_s1_quantal1 (tptp.f4_s1_quantal1 B))) (tptp.p1_s1_quantal1 B))))) (forall ((A $$unsorted)) (= (tptp.r2_hidden A tptp.a_0_3_quantal1) (exists ((B $$unsorted)) (and (tptp.m1_subset_1 B tptp.f1_s2_quantal1) (= A (tptp.f2_s2_quantal1 B)) (tptp.p1_s2_quantal1 B))))) (forall ((A $$unsorted)) (= (tptp.r2_hidden A tptp.a_0_4_quantal1) (exists ((B $$unsorted)) (and (tptp.m1_subset_1 B (tptp.u1_struct_0 tptp.f1_s3_quantal1)) (= A (tptp.k15_lattice3 tptp.f1_s3_quantal1 (tptp.a_1_0_quantal1 B))) (tptp.r2_hidden B tptp.f3_s3_quantal1))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 tptp.f1_s3_quantal1)) (= (tptp.r2_hidden A (tptp.a_1_0_quantal1 B)) (exists ((C $$unsorted)) (and (tptp.m1_subset_1 C (tptp.u1_struct_0 tptp.f1_s3_quantal1)) (= A (tptp.f2_s3_quantal1 B C)) (tptp.r2_hidden C tptp.f4_s3_quantal1)))))) (forall ((A $$unsorted)) (= (tptp.r2_hidden A tptp.a_0_5_quantal1) (exists ((B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 tptp.f1_s3_quantal1))) (and (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1) (= A (tptp.f2_s3_quantal1 B C)) (tptp.r2_hidden B tptp.f3_s3_quantal1) (tptp.r2_hidden C tptp.f4_s3_quantal1)))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k6_pre_topc 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_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (and (not (tptp.v1_xboole_0 _let_1)) (tptp.v4_pre_topc _let_1 A))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k6_pre_topc A B))) (let ((_let_2 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A) (tptp.v1_xboole_0 B) (tptp.m1_subset_1 B _let_2)) (and (tptp.v1_xboole_0 _let_1) (tptp.v3_pre_topc _let_1 A) (tptp.v4_pre_topc _let_1 A) (tptp.v2_tops_1 _let_1 A) (tptp.v3_tops_1 _let_1 A) (tptp.v1_tex_2 _let_1 _let_2) (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.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (let ((_let_2 (tptp.k6_pre_topc A B))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A) (not (tptp.v1_tex_2 B _let_1)) (tptp.m1_subset_1 B _let_1)) (and (not (tptp.v1_xboole_0 _let_2)) (tptp.v4_pre_topc _let_2 A) (not (tptp.v1_tex_2 _let_2 _let_1))))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k6_pre_topc A B))) (=> (and (not (tptp.v3_struct_0 A)) (not (tptp.v3_realset2 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A) (not (tptp.v1_xboole_0 B)) (not (tptp.v1_realset1 B)) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (and (not (tptp.v1_xboole_0 _let_1)) (not (tptp.v1_realset1 _let_1)) (tptp.v4_pre_topc _let_1 A))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (let ((_let_2 (tptp.k1_tops_1 A B))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A) (not (tptp.v1_tex_2 B _let_1)) (tptp.m1_subset_1 B _let_1)) (and (not (tptp.v1_xboole_0 _let_2)) (tptp.v3_pre_topc _let_2 A) (not (tptp.v1_tex_2 _let_2 _let_1))))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (let ((_let_2 (tptp.k1_tops_1 A B))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A) (tptp.v1_tex_2 B _let_1) (tptp.m1_subset_1 B _let_1)) (and (tptp.v3_pre_topc _let_2 A) (tptp.v1_tex_2 _let_2 _let_1)))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k1_tops_1 A B))) (let ((_let_2 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A) (tptp.v1_xboole_0 B) (tptp.m1_subset_1 B _let_2)) (and (tptp.v1_xboole_0 _let_1) (tptp.v3_pre_topc _let_1 A) (tptp.v4_pre_topc _let_1 A) (tptp.v2_tops_1 _let_1 A) (tptp.v3_tops_1 _let_1 A) (tptp.v1_tex_2 _let_1 _let_2) (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 (not (tptp.v3_struct_0 A)) (tptp.l1_pre_topc A) (tptp.m1_subset_1 B (tptp.u1_struct_0 A))) (not (tptp.v1_xboole_0 (tptp.k1_tex_4 A B))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_pre_topc A) (tptp.m1_subset_1 B (tptp.u1_struct_0 A))) (not (tptp.v1_xboole_0 (tptp.k2_tex_4 A B))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (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)))) (not (tptp.v1_xboole_0 (tptp.k3_tex_4 A B))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k3_tex_4 A B))) (let ((_let_2 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_pre_topc A) (tptp.v1_xboole_0 B) (tptp.m1_subset_1 B _let_2)) (and (tptp.v1_xboole_0 _let_1) (tptp.v2_tops_1 _let_1 A) (tptp.v1_tex_2 _let_1 _let_2) (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.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (let ((_let_2 (tptp.k3_tex_4 A B))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_pre_topc A) (not (tptp.v1_tex_2 B _let_1)) (tptp.m1_subset_1 B _let_1)) (and (not (tptp.v1_xboole_0 _let_2)) (not (tptp.v1_tex_2 _let_2 _let_1))))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k3_tex_4 A B))) (=> (and (not (tptp.v3_struct_0 A)) (not (tptp.v3_realset2 A)) (tptp.l1_pre_topc A) (not (tptp.v1_xboole_0 B)) (not (tptp.v1_realset1 B)) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (and (not (tptp.v1_xboole_0 _let_1)) (not (tptp.v1_realset1 _let_1)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_pre_topc B A) (=> (tptp.v4_tex_4 B A) (and (tptp.v2_pre_topc B) (tptp.v2_tdlat_3 B) (tptp.v3_tdlat_3 B))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_pre_topc B A) (=> (not (tptp.v2_tdlat_3 B)) (not (tptp.v4_tex_4 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)) (let ((_let_1 (tptp.v2_tdlat_3 B))) (let ((_let_2 (not (tptp.v3_struct_0 B)))) (=> (tptp.m1_pre_topc B A) (=> (and _let_2 (tptp.v1_tsep_1 B A) _let_1) (and _let_2 (tptp.v2_pre_topc B) _let_1 (tptp.v3_tdlat_3 B) (tptp.v4_tex_4 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)) (let ((_let_1 (not (tptp.v4_tex_4 B A)))) (let ((_let_2 (not (tptp.v3_struct_0 B)))) (=> (tptp.m1_pre_topc B A) (=> (and _let_2 (tptp.v1_tsep_1 B A) _let_1) (and _let_2 (not (tptp.v3_realset2 B)) (tptp.v2_pre_topc B) (not (tptp.v2_tdlat_3 B)) _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 (not (tptp.v3_struct_0 B)))) (=> (tptp.m1_pre_topc B A) (=> (and _let_1 (tptp.v2_tdlat_3 B) (not (tptp.v4_tex_4 B A))) (and _let_1 (tptp.v2_pre_topc B) (not (tptp.v1_tsep_1 B A)) (tptp.v2_tex_2 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)) (let ((_let_1 (tptp.v2_tdlat_3 B))) (let ((_let_2 (not (tptp.v3_struct_0 B)))) (=> (tptp.m1_pre_topc B A) (=> (and _let_2 (tptp.v1_borsuk_1 B A) _let_1) (and _let_2 (tptp.v2_pre_topc B) _let_1 (tptp.v3_tdlat_3 B) (tptp.v4_tex_4 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)) (let ((_let_1 (not (tptp.v4_tex_4 B A)))) (let ((_let_2 (not (tptp.v3_struct_0 B)))) (=> (tptp.m1_pre_topc B A) (=> (and _let_2 (tptp.v1_borsuk_1 B A) _let_1) (and _let_2 (not (tptp.v3_realset2 B)) (tptp.v2_pre_topc B) (not (tptp.v2_tdlat_3 B)) _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 (not (tptp.v3_struct_0 B)))) (=> (tptp.m1_pre_topc B A) (=> (and _let_1 (tptp.v2_tdlat_3 B) (not (tptp.v4_tex_4 B A))) (and _let_1 (tptp.v2_pre_topc B) (not (tptp.v1_borsuk_1 B A)) (tptp.v2_tex_2 B A)))))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k5_tex_4 A B))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_pre_topc A) (tptp.m1_subset_1 B (tptp.u1_struct_0 A))) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v1_pre_topc _let_1))))) (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) (tptp.v1_pre_topc B) (tptp.v2_pre_topc B) (tptp.v2_tdlat_3 B) (tptp.v3_tdlat_3 B) (tptp.v4_tex_4 B A))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k5_tex_4 A B))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A) (tptp.m1_subset_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) (tptp.v2_tdlat_3 _let_1) (tptp.v3_tdlat_3 _let_1) (tptp.v4_tex_4 _let_1 A))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k6_tex_4 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 $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (not (tptp.v3_realset2 A)) (tptp.l1_pre_topc A)) (exists ((B $$unsorted)) (and (tptp.m1_pre_topc B A) (tptp.v1_pre_topc B) (not (tptp.v2_tex_2 B A)))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k6_tex_4 A B))) (=> (and (not (tptp.v3_struct_0 A)) (not (tptp.v3_realset2 A)) (tptp.l1_pre_topc A) (not (tptp.v1_xboole_0 B)) (not (tptp.v1_realset1 B)) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (and (not (tptp.v3_struct_0 _let_1)) (not (tptp.v3_realset2 _let_1)) (tptp.v1_pre_topc _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k6_tex_4 A B))) (let ((_let_2 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_pre_topc A) (not (tptp.v1_xboole_0 B)) (not (tptp.v1_tex_2 B _let_2)) (tptp.m1_subset_1 B _let_2)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v1_pre_topc _let_1) (not (tptp.v2_tex_2 _let_1 A))))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k7_tex_4 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 $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k7_tex_4 A B))) (=> (and (not (tptp.v3_struct_0 A)) (not (tptp.v3_realset2 A)) (tptp.l1_pre_topc A) (not (tptp.v1_xboole_0 B)) (not (tptp.v1_realset1 B)) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (and (not (tptp.v3_struct_0 _let_1)) (not (tptp.v3_realset2 _let_1)) (tptp.v1_pre_topc _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k7_tex_4 A B))) (let ((_let_2 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_pre_topc A) (not (tptp.v1_xboole_0 B)) (not (tptp.v1_tex_2 B _let_2)) (tptp.m1_subset_1 B _let_2)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v1_pre_topc _let_1) (not (tptp.v2_tex_2 _let_1 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.v1_tex_4 B A) (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 A))) (=> (and (tptp.v3_pre_topc D A) (tptp.r2_hidden C D) (tptp.r2_hidden C B)) (tptp.r1_tarski B D))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (tptp.v1_tex_4 B A) (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 A))) (=> (and (tptp.v4_pre_topc D A) (tptp.r2_hidden C D) (tptp.r2_hidden C B)) (tptp.r1_tarski 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.v1_tex_4 B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (not (and (tptp.v3_pre_topc C A) (not (tptp.r1_xboole_0 B C)) (not (tptp.r1_tarski B C))))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (tptp.v1_tex_4 B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (not (and (tptp.v4_pre_topc C A) (not (tptp.r1_xboole_0 B C)) (not (tptp.r1_tarski B C))))))))))) true (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (forall ((B $$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)) (let ((_let_1 (tptp.u1_struct_0 B))) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 _let_1)) (=> (and (= (tptp.g1_pre_topc (tptp.u1_struct_0 A) (tptp.u1_pre_topc A)) (tptp.g1_pre_topc _let_1 (tptp.u1_pre_topc B))) (= C D) (tptp.v1_tex_4 C A)) (tptp.v1_tex_4 D B))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (and (tptp.r1_tarski C B) (tptp.v1_tex_4 B A)) (tptp.v1_tex_4 C A)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (tptp.v1_tex_4 (tptp.k1_struct_0 A B) A))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_xboole_0 B) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (tptp.v1_tex_4 B A))))) (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (= (tptp.v2_tex_4 B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (tptp.r2_hidden C B) (tptp.v1_tex_4 C A))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 _let_1))) (=> (tptp.v2_tex_4 B A) (or (= (tptp.k6_setfam_1 _let_1 B) tptp.k1_xboole_0) (tptp.v1_tex_4 (tptp.k5_setfam_1 _let_1 B) A)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 _let_1))) (=> (tptp.v2_tex_4 B A) (tptp.v1_tex_4 (tptp.k6_setfam_1 _let_1 B) A))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (tptp.v2_tex_4 (tptp.k1_tex_4 A B) A))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 B _let_1) (= (tptp.k1_struct_0 A B) (tptp.k6_setfam_1 _let_1 (tptp.k1_tex_4 A B)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 B _let_1) (tptp.r1_tarski (tptp.k1_struct_0 A B) (tptp.k5_setfam_1 _let_1 (tptp.k1_tex_4 A B)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 B _let_1) (tptp.v1_tex_4 (tptp.k5_setfam_1 _let_1 (tptp.k1_tex_4 A 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_tex_4 B A) (and (tptp.v1_tex_4 B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_tex_4 C A) (tptp.r1_tarski B C)) (= B C)))))))))) (forall ((A $$unsorted)) (=> (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 $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 _let_1)) (=> (and (= (tptp.g1_pre_topc (tptp.u1_struct_0 A) (tptp.u1_pre_topc A)) (tptp.g1_pre_topc _let_1 (tptp.u1_pre_topc B))) (= C D) (tptp.v3_tex_4 C A)) (tptp.v3_tex_4 D B))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_xboole_0 B) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (not (tptp.v3_tex_4 B A)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (=> (and (tptp.v1_tex_4 B A) (tptp.v3_pre_topc B A)) (tptp.v3_tex_4 B A)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (=> (and (tptp.v1_tex_4 B A) (tptp.v4_pre_topc B A)) (tptp.v3_tex_4 B A)))))) (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 B _let_1) (= (tptp.k2_tex_4 A B) (tptp.k5_setfam_1 _let_1 (tptp.k1_tex_4 A B)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (tptp.r1_tarski (tptp.k1_struct_0 A B) (tptp.k2_tex_4 A B)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 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)) (=> (and (tptp.v1_tex_4 B A) (tptp.r2_hidden C B)) (tptp.r1_tarski B (tptp.k2_tex_4 A C))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (tptp.v3_tex_4 (tptp.k2_tex_4 A B) A))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k2_tex_4 A B))) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (tptp.r2_hidden C _let_1) (= (tptp.k2_tex_4 A C) _let_1))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k2_tex_4 A C))) (let ((_let_2 (tptp.k2_tex_4 A B))) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (or (tptp.r1_subset_1 _let_2 _let_1) (= _let_2 _let_1)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (=> (and (tptp.v4_pre_topc B A) (tptp.r2_hidden C B)) (tptp.r1_tarski (tptp.k2_tex_4 A C) B)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 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)) (=> (and (tptp.v3_pre_topc B A) (tptp.r2_hidden C B)) (tptp.r1_tarski (tptp.k2_tex_4 A C) B)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (tptp.v3_tex_4 B A) (exists ((C $$unsorted)) (and (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (tptp.r2_hidden C B) (= B (tptp.k2_tex_4 A C))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 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)) (=> (and (tptp.r2_hidden C B) (tptp.v3_tex_4 B A)) (= B (tptp.k2_tex_4 A C))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (= (tptp.v3_tex_4 B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (=> (tptp.r2_hidden C B) (= B (tptp.k2_tex_4 A C)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (= (tptp.k2_tex_4 A B) (tptp.k3_tex_4 A (tptp.k1_struct_0 A B))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 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_tex_4 A C))) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (not (and (not (tptp.r1_xboole_0 _let_1 (tptp.k3_tex_4 A B))) (tptp.r1_xboole_0 _let_1 B)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k3_tex_4 A B))) (let ((_let_2 (tptp.k2_tex_4 A C))) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (=> (not (tptp.r1_xboole_0 _let_2 _let_1)) (tptp.r1_tarski _let_2 _let_1)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 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))) (=> (tptp.r1_tarski B C) (tptp.r1_tarski (tptp.k3_tex_4 A B) (tptp.k3_tex_4 A C))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (tptp.r1_tarski B (tptp.k3_tex_4 A B)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k3_tex_4 A B))) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= _let_1 (tptp.k3_tex_4 A _let_1))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k3_tex_4 A C))) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (tptp.r1_tarski B _let_1) (tptp.r1_tarski (tptp.k3_tex_4 A B) _let_1))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 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.k3_tex_4 A C))) (let ((_let_2 (tptp.k3_tex_4 A B))) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (and (tptp.r1_tarski C _let_2) (tptp.r1_tarski B _let_1)) (= _let_2 _let_1)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 _let_1)) (= (tptp.k3_tex_4 A (tptp.k4_subset_1 _let_1 B C)) (tptp.k4_subset_1 _let_1 (tptp.k3_tex_4 A B) (tptp.k3_tex_4 A C)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 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.k3_tex_4 A (tptp.k5_subset_1 _let_1 B C)) (tptp.k5_subset_1 _let_1 (tptp.k3_tex_4 A B) (tptp.k3_tex_4 A C)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (and (tptp.v3_pre_topc B A) (tptp.r1_tarski C B)) (tptp.r1_tarski (tptp.k3_tex_4 A C) B)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 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))) (=> (and (tptp.v4_pre_topc B A) (tptp.r1_tarski C B)) (tptp.r1_tarski (tptp.k3_tex_4 A 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)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (tptp.v1_tex_4 B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (=> (tptp.r2_hidden C B) (tptp.r1_tarski B (tptp.k6_pre_topc A (tptp.k1_struct_0 A C))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (tptp.v1_tex_4 B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (=> (tptp.r2_hidden C B) (= (tptp.k6_pre_topc A B) (tptp.k6_pre_topc A (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))) (= (tptp.v1_tex_4 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.k6_pre_topc A (tptp.k1_struct_0 A C)) (tptp.k6_pre_topc A (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)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k6_pre_topc A (tptp.k1_struct_0 A B)))) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_tex_4 C A) (tptp.r1_tarski _let_1 C)) (= C _let_1))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (and (tptp.v1_tex_4 B A) (tptp.v4_pre_topc B A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (=> (tptp.r2_hidden C B) (= B (tptp.k6_pre_topc A (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))) (=> (tptp.v1_tex_4 B A) (or (tptp.v3_pre_topc B A) (tptp.v2_tops_1 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)) (let ((_let_1 (tptp.k1_struct_0 A B))) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (=> (= (tptp.k6_pre_topc A _let_1) _let_1) (tptp.v3_tex_4 _let_1 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 A)) (tptp.r1_tarski (tptp.k2_tex_4 A B) (tptp.k6_pre_topc A (tptp.k1_struct_0 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)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (= (tptp.k2_tex_4 A B) (tptp.k2_tex_4 A C)) (= (tptp.k6_pre_topc A (tptp.k1_struct_0 A B)) (tptp.k6_pre_topc A (tptp.k1_struct_0 A C)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (tptp.r1_subset_1 (tptp.k2_tex_4 A B) (tptp.k2_tex_4 A C)) (not (= (tptp.k6_pre_topc A (tptp.k1_struct_0 A B)) (tptp.k6_pre_topc A (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.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (tptp.r1_subset_1 (tptp.k4_tex_4 A B) (tptp.k4_tex_4 A C)) (not (and (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (not (and (tptp.v3_pre_topc D A) (tptp.r1_tarski (tptp.k4_tex_4 A B) D) (tptp.r1_xboole_0 D (tptp.k4_tex_4 A C)))))) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (not (and (tptp.v3_pre_topc D A) (tptp.r1_xboole_0 D (tptp.k4_tex_4 A B)) (tptp.r1_tarski (tptp.k4_tex_4 A C) D)))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (tptp.r1_subset_1 (tptp.k4_tex_4 A B) (tptp.k4_tex_4 A C)) (not (and (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (not (and (tptp.v4_pre_topc D A) (tptp.r1_tarski (tptp.k4_tex_4 A B) D) (tptp.r1_xboole_0 D (tptp.k4_tex_4 A C)))))) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (not (and (tptp.v4_pre_topc D A) (tptp.r1_xboole_0 D (tptp.k4_tex_4 A B)) (tptp.r1_tarski (tptp.k4_tex_4 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.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (tptp.v3_pre_topc B A) (= (tptp.k3_tex_4 A B) 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.k1_tops_1 A B))) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (tptp.k3_tex_4 A _let_1) _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))) (tptp.r1_tarski (tptp.k3_tex_4 A B) (tptp.k6_pre_topc 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)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (tptp.v4_pre_topc B A) (= (tptp.k3_tex_4 A B) 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.k6_pre_topc A B))) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (tptp.k3_tex_4 A _let_1) _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))) (= (tptp.k6_pre_topc A (tptp.k3_tex_4 A B)) (tptp.k6_pre_topc 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)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (= (tptp.k3_tex_4 A B) (tptp.k3_tex_4 A C)) (= (tptp.k6_pre_topc A B) (tptp.k6_pre_topc A C))))))))) (forall ((A $$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)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 _let_1)) (=> (or (tptp.v4_pre_topc B A) (tptp.v4_pre_topc C A)) (= (tptp.k3_tex_4 A (tptp.k5_subset_1 _let_1 B C)) (tptp.k5_subset_1 _let_1 (tptp.k3_tex_4 A B) (tptp.k3_tex_4 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 $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 _let_1)) (=> (or (tptp.v3_pre_topc B A) (tptp.v3_pre_topc C A)) (= (tptp.k3_tex_4 A (tptp.k5_subset_1 _let_1 B C)) (tptp.k5_subset_1 _let_1 (tptp.k3_tex_4 A B) (tptp.k3_tex_4 A C))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (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))) (=> (and (= C (tptp.u1_struct_0 B)) (tptp.v2_tdlat_3 B)) (tptp.v1_tex_4 C A)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_pre_topc B A) (=> (tptp.v2_pre_topc B) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (and (= C (tptp.u1_struct_0 B)) (tptp.v1_tex_4 C A)) (tptp.v2_tdlat_3 B))))))))) (forall ((A $$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 (tptp.v1_tsep_1 C A) (tptp.m1_pre_topc C A)) (or (tptp.r1_tsep_1 A B C) (tptp.m1_pre_topc B C)))) (tptp.v2_tdlat_3 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 $$unsorted)) (=> (and (tptp.v1_borsuk_1 C A) (tptp.m1_pre_topc C A)) (or (tptp.r1_tsep_1 A B C) (tptp.m1_pre_topc B C)))) (tptp.v2_tdlat_3 B)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (tptp.v2_tdlat_3 B) (tptp.m1_pre_topc B A)) (forall ((C $$unsorted)) (=> (and (tptp.v1_tsep_1 C A) (tptp.m1_pre_topc C A)) (or (tptp.r1_tsep_1 A B C) (tptp.m1_pre_topc 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 (tptp.v2_tdlat_3 B) (tptp.m1_pre_topc B A)) (forall ((C $$unsorted)) (=> (and (tptp.v1_borsuk_1 C A) (tptp.m1_pre_topc C A)) (or (tptp.r1_tsep_1 A B C) (tptp.m1_pre_topc B C)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_pre_topc B A) (= (tptp.v4_tex_4 B A) (and (tptp.v2_tdlat_3 B) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 C))) (let ((_let_2 (tptp.u1_struct_0 B))) (=> (tptp.m1_pre_topc C A) (=> (and (tptp.v2_tdlat_3 C) (tptp.r1_tarski _let_2 _let_1)) (= _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.m1_pre_topc B A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (= C (tptp.u1_struct_0 B)) (= (tptp.v4_tex_4 B A) (tptp.v3_tex_4 C A))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (and (tptp.v1_pre_topc C) (tptp.m1_pre_topc C A)) (= (= C (tptp.k5_tex_4 A B)) (= (tptp.u1_struct_0 C) (tptp.k2_tex_4 A B))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (tptp.m1_pre_topc (tptp.k1_tex_2 A B) (tptp.k5_tex_4 A B)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k5_tex_4 A B))) (let ((_let_2 (tptp.u1_struct_0 _let_1))) (let ((_let_3 (tptp.k5_tex_4 A C))) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (tptp.m1_subset_1 C _let_2) (= (tptp.g1_pre_topc (tptp.u1_struct_0 _let_3) (tptp.u1_pre_topc _let_3)) (tptp.g1_pre_topc _let_2 (tptp.u1_pre_topc _let_1))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k5_tex_4 A C))) (let ((_let_2 (tptp.u1_struct_0 _let_1))) (let ((_let_3 (tptp.k5_tex_4 A B))) (let ((_let_4 (tptp.u1_struct_0 _let_3))) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (or (tptp.r1_subset_1 _let_4 _let_2) (= (tptp.g1_pre_topc _let_4 (tptp.u1_pre_topc _let_3)) (tptp.g1_pre_topc _let_2 (tptp.u1_pre_topc _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.v1_borsuk_1 B A) (tptp.m1_pre_topc B A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 B)) (tptp.m1_pre_topc (tptp.k5_tex_4 A C) B)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v1_tsep_1 B A) (tptp.m1_pre_topc B A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 B)) (tptp.m1_pre_topc (tptp.k5_tex_4 A 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)) (let ((_let_1 (tptp.k1_struct_0 A B))) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (=> (= (tptp.k6_pre_topc A _let_1) _let_1) (tptp.v4_tex_4 (tptp.k1_tex_2 A 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 $$unsorted)) (=> (and (tptp.v1_pre_topc C) (tptp.m1_pre_topc C A)) (= (= C (tptp.k6_tex_4 A B)) (= (tptp.u1_struct_0 C) B)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 (tptp.k6_tex_4 A B)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_pre_topc B A) (forall ((C $$unsorted)) (=> (and (not (tptp.v1_xboole_0 C)) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B))) (tptp.m1_pre_topc (tptp.k6_tex_4 A C) B)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (=> (and (tptp.v1_pre_topc C) (tptp.m1_pre_topc C A)) (= (= C (tptp.k7_tex_4 A B)) (= (tptp.u1_struct_0 C) (tptp.k3_tex_4 A B))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 (tptp.k7_tex_4 A B)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (tptp.m1_pre_topc (tptp.k6_tex_4 A B) (tptp.k7_tex_4 A B)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k7_tex_4 A (tptp.k1_struct_0 A B)))) (let ((_let_2 (tptp.k5_tex_4 A B))) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (= (tptp.g1_pre_topc (tptp.u1_struct_0 _let_2) (tptp.u1_pre_topc _let_2)) (tptp.g1_pre_topc (tptp.u1_struct_0 _let_1) (tptp.u1_pre_topc _let_1))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_pre_topc 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.m1_pre_topc (tptp.k7_tex_4 A B) (tptp.k7_tex_4 A C))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k7_tex_4 A (tptp.k3_tex_4 A B)))) (let ((_let_2 (tptp.k7_tex_4 A B))) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (= (tptp.g1_pre_topc (tptp.u1_struct_0 _let_2) (tptp.u1_pre_topc _let_2)) (tptp.g1_pre_topc (tptp.u1_struct_0 _let_1) (tptp.u1_pre_topc _let_1))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k7_tex_4 A C))) (=> (and (not (tptp.v1_xboole_0 C)) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 _let_1))) (tptp.m1_pre_topc (tptp.k7_tex_4 A B) _let_1))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_pre_topc 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.k7_tex_4 A C))) (let ((_let_2 (tptp.u1_struct_0 _let_1))) (let ((_let_3 (tptp.k7_tex_4 A B))) (let ((_let_4 (tptp.u1_struct_0 _let_3))) (=> (and (not (tptp.v1_xboole_0 C)) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (= (and (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 _let_4)) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 _let_2))) (= (tptp.g1_pre_topc _let_4 (tptp.u1_pre_topc _let_3)) (tptp.g1_pre_topc _let_2 (tptp.u1_pre_topc _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 (tptp.v1_tsep_1 B A) (tptp.m1_pre_topc B A)) (forall ((C $$unsorted)) (=> (and (not (tptp.v1_xboole_0 C)) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B))) (tptp.m1_pre_topc (tptp.k7_tex_4 A C) B)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_borsuk_1 B A) (tptp.m1_pre_topc B A)) (forall ((C $$unsorted)) (=> (and (not (tptp.v1_xboole_0 C)) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B))) (tptp.m1_pre_topc (tptp.k7_tex_4 A C) B)))))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_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_tex_4 A B) (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 _let_1)))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_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_tex_4 A B) (tptp.k1_zfmisc_1 _let_1))))) (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.l1_pre_topc A) (tptp.m1_subset_1 B _let_1)) (tptp.m1_subset_1 (tptp.k3_tex_4 A B) _let_1)))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.k4_tex_4 A B))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A) (tptp.m1_subset_1 B _let_1)) (and (not (tptp.v1_xboole_0 _let_2)) (tptp.m1_subset_1 _let_2 (tptp.k1_zfmisc_1 _let_1))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A) (tptp.m1_subset_1 B (tptp.u1_struct_0 A))) (= (tptp.k4_tex_4 A B) (tptp.k2_tex_4 A B)))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k5_tex_4 A B))) (=> (and (tptp.l1_pre_topc A) (tptp.m1_subset_1 B (tptp.u1_struct_0 A))) (and (tptp.v1_pre_topc _let_1) (tptp.m1_pre_topc _let_1 A))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k6_tex_4 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)) (let ((_let_1 (tptp.k7_tex_4 A B))) (=> (and (not (tptp.v3_struct_0 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.m1_pre_topc _let_1 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.k6_pre_topc A B) (tptp.k1_setfam_1 (tptp.a_2_0_tex_4 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)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (= (tptp.k6_pre_topc A (tptp.k1_struct_0 A B)) (tptp.k1_setfam_1 (tptp.a_2_1_tex_4 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)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (tptp.k1_tops_1 A B) (tptp.k3_tarski (tptp.a_2_2_tex_4 A B))))))) (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (= (tptp.k1_tex_4 A B) (tptp.a_2_3_tex_4 A B)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.a_2_4_tex_4 A B))) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (=> (not (= _let_1 tptp.k1_xboole_0)) (tptp.r1_tarski (tptp.k2_tex_4 A B) (tptp.k1_setfam_1 _let_1)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.a_2_5_tex_4 A B))) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (=> (not (= _let_1 tptp.k1_xboole_0)) (tptp.r1_tarski (tptp.k2_tex_4 A B) (tptp.k1_setfam_1 _let_1)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (tptp.k3_tex_4 A B) (tptp.k3_tarski (tptp.a_2_6_tex_4 A B))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.a_2_7_tex_4 A B))) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (not (= _let_1 tptp.k1_xboole_0)) (tptp.r1_tarski (tptp.k3_tex_4 A B) (tptp.k1_setfam_1 _let_1)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.a_2_8_tex_4 A B))) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (not (= _let_1 tptp.k1_xboole_0)) (tptp.r1_tarski (tptp.k3_tex_4 A B) (tptp.k1_setfam_1 _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.u1_struct_0 A)) (tptp.r1_tarski (tptp.k2_tex_4 A B) (tptp.k1_setfam_1 (tptp.a_2_9_tex_4 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)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (tptp.r1_tarski (tptp.k2_tex_4 A B) (tptp.k1_setfam_1 (tptp.a_2_1_tex_4 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)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (= (tptp.k4_tex_4 A B) (tptp.k3_xboole_0 (tptp.k6_pre_topc A (tptp.k1_struct_0 A B)) (tptp.k1_setfam_1 (tptp.a_2_9_tex_4 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)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (tptp.r1_tarski (tptp.k6_pre_topc A (tptp.k1_struct_0 A B)) (tptp.k6_pre_topc A (tptp.k1_struct_0 A C))) (tptp.r1_tarski (tptp.k1_setfam_1 (tptp.a_2_9_tex_4 A C)) (tptp.k1_setfam_1 (tptp.a_2_9_tex_4 A B)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (tptp.r1_tarski (tptp.k6_pre_topc A (tptp.k1_struct_0 A B)) (tptp.k6_pre_topc A (tptp.k1_struct_0 A C))) (tptp.r1_tarski (tptp.k4_tex_4 A C) (tptp.k1_setfam_1 (tptp.a_2_9_tex_4 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)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (tptp.r1_tarski (tptp.k3_tex_4 A B) (tptp.k1_setfam_1 (tptp.a_2_10_tex_4 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)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (tptp.r1_tarski (tptp.k3_tex_4 A B) (tptp.k1_setfam_1 (tptp.a_2_0_tex_4 A B))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_pre_topc B) (tptp.l1_pre_topc B) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B)))) (= (tptp.r2_hidden A (tptp.a_2_0_tex_4 B C)) (exists ((D $$unsorted)) (and (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B))) (= A D) (tptp.v4_pre_topc D B) (tptp.r1_tarski C D)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_pre_topc B) (tptp.l1_pre_topc B) (tptp.m1_subset_1 C (tptp.u1_struct_0 B))) (= (tptp.r2_hidden A (tptp.a_2_1_tex_4 B C)) (exists ((D $$unsorted)) (and (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B))) (= A D) (tptp.v4_pre_topc D B) (tptp.r2_hidden C D)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_pre_topc B) (tptp.l1_pre_topc B) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B)))) (= (tptp.r2_hidden A (tptp.a_2_2_tex_4 B C)) (exists ((D $$unsorted)) (and (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B))) (= A D) (tptp.v3_pre_topc D B) (tptp.r1_tarski D C)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.l1_pre_topc B) (tptp.m1_subset_1 C (tptp.u1_struct_0 B))) (= (tptp.r2_hidden A (tptp.a_2_3_tex_4 B C)) (exists ((D $$unsorted)) (and (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B))) (= A D) (tptp.v1_tex_4 D B) (tptp.r2_hidden C D)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.l1_pre_topc B) (tptp.m1_subset_1 C (tptp.u1_struct_0 B))) (= (tptp.r2_hidden A (tptp.a_2_4_tex_4 B C)) (exists ((D $$unsorted)) (and (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B))) (= A D) (tptp.v4_pre_topc D B) (tptp.r2_hidden C D)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.l1_pre_topc B) (tptp.m1_subset_1 C (tptp.u1_struct_0 B))) (= (tptp.r2_hidden A (tptp.a_2_5_tex_4 B C)) (exists ((D $$unsorted)) (and (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B))) (= A D) (tptp.v3_pre_topc D B) (tptp.r2_hidden C D)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.l1_pre_topc B) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B)))) (= (tptp.r2_hidden A (tptp.a_2_6_tex_4 B C)) (exists ((D $$unsorted)) (and (tptp.m1_subset_1 D (tptp.u1_struct_0 B)) (= A (tptp.k2_tex_4 B D)) (tptp.r2_hidden D C)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.l1_pre_topc B) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B)))) (= (tptp.r2_hidden A (tptp.a_2_7_tex_4 B C)) (exists ((D $$unsorted)) (and (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B))) (= A D) (tptp.v3_pre_topc D B) (tptp.r1_tarski C D)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.l1_pre_topc B) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B)))) (= (tptp.r2_hidden A (tptp.a_2_8_tex_4 B C)) (exists ((D $$unsorted)) (and (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B))) (= A D) (tptp.v4_pre_topc D B) (tptp.r1_tarski C D)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_pre_topc B) (tptp.l1_pre_topc B) (tptp.m1_subset_1 C (tptp.u1_struct_0 B))) (= (tptp.r2_hidden A (tptp.a_2_9_tex_4 B C)) (exists ((D $$unsorted)) (and (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B))) (= A D) (tptp.v3_pre_topc D B) (tptp.r2_hidden C D)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_pre_topc B) (tptp.l1_pre_topc B) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B)))) (= (tptp.r2_hidden A (tptp.a_2_10_tex_4 B C)) (exists ((D $$unsorted)) (and (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B))) (= A D) (tptp.v3_pre_topc D B) (tptp.r1_tarski C D)))))) (forall ((A $$unsorted)) (let ((_let_1 (not (tptp.v3_struct_0 A)))) (=> (tptp.l1_pre_topc A) (=> (and _let_1 (tptp.v3_realset2 A)) (and _let_1 (tptp.v2_t_0topsp A)))))) (forall ((A $$unsorted)) (let ((_let_1 (not (tptp.v3_struct_0 A)))) (=> (tptp.l1_pre_topc A) (=> (and _let_1 (not (tptp.v2_t_0topsp A))) (and _let_1 (not (tptp.v3_realset2 A))))))) (exists ((A $$unsorted)) (and (tptp.l1_pre_topc A) (not (tptp.v3_struct_0 A)) (tptp.v1_pre_topc A) (tptp.v2_pre_topc A) (tptp.v2_t_0topsp A))) (exists ((A $$unsorted)) (and (tptp.l1_pre_topc A) (not (tptp.v3_struct_0 A)) (not (tptp.v3_realset2 A)) (tptp.v1_pre_topc A) (tptp.v2_pre_topc A) (not (tptp.v2_t_0topsp A)))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.v2_pre_topc A))) (let ((_let_2 (not (tptp.v3_struct_0 A)))) (=> (tptp.l1_pre_topc A) (=> (and _let_2 _let_1 (tptp.v1_tdlat_3 A)) (and _let_2 _let_1 (tptp.v2_t_0topsp A))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.v2_pre_topc A))) (let ((_let_2 (not (tptp.v3_struct_0 A)))) (=> (tptp.l1_pre_topc A) (=> (and _let_2 _let_1 (not (tptp.v2_t_0topsp A))) (and _let_2 (not (tptp.v3_realset2 A)) _let_1 (not (tptp.v1_tdlat_3 A)))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.v2_pre_topc A))) (let ((_let_2 (not (tptp.v3_realset2 A)))) (let ((_let_3 (not (tptp.v3_struct_0 A)))) (=> (tptp.l1_pre_topc A) (=> (and _let_3 _let_2 _let_1 (tptp.v2_tdlat_3 A)) (and _let_3 _let_2 _let_1 (not (tptp.v2_t_0topsp A))))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.v2_t_0topsp A))) (let ((_let_2 (tptp.v2_tdlat_3 A))) (let ((_let_3 (tptp.v2_pre_topc A))) (let ((_let_4 (not (tptp.v3_struct_0 A)))) (=> (tptp.l1_pre_topc A) (=> (and _let_4 _let_3 _let_2 _let_1) (and _let_4 (tptp.v3_realset2 A) _let_3 (tptp.v1_tdlat_3 A) _let_2 (tptp.v3_tdlat_3 A) (tptp.v4_tdlat_3 A) (tptp.v5_tdlat_3 A) _let_1)))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.v2_pre_topc A))) (let ((_let_2 (not (tptp.v3_realset2 A)))) (let ((_let_3 (not (tptp.v3_struct_0 A)))) (=> (tptp.l1_pre_topc A) (=> (and _let_3 _let_2 _let_1 (tptp.v2_t_0topsp A)) (and _let_3 _let_2 _let_1 (not (tptp.v2_tdlat_3 A))))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.v2_t_0topsp A))) (let ((_let_2 (tptp.v3_tdlat_3 A))) (let ((_let_3 (tptp.v2_pre_topc A))) (let ((_let_4 (not (tptp.v3_struct_0 A)))) (=> (tptp.l1_pre_topc A) (=> (and _let_4 _let_3 _let_2 _let_1) (and _let_4 _let_3 (tptp.v1_tdlat_3 A) _let_2 (tptp.v4_tdlat_3 A) (tptp.v5_tdlat_3 A) _let_1)))))))) (forall ((A $$unsorted)) (let ((_let_1 (not (tptp.v1_tdlat_3 A)))) (let ((_let_2 (tptp.v2_pre_topc A))) (let ((_let_3 (not (tptp.v3_struct_0 A)))) (=> (tptp.l1_pre_topc A) (=> (and _let_3 _let_2 _let_1 (tptp.v3_tdlat_3 A)) (and _let_3 (not (tptp.v3_realset2 A)) _let_2 _let_1 (not (tptp.v2_t_0topsp A))))))))) (forall ((A $$unsorted)) (let ((_let_1 (not (tptp.v1_tdlat_3 A)))) (let ((_let_2 (tptp.v2_pre_topc A))) (let ((_let_3 (not (tptp.v3_struct_0 A)))) (=> (tptp.l1_pre_topc A) (=> (and _let_3 _let_2 _let_1 (tptp.v2_t_0topsp A)) (and _let_3 (not (tptp.v3_realset2 A)) _let_2 _let_1 (not (tptp.v2_tdlat_3 A)) (not (tptp.v3_tdlat_3 A))))))))) (exists ((A $$unsorted)) (and (tptp.l1_pre_topc A) (not (tptp.v3_struct_0 A)) (not (tptp.v3_realset2 A)) (tptp.v1_pre_topc A) (tptp.v2_pre_topc A) (not (tptp.v2_tdlat_3 A)) (tptp.v2_t_0topsp A))) (exists ((A $$unsorted)) (and (tptp.l1_pre_topc A) (not (tptp.v3_struct_0 A)) (not (tptp.v3_realset2 A)) (tptp.v1_pre_topc A) (tptp.v2_pre_topc A) (not (tptp.v1_tdlat_3 A)) (not (tptp.v2_t_0topsp A)))) (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) (tptp.v2_t_0topsp B))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (not (tptp.v3_realset2 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (exists ((B $$unsorted)) (and (tptp.m1_pre_topc B A) (not (tptp.v3_struct_0 B)) (tptp.v1_pre_topc B) (tptp.v2_tex_2 B A) (tptp.v2_t_0topsp B))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.v2_t_0topsp A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (let ((_let_1 (not (tptp.v3_struct_0 B)))) (=> (tptp.m1_pre_topc B A) (=> _let_1 (and _let_1 (tptp.v2_t_0topsp B)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (not (tptp.v2_t_0topsp A)) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (let ((_let_1 (not (tptp.v3_struct_0 B)))) (=> (tptp.m1_pre_topc B A) (=> (and _let_1 (not (tptp.v2_tex_2 B A))) (and _let_1 (not (tptp.v3_realset2 B)) (not (tptp.v2_t_0topsp B))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (not (tptp.v2_t_0topsp A)) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (let ((_let_1 (not (tptp.v3_struct_0 B)))) (=> (tptp.m1_pre_topc B A) (=> (and _let_1 (tptp.v2_t_0topsp B)) (and _let_1 (tptp.v2_tex_2 B A)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (not (tptp.v2_t_0topsp A)) (tptp.l1_pre_topc A)) (exists ((B $$unsorted)) (and (tptp.m1_pre_topc B A) (tptp.v1_pre_topc B) (not (tptp.v2_t_0topsp B)))))) (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (forall ((B $$unsorted)) (=> (tptp.l1_pre_topc B) (= (tptp.m1_tsp_1 B A) (and (tptp.r1_tarski (tptp.u1_struct_0 B) (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B))) (= (tptp.v3_pre_topc C B) (exists ((D $$unsorted)) (and (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (tptp.v3_pre_topc D A) (= C (tptp.k3_xboole_0 D (tptp.u1_struct_0 B)))))))))))))) true (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (forall ((B $$unsorted)) (=> (tptp.m1_tsp_1 B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (not (and (tptp.v3_pre_topc C A) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 _let_1)) (not (and (tptp.v3_pre_topc D B) (= D (tptp.k3_xboole_0 C _let_1))))))))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (forall ((B $$unsorted)) (=> (tptp.l1_pre_topc B) (= (tptp.m2_tsp_1 B A) (and (tptp.r1_tarski (tptp.u1_struct_0 B) (tptp.u1_struct_0 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) (= C (tptp.k3_xboole_0 D (tptp.u1_struct_0 B)))))))))))))) true (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (forall ((B $$unsorted)) (=> (tptp.m2_tsp_1 B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (not (and (tptp.v4_pre_topc C A) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 _let_1)) (not (and (tptp.v4_pre_topc D B) (= D (tptp.k3_xboole_0 C _let_1))))))))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (= (tptp.v2_t_0topsp A) (or (tptp.v3_struct_0 A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (not (and (not (= B C)) (forall ((D $$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 B D) (not (tptp.r2_hidden C D)))))) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (not (and (tptp.v3_pre_topc D A) (not (tptp.r2_hidden B D)) (tptp.r2_hidden C D))))))))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (= (tptp.v2_t_0topsp A) (or (tptp.v3_struct_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)) (not (and (not (= B C)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (not (and (tptp.v4_pre_topc D A) (tptp.r2_hidden B D) (not (tptp.r2_hidden C D)))))) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (not (and (tptp.v4_pre_topc D A) (not (tptp.r2_hidden B D)) (tptp.r2_hidden C D))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (= (tptp.v2_t_0topsp A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (not (and (not (= B C)) (= (tptp.k6_pre_topc A (tptp.k1_struct_0 A B)) (tptp.k6_pre_topc A (tptp.k1_struct_0 A C)))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (= (tptp.v2_t_0topsp 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)) (tptp.r2_hidden B (tptp.k6_pre_topc A (tptp.k1_struct_0 A C))) (tptp.r2_hidden C (tptp.k6_pre_topc A (tptp.k1_struct_0 A B)))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (= (tptp.v2_t_0topsp A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k6_pre_topc A (tptp.k1_struct_0 A C)))) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (not (and (not (= B C)) (tptp.r2_hidden B _let_1) (tptp.r1_tarski _let_1 (tptp.k6_pre_topc A (tptp.k1_struct_0 A B))))))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (tptp.v1_tsp_1 B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (not (and (tptp.r2_hidden C B) (tptp.r2_hidden D B) (not (= C D)) (forall ((E $$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 C E) (not (tptp.r2_hidden D E)))))) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (not (and (tptp.v3_pre_topc E A) (not (tptp.r2_hidden C E)) (tptp.r2_hidden D E)))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (tptp.v1_tsp_1 B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (not (and (tptp.r2_hidden C B) (tptp.r2_hidden D B) (not (= C D)) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (not (and (tptp.v4_pre_topc E A) (tptp.r2_hidden C E) (not (tptp.r2_hidden D E)))))) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (not (and (tptp.v4_pre_topc E A) (not (tptp.r2_hidden C E)) (tptp.r2_hidden D E)))))))))))))))) (forall ((A $$unsorted)) (=> (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 $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 _let_1)) (=> (and (= (tptp.g1_pre_topc (tptp.u1_struct_0 A) (tptp.u1_pre_topc A)) (tptp.g1_pre_topc _let_1 (tptp.u1_pre_topc B))) (= C D) (tptp.v1_tsp_1 C A)) (tptp.v1_tsp_1 D B))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 _let_1)) (=> (= B _let_1) (= (tptp.v1_tsp_1 B A) (tptp.v2_t_0topsp A)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 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))) (=> (and (tptp.r1_tarski C B) (tptp.v1_tsp_1 B A)) (tptp.v1_tsp_1 C A)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 _let_1)) (=> (or (tptp.v1_tsp_1 B A) (tptp.v1_tsp_1 C A)) (tptp.v1_tsp_1 (tptp.k5_subset_1 _let_1 B C) A))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 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_tsp_1 B A) (tptp.v1_tsp_1 C A)) (or (and (not (tptp.v3_pre_topc B A)) (not (tptp.v3_pre_topc C A))) (tptp.v1_tsp_1 (tptp.k4_subset_1 _let_1 B C) A)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 _let_1)) (=> (and (tptp.v1_tsp_1 B A) (tptp.v1_tsp_1 C A)) (or (and (not (tptp.v4_pre_topc B A)) (not (tptp.v4_pre_topc C A))) (tptp.v1_tsp_1 (tptp.k4_subset_1 _let_1 B C) A)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (tptp.v3_tex_2 B A) (tptp.v1_tsp_1 B A)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (not (and (tptp.v1_tex_4 B A) (not (tptp.v1_realset1 B)) (tptp.v1_tsp_1 B A))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (tptp.v1_tsp_1 B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (not (and (tptp.r2_hidden C B) (tptp.r2_hidden D B) (not (= C D)) (= (tptp.k6_pre_topc A (tptp.k1_struct_0 A C)) (tptp.k6_pre_topc A (tptp.k1_struct_0 A D)))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (tptp.v1_tsp_1 B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (not (and (tptp.r2_hidden C B) (tptp.r2_hidden D B) (not (= C D)) (tptp.r2_hidden C (tptp.k6_pre_topc A (tptp.k1_struct_0 A D))) (tptp.r2_hidden D (tptp.k6_pre_topc A (tptp.k1_struct_0 A C)))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (tptp.v1_tsp_1 B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k6_pre_topc A (tptp.k1_struct_0 A D)))) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (not (and (tptp.r2_hidden C B) (tptp.r2_hidden D B) (not (= C D)) (tptp.r2_hidden C _let_1) (tptp.r1_tarski _let_1 (tptp.k6_pre_topc A (tptp.k1_struct_0 A C))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_xboole_0 B) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (tptp.v1_tsp_1 B A))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (tptp.v1_tsp_1 (tptp.k1_struct_0 A B) A))))) (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (forall ((B $$unsorted)) (=> (tptp.m2_tsp_1 B A) (= (tptp.v2_t_0topsp B) (or (tptp.v3_struct_0 B) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (not (and (tptp.m1_subset_1 C _let_1) (tptp.m1_subset_1 D _let_1) (not (= C D)) (forall ((E $$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 C E) (not (tptp.r2_hidden D E)))))) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (not (and (tptp.v3_pre_topc E A) (not (tptp.r2_hidden C E)) (tptp.r2_hidden D E)))))))))))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (forall ((B $$unsorted)) (=> (tptp.m2_tsp_1 B A) (= (tptp.v2_t_0topsp B) (or (tptp.v3_struct_0 B) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (not (and (tptp.m1_subset_1 C _let_1) (tptp.m1_subset_1 D _let_1) (not (= C D)) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (not (and (tptp.v4_pre_topc E A) (tptp.r2_hidden C E) (not (tptp.r2_hidden D E)))))) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (not (and (tptp.v4_pre_topc E A) (not (tptp.r2_hidden C E)) (tptp.r2_hidden D E)))))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.m2_tsp_1 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (= C (tptp.u1_struct_0 B)) (= (tptp.v1_tsp_1 C A) (tptp.v2_t_0topsp B))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.m2_tsp_1 B A)) (forall ((C $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.v2_t_0topsp C) (tptp.m2_tsp_1 C A)) (=> (tptp.m2_tsp_1 B C) (tptp.v2_t_0topsp B)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_t_0topsp B) (tptp.m2_tsp_1 B A)) (forall ((C $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.m2_tsp_1 C A)) (=> (not (tptp.r1_tsep_1 A B C)) (tptp.v2_t_0topsp (tptp.k2_tsep_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.v2_t_0topsp B) (tptp.m2_tsp_1 B A)) (forall ((C $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.v2_t_0topsp C) (tptp.m2_tsp_1 C A)) (=> (or (tptp.v1_tsep_1 B A) (tptp.v1_tsep_1 C A)) (tptp.v2_t_0topsp (tptp.k1_tsep_1 A B C))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_t_0topsp B) (tptp.m2_tsp_1 B A)) (forall ((C $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.v2_t_0topsp C) (tptp.m2_tsp_1 C A)) (=> (or (tptp.v1_borsuk_1 B A) (tptp.v1_borsuk_1 C A)) (tptp.v2_t_0topsp (tptp.k1_tsep_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_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (not (and (tptp.v1_tsp_1 B A) (forall ((C $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.v1_pre_topc C) (tptp.v2_t_0topsp C) (tptp.m2_tsp_1 C A)) (not (= B (tptp.u1_struct_0 C))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (not (tptp.v2_t_0topsp A)) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (not (and (not (tptp.v1_tsp_1 B A)) (forall ((C $$unsorted)) (=> (and (tptp.v1_pre_topc C) (not (tptp.v2_t_0topsp C)) (tptp.m2_tsp_1 C A)) (not (= B (tptp.u1_struct_0 C))))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (forall ((B $$unsorted)) (=> (tptp.m1_tsp_1 B A) (tptp.l1_pre_topc B))))) (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (exists ((B $$unsorted)) (tptp.m1_tsp_1 B A)))) (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (forall ((B $$unsorted)) (= (tptp.m1_tsp_1 B A) (tptp.m1_pre_topc B A))))) (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (forall ((B $$unsorted)) (=> (tptp.m2_tsp_1 B A) (tptp.l1_pre_topc B))))) (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (exists ((B $$unsorted)) (tptp.m2_tsp_1 B A)))) (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (forall ((B $$unsorted)) (= (tptp.m2_tsp_1 B A) (tptp.m1_pre_topc B A))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.l1_pre_topc A) (tptp.m1_pre_topc B A)) (= (tptp.v2_tsp_1 B A) (tptp.v2_t_0topsp B)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.l1_pre_topc A) (tptp.m1_pre_topc B A)) (= (tptp.v3_tsp_1 B A) (tptp.v2_t_0topsp B)))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (let ((_let_1 (not (tptp.v3_struct_0 B)))) (=> (tptp.m1_pre_topc B A) (=> (and _let_1 (tptp.v2_tsp_2 B A)) (and _let_1 (tptp.v2_t_0topsp B)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (let ((_let_1 (not (tptp.v3_struct_0 B)))) (=> (tptp.m1_pre_topc B A) (=> (and _let_1 (not (tptp.v2_t_0topsp B))) (and _let_1 (not (tptp.v2_tsp_2 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_pre_topc B A) (=> (tptp.v2_tsp_2 B A) (and (tptp.v2_pre_topc B) (tptp.v1_tex_3 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_pre_topc B A) (=> (not (tptp.v1_tex_3 B A)) (and (tptp.v2_pre_topc B) (not (tptp.v2_tsp_2 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_pre_topc B A) (=> (and (tptp.v1_tsep_1 B A) (tptp.v2_tsp_2 B A)) (and (tptp.v2_pre_topc B) (not (tptp.v2_tex_2 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_pre_topc B A) (=> (and (tptp.v1_tsep_1 B A) (tptp.v2_tex_2 B A)) (and (tptp.v2_pre_topc B) (not (tptp.v2_tsp_2 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_pre_topc B A) (=> (and (tptp.v2_tex_2 B A) (tptp.v2_tsp_2 B A)) (and (tptp.v2_pre_topc B) (not (tptp.v1_tsep_1 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_pre_topc B A) (=> (and (tptp.v1_borsuk_1 B A) (tptp.v2_tsp_2 B A)) (and (tptp.v2_pre_topc B) (not (tptp.v2_tex_2 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_pre_topc B A) (=> (and (tptp.v2_tex_2 B A) (tptp.v1_borsuk_1 B A)) (and (tptp.v2_pre_topc B) (not (tptp.v2_tsp_2 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_pre_topc B A) (=> (and (tptp.v2_tex_2 B A) (tptp.v2_tsp_2 B A)) (and (tptp.v2_pre_topc B) (not (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_tex_3 B A) (tptp.v2_t_0topsp B) (tptp.v2_tsp_2 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.v1_tsp_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)) (=> (and (tptp.r2_hidden C B) (tptp.r2_hidden D B)) (or (= C D) (tptp.r1_subset_1 (tptp.k4_tex_4 A C) (tptp.k4_tex_4 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)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (tptp.v1_tsp_1 B A) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 C _let_1) (=> (tptp.r2_hidden C B) (= (tptp.k5_subset_1 _let_1 B (tptp.k4_tex_4 A C)) (tptp.k1_struct_0 A C))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (tptp.v1_tsp_1 B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (not (and (tptp.r2_hidden C B) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 _let_1)) (not (and (tptp.v3_tex_4 D A) (= (tptp.k5_subset_1 _let_1 B D) (tptp.k1_struct_0 A C)))))))))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (tptp.v1_tsp_2 B A) (and (tptp.v1_tsp_1 B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_tsp_1 C A) (tptp.r1_tarski B C)) (= B C)))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (forall ((B $$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)) (let ((_let_1 (tptp.u1_struct_0 B))) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 _let_1)) (=> (and (= (tptp.g1_pre_topc (tptp.u1_struct_0 A) (tptp.u1_pre_topc A)) (tptp.g1_pre_topc _let_1 (tptp.u1_pre_topc B))) (= C D) (tptp.v1_tsp_2 C A)) (tptp.v1_tsp_2 D 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))) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 _let_1)) (= (tptp.v1_tsp_2 B A) (and (tptp.v1_tsp_1 B A) (= (tptp.k3_tex_4 A B) _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))) (=> (tptp.v1_tsp_2 B A) (tptp.v1_tops_1 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)) (let ((_let_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (=> (tptp.m1_subset_1 B _let_1) (not (and (or (tptp.v3_pre_topc B A) (tptp.v4_pre_topc B A)) (tptp.v1_tsp_2 B A) (tptp.v1_tex_2 B _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 (tptp.v1_xboole_0 B) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (not (tptp.v1_tsp_2 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.v1_tsp_2 B A) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 _let_1)) (=> (tptp.v4_pre_topc C A) (= C (tptp.k3_tex_4 A (tptp.k5_subset_1 _let_1 B C)))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (tptp.v1_tsp_2 B A) (forall ((C $$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) (= C (tptp.k3_tex_4 A (tptp.k5_subset_1 _let_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)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (tptp.v1_tsp_2 B A) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k6_pre_topc A C))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 _let_2)) (= _let_1 (tptp.k3_tex_4 A (tptp.k5_subset_1 _let_2 B _let_1)))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (tptp.v1_tsp_2 B A) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k1_tops_1 A C))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 _let_2)) (= _let_1 (tptp.k3_tex_4 A (tptp.k5_subset_1 _let_2 B _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))) (= (tptp.v1_tsp_2 B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (exists ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (and (tptp.m1_subset_1 D _let_1) (tptp.r2_hidden D B) (= (tptp.k5_subset_1 _let_1 B (tptp.k4_tex_4 A C)) (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)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (not (and (tptp.v1_tsp_1 B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (not (and (tptp.r1_tarski B C) (tptp.v1_tsp_2 C A))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (exists ((B $$unsorted)) (and (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (tptp.v1_tsp_2 B A))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m2_tsp_1 B A) (= (tptp.v2_tsp_2 B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (= C (tptp.u1_struct_0 B)) (tptp.v1_tsp_2 C A))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m2_tsp_1 B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (= C (tptp.u1_struct_0 B)) (= (tptp.v1_tsp_2 C A) (tptp.v2_tsp_2 B A))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.m2_tsp_1 B A)) (= (tptp.v2_tsp_2 B A) (and (tptp.v2_t_0topsp B) (forall ((C $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.v2_t_0topsp C) (tptp.m2_tsp_1 C A)) (=> (tptp.m2_tsp_1 B C) (= (tptp.g1_pre_topc (tptp.u1_struct_0 B) (tptp.u1_pre_topc B)) (tptp.g1_pre_topc (tptp.u1_struct_0 C) (tptp.u1_pre_topc 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_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (not (and (tptp.v1_tsp_2 B A) (forall ((C $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.v1_pre_topc C) (tptp.m2_tsp_1 C A)) (not (and (tptp.v2_tsp_2 C A) (= B (tptp.u1_struct_0 C)))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_t_0topsp B) (tptp.m2_tsp_1 B A)) (exists ((C $$unsorted)) (and (tptp.v1_pre_topc C) (tptp.m2_tsp_1 C A) (tptp.m2_tsp_1 B C) (tptp.v2_tsp_2 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)) (=> (and (tptp.v2_tsp_2 B A) (tptp.m2_tsp_1 B 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.u1_struct_0 B))) (let ((_let_2 (tptp.k3_tex_4 A C))) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 _let_1)) (=> (= D C) (= (tptp.v3_pre_topc D B) (and (tptp.v3_pre_topc _let_2 A) (= D (tptp.k3_xboole_0 _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 (tptp.v2_tsp_2 B A) (tptp.m2_tsp_1 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (tptp.v3_pre_topc C A) (and (= C (tptp.k3_tex_4 A C)) (exists ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (and (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 _let_1)) (tptp.v3_pre_topc D B) (= D (tptp.k3_xboole_0 C _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 (tptp.v2_tsp_2 B A) (tptp.m2_tsp_1 B 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.u1_struct_0 B))) (let ((_let_2 (tptp.k3_tex_4 A C))) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 _let_1)) (=> (= D C) (= (tptp.v4_pre_topc D B) (and (tptp.v4_pre_topc _let_2 A) (= D (tptp.k3_xboole_0 _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 (tptp.v2_tsp_2 B A) (tptp.m2_tsp_1 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (tptp.v4_pre_topc C A) (and (= C (tptp.k3_tex_4 A C)) (exists ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (and (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 _let_1)) (tptp.v4_pre_topc D B) (= D (tptp.k3_xboole_0 C _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_tsp_2 B A) (tptp.m2_tsp_1 B A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.m2_relset_1 C _let_2 _let_1)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 _let_2)) (=> (and (= D _let_1) (forall ((E $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 E _let_1) (= (tptp.k5_subset_1 _let_1 D (tptp.k4_tex_4 A E)) (tptp.k1_struct_0 B (tptp.k8_funct_2 _let_1 (tptp.u1_struct_0 B) C E))))))) (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.v5_pre_topc C A B) (tptp.m2_relset_1 C _let_2 _let_1))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_tsp_2 B A) (tptp.m2_tsp_1 B A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (let ((_let_3 (tptp.m2_relset_1 C _let_2 _let_1))) (let ((_let_4 (tptp.v1_funct_2 C _let_2 _let_1))) (let ((_let_5 (tptp.v1_funct_1 C))) (=> (and _let_5 _let_4 _let_3) (=> (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 D _let_1) (tptp.r2_hidden (tptp.k8_funct_2 _let_1 (tptp.u1_struct_0 B) C D) (tptp.k4_tex_4 A D))))) (and _let_5 _let_4 (tptp.v5_pre_topc C A B) _let_3))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_tsp_2 B A) (tptp.m2_tsp_1 B A)) (forall ((C $$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.v5_pre_topc C A B) (tptp.m2_relset_1 C _let_2 _let_1)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (and (= D (tptp.u1_struct_0 B)) (forall ((E $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 E _let_1) (= (tptp.k5_subset_1 _let_1 D (tptp.k4_tex_4 A E)) (tptp.k1_struct_0 B (tptp.k8_funct_2 _let_1 (tptp.u1_struct_0 B) C E))))))) (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.v2_tsp_2 B A) (tptp.m2_tsp_1 B A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.v5_pre_topc C A B) (tptp.m2_relset_1 C _let_2 _let_1)) (=> (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 D _let_1) (tptp.r2_hidden (tptp.k8_funct_2 _let_1 (tptp.u1_struct_0 B) C D) (tptp.k4_tex_4 A D))))) (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.v2_tsp_2 B A) (tptp.m2_tsp_1 B A)) (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 $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_tsp_2 B A) (tptp.m2_tsp_1 B A)) (tptp.r1_borsuk_1 A B))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_tsp_2 B A) (tptp.m2_tsp_1 B A)) (forall ((C $$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.v5_pre_topc C A B) (tptp.m2_relset_1 C _let_2 _let_1)) (= (= C (tptp.k1_tsp_2 A B)) (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.v2_tsp_2 B A) (tptp.m2_tsp_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)) (=> (= C D) (= (tptp.k5_pre_topc A B (tptp.k1_tsp_2 A B) (tptp.k6_pre_topc B (tptp.k1_struct_0 B D))) (tptp.k6_pre_topc A (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.v3_struct_0 B)) (tptp.v2_tsp_2 B A) (tptp.m2_tsp_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)) (=> (= C D) (= (tptp.k5_pre_topc A B (tptp.k1_tsp_2 A B) (tptp.k1_struct_0 B D)) (tptp.k4_tex_4 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_tsp_2 B A) (tptp.m2_tsp_1 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))) (=> (= D C) (= (tptp.k5_pre_topc A B (tptp.k1_tsp_2 A B) D) (tptp.k3_tex_4 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_tsp_2 B A) (tptp.m2_tsp_1 B A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.v5_pre_topc C A B) (tptp.m2_relset_1 C _let_2 _let_1)) (= (= C (tptp.k2_tsp_2 A B)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (= D (tptp.u1_struct_0 B)) (forall ((E $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 E _let_1) (= (tptp.k5_subset_1 _let_1 D (tptp.k4_tex_4 A E)) (tptp.k1_struct_0 B (tptp.k8_funct_2 _let_1 (tptp.u1_struct_0 B) C E)))))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_tsp_2 B A) (tptp.m2_tsp_1 B A)) (forall ((C $$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.v5_pre_topc C A B) (tptp.m2_relset_1 C _let_2 _let_1)) (= (= C (tptp.k3_tsp_2 A B)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 D _let_1) (tptp.r2_hidden (tptp.k8_funct_2 _let_1 (tptp.u1_struct_0 B) C D) (tptp.k4_tex_4 A D)))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_tsp_2 B A) (tptp.m2_tsp_1 B A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k3_tsp_2 A B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 C _let_2) (= (tptp.k5_pre_topc A B _let_1 (tptp.k1_struct_0 B (tptp.k8_funct_2 _let_2 (tptp.u1_struct_0 B) _let_1 C))) (tptp.k4_tex_4 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_tsp_2 B A) (tptp.m2_tsp_1 B A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k3_tsp_2 A B))) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (tptp.k4_pre_topc A B _let_1 (tptp.k1_struct_0 A C)) (tptp.k4_pre_topc A B _let_1 (tptp.k4_tex_4 A C)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_tsp_2 B A) (tptp.m2_tsp_1 B A)) (forall ((C $$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.v5_pre_topc C A B) (tptp.m2_relset_1 C _let_2 _let_1)) (= (= C (tptp.k4_tsp_2 A B)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (= D (tptp.u1_struct_0 B)) (forall ((E $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 E (tptp.k1_zfmisc_1 _let_1)) (= (tptp.k5_subset_1 _let_1 D (tptp.k3_tex_4 A E)) (tptp.k4_pre_topc A B C 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_tsp_2 B A) (tptp.m2_tsp_1 B A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k4_tsp_2 A B))) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (tptp.k5_pre_topc A B _let_1 (tptp.k4_pre_topc A B _let_1 C)) (tptp.k3_tex_4 A C))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_tsp_2 B A) (tptp.m2_tsp_1 B A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k4_tsp_2 A B))) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (tptp.k4_pre_topc A B _let_1 C) (tptp.k4_pre_topc A B _let_1 (tptp.k3_tex_4 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_tsp_2 B A) (tptp.m2_tsp_1 B 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_tsp_2 A B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 _let_2)) (= (tptp.k4_pre_topc A B _let_1 (tptp.k4_subset_1 _let_2 C D)) (tptp.k4_subset_1 (tptp.u1_struct_0 B) (tptp.k4_pre_topc A B _let_1 C) (tptp.k4_pre_topc 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_tsp_2 B A) (tptp.m2_tsp_1 B 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_tsp_2 A B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 _let_2)) (=> (or (tptp.v3_pre_topc C A) (tptp.v3_pre_topc D A)) (= (tptp.k4_pre_topc A B _let_1 (tptp.k5_subset_1 _let_2 C D)) (tptp.k5_subset_1 (tptp.u1_struct_0 B) (tptp.k4_pre_topc A B _let_1 C) (tptp.k4_pre_topc 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_tsp_2 B A) (tptp.m2_tsp_1 B 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_tsp_2 A B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 _let_2)) (=> (or (tptp.v4_pre_topc C A) (tptp.v4_pre_topc D A)) (= (tptp.k4_pre_topc A B _let_1 (tptp.k5_subset_1 _let_2 C D)) (tptp.k5_subset_1 (tptp.u1_struct_0 B) (tptp.k4_pre_topc A B _let_1 C) (tptp.k4_pre_topc 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_tsp_2 B A) (tptp.m2_tsp_1 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (tptp.v3_pre_topc C A) (tptp.v3_pre_topc (tptp.k4_pre_topc A B (tptp.k4_tsp_2 A B) C) B)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_tsp_2 B A) (tptp.m2_tsp_1 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (tptp.v4_pre_topc C A) (tptp.v4_pre_topc (tptp.k4_pre_topc A B (tptp.k4_tsp_2 A B) C) B)))))))) (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.k1_tsp_2 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_tsp_2 B A) (tptp.m1_pre_topc B A)) (and (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.m2_relset_1 _let_3 _let_2 _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.k2_tsp_2 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_tsp_2 B A) (tptp.m1_pre_topc B A)) (and (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.m2_relset_1 _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_tsp_2 B A) (tptp.m1_pre_topc B A)) (= (tptp.k2_tsp_2 A B) (tptp.k1_tsp_2 A B)))) (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.k3_tsp_2 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_tsp_2 B A) (tptp.m1_pre_topc B A)) (and (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.m2_relset_1 _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_tsp_2 B A) (tptp.m1_pre_topc B A)) (= (tptp.k3_tsp_2 A B) (tptp.k1_tsp_2 A B)))) (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.k4_tsp_2 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_tsp_2 B A) (tptp.m1_pre_topc B A)) (and (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.m2_relset_1 _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_tsp_2 B A) (tptp.m1_pre_topc B A)) (= (tptp.k4_tsp_2 A B) (tptp.k1_tsp_2 A B)))) (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)))) (not (tptp.v1_xboole_0 (tptp.k7_filter_2 A B))))) (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 (tptp.k1_lattice2 A))))) (not (tptp.v1_xboole_0 (tptp.k8_filter_2 A B))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A) (not (tptp.v1_xboole_0 B)) (tptp.m1_subset_1 B _let_1) (not (tptp.v1_xboole_0 C)) (tptp.m1_subset_1 C _let_1)) (not (tptp.v1_xboole_0 (tptp.k20_filter_2 A B C)))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k1_lattice2 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.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) (tptp.v11_lattices _let_1) (tptp.v12_lattices _let_1) (tptp.v13_lattices _let_1) (tptp.v14_lattices _let_1) (tptp.v15_lattices _let_1) (tptp.v16_lattices _let_1) (tptp.v17_lattices _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k23_filter_2 A B))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A) (not (tptp.v1_xboole_0 B)) (tptp.m2_lattice4 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 $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A))) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_1 A) (tptp.m2_relset_1 C _let_1 A)) (forall ((D $$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)) (=> (= D (tptp.k1_realset1 C B)) (and (=> (tptp.v1_binop_1 C A) (tptp.v1_binop_1 D B)) (=> (tptp.v3_binop_1 C A) (tptp.v3_binop_1 D B)) (=> (tptp.v2_binop_1 C A) (tptp.v2_binop_1 D B)))))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A))) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_1 A) (tptp.m2_relset_1 C _let_1 A)) (forall ((D $$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)) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E A) (forall ((F $$unsorted)) (=> (tptp.m2_subset_1 F A B) (=> (and (= D (tptp.k1_realset1 C B)) (= F E)) (and (=> (tptp.r1_binop_1 A E C) (tptp.r1_binop_1 B F D)) (=> (tptp.r2_binop_1 A E C) (tptp.r2_binop_1 B F D)) (=> (tptp.r3_binop_1 A E C) (tptp.r3_binop_1 B F D)))))))))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A))) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_1 A) (tptp.m2_relset_1 C _let_1 A)) (forall ((D $$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 (= E (tptp.k1_realset1 C B)) (= F (tptp.k1_realset1 D B))) (and (=> (tptp.r4_binop_1 A C D) (tptp.r4_binop_1 B E F)) (=> (tptp.r5_binop_1 A C D) (tptp.r5_binop_1 B E F)))))))))))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A))) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_1 A) (tptp.m2_relset_1 C _let_1 A)) (forall ((D $$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 (= E (tptp.k1_realset1 C B)) (= F (tptp.k1_realset1 D B)) (tptp.r6_binop_1 A C D)) (tptp.r6_binop_1 B E F)))))))))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A))) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_1 A) (tptp.m2_relset_1 C _let_1 A)) (forall ((D $$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 (= E (tptp.k1_realset1 C B)) (= F (tptp.k1_realset1 D B)) (tptp.r1_lattice2 A C D)) (tptp.r1_lattice2 B E F)))))))))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 A)) (= (tptp.r1_filter_2 A B C) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D A) (= (tptp.r2_hidden D B) (tptp.r2_hidden D C))))))))))) (forall ((A $$unsorted)) (=> (tptp.l3_lattices A) (forall ((B $$unsorted)) (=> (tptp.l3_lattices B) (=> (= (tptp.g3_lattices (tptp.u1_struct_0 A) (tptp.u2_lattices A) (tptp.u1_lattices A)) (tptp.g3_lattices (tptp.u1_struct_0 B) (tptp.u2_lattices B) (tptp.u1_lattices B))) (= (tptp.k1_lattice2 A) (tptp.k1_lattice2 B))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (= (tptp.k1_lattice2 (tptp.k1_lattice2 A)) (tptp.g3_lattices (tptp.u1_struct_0 A) (tptp.u2_lattices A) (tptp.u1_lattices A))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.l3_lattices B)) (=> (= (tptp.g3_lattices (tptp.u1_struct_0 A) (tptp.u2_lattices A) (tptp.u1_lattices A)) (tptp.g3_lattices (tptp.u1_struct_0 B) (tptp.u2_lattices B) (tptp.u1_lattices B))) (forall ((C $$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 $$unsorted)) (let ((_let_1 (tptp.r1_lattices A C D))) (let ((_let_2 (tptp.r1_lattices B E F))) (=> (tptp.m1_subset_1 F (tptp.u1_struct_0 B)) (=> (and (= C E) (= D F)) (and (= (tptp.k1_lattices A C D) (tptp.k1_lattices B E F)) (= (tptp.k2_lattices A C D) (tptp.k2_lattices B E F)) (=> _let_1 _let_2) (=> _let_2 _let_1)))))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v13_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v10_lattices B) (tptp.v13_lattices B) (tptp.l3_lattices B)) (=> (= (tptp.g3_lattices (tptp.u1_struct_0 A) (tptp.u2_lattices A) (tptp.u1_lattices A)) (tptp.g3_lattices (tptp.u1_struct_0 B) (tptp.u2_lattices B) (tptp.u1_lattices B))) (= (tptp.k5_lattices A) (tptp.k5_lattices B))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v14_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v10_lattices B) (tptp.v14_lattices B) (tptp.l3_lattices B)) (=> (= (tptp.g3_lattices (tptp.u1_struct_0 A) (tptp.u2_lattices A) (tptp.u1_lattices A)) (tptp.g3_lattices (tptp.u1_struct_0 B) (tptp.u2_lattices B) (tptp.u1_lattices B))) (= (tptp.k6_lattices A) (tptp.k6_lattices B))))))) (forall ((A $$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 $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v10_lattices B) (tptp.v15_lattices B) (tptp.v16_lattices B) (tptp.l3_lattices B)) (=> (= (tptp.g3_lattices (tptp.u1_struct_0 A) (tptp.u2_lattices A) (tptp.u1_lattices A)) (tptp.g3_lattices (tptp.u1_struct_0 B) (tptp.u2_lattices B) (tptp.u1_lattices B))) (forall ((C $$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 $$unsorted)) (=> (tptp.m1_subset_1 F (tptp.u1_struct_0 B)) (=> (and (= C E) (= D F) (tptp.r2_lattices A C D)) (tptp.r2_lattices B E F))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v17_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v10_lattices B) (tptp.v17_lattices B) (tptp.l3_lattices B)) (=> (= (tptp.g3_lattices (tptp.u1_struct_0 A) (tptp.u2_lattices A) (tptp.u1_lattices A)) (tptp.g3_lattices (tptp.u1_struct_0 B) (tptp.u2_lattices B) (tptp.u1_lattices B))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 B)) (=> (= C D) (= (tptp.k7_lattices A C) (tptp.k7_lattices B D)))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (= (and (tptp.r2_hidden C B) (tptp.r2_hidden D B)) (tptp.r2_hidden (tptp.k4_lattices A C D) B)))))) (tptp.m2_lattice4 B A)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (= (and (tptp.r2_hidden C B) (tptp.r2_hidden D B)) (tptp.r2_hidden (tptp.k3_lattices A C D) B)))))) (tptp.m2_lattice4 B A)))))) true (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.m2_lattice4 B A)) (= (tptp.m2_filter_2 B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (= (and (tptp.r2_hidden C B) (tptp.r2_hidden D B)) (tptp.r2_hidden (tptp.k3_lattices A C D) B))))))))))) (forall ((A $$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)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (= (and (tptp.r2_hidden C B) (tptp.r2_hidden D B)) (tptp.r2_hidden (tptp.k3_lattices A C D) B)))))) (tptp.m2_filter_2 B A)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v10_lattices B) (tptp.l3_lattices B)) (=> (= (tptp.g3_lattices (tptp.u1_struct_0 A) (tptp.u2_lattices A) (tptp.u1_lattices A)) (tptp.g3_lattices (tptp.u1_struct_0 B) (tptp.u2_lattices B) (tptp.u1_lattices B))) (forall ((C $$unsorted)) (=> (tptp.m1_filter_2 C A) (tptp.m1_filter_2 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.l3_lattices B)) (=> (= (tptp.g3_lattices (tptp.u1_struct_0 A) (tptp.u2_lattices A) (tptp.u1_lattices A)) (tptp.g3_lattices (tptp.u1_struct_0 B) (tptp.u2_lattices B) (tptp.u1_lattices B))) (forall ((C $$unsorted)) (=> (tptp.m2_filter_2 C A) (tptp.m2_filter_2 C B)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (= (tptp.k5_filter_2 A B) B))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 (tptp.k1_lattice2 A))) (= (tptp.k6_filter_2 A B) B))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 (tptp.k1_lattice2 A))) (and (= (tptp.k6_filter_2 A (tptp.k5_filter_2 A B)) B) (= (tptp.k5_filter_2 A (tptp.k6_filter_2 A C)) 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 (tptp.k1_lattice2 A))) (forall ((E $$unsorted)) (let ((_let_1 (tptp.k6_filter_2 A E))) (let ((_let_2 (tptp.k6_filter_2 A D))) (let ((_let_3 (tptp.k1_lattice2 A))) (let ((_let_4 (tptp.k5_filter_2 A C))) (let ((_let_5 (tptp.k5_filter_2 A B))) (=> (tptp.m1_subset_1 E (tptp.u1_struct_0 _let_3)) (and (= (tptp.k4_lattices A B C) (tptp.k3_lattices _let_3 _let_5 _let_4)) (= (tptp.k3_lattices A B C) (tptp.k4_lattices _let_3 _let_5 _let_4)) (= (tptp.k4_lattices _let_3 D E) (tptp.k3_lattices A _let_2 _let_1)) (= (tptp.k3_lattices _let_3 D E) (tptp.k4_lattices A _let_2 _let_1)))))))))))))))))) (forall ((A $$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 $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 (tptp.k1_lattice2 A))) (forall ((E $$unsorted)) (let ((_let_1 (tptp.k1_lattice2 A))) (let ((_let_2 (tptp.r3_lattices _let_1 D E))) (let ((_let_3 (tptp.r3_lattices A (tptp.k6_filter_2 A E) (tptp.k6_filter_2 A D)))) (let ((_let_4 (tptp.r3_lattices A B C))) (let ((_let_5 (tptp.r3_lattices _let_1 (tptp.k5_filter_2 A C) (tptp.k5_filter_2 A B)))) (=> (tptp.m1_subset_1 E (tptp.u1_struct_0 _let_1)) (and (=> _let_4 _let_5) (=> _let_5 _let_4) (=> _let_2 _let_3) (=> _let_3 _let_2))))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (= (tptp.m2_filter_2 B A) (tptp.m1_filter_2 B (tptp.k1_lattice2 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.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (tptp.k7_filter_2 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.k1_zfmisc_1 (tptp.u1_struct_0 (tptp.k1_lattice2 A)))) (= (tptp.k8_filter_2 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)))) (= (tptp.m2_filter_2 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.k3_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 D C)) (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.m2_filter_2 D A) (=> (tptp.r2_hidden B D) (and (tptp.r2_hidden (tptp.k4_lattices A B C) D) (tptp.r2_hidden (tptp.k4_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.m2_filter_2 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 $$unsorted)) (=> (tptp.m2_filter_2 B A) (=> (tptp.v13_lattices A) (tptp.r2_hidden (tptp.k5_lattices A) B)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (=> (tptp.v13_lattices A) (tptp.m2_filter_2 (tptp.k6_domain_1 (tptp.u1_struct_0 A) (tptp.k5_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.m2_filter_2 (tptp.k6_domain_1 _let_1 B) A) (tptp.v13_lattices A))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (tptp.m2_filter_2 (tptp.u1_struct_0 A) A))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (= (tptp.k17_filter_2 A) (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_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (tptp.r2_hidden B (tptp.k18_filter_2 A C)) (tptp.r3_lattices A B C)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k5_filter_2 A B))) (let ((_let_2 (tptp.k1_lattice2 A))) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (and (= (tptp.k18_filter_2 A B) (tptp.k2_filter_2 _let_2 _let_1)) (= (tptp.k18_filter_2 _let_2 _let_1) (tptp.k2_filter_2 A B))))))))) (forall ((A $$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)) (let ((_let_1 (tptp.k18_filter_2 A B))) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (and (tptp.r2_hidden B _let_1) (tptp.r2_hidden (tptp.k4_lattices A B C) _let_1) (tptp.r2_hidden (tptp.k4_lattices A C B) _let_1))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (=> (tptp.v14_lattices A) (tptp.r1_filter_2 (tptp.u1_struct_0 A) (tptp.k17_filter_2 A) (tptp.k18_filter_2 A (tptp.k6_lattices A)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m2_filter_2 B A) (= (tptp.r2_filter_2 A B) (and (not (= B (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m2_filter_2 C A) (=> (tptp.r1_tarski B C) (or (= C _let_1) (tptp.r1_filter_2 _let_1 B C)))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m2_filter_2 B A) (= (tptp.r2_filter_2 A B) (tptp.v1_filter_0 (tptp.k15_filter_2 A B) (tptp.k1_lattice2 A))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (=> (tptp.v14_lattices A) (forall ((B $$unsorted)) (=> (tptp.m2_filter_2 B A) (not (and (not (= B (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (=> (tptp.m2_filter_2 C A) (not (and (tptp.r1_tarski B C) (tptp.r2_filter_2 A C)))))))))))) (forall ((A $$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.k3_lattices A B C) B)))) (= (tptp.k18_filter_2 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 (tptp.v14_lattices A) (not (= B (tptp.k6_lattices A))) (forall ((C $$unsorted)) (=> (tptp.m2_filter_2 C A) (not (and (tptp.r2_hidden B C) (tptp.r2_filter_2 A C))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (forall ((C $$unsorted)) (=> (tptp.m2_filter_2 C A) (= (= C (tptp.k19_filter_2 A B)) (and (tptp.r1_tarski B C) (forall ((D $$unsorted)) (=> (tptp.m2_filter_2 D A) (=> (tptp.r1_tarski B D) (tptp.r1_tarski C D)))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k8_filter_2 A C))) (let ((_let_2 (tptp.k1_lattice2 A))) (let ((_let_3 (tptp.k7_filter_2 A B))) (=> (and (not (tptp.v1_xboole_0 C)) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 _let_2)))) (and (= (tptp.k3_filter_2 _let_2 _let_3) (tptp.k19_filter_2 A B)) (= (tptp.k3_filter_2 A B) (tptp.k19_filter_2 _let_2 _let_3)) (= (tptp.k3_filter_2 A _let_1) (tptp.k19_filter_2 _let_2 C)) (= (tptp.k3_filter_2 _let_2 C) (tptp.k19_filter_2 A _let_1)))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m2_filter_2 B A) (tptp.r1_filter_2 (tptp.u1_struct_0 A) (tptp.k19_filter_2 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 $$unsorted)) (=> (and (not (tptp.v1_xboole_0 C)) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k19_filter_2 A B))) (=> (and (not (tptp.v1_xboole_0 D)) (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (and (=> (tptp.r1_tarski C D) (tptp.r1_tarski (tptp.k19_filter_2 A C) (tptp.k19_filter_2 A D))) (tptp.r1_tarski (tptp.k19_filter_2 A _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_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (and (not (tptp.v1_xboole_0 C)) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (=> (tptp.r2_hidden B C) (tptp.r1_tarski (tptp.k18_filter_2 A B) (tptp.k19_filter_2 A C))))))))) (forall ((A $$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))) (=> (tptp.r1_filter_2 _let_1 C (tptp.k6_domain_1 _let_1 B)) (tptp.r1_filter_2 _let_1 (tptp.k19_filter_2 A C) (tptp.k18_filter_2 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.k19_filter_2 A B))) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 _let_1))) (=> (and (tptp.v14_lattices A) (tptp.r2_hidden (tptp.k6_lattices A) B)) (and (tptp.r1_filter_2 _let_1 _let_2 (tptp.k17_filter_2 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)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m2_filter_2 B A) (=> (and (tptp.v14_lattices A) (tptp.r2_hidden (tptp.k6_lattices A) B)) (and (tptp.r1_filter_2 _let_1 B (tptp.k17_filter_2 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.m2_filter_2 B A) (= (tptp.v1_filter_2 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.k4_lattices A C D) B) (or (tptp.r2_hidden C B) (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.m2_filter_2 B A) (= (tptp.v1_filter_2 B A) (tptp.v2_filter_0 (tptp.k15_filter_2 A B) (tptp.k1_lattice2 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 $$unsorted)) (=> (and (not (tptp.v1_xboole_0 C)) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (forall ((D $$unsorted)) (=> (and (not (tptp.v1_xboole_0 D)) (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 (tptp.k1_lattice2 A))))) (forall ((E $$unsorted)) (let ((_let_1 (tptp.k1_lattice2 A))) (let ((_let_2 (tptp.k8_filter_2 A E))) (let ((_let_3 (tptp.k8_filter_2 A D))) (let ((_let_4 (tptp.k7_filter_2 A C))) (let ((_let_5 (tptp.k7_filter_2 A B))) (=> (and (not (tptp.v1_xboole_0 E)) (tptp.m1_subset_1 E (tptp.k1_zfmisc_1 (tptp.u1_struct_0 _let_1)))) (and (= (tptp.k20_filter_2 A B C) (tptp.k5_filter_0 _let_1 _let_5 _let_4)) (= (tptp.k20_filter_2 _let_1 _let_5 _let_4) (tptp.k5_filter_0 A B C)) (= (tptp.k20_filter_2 _let_1 D E) (tptp.k5_filter_0 A _let_3 _let_2)) (= (tptp.k20_filter_2 A _let_3 _let_2) (tptp.k5_filter_0 _let_1 D E)))))))))))))))))) (forall ((A $$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)) (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.k20_filter_2 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.k3_lattices A B C) _let_1) (tptp.r2_hidden (tptp.k3_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.k20_filter_2 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.k3_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 $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v1_xboole_0 C)) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 _let_1))) (tptp.r1_filter_2 _let_1 (tptp.k20_filter_2 A B C) (tptp.k20_filter_2 A C B))))))))) (forall ((A $$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.k19_filter_2 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 (tptp.r1_filter_2 _let_1 _let_2 (tptp.k19_filter_2 A (tptp.k4_subset_1 _let_1 (tptp.k19_filter_2 A B) C))) (tptp.r1_filter_2 _let_1 _let_2 (tptp.k19_filter_2 A (tptp.k4_subset_1 _let_1 B (tptp.k19_filter_2 A C))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m2_filter_2 B A) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k20_filter_2 A B C))) (=> (tptp.m2_filter_2 C A) (and (tptp.r1_tarski B _let_1) (tptp.r1_tarski C _let_1))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m2_filter_2 B A) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m2_filter_2 C A) (tptp.r1_filter_2 _let_1 (tptp.k19_filter_2 A (tptp.k4_subset_1 _let_1 B C)) (tptp.k19_filter_2 A (tptp.k20_filter_2 A B C)))))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k1_lattice2 A))) (let ((_let_2 (tptp.l3_lattices A))) (let ((_let_3 (tptp.v10_lattices A))) (let ((_let_4 (not (tptp.v3_struct_0 A)))) (=> (and _let_4 _let_3 _let_2) (= (and _let_4 _let_3 (tptp.v15_lattices A) (tptp.v16_lattices A) _let_2) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v10_lattices _let_1) (tptp.v15_lattices _let_1) (tptp.v16_lattices _let_1) (tptp.l3_lattices _let_1))))))))) (forall ((A $$unsorted)) (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.v17_lattices A) _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 $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v17_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k1_lattice2 A))) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 _let_1)) (and (= (tptp.k7_lattices _let_1 (tptp.k5_filter_2 A B)) (tptp.k7_lattices A B)) (= (tptp.k7_lattices A (tptp.k6_filter_2 A C)) (tptp.k7_lattices _let_1 C)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v17_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m2_filter_2 B A) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m2_filter_2 C A) (tptp.r1_filter_2 _let_1 (tptp.k19_filter_2 A (tptp.k4_subset_1 _let_1 B C)) (tptp.k21_filter_2 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.m2_filter_2 B A) (= (tptp.r2_filter_2 A B) (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 $$unsorted)) (=> (tptp.m2_filter_2 B A) (= (and (not (= B (tptp.k17_filter_2 A))) (tptp.v1_filter_2 B A)) (tptp.r2_filter_2 A B)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v17_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m2_filter_2 B A) (=> (tptp.r2_filter_2 A B) (forall ((C $$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.m2_filter_2 D A) (not (and (tptp.r2_filter_2 A D) (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)) (let ((_let_1 (tptp.k2_zfmisc_1 B B))) (let ((_let_2 (tptp.k1_realset1 (tptp.u1_lattices A) B))) (let ((_let_3 (tptp.k1_realset1 (tptp.u2_lattices A) B))) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.m2_lattice4 B A)) (and (tptp.v1_funct_1 _let_3) (tptp.v1_funct_2 _let_3 _let_1 B) (tptp.m2_relset_1 _let_3 _let_1 B) (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 $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.m2_lattice4 B A)) (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.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 (= C (tptp.k1_realset1 (tptp.u2_lattices A) B)) (= D (tptp.k1_realset1 (tptp.u1_lattices A) B))) (and (tptp.v1_binop_1 C B) (tptp.v2_binop_1 C B) (tptp.v1_binop_1 D B) (tptp.v2_binop_1 D B) (tptp.r1_lattice2 B C D) (tptp.r1_lattice2 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)) (=> (tptp.r3_lattices A B C) (= (tptp.r2_hidden D (tptp.k22_filter_2 A B C)) (and (tptp.r3_lattices A B D) (tptp.r3_lattices A 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 $$unsorted)) (let ((_let_1 (tptp.k22_filter_2 A B C))) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (=> (tptp.r3_lattices A B C) (and (tptp.r2_hidden B _let_1) (tptp.r2_hidden C _let_1)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 B _let_1) (tptp.r1_filter_2 _let_1 (tptp.k22_filter_2 A B B) (tptp.k6_domain_1 _let_1 B))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 B _let_1) (=> (tptp.v14_lattices A) (tptp.r1_filter_2 _let_1 (tptp.k2_filter_2 A B) (tptp.k22_filter_2 A B (tptp.k6_lattices A))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 B _let_1) (=> (tptp.v13_lattices A) (tptp.r1_filter_2 _let_1 (tptp.k18_filter_2 A B) (tptp.k22_filter_2 A (tptp.k5_lattices A) B)))))))) (forall ((A $$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_filter_2 C A) (forall ((D $$unsorted)) (=> (tptp.m1_filter_2 D B) (=> (and (= (tptp.g3_lattices (tptp.u1_struct_0 A) (tptp.u2_lattices A) (tptp.u1_lattices A)) (tptp.g3_lattices (tptp.u1_struct_0 B) (tptp.u2_lattices B) (tptp.u1_lattices B))) (= C D)) (= (tptp.k8_filter_0 A C) (tptp.k8_filter_0 B D))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v10_lattices B) (tptp.l3_lattices B)) (= (tptp.m2_nat_lat B A) (exists ((C $$unsorted)) (and (not (tptp.v1_xboole_0 C)) (tptp.m2_lattice4 C A) (exists ((D $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 C C))) (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D _let_1 C) (tptp.m2_relset_1 D _let_1 C) (exists ((E $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 C C))) (and (tptp.v1_funct_1 E) (tptp.v1_funct_2 E _let_1 C) (tptp.m2_relset_1 E _let_1 C) (= D (tptp.k1_realset1 (tptp.u2_lattices A) C)) (= E (tptp.k1_realset1 (tptp.u1_lattices A) C)) (= (tptp.g3_lattices (tptp.u1_struct_0 B) (tptp.u2_lattices B) (tptp.u1_lattices B)) (tptp.g3_lattices C D E))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m2_nat_lat B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 B)) (tptp.m1_subset_1 C (tptp.u1_struct_0 A)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.m2_lattice4 B A)) (forall ((C $$unsorted)) (=> (tptp.m2_nat_lat C A) (= (= C (tptp.k23_filter_2 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))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_filter_2 B A) (= (tptp.k8_filter_0 A B) (tptp.k23_filter_2 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.k1_lattice2 A))) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.m2_lattice4 B A)) (= (tptp.k23_filter_2 A B) (tptp.k24_filter_2 _let_1 (tptp.k23_filter_2 _let_1 (tptp.k10_filter_2 A B))))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.g3_lattices (tptp.u1_struct_0 A) (tptp.u2_lattices A) (tptp.u1_lattices A)))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (and (= (tptp.k23_filter_2 A (tptp.k17_filter_2 A)) _let_1) (= (tptp.k23_filter_2 A (tptp.k1_filter_2 A)) _let_1))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k23_filter_2 A B))) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.m2_lattice4 B A)) (and (= (tptp.u1_struct_0 _let_1) B) (= (tptp.u2_lattices _let_1) (tptp.k1_realset1 (tptp.u2_lattices A) B)) (= (tptp.u1_lattices _let_1) (tptp.k1_realset1 (tptp.u1_lattices A) B)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.m2_lattice4 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.u1_struct_0 (tptp.k23_filter_2 A B))) (forall ((F $$unsorted)) (let ((_let_1 (tptp.k23_filter_2 A B))) (=> (tptp.m1_subset_1 F (tptp.u1_struct_0 _let_1)) (=> (and (= C E) (= D F)) (and (= (tptp.k3_lattices A C D) (tptp.k3_lattices _let_1 E F)) (= (tptp.k4_lattices A C D) (tptp.k4_lattices _let_1 E F))))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.m2_lattice4 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.u1_struct_0 (tptp.k23_filter_2 A B))) (forall ((F $$unsorted)) (let ((_let_1 (tptp.k23_filter_2 A B))) (=> (tptp.m1_subset_1 F (tptp.u1_struct_0 _let_1)) (=> (and (= C E) (= D F)) (= (tptp.r3_lattices A C D) (tptp.r3_lattices _let_1 E F)))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m2_filter_2 B A) (=> (tptp.v13_lattices A) (tptp.v13_lattices (tptp.k23_filter_2 A B))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.m2_lattice4 B A)) (=> (tptp.v12_lattices A) (tptp.v12_lattices (tptp.k23_filter_2 A B))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.m2_lattice4 B A)) (=> (tptp.v11_lattices A) (tptp.v11_lattices (tptp.k23_filter_2 A B))))))) (forall ((A $$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)) (=> (and (tptp.v3_filter_0 A) (tptp.r3_lattices A B C)) (tptp.v3_filter_0 (tptp.k23_filter_2 A (tptp.k22_filter_2 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_subset_1 B (tptp.u1_struct_0 A)) (tptp.v14_lattices (tptp.k23_filter_2 A (tptp.k18_filter_2 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.k6_lattices (tptp.k23_filter_2 A (tptp.k18_filter_2 A 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.k23_filter_2 A (tptp.k18_filter_2 A B)))) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (=> (tptp.v13_lattices A) (and (tptp.v13_lattices _let_1) (= (tptp.k5_lattices _let_1) (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)) (=> (tptp.v13_lattices A) (tptp.v15_lattices (tptp.k23_filter_2 A (tptp.k18_filter_2 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 $$unsorted)) (let ((_let_1 (tptp.k23_filter_2 A (tptp.k22_filter_2 A B C)))) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (=> (tptp.r3_lattices A B C) (and (tptp.v15_lattices _let_1) (= (tptp.k6_lattices _let_1) C) (= (tptp.k5_lattices _let_1) B)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k23_filter_2 A (tptp.k18_filter_2 A B)))) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v15_lattices A) (tptp.v16_lattices A) (tptp.l3_lattices A) (tptp.v12_lattices A)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v10_lattices _let_1) (tptp.v15_lattices _let_1) (tptp.v16_lattices _let_1) (tptp.l3_lattices _let_1)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k23_filter_2 A (tptp.k22_filter_2 A B C)))) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v15_lattices A) (tptp.v16_lattices A) (tptp.l3_lattices A) (tptp.v12_lattices A) (tptp.r3_lattices A B C)) (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)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k23_filter_2 A (tptp.k22_filter_2 A B C)))) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v17_lattices A) (tptp.l3_lattices A) (tptp.r3_lattices A B C)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v10_lattices _let_1) (tptp.v17_lattices _let_1) (tptp.l3_lattices _let_1)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_filter_2 B A) (and (not (tptp.v1_xboole_0 B)) (tptp.m2_lattice4 B A)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (exists ((B $$unsorted)) (tptp.m1_filter_2 B A)))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (= (tptp.m1_filter_2 B A) (tptp.m1_filter_0 B A))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m2_filter_2 B A) (and (not (tptp.v1_xboole_0 B)) (tptp.m2_lattice4 B A)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (exists ((B $$unsorted)) (tptp.m2_filter_2 B A)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 A))) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (=> (tptp.r1_filter_2 A B C) (tptp.r1_filter_2 A C B))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 A))) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (tptp.r1_filter_2 A B B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 A))) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (= (tptp.r1_filter_2 A B C) (= B C))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (tptp.m1_filter_2 (tptp.k1_filter_2 A) A))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (= (tptp.k1_filter_2 A) (tptp.k1_filter_0 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_2 (tptp.k2_filter_2 A B) 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.k2_filter_2 A B) (tptp.k2_filter_0 A B)))) (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_2 (tptp.k3_filter_2 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.k3_filter_2 A B) (tptp.k3_filter_0 A B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v11_lattices A) (tptp.l3_lattices A) (tptp.m1_filter_0 B A) (tptp.m1_filter_0 C A)) (tptp.m1_filter_2 (tptp.k4_filter_2 A B C) A))) (forall ((A $$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.k4_filter_2 A B C) (tptp.k5_filter_0 A B C)))) (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_subset_1 (tptp.k5_filter_2 A B) (tptp.u1_struct_0 (tptp.k1_lattice2 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 (tptp.k1_lattice2 A)))) (tptp.m1_subset_1 (tptp.k6_filter_2 A B) (tptp.u1_struct_0 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.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (tptp.m1_subset_1 (tptp.k7_filter_2 A B) (tptp.k1_zfmisc_1 (tptp.u1_struct_0 (tptp.k1_lattice2 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.k1_zfmisc_1 (tptp.u1_struct_0 (tptp.k1_lattice2 A))))) (tptp.m1_subset_1 (tptp.k8_filter_2 A B) (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A) (tptp.m2_lattice4 B A)) (tptp.m2_lattice4 (tptp.k9_filter_2 A B) (tptp.k1_lattice2 A)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A) (tptp.m2_lattice4 B A)) (= (tptp.k9_filter_2 A B) (tptp.k7_filter_2 A B)))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k10_filter_2 A B))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A) (not (tptp.v1_xboole_0 B)) (tptp.m2_lattice4 B A)) (and (not (tptp.v1_xboole_0 _let_1)) (tptp.m2_lattice4 _let_1 (tptp.k1_lattice2 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.m2_lattice4 B A)) (= (tptp.k10_filter_2 A B) (tptp.k7_filter_2 A B)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A) (tptp.m2_lattice4 B (tptp.k1_lattice2 A))) (tptp.m2_lattice4 (tptp.k11_filter_2 A B) A))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A) (tptp.m2_lattice4 B (tptp.k1_lattice2 A))) (= (tptp.k11_filter_2 A B) (tptp.k8_filter_2 A B)))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k12_filter_2 A B))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A) (not (tptp.v1_xboole_0 B)) (tptp.m2_lattice4 B (tptp.k1_lattice2 A))) (and (not (tptp.v1_xboole_0 _let_1)) (tptp.m2_lattice4 _let_1 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.m2_lattice4 B (tptp.k1_lattice2 A))) (= (tptp.k12_filter_2 A B) (tptp.k8_filter_2 A B)))) (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.m2_filter_2 (tptp.k13_filter_2 A B) (tptp.k1_lattice2 A)))) (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.k13_filter_2 A B) (tptp.k7_filter_2 A B)))) (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 (tptp.k1_lattice2 A))) (tptp.m2_filter_2 (tptp.k14_filter_2 A B) A))) (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 (tptp.k1_lattice2 A))) (= (tptp.k14_filter_2 A B) (tptp.k8_filter_2 A B)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A) (tptp.m2_filter_2 B A)) (tptp.m1_filter_2 (tptp.k15_filter_2 A B) (tptp.k1_lattice2 A)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A) (tptp.m2_filter_2 B A)) (= (tptp.k15_filter_2 A B) (tptp.k7_filter_2 A B)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A) (tptp.m2_filter_2 B (tptp.k1_lattice2 A))) (tptp.m1_filter_2 (tptp.k16_filter_2 A B) A))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A) (tptp.m2_filter_2 B (tptp.k1_lattice2 A))) (= (tptp.k16_filter_2 A B) (tptp.k8_filter_2 A B)))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (tptp.m2_filter_2 (tptp.k17_filter_2 A) A))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A) (tptp.m1_subset_1 B (tptp.u1_struct_0 A))) (tptp.m2_filter_2 (tptp.k18_filter_2 A B) A))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A) (not (tptp.v1_xboole_0 B)) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (tptp.m2_filter_2 (tptp.k19_filter_2 A B) A))) (forall ((A $$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)) (tptp.m1_subset_1 (tptp.k20_filter_2 A B C) _let_1)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v11_lattices A) (tptp.l3_lattices A) (tptp.m2_filter_2 B A) (tptp.m2_filter_2 C A)) (tptp.m2_filter_2 (tptp.k21_filter_2 A B C) A))) (forall ((A $$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.m2_filter_2 B A) (tptp.m2_filter_2 C A)) (= (tptp.k21_filter_2 A B C) (tptp.k20_filter_2 A B C)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k22_filter_2 A B C))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A) (tptp.m1_subset_1 B _let_2) (tptp.m1_subset_1 C _let_2)) (and (not (tptp.v1_xboole_0 _let_1)) (tptp.m2_lattice4 _let_1 A)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A) (not (tptp.v1_xboole_0 B)) (tptp.m2_lattice4 B A)) (tptp.m2_nat_lat (tptp.k23_filter_2 A B) A))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k24_filter_2 A B))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A) (tptp.m2_nat_lat B A)) (and (tptp.v3_lattices _let_1) (tptp.m2_nat_lat _let_1 (tptp.k1_lattice2 A)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A) (tptp.m2_nat_lat B A)) (= (tptp.k24_filter_2 A B) (tptp.k1_lattice2 B)))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (= (tptp.k18_filter_2 A B) (tptp.a_2_0_filter_2 A B)))))) (forall ((A $$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.k20_filter_2 A B C) (tptp.a_3_0_filter_2 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.m2_filter_2 B A) (forall ((C $$unsorted)) (=> (tptp.m2_filter_2 C A) (= (tptp.k19_filter_2 A (tptp.k4_subset_1 (tptp.u1_struct_0 A) B C)) (tptp.a_3_1_filter_2 A B C)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (=> (tptp.r3_lattices A B C) (= (tptp.k22_filter_2 A B C) (tptp.a_3_2_filter_2 A B C))))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v10_lattices B) (tptp.l3_lattices B) (tptp.m1_subset_1 C (tptp.u1_struct_0 B))) (= (tptp.r2_hidden A (tptp.a_2_0_filter_2 B C)) (exists ((D $$unsorted)) (and (tptp.m1_subset_1 D (tptp.u1_struct_0 B)) (= A D) (tptp.r3_lattices B D C)))))) (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_2 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.k3_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.m2_filter_2 C B) (tptp.m2_filter_2 D B)) (= (tptp.r2_hidden A (tptp.a_3_1_filter_2 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 $$unsorted)) (and (tptp.m1_subset_1 G (tptp.u1_struct_0 B)) (tptp.r3_lattices B E (tptp.k3_lattices B F G)) (tptp.r2_hidden F C) (tptp.r2_hidden G D)))))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v10_lattices B) (tptp.l3_lattices B) (tptp.m1_subset_1 C _let_1) (tptp.m1_subset_1 D _let_1)) (= (tptp.r2_hidden A (tptp.a_3_2_filter_2 B C D)) (exists ((E $$unsorted)) (and (tptp.m1_subset_1 E (tptp.u1_struct_0 B)) (= A E) (tptp.r3_lattices B C E) (tptp.r3_lattices B E D))))))) (exists ((A $$unsorted)) (and (tptp.l1_cat_1 A) (tptp.v1_cat_1 A) (tptp.v2_cat_1 A) (tptp.v1_cat_5 A))) (exists ((A $$unsorted)) (and (not (tptp.v1_xboole_0 A)) (tptp.v2_cat_5 A))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.v2_cat_1 A))) (=> (tptp.l1_cat_1 A) (=> (and _let_1 (tptp.v3_cat_5 A)) (and _let_1 (tptp.v1_cat_5 A)))))) (exists ((A $$unsorted)) (and (tptp.l1_cat_1 A) (tptp.v1_cat_1 A) (tptp.v2_cat_1 A) (tptp.v1_cat_5 A) (tptp.v3_cat_5 A))) (forall ((A $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.v3_cat_5 A) (tptp.l1_cat_1 A)) (forall ((B $$unsorted)) (=> (tptp.m3_cat_2 B A) (tptp.v3_cat_5 B))))) (exists ((A $$unsorted)) (and (tptp.l1_cat_1 A) (tptp.v1_cat_1 A) (tptp.v2_cat_1 A) (tptp.v1_cat_5 A) (tptp.v3_cat_5 A) (tptp.v4_cat_5 A))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A) (tptp.m1_subset_1 B (tptp.u1_cat_1 A))) (not (tptp.v1_xboole_0 (tptp.k12_cat_5 A B))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A) (tptp.m1_subset_1 B (tptp.u1_cat_1 A))) (not (tptp.v1_xboole_0 (tptp.k13_cat_5 A B))))) (forall ((A $$unsorted)) (=> (tptp.l1_cat_1 A) (forall ((B $$unsorted)) (=> (tptp.l1_cat_1 B) (=> (and (= (tptp.g1_cat_1 (tptp.u1_cat_1 A) (tptp.u2_cat_1 A) (tptp.u3_cat_1 A) (tptp.u4_cat_1 A) (tptp.u5_cat_1 A) (tptp.u6_cat_1 A)) (tptp.g1_cat_1 (tptp.u1_cat_1 B) (tptp.u2_cat_1 B) (tptp.u3_cat_1 B) (tptp.u4_cat_1 B) (tptp.u5_cat_1 B) (tptp.u6_cat_1 B))) (tptp.v2_cat_1 A)) (tptp.v2_cat_1 B)))))) (forall ((A $$unsorted)) (=> (tptp.l1_cat_1 A) (= (tptp.v1_cat_5 A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u2_cat_1 A)) (exists ((C $$unsorted)) (let ((_let_1 (tptp.u1_cat_1 A))) (= B (tptp.k4_tarski (tptp.k1_domain_1 _let_1 _let_1 (tptp.k2_cat_1 A B) (tptp.k3_cat_1 A B)) C))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_cat_5 A) (tptp.l1_cat_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k3_cat_1 A B))) (let ((_let_2 (tptp.k2_cat_1 A B))) (let ((_let_3 (tptp.u1_cat_1 A))) (=> (tptp.m1_subset_1 B (tptp.u2_cat_1 A)) (and (= _let_2 (tptp.k17_mcart_1 B)) (= _let_1 (tptp.k18_mcart_1 B)) (= B (tptp.k4_tarski (tptp.k1_domain_1 _let_3 _let_3 _let_2 _let_1) (tptp.k2_mcart_1 B))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A)) (forall ((B $$unsorted)) (=> (tptp.m3_cat_2 B A) (=> (tptp.m3_cat_2 A B) (= (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)) (tptp.g1_cat_1 (tptp.u1_cat_1 B) (tptp.u2_cat_1 B) (tptp.u3_cat_1 B) (tptp.u4_cat_1 B) (tptp.u5_cat_1 B) (tptp.u6_cat_1 B)))))))) (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 $$unsorted)) (=> (tptp.m3_cat_2 C B) (tptp.m3_cat_2 C A))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v2_cat_1 B) (tptp.l1_cat_1 B)) (not (and (exists ((C $$unsorted)) (and (tptp.v2_cat_1 C) (tptp.l1_cat_1 C) (tptp.m3_cat_2 A C) (tptp.m3_cat_2 B C))) (exists ((C $$unsorted)) (and (tptp.m1_subset_1 C (tptp.u1_cat_1 A)) (tptp.m1_subset_1 C (tptp.u1_cat_1 B)))) (not (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_cat_1 B))) (let ((_let_2 (tptp.u2_cat_1 A))) (let ((_let_3 (tptp.u1_cat_1 A))) (let ((_let_4 (tptp.u2_cat_1 B))) (=> (and (tptp.v1_cat_1 C) (tptp.v2_cat_1 C) (tptp.l1_cat_1 C)) (= (= C (tptp.k6_cat_5 A B)) (and (= (tptp.u1_cat_1 C) (tptp.k3_xboole_0 _let_3 _let_1)) (= (tptp.u2_cat_1 C) (tptp.k3_xboole_0 _let_2 _let_4)) (= (tptp.u3_cat_1 C) (tptp.k2_partfun1 _let_2 _let_3 (tptp.u3_cat_1 A) _let_4)) (= (tptp.u4_cat_1 C) (tptp.k2_partfun1 _let_2 _let_3 (tptp.u4_cat_1 A) _let_4)) (= (tptp.u5_cat_1 C) (tptp.k1_realset1 (tptp.u5_cat_1 A) _let_4)) (= (tptp.u6_cat_1 C) (tptp.k2_partfun1 _let_3 _let_2 (tptp.u6_cat_1 A) _let_1))))))))))))))))) (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 $$unsorted)) (=> (tptp.m3_cat_2 C A) (=> (not (tptp.r2_subset_1 (tptp.u1_cat_1 B) (tptp.u1_cat_1 C))) (= (tptp.k6_cat_5 B C) (tptp.k6_cat_5 C B))))))))) (forall ((A $$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.k6_cat_5 B C))) (=> (tptp.m3_cat_2 C A) (=> (not (tptp.r2_subset_1 (tptp.u1_cat_1 B) (tptp.u1_cat_1 C))) (and (tptp.m3_cat_2 _let_1 B) (tptp.m3_cat_2 _let_1 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)) (=> (and (tptp.v1_cat_1 D) (tptp.m3_cat_2 D B)) (= (= D (tptp.k7_cat_5 A B C)) (and (= (tptp.u1_cat_1 D) (tptp.k2_relat_1 (tptp.k12_cat_1 A B C))) (tptp.r1_tarski (tptp.k2_relat_1 C) (tptp.u2_cat_1 D)) (forall ((E $$unsorted)) (=> (tptp.m3_cat_2 E B) (=> (and (= (tptp.u1_cat_1 E) (tptp.k2_relat_1 (tptp.k12_cat_1 A B C))) (tptp.r1_tarski (tptp.k2_relat_1 C) (tptp.u2_cat_1 E))) (tptp.m3_cat_2 D E)))))))))))))) (forall ((A $$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.m3_cat_2 C B) (forall ((D $$unsorted)) (=> (tptp.m2_cat_1 D A B) (=> (tptp.r1_tarski (tptp.k2_relat_1 D) (tptp.u2_cat_1 C)) (tptp.m2_cat_1 D A C)))))))))) (forall ((A $$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) (tptp.m2_cat_1 C A (tptp.k7_cat_5 A 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 $$unsorted)) (=> (tptp.m3_cat_2 C B) (forall ((D $$unsorted)) (=> (tptp.m2_cat_1 D A C) (forall ((E $$unsorted)) (=> (tptp.m2_cat_1 E A B) (=> (= D E) (= (tptp.k7_cat_5 A C D) (tptp.k7_cat_5 A B E))))))))))))) (forall ((A $$unsorted)) (= (tptp.v2_cat_5 A) (forall ((B $$unsorted)) (=> (tptp.r2_hidden B A) (and (tptp.v2_cat_1 B) (tptp.l1_cat_1 B)))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (= (tptp.v2_cat_5 A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B A) (and (tptp.v2_cat_1 B) (tptp.l1_cat_1 B))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A)) (= (tptp.v3_cat_5 A) (and (tptp.v2_cat_5 (tptp.u1_cat_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_cat_1 A)) (forall ((C $$unsorted)) (=> (and (tptp.v2_cat_1 C) (tptp.l1_cat_1 C)) (=> (= B C) (= (tptp.k10_cat_1 A B) (tptp.k4_tarski (tptp.k4_tarski C C) (tptp.k15_cat_1 C)))))))) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u2_cat_1 A)) (forall ((C $$unsorted)) (=> (and (tptp.v2_cat_1 C) (tptp.l1_cat_1 C)) (forall ((D $$unsorted)) (=> (and (tptp.v2_cat_1 D) (tptp.l1_cat_1 D)) (not (and (= C (tptp.k2_cat_1 A B)) (= D (tptp.k3_cat_1 A B)) (forall ((E $$unsorted)) (=> (tptp.m2_cat_1 E C D) (not (= B (tptp.k4_tarski (tptp.k4_tarski C D) E))))))))))))) (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 $$unsorted)) (=> (and (tptp.v2_cat_1 D) (tptp.l1_cat_1 D)) (forall ((E $$unsorted)) (=> (and (tptp.v2_cat_1 E) (tptp.l1_cat_1 E)) (forall ((F $$unsorted)) (=> (and (tptp.v2_cat_1 F) (tptp.l1_cat_1 F)) (forall ((G $$unsorted)) (=> (tptp.m2_cat_1 G D E) (forall ((H $$unsorted)) (=> (tptp.m2_cat_1 H E F) (=> (and (= B (tptp.k4_tarski (tptp.k4_tarski D E) G)) (= C (tptp.k4_tarski (tptp.k4_tarski E F) H))) (= (tptp.k4_cat_1 A B C) (tptp.k4_tarski (tptp.k4_tarski D F) (tptp.k14_cat_1 D E F G H)))))))))))))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v2_cat_1 B) (tptp.l1_cat_1 B)) (=> (and (= (tptp.g1_cat_1 (tptp.u1_cat_1 A) (tptp.u2_cat_1 A) (tptp.u3_cat_1 A) (tptp.u4_cat_1 A) (tptp.u5_cat_1 A) (tptp.u6_cat_1 A)) (tptp.g1_cat_1 (tptp.u1_cat_1 B) (tptp.u2_cat_1 B) (tptp.u3_cat_1 B) (tptp.u4_cat_1 B) (tptp.u5_cat_1 B) (tptp.u6_cat_1 B))) (tptp.v3_cat_5 A)) (tptp.v3_cat_5 B)))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A)) (tptp.v3_cat_5 (tptp.k8_cat_1 A (tptp.k4_tarski (tptp.k4_tarski A A) (tptp.k15_cat_1 A)))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.v3_cat_5 A) (tptp.l1_cat_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_cat_1 A)) (and (tptp.v2_cat_1 B) (tptp.l1_cat_1 B)))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.v3_cat_5 A) (tptp.l1_cat_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u2_cat_1 A)) (and (= (tptp.k2_cat_1 A B) (tptp.k4_cat_5 A B)) (= (tptp.k3_cat_1 A B) (tptp.k5_cat_5 A B))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.v3_cat_5 A) (tptp.l1_cat_1 A)) (forall ((B $$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))) (let ((_let_4 (tptp.u1_cat_1 A))) (=> (and (tptp.v2_cat_1 B) (tptp.v3_cat_5 B) (tptp.l1_cat_1 B)) (=> (and (= _let_4 _let_2) (= _let_3 _let_1)) (= (tptp.g1_cat_1 _let_4 _let_3 (tptp.u3_cat_1 A) (tptp.u4_cat_1 A) (tptp.u5_cat_1 A) (tptp.u6_cat_1 A)) (tptp.g1_cat_1 _let_2 _let_1 (tptp.u3_cat_1 B) (tptp.u4_cat_1 B) (tptp.u5_cat_1 B) (tptp.u6_cat_1 B)))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.v3_cat_5 A) (tptp.l1_cat_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v2_cat_1 B) (tptp.v3_cat_5 B) (tptp.l1_cat_1 B)) (=> (tptp.r1_tarski (tptp.u2_cat_1 A) (tptp.u2_cat_1 B)) (tptp.m3_cat_2 A B)))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A)) (= (tptp.k10_cat_5 A) A))) (forall ((A $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.v3_cat_5 A) (tptp.l1_cat_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_cat_1 A)) (= (tptp.k10_cat_5 B) B))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v2_cat_5 A)) (forall ((B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (not (and (forall ((C $$unsorted)) (=> (tptp.m1_cat_5 C A) (forall ((D $$unsorted)) (=> (tptp.m1_cat_5 D A) (forall ((E $$unsorted)) (=> (tptp.m1_cat_5 E A) (forall ((F $$unsorted)) (=> (tptp.m2_cat_1 F C D) (forall ((G $$unsorted)) (=> (tptp.m2_cat_1 G D E) (=> (and (tptp.r2_hidden F B) (tptp.r2_hidden G B)) (tptp.r2_hidden (tptp.k14_cat_1 C D E F G) B)))))))))))) (forall ((C $$unsorted)) (=> (tptp.m1_cat_5 C A) (tptp.r2_hidden (tptp.k15_cat_1 C) B))) (forall ((C $$unsorted)) (=> (and (tptp.v1_cat_1 C) (tptp.v2_cat_1 C) (tptp.v3_cat_5 C) (tptp.l1_cat_1 C)) (not (and (= (tptp.u1_cat_1 C) A) (forall ((D $$unsorted)) (=> (tptp.m1_cat_5 D A) (forall ((E $$unsorted)) (=> (tptp.m1_cat_5 E A) (forall ((F $$unsorted)) (=> (tptp.m2_cat_1 F D E) (= (tptp.m1_subset_1 (tptp.k1_domain_1 (tptp.k2_zfmisc_1 A A) (tptp.k1_zfmisc_1 (tptp.k2_zfmisc_1 (tptp.u2_cat_1 D) (tptp.u2_cat_1 E))) (tptp.k1_domain_1 A A D E) F) (tptp.u2_cat_1 C)) (tptp.r2_hidden F B)))))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v2_cat_5 A)) (forall ((B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (=> (and (tptp.v1_cat_1 C) (tptp.v2_cat_1 C) (tptp.v3_cat_5 C) (tptp.l1_cat_1 C)) (forall ((D $$unsorted)) (=> (and (tptp.v1_cat_1 D) (tptp.v2_cat_1 D) (tptp.v3_cat_5 D) (tptp.l1_cat_1 D)) (=> (and (= (tptp.u1_cat_1 C) A) (forall ((E $$unsorted)) (=> (tptp.m1_cat_5 E A) (forall ((F $$unsorted)) (=> (tptp.m1_cat_5 F A) (forall ((G $$unsorted)) (=> (tptp.m2_cat_1 G E F) (= (tptp.m1_subset_1 (tptp.k1_domain_1 (tptp.k2_zfmisc_1 A A) (tptp.k1_zfmisc_1 (tptp.k2_zfmisc_1 (tptp.u2_cat_1 E) (tptp.u2_cat_1 F))) (tptp.k1_domain_1 A A E F) G) (tptp.u2_cat_1 C)) (tptp.r2_hidden G B)))))))) (= (tptp.u1_cat_1 D) A) (forall ((E $$unsorted)) (=> (tptp.m1_cat_5 E A) (forall ((F $$unsorted)) (=> (tptp.m1_cat_5 F A) (forall ((G $$unsorted)) (=> (tptp.m2_cat_1 G E F) (= (tptp.m1_subset_1 (tptp.k1_domain_1 (tptp.k2_zfmisc_1 A A) (tptp.k1_zfmisc_1 (tptp.k2_zfmisc_1 (tptp.u2_cat_1 E) (tptp.u2_cat_1 F))) (tptp.k1_domain_1 A A E F) G) (tptp.u2_cat_1 D)) (tptp.r2_hidden G B))))))))) (= C D)))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.v3_cat_5 A) (tptp.l1_cat_1 A)) (= (tptp.v4_cat_5 A) (forall ((B $$unsorted)) (=> (and (tptp.v2_cat_1 B) (tptp.l1_cat_1 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_cat_1 A))) (=> (and (tptp.v2_cat_1 C) (tptp.l1_cat_1 C)) (=> (and (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (forall ((D $$unsorted)) (=> (tptp.m2_cat_1 D B C) (tptp.m1_subset_1 (tptp.k4_tarski (tptp.k4_tarski B C) D) (tptp.u2_cat_1 A))))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.v3_cat_5 A) (tptp.v4_cat_5 A) (tptp.l1_cat_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_cat_1 B))) (let ((_let_2 (tptp.u1_cat_1 A))) (=> (and (tptp.v2_cat_1 B) (tptp.v3_cat_5 B) (tptp.v4_cat_5 B) (tptp.l1_cat_1 B)) (=> (= _let_2 _let_1) (= (tptp.g1_cat_1 _let_2 (tptp.u2_cat_1 A) (tptp.u3_cat_1 A) (tptp.u4_cat_1 A) (tptp.u5_cat_1 A) (tptp.u6_cat_1 A)) (tptp.g1_cat_1 _let_1 (tptp.u2_cat_1 B) (tptp.u3_cat_1 B) (tptp.u4_cat_1 B) (tptp.u5_cat_1 B) (tptp.u6_cat_1 B)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v2_cat_5 A)) (exists ((B $$unsorted)) (and (tptp.v1_cat_1 B) (tptp.v2_cat_1 B) (tptp.v3_cat_5 B) (tptp.v4_cat_5 B) (tptp.l1_cat_1 B) (= (tptp.u1_cat_1 B) A))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.v3_cat_5 A) (tptp.l1_cat_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v2_cat_1 B) (tptp.v3_cat_5 B) (tptp.v4_cat_5 B) (tptp.l1_cat_1 B)) (=> (tptp.r1_tarski (tptp.u1_cat_1 A) (tptp.u1_cat_1 B)) (tptp.m3_cat_2 A B)))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v2_cat_1 B) (tptp.v3_cat_5 B) (tptp.l1_cat_1 B)) (forall ((C $$unsorted)) (=> (and (tptp.v2_cat_1 C) (tptp.v3_cat_5 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) (=> (= D E) (= (tptp.k7_cat_5 A B D) (tptp.k7_cat_5 A C E))))))))))))) (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.k12_cat_5 A B) (tptp.k3_funct_2 (tptp.u2_cat_1 A) _let_1 (tptp.u4_cat_1 A) (tptp.k6_domain_1 _let_1 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.k13_cat_5 A B) (tptp.k3_funct_2 (tptp.u2_cat_1 A) _let_1 (tptp.u3_cat_1 A) (tptp.k6_domain_1 _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 $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u2_cat_1 A)) (= (tptp.r2_hidden C (tptp.k12_cat_5 A B)) (= (tptp.k3_cat_1 A C) B)))))))) (forall ((A $$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.u2_cat_1 A)) (= (tptp.r2_hidden C (tptp.k13_cat_5 A B)) (= (tptp.k2_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 $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_cat_1 A)) (= (tptp.k6_cat_1 A B C) (tptp.k5_subset_1 (tptp.u2_cat_1 A) (tptp.k13_cat_5 A B) (tptp.k12_cat_5 A C))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u2_cat_1 A)) (and (tptp.r2_hidden B (tptp.k13_cat_5 A (tptp.k2_cat_1 A B))) (tptp.r2_hidden B (tptp.k12_cat_5 A (tptp.k3_cat_1 A B)))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u2_cat_1 A)) (forall ((C $$unsorted)) (=> (tptp.m2_subset_1 C (tptp.u2_cat_1 A) (tptp.k12_cat_5 A (tptp.k2_cat_1 A B))) (tptp.r2_hidden (tptp.k4_cat_1 A C B) (tptp.k12_cat_5 A (tptp.k3_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.u2_cat_1 A)) (forall ((C $$unsorted)) (=> (tptp.m2_subset_1 C (tptp.u2_cat_1 A) (tptp.k13_cat_5 A (tptp.k3_cat_1 A B))) (tptp.r2_hidden (tptp.k4_cat_1 A B C) (tptp.k13_cat_5 A (tptp.k2_cat_1 A B))))))))) (forall ((A $$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)) (=> (and (tptp.v1_cat_1 C) (tptp.v2_cat_1 C) (tptp.v1_cat_5 C) (tptp.l1_cat_1 C)) (= (= C (tptp.k14_cat_5 A B)) (and (= (tptp.u1_cat_1 C) (tptp.k12_cat_5 A B)) (forall ((D $$unsorted)) (=> (tptp.m2_subset_1 D (tptp.u2_cat_1 A) (tptp.k12_cat_5 A B)) (forall ((E $$unsorted)) (=> (tptp.m2_subset_1 E (tptp.u2_cat_1 A) (tptp.k12_cat_5 A B)) (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F (tptp.u2_cat_1 A)) (=> (and (= (tptp.k2_cat_1 A E) (tptp.k3_cat_1 A F)) (= D (tptp.k4_cat_1 A F E))) (tptp.m1_subset_1 (tptp.k13_cat_2 (tptp.k11_cat_2 A A) A (tptp.k13_cat_2 A A D E) F) (tptp.u2_cat_1 C))))))))) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u2_cat_1 C)) (exists ((E $$unsorted)) (and (tptp.m2_subset_1 E (tptp.u2_cat_1 A) (tptp.k12_cat_5 A B)) (exists ((F $$unsorted)) (and (tptp.m2_subset_1 F (tptp.u2_cat_1 A) (tptp.k12_cat_5 A B)) (exists ((G $$unsorted)) (and (tptp.m1_subset_1 G (tptp.u2_cat_1 A)) (= D (tptp.k13_cat_2 (tptp.k11_cat_2 A A) A (tptp.k13_cat_2 A A E F) G)) (= (tptp.k2_cat_1 A F) (tptp.k3_cat_1 A G)) (= E (tptp.k4_cat_1 A G F)))))))))) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u2_cat_1 C)) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.u2_cat_1 C)) (forall ((F $$unsorted)) (=> (tptp.m2_subset_1 F (tptp.u2_cat_1 A) (tptp.k12_cat_5 A B)) (forall ((G $$unsorted)) (=> (tptp.m2_subset_1 G (tptp.u2_cat_1 A) (tptp.k12_cat_5 A B)) (forall ((H $$unsorted)) (=> (tptp.m2_subset_1 H (tptp.u2_cat_1 A) (tptp.k12_cat_5 A B)) (forall ((I $$unsorted)) (=> (tptp.m1_subset_1 I (tptp.u2_cat_1 A)) (forall ((J $$unsorted)) (let ((_let_1 (tptp.k11_cat_2 A A))) (=> (tptp.m1_subset_1 J (tptp.u2_cat_1 A)) (=> (and (= D (tptp.k13_cat_2 _let_1 A (tptp.k13_cat_2 A A F G) I)) (= E (tptp.k13_cat_2 _let_1 A (tptp.k13_cat_2 A A G H) J))) (= (tptp.k4_cat_1 C D E) (tptp.k13_cat_2 _let_1 A (tptp.k13_cat_2 A A F H) (tptp.k4_cat_1 A I J))))))))))))))))))))))))))) (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 $$unsorted)) (=> (and (tptp.v1_cat_1 C) (tptp.v2_cat_1 C) (tptp.v1_cat_5 C) (tptp.l1_cat_1 C)) (= (= C (tptp.k15_cat_5 A B)) (and (= (tptp.u1_cat_1 C) (tptp.k13_cat_5 A B)) (forall ((D $$unsorted)) (=> (tptp.m2_subset_1 D (tptp.u2_cat_1 A) (tptp.k13_cat_5 A B)) (forall ((E $$unsorted)) (=> (tptp.m2_subset_1 E (tptp.u2_cat_1 A) (tptp.k13_cat_5 A B)) (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F (tptp.u2_cat_1 A)) (=> (and (= (tptp.k2_cat_1 A F) (tptp.k3_cat_1 A D)) (= (tptp.k4_cat_1 A D F) E)) (tptp.m1_subset_1 (tptp.k13_cat_2 (tptp.k11_cat_2 A A) A (tptp.k13_cat_2 A A D E) F) (tptp.u2_cat_1 C))))))))) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u2_cat_1 C)) (exists ((E $$unsorted)) (and (tptp.m2_subset_1 E (tptp.u2_cat_1 A) (tptp.k13_cat_5 A B)) (exists ((F $$unsorted)) (and (tptp.m2_subset_1 F (tptp.u2_cat_1 A) (tptp.k13_cat_5 A B)) (exists ((G $$unsorted)) (and (tptp.m1_subset_1 G (tptp.u2_cat_1 A)) (= D (tptp.k13_cat_2 (tptp.k11_cat_2 A A) A (tptp.k13_cat_2 A A E F) G)) (= (tptp.k2_cat_1 A G) (tptp.k3_cat_1 A E)) (= (tptp.k4_cat_1 A E G) F))))))))) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u2_cat_1 C)) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.u2_cat_1 C)) (forall ((F $$unsorted)) (=> (tptp.m2_subset_1 F (tptp.u2_cat_1 A) (tptp.k13_cat_5 A B)) (forall ((G $$unsorted)) (=> (tptp.m2_subset_1 G (tptp.u2_cat_1 A) (tptp.k13_cat_5 A B)) (forall ((H $$unsorted)) (=> (tptp.m2_subset_1 H (tptp.u2_cat_1 A) (tptp.k13_cat_5 A B)) (forall ((I $$unsorted)) (=> (tptp.m1_subset_1 I (tptp.u2_cat_1 A)) (forall ((J $$unsorted)) (let ((_let_1 (tptp.k11_cat_2 A A))) (=> (tptp.m1_subset_1 J (tptp.u2_cat_1 A)) (=> (and (= D (tptp.k13_cat_2 _let_1 A (tptp.k13_cat_2 A A F G) I)) (= E (tptp.k13_cat_2 _let_1 A (tptp.k13_cat_2 A A G H) J))) (= (tptp.k4_cat_1 C D E) (tptp.k13_cat_2 _let_1 A (tptp.k13_cat_2 A A F H) (tptp.k4_cat_1 A I J))))))))))))))))))))))))))) (forall ((A $$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)) (let ((_let_1 (tptp.k18_cat_5 A B C))) (let ((_let_2 (tptp.k14_cat_5 A B))) (let ((_let_3 (tptp.k17_cat_5 A B C))) (let ((_let_4 (tptp.k16_cat_5 A B C))) (=> (tptp.m1_subset_1 C (tptp.u2_cat_1 _let_2)) (and (= C (tptp.k13_cat_2 (tptp.k11_cat_2 A A) A (tptp.k13_cat_2 A A _let_3 _let_1) _let_4)) (= (tptp.k2_cat_1 A _let_1) (tptp.k3_cat_1 A _let_4)) (= _let_3 (tptp.k4_cat_1 A _let_4 _let_1)) (= (tptp.k2_cat_1 _let_2 C) _let_3) (= (tptp.k3_cat_1 _let_2 C) _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 $$unsorted)) (=> (tptp.m2_subset_1 C (tptp.u2_cat_1 A) (tptp.k12_cat_5 A B)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k14_cat_5 A B))) (=> (tptp.m1_subset_1 D (tptp.u1_cat_1 _let_1)) (=> (= D C) (= (tptp.k10_cat_1 _let_1 D) (tptp.k1_domain_1 (tptp.u1_cat_1 (tptp.k11_cat_2 _let_1 _let_1)) (tptp.u2_cat_1 A) (tptp.k12_cat_2 _let_1 _let_1 D D) (tptp.k10_cat_1 A (tptp.k2_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.u1_cat_1 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k21_cat_5 A B C))) (let ((_let_2 (tptp.k15_cat_5 A B))) (let ((_let_3 (tptp.k20_cat_5 A B C))) (let ((_let_4 (tptp.k19_cat_5 A B C))) (=> (tptp.m1_subset_1 C (tptp.u2_cat_1 _let_2)) (and (= C (tptp.k13_cat_2 (tptp.k11_cat_2 A A) A (tptp.k13_cat_2 A A _let_3 _let_1) _let_4)) (= (tptp.k2_cat_1 A _let_4) (tptp.k3_cat_1 A _let_3)) (= (tptp.k4_cat_1 A _let_3 _let_4) _let_1) (= (tptp.k2_cat_1 _let_2 C) _let_3) (= (tptp.k3_cat_1 _let_2 C) _let_1)))))))))))) (forall ((A $$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.m2_subset_1 C (tptp.u2_cat_1 A) (tptp.k13_cat_5 A B)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k15_cat_5 A B))) (=> (tptp.m1_subset_1 D (tptp.u1_cat_1 _let_1)) (=> (= D C) (= (tptp.k10_cat_1 _let_1 D) (tptp.k1_domain_1 (tptp.u1_cat_1 (tptp.k11_cat_2 _let_1 _let_1)) (tptp.u2_cat_1 A) (tptp.k12_cat_2 _let_1 _let_1 D D) (tptp.k10_cat_1 A (tptp.k3_cat_1 A C)))))))))))))) (forall ((A $$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.m2_cat_1 C (tptp.k14_cat_5 A (tptp.k2_cat_1 A B)) (tptp.k14_cat_5 A (tptp.k3_cat_1 A B))) (= (= C (tptp.k22_cat_5 A B)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k2_cat_1 A B))) (let ((_let_2 (tptp.u2_cat_1 (tptp.k14_cat_5 A _let_1)))) (=> (tptp.m1_subset_1 D _let_2) (= (tptp.k8_funct_2 _let_2 (tptp.u2_cat_1 (tptp.k14_cat_5 A (tptp.k3_cat_1 A B))) C D) (tptp.k13_cat_2 (tptp.k11_cat_2 A A) A (tptp.k13_cat_2 A A (tptp.k4_cat_1 A (tptp.k17_cat_5 A _let_1 D) B) (tptp.k4_cat_1 A (tptp.k18_cat_5 A _let_1 D) B)) (tptp.k16_cat_5 A _let_1 D)))))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u2_cat_1 A)) (forall ((C $$unsorted)) (=> (tptp.m2_cat_1 C (tptp.k15_cat_5 A (tptp.k3_cat_1 A B)) (tptp.k15_cat_5 A (tptp.k2_cat_1 A B))) (= (= C (tptp.k23_cat_5 A B)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k3_cat_1 A B))) (let ((_let_2 (tptp.u2_cat_1 (tptp.k15_cat_5 A _let_1)))) (=> (tptp.m1_subset_1 D _let_2) (= (tptp.k8_funct_2 _let_2 (tptp.u2_cat_1 (tptp.k15_cat_5 A (tptp.k2_cat_1 A B))) C D) (tptp.k13_cat_2 (tptp.k11_cat_2 A A) A (tptp.k13_cat_2 A A (tptp.k4_cat_1 A B (tptp.k20_cat_5 A _let_1 D)) (tptp.k4_cat_1 A B (tptp.k21_cat_5 A _let_1 D))) (tptp.k19_cat_5 A _let_1 D)))))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u2_cat_1 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k2_cat_1 A C))) (let ((_let_2 (tptp.k3_cat_1 A B))) (=> (tptp.m1_subset_1 C (tptp.u2_cat_1 A)) (=> (= _let_1 _let_2) (= (tptp.k22_cat_5 A (tptp.k4_cat_1 A B C)) (tptp.k1_partfun1 (tptp.u2_cat_1 (tptp.k14_cat_5 A (tptp.k2_cat_1 A B))) (tptp.u2_cat_1 (tptp.k14_cat_5 A _let_2)) (tptp.u2_cat_1 (tptp.k14_cat_5 A _let_1)) (tptp.u2_cat_1 (tptp.k14_cat_5 A (tptp.k3_cat_1 A C))) (tptp.k22_cat_5 A B) (tptp.k22_cat_5 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 $$unsorted)) (let ((_let_1 (tptp.k3_cat_1 A B))) (let ((_let_2 (tptp.k2_cat_1 A C))) (=> (tptp.m1_subset_1 C (tptp.u2_cat_1 A)) (=> (= _let_2 _let_1) (= (tptp.k23_cat_5 A (tptp.k4_cat_1 A B C)) (tptp.k1_partfun1 (tptp.u2_cat_1 (tptp.k15_cat_5 A (tptp.k3_cat_1 A C))) (tptp.u2_cat_1 (tptp.k15_cat_5 A _let_2)) (tptp.u2_cat_1 (tptp.k15_cat_5 A _let_1)) (tptp.u2_cat_1 (tptp.k15_cat_5 A (tptp.k2_cat_1 A B))) (tptp.k23_cat_5 A C) (tptp.k23_cat_5 A B)))))))))))) (=> (and (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.f1_s1_cat_5) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.f1_s1_cat_5) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C tptp.f1_s1_cat_5) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D tptp.f2_s1_cat_5) (forall ((E $$unsorted)) (let ((_let_1 (tptp.f3_s1_cat_5 E D))) (=> (tptp.m1_subset_1 E tptp.f2_s1_cat_5) (=> (and (tptp.p1_s1_cat_5 A B D) (tptp.p1_s1_cat_5 B C E)) (and (tptp.r2_hidden _let_1 tptp.f2_s1_cat_5) (tptp.p1_s1_cat_5 A C _let_1)))))))))))))) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.f1_s1_cat_5) (exists ((B $$unsorted)) (and (tptp.m1_subset_1 B tptp.f2_s1_cat_5) (tptp.p1_s1_cat_5 A A B) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C tptp.f1_s1_cat_5) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D tptp.f2_s1_cat_5) (and (=> (tptp.p1_s1_cat_5 A C D) (= (tptp.f3_s1_cat_5 D B) D)) (=> (tptp.p1_s1_cat_5 C A D) (= (tptp.f3_s1_cat_5 B D) D))))))))))) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.f1_s1_cat_5) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.f1_s1_cat_5) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C tptp.f1_s1_cat_5) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D tptp.f1_s1_cat_5) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E tptp.f2_s1_cat_5) (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F tptp.f2_s1_cat_5) (forall ((G $$unsorted)) (=> (tptp.m1_subset_1 G tptp.f2_s1_cat_5) (=> (and (tptp.p1_s1_cat_5 A B E) (tptp.p1_s1_cat_5 B C F) (tptp.p1_s1_cat_5 C D G)) (= (tptp.f3_s1_cat_5 G (tptp.f3_s1_cat_5 F E)) (tptp.f3_s1_cat_5 (tptp.f3_s1_cat_5 G F) E)))))))))))))))))) (exists ((A $$unsorted)) (and (tptp.v1_cat_1 A) (tptp.v2_cat_1 A) (tptp.v1_cat_5 A) (tptp.l1_cat_1 A) (= (tptp.u1_cat_1 A) tptp.f1_s1_cat_5) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.f1_s1_cat_5) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C tptp.f1_s1_cat_5) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D tptp.f2_s1_cat_5) (=> (tptp.p1_s1_cat_5 B C D) (tptp.m1_subset_1 (tptp.k1_domain_1 (tptp.k2_zfmisc_1 tptp.f1_s1_cat_5 tptp.f1_s1_cat_5) tptp.f2_s1_cat_5 (tptp.k1_domain_1 tptp.f1_s1_cat_5 tptp.f1_s1_cat_5 B C) D) (tptp.u2_cat_1 A))))))))) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u2_cat_1 A)) (exists ((C $$unsorted)) (and (tptp.m1_subset_1 C tptp.f1_s1_cat_5) (exists ((D $$unsorted)) (and (tptp.m1_subset_1 D tptp.f1_s1_cat_5) (exists ((E $$unsorted)) (and (tptp.m1_subset_1 E tptp.f2_s1_cat_5) (= B (tptp.k1_domain_1 (tptp.k2_zfmisc_1 tptp.f1_s1_cat_5 tptp.f1_s1_cat_5) tptp.f2_s1_cat_5 (tptp.k1_domain_1 tptp.f1_s1_cat_5 tptp.f1_s1_cat_5 C D) E)) (tptp.p1_s1_cat_5 C D E))))))))) (forall ((B $$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.f1_s1_cat_5) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E tptp.f1_s1_cat_5) (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F tptp.f1_s1_cat_5) (forall ((G $$unsorted)) (=> (tptp.m1_subset_1 G tptp.f2_s1_cat_5) (forall ((H $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 tptp.f1_s1_cat_5 tptp.f1_s1_cat_5))) (=> (tptp.m1_subset_1 H tptp.f2_s1_cat_5) (=> (and (= B (tptp.k1_domain_1 _let_1 tptp.f2_s1_cat_5 (tptp.k1_domain_1 tptp.f1_s1_cat_5 tptp.f1_s1_cat_5 D E) G)) (= C (tptp.k1_domain_1 _let_1 tptp.f2_s1_cat_5 (tptp.k1_domain_1 tptp.f1_s1_cat_5 tptp.f1_s1_cat_5 E F) H))) (= (tptp.k4_cat_1 A B C) (tptp.k4_tarski (tptp.k1_domain_1 tptp.f1_s1_cat_5 tptp.f1_s1_cat_5 D F) (tptp.f3_s1_cat_5 H G)))))))))))))))))))))) (=> (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.f1_s2_cat_5) (exists ((B $$unsorted)) (and (tptp.m1_subset_1 B tptp.f2_s2_cat_5) (tptp.p1_s2_cat_5 A A B) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C tptp.f1_s2_cat_5) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D tptp.f2_s2_cat_5) (and (=> (tptp.p1_s2_cat_5 A C D) (= (tptp.f3_s2_cat_5 D B) D)) (=> (tptp.p1_s2_cat_5 C A D) (= (tptp.f3_s2_cat_5 B D) D))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_cat_1 A) (tptp.v2_cat_1 A) (tptp.v1_cat_5 A) (tptp.l1_cat_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_cat_1 B) (tptp.v2_cat_1 B) (tptp.v1_cat_5 B) (tptp.l1_cat_1 B)) (=> (and (= (tptp.u1_cat_1 A) tptp.f1_s2_cat_5) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C tptp.f1_s2_cat_5) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D tptp.f1_s2_cat_5) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E tptp.f2_s2_cat_5) (=> (tptp.p1_s2_cat_5 C D E) (tptp.m1_subset_1 (tptp.k1_domain_1 (tptp.k2_zfmisc_1 tptp.f1_s2_cat_5 tptp.f1_s2_cat_5) tptp.f2_s2_cat_5 (tptp.k1_domain_1 tptp.f1_s2_cat_5 tptp.f1_s2_cat_5 C D) E) (tptp.u2_cat_1 A))))))))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u2_cat_1 A)) (exists ((D $$unsorted)) (and (tptp.m1_subset_1 D tptp.f1_s2_cat_5) (exists ((E $$unsorted)) (and (tptp.m1_subset_1 E tptp.f1_s2_cat_5) (exists ((F $$unsorted)) (and (tptp.m1_subset_1 F tptp.f2_s2_cat_5) (= C (tptp.k1_domain_1 (tptp.k2_zfmisc_1 tptp.f1_s2_cat_5 tptp.f1_s2_cat_5) tptp.f2_s2_cat_5 (tptp.k1_domain_1 tptp.f1_s2_cat_5 tptp.f1_s2_cat_5 D E) F)) (tptp.p1_s2_cat_5 D E F))))))))) (forall ((C $$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.f1_s2_cat_5) (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F tptp.f1_s2_cat_5) (forall ((G $$unsorted)) (=> (tptp.m1_subset_1 G tptp.f1_s2_cat_5) (forall ((H $$unsorted)) (=> (tptp.m1_subset_1 H tptp.f2_s2_cat_5) (forall ((I $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 tptp.f1_s2_cat_5 tptp.f1_s2_cat_5))) (=> (tptp.m1_subset_1 I tptp.f2_s2_cat_5) (=> (and (= C (tptp.k1_domain_1 _let_1 tptp.f2_s2_cat_5 (tptp.k1_domain_1 tptp.f1_s2_cat_5 tptp.f1_s2_cat_5 E F) H)) (= D (tptp.k1_domain_1 _let_1 tptp.f2_s2_cat_5 (tptp.k1_domain_1 tptp.f1_s2_cat_5 tptp.f1_s2_cat_5 F G) I))) (= (tptp.k4_cat_1 A C D) (tptp.k4_tarski (tptp.k1_domain_1 tptp.f1_s2_cat_5 tptp.f1_s2_cat_5 E G) (tptp.f3_s2_cat_5 I H))))))))))))))))))) (= (tptp.u1_cat_1 B) tptp.f1_s2_cat_5) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C tptp.f1_s2_cat_5) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D tptp.f1_s2_cat_5) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E tptp.f2_s2_cat_5) (=> (tptp.p1_s2_cat_5 C D E) (tptp.m1_subset_1 (tptp.k1_domain_1 (tptp.k2_zfmisc_1 tptp.f1_s2_cat_5 tptp.f1_s2_cat_5) tptp.f2_s2_cat_5 (tptp.k1_domain_1 tptp.f1_s2_cat_5 tptp.f1_s2_cat_5 C D) E) (tptp.u2_cat_1 B))))))))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u2_cat_1 B)) (exists ((D $$unsorted)) (and (tptp.m1_subset_1 D tptp.f1_s2_cat_5) (exists ((E $$unsorted)) (and (tptp.m1_subset_1 E tptp.f1_s2_cat_5) (exists ((F $$unsorted)) (and (tptp.m1_subset_1 F tptp.f2_s2_cat_5) (= C (tptp.k1_domain_1 (tptp.k2_zfmisc_1 tptp.f1_s2_cat_5 tptp.f1_s2_cat_5) tptp.f2_s2_cat_5 (tptp.k1_domain_1 tptp.f1_s2_cat_5 tptp.f1_s2_cat_5 D E) F)) (tptp.p1_s2_cat_5 D E F))))))))) (forall ((C $$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.f1_s2_cat_5) (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F tptp.f1_s2_cat_5) (forall ((G $$unsorted)) (=> (tptp.m1_subset_1 G tptp.f1_s2_cat_5) (forall ((H $$unsorted)) (=> (tptp.m1_subset_1 H tptp.f2_s2_cat_5) (forall ((I $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 tptp.f1_s2_cat_5 tptp.f1_s2_cat_5))) (=> (tptp.m1_subset_1 I tptp.f2_s2_cat_5) (=> (and (= C (tptp.k1_domain_1 _let_1 tptp.f2_s2_cat_5 (tptp.k1_domain_1 tptp.f1_s2_cat_5 tptp.f1_s2_cat_5 E F) H)) (= D (tptp.k1_domain_1 _let_1 tptp.f2_s2_cat_5 (tptp.k1_domain_1 tptp.f1_s2_cat_5 tptp.f1_s2_cat_5 F G) I))) (= (tptp.k4_cat_1 B C D) (tptp.k4_tarski (tptp.k1_domain_1 tptp.f1_s2_cat_5 tptp.f1_s2_cat_5 E G) (tptp.f3_s2_cat_5 I H)))))))))))))))))))) (= A B))))))) (=> (and (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A (tptp.u2_cat_1 tptp.f1_s3_cat_5)) (and (tptp.m1_subset_1 (tptp.f4_s3_cat_5 A) (tptp.u2_cat_1 tptp.f2_s3_cat_5)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u2_cat_1 tptp.f2_s3_cat_5)) (=> (= B (tptp.f4_s3_cat_5 A)) (and (= (tptp.k2_cat_1 tptp.f2_s3_cat_5 B) (tptp.f3_s3_cat_5 (tptp.k2_cat_1 tptp.f1_s3_cat_5 A))) (= (tptp.k3_cat_1 tptp.f2_s3_cat_5 B) (tptp.f3_s3_cat_5 (tptp.k3_cat_1 tptp.f1_s3_cat_5 A)))))))))) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A (tptp.u1_cat_1 tptp.f1_s3_cat_5)) (= (tptp.f4_s3_cat_5 (tptp.k10_cat_1 tptp.f1_s3_cat_5 A)) (tptp.k10_cat_1 tptp.f2_s3_cat_5 (tptp.f3_s3_cat_5 A))))) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A (tptp.u2_cat_1 tptp.f1_s3_cat_5)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u2_cat_1 tptp.f1_s3_cat_5)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u2_cat_1 tptp.f2_s3_cat_5)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u2_cat_1 tptp.f2_s3_cat_5)) (=> (and (= C (tptp.f4_s3_cat_5 A)) (= D (tptp.f4_s3_cat_5 B)) (= (tptp.k2_cat_1 tptp.f1_s3_cat_5 B) (tptp.k3_cat_1 tptp.f1_s3_cat_5 A))) (= (tptp.f4_s3_cat_5 (tptp.k4_cat_1 tptp.f1_s3_cat_5 A B)) (tptp.k4_cat_1 tptp.f2_s3_cat_5 C D)))))))))))) (exists ((A $$unsorted)) (and (tptp.m2_cat_1 A tptp.f1_s3_cat_5 tptp.f2_s3_cat_5) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u2_cat_1 tptp.f1_s3_cat_5))) (=> (tptp.m1_subset_1 B _let_1) (= (tptp.k8_funct_2 _let_1 (tptp.u2_cat_1 tptp.f2_s3_cat_5) A B) (tptp.f4_s3_cat_5 B)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v2_cat_5 A)) (forall ((B $$unsorted)) (=> (tptp.m1_cat_5 B A) (and (tptp.v2_cat_1 B) (tptp.l1_cat_1 B)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v2_cat_5 A)) (exists ((B $$unsorted)) (tptp.m1_cat_5 B A)))) (forall ((A $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v2_cat_5 A)) (forall ((B $$unsorted)) (= (tptp.m1_cat_5 B A) (tptp.m1_subset_1 B A))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (not (tptp.v1_xboole_0 B)) (not (tptp.v1_xboole_0 C)) (tptp.m1_subset_1 D (tptp.k2_zfmisc_1 (tptp.k2_zfmisc_1 A B) C))) (tptp.m1_subset_1 (tptp.k1_cat_5 A B C D) A))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (not (tptp.v1_xboole_0 B)) (not (tptp.v1_xboole_0 C)) (tptp.m1_subset_1 D (tptp.k2_zfmisc_1 (tptp.k2_zfmisc_1 A B) C))) (= (tptp.k1_cat_5 A B C D) (tptp.k17_mcart_1 D)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (not (tptp.v1_xboole_0 B)) (not (tptp.v1_xboole_0 C)) (tptp.m1_subset_1 D (tptp.k2_zfmisc_1 (tptp.k2_zfmisc_1 A B) C))) (tptp.m1_subset_1 (tptp.k2_cat_5 A B C D) B))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (not (tptp.v1_xboole_0 B)) (not (tptp.v1_xboole_0 C)) (tptp.m1_subset_1 D (tptp.k2_zfmisc_1 (tptp.k2_zfmisc_1 A B) C))) (= (tptp.k2_cat_5 A B C D) (tptp.k18_mcart_1 D)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (not (tptp.v1_xboole_0 B)) (tptp.m1_subset_1 C (tptp.k2_zfmisc_1 A B))) (tptp.m1_subset_1 (tptp.k3_cat_5 A B C) B))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (not (tptp.v1_xboole_0 B)) (tptp.m1_subset_1 C (tptp.k2_zfmisc_1 A B))) (= (tptp.k3_cat_5 A B C) (tptp.k2_mcart_1 C)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_cat_5 A) (tptp.l1_cat_1 A) (tptp.m1_subset_1 B (tptp.u2_cat_1 A))) (tptp.m1_subset_1 (tptp.k4_cat_5 A B) (tptp.u1_cat_1 A)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_cat_5 A) (tptp.l1_cat_1 A) (tptp.m1_subset_1 B (tptp.u2_cat_1 A))) (= (tptp.k4_cat_5 A B) (tptp.k17_mcart_1 B)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_cat_5 A) (tptp.l1_cat_1 A) (tptp.m1_subset_1 B (tptp.u2_cat_1 A))) (tptp.m1_subset_1 (tptp.k5_cat_5 A B) (tptp.u1_cat_1 A)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_cat_5 A) (tptp.l1_cat_1 A) (tptp.m1_subset_1 B (tptp.u2_cat_1 A))) (= (tptp.k5_cat_5 A B) (tptp.k18_mcart_1 B)))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k6_cat_5 A B))) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A) (tptp.v2_cat_1 B) (tptp.l1_cat_1 B)) (and (tptp.v1_cat_1 _let_1) (tptp.v2_cat_1 _let_1) (tptp.l1_cat_1 _let_1))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k7_cat_5 A B C))) (=> (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)) (and (tptp.v1_cat_1 _let_1) (tptp.m3_cat_2 _let_1 B))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k8_cat_5 A B))) (=> (and (tptp.v2_cat_1 A) (tptp.v3_cat_5 A) (tptp.l1_cat_1 A) (tptp.m1_subset_1 B (tptp.u2_cat_1 A))) (and (tptp.v2_cat_1 _let_1) (tptp.l1_cat_1 _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.v3_cat_5 A) (tptp.l1_cat_1 A) (tptp.m1_subset_1 B (tptp.u2_cat_1 A))) (= (tptp.k8_cat_5 A B) (tptp.k17_mcart_1 B)))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k9_cat_5 A B))) (=> (and (tptp.v2_cat_1 A) (tptp.v3_cat_5 A) (tptp.l1_cat_1 A) (tptp.m1_subset_1 B (tptp.u2_cat_1 A))) (and (tptp.v2_cat_1 _let_1) (tptp.l1_cat_1 _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.v3_cat_5 A) (tptp.l1_cat_1 A) (tptp.m1_subset_1 B (tptp.u2_cat_1 A))) (= (tptp.k9_cat_5 A B) (tptp.k18_mcart_1 B)))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k10_cat_5 A))) (and (tptp.v2_cat_1 _let_1) (tptp.l1_cat_1 _let_1)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.v3_cat_5 A) (tptp.l1_cat_1 A) (tptp.m1_subset_1 B (tptp.u2_cat_1 A))) (tptp.m2_cat_1 (tptp.k11_cat_5 A B) (tptp.k10_cat_5 (tptp.k2_cat_1 A B)) (tptp.k10_cat_5 (tptp.k3_cat_1 A B))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.v3_cat_5 A) (tptp.l1_cat_1 A) (tptp.m1_subset_1 B (tptp.u2_cat_1 A))) (= (tptp.k11_cat_5 A B) (tptp.k2_mcart_1 B)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A) (tptp.m1_subset_1 B (tptp.u1_cat_1 A))) (tptp.m1_subset_1 (tptp.k12_cat_5 A B) (tptp.k1_zfmisc_1 (tptp.u2_cat_1 A))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A) (tptp.m1_subset_1 B (tptp.u1_cat_1 A))) (tptp.m1_subset_1 (tptp.k13_cat_5 A B) (tptp.k1_zfmisc_1 (tptp.u2_cat_1 A))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k14_cat_5 A B))) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A) (tptp.m1_subset_1 B (tptp.u1_cat_1 A))) (and (tptp.v1_cat_1 _let_1) (tptp.v2_cat_1 _let_1) (tptp.v1_cat_5 _let_1) (tptp.l1_cat_1 _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k15_cat_5 A B))) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A) (tptp.m1_subset_1 B (tptp.u1_cat_1 A))) (and (tptp.v1_cat_1 _let_1) (tptp.v2_cat_1 _let_1) (tptp.v1_cat_5 _let_1) (tptp.l1_cat_1 _let_1))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A) (tptp.m1_subset_1 B (tptp.u1_cat_1 A)) (tptp.m1_subset_1 C (tptp.u2_cat_1 (tptp.k14_cat_5 A B)))) (tptp.m1_subset_1 (tptp.k16_cat_5 A B C) (tptp.u2_cat_1 A)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A) (tptp.m1_subset_1 B (tptp.u1_cat_1 A)) (tptp.m1_subset_1 C (tptp.u2_cat_1 (tptp.k14_cat_5 A B)))) (= (tptp.k16_cat_5 A B C) (tptp.k2_mcart_1 C)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A) (tptp.m1_subset_1 B (tptp.u1_cat_1 A)) (tptp.m1_subset_1 C (tptp.u2_cat_1 (tptp.k14_cat_5 A B)))) (tptp.m2_subset_1 (tptp.k17_cat_5 A B C) (tptp.u2_cat_1 A) (tptp.k12_cat_5 A B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A) (tptp.m1_subset_1 B (tptp.u1_cat_1 A)) (tptp.m1_subset_1 C (tptp.u2_cat_1 (tptp.k14_cat_5 A B)))) (= (tptp.k17_cat_5 A B C) (tptp.k17_mcart_1 C)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A) (tptp.m1_subset_1 B (tptp.u1_cat_1 A)) (tptp.m1_subset_1 C (tptp.u2_cat_1 (tptp.k14_cat_5 A B)))) (tptp.m2_subset_1 (tptp.k18_cat_5 A B C) (tptp.u2_cat_1 A) (tptp.k12_cat_5 A B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A) (tptp.m1_subset_1 B (tptp.u1_cat_1 A)) (tptp.m1_subset_1 C (tptp.u2_cat_1 (tptp.k14_cat_5 A B)))) (= (tptp.k18_cat_5 A B C) (tptp.k18_mcart_1 C)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A) (tptp.m1_subset_1 B (tptp.u1_cat_1 A)) (tptp.m1_subset_1 C (tptp.u2_cat_1 (tptp.k15_cat_5 A B)))) (tptp.m1_subset_1 (tptp.k19_cat_5 A B C) (tptp.u2_cat_1 A)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A) (tptp.m1_subset_1 B (tptp.u1_cat_1 A)) (tptp.m1_subset_1 C (tptp.u2_cat_1 (tptp.k15_cat_5 A B)))) (= (tptp.k19_cat_5 A B C) (tptp.k2_mcart_1 C)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A) (tptp.m1_subset_1 B (tptp.u1_cat_1 A)) (tptp.m1_subset_1 C (tptp.u2_cat_1 (tptp.k15_cat_5 A B)))) (tptp.m2_subset_1 (tptp.k20_cat_5 A B C) (tptp.u2_cat_1 A) (tptp.k13_cat_5 A B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A) (tptp.m1_subset_1 B (tptp.u1_cat_1 A)) (tptp.m1_subset_1 C (tptp.u2_cat_1 (tptp.k15_cat_5 A B)))) (= (tptp.k20_cat_5 A B C) (tptp.k17_mcart_1 C)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A) (tptp.m1_subset_1 B (tptp.u1_cat_1 A)) (tptp.m1_subset_1 C (tptp.u2_cat_1 (tptp.k15_cat_5 A B)))) (tptp.m2_subset_1 (tptp.k21_cat_5 A B C) (tptp.u2_cat_1 A) (tptp.k13_cat_5 A B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A) (tptp.m1_subset_1 B (tptp.u1_cat_1 A)) (tptp.m1_subset_1 C (tptp.u2_cat_1 (tptp.k15_cat_5 A B)))) (= (tptp.k21_cat_5 A B C) (tptp.k18_mcart_1 C)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A) (tptp.m1_subset_1 B (tptp.u2_cat_1 A))) (tptp.m2_cat_1 (tptp.k22_cat_5 A B) (tptp.k14_cat_5 A (tptp.k2_cat_1 A B)) (tptp.k14_cat_5 A (tptp.k3_cat_1 A B))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A) (tptp.m1_subset_1 B (tptp.u2_cat_1 A))) (tptp.m2_cat_1 (tptp.k23_cat_5 A B) (tptp.k15_cat_5 A (tptp.k3_cat_1 A B)) (tptp.k15_cat_5 A (tptp.k2_cat_1 A B))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k2_funcop_1 A B))) (=> (not (tptp.v1_xboole_0 B)) (and (tptp.v1_relat_1 _let_1) (tptp.v2_relat_1 _let_1) (tptp.v1_funct_1 _let_1))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (not (tptp.v1_xboole_0 (tptp.u1_pre_topc A))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 A))) (not (tptp.v1_xboole_0 (tptp.k2_cantor_1 A B))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 A))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 A))) (= (= C (tptp.k1_cantor_1 A B)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 A)) (= (tptp.r2_hidden D C) (exists ((E $$unsorted)) (and (tptp.m1_subset_1 E (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 A))) (tptp.r1_tarski E B) (= D (tptp.k5_setfam_1 A E)))))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.u1_pre_topc A))) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 _let_1))) (= (tptp.m1_cantor_1 B A) (and (tptp.r1_tarski B _let_2) (tptp.r1_tarski _let_2 (tptp.k1_cantor_1 _let_1 B)))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 A))) (tptp.r1_tarski B (tptp.k1_cantor_1 A B)))) (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (tptp.m1_cantor_1 (tptp.u1_pre_topc A) A))) (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (tptp.v1_tops_2 (tptp.u1_pre_topc A) A))) true (forall ((A $$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.k2_cantor_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.m1_subset_1 E (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 A))) (tptp.r1_tarski E B) (tptp.v1_finset_1 E) (= D (tptp.k8_setfam_1 A E)))))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 A))) (tptp.r1_tarski B (tptp.k2_cantor_1 A B)))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.u1_pre_topc A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (= _let_1 (tptp.k2_cantor_1 (tptp.u1_struct_0 A) _let_1))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.u1_pre_topc A))) (=> (and (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (= _let_1 (tptp.k1_cantor_1 (tptp.u1_struct_0 A) _let_1))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.u1_pre_topc A))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (= _let_1 (tptp.k1_cantor_1 _let_2 (tptp.k2_cantor_1 _let_2 _let_1))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 A))) (tptp.r2_hidden A (tptp.k2_cantor_1 A B)))) (forall ((A $$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 (tptp.k1_zfmisc_1 A))) (=> (tptp.r1_tarski B C) (tptp.r1_tarski (tptp.k1_cantor_1 A B) (tptp.k1_cantor_1 A C))))))) true true (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k2_cantor_1 A B))) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 A))) (= _let_1 (tptp.k2_cantor_1 A _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)) (let ((_let_1 (tptp.k2_cantor_1 A B))) (=> (and (tptp.r2_hidden C _let_1) (tptp.r2_hidden D _let_1)) (tptp.r2_hidden (tptp.k3_xboole_0 C D) _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)) (let ((_let_1 (tptp.k2_cantor_1 A B))) (=> (and (tptp.r1_tarski C _let_1) (tptp.r1_tarski D _let_1)) (tptp.r1_tarski (tptp.k3_setfam_1 C D) _let_1)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 A))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 A))) (=> (tptp.r1_tarski B C) (tptp.r1_tarski (tptp.k2_cantor_1 A B) (tptp.k2_cantor_1 A C))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 A))) (tptp.v2_pre_topc (tptp.g1_pre_topc A (tptp.k1_cantor_1 A (tptp.k2_cantor_1 A B)))))))) (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (= (tptp.m2_cantor_1 B A) (and (tptp.r1_tarski B (tptp.u1_pre_topc A)) (exists ((C $$unsorted)) (and (tptp.m1_cantor_1 C A) (tptp.r1_tarski C (tptp.k2_cantor_1 (tptp.u1_struct_0 A) B)))))))))) (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))) (tptp.m1_cantor_1 B (tptp.g1_pre_topc A (tptp.k1_cantor_1 A B))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v1_pre_topc A) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v1_pre_topc B) (tptp.v2_pre_topc B) (tptp.l1_pre_topc B)) (forall ((C $$unsorted)) (=> (tptp.m2_cantor_1 C A) (=> (and (= (tptp.u1_struct_0 A) (tptp.u1_struct_0 B)) (tptp.m2_cantor_1 C B)) (= A B)))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 A))) (tptp.m2_cantor_1 B (tptp.g1_pre_topc A (tptp.k1_cantor_1 A (tptp.k2_cantor_1 A B)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v1_pre_topc A) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (= (= A tptp.k4_cantor_1) (and (= (tptp.u1_struct_0 A) (tptp.k4_card_3 (tptp.k2_funcop_1 tptp.k5_numbers (tptp.k2_tarski tptp.np__0 tptp.np__1)))) (exists ((B $$unsorted)) (and (tptp.m2_cantor_1 B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.k4_card_3 (tptp.k2_funcop_1 tptp.k5_numbers (tptp.k2_tarski tptp.np__0 tptp.np__1))))) (= (tptp.r2_hidden C B) (exists ((D $$unsorted)) (and (tptp.m2_subset_1 D tptp.k1_numbers tptp.k5_numbers) (exists ((E $$unsorted)) (and (tptp.m2_subset_1 E tptp.k1_numbers tptp.k5_numbers) (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F (tptp.k4_card_3 (tptp.k2_funcop_1 tptp.k5_numbers (tptp.k2_tarski tptp.np__0 tptp.np__1)))) (= (tptp.r2_hidden F C) (= (tptp.k1_funct_1 F D) E))))))))))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (forall ((B $$unsorted)) (=> (tptp.m1_cantor_1 B A) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))))))) (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (exists ((B $$unsorted)) (tptp.m1_cantor_1 B A)))) (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (forall ((B $$unsorted)) (=> (tptp.m2_cantor_1 B A) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))))))) (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (exists ((B $$unsorted)) (tptp.m2_cantor_1 B A)))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 A)))) (=> (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 (tptp.k1_cantor_1 A B) _let_1)))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 A)))) (=> (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 (tptp.k2_cantor_1 A B) _let_1)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 A)))) (let ((_let_2 (tptp.k1_zfmisc_1 C))) (=> (and (tptp.m1_subset_1 C _let_1) (tptp.v1_funct_1 D) (tptp.v1_funct_2 D B _let_2) (tptp.m1_relset_1 D B _let_2)) (tptp.m1_subset_1 (tptp.k3_cantor_1 A B C D E) _let_1))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 C))) (=> (and (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 A))) (tptp.v1_funct_1 D) (tptp.v1_funct_2 D B _let_1) (tptp.m1_relset_1 D B _let_1)) (= (tptp.k3_cantor_1 A B C D E) (tptp.k1_funct_1 D E))))) (and (not (tptp.v3_struct_0 tptp.k4_cantor_1)) (tptp.v1_pre_topc tptp.k4_cantor_1) (tptp.v2_pre_topc tptp.k4_cantor_1) (tptp.l1_pre_topc tptp.k4_cantor_1)) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 A))))) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 A))) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 _let_1)) (=> (= C (tptp.a_2_0_cantor_1 A B)) (= (tptp.k8_setfam_1 A C) (tptp.k8_setfam_1 A (tptp.k5_setfam_1 _let_1 B))))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v1_xboole_0 C)) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 B))))) (= (tptp.r2_hidden A (tptp.a_2_0_cantor_1 B C)) (exists ((D $$unsorted)) (and (tptp.m2_subset_1 D (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 B)) C) (= A (tptp.k8_setfam_1 B D))))))) (forall ((A $$unsorted)) (=> (tptp.v1_fraenkel A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (tptp.v1_fraenkel 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.v1_funcop_1 A)) (and (tptp.v1_relat_1 _let_1) (tptp.v1_funct_1 _let_1) (tptp.v1_funcop_1 _let_1))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k1_tarski A))) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (and (not (tptp.v1_xboole_0 _let_1)) (tptp.v1_finset_1 _let_1) (tptp.v1_fraenkel _let_1) (tptp.v1_realset1 _let_1))))) (exists ((A $$unsorted)) (and (tptp.l1_altcat_1 A) (tptp.v1_altcat_1 A))) (exists ((A $$unsorted)) (and (tptp.l2_altcat_1 A) (tptp.v6_altcat_1 A))) (exists ((A $$unsorted)) (and (tptp.l2_altcat_1 A) (not (tptp.v3_struct_0 A)) (tptp.v6_altcat_1 A))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_fraenkel A) (tptp.v1_fraenkel B)) (exists ((C $$unsorted)) (and (tptp.m1_pboole C (tptp.k2_zfmisc_1 A B)) (tptp.v1_relat_1 C) (tptp.v1_funct_1 C) (tptp.v1_funcop_1 C) (tptp.v7_altcat_1 C))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.g2_altcat_1 A B C))) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.m1_pboole B (tptp.k2_zfmisc_1 A A)) (tptp.m3_pboole C (tptp.k3_zfmisc_1 A A A) (tptp.k3_altcat_1 A B B) (tptp.k2_altcat_1 A B))) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v6_altcat_1 _let_1))))) (exists ((A $$unsorted)) (and (tptp.l2_altcat_1 A) (not (tptp.v3_struct_0 A)) (tptp.v6_altcat_1 A) (tptp.v10_altcat_1 A))) (exists ((A $$unsorted)) (and (tptp.l2_altcat_1 A) (not (tptp.v3_struct_0 A)) (tptp.v2_altcat_1 A) (tptp.v6_altcat_1 A) (tptp.v11_altcat_1 A) (tptp.v12_altcat_1 A))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k7_altcat_1 A))) (=> (not (tptp.v1_xboole_0 A)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v2_altcat_1 _let_1) (tptp.v6_altcat_1 _let_1) (tptp.v10_altcat_1 _let_1) (tptp.v11_altcat_1 _let_1) (tptp.v12_altcat_1 _let_1))))) (forall ((A $$unsorted)) (let ((_let_1 (not (tptp.v3_struct_0 A)))) (=> (tptp.l2_altcat_1 A) (=> (and _let_1 (tptp.v2_altcat_1 A) (tptp.v8_altcat_1 A) (tptp.v9_altcat_1 A)) (and _let_1 (tptp.v10_altcat_1 A)))))) (forall ((A $$unsorted)) (let ((_let_1 (not (tptp.v3_struct_0 A)))) (=> (tptp.l2_altcat_1 A) (=> (and _let_1 (tptp.v2_altcat_1 A) (tptp.v10_altcat_1 A) (tptp.v12_altcat_1 A)) (and _let_1 (tptp.v8_altcat_1 A) (tptp.v9_altcat_1 A)))))) (forall ((A $$unsorted)) (=> (tptp.l2_altcat_1 A) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_realset2 A)) (tptp.v13_altcat_1 A)))) (exists ((A $$unsorted)) (and (tptp.l2_altcat_1 A) (not (tptp.v3_struct_0 A)) (tptp.v3_realset2 A) (tptp.v2_altcat_1 A) (tptp.v6_altcat_1 A) (tptp.v11_altcat_1 A) (tptp.v12_altcat_1 A) (tptp.v13_altcat_1 A) (tptp.v14_altcat_1 A))) (exists ((A $$unsorted)) (and (tptp.l2_altcat_1 A) (not (tptp.v3_struct_0 A)) (tptp.v3_realset2 A) (tptp.v2_altcat_1 A) (tptp.v6_altcat_1 A) (tptp.v11_altcat_1 A) (tptp.v12_altcat_1 A) (tptp.v13_altcat_1 A) (tptp.v14_altcat_1 A))) (forall ((A $$unsorted)) (=> (tptp.l2_altcat_1 A) (=> (tptp.v13_altcat_1 A) (tptp.v2_altcat_1 A)))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k9_altcat_1 A))) (=> (not (tptp.v1_xboole_0 A)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v2_altcat_1 _let_1) (tptp.v6_altcat_1 _let_1) (tptp.v8_altcat_1 _let_1) (tptp.v9_altcat_1 _let_1) (tptp.v10_altcat_1 _let_1) (tptp.v11_altcat_1 _let_1) (tptp.v12_altcat_1 _let_1) (tptp.v13_altcat_1 _let_1) (tptp.v14_altcat_1 _let_1))))) true (forall ((A $$unsorted)) (tptp.r2_hidden (tptp.k6_relat_1 A) (tptp.k1_funct_2 A A))) (= (tptp.k1_funct_2 tptp.k1_xboole_0 tptp.k1_xboole_0) (tptp.k1_tarski _let_16)) (forall ((A $$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)) (=> (and (tptp.r2_hidden D (tptp.k1_funct_2 A B)) (tptp.r2_hidden E (tptp.k1_funct_2 B C))) (tptp.r2_hidden (tptp.k5_relat_1 D E) (tptp.k1_funct_2 A C))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (not (and (not (= (tptp.k1_funct_2 A B) tptp.k1_xboole_0)) (not (= (tptp.k1_funct_2 B C) tptp.k1_xboole_0)) (= (tptp.k1_funct_2 A C) tptp.k1_xboole_0)))) true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.m1_pboole C (tptp.k2_zfmisc_1 B A)) (forall ((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 $$unsorted) (G $$unsorted)) (=> (and (tptp.r2_hidden F D) (tptp.r2_hidden G E)) (= (tptp.k1_binop_1 C G F) (tptp.k1_binop_1 (tptp.k7_relat_1 C (tptp.k12_mcart_1 B A E D)) G F)))))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.m1_pboole C (tptp.k2_zfmisc_1 A B)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A B))) (=> (tptp.m1_pboole D _let_1) (=> (forall ((E $$unsorted) (F $$unsorted)) (=> (and (tptp.r2_hidden E A) (tptp.r2_hidden F B)) (= (tptp.k1_binop_1 C E F) (tptp.k1_binop_1 D E F)))) (tptp.r6_pboole _let_1 D C))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (=> (tptp.m1_pboole C (tptp.k2_zfmisc_1 A B)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A B))) (=> (tptp.m1_pboole D _let_1) (=> (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E A) (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F B) (= (tptp.k1_binop_1 C E F) (tptp.k1_binop_1 D E F)))))) (tptp.r6_pboole _let_1 D C))))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B (tptp.k3_zfmisc_1 A A A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k3_zfmisc_1 A A A))) (=> (tptp.m1_pboole C _let_1) (=> (forall ((D $$unsorted) (E $$unsorted) (F $$unsorted)) (=> (and (tptp.r2_hidden D A) (tptp.r2_hidden E A) (tptp.r2_hidden F A)) (= (tptp.k1_multop_1 B D E F) (tptp.k1_multop_1 C D E F)))) (tptp.r6_pboole _let_1 C B))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.k9_funct_2 A B C) (tptp.k3_cqc_lang (tptp.k4_tarski A B) C))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.k1_binop_1 (tptp.k9_funct_2 A B C) A B) C)) true (forall ((A $$unsorted)) (=> (tptp.l1_altcat_1 A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (tptp.k1_altcat_1 A B C) (tptp.k1_binop_1 (tptp.u1_altcat_1 A) B C)))))))) true (forall ((A $$unsorted)) (=> (tptp.l1_altcat_1 A) (= (tptp.v2_altcat_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 $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (not (and (not (= (tptp.k1_altcat_1 A B C) tptp.k1_xboole_0)) (not (= (tptp.k1_altcat_1 A C D) tptp.k1_xboole_0)) (= (tptp.k1_altcat_1 A B D) tptp.k1_xboole_0)))))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B (tptp.k2_zfmisc_1 A A)) (forall ((C $$unsorted)) (=> (tptp.m1_pboole C (tptp.k3_zfmisc_1 A A A)) (= (= C (tptp.k2_altcat_1 A B)) (forall ((D $$unsorted) (E $$unsorted) (F $$unsorted)) (=> (and (tptp.r2_hidden D A) (tptp.r2_hidden E A) (tptp.r2_hidden F A)) (= (tptp.k1_multop_1 C D E F) (tptp.k1_binop_1 B D F))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B (tptp.k2_zfmisc_1 A A)) (forall ((C $$unsorted)) (=> (tptp.m1_pboole C (tptp.k2_zfmisc_1 A A)) (forall ((D $$unsorted)) (=> (tptp.m1_pboole D (tptp.k3_zfmisc_1 A A A)) (= (= D (tptp.k3_altcat_1 A B C)) (forall ((E $$unsorted) (F $$unsorted) (G $$unsorted)) (=> (and (tptp.r2_hidden E A) (tptp.r2_hidden F A) (tptp.r2_hidden G A)) (= (tptp.k1_multop_1 D E F G) (tptp.k2_zfmisc_1 (tptp.k1_binop_1 C F G) (tptp.k1_binop_1 B E F)))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (tptp.m1_pboole B (tptp.k2_zfmisc_1 A A)) (forall ((C $$unsorted)) (=> (tptp.m3_pboole C (tptp.k3_zfmisc_1 A A A) (tptp.k3_altcat_1 A B B) (tptp.k2_altcat_1 A B)) (= (tptp.v3_altcat_1 C A B) (forall ((D $$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 $$unsorted)) (=> (tptp.m1_subset_1 G A) (forall ((H $$unsorted) (I $$unsorted) (J $$unsorted)) (=> (and (tptp.r2_hidden H (tptp.k1_binop_1 B D E)) (tptp.r2_hidden I (tptp.k1_binop_1 B E F)) (tptp.r2_hidden J (tptp.k1_binop_1 B F G))) (= (tptp.k1_binop_1 (tptp.k4_altcat_1 A B C D F G) J (tptp.k1_binop_1 (tptp.k4_altcat_1 A B C D E F) I H)) (tptp.k1_binop_1 (tptp.k4_altcat_1 A B C D E G) (tptp.k1_binop_1 (tptp.k4_altcat_1 A B C E F G) J I) H))))))))))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (tptp.m1_pboole B (tptp.k2_zfmisc_1 A A)) (forall ((C $$unsorted)) (=> (tptp.m3_pboole C (tptp.k3_zfmisc_1 A A A) (tptp.k3_altcat_1 A B B) (tptp.k2_altcat_1 A B)) (= (tptp.v4_altcat_1 C A B) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D A) (exists ((E $$unsorted)) (and (tptp.r2_hidden E (tptp.k1_binop_1 B D D)) (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F A) (forall ((G $$unsorted)) (=> (tptp.r2_hidden G (tptp.k1_binop_1 B D F)) (= (tptp.k1_binop_1 (tptp.k4_altcat_1 A B C D D F) G E) G)))))))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (tptp.m1_pboole B (tptp.k2_zfmisc_1 A A)) (forall ((C $$unsorted)) (=> (tptp.m3_pboole C (tptp.k3_zfmisc_1 A A A) (tptp.k3_altcat_1 A B B) (tptp.k2_altcat_1 A B)) (= (tptp.v5_altcat_1 C A B) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D A) (exists ((E $$unsorted)) (and (tptp.r2_hidden E (tptp.k1_binop_1 B D D)) (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F A) (forall ((G $$unsorted)) (=> (tptp.r2_hidden G (tptp.k1_binop_1 B F D)) (= (tptp.k1_binop_1 (tptp.k4_altcat_1 A B C F D D) E G) G)))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l2_altcat_1 A)) (forall ((B $$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)) (not (and (not (= (tptp.k1_altcat_1 A B C) tptp.k1_xboole_0)) (not (= (tptp.k1_altcat_1 A C D) tptp.k1_xboole_0)) (not (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.k1_altcat_1 A B C)) (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F (tptp.k1_altcat_1 A C D)) (= (tptp.k5_altcat_1 A B C D E F) (tptp.k1_binop_1 (tptp.k4_altcat_1 (tptp.u1_struct_0 A) (tptp.u1_altcat_1 A) (tptp.u2_altcat_1 A) B C D) F E))))))))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (= (tptp.v7_altcat_1 A) (forall ((B $$unsorted)) (not (and (tptp.r2_hidden B (tptp.k1_relat_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)) (not (and (= B (tptp.k4_tarski D C)) (= (tptp.k1_funct_1 A B) (tptp.k5_relat_1 C D)))))))))))))) (forall ((A $$unsorted)) (=> (tptp.v1_fraenkel A) (forall ((B $$unsorted)) (=> (tptp.v1_fraenkel B) (forall ((C $$unsorted)) (=> (and (tptp.v7_altcat_1 C) (tptp.m1_pboole C (tptp.k2_zfmisc_1 A B))) (forall ((D $$unsorted)) (=> (and (tptp.v1_relat_1 D) (tptp.v1_funct_1 D)) (forall ((E $$unsorted)) (=> (and (tptp.v1_relat_1 E) (tptp.v1_funct_1 E)) (=> (and (tptp.r2_hidden D A) (tptp.r2_hidden E B)) (= (tptp.k1_binop_1 C D E) (tptp.k5_relat_1 E D))))))))))))) (forall ((A $$unsorted)) (=> (tptp.v1_fraenkel A) (forall ((B $$unsorted)) (=> (tptp.v1_fraenkel B) (forall ((C $$unsorted)) (=> (and (tptp.v1_funcop_1 C) (tptp.v7_altcat_1 C) (tptp.m1_pboole C (tptp.k2_zfmisc_1 B A))) (= C (tptp.k6_altcat_1 A B)))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (tptp.r1_tarski (tptp.k2_relat_1 (tptp.k6_altcat_1 (tptp.k1_funct_2 A B) (tptp.k1_funct_2 B C))) (tptp.k1_funct_2 A C))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k6_relat_1 A))) (let ((_let_2 (tptp.k1_tarski _let_1))) (= (tptp.k6_altcat_1 _let_2 _let_2) (tptp.k9_funct_2 _let_1 _let_1 _let_1))))) (forall ((A $$unsorted)) (=> (tptp.v1_fraenkel A) (forall ((B $$unsorted)) (=> (tptp.v1_fraenkel B) (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 B)) (= (tptp.k6_altcat_1 C D) (tptp.k7_relat_1 (tptp.k6_altcat_1 A B) (tptp.k12_mcart_1 B A D C))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l2_altcat_1 A)) (= (tptp.v8_altcat_1 A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (tptp.r1_tarski (tptp.k1_altcat_1 A B C) (tptp.k1_funct_2 B C))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l2_altcat_1 A)) (= (tptp.v9_altcat_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 $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (not (and (not (= (tptp.k1_altcat_1 A B C) tptp.k1_xboole_0)) (not (= (tptp.k1_altcat_1 A C D) tptp.k1_xboole_0)) (not (= (tptp.k1_altcat_1 A B D) tptp.k1_xboole_0)) (exists ((E $$unsorted)) (and (tptp.m1_subset_1 E (tptp.k1_altcat_1 A B C)) (exists ((F $$unsorted)) (and (tptp.m1_subset_1 F (tptp.k1_altcat_1 A C D)) (exists ((G $$unsorted)) (and (tptp.v1_relat_1 G) (tptp.v1_funct_1 G) (exists ((H $$unsorted)) (and (tptp.v1_relat_1 H) (tptp.v1_funct_1 H) (= E G) (= F H) (not (= (tptp.k5_altcat_1 A B C D E F) (tptp.k5_relat_1 G H)))))))))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l2_altcat_1 A)) (= (tptp.v10_altcat_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 $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 D _let_1) (= (tptp.k4_altcat_1 _let_1 (tptp.u1_altcat_1 A) (tptp.u2_altcat_1 A) B C D) (tptp.k7_relat_1 (tptp.k6_altcat_1 (tptp.k1_funct_2 B C) (tptp.k1_funct_2 C D)) (tptp.k2_zfmisc_1 (tptp.k1_altcat_1 A C D) (tptp.k1_altcat_1 A B C)))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l2_altcat_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 $$unsorted)) (let ((_let_1 (tptp.k1_altcat_1 A B D))) (let ((_let_2 (tptp.k2_zfmisc_1 (tptp.k1_altcat_1 A C D) (tptp.k1_altcat_1 A B C)))) (let ((_let_3 (tptp.u1_struct_0 A))) (let ((_let_4 (tptp.k4_altcat_1 _let_3 (tptp.u1_altcat_1 A) (tptp.u2_altcat_1 A) B C D))) (=> (tptp.m1_subset_1 D _let_3) (and (tptp.v1_funct_1 _let_4) (tptp.v1_funct_2 _let_4 _let_2 _let_1) (tptp.m2_relset_1 _let_4 _let_2 _let_1)))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_altcat_1 A) (tptp.l2_altcat_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 $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (not (and (not (= (tptp.k1_altcat_1 A B C) tptp.k1_xboole_0)) (not (= (tptp.k1_altcat_1 A C D) tptp.k1_xboole_0)) (not (= (tptp.k1_altcat_1 A B D) tptp.k1_xboole_0)) (exists ((E $$unsorted)) (and (tptp.m1_subset_1 E (tptp.k1_altcat_1 A B C)) (exists ((F $$unsorted)) (and (tptp.m1_subset_1 F (tptp.k1_altcat_1 A C D)) (exists ((G $$unsorted)) (and (tptp.v1_relat_1 G) (tptp.v1_funct_1 G) (exists ((H $$unsorted)) (and (tptp.v1_relat_1 H) (tptp.v1_funct_1 H) (= E G) (= F H) (not (= (tptp.k5_altcat_1 A B C D E F) (tptp.k5_relat_1 G H))))))))))))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v6_altcat_1 B) (tptp.v10_altcat_1 B) (tptp.l2_altcat_1 B)) (= (= B (tptp.k7_altcat_1 A)) (and (= (tptp.u1_struct_0 B) A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 B)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 B)) (= (tptp.k1_altcat_1 B C D) (tptp.k1_funct_2 C D)))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l2_altcat_1 A)) (= (tptp.v11_altcat_1 A) (tptp.v3_altcat_1 (tptp.u2_altcat_1 A) (tptp.u1_struct_0 A) (tptp.u1_altcat_1 A))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.u1_altcat_1 A))) (let ((_let_2 (tptp.u1_struct_0 A))) (let ((_let_3 (tptp.u2_altcat_1 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l2_altcat_1 A)) (= (tptp.v12_altcat_1 A) (and (tptp.v5_altcat_1 _let_3 _let_2 _let_1) (tptp.v4_altcat_1 _let_3 _let_2 _let_1)))))))) true (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_altcat_1 A) (tptp.l2_altcat_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 $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.k4_altcat_1 _let_1 (tptp.u1_altcat_1 A) (tptp.u2_altcat_1 A) B C D))) (=> (tptp.m1_subset_1 D _let_1) (and (= (tptp.k1_relat_1 _let_2) (tptp.k2_zfmisc_1 (tptp.k1_altcat_1 A C D) (tptp.k1_altcat_1 A B C))) (tptp.r1_tarski (tptp.k2_relat_1 _let_2) (tptp.k1_altcat_1 A B D))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v12_altcat_1 A) (tptp.l2_altcat_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (not (= (tptp.k1_altcat_1 A B B) tptp.k1_xboole_0)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v12_altcat_1 A) (tptp.l2_altcat_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_altcat_1 A B B)) (= (= C (tptp.k8_altcat_1 A B)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (=> (not (= (tptp.k1_altcat_1 A B D) tptp.k1_xboole_0)) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.k1_altcat_1 A B D)) (= (tptp.k5_altcat_1 A B B D C E) E))))))))))))) true (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v12_altcat_1 A) (tptp.l2_altcat_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (tptp.r2_hidden (tptp.k8_altcat_1 A B) (tptp.k1_altcat_1 A B B)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v12_altcat_1 A) (tptp.l2_altcat_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (=> (not (= (tptp.k1_altcat_1 A B C) tptp.k1_xboole_0)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_altcat_1 A B C)) (= (tptp.k5_altcat_1 A B C C D (tptp.k8_altcat_1 A C)) D)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_altcat_1 A) (tptp.v11_altcat_1 A) (tptp.l2_altcat_1 A)) (forall ((B $$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 $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.u1_struct_0 A)) (not (and (not (= (tptp.k1_altcat_1 A B C) tptp.k1_xboole_0)) (not (= (tptp.k1_altcat_1 A C D) tptp.k1_xboole_0)) (not (= (tptp.k1_altcat_1 A D E) tptp.k1_xboole_0)) (not (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F (tptp.k1_altcat_1 A B C)) (forall ((G $$unsorted)) (=> (tptp.m1_subset_1 G (tptp.k1_altcat_1 A C D)) (forall ((H $$unsorted)) (=> (tptp.m1_subset_1 H (tptp.k1_altcat_1 A D E)) (= (tptp.k5_altcat_1 A B D E (tptp.k5_altcat_1 A B C D F G) H) (tptp.k5_altcat_1 A B C E F (tptp.k5_altcat_1 A C D E G H)))))))))))))))))))))) (forall ((A $$unsorted)) (=> (tptp.l2_altcat_1 A) (= (tptp.v13_altcat_1 A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (=> (not (= (tptp.k1_altcat_1 A B C) tptp.k1_xboole_0)) (= B C))))))))) (forall ((A $$unsorted)) (=> (tptp.l2_altcat_1 A) (= (tptp.v14_altcat_1 A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (tptp.v1_realset1 (tptp.k1_altcat_1 A B B))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v12_altcat_1 A) (tptp.l2_altcat_1 A)) (= (tptp.v14_altcat_1 A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (= (tptp.k1_altcat_1 A B B) (tptp.k1_tarski (tptp.k8_altcat_1 A B)))))))) (and (tptp.v14_altcat_1 _let_15) (tptp.v3_realset2 _let_15)) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v6_altcat_1 B) (tptp.v13_altcat_1 B) (tptp.l2_altcat_1 B)) (= (= B (tptp.k9_altcat_1 A)) (and (= (tptp.u1_struct_0 B) A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 B)) (= (tptp.k1_altcat_1 B C C) (tptp.k1_tarski (tptp.k6_relat_1 C))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 (tptp.k9_altcat_1 A))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 (tptp.k9_altcat_1 A))) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k9_altcat_1 A))) (let ((_let_2 (tptp.u1_struct_0 _let_1))) (=> (tptp.m1_subset_1 D _let_2) (=> (not (and (= B C) (= C D))) (= (tptp.k4_altcat_1 _let_2 (tptp.u1_altcat_1 _let_1) (tptp.u2_altcat_1 _let_1) B C D) tptp.k1_xboole_0)))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k6_relat_1 B))) (let ((_let_2 (tptp.k9_altcat_1 A))) (let ((_let_3 (tptp.u1_struct_0 _let_2))) (=> (tptp.m1_subset_1 B _let_3) (= (tptp.k4_altcat_1 _let_3 (tptp.u1_altcat_1 _let_2) (tptp.u2_altcat_1 _let_2) B B B) (tptp.k9_funct_2 _let_1 _let_1 _let_1))))))))) (exists ((A $$unsorted)) (and (tptp.m1_pboole A (tptp.k2_zfmisc_1 tptp.f1_s1_altcat_1 tptp.f2_s1_altcat_1)) (forall ((B $$unsorted) (C $$unsorted)) (=> (and (tptp.r2_hidden B tptp.f1_s1_altcat_1) (tptp.r2_hidden C tptp.f2_s1_altcat_1)) (= (tptp.k1_binop_1 A B C) (tptp.f3_s1_altcat_1 B C)))))) (exists ((A $$unsorted)) (and (tptp.m1_pboole A (tptp.k2_zfmisc_1 tptp.f1_s2_altcat_1 tptp.f2_s2_altcat_1)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.f1_s2_altcat_1) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C tptp.f2_s2_altcat_1) (= (tptp.k1_binop_1 A B C) (tptp.f3_s2_altcat_1 B C)))))))) (exists ((A $$unsorted)) (and (tptp.m1_pboole A (tptp.k3_zfmisc_1 tptp.f1_s3_altcat_1 tptp.f2_s3_altcat_1 tptp.f3_s3_altcat_1)) (forall ((B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.r2_hidden B tptp.f1_s3_altcat_1) (tptp.r2_hidden C tptp.f2_s3_altcat_1) (tptp.r2_hidden D tptp.f3_s3_altcat_1)) (= (tptp.k1_multop_1 A B C D) (tptp.f4_s3_altcat_1 B C D)))))) (exists ((A $$unsorted)) (and (tptp.m1_pboole A (tptp.k3_zfmisc_1 tptp.f1_s4_altcat_1 tptp.f2_s4_altcat_1 tptp.f3_s4_altcat_1)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.f1_s4_altcat_1) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C tptp.f2_s4_altcat_1) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D tptp.f3_s4_altcat_1) (= (tptp.k1_multop_1 A B C D) (tptp.f4_s4_altcat_1 B C D)))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_altcat_1 A) (tptp.l1_struct_0 A))) (exists ((A $$unsorted)) (tptp.l1_altcat_1 A)) (forall ((A $$unsorted)) (=> (tptp.l2_altcat_1 A) (tptp.l1_altcat_1 A))) (exists ((A $$unsorted)) (tptp.l2_altcat_1 A)) (forall ((A $$unsorted)) (=> (tptp.l1_altcat_1 A) (=> (tptp.v1_altcat_1 A) (= A (tptp.g1_altcat_1 (tptp.u1_struct_0 A) (tptp.u1_altcat_1 A)))))) (forall ((A $$unsorted)) (=> (tptp.l2_altcat_1 A) (=> (tptp.v6_altcat_1 A) (= A (tptp.g2_altcat_1 (tptp.u1_struct_0 A) (tptp.u1_altcat_1 A) (tptp.u2_altcat_1 A)))))) true (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B (tptp.k2_zfmisc_1 A A)) (tptp.m1_pboole (tptp.k2_altcat_1 A B) (tptp.k3_zfmisc_1 A A A)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.m1_pboole B _let_1) (tptp.m1_pboole C _let_1)) (tptp.m1_pboole (tptp.k3_altcat_1 A B C) (tptp.k3_zfmisc_1 A A A))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted)) (let ((_let_1 (tptp.k1_binop_1 B D F))) (let ((_let_2 (tptp.k2_zfmisc_1 (tptp.k1_binop_1 B E F) (tptp.k1_binop_1 B D E)))) (let ((_let_3 (tptp.k4_altcat_1 A B C D E F))) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.m1_pboole B (tptp.k2_zfmisc_1 A A)) (tptp.m3_pboole C (tptp.k3_zfmisc_1 A A A) (tptp.k3_altcat_1 A B B) (tptp.k2_altcat_1 A B)) (tptp.m1_subset_1 D A) (tptp.m1_subset_1 E A) (tptp.m1_subset_1 F A)) (and (tptp.v1_funct_1 _let_3) (tptp.v1_funct_2 _let_3 _let_2 _let_1) (tptp.m2_relset_1 _let_3 _let_2 _let_1))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.m1_pboole B (tptp.k2_zfmisc_1 A A)) (tptp.m3_pboole C (tptp.k3_zfmisc_1 A A A) (tptp.k3_altcat_1 A B B) (tptp.k2_altcat_1 A B)) (tptp.m1_subset_1 D A) (tptp.m1_subset_1 E A) (tptp.m1_subset_1 F A)) (= (tptp.k4_altcat_1 A B C D E F) (tptp.k1_multop_1 C D E F)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l2_altcat_1 A) (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1) (tptp.m1_subset_1 D _let_1) (tptp.m1_subset_1 E (tptp.k1_altcat_1 A B C)) (tptp.m1_subset_1 F (tptp.k1_altcat_1 A C D))) (tptp.m1_subset_1 (tptp.k5_altcat_1 A B C D E F) (tptp.k1_altcat_1 A B D))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k6_altcat_1 A B))) (=> (and (tptp.v1_fraenkel A) (tptp.v1_fraenkel B)) (and (tptp.v1_funcop_1 _let_1) (tptp.v7_altcat_1 _let_1) (tptp.m1_pboole _let_1 (tptp.k2_zfmisc_1 B A)))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k7_altcat_1 A))) (=> (not (tptp.v1_xboole_0 A)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v6_altcat_1 _let_1) (tptp.v10_altcat_1 _let_1) (tptp.l2_altcat_1 _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v12_altcat_1 A) (tptp.l2_altcat_1 A) (tptp.m1_subset_1 B (tptp.u1_struct_0 A))) (tptp.m1_subset_1 (tptp.k8_altcat_1 A B) (tptp.k1_altcat_1 A B B)))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k9_altcat_1 A))) (=> (not (tptp.v1_xboole_0 A)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v6_altcat_1 _let_1) (tptp.v13_altcat_1 _let_1) (tptp.l2_altcat_1 _let_1))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.l1_altcat_1 A) (tptp.m1_pboole (tptp.u1_altcat_1 A) (tptp.k2_zfmisc_1 _let_1 _let_1))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.u1_altcat_1 A))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (tptp.l2_altcat_1 A) (tptp.m3_pboole (tptp.u2_altcat_1 A) (tptp.k3_zfmisc_1 _let_2 _let_2 _let_2) (tptp.k3_altcat_1 _let_2 _let_1 _let_1) (tptp.k2_altcat_1 _let_2 _let_1)))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.g1_altcat_1 A B))) (=> (tptp.m1_pboole B (tptp.k2_zfmisc_1 A A)) (and (tptp.v1_altcat_1 _let_1) (tptp.l1_altcat_1 _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B (tptp.k2_zfmisc_1 A A)) (forall ((C $$unsorted) (D $$unsorted)) (=> (= (tptp.g1_altcat_1 A B) (tptp.g1_altcat_1 C D)) (and (= A C) (= B D)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.g2_altcat_1 A B C))) (=> (and (tptp.m1_pboole B (tptp.k2_zfmisc_1 A A)) (tptp.m3_pboole C (tptp.k3_zfmisc_1 A A A) (tptp.k3_altcat_1 A B B) (tptp.k2_altcat_1 A B))) (and (tptp.v6_altcat_1 _let_1) (tptp.l2_altcat_1 _let_1))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.m1_pboole B (tptp.k2_zfmisc_1 A A)) (tptp.m3_pboole C (tptp.k3_zfmisc_1 A A A) (tptp.k3_altcat_1 A B B) (tptp.k2_altcat_1 A B))) (forall ((D $$unsorted) (E $$unsorted) (F $$unsorted)) (=> (= (tptp.g2_altcat_1 A B C) (tptp.g2_altcat_1 D E F)) (and (= A D) (= B E) (= C F)))))) (forall ((A $$unsorted) (B $$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) (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) (tptp.l4_vectsp_1 B A)) (exists ((C $$unsorted)) (and (tptp.m1_vectsp_8 C A B) (not (tptp.v1_xboole_0 C)))))) (forall ((A $$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.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 $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v11_vectsp_1 B A) (tptp.v12_vectsp_1 B A) (tptp.l4_vectsp_1 B A)) (= (tptp.k1_vectsp_8 A B) (tptp.g3_lattices (tptp.k3_vectsp_5 A B) (tptp.k5_vectsp_5 A B) (tptp.k6_vectsp_5 A B))))))) (forall ((A $$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.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 $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v11_vectsp_1 B A) (tptp.v12_vectsp_1 B A) (tptp.l4_vectsp_1 B A)) (forall ((C $$unsorted)) (= (tptp.m1_vectsp_8 C A B) (forall ((D $$unsorted)) (=> (tptp.r2_hidden D C) (tptp.m1_vectsp_4 D A B))))))))) (forall ((A $$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.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 $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v11_vectsp_1 B A) (tptp.v12_vectsp_1 B A) (tptp.l4_vectsp_1 B A)) (forall ((C $$unsorted)) (=> (tptp.m2_vectsp_8 C A B (tptp.k2_vectsp_8 A B)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B))) (= (= D (tptp.k3_vectsp_8 A B C)) (exists ((E $$unsorted)) (and (tptp.m1_vectsp_4 E A B) (= C E) (= D (tptp.u1_struct_0 E))))))))))))) (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)) (=> (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.v11_vectsp_1 B A) (tptp.v12_vectsp_1 B A) (tptp.l4_vectsp_1 B A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B)))) (let ((_let_2 (tptp.k2_vectsp_8 A B))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.m2_relset_1 C _let_2 _let_1)) (= (= C (tptp.k4_vectsp_8 A B)) (forall ((D $$unsorted)) (=> (tptp.m2_vectsp_8 D A B (tptp.k2_vectsp_8 A B)) (forall ((E $$unsorted)) (=> (tptp.m1_vectsp_4 E A B) (=> (= D E) (= (tptp.k8_funct_2 (tptp.k2_vectsp_8 A B) (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B)) C D) (tptp.u1_struct_0 E)))))))))))))))) (forall ((A $$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 $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v11_vectsp_1 B A) (tptp.v12_vectsp_1 B A) (tptp.l4_vectsp_1 B A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k2_vectsp_8 A B))) (=> (and (not (tptp.v1_xboole_0 C)) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 _let_1))) (not (tptp.v1_xboole_0 (tptp.k2_funct_2 _let_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B)) (tptp.k4_vectsp_8 A B) C)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v7_group_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.v9_vectsp_1 A) (not (tptp.v10_vectsp_1 A)) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (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.v11_vectsp_1 B A) (tptp.v12_vectsp_1 B A) (tptp.l4_vectsp_1 B A)) (forall ((C $$unsorted)) (=> (and (tptp.v11_vectsp_1 C A) (tptp.m1_vectsp_4 C A B)) (tptp.r2_hidden (tptp.k1_rlvect_1 B) (tptp.k1_funct_1 (tptp.k4_vectsp_8 A B) C)))))))) (forall ((A $$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.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 $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v11_vectsp_1 B A) (tptp.v12_vectsp_1 B A) (tptp.l4_vectsp_1 B A)) (forall ((C $$unsorted)) (=> (and (not (tptp.v1_xboole_0 C)) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.k2_vectsp_8 A B)))) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (=> (and (tptp.v11_vectsp_1 D A) (tptp.m1_vectsp_4 D A B)) (= (= D (tptp.k5_vectsp_8 A B C)) (= (tptp.u1_struct_0 D) (tptp.k6_setfam_1 _let_1 (tptp.k2_funct_2 (tptp.k2_vectsp_8 A B) (tptp.k1_zfmisc_1 _let_1) (tptp.k4_vectsp_8 A B) C))))))))))))) (forall ((A $$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.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 $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v11_vectsp_1 B A) (tptp.v12_vectsp_1 B A) (tptp.l4_vectsp_1 B A)) (= (tptp.k2_vectsp_8 A B) (tptp.u1_struct_0 (tptp.k1_vectsp_8 A B))))))) (forall ((A $$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.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 $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v11_vectsp_1 B A) (tptp.v12_vectsp_1 B A) (tptp.l4_vectsp_1 B A)) (= (tptp.u1_lattices (tptp.k1_vectsp_8 A B)) (tptp.k6_vectsp_5 A B)))))) (forall ((A $$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.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 $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v11_vectsp_1 B A) (tptp.v12_vectsp_1 B A) (tptp.l4_vectsp_1 B A)) (= (tptp.u2_lattices (tptp.k1_vectsp_8 A B)) (tptp.k5_vectsp_5 A B)))))) (forall ((A $$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.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 $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v11_vectsp_1 B A) (tptp.v12_vectsp_1 B A) (tptp.l4_vectsp_1 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 (tptp.k1_vectsp_8 A B))) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 (tptp.k1_vectsp_8 A B))) (forall ((E $$unsorted)) (=> (and (tptp.v11_vectsp_1 E A) (tptp.m1_vectsp_4 E A B)) (forall ((F $$unsorted)) (=> (and (tptp.v11_vectsp_1 F A) (tptp.m1_vectsp_4 F A B)) (=> (and (= C E) (= D F)) (= (tptp.r3_lattices (tptp.k1_vectsp_8 A B) C D) (tptp.r1_tarski (tptp.u1_struct_0 E) (tptp.u1_struct_0 F)))))))))))))))) (forall ((A $$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 $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v11_vectsp_1 B A) (tptp.v12_vectsp_1 B A) (tptp.l4_vectsp_1 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 (tptp.k1_vectsp_8 A B))) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 (tptp.k1_vectsp_8 A B))) (forall ((E $$unsorted)) (=> (tptp.m1_vectsp_4 E A B) (forall ((F $$unsorted)) (=> (tptp.m1_vectsp_4 F A B) (=> (and (= C E) (= D F)) (= (tptp.k3_lattices (tptp.k1_vectsp_8 A B) C D) (tptp.k1_vectsp_5 A B E F))))))))))))))) (forall ((A $$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 $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v11_vectsp_1 B A) (tptp.v12_vectsp_1 B A) (tptp.l4_vectsp_1 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 (tptp.k1_vectsp_8 A B))) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 (tptp.k1_vectsp_8 A B))) (forall ((E $$unsorted)) (=> (tptp.m1_vectsp_4 E A B) (forall ((F $$unsorted)) (=> (tptp.m1_vectsp_4 F A B) (=> (and (= C E) (= D F)) (= (tptp.k4_lattices (tptp.k1_vectsp_8 A B) C D) (tptp.k2_vectsp_5 A B E F))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l3_lattices A)) (= (tptp.v4_lattice3 A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (exists ((C $$unsorted)) (and (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (tptp.r3_lattice3 A C B) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (=> (tptp.r3_lattice3 A D B) (tptp.r1_lattices A D C))))))))))) (forall ((A $$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.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 $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v11_vectsp_1 B A) (tptp.v12_vectsp_1 B A) (tptp.l4_vectsp_1 B A)) (tptp.v4_lattice3 (tptp.k1_vectsp_8 A B)))))) (forall ((A $$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.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 $$unsorted) (C $$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.v11_vectsp_1 C A) (tptp.v12_vectsp_1 C A) (tptp.l4_vectsp_1 C A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 C))) (=> (and (tptp.v1_vectsp_4 D A C) (tptp.r1_rlvect_1 (tptp.k1_vectsp_7 A C D) B)) (or (tptp.v1_xboole_0 D) (tptp.r2_hidden B D))))))))) (forall ((A $$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_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 $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v11_vectsp_1 B A) (tptp.v12_vectsp_1 B A) (tptp.l4_vectsp_1 B A)) (forall ((C $$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.v11_vectsp_1 C A) (tptp.v12_vectsp_1 C A) (tptp.l4_vectsp_1 C A)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 C))) (let ((_let_2 (tptp.u1_struct_0 B))) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D _let_2 _let_1) (tptp.m2_relset_1 D _let_2 _let_1)) (forall ((E $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 (tptp.k1_vectsp_8 A C)))) (let ((_let_2 (tptp.u1_struct_0 (tptp.k1_vectsp_8 A 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)) (= (= E (tptp.k6_vectsp_8 A B C D)) (forall ((F $$unsorted)) (=> (and (tptp.v11_vectsp_1 F A) (tptp.m1_vectsp_4 F A B)) (forall ((G $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 C))) (=> (tptp.m1_subset_1 G (tptp.k1_zfmisc_1 _let_1)) (=> (= G (tptp.k2_funct_2 (tptp.u1_struct_0 B) _let_1 D (tptp.u1_struct_0 F))) (= (tptp.k1_funct_1 E F) (tptp.k1_vectsp_7 A C G))))))))))))))))))))))) (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 $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.m2_relset_1 C _let_2 _let_1)) (= (tptp.m3_vectsp_8 C A B) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (forall ((E $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 E _let_2) (= (tptp.k8_funct_2 _let_2 _let_1 C (tptp.k4_lattices A D E)) (tptp.k4_lattices B (tptp.k8_funct_2 _let_2 _let_1 C D) (tptp.k8_funct_2 _let_2 _let_1 C E)))))))))))))))))) (forall ((A $$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)) (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.m4_vectsp_8 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.k3_lattices A D E)) (tptp.k3_lattices 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 $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.m2_relset_1 C _let_2 _let_1)) (= (tptp.m1_lattice4 C A B) (and (tptp.m4_vectsp_8 C A B) (tptp.m3_vectsp_8 C A B))))))))))) (forall ((A $$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.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 $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v11_vectsp_1 B A) (tptp.v12_vectsp_1 B A) (tptp.l4_vectsp_1 B A)) (forall ((C $$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.v11_vectsp_1 C A) (tptp.v12_vectsp_1 C A) (tptp.l4_vectsp_1 C A)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 C))) (let ((_let_2 (tptp.u1_struct_0 B))) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D _let_2 _let_1) (tptp.m2_relset_1 D _let_2 _let_1)) (=> (tptp.v1_mod_2 D A B C) (tptp.m4_vectsp_8 (tptp.k6_vectsp_8 A B C D) (tptp.k1_vectsp_8 A B) (tptp.k1_vectsp_8 A C))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.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 $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v11_vectsp_1 B A) (tptp.v12_vectsp_1 B A) (tptp.l4_vectsp_1 B A)) (forall ((C $$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.v11_vectsp_1 C A) (tptp.v12_vectsp_1 C A) (tptp.l4_vectsp_1 C A)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 C))) (let ((_let_2 (tptp.u1_struct_0 B))) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D _let_2 _let_1) (tptp.m2_relset_1 D _let_2 _let_1)) (=> (and (tptp.v2_funct_1 D) (tptp.v1_mod_2 D A B C)) (tptp.m1_lattice4 (tptp.k6_vectsp_8 A B C D) (tptp.k1_vectsp_8 A B) (tptp.k1_vectsp_8 A C))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.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 $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v11_vectsp_1 B A) (tptp.v12_vectsp_1 B A) (tptp.l4_vectsp_1 B A)) (forall ((C $$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.v11_vectsp_1 C A) (tptp.v12_vectsp_1 C A) (tptp.l4_vectsp_1 C A)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 C))) (let ((_let_2 (tptp.u1_struct_0 B))) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D _let_2 _let_1) (tptp.m2_relset_1 D _let_2 _let_1)) (=> (and (tptp.v1_mod_2 D A B C) (tptp.v2_funct_1 D)) (tptp.v2_funct_1 (tptp.k6_vectsp_8 A B C D))))))))))))) (forall ((A $$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.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 $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v11_vectsp_1 B A) (tptp.v12_vectsp_1 B A) (tptp.l4_vectsp_1 B A)) (= (tptp.k6_vectsp_8 A B B (tptp.k6_partfun1 (tptp.u1_struct_0 B))) (tptp.k6_partfun1 (tptp.u1_struct_0 (tptp.k1_vectsp_8 A B)))))))) true (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v7_group_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.v9_vectsp_1 A) (not (tptp.v10_vectsp_1 A)) (tptp.l3_vectsp_1 A) (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v11_vectsp_1 B A) (tptp.v12_vectsp_1 B A) (tptp.l4_vectsp_1 B A)) (exists ((C $$unsorted)) (tptp.m1_vectsp_8 C A B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v7_group_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.v9_vectsp_1 A) (not (tptp.v10_vectsp_1 A)) (tptp.l3_vectsp_1 A) (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v11_vectsp_1 B A) (tptp.v12_vectsp_1 B A) (tptp.l4_vectsp_1 B A) (not (tptp.v1_xboole_0 C)) (tptp.m1_vectsp_8 C A B)) (forall ((D $$unsorted)) (=> (tptp.m2_vectsp_8 D A B C) (tptp.m1_vectsp_4 D A B))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v7_group_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.v9_vectsp_1 A) (not (tptp.v10_vectsp_1 A)) (tptp.l3_vectsp_1 A) (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v11_vectsp_1 B A) (tptp.v12_vectsp_1 B A) (tptp.l4_vectsp_1 B A) (not (tptp.v1_xboole_0 C)) (tptp.m1_vectsp_8 C A B)) (exists ((D $$unsorted)) (tptp.m2_vectsp_8 D A B C)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v7_group_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.v9_vectsp_1 A) (not (tptp.v10_vectsp_1 A)) (tptp.l3_vectsp_1 A) (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v11_vectsp_1 B A) (tptp.v12_vectsp_1 B A) (tptp.l4_vectsp_1 B A) (not (tptp.v1_xboole_0 C)) (tptp.m1_vectsp_8 C A B)) (forall ((D $$unsorted)) (= (tptp.m2_vectsp_8 D A B C) (tptp.m1_subset_1 D C))))) (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 $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (tptp.m3_vectsp_8 C A B) (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.m2_relset_1 C _let_2 _let_1)))))))) (forall ((A $$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.m3_vectsp_8 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)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (tptp.m4_vectsp_8 C A B) (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.m2_relset_1 C _let_2 _let_1)))))))) (forall ((A $$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.m4_vectsp_8 C A B)))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k1_vectsp_8 A B))) (=> (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) (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) (tptp.l4_vectsp_1 B A)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v3_lattices _let_1) (tptp.v10_lattices _let_1) (tptp.v15_lattices _let_1) (tptp.l3_lattices _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k2_vectsp_8 A B))) (=> (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) (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) (tptp.l4_vectsp_1 B A)) (and (not (tptp.v1_xboole_0 _let_1)) (tptp.m1_vectsp_8 _let_1 A B))))) (forall ((A $$unsorted) (B $$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) (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) (tptp.l4_vectsp_1 B A)) (= (tptp.k2_vectsp_8 A B) (tptp.k3_vectsp_5 A B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v7_group_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.v9_vectsp_1 A) (not (tptp.v10_vectsp_1 A)) (tptp.l3_vectsp_1 A) (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v11_vectsp_1 B A) (tptp.v12_vectsp_1 B A) (tptp.l4_vectsp_1 B A) (tptp.m1_subset_1 C (tptp.k2_vectsp_8 A B))) (tptp.m1_subset_1 (tptp.k3_vectsp_8 A B C) (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B)))) (let ((_let_2 (tptp.k2_vectsp_8 A B))) (let ((_let_3 (tptp.k4_vectsp_8 A B))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v7_group_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.v9_vectsp_1 A) (not (tptp.v10_vectsp_1 A)) (tptp.l3_vectsp_1 A) (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v11_vectsp_1 B A) (tptp.v12_vectsp_1 B A) (tptp.l4_vectsp_1 B A)) (and (tptp.v1_funct_1 _let_3) (tptp.v1_funct_2 _let_3 _let_2 _let_1) (tptp.m2_relset_1 _let_3 _let_2 _let_1))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k5_vectsp_8 A B C))) (=> (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) (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) (tptp.l4_vectsp_1 B A) (not (tptp.v1_xboole_0 C)) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.k2_vectsp_8 A B)))) (and (tptp.v11_vectsp_1 _let_1 A) (tptp.m1_vectsp_4 _let_1 A B))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 (tptp.k1_vectsp_8 A C)))) (let ((_let_2 (tptp.u1_struct_0 (tptp.k1_vectsp_8 A B)))) (let ((_let_3 (tptp.k6_vectsp_8 A B C D))) (let ((_let_4 (tptp.u1_struct_0 C))) (let ((_let_5 (tptp.u1_struct_0 B))) (=> (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) (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) (tptp.l4_vectsp_1 B A) (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.v11_vectsp_1 C A) (tptp.v12_vectsp_1 C A) (tptp.l4_vectsp_1 C A) (tptp.v1_funct_1 D) (tptp.v1_funct_2 D _let_5 _let_4) (tptp.m1_relset_1 D _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 $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_group_2 B A) (forall ((C $$unsorted)) (=> (tptp.m1_group_2 C A) (= (tptp.u1_struct_0 (tptp.k9_group_2 A B C)) (tptp.k3_xboole_0 (tptp.u1_struct_0 B) (tptp.u1_struct_0 C))))))))) (forall ((A $$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 $$unsorted)) (= (tptp.r2_hidden B (tptp.k1_group_3 A)) (exists ((C $$unsorted)) (and (tptp.v1_group_1 C) (tptp.m1_group_2 C 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)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (=> (and (tptp.v1_group_1 C) (tptp.m1_group_2 C A)) (=> (= B (tptp.u1_struct_0 C)) (tptp.r1_group_2 A (tptp.k5_group_4 A B) C)))))))) (forall ((A $$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 $$unsorted)) (=> (tptp.m1_group_2 B A) (forall ((C $$unsorted)) (=> (tptp.m1_group_2 C A) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (= D (tptp.k2_xboole_0 (tptp.u1_struct_0 B) (tptp.u1_struct_0 C))) (tptp.r1_group_2 A (tptp.k8_group_4 A B C) (tptp.k5_group_4 A D))))))))))) (forall ((A $$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)) (=> (tptp.m1_group_2 C A) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (=> (or (tptp.r1_rlvect_1 B D) (tptp.r1_rlvect_1 C D)) (tptp.r1_rlvect_1 (tptp.k8_group_4 A B C) D)))))))))) (forall ((A $$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 $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_group_1 B) (tptp.v4_group_1 B) (tptp.l1_group_1 B)) (forall ((C $$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 $$unsorted)) (=> (tptp.m1_group_2 D A) (exists ((E $$unsorted)) (and (tptp.v1_group_1 E) (tptp.m1_group_2 E B) (= (tptp.u1_struct_0 E) (tptp.k2_funct_2 (tptp.u1_struct_0 A) (tptp.u1_struct_0 B) C (tptp.u1_struct_0 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 $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.v1_group_6 C A B) (tptp.m2_relset_1 C _let_2 _let_1)) (forall ((D $$unsorted)) (=> (tptp.m1_group_2 D B) (exists ((E $$unsorted)) (and (tptp.v1_group_1 E) (tptp.m1_group_2 E A) (= (tptp.u1_struct_0 E) (tptp.k3_funct_2 (tptp.u1_struct_0 A) (tptp.u1_struct_0 B) C (tptp.u1_struct_0 D))))))))))))))) true true (forall ((A $$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 $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_group_1 B) (tptp.v4_group_1 B) (tptp.l1_group_1 B)) (forall ((C $$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 $$unsorted)) (=> (tptp.m1_group_2 D A) (forall ((E $$unsorted)) (=> (tptp.m1_group_2 E A) (forall ((F $$unsorted)) (=> (tptp.m1_group_2 F B) (forall ((G $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (tptp.m1_group_2 G B) (=> (and (= (tptp.u1_struct_0 F) (tptp.k2_funct_2 _let_2 _let_1 C (tptp.u1_struct_0 D))) (= (tptp.u1_struct_0 G) (tptp.k2_funct_2 _let_2 _let_1 C (tptp.u1_struct_0 E))) (tptp.m1_group_6 D A E)) (tptp.m1_group_6 F B 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 (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)) (=> (tptp.m1_group_2 D B) (forall ((E $$unsorted)) (=> (tptp.m1_group_2 E B) (forall ((F $$unsorted)) (=> (tptp.m1_group_2 F A) (forall ((G $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (tptp.m1_group_2 G A) (=> (and (= (tptp.u1_struct_0 F) (tptp.k3_funct_2 _let_2 _let_1 C (tptp.u1_struct_0 D))) (= (tptp.u1_struct_0 G) (tptp.k3_funct_2 _let_2 _let_1 C (tptp.u1_struct_0 E))) (tptp.m1_group_6 D B E)) (tptp.m1_group_6 F A G)))))))))))))))))))) (forall ((A $$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 $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_group_1 B) (tptp.v4_group_1 B) (tptp.l1_group_1 B)) (forall ((C $$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.m2_relset_1 C _let_2 _let_1)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 _let_2)) (tptp.r1_tarski (tptp.k2_funct_2 _let_2 _let_1 C D) (tptp.k2_funct_2 _let_2 _let_1 C (tptp.u1_struct_0 (tptp.k5_group_4 A D)))))))))))))))) (forall ((A $$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_group_2 C A) (forall ((D $$unsorted)) (=> (tptp.m1_group_2 D A) (forall ((E $$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.m2_relset_1 E _let_2 _let_1)) (forall ((F $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 F (tptp.k1_zfmisc_1 _let_2)) (=> (= F (tptp.k2_xboole_0 (tptp.u1_struct_0 C) (tptp.u1_struct_0 D))) (= (tptp.k2_funct_2 _let_2 _let_1 E (tptp.u1_struct_0 (tptp.k8_group_4 A C D))) (tptp.k2_funct_2 _let_2 _let_1 E (tptp.u1_struct_0 (tptp.k5_group_4 A F))))))))))))))))))))) (forall ((A $$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 $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 _let_1)) (=> (= B (tptp.k18_group_2 _let_1 (tptp.k2_group_1 A))) (tptp.r1_group_2 A (tptp.k5_group_4 A B) (tptp.k5_group_2 A)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (let ((_let_2 (tptp.k1_group_3 A))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_2 _let_1) (tptp.m2_relset_1 B _let_2 _let_1)) (= (= B (tptp.k1_latsubgr A)) (forall ((C $$unsorted)) (=> (and (tptp.v1_group_1 C) (tptp.m1_group_2 C A)) (= (tptp.k1_funct_1 B C) (tptp.u1_struct_0 C))))))))))) true true true (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_group_1 B) (tptp.m1_group_2 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (tptp.r2_hidden C (tptp.k1_funct_1 (tptp.k1_latsubgr A) B)) (tptp.r1_rlvect_1 B C)))))))) (forall ((A $$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 $$unsorted)) (=> (and (tptp.v1_group_1 B) (tptp.m1_group_2 B A)) (tptp.r2_hidden (tptp.k2_group_1 A) (tptp.k1_funct_1 (tptp.k1_latsubgr A) B)))))) (forall ((A $$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 $$unsorted)) (=> (and (tptp.v1_group_1 B) (tptp.m1_group_2 B A)) (not (= (tptp.k1_funct_1 (tptp.k1_latsubgr A) B) tptp.k1_xboole_0)))))) (forall ((A $$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 $$unsorted)) (=> (and (tptp.v1_group_1 B) (tptp.m1_group_2 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k1_funct_1 (tptp.k1_latsubgr A) B))) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (=> (and (tptp.r2_hidden C _let_1) (tptp.r2_hidden D _let_1)) (tptp.r2_hidden (tptp.k1_group_1 A C D) _let_1))))))))))) (forall ((A $$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 $$unsorted)) (=> (and (tptp.v1_group_1 B) (tptp.m1_group_2 B A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k1_funct_1 (tptp.k1_latsubgr A) B))) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (=> (tptp.r2_hidden C _let_1) (tptp.r2_hidden (tptp.k3_group_1 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)) (=> (and (tptp.v1_group_1 B) (tptp.m1_group_2 B A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k1_latsubgr A))) (=> (and (tptp.v1_group_1 C) (tptp.m1_group_2 C A)) (= (tptp.u1_struct_0 (tptp.k9_group_2 A B C)) (tptp.k3_xboole_0 (tptp.k1_funct_1 _let_1 B) (tptp.k1_funct_1 _let_1 C)))))))))) (forall ((A $$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 $$unsorted)) (=> (and (tptp.v1_group_1 B) (tptp.m1_group_2 B A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k1_latsubgr A))) (=> (and (tptp.v1_group_1 C) (tptp.m1_group_2 C A)) (= (tptp.k1_funct_1 _let_1 (tptp.k9_group_2 A B C)) (tptp.k3_xboole_0 (tptp.k1_funct_1 _let_1 B) (tptp.k1_funct_1 _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)) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.k1_group_3 A)))) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_group_1 C) (tptp.m1_group_2 C A)) (= (= C (tptp.k2_latsubgr A B)) (= (tptp.u1_struct_0 C) (tptp.k6_setfam_1 _let_1 (tptp.k2_funct_2 (tptp.k1_group_3 A) (tptp.k1_zfmisc_1 _let_1) (tptp.k1_latsubgr A) B))))))))))) (forall ((A $$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 $$unsorted)) (let ((_let_1 (tptp.k5_group_2 A))) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.k1_group_3 A)))) (=> (tptp.r2_hidden _let_1 B) (tptp.r1_group_2 A (tptp.k2_latsubgr A B) _let_1))))))) (forall ((A $$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 $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_group_3 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k1_group_3 A))) (=> (and (not (tptp.v1_xboole_0 C)) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 _let_1))) (=> (= C (tptp.k18_group_2 _let_1 B)) (= (tptp.k2_latsubgr A 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)) (=> (tptp.m1_group_2 B A) (forall ((C $$unsorted)) (=> (tptp.m1_group_2 C A) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 (tptp.k11_group_4 A))) (forall ((E $$unsorted)) (let ((_let_1 (tptp.k11_group_4 A))) (=> (tptp.m1_subset_1 E (tptp.u1_struct_0 _let_1)) (=> (and (= D B) (= E C)) (= (tptp.k3_lattices _let_1 D E) (tptp.k8_group_4 A B C)))))))))))))) (forall ((A $$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 $$unsorted)) (=> (tptp.m1_group_2 B A) (forall ((C $$unsorted)) (=> (tptp.m1_group_2 C A) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 (tptp.k11_group_4 A))) (forall ((E $$unsorted)) (let ((_let_1 (tptp.k11_group_4 A))) (=> (tptp.m1_subset_1 E (tptp.u1_struct_0 _let_1)) (=> (and (= D B) (= E C)) (= (tptp.k4_lattices _let_1 D E) (tptp.k9_group_2 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)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 (tptp.k11_group_4 A))) (forall ((C $$unsorted)) (let ((_let_1 (tptp.m1_group_2 C A))) (=> _let_1 (=> (= B C) (and (tptp.v1_group_1 C) _let_1))))))))) (forall ((A $$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)) (=> (tptp.m1_group_2 C A) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 (tptp.k11_group_4 A))) (forall ((E $$unsorted)) (let ((_let_1 (tptp.k11_group_4 A))) (=> (tptp.m1_subset_1 E (tptp.u1_struct_0 _let_1)) (=> (and (= D B) (= E C)) (= (tptp.r3_lattices _let_1 D E) (tptp.r1_tarski (tptp.u1_struct_0 B) (tptp.u1_struct_0 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 $$unsorted)) (=> (tptp.m1_group_2 C A) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 (tptp.k11_group_4 A))) (forall ((E $$unsorted)) (let ((_let_1 (tptp.k11_group_4 A))) (=> (tptp.m1_subset_1 E (tptp.u1_struct_0 _let_1)) (=> (and (= D B) (= E C)) (= (tptp.r3_lattices _let_1 D E) (tptp.m1_group_6 B A C)))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (tptp.v4_lattice3 (tptp.k11_group_4 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 $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.m2_relset_1 C _let_2 _let_1)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 (tptp.k11_group_4 B)))) (let ((_let_2 (tptp.u1_struct_0 (tptp.k11_group_4 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.k3_latsubgr A B C)) (forall ((E $$unsorted)) (=> (and (tptp.v1_group_1 E) (tptp.m1_group_2 E A)) (forall ((F $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (=> (tptp.m1_subset_1 F (tptp.k1_zfmisc_1 _let_1)) (=> (= F (tptp.k2_funct_2 (tptp.u1_struct_0 A) _let_1 C (tptp.u1_struct_0 E))) (= (tptp.k1_funct_1 D E) (tptp.k5_group_4 B F))))))))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (= (tptp.k3_latsubgr A A (tptp.k6_partfun1 (tptp.u1_struct_0 A))) (tptp.k6_partfun1 (tptp.u1_struct_0 (tptp.k11_group_4 A)))))) (forall ((A $$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)) (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_funct_1 C) (tptp.v2_funct_1 (tptp.k3_latsubgr 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 $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.v1_group_6 C A B) (tptp.m2_relset_1 C _let_2 _let_1)) (= (tptp.k1_funct_1 (tptp.k3_latsubgr A B C) (tptp.k5_group_2 A)) (tptp.k5_group_2 B)))))))))) (forall ((A $$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 $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_group_1 B) (tptp.v4_group_1 B) (tptp.l1_group_1 B)) (forall ((C $$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_funct_1 C) (tptp.m3_vectsp_8 (tptp.k3_latsubgr A B C) (tptp.k11_group_4 A) (tptp.k11_group_4 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 $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.v1_group_6 C A B) (tptp.m2_relset_1 C _let_2 _let_1)) (tptp.m4_vectsp_8 (tptp.k3_latsubgr A B C) (tptp.k11_group_4 A) (tptp.k11_group_4 B)))))))))) (forall ((A $$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_funct_1 C) (tptp.m1_lattice4 (tptp.k3_latsubgr A B C) (tptp.k11_group_4 A) (tptp.k11_group_4 B))))))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (let ((_let_2 (tptp.k1_group_3 A))) (let ((_let_3 (tptp.k1_latsubgr A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (and (tptp.v1_funct_1 _let_3) (tptp.v1_funct_2 _let_3 _let_2 _let_1) (tptp.m2_relset_1 _let_3 _let_2 _let_1))))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k2_latsubgr A B))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A) (not (tptp.v1_xboole_0 B)) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.k1_group_3 A)))) (and (tptp.v1_group_1 _let_1) (tptp.m1_group_2 _let_1 A))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 (tptp.k11_group_4 B)))) (let ((_let_2 (tptp.u1_struct_0 (tptp.k11_group_4 A)))) (let ((_let_3 (tptp.k3_latsubgr A B C))) (let ((_let_4 (tptp.u1_struct_0 B))) (let ((_let_5 (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_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 $$unsorted)) (let ((_let_1 (tptp.k3_urysohn1 A))) (=> (tptp.m1_subset_1 A tptp.k5_numbers) (and (not (tptp.v1_xboole_0 _let_1)) (tptp.v1_membered _let_1) (tptp.v2_membered _let_1))))) (and (not (tptp.v1_xboole_0 tptp.k4_urysohn1)) (tptp.v1_membered tptp.k4_urysohn1) (tptp.v2_membered tptp.k4_urysohn1)) (and (not (tptp.v1_xboole_0 tptp.k5_urysohn1)) (tptp.v1_membered tptp.k5_urysohn1) (tptp.v2_membered tptp.k5_urysohn1)) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A (tptp.k1_zfmisc_1 tptp.k1_numbers)) (= (= A tptp.k1_urysohn1) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.k1_numbers) (= (tptp.r2_hidden B A) (not (tptp.r1_xreal_0 tptp.np__0 B)))))))) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A (tptp.k1_zfmisc_1 tptp.k1_numbers)) (= (= A tptp.k2_urysohn1) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.k1_numbers) (= (tptp.r2_hidden B A) (not (tptp.r1_xreal_0 B tptp.np__1)))))))) (forall ((A $$unsorted)) (=> (tptp.m2_subset_1 A tptp.k1_numbers tptp.k5_numbers) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 tptp.k1_numbers)) (= (= B (tptp.k3_urysohn1 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C tptp.k1_numbers) (= (tptp.r2_hidden C B) (exists ((D $$unsorted)) (let ((_let_1 (tptp.k1_card_4 tptp.np__2 A))) (and (tptp.m2_subset_1 D tptp.k1_numbers tptp.k5_numbers) (tptp.r1_xreal_0 tptp.np__0 D) (tptp.r1_xreal_0 D _let_1) (= C (tptp.k6_real_1 D _let_1))))))))))))) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A (tptp.k1_zfmisc_1 tptp.k1_numbers)) (= (= A tptp.k4_urysohn1) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.k1_numbers) (= (tptp.r2_hidden B A) (exists ((C $$unsorted)) (and (tptp.m2_subset_1 C tptp.k1_numbers tptp.k5_numbers) (tptp.r2_hidden B (tptp.k3_urysohn1 C)))))))))) (= tptp.k5_urysohn1 (tptp.k4_subset_1 tptp.k1_numbers (tptp.k4_subset_1 tptp.k1_numbers tptp.k1_urysohn1 tptp.k4_urysohn1) tptp.k2_urysohn1)) true true true true (forall ((A $$unsorted)) (=> (tptp.m2_subset_1 A tptp.k1_numbers tptp.k5_numbers) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.k1_numbers) (=> (tptp.r2_hidden B (tptp.k3_urysohn1 A)) (and (tptp.r1_xreal_0 tptp.np__0 B) (tptp.r1_xreal_0 B tptp.np__1))))))) (= (tptp.k3_urysohn1 tptp.np__0) (tptp.k7_domain_1 tptp.k1_numbers tptp.np__0 tptp.np__1)) (= (tptp.k3_urysohn1 tptp.np__1) (tptp.k8_domain_1 tptp.k1_numbers tptp.np__0 (tptp.k6_real_1 tptp.np__1 tptp.np__2) tptp.np__1)) true (forall ((A $$unsorted)) (=> (tptp.m2_subset_1 A tptp.k1_numbers tptp.k5_numbers) (exists ((B $$unsorted)) (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (tptp.v1_finseq_1 B) (= (tptp.k4_finseq_1 B) (tptp.k2_finseq_1 (tptp.k1_nat_1 (tptp.k1_card_4 tptp.np__2 A) tptp.np__1))) (forall ((C $$unsorted)) (=> (tptp.m2_subset_1 C tptp.k1_numbers tptp.k5_numbers) (=> (tptp.r2_hidden C (tptp.k4_finseq_1 B)) (= (tptp.k1_funct_1 B C) (tptp.k6_real_1 (tptp.k5_real_1 C tptp.np__1) (tptp.k1_card_4 tptp.np__2 A)))))))))) (forall ((A $$unsorted)) (=> (tptp.m2_subset_1 A tptp.k1_numbers tptp.k5_numbers) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (tptp.v1_finseq_1 B)) (= (= B (tptp.k7_urysohn1 A)) (and (= (tptp.k4_finseq_1 B) (tptp.k2_finseq_1 (tptp.k1_nat_1 (tptp.k1_card_4 tptp.np__2 A) tptp.np__1))) (forall ((C $$unsorted)) (=> (tptp.m2_subset_1 C tptp.k1_numbers tptp.k5_numbers) (=> (tptp.r2_hidden C (tptp.k4_finseq_1 B)) (= (tptp.k1_funct_1 B C) (tptp.k6_real_1 (tptp.k5_real_1 C tptp.np__1) (tptp.k1_card_4 tptp.np__2 A)))))))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k7_urysohn1 A))) (=> (tptp.m2_subset_1 A tptp.k1_numbers tptp.k5_numbers) (and (= (tptp.k4_finseq_1 _let_1) (tptp.k2_finseq_1 (tptp.k1_nat_1 (tptp.k1_card_4 tptp.np__2 A) tptp.np__1))) (= (tptp.k2_relat_1 _let_1) (tptp.k3_urysohn1 A)))))) (forall ((A $$unsorted)) (=> (tptp.m2_subset_1 A tptp.k1_numbers tptp.k5_numbers) (tptp.r1_tarski (tptp.k3_urysohn1 A) (tptp.k3_urysohn1 (tptp.k1_nat_1 A tptp.np__1))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k3_urysohn1 A))) (=> (tptp.m2_subset_1 A tptp.k1_numbers tptp.k5_numbers) (and (tptp.r2_hidden tptp.np__0 _let_1) (tptp.r2_hidden tptp.np__1 _let_1))))) (forall ((A $$unsorted)) (=> (tptp.m2_subset_1 A tptp.k1_numbers tptp.k5_numbers) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k1_nat_1 A tptp.np__1))) (=> (tptp.m2_subset_1 B tptp.k1_numbers tptp.k5_numbers) (=> (tptp.r1_xreal_0 B (tptp.k1_card_4 tptp.np__2 A)) (or (tptp.r1_xreal_0 B tptp.np__0) (tptp.r2_hidden (tptp.k6_real_1 (tptp.k5_real_1 (tptp.k2_nat_1 B tptp.np__2) tptp.np__1) (tptp.k1_card_4 tptp.np__2 _let_1)) (tptp.k6_subset_1 tptp.k1_numbers (tptp.k3_urysohn1 _let_1) (tptp.k3_urysohn1 A)))))))))) (forall ((A $$unsorted)) (=> (tptp.m2_subset_1 A tptp.k1_numbers tptp.k5_numbers) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k1_nat_1 A tptp.np__1))) (=> (tptp.m2_subset_1 B tptp.k1_numbers tptp.k5_numbers) (=> (tptp.r1_xreal_0 tptp.np__0 B) (or (tptp.r1_xreal_0 (tptp.k1_card_4 tptp.np__2 A) B) (tptp.r2_hidden (tptp.k6_real_1 (tptp.k1_nat_1 (tptp.k2_nat_1 B tptp.np__2) tptp.np__1) (tptp.k1_card_4 tptp.np__2 _let_1)) (tptp.k6_subset_1 tptp.k1_numbers (tptp.k3_urysohn1 _let_1) (tptp.k3_urysohn1 A)))))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k1_nat_1 A tptp.np__1))) (=> (tptp.m2_subset_1 A tptp.k1_numbers tptp.k5_numbers) (tptp.r2_hidden (tptp.k6_real_1 tptp.np__1 (tptp.k1_card_4 tptp.np__2 _let_1)) (tptp.k6_subset_1 tptp.k1_numbers (tptp.k3_urysohn1 _let_1) (tptp.k3_urysohn1 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_numbers (tptp.k3_urysohn1 A)) (forall ((C $$unsorted)) (=> (tptp.m2_subset_1 C tptp.k1_numbers tptp.k5_numbers) (= (= C (tptp.k8_urysohn1 A B)) (= B (tptp.k6_real_1 C (tptp.k1_card_4 tptp.np__2 A)))))))))) (forall ((A $$unsorted)) (=> (tptp.m2_subset_1 A tptp.k1_numbers tptp.k5_numbers) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k1_card_4 tptp.np__2 A))) (let ((_let_2 (tptp.k8_urysohn1 A B))) (=> (tptp.m2_subset_1 B tptp.k1_numbers (tptp.k3_urysohn1 A)) (and (= B (tptp.k6_real_1 _let_2 _let_1)) (tptp.r1_xreal_0 tptp.np__0 _let_2) (tptp.r1_xreal_0 _let_2 _let_1)))))))) (forall ((A $$unsorted)) (=> (tptp.m2_subset_1 A tptp.k1_numbers tptp.k5_numbers) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k1_card_4 tptp.np__2 A))) (let ((_let_2 (tptp.k8_urysohn1 A B))) (=> (tptp.m2_subset_1 B tptp.k1_numbers (tptp.k3_urysohn1 A)) (and (not (tptp.r1_xreal_0 B (tptp.k6_real_1 (tptp.k5_real_1 _let_2 tptp.np__1) _let_1))) (not (tptp.r1_xreal_0 (tptp.k6_real_1 (tptp.k1_nat_1 _let_2 tptp.np__1) _let_1) B))))))))) (forall ((A $$unsorted)) (=> (tptp.m2_subset_1 A tptp.k1_numbers tptp.k5_numbers) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k1_card_4 tptp.np__2 A))) (let ((_let_2 (tptp.k8_urysohn1 A B))) (=> (tptp.m2_subset_1 B tptp.k1_numbers (tptp.k3_urysohn1 A)) (not (tptp.r1_xreal_0 (tptp.k6_real_1 (tptp.k1_nat_1 _let_2 tptp.np__1) _let_1) (tptp.k6_real_1 (tptp.k5_real_1 _let_2 tptp.np__1) _let_1))))))))) true (forall ((A $$unsorted)) (=> (tptp.m2_subset_1 A tptp.k1_numbers tptp.k5_numbers) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k3_urysohn1 A))) (let ((_let_2 (tptp.k1_nat_1 A tptp.np__1))) (let ((_let_3 (tptp.k1_card_4 tptp.np__2 _let_2))) (let ((_let_4 (tptp.k8_urysohn1 _let_2 B))) (=> (tptp.m2_subset_1 B tptp.k1_numbers (tptp.k3_urysohn1 _let_2)) (=> (not (tptp.r2_hidden B _let_1)) (and (tptp.r2_hidden (tptp.k6_real_1 (tptp.k5_real_1 _let_4 tptp.np__1) _let_3) _let_1) (tptp.r2_hidden (tptp.k6_real_1 (tptp.k1_nat_1 _let_4 tptp.np__1) _let_3) _let_1))))))))))) (forall ((A $$unsorted)) (=> (tptp.m2_subset_1 A tptp.k1_numbers tptp.k5_numbers) (forall ((B $$unsorted)) (=> (tptp.m2_subset_1 B tptp.k1_numbers (tptp.k3_urysohn1 A)) (forall ((C $$unsorted)) (=> (tptp.m2_subset_1 C tptp.k1_numbers (tptp.k3_urysohn1 A)) (not (and (not (tptp.r1_xreal_0 C B)) (tptp.r1_xreal_0 (tptp.k8_urysohn1 A C) (tptp.k8_urysohn1 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.k3_urysohn1 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k1_card_4 tptp.np__2 A))) (=> (tptp.m2_subset_1 C tptp.k1_numbers (tptp.k3_urysohn1 A)) (=> (not (tptp.r1_xreal_0 C B)) (and (tptp.r1_xreal_0 B (tptp.k6_real_1 (tptp.k5_real_1 (tptp.k8_urysohn1 A C) tptp.np__1) _let_1)) (tptp.r1_xreal_0 (tptp.k6_real_1 (tptp.k1_nat_1 (tptp.k8_urysohn1 A B) tptp.np__1) _let_1) C)))))))))) (forall ((A $$unsorted)) (=> (tptp.m2_subset_1 A tptp.k1_numbers tptp.k5_numbers) (forall ((B $$unsorted)) (=> (tptp.m2_subset_1 B tptp.k1_numbers (tptp.k3_urysohn1 (tptp.k1_nat_1 A tptp.np__1))) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k1_nat_1 A tptp.np__1))) (let ((_let_2 (tptp.k1_card_4 tptp.np__2 _let_1))) (let ((_let_3 (tptp.k3_urysohn1 A))) (=> (tptp.m2_subset_1 C tptp.k1_numbers (tptp.k3_urysohn1 _let_1)) (not (and (not (tptp.r1_xreal_0 C B)) (not (tptp.r2_hidden B _let_3)) (not (tptp.r2_hidden C _let_3)) (not (tptp.r1_xreal_0 (tptp.k6_real_1 (tptp.k1_nat_1 (tptp.k8_urysohn1 _let_1 B) tptp.np__1) _let_2) (tptp.k6_real_1 (tptp.k5_real_1 (tptp.k8_urysohn1 _let_1 C) tptp.np__1) _let_2)))))))))))))) (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)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (tptp.m1_connsp_2 C A B) (exists ((D $$unsorted)) (and (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (tptp.v3_pre_topc D A) (tptp.r2_hidden B D) (tptp.r1_tarski 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)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (tptp.v3_pre_topc B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (not (and (tptp.r2_hidden C B) (forall ((D $$unsorted)) (=> (tptp.m1_connsp_2 D A C) (not (tptp.r1_tarski D 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 $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (=> (tptp.r2_hidden C B) (tptp.m1_connsp_2 B A C)))) (tptp.v3_pre_topc B A)))))) (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (= (tptp.v1_urysohn1 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 $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (not (and (tptp.v3_pre_topc D A) (tptp.v3_pre_topc E A) (tptp.r2_hidden B D) (not (tptp.r2_hidden C D)) (tptp.r2_hidden C E) (not (tptp.r2_hidden B E))))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (= (tptp.v1_urysohn1 A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (tptp.v4_pre_topc (tptp.k1_struct_0 A B) A)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (=> (tptp.v5_compts_1 A) (forall ((B $$unsorted)) (=> (and (tptp.v3_pre_topc B A) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (forall ((C $$unsorted)) (=> (and (tptp.v3_pre_topc C A) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (not (and (not (= B tptp.k1_xboole_0)) (tptp.r1_tarski (tptp.k6_pre_topc A B) C) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (not (and (not (= D tptp.k1_xboole_0)) (tptp.v3_pre_topc D A) (tptp.r1_tarski (tptp.k6_pre_topc A B) D) (tptp.r1_tarski (tptp.k6_pre_topc A D) C)))))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (= (tptp.v4_compts_1 A) (forall ((B $$unsorted)) (=> (and (tptp.v3_pre_topc B A) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (not (and (tptp.r2_hidden C B) (forall ((D $$unsorted)) (=> (and (tptp.v3_pre_topc D A) (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (not (and (tptp.r2_hidden C D) (tptp.r1_tarski (tptp.k6_pre_topc A D) B)))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (=> (and (tptp.v5_compts_1 A) (tptp.v1_urysohn1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v3_pre_topc B A) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (not (and (not (= B tptp.k1_xboole_0)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (not (and (not (= C tptp.k1_xboole_0)) (tptp.r1_tarski (tptp.k6_pre_topc A C) B)))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (=> (tptp.v5_compts_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))) (not (and (tptp.v3_pre_topc B A) (tptp.v4_pre_topc C A) (not (= C tptp.k1_xboole_0)) (tptp.r1_tarski C B) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (not (and (tptp.v3_pre_topc D A) (tptp.r1_tarski C D) (tptp.r1_tarski (tptp.k6_pre_topc A D) B)))))))))))))) (forall ((A $$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))) (=> (and (tptp.v5_compts_1 A) (tptp.v3_pre_topc B A) (tptp.v3_pre_topc C A) (tptp.r1_tarski (tptp.k6_pre_topc A B) C)) (or (= B tptp.k1_xboole_0) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (tptp.m1_urysohn1 D A B C) (and (not (= D tptp.k1_xboole_0)) (tptp.v3_pre_topc D A) (tptp.r1_tarski (tptp.k6_pre_topc A B) D) (tptp.r1_tarski (tptp.k6_pre_topc A D) C))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (=> (tptp.v5_compts_1 A) (forall ((B $$unsorted)) (=> (and (tptp.v4_pre_topc B A) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (forall ((C $$unsorted)) (=> (and (tptp.v4_pre_topc C A) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (=> (tptp.r1_xboole_0 B C) (or (= B tptp.k1_xboole_0) (forall ((D $$unsorted)) (=> (tptp.m2_subset_1 D tptp.k1_numbers tptp.k5_numbers) (forall ((E $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (let ((_let_2 (tptp.k3_urysohn1 D))) (=> (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 (tptp.r1_tarski B (tptp.k1_funct_1 E tptp.np__0)) (= C (tptp.k4_xboole_0 (tptp.k2_pre_topc A) (tptp.k1_funct_1 E tptp.np__1))) (forall ((F $$unsorted)) (=> (tptp.m2_subset_1 F tptp.k1_numbers (tptp.k3_urysohn1 D)) (forall ((G $$unsorted)) (let ((_let_1 (tptp.k3_urysohn1 D))) (let ((_let_2 (tptp.k6_urysohn1 A _let_1 E G))) (let ((_let_3 (tptp.k6_urysohn1 A _let_1 E F))) (=> (tptp.m2_subset_1 G tptp.k1_numbers _let_1) (=> (not (tptp.r1_xreal_0 G F)) (and (tptp.v3_pre_topc _let_3 A) (tptp.v3_pre_topc _let_2 A) (tptp.r1_tarski (tptp.k6_pre_topc A _let_3) _let_2)))))))))) (forall ((F $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (let ((_let_2 (tptp.k3_urysohn1 (tptp.k1_nat_1 D tptp.np__1)))) (=> (and (tptp.v1_funct_1 F) (tptp.v1_funct_2 F _let_2 _let_1) (tptp.m2_relset_1 F _let_2 _let_1)) (not (and (tptp.r1_tarski B (tptp.k1_funct_1 F tptp.np__0)) (= C (tptp.k4_xboole_0 (tptp.k2_pre_topc A) (tptp.k1_funct_1 F tptp.np__1))) (forall ((G $$unsorted)) (=> (tptp.m2_subset_1 G tptp.k1_numbers (tptp.k3_urysohn1 (tptp.k1_nat_1 D tptp.np__1))) (forall ((H $$unsorted)) (=> (tptp.m2_subset_1 H tptp.k1_numbers (tptp.k3_urysohn1 (tptp.k1_nat_1 D tptp.np__1))) (forall ((I $$unsorted)) (let ((_let_1 (tptp.k3_urysohn1 (tptp.k1_nat_1 D tptp.np__1)))) (let ((_let_2 (tptp.k6_urysohn1 A _let_1 F H))) (let ((_let_3 (tptp.k6_urysohn1 A _let_1 F G))) (=> (tptp.m2_subset_1 I tptp.k1_numbers _let_1) (=> (not (tptp.r1_xreal_0 H G)) (and (tptp.v3_pre_topc _let_3 A) (tptp.v3_pre_topc _let_2 A) (tptp.r1_tarski (tptp.k6_pre_topc A _let_3) _let_2) (=> (tptp.r2_hidden I (tptp.k3_urysohn1 D)) (= (tptp.k6_urysohn1 A _let_1 F I) (tptp.k1_funct_1 E I))))))))))))))))))))))))))))))))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A) (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (forall ((D $$unsorted)) (=> (tptp.m1_urysohn1 D A B C) (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A) (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (exists ((D $$unsorted)) (tptp.m1_urysohn1 D A B C))))) (tptp.m1_subset_1 tptp.k1_urysohn1 _let_14) (tptp.m1_subset_1 tptp.k2_urysohn1 _let_14) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.k5_numbers) (tptp.m1_subset_1 (tptp.k3_urysohn1 A) (tptp.k1_zfmisc_1 tptp.k1_numbers)))) (tptp.m1_subset_1 tptp.k4_urysohn1 _let_14) (tptp.m1_subset_1 tptp.k5_urysohn1 _let_14) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (=> (and (tptp.v2_pre_topc A) (tptp.l1_pre_topc A) (not (tptp.v1_xboole_0 B)) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 tptp.k1_numbers)) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C B _let_1) (tptp.m1_relset_1 C B _let_1) (tptp.m1_subset_1 D B)) (tptp.m1_subset_1 (tptp.k6_urysohn1 A B C D) _let_1)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (=> (and (tptp.v2_pre_topc A) (tptp.l1_pre_topc A) (not (tptp.v1_xboole_0 B)) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 tptp.k1_numbers)) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C B _let_1) (tptp.m1_relset_1 C B _let_1) (tptp.m1_subset_1 D B)) (= (tptp.k6_urysohn1 A B C D) (tptp.k1_funct_1 C D))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k7_urysohn1 A))) (=> (tptp.m1_subset_1 A tptp.k5_numbers) (and (tptp.v1_relat_1 _let_1) (tptp.v1_funct_1 _let_1) (tptp.v1_finseq_1 _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.m1_subset_1 A tptp.k5_numbers) (tptp.m1_subset_1 B (tptp.k3_urysohn1 A))) (tptp.m2_subset_1 (tptp.k8_urysohn1 A B) tptp.k1_numbers tptp.k5_numbers))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.u1_struct_0 tptp.k3_topmetr))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A) (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_1 _let_2) (tptp.m1_relset_1 B _let_1 _let_2) (tptp.m1_subset_1 C _let_1)) (tptp.m1_subset_1 (tptp.k9_urysohn1 A B C) tptp.k1_numbers))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.u1_struct_0 tptp.k3_topmetr))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A) (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_1 _let_2) (tptp.m1_relset_1 B _let_1 _let_2) (tptp.m1_subset_1 C _let_1)) (= (tptp.k9_urysohn1 A B C) (tptp.k1_funct_1 B C)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (not (tptp.v1_xboole_0 B))) (exists ((C $$unsorted)) (and (tptp.m1_relset_1 C A B) (not (tptp.v1_xboole_0 C)) (tptp.v1_relat_1 C) (tptp.v1_funct_1 C))))) (forall ((A $$unsorted)) (=> (tptp.v1_setfam_1 A) (forall ((B $$unsorted)) (=> (tptp.m1_finseq_1 B A) (tptp.v2_relat_1 B))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (exists ((B $$unsorted)) (and (tptp.m1_finseq_1 B (tptp.k4_partfun1 (tptp.k13_finseq_1 A) A)) (not (tptp.v1_xboole_0 B)) (tptp.v1_relat_1 B) (tptp.v2_relat_1 B) (tptp.v1_funct_1 B) (tptp.v1_finset_1 B) (tptp.v1_finseq_1 B) (tptp.v4_unialg_1 B A) (tptp.v5_unialg_1 B A))))) (forall ((A $$unsorted)) (=> (tptp.l1_unialg_1 A) (=> (tptp.v8_unialg_1 A) (not (tptp.v3_struct_0 A))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m2_pua2mss1 B A) (and (tptp.v2_relat_1 B) (tptp.v2_funct_1 B)))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (tptp.m2_pua2mss1 B A) (and (not (tptp.v1_xboole_0 B)) (tptp.v2_relat_1 B) (tptp.v2_funct_1 B)))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.k7_pua2mss1 A))) (=> (and (tptp.v6_unialg_1 A) (tptp.v8_unialg_1 A) (tptp.l1_unialg_1 A)) (and (tptp.v1_relat_1 _let_2) (tptp.v1_relat_2 _let_2) (tptp.v3_relat_2 _let_2) (tptp.v8_relat_2 _let_2) (tptp.v1_partfun1 _let_2 _let_1 _let_1)))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.k10_pua2mss1 A))) (=> (and (tptp.v6_unialg_1 A) (tptp.v8_unialg_1 A) (tptp.l1_unialg_1 A)) (and (tptp.v1_relat_1 _let_2) (tptp.v1_relat_2 _let_2) (tptp.v3_relat_2 _let_2) (tptp.v8_relat_2 _let_2) (tptp.v1_partfun1 _let_2 _let_1 _let_1)))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k12_pua2mss1 A B))) (=> (and (tptp.v6_unialg_1 A) (tptp.v8_unialg_1 A) (tptp.l1_unialg_1 A) (tptp.m3_pua2mss1 B A)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v1_msualg_1 _let_1) (not (tptp.v2_msualg_1 _let_1)))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v2_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v2_relat_1 B) (tptp.v1_funct_1 B)) (=> (tptp.r1_tarski (tptp.k4_card_3 A) (tptp.k4_card_3 B)) (and (= (tptp.k1_relat_1 A) (tptp.k1_relat_1 B)) (forall ((C $$unsorted)) (=> (tptp.r2_hidden C (tptp.k1_relat_1 A)) (tptp.r1_tarski (tptp.k1_funct_1 A C) (tptp.k1_funct_1 B C)))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v2_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v2_relat_1 B) (tptp.v1_funct_1 B)) (=> (= (tptp.k4_card_3 A) (tptp.k4_card_3 B)) (= A B)))))) (forall ((A $$unsorted)) (=> (and (tptp.v8_unialg_1 A) (tptp.l1_unialg_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_unialg_1 A))) (=> (tptp.m1_subset_1 B (tptp.k4_finseq_1 _let_1)) (= (tptp.k2_pua2mss1 A B) (tptp.k1_funct_1 _let_1 B))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_eqrel_1 B A) (forall ((C $$unsorted) (D $$unsorted) (E $$unsorted)) (=> (and (tptp.r2_hidden C D) (tptp.r2_hidden D B) (tptp.r2_hidden C E) (tptp.r2_hidden E B)) (= D E))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.r1_setfam_1 A B) (forall ((C $$unsorted)) (=> (tptp.m2_finseq_1 C A) (exists ((D $$unsorted)) (and (tptp.m2_finseq_1 D B) (tptp.r1_tarski (tptp.k4_card_3 C) (tptp.k4_card_3 D)))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_eqrel_1 B A) (forall ((C $$unsorted)) (=> (tptp.m1_eqrel_1 C A) (forall ((D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D B C) (tptp.m2_relset_1 D B C)) (=> (forall ((E $$unsorted)) (=> (tptp.r2_hidden E B) (tptp.r1_tarski E (tptp.k1_funct_1 D E)))) (forall ((E $$unsorted)) (=> (tptp.m2_finseq_1 E B) (forall ((F $$unsorted)) (=> (tptp.m2_finseq_1 F C) (= (tptp.r1_tarski (tptp.k4_card_3 E) (tptp.k4_card_3 F)) (= (tptp.k1_partfun1 tptp.k5_numbers B B C E D) F))))))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (not (and (tptp.r1_tarski (tptp.k2_relat_1 B) (tptp.k3_tarski A)) (forall ((C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (not (and (= (tptp.k1_relat_1 C) (tptp.k1_relat_1 B)) (tptp.r1_tarski (tptp.k2_relat_1 C) A) (tptp.r2_hidden B (tptp.k4_card_3 C)))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_eqrel_1 B A) (forall ((C $$unsorted)) (=> (tptp.m2_finseq_1 C A) (exists ((D $$unsorted)) (and (tptp.m2_finseq_1 D B) (tptp.r2_hidden C (tptp.k4_card_3 D)))))))) (forall ((A $$unsorted)) (= (tptp.k3_pua2mss1 A) (tptp.k8_eqrel_1 A (tptp.k6_partfun1 A)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m2_finseq_1 B (tptp.k3_pua2mss1 A)) (exists ((C $$unsorted)) (and (tptp.m2_finseq_1 C A) (= (tptp.k4_card_3 B) (tptp.k1_tarski C)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (= (tptp.m2_pua2mss1 B A) (and (tptp.m1_eqrel_1 (tptp.k2_relat_1 B) A) (tptp.v2_funct_1 B))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m2_pua2mss1 B A) (forall ((C $$unsorted)) (=> (tptp.r2_hidden C A) (forall ((D $$unsorted)) (= (= D (tptp.k6_pua2mss1 A B C)) (and (tptp.r2_hidden D (tptp.k1_relat_1 B)) (tptp.r2_hidden C (tptp.k1_funct_1 B D))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v2_relat_1 B) (tptp.v1_funct_1 B)) (=> (and (= (tptp.k3_card_3 B) A) (forall ((C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k1_relat_1 B))) (=> (and (tptp.r2_hidden C _let_1) (tptp.r2_hidden D _let_1)) (or (= C D) (tptp.r1_xboole_0 (tptp.k1_funct_1 B C) (tptp.k1_funct_1 B D))))))) (tptp.m2_pua2mss1 B A)))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (=> (tptp.m1_eqrel_1 C B) (forall ((D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D A C) (tptp.m2_relset_1 D A C)) (=> (and (tptp.r1_tarski C (tptp.k2_relat_1 D)) (tptp.v2_funct_1 D)) (tptp.m2_pua2mss1 D B)))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v6_unialg_1 A) (tptp.v8_unialg_1 A) (tptp.l1_unialg_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m2_relset_1 B _let_1 _let_1) (= (= B (tptp.k7_pua2mss1 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.k4_tarski C D) B) (forall ((E $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_pua2mss1 E (tptp.k3_finseq_2 _let_1) _let_1 (tptp.k1_pua2mss1 _let_1 (tptp.u1_unialg_1 A))) (forall ((F $$unsorted)) (=> (and (tptp.v1_relat_1 F) (tptp.v1_funct_1 F) (tptp.v1_finseq_1 F)) (forall ((G $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.k4_relset_1 (tptp.k3_finseq_2 _let_1) _let_1 E))) (=> (and (tptp.v1_relat_1 G) (tptp.v1_funct_1 G) (tptp.v1_finseq_1 G)) (= (tptp.r2_hidden (tptp.k7_finseq_1 (tptp.k7_finseq_1 F (tptp.k12_finseq_1 _let_1 C)) G) _let_2) (tptp.r2_hidden (tptp.k7_finseq_1 (tptp.k7_finseq_1 F (tptp.k12_finseq_1 _let_1 D)) G) _let_2)))))))))))))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v6_unialg_1 A) (tptp.v8_unialg_1 A) (tptp.l1_unialg_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m2_relset_1 B _let_1 _let_1) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m2_relset_1 C _let_1 _let_1) (= (= C (tptp.k8_pua2mss1 A B)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (forall ((E $$unsorted)) (let ((_let_1 (tptp.k4_tarski D E))) (=> (tptp.m1_subset_1 E (tptp.u1_struct_0 A)) (= (tptp.r2_hidden _let_1 C) (and (tptp.r2_hidden _let_1 B) (forall ((F $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_pua2mss1 F (tptp.k3_finseq_2 _let_1) _let_1 (tptp.k1_pua2mss1 _let_1 (tptp.u1_unialg_1 A))) (forall ((G $$unsorted)) (=> (and (tptp.v1_relat_1 G) (tptp.v1_funct_1 G) (tptp.v1_finseq_1 G)) (forall ((H $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.k7_finseq_1 (tptp.k7_finseq_1 G (tptp.k12_finseq_1 _let_1 E)) H))) (let ((_let_3 (tptp.k7_finseq_1 (tptp.k7_finseq_1 G (tptp.k12_finseq_1 _let_1 D)) H))) (let ((_let_4 (tptp.k4_relset_1 (tptp.k3_finseq_2 _let_1) _let_1 F))) (=> (and (tptp.v1_relat_1 H) (tptp.v1_funct_1 H) (tptp.v1_finseq_1 H)) (=> (and (tptp.r2_hidden _let_3 _let_4) (tptp.r2_hidden _let_2 _let_4)) (tptp.r2_hidden (tptp.k4_tarski (tptp.k1_funct_1 F _let_3) (tptp.k1_funct_1 F _let_2)) B))))))))))))))))))))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v6_unialg_1 A) (tptp.v8_unialg_1 A) (tptp.l1_unialg_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m2_relset_1 B _let_1 _let_1) (forall ((C $$unsorted)) (=> (tptp.m2_subset_1 C tptp.k1_numbers tptp.k5_numbers) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m2_relset_1 D _let_1 _let_1) (= (= D (tptp.k9_pua2mss1 A B C)) (exists ((E $$unsorted)) (and (tptp.m1_pboole E tptp.k5_numbers) (= D (tptp.k1_funct_1 E C)) (= (tptp.k1_funct_1 E tptp.np__0) B) (forall ((F $$unsorted)) (=> (tptp.m2_subset_1 F tptp.k1_numbers tptp.k5_numbers) (forall ((G $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m2_relset_1 G _let_1 _let_1) (=> (= G (tptp.k1_funct_1 E F)) (= (tptp.k1_funct_1 E (tptp.k1_nat_1 F tptp.np__1)) (tptp.k8_pua2mss1 A G))))))))))))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v6_unialg_1 A) (tptp.v8_unialg_1 A) (tptp.l1_unialg_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m2_relset_1 B _let_1 _let_1) (and (= (tptp.k9_pua2mss1 A B tptp.np__0) B) (= (tptp.k9_pua2mss1 A B tptp.np__1) (tptp.k8_pua2mss1 A B)))))))) (forall ((A $$unsorted)) (=> (and (tptp.v6_unialg_1 A) (tptp.v8_unialg_1 A) (tptp.l1_unialg_1 A)) (forall ((B $$unsorted)) (=> (tptp.m2_subset_1 B tptp.k1_numbers tptp.k5_numbers) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m2_relset_1 C _let_1 _let_1) (= (tptp.k9_pua2mss1 A C (tptp.k1_nat_1 B tptp.np__1)) (tptp.k8_pua2mss1 A (tptp.k9_pua2mss1 A C B)))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v6_unialg_1 A) (tptp.v8_unialg_1 A) (tptp.l1_unialg_1 A)) (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 $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m2_relset_1 D _let_1 _let_1) (= (tptp.k9_pua2mss1 A D (tptp.k1_nat_1 B C)) (tptp.k9_pua2mss1 A (tptp.k9_pua2mss1 A D B) C))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v6_unialg_1 A) (tptp.v8_unialg_1 A) (tptp.l1_unialg_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k8_pua2mss1 A B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (tptp.v3_relat_2 B) (tptp.v8_relat_2 B) (tptp.v1_partfun1 B _let_2 _let_2) (tptp.m2_relset_1 B _let_2 _let_2)) (=> (tptp.r1_tarski B (tptp.k7_pua2mss1 A)) (and (tptp.v1_partfun1 _let_1 _let_2 _let_2) (tptp.v3_relat_2 _let_1) (tptp.v8_relat_2 _let_1))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v6_unialg_1 A) (tptp.v8_unialg_1 A) (tptp.l1_unialg_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m2_relset_1 B _let_1 _let_1) (tptp.r1_tarski (tptp.k8_pua2mss1 A B) B)))))) (forall ((A $$unsorted)) (=> (and (tptp.v6_unialg_1 A) (tptp.v8_unialg_1 A) (tptp.l1_unialg_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (tptp.v3_relat_2 B) (tptp.v8_relat_2 B) (tptp.v1_partfun1 B _let_1 _let_1) (tptp.m2_relset_1 B _let_1 _let_1)) (=> (tptp.r1_tarski B (tptp.k7_pua2mss1 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k9_pua2mss1 A B C))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (tptp.m2_subset_1 C tptp.k1_numbers tptp.k5_numbers) (and (tptp.v1_partfun1 _let_1 _let_2 _let_2) (tptp.v3_relat_2 _let_1) (tptp.v8_relat_2 _let_1)))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v6_unialg_1 A) (tptp.v8_unialg_1 A) (tptp.l1_unialg_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m2_relset_1 B _let_1 _let_1) (= (= B (tptp.k10_pua2mss1 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.k4_tarski C D) B) (forall ((E $$unsorted)) (=> (tptp.m2_subset_1 E tptp.k1_numbers tptp.k5_numbers) (tptp.r2_hidden (tptp.k4_tarski C D) (tptp.k9_pua2mss1 A (tptp.k7_pua2mss1 A) E))))))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v6_unialg_1 A) (tptp.v8_unialg_1 A) (tptp.l1_unialg_1 A)) (tptp.r1_tarski (tptp.k10_pua2mss1 A) (tptp.k7_pua2mss1 A)))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_funct_1 B) (tptp.m2_relset_1 B (tptp.k3_finseq_2 A) A)) (forall ((C $$unsorted)) (=> (tptp.m1_eqrel_1 C A) (= (tptp.r1_pua2mss1 A B C) (forall ((D $$unsorted)) (=> (tptp.m2_finseq_1 D C) (exists ((E $$unsorted)) (and (tptp.m2_subset_1 E (tptp.k1_zfmisc_1 A) C) (tptp.r1_tarski (tptp.k9_relat_1 B (tptp.k4_card_3 D)) E)))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_funct_1 B) (tptp.m2_relset_1 B (tptp.k3_finseq_2 A) A)) (forall ((C $$unsorted)) (=> (tptp.m1_eqrel_1 C A) (= (tptp.r2_pua2mss1 A B C) (and (tptp.r1_pua2mss1 A B C) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k4_relset_1 (tptp.k3_finseq_2 A) A B))) (let ((_let_2 (tptp.k4_card_3 D))) (=> (tptp.m2_finseq_1 D C) (=> (not (tptp.r1_xboole_0 _let_2 _let_1)) (tptp.r1_tarski _let_2 _let_1)))))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v6_unialg_1 A) (tptp.v8_unialg_1 A) (tptp.l1_unialg_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_pua2mss1 B (tptp.k3_finseq_2 _let_1) _let_1 (tptp.k1_pua2mss1 _let_1 (tptp.u1_unialg_1 A))) (tptp.r2_pua2mss1 _let_1 B (tptp.k3_pua2mss1 _let_1))))))) (forall ((A $$unsorted)) (=> (and (tptp.v6_unialg_1 A) (tptp.v8_unialg_1 A) (tptp.l1_unialg_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_pua2mss1 B (tptp.k3_finseq_2 _let_1) _let_1 (tptp.k1_pua2mss1 _let_1 (tptp.u1_unialg_1 A))) (tptp.r2_pua2mss1 _let_1 B (tptp.k8_eqrel_1 _let_1 (tptp.k10_pua2mss1 A)))))))) (forall ((A $$unsorted)) (=> (and (tptp.v6_unialg_1 A) (tptp.v8_unialg_1 A) (tptp.l1_unialg_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_eqrel_1 B (tptp.u1_struct_0 A)) (= (tptp.m3_pua2mss1 B A) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_pua2mss1 C (tptp.k3_finseq_2 _let_1) _let_1 (tptp.k1_pua2mss1 _let_1 (tptp.u1_unialg_1 A))) (tptp.r2_pua2mss1 _let_1 C B))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v6_unialg_1 A) (tptp.v8_unialg_1 A) (tptp.l1_unialg_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m2_pua2mss1 B _let_1) (= (tptp.m4_pua2mss1 B A) (tptp.m3_pua2mss1 (tptp.k4_pua2mss1 _let_1 B) A))))))) (forall ((A $$unsorted)) (=> (and (tptp.v6_unialg_1 A) (tptp.v8_unialg_1 A) (tptp.l1_unialg_1 A)) (tptp.m3_pua2mss1 (tptp.k8_eqrel_1 (tptp.u1_struct_0 A) (tptp.k10_pua2mss1 A)) A))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (tptp.m1_eqrel_1 B A) (forall ((C $$unsorted)) (=> (tptp.m2_finseq_1 C B) (forall ((D $$unsorted)) (=> (and (tptp.v1_relat_1 D) (tptp.v1_funct_1 D) (tptp.v1_finseq_1 D)) (forall ((E $$unsorted)) (=> (and (tptp.v1_relat_1 E) (tptp.v1_funct_1 E) (tptp.v1_finseq_1 E)) (forall ((F $$unsorted) (G $$unsorted)) (let ((_let_1 (tptp.k4_card_3 C))) (=> (tptp.r2_hidden (tptp.k7_finseq_1 (tptp.k7_finseq_1 D (tptp.k9_finseq_1 F)) E) _let_1) (or (forall ((H $$unsorted)) (=> (tptp.m2_subset_1 H (tptp.k1_zfmisc_1 A) B) (not (and (tptp.r2_hidden F H) (tptp.r2_hidden G H))))) (tptp.r2_hidden (tptp.k7_finseq_1 (tptp.k7_finseq_1 D (tptp.k9_finseq_1 G)) E) _let_1))))))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v6_unialg_1 A) (tptp.v8_unialg_1 A) (tptp.l1_unialg_1 A)) (forall ((B $$unsorted)) (=> (tptp.m3_pua2mss1 B A) (tptp.r1_setfam_1 B (tptp.k8_eqrel_1 (tptp.u1_struct_0 A) (tptp.k10_pua2mss1 A))))))) (forall ((A $$unsorted)) (=> (tptp.l1_msualg_1 A) (forall ((B $$unsorted)) (=> (tptp.l1_msualg_1 B) (forall ((C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (forall ((D $$unsorted)) (=> (and (tptp.v1_relat_1 D) (tptp.v1_funct_1 D)) (= (tptp.r3_pua2mss1 A B C D) (and (= (tptp.k1_relat_1 C) (tptp.u1_struct_0 A)) (= (tptp.k1_relat_1 D) (tptp.u1_msualg_1 A)) (tptp.r1_tarski (tptp.k2_relat_1 C) (tptp.u1_struct_0 B)) (tptp.r1_tarski (tptp.k2_relat_1 D) (tptp.u1_msualg_1 B)) (= (tptp.k5_relat_1 (tptp.u3_msualg_1 A) C) (tptp.k5_relat_1 D (tptp.u3_msualg_1 B))) (forall ((E $$unsorted) (F $$unsorted)) (=> (and (tptp.v1_relat_1 F) (tptp.v1_funct_1 F)) (=> (and (tptp.r2_hidden E (tptp.u1_msualg_1 A)) (= F (tptp.k1_funct_1 (tptp.u2_msualg_1 A) E))) (= (tptp.k5_relat_1 F C) (tptp.k1_funct_1 (tptp.u2_msualg_1 B) (tptp.k1_funct_1 D E)))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (not (tptp.v2_msualg_1 A)) (tptp.l1_msualg_1 A)) (tptp.r3_pua2mss1 A A (tptp.k6_partfun1 (tptp.u1_struct_0 A)) (tptp.k6_partfun1 (tptp.u1_msualg_1 A))))) (forall ((A $$unsorted)) (=> (tptp.l1_msualg_1 A) (forall ((B $$unsorted)) (=> (tptp.l1_msualg_1 B) (forall ((C $$unsorted)) (=> (tptp.l1_msualg_1 C) (forall ((D $$unsorted)) (=> (and (tptp.v1_relat_1 D) (tptp.v1_funct_1 D)) (forall ((E $$unsorted)) (=> (and (tptp.v1_relat_1 E) (tptp.v1_funct_1 E)) (forall ((F $$unsorted)) (=> (and (tptp.v1_relat_1 F) (tptp.v1_funct_1 F)) (forall ((G $$unsorted)) (=> (and (tptp.v1_relat_1 G) (tptp.v1_funct_1 G)) (=> (and (tptp.r3_pua2mss1 A B D F) (tptp.r3_pua2mss1 B C E G)) (tptp.r3_pua2mss1 A C (tptp.k5_relat_1 D E) (tptp.k5_relat_1 F G))))))))))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_msualg_1 A) (forall ((B $$unsorted)) (=> (tptp.l1_msualg_1 B) (= (tptp.r4_pua2mss1 A B) (exists ((C $$unsorted)) (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C) (exists ((D $$unsorted)) (and (tptp.v1_relat_1 D) (tptp.v1_funct_1 D) (tptp.r3_pua2mss1 B A C D) (= (tptp.k2_relat_1 C) (tptp.u1_struct_0 A)) (= (tptp.k2_relat_1 D) (tptp.u1_msualg_1 A))))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_msualg_1 A) (forall ((B $$unsorted)) (=> (tptp.l1_msualg_1 B) (forall ((C $$unsorted)) (=> (tptp.l1_msualg_1 C) (=> (and (tptp.r4_pua2mss1 A B) (tptp.r4_pua2mss1 B C)) (tptp.r4_pua2mss1 A C)))))))) (forall ((A $$unsorted)) (=> (and (tptp.v6_unialg_1 A) (tptp.v8_unialg_1 A) (tptp.l1_unialg_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (not (tptp.v2_msualg_1 B)) (tptp.l1_msualg_1 B)) (forall ((C $$unsorted)) (=> (tptp.l3_msualg_1 C B) (forall ((D $$unsorted)) (=> (tptp.m2_pua2mss1 D (tptp.u1_msualg_1 B)) (= (tptp.r6_pua2mss1 A B C D) (and (tptp.m4_pua2mss1 (tptp.u4_msualg_1 B C) A) (= (tptp.k1_relat_1 D) (tptp.k4_finseq_1 (tptp.u1_unialg_1 A))) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.k4_finseq_1 (tptp.u1_unialg_1 A))) (tptp.m2_pua2mss1 (tptp.k7_relat_1 (tptp.u5_msualg_1 B C) (tptp.k1_funct_1 D E)) (tptp.k2_pua2mss1 A E)))))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v6_unialg_1 A) (tptp.v8_unialg_1 A) (tptp.l1_unialg_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (not (tptp.v2_msualg_1 B)) (tptp.l1_msualg_1 B)) (= (tptp.r7_pua2mss1 A B) (exists ((C $$unsorted)) (and (tptp.l3_msualg_1 C B) (exists ((D $$unsorted)) (and (tptp.m2_pua2mss1 D (tptp.u1_msualg_1 B)) (tptp.r6_pua2mss1 A B C D)))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v6_unialg_1 A) (tptp.v8_unialg_1 A) (tptp.l1_unialg_1 A)) (forall ((B $$unsorted)) (=> (tptp.m3_pua2mss1 B A) (tptp.r7_pua2mss1 A (tptp.k12_pua2mss1 A B)))))) (forall ((A $$unsorted)) (=> (and (tptp.v6_unialg_1 A) (tptp.v8_unialg_1 A) (tptp.l1_unialg_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (not (tptp.v2_msualg_1 B)) (tptp.l1_msualg_1 B)) (forall ((C $$unsorted)) (=> (tptp.l3_msualg_1 C B) (forall ((D $$unsorted)) (=> (tptp.m2_pua2mss1 D (tptp.u1_msualg_1 B)) (=> (tptp.r6_pua2mss1 A B C D) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.k4_finseq_1 (tptp.u1_unialg_1 A))) (forall ((F $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m2_finseq_1 F (tptp.k2_relat_1 (tptp.u4_msualg_1 B C))) (not (and (tptp.r1_tarski (tptp.k4_card_3 F) (tptp.k4_relset_1 (tptp.k3_finseq_2 _let_1) _let_1 (tptp.k2_pua2mss1 A E))) (forall ((G $$unsorted)) (=> (tptp.m1_subset_1 G (tptp.u1_msualg_1 B)) (not (and (= (tptp.k5_relat_1 (tptp.k1_msualg_1 B G) (tptp.u4_msualg_1 B C)) F) (tptp.r2_hidden G (tptp.k1_funct_1 D E)))))))))))))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v6_unialg_1 A) (tptp.v8_unialg_1 A) (tptp.l1_unialg_1 A)) (forall ((B $$unsorted)) (=> (tptp.m3_pua2mss1 B A) (=> (= B (tptp.k8_eqrel_1 (tptp.u1_struct_0 A) (tptp.k10_pua2mss1 A))) (forall ((C $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (not (tptp.v2_msualg_1 C)) (tptp.l1_msualg_1 C)) (=> (tptp.r7_pua2mss1 A C) (tptp.r5_pua2mss1 (tptp.k12_pua2mss1 A B) C))))))))) (exists ((A $$unsorted)) (and (tptp.m2_relset_1 A tptp.f1_s1_pua2mss1 tptp.f2_s1_pua2mss1) (exists ((B $$unsorted)) (and (tptp.m1_pboole B tptp.k5_numbers) (= A (tptp.k1_funct_1 B tptp.f3_s1_pua2mss1)) (= (tptp.k1_funct_1 B tptp.np__0) tptp.f4_s1_pua2mss1) (forall ((C $$unsorted)) (=> (tptp.m2_subset_1 C tptp.k1_numbers tptp.k5_numbers) (forall ((D $$unsorted)) (=> (tptp.m2_relset_1 D tptp.f1_s1_pua2mss1 tptp.f2_s1_pua2mss1) (=> (= D (tptp.k1_funct_1 B C)) (= (tptp.k1_funct_1 B (tptp.k1_nat_1 C tptp.np__1)) (tptp.f5_s1_pua2mss1 D C))))))))))) (forall ((A $$unsorted)) (=> (tptp.m2_relset_1 A tptp.f1_s2_pua2mss1 tptp.f2_s2_pua2mss1) (forall ((B $$unsorted)) (=> (tptp.m2_relset_1 B tptp.f1_s2_pua2mss1 tptp.f2_s2_pua2mss1) (=> (and (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C tptp.f1_s2_pua2mss1) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D tptp.f2_s2_pua2mss1) (= (tptp.r2_hidden (tptp.k4_tarski C D) A) (tptp.p1_s2_pua2mss1 C D)))))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C tptp.f1_s2_pua2mss1) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D tptp.f2_s2_pua2mss1) (= (tptp.r2_hidden (tptp.k4_tarski C D) B) (tptp.p1_s2_pua2mss1 C D))))))) (= A B)))))) (forall ((A $$unsorted)) (=> (tptp.m2_relset_1 A tptp.f1_s3_pua2mss1 tptp.f2_s3_pua2mss1) (forall ((B $$unsorted)) (=> (tptp.m2_relset_1 B tptp.f1_s3_pua2mss1 tptp.f2_s3_pua2mss1) (not (and (exists ((C $$unsorted)) (and (tptp.m1_pboole C tptp.k5_numbers) (= A (tptp.k1_funct_1 C tptp.f3_s3_pua2mss1)) (= (tptp.k1_funct_1 C tptp.np__0) tptp.f4_s3_pua2mss1) (forall ((D $$unsorted)) (=> (tptp.m2_subset_1 D tptp.k1_numbers tptp.k5_numbers) (forall ((E $$unsorted)) (=> (tptp.m2_relset_1 E tptp.f1_s3_pua2mss1 tptp.f2_s3_pua2mss1) (=> (= E (tptp.k1_funct_1 C D)) (= (tptp.k1_funct_1 C (tptp.k1_nat_1 D tptp.np__1)) (tptp.f5_s3_pua2mss1 E D))))))))) (exists ((C $$unsorted)) (and (tptp.m1_pboole C tptp.k5_numbers) (= B (tptp.k1_funct_1 C tptp.f3_s3_pua2mss1)) (= (tptp.k1_funct_1 C tptp.np__0) tptp.f4_s3_pua2mss1) (forall ((D $$unsorted)) (=> (tptp.m2_subset_1 D tptp.k1_numbers tptp.k5_numbers) (forall ((E $$unsorted)) (=> (tptp.m2_relset_1 E tptp.f1_s3_pua2mss1 tptp.f2_s3_pua2mss1) (=> (= E (tptp.k1_funct_1 C D)) (= (tptp.k1_funct_1 C (tptp.k1_nat_1 D tptp.np__1)) (tptp.f5_s3_pua2mss1 E D))))))))) (not (= A B)))))))) (=> (and (tptp.p1_s4_pua2mss1 tptp.f1_s4_pua2mss1) (= (tptp.k3_finseq_1 tptp.f1_s4_pua2mss1) (tptp.k3_finseq_1 tptp.f2_s4_pua2mss1)) (forall ((A $$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) (D $$unsorted)) (=> (and (tptp.p1_s4_pua2mss1 (tptp.k7_finseq_1 (tptp.k7_finseq_1 A (tptp.k9_finseq_1 C)) B)) (tptp.p2_s4_pua2mss1 C D)) (tptp.p1_s4_pua2mss1 (tptp.k7_finseq_1 (tptp.k7_finseq_1 A (tptp.k9_finseq_1 D)) B)))))))) (forall ((A $$unsorted)) (=> (tptp.m2_subset_1 A tptp.k1_numbers tptp.k5_numbers) (=> (tptp.r2_hidden A (tptp.k4_finseq_1 tptp.f1_s4_pua2mss1)) (tptp.p2_s4_pua2mss1 (tptp.k1_funct_1 tptp.f1_s4_pua2mss1 A) (tptp.k1_funct_1 tptp.f2_s4_pua2mss1 A)))))) (tptp.p1_s4_pua2mss1 tptp.f2_s4_pua2mss1)) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (not (tptp.v1_xboole_0 B)) (not (tptp.v1_xboole_0 C)) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.k4_partfun1 A B)))) (forall ((D $$unsorted)) (=> (tptp.m1_pua2mss1 D A B C) (and (tptp.v1_funct_1 D) (tptp.m2_relset_1 D A B)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (not (tptp.v1_xboole_0 B)) (not (tptp.v1_xboole_0 C)) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.k4_partfun1 A B)))) (exists ((D $$unsorted)) (tptp.m1_pua2mss1 D A B C)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (not (tptp.v1_xboole_0 B)) (not (tptp.v1_xboole_0 C)) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.k4_partfun1 A B)))) (forall ((D $$unsorted)) (= (tptp.m1_pua2mss1 D A B C) (tptp.m1_subset_1 D C))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m2_pua2mss1 B A) (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)))) (forall ((A $$unsorted)) (exists ((B $$unsorted)) (tptp.m2_pua2mss1 B A))) (forall ((A $$unsorted)) (=> (and (tptp.v6_unialg_1 A) (tptp.v8_unialg_1 A) (tptp.l1_unialg_1 A)) (forall ((B $$unsorted)) (=> (tptp.m3_pua2mss1 B A) (tptp.m1_eqrel_1 B (tptp.u1_struct_0 A)))))) (forall ((A $$unsorted)) (=> (and (tptp.v6_unialg_1 A) (tptp.v8_unialg_1 A) (tptp.l1_unialg_1 A)) (exists ((B $$unsorted)) (tptp.m3_pua2mss1 B A)))) (forall ((A $$unsorted)) (=> (and (tptp.v6_unialg_1 A) (tptp.v8_unialg_1 A) (tptp.l1_unialg_1 A)) (forall ((B $$unsorted)) (=> (tptp.m4_pua2mss1 B A) (tptp.m2_pua2mss1 B (tptp.u1_struct_0 A)))))) (forall ((A $$unsorted)) (=> (and (tptp.v6_unialg_1 A) (tptp.v8_unialg_1 A) (tptp.l1_unialg_1 A)) (exists ((B $$unsorted)) (tptp.m4_pua2mss1 B A)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (not (tptp.v2_msualg_1 A)) (tptp.l1_msualg_1 A) (not (tptp.v3_struct_0 B)) (not (tptp.v2_msualg_1 B)) (tptp.l1_msualg_1 B)) (tptp.r5_pua2mss1 A A))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (not (tptp.v2_msualg_1 A)) (tptp.l1_msualg_1 A) (not (tptp.v3_struct_0 B)) (not (tptp.v2_msualg_1 B)) (tptp.l1_msualg_1 B)) (= (tptp.r5_pua2mss1 A B) (tptp.r4_pua2mss1 A B)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.m1_finseq_1 B (tptp.k4_partfun1 (tptp.k13_finseq_1 A) A))) (tptp.m1_subset_1 (tptp.k1_pua2mss1 A B) (tptp.k1_zfmisc_1 (tptp.k4_partfun1 (tptp.k3_finseq_2 A) A))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.m1_finseq_1 B (tptp.k4_partfun1 (tptp.k13_finseq_1 A) A))) (= (tptp.k1_pua2mss1 A B) (tptp.k2_relat_1 B)))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.u1_unialg_1 A))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (tptp.v8_unialg_1 A) (tptp.l1_unialg_1 A) (tptp.m1_subset_1 B (tptp.k4_finseq_1 _let_1))) (tptp.m1_pua2mss1 (tptp.k2_pua2mss1 A B) (tptp.k3_finseq_2 _let_2) _let_2 (tptp.k1_pua2mss1 _let_2 _let_1)))))) (forall ((A $$unsorted)) (tptp.m1_eqrel_1 (tptp.k3_pua2mss1 A) A)) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m2_pua2mss1 B A) (tptp.m1_eqrel_1 (tptp.k4_pua2mss1 A B) A))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m2_pua2mss1 B A) (= (tptp.k4_pua2mss1 A B) (tptp.k2_relat_1 B)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_eqrel_1 B A) (tptp.m2_pua2mss1 (tptp.k5_pua2mss1 A B) A))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_eqrel_1 B A) (= (tptp.k5_pua2mss1 A B) (tptp.k6_relat_1 B)))) true (forall ((A $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (tptp.v6_unialg_1 A) (tptp.v8_unialg_1 A) (tptp.l1_unialg_1 A)) (tptp.m2_relset_1 (tptp.k7_pua2mss1 A) _let_1 _let_1)))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (tptp.v6_unialg_1 A) (tptp.v8_unialg_1 A) (tptp.l1_unialg_1 A) (tptp.m1_relset_1 B _let_1 _let_1)) (tptp.m2_relset_1 (tptp.k8_pua2mss1 A B) _let_1 _let_1)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (tptp.v6_unialg_1 A) (tptp.v8_unialg_1 A) (tptp.l1_unialg_1 A) (tptp.m1_relset_1 B _let_1 _let_1) (tptp.m1_subset_1 C tptp.k5_numbers)) (tptp.m2_relset_1 (tptp.k9_pua2mss1 A B C) _let_1 _let_1)))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (tptp.v6_unialg_1 A) (tptp.v8_unialg_1 A) (tptp.l1_unialg_1 A)) (tptp.m2_relset_1 (tptp.k10_pua2mss1 A) _let_1 _let_1)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v6_unialg_1 A) (tptp.v8_unialg_1 A) (tptp.l1_unialg_1 A) (tptp.m4_pua2mss1 B A)) (tptp.m3_pua2mss1 (tptp.k11_pua2mss1 A B) A))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v6_unialg_1 A) (tptp.v8_unialg_1 A) (tptp.l1_unialg_1 A) (tptp.m4_pua2mss1 B A)) (= (tptp.k11_pua2mss1 A B) (tptp.k2_relat_1 B)))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k12_pua2mss1 A B))) (=> (and (tptp.v6_unialg_1 A) (tptp.v8_unialg_1 A) (tptp.l1_unialg_1 A) (tptp.m3_pua2mss1 B A)) (and (tptp.v1_msualg_1 _let_1) (tptp.l1_msualg_1 _let_1))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v6_unialg_1 A) (tptp.v8_unialg_1 A) (tptp.l1_unialg_1 A) (tptp.m3_pua2mss1 B A) (tptp.m1_subset_1 C (tptp.u1_msualg_1 (tptp.k12_pua2mss1 A B)))) (tptp.m1_subset_1 (tptp.k13_pua2mss1 A B C) (tptp.k4_finseq_1 (tptp.u1_unialg_1 A))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v6_unialg_1 A) (tptp.v8_unialg_1 A) (tptp.l1_unialg_1 A) (tptp.m3_pua2mss1 B A) (tptp.m1_subset_1 C (tptp.u1_msualg_1 (tptp.k12_pua2mss1 A B)))) (= (tptp.k13_pua2mss1 A B C) (tptp.k1_mcart_1 C)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v6_unialg_1 A) (tptp.v8_unialg_1 A) (tptp.l1_unialg_1 A) (tptp.m3_pua2mss1 B A) (tptp.m1_subset_1 C (tptp.u1_msualg_1 (tptp.k12_pua2mss1 A B)))) (tptp.m2_finseq_2 (tptp.k14_pua2mss1 A B C) B (tptp.k3_finseq_2 B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v6_unialg_1 A) (tptp.v8_unialg_1 A) (tptp.l1_unialg_1 A) (tptp.m3_pua2mss1 B A) (tptp.m1_subset_1 C (tptp.u1_msualg_1 (tptp.k12_pua2mss1 A B)))) (= (tptp.k14_pua2mss1 A B C) (tptp.k2_mcart_1 C)))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (=> (tptp.m1_eqrel_1 C A) (forall ((D $$unsorted)) (=> (tptp.m1_eqrel_1 D B) (tptp.m1_eqrel_1 (tptp.a_4_0_pua2mss1 A B C D) (tptp.k2_zfmisc_1 A B)))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (tptp.m1_eqrel_1 B A) (tptp.m1_eqrel_1 (tptp.a_2_0_pua2mss1 A B) (tptp.k3_finseq_2 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 $$unsorted)) (=> (tptp.m1_eqrel_1 C A) (tptp.m1_eqrel_1 (tptp.a_3_0_pua2mss1 A B C) (tptp.k4_finseq_2 B A)))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (tptp.r1_tarski B A) (forall ((C $$unsorted)) (=> (tptp.m1_eqrel_1 C A) (tptp.m1_eqrel_1 (tptp.a_3_1_pua2mss1 A B C) B))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_eqrel_1 B (tptp.k1_relat_1 A)) (tptp.m1_eqrel_1 (tptp.a_2_1_pua2mss1 A B) A))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (= (tptp.k3_pua2mss1 A) (tptp.a_1_0_pua2mss1 A)))) (forall ((A $$unsorted)) (=> (and (tptp.v6_unialg_1 A) (tptp.v8_unialg_1 A) (tptp.l1_unialg_1 A)) (forall ((B $$unsorted)) (=> (tptp.m3_pua2mss1 B A) (forall ((C $$unsorted)) (=> (and (tptp.v1_msualg_1 C) (tptp.l1_msualg_1 C)) (= (= C (tptp.k12_pua2mss1 A B)) (and (= (tptp.u1_struct_0 C) B) (= (tptp.u1_msualg_1 C) (tptp.a_2_2_pua2mss1 A B)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k4_finseq_1 (tptp.u1_unialg_1 A))) (forall ((E $$unsorted)) (let ((_let_1 (tptp.k4_tarski D E))) (let ((_let_2 (tptp.k4_card_3 E))) (let ((_let_3 (tptp.k2_pua2mss1 A D))) (let ((_let_4 (tptp.u1_struct_0 A))) (=> (tptp.m2_finseq_2 E B (tptp.k3_finseq_2 B)) (=> (not (tptp.r2_subset_1 _let_2 (tptp.k4_relset_1 (tptp.k3_finseq_2 _let_4) _let_4 _let_3))) (and (= (tptp.k1_funct_1 (tptp.u2_msualg_1 C) _let_1) E) (tptp.r1_tarski (tptp.k9_relat_1 _let_3 _let_2) (tptp.k1_funct_1 (tptp.u3_msualg_1 C) _let_1)))))))))))))))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (not (tptp.v1_xboole_0 C)) (tptp.m1_eqrel_1 D B) (tptp.m1_eqrel_1 E C)) (= (tptp.r2_hidden A (tptp.a_4_0_pua2mss1 B C D E)) (exists ((F $$unsorted) (G $$unsorted)) (and (tptp.m2_subset_1 F (tptp.k1_zfmisc_1 B) D) (tptp.m2_subset_1 G (tptp.k1_zfmisc_1 C) E) (= A (tptp.k12_mcart_1 B C F G))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.m1_eqrel_1 C B)) (= (tptp.r2_hidden A (tptp.a_2_0_pua2mss1 B C)) (exists ((D $$unsorted)) (and (tptp.m2_finseq_2 D C (tptp.k3_finseq_2 C)) (= A (tptp.k4_card_3 D))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.m2_subset_1 C tptp.k1_numbers tptp.k5_numbers) (tptp.m1_eqrel_1 D B)) (= (tptp.r2_hidden A (tptp.a_3_0_pua2mss1 B C D)) (exists ((E $$unsorted)) (and (tptp.m2_finseq_2 E D (tptp.k4_finseq_2 C D)) (= A (tptp.k4_card_3 E))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.m1_eqrel_1 D B)) (= (tptp.r2_hidden A (tptp.a_3_1_pua2mss1 B C D)) (exists ((E $$unsorted)) (and (tptp.m2_subset_1 E (tptp.k1_zfmisc_1 B) D) (= A (tptp.k3_xboole_0 E C)) (not (tptp.r1_xboole_0 E C))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (tptp.m1_eqrel_1 C (tptp.k1_relat_1 B))) (= (tptp.r2_hidden A (tptp.a_2_1_pua2mss1 B C)) (exists ((D $$unsorted)) (and (tptp.m2_subset_1 D (tptp.k1_zfmisc_1 (tptp.k1_relat_1 B)) C) (= A (tptp.k7_relat_1 B D))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (= (tptp.r2_hidden A (tptp.a_1_0_pua2mss1 B)) (exists ((C $$unsorted)) (and (tptp.m1_subset_1 C B) (= A (tptp.k1_tarski C))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v6_unialg_1 B) (tptp.v8_unialg_1 B) (tptp.l1_unialg_1 B) (tptp.m3_pua2mss1 C B)) (= (tptp.r2_hidden A (tptp.a_2_2_pua2mss1 B C)) (exists ((D $$unsorted) (E $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (and (tptp.m1_subset_1 D (tptp.k4_finseq_1 (tptp.u1_unialg_1 B))) (tptp.m2_finseq_2 E C (tptp.k3_finseq_2 C)) (= A (tptp.k4_tarski D E)) (not (tptp.r2_subset_1 (tptp.k4_card_3 E) (tptp.k4_relset_1 (tptp.k3_finseq_2 _let_1) _let_1 (tptp.k2_pua2mss1 B D)))))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k1_finseq_1 (tptp.k1_nat_1 A tptp.np__1)))) (=> (tptp.m1_subset_1 A tptp.k5_numbers) (and (not (tptp.v1_xboole_0 _let_1)) (tptp.v1_finset_1 _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.g1_orders_2 A B))) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v1_relat_2 B) (tptp.v4_relat_2 B) (tptp.v8_relat_2 B) (tptp.v1_partfun1 B A A) (tptp.m1_relset_1 B A A)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v1_orders_2 _let_1) (tptp.v2_orders_2 _let_1) (tptp.v3_orders_2 _let_1) (tptp.v4_orders_2 _let_1))))) (forall ((A $$unsorted)) (exists ((B $$unsorted)) (and (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.k5_finsub_1 A))) (not (tptp.v1_xboole_0 B))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (exists ((B $$unsorted)) (and (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.k5_finsub_1 A))) (not (tptp.v1_xboole_0 B)) (tptp.v1_setfam_1 B))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (not (tptp.v1_xboole_0 B)) (tptp.v1_setfam_1 B) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.k5_finsub_1 A)))) (exists ((C $$unsorted)) (and (tptp.m1_subset_1 C B) (not (tptp.v1_xboole_0 C)))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (exists ((B $$unsorted)) (and (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.k5_finsub_1 A))) (not (tptp.v1_xboole_0 B)) (not (tptp.v2_setfam_1 B)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (not (tptp.v2_setfam_1 B)) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.k5_finsub_1 A)))) (exists ((C $$unsorted)) (and (tptp.m1_subset_1 C B) (not (tptp.v1_xboole_0 C)) (tptp.v1_finset_1 C))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.l1_orders_2 A) (not (tptp.v1_xboole_0 B)) (tptp.v1_finset_1 B) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 _let_1)) (tptp.m1_subset_1 C _let_1)) (tptp.v1_finset_1 (tptp.k3_orders_2 A B C))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k3_triang_1 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.l1_orders_2 A)) (and (not (tptp.v1_xboole_0 _let_1)) (not (tptp.v2_setfam_1 _let_1)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.k5_finsub_1 A)))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C B) (tptp.v1_finset_1 C))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.l1_orders_2 A)) (exists ((B $$unsorted)) (and (tptp.m1_subset_1 B (tptp.k3_triang_1 A)) (not (tptp.v1_xboole_0 B)) (tptp.v1_finset_1 B))))) (exists ((A $$unsorted)) (and (tptp.m1_pboole A tptp.k5_numbers) (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_triang_1 A))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_triang_1 A) (tptp.m1_pboole A tptp.k5_numbers) (tptp.m1_subset_1 B tptp.k5_numbers)) (not (tptp.v1_xboole_0 (tptp.k1_funct_1 (tptp.k4_triang_1 A) B))))) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.k5_numbers) (not (tptp.v1_xboole_0 (tptp.k1_funct_1 tptp.k6_triang_1 A))))) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.k5_numbers) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_funct_1 tptp.k6_triang_1 A)) (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)))))) (exists ((A $$unsorted)) (and (tptp.l1_triang_1 A) (tptp.v2_triang_1 A))) (exists ((A $$unsorted)) (and (tptp.l1_triang_1 A) (tptp.v2_triang_1 A) (tptp.v3_triang_1 A))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.u1_triang_1 A))) (=> (and (tptp.v3_triang_1 A) (tptp.l1_triang_1 A)) (and (tptp.v1_relat_1 _let_1) (tptp.v1_funct_1 _let_1) (tptp.v1_triang_1 _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.g1_triang_1 A B))) (=> (and (tptp.v1_triang_1 A) (tptp.m1_pboole A tptp.k5_numbers) (tptp.m3_pboole B tptp.k5_numbers tptp.k6_triang_1 (tptp.k4_triang_1 A))) (and (tptp.v2_triang_1 _let_1) (tptp.v3_triang_1 _let_1))))) (forall ((A $$unsorted)) (= (tptp.k1_toler_1 tptp.k1_xboole_0 A) tptp.k1_xboole_0)) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (not (and (tptp.v1_finset_1 B) (not (= B tptp.k1_xboole_0)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (not (and (tptp.r2_hidden C B) (tptp.r2_hidden D B) (not (tptp.r3_orders_2 A C D)) (not (tptp.r3_orders_2 A D C)))))))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (not (and (tptp.r2_hidden C B) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (=> (tptp.r2_hidden D B) (tptp.r3_orders_2 A C D)))))))))))))) (forall ((A $$unsorted)) (=> (tptp.v1_finset_1 A) (forall ((B $$unsorted)) (=> (tptp.v1_finset_1 B) (=> (and (tptp.r1_tarski A B) (= (tptp.k4_card_1 A) (tptp.k4_card_1 B))) (= A B)))))) true (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_finset_1 B) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A))) (forall ((C $$unsorted)) (=> (and (tptp.v1_relat_2 C) (tptp.v4_relat_2 C) (tptp.v8_relat_2 C) (tptp.v1_partfun1 C A A) (tptp.m2_relset_1 C A A)) (=> (tptp.r3_orders_1 C B) (forall ((D $$unsorted)) (=> (tptp.m2_finseq_1 D A) (= (= D (tptp.k2_triang_1 A B C)) (and (= (tptp.k2_relat_1 D) B) (forall ((E $$unsorted)) (=> (tptp.m2_subset_1 E tptp.k1_numbers tptp.k5_numbers) (forall ((F $$unsorted)) (let ((_let_1 (tptp.k4_finseq_4 tptp.k5_numbers A D F))) (let ((_let_2 (tptp.k4_finseq_4 tptp.k5_numbers A D E))) (let ((_let_3 (tptp.k4_finseq_1 D))) (=> (tptp.m2_subset_1 F tptp.k1_numbers tptp.k5_numbers) (=> (and (tptp.r2_hidden E _let_3) (tptp.r2_hidden F _let_3)) (or (tptp.r1_xreal_0 F E) (and (not (= _let_2 _let_1)) (tptp.r2_hidden (tptp.k4_tarski _let_2 _let_1) C)))))))))))))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_finset_1 B) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A))) (forall ((C $$unsorted)) (=> (and (tptp.v1_relat_2 C) (tptp.v4_relat_2 C) (tptp.v8_relat_2 C) (tptp.v1_partfun1 C A A) (tptp.m2_relset_1 C A A)) (forall ((D $$unsorted)) (=> (tptp.m2_finseq_1 D A) (=> (and (= (tptp.k2_relat_1 D) B) (forall ((E $$unsorted)) (=> (tptp.m2_subset_1 E tptp.k1_numbers tptp.k5_numbers) (forall ((F $$unsorted)) (let ((_let_1 (tptp.k4_finseq_4 tptp.k5_numbers A D F))) (let ((_let_2 (tptp.k4_finseq_4 tptp.k5_numbers A D E))) (let ((_let_3 (tptp.k4_finseq_1 D))) (=> (tptp.m2_subset_1 F tptp.k1_numbers tptp.k5_numbers) (=> (and (tptp.r2_hidden E _let_3) (tptp.r2_hidden F _let_3)) (or (tptp.r1_xreal_0 F E) (and (not (= _let_2 _let_1)) (tptp.r2_hidden (tptp.k4_tarski _let_2 _let_1) C)))))))))))) (= D (tptp.k2_triang_1 A B C))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (tptp.r2_hidden (tptp.k1_struct_0 A B) (tptp.k3_triang_1 A)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.l1_orders_2 A)) (tptp.r2_hidden tptp.k1_xboole_0 (tptp.k3_triang_1 A)))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k3_triang_1 A))) (=> (and (tptp.r1_tarski B C) (tptp.r2_hidden C _let_1)) (tptp.r2_hidden B _let_1)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_finset_1 B) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A))) (forall ((C $$unsorted)) (=> (and (tptp.v1_relat_2 C) (tptp.v4_relat_2 C) (tptp.v8_relat_2 C) (tptp.v1_partfun1 C A A) (tptp.m2_relset_1 C A A)) (=> (tptp.r3_orders_1 C B) (tptp.v2_funct_1 (tptp.k2_triang_1 A B C))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_finset_1 B) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A))) (forall ((C $$unsorted)) (=> (and (tptp.v1_relat_2 C) (tptp.v4_relat_2 C) (tptp.v8_relat_2 C) (tptp.v1_partfun1 C A A) (tptp.m2_relset_1 C A A)) (=> (tptp.r3_orders_1 C B) (= (tptp.k3_finseq_1 (tptp.k2_triang_1 A B C)) (tptp.k1_card_1 B))))))) (forall ((A $$unsorted)) (=> (tptp.m2_subset_1 A tptp.k1_numbers tptp.k5_numbers) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.l1_orders_2 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (=> (and (not (tptp.v1_xboole_0 C)) (tptp.m1_triang_1 C _let_1 (tptp.k3_triang_1 B))) (=> (= (tptp.k1_card_1 C) A) (= (tptp.k4_finseq_1 (tptp.k2_triang_1 _let_1 C (tptp.u1_orders_2 B))) (tptp.k2_finseq_1 A)))))))))) (forall ((A $$unsorted)) (=> (tptp.m1_pboole A tptp.k5_numbers) (= (tptp.v1_triang_1 A) (forall ((B $$unsorted)) (=> (tptp.m2_subset_1 B tptp.k1_numbers tptp.k5_numbers) (=> (not (tptp.v1_xboole_0 (tptp.k1_funct_1 A B))) (forall ((C $$unsorted)) (=> (tptp.m2_subset_1 C tptp.k1_numbers tptp.k5_numbers) (not (and (not (tptp.r1_xreal_0 B C)) (tptp.v1_xboole_0 (tptp.k1_funct_1 A C)))))))))))) (forall ((A $$unsorted)) (=> (tptp.m1_pboole A tptp.k5_numbers) (forall ((B $$unsorted)) (=> (tptp.m1_pboole B tptp.k5_numbers) (= (= B (tptp.k4_triang_1 A)) (forall ((C $$unsorted)) (=> (tptp.m2_subset_1 C tptp.k1_numbers tptp.k5_numbers) (= (tptp.k1_funct_1 B C) (tptp.k1_funct_2 (tptp.k1_funct_1 A (tptp.k1_nat_1 C tptp.np__1)) (tptp.k1_funct_1 A C)))))))))) (forall ((A $$unsorted)) (=> (tptp.m2_subset_1 A tptp.k1_numbers tptp.k5_numbers) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k2_finseq_1 (tptp.k1_nat_1 A tptp.np__1)))) (let ((_let_2 (tptp.k2_finseq_1 A))) (=> (tptp.m2_fraenkel B _let_2 _let_1 (tptp.k1_fraenkel _let_2 _let_1)) (= (tptp.k5_triang_1 A B) B))))))) true (forall ((A $$unsorted)) (=> (tptp.l1_triang_1 A) (= (tptp.v3_triang_1 A) (tptp.v1_triang_1 (tptp.u1_triang_1 A))))) (forall ((A $$unsorted)) (=> (and (tptp.v3_triang_1 A) (tptp.l1_triang_1 A)) (forall ((B $$unsorted)) (=> (tptp.m2_subset_1 B tptp.k1_numbers tptp.k5_numbers) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_funct_1 (tptp.u1_triang_1 A) (tptp.k1_nat_1 B tptp.np__1))) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_funct_1 tptp.k6_triang_1 B)) (=> (not (= (tptp.k1_funct_1 (tptp.u1_triang_1 A) (tptp.k1_nat_1 B tptp.np__1)) tptp.k1_xboole_0)) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.k1_funct_1 (tptp.u1_triang_1 A) B)) (= (= E (tptp.k7_triang_1 A B C D)) (forall ((F $$unsorted)) (=> (and (tptp.v1_relat_1 F) (tptp.v1_funct_1 F)) (forall ((G $$unsorted)) (=> (and (tptp.v1_relat_1 G) (tptp.v1_funct_1 G)) (=> (and (= F (tptp.k1_funct_1 (tptp.u2_triang_1 A) B)) (= G (tptp.k1_funct_1 F D))) (= E (tptp.k1_funct_1 G C))))))))))))))))))) (=> (and (tptp.p1_s1_triang_1 tptp.f1_s1_triang_1) (forall ((A $$unsorted)) (=> (tptp.m2_subset_1 A tptp.k1_numbers tptp.k5_numbers) (=> (tptp.p1_s1_triang_1 (tptp.k1_nat_1 A tptp.np__1)) (or (tptp.r1_xreal_0 tptp.f1_s1_triang_1 A) (tptp.p1_s1_triang_1 A)))))) (forall ((A $$unsorted)) (=> (tptp.m2_subset_1 A tptp.k1_numbers tptp.k5_numbers) (=> (tptp.r1_xreal_0 A tptp.f1_s1_triang_1) (tptp.p1_s1_triang_1 A))))) (=> (and (tptp.v1_finset_1 tptp.f2_s2_triang_1) (tptp.p1_s2_triang_1 (tptp.k1_subset_1 tptp.f1_s2_triang_1)) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.f1_s2_triang_1) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 tptp.f1_s2_triang_1)) (=> (and (tptp.r2_hidden A tptp.f2_s2_triang_1) (tptp.r1_tarski B tptp.f2_s2_triang_1) (tptp.p1_s2_triang_1 B)) (tptp.p1_s2_triang_1 (tptp.k2_xboole_0 B (tptp.k1_tarski A))))))))) (tptp.p1_s2_triang_1 tptp.f2_s2_triang_1)) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.k5_finsub_1 A)))) (forall ((C $$unsorted)) (=> (tptp.m1_triang_1 C A B) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 A)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.k5_finsub_1 A)))) (exists ((C $$unsorted)) (tptp.m1_triang_1 C A B)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.k5_finsub_1 A)))) (forall ((C $$unsorted)) (= (tptp.m1_triang_1 C A B) (tptp.m1_subset_1 C B))))) true (exists ((A $$unsorted)) (tptp.l1_triang_1 A)) (forall ((A $$unsorted)) (=> (tptp.l1_triang_1 A) (=> (tptp.v2_triang_1 A) (= A (tptp.g1_triang_1 (tptp.u1_triang_1 A) (tptp.u2_triang_1 A)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k1_triang_1 A B C))) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v1_relat_2 B) (tptp.v4_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 (tptp.k1_zfmisc_1 A))) (and (tptp.v1_relat_2 _let_1) (tptp.v4_relat_2 _let_1) (tptp.v8_relat_2 _let_1) (tptp.v1_partfun1 _let_1 C C) (tptp.m2_relset_1 _let_1 C C))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v1_relat_2 B) (tptp.v4_relat_2 B) (tptp.v8_relat_2 B) (tptp.v1_partfun1 B A A) (tptp.m1_relset_1 B A A) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 A))) (= (tptp.k1_triang_1 A B C) (tptp.k2_wellord1 B C)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_finset_1 B) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (tptp.v1_relat_2 C) (tptp.v4_relat_2 C) (tptp.v8_relat_2 C) (tptp.v1_partfun1 C A A) (tptp.m1_relset_1 C A A)) (tptp.m2_finseq_1 (tptp.k2_triang_1 A B C) A))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.l1_orders_2 A)) (tptp.m1_subset_1 (tptp.k3_triang_1 A) (tptp.k1_zfmisc_1 (tptp.k5_finsub_1 (tptp.u1_struct_0 A)))))) (forall ((A $$unsorted)) (=> (tptp.m1_pboole A tptp.k5_numbers) (tptp.m1_pboole (tptp.k4_triang_1 A) tptp.k5_numbers))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.m1_subset_1 A tptp.k5_numbers) (tptp.m1_subset_1 B (tptp.k1_fraenkel (tptp.k2_finseq_1 A) (tptp.k2_finseq_1 (tptp.k1_nat_1 A tptp.np__1))))) (tptp.m2_finseq_1 (tptp.k5_triang_1 A B) tptp.k1_numbers))) (tptp.m1_pboole tptp.k6_triang_1 tptp.k5_numbers) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.u1_triang_1 A))) (=> (and (tptp.v3_triang_1 A) (tptp.l1_triang_1 A) (tptp.m1_subset_1 B tptp.k5_numbers) (tptp.m1_subset_1 C (tptp.k1_funct_1 _let_1 (tptp.k1_nat_1 B tptp.np__1))) (tptp.m1_subset_1 D (tptp.k1_funct_1 tptp.k6_triang_1 B))) (tptp.m1_subset_1 (tptp.k7_triang_1 A B C D) (tptp.k1_funct_1 _let_1 B))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k8_triang_1 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.l1_orders_2 A)) (and (tptp.v2_triang_1 _let_1) (tptp.v3_triang_1 _let_1) (tptp.l1_triang_1 _let_1))))) (forall ((A $$unsorted)) (=> (tptp.l1_triang_1 A) (tptp.m1_pboole (tptp.u1_triang_1 A) tptp.k5_numbers))) (forall ((A $$unsorted)) (=> (tptp.l1_triang_1 A) (tptp.m3_pboole (tptp.u2_triang_1 A) tptp.k5_numbers tptp.k6_triang_1 (tptp.k4_triang_1 (tptp.u1_triang_1 A))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.g1_triang_1 A B))) (=> (and (tptp.m1_pboole A tptp.k5_numbers) (tptp.m3_pboole B tptp.k5_numbers tptp.k6_triang_1 (tptp.k4_triang_1 A))) (and (tptp.v2_triang_1 _let_1) (tptp.l1_triang_1 _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.m1_pboole A tptp.k5_numbers) (tptp.m3_pboole B tptp.k5_numbers tptp.k6_triang_1 (tptp.k4_triang_1 A))) (forall ((C $$unsorted) (D $$unsorted)) (=> (= (tptp.g1_triang_1 A B) (tptp.g1_triang_1 C D)) (and (= A C) (= B D)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.l1_orders_2 A)) (= (tptp.k3_triang_1 A) (tptp.a_1_0_triang_1 A)))) (forall ((A $$unsorted)) (=> (tptp.m1_pboole A tptp.k5_numbers) (= (= A tptp.k6_triang_1) (forall ((B $$unsorted)) (=> (tptp.m2_subset_1 B tptp.k1_numbers tptp.k5_numbers) (= (tptp.k1_funct_1 A B) (tptp.a_1_1_triang_1 B))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (tptp.v2_triang_1 B) (tptp.v3_triang_1 B) (tptp.l1_triang_1 B)) (= (= B (tptp.k8_triang_1 A)) (and (= (tptp.k1_funct_1 (tptp.u1_triang_1 B) tptp.np__0) (tptp.k1_tarski tptp.k1_xboole_0)) (forall ((C $$unsorted)) (=> (tptp.m2_subset_1 C tptp.k1_numbers tptp.k5_numbers) (=> (not (tptp.r1_xreal_0 C tptp.np__0)) (= (tptp.k1_funct_1 (tptp.u1_triang_1 B) C) (tptp.a_2_0_triang_1 A C))))) (forall ((C $$unsorted)) (=> (tptp.m2_subset_1 C tptp.k1_numbers tptp.k5_numbers) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_funct_1 tptp.k6_triang_1 C)) (forall ((E $$unsorted)) (let ((_let_1 (tptp.k1_funct_1 (tptp.u1_triang_1 B) (tptp.k1_nat_1 C tptp.np__1)))) (=> (tptp.m1_subset_1 E _let_1) (=> (tptp.r2_hidden E _let_1) (forall ((F $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.k2_triang_1 _let_1 F (tptp.u1_orders_2 A)))) (=> (and (not (tptp.v1_xboole_0 F)) (tptp.m1_triang_1 F _let_1 (tptp.k3_triang_1 A))) (=> (= _let_2 E) (= (tptp.k7_triang_1 B C E D) (tptp.k5_relat_1 D _let_2))))))))))))))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.l1_orders_2 B)) (= (tptp.r2_hidden A (tptp.a_1_0_triang_1 B)) (exists ((C $$unsorted)) (and (tptp.m1_subset_1 C (tptp.k5_finsub_1 (tptp.u1_struct_0 B))) (= A C) (tptp.r3_orders_1 (tptp.u1_orders_2 B) C)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m2_subset_1 B tptp.k1_numbers tptp.k5_numbers) (= (tptp.r2_hidden A (tptp.a_1_1_triang_1 B)) (exists ((C $$unsorted)) (let ((_let_1 (tptp.k2_finseq_1 (tptp.k1_nat_1 B tptp.np__1)))) (let ((_let_2 (tptp.k2_finseq_1 B))) (and (tptp.m2_fraenkel C _let_2 _let_1 (tptp.k1_fraenkel _let_2 _let_1)) (= A C) (tptp.v1_goboard1 (tptp.k5_triang_1 B C))))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.l1_orders_2 B) (tptp.m2_subset_1 C tptp.k1_numbers tptp.k5_numbers)) (= (tptp.r2_hidden A (tptp.a_2_0_triang_1 B C)) (exists ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (and (not (tptp.v1_xboole_0 D)) (tptp.m1_triang_1 D _let_1 (tptp.k3_triang_1 B)) (= A (tptp.k2_triang_1 _let_1 D (tptp.u1_orders_2 B))) (= (tptp.k1_card_1 D) C))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k1_pboole A))) (and (tptp.v1_relat_1 _let_1) (tptp.v3_relat_1 _let_1) (tptp.v1_funct_1 _let_1) (tptp.v1_funcop_1 _let_1)))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k2_funct_4 A))) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_funcop_1 A)) (and (tptp.v1_relat_1 _let_1) (tptp.v1_funct_1 _let_1) (tptp.v1_funcop_1 _let_1))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k6_altcat_2 A))) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v2_altcat_1 _let_1) (tptp.v6_altcat_1 _let_1) (tptp.v11_altcat_1 _let_1) (tptp.v12_altcat_1 _let_1))))) (exists ((A $$unsorted)) (and (tptp.l1_altcat_1 A) (not (tptp.v3_struct_0 A)) (tptp.v1_altcat_1 A))) (forall ((A $$unsorted)) (let ((_let_1 (not (tptp.v3_struct_0 A)))) (=> (tptp.l2_altcat_1 A) (=> (and _let_1 (tptp.v12_altcat_1 A)) (and _let_1 (tptp.v1_altcat_2 A)))))) (exists ((A $$unsorted)) (and (tptp.l1_altcat_1 A) (not (tptp.v3_struct_0 A)) (tptp.v1_altcat_2 A))) (exists ((A $$unsorted)) (and (tptp.l2_altcat_1 A) (not (tptp.v3_struct_0 A)) (tptp.v1_altcat_2 A))) (and (tptp.v3_struct_0 tptp.k7_altcat_2) _let_13) (exists ((A $$unsorted)) (and (tptp.l2_altcat_1 A) (tptp.v3_struct_0 A) (tptp.v6_altcat_1 A))) (forall ((A $$unsorted)) (=> (tptp.l2_altcat_1 A) (exists ((B $$unsorted)) (and (tptp.m1_altcat_2 B A) (tptp.v6_altcat_1 B))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k8_altcat_2 A B))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l2_altcat_1 A) (tptp.m1_subset_1 B (tptp.u1_struct_0 A))) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v2_altcat_1 _let_1) (tptp.v6_altcat_1 _let_1))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l2_altcat_1 A)) (exists ((B $$unsorted)) (and (tptp.m1_altcat_2 B A) (not (tptp.v3_struct_0 B)) (tptp.v2_altcat_1 B) (tptp.v6_altcat_1 B))))) (forall ((A $$unsorted)) (=> (tptp.l2_altcat_1 A) (exists ((B $$unsorted)) (and (tptp.m1_altcat_2 B A) (tptp.v6_altcat_1 B) (tptp.v2_altcat_2 B A))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l2_altcat_1 A)) (exists ((B $$unsorted)) (and (tptp.m1_altcat_2 B A) (not (tptp.v3_struct_0 B)) (tptp.v6_altcat_1 B) (tptp.v2_altcat_2 B A))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k8_altcat_2 A B))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_altcat_1 A) (tptp.v11_altcat_1 A) (tptp.v12_altcat_1 A) (tptp.l2_altcat_1 A) (tptp.m1_subset_1 B (tptp.u1_struct_0 A))) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v2_altcat_1 _let_1) (tptp.v6_altcat_1 _let_1) (tptp.v2_altcat_2 _let_1 A) (tptp.v3_altcat_2 _let_1 A))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_altcat_1 A) (tptp.v11_altcat_1 A) (tptp.v12_altcat_1 A) (tptp.l2_altcat_1 A)) (exists ((B $$unsorted)) (and (tptp.m1_altcat_2 B A) (not (tptp.v3_struct_0 B)) (tptp.v6_altcat_1 B) (tptp.v2_altcat_2 B A) (tptp.v3_altcat_2 B A))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_altcat_1 A) (tptp.l2_altcat_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_altcat_2 B A) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_altcat_2 B A)) (tptp.v2_altcat_1 B)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_altcat_1 A) (tptp.v11_altcat_1 A) (tptp.l2_altcat_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (not (tptp.v3_struct_0 B)))) (=> (tptp.m1_altcat_2 B A) (=> (and _let_1 (tptp.v2_altcat_1 B)) (and _let_1 (tptp.v11_altcat_1 B)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_altcat_1 A) (tptp.v12_altcat_1 A) (tptp.l2_altcat_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (not (tptp.v3_struct_0 B)))) (=> (tptp.m1_altcat_2 B A) (=> (and _let_1 (tptp.v2_altcat_1 B) (tptp.v3_altcat_2 B A)) (and _let_1 (tptp.v12_altcat_1 B) (tptp.v1_altcat_2 B)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_altcat_1 A) (tptp.v11_altcat_1 A) (tptp.v12_altcat_1 A) (tptp.l2_altcat_1 A)) (exists ((B $$unsorted)) (and (tptp.m1_altcat_2 B A) (not (tptp.v3_struct_0 B)) (tptp.v2_altcat_1 B) (tptp.v11_altcat_1 B) (tptp.v12_altcat_1 B) (tptp.v1_altcat_2 B) (tptp.v3_altcat_2 B A))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (= (tptp.k15_funct_3 (tptp.k2_funcop_1 A C) (tptp.k2_funcop_1 B D)) (tptp.k2_funcop_1 (tptp.k2_zfmisc_1 A B) (tptp.k4_tarski C D)))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (= (tptp.k2_funct_4 (tptp.k5_relat_1 A B)) (tptp.k5_relat_1 (tptp.k2_funct_4 A) B)))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (forall ((C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (= (tptp.k2_funct_4 (tptp.k5_relat_1 (tptp.k15_funct_3 B C) A)) (tptp.k5_relat_1 (tptp.k15_funct_3 C B) (tptp.k2_funct_4 A))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m1_pboole C A) (forall ((D $$unsorted)) (=> (tptp.m1_pboole D A) (=> (tptp.r1_pzfmisc1 A B C) (forall ((E $$unsorted)) (=> (tptp.m3_pboole E A B C) (forall ((F $$unsorted)) (=> (tptp.m3_pboole F A C D) (tptp.m3_pboole (tptp.k13_pboole E F) A B 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_pboole D B) (forall ((E $$unsorted)) (=> (tptp.m1_pboole E B) (forall ((F $$unsorted)) (=> (tptp.m3_pboole F B D E) (tptp.m3_pboole (tptp.k7_pboole A B C F) A (tptp.k7_pboole A B C D) (tptp.k7_pboole A B C E)))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (=> (tptp.m1_pboole C (tptp.k2_zfmisc_1 A B)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D A) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E B) (= (tptp.k1_binop_1 (tptp.k18_pralg_1 A B C) E D) (tptp.k1_binop_1 C D E)))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (= (tptp.r1_altcat_2 A B) (and (tptp.r1_tarski (tptp.k1_relat_1 A) (tptp.k1_relat_1 B)) (forall ((C $$unsorted)) (=> (tptp.r2_hidden C (tptp.k1_relat_1 A)) (tptp.r1_tarski (tptp.k1_funct_1 A C) (tptp.k1_funct_1 B C)))))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.m1_pboole C A) (forall ((D $$unsorted)) (=> (tptp.m1_pboole D B) (= (tptp.r2_altcat_2 A B C D) (and (tptp.r1_tarski A B) (forall ((E $$unsorted)) (=> (tptp.r2_hidden E A) (tptp.r1_tarski (tptp.k1_funct_1 C E) (tptp.k1_funct_1 D E)))))))))) true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.m1_pboole C A) (forall ((D $$unsorted)) (=> (tptp.m1_pboole D B) (=> (and (tptp.r2_altcat_2 A B C D) (tptp.r2_altcat_2 B A D C)) (= C D)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (tptp.m1_pboole D A) (forall ((E $$unsorted)) (=> (tptp.m1_pboole E B) (forall ((F $$unsorted)) (=> (tptp.m1_pboole F C) (=> (and (tptp.r2_altcat_2 A B D E) (tptp.r2_altcat_2 B C E F)) (tptp.r2_altcat_2 A C D F)))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m1_pboole C A) (= (tptp.r2_altcat_2 A A B C) (tptp.r2_pboole 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 $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_cat_1 A)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u2_cat_1 A))) (=> (tptp.m1_subset_1 D (tptp.u1_cat_1 A)) (tptp.r1_tarski (tptp.k12_mcart_1 _let_1 _let_1 (tptp.k6_cat_1 A C D) (tptp.k6_cat_1 A 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.u1_cat_1 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_cat_1 A)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u2_cat_1 A))) (=> (tptp.m1_subset_1 D (tptp.u1_cat_1 A)) (tptp.r1_tarski (tptp.k9_relat_1 (tptp.u5_cat_1 A) (tptp.k12_mcart_1 _let_1 _let_1 (tptp.k6_cat_1 A C D) (tptp.k6_cat_1 A B C))) (tptp.k6_cat_1 A B D))))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_cat_1 A) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_cat_1 A))) (=> (tptp.m1_pboole B (tptp.k2_zfmisc_1 _let_1 _let_1)) (= (= B (tptp.k4_altcat_2 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)) (= (tptp.k1_binop_1 B C D) (tptp.k6_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)) (tptp.r2_hidden (tptp.k10_cat_1 A B) (tptp.k1_binop_1 (tptp.k4_altcat_2 A) B B)))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k4_altcat_2 A))) (let ((_let_2 (tptp.u1_cat_1 A))) (=> (tptp.m3_pboole B (tptp.k3_zfmisc_1 _let_2 _let_2 _let_2) (tptp.k3_altcat_1 _let_2 _let_1 _let_1) (tptp.k2_altcat_1 _let_2 _let_1)) (= (= B (tptp.k5_altcat_2 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 $$unsorted)) (let ((_let_1 (tptp.k4_altcat_2 A))) (let ((_let_2 (tptp.u1_cat_1 A))) (=> (tptp.m1_subset_1 E _let_2) (= (tptp.k4_altcat_1 _let_2 _let_1 B C D E) (tptp.k7_relat_1 (tptp.u5_cat_1 A) (tptp.k2_zfmisc_1 (tptp.k1_binop_1 _let_1 D E) (tptp.k1_binop_1 _let_1 C D))))))))))))))))))) (forall ((A $$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 $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_cat_1 A)) (not (and (not (= (tptp.k6_cat_1 A B C) tptp.k1_xboole_0)) (not (= (tptp.k6_cat_1 A C D) tptp.k1_xboole_0)) (not (forall ((E $$unsorted)) (=> (tptp.m1_cat_1 E A B C) (forall ((F $$unsorted)) (=> (tptp.m1_cat_1 F A C D) (= (tptp.k1_binop_1 (tptp.k4_altcat_1 (tptp.u1_cat_1 A) (tptp.k4_altcat_2 A) (tptp.k5_altcat_2 A) B C D) F E) (tptp.k9_cat_1 A B C D E F))))))))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A)) (tptp.v3_altcat_1 (tptp.k5_altcat_2 A) (tptp.u1_cat_1 A) (tptp.k4_altcat_2 A)))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k4_altcat_2 A))) (let ((_let_2 (tptp.u1_cat_1 A))) (let ((_let_3 (tptp.k5_altcat_2 A))) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A)) (and (tptp.v5_altcat_1 _let_3 _let_2 _let_1) (tptp.v4_altcat_1 _let_3 _let_2 _let_1))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A)) (= (tptp.k6_altcat_2 A) (tptp.g2_altcat_1 (tptp.u1_cat_1 A) (tptp.k4_altcat_2 A) (tptp.k5_altcat_2 A))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A)) (tptp.v11_altcat_1 (tptp.k6_altcat_2 A)))) (forall ((A $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A)) (tptp.v12_altcat_1 (tptp.k6_altcat_2 A)))) (forall ((A $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A)) (tptp.v2_altcat_1 (tptp.k6_altcat_2 A)))) (forall ((A $$unsorted)) (=> (tptp.l1_altcat_1 A) (= (tptp.v1_altcat_2 A) (forall ((B $$unsorted)) (not (and (tptp.r2_hidden B (tptp.u1_struct_0 A)) (= (tptp.k1_binop_1 (tptp.u1_altcat_1 A) B B) tptp.k1_xboole_0))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_altcat_1 A)) (= (tptp.v1_altcat_2 A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (not (= (tptp.k1_altcat_1 A B B) tptp.k1_xboole_0))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_altcat_1 A) (tptp.l2_altcat_1 A)) (= (tptp.v11_altcat_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)) (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F (tptp.k1_altcat_1 A B C)) (forall ((G $$unsorted)) (=> (tptp.m1_subset_1 G (tptp.k1_altcat_1 A C D)) (forall ((H $$unsorted)) (let ((_let_1 (tptp.k1_altcat_1 A D E))) (=> (tptp.m1_subset_1 H _let_1) (not (and (not (= (tptp.k1_altcat_1 A B C) tptp.k1_xboole_0)) (not (= (tptp.k1_altcat_1 A C D) tptp.k1_xboole_0)) (not (= _let_1 tptp.k1_xboole_0)) (not (= (tptp.k5_altcat_1 A B C E F (tptp.k5_altcat_1 A C D E G H)) (tptp.k5_altcat_1 A B D E (tptp.k5_altcat_1 A B C D F G) H))))))))))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l2_altcat_1 A)) (= (tptp.v12_altcat_1 A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (and (not (= (tptp.k1_altcat_1 A B B) tptp.k1_xboole_0)) (exists ((C $$unsorted)) (and (tptp.m1_subset_1 C (tptp.k1_altcat_1 A B B)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.k1_altcat_1 A D B)) (forall ((F $$unsorted)) (let ((_let_1 (tptp.k1_altcat_1 A B D))) (=> (tptp.m1_subset_1 F _let_1) (and (=> (not (= (tptp.k1_altcat_1 A D B) tptp.k1_xboole_0)) (= (tptp.k5_altcat_1 A D B B E C) E)) (=> (not (= _let_1 tptp.k1_xboole_0)) (= (tptp.k5_altcat_1 A B B D C F) F)))))))))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v6_altcat_1 A) (tptp.l2_altcat_1 A)) (= (= A tptp.k7_altcat_2) (tptp.v1_xboole_0 (tptp.u1_struct_0 A))))) (forall ((A $$unsorted)) (=> (and (tptp.v3_struct_0 A) (tptp.v6_altcat_1 A) (tptp.l2_altcat_1 A)) (= A tptp.k7_altcat_2))) (forall ((A $$unsorted)) (=> (tptp.l2_altcat_1 A) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.u1_struct_0 B))) (=> (tptp.l2_altcat_1 B) (= (tptp.m1_altcat_2 B A) (and (tptp.r1_tarski _let_2 _let_1) (tptp.r2_altcat_2 (tptp.k2_zfmisc_1 _let_2 _let_2) (tptp.k2_zfmisc_1 _let_1 _let_1) (tptp.u1_altcat_1 B) (tptp.u1_altcat_1 A)) (tptp.r2_altcat_2 (tptp.k3_zfmisc_1 _let_2 _let_2 _let_2) (tptp.k3_zfmisc_1 _let_1 _let_1 _let_1) (tptp.u2_altcat_1 B) (tptp.u2_altcat_1 A)))))))))) (forall ((A $$unsorted)) (=> (tptp.l2_altcat_1 A) (tptp.m1_altcat_2 A A))) (forall ((A $$unsorted)) (=> (tptp.l2_altcat_1 A) (forall ((B $$unsorted)) (=> (tptp.l2_altcat_1 B) (forall ((C $$unsorted)) (=> (tptp.l2_altcat_1 C) (=> (and (tptp.m1_altcat_2 A B) (tptp.m1_altcat_2 B C)) (tptp.m1_altcat_2 A C)))))))) (forall ((A $$unsorted)) (=> (tptp.l2_altcat_1 A) (forall ((B $$unsorted)) (=> (tptp.l2_altcat_1 B) (=> (and (tptp.m1_altcat_2 A B) (tptp.m1_altcat_2 B A)) (= (tptp.g2_altcat_1 (tptp.u1_struct_0 A) (tptp.u1_altcat_1 A) (tptp.u2_altcat_1 A)) (tptp.g2_altcat_1 (tptp.u1_struct_0 B) (tptp.u1_altcat_1 B) (tptp.u2_altcat_1 B)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l2_altcat_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (and (tptp.v6_altcat_1 C) (tptp.m1_altcat_2 C A)) (= (= C (tptp.k8_altcat_2 A B)) (and (= (tptp.u1_struct_0 C) (tptp.k1_struct_0 A B)) (= (tptp.u1_altcat_1 C) (tptp.k9_funct_2 B B (tptp.k1_altcat_1 A B B))) (= (tptp.u2_altcat_1 C) (tptp.k7_cat_1 (tptp.k3_mcart_1 B B B) (tptp.k4_altcat_1 (tptp.u1_struct_0 A) (tptp.u1_altcat_1 A) (tptp.u2_altcat_1 A) B B B))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l2_altcat_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 (tptp.k8_altcat_2 A B))) (= C B))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_altcat_1 A) (tptp.l2_altcat_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_altcat_1 B) (tptp.m1_altcat_2 B A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 C))) (let ((_let_2 (tptp.u1_struct_0 B))) (=> (and (not (tptp.v3_struct_0 C)) (tptp.v2_altcat_1 C) (tptp.m1_altcat_2 C A)) (=> (and (tptp.r1_tarski _let_2 _let_1) (tptp.r2_altcat_2 (tptp.k2_zfmisc_1 _let_2 _let_2) (tptp.k2_zfmisc_1 _let_1 _let_1) (tptp.u1_altcat_1 B) (tptp.u1_altcat_1 C))) (tptp.m1_altcat_2 B C)))))))))) (forall ((A $$unsorted)) (=> (tptp.l2_altcat_1 A) (forall ((B $$unsorted)) (=> (tptp.m1_altcat_2 B A) (= (tptp.v2_altcat_2 B A) (= (tptp.u1_altcat_1 B) (tptp.k1_realset1 (tptp.u1_altcat_1 A) (tptp.u1_struct_0 B)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v12_altcat_1 A) (tptp.l2_altcat_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.v3_altcat_2 B A))) (let ((_let_2 (tptp.v3_struct_0 B))) (=> (tptp.m1_altcat_2 B A) (and (=> (not _let_2) (= _let_1 (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 A)) (=> (= C D) (tptp.r2_hidden (tptp.k8_altcat_1 A D) (tptp.k1_altcat_1 B C C))))))))) (=> _let_2 _let_1)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_altcat_1 A) (tptp.l2_altcat_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_altcat_1 A))) (let ((_let_2 (tptp.u1_struct_0 A))) (let ((_let_3 (tptp.u1_altcat_1 B))) (let ((_let_4 (tptp.u1_struct_0 B))) (=> (tptp.m1_altcat_2 B A) (=> (and (= _let_4 _let_2) (= _let_3 _let_1)) (= (tptp.g2_altcat_1 _let_4 _let_3 (tptp.u2_altcat_1 B)) (tptp.g2_altcat_1 _let_2 _let_1 (tptp.u2_altcat_1 A)))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_altcat_1 A) (tptp.l2_altcat_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_altcat_1 B) (tptp.m1_altcat_2 B A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_altcat_1 C))) (let ((_let_2 (tptp.u1_struct_0 C))) (let ((_let_3 (tptp.u1_altcat_1 B))) (let ((_let_4 (tptp.u1_struct_0 B))) (=> (and (not (tptp.v3_struct_0 C)) (tptp.v2_altcat_1 C) (tptp.m1_altcat_2 C A)) (=> (and (= _let_4 _let_2) (= _let_3 _let_1)) (= (tptp.g2_altcat_1 _let_4 _let_3 (tptp.u2_altcat_1 B)) (tptp.g2_altcat_1 _let_2 _let_1 (tptp.u2_altcat_1 C)))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_altcat_1 A) (tptp.l2_altcat_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.u1_struct_0 B))) (=> (and (tptp.v2_altcat_2 B A) (tptp.m1_altcat_2 B A)) (=> (= _let_2 _let_1) (= (tptp.g2_altcat_1 _let_2 (tptp.u1_altcat_1 B) (tptp.u2_altcat_1 B)) (tptp.g2_altcat_1 _let_1 (tptp.u1_altcat_1 A) (tptp.u2_altcat_1 A)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l2_altcat_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_altcat_2 B A) (tptp.m1_altcat_2 B A)) (forall ((C $$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 $$unsorted)) (=> (tptp.m1_subset_1 F (tptp.u1_struct_0 B)) (=> (and (= C E) (= D F)) (= (tptp.k1_altcat_1 A C D) (tptp.k1_altcat_1 B E F))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l2_altcat_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.m1_altcat_2 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 B)) (tptp.m1_subset_1 C (tptp.u1_struct_0 A)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_altcat_1 A) (tptp.l2_altcat_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_altcat_2 B A) (tptp.m1_altcat_2 B A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 C))) (let ((_let_2 (tptp.u1_struct_0 B))) (=> (and (not (tptp.v3_struct_0 C)) (tptp.v2_altcat_2 C A) (tptp.m1_altcat_2 C A)) (=> (= _let_2 _let_1) (= (tptp.g2_altcat_1 _let_2 (tptp.u1_altcat_1 B) (tptp.u2_altcat_1 B)) (tptp.g2_altcat_1 _let_1 (tptp.u1_altcat_1 C) (tptp.u2_altcat_1 C)))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l2_altcat_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.m1_altcat_2 B A)) (forall ((C $$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 $$unsorted)) (=> (tptp.m1_subset_1 F (tptp.u1_struct_0 B)) (=> (and (= C E) (= D F)) (tptp.r1_tarski (tptp.k1_altcat_1 B E F) (tptp.k1_altcat_1 A C D))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_altcat_1 A) (tptp.l2_altcat_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_altcat_1 B) (tptp.m1_altcat_2 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 B)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 B)) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.u1_struct_0 B)) (not (and (not (= (tptp.k1_altcat_1 B C D) tptp.k1_xboole_0)) (not (= (tptp.k1_altcat_1 B D E) tptp.k1_xboole_0)) (exists ((F $$unsorted)) (and (tptp.m1_subset_1 F (tptp.u1_struct_0 A)) (exists ((G $$unsorted)) (and (tptp.m1_subset_1 G (tptp.u1_struct_0 A)) (exists ((H $$unsorted)) (and (tptp.m1_subset_1 H (tptp.u1_struct_0 A)) (= F C) (= G D) (= H E) (exists ((I $$unsorted)) (and (tptp.m1_subset_1 I (tptp.k1_altcat_1 A F G)) (exists ((J $$unsorted)) (and (tptp.m1_subset_1 J (tptp.k1_altcat_1 A G H)) (exists ((K $$unsorted)) (and (tptp.m1_subset_1 K (tptp.k1_altcat_1 B C D)) (exists ((L $$unsorted)) (and (tptp.m1_subset_1 L (tptp.k1_altcat_1 B D E)) (= I K) (= J L) (not (= (tptp.k5_altcat_1 A F G H I J) (tptp.k5_altcat_1 B C D E K L))))))))))))))))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l2_altcat_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.m1_altcat_2 B A)) (forall ((C $$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 $$unsorted)) (=> (tptp.m1_subset_1 F (tptp.u1_struct_0 B)) (=> (and (= C E) (= D F)) (or (= (tptp.k1_altcat_1 B E F) tptp.k1_xboole_0) (forall ((G $$unsorted)) (=> (tptp.m1_subset_1 G (tptp.k1_altcat_1 B E F)) (tptp.m1_subset_1 G (tptp.k1_altcat_1 A C D)))))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_altcat_1 A) (tptp.v11_altcat_1 A) (tptp.v12_altcat_1 A) (tptp.l2_altcat_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_altcat_1 B) (tptp.v3_altcat_2 B A) (tptp.m1_altcat_2 B A)) (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 A)) (=> (= C D) (= (tptp.k8_altcat_1 B C) (tptp.k8_altcat_1 A D))))))))))) (forall ((A $$unsorted)) (=> (tptp.l2_altcat_1 A) (forall ((B $$unsorted)) (=> (tptp.m1_altcat_2 B A) (tptp.l2_altcat_1 B))))) (forall ((A $$unsorted)) (=> (tptp.l2_altcat_1 A) (exists ((B $$unsorted)) (tptp.m1_altcat_2 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_altcat_2 A A))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.m1_pboole C A) (tptp.m1_pboole D B)) (tptp.r2_altcat_2 A B C C))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.m1_pboole C A) (tptp.m1_pboole D B)) (= (tptp.r2_altcat_2 A B C D) (tptp.r1_altcat_2 C D)))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A A))) (=> (tptp.m1_pboole B _let_1) (tptp.m1_pboole (tptp.k1_altcat_2 A B) _let_1)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B (tptp.k2_zfmisc_1 A A)) (= (tptp.k1_altcat_2 A B) (tptp.k2_funct_4 B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.m1_pboole B _let_1) (tptp.m1_pboole C _let_1) (tptp.m3_pboole D _let_1 B C)) (tptp.m3_pboole (tptp.k2_altcat_2 A B C D) _let_1 (tptp.k1_altcat_2 A B) (tptp.k1_altcat_2 A C))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.m1_pboole B _let_1) (tptp.m1_pboole C _let_1) (tptp.m3_pboole D _let_1 B C)) (= (tptp.k2_altcat_2 A B C D) (tptp.k2_funct_4 D))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k3_altcat_2 A B C))) (=> (and (tptp.v1_funcop_1 B) (tptp.m1_pboole B A) (tptp.v1_funcop_1 C) (tptp.m1_pboole C A)) (and (tptp.v1_funcop_1 _let_1) (tptp.m1_pboole _let_1 A))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funcop_1 B) (tptp.m1_pboole B A) (tptp.v1_funcop_1 C) (tptp.m1_pboole C A)) (= (tptp.k3_altcat_2 A B C) (tptp.k13_pboole B C)))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.u1_cat_1 A))) (=> (tptp.l1_cat_1 A) (tptp.m1_pboole (tptp.k4_altcat_2 A) (tptp.k2_zfmisc_1 _let_1 _let_1))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k4_altcat_2 A))) (let ((_let_2 (tptp.u1_cat_1 A))) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A)) (tptp.m3_pboole (tptp.k5_altcat_2 A) (tptp.k3_zfmisc_1 _let_2 _let_2 _let_2) (tptp.k3_altcat_1 _let_2 _let_1 _let_1) (tptp.k2_altcat_1 _let_2 _let_1)))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k6_altcat_2 A))) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v6_altcat_1 _let_1) (tptp.l2_altcat_1 _let_1))))) (and _let_13 (tptp.l2_altcat_1 tptp.k7_altcat_2)) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k8_altcat_2 A B))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l2_altcat_1 A) (tptp.m1_subset_1 B (tptp.u1_struct_0 A))) (and (tptp.v6_altcat_1 _let_1) (tptp.m1_altcat_2 _let_1 A))))) (and (tptp.v1_relat_1 tptp.a_0_0_altcat_2) (tptp.v1_funct_1 tptp.a_0_0_altcat_2)) (=> (= tptp.f2_s2_altcat_2 tptp.a_0_1_altcat_2) (= (tptp.k1_relat_1 tptp.f2_s2_altcat_2) tptp.a_0_2_altcat_2)) (=> (and (= tptp.f2_s3_altcat_2 tptp.a_0_3_altcat_2) (tptp.p1_s3_altcat_2 tptp.f3_s3_altcat_2)) (= (tptp.k1_funct_1 tptp.f2_s3_altcat_2 tptp.f3_s3_altcat_2) (tptp.f4_s3_altcat_2 tptp.f3_s3_altcat_2))) (forall ((A $$unsorted)) (= (tptp.r2_hidden A tptp.a_0_0_altcat_2) (exists ((B $$unsorted)) (and (tptp.m1_subset_1 B tptp.f1_s1_altcat_2) (= A (tptp.k4_tarski B (tptp.f2_s1_altcat_2 B))) (tptp.p1_s1_altcat_2 B))))) (forall ((A $$unsorted)) (= (tptp.r2_hidden A tptp.a_0_1_altcat_2) (exists ((B $$unsorted)) (and (tptp.m1_subset_1 B tptp.f1_s2_altcat_2) (= A (tptp.k4_tarski B (tptp.f3_s2_altcat_2 B))) (tptp.p1_s2_altcat_2 B))))) (forall ((A $$unsorted)) (= (tptp.r2_hidden A tptp.a_0_2_altcat_2) (exists ((B $$unsorted)) (and (tptp.m1_subset_1 B tptp.f1_s2_altcat_2) (= A B) (tptp.p1_s2_altcat_2 B))))) (forall ((A $$unsorted)) (= (tptp.r2_hidden A tptp.a_0_3_altcat_2) (exists ((B $$unsorted)) (and (tptp.m1_subset_1 B tptp.f1_s3_altcat_2) (= A (tptp.k4_tarski B (tptp.f4_s3_altcat_2 B))) (tptp.p1_s3_altcat_2 B))))) (exists ((A $$unsorted)) (and (tptp.l1_orders_2 A) (not (tptp.v3_struct_0 A)) (tptp.v1_orders_2 A) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_orders_3 A))) (exists ((A $$unsorted)) (and (tptp.l1_orders_2 A) (tptp.v3_struct_0 A) (tptp.v1_orders_2 A) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_orders_3 A))) (and (tptp.v3_struct_0 _let_12) (tptp.v1_orders_2 _let_12) (tptp.v2_orders_2 _let_12) (tptp.v3_orders_2 _let_12) (tptp.v4_orders_2 _let_12)) (forall ((A $$unsorted)) (let ((_let_1 (tptp.u1_orders_2 A))) (=> (and (tptp.v3_struct_0 A) (tptp.l1_orders_2 A)) (and (tptp.v1_relat_1 _let_1) (tptp.v1_funct_1 _let_1) (tptp.v2_funct_1 _let_1) (tptp.v1_xboole_0 _let_1))))) (forall ((A $$unsorted)) (=> (tptp.l1_orders_2 A) (=> (tptp.v3_struct_0 A) (tptp.v1_orders_3 A)))) (exists ((A $$unsorted)) (and (tptp.l1_orders_2 A) (not (tptp.v3_struct_0 A)) (tptp.v1_orders_2 A) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (not (tptp.v3_orders_3 A)))) (exists ((A $$unsorted)) (and (tptp.l1_orders_2 A) (not (tptp.v3_struct_0 A)) (tptp.v1_orders_2 A) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_orders_3 A) (tptp.v3_orders_3 A))) (exists ((A $$unsorted)) (and (not (tptp.v1_xboole_0 A)) (tptp.v4_orders_3 A))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (not (tptp.v1_xboole_0 (tptp.k1_orders_3 A A))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v4_orders_3 A)) (not (tptp.v1_xboole_0 (tptp.k2_orders_3 A))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.l1_orders_2 A) (not (tptp.v3_struct_0 B)) (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.l1_orders_2 B)) (tptp.v1_fraenkel (tptp.k1_orders_3 A B)))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k4_orders_3 A))) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v4_orders_3 A)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v2_altcat_1 _let_1) (tptp.v6_altcat_1 _let_1))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k4_orders_3 A))) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v4_orders_3 A)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v2_altcat_1 _let_1) (tptp.v6_altcat_1 _let_1) (tptp.v11_altcat_1 _let_1) (tptp.v12_altcat_1 _let_1))))) (forall ((A $$unsorted)) (=> (tptp.l1_orders_2 A) (= (tptp.v1_orders_3 A) (= (tptp.u1_orders_2 A) (tptp.k6_partfun1 (tptp.u1_struct_0 A)))))) (forall ((A $$unsorted)) (=> (tptp.l1_orders_2 A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (tptp.v2_orders_3 B A) (exists ((C $$unsorted)) (and (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (exists ((D $$unsorted)) (let ((_let_1 (tptp.u1_orders_2 A))) (let ((_let_2 (tptp.u1_struct_0 A))) (and (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 _let_2)) (not (= C tptp.k1_xboole_0)) (not (= D tptp.k1_xboole_0)) (= B (tptp.k4_subset_1 _let_2 C D)) (tptp.r1_xboole_0 C D) (= _let_1 (tptp.k2_xboole_0 (tptp.k2_wellord1 _let_1 C) (tptp.k2_wellord1 _let_1 D)))))))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_orders_2 A) (= (tptp.v3_orders_3 A) (tptp.v2_orders_3 (tptp.k2_pre_topc A) A)))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v1_orders_3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (tptp.r1_orders_2 A B C) (= B C)))))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k1_tarski B))) (=> (and (tptp.v1_relat_2 A) (tptp.v4_relat_2 A) (tptp.v8_relat_2 A) (tptp.v1_partfun1 A _let_1 _let_1) (tptp.m2_relset_1 A _let_1 _let_1)) (= A (tptp.k6_partfun1 _let_1))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (=> (and (tptp.v2_orders_2 A) (= (tptp.k2_pre_topc A) (tptp.k1_struct_0 A B))) (tptp.v1_orders_3 A)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (not (and (= (tptp.k2_pre_topc A) (tptp.k1_tarski B)) (tptp.v3_orders_3 A)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_orders_3 A) (tptp.l1_orders_2 A)) (=> (not (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)))))) (tptp.v3_orders_3 A)))) (forall ((A $$unsorted)) (= (tptp.v4_orders_3 A) (forall ((B $$unsorted)) (=> (tptp.r2_hidden B A) (and (not (tptp.v3_struct_0 B)) (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.l1_orders_2 B)))))) (forall ((A $$unsorted)) (=> (tptp.l1_orders_2 A) (forall ((B $$unsorted)) (=> (tptp.l1_orders_2 B) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.m2_relset_1 C _let_2 _let_1)) (= (tptp.v5_orders_3 C A B) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.u1_struct_0 A)) (=> (tptp.r1_orders_2 A D E) (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F (tptp.u1_struct_0 B)) (forall ((G $$unsorted)) (=> (tptp.m1_subset_1 G (tptp.u1_struct_0 B)) (=> (and (= F (tptp.k1_funct_1 C D)) (= G (tptp.k1_funct_1 C E))) (tptp.r1_orders_2 B F G)))))))))))))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_orders_2 A) (forall ((B $$unsorted)) (=> (tptp.l1_orders_2 B) (forall ((C $$unsorted)) (= (= C (tptp.k1_orders_3 A B)) (forall ((D $$unsorted)) (= (tptp.r2_hidden D C) (exists ((E $$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.m2_relset_1 E _let_2 _let_1) (= D E) (tptp.r2_hidden E (tptp.k1_funct_2 _let_2 _let_1)) (tptp.v5_orders_3 E A B))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.l1_orders_2 B)) (forall ((C $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.l1_orders_2 C)) (forall ((D $$unsorted)) (=> (and (tptp.v1_relat_1 D) (tptp.v1_funct_1 D)) (forall ((E $$unsorted)) (=> (and (tptp.v1_relat_1 E) (tptp.v1_funct_1 E)) (=> (and (tptp.r2_hidden D (tptp.k1_orders_3 A B)) (tptp.r2_hidden E (tptp.k1_orders_3 B C))) (tptp.r2_hidden (tptp.k5_relat_1 D E) (tptp.k1_orders_3 A C))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (tptp.r2_hidden (tptp.k6_partfun1 (tptp.u1_struct_0 A)) (tptp.k1_orders_3 A A)))) (forall ((A $$unsorted) (B $$unsorted)) (= (= B (tptp.k2_orders_3 A)) (forall ((C $$unsorted)) (= (tptp.r2_hidden C B) (exists ((D $$unsorted)) (and (tptp.l1_struct_0 D) (tptp.r2_hidden D A) (= C (tptp.u1_struct_0 D)))))))) (forall ((A $$unsorted)) (=> (tptp.l1_struct_0 A) (= (tptp.k2_orders_3 (tptp.k1_tarski A)) (tptp.k1_tarski (tptp.u1_struct_0 A))))) (forall ((A $$unsorted)) (=> (tptp.l1_struct_0 A) (forall ((B $$unsorted)) (=> (tptp.l1_struct_0 B) (= (tptp.k2_orders_3 (tptp.k2_tarski A B)) (tptp.k2_tarski (tptp.u1_struct_0 A) (tptp.u1_struct_0 B))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v4_orders_3 A)) (forall ((B $$unsorted)) (=> (tptp.m1_orders_3 B A) (forall ((C $$unsorted)) (=> (tptp.m1_orders_3 C A) (tptp.r1_tarski (tptp.k1_orders_3 B C) (tptp.k1_ens_1 (tptp.k2_orders_3 A))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_orders_2 A) (forall ((B $$unsorted)) (=> (tptp.l1_orders_2 B) (tptp.r1_tarski (tptp.k1_orders_3 A B) (tptp.k1_funct_2 (tptp.u1_struct_0 A) (tptp.u1_struct_0 B))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v4_orders_3 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_cat_1 B) (tptp.v2_cat_1 B) (tptp.v1_cat_5 B) (tptp.l1_cat_1 B)) (= (= B (tptp.k3_orders_3 A)) (and (= (tptp.u1_cat_1 B) A) (forall ((C $$unsorted)) (=> (tptp.m1_orders_3 C A) (forall ((D $$unsorted)) (=> (tptp.m1_orders_3 D A) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.k1_ens_1 (tptp.k2_orders_3 A))) (=> (tptp.r2_hidden E (tptp.k1_orders_3 C D)) (tptp.m1_subset_1 (tptp.k4_tarski (tptp.k4_tarski C D) E) (tptp.u2_cat_1 B))))))))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u2_cat_1 B)) (exists ((D $$unsorted)) (and (tptp.m1_orders_3 D A) (exists ((E $$unsorted)) (and (tptp.m1_orders_3 E A) (exists ((F $$unsorted)) (and (tptp.m1_subset_1 F (tptp.k1_ens_1 (tptp.k2_orders_3 A))) (= C (tptp.k4_tarski (tptp.k4_tarski D E) F)) (tptp.r2_hidden F (tptp.k1_orders_3 D E)))))))))) (forall ((C $$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_orders_3 E A) (forall ((F $$unsorted)) (=> (tptp.m1_orders_3 F A) (forall ((G $$unsorted)) (=> (tptp.m1_orders_3 G A) (forall ((H $$unsorted)) (=> (tptp.m1_subset_1 H (tptp.k1_ens_1 (tptp.k2_orders_3 A))) (forall ((I $$unsorted)) (=> (tptp.m1_subset_1 I (tptp.k1_ens_1 (tptp.k2_orders_3 A))) (=> (and (= C (tptp.k4_tarski (tptp.k4_tarski E F) H)) (= D (tptp.k4_tarski (tptp.k4_tarski F G) I))) (= (tptp.k4_cat_1 B C D) (tptp.k4_tarski (tptp.k4_tarski E G) (tptp.k5_relat_1 H I)))))))))))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v4_orders_3 A)) (forall ((B $$unsorted)) (=> (and (tptp.v6_altcat_1 B) (tptp.l2_altcat_1 B)) (= (= B (tptp.k4_orders_3 A)) (and (= (tptp.u1_struct_0 B) A) (forall ((C $$unsorted)) (=> (tptp.m1_orders_3 C A) (forall ((D $$unsorted)) (=> (tptp.m1_orders_3 D A) (and (= (tptp.k1_binop_1 (tptp.u1_altcat_1 B) C D) (tptp.k1_orders_3 C D)) (forall ((E $$unsorted)) (=> (tptp.m1_orders_3 E A) (forall ((F $$unsorted)) (=> (tptp.m1_orders_3 F A) (forall ((G $$unsorted)) (=> (tptp.m1_orders_3 G A) (= (tptp.k1_multop_1 (tptp.u2_altcat_1 B) E F G) (tptp.k6_altcat_1 (tptp.k1_orders_3 E F) (tptp.k1_orders_3 F G)))))))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v4_orders_3 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 (tptp.k4_orders_3 A))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 (tptp.k4_orders_3 A))) (forall ((D $$unsorted)) (=> (tptp.m1_orders_3 D A) (forall ((E $$unsorted)) (=> (tptp.m1_orders_3 E A) (=> (and (= B D) (= C E)) (tptp.r1_tarski (tptp.k1_altcat_1 (tptp.k4_orders_3 A) B C) (tptp.k1_fraenkel (tptp.u1_struct_0 D) (tptp.u1_struct_0 E)))))))))))))) (=> (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.f1_s1_orders_3) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.f1_s1_orders_3) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C tptp.f1_s1_orders_3) (forall ((D $$unsorted)) (=> (and (tptp.v1_relat_1 D) (tptp.v1_funct_1 D)) (forall ((E $$unsorted)) (=> (and (tptp.v1_relat_1 E) (tptp.v1_funct_1 E)) (=> (and (tptp.r2_hidden D (tptp.f2_s1_orders_3 A B)) (tptp.r2_hidden E (tptp.f2_s1_orders_3 B C))) (tptp.r2_hidden (tptp.k5_relat_1 D E) (tptp.f2_s1_orders_3 A C))))))))))))) (exists ((A $$unsorted)) (and (tptp.v6_altcat_1 A) (tptp.l2_altcat_1 A) (= (tptp.u1_struct_0 A) tptp.f1_s1_orders_3) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.f1_s1_orders_3) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C tptp.f1_s1_orders_3) (and (= (tptp.k1_binop_1 (tptp.u1_altcat_1 A) B C) (tptp.f2_s1_orders_3 B C)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D tptp.f1_s1_orders_3) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E tptp.f1_s1_orders_3) (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F tptp.f1_s1_orders_3) (= (tptp.k1_multop_1 (tptp.u2_altcat_1 A) D E F) (tptp.k6_altcat_1 (tptp.f2_s1_orders_3 D E) (tptp.f2_s1_orders_3 E F))))))))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v6_altcat_1 A) (tptp.l2_altcat_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v6_altcat_1 B) (tptp.l2_altcat_1 B)) (=> (and (= (tptp.u1_struct_0 A) tptp.f1_s2_orders_3) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C tptp.f1_s2_orders_3) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D tptp.f1_s2_orders_3) (and (= (tptp.k1_binop_1 (tptp.u1_altcat_1 A) C D) (tptp.f2_s2_orders_3 C D)) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E tptp.f1_s2_orders_3) (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F tptp.f1_s2_orders_3) (forall ((G $$unsorted)) (=> (tptp.m1_subset_1 G tptp.f1_s2_orders_3) (= (tptp.k1_multop_1 (tptp.u2_altcat_1 A) E F G) (tptp.k6_altcat_1 (tptp.f2_s2_orders_3 E F) (tptp.f2_s2_orders_3 F G)))))))))))))) (= (tptp.u1_struct_0 B) tptp.f1_s2_orders_3) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C tptp.f1_s2_orders_3) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D tptp.f1_s2_orders_3) (and (= (tptp.k1_binop_1 (tptp.u1_altcat_1 B) C D) (tptp.f2_s2_orders_3 C D)) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E tptp.f1_s2_orders_3) (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F tptp.f1_s2_orders_3) (forall ((G $$unsorted)) (=> (tptp.m1_subset_1 G tptp.f1_s2_orders_3) (= (tptp.k1_multop_1 (tptp.u2_altcat_1 B) E F G) (tptp.k6_altcat_1 (tptp.f2_s2_orders_3 E F) (tptp.f2_s2_orders_3 F G))))))))))))))) (= A B)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v4_orders_3 A)) (forall ((B $$unsorted)) (=> (tptp.m1_orders_3 B A) (and (not (tptp.v3_struct_0 B)) (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.l1_orders_2 B)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v4_orders_3 A)) (exists ((B $$unsorted)) (tptp.m1_orders_3 B A)))) (forall ((A $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v4_orders_3 A)) (forall ((B $$unsorted)) (= (tptp.m1_orders_3 B A) (tptp.m1_subset_1 B A))))) true true (forall ((A $$unsorted)) (let ((_let_1 (tptp.k3_orders_3 A))) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v4_orders_3 A)) (and (tptp.v1_cat_1 _let_1) (tptp.v2_cat_1 _let_1) (tptp.v1_cat_5 _let_1) (tptp.l1_cat_1 _let_1))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k4_orders_3 A))) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v4_orders_3 A)) (and (tptp.v6_altcat_1 _let_1) (tptp.l2_altcat_1 _let_1))))) (forall ((A $$unsorted)) (=> (tptp.v1_xboole_0 A) (tptp.v1_fraenkel A))) (exists ((A $$unsorted)) (and (tptp.v1_xboole_0 A) (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v2_funct_1 A) (tptp.v1_finset_1 A) (tptp.v1_fraenkel A))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k2_tarski A B))) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (and (not (tptp.v1_xboole_0 _let_1)) (tptp.v1_finset_1 _let_1) (tptp.v1_fraenkel _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k1_closure2 A B))) (=> (tptp.m1_pboole B A) (and (not (tptp.v1_xboole_0 _let_1)) (tptp.v1_fraenkel _let_1) (tptp.v1_pralg_2 _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (exists ((C $$unsorted)) (and (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.k1_closure2 A B))) (not (tptp.v1_xboole_0 C)) (tptp.v1_fraenkel C) (tptp.v1_pralg_2 C))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (exists ((C $$unsorted)) (and (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.k1_closure2 A B))) (tptp.v1_xboole_0 C) (tptp.v1_relat_1 C) (tptp.v1_funct_1 C) (tptp.v2_funct_1 C) (tptp.v1_finset_1 C) (tptp.v1_fraenkel C))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k3_closure2 A))) (=> (and (tptp.v1_xboole_0 A) (tptp.v1_fraenkel 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_fraenkel _let_1))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k4_closure2 A B C))) (=> (and (tptp.m1_pboole B A) (tptp.v1_xboole_0 C) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.k1_closure2 A B)))) (and (tptp.v1_relat_1 _let_1) (tptp.v3_relat_1 _let_1) (tptp.v1_funct_1 _let_1) (tptp.v1_pre_circ _let_1 A))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k4_closure2 A B C))) (=> (and (tptp.m1_pboole B A) (not (tptp.v1_xboole_0 C)) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.k1_closure2 A B)))) (and (tptp.v1_relat_1 _let_1) (tptp.v2_relat_1 _let_1) (tptp.v1_funct_1 _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (exists ((C $$unsorted)) (and (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.k1_closure2 A B))) (not (tptp.v1_xboole_0 C)) (tptp.v1_fraenkel C) (tptp.v1_pralg_2 C) (tptp.v1_closure2 C A B) (tptp.v2_closure2 C A B) (tptp.v3_closure2 C A B) (tptp.v4_closure2 C A B) (tptp.v5_closure2 C A B) (tptp.v6_closure2 C A B))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.k1_closure2 A B))) (=> (tptp.v2_closure2 C A B) (and (tptp.v1_fraenkel C) (tptp.v1_closure2 C A B))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.k1_closure2 A B))) (=> (tptp.v4_closure2 C A B) (and (tptp.v1_fraenkel C) (tptp.v3_closure2 C A B))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.k1_closure2 A B))) (=> (tptp.v4_closure2 C A B) (and (tptp.v1_fraenkel C) (tptp.v5_closure2 C A B))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.k1_closure2 A B))) (=> (tptp.v5_closure2 C A B) (and (not (tptp.v1_xboole_0 C)) (tptp.v1_fraenkel C))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.k1_closure2 A B))) (=> (tptp.v2_closure2 C A B) (and (tptp.v1_fraenkel C) (tptp.v6_closure2 C A B))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.k1_closure2 A B))) (=> (tptp.v6_closure2 C A B) (and (not (tptp.v1_xboole_0 C)) (tptp.v1_fraenkel C))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (exists ((C $$unsorted)) (let ((_let_1 (tptp.k6_closure2 A B))) (and (tptp.m1_relset_1 C _let_1 _let_1) (not (tptp.v1_xboole_0 C)) (tptp.v1_relat_1 C) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_1 _let_1) (tptp.v1_partfun1 C _let_1 _let_1) (tptp.v7_closure2 C A B) (tptp.v8_closure2 C A B) (tptp.v9_closure2 C A B) (tptp.v10_closure2 C A B)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k6_closure2 A B))) (let ((_let_2 (tptp.v1_funct_2 C _let_1 _let_1))) (let ((_let_3 (tptp.v1_funct_1 C))) (=> (tptp.m1_relset_1 C _let_1 _let_1) (=> (and _let_3 _let_2 (tptp.v10_closure2 C A B)) (and (not (tptp.v1_xboole_0 C)) _let_3 _let_2 (tptp.v1_partfun1 C _let_1 _let_1) (tptp.v8_closure2 C A B)))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_struct_0 A) (exists ((B $$unsorted)) (and (tptp.l1_closure2 B A) (tptp.v11_closure2 B A))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k9_closure2 A B))) (=> (and (tptp.l1_struct_0 A) (tptp.l2_msualg_1 B A)) (and (tptp.v11_closure2 _let_1 A) (tptp.v12_closure2 _let_1 A) (tptp.v13_closure2 _let_1 A) (tptp.v14_closure2 _let_1 A) (tptp.v15_closure2 _let_1 A) (tptp.v16_closure2 _let_1 A) (tptp.v17_closure2 _let_1 A))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k9_closure2 A B))) (=> (and (tptp.l1_struct_0 A) (tptp.v5_msualg_1 B A) (tptp.l2_msualg_1 B A)) (and (tptp.v5_msualg_1 _let_1 A) (tptp.v11_closure2 _let_1 A) (tptp.v12_closure2 _let_1 A) (tptp.v13_closure2 _let_1 A) (tptp.v14_closure2 _let_1 A) (tptp.v15_closure2 _let_1 A) (tptp.v16_closure2 _let_1 A) (tptp.v17_closure2 _let_1 A))))) (forall ((A $$unsorted)) (=> (tptp.l1_struct_0 A) (exists ((B $$unsorted)) (and (tptp.l1_closure2 B A) (tptp.v5_msualg_1 B A) (tptp.v11_closure2 B A) (tptp.v12_closure2 B A) (tptp.v13_closure2 B A) (tptp.v14_closure2 B A) (tptp.v15_closure2 B A) (tptp.v16_closure2 B A) (tptp.v17_closure2 B A))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.u1_closure2 A B))) (=> (and (tptp.l1_struct_0 A) (tptp.v12_closure2 B A) (tptp.l1_closure2 B A)) (and (tptp.v1_fraenkel _let_1) (tptp.v1_closure2 _let_1 (tptp.u1_struct_0 A) (tptp.u4_msualg_1 A B)))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.u4_msualg_1 A B))) (let ((_let_2 (tptp.u1_struct_0 A))) (let ((_let_3 (tptp.u1_closure2 A B))) (=> (and (tptp.l1_struct_0 A) (tptp.v13_closure2 B A) (tptp.l1_closure2 B A)) (and (not (tptp.v1_xboole_0 _let_3)) (tptp.v1_fraenkel _let_3) (tptp.v1_closure2 _let_3 _let_2 _let_1) (tptp.v2_closure2 _let_3 _let_2 _let_1) (tptp.v6_closure2 _let_3 _let_2 _let_1))))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.u1_closure2 A B))) (=> (and (tptp.l1_struct_0 A) (tptp.v14_closure2 B A) (tptp.l1_closure2 B A)) (and (tptp.v1_fraenkel _let_1) (tptp.v3_closure2 _let_1 (tptp.u1_struct_0 A) (tptp.u4_msualg_1 A B)))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.u4_msualg_1 A B))) (let ((_let_2 (tptp.u1_struct_0 A))) (let ((_let_3 (tptp.u1_closure2 A B))) (=> (and (tptp.l1_struct_0 A) (tptp.v15_closure2 B A) (tptp.l1_closure2 B A)) (and (not (tptp.v1_xboole_0 _let_3)) (tptp.v1_fraenkel _let_3) (tptp.v3_closure2 _let_3 _let_2 _let_1) (tptp.v4_closure2 _let_3 _let_2 _let_1) (tptp.v5_closure2 _let_3 _let_2 _let_1))))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.u1_closure2 A B))) (=> (and (tptp.l1_struct_0 A) (tptp.v16_closure2 B A) (tptp.l1_closure2 B A)) (and (not (tptp.v1_xboole_0 _let_1)) (tptp.v1_fraenkel _let_1) (tptp.v5_closure2 _let_1 (tptp.u1_struct_0 A) (tptp.u4_msualg_1 A B)))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.u1_closure2 A B))) (=> (and (tptp.l1_struct_0 A) (tptp.v17_closure2 B A) (tptp.l1_closure2 B A)) (and (not (tptp.v1_xboole_0 _let_1)) (tptp.v1_fraenkel _let_1) (tptp.v6_closure2 _let_1 (tptp.u1_struct_0 A) (tptp.u4_msualg_1 A B)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.g1_closure2 A B C))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (tptp.l1_struct_0 A) (tptp.v2_relat_1 B) (tptp.m1_pboole B _let_2) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.k1_closure2 _let_2 B)))) (and (tptp.v5_msualg_1 _let_1 A) (tptp.v11_closure2 _let_1 A)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.u4_msualg_1 A B))) (let ((_let_2 (tptp.g1_closure2 A _let_1 C))) (let ((_let_3 (tptp.u1_struct_0 A))) (=> (and (tptp.l1_struct_0 A) (tptp.l2_msualg_1 B A) (tptp.v1_closure2 C _let_3 _let_1) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.k1_closure2 _let_3 _let_1)))) (and (tptp.v11_closure2 _let_2 A) (tptp.v12_closure2 _let_2 A))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.u4_msualg_1 A B))) (let ((_let_2 (tptp.g1_closure2 A _let_1 C))) (let ((_let_3 (tptp.u1_struct_0 A))) (=> (and (tptp.l1_struct_0 A) (tptp.l2_msualg_1 B A) (tptp.v2_closure2 C _let_3 _let_1) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.k1_closure2 _let_3 _let_1)))) (and (tptp.v11_closure2 _let_2 A) (tptp.v12_closure2 _let_2 A) (tptp.v13_closure2 _let_2 A))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.u4_msualg_1 A B))) (let ((_let_2 (tptp.g1_closure2 A _let_1 C))) (let ((_let_3 (tptp.u1_struct_0 A))) (=> (and (tptp.l1_struct_0 A) (tptp.l2_msualg_1 B A) (tptp.v3_closure2 C _let_3 _let_1) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.k1_closure2 _let_3 _let_1)))) (and (tptp.v11_closure2 _let_2 A) (tptp.v14_closure2 _let_2 A))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.u4_msualg_1 A B))) (let ((_let_2 (tptp.g1_closure2 A _let_1 C))) (let ((_let_3 (tptp.u1_struct_0 A))) (=> (and (tptp.l1_struct_0 A) (tptp.l2_msualg_1 B A) (tptp.v4_closure2 C _let_3 _let_1) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.k1_closure2 _let_3 _let_1)))) (and (tptp.v11_closure2 _let_2 A) (tptp.v14_closure2 _let_2 A) (tptp.v15_closure2 _let_2 A))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.u4_msualg_1 A B))) (let ((_let_2 (tptp.g1_closure2 A _let_1 C))) (let ((_let_3 (tptp.u1_struct_0 A))) (=> (and (tptp.l1_struct_0 A) (tptp.l2_msualg_1 B A) (tptp.v5_closure2 C _let_3 _let_1) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.k1_closure2 _let_3 _let_1)))) (and (tptp.v11_closure2 _let_2 A) (tptp.v16_closure2 _let_2 A))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.u4_msualg_1 A B))) (let ((_let_2 (tptp.g1_closure2 A _let_1 C))) (let ((_let_3 (tptp.u1_struct_0 A))) (=> (and (tptp.l1_struct_0 A) (tptp.l2_msualg_1 B A) (tptp.v6_closure2 C _let_3 _let_1) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.k1_closure2 _let_3 _let_1)))) (and (tptp.v11_closure2 _let_2 A) (tptp.v17_closure2 _let_2 A))))))) (forall ((A $$unsorted)) (=> (tptp.l1_struct_0 A) (forall ((B $$unsorted)) (=> (tptp.l1_closure2 B A) (=> (tptp.v13_closure2 B A) (tptp.v12_closure2 B A)))))) (forall ((A $$unsorted)) (=> (tptp.l1_struct_0 A) (forall ((B $$unsorted)) (=> (tptp.l1_closure2 B A) (=> (tptp.v15_closure2 B A) (tptp.v14_closure2 B A)))))) (forall ((A $$unsorted)) (=> (tptp.l1_struct_0 A) (forall ((B $$unsorted)) (=> (tptp.l1_closure2 B A) (=> (tptp.v15_closure2 B A) (tptp.v16_closure2 B A)))))) (forall ((A $$unsorted)) (=> (tptp.l1_struct_0 A) (forall ((B $$unsorted)) (=> (tptp.l1_closure2 B A) (=> (tptp.v13_closure2 B A) (tptp.v17_closure2 B A)))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B A) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k6_partfun1 A))) (=> (tptp.m1_subset_1 C A) (=> (tptp.r1_tarski B C) (tptp.r1_tarski (tptp.k8_funct_2 A A _let_1 B) (tptp.k8_funct_2 A A _let_1 C)))))))))) true (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m4_pboole C A B) (tptp.r1_tarski (tptp.k2_relat_1 C) (tptp.k3_tarski (tptp.k2_relat_1 (tptp.k7_mssubfam A B)))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (= (= C (tptp.k1_closure2 A B)) (forall ((D $$unsorted)) (= (tptp.r2_hidden D C) (tptp.m4_pboole D A B))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.k1_closure2 A B))) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k1_closure2 A B))) (let ((_let_2 (tptp.k1_zfmisc_1 _let_1))) (=> (tptp.m1_subset_1 D _let_2) (tptp.m1_subset_1 (tptp.k4_subset_1 _let_1 C D) _let_2))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.k1_closure2 A B))) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k1_closure2 A B))) (let ((_let_2 (tptp.k1_zfmisc_1 _let_1))) (=> (tptp.m1_subset_1 D _let_2) (tptp.m1_subset_1 (tptp.k5_subset_1 _let_1 C D) _let_2))))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.m1_pboole C A) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 (tptp.k1_closure2 A C)))) (=> (tptp.m1_subset_1 D _let_1) (tptp.m1_subset_1 (tptp.k4_xboole_0 D B) _let_1)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.k1_closure2 A B))) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k1_closure2 A B))) (let ((_let_2 (tptp.k1_zfmisc_1 _let_1))) (=> (tptp.m1_subset_1 D _let_2) (tptp.m1_subset_1 (tptp.k7_subset_1 _let_1 C D) _let_2))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m1_pboole C A) (=> (tptp.r2_pboole A B C) (tptp.m1_subset_1 (tptp.k1_tarski B) (tptp.k1_zfmisc_1 (tptp.k1_closure2 A C)))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m1_pboole C A) (forall ((D $$unsorted)) (=> (tptp.m1_pboole D A) (=> (and (tptp.r2_pboole A B C) (tptp.r2_pboole A D C)) (tptp.m1_subset_1 (tptp.k2_tarski B D) (tptp.k1_zfmisc_1 (tptp.k1_closure2 A C)))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m1_closure2 C A B (tptp.k2_closure2 A B)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k2_closure2 A B))) (=> (tptp.m1_closure2 D A B _let_1) (tptp.r2_hidden (tptp.k3_pboole A C D) _let_1)))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m1_closure2 C A B (tptp.k2_closure2 A B)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k2_closure2 A B))) (=> (tptp.m1_closure2 D A B _let_1) (tptp.r2_hidden (tptp.k2_pboole A C D) _let_1)))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m1_pboole C A) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k2_closure2 A C))) (=> (tptp.m1_closure2 D A C _let_1) (tptp.r2_hidden (tptp.k4_pboole A D B) _let_1)))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m1_closure2 C A B (tptp.k2_closure2 A B)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k2_closure2 A B))) (=> (tptp.m1_closure2 D A B _let_1) (tptp.r2_hidden (tptp.k5_pboole A C D) _let_1)))))))) true (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (and (not (tptp.v1_xboole_0 C)) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.k1_closure2 A B)))) (= (tptp.k1_relat_1 (tptp.k3_closure2 C)) A))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k4_closure2 A B C))) (let ((_let_2 (= C tptp.k1_xboole_0))) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.k1_closure2 A B))) (and (=> (not _let_2) (= _let_1 (tptp.k3_closure2 C))) (=> _let_2 (= _let_1 (tptp.k1_pboole A)))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (= (tptp.k1_relat_1 (tptp.k3_closure2 (tptp.k1_tarski A))) (tptp.k1_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)) (= (tptp.k1_relat_1 (tptp.k3_closure2 (tptp.k2_tarski A B))) (tptp.k3_xboole_0 (tptp.k1_relat_1 A) (tptp.k1_relat_1 B))))))) (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.k1_funct_1 (tptp.k3_closure2 (tptp.k1_tarski B)) A) (tptp.k1_tarski (tptp.k1_funct_1 B A)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.m1_pboole C B) (forall ((D $$unsorted)) (=> (and (tptp.v1_relat_1 D) (tptp.v1_funct_1 D)) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.k1_zfmisc_1 (tptp.k1_closure2 B C))) (=> (and (tptp.r2_hidden A B) (= E (tptp.k1_tarski D))) (= (tptp.k1_funct_1 (tptp.k4_closure2 B C E) A) (tptp.k1_tarski (tptp.k1_funct_1 D A)))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k3_closure2 (tptp.k2_tarski B C)))) (=> (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.k2_tarski (tptp.k1_funct_1 B A) (tptp.k1_funct_1 C A))))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.m1_pboole C B) (forall ((D $$unsorted)) (=> (and (tptp.v1_relat_1 D) (tptp.v1_funct_1 D)) (forall ((E $$unsorted)) (=> (and (tptp.v1_relat_1 E) (tptp.v1_funct_1 E)) (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F (tptp.k1_zfmisc_1 (tptp.k1_closure2 B C))) (=> (and (tptp.r2_hidden A B) (= F (tptp.k2_tarski D E))) (= (tptp.k1_funct_1 (tptp.k4_closure2 B C F) A) (tptp.k2_tarski (tptp.k1_funct_1 D A) (tptp.k1_funct_1 E A)))))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m1_pboole C A) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.k1_closure2 A B))) (=> (tptp.r2_hidden C D) (tptp.r1_pboole A C (tptp.k5_closure2 A B D))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m1_pboole C A) (forall ((D $$unsorted)) (=> (tptp.m1_pboole D A) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.k1_zfmisc_1 (tptp.k1_closure2 A B))) (=> (= E (tptp.k2_tarski C D)) (tptp.r6_pboole A (tptp.k2_mboolean A (tptp.k5_closure2 A B E)) (tptp.k2_pboole A C D))))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.k1_closure2 A B))) (forall ((D $$unsorted)) (=> (tptp.m1_closure2 D A B (tptp.k2_closure2 A B)) (forall ((E $$unsorted)) (=> (tptp.m1_closure2 E A B (tptp.k2_closure2 A B)) (=> (= C (tptp.k2_tarski D E)) (tptp.r6_pboole A (tptp.k6_mssubfam A B (tptp.k5_closure2 A B C)) (tptp.k3_pboole A D E))))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.k1_closure2 A B))) (forall ((D $$unsorted)) (=> (tptp.m4_pboole D A B) (=> (forall ((E $$unsorted)) (=> (tptp.m1_pboole E A) (=> (tptp.r2_hidden E C) (tptp.r2_pboole A D E)))) (tptp.r2_pboole A D (tptp.k6_mssubfam A B (tptp.k5_closure2 A B C)))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (tptp.r6_pboole A (tptp.k5_closure2 A B (tptp.k2_closure2 A B)) (tptp.k7_mssubfam A B)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.k1_closure2 A B))) (= (tptp.v1_closure2 C A B) (forall ((D $$unsorted)) (=> (tptp.m1_pboole D A) (forall ((E $$unsorted)) (=> (tptp.m1_pboole E A) (=> (and (tptp.r2_hidden D C) (tptp.r2_hidden E C)) (tptp.r2_hidden (tptp.k2_pboole A D E) C))))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.k1_closure2 A B))) (= (tptp.v2_closure2 C A B) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.k1_closure2 A B))) (=> (tptp.r1_tarski D C) (tptp.r2_hidden (tptp.k2_mboolean A (tptp.k5_closure2 A B D)) C))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.k1_closure2 A B))) (= (tptp.v3_closure2 C A B) (forall ((D $$unsorted)) (=> (tptp.m1_pboole D A) (forall ((E $$unsorted)) (=> (tptp.m1_pboole E A) (=> (and (tptp.r2_hidden D C) (tptp.r2_hidden E C)) (tptp.r2_hidden (tptp.k3_pboole A D E) C))))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.k1_closure2 A B))) (= (tptp.v4_closure2 C A B) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.k1_closure2 A B))) (=> (tptp.r1_tarski D C) (tptp.r2_hidden (tptp.k6_mssubfam A B (tptp.k5_closure2 A B D)) C))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.k1_closure2 A B))) (= (tptp.v5_closure2 C A B) (tptp.r2_hidden B C)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.k1_closure2 A B))) (= (tptp.v6_closure2 C A B) (tptp.r2_hidden (tptp.k1_pboole A) C)))))) true (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k6_closure2 A B))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_1 _let_1) (tptp.m2_relset_1 C _let_1 _let_1)) (= (tptp.v7_closure2 C A B) (forall ((D $$unsorted)) (=> (tptp.m1_closure2 D A B (tptp.k6_closure2 A B)) (tptp.r2_pboole A D (tptp.k7_closure2 A B C D)))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k6_closure2 A B))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_1 _let_1) (tptp.m2_relset_1 C _let_1 _let_1)) (= (tptp.v8_closure2 C A B) (forall ((D $$unsorted)) (=> (tptp.m1_closure2 D A B (tptp.k6_closure2 A B)) (forall ((E $$unsorted)) (=> (tptp.m1_closure2 E A B (tptp.k6_closure2 A B)) (=> (tptp.r2_pboole A D E) (tptp.r2_pboole A (tptp.k7_closure2 A B C D) (tptp.k7_closure2 A B C E))))))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k6_closure2 A B))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_1 _let_1) (tptp.m2_relset_1 C _let_1 _let_1)) (= (tptp.v9_closure2 C A B) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k7_closure2 A B C D))) (=> (tptp.m1_closure2 D A B (tptp.k6_closure2 A B)) (tptp.r6_pboole A _let_1 (tptp.k7_closure2 A B C _let_1))))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k6_closure2 A B))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_1 _let_1) (tptp.m2_relset_1 C _let_1 _let_1)) (= (tptp.v10_closure2 C A B) (forall ((D $$unsorted)) (=> (tptp.m1_closure2 D A B (tptp.k6_closure2 A B)) (forall ((E $$unsorted)) (=> (tptp.m1_closure2 E A B (tptp.k6_closure2 A B)) (= (tptp.k1_funct_1 C (tptp.k2_pboole A D E)) (tptp.k2_pboole A (tptp.k7_closure2 A B C D) (tptp.k7_closure2 A B C E))))))))))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k6_closure2 A B))) (let ((_let_2 (tptp.k6_partfun1 _let_1))) (=> (tptp.m1_pboole B A) (and (tptp.v1_funct_1 _let_2) (tptp.v1_funct_2 _let_2 _let_1 _let_1) (tptp.v7_closure2 _let_2 A B) (tptp.m2_relset_1 _let_2 _let_1 _let_1)))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k6_closure2 A B))) (let ((_let_2 (tptp.k6_partfun1 _let_1))) (=> (tptp.m1_pboole B A) (and (tptp.v1_funct_1 _let_2) (tptp.v1_funct_2 _let_2 _let_1 _let_1) (tptp.v8_closure2 _let_2 A B) (tptp.m2_relset_1 _let_2 _let_1 _let_1)))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k6_closure2 A B))) (let ((_let_2 (tptp.k6_partfun1 _let_1))) (=> (tptp.m1_pboole B A) (and (tptp.v1_funct_1 _let_2) (tptp.v1_funct_2 _let_2 _let_1 _let_1) (tptp.v9_closure2 _let_2 A B) (tptp.m2_relset_1 _let_2 _let_1 _let_1)))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k6_closure2 A B))) (let ((_let_2 (tptp.k6_partfun1 _let_1))) (=> (tptp.m1_pboole B A) (and (tptp.v1_funct_1 _let_2) (tptp.v1_funct_2 _let_2 _let_1 _let_1) (tptp.v10_closure2 _let_2 A B) (tptp.m2_relset_1 _let_2 _let_1 _let_1)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m1_closure2 C A B (tptp.k2_closure2 A B)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k6_closure2 A B))) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D _let_1 _let_1) (tptp.m2_relset_1 D _let_1 _let_1)) (=> (and (tptp.r6_pboole A C B) (tptp.v7_closure2 D A B)) (tptp.r6_pboole A C (tptp.k7_closure2 A B D C)))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k6_closure2 A B))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_1 _let_1) (tptp.m2_relset_1 C _let_1 _let_1)) (=> (and (tptp.v7_closure2 C A B) (forall ((D $$unsorted)) (=> (tptp.m1_closure2 D A B (tptp.k6_closure2 A B)) (tptp.r2_pboole A (tptp.k7_closure2 A B C D) D)))) (tptp.v9_closure2 C A B))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m1_closure2 C A B (tptp.k2_closure2 A B)) (forall ((D $$unsorted)) (=> (tptp.m1_closure2 D A B (tptp.k2_closure2 A B)) (forall ((E $$unsorted)) (let ((_let_1 (tptp.k6_closure2 A B))) (=> (and (tptp.v1_funct_1 E) (tptp.v1_funct_2 E _let_1 _let_1) (tptp.m2_relset_1 E _let_1 _let_1)) (forall ((F $$unsorted)) (=> (tptp.m1_closure2 F A B (tptp.k6_closure2 A B)) (=> (and (tptp.r6_pboole A F (tptp.k3_pboole A C D)) (tptp.v8_closure2 E A B)) (tptp.r2_pboole A (tptp.k7_closure2 A B E F) (tptp.k3_pboole A (tptp.k7_closure2 A B E C) (tptp.k7_closure2 A B E D))))))))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m1_closure2 C A B (tptp.k2_closure2 A B)) (forall ((D $$unsorted)) (=> (tptp.m1_closure2 D A B (tptp.k2_closure2 A B)) (forall ((E $$unsorted)) (let ((_let_1 (tptp.k6_closure2 A B))) (=> (and (tptp.v1_funct_1 E) (tptp.v1_funct_2 E _let_1 _let_1) (tptp.m2_relset_1 E _let_1 _let_1)) (forall ((F $$unsorted)) (=> (tptp.m1_closure2 F A B (tptp.k6_closure2 A B)) (=> (and (tptp.r6_pboole A F (tptp.k4_pboole A C D)) (tptp.v10_closure2 E A B)) (tptp.r2_pboole A (tptp.k4_pboole A (tptp.k7_closure2 A B E C) (tptp.k7_closure2 A B E D)) (tptp.k7_closure2 A B E F)))))))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k6_closure2 A B))) (=> (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 $$unsorted)) (let ((_let_1 (tptp.k6_closure2 A B))) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D _let_1 _let_1) (tptp.m2_relset_1 D _let_1 _let_1)) (=> (and (tptp.v7_closure2 C A B) (tptp.v7_closure2 D A B)) (tptp.v7_closure2 (tptp.k8_closure2 A B D C) A B)))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k6_closure2 A B))) (=> (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 $$unsorted)) (let ((_let_1 (tptp.k6_closure2 A B))) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D _let_1 _let_1) (tptp.m2_relset_1 D _let_1 _let_1)) (=> (and (tptp.v8_closure2 C A B) (tptp.v8_closure2 D A B)) (tptp.v8_closure2 (tptp.k8_closure2 A B D C) A B)))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k6_closure2 A B))) (=> (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 $$unsorted)) (let ((_let_1 (tptp.k8_closure2 A B D C))) (let ((_let_2 (tptp.k6_closure2 A B))) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D _let_2 _let_2) (tptp.m2_relset_1 D _let_2 _let_2)) (=> (and (tptp.v9_closure2 C A B) (tptp.v9_closure2 D A B) (= _let_1 (tptp.k8_closure2 A B C D))) (tptp.v9_closure2 _let_1 A B))))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k6_closure2 A B))) (=> (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 $$unsorted)) (let ((_let_1 (tptp.k6_closure2 A B))) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D _let_1 _let_1) (tptp.m2_relset_1 D _let_1 _let_1)) (=> (and (tptp.v10_closure2 C A B) (tptp.v10_closure2 D A B)) (tptp.v10_closure2 (tptp.k8_closure2 A B D C) A B)))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_struct_0 A) (forall ((B $$unsorted)) (=> (tptp.l1_closure2 B A) (= (tptp.v12_closure2 B A) (tptp.v1_closure2 (tptp.u1_closure2 A B) (tptp.u1_struct_0 A) (tptp.u4_msualg_1 A B))))))) (forall ((A $$unsorted)) (=> (tptp.l1_struct_0 A) (forall ((B $$unsorted)) (=> (tptp.l1_closure2 B A) (= (tptp.v13_closure2 B A) (tptp.v2_closure2 (tptp.u1_closure2 A B) (tptp.u1_struct_0 A) (tptp.u4_msualg_1 A B))))))) (forall ((A $$unsorted)) (=> (tptp.l1_struct_0 A) (forall ((B $$unsorted)) (=> (tptp.l1_closure2 B A) (= (tptp.v14_closure2 B A) (tptp.v3_closure2 (tptp.u1_closure2 A B) (tptp.u1_struct_0 A) (tptp.u4_msualg_1 A B))))))) (forall ((A $$unsorted)) (=> (tptp.l1_struct_0 A) (forall ((B $$unsorted)) (=> (tptp.l1_closure2 B A) (= (tptp.v15_closure2 B A) (tptp.v4_closure2 (tptp.u1_closure2 A B) (tptp.u1_struct_0 A) (tptp.u4_msualg_1 A B))))))) (forall ((A $$unsorted)) (=> (tptp.l1_struct_0 A) (forall ((B $$unsorted)) (=> (tptp.l1_closure2 B A) (= (tptp.v16_closure2 B A) (tptp.v5_closure2 (tptp.u1_closure2 A B) (tptp.u1_struct_0 A) (tptp.u4_msualg_1 A B))))))) (forall ((A $$unsorted)) (=> (tptp.l1_struct_0 A) (forall ((B $$unsorted)) (=> (tptp.l1_closure2 B A) (= (tptp.v17_closure2 B A) (tptp.v6_closure2 (tptp.u1_closure2 A B) (tptp.u1_struct_0 A) (tptp.u4_msualg_1 A B))))))) (forall ((A $$unsorted)) (=> (tptp.l1_struct_0 A) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u4_msualg_1 A B))) (=> (tptp.l2_msualg_1 B A) (= (tptp.k9_closure2 A B) (tptp.g1_closure2 A _let_1 (tptp.k6_closure2 (tptp.u1_struct_0 A) _let_1)))))))) (forall ((A $$unsorted)) (=> (tptp.l1_struct_0 A) (forall ((B $$unsorted)) (=> (and (tptp.v15_closure2 B A) (tptp.l1_closure2 B A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u4_msualg_1 A B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (tptp.m1_closure2 C _let_2 _let_1 (tptp.k6_closure2 _let_2 _let_1)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u4_msualg_1 A B))) (let ((_let_2 (tptp.u1_struct_0 A))) (let ((_let_3 (tptp.k6_closure2 _let_2 _let_1))) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D _let_3 _let_3) (tptp.m2_relset_1 D _let_3 _let_3)) (=> (and (tptp.r2_hidden C (tptp.u1_closure2 A B)) (forall ((E $$unsorted)) (let ((_let_1 (tptp.u4_msualg_1 A B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (tptp.m1_closure2 E _let_2 _let_1 (tptp.k6_closure2 _let_2 _let_1)) (tptp.r6_pboole _let_2 (tptp.k7_closure2 _let_2 _let_1 D E) (tptp.k11_closure2 A B E))))))) (tptp.r6_pboole _let_2 (tptp.k7_closure2 _let_2 _let_1 D C) C))))))))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_struct_0 A) (forall ((B $$unsorted)) (=> (and (tptp.v15_closure2 B A) (tptp.l1_closure2 B A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u4_msualg_1 A B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (tptp.m1_closure2 C _let_2 _let_1 (tptp.k6_closure2 _let_2 _let_1)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u4_msualg_1 A B))) (let ((_let_2 (tptp.u1_struct_0 A))) (let ((_let_3 (tptp.k6_closure2 _let_2 _let_1))) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D _let_3 _let_3) (tptp.m2_relset_1 D _let_3 _let_3)) (=> (and (tptp.r6_pboole _let_2 (tptp.k7_closure2 _let_2 _let_1 D C) C) (forall ((E $$unsorted)) (let ((_let_1 (tptp.u4_msualg_1 A B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (tptp.m1_closure2 E _let_2 _let_1 (tptp.k6_closure2 _let_2 _let_1)) (tptp.r6_pboole _let_2 (tptp.k7_closure2 _let_2 _let_1 D E) (tptp.k11_closure2 A B E))))))) (tptp.r2_hidden C (tptp.u1_closure2 A B)))))))))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_struct_0 A) (forall ((B $$unsorted)) (=> (and (tptp.v15_closure2 B A) (tptp.l1_closure2 B A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u4_msualg_1 A B))) (let ((_let_2 (tptp.u1_struct_0 A))) (let ((_let_3 (tptp.k6_closure2 _let_2 _let_1))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_3 _let_3) (tptp.m2_relset_1 C _let_3 _let_3)) (=> (forall ((D $$unsorted)) (let ((_let_1 (tptp.u4_msualg_1 A B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (tptp.m1_closure2 D _let_2 _let_1 (tptp.k6_closure2 _let_2 _let_1)) (tptp.r6_pboole _let_2 (tptp.k7_closure2 _let_2 _let_1 C D) (tptp.k11_closure2 A B D)))))) (and (tptp.v7_closure2 C _let_2 _let_1) (tptp.v8_closure2 C _let_2 _let_1) (tptp.v9_closure2 C _let_2 _let_1)))))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_struct_0 A) (forall ((B $$unsorted)) (=> (and (tptp.v15_closure2 B A) (tptp.l1_closure2 B A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u4_msualg_1 A B))) (let ((_let_2 (tptp.u1_struct_0 A))) (let ((_let_3 (tptp.k6_closure2 _let_2 _let_1))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_3 _let_3) (tptp.v7_closure2 C _let_2 _let_1) (tptp.v8_closure2 C _let_2 _let_1) (tptp.v9_closure2 C _let_2 _let_1) (tptp.m2_relset_1 C _let_3 _let_3)) (= (= C (tptp.k12_closure2 A B)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u4_msualg_1 A B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (tptp.m1_closure2 D _let_2 _let_1 (tptp.k6_closure2 _let_2 _let_1)) (tptp.r6_pboole _let_2 (tptp.k7_closure2 _let_2 _let_1 C D) (tptp.k11_closure2 A B D)))))))))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_struct_0 A) (forall ((B $$unsorted)) (=> (tptp.m1_pboole B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.k6_closure2 _let_1 B))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_2) (tptp.v7_closure2 C _let_1 B) (tptp.v8_closure2 C _let_1 B) (tptp.v9_closure2 C _let_1 B) (tptp.m2_relset_1 C _let_2 _let_2)) (= (tptp.k12_closure2 A (tptp.k10_closure2 A B C)) C))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_struct_0 A) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u4_msualg_1 A B))) (=> (and (tptp.v15_closure2 B A) (tptp.l1_closure2 B A)) (= (tptp.k10_closure2 A _let_1 (tptp.k12_closure2 A B)) (tptp.g1_closure2 A _let_1 (tptp.u1_closure2 A B)))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.m1_pboole B A) (not (tptp.v1_xboole_0 C)) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.k1_closure2 A B)))) (forall ((D $$unsorted)) (=> (tptp.m1_closure2 D A B C) (tptp.m4_pboole D A B))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.m1_pboole B A) (not (tptp.v1_xboole_0 C)) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.k1_closure2 A B)))) (exists ((D $$unsorted)) (tptp.m1_closure2 D A B C)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.m1_pboole B A) (not (tptp.v1_xboole_0 C)) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.k1_closure2 A B)))) (forall ((D $$unsorted)) (= (tptp.m1_closure2 D A B C) (tptp.m1_subset_1 D C))))) (forall ((A $$unsorted)) (=> (tptp.l1_struct_0 A) (forall ((B $$unsorted)) (=> (tptp.l1_closure2 B A) (tptp.l2_msualg_1 B A))))) (forall ((A $$unsorted)) (=> (tptp.l1_struct_0 A) (exists ((B $$unsorted)) (tptp.l1_closure2 B A)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.l1_struct_0 A) (tptp.l1_closure2 B A)) (=> (tptp.v11_closure2 B A) (= B (tptp.g1_closure2 A (tptp.u4_msualg_1 A B) (tptp.u1_closure2 A B)))))) true (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (tptp.m1_subset_1 (tptp.k2_closure2 A B) (tptp.k1_zfmisc_1 (tptp.k1_closure2 A B))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (= (tptp.k2_closure2 A B) (tptp.k1_closure2 A B)))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k3_closure2 A))) (=> (tptp.v1_fraenkel A) (and (tptp.v1_relat_1 _let_1) (tptp.v1_funct_1 _let_1))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.m1_pboole B A) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.k1_closure2 A B)))) (tptp.m1_pboole (tptp.k4_closure2 A B C) A))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.m1_pboole B A) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.k1_closure2 A B)))) (tptp.m4_pboole (tptp.k5_closure2 A B C) A (tptp.k1_mboolean A B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.m1_pboole B A) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.k1_closure2 A B)))) (= (tptp.k5_closure2 A B C) (tptp.k4_closure2 A B C)))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k6_closure2 A B))) (=> (tptp.m1_pboole B A) (and (tptp.v1_closure2 _let_1 A B) (tptp.v2_closure2 _let_1 A B) (tptp.v3_closure2 _let_1 A B) (tptp.v4_closure2 _let_1 A B) (tptp.v5_closure2 _let_1 A B) (tptp.v6_closure2 _let_1 A B) (tptp.m1_subset_1 _let_1 (tptp.k1_zfmisc_1 (tptp.k1_closure2 A B))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (= (tptp.k6_closure2 A B) (tptp.k1_closure2 A B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k6_closure2 A B))) (=> (and (tptp.m1_pboole B A) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_1 _let_1) (tptp.m1_relset_1 C _let_1 _let_1) (tptp.m1_subset_1 D _let_1)) (tptp.m1_closure2 (tptp.k7_closure2 A B C D) A B _let_1)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k6_closure2 A B))) (=> (and (tptp.m1_pboole B A) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_1 _let_1) (tptp.m1_relset_1 C _let_1 _let_1) (tptp.m1_subset_1 D _let_1)) (= (tptp.k7_closure2 A B C D) (tptp.k1_funct_1 C D))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k6_closure2 A B))) (let ((_let_2 (tptp.k8_closure2 A B C D))) (=> (and (tptp.m1_pboole B A) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_1 _let_1) (tptp.m1_relset_1 C _let_1 _let_1) (tptp.v1_funct_1 D) (tptp.v1_funct_2 D _let_1 _let_1) (tptp.m1_relset_1 D _let_1 _let_1)) (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 $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k6_closure2 A B))) (=> (and (tptp.m1_pboole B A) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_1 _let_1) (tptp.m1_relset_1 C _let_1 _let_1) (tptp.v1_funct_1 D) (tptp.v1_funct_2 D _let_1 _let_1) (tptp.m1_relset_1 D _let_1 _let_1)) (= (tptp.k8_closure2 A B C D) (tptp.k5_relat_1 C D))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.l1_struct_0 A) (tptp.l2_msualg_1 B A)) (tptp.l1_closure2 (tptp.k9_closure2 A B) A))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k10_closure2 A B C))) (let ((_let_2 (tptp.u1_struct_0 A))) (let ((_let_3 (tptp.k6_closure2 _let_2 B))) (=> (and (tptp.l1_struct_0 A) (tptp.m1_pboole B _let_2) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_3 _let_3) (tptp.v7_closure2 C _let_2 B) (tptp.v8_closure2 C _let_2 B) (tptp.v9_closure2 C _let_2 B) (tptp.m1_relset_1 C _let_3 _let_3)) (and (tptp.v11_closure2 _let_1 A) (tptp.v15_closure2 _let_1 A) (tptp.l1_closure2 _let_1 A))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.u4_msualg_1 A B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (tptp.l1_struct_0 A) (tptp.v15_closure2 B A) (tptp.l1_closure2 B A) (tptp.m4_pboole C _let_2 _let_1)) (tptp.m1_closure2 (tptp.k11_closure2 A B C) _let_2 _let_1 (tptp.k6_closure2 _let_2 _let_1)))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.u4_msualg_1 A B))) (let ((_let_2 (tptp.u1_struct_0 A))) (let ((_let_3 (tptp.k6_closure2 _let_2 _let_1))) (let ((_let_4 (tptp.k12_closure2 A B))) (=> (and (tptp.l1_struct_0 A) (tptp.v15_closure2 B A) (tptp.l1_closure2 B A)) (and (tptp.v1_funct_1 _let_4) (tptp.v1_funct_2 _let_4 _let_3 _let_3) (tptp.v7_closure2 _let_4 _let_2 _let_1) (tptp.v8_closure2 _let_4 _let_2 _let_1) (tptp.v9_closure2 _let_4 _let_2 _let_1) (tptp.m2_relset_1 _let_4 _let_3 _let_3)))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.l1_struct_0 A) (tptp.l1_closure2 B A)) (tptp.m1_subset_1 (tptp.u1_closure2 A B) (tptp.k1_zfmisc_1 (tptp.k1_closure2 (tptp.u1_struct_0 A) (tptp.u4_msualg_1 A B)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.g1_closure2 A B C))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (tptp.l1_struct_0 A) (tptp.m1_pboole B _let_2) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.k1_closure2 _let_2 B)))) (and (tptp.v11_closure2 _let_1 A) (tptp.l1_closure2 _let_1 A)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (tptp.l1_struct_0 A) (tptp.m1_pboole B _let_1) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.k1_closure2 _let_1 B)))) (forall ((D $$unsorted) (E $$unsorted) (F $$unsorted)) (=> (= (tptp.g1_closure2 A B C) (tptp.g1_closure2 D E F)) (and (= A D) (= B E) (= C F))))))) (forall ((A $$unsorted)) (=> (tptp.v1_fraenkel A) (forall ((B $$unsorted)) (let ((_let_1 (= B (tptp.k3_closure2 A)))) (let ((_let_2 (= A tptp.k1_xboole_0))) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (and (=> (not _let_2) (= _let_1 (exists ((C $$unsorted)) (and (not (tptp.v1_xboole_0 C)) (tptp.v1_fraenkel C) (= C A) (= (tptp.k1_relat_1 B) (tptp.k1_setfam_1 (tptp.a_1_0_closure2 C))) (forall ((D $$unsorted)) (=> (tptp.r2_hidden D (tptp.k1_relat_1 B)) (= (tptp.k1_funct_1 B D) (tptp.a_2_0_closure2 C D)))))))) (=> _let_2 (= _let_1 (= B tptp.k1_xboole_0)))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.k1_closure2 A B))) (=> (not (tptp.v1_xboole_0 C)) (forall ((D $$unsorted)) (=> (tptp.r2_hidden D A) (= (tptp.k1_funct_1 (tptp.k4_closure2 A B C) D) (tptp.a_4_0_closure2 A B C D))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_struct_0 A) (forall ((B $$unsorted)) (=> (tptp.m1_pboole B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.k6_closure2 _let_1 B))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_2) (tptp.v7_closure2 C _let_1 B) (tptp.v8_closure2 C _let_1 B) (tptp.m2_relset_1 C _let_2 _let_2)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.g1_closure2 A B D))) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.k1_closure2 (tptp.u1_struct_0 A) B))) (=> (= D (tptp.a_3_0_closure2 A B C)) (and (tptp.v15_closure2 _let_1 A) (tptp.l1_closure2 _let_1 A)))))))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_struct_0 A) (forall ((B $$unsorted)) (=> (tptp.m1_pboole B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.k6_closure2 _let_1 B))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_2) (tptp.v7_closure2 C _let_1 B) (tptp.v8_closure2 C _let_1 B) (tptp.v9_closure2 C _let_1 B) (tptp.m2_relset_1 C _let_2 _let_2)) (forall ((D $$unsorted)) (=> (and (tptp.v11_closure2 D A) (tptp.v15_closure2 D A) (tptp.l1_closure2 D A)) (= (= D (tptp.k10_closure2 A B C)) (and (tptp.r6_pboole (tptp.u1_struct_0 A) (tptp.u4_msualg_1 A D) B) (= (tptp.u1_closure2 A D) (tptp.a_3_1_closure2 A B C)))))))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_struct_0 A) (forall ((B $$unsorted)) (=> (and (tptp.v15_closure2 B A) (tptp.l1_closure2 B A)) (forall ((C $$unsorted)) (=> (tptp.m4_pboole C (tptp.u1_struct_0 A) (tptp.u4_msualg_1 A B)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u4_msualg_1 A B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (tptp.m1_closure2 D _let_2 _let_1 (tptp.k6_closure2 _let_2 _let_1)) (= (= D (tptp.k11_closure2 A B C)) (exists ((E $$unsorted)) (let ((_let_1 (tptp.u4_msualg_1 A B))) (let ((_let_2 (tptp.u1_struct_0 A))) (and (tptp.m1_subset_1 E (tptp.k1_zfmisc_1 (tptp.k1_closure2 _let_2 _let_1))) (tptp.r6_pboole _let_2 D (tptp.k6_mssubfam _let_2 _let_1 (tptp.k5_closure2 _let_2 _let_1 E))) (= E (tptp.a_3_2_closure2 A B C))))))))))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.v1_fraenkel B)) (= (tptp.r2_hidden A (tptp.a_1_0_closure2 B)) (exists ((C $$unsorted)) (and (tptp.m1_subset_1 C B) (= A (tptp.k1_relat_1 C))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.v1_fraenkel B)) (= (tptp.r2_hidden A (tptp.a_2_0_closure2 B C)) (exists ((D $$unsorted)) (and (tptp.m1_subset_1 D B) (= A (tptp.k1_funct_1 D C))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (=> (and (tptp.m1_pboole C B) (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.k1_closure2 B C)))) (= (tptp.r2_hidden A (tptp.a_4_0_closure2 B C D E)) (exists ((F $$unsorted)) (and (tptp.m1_closure2 F B C (tptp.k2_closure2 B C)) (= A (tptp.k1_funct_1 F E)) (tptp.r2_hidden F D)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.k6_closure2 _let_1 C))) (=> (and (tptp.l1_struct_0 B) (tptp.m1_pboole C _let_1) (tptp.v1_funct_1 D) (tptp.v1_funct_2 D _let_2 _let_2) (tptp.v7_closure2 D _let_1 C) (tptp.v8_closure2 D _let_1 C) (tptp.m2_relset_1 D _let_2 _let_2)) (= (tptp.r2_hidden A (tptp.a_3_0_closure2 B C D)) (exists ((E $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (and (tptp.m1_closure2 E _let_1 C (tptp.k6_closure2 _let_1 C)) (= A E) (tptp.r6_pboole _let_1 (tptp.k7_closure2 _let_1 C D E) E))))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.k6_closure2 _let_1 C))) (=> (and (tptp.l1_struct_0 B) (tptp.m1_pboole C _let_1) (tptp.v1_funct_1 D) (tptp.v1_funct_2 D _let_2 _let_2) (tptp.v7_closure2 D _let_1 C) (tptp.v8_closure2 D _let_1 C) (tptp.v9_closure2 D _let_1 C) (tptp.m2_relset_1 D _let_2 _let_2)) (= (tptp.r2_hidden A (tptp.a_3_1_closure2 B C D)) (exists ((E $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (and (tptp.m1_closure2 E _let_1 C (tptp.k6_closure2 _let_1 C)) (= A E) (tptp.r6_pboole _let_1 (tptp.k7_closure2 _let_1 C D E) E))))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.l1_struct_0 B) (tptp.v15_closure2 C B) (tptp.l1_closure2 C B) (tptp.m4_pboole D (tptp.u1_struct_0 B) (tptp.u4_msualg_1 B C))) (= (tptp.r2_hidden A (tptp.a_3_2_closure2 B C D)) (exists ((E $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u4_msualg_1 B C))) (and (tptp.m1_closure2 E _let_1 _let_2 (tptp.k6_closure2 _let_1 _let_2)) (= A E) (tptp.r2_pboole _let_1 D E) (tptp.r2_hidden E (tptp.u1_closure2 B C))))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k2_funct_4 A))) (=> (and (tptp.v1_xboole_0 A) (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (and (tptp.v1_xboole_0 _let_1) (tptp.v1_relat_1 _let_1) (tptp.v1_funct_1 _let_1) (tptp.v2_funct_1 _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k15_funct_3 A B))) (=> (and (tptp.v1_xboole_0 A) (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (and (tptp.v1_xboole_0 _let_1) (tptp.v1_relat_1 _let_1) (tptp.v1_funct_1 _let_1) (tptp.v2_funct_1 _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k15_funct_3 B A))) (=> (and (tptp.v1_xboole_0 A) (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (and (tptp.v1_xboole_0 _let_1) (tptp.v1_relat_1 _let_1) (tptp.v1_funct_1 _let_1) (tptp.v2_funct_1 _let_1))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k2_funct_4 A))) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_funcop_1 A)) (and (tptp.v1_relat_1 _let_1) (tptp.v1_funct_1 _let_1) (tptp.v1_funcop_1 _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (exists ((C $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 B B))) (let ((_let_2 (tptp.k2_zfmisc_1 A A))) (and (tptp.m1_relset_1 C _let_2 _let_1) (tptp.v1_relat_1 C) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.v1_functor0 C A B) (tptp.v2_functor0 C A B)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C A B) (tptp.m1_relset_1 C A B) (tptp.m1_pboole D A) (tptp.m1_pboole E B)) (forall ((F $$unsorted)) (=> (tptp.m1_functor0 F A B C D E) (tptp.v1_funcop_1 F))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.l1_struct_0 A) (tptp.l1_struct_0 B)) (exists ((C $$unsorted)) (and (tptp.l1_functor0 C A B) (tptp.v3_functor0 C A B))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.l1_altcat_1 A) (tptp.l1_altcat_1 B)) (exists ((C $$unsorted)) (and (tptp.l2_functor0 C A B) (tptp.v9_functor0 C A B))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.l1_altcat_1 A) (tptp.l1_altcat_1 B)) (exists ((C $$unsorted)) (and (tptp.l2_functor0 C A B) (tptp.v10_functor0 C A B))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.l1_altcat_1 A) (tptp.l1_altcat_1 B)) (exists ((C $$unsorted)) (and (tptp.l2_functor0 C A B) (tptp.v11_functor0 C A B))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (let ((_let_1 (tptp.k4_functor0 A B C D E))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (tptp.l1_altcat_1 A) (tptp.l1_altcat_1 B) (tptp.l2_functor0 C A B) (tptp.m1_subset_1 D _let_2) (tptp.m1_subset_1 E _let_2)) (and (tptp.v1_relat_1 _let_1) (tptp.v1_funct_1 _let_1)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k9_functor0 A B C D))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_altcat_1 A) (not (tptp.v3_struct_0 B)) (tptp.v1_altcat_2 B) (tptp.l1_altcat_1 B) (tptp.m1_subset_1 C (tptp.u1_struct_0 B)) (tptp.m1_subset_1 D (tptp.k1_altcat_1 B C C))) (and (tptp.v8_functor0 _let_1 A B) (tptp.v9_functor0 _let_1 A B) (tptp.v10_functor0 _let_1 A B) (tptp.v11_functor0 _let_1 A B))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_altcat_1 A) (not (tptp.v3_struct_0 B)) (tptp.v1_altcat_2 B) (tptp.l1_altcat_1 B)) (exists ((C $$unsorted)) (and (tptp.l2_functor0 C A B) (tptp.v8_functor0 C A B) (tptp.v10_functor0 C A B) (tptp.v11_functor0 C A B))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.u2_functor0 A B C))) (=> (and (tptp.l1_altcat_1 A) (tptp.l1_altcat_1 B) (tptp.l2_functor0 C A B)) (and (tptp.v1_relat_1 _let_1) (tptp.v1_funct_1 _let_1) (tptp.v1_funcop_1 _let_1))))) (exists ((A $$unsorted)) (and (tptp.l2_altcat_1 A) (not (tptp.v3_struct_0 A)) (tptp.v1_altcat_2 A))) (forall ((A $$unsorted)) (let ((_let_1 (not (tptp.v3_struct_0 A)))) (=> (tptp.l2_altcat_1 A) (=> (and _let_1 (tptp.v12_altcat_1 A)) (and _let_1 (tptp.v1_altcat_2 A)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k9_functor0 A B C (tptp.k8_altcat_1 B C)))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v12_altcat_1 A) (tptp.l2_altcat_1 A) (not (tptp.v3_struct_0 B)) (tptp.v12_altcat_1 B) (tptp.l2_altcat_1 B) (tptp.m1_subset_1 C (tptp.u1_struct_0 B))) (and (tptp.v8_functor0 _let_1 A B) (tptp.v9_functor0 _let_1 A B) (tptp.v10_functor0 _let_1 A B) (tptp.v11_functor0 _let_1 A B) (tptp.v12_functor0 _let_1 A B))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k9_functor0 A B C D))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_altcat_1 A) (not (tptp.v3_struct_0 B)) (tptp.v1_altcat_2 B) (tptp.l1_altcat_1 B) (tptp.m1_subset_1 C (tptp.u1_struct_0 B)) (tptp.m1_subset_1 D (tptp.k1_altcat_1 B C C))) (and (tptp.v6_functor0 _let_1 A B) (tptp.v8_functor0 _let_1 A B) (tptp.v9_functor0 _let_1 A B) (tptp.v10_functor0 _let_1 A B) (tptp.v11_functor0 _let_1 A B))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_altcat_1 A) (not (tptp.v3_struct_0 B)) (tptp.v1_altcat_2 B) (tptp.l1_altcat_1 B)) (exists ((C $$unsorted)) (and (tptp.l2_functor0 C A B) (tptp.v6_functor0 C A B) (tptp.v8_functor0 C A B))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v12_altcat_1 A) (tptp.l2_altcat_1 A) (not (tptp.v3_struct_0 B)) (tptp.v12_altcat_1 B) (tptp.l2_altcat_1 B)) (exists ((C $$unsorted)) (and (tptp.l2_functor0 C A B) (tptp.v6_functor0 C A B) (tptp.v8_functor0 C A B) (tptp.v9_functor0 C A B) (tptp.v12_functor0 C A B))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k9_functor0 A B C (tptp.k8_altcat_1 B C)))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_altcat_1 A) (tptp.l2_altcat_1 A) (not (tptp.v3_struct_0 B)) (tptp.v12_altcat_1 B) (tptp.l2_altcat_1 B) (tptp.m1_subset_1 C (tptp.u1_struct_0 B))) (and (tptp.v6_functor0 _let_1 A B) (tptp.v8_functor0 _let_1 A B) (tptp.v9_functor0 _let_1 A B) (tptp.v10_functor0 _let_1 A B) (tptp.v11_functor0 _let_1 A B) (tptp.v13_functor0 _let_1 A B) (tptp.v14_functor0 _let_1 A B))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k10_functor0 A B))) (=> (and (tptp.l2_altcat_1 A) (tptp.m1_altcat_2 B A)) (and (tptp.v9_functor0 _let_1 B A) (tptp.v10_functor0 _let_1 B A))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k10_functor0 A B))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l2_altcat_1 A) (not (tptp.v3_struct_0 B)) (tptp.m1_altcat_2 B A)) (and (tptp.v8_functor0 _let_1 B A) (tptp.v9_functor0 _let_1 B A) (tptp.v10_functor0 _let_1 B A))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_altcat_1 A) (tptp.v12_altcat_1 A) (tptp.l2_altcat_1 A) (not (tptp.v3_struct_0 B)) (tptp.v2_altcat_1 B) (tptp.v12_altcat_1 B) (tptp.l2_altcat_1 B)) (exists ((C $$unsorted)) (and (tptp.m2_functor0 C A B) (tptp.v8_functor0 C A B) (tptp.v9_functor0 C A B) (tptp.v15_functor0 C A B) (tptp.v16_functor0 C A B))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k11_functor0 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_altcat_1 A)) (and (tptp.v8_functor0 _let_1 A A) (tptp.v9_functor0 _let_1 A A) (tptp.v10_functor0 _let_1 A A))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_altcat_1 A)) (exists ((B $$unsorted)) (and (tptp.l2_functor0 B A A) (tptp.v8_functor0 B A A) (tptp.v10_functor0 B A A))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k11_functor0 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_altcat_1 A) (tptp.v12_altcat_1 A) (tptp.l2_altcat_1 A)) (and (tptp.v8_functor0 _let_1 A A) (tptp.v9_functor0 _let_1 A A) (tptp.v10_functor0 _let_1 A A) (tptp.v12_functor0 _let_1 A A) (tptp.v13_functor0 _let_1 A A))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k11_functor0 A))) (=> (tptp.l1_altcat_1 A) (and (tptp.v9_functor0 _let_1 A A) (tptp.v21_functor0 _let_1 A A))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (let ((_let_1 (tptp.k13_functor0 A B C D E))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_altcat_1 A) (not (tptp.v3_struct_0 B)) (tptp.v1_altcat_2 B) (tptp.l1_altcat_1 B) (not (tptp.v3_struct_0 C)) (tptp.v1_altcat_2 C) (tptp.l1_altcat_1 C) (tptp.v8_functor0 D A B) (tptp.v10_functor0 D A B) (tptp.l2_functor0 D A B) (tptp.v10_functor0 E B C) (tptp.l2_functor0 E B C)) (and (tptp.v9_functor0 _let_1 A C) (tptp.v10_functor0 _let_1 A C))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (let ((_let_1 (tptp.k13_functor0 A B C D E))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_altcat_1 A) (not (tptp.v3_struct_0 B)) (tptp.v1_altcat_2 B) (tptp.l1_altcat_1 B) (not (tptp.v3_struct_0 C)) (tptp.v1_altcat_2 C) (tptp.l1_altcat_1 C) (tptp.v8_functor0 D A B) (tptp.v11_functor0 D A B) (tptp.l2_functor0 D A B) (tptp.v10_functor0 E B C) (tptp.l2_functor0 E B C)) (and (tptp.v9_functor0 _let_1 A C) (tptp.v11_functor0 _let_1 A C))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (let ((_let_1 (tptp.k13_functor0 A B C D E))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_altcat_1 A) (not (tptp.v3_struct_0 B)) (tptp.v1_altcat_2 B) (tptp.l1_altcat_1 B) (not (tptp.v3_struct_0 C)) (tptp.v1_altcat_2 C) (tptp.l1_altcat_1 C) (tptp.v8_functor0 D A B) (tptp.v10_functor0 D A B) (tptp.l2_functor0 D A B) (tptp.v11_functor0 E B C) (tptp.l2_functor0 E B C)) (and (tptp.v9_functor0 _let_1 A C) (tptp.v11_functor0 _let_1 A C))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (let ((_let_1 (tptp.k13_functor0 A B C D E))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_altcat_1 A) (not (tptp.v3_struct_0 B)) (tptp.v1_altcat_2 B) (tptp.l1_altcat_1 B) (not (tptp.v3_struct_0 C)) (tptp.v1_altcat_2 C) (tptp.l1_altcat_1 C) (tptp.v8_functor0 D A B) (tptp.v11_functor0 D A B) (tptp.l2_functor0 D A B) (tptp.v11_functor0 E B C) (tptp.l2_functor0 E B C)) (and (tptp.v9_functor0 _let_1 A C) (tptp.v10_functor0 _let_1 A C))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (let ((_let_1 (tptp.k13_functor0 A B C D E))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_altcat_1 A) (not (tptp.v3_struct_0 B)) (tptp.v1_altcat_2 B) (tptp.l1_altcat_1 B) (not (tptp.v3_struct_0 C)) (tptp.v1_altcat_2 C) (tptp.l1_altcat_1 C) (tptp.v8_functor0 D A B) (tptp.l2_functor0 D A B) (tptp.v8_functor0 E B C) (tptp.l2_functor0 E B C)) (and (tptp.v8_functor0 _let_1 A C) (tptp.v9_functor0 _let_1 A C))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (let ((_let_1 (tptp.k13_functor0 A B C D E))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v12_altcat_1 A) (tptp.l2_altcat_1 A) (not (tptp.v3_struct_0 B)) (tptp.v12_altcat_1 B) (tptp.l2_altcat_1 B) (not (tptp.v3_struct_0 C)) (tptp.v12_altcat_1 C) (tptp.l2_altcat_1 C) (tptp.v6_functor0 D A B) (tptp.v8_functor0 D A B) (tptp.v12_functor0 D A B) (tptp.l2_functor0 D A B) (tptp.v12_functor0 E B C) (tptp.l2_functor0 E B C)) (and (tptp.v9_functor0 _let_1 A C) (tptp.v12_functor0 _let_1 A C))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.l1_struct_0 A) (not (tptp.v3_struct_0 B)) (tptp.l1_struct_0 B)) (forall ((C $$unsorted)) (=> (tptp.l1_functor0 C A B) (=> (tptp.v10_functor0 C A B) (tptp.v6_functor0 C A B)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.l1_struct_0 A) (not (tptp.v3_struct_0 B)) (tptp.l1_struct_0 B)) (forall ((C $$unsorted)) (=> (tptp.l1_functor0 C A B) (=> (tptp.v11_functor0 C A B) (tptp.v6_functor0 C A B)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_altcat_1 A) (tptp.v12_altcat_1 A) (tptp.l2_altcat_1 A) (not (tptp.v3_struct_0 B)) (tptp.v12_altcat_1 B) (tptp.l2_altcat_1 B)) (forall ((C $$unsorted)) (=> (tptp.m2_functor0 C A B) (=> (tptp.v15_functor0 C A B) (tptp.v6_functor0 C A B)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_altcat_1 A) (tptp.v12_altcat_1 A) (tptp.l2_altcat_1 A) (not (tptp.v3_struct_0 B)) (tptp.v12_altcat_1 B) (tptp.l2_altcat_1 B)) (forall ((C $$unsorted)) (=> (tptp.m2_functor0 C A B) (=> (tptp.v16_functor0 C A B) (tptp.v6_functor0 C A B)))))) (forall ((A $$unsorted)) (and (tptp.v1_funct_1 tptp.k1_xboole_0) (tptp.v1_funct_2 tptp.k1_xboole_0 A tptp.k1_xboole_0) (tptp.m2_relset_1 tptp.k1_xboole_0 A tptp.k1_xboole_0))) true (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (= (tptp.k5_relat_1 (tptp.k6_partfun1 A) B) B))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k6_partfun1 A))) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (= (tptp.k9_relat_1 B _let_1) (tptp.k9_relat_1 (tptp.k2_funct_4 B) _let_1))))) (forall ((A $$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.v2_funct_2 (tptp.k16_funct_3 A A B B C C) (tptp.k2_zfmisc_1 A A) (tptp.k2_zfmisc_1 B B))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.k2_funct_4 (tptp.k10_pboole (tptp.k2_zfmisc_1 A B) C)) (tptp.k10_pboole (tptp.k2_zfmisc_1 B A) C))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (=> (and (tptp.v2_funct_1 A) (tptp.v2_funct_1 B)) (= (tptp.k2_funct_1 (tptp.k15_funct_3 A B)) (tptp.k15_funct_3 (tptp.k2_funct_1 A) (tptp.k2_funct_1 B)))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (=> (tptp.v2_funct_1 (tptp.k15_funct_3 A A)) (tptp.v2_funct_1 A)))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (=> (tptp.v2_funct_1 A) (tptp.v2_funct_1 (tptp.k2_funct_4 A))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (=> (tptp.v2_funct_1 (tptp.k2_funct_4 (tptp.k15_funct_3 A B))) (tptp.v2_funct_1 (tptp.k15_funct_3 B A))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (=> (and (tptp.v2_funct_1 A) (tptp.v2_funct_1 B)) (= (tptp.k2_funct_1 (tptp.k2_funct_4 (tptp.k15_funct_3 A B))) (tptp.k2_funct_4 (tptp.k2_funct_1 (tptp.k15_funct_3 B A))))))))) (forall ((A $$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)) (=> (tptp.v2_funct_2 C A B) (tptp.r1_tarski (tptp.k6_partfun1 B) (tptp.k2_funct_2 (tptp.k2_zfmisc_1 A A) (tptp.k2_zfmisc_1 B B) (tptp.k16_funct_3 A A B B C C) (tptp.k6_partfun1 A)))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_funcop_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (tptp.v1_funcop_1 B)) (forall ((C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (= (tptp.k5_relat_1 C (tptp.k13_pboole A B)) (tptp.k13_pboole (tptp.k5_relat_1 C A) (tptp.k5_relat_1 C B))))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A B))) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D _let_1 C) (tptp.m2_relset_1 D _let_1 C)) (=> (tptp.v2_funct_2 (tptp.k1_functor0 A B C D) (tptp.k2_zfmisc_1 B A) C) (tptp.v2_funct_2 D _let_1 C))))) (forall ((A $$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)) (tptp.r1_tarski (tptp.k2_funct_2 (tptp.k2_zfmisc_1 A A) (tptp.k2_zfmisc_1 B B) (tptp.k16_funct_3 A A B B C C) (tptp.k6_partfun1 A)) (tptp.k6_partfun1 B)))))) true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 B B))) (let ((_let_2 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.m2_relset_1 C _let_2 _let_1)) (= (tptp.v1_functor0 C A B) (exists ((D $$unsorted)) (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D A B) (tptp.m2_relset_1 D A B) (= C (tptp.k16_funct_3 A A B B D D))))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 B B))) (let ((_let_2 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.m2_relset_1 C _let_2 _let_1)) (= (tptp.v2_functor0 C A B) (exists ((D $$unsorted)) (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D A B) (tptp.m2_relset_1 D A B) (= C (tptp.k1_functor0 A A (tptp.k2_zfmisc_1 B B) (tptp.k16_funct_3 A A B B D D)))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C B) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A A))) (let ((_let_2 (tptp.k2_zfmisc_1 B B))) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D _let_1 _let_2) (tptp.m2_relset_1 D _let_1 _let_2)) (=> (= D (tptp.k10_pboole _let_1 (tptp.k4_tarski C C))) (and (tptp.v1_functor0 D A B) (tptp.v2_functor0 D A B))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 B B))) (let ((_let_2 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.v1_functor0 C A B) (tptp.v2_functor0 C A B) (tptp.m2_relset_1 C _let_2 _let_1)) (exists ((D $$unsorted)) (and (tptp.m1_subset_1 D B) (= C (tptp.k10_pboole (tptp.k2_zfmisc_1 A A) (tptp.k4_tarski 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)) (=> (tptp.m1_pboole D A) (forall ((E $$unsorted)) (=> (tptp.m1_pboole E B) (forall ((F $$unsorted)) (let ((_let_1 (tptp.m1_functor0 F A B C D E))) (let ((_let_2 (= B tptp.k1_xboole_0))) (=> (tptp.m1_pboole F A) (and (=> (not _let_2) (= _let_1 (exists ((G $$unsorted)) (and (not (tptp.v1_xboole_0 G)) (exists ((H $$unsorted)) (and (tptp.m1_pboole H G) (exists ((I $$unsorted)) (and (tptp.v1_funct_1 I) (tptp.v1_funct_2 I A G) (tptp.m2_relset_1 I A G) (= C I) (= E H) (tptp.m3_pboole F A D (tptp.k7_pboole A G I H)))))))))) (=> _let_2 (= _let_1 (tptp.r6_pboole A F (tptp.k1_pboole A))))))))))))))) (forall ((A $$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 $$unsorted)) (=> (tptp.m1_pboole D A) (forall ((E $$unsorted)) (=> (tptp.m1_pboole E B) (forall ((F $$unsorted)) (=> (tptp.m1_pboole F A) (= (tptp.m1_functor0 F A B C D E) (tptp.m3_pboole F A D (tptp.k7_pboole A B C E))))))))))))) (forall ((A $$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)) (=> (and (tptp.v1_funct_1 E) (tptp.v1_funct_2 E B C) (tptp.m2_relset_1 E B C)) (forall ((F $$unsorted)) (=> (tptp.m1_pboole F B) (forall ((G $$unsorted)) (=> (tptp.m1_pboole G C) (forall ((H $$unsorted)) (=> (tptp.m1_functor0 H B C E F G) (tptp.m1_functor0 (tptp.k7_pboole A B D H) A C (tptp.k7_funct_2 A B C D E) (tptp.k7_pboole A B D F) G))))))))))))))) (forall ((A $$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 B C) (tptp.m2_relset_1 E B C)) (forall ((F $$unsorted)) (=> (tptp.m1_pboole F A) (forall ((G $$unsorted)) (=> (tptp.m1_pboole G B) (forall ((H $$unsorted)) (=> (tptp.m1_pboole H C) (forall ((I $$unsorted)) (=> (tptp.m1_functor0 I A B D F G) (forall ((J $$unsorted)) (let ((_let_1 (tptp.k7_funct_2 A B C D E))) (=> (tptp.m1_functor0 J A C _let_1 (tptp.k7_pboole A B D G) H) (=> (forall ((K $$unsorted)) (not (and (tptp.r2_hidden K A) (= (tptp.k1_funct_1 (tptp.k7_pboole A B D G) K) tptp.k1_xboole_0) (not (= (tptp.k1_funct_1 F K) tptp.k1_xboole_0)) (not (= (tptp.k1_funct_1 (tptp.k7_pboole A C (tptp.k7_funct_2 A B C D E) H) K) tptp.k1_xboole_0))))) (tptp.m1_functor0 (tptp.k13_pboole I J) A C _let_1 F H))))))))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_altcat_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.l1_altcat_1 B)) (forall ((C $$unsorted)) (=> (tptp.l1_functor0 C A B) (forall ((D $$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.k3_functor0 A B C D) (tptp.k1_mcart_1 (tptp.k2_binop_1 _let_2 _let_2 (tptp.k2_zfmisc_1 _let_1 _let_1) (tptp.u1_functor0 A B C) D D))))))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_struct_0 A) (forall ((B $$unsorted)) (=> (tptp.l1_struct_0 B) (forall ((C $$unsorted)) (=> (tptp.l1_functor0 C A B) (= (tptp.v4_functor0 C A B) (tptp.v2_funct_1 (tptp.u1_functor0 A B C))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_struct_0 A) (forall ((B $$unsorted)) (=> (tptp.l1_struct_0 B) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (tptp.l1_functor0 C A B) (= (tptp.v5_functor0 C A B) (tptp.v2_funct_2 (tptp.u1_functor0 A B C) (tptp.k2_zfmisc_1 _let_2 _let_2) (tptp.k2_zfmisc_1 _let_1 _let_1))))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_struct_0 A) (forall ((B $$unsorted)) (=> (tptp.l1_struct_0 B) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (tptp.l1_functor0 C A B) (= (tptp.v6_functor0 C A B) (tptp.r1_tarski (tptp.k2_funct_2 (tptp.k2_zfmisc_1 _let_2 _let_2) (tptp.k2_zfmisc_1 _let_1 _let_1) (tptp.u1_functor0 A B C) (tptp.k6_partfun1 _let_2)) (tptp.k6_partfun1 _let_1))))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_struct_0 A) (forall ((B $$unsorted)) (=> (tptp.l1_struct_0 B) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.u1_struct_0 B))) (=> (tptp.l1_functor0 C A B) (= (tptp.v7_functor0 C A B) (tptp.r1_tarski (tptp.k6_partfun1 _let_2) (tptp.k2_funct_2 (tptp.k2_zfmisc_1 _let_1 _let_1) (tptp.k2_zfmisc_1 _let_2 _let_2) (tptp.u1_functor0 A B C) (tptp.k6_partfun1 _let_1)))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_altcat_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.l1_altcat_1 B)) (forall ((C $$unsorted)) (=> (tptp.l1_functor0 C A B) (= (tptp.v6_functor0 C A B) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k3_functor0 A B C D))) (let ((_let_2 (tptp.u1_struct_0 B))) (let ((_let_3 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 D _let_3) (= (tptp.k2_binop_1 _let_3 _let_3 (tptp.k2_zfmisc_1 _let_2 _let_2) (tptp.u1_functor0 A B C) D D) (tptp.k4_tarski _let_1 _let_1)))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v1_altcat_2 A) (tptp.l1_altcat_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v1_altcat_2 B) (tptp.l1_altcat_1 B)) (forall ((C $$unsorted)) (=> (tptp.l1_functor0 C A B) (=> (tptp.v7_functor0 C A B) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 B)) (exists ((E $$unsorted)) (and (tptp.m1_subset_1 E (tptp.u1_struct_0 A)) (= (tptp.k3_functor0 A B C E) D)))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_altcat_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.l1_altcat_1 B)) (forall ((C $$unsorted)) (=> (tptp.l1_functor0 C A B) (= (tptp.v8_functor0 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) (not (and (not (= (tptp.k1_altcat_1 A D E) tptp.k1_xboole_0)) (= (tptp.k1_funct_1 (tptp.u1_altcat_1 B) (tptp.k2_binop_1 _let_2 _let_2 (tptp.k2_zfmisc_1 _let_1 _let_1) (tptp.u1_functor0 A B C) D E)) tptp.k1_xboole_0)))))))))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_struct_0 A) (forall ((B $$unsorted)) (=> (tptp.l1_struct_0 B) (forall ((C $$unsorted)) (=> (tptp.l1_functor0 C A B) (= (tptp.v10_functor0 C A B) (tptp.v1_functor0 (tptp.u1_functor0 A B C) (tptp.u1_struct_0 A) (tptp.u1_struct_0 B))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_struct_0 A) (forall ((B $$unsorted)) (=> (tptp.l1_struct_0 B) (forall ((C $$unsorted)) (=> (tptp.l1_functor0 C A B) (= (tptp.v11_functor0 C A B) (tptp.v2_functor0 (tptp.u1_functor0 A B C) (tptp.u1_struct_0 A) (tptp.u1_struct_0 B))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_altcat_1 A) (forall ((B $$unsorted)) (=> (tptp.l1_altcat_1 B) (forall ((C $$unsorted)) (=> (tptp.l2_functor0 C A B) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.u1_struct_0 A)) (= (tptp.k4_functor0 A B C D E) (tptp.k1_binop_1 (tptp.u2_functor0 A B C) D E)))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_altcat_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.l1_altcat_1 B)) (forall ((C $$unsorted)) (=> (and (tptp.v10_functor0 C A B) (tptp.l2_functor0 C A B)) (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)) (not (and (not (= (tptp.k1_altcat_1 A D E) tptp.k1_xboole_0)) (not (= (tptp.k1_altcat_1 B (tptp.k3_functor0 A B C D) (tptp.k3_functor0 A B C E)) tptp.k1_xboole_0)) (not (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F (tptp.k1_altcat_1 A D E)) (= (tptp.k6_functor0 A B C D E F) (tptp.k1_funct_1 (tptp.k5_functor0 A B C D E) F))))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_altcat_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.l1_altcat_1 B)) (forall ((C $$unsorted)) (=> (and (tptp.v11_functor0 C A B) (tptp.l2_functor0 C A B)) (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)) (not (and (not (= (tptp.k1_altcat_1 A D E) tptp.k1_xboole_0)) (not (= (tptp.k1_altcat_1 B (tptp.k3_functor0 A B C E) (tptp.k3_functor0 A B C D)) tptp.k1_xboole_0)) (not (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F (tptp.k1_altcat_1 A D E)) (= (tptp.k8_functor0 A B C D E F) (tptp.k1_funct_1 (tptp.k7_functor0 A B C D E) F))))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_altcat_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.l1_altcat_1 B)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 B)) (=> (not (= (tptp.k1_altcat_1 B C C) tptp.k1_xboole_0)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_altcat_1 B C C)) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.u1_struct_0 A)) (= (tptp.k3_functor0 A B (tptp.k9_functor0 A B C D) E) C)))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_altcat_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.l1_altcat_1 B)) (forall ((C $$unsorted)) (=> (and (tptp.v10_functor0 C A B) (tptp.l2_functor0 C A B)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (forall ((E $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 E _let_2) (= (tptp.k2_binop_1 _let_2 _let_2 (tptp.k2_zfmisc_1 _let_1 _let_1) (tptp.u1_functor0 A B C) D E) (tptp.k4_tarski (tptp.k3_functor0 A B C D) (tptp.k3_functor0 A B C E))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_altcat_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.l1_altcat_1 B)) (forall ((C $$unsorted)) (=> (and (tptp.v10_functor0 C A B) (tptp.l2_functor0 C A B)) (= (tptp.v8_functor0 C A B) (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)) (not (and (not (= (tptp.k1_altcat_1 A D E) tptp.k1_xboole_0)) (= (tptp.k1_altcat_1 B (tptp.k3_functor0 A B C D) (tptp.k3_functor0 A B C E)) tptp.k1_xboole_0)))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_altcat_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.l1_altcat_1 B)) (forall ((C $$unsorted)) (=> (and (tptp.v11_functor0 C A B) (tptp.l2_functor0 C A B)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (forall ((E $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 E _let_2) (= (tptp.k2_binop_1 _let_2 _let_2 (tptp.k2_zfmisc_1 _let_1 _let_1) (tptp.u1_functor0 A B C) D E) (tptp.k4_tarski (tptp.k3_functor0 A B C E) (tptp.k3_functor0 A B C D))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_altcat_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.l1_altcat_1 B)) (forall ((C $$unsorted)) (=> (and (tptp.v11_functor0 C A B) (tptp.l2_functor0 C A B)) (= (tptp.v8_functor0 C A B) (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)) (not (and (not (= (tptp.k1_altcat_1 A D E) tptp.k1_xboole_0)) (= (tptp.k1_altcat_1 B (tptp.k3_functor0 A B C E) (tptp.k3_functor0 A B C D)) tptp.k1_xboole_0)))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v12_altcat_1 A) (tptp.l2_altcat_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v12_altcat_1 B) (tptp.l2_altcat_1 B)) (forall ((C $$unsorted)) (=> (tptp.l2_functor0 C A B) (= (tptp.v12_functor0 C A B) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (= (tptp.k1_funct_1 (tptp.k4_functor0 A B C D D) (tptp.k8_altcat_1 A D)) (tptp.k8_altcat_1 B (tptp.k3_functor0 A B C D)))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_altcat_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.l1_altcat_1 B)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 B)) (=> (not (= (tptp.k1_altcat_1 B C C) tptp.k1_xboole_0)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_altcat_1 B C C)) (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)) (forall ((G $$unsorted)) (let ((_let_1 (tptp.k1_altcat_1 A E F))) (=> (tptp.m1_subset_1 G _let_1) (=> (not (= _let_1 tptp.k1_xboole_0)) (= (tptp.k1_funct_1 (tptp.k4_functor0 A B (tptp.k9_functor0 A B C D) E F) G) D)))))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l2_altcat_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.l2_altcat_1 B)) (forall ((C $$unsorted)) (=> (tptp.l2_functor0 C A B) (= (tptp.v13_functor0 C A B) (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 $$unsorted)) (=> (tptp.m1_subset_1 F (tptp.u1_struct_0 A)) (not (and (not (= (tptp.k1_altcat_1 A D E) tptp.k1_xboole_0)) (not (= (tptp.k1_altcat_1 A E F) tptp.k1_xboole_0)) (exists ((G $$unsorted)) (and (tptp.m1_subset_1 G (tptp.k1_altcat_1 A D E)) (exists ((H $$unsorted)) (and (tptp.m1_subset_1 H (tptp.k1_altcat_1 A E F)) (forall ((I $$unsorted)) (=> (tptp.m1_subset_1 I (tptp.k1_altcat_1 B (tptp.k3_functor0 A B C D) (tptp.k3_functor0 A B C E))) (forall ((J $$unsorted)) (let ((_let_1 (tptp.k3_functor0 A B C F))) (let ((_let_2 (tptp.k3_functor0 A B C E))) (=> (tptp.m1_subset_1 J (tptp.k1_altcat_1 B _let_2 _let_1)) (not (and (= I (tptp.k1_funct_1 (tptp.k4_functor0 A B C D E) G)) (= J (tptp.k1_funct_1 (tptp.k4_functor0 A B C E F) H)) (= (tptp.k1_funct_1 (tptp.k4_functor0 A B C D F) (tptp.k5_altcat_1 A D E F G H)) (tptp.k5_altcat_1 B (tptp.k3_functor0 A B C D) _let_2 _let_1 I J))))))))))))))))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l2_altcat_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.l2_altcat_1 B)) (forall ((C $$unsorted)) (=> (tptp.l2_functor0 C A B) (= (tptp.v14_functor0 C A B) (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 $$unsorted)) (=> (tptp.m1_subset_1 F (tptp.u1_struct_0 A)) (not (and (not (= (tptp.k1_altcat_1 A D E) tptp.k1_xboole_0)) (not (= (tptp.k1_altcat_1 A E F) tptp.k1_xboole_0)) (exists ((G $$unsorted)) (and (tptp.m1_subset_1 G (tptp.k1_altcat_1 A D E)) (exists ((H $$unsorted)) (and (tptp.m1_subset_1 H (tptp.k1_altcat_1 A E F)) (forall ((I $$unsorted)) (=> (tptp.m1_subset_1 I (tptp.k1_altcat_1 B (tptp.k3_functor0 A B C E) (tptp.k3_functor0 A B C D))) (forall ((J $$unsorted)) (let ((_let_1 (tptp.k3_functor0 A B C E))) (let ((_let_2 (tptp.k3_functor0 A B C F))) (=> (tptp.m1_subset_1 J (tptp.k1_altcat_1 B _let_2 _let_1)) (not (and (= I (tptp.k1_funct_1 (tptp.k4_functor0 A B C D E) G)) (= J (tptp.k1_funct_1 (tptp.k4_functor0 A B C E F) H)) (= (tptp.k1_funct_1 (tptp.k4_functor0 A B C D F) (tptp.k5_altcat_1 A D E F G H)) (tptp.k5_altcat_1 B _let_2 _let_1 (tptp.k3_functor0 A B C D) J I))))))))))))))))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_altcat_1 A) (tptp.l2_altcat_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v1_altcat_2 B) (tptp.l2_altcat_1 B)) (forall ((C $$unsorted)) (=> (and (tptp.v8_functor0 C A B) (tptp.v10_functor0 C A B) (tptp.l2_functor0 C A B)) (= (tptp.v13_functor0 C A B) (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 $$unsorted)) (=> (tptp.m1_subset_1 F (tptp.u1_struct_0 A)) (not (and (not (= (tptp.k1_altcat_1 A D E) tptp.k1_xboole_0)) (not (= (tptp.k1_altcat_1 A E F) tptp.k1_xboole_0)) (not (forall ((G $$unsorted)) (=> (tptp.m1_subset_1 G (tptp.k1_altcat_1 A D E)) (forall ((H $$unsorted)) (=> (tptp.m1_subset_1 H (tptp.k1_altcat_1 A E F)) (= (tptp.k6_functor0 A B C D F (tptp.k5_altcat_1 A D E F G H)) (tptp.k5_altcat_1 B (tptp.k3_functor0 A B C D) (tptp.k3_functor0 A B C E) (tptp.k3_functor0 A B C F) (tptp.k6_functor0 A B C D E G) (tptp.k6_functor0 A B C E F H))))))))))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_altcat_1 A) (tptp.l2_altcat_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v1_altcat_2 B) (tptp.l2_altcat_1 B)) (forall ((C $$unsorted)) (=> (and (tptp.v8_functor0 C A B) (tptp.v11_functor0 C A B) (tptp.l2_functor0 C A B)) (= (tptp.v14_functor0 C A B) (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 $$unsorted)) (=> (tptp.m1_subset_1 F (tptp.u1_struct_0 A)) (not (and (not (= (tptp.k1_altcat_1 A D E) tptp.k1_xboole_0)) (not (= (tptp.k1_altcat_1 A E F) tptp.k1_xboole_0)) (not (forall ((G $$unsorted)) (=> (tptp.m1_subset_1 G (tptp.k1_altcat_1 A D E)) (forall ((H $$unsorted)) (=> (tptp.m1_subset_1 H (tptp.k1_altcat_1 A E F)) (= (tptp.k8_functor0 A B C D F (tptp.k5_altcat_1 A D E F G H)) (tptp.k5_altcat_1 B (tptp.k3_functor0 A B C F) (tptp.k3_functor0 A B C E) (tptp.k3_functor0 A B C D) (tptp.k8_functor0 A B C E F H) (tptp.k8_functor0 A B C D E G))))))))))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_altcat_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v1_altcat_2 B) (tptp.l1_altcat_1 B)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 B)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_altcat_1 B C C)) (forall ((E $$unsorted)) (=> (and (tptp.v8_functor0 E A B) (tptp.v10_functor0 E A B) (tptp.l2_functor0 E A B)) (=> (= E (tptp.k9_functor0 A B C D)) (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F (tptp.u1_struct_0 A)) (forall ((G $$unsorted)) (=> (tptp.m1_subset_1 G (tptp.u1_struct_0 A)) (forall ((H $$unsorted)) (let ((_let_1 (tptp.k1_altcat_1 A F G))) (=> (tptp.m1_subset_1 H _let_1) (=> (not (= _let_1 tptp.k1_xboole_0)) (= (tptp.k6_functor0 A B E F G H) D)))))))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_altcat_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v1_altcat_2 B) (tptp.l1_altcat_1 B)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 B)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_altcat_1 B C C)) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.u1_struct_0 A)) (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F (tptp.u1_struct_0 A)) (forall ((G $$unsorted)) (let ((_let_1 (tptp.k1_altcat_1 A E F))) (=> (tptp.m1_subset_1 G _let_1) (=> (not (= _let_1 tptp.k1_xboole_0)) (= (tptp.k8_functor0 A B (tptp.k9_functor0 A B C D) E F G) D))))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_altcat_1 A) (tptp.v12_altcat_1 A) (tptp.l2_altcat_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v12_altcat_1 B) (tptp.l2_altcat_1 B)) (forall ((C $$unsorted)) (=> (tptp.l2_functor0 C A B) (= (tptp.m2_functor0 C A B) (and (tptp.v8_functor0 C A B) (tptp.v12_functor0 C A B) (or (and (tptp.v10_functor0 C A B) (tptp.v13_functor0 C A B)) (and (tptp.v11_functor0 C A B) (tptp.v14_functor0 C A B))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_altcat_1 A) (tptp.v12_altcat_1 A) (tptp.l2_altcat_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v12_altcat_1 B) (tptp.l2_altcat_1 B)) (forall ((C $$unsorted)) (=> (tptp.m2_functor0 C A B) (= (tptp.v15_functor0 C A B) (and (tptp.v10_functor0 C A B) (tptp.v13_functor0 C A B))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_altcat_1 A) (tptp.v12_altcat_1 A) (tptp.l2_altcat_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v12_altcat_1 B) (tptp.l2_altcat_1 B)) (forall ((C $$unsorted)) (=> (tptp.m2_functor0 C A B) (= (tptp.v16_functor0 C A B) (and (tptp.v11_functor0 C A B) (tptp.v14_functor0 C A B))))))))) (forall ((A $$unsorted)) (=> (tptp.l2_altcat_1 A) (forall ((B $$unsorted)) (=> (tptp.m1_altcat_2 B A) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.k2_zfmisc_1 _let_1 _let_1))) (=> (and (tptp.v9_functor0 C B A) (tptp.l2_functor0 C B A)) (= (= C (tptp.k10_functor0 A B)) (and (= (tptp.u1_functor0 B A C) (tptp.k6_partfun1 _let_2)) (tptp.r6_pboole _let_2 (tptp.u2_functor0 B A C) (tptp.k2_msualg_3 _let_2 (tptp.u1_altcat_1 B))))))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_altcat_1 A) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.k2_zfmisc_1 _let_1 _let_1))) (=> (and (tptp.v9_functor0 B A A) (tptp.l2_functor0 B A A)) (= (= B (tptp.k11_functor0 A)) (and (= (tptp.u1_functor0 A A B) (tptp.k6_partfun1 _let_2)) (tptp.r6_pboole _let_2 (tptp.u2_functor0 A A B) (tptp.k2_msualg_3 _let_2 (tptp.u1_altcat_1 A))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l2_altcat_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.m1_altcat_2 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 B)) (= (tptp.k3_functor0 B A (tptp.k10_functor0 A B) C) C))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l2_altcat_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.m1_altcat_2 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 B)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k10_functor0 A B))) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 B)) (tptp.r1_tarski (tptp.k1_altcat_1 B C D) (tptp.k1_altcat_1 A (tptp.k3_functor0 B A _let_1 C) (tptp.k3_functor0 B A _let_1 D)))))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_altcat_1 A) (forall ((B $$unsorted)) (=> (tptp.l1_altcat_1 B) (forall ((C $$unsorted)) (=> (tptp.l2_functor0 C A B) (= (tptp.v17_functor0 C A B) (tptp.v1_msualg_3 (tptp.u2_functor0 A B C))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_altcat_1 A) (forall ((B $$unsorted)) (=> (tptp.l1_altcat_1 B) (forall ((C $$unsorted)) (=> (tptp.l2_functor0 C A B) (= (tptp.v18_functor0 C A B) (exists ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (and (tptp.m1_pboole D (tptp.k2_zfmisc_1 _let_1 _let_1)) (exists ((E $$unsorted)) (let ((_let_1 (tptp.u1_altcat_1 A))) (let ((_let_2 (tptp.u1_struct_0 A))) (let ((_let_3 (tptp.k2_zfmisc_1 _let_2 _let_2))) (and (tptp.m3_pboole E _let_3 _let_1 D) (= D (tptp.k5_relat_1 (tptp.u1_functor0 A B C) (tptp.u1_altcat_1 B))) (tptp.r6_pboole _let_3 E (tptp.u2_functor0 A B C)) (tptp.v2_msualg_3 E _let_3 _let_1 D)))))))))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_altcat_1 A) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.l1_altcat_1 B)) (forall ((C $$unsorted)) (=> (tptp.l2_functor0 C A B) (= (tptp.v18_functor0 C A B) (exists ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (let ((_let_3 (tptp.k2_zfmisc_1 _let_2 _let_2))) (let ((_let_4 (tptp.k7_pboole _let_3 (tptp.k2_zfmisc_1 _let_1 _let_1) (tptp.u1_functor0 A B C) (tptp.u1_altcat_1 B)))) (let ((_let_5 (tptp.u1_altcat_1 A))) (and (tptp.m3_pboole D _let_3 _let_5 _let_4) (tptp.r6_pboole _let_3 D (tptp.u2_functor0 A B C)) (tptp.v2_msualg_3 D _let_3 _let_5 _let_4))))))))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_altcat_1 A) (forall ((B $$unsorted)) (=> (tptp.l1_altcat_1 B) (forall ((C $$unsorted)) (=> (tptp.l2_functor0 C A B) (= (tptp.v19_functor0 C A B) (and (tptp.v4_functor0 C A B) (tptp.v17_functor0 C A B))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_altcat_1 A) (forall ((B $$unsorted)) (=> (tptp.l1_altcat_1 B) (forall ((C $$unsorted)) (=> (tptp.l2_functor0 C A B) (= (tptp.v20_functor0 C A B) (and (tptp.v18_functor0 C A B) (tptp.v5_functor0 C A B))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_altcat_1 A) (forall ((B $$unsorted)) (=> (tptp.l1_altcat_1 B) (forall ((C $$unsorted)) (=> (tptp.l2_functor0 C A B) (= (tptp.v21_functor0 C A B) (and (tptp.v19_functor0 C A B) (tptp.v20_functor0 C A B))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_altcat_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (= (tptp.k3_functor0 A A (tptp.k11_functor0 A) B) B))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_altcat_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (=> (not (= (tptp.k1_altcat_1 A B C) tptp.k1_xboole_0)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_altcat_1 A B C)) (= (tptp.k1_funct_1 (tptp.k4_functor0 A A (tptp.k11_functor0 A) B C) D) D)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_altcat_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (=> (not (= (tptp.k1_altcat_1 A B C) tptp.k1_xboole_0)) (forall ((D $$unsorted)) (=> (and (tptp.v8_functor0 D A A) (tptp.v10_functor0 D A A) (tptp.l2_functor0 D A A)) (=> (= D (tptp.k11_functor0 A)) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.k1_altcat_1 A B C)) (= (tptp.k6_functor0 A A D B C E) E))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_altcat_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v1_altcat_2 B) (tptp.l1_altcat_1 B)) (forall ((C $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.v1_altcat_2 C) (tptp.l1_altcat_1 C)) (forall ((D $$unsorted)) (=> (and (tptp.v8_functor0 D A B) (tptp.l2_functor0 D A B)) (forall ((E $$unsorted)) (=> (tptp.l2_functor0 E B C) (forall ((F $$unsorted)) (let ((_let_1 (tptp.u1_functor0 A B D))) (let ((_let_2 (tptp.u1_struct_0 B))) (let ((_let_3 (tptp.k2_zfmisc_1 _let_2 _let_2))) (let ((_let_4 (tptp.u1_struct_0 A))) (let ((_let_5 (tptp.k2_zfmisc_1 _let_4 _let_4))) (let ((_let_6 (tptp.u1_struct_0 C))) (=> (and (tptp.v9_functor0 F A C) (tptp.l2_functor0 F A C)) (= (= F (tptp.k13_functor0 A B C D E)) (and (= (tptp.u1_functor0 A C F) (tptp.k7_funct_2 _let_5 _let_3 (tptp.k2_zfmisc_1 _let_6 _let_6) _let_1 (tptp.u1_functor0 B C E))) (tptp.r6_pboole _let_5 (tptp.u2_functor0 A C F) (tptp.k3_altcat_2 _let_5 (tptp.u2_functor0 A B D) (tptp.k7_pboole _let_5 _let_3 _let_1 (tptp.u2_functor0 B C E)))))))))))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_altcat_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v1_altcat_2 B) (tptp.l1_altcat_1 B)) (forall ((C $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.v1_altcat_2 C) (tptp.l1_altcat_1 C)) (forall ((D $$unsorted)) (=> (and (not (tptp.v3_struct_0 D)) (tptp.v1_altcat_2 D) (tptp.l1_altcat_1 D)) (forall ((E $$unsorted)) (=> (and (tptp.v8_functor0 E A B) (tptp.l2_functor0 E A B)) (forall ((F $$unsorted)) (=> (and (tptp.v8_functor0 F B C) (tptp.l2_functor0 F B C)) (forall ((G $$unsorted)) (=> (tptp.l2_functor0 G C D) (= (tptp.k13_functor0 A B D E (tptp.k13_functor0 B C D F G)) (tptp.k13_functor0 A C D (tptp.k13_functor0 A B C E F) G)))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l2_altcat_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v1_altcat_2 B) (tptp.l2_altcat_1 B)) (forall ((C $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.v1_altcat_2 C) (tptp.l2_altcat_1 C)) (forall ((D $$unsorted)) (=> (and (tptp.v6_functor0 D A B) (tptp.v8_functor0 D A B) (tptp.l2_functor0 D A B)) (forall ((E $$unsorted)) (=> (tptp.l2_functor0 E B C) (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F (tptp.u1_struct_0 A)) (= (tptp.k3_functor0 A C (tptp.k13_functor0 A B C D E) F) (tptp.k3_functor0 B C E (tptp.k3_functor0 A B D F))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_altcat_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v1_altcat_2 B) (tptp.l1_altcat_1 B)) (forall ((C $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.v1_altcat_2 C) (tptp.l1_altcat_1 C)) (forall ((D $$unsorted)) (=> (and (tptp.v6_functor0 D A B) (tptp.v8_functor0 D A B) (tptp.l2_functor0 D A B)) (forall ((E $$unsorted)) (=> (tptp.l2_functor0 E B C) (forall ((F $$unsorted)) (let ((_let_1 (tptp.k3_functor0 A B D F))) (=> (tptp.m1_subset_1 F (tptp.u1_struct_0 A)) (= (tptp.k4_functor0 A C (tptp.k13_functor0 A B C D E) F F) (tptp.k5_relat_1 (tptp.k4_functor0 A B D F F) (tptp.k4_functor0 B C E _let_1 _let_1)))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v1_altcat_2 A) (tptp.l2_altcat_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v1_altcat_2 B) (tptp.l2_altcat_1 B)) (forall ((C $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.m1_altcat_2 C A)) (forall ((D $$unsorted)) (=> (tptp.l2_functor0 D A B) (= (tptp.k14_functor0 A B C D) (tptp.k13_functor0 C A B (tptp.k10_functor0 A C) D)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_altcat_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.l1_altcat_1 B)) (forall ((C $$unsorted)) (=> (tptp.l2_functor0 C A B) (=> (tptp.v21_functor0 C A B) (forall ((D $$unsorted)) (=> (and (tptp.v9_functor0 D B A) (tptp.l2_functor0 D B A)) (= (= D (tptp.k15_functor0 A B C)) (and (= (tptp.u1_functor0 B A D) (tptp.k2_funct_1 (tptp.u1_functor0 A B C))) (exists ((E $$unsorted)) (let ((_let_1 (tptp.u1_functor0 A B C))) (let ((_let_2 (tptp.u1_struct_0 B))) (let ((_let_3 (tptp.u1_struct_0 A))) (let ((_let_4 (tptp.k2_zfmisc_1 _let_3 _let_3))) (let ((_let_5 (tptp.k7_pboole _let_4 (tptp.k2_zfmisc_1 _let_2 _let_2) _let_1 (tptp.u1_altcat_1 B)))) (let ((_let_6 (tptp.u1_altcat_1 A))) (and (tptp.m3_pboole E _let_4 _let_6 _let_5) (tptp.r6_pboole _let_4 E (tptp.u2_functor0 A B C)) (= (tptp.u2_functor0 B A D) (tptp.k5_relat_1 (tptp.k2_funct_1 _let_1) (tptp.k4_msualg_3 _let_4 _let_6 _let_5 E)))))))))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_altcat_1 A) (tptp.v12_altcat_1 A) (tptp.l2_altcat_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_altcat_1 B) (tptp.v12_altcat_1 B) (tptp.l2_altcat_1 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k15_functor0 A B C))) (=> (and (tptp.v8_functor0 C A B) (tptp.l2_functor0 C A B)) (=> (tptp.v21_functor0 C A B) (and (tptp.v21_functor0 _let_1 B A) (tptp.v8_functor0 _let_1 B A)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_altcat_1 A) (tptp.v12_altcat_1 A) (tptp.l2_altcat_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_altcat_1 B) (tptp.v12_altcat_1 B) (tptp.l2_altcat_1 B)) (forall ((C $$unsorted)) (=> (and (tptp.v6_functor0 C A B) (tptp.v8_functor0 C A B) (tptp.l2_functor0 C A B)) (=> (and (tptp.v21_functor0 C A B) (tptp.v7_functor0 C A B)) (tptp.v6_functor0 (tptp.k15_functor0 A B C) B A)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_altcat_1 A) (tptp.v12_altcat_1 A) (tptp.l2_altcat_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_altcat_1 B) (tptp.v12_altcat_1 B) (tptp.l2_altcat_1 B)) (forall ((C $$unsorted)) (=> (and (tptp.v6_functor0 C A B) (tptp.v8_functor0 C A B) (tptp.v12_functor0 C A B) (tptp.l2_functor0 C A B)) (=> (and (tptp.v21_functor0 C A B) (tptp.v7_functor0 C A B)) (tptp.v12_functor0 (tptp.k15_functor0 A B C) B A)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_altcat_1 A) (tptp.v12_altcat_1 A) (tptp.l2_altcat_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_altcat_1 B) (tptp.v12_altcat_1 B) (tptp.l2_altcat_1 B)) (forall ((C $$unsorted)) (=> (and (tptp.v8_functor0 C A B) (tptp.l2_functor0 C A B)) (=> (and (tptp.v21_functor0 C A B) (tptp.v10_functor0 C A B)) (tptp.v10_functor0 (tptp.k15_functor0 A B C) B A)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_altcat_1 A) (tptp.v12_altcat_1 A) (tptp.l2_altcat_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_altcat_1 B) (tptp.v12_altcat_1 B) (tptp.l2_altcat_1 B)) (forall ((C $$unsorted)) (=> (and (tptp.v8_functor0 C A B) (tptp.l2_functor0 C A B)) (=> (and (tptp.v21_functor0 C A B) (tptp.v11_functor0 C A B)) (tptp.v11_functor0 (tptp.k15_functor0 A B C) B A)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_altcat_1 A) (tptp.v12_altcat_1 A) (tptp.l2_altcat_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_altcat_1 B) (tptp.v12_altcat_1 B) (tptp.l2_altcat_1 B)) (forall ((C $$unsorted)) (=> (and (tptp.v6_functor0 C A B) (tptp.v8_functor0 C A B) (tptp.l2_functor0 C A B)) (=> (and (tptp.v21_functor0 C A B) (tptp.v7_functor0 C A B) (tptp.v10_functor0 C A B)) (forall ((D $$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.k15_functor0 A B C))) (let ((_let_2 (tptp.k1_altcat_1 B D E))) (=> (tptp.m1_subset_1 F _let_2) (=> (not (= _let_2 tptp.k1_xboole_0)) (= (tptp.k1_funct_1 (tptp.k4_functor0 A B C (tptp.k3_functor0 B A _let_1 D) (tptp.k3_functor0 B A _let_1 E)) (tptp.k1_funct_1 (tptp.k4_functor0 B A _let_1 D E) F)) F))))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_altcat_1 A) (tptp.v12_altcat_1 A) (tptp.l2_altcat_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_altcat_1 B) (tptp.v12_altcat_1 B) (tptp.l2_altcat_1 B)) (forall ((C $$unsorted)) (=> (and (tptp.v6_functor0 C A B) (tptp.v8_functor0 C A B) (tptp.l2_functor0 C A B)) (=> (and (tptp.v21_functor0 C A B) (tptp.v7_functor0 C A B) (tptp.v11_functor0 C A B)) (forall ((D $$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.k15_functor0 A B C))) (let ((_let_2 (tptp.k1_altcat_1 B D E))) (=> (tptp.m1_subset_1 F _let_2) (=> (not (= _let_2 tptp.k1_xboole_0)) (= (tptp.k1_funct_1 (tptp.k4_functor0 A B C (tptp.k3_functor0 B A _let_1 E) (tptp.k3_functor0 B A _let_1 D)) (tptp.k1_funct_1 (tptp.k4_functor0 B A _let_1 D E) F)) F))))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_altcat_1 A) (tptp.v12_altcat_1 A) (tptp.l2_altcat_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_altcat_1 B) (tptp.v12_altcat_1 B) (tptp.l2_altcat_1 B)) (forall ((C $$unsorted)) (=> (and (tptp.v6_functor0 C A B) (tptp.v8_functor0 C A B) (tptp.l2_functor0 C A B)) (=> (and (tptp.v21_functor0 C A B) (tptp.v13_functor0 C A B) (tptp.v10_functor0 C A B) (tptp.v7_functor0 C A B)) (tptp.v13_functor0 (tptp.k15_functor0 A B C) B A)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_altcat_1 A) (tptp.v12_altcat_1 A) (tptp.l2_altcat_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_altcat_1 B) (tptp.v12_altcat_1 B) (tptp.l2_altcat_1 B)) (forall ((C $$unsorted)) (=> (and (tptp.v6_functor0 C A B) (tptp.v8_functor0 C A B) (tptp.l2_functor0 C A B)) (=> (and (tptp.v21_functor0 C A B) (tptp.v14_functor0 C A B) (tptp.v11_functor0 C A B) (tptp.v7_functor0 C A B)) (tptp.v14_functor0 (tptp.k15_functor0 A B C) B A)))))))) (forall ((A $$unsorted)) (=> (tptp.l1_struct_0 A) (forall ((B $$unsorted)) (=> (tptp.l1_struct_0 B) (forall ((C $$unsorted)) (=> (tptp.l1_functor0 C A B) (=> (and (tptp.v10_functor0 C A B) (tptp.v5_functor0 C A B)) (tptp.v7_functor0 C A B)))))))) (forall ((A $$unsorted)) (=> (tptp.l1_struct_0 A) (forall ((B $$unsorted)) (=> (tptp.l1_struct_0 B) (forall ((C $$unsorted)) (=> (tptp.l1_functor0 C A B) (=> (and (tptp.v11_functor0 C A B) (tptp.v5_functor0 C A B)) (tptp.v7_functor0 C A B)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_altcat_1 A) (tptp.v12_altcat_1 A) (tptp.l2_altcat_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v12_altcat_1 B) (tptp.l2_altcat_1 B)) (forall ((C $$unsorted)) (=> (tptp.m2_functor0 C A B) (=> (and (tptp.v15_functor0 C A B) (tptp.v5_functor0 C A B)) (tptp.v7_functor0 C A B)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_altcat_1 A) (tptp.v12_altcat_1 A) (tptp.l2_altcat_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v12_altcat_1 B) (tptp.l2_altcat_1 B)) (forall ((C $$unsorted)) (=> (tptp.m2_functor0 C A B) (=> (and (tptp.v16_functor0 C A B) (tptp.v5_functor0 C A B)) (tptp.v7_functor0 C A B)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_altcat_1 A) (tptp.v12_altcat_1 A) (tptp.l2_altcat_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_altcat_1 B) (tptp.v12_altcat_1 B) (tptp.l2_altcat_1 B)) (forall ((C $$unsorted)) (=> (and (tptp.v15_functor0 C A B) (tptp.m2_functor0 C A B)) (not (and (tptp.v21_functor0 C A B) (forall ((D $$unsorted)) (=> (tptp.m2_functor0 D B A) (not (and (= D (tptp.k15_functor0 A B C)) (tptp.v21_functor0 D B A) (tptp.v15_functor0 D B A))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_altcat_1 A) (tptp.v12_altcat_1 A) (tptp.l2_altcat_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_altcat_1 B) (tptp.v12_altcat_1 B) (tptp.l2_altcat_1 B)) (forall ((C $$unsorted)) (=> (and (tptp.v16_functor0 C A B) (tptp.m2_functor0 C A B)) (not (and (tptp.v21_functor0 C A B) (forall ((D $$unsorted)) (=> (tptp.m2_functor0 D B A) (not (and (= D (tptp.k15_functor0 A B C)) (tptp.v21_functor0 D B A) (tptp.v16_functor0 D B A))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_altcat_1 A) (tptp.v12_altcat_1 A) (tptp.l2_altcat_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_altcat_1 B) (tptp.v12_altcat_1 B) (tptp.l2_altcat_1 B)) (= (tptp.r1_functor0 A B) (exists ((C $$unsorted)) (and (tptp.m2_functor0 C A B) (tptp.v21_functor0 C A B) (tptp.v15_functor0 C A B)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_altcat_1 A) (tptp.v12_altcat_1 A) (tptp.l2_altcat_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_altcat_1 B) (tptp.v12_altcat_1 B) (tptp.l2_altcat_1 B)) (= (tptp.r2_functor0 A B) (exists ((C $$unsorted)) (and (tptp.m2_functor0 C A B) (tptp.v21_functor0 C A B) (tptp.v16_functor0 C A B)))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C A B) (tptp.m1_relset_1 C A B) (tptp.m1_pboole D A) (tptp.m1_pboole E B)) (forall ((F $$unsorted)) (=> (tptp.m1_functor0 F A B C D E) (tptp.m1_pboole F A))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C A B) (tptp.m1_relset_1 C A B) (tptp.m1_pboole D A) (tptp.m1_pboole E B)) (exists ((F $$unsorted)) (tptp.m1_functor0 F A B C D E)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_altcat_1 A) (tptp.v12_altcat_1 A) (tptp.l2_altcat_1 A) (not (tptp.v3_struct_0 B)) (tptp.v12_altcat_1 B) (tptp.l2_altcat_1 B)) (forall ((C $$unsorted)) (=> (tptp.m2_functor0 C A B) (tptp.l2_functor0 C A B))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_altcat_1 A) (tptp.v12_altcat_1 A) (tptp.l2_altcat_1 A) (not (tptp.v3_struct_0 B)) (tptp.v12_altcat_1 B) (tptp.l2_altcat_1 B)) (exists ((C $$unsorted)) (tptp.m2_functor0 C A B)))) true (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.l1_struct_0 A) (tptp.l1_struct_0 B)) (exists ((C $$unsorted)) (tptp.l1_functor0 C A B)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.l1_altcat_1 A) (tptp.l1_altcat_1 B)) (forall ((C $$unsorted)) (=> (tptp.l2_functor0 C A B) (tptp.l1_functor0 C A B))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.l1_altcat_1 A) (tptp.l1_altcat_1 B)) (exists ((C $$unsorted)) (tptp.l2_functor0 C A B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.l1_struct_0 A) (tptp.l1_struct_0 B) (tptp.l1_functor0 C A B)) (=> (tptp.v3_functor0 C A B) (= C (tptp.g1_functor0 A B (tptp.u1_functor0 A B C)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.l1_altcat_1 A) (tptp.l1_altcat_1 B) (tptp.l2_functor0 C A B)) (=> (tptp.v9_functor0 C A B) (= C (tptp.g2_functor0 A B (tptp.u1_functor0 A B C) (tptp.u2_functor0 A B C)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_altcat_1 A) (tptp.v12_altcat_1 A) (tptp.l2_altcat_1 A) (not (tptp.v3_struct_0 B)) (tptp.v2_altcat_1 B) (tptp.v12_altcat_1 B) (tptp.l2_altcat_1 B)) (=> (tptp.r1_functor0 A B) (tptp.r1_functor0 B A)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_altcat_1 A) (tptp.v12_altcat_1 A) (tptp.l2_altcat_1 A) (not (tptp.v3_struct_0 B)) (tptp.v2_altcat_1 B) (tptp.v12_altcat_1 B) (tptp.l2_altcat_1 B)) (tptp.r1_functor0 A A))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_altcat_1 A) (tptp.v12_altcat_1 A) (tptp.l2_altcat_1 A) (not (tptp.v3_struct_0 B)) (tptp.v2_altcat_1 B) (tptp.v12_altcat_1 B) (tptp.l2_altcat_1 B)) (=> (tptp.r2_functor0 A B) (tptp.r2_functor0 B A)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 B A))) (let ((_let_2 (tptp.k1_functor0 A B C D))) (let ((_let_3 (tptp.k2_zfmisc_1 A B))) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D _let_3 C) (tptp.m1_relset_1 D _let_3 C)) (and (tptp.v1_funct_1 _let_2) (tptp.v1_funct_2 _let_2 _let_1 C) (tptp.m2_relset_1 _let_2 _let_1 C))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A B))) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D _let_1 C) (tptp.m1_relset_1 D _let_1 C)) (= (tptp.k1_functor0 A B C D) (tptp.k2_funct_4 D))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted)) (let ((_let_1 (tptp.k16_funct_3 A A B B C C))) (let ((_let_2 (tptp.k2_zfmisc_1 B B))) (let ((_let_3 (tptp.k2_zfmisc_1 A A))) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C A B) (tptp.m1_relset_1 C A B) (tptp.m1_pboole D _let_3) (tptp.m1_pboole E _let_2) (tptp.m1_functor0 F _let_3 _let_2 _let_1 D E)) (tptp.m1_functor0 (tptp.k2_functor0 A B C D E F) _let_3 _let_2 _let_1 (tptp.k1_altcat_2 A D) (tptp.k1_altcat_2 B E))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 B B))) (let ((_let_2 (tptp.k2_zfmisc_1 A A))) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C A B) (tptp.m1_relset_1 C A B) (tptp.m1_pboole D _let_2) (tptp.m1_pboole E _let_1) (tptp.m1_functor0 F _let_2 _let_1 (tptp.k16_funct_3 A A B B C C) D E)) (= (tptp.k2_functor0 A B C D E F) (tptp.k2_funct_4 F)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_altcat_1 A) (not (tptp.v3_struct_0 B)) (tptp.l1_altcat_1 B) (tptp.l1_functor0 C A B) (tptp.m1_subset_1 D (tptp.u1_struct_0 A))) (tptp.m1_subset_1 (tptp.k3_functor0 A B C D) (tptp.u1_struct_0 B)))) true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (let ((_let_1 (tptp.k1_altcat_1 B (tptp.k3_functor0 A B C D) (tptp.k3_functor0 A B C E)))) (let ((_let_2 (tptp.k1_altcat_1 A D E))) (let ((_let_3 (tptp.k5_functor0 A B C D E))) (let ((_let_4 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_altcat_1 A) (not (tptp.v3_struct_0 B)) (tptp.l1_altcat_1 B) (tptp.v10_functor0 C A B) (tptp.l2_functor0 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 $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_altcat_1 A) (not (tptp.v3_struct_0 B)) (tptp.l1_altcat_1 B) (tptp.v10_functor0 C A B) (tptp.l2_functor0 C A B) (tptp.m1_subset_1 D _let_1) (tptp.m1_subset_1 E _let_1)) (= (tptp.k5_functor0 A B C D E) (tptp.k4_functor0 A B C D E))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_altcat_1 A) (not (tptp.v3_struct_0 B)) (tptp.l1_altcat_1 B) (tptp.v10_functor0 C A B) (tptp.l2_functor0 C A B) (tptp.m1_subset_1 D _let_1) (tptp.m1_subset_1 E _let_1) (tptp.m1_subset_1 F (tptp.k1_altcat_1 A D E))) (tptp.m1_subset_1 (tptp.k6_functor0 A B C D E F) (tptp.k1_altcat_1 B (tptp.k3_functor0 A B C D) (tptp.k3_functor0 A B C E)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (let ((_let_1 (tptp.k1_altcat_1 B (tptp.k3_functor0 A B C E) (tptp.k3_functor0 A B C D)))) (let ((_let_2 (tptp.k1_altcat_1 A D E))) (let ((_let_3 (tptp.k7_functor0 A B C D E))) (let ((_let_4 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_altcat_1 A) (not (tptp.v3_struct_0 B)) (tptp.l1_altcat_1 B) (tptp.v11_functor0 C A B) (tptp.l2_functor0 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 $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_altcat_1 A) (not (tptp.v3_struct_0 B)) (tptp.l1_altcat_1 B) (tptp.v11_functor0 C A B) (tptp.l2_functor0 C A B) (tptp.m1_subset_1 D _let_1) (tptp.m1_subset_1 E _let_1)) (= (tptp.k7_functor0 A B C D E) (tptp.k4_functor0 A B C D E))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_altcat_1 A) (not (tptp.v3_struct_0 B)) (tptp.l1_altcat_1 B) (tptp.v11_functor0 C A B) (tptp.l2_functor0 C A B) (tptp.m1_subset_1 D _let_1) (tptp.m1_subset_1 E _let_1) (tptp.m1_subset_1 F (tptp.k1_altcat_1 A D E))) (tptp.m1_subset_1 (tptp.k8_functor0 A B C D E F) (tptp.k1_altcat_1 B (tptp.k3_functor0 A B C E) (tptp.k3_functor0 A B C D)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k9_functor0 A B C D))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_altcat_1 A) (not (tptp.v3_struct_0 B)) (tptp.l1_altcat_1 B) (tptp.m1_subset_1 C (tptp.u1_struct_0 B)) (tptp.m1_subset_1 D (tptp.k1_altcat_1 B C C))) (and (tptp.v9_functor0 _let_1 A B) (tptp.l2_functor0 _let_1 A B))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k10_functor0 A B))) (=> (and (tptp.l2_altcat_1 A) (tptp.m1_altcat_2 B A)) (and (tptp.v9_functor0 _let_1 B A) (tptp.l2_functor0 _let_1 B A))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k11_functor0 A))) (=> (tptp.l1_altcat_1 A) (and (tptp.v9_functor0 _let_1 A A) (tptp.l2_functor0 _let_1 A A))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k12_functor0 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_altcat_1 A) (tptp.v12_altcat_1 A) (tptp.l2_altcat_1 A)) (and (tptp.v9_functor0 _let_1 A A) (tptp.v15_functor0 _let_1 A A) (tptp.m2_functor0 _let_1 A A))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_altcat_1 A) (tptp.v12_altcat_1 A) (tptp.l2_altcat_1 A)) (= (tptp.k12_functor0 A) (tptp.k11_functor0 A)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (let ((_let_1 (tptp.k13_functor0 A B C D E))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_altcat_1 A) (not (tptp.v3_struct_0 B)) (tptp.v1_altcat_2 B) (tptp.l1_altcat_1 B) (not (tptp.v3_struct_0 C)) (tptp.v1_altcat_2 C) (tptp.l1_altcat_1 C) (tptp.v8_functor0 D A B) (tptp.l2_functor0 D A B) (tptp.l2_functor0 E B C)) (and (tptp.v9_functor0 _let_1 A C) (tptp.l2_functor0 _let_1 A C))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v1_altcat_2 A) (tptp.l2_altcat_1 A) (not (tptp.v3_struct_0 B)) (tptp.v1_altcat_2 B) (tptp.l2_altcat_1 B) (not (tptp.v3_struct_0 C)) (tptp.m1_altcat_2 C A) (tptp.l2_functor0 D A B)) (tptp.l2_functor0 (tptp.k14_functor0 A B C D) C B))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k15_functor0 A B C))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_altcat_1 A) (not (tptp.v3_struct_0 B)) (tptp.l1_altcat_1 B) (tptp.l2_functor0 C A B)) (and (tptp.v9_functor0 _let_1 B A) (tptp.l2_functor0 _let_1 B A))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.k2_zfmisc_1 _let_1 _let_1))) (let ((_let_3 (tptp.u1_struct_0 A))) (let ((_let_4 (tptp.k2_zfmisc_1 _let_3 _let_3))) (let ((_let_5 (tptp.u1_functor0 A B C))) (=> (and (tptp.l1_struct_0 A) (tptp.l1_struct_0 B) (tptp.l1_functor0 C A B)) (and (tptp.v1_funct_1 _let_5) (tptp.v1_funct_2 _let_5 _let_4 _let_2) (tptp.m2_relset_1 _let_5 _let_4 _let_2))))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (tptp.l1_altcat_1 A) (tptp.l1_altcat_1 B) (tptp.l2_functor0 C A B)) (tptp.m1_functor0 (tptp.u2_functor0 A B C) (tptp.k2_zfmisc_1 _let_2 _let_2) (tptp.k2_zfmisc_1 _let_1 _let_1) (tptp.u1_functor0 A B C) (tptp.u1_altcat_1 A) (tptp.u1_altcat_1 B)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.g1_functor0 A B C))) (let ((_let_2 (tptp.u1_struct_0 B))) (let ((_let_3 (tptp.k2_zfmisc_1 _let_2 _let_2))) (let ((_let_4 (tptp.u1_struct_0 A))) (let ((_let_5 (tptp.k2_zfmisc_1 _let_4 _let_4))) (=> (and (tptp.l1_struct_0 A) (tptp.l1_struct_0 B) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_5 _let_3) (tptp.m1_relset_1 C _let_5 _let_3)) (and (tptp.v3_functor0 _let_1 A B) (tptp.l1_functor0 _let_1 A B))))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.k2_zfmisc_1 _let_1 _let_1))) (let ((_let_3 (tptp.u1_struct_0 A))) (let ((_let_4 (tptp.k2_zfmisc_1 _let_3 _let_3))) (=> (and (tptp.l1_struct_0 A) (tptp.l1_struct_0 B) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_4 _let_2) (tptp.m1_relset_1 C _let_4 _let_2)) (forall ((D $$unsorted) (E $$unsorted) (F $$unsorted)) (=> (= (tptp.g1_functor0 A B C) (tptp.g1_functor0 D E F)) (and (= A D) (= B E) (= C F)))))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.g2_functor0 A B C D))) (let ((_let_2 (tptp.u1_struct_0 B))) (let ((_let_3 (tptp.k2_zfmisc_1 _let_2 _let_2))) (let ((_let_4 (tptp.u1_struct_0 A))) (let ((_let_5 (tptp.k2_zfmisc_1 _let_4 _let_4))) (=> (and (tptp.l1_altcat_1 A) (tptp.l1_altcat_1 B) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_5 _let_3) (tptp.m1_relset_1 C _let_5 _let_3) (tptp.m1_functor0 D _let_5 _let_3 C (tptp.u1_altcat_1 A) (tptp.u1_altcat_1 B))) (and (tptp.v9_functor0 _let_1 A B) (tptp.l2_functor0 _let_1 A B))))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.k2_zfmisc_1 _let_1 _let_1))) (let ((_let_3 (tptp.u1_struct_0 A))) (let ((_let_4 (tptp.k2_zfmisc_1 _let_3 _let_3))) (=> (and (tptp.l1_altcat_1 A) (tptp.l1_altcat_1 B) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_4 _let_2) (tptp.m1_relset_1 C _let_4 _let_2) (tptp.m1_functor0 D _let_4 _let_2 C (tptp.u1_altcat_1 A) (tptp.u1_altcat_1 B))) (forall ((E $$unsorted) (F $$unsorted) (G $$unsorted) (H $$unsorted)) (=> (= (tptp.g2_functor0 A B C D) (tptp.g2_functor0 E F G H)) (and (= A E) (= B F) (= C G) (= D H)))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (=> (tptp.m1_pboole C A) (forall ((D $$unsorted)) (=> (tptp.m1_pboole D B) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E B) (=> (not (= (tptp.k1_funct_1 D E) tptp.k1_xboole_0)) (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F (tptp.k1_funct_1 D E)) (forall ((G $$unsorted)) (=> (and (tptp.v1_funct_1 G) (tptp.v1_funct_2 G A B) (tptp.m2_relset_1 G A B)) (=> (= G (tptp.k10_pboole A E)) (tptp.m1_functor0 (tptp.a_6_0_functor0 A B C D E F) A B G C D))))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_altcat_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.l1_altcat_1 B)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 B)) (=> (not (= (tptp.k1_altcat_1 B C C) tptp.k1_xboole_0)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_altcat_1 B C C)) (forall ((E $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (tptp.v9_functor0 E A B) (tptp.l2_functor0 E A B)) (= (= E (tptp.k9_functor0 A B C D)) (and (= (tptp.u1_functor0 A B E) (tptp.k10_pboole (tptp.k2_zfmisc_1 _let_1 _let_1) (tptp.k4_tarski C C))) (= (tptp.u2_functor0 A B E) (tptp.a_4_0_functor0 A B C D)))))))))))))))) (=> (and (= tptp.f2_s1_functor0 tptp.a_0_0_functor0) (tptp.p1_s1_functor0 tptp.f3_s1_functor0 tptp.f4_s1_functor0)) (= (tptp.k1_binop_1 tptp.f2_s1_functor0 tptp.f3_s1_functor0 tptp.f4_s1_functor0) (tptp.f5_s1_functor0 tptp.f3_s1_functor0 tptp.f4_s1_functor0))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted) (G $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (not (tptp.v1_xboole_0 C)) (tptp.m1_pboole D B) (tptp.m1_pboole E C) (tptp.m1_subset_1 F C) (tptp.m1_subset_1 G (tptp.k1_funct_1 E F))) (= (tptp.r2_hidden A (tptp.a_6_0_functor0 B C D E F G)) (exists ((H $$unsorted)) (and (tptp.m1_subset_1 H B) (= A (tptp.k4_tarski H (tptp.k10_pboole (tptp.k1_funct_1 D H) G)))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.l1_altcat_1 B) (not (tptp.v3_struct_0 C)) (tptp.l1_altcat_1 C) (tptp.m1_subset_1 D (tptp.u1_struct_0 C)) (tptp.m1_subset_1 E (tptp.k1_altcat_1 C D D))) (= (tptp.r2_hidden A (tptp.a_4_0_functor0 B C D E)) (exists ((F $$unsorted) (G $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (and (tptp.m1_subset_1 F _let_1) (tptp.m1_subset_1 G _let_1) (= A (tptp.k4_tarski (tptp.k4_tarski F G) (tptp.k10_pboole (tptp.k1_altcat_1 B F G) E))))))))) (forall ((A $$unsorted)) (= (tptp.r2_hidden A tptp.a_0_0_functor0) (exists ((B $$unsorted) (C $$unsorted)) (and (tptp.m1_subset_1 B tptp.f1_s1_functor0) (tptp.m1_subset_1 C tptp.f1_s1_functor0) (= A (tptp.k4_tarski (tptp.k4_tarski B C) (tptp.f5_s1_functor0 B C))) (tptp.p1_s1_functor0 B C))))) (exists ((A $$unsorted)) (and (tptp.l2_altcat_1 A) (not (tptp.v3_struct_0 A)) (tptp.v2_altcat_1 A) (tptp.v12_altcat_1 A) (tptp.v1_altcat_2 A))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v1_altcat_2 A) (tptp.l2_altcat_1 A)) (exists ((B $$unsorted)) (and (tptp.m1_altcat_2 B A) (not (tptp.v3_struct_0 B)) (tptp.v1_altcat_2 B))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v1_altcat_2 A) (tptp.l2_altcat_1 A) (not (tptp.v3_struct_0 B)) (tptp.v1_altcat_2 B) (tptp.l2_altcat_1 B) (tptp.v8_functor0 C A B) (tptp.l2_functor0 C A B) (not (tptp.v3_struct_0 D)) (tptp.v1_altcat_2 D) (tptp.m1_altcat_2 D A)) (tptp.v8_functor0 (tptp.k14_functor0 A B D C) D B))) (forall ((A $$unsorted)) (tptp.v2_funct_2 (tptp.k6_partfun1 A) A A)) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A))) (forall ((C $$unsorted)) (=> (and (not (tptp.v1_xboole_0 C)) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 A))) (forall ((D $$unsorted)) (=> (and (not (tptp.v1_xboole_0 D)) (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 B))) (=> (= C D) (= (tptp.k6_funct_3 A C) (tptp.k7_funct_2 D B A (tptp.k6_funct_3 B D) (tptp.k6_funct_3 A B)))))))))))) (forall ((A $$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)) (=> (tptp.v3_funct_2 C A 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 $$unsorted)) (=> (not (tptp.v1_xboole_0 C)) (forall ((D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D A B) (tptp.m2_relset_1 D A B)) (forall ((E $$unsorted)) (=> (and (tptp.v1_funct_1 E) (tptp.v1_funct_2 E B C) (tptp.m2_relset_1 E B C)) (not (and (tptp.v3_funct_2 D A B) (tptp.v3_funct_2 E B C) (forall ((F $$unsorted)) (=> (and (tptp.v1_funct_1 F) (tptp.v1_funct_2 F A C) (tptp.m2_relset_1 F A C)) (not (and (= F (tptp.k1_partfun1 A B B C D E)) (tptp.v3_funct_2 F A C))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v1_altcat_2 A) (tptp.l2_altcat_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v1_altcat_2 B) (tptp.m1_altcat_2 B A)) (forall ((C $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.m1_altcat_2 C A)) (forall ((D $$unsorted)) (=> (and (not (tptp.v3_struct_0 D)) (tptp.m1_altcat_2 D B)) (=> (= C D) (= (tptp.k10_functor0 A C) (tptp.k13_functor0 D B A (tptp.k10_functor0 B D) (tptp.k10_functor0 A B)))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l2_altcat_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.l2_altcat_1 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (tptp.l2_functor0 C A B) (=> (tptp.v21_functor0 C A B) (and (tptp.v3_funct_2 (tptp.u1_functor0 A B C) (tptp.k2_zfmisc_1 _let_2 _let_2) (tptp.k2_zfmisc_1 _let_1 _let_1)) (tptp.v1_msualg_3 (tptp.u2_functor0 A B C)))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_altcat_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v1_altcat_2 B) (tptp.l1_altcat_1 B)) (forall ((C $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.v1_altcat_2 C) (tptp.l1_altcat_1 C)) (forall ((D $$unsorted)) (=> (and (tptp.v8_functor0 D A B) (tptp.l2_functor0 D A B)) (forall ((E $$unsorted)) (=> (tptp.l2_functor0 E B C) (=> (and (tptp.v4_functor0 D A B) (tptp.v4_functor0 E B C)) (tptp.v4_functor0 (tptp.k13_functor0 A B C D E) A C)))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_altcat_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v1_altcat_2 B) (tptp.l1_altcat_1 B)) (forall ((C $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.v1_altcat_2 C) (tptp.l1_altcat_1 C)) (forall ((D $$unsorted)) (=> (and (tptp.v8_functor0 D A B) (tptp.l2_functor0 D A B)) (forall ((E $$unsorted)) (=> (tptp.l2_functor0 E B C) (=> (and (tptp.v17_functor0 D A B) (tptp.v17_functor0 E B C)) (tptp.v17_functor0 (tptp.k13_functor0 A B C D E) A C)))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_altcat_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v1_altcat_2 B) (tptp.l1_altcat_1 B)) (forall ((C $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.v1_altcat_2 C) (tptp.l1_altcat_1 C)) (forall ((D $$unsorted)) (=> (and (tptp.v8_functor0 D A B) (tptp.l2_functor0 D A B)) (forall ((E $$unsorted)) (=> (tptp.l2_functor0 E B C) (=> (and (tptp.v5_functor0 D A B) (tptp.v5_functor0 E B C)) (tptp.v5_functor0 (tptp.k13_functor0 A B C D E) A C)))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_altcat_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v1_altcat_2 B) (tptp.l1_altcat_1 B)) (forall ((C $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.v1_altcat_2 C) (tptp.l1_altcat_1 C)) (forall ((D $$unsorted)) (=> (and (tptp.v8_functor0 D A B) (tptp.l2_functor0 D A B)) (forall ((E $$unsorted)) (=> (tptp.l2_functor0 E B C) (=> (and (tptp.v18_functor0 D A B) (tptp.v18_functor0 E B C)) (tptp.v18_functor0 (tptp.k13_functor0 A B C D E) A C)))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_altcat_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v1_altcat_2 B) (tptp.l1_altcat_1 B)) (forall ((C $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.v1_altcat_2 C) (tptp.l1_altcat_1 C)) (forall ((D $$unsorted)) (=> (and (tptp.v8_functor0 D A B) (tptp.l2_functor0 D A B)) (forall ((E $$unsorted)) (=> (tptp.l2_functor0 E B C) (=> (and (tptp.v19_functor0 D A B) (tptp.v19_functor0 E B C)) (tptp.v19_functor0 (tptp.k13_functor0 A B C D E) A C)))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_altcat_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v1_altcat_2 B) (tptp.l1_altcat_1 B)) (forall ((C $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.v1_altcat_2 C) (tptp.l1_altcat_1 C)) (forall ((D $$unsorted)) (=> (and (tptp.v8_functor0 D A B) (tptp.l2_functor0 D A B)) (forall ((E $$unsorted)) (=> (tptp.l2_functor0 E B C) (=> (and (tptp.v20_functor0 D A B) (tptp.v20_functor0 E B C)) (tptp.v20_functor0 (tptp.k13_functor0 A B C D E) A C)))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_altcat_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v1_altcat_2 B) (tptp.l1_altcat_1 B)) (forall ((C $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.v1_altcat_2 C) (tptp.l1_altcat_1 C)) (forall ((D $$unsorted)) (=> (and (tptp.v8_functor0 D A B) (tptp.l2_functor0 D A B)) (forall ((E $$unsorted)) (=> (tptp.l2_functor0 E B C) (=> (and (tptp.v21_functor0 D A B) (tptp.v21_functor0 E B C)) (tptp.v21_functor0 (tptp.k13_functor0 A B C D E) A C)))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v1_altcat_2 A) (tptp.l2_altcat_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v1_altcat_2 B) (tptp.l2_altcat_1 B)) (forall ((C $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.v1_altcat_2 C) (tptp.m1_altcat_2 C A)) (forall ((D $$unsorted)) (=> (and (not (tptp.v3_struct_0 D)) (tptp.m1_altcat_2 D A)) (forall ((E $$unsorted)) (=> (and (not (tptp.v3_struct_0 E)) (tptp.m1_altcat_2 E C)) (=> (= D E) (forall ((F $$unsorted)) (=> (tptp.l2_functor0 F A B) (= (tptp.k14_functor0 A B D F) (tptp.k14_functor0 C B E (tptp.k14_functor0 A B C F)))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v1_altcat_2 A) (tptp.l2_altcat_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v1_altcat_2 B) (tptp.l2_altcat_1 B)) (forall ((C $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.v1_altcat_2 C) (tptp.l2_altcat_1 C)) (forall ((D $$unsorted)) (=> (and (tptp.v8_functor0 D A B) (tptp.l2_functor0 D A B)) (forall ((E $$unsorted)) (=> (tptp.l2_functor0 E B C) (forall ((F $$unsorted)) (=> (and (not (tptp.v3_struct_0 F)) (tptp.v1_altcat_2 F) (tptp.m1_altcat_2 F A)) (= (tptp.k14_functor0 A C F (tptp.k13_functor0 A B C D E)) (tptp.k13_functor0 F B C (tptp.k14_functor0 A B F D) E)))))))))))))) true (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l2_altcat_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.m1_altcat_2 B A)) (= (tptp.v2_altcat_2 B A) (tptp.v18_functor0 (tptp.k10_functor0 A B) B A)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l2_altcat_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.l2_altcat_1 B)) (forall ((C $$unsorted)) (=> (and (tptp.v10_functor0 C A B) (tptp.l2_functor0 C A B)) (= (tptp.v18_functor0 C A B) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.u1_struct_0 A)) (tptp.v2_funct_2 (tptp.k5_functor0 A B C D E) (tptp.k1_altcat_1 A D E) (tptp.k1_altcat_1 B (tptp.k3_functor0 A B C D) (tptp.k3_functor0 A B C E)))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l2_altcat_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.l2_altcat_1 B)) (forall ((C $$unsorted)) (=> (and (tptp.v10_functor0 C A B) (tptp.l2_functor0 C A B)) (= (tptp.v17_functor0 C A B) (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.v2_funct_1 (tptp.k5_functor0 A B C D E))))))))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k12_functor0 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_altcat_1 A) (tptp.v12_altcat_1 A) (tptp.l2_altcat_1 A)) (= (tptp.k15_functor0 A A _let_1) _let_1)))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_altcat_1 A) (tptp.v12_altcat_1 A) (tptp.v1_altcat_2 A) (tptp.l2_altcat_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_altcat_1 B) (tptp.v12_altcat_1 B) (tptp.v1_altcat_2 B) (tptp.l2_altcat_1 B)) (forall ((C $$unsorted)) (=> (and (tptp.v8_functor0 C A B) (tptp.l2_functor0 C A B)) (=> (tptp.v21_functor0 C A B) (forall ((D $$unsorted)) (=> (and (tptp.v8_functor0 D B A) (tptp.l2_functor0 D B A)) (=> (= (tptp.g2_functor0 B A (tptp.u1_functor0 B A D) (tptp.u2_functor0 B A D)) (tptp.k15_functor0 A B C)) (= (tptp.k13_functor0 B A B D C) (tptp.k12_functor0 B)))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_altcat_1 A) (tptp.v12_altcat_1 A) (tptp.v1_altcat_2 A) (tptp.l2_altcat_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_altcat_1 B) (tptp.v12_altcat_1 B) (tptp.v1_altcat_2 B) (tptp.l2_altcat_1 B)) (forall ((C $$unsorted)) (=> (and (tptp.v8_functor0 C A B) (tptp.l2_functor0 C A B)) (=> (tptp.v21_functor0 C A B) (= (tptp.k13_functor0 A B A C (tptp.k15_functor0 A B C)) (tptp.k12_functor0 A))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_altcat_1 A) (tptp.v12_altcat_1 A) (tptp.v1_altcat_2 A) (tptp.l2_altcat_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_altcat_1 B) (tptp.v12_altcat_1 B) (tptp.v1_altcat_2 B) (tptp.l2_altcat_1 B)) (forall ((C $$unsorted)) (=> (and (tptp.v8_functor0 C A B) (tptp.l2_functor0 C A B)) (=> (tptp.v21_functor0 C A B) (= (tptp.k15_functor0 B A (tptp.k15_functor0 A B C)) (tptp.g2_functor0 A B (tptp.u1_functor0 A B C) (tptp.u2_functor0 A B C)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_altcat_1 A) (tptp.v12_altcat_1 A) (tptp.v1_altcat_2 A) (tptp.l2_altcat_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_altcat_1 B) (tptp.v12_altcat_1 B) (tptp.v1_altcat_2 B) (tptp.l2_altcat_1 B)) (forall ((C $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.v2_altcat_1 C) (tptp.v12_altcat_1 C) (tptp.v1_altcat_2 C) (tptp.l2_altcat_1 C)) (forall ((D $$unsorted)) (=> (and (tptp.v8_functor0 D A B) (tptp.l2_functor0 D A B)) (forall ((E $$unsorted)) (=> (and (tptp.v8_functor0 E B C) (tptp.l2_functor0 E B C)) (forall ((F $$unsorted)) (=> (and (tptp.v8_functor0 F B A) (tptp.l2_functor0 F B A)) (forall ((G $$unsorted)) (=> (and (tptp.v8_functor0 G C B) (tptp.l2_functor0 G C B)) (=> (and (tptp.v21_functor0 E B C) (tptp.v21_functor0 D A B) (tptp.v21_functor0 G C B) (tptp.v21_functor0 F B A) (= (tptp.g2_functor0 B A (tptp.u1_functor0 B A F) (tptp.u2_functor0 B A F)) (tptp.k15_functor0 A B D)) (= (tptp.g2_functor0 C B (tptp.u1_functor0 C B G) (tptp.u2_functor0 C B G)) (tptp.k15_functor0 B C E))) (= (tptp.k15_functor0 A C (tptp.k13_functor0 A B C D E)) (tptp.k13_functor0 C B A G F))))))))))))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k15_pralg_2 A B C))) (=> (and (not (tptp.v3_struct_0 B)) (not (tptp.v2_msualg_1 B)) (tptp.l1_msualg_1 B) (tptp.m2_pralg_2 C A B)) (and (tptp.v4_msualg_1 _let_1 B) (tptp.v5_msualg_1 _let_1 B))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k6_relat_1 A))) (=> (tptp.v1_setfam_1 A) (and (tptp.v1_relat_1 _let_1) (tptp.v2_relat_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) (tptp.v1_funct_1 _let_1))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k2_pralg_3 A (tptp.k15_pralg_2 B A D) C))) (=> (and (not (tptp.v3_struct_0 A)) (not (tptp.v2_msualg_1 A)) (tptp.l1_msualg_1 A) (not (tptp.v1_xboole_0 B)) (tptp.m1_subset_1 C (tptp.u1_msualg_1 A)) (tptp.m2_pralg_2 D B A)) (and (tptp.v1_relat_1 _let_1) (tptp.v1_funct_1 _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)) (forall ((C $$unsorted)) (=> (tptp.r2_hidden A (tptp.k4_card_3 B)) (tptp.r2_hidden (tptp.k7_relat_1 A C) (tptp.k4_card_3 (tptp.k7_relat_1 B C))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (not (tptp.v2_msualg_1 B)) (tptp.l1_msualg_1 B)) (forall ((C $$unsorted)) (=> (tptp.m2_pralg_2 C A B) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 B)) (forall ((E $$unsorted)) (=> (and (not (tptp.v1_xboole_0 E)) (tptp.m1_subset_1 E (tptp.k1_zfmisc_1 A))) (forall ((F $$unsorted)) (=> (tptp.m2_pralg_2 F E B) (=> (= (tptp.k7_relat_1 C E) F) (= (tptp.k10_pralg_2 E B D F) (tptp.k7_relat_1 (tptp.k10_pralg_2 A B D C) E))))))))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$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)) (forall ((D $$unsorted)) (=> (tptp.m2_subset_1 D (tptp.k1_zfmisc_1 B) (tptp.k8_eqrel_1 B C)) (forall ((E $$unsorted)) (=> (tptp.m2_subset_1 E (tptp.k1_zfmisc_1 B) (tptp.k8_eqrel_1 B C)) (=> (and (tptp.r2_hidden A D) (tptp.r2_hidden A E)) (= D E)))))))))) true (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_funcop_1 B) (tptp.m1_pboole B A)) (forall ((C $$unsorted)) (=> (and (not (tptp.v1_xboole_0 C)) (tptp.v1_fraenkel C) (tptp.v1_pralg_2 C)) (=> (= C (tptp.k2_relat_1 B)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D A) (forall ((E $$unsorted)) (=> (and (tptp.r2_hidden D (tptp.k1_relat_1 B)) (tptp.r2_hidden E (tptp.k1_pralg_2 C))) (= (tptp.k1_funct_1 (tptp.k1_funct_1 B D) E) (tptp.k1_funct_1 (tptp.k1_funct_1 (tptp.k10_funct_6 B) E) D))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (not (tptp.v2_msualg_1 A)) (tptp.l1_msualg_1 A)) (forall ((B $$unsorted)) (=> (tptp.l3_msualg_1 B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_msualg_1 A)) (= (tptp.k2_pralg_3 A B C) (tptp.k1_funct_1 (tptp.k5_msualg_1 A C B) tptp.k1_xboole_0)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (not (tptp.v2_msualg_1 A)) (tptp.l1_msualg_1 A)) (forall ((B $$unsorted)) (=> (tptp.l3_msualg_1 B A) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k4_msualg_1 A C B))) (=> (tptp.m1_subset_1 C (tptp.u1_msualg_1 A)) (=> (= (tptp.k1_msualg_1 A C) tptp.k1_xboole_0) (or (= _let_1 tptp.k1_xboole_0) (tptp.r2_hidden (tptp.k2_pralg_3 A B C) _let_1)))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (not (tptp.v2_msualg_1 B)) (tptp.l1_msualg_1 B)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C A) (forall ((D $$unsorted)) (=> (tptp.m2_pralg_2 D A B) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.u1_msualg_1 B)) (=> (= (tptp.k1_msualg_1 B E) tptp.k1_xboole_0) (= (tptp.k1_funct_1 (tptp.k2_pralg_3 B (tptp.k15_pralg_2 A B D) E) C) (tptp.k2_pralg_3 B (tptp.k6_pralg_2 A B D C) E))))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (not (tptp.v2_msualg_1 B)) (tptp.l1_msualg_1 B)) (forall ((C $$unsorted)) (=> (tptp.m2_pralg_2 C A B) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_msualg_1 B)) (forall ((E $$unsorted)) (=> (and (tptp.v1_relat_1 E) (tptp.v1_funct_1 E)) (=> (and (= (tptp.k1_msualg_1 B D) tptp.k1_xboole_0) (= (tptp.k1_relat_1 E) A) (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F A) (= (tptp.k1_funct_1 E F) (tptp.k2_pralg_3 B (tptp.k6_pralg_2 A B C F) D))))) (= E (tptp.k2_pralg_3 B (tptp.k15_pralg_2 A B C) D))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (not (tptp.v2_msualg_1 A)) (tptp.l1_msualg_1 A)) (forall ((B $$unsorted)) (=> (tptp.l3_msualg_1 B A) (forall ((C $$unsorted)) (=> (tptp.l3_msualg_1 C A) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_msualg_1 A)) (forall ((E $$unsorted)) (let ((_let_1 (tptp.k3_msualg_1 A D B))) (=> (tptp.m1_subset_1 E _let_1) (=> (and (= E tptp.k1_xboole_0) (= (tptp.k1_msualg_1 A D) tptp.k1_xboole_0)) (or (= _let_1 tptp.k1_xboole_0) (= (tptp.k3_msualg_1 A D C) tptp.k1_xboole_0) (forall ((F $$unsorted)) (=> (tptp.m3_pboole F (tptp.u1_struct_0 A) (tptp.u4_msualg_1 A B) (tptp.u4_msualg_1 A C)) (= (tptp.k5_msualg_3 A B C D F E) tptp.k1_xboole_0)))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (not (tptp.v2_msualg_1 A)) (tptp.l1_msualg_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_msualg_1 A)) (forall ((C $$unsorted)) (=> (and (tptp.v5_msualg_1 C A) (tptp.l3_msualg_1 C A)) (forall ((D $$unsorted)) (=> (and (tptp.v5_msualg_1 D A) (tptp.l3_msualg_1 D A)) (forall ((E $$unsorted)) (=> (tptp.m3_pboole E (tptp.u1_struct_0 A) (tptp.u4_msualg_1 A C) (tptp.u4_msualg_1 A D)) (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F (tptp.k3_msualg_1 A B C)) (tptp.r2_hidden F (tptp.k4_card_3 (tptp.k2_funct_6 (tptp.k5_relat_1 (tptp.k1_msualg_1 A B) E)))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (not (tptp.v2_msualg_1 A)) (tptp.l1_msualg_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_msualg_1 A)) (forall ((C $$unsorted)) (=> (and (tptp.v5_msualg_1 C A) (tptp.l3_msualg_1 C A)) (forall ((D $$unsorted)) (=> (and (tptp.v5_msualg_1 D A) (tptp.l3_msualg_1 D A)) (forall ((E $$unsorted)) (=> (tptp.m3_pboole E (tptp.u1_struct_0 A) (tptp.u4_msualg_1 A C) (tptp.u4_msualg_1 A D)) (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F (tptp.k3_msualg_1 A B C)) (forall ((G $$unsorted)) (let ((_let_1 (tptp.k1_msualg_1 A B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (tptp.r2_hidden G (tptp.k4_finseq_1 _let_1)) (= (tptp.k1_funct_1 (tptp.k6_msualg_3 A C D B E F) G) (tptp.k1_funct_1 (tptp.k1_msualg_3 _let_2 (tptp.u4_msualg_1 A C) (tptp.u4_msualg_1 A D) E (tptp.k4_finseq_4 tptp.k5_numbers _let_2 _let_1 G)) (tptp.k1_funct_1 F G))))))))))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (not (tptp.v2_msualg_1 B)) (tptp.l1_msualg_1 B)) (forall ((C $$unsorted)) (=> (tptp.m2_pralg_2 C A B) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_msualg_1 B)) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.k3_msualg_1 B D (tptp.k15_pralg_2 A B C))) (forall ((F $$unsorted)) (let ((_let_1 (tptp.k1_msualg_1 B D))) (=> (tptp.r2_hidden F (tptp.k4_finseq_1 _let_1)) (tptp.r2_hidden (tptp.k1_funct_1 E F) (tptp.k4_card_3 (tptp.k10_pralg_2 A B (tptp.k4_finseq_4 tptp.k5_numbers (tptp.u1_struct_0 B) _let_1 F) C)))))))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (not (tptp.v2_msualg_1 B)) (tptp.l1_msualg_1 B)) (forall ((C $$unsorted)) (=> (tptp.m2_pralg_2 C A B) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_msualg_1 B)) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E A) (forall ((F $$unsorted)) (=> (tptp.r2_hidden F (tptp.k4_finseq_1 (tptp.k1_msualg_1 B D))) (forall ((G $$unsorted)) (=> (tptp.m1_subset_1 G (tptp.u1_struct_0 B)) (=> (= G (tptp.k1_funct_1 (tptp.k1_msualg_1 B D) F)) (forall ((H $$unsorted)) (=> (tptp.m1_subset_1 H (tptp.k3_msualg_1 B D (tptp.k15_pralg_2 A B C))) (forall ((I $$unsorted)) (=> (and (tptp.v1_relat_1 I) (tptp.v1_funct_1 I)) (=> (= I (tptp.k1_funct_1 H F)) (tptp.r2_hidden (tptp.k1_funct_1 I E) (tptp.k1_funct_1 (tptp.u4_msualg_1 B (tptp.k6_pralg_2 A B C E)) G)))))))))))))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (not (tptp.v2_msualg_1 B)) (tptp.l1_msualg_1 B)) (forall ((C $$unsorted)) (=> (tptp.m2_pralg_2 C A B) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_msualg_1 B)) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.k3_msualg_1 B D (tptp.k15_pralg_2 A B C))) (=> (not (= (tptp.k1_msualg_1 B D) tptp.k1_xboole_0)) (tptp.r2_hidden (tptp.k10_funct_6 E) (tptp.k4_card_3 (tptp.k2_funct_6 (tptp.k13_pralg_2 A B C D))))))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (not (tptp.v2_msualg_1 B)) (tptp.l1_msualg_1 B)) (forall ((C $$unsorted)) (=> (tptp.m2_pralg_2 C A B) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_msualg_1 B)) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.k3_msualg_1 B D (tptp.k15_pralg_2 A B C))) (=> (not (= (tptp.k1_msualg_1 B D) tptp.k1_xboole_0)) (tptp.r2_hidden E (tptp.k1_relat_1 (tptp.k2_pralg_2 (tptp.k3_pralg_2 (tptp.k13_pralg_2 A B C D)))))))))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (not (tptp.v2_msualg_1 B)) (tptp.l1_msualg_1 B)) (forall ((C $$unsorted)) (=> (tptp.m2_pralg_2 C A B) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_msualg_1 B)) (forall ((E $$unsorted)) (let ((_let_1 (tptp.k15_pralg_2 A B C))) (let ((_let_2 (tptp.k3_msualg_1 B D _let_1))) (=> (tptp.m1_subset_1 E _let_2) (tptp.r2_hidden (tptp.k8_funct_2 _let_2 (tptp.k4_msualg_1 B D _let_1) (tptp.k5_msualg_1 B D _let_1) E) (tptp.k4_card_3 (tptp.k10_pralg_2 A B (tptp.k2_msualg_1 B D) C))))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (not (tptp.v2_msualg_1 B)) (tptp.l1_msualg_1 B)) (forall ((C $$unsorted)) (=> (tptp.m2_pralg_2 C A B) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D A) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.u1_msualg_1 B)) (=> (not (= (tptp.k1_msualg_1 B E) tptp.k1_xboole_0)) (forall ((F $$unsorted)) (=> (and (tptp.v5_msualg_1 F B) (tptp.l3_msualg_1 F B)) (forall ((G $$unsorted)) (=> (tptp.m1_subset_1 G (tptp.k3_msualg_1 B E (tptp.k15_pralg_2 A B C))) (tptp.m1_subset_1 (tptp.k1_funct_1 (tptp.k10_funct_6 G) D) (tptp.k3_msualg_1 B E (tptp.k6_pralg_2 A B C D)))))))))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (not (tptp.v2_msualg_1 B)) (tptp.l1_msualg_1 B)) (forall ((C $$unsorted)) (=> (tptp.m2_pralg_2 C A B) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D A) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.u1_msualg_1 B)) (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F (tptp.k3_msualg_1 B E (tptp.k15_pralg_2 A B C))) (forall ((G $$unsorted)) (=> (tptp.r2_hidden G (tptp.k4_finseq_1 (tptp.k1_msualg_1 B E))) (forall ((H $$unsorted)) (=> (and (tptp.v1_relat_1 H) (tptp.v1_funct_1 H)) (=> (= H (tptp.k1_funct_1 F G)) (= (tptp.k1_funct_1 (tptp.k1_funct_1 (tptp.k10_funct_6 F) D) G) (tptp.k1_funct_1 H D))))))))))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (not (tptp.v2_msualg_1 B)) (tptp.l1_msualg_1 B)) (forall ((C $$unsorted)) (=> (tptp.m2_pralg_2 C A B) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_msualg_1 B)) (=> (not (= (tptp.k1_msualg_1 B D) tptp.k1_xboole_0)) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.k3_msualg_1 B D (tptp.k15_pralg_2 A B C))) (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F A) (forall ((G $$unsorted)) (let ((_let_1 (tptp.k15_pralg_2 A B C))) (=> (and (tptp.v1_relat_1 G) (tptp.v1_funct_1 G)) (=> (= G (tptp.k8_funct_2 (tptp.k3_msualg_1 B D _let_1) (tptp.k4_msualg_1 B D _let_1) (tptp.k5_msualg_1 B D _let_1) E)) (= (tptp.k1_funct_1 G F) (tptp.k1_funct_1 (tptp.k5_msualg_1 B D (tptp.k6_pralg_2 A B C F)) (tptp.k1_funct_1 (tptp.k10_funct_6 E) F)))))))))))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (= (= C (tptp.k3_pralg_3 A B)) (and (= (tptp.k1_relat_1 C) (tptp.k4_card_3 A)) (forall ((D $$unsorted)) (=> (and (tptp.v1_relat_1 D) (tptp.v1_funct_1 D)) (=> (tptp.r2_hidden D (tptp.k1_relat_1 C)) (= (tptp.k1_funct_1 C D) (tptp.k1_funct_1 D B))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (not (tptp.v2_msualg_1 B)) (tptp.l1_msualg_1 B)) (forall ((C $$unsorted)) (=> (tptp.m2_pralg_2 C A B) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D A) (forall ((E $$unsorted)) (=> (tptp.m3_pboole E (tptp.u1_struct_0 B) (tptp.u4_msualg_1 B (tptp.k15_pralg_2 A B C)) (tptp.u4_msualg_1 B (tptp.k6_pralg_2 A B C D))) (= (= E (tptp.k4_pralg_3 A B C D)) (forall ((F $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (=> (tptp.m1_subset_1 F _let_1) (= (tptp.k1_msualg_3 _let_1 (tptp.u4_msualg_1 B (tptp.k15_pralg_2 A B C)) (tptp.u4_msualg_1 B (tptp.k6_pralg_2 A B C D)) E F) (tptp.k3_pralg_3 (tptp.k10_pralg_2 A B F C) D)))))))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (not (tptp.v2_msualg_1 B)) (tptp.l1_msualg_1 B)) (forall ((C $$unsorted)) (=> (tptp.m2_pralg_2 C A B) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_msualg_1 B)) (forall ((E $$unsorted)) (let ((_let_1 (tptp.k3_msualg_1 B D (tptp.k15_pralg_2 A B C)))) (=> (tptp.m1_subset_1 E _let_1) (not (and (not (= _let_1 tptp.k1_xboole_0)) (not (= (tptp.k1_msualg_1 B D) tptp.k1_xboole_0)) (not (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F A) (= (tptp.k6_msualg_3 B (tptp.k15_pralg_2 A B C) (tptp.k6_pralg_2 A B C F) D (tptp.k4_pralg_3 A B C F) E) (tptp.k1_funct_1 (tptp.k10_funct_6 E) F)))))))))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (not (tptp.v2_msualg_1 B)) (tptp.l1_msualg_1 B)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C A) (forall ((D $$unsorted)) (=> (tptp.m2_pralg_2 D A B) (tptp.r1_msualg_3 B (tptp.k15_pralg_2 A B D) (tptp.k6_pralg_2 A B D C) (tptp.k4_pralg_3 A B D C)))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (not (tptp.v2_msualg_1 B)) (tptp.l1_msualg_1 B)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C A) (forall ((D $$unsorted)) (=> (tptp.m2_pralg_2 D A B) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.u1_struct_0 B)) (forall ((F $$unsorted)) (=> (and (tptp.v5_msualg_1 F B) (tptp.l3_msualg_1 F B)) (forall ((G $$unsorted)) (=> (and (tptp.v1_funcop_1 G) (tptp.m1_pboole G A)) (=> (forall ((H $$unsorted)) (=> (tptp.m1_subset_1 H A) (exists ((I $$unsorted)) (let ((_let_1 (tptp.k6_pralg_2 A B D H))) (and (tptp.m3_pboole I (tptp.u1_struct_0 B) (tptp.u4_msualg_1 B F) (tptp.u4_msualg_1 B _let_1)) (= I (tptp.k1_funct_1 G H)) (tptp.r1_msualg_3 B F _let_1 I)))))) (forall ((H $$unsorted)) (=> (tptp.m3_pboole H (tptp.u1_struct_0 B) (tptp.u4_msualg_1 B F) (tptp.u4_msualg_1 B (tptp.k6_pralg_2 A B D C))) (=> (= H (tptp.k1_funct_1 G C)) (forall ((I $$unsorted)) (=> (tptp.r2_hidden I (tptp.k1_funct_1 (tptp.u4_msualg_1 B F) E)) (forall ((J $$unsorted)) (=> (and (tptp.v1_relat_1 J) (tptp.v1_funct_1 J)) (=> (= J (tptp.k1_funct_1 (tptp.k10_funct_6 (tptp.k1_funct_1 (tptp.k10_funct_6 G) E)) I)) (= (tptp.k1_funct_1 J C) (tptp.k1_funct_1 (tptp.k1_msualg_3 (tptp.u1_struct_0 B) (tptp.u4_msualg_1 B F) (tptp.u4_msualg_1 B (tptp.k6_pralg_2 A B D C)) H E) I))))))))))))))))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (not (tptp.v2_msualg_1 B)) (tptp.l1_msualg_1 B)) (forall ((C $$unsorted)) (=> (tptp.m2_pralg_2 C A B) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 B)) (forall ((E $$unsorted)) (=> (and (tptp.v5_msualg_1 E B) (tptp.l3_msualg_1 E B)) (forall ((F $$unsorted)) (=> (and (tptp.v1_funcop_1 F) (tptp.m1_pboole F A)) (=> (forall ((G $$unsorted)) (=> (tptp.m1_subset_1 G A) (exists ((H $$unsorted)) (let ((_let_1 (tptp.k6_pralg_2 A B C G))) (and (tptp.m3_pboole H (tptp.u1_struct_0 B) (tptp.u4_msualg_1 B E) (tptp.u4_msualg_1 B _let_1)) (= H (tptp.k1_funct_1 F G)) (tptp.r1_msualg_3 B E _let_1 H)))))) (forall ((G $$unsorted)) (=> (tptp.r2_hidden G (tptp.k1_funct_1 (tptp.u4_msualg_1 B E) D)) (tptp.r2_hidden (tptp.k1_funct_1 (tptp.k10_funct_6 (tptp.k1_funct_1 (tptp.k10_funct_6 F) D)) G) (tptp.k4_card_3 (tptp.k10_pralg_2 A B D C)))))))))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (not (tptp.v2_msualg_1 B)) (tptp.l1_msualg_1 B)) (forall ((C $$unsorted)) (=> (tptp.m2_pralg_2 C A B) (forall ((D $$unsorted)) (=> (and (tptp.v5_msualg_1 D B) (tptp.l3_msualg_1 D B)) (forall ((E $$unsorted)) (=> (and (tptp.v1_funcop_1 E) (tptp.m1_pboole E A)) (not (and (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F A) (exists ((G $$unsorted)) (let ((_let_1 (tptp.k6_pralg_2 A B C F))) (and (tptp.m3_pboole G (tptp.u1_struct_0 B) (tptp.u4_msualg_1 B D) (tptp.u4_msualg_1 B _let_1)) (= G (tptp.k1_funct_1 E F)) (tptp.r1_msualg_3 B D _let_1 G)))))) (forall ((F $$unsorted)) (let ((_let_1 (tptp.k15_pralg_2 A B C))) (=> (tptp.m3_pboole F (tptp.u1_struct_0 B) (tptp.u4_msualg_1 B D) (tptp.u4_msualg_1 B _let_1)) (not (and (tptp.r1_msualg_3 B D _let_1 F) (forall ((G $$unsorted)) (=> (tptp.m1_subset_1 G A) (= (tptp.k3_msualg_3 (tptp.u1_struct_0 B) (tptp.u4_msualg_1 B D) (tptp.u4_msualg_1 B (tptp.k15_pralg_2 A B C)) (tptp.u4_msualg_1 B (tptp.k6_pralg_2 A B C G)) F (tptp.k4_pralg_3 A B C G)) (tptp.k1_funct_1 E G))))))))))))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (not (tptp.v2_msualg_1 C)) (tptp.l1_msualg_1 C)) (forall ((D $$unsorted)) (=> (tptp.m1_pboole D A) (= (tptp.m1_pralg_3 D A B C) (forall ((E $$unsorted)) (=> (tptp.r2_hidden E A) (tptp.m2_pralg_2 (tptp.k1_funct_1 D E) (tptp.k1_funct_1 B E) C)))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (not (tptp.v2_msualg_1 B)) (tptp.l1_msualg_1 B)) (forall ((C $$unsorted)) (=> (tptp.m2_pralg_2 C A B) (forall ((D $$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)) (forall ((E $$unsorted)) (let ((_let_1 (tptp.k8_eqrel_1 A D))) (=> (tptp.m1_pralg_3 E _let_1 (tptp.k1_pralg_3 _let_1) B) (= (= E (tptp.k5_pralg_3 A B C D)) (forall ((F $$unsorted)) (=> (tptp.r2_hidden F (tptp.k8_eqrel_1 A D)) (= (tptp.k1_funct_1 E F) (tptp.k7_relat_1 C F)))))))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (not (tptp.v2_msualg_1 B)) (tptp.l1_msualg_1 B)) (forall ((C $$unsorted)) (=> (and (tptp.v2_relat_1 C) (tptp.m1_pboole C A)) (forall ((D $$unsorted)) (=> (tptp.m1_pralg_3 D A C B) (forall ((E $$unsorted)) (=> (tptp.m2_pralg_2 E A B) (= (= E (tptp.k6_pralg_3 A B C D)) (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F A) (not (and (tptp.r2_hidden F A) (forall ((G $$unsorted)) (=> (not (tptp.v1_xboole_0 G)) (forall ((H $$unsorted)) (=> (tptp.m2_pralg_2 H G B) (not (and (= G (tptp.k1_funct_1 C F)) (= H (tptp.k1_funct_1 D F)) (= (tptp.k6_pralg_2 A B E F) (tptp.k15_pralg_2 G B H))))))))))))))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (not (tptp.v2_msualg_1 B)) (tptp.l1_msualg_1 B)) (forall ((C $$unsorted)) (=> (tptp.m2_pralg_2 C A B) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k8_eqrel_1 A D))) (=> (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.r6_msualg_3 B (tptp.k15_pralg_2 A B C) (tptp.k15_pralg_2 _let_1 B (tptp.k6_pralg_3 _let_1 B (tptp.k1_pralg_3 _let_1) (tptp.k5_pralg_3 A B C D))))))))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.m1_pboole B A) (not (tptp.v3_struct_0 C)) (not (tptp.v2_msualg_1 C)) (tptp.l1_msualg_1 C)) (forall ((D $$unsorted)) (=> (tptp.m1_pralg_3 D A B C) (tptp.m1_pboole D A))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.m1_pboole B A) (not (tptp.v3_struct_0 C)) (not (tptp.v2_msualg_1 C)) (tptp.l1_msualg_1 C)) (exists ((D $$unsorted)) (tptp.m1_pralg_3 D A B C)))) (forall ((A $$unsorted)) (tptp.m1_pboole (tptp.k1_pralg_3 A) A)) (forall ((A $$unsorted)) (= (tptp.k1_pralg_3 A) (tptp.k6_relat_1 A))) true (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k3_pralg_3 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) (C $$unsorted) (D $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (not (tptp.v3_struct_0 B)) (not (tptp.v2_msualg_1 B)) (tptp.l1_msualg_1 B) (tptp.m2_pralg_2 C A B) (tptp.m1_subset_1 D A)) (tptp.m3_pboole (tptp.k4_pralg_3 A B C D) (tptp.u1_struct_0 B) (tptp.u4_msualg_1 B (tptp.k15_pralg_2 A B C)) (tptp.u4_msualg_1 B (tptp.k6_pralg_2 A B C D))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k8_eqrel_1 A D))) (=> (and (not (tptp.v1_xboole_0 A)) (not (tptp.v3_struct_0 B)) (not (tptp.v2_msualg_1 B)) (tptp.l1_msualg_1 B) (tptp.m2_pralg_2 C A B) (tptp.v3_relat_2 D) (tptp.v8_relat_2 D) (tptp.v1_partfun1 D A A) (tptp.m1_relset_1 D A A)) (tptp.m1_pralg_3 (tptp.k5_pralg_3 A B C D) _let_1 (tptp.k1_pralg_3 _let_1) B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (not (tptp.v3_struct_0 B)) (not (tptp.v2_msualg_1 B)) (tptp.l1_msualg_1 B) (tptp.v2_relat_1 C) (tptp.m1_pboole C A) (tptp.m1_pralg_3 D A C B)) (tptp.m2_pralg_2 (tptp.k6_pralg_3 A B C D) A B))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (not (tptp.v2_msualg_1 A)) (tptp.l1_msualg_1 A)) (forall ((B $$unsorted)) (=> (tptp.l3_msualg_1 B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (=> (not (= (tptp.k1_funct_1 (tptp.u4_msualg_1 A B) C) tptp.k1_xboole_0)) (= (tptp.k1_msualg_2 A B C) (tptp.a_3_0_pralg_3 A B C))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (not (tptp.v2_msualg_1 B)) (tptp.l1_msualg_1 B)) (forall ((C $$unsorted)) (=> (tptp.m2_pralg_2 C A B) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_msualg_1 B)) (=> (= (tptp.k1_msualg_1 B D) tptp.k1_xboole_0) (tptp.r2_hidden (tptp.k1_funct_1 (tptp.k10_funct_6 (tptp.k12_pralg_2 A B C)) D) (tptp.k1_funct_2 A (tptp.k1_funct_2 (tptp.k1_tarski tptp.k1_xboole_0) (tptp.k3_tarski (tptp.a_4_0_pralg_3 A B C D)))))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (not (tptp.v2_msualg_1 B)) (tptp.l1_msualg_1 B)) (forall ((C $$unsorted)) (=> (tptp.m2_pralg_2 C A B) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_msualg_1 B)) (=> (= (tptp.k1_msualg_1 B D) tptp.k1_xboole_0) (tptp.r2_hidden (tptp.k2_pralg_3 B (tptp.k15_pralg_2 A B C) D) (tptp.k1_funct_2 A (tptp.k3_tarski (tptp.a_4_0_pralg_3 A B C D))))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (not (tptp.v2_msualg_1 B)) (tptp.l1_msualg_1 B)) (forall ((C $$unsorted)) (=> (tptp.m2_pralg_2 C A B) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_msualg_1 B)) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.k3_msualg_1 B D (tptp.k15_pralg_2 A B C))) (tptp.r2_hidden E (tptp.k1_funct_2 (tptp.k4_finseq_1 (tptp.k1_msualg_1 B D)) (tptp.k1_funct_2 A (tptp.k3_tarski (tptp.a_3_1_pralg_3 A B C))))))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (not (tptp.v2_msualg_1 B)) (tptp.l1_msualg_1 B)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C A) (forall ((D $$unsorted)) (=> (tptp.m2_pralg_2 D A B) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.u1_struct_0 B)) (forall ((F $$unsorted)) (=> (and (tptp.v5_msualg_1 F B) (tptp.l3_msualg_1 F B)) (forall ((G $$unsorted)) (=> (and (tptp.v1_funcop_1 G) (tptp.m1_pboole G A)) (=> (forall ((H $$unsorted)) (=> (tptp.m1_subset_1 H A) (exists ((I $$unsorted)) (let ((_let_1 (tptp.k6_pralg_2 A B D H))) (and (tptp.m3_pboole I (tptp.u1_struct_0 B) (tptp.u4_msualg_1 B F) (tptp.u4_msualg_1 B _let_1)) (= I (tptp.k1_funct_1 G H)) (tptp.r1_msualg_3 B F _let_1 I)))))) (and (tptp.r2_hidden G (tptp.k1_funct_2 A (tptp.k1_funct_2 (tptp.u1_struct_0 B) (tptp.a_3_2_pralg_3 A B G)))) (= (tptp.k1_funct_1 (tptp.k1_funct_1 (tptp.k10_funct_6 G) E) C) (tptp.k1_funct_1 (tptp.k1_funct_1 G C) E)))))))))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (not (tptp.v2_msualg_1 B)) (tptp.l1_msualg_1 B)) (forall ((C $$unsorted)) (=> (tptp.m2_pralg_2 C A B) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 B)) (forall ((E $$unsorted)) (=> (and (tptp.v5_msualg_1 E B) (tptp.l3_msualg_1 E B)) (forall ((F $$unsorted)) (=> (and (tptp.v1_funcop_1 F) (tptp.m1_pboole F A)) (=> (forall ((G $$unsorted)) (=> (tptp.m1_subset_1 G A) (exists ((H $$unsorted)) (let ((_let_1 (tptp.k6_pralg_2 A B C G))) (and (tptp.m3_pboole H (tptp.u1_struct_0 B) (tptp.u4_msualg_1 B E) (tptp.u4_msualg_1 B _let_1)) (= H (tptp.k1_funct_1 F G)) (tptp.r1_msualg_3 B E _let_1 H)))))) (tptp.r2_hidden (tptp.k1_funct_1 (tptp.k10_funct_6 F) D) (tptp.k1_funct_2 A (tptp.k1_funct_2 (tptp.k1_funct_1 (tptp.u4_msualg_1 B E) D) (tptp.k3_tarski (tptp.a_3_1_pralg_3 A B C)))))))))))))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (not (tptp.v2_msualg_1 B)) (tptp.l1_msualg_1 B) (tptp.l3_msualg_1 C B) (tptp.m1_subset_1 D (tptp.u1_struct_0 B))) (= (tptp.r2_hidden A (tptp.a_3_0_pralg_3 B C D)) (exists ((E $$unsorted)) (and (tptp.m1_subset_1 E (tptp.u1_msualg_1 B)) (= A (tptp.k2_pralg_3 B C E)) (= (tptp.k2_msualg_1 B E) D) (= (tptp.k1_msualg_1 B E) tptp.k1_xboole_0)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (not (tptp.v3_struct_0 C)) (not (tptp.v2_msualg_1 C)) (tptp.l1_msualg_1 C) (tptp.m2_pralg_2 D B C) (tptp.m1_subset_1 E (tptp.u1_msualg_1 C))) (= (tptp.r2_hidden A (tptp.a_4_0_pralg_3 B C D E)) (exists ((F $$unsorted)) (and (tptp.m1_subset_1 F B) (= A (tptp.k4_msualg_1 C E (tptp.k6_pralg_2 B C D F)))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (not (tptp.v3_struct_0 C)) (not (tptp.v2_msualg_1 C)) (tptp.l1_msualg_1 C) (tptp.m2_pralg_2 D B C)) (= (tptp.r2_hidden A (tptp.a_3_1_pralg_3 B C D)) (exists ((E $$unsorted) (F $$unsorted)) (and (tptp.m1_subset_1 E B) (tptp.m1_subset_1 F (tptp.u1_struct_0 C)) (= A (tptp.k1_funct_1 (tptp.u4_msualg_1 C (tptp.k6_pralg_2 B C D E)) F))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (not (tptp.v3_struct_0 C)) (not (tptp.v2_msualg_1 C)) (tptp.l1_msualg_1 C) (tptp.v1_funcop_1 D) (tptp.m1_pboole D B)) (= (tptp.r2_hidden A (tptp.a_3_2_pralg_3 B C D)) (exists ((E $$unsorted) (F $$unsorted)) (and (tptp.m1_subset_1 E (tptp.u1_struct_0 C)) (tptp.m1_subset_1 F B) (= A (tptp.k1_funct_1 (tptp.k1_funct_1 D F) E))))))) (forall ((A $$unsorted)) (let ((_let_1 (not (tptp.v3_struct_0 A)))) (=> (tptp.l1_orders_2 A) (=> (and _let_1 (tptp.v3_lattice3 A)) (and _let_1 (tptp.v1_lattice3 A) (tptp.v2_lattice3 A)))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.v2_orders_2 A))) (let ((_let_2 (not (tptp.v3_struct_0 A)))) (=> (tptp.l1_orders_2 A) (=> (and _let_2 _let_1 (tptp.v3_realset2 A)) (and _let_2 _let_1 (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v3_lattice3 A))))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k1_tarski A))) (let ((_let_2 (tptp.g1_orders_2 _let_1 B))) (=> (tptp.m1_relset_1 B _let_1 _let_1) (and (not (tptp.v3_struct_0 _let_2)) (tptp.v1_orders_2 _let_2) (tptp.v3_realset2 _let_2)))))) (exists ((A $$unsorted)) (and (tptp.l1_orders_2 A) (not (tptp.v3_struct_0 A)) (tptp.v1_orders_2 A) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_lattice3 A) (tptp.v3_realset2 A))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (not (tptp.v1_xboole_0 (tptp.k2_pre_topc A))))) (forall ((A $$unsorted)) (let ((_let_1 (not (tptp.v3_struct_0 A)))) (=> (tptp.l1_orders_2 A) (=> (and _let_1 (tptp.v3_lattice3 A)) (and _let_1 (tptp.v3_yellow_0 A)))))) (forall ((A $$unsorted)) (=> (tptp.l1_orders_2 A) (=> (tptp.v3_yellow_0 A) (and (tptp.v1_yellow_0 A) (tptp.v2_yellow_0 A))))) (forall ((A $$unsorted)) (=> (tptp.l1_orders_2 A) (=> (and (tptp.v1_yellow_0 A) (tptp.v2_yellow_0 A)) (tptp.v3_yellow_0 A)))) (exists ((A $$unsorted)) (and (tptp.l1_orders_2 A) (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_lattice3 A) (tptp.v1_yellow_0 A) (tptp.v2_yellow_0 A) (tptp.v3_yellow_0 A))) (forall ((A $$unsorted)) (=> (tptp.l1_orders_2 A) (exists ((B $$unsorted)) (and (tptp.m1_yellow_0 B A) (tptp.v1_orders_2 B) (tptp.v4_yellow_0 B A))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (exists ((B $$unsorted)) (and (tptp.m1_yellow_0 B A) (not (tptp.v3_struct_0 B)) (tptp.v1_orders_2 B) (tptp.v4_yellow_0 B A))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.v4_yellow_0 B A))) (=> (tptp.m1_yellow_0 B A) (=> _let_1 (and (tptp.v2_orders_2 B) _let_1))))))) (forall ((A $$unsorted)) (=> (and (tptp.v3_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.v4_yellow_0 B A))) (=> (tptp.m1_yellow_0 B A) (=> _let_1 (and (tptp.v3_orders_2 B) _let_1))))))) (forall ((A $$unsorted)) (=> (and (tptp.v4_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.v4_yellow_0 B A))) (=> (tptp.m1_yellow_0 B A) (=> _let_1 (and (tptp.v4_orders_2 B) _let_1))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_yellow_0 B A) (=> (tptp.v7_yellow_0 B A) (tptp.v5_yellow_0 B A)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_yellow_0 B A) (=> (tptp.v8_yellow_0 B A) (tptp.v6_yellow_0 B A)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (exists ((B $$unsorted)) (and (tptp.m1_yellow_0 B A) (not (tptp.v3_struct_0 B)) (tptp.v1_orders_2 B) (tptp.v4_yellow_0 B A) (tptp.v5_yellow_0 B A) (tptp.v6_yellow_0 B A) (tptp.v7_yellow_0 B A) (tptp.v8_yellow_0 B A))))) (forall ((A $$unsorted)) (=> (and (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.v5_yellow_0 B A))) (let ((_let_2 (tptp.v4_yellow_0 B A))) (let ((_let_3 (not (tptp.v3_struct_0 B)))) (=> (tptp.m1_yellow_0 B A) (=> (and _let_3 _let_2 _let_1) (and _let_3 (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.v2_lattice3 B) _let_2 _let_1))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.v6_yellow_0 B A))) (let ((_let_2 (tptp.v4_yellow_0 B A))) (let ((_let_3 (not (tptp.v3_struct_0 B)))) (=> (tptp.m1_yellow_0 B A) (=> (and _let_3 _let_2 _let_1) (and _let_3 (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.v1_lattice3 B) _let_2 _let_1))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (= (tptp.v2_orders_2 A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (tptp.r1_orders_2 A B B)))))) (forall ((A $$unsorted)) (=> (tptp.l1_orders_2 A) (= (tptp.v3_orders_2 A) (forall ((B $$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_orders_2 A B C) (tptp.r1_orders_2 A C D)) (tptp.r1_orders_2 A B D))))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_orders_2 A) (= (tptp.v4_orders_2 A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (=> (and (tptp.r1_orders_2 A B C) (tptp.r1_orders_2 A C B)) (= B C))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_orders_2 A) (forall ((B $$unsorted)) (=> (tptp.l1_orders_2 B) (=> (= (tptp.g1_orders_2 (tptp.u1_struct_0 A) (tptp.u1_orders_2 A)) (tptp.g1_orders_2 (tptp.u1_struct_0 B) (tptp.u1_orders_2 B))) (forall ((C $$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 $$unsorted)) (=> (tptp.m1_subset_1 F (tptp.u1_struct_0 B)) (=> (and (= C E) (= D F)) (and (=> (tptp.r1_orders_2 A C D) (tptp.r1_orders_2 B E F)) (=> (tptp.r2_orders_2 A C D) (tptp.r2_orders_2 B E F))))))))))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_orders_2 A) (forall ((B $$unsorted)) (=> (tptp.l1_orders_2 B) (=> (= (tptp.g1_orders_2 (tptp.u1_struct_0 A) (tptp.u1_orders_2 A)) (tptp.g1_orders_2 (tptp.u1_struct_0 B) (tptp.u1_orders_2 B))) (forall ((C $$unsorted) (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)) (=> (= D E) (and (=> (tptp.r2_lattice3 A C D) (tptp.r2_lattice3 B C E)) (=> (tptp.r1_lattice3 A C D) (tptp.r1_lattice3 B C E))))))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_orders_2 A) (forall ((B $$unsorted)) (=> (tptp.l1_orders_2 B) (=> (and (= (tptp.g1_orders_2 (tptp.u1_struct_0 A) (tptp.u1_orders_2 A)) (tptp.g1_orders_2 (tptp.u1_struct_0 B) (tptp.u1_orders_2 B))) (tptp.v3_lattice3 A)) (tptp.v3_lattice3 B)))))) (forall ((A $$unsorted)) (=> (and (tptp.v3_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (=> (tptp.r1_orders_2 A B C) (forall ((D $$unsorted)) (and (=> (tptp.r1_lattice3 A D C) (tptp.r1_lattice3 A D B)) (=> (tptp.r2_lattice3 A D B) (tptp.r2_lattice3 A D C))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (forall ((B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.r1_lattice3 A B C))) (let ((_let_2 (tptp.u1_struct_0 A))) (let ((_let_3 (tptp.k3_xboole_0 B _let_2))) (let ((_let_4 (tptp.r1_lattice3 A _let_3 C))) (let ((_let_5 (tptp.r2_lattice3 A B C))) (let ((_let_6 (tptp.r2_lattice3 A _let_3 C))) (=> (tptp.m1_subset_1 C _let_2) (and (=> _let_5 _let_6) (=> _let_6 _let_5) (=> _let_1 _let_4) (=> _let_4 _let_1)))))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_orders_2 A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (and (tptp.r2_lattice3 A tptp.k1_xboole_0 B) (tptp.r1_lattice3 A tptp.k1_xboole_0 B)))))) (forall ((A $$unsorted)) (=> (tptp.l1_orders_2 A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k1_tarski C))) (let ((_let_2 (tptp.r2_lattice3 A _let_1 B))) (let ((_let_3 (tptp.r1_orders_2 A C B))) (let ((_let_4 (tptp.r1_lattice3 A _let_1 B))) (let ((_let_5 (tptp.r1_orders_2 A B C))) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (and (=> _let_4 _let_5) (=> _let_5 _let_4) (=> _let_2 _let_3) (=> _let_3 _let_2))))))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_orders_2 A) (forall ((B $$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_tarski C D))) (let ((_let_2 (tptp.r2_lattice3 A _let_1 B))) (let ((_let_3 (and (tptp.r1_orders_2 A C B) (tptp.r1_orders_2 A D B)))) (let ((_let_4 (tptp.r1_lattice3 A _let_1 B))) (let ((_let_5 (and (tptp.r1_orders_2 A B C) (tptp.r1_orders_2 A B D)))) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (and (=> _let_4 _let_5) (=> _let_5 _let_4) (=> _let_2 _let_3) (=> _let_3 _let_2))))))))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_orders_2 A) (forall ((B $$unsorted) (C $$unsorted)) (=> (tptp.r1_tarski B C) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (and (=> (tptp.r1_lattice3 A C D) (tptp.r1_lattice3 A B D)) (=> (tptp.r2_lattice3 A C D) (tptp.r2_lattice3 A B D))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_orders_2 A) (forall ((B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k2_xboole_0 B C))) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (and (=> (and (tptp.r1_lattice3 A B D) (tptp.r1_lattice3 A C D)) (tptp.r1_lattice3 A _let_1 D)) (=> (and (tptp.r2_lattice3 A B D) (tptp.r2_lattice3 A C D)) (tptp.r2_lattice3 A _let_1 D)))))))) (forall ((A $$unsorted)) (=> (and (tptp.v3_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted) (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_lattice3 A B C) (tptp.r1_orders_2 A C D)) (tptp.r2_lattice3 A B D)))))))) (forall ((A $$unsorted)) (=> (and (tptp.v3_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted) (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_lattice3 A B C) (tptp.r1_orders_2 A D C)) (tptp.r1_lattice3 A B D)))))))) (forall ((A $$unsorted)) (=> (tptp.l1_orders_2 A) (= (tptp.v1_yellow_0 A) (exists ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (and (tptp.m1_subset_1 B _let_1) (tptp.r1_lattice3 A _let_1 B))))))) (forall ((A $$unsorted)) (=> (tptp.l1_orders_2 A) (= (tptp.v2_yellow_0 A) (exists ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (and (tptp.m1_subset_1 B _let_1) (tptp.r2_lattice3 A _let_1 B))))))) (forall ((A $$unsorted)) (=> (tptp.l1_orders_2 A) (= (tptp.v3_yellow_0 A) (and (tptp.v1_yellow_0 A) (tptp.v2_yellow_0 A))))) (forall ((A $$unsorted)) (=> (tptp.l1_orders_2 A) (forall ((B $$unsorted)) (=> (tptp.l1_orders_2 B) (=> (= (tptp.g1_orders_2 (tptp.u1_struct_0 A) (tptp.u1_orders_2 A)) (tptp.g1_orders_2 (tptp.u1_struct_0 B) (tptp.u1_orders_2 B))) (and (=> (tptp.v1_yellow_0 A) (tptp.v1_yellow_0 B)) (=> (tptp.v2_yellow_0 A) (tptp.v2_yellow_0 B)))))))) (forall ((A $$unsorted)) (=> (tptp.l1_orders_2 A) (forall ((B $$unsorted)) (= (tptp.r1_yellow_0 A B) (exists ((C $$unsorted)) (and (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (tptp.r2_lattice3 A B C) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (=> (tptp.r2_lattice3 A B D) (tptp.r1_orders_2 A C D)))) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (=> (and (tptp.r2_lattice3 A B D) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.u1_struct_0 A)) (=> (tptp.r2_lattice3 A B E) (tptp.r1_orders_2 A D E))))) (= D C)))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_orders_2 A) (forall ((B $$unsorted)) (= (tptp.r2_yellow_0 A B) (exists ((C $$unsorted)) (and (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (tptp.r1_lattice3 A B C) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (=> (tptp.r1_lattice3 A B D) (tptp.r1_orders_2 A D C)))) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (=> (and (tptp.r1_lattice3 A B D) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.u1_struct_0 A)) (=> (tptp.r1_lattice3 A B E) (tptp.r1_orders_2 A E D))))) (= D C)))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_orders_2 A) (forall ((B $$unsorted)) (=> (tptp.l1_orders_2 B) (=> (= (tptp.g1_orders_2 (tptp.u1_struct_0 A) (tptp.u1_orders_2 A)) (tptp.g1_orders_2 (tptp.u1_struct_0 B) (tptp.u1_orders_2 B))) (forall ((C $$unsorted)) (and (=> (tptp.r1_yellow_0 A C) (tptp.r1_yellow_0 B C)) (=> (tptp.r2_yellow_0 A C) (tptp.r2_yellow_0 B C))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v4_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (= (tptp.r1_yellow_0 A B) (exists ((C $$unsorted)) (and (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (tptp.r2_lattice3 A B C) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (=> (tptp.r2_lattice3 A B D) (tptp.r1_orders_2 A C D)))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v4_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (= (tptp.r2_yellow_0 A B) (exists ((C $$unsorted)) (and (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (tptp.r1_lattice3 A B C) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (=> (tptp.r1_lattice3 A B D) (tptp.r1_orders_2 A D C)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_orders_2 A) (tptp.v3_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (and (tptp.r1_yellow_0 A B) (tptp.r2_yellow_0 A B))))) (forall ((A $$unsorted)) (=> (and (tptp.v4_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$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 (and (= D (tptp.k10_lattice3 A B C)) (tptp.r1_yellow_0 A (tptp.k2_tarski B C))))) (let ((_let_2 (tptp.r1_orders_2 A C D))) (let ((_let_3 (tptp.r1_orders_2 A B D))) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (and (=> _let_1 (and _let_3 _let_2 (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.u1_struct_0 A)) (=> (and (tptp.r1_orders_2 A B E) (tptp.r1_orders_2 A C E)) (tptp.r1_orders_2 A D E)))))) (=> (and _let_3 _let_2 (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.u1_struct_0 A)) (=> (and (tptp.r1_orders_2 A B E) (tptp.r1_orders_2 A C E)) (tptp.r1_orders_2 A D E))))) _let_1))))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v4_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$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 (and (= D (tptp.k11_lattice3 A B C)) (tptp.r2_yellow_0 A (tptp.k2_tarski B C))))) (let ((_let_2 (tptp.r1_orders_2 A D C))) (let ((_let_3 (tptp.r1_orders_2 A D B))) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (and (=> _let_1 (and _let_3 _let_2 (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.u1_struct_0 A)) (=> (and (tptp.r1_orders_2 A E B) (tptp.r1_orders_2 A E C)) (tptp.r1_orders_2 A E D)))))) (=> (and _let_3 _let_2 (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.u1_struct_0 A)) (=> (and (tptp.r1_orders_2 A E B) (tptp.r1_orders_2 A E C)) (tptp.r1_orders_2 A E D))))) _let_1))))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v4_orders_2 A) (tptp.l1_orders_2 A)) (= (tptp.v1_lattice3 A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (tptp.r1_yellow_0 A (tptp.k2_tarski B C))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v4_orders_2 A) (tptp.l1_orders_2 A)) (= (tptp.v2_lattice3 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_yellow_0 A (tptp.k2_tarski B C))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$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)) (= (= D (tptp.k13_lattice3 A B C)) (and (tptp.r1_orders_2 A B D) (tptp.r1_orders_2 A C D) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.u1_struct_0 A)) (=> (and (tptp.r1_orders_2 A B E) (tptp.r1_orders_2 A C E)) (tptp.r1_orders_2 A D E)))))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v4_orders_2 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 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 $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (= (= D (tptp.k12_lattice3 A B C)) (and (tptp.r1_orders_2 A D B) (tptp.r1_orders_2 A D C) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.u1_struct_0 A)) (=> (and (tptp.r1_orders_2 A E B) (tptp.r1_orders_2 A E C)) (tptp.r1_orders_2 A E D)))))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (= B (tptp.k13_lattice3 A B C)) (tptp.r1_orders_2 A C B)))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v4_orders_2 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 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 (tptp.k12_lattice3 A B C)) (tptp.r3_orders_2 A B C)))))))) (forall ((A $$unsorted)) (=> (tptp.l1_orders_2 A) (forall ((B $$unsorted) (C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (=> (tptp.r1_yellow_0 A B) (= (= C (tptp.k1_yellow_0 A B)) (and (tptp.r2_lattice3 A B C) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (=> (tptp.r2_lattice3 A B D) (tptp.r1_orders_2 A C D))))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_orders_2 A) (forall ((B $$unsorted) (C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (=> (tptp.r2_yellow_0 A B) (= (= C (tptp.k2_yellow_0 A B)) (and (tptp.r1_lattice3 A B C) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (=> (tptp.r1_lattice3 A B D) (tptp.r1_orders_2 A D C))))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_orders_2 A) (forall ((B $$unsorted)) (=> (tptp.l1_orders_2 B) (=> (= (tptp.g1_orders_2 (tptp.u1_struct_0 A) (tptp.u1_orders_2 A)) (tptp.g1_orders_2 (tptp.u1_struct_0 B) (tptp.u1_orders_2 B))) (forall ((C $$unsorted)) (=> (tptp.r1_yellow_0 A C) (= (tptp.k1_yellow_0 A C) (tptp.k1_yellow_0 B C))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_orders_2 A) (forall ((B $$unsorted)) (=> (tptp.l1_orders_2 B) (=> (= (tptp.g1_orders_2 (tptp.u1_struct_0 A) (tptp.u1_orders_2 A)) (tptp.g1_orders_2 (tptp.u1_struct_0 B) (tptp.u1_orders_2 B))) (forall ((C $$unsorted)) (=> (tptp.r2_yellow_0 A C) (= (tptp.k2_yellow_0 A C) (tptp.k2_yellow_0 B C))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v3_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k14_lattice3 A))) (and (= (tptp.k1_yellow_0 A B) (tptp.k15_lattice3 _let_1 B)) (= (tptp.k2_yellow_0 A B) (tptp.k16_lattice3 _let_1 B))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v4_lattice3 A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k3_lattice3 A))) (and (= (tptp.k15_lattice3 A B) (tptp.k1_yellow_0 _let_1 B)) (= (tptp.k16_lattice3 A B) (tptp.k2_yellow_0 _let_1 B))))))) (forall ((A $$unsorted)) (=> (and (tptp.v4_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (let ((_let_1 (and (= B (tptp.k1_yellow_0 A C)) (tptp.r1_yellow_0 A C)))) (let ((_let_2 (tptp.r2_lattice3 A C B))) (and (=> _let_1 (and _let_2 (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (=> (tptp.r2_lattice3 A C D) (tptp.r1_orders_2 A B D)))))) (=> (and _let_2 (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (=> (tptp.r2_lattice3 A C D) (tptp.r1_orders_2 A B D))))) _let_1))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v4_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (let ((_let_1 (and (= B (tptp.k2_yellow_0 A C)) (tptp.r2_yellow_0 A C)))) (let ((_let_2 (tptp.r1_lattice3 A C B))) (and (=> _let_1 (and _let_2 (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (=> (tptp.r1_lattice3 A C D) (tptp.r1_orders_2 A D B)))))) (=> (and _let_2 (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (=> (tptp.r1_lattice3 A C D) (tptp.r1_orders_2 A D B))))) _let_1))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_orders_2 A) (tptp.v3_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (= (= B (tptp.k1_yellow_0 A C)) (and (tptp.r2_lattice3 A C B) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (=> (tptp.r2_lattice3 A C D) (tptp.r1_orders_2 A B D))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_orders_2 A) (tptp.v3_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (= (= B (tptp.k2_yellow_0 A C)) (and (tptp.r1_lattice3 A C B) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (=> (tptp.r1_lattice3 A C D) (tptp.r1_orders_2 A D B))))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_orders_2 A) (forall ((B $$unsorted) (C $$unsorted)) (=> (and (tptp.r1_tarski B C) (tptp.r1_yellow_0 A B) (tptp.r1_yellow_0 A C)) (tptp.r1_orders_2 A (tptp.k1_yellow_0 A B) (tptp.k1_yellow_0 A C)))))) (forall ((A $$unsorted)) (=> (tptp.l1_orders_2 A) (forall ((B $$unsorted) (C $$unsorted)) (=> (and (tptp.r1_tarski B C) (tptp.r2_yellow_0 A B) (tptp.r2_yellow_0 A C)) (tptp.r1_orders_2 A (tptp.k2_yellow_0 A C) (tptp.k2_yellow_0 A B)))))) (forall ((A $$unsorted)) (=> (and (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k2_xboole_0 B C))) (=> (and (tptp.r1_yellow_0 A B) (tptp.r1_yellow_0 A C) (tptp.r1_yellow_0 A _let_1)) (= (tptp.k1_yellow_0 A _let_1) (tptp.k10_lattice3 A (tptp.k1_yellow_0 A B) (tptp.k1_yellow_0 A C)))))))) (forall ((A $$unsorted)) (=> (and (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k2_xboole_0 B C))) (=> (and (tptp.r2_yellow_0 A B) (tptp.r2_yellow_0 A C) (tptp.r2_yellow_0 A _let_1)) (= (tptp.k2_yellow_0 A _let_1) (tptp.k11_lattice3 A (tptp.k2_yellow_0 A B) (tptp.k2_yellow_0 A C)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v4_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k1_struct_0 A B))) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (and (tptp.r1_yellow_0 A _let_1) (tptp.r2_yellow_0 A _let_1))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v4_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k1_struct_0 A B))) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (and (= (tptp.k1_yellow_0 A _let_1) B) (= (tptp.k2_yellow_0 A _let_1) B))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (tptp.k2_yellow_0 A (tptp.k2_struct_0 A B C)) (tptp.k12_lattice3 A B C)))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.l1_orders_2 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_yellow_0 A (tptp.k2_struct_0 A B C)) (tptp.k13_lattice3 A B C)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_orders_2 A) (tptp.v1_yellow_0 A) (tptp.l1_orders_2 A)) (and (tptp.r1_yellow_0 A tptp.k1_xboole_0) (tptp.r2_yellow_0 A (tptp.u1_struct_0 A))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_orders_2 A) (tptp.v2_yellow_0 A) (tptp.l1_orders_2 A)) (and (tptp.r2_yellow_0 A tptp.k1_xboole_0) (tptp.r1_yellow_0 A (tptp.u1_struct_0 A))))) (forall ((A $$unsorted)) (=> (tptp.l1_orders_2 A) (= (tptp.k3_yellow_0 A) (tptp.k1_yellow_0 A tptp.k1_xboole_0)))) (forall ((A $$unsorted)) (=> (tptp.l1_orders_2 A) (= (tptp.k4_yellow_0 A) (tptp.k2_yellow_0 A tptp.k1_xboole_0)))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_orders_2 A) (tptp.v1_yellow_0 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (tptp.r1_orders_2 A (tptp.k3_yellow_0 A) B))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_orders_2 A) (tptp.v2_yellow_0 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (tptp.r1_orders_2 A B (tptp.k4_yellow_0 A)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (forall ((B $$unsorted) (C $$unsorted)) (=> (and (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (= (tptp.r2_lattice3 A B D) (tptp.r2_lattice3 A C D)))) (tptp.r1_yellow_0 A B)) (tptp.r1_yellow_0 A C))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (forall ((B $$unsorted) (C $$unsorted)) (=> (and (tptp.r1_yellow_0 A B) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (= (tptp.r2_lattice3 A B D) (tptp.r2_lattice3 A C D))))) (= (tptp.k1_yellow_0 A B) (tptp.k1_yellow_0 A C)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (forall ((B $$unsorted) (C $$unsorted)) (=> (and (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (= (tptp.r1_lattice3 A B D) (tptp.r1_lattice3 A C D)))) (tptp.r2_yellow_0 A B)) (tptp.r2_yellow_0 A C))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (forall ((B $$unsorted) (C $$unsorted)) (=> (and (tptp.r2_yellow_0 A B) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (= (tptp.r1_lattice3 A B D) (tptp.r1_lattice3 A C D))))) (= (tptp.k2_yellow_0 A B) (tptp.k2_yellow_0 A C)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.r2_yellow_0 A B))) (let ((_let_2 (tptp.k3_xboole_0 B (tptp.u1_struct_0 A)))) (let ((_let_3 (tptp.r2_yellow_0 A _let_2))) (let ((_let_4 (tptp.r1_yellow_0 A B))) (let ((_let_5 (tptp.r1_yellow_0 A _let_2))) (and (=> _let_4 _let_5) (=> _let_5 _let_4) (=> _let_1 _let_3) (=> _let_3 _let_1)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k3_xboole_0 B (tptp.u1_struct_0 A)))) (=> (or (tptp.r1_yellow_0 A B) (tptp.r1_yellow_0 A _let_1)) (= (tptp.k1_yellow_0 A B) (tptp.k1_yellow_0 A _let_1))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k3_xboole_0 B (tptp.u1_struct_0 A)))) (=> (or (tptp.r2_yellow_0 A B) (tptp.r2_yellow_0 A _let_1)) (= (tptp.k2_yellow_0 A B) (tptp.k2_yellow_0 A _let_1))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (=> (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (tptp.r1_yellow_0 A B))) (tptp.v3_lattice3 A)))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.l1_orders_2 A)) (= (tptp.v1_lattice3 A) (forall ((B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.v1_finset_1 B) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (tptp.r1_yellow_0 A B)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.l1_orders_2 A)) (= (tptp.v2_lattice3 A) (forall ((B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.v1_finset_1 B) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (tptp.r2_yellow_0 A B)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m2_relset_1 B A A) (= B (tptp.k1_toler_1 B A)))) (forall ((A $$unsorted)) (=> (tptp.l1_orders_2 A) (forall ((B $$unsorted)) (=> (tptp.l1_orders_2 B) (= (tptp.m1_yellow_0 B A) (and (tptp.r1_tarski (tptp.u1_struct_0 B) (tptp.u1_struct_0 A)) (tptp.r1_tarski (tptp.u1_orders_2 B) (tptp.u1_orders_2 A)))))))) (forall ((A $$unsorted)) (=> (tptp.l1_orders_2 A) (forall ((B $$unsorted)) (=> (tptp.m1_yellow_0 B A) (= (tptp.v4_yellow_0 B A) (= (tptp.u1_orders_2 B) (tptp.k1_toler_1 (tptp.u1_orders_2 A) (tptp.u1_struct_0 B)))))))) (forall ((A $$unsorted)) (=> (tptp.l1_orders_2 A) (forall ((B $$unsorted)) (let ((_let_1 (tptp.g1_orders_2 B (tptp.k1_toler_1 (tptp.u1_orders_2 A) B)))) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (and (tptp.v4_yellow_0 _let_1 A) (tptp.m1_yellow_0 _let_1 A))))))) (forall ((A $$unsorted)) (=> (tptp.l1_orders_2 A) (forall ((B $$unsorted)) (=> (and (tptp.v4_yellow_0 B A) (tptp.m1_yellow_0 B A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 C))) (let ((_let_2 (tptp.u1_struct_0 B))) (=> (and (tptp.v4_yellow_0 C A) (tptp.m1_yellow_0 C A)) (=> (= _let_2 _let_1) (= (tptp.g1_orders_2 _let_2 (tptp.u1_orders_2 B)) (tptp.g1_orders_2 _let_1 (tptp.u1_orders_2 C)))))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_orders_2 A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (=> (and (tptp.v1_orders_2 C) (tptp.v4_yellow_0 C A) (tptp.m1_yellow_0 C A)) (= (= C (tptp.k5_yellow_0 A B)) (= (tptp.u1_struct_0 C) B)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.m1_yellow_0 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 B)) (tptp.m1_subset_1 C (tptp.u1_struct_0 A)))))))) (forall ((A $$unsorted)) (=> (tptp.l1_orders_2 A) (forall ((B $$unsorted)) (=> (tptp.m1_yellow_0 B A) (forall ((C $$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 B)) (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F (tptp.u1_struct_0 B)) (=> (and (= E C) (= F D) (tptp.r1_orders_2 B E F)) (tptp.r1_orders_2 A C D)))))))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_orders_2 A) (forall ((B $$unsorted)) (=> (and (tptp.v4_yellow_0 B A) (tptp.m1_yellow_0 B A)) (forall ((C $$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 B)) (forall ((F $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (=> (tptp.m1_subset_1 F _let_1) (=> (and (= E C) (= F D) (tptp.r1_orders_2 A C D) (tptp.r2_hidden E _let_1) (tptp.r2_hidden F _let_1)) (tptp.r1_orders_2 B E F))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v4_yellow_0 B A) (tptp.m1_yellow_0 B A)) (forall ((C $$unsorted) (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)) (=> (= E D) (and (=> (tptp.r1_lattice3 A C D) (tptp.r1_lattice3 B C E)) (=> (tptp.r2_lattice3 A C D) (tptp.r2_lattice3 B C E)))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.m1_yellow_0 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B))) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.u1_struct_0 B)) (=> (= E D) (and (=> (tptp.r1_lattice3 B C E) (tptp.r1_lattice3 A C D)) (=> (tptp.r2_lattice3 B C E) (tptp.r2_lattice3 A C D)))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_yellow_0 B A) (= (tptp.v5_yellow_0 B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.k2_struct_0 A C D))) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (=> (and (tptp.r2_hidden C _let_1) (tptp.r2_hidden D _let_1) (tptp.r2_yellow_0 A _let_2)) (tptp.r2_hidden (tptp.k2_yellow_0 A _let_2) _let_1))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_yellow_0 B A) (= (tptp.v6_yellow_0 B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.k2_struct_0 A C D))) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (=> (and (tptp.r2_hidden C _let_1) (tptp.r2_hidden D _let_1) (tptp.r1_yellow_0 A _let_2)) (tptp.r2_hidden (tptp.k1_yellow_0 A _let_2) _let_1))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_yellow_0 B A) (= (tptp.v7_yellow_0 B A) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 _let_1)) (=> (tptp.r2_yellow_0 A C) (tptp.r2_hidden (tptp.k2_yellow_0 A C) _let_1)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_yellow_0 B A) (= (tptp.v8_yellow_0 B A) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 _let_1)) (=> (tptp.r1_yellow_0 A C) (tptp.r2_hidden (tptp.k1_yellow_0 A C) _let_1)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v4_yellow_0 B A) (tptp.m1_yellow_0 B A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k2_yellow_0 A C))) (let ((_let_2 (tptp.u1_struct_0 B))) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 _let_2)) (=> (and (tptp.r2_yellow_0 A C) (tptp.r2_hidden _let_1 _let_2)) (and (tptp.r2_yellow_0 B C) (= (tptp.k2_yellow_0 B C) _let_1))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v4_yellow_0 B A) (tptp.m1_yellow_0 B A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k1_yellow_0 A C))) (let ((_let_2 (tptp.u1_struct_0 B))) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 _let_2)) (=> (and (tptp.r1_yellow_0 A C) (tptp.r2_hidden _let_1 _let_2)) (and (tptp.r1_yellow_0 B C) (= (tptp.k1_yellow_0 B C) _let_1))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v4_yellow_0 B A) (tptp.m1_yellow_0 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 B)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k2_struct_0 B C D))) (let ((_let_2 (tptp.k2_yellow_0 A _let_1))) (let ((_let_3 (tptp.u1_struct_0 B))) (=> (tptp.m1_subset_1 D _let_3) (=> (and (tptp.r2_yellow_0 A _let_1) (tptp.r2_hidden _let_2 _let_3)) (and (tptp.r2_yellow_0 B _let_1) (= (tptp.k2_yellow_0 B _let_1) _let_2)))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v4_yellow_0 B A) (tptp.m1_yellow_0 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 B)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k2_struct_0 B C D))) (let ((_let_2 (tptp.k1_yellow_0 A _let_1))) (let ((_let_3 (tptp.u1_struct_0 B))) (=> (tptp.m1_subset_1 D _let_3) (=> (and (tptp.r1_yellow_0 A _let_1) (tptp.r2_hidden _let_2 _let_3)) (and (tptp.r1_yellow_0 B _let_1) (= (tptp.k1_yellow_0 B _let_1) _let_2)))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v3_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v4_yellow_0 B A) (tptp.m1_yellow_0 B A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k2_yellow_0 A C))) (let ((_let_2 (tptp.u1_struct_0 B))) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 _let_2)) (=> (tptp.r2_hidden _let_1 _let_2) (= (tptp.k2_yellow_0 B C) _let_1)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v3_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v4_yellow_0 B A) (tptp.m1_yellow_0 B A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k1_yellow_0 A C))) (let ((_let_2 (tptp.u1_struct_0 B))) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 _let_2)) (=> (tptp.r2_hidden _let_1 _let_2) (= (tptp.k1_yellow_0 B C) _let_1)))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v4_yellow_0 B A) (tptp.v5_yellow_0 B A) (tptp.m1_yellow_0 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 B)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 B)) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.u1_struct_0 A)) (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F (tptp.u1_struct_0 A)) (=> (and (= E C) (= F D)) (= (tptp.k12_lattice3 B C D) (tptp.k12_lattice3 A E F))))))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v4_yellow_0 B A) (tptp.v6_yellow_0 B A) (tptp.m1_yellow_0 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 B)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 B)) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.u1_struct_0 A)) (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F (tptp.u1_struct_0 A)) (=> (and (= E C) (= F D)) (= (tptp.k13_lattice3 B C D) (tptp.k13_lattice3 A E F))))))))))))))) (exists ((A $$unsorted)) (and (not (tptp.v3_struct_0 A)) (tptp.v1_orders_2 A) (tptp.l1_orders_2 A) (= (tptp.u1_struct_0 A) tptp.f1_s1_yellow_0) (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_orders_2 A B C) (tptp.p1_s1_yellow_0 B C)))))))) (forall ((A $$unsorted)) (=> (tptp.l1_orders_2 A) (forall ((B $$unsorted)) (=> (tptp.m1_yellow_0 B A) (tptp.l1_orders_2 B))))) (forall ((A $$unsorted)) (=> (tptp.l1_orders_2 A) (exists ((B $$unsorted)) (tptp.m1_yellow_0 B A)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.l1_orders_2 A) (tptp.m1_subset_1 (tptp.k1_yellow_0 A B) (tptp.u1_struct_0 A)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.l1_orders_2 A) (tptp.m1_subset_1 (tptp.k2_yellow_0 A B) (tptp.u1_struct_0 A)))) (forall ((A $$unsorted)) (=> (tptp.l1_orders_2 A) (tptp.m1_subset_1 (tptp.k3_yellow_0 A) (tptp.u1_struct_0 A)))) (forall ((A $$unsorted)) (=> (tptp.l1_orders_2 A) (tptp.m1_subset_1 (tptp.k4_yellow_0 A) (tptp.u1_struct_0 A)))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k5_yellow_0 A B))) (=> (and (tptp.l1_orders_2 A) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (and (tptp.v1_orders_2 _let_1) (tptp.v4_yellow_0 _let_1 A) (tptp.m1_yellow_0 _let_1 A))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k1_pre_topc A))) (=> (tptp.l1_orders_2 A) (and (tptp.v1_xboole_0 _let_1) (tptp.v5_orders_2 _let_1 A) (tptp.v1_finset_1 _let_1) (tptp.v1_membered _let_1) (tptp.v2_membered _let_1) (tptp.v3_membered _let_1) (tptp.v4_membered _let_1) (tptp.v5_membered _let_1) (tptp.v1_waybel_0 _let_1 A) (tptp.v2_waybel_0 _let_1 A))))) (forall ((A $$unsorted)) (=> (tptp.l1_orders_2 A) (exists ((B $$unsorted)) (and (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (tptp.v1_waybel_0 B A) (tptp.v2_waybel_0 B A))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.l1_orders_2 A)) (exists ((B $$unsorted)) (and (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (not (tptp.v1_xboole_0 B)) (tptp.v1_finset_1 B) (tptp.v1_waybel_0 B A) (tptp.v2_waybel_0 B A))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k2_pre_topc A))) (=> (and (tptp.v1_lattice3 A) (tptp.l1_orders_2 A)) (and (not (tptp.v1_xboole_0 _let_1)) (tptp.v1_waybel_0 _let_1 A))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k2_pre_topc A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_yellow_0 A) (tptp.l1_orders_2 A)) (and (not (tptp.v1_xboole_0 _let_1)) (tptp.v1_waybel_0 _let_1 A))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k2_pre_topc A))) (=> (and (tptp.v2_lattice3 A) (tptp.l1_orders_2 A)) (and (not (tptp.v1_xboole_0 _let_1)) (tptp.v2_waybel_0 _let_1 A))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k2_pre_topc A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v1_yellow_0 A) (tptp.l1_orders_2 A)) (and (not (tptp.v1_xboole_0 _let_1)) (tptp.v2_waybel_0 _let_1 A))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_yellow_0 B A) (=> (tptp.v7_yellow_0 B A) (tptp.v3_waybel_0 B A)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_yellow_0 B A) (=> (tptp.v8_yellow_0 B A) (tptp.v4_waybel_0 B A)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (exists ((B $$unsorted)) (and (tptp.m1_yellow_0 B A) (not (tptp.v3_struct_0 B)) (tptp.v1_orders_2 B) (tptp.v4_yellow_0 B A) (tptp.v5_yellow_0 B A) (tptp.v6_yellow_0 B A) (tptp.v7_yellow_0 B A) (tptp.v8_yellow_0 B A) (tptp.v3_waybel_0 B A) (tptp.v4_waybel_0 B A))))) (forall ((A $$unsorted)) (=> (tptp.l1_struct_0 A) (exists ((B $$unsorted)) (and (tptp.l1_waybel_0 B A) (tptp.v6_waybel_0 B A))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.g1_waybel_0 A B C D))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (tptp.l1_struct_0 A) (not (tptp.v1_xboole_0 B)) (tptp.m1_relset_1 C B B) (tptp.v1_funct_1 D) (tptp.v1_funct_2 D B _let_2) (tptp.m1_relset_1 D B _let_2)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v6_waybel_0 _let_1 A)))))) (forall ((A $$unsorted)) (=> (tptp.l1_struct_0 A) (exists ((B $$unsorted)) (and (tptp.l1_waybel_0 B A) (not (tptp.v3_struct_0 B)) (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.v6_waybel_0 B A) (tptp.v7_waybel_0 B))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.v7_waybel_0 B))) (let ((_let_2 (not (tptp.v3_struct_0 B)))) (=> (tptp.l1_waybel_0 B A) (=> (and _let_2 _let_1 (tptp.v8_waybel_0 B A)) (and _let_2 _let_1 (tptp.v10_waybel_0 B A))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.v7_waybel_0 B))) (let ((_let_2 (not (tptp.v3_struct_0 B)))) (=> (tptp.l1_waybel_0 B A) (=> (and _let_2 _let_1 (tptp.v9_waybel_0 B A)) (and _let_2 _let_1 (tptp.v11_waybel_0 B A))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.l1_orders_2 A)) (exists ((B $$unsorted)) (and (tptp.l1_waybel_0 B A) (not (tptp.v3_struct_0 B)) (tptp.v6_waybel_0 B A) (tptp.v7_waybel_0 B) (tptp.v8_waybel_0 B A) (tptp.v9_waybel_0 B A) (tptp.v10_waybel_0 B A) (tptp.v11_waybel_0 B A))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.l1_orders_2 A) (not (tptp.v1_xboole_0 B)) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (not (tptp.v1_xboole_0 (tptp.k4_waybel_0 A B))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.l1_orders_2 A) (not (tptp.v1_xboole_0 B)) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (not (tptp.v1_xboole_0 (tptp.k5_waybel_0 A B))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k6_waybel_0 A B))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.l1_orders_2 A) (tptp.m1_subset_1 B (tptp.u1_struct_0 A))) (and (not (tptp.v1_xboole_0 _let_1)) (tptp.v1_waybel_0 _let_1 A))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k7_waybel_0 A B))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.l1_orders_2 A) (tptp.m1_subset_1 B (tptp.u1_struct_0 A))) (and (not (tptp.v1_xboole_0 _let_1)) (tptp.v2_waybel_0 _let_1 A))))) (forall ((A $$unsorted)) (=> (tptp.l1_orders_2 A) (exists ((B $$unsorted)) (and (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (tptp.v12_waybel_0 B A) (tptp.v13_waybel_0 B A))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_orders_2 A) (tptp.l1_orders_2 A) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (tptp.v12_waybel_0 (tptp.k4_waybel_0 A B) A))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_orders_2 A) (tptp.l1_orders_2 A) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (tptp.v13_waybel_0 (tptp.k5_waybel_0 A B) A))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_orders_2 A) (tptp.l1_orders_2 A) (tptp.m1_subset_1 B (tptp.u1_struct_0 A))) (tptp.v12_waybel_0 (tptp.k6_waybel_0 A B) A))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_orders_2 A) (tptp.l1_orders_2 A) (tptp.m1_subset_1 B (tptp.u1_struct_0 A))) (tptp.v13_waybel_0 (tptp.k7_waybel_0 A B) A))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k2_pre_topc A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (and (not (tptp.v1_xboole_0 _let_1)) (tptp.v12_waybel_0 _let_1 A) (tptp.v13_waybel_0 _let_1 A))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (exists ((B $$unsorted)) (and (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (not (tptp.v1_xboole_0 B)) (tptp.v12_waybel_0 B A) (tptp.v13_waybel_0 B A))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.l1_orders_2 A)) (exists ((B $$unsorted)) (and (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (not (tptp.v1_xboole_0 B)) (tptp.v1_waybel_0 B A) (tptp.v12_waybel_0 B A))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.l1_orders_2 A)) (exists ((B $$unsorted)) (and (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (not (tptp.v1_xboole_0 B)) (tptp.v2_waybel_0 B A) (tptp.v13_waybel_0 B A))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 A)) (exists ((B $$unsorted)) (and (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (not (tptp.v1_xboole_0 B)) (tptp.v1_waybel_0 B A) (tptp.v2_waybel_0 B A) (tptp.v12_waybel_0 B A) (tptp.v13_waybel_0 B A))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k4_waybel_0 A B))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.l1_orders_2 A) (tptp.v1_waybel_0 B A) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (and (tptp.v1_waybel_0 _let_1 A) (tptp.v12_waybel_0 _let_1 A))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k5_waybel_0 A B))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.l1_orders_2 A) (tptp.v2_waybel_0 B A) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (and (tptp.v2_waybel_0 _let_1 A) (tptp.v13_waybel_0 _let_1 A))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_orders_2 A) (tptp.v1_yellow_0 A) (tptp.l1_orders_2 A) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (not (tptp.v1_xboole_0 (tptp.k12_waybel_0 A B))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_orders_2 A) (tptp.v2_yellow_0 A) (tptp.l1_orders_2 A) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (not (tptp.v1_xboole_0 (tptp.k13_waybel_0 A B))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v4_orders_2 A) (tptp.l1_orders_2 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.k12_waybel_0 A B))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v4_orders_2 A) (tptp.l1_orders_2 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.k13_waybel_0 A B))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.l1_orders_2 A) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (tptp.v1_waybel_0 (tptp.k12_waybel_0 A B) A))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 A) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (tptp.v2_waybel_0 (tptp.k13_waybel_0 A B) A))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.v2_orders_2 A))) (let ((_let_2 (not (tptp.v3_struct_0 A)))) (=> (tptp.l1_orders_2 A) (=> (and _let_2 _let_1 (tptp.v3_realset2 A)) (and _let_2 _let_1 (tptp.v16_waybel_0 A))))))) (exists ((A $$unsorted)) (and (tptp.l1_orders_2 A) (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v16_waybel_0 A))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k7_lattice3 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v16_waybel_0 A) (tptp.l1_orders_2 A)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v1_orders_2 _let_1) (tptp.v2_orders_2 _let_1) (tptp.v3_orders_2 _let_1) (tptp.v4_orders_2 _let_1) (tptp.v16_waybel_0 _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A) (not (tptp.v3_struct_0 B)) (tptp.l1_orders_2 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (let ((_let_3 (tptp.v1_funct_2 C _let_2 _let_1))) (let ((_let_4 (tptp.v1_funct_1 C))) (=> (tptp.m1_relset_1 C _let_2 _let_1) (=> (and _let_4 _let_3 (tptp.v17_waybel_0 C A B)) (and _let_4 _let_3 (tptp.v19_waybel_0 C A B) (tptp.v21_waybel_0 C A B))))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A) (not (tptp.v3_struct_0 B)) (tptp.l1_orders_2 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (let ((_let_3 (tptp.v1_funct_2 C _let_2 _let_1))) (let ((_let_4 (tptp.v1_funct_1 C))) (=> (tptp.m1_relset_1 C _let_2 _let_1) (=> (and _let_4 _let_3 (tptp.v18_waybel_0 C A B)) (and _let_4 _let_3 (tptp.v20_waybel_0 C A B) (tptp.v22_waybel_0 C A B))))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A) (not (tptp.v3_struct_0 B)) (tptp.l1_orders_2 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (let ((_let_3 (tptp.v1_funct_2 C _let_2 _let_1))) (let ((_let_4 (tptp.v1_funct_1 C))) (=> (tptp.m1_relset_1 C _let_2 _let_1) (=> (and _let_4 _let_3 (tptp.v23_waybel_0 C A B)) (and _let_4 (tptp.v2_funct_1 C) _let_3 (tptp.v5_orders_3 C A B))))))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.v1_lattice3 A))) (let ((_let_2 (tptp.v2_orders_2 A))) (=> (tptp.l1_orders_2 A) (=> (and _let_2 _let_1 (tptp.v24_waybel_0 A)) (and (not (tptp.v3_struct_0 A)) _let_2 _let_1 (tptp.v2_yellow_0 A))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.v2_orders_2 A))) (let ((_let_2 (not (tptp.v3_struct_0 A)))) (=> (tptp.l1_orders_2 A) (=> (and _let_2 _let_1 (tptp.v3_lattice3 A)) (and _let_2 _let_1 (tptp.v24_waybel_0 A) (tptp.v25_waybel_0 A))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.v2_orders_2 A))) (let ((_let_2 (not (tptp.v3_struct_0 A)))) (=> (tptp.l1_orders_2 A) (=> (and _let_2 _let_1 (tptp.v25_waybel_0 A)) (and _let_2 _let_1 (tptp.v1_yellow_0 A))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.v1_yellow_0 A))) (let ((_let_2 (tptp.v1_lattice3 A))) (let ((_let_3 (tptp.v4_orders_2 A))) (let ((_let_4 (tptp.v3_orders_2 A))) (let ((_let_5 (tptp.v2_orders_2 A))) (let ((_let_6 (not (tptp.v3_struct_0 A)))) (=> (tptp.l1_orders_2 A) (=> (and _let_6 _let_5 _let_4 _let_3 _let_2 _let_1 (tptp.v24_waybel_0 A)) (and _let_6 _let_5 _let_4 _let_3 _let_2 (tptp.v2_lattice3 A) (tptp.v3_lattice3 A) _let_1 (tptp.v2_yellow_0 A) (tptp.v3_yellow_0 A))))))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.v4_orders_2 A))) (let ((_let_2 (tptp.v2_orders_2 A))) (let ((_let_3 (not (tptp.v3_struct_0 A)))) (=> (tptp.l1_orders_2 A) (=> (and _let_3 _let_2 _let_1 (tptp.v25_waybel_0 A)) (and _let_3 _let_2 _let_1 (tptp.v2_lattice3 A)))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.v2_yellow_0 A))) (let ((_let_2 (tptp.v4_orders_2 A))) (let ((_let_3 (tptp.v2_orders_2 A))) (let ((_let_4 (not (tptp.v3_struct_0 A)))) (=> (tptp.l1_orders_2 A) (=> (and _let_4 _let_3 _let_2 _let_1 (tptp.v25_waybel_0 A)) (and _let_4 _let_3 _let_2 (tptp.v1_lattice3 A) _let_1)))))))) (exists ((A $$unsorted)) (and (tptp.l1_orders_2 A) (not (tptp.v3_struct_0 A)) (tptp.v1_orders_2 A) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_lattice3 A) (tptp.v1_yellow_0 A) (tptp.v2_yellow_0 A) (tptp.v3_yellow_0 A) (tptp.v24_waybel_0 A) (tptp.v25_waybel_0 A))) (forall ((A $$unsorted)) (=> (tptp.l1_orders_2 A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (tptp.v1_waybel_0 B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (not (and (tptp.r2_hidden C B) (tptp.r2_hidden D B) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.u1_struct_0 A)) (not (and (tptp.r2_hidden E B) (tptp.r1_orders_2 A C E) (tptp.r1_orders_2 A D E)))))))))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_orders_2 A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (tptp.v2_waybel_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)) (not (and (tptp.r2_hidden C B) (tptp.r2_hidden D B) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.u1_struct_0 A)) (not (and (tptp.r2_hidden E B) (tptp.r1_orders_2 A E C) (tptp.r1_orders_2 A E D)))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (and (not (tptp.v1_xboole_0 B)) (tptp.v1_waybel_0 B A)) (forall ((C $$unsorted)) (=> (and (tptp.v1_finset_1 C) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 B))) (exists ((D $$unsorted)) (and (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (tptp.r2_hidden D B) (tptp.r2_lattice3 A C D)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (and (not (tptp.v1_xboole_0 B)) (tptp.v2_waybel_0 B A)) (forall ((C $$unsorted)) (=> (and (tptp.v1_finset_1 C) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 B))) (exists ((D $$unsorted)) (and (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (tptp.r2_hidden D B) (tptp.r1_lattice3 A C D)))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_orders_2 A) (forall ((B $$unsorted)) (=> (tptp.l1_orders_2 B) (=> (= (tptp.g1_orders_2 (tptp.u1_struct_0 A) (tptp.u1_orders_2 A)) (tptp.g1_orders_2 (tptp.u1_struct_0 B) (tptp.u1_orders_2 B))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B))) (=> (and (= C D) (tptp.v1_waybel_0 C A)) (tptp.v1_waybel_0 D B))))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_orders_2 A) (forall ((B $$unsorted)) (=> (tptp.l1_orders_2 B) (=> (= (tptp.g1_orders_2 (tptp.u1_struct_0 A) (tptp.u1_orders_2 A)) (tptp.g1_orders_2 (tptp.u1_struct_0 B) (tptp.u1_orders_2 B))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B))) (=> (and (= C D) (tptp.v2_waybel_0 C A)) (tptp.v2_waybel_0 D B))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k1_struct_0 A B))) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (and (tptp.v1_waybel_0 _let_1 A) (tptp.v2_waybel_0 _let_1 A))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_yellow_0 B A) (= (tptp.v3_waybel_0 B A) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (=> (and (tptp.v2_waybel_0 C B) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 _let_1))) (=> (tptp.r2_yellow_0 A C) (or (= C tptp.k1_xboole_0) (tptp.r2_hidden (tptp.k2_yellow_0 A C) _let_1))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_yellow_0 B A) (= (tptp.v4_waybel_0 B A) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (=> (and (tptp.v1_waybel_0 C B) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 _let_1))) (=> (tptp.r1_yellow_0 A C) (or (= C tptp.k1_xboole_0) (tptp.r2_hidden (tptp.k1_yellow_0 A C) _let_1))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v4_yellow_0 B A) (tptp.v3_waybel_0 B A) (tptp.m1_yellow_0 B A)) (forall ((C $$unsorted)) (=> (and (tptp.v2_waybel_0 C B) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B)))) (=> (tptp.r2_yellow_0 A C) (or (= C tptp.k1_xboole_0) (and (tptp.r2_yellow_0 B C) (= (tptp.k2_yellow_0 B C) (tptp.k2_yellow_0 A C))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v4_yellow_0 B A) (tptp.v4_waybel_0 B A) (tptp.m1_yellow_0 B A)) (forall ((C $$unsorted)) (=> (and (tptp.v1_waybel_0 C B) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B)))) (=> (tptp.r1_yellow_0 A C) (or (= C tptp.k1_xboole_0) (and (tptp.r1_yellow_0 B C) (= (tptp.k1_yellow_0 B C) (tptp.k1_yellow_0 A C))))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_orders_2 A) (forall ((B $$unsorted)) (=> (tptp.l1_orders_2 B) (forall ((C $$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_waybel_0 C A B) (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.r1_orders_2 A D E) (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F (tptp.u1_struct_0 B)) (forall ((G $$unsorted)) (=> (tptp.m1_subset_1 G (tptp.u1_struct_0 B)) (=> (and (= F (tptp.k1_funct_1 C D)) (= G (tptp.k1_funct_1 C E))) (tptp.r1_orders_2 B G F)))))))))))))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_orders_2 A) (= (tptp.v7_waybel_0 A) (tptp.v1_waybel_0 (tptp.k2_pre_topc A) A)))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_struct_0 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.l1_waybel_0 B A)) (= (tptp.k2_waybel_0 A B) (tptp.u1_waybel_0 A B)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_struct_0 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.l1_waybel_0 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 B)) (= (tptp.k3_waybel_0 A B C) (tptp.k1_waybel_0 B A (tptp.u1_waybel_0 A B) C)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.l1_waybel_0 B A)) (= (tptp.v8_waybel_0 B A) (tptp.v5_orders_3 (tptp.k2_waybel_0 A B) B A)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.l1_waybel_0 B A)) (= (tptp.v9_waybel_0 B A) (tptp.v5_waybel_0 (tptp.k2_waybel_0 A B) B A)))))) (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.l1_waybel_0 B A)) (forall ((C $$unsorted)) (= (tptp.r1_waybel_0 A B C) (exists ((D $$unsorted)) (and (tptp.m1_subset_1 D (tptp.u1_struct_0 B)) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.u1_struct_0 B)) (=> (tptp.r1_orders_2 B D E) (tptp.r2_hidden (tptp.k3_waybel_0 A B E) C)))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_struct_0 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.l1_waybel_0 B A)) (forall ((C $$unsorted)) (= (tptp.r2_waybel_0 A B C) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 B)) (exists ((E $$unsorted)) (and (tptp.m1_subset_1 E (tptp.u1_struct_0 B)) (tptp.r1_orders_2 B D E) (tptp.r2_hidden (tptp.k3_waybel_0 A B E) C))))))))))) (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.l1_waybel_0 B A)) (forall ((C $$unsorted) (D $$unsorted)) (=> (tptp.r1_tarski C D) (and (=> (tptp.r1_waybel_0 A B C) (tptp.r1_waybel_0 A B D)) (=> (tptp.r2_waybel_0 A B C) (tptp.r2_waybel_0 A B 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.l1_waybel_0 B A)) (forall ((C $$unsorted)) (= (tptp.r1_waybel_0 A B C) (not (tptp.r2_waybel_0 A B (tptp.k4_xboole_0 (tptp.u1_struct_0 A) C))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_struct_0 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.l1_waybel_0 B A)) (forall ((C $$unsorted)) (= (tptp.r2_waybel_0 A B C) (not (tptp.r1_waybel_0 A B (tptp.k4_xboole_0 (tptp.u1_struct_0 A) C))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.l1_waybel_0 B A)) (= (tptp.v10_waybel_0 B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 B)) (exists ((D $$unsorted)) (and (tptp.m1_subset_1 D (tptp.u1_struct_0 B)) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.u1_struct_0 B)) (=> (tptp.r1_orders_2 B D E) (tptp.r1_orders_2 A (tptp.k3_waybel_0 A B C) (tptp.k3_waybel_0 A B E)))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.l1_waybel_0 B A)) (= (tptp.v11_waybel_0 B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 B)) (exists ((D $$unsorted)) (and (tptp.m1_subset_1 D (tptp.u1_struct_0 B)) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.u1_struct_0 B)) (=> (tptp.r1_orders_2 B D E) (tptp.r1_orders_2 A (tptp.k3_waybel_0 A B E) (tptp.k3_waybel_0 A B C)))))))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_orders_2 A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (= C (tptp.k4_waybel_0 A B)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (= (tptp.r2_hidden D C) (exists ((E $$unsorted)) (and (tptp.m1_subset_1 E (tptp.u1_struct_0 A)) (tptp.r1_orders_2 A D E) (tptp.r2_hidden E B))))))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_orders_2 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.k5_waybel_0 A B)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (= (tptp.r2_hidden D C) (exists ((E $$unsorted)) (and (tptp.m1_subset_1 E (tptp.u1_struct_0 A)) (tptp.r1_orders_2 A E D) (tptp.r2_hidden E B))))))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_orders_2 A) (forall ((B $$unsorted)) (=> (tptp.l1_orders_2 B) (=> (= (tptp.g1_orders_2 (tptp.u1_struct_0 A) (tptp.u1_orders_2 A)) (tptp.g1_orders_2 (tptp.u1_struct_0 B) (tptp.u1_orders_2 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))) (=> (= C D) (and (= (tptp.k4_waybel_0 A C) (tptp.k4_waybel_0 B D)) (= (tptp.k5_waybel_0 A C) (tptp.k5_waybel_0 B D))))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (and (tptp.r1_tarski B (tptp.k4_waybel_0 A B)) (tptp.r1_tarski B (tptp.k5_waybel_0 A B))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (= (tptp.k6_waybel_0 A B) (tptp.k4_waybel_0 A (tptp.k1_struct_0 A B))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (= (tptp.k7_waybel_0 A B) (tptp.k5_waybel_0 A (tptp.k1_struct_0 A B))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (tptp.r2_hidden C (tptp.k6_waybel_0 A B)) (tptp.r1_orders_2 A C B)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 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 C (tptp.k7_waybel_0 A B)) (tptp.r1_orders_2 A B C)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v4_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (=> (= (tptp.k6_waybel_0 A B) (tptp.k6_waybel_0 A C)) (= B C)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v4_orders_2 A) (tptp.l1_orders_2 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_waybel_0 A B) (tptp.k7_waybel_0 A C)) (= B C)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (=> (tptp.r1_orders_2 A B C) (tptp.r1_tarski (tptp.k6_waybel_0 A B) (tptp.k6_waybel_0 A C))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_orders_2 A) (tptp.l1_orders_2 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_orders_2 A B C) (tptp.r1_tarski (tptp.k7_waybel_0 A C) (tptp.k7_waybel_0 A B))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_orders_2 A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (tptp.v12_waybel_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.r1_orders_2 A D C)) (tptp.r2_hidden D B))))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_orders_2 A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (tptp.v13_waybel_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.r1_orders_2 A C D)) (tptp.r2_hidden D B))))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_orders_2 A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (tptp.v12_waybel_0 B A) (tptp.r1_tarski (tptp.k4_waybel_0 A B) B)))))) (forall ((A $$unsorted)) (=> (tptp.l1_orders_2 A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (tptp.v13_waybel_0 B A) (tptp.r1_tarski (tptp.k5_waybel_0 A B) B)))))) (forall ((A $$unsorted)) (=> (tptp.l1_orders_2 A) (forall ((B $$unsorted)) (=> (tptp.l1_orders_2 B) (=> (= (tptp.g1_orders_2 (tptp.u1_struct_0 A) (tptp.u1_orders_2 A)) (tptp.g1_orders_2 (tptp.u1_struct_0 B) (tptp.u1_orders_2 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))) (=> (= C D) (and (=> (tptp.v12_waybel_0 C A) (tptp.v12_waybel_0 D B)) (=> (tptp.v13_waybel_0 C A) (tptp.v13_waybel_0 D B))))))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_orders_2 A) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.k1_zfmisc_1 _let_1))) (let ((_let_3 (tptp.k5_setfam_1 _let_1 B))) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 _let_2)) (=> (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (tptp.r2_hidden C B) (tptp.v12_waybel_0 C A)))) (and (tptp.v12_waybel_0 _let_3 A) (tptp.m1_subset_1 _let_3 _let_2)))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_orders_2 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.v12_waybel_0 B A) (tptp.v12_waybel_0 C A)) (and (tptp.v12_waybel_0 (tptp.k5_subset_1 _let_1 B C) A) (tptp.v12_waybel_0 (tptp.k4_subset_1 _let_1 B C) A)))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_orders_2 A) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.k1_zfmisc_1 _let_1))) (let ((_let_3 (tptp.k5_setfam_1 _let_1 B))) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 _let_2)) (=> (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (tptp.r2_hidden C B) (tptp.v13_waybel_0 C A)))) (and (tptp.v13_waybel_0 _let_3 A) (tptp.m1_subset_1 _let_3 _let_2)))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_orders_2 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.v13_waybel_0 B A) (tptp.v13_waybel_0 C A)) (and (tptp.v13_waybel_0 (tptp.k5_subset_1 _let_1 B C) A) (tptp.v13_waybel_0 (tptp.k4_subset_1 _let_1 B C) A)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (tptp.v1_waybel_0 B A) (tptp.v1_waybel_0 (tptp.k4_waybel_0 A B) A)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (tptp.r2_lattice3 A B C) (tptp.r2_lattice3 A (tptp.k4_waybel_0 A B) C)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (tptp.r1_yellow_0 A B) (tptp.r1_yellow_0 A (tptp.k4_waybel_0 A B))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (tptp.r1_yellow_0 A B) (= (tptp.k1_yellow_0 A B) (tptp.k1_yellow_0 A (tptp.k4_waybel_0 A B)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k6_waybel_0 A B))) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (and (tptp.r1_yellow_0 A _let_1) (= (tptp.k1_yellow_0 A _let_1) B))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (tptp.v2_waybel_0 B A) (tptp.v2_waybel_0 (tptp.k5_waybel_0 A B) A)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.l1_orders_2 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.r1_lattice3 A B C) (tptp.r1_lattice3 A (tptp.k5_waybel_0 A B) C)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (tptp.r2_yellow_0 A B) (tptp.r2_yellow_0 A (tptp.k5_waybel_0 A B))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (tptp.r2_yellow_0 A B) (= (tptp.k2_yellow_0 A B) (tptp.k2_yellow_0 A (tptp.k5_waybel_0 A B)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k7_waybel_0 A B))) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (and (tptp.r2_yellow_0 A _let_1) (= (tptp.k2_yellow_0 A _let_1) B))))))) (forall ((A $$unsorted)) (=> (and (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (tptp.v12_waybel_0 B A) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (= (tptp.v1_waybel_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.k13_lattice3 A C D) B))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v4_orders_2 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (tptp.v13_waybel_0 B A) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (= (tptp.v2_waybel_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.k12_lattice3 A C D) B))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.v12_waybel_0 B A) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (= (tptp.v1_waybel_0 B A) (forall ((C $$unsorted)) (=> (and (tptp.v1_finset_1 C) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 B))) (=> (not (= C tptp.k1_xboole_0)) (tptp.r2_hidden (tptp.k1_yellow_0 A C) B))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.v13_waybel_0 B A) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (= (tptp.v2_waybel_0 B A) (forall ((C $$unsorted)) (=> (and (tptp.v1_finset_1 C) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 B))) (=> (not (= C tptp.k1_xboole_0)) (tptp.r2_hidden (tptp.k2_yellow_0 A C) B))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_orders_2 A) (tptp.l1_orders_2 A)) (=> (or (tptp.v1_lattice3 A) (tptp.v2_lattice3 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 _let_1)) (=> (and (tptp.v12_waybel_0 B A) (tptp.v1_waybel_0 B A) (tptp.v12_waybel_0 C A) (tptp.v1_waybel_0 C A)) (tptp.v1_waybel_0 (tptp.k5_subset_1 _let_1 B C) A)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_orders_2 A) (tptp.l1_orders_2 A)) (=> (or (tptp.v1_lattice3 A) (tptp.v2_lattice3 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.v13_waybel_0 B A) (tptp.v2_waybel_0 B A) (tptp.v13_waybel_0 C A) (tptp.v2_waybel_0 C A)) (tptp.v2_waybel_0 (tptp.k5_subset_1 _let_1 B C) A)))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_orders_2 A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (=> (and (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (tptp.r2_hidden C B) (tptp.v1_waybel_0 C A)))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (not (and (tptp.r2_hidden C B) (tptp.r2_hidden D B) (forall ((E $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 E (tptp.k1_zfmisc_1 _let_1)) (not (and (tptp.r2_hidden E B) (tptp.r1_tarski (tptp.k4_subset_1 _let_1 C D) E))))))))))))) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 _let_1)) (=> (= C (tptp.k5_setfam_1 _let_1 B)) (tptp.v1_waybel_0 C A)))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_orders_2 A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (=> (and (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (tptp.r2_hidden C B) (tptp.v2_waybel_0 C 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 A))) (not (and (tptp.r2_hidden C B) (tptp.r2_hidden D B) (forall ((E $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 E (tptp.k1_zfmisc_1 _let_1)) (not (and (tptp.r2_hidden E B) (tptp.r1_tarski (tptp.k4_subset_1 _let_1 C D) E))))))))))))) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 _let_1)) (=> (= C (tptp.k5_setfam_1 _let_1 B)) (tptp.v2_waybel_0 C A)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.v1_waybel_0 B A) (tptp.v12_waybel_0 B A) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (= (tptp.v14_waybel_0 B A) (exists ((C $$unsorted)) (and (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (tptp.r2_hidden C B) (tptp.r2_lattice3 A B C)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.v2_waybel_0 B A) (tptp.v13_waybel_0 B A) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (= (tptp.v15_waybel_0 B A) (exists ((C $$unsorted)) (and (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (tptp.r2_hidden C B) (tptp.r1_lattice3 A B C)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.v1_waybel_0 B A) (tptp.v12_waybel_0 B A) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (= (tptp.v14_waybel_0 B A) (exists ((C $$unsorted)) (and (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= B (tptp.k6_waybel_0 A C))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.v2_waybel_0 B A) (tptp.v13_waybel_0 B A) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (= (tptp.v15_waybel_0 B A) (exists ((C $$unsorted)) (and (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= B (tptp.k7_waybel_0 A C))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.l1_orders_2 A)) (= (tptp.k10_waybel_0 A) (tptp.k2_xboole_0 (tptp.k8_waybel_0 A) (tptp.k1_tarski tptp.k1_xboole_0))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.l1_orders_2 A)) (= (tptp.k11_waybel_0 A) (tptp.k2_xboole_0 (tptp.k9_waybel_0 A) (tptp.k1_tarski tptp.k1_xboole_0))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v4_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (and (tptp.r1_tarski B (tptp.k12_waybel_0 A B)) (tptp.r1_tarski B (tptp.k13_waybel_0 A B))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (and (forall ((D $$unsorted)) (=> (and (tptp.v1_finset_1 D) (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 B))) (=> (not (= D tptp.k1_xboole_0)) (tptp.r1_yellow_0 A D)))) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (not (and (tptp.r2_hidden D C) (forall ((E $$unsorted)) (=> (and (tptp.v1_finset_1 E) (tptp.m1_subset_1 E (tptp.k1_zfmisc_1 B))) (not (and (tptp.r1_yellow_0 A E) (= D (tptp.k1_yellow_0 A E)))))))))) (forall ((D $$unsorted)) (=> (and (tptp.v1_finset_1 D) (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 B))) (=> (not (= D tptp.k1_xboole_0)) (tptp.r2_hidden (tptp.k1_yellow_0 A D) C))))) (tptp.v1_waybel_0 C A)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.l1_orders_2 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 (forall ((D $$unsorted)) (=> (and (tptp.v1_finset_1 D) (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 B))) (=> (not (= D tptp.k1_xboole_0)) (tptp.r1_yellow_0 A D)))) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (not (and (tptp.r2_hidden D C) (forall ((E $$unsorted)) (=> (and (tptp.v1_finset_1 E) (tptp.m1_subset_1 E (tptp.k1_zfmisc_1 B))) (not (and (tptp.r1_yellow_0 A E) (= D (tptp.k1_yellow_0 A E)))))))))) (forall ((D $$unsorted)) (=> (and (tptp.v1_finset_1 D) (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 B))) (=> (not (= D tptp.k1_xboole_0)) (tptp.r2_hidden (tptp.k1_yellow_0 A D) C))))) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (= (tptp.r2_lattice3 A B D) (tptp.r2_lattice3 A C D))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.l1_orders_2 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 (forall ((D $$unsorted)) (=> (and (tptp.v1_finset_1 D) (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 B))) (=> (not (= D tptp.k1_xboole_0)) (tptp.r1_yellow_0 A D)))) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (not (and (tptp.r2_hidden D C) (forall ((E $$unsorted)) (=> (and (tptp.v1_finset_1 E) (tptp.m1_subset_1 E (tptp.k1_zfmisc_1 B))) (not (and (tptp.r1_yellow_0 A E) (= D (tptp.k1_yellow_0 A E)))))))))) (forall ((D $$unsorted)) (=> (and (tptp.v1_finset_1 D) (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 B))) (=> (not (= D tptp.k1_xboole_0)) (tptp.r2_hidden (tptp.k1_yellow_0 A D) C))))) (= (tptp.r1_yellow_0 A B) (tptp.r1_yellow_0 A C))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (and (forall ((D $$unsorted)) (=> (and (tptp.v1_finset_1 D) (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 B))) (=> (not (= D tptp.k1_xboole_0)) (tptp.r1_yellow_0 A D)))) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (not (and (tptp.r2_hidden D C) (forall ((E $$unsorted)) (=> (and (tptp.v1_finset_1 E) (tptp.m1_subset_1 E (tptp.k1_zfmisc_1 B))) (not (and (tptp.r1_yellow_0 A E) (= D (tptp.k1_yellow_0 A E)))))))))) (forall ((D $$unsorted)) (=> (and (tptp.v1_finset_1 D) (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 B))) (=> (not (= D tptp.k1_xboole_0)) (tptp.r2_hidden (tptp.k1_yellow_0 A D) C)))) (tptp.r1_yellow_0 A B)) (= (tptp.k1_yellow_0 A C) (tptp.k1_yellow_0 A B))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (or (tptp.r1_yellow_0 A B) (tptp.v3_lattice3 A)) (= (tptp.k1_yellow_0 A B) (tptp.k1_yellow_0 A (tptp.k12_waybel_0 A B)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_orders_2 A) (tptp.l1_orders_2 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 (forall ((D $$unsorted)) (=> (and (tptp.v1_finset_1 D) (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 B))) (=> (not (= D tptp.k1_xboole_0)) (tptp.r2_yellow_0 A D)))) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (not (and (tptp.r2_hidden D C) (forall ((E $$unsorted)) (=> (and (tptp.v1_finset_1 E) (tptp.m1_subset_1 E (tptp.k1_zfmisc_1 B))) (not (and (tptp.r2_yellow_0 A E) (= D (tptp.k2_yellow_0 A E)))))))))) (forall ((D $$unsorted)) (=> (and (tptp.v1_finset_1 D) (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 B))) (=> (not (= D tptp.k1_xboole_0)) (tptp.r2_hidden (tptp.k2_yellow_0 A D) C))))) (tptp.v2_waybel_0 C A)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (and (forall ((D $$unsorted)) (=> (and (tptp.v1_finset_1 D) (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 B))) (=> (not (= D tptp.k1_xboole_0)) (tptp.r2_yellow_0 A D)))) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (not (and (tptp.r2_hidden D C) (forall ((E $$unsorted)) (=> (and (tptp.v1_finset_1 E) (tptp.m1_subset_1 E (tptp.k1_zfmisc_1 B))) (not (and (tptp.r2_yellow_0 A E) (= D (tptp.k2_yellow_0 A E)))))))))) (forall ((D $$unsorted)) (=> (and (tptp.v1_finset_1 D) (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 B))) (=> (not (= D tptp.k1_xboole_0)) (tptp.r2_hidden (tptp.k2_yellow_0 A D) C))))) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (= (tptp.r1_lattice3 A B D) (tptp.r1_lattice3 A C D))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (and (forall ((D $$unsorted)) (=> (and (tptp.v1_finset_1 D) (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 B))) (=> (not (= D tptp.k1_xboole_0)) (tptp.r2_yellow_0 A D)))) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (not (and (tptp.r2_hidden D C) (forall ((E $$unsorted)) (=> (and (tptp.v1_finset_1 E) (tptp.m1_subset_1 E (tptp.k1_zfmisc_1 B))) (not (and (tptp.r2_yellow_0 A E) (= D (tptp.k2_yellow_0 A E)))))))))) (forall ((D $$unsorted)) (=> (and (tptp.v1_finset_1 D) (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 B))) (=> (not (= D tptp.k1_xboole_0)) (tptp.r2_hidden (tptp.k2_yellow_0 A D) C))))) (= (tptp.r2_yellow_0 A B) (tptp.r2_yellow_0 A C))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.l1_orders_2 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 (forall ((D $$unsorted)) (=> (and (tptp.v1_finset_1 D) (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 B))) (=> (not (= D tptp.k1_xboole_0)) (tptp.r2_yellow_0 A D)))) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (not (and (tptp.r2_hidden D C) (forall ((E $$unsorted)) (=> (and (tptp.v1_finset_1 E) (tptp.m1_subset_1 E (tptp.k1_zfmisc_1 B))) (not (and (tptp.r2_yellow_0 A E) (= D (tptp.k2_yellow_0 A E)))))))))) (forall ((D $$unsorted)) (=> (and (tptp.v1_finset_1 D) (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 B))) (=> (not (= D tptp.k1_xboole_0)) (tptp.r2_hidden (tptp.k2_yellow_0 A D) C)))) (tptp.r2_yellow_0 A B)) (= (tptp.k2_yellow_0 A C) (tptp.k2_yellow_0 A B))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (or (tptp.r2_yellow_0 A B) (tptp.v3_lattice3 A)) (= (tptp.k2_yellow_0 A B) (tptp.k2_yellow_0 A (tptp.k13_waybel_0 A B)))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (and (tptp.r1_tarski B (tptp.k4_waybel_0 A (tptp.k12_waybel_0 A B))) (forall ((C $$unsorted)) (=> (and (not (tptp.v1_xboole_0 C)) (tptp.v1_waybel_0 C A) (tptp.v12_waybel_0 C A) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (=> (tptp.r1_tarski B C) (tptp.r1_tarski (tptp.k4_waybel_0 A (tptp.k12_waybel_0 A B)) C))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (and (tptp.r1_tarski B (tptp.k5_waybel_0 A (tptp.k13_waybel_0 A B))) (forall ((C $$unsorted)) (=> (and (not (tptp.v1_xboole_0 C)) (tptp.v2_waybel_0 C A) (tptp.v13_waybel_0 C A) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (=> (tptp.r1_tarski B C) (tptp.r1_tarski (tptp.k5_waybel_0 A (tptp.k13_waybel_0 A B)) C))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (= (tptp.v16_waybel_0 A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (or (tptp.r1_orders_2 A B C) (tptp.r1_orders_2 A C B))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))))) (let ((_let_2 (tptp.v13_waybel_0 B A))) (let ((_let_3 (not (tptp.v1_xboole_0 B)))) (=> (and _let_3 _let_2 _let_1) (= (and _let_3 (tptp.v2_waybel_0 B A) _let_2 _let_1) (tptp.v5_yellow_0 (tptp.k5_yellow_0 A B) A))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))))) (let ((_let_2 (tptp.v12_waybel_0 B A))) (let ((_let_3 (not (tptp.v1_xboole_0 B)))) (=> (and _let_3 _let_2 _let_1) (= (and _let_3 (tptp.v1_waybel_0 B A) _let_2 _let_1) (tptp.v6_yellow_0 (tptp.k5_yellow_0 A B) A))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.l1_orders_2 B)) (forall ((C $$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)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k4_pre_topc A B C D))) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (tptp.r3_waybel_0 A B C D) (=> (tptp.r2_yellow_0 A D) (and (tptp.r2_yellow_0 B _let_1) (= (tptp.k2_yellow_0 B _let_1) (tptp.k1_waybel_0 A B C (tptp.k2_yellow_0 A D))))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.l1_orders_2 B)) (forall ((C $$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)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k4_pre_topc A B C D))) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (tptp.r4_waybel_0 A B C D) (=> (tptp.r1_yellow_0 A D) (and (tptp.r1_yellow_0 B _let_1) (= (tptp.k1_yellow_0 B _let_1) (tptp.k1_waybel_0 A B C (tptp.k1_yellow_0 A D))))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.l1_orders_2 B)) (forall ((C $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.l1_orders_2 C)) (forall ((D $$unsorted)) (=> (and (not (tptp.v3_struct_0 D)) (tptp.l1_orders_2 D)) (=> (and (= (tptp.g1_orders_2 (tptp.u1_struct_0 A) (tptp.u1_orders_2 A)) (tptp.g1_orders_2 (tptp.u1_struct_0 C) (tptp.u1_orders_2 C))) (= (tptp.g1_orders_2 (tptp.u1_struct_0 B) (tptp.u1_orders_2 B)) (tptp.g1_orders_2 (tptp.u1_struct_0 D) (tptp.u1_orders_2 D)))) (forall ((E $$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.m2_relset_1 E _let_2 _let_1)) (forall ((F $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 D))) (let ((_let_2 (tptp.u1_struct_0 C))) (=> (and (tptp.v1_funct_1 F) (tptp.v1_funct_2 F _let_2 _let_1) (tptp.m2_relset_1 F _let_2 _let_1)) (=> (= E F) (forall ((G $$unsorted)) (=> (tptp.m1_subset_1 G (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((H $$unsorted)) (=> (tptp.m1_subset_1 H (tptp.k1_zfmisc_1 (tptp.u1_struct_0 C))) (=> (= G H) (and (=> (tptp.r4_waybel_0 A B E G) (tptp.r4_waybel_0 C D F H)) (=> (tptp.r3_waybel_0 A B E G) (tptp.r3_waybel_0 C D F H)))))))))))))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.l1_orders_2 B)) (forall ((C $$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.v17_waybel_0 C A B) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (tptp.r3_waybel_0 A B C D)))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.l1_orders_2 B)) (forall ((C $$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.v18_waybel_0 C A B) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (tptp.r4_waybel_0 A B C D)))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.l1_orders_2 B)) (forall ((C $$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.v19_waybel_0 C A B) (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.r3_waybel_0 A B C (tptp.k2_struct_0 A D E))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.l1_orders_2 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.m2_relset_1 C _let_2 _let_1)) (= (tptp.v20_waybel_0 C A B) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.u1_struct_0 A)) (tptp.r4_waybel_0 A B C (tptp.k2_struct_0 A D E))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.l1_orders_2 B)) (forall ((C $$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.v21_waybel_0 C A B) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (tptp.v2_waybel_0 D A) (or (tptp.v1_xboole_0 D) (tptp.r3_waybel_0 A B C D)))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.l1_orders_2 B)) (forall ((C $$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.v22_waybel_0 C A B) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (tptp.v1_waybel_0 D A) (or (tptp.v1_xboole_0 D) (tptp.r4_waybel_0 A B C D)))))))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_orders_2 A) (forall ((B $$unsorted)) (=> (tptp.l1_orders_2 B) (forall ((C $$unsorted)) (let ((_let_1 (tptp.v3_struct_0 B))) (let ((_let_2 (tptp.v3_struct_0 A))) (let ((_let_3 (tptp.v23_waybel_0 C A B))) (let ((_let_4 (not _let_1))) (let ((_let_5 (not _let_2))) (let ((_let_6 (tptp.u1_struct_0 B))) (let ((_let_7 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_7 _let_6) (tptp.m2_relset_1 C _let_7 _let_6)) (and (not (and _let_5 _let_4 (not (= _let_3 (and (tptp.v2_funct_1 C) (tptp.v5_orders_3 C A B) (exists ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.u1_struct_0 B))) (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D _let_2 _let_1) (tptp.m2_relset_1 D _let_2 _let_1) (= D (tptp.k2_funct_1 C)) (tptp.v5_orders_3 D B A)))))))))) (=> (not (and _let_5 _let_4)) (= _let_3 (and _let_2 _let_1))))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.l1_orders_2 B)) (forall ((C $$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.v23_waybel_0 C A B) (and (tptp.v2_funct_1 C) (= (tptp.k2_relat_1 C) _let_1) (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.r1_orders_2 A D E) (tptp.r1_orders_2 B (tptp.k1_waybel_0 A B C D) (tptp.k1_waybel_0 A B C E))))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.l1_orders_2 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.k2_funct_1 C))) (let ((_let_3 (tptp.u1_struct_0 B))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_1 _let_3) (tptp.m2_relset_1 C _let_1 _let_3)) (=> (tptp.v23_waybel_0 C A B) (and (tptp.v1_funct_1 _let_2) (tptp.v1_funct_2 _let_2 _let_3 _let_1) (tptp.m2_relset_1 _let_2 _let_3 _let_1) (= (tptp.k2_relat_1 _let_2) _let_1)))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.l1_orders_2 B)) (forall ((C $$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.v23_waybel_0 C A B) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.u1_struct_0 B))) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D _let_2 _let_1) (tptp.m2_relset_1 D _let_2 _let_1)) (=> (= D (tptp.k2_funct_1 C)) (tptp.v23_waybel_0 D B A))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.l1_orders_2 B)) (forall ((C $$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)) (=> (forall ((D $$unsorted)) (=> (and (not (tptp.v1_xboole_0 D)) (tptp.v2_waybel_0 D A) (tptp.v13_waybel_0 D A) (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (tptp.r3_waybel_0 A B C D))) (tptp.v5_orders_3 C A B)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.l1_orders_2 B)) (forall ((C $$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)) (=> (forall ((D $$unsorted)) (=> (and (not (tptp.v1_xboole_0 D)) (tptp.v2_waybel_0 D A) (tptp.v13_waybel_0 D A) (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (tptp.r3_waybel_0 A B C D))) (tptp.v21_waybel_0 C A B)))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.l1_orders_2 B)) (forall ((C $$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 (forall ((D $$unsorted)) (=> (and (tptp.v1_finset_1 D) (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (tptp.r3_waybel_0 A B C D))) (forall ((D $$unsorted)) (=> (and (not (tptp.v1_xboole_0 D)) (tptp.v2_waybel_0 D A) (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (tptp.r3_waybel_0 A B C D)))) (tptp.v17_waybel_0 C A B)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.l1_orders_2 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.m2_relset_1 C _let_2 _let_1)) (=> (forall ((D $$unsorted)) (=> (and (not (tptp.v1_xboole_0 D)) (tptp.v1_waybel_0 D A) (tptp.v12_waybel_0 D A) (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (tptp.r4_waybel_0 A B C D))) (tptp.v5_orders_3 C A B)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.l1_orders_2 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.m2_relset_1 C _let_2 _let_1)) (=> (forall ((D $$unsorted)) (=> (and (not (tptp.v1_xboole_0 D)) (tptp.v1_waybel_0 D A) (tptp.v12_waybel_0 D A) (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (tptp.r4_waybel_0 A B C D))) (tptp.v22_waybel_0 C A B)))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.l1_orders_2 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.m2_relset_1 C _let_2 _let_1)) (=> (and (forall ((D $$unsorted)) (=> (and (tptp.v1_finset_1 D) (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (tptp.r4_waybel_0 A B C D))) (forall ((D $$unsorted)) (=> (and (not (tptp.v1_xboole_0 D)) (tptp.v1_waybel_0 D A) (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (tptp.r4_waybel_0 A B C D)))) (tptp.v18_waybel_0 C A B)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.l1_orders_2 A)) (= (tptp.v24_waybel_0 A) (forall ((B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.v1_waybel_0 B A) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (exists ((C $$unsorted)) (and (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (tptp.r2_lattice3 A B C) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (=> (tptp.r2_lattice3 A B D) (tptp.r3_orders_2 A C D))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v4_orders_2 A) (tptp.l1_orders_2 A)) (= (tptp.v24_waybel_0 A) (forall ((B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.v1_waybel_0 B A) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (tptp.r1_yellow_0 A B)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.l1_orders_2 A)) (= (tptp.v25_waybel_0 A) (forall ((B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (exists ((C $$unsorted)) (and (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (tptp.r1_lattice3 A B C) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (=> (tptp.r1_lattice3 A B D) (tptp.r1_orders_2 A D C))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v4_orders_2 A) (tptp.l1_orders_2 A)) (= (tptp.v25_waybel_0 A) (forall ((B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (tptp.r2_yellow_0 A B)))))) (forall ((A $$unsorted)) (=> (tptp.l1_struct_0 A) (forall ((B $$unsorted)) (=> (tptp.l1_waybel_0 B A) (tptp.l1_orders_2 B))))) (forall ((A $$unsorted)) (=> (tptp.l1_struct_0 A) (exists ((B $$unsorted)) (tptp.l1_waybel_0 B A)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.l1_struct_0 A) (tptp.l1_waybel_0 B A)) (=> (tptp.v6_waybel_0 B A) (= B (tptp.g1_waybel_0 A (tptp.u1_struct_0 B) (tptp.u1_orders_2 B) (tptp.u1_waybel_0 A B)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_struct_0 A) (not (tptp.v3_struct_0 B)) (tptp.l1_struct_0 B) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.m1_relset_1 C _let_2 _let_1) (tptp.m1_subset_1 D _let_2)) (tptp.m1_subset_1 (tptp.k1_waybel_0 A B C D) _let_1))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.u1_struct_0 B))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_struct_0 A) (not (tptp.v3_struct_0 B)) (tptp.l1_struct_0 B) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_1 _let_2) (tptp.m1_relset_1 C _let_1 _let_2) (tptp.m1_subset_1 D _let_1)) (= (tptp.k1_waybel_0 A B C D) (tptp.k1_funct_1 C D)))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.u1_struct_0 B))) (let ((_let_3 (tptp.k2_waybel_0 A B))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_struct_0 A) (not (tptp.v3_struct_0 B)) (tptp.l1_waybel_0 B A)) (and (tptp.v1_funct_1 _let_3) (tptp.v1_funct_2 _let_3 _let_2 _let_1) (tptp.m2_relset_1 _let_3 _let_2 _let_1))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_struct_0 A) (not (tptp.v3_struct_0 B)) (tptp.l1_waybel_0 B A) (tptp.m1_subset_1 C (tptp.u1_struct_0 B))) (tptp.m1_subset_1 (tptp.k3_waybel_0 A B C) (tptp.u1_struct_0 A)))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (=> (and (tptp.l1_orders_2 A) (tptp.m1_subset_1 B _let_1)) (tptp.m1_subset_1 (tptp.k4_waybel_0 A B) _let_1)))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (=> (and (tptp.l1_orders_2 A) (tptp.m1_subset_1 B _let_1)) (tptp.m1_subset_1 (tptp.k5_waybel_0 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.l1_orders_2 A) (tptp.m1_subset_1 B _let_1)) (tptp.m1_subset_1 (tptp.k6_waybel_0 A B) (tptp.k1_zfmisc_1 _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A) (tptp.m1_subset_1 B _let_1)) (tptp.m1_subset_1 (tptp.k7_waybel_0 A B) (tptp.k1_zfmisc_1 _let_1))))) true true true true (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.l1_orders_2 A) (tptp.m1_subset_1 B _let_1)) (tptp.m1_subset_1 (tptp.k12_waybel_0 A B) _let_1)))) (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.l1_orders_2 A) (tptp.m1_subset_1 B _let_1)) (tptp.m1_subset_1 (tptp.k13_waybel_0 A B) _let_1)))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.u1_struct_0 B))) (let ((_let_3 (tptp.u1_waybel_0 A B))) (=> (and (tptp.l1_struct_0 A) (tptp.l1_waybel_0 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 $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.g1_waybel_0 A B C D))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (tptp.l1_struct_0 A) (tptp.m1_relset_1 C B B) (tptp.v1_funct_1 D) (tptp.v1_funct_2 D B _let_2) (tptp.m1_relset_1 D B _let_2)) (and (tptp.v6_waybel_0 _let_1 A) (tptp.l1_waybel_0 _let_1 A)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (tptp.l1_struct_0 A) (tptp.m1_relset_1 C B B) (tptp.v1_funct_1 D) (tptp.v1_funct_2 D B _let_1) (tptp.m1_relset_1 D B _let_1)) (forall ((E $$unsorted) (F $$unsorted) (G $$unsorted) (H $$unsorted)) (=> (= (tptp.g1_waybel_0 A B C D) (tptp.g1_waybel_0 E F G H)) (and (= A E) (= B F) (= C G) (= D H))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.l1_waybel_0 B A)) (= (tptp.v10_waybel_0 B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 B)) (tptp.r1_waybel_0 A B (tptp.a_3_0_waybel_0 A B C))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.l1_waybel_0 B A)) (= (tptp.v11_waybel_0 B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 B)) (tptp.r1_waybel_0 A B (tptp.a_3_1_waybel_0 A B C))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (tptp.k4_waybel_0 A B) (tptp.a_2_0_waybel_0 A B)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (tptp.k5_waybel_0 A B) (tptp.a_2_1_waybel_0 A B)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.l1_orders_2 A)) (= (tptp.k8_waybel_0 A) (tptp.a_1_0_waybel_0 A)))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.l1_orders_2 A)) (= (tptp.k9_waybel_0 A) (tptp.a_1_1_waybel_0 A)))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (tptp.k12_waybel_0 A B) (tptp.a_2_2_waybel_0 A B)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (tptp.k13_waybel_0 A B) (tptp.a_2_3_waybel_0 A B)))))) (= (tptp.r1_waybel_0 tptp.f1_s1_waybel_0 tptp.f2_s1_waybel_0 tptp.a_0_0_waybel_0) (exists ((A $$unsorted)) (and (tptp.m1_subset_1 A (tptp.u1_struct_0 tptp.f2_s1_waybel_0)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 tptp.f2_s1_waybel_0)) (=> (tptp.r1_orders_2 tptp.f2_s1_waybel_0 A B) (tptp.p1_s1_waybel_0 (tptp.k3_waybel_0 tptp.f1_s1_waybel_0 tptp.f2_s1_waybel_0 B)))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.l1_orders_2 B) (not (tptp.v3_struct_0 C)) (tptp.l1_waybel_0 C B) (tptp.m1_subset_1 D (tptp.u1_struct_0 C))) (= (tptp.r2_hidden A (tptp.a_3_0_waybel_0 B C D)) (exists ((E $$unsorted)) (let ((_let_1 (tptp.k3_waybel_0 B C E))) (and (tptp.m1_subset_1 E (tptp.u1_struct_0 C)) (= A _let_1) (tptp.r1_orders_2 B (tptp.k3_waybel_0 B C D) _let_1))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.l1_orders_2 B) (not (tptp.v3_struct_0 C)) (tptp.l1_waybel_0 C B) (tptp.m1_subset_1 D (tptp.u1_struct_0 C))) (= (tptp.r2_hidden A (tptp.a_3_1_waybel_0 B C D)) (exists ((E $$unsorted)) (let ((_let_1 (tptp.k3_waybel_0 B C E))) (and (tptp.m1_subset_1 E (tptp.u1_struct_0 C)) (= A _let_1) (tptp.r1_orders_2 B _let_1 (tptp.k3_waybel_0 B C D)))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.l1_orders_2 B) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B)))) (= (tptp.r2_hidden A (tptp.a_2_0_waybel_0 B C)) (exists ((D $$unsorted)) (and (tptp.m1_subset_1 D (tptp.u1_struct_0 B)) (= A D) (exists ((E $$unsorted)) (and (tptp.m1_subset_1 E (tptp.u1_struct_0 B)) (tptp.r1_orders_2 B D E) (tptp.r2_hidden E C)))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.l1_orders_2 B) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B)))) (= (tptp.r2_hidden A (tptp.a_2_1_waybel_0 B C)) (exists ((D $$unsorted)) (and (tptp.m1_subset_1 D (tptp.u1_struct_0 B)) (= A D) (exists ((E $$unsorted)) (and (tptp.m1_subset_1 E (tptp.u1_struct_0 B)) (tptp.r1_orders_2 B E D) (tptp.r2_hidden E C)))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.l1_orders_2 B)) (= (tptp.r2_hidden A (tptp.a_1_0_waybel_0 B)) (exists ((C $$unsorted)) (and (not (tptp.v1_xboole_0 C)) (tptp.v1_waybel_0 C B) (tptp.v12_waybel_0 C B) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B))) (= A C)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.l1_orders_2 B)) (= (tptp.r2_hidden A (tptp.a_1_1_waybel_0 B)) (exists ((C $$unsorted)) (and (not (tptp.v1_xboole_0 C)) (tptp.v2_waybel_0 C B) (tptp.v13_waybel_0 C B) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B))) (= A C)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.l1_orders_2 B) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B)))) (= (tptp.r2_hidden A (tptp.a_2_2_waybel_0 B C)) (exists ((D $$unsorted)) (and (tptp.v1_finset_1 D) (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 C)) (= A (tptp.k1_yellow_0 B D)) (tptp.r1_yellow_0 B D)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.l1_orders_2 B) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B)))) (= (tptp.r2_hidden A (tptp.a_2_3_waybel_0 B C)) (exists ((D $$unsorted)) (and (tptp.v1_finset_1 D) (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 C)) (= A (tptp.k2_yellow_0 B D)) (tptp.r2_yellow_0 B D)))))) (forall ((A $$unsorted)) (= (tptp.r2_hidden A tptp.a_0_0_waybel_0) (exists ((B $$unsorted)) (let ((_let_1 (tptp.k3_waybel_0 tptp.f1_s1_waybel_0 tptp.f2_s1_waybel_0 B))) (and (tptp.m1_subset_1 B (tptp.u1_struct_0 tptp.f2_s1_waybel_0)) (= A _let_1) (tptp.p1_s1_waybel_0 _let_1)))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k3_lattice3 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v1_orders_2 _let_1) (tptp.v2_orders_2 _let_1) (tptp.v3_orders_2 _let_1) (tptp.v4_orders_2 _let_1) (tptp.v1_lattice3 _let_1) (tptp.v2_lattice3 _let_1))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k3_lattice3 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v14_lattices A) (tptp.l3_lattices A)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v1_orders_2 _let_1) (tptp.v2_orders_2 _let_1) (tptp.v3_orders_2 _let_1) (tptp.v4_orders_2 _let_1) (tptp.v2_yellow_0 _let_1) (tptp.v1_lattice3 _let_1) (tptp.v2_lattice3 _let_1))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k3_lattice3 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v13_lattices A) (tptp.l3_lattices A)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v1_orders_2 _let_1) (tptp.v2_orders_2 _let_1) (tptp.v3_orders_2 _let_1) (tptp.v4_orders_2 _let_1) (tptp.v1_yellow_0 _let_1) (tptp.v1_lattice3 _let_1) (tptp.v2_lattice3 _let_1))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k3_lattice3 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v4_lattice3 A) (tptp.l3_lattices A)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v1_orders_2 _let_1) (tptp.v2_orders_2 _let_1) (tptp.v3_orders_2 _let_1) (tptp.v4_orders_2 _let_1) (tptp.v1_yellow_0 _let_1) (tptp.v2_yellow_0 _let_1) (tptp.v3_yellow_0 _let_1) (tptp.v1_lattice3 _let_1) (tptp.v2_lattice3 _let_1) (tptp.v3_lattice3 _let_1))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k2_yellow_1 A))) (and (tptp.v1_orders_2 _let_1) (tptp.v2_orders_2 _let_1) (tptp.v3_orders_2 _let_1) (tptp.v4_orders_2 _let_1)))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k2_yellow_1 A))) (=> (not (tptp.v1_xboole_0 A)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v1_orders_2 _let_1) (tptp.v2_orders_2 _let_1) (tptp.v3_orders_2 _let_1) (tptp.v4_orders_2 _let_1))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k3_yellow_1 A))) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v1_orders_2 _let_1) (tptp.v2_orders_2 _let_1) (tptp.v3_orders_2 _let_1) (tptp.v4_orders_2 _let_1)))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k3_yellow_1 A))) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v1_orders_2 _let_1) (tptp.v2_orders_2 _let_1) (tptp.v3_orders_2 _let_1) (tptp.v4_orders_2 _let_1) (tptp.v1_yellow_0 _let_1) (tptp.v2_yellow_0 _let_1) (tptp.v3_yellow_0 _let_1) (tptp.v1_lattice3 _let_1) (tptp.v2_lattice3 _let_1) (tptp.v3_lattice3 _let_1)))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k2_yellow_1 (tptp.u1_pre_topc A)))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v1_orders_2 _let_1) (tptp.v2_orders_2 _let_1) (tptp.v3_orders_2 _let_1) (tptp.v4_orders_2 _let_1) (tptp.v1_yellow_0 _let_1) (tptp.v2_yellow_0 _let_1) (tptp.v3_yellow_0 _let_1) (tptp.v1_lattice3 _let_1) (tptp.v2_lattice3 _let_1) (tptp.v3_lattice3 _let_1) (not (tptp.v3_realset2 _let_1)))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.v1_funct_1 A))) (let ((_let_2 (tptp.v1_relat_1 A))) (=> (and _let_2 _let_1 (tptp.v1_yellow_1 A)) (and _let_2 _let_1 (tptp.v2_pralg_1 A)))))) (forall ((A $$unsorted)) (exists ((B $$unsorted)) (and (tptp.m1_pboole B A) (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (tptp.v2_pralg_1 B) (tptp.v1_yellow_1 B)))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k2_funcop_1 A B))) (=> (tptp.l1_orders_2 B) (and (tptp.v1_relat_1 _let_1) (tptp.v1_funct_1 _let_1) (tptp.v2_pralg_1 _let_1) (tptp.v1_yellow_1 _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k6_yellow_1 A B))) (=> (and (not (tptp.v3_struct_0 B)) (tptp.l1_orders_2 B)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v1_orders_2 _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k6_yellow_1 A B))) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_orders_2 B) (tptp.l1_orders_2 B)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v1_orders_2 _let_1) (tptp.v2_orders_2 _let_1))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k6_yellow_1 tptp.k1_xboole_0 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v1_orders_2 _let_1) (tptp.v3_realset2 _let_1))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k6_yellow_1 tptp.k1_xboole_0 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.l1_orders_2 A)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v1_orders_2 _let_1) (tptp.v2_orders_2 _let_1) (tptp.v3_orders_2 _let_1) (tptp.v4_orders_2 _let_1) (tptp.v1_yellow_0 _let_1) (tptp.v2_yellow_0 _let_1) (tptp.v3_yellow_0 _let_1) (tptp.v1_lattice3 _let_1) (tptp.v2_lattice3 _let_1) (tptp.v3_lattice3 _let_1) (tptp.v3_realset2 _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k6_yellow_1 A B))) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_orders_2 B) (tptp.l1_orders_2 B)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v1_orders_2 _let_1) (tptp.v3_orders_2 _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k6_yellow_1 A B))) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v4_orders_2 B) (tptp.l1_orders_2 B)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v1_orders_2 _let_1) (tptp.v4_orders_2 _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k6_yellow_1 A B))) (=> (and (not (tptp.v1_xboole_0 A)) (not (tptp.v3_struct_0 B)) (tptp.v4_orders_2 B) (tptp.v2_lattice3 B) (tptp.l1_orders_2 B)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v1_orders_2 _let_1) (tptp.v4_orders_2 _let_1) (tptp.v2_lattice3 _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k6_yellow_1 A B))) (=> (and (not (tptp.v1_xboole_0 A)) (not (tptp.v3_struct_0 B)) (tptp.v4_orders_2 B) (tptp.v1_lattice3 B) (tptp.l1_orders_2 B)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v1_orders_2 _let_1) (tptp.v4_orders_2 _let_1) (tptp.v1_lattice3 _let_1))))) (forall ((A $$unsorted)) (= (tptp.k2_yellow_1 A) (tptp.g1_orders_2 A (tptp.k1_yellow_1 A)))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k2_yellow_1 A))) (and (= (tptp.u1_struct_0 _let_1) A) (= (tptp.u1_orders_2 _let_1) (tptp.k1_yellow_1 A))))) (forall ((A $$unsorted)) (= (tptp.k3_yellow_1 A) (tptp.k3_lattice3 (tptp.k1_lattice3 A)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 (tptp.k3_yellow_1 A))) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k3_yellow_1 A))) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 _let_1)) (= (tptp.r3_orders_2 _let_1 B C) (tptp.r1_tarski B C))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 (tptp.k2_yellow_1 A))) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k2_yellow_1 A))) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 _let_1)) (= (tptp.r3_orders_2 _let_1 B C) (tptp.r1_tarski B C))))))))) (forall ((A $$unsorted)) (= (tptp.k3_yellow_1 A) (tptp.k2_yellow_1 (tptp.k1_zfmisc_1 A)))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k3_yellow_1 A))) (let ((_let_2 (tptp.k2_yellow_1 B))) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 A))) (and (tptp.v4_yellow_0 _let_2 _let_1) (tptp.m1_yellow_0 _let_2 _let_1)))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (=> (tptp.v1_lattice3 (tptp.k2_yellow_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 (tptp.k2_yellow_1 A))) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k2_yellow_1 A))) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 _let_1)) (tptp.r1_tarski (tptp.k2_xboole_0 B C) (tptp.k10_lattice3 _let_1 B C)))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (=> (tptp.v2_lattice3 (tptp.k2_yellow_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 (tptp.k2_yellow_1 A))) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k2_yellow_1 A))) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 _let_1)) (tptp.r1_tarski (tptp.k11_lattice3 _let_1 B C) (tptp.k3_xboole_0 B C)))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 (tptp.k2_yellow_1 A))) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k2_xboole_0 B C))) (let ((_let_2 (tptp.k2_yellow_1 A))) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 _let_2)) (=> (tptp.r2_hidden _let_1 A) (= (tptp.k10_lattice3 _let_2 B C) _let_1)))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 (tptp.k2_yellow_1 A))) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k3_xboole_0 B C))) (let ((_let_2 (tptp.k2_yellow_1 A))) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 _let_2)) (=> (tptp.r2_hidden _let_1 A) (= (tptp.k11_lattice3 _let_2 B C) _let_1)))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_orders_2 A) (=> (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (tptp.r1_orders_2 A B C) (tptp.r1_tarski B C)))))) (= (tptp.u1_orders_2 A) (tptp.k1_yellow_1 (tptp.u1_struct_0 A)))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 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))) (tptp.v1_lattice3 (tptp.k2_yellow_1 A))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (=> (forall ((B $$unsorted) (C $$unsorted)) (=> (and (tptp.r2_hidden B A) (tptp.r2_hidden C A)) (tptp.r2_hidden (tptp.k3_xboole_0 B C) A))) (tptp.v2_lattice3 (tptp.k2_yellow_1 A))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (=> (tptp.r2_hidden tptp.k1_xboole_0 A) (= (tptp.k3_yellow_0 (tptp.k2_yellow_1 A)) tptp.k1_xboole_0)))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k3_tarski A))) (=> (not (tptp.v1_xboole_0 A)) (=> (tptp.r2_hidden _let_1 A) (= (tptp.k4_yellow_0 (tptp.k2_yellow_1 A)) _let_1))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (=> (tptp.v2_yellow_0 (tptp.k2_yellow_1 A)) (tptp.r2_hidden (tptp.k3_tarski A) A)))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (=> (tptp.v1_yellow_0 (tptp.k2_yellow_1 A)) (tptp.r2_hidden (tptp.k1_setfam_1 A) A)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 (tptp.k3_yellow_1 A))) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k3_yellow_1 A))) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 _let_1)) (and (= (tptp.k13_lattice3 _let_1 B C) (tptp.k2_xboole_0 B C)) (= (tptp.k12_lattice3 _let_1 B C) (tptp.k3_xboole_0 B C)))))))) (forall ((A $$unsorted)) (= (tptp.k3_yellow_0 (tptp.k3_yellow_1 A)) tptp.k1_xboole_0)) (forall ((A $$unsorted)) (= (tptp.k4_yellow_0 (tptp.k3_yellow_1 A)) A)) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k3_yellow_1 A))) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 _let_1)))) (= (tptp.k2_yellow_0 _let_1 B) (tptp.k1_setfam_1 B))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k3_yellow_1 A))) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 _let_1))) (= (tptp.k1_yellow_0 _let_1 B) (tptp.k3_tarski 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.k2_yellow_1 (tptp.u1_pre_topc A)))) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 _let_1))) (= (tptp.k1_yellow_0 _let_1 B) (tptp.k3_tarski B))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (= (tptp.k3_yellow_0 (tptp.k2_yellow_1 (tptp.u1_pre_topc A))) tptp.k1_xboole_0))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (= (tptp.k4_yellow_0 (tptp.k2_yellow_1 (tptp.u1_pre_topc A))) (tptp.u1_struct_0 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.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (= (tptp.v1_tops_2 B A) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 (tptp.k2_yellow_1 (tptp.u1_pre_topc A)))))))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (= (tptp.v1_yellow_1 A) (forall ((B $$unsorted)) (=> (tptp.r2_hidden B (tptp.k2_relat_1 A)) (tptp.l1_orders_2 B)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_yellow_1 B) (tptp.m1_pboole B A)) (forall ((C $$unsorted)) (=> (and (tptp.v1_orders_2 C) (tptp.l1_orders_2 C)) (= (= C (tptp.k5_yellow_1 A B)) (and (= (tptp.u1_struct_0 C) (tptp.k4_card_3 (tptp.k12_pralg_1 A B))) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 C)) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.u1_struct_0 C)) (=> (tptp.r2_hidden D (tptp.k4_card_3 (tptp.k12_pralg_1 A B))) (= (tptp.r1_orders_2 C D E) (exists ((F $$unsorted)) (and (tptp.v1_relat_1 F) (tptp.v1_funct_1 F) (exists ((G $$unsorted)) (and (tptp.v1_relat_1 G) (tptp.v1_funct_1 G) (= F D) (= G E) (forall ((H $$unsorted)) (not (and (tptp.r2_hidden H A) (forall ((I $$unsorted)) (=> (tptp.l1_orders_2 I) (forall ((J $$unsorted)) (=> (tptp.m1_subset_1 J (tptp.u1_struct_0 I)) (forall ((K $$unsorted)) (=> (tptp.m1_subset_1 K (tptp.u1_struct_0 I)) (not (and (= I (tptp.k1_funct_1 B H)) (= J (tptp.k1_funct_1 F H)) (= K (tptp.k1_funct_1 G H)) (tptp.r1_orders_2 I J K)))))))))))))))))))))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.l1_orders_2 B) (= (tptp.k6_yellow_1 A B) (tptp.k5_yellow_1 A (tptp.k2_pre_circ A B))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k1_tarski tptp.k1_xboole_0))) (=> (and (tptp.v1_yellow_1 A) (tptp.m1_pboole A tptp.k1_xboole_0)) (= (tptp.k5_yellow_1 tptp.k1_xboole_0 A) (tptp.g1_orders_2 _let_1 (tptp.k6_partfun1 _let_1)))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k1_tarski tptp.k1_xboole_0))) (=> (tptp.l1_orders_2 A) (= (tptp.k6_yellow_1 tptp.k1_xboole_0 A) (tptp.g1_orders_2 _let_1 (tptp.k6_partfun1 _let_1)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.l1_orders_2 B) (= (tptp.k1_funct_2 A (tptp.u1_struct_0 B)) (tptp.u1_struct_0 (tptp.k6_yellow_1 A B))))) (forall ((A $$unsorted)) (=> (tptp.l1_orders_2 A) (forall ((B $$unsorted)) (=> (tptp.l1_orders_2 B) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k6_yellow_1 (tptp.u1_struct_0 A) B))) (=> (and (tptp.v1_orders_2 C) (tptp.v4_yellow_0 C _let_1) (tptp.m1_yellow_0 C _let_1)) (= (= C (tptp.k7_yellow_1 A B)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D _let_2 _let_1) (tptp.m2_relset_1 D _let_2 _let_1)) (= (tptp.r2_hidden D (tptp.u1_struct_0 C)) (and (tptp.r2_hidden D (tptp.k1_funct_2 _let_2 _let_1)) (tptp.v5_orders_3 D A B))))))))))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k1_yellow_1 A))) (and (tptp.v1_relat_2 _let_1) (tptp.v4_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 $$unsorted)) (= (tptp.k1_yellow_1 A) (tptp.k1_wellord2 A))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k2_yellow_1 A))) (and (tptp.v1_orders_2 _let_1) (tptp.l1_orders_2 _let_1)))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k3_yellow_1 A))) (and (tptp.v1_orders_2 _let_1) (tptp.l1_orders_2 _let_1)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v1_yellow_1 B) (tptp.m1_pboole B A) (tptp.m1_subset_1 C A)) (tptp.l1_orders_2 (tptp.k4_yellow_1 A B C)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v1_yellow_1 B) (tptp.m1_pboole B A) (tptp.m1_subset_1 C A)) (= (tptp.k4_yellow_1 A B C) (tptp.k1_funct_1 B C)))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k5_yellow_1 A B))) (=> (and (tptp.v1_yellow_1 B) (tptp.m1_pboole B A)) (and (tptp.v1_orders_2 _let_1) (tptp.l1_orders_2 _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k6_yellow_1 A B))) (=> (tptp.l1_orders_2 B) (and (tptp.v1_orders_2 _let_1) (tptp.l1_orders_2 _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k6_yellow_1 (tptp.u1_struct_0 A) B))) (let ((_let_2 (tptp.k7_yellow_1 A B))) (=> (and (tptp.l1_orders_2 A) (tptp.l1_orders_2 B)) (and (tptp.v1_orders_2 _let_2) (tptp.v4_yellow_0 _let_2 _let_1) (tptp.m1_yellow_0 _let_2 _let_1)))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k5_yellow_0 A B))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A) (not (tptp.v1_xboole_0 B)) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v1_orders_2 _let_1) (tptp.v4_yellow_0 _let_1 A))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k2_yellow_2 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.l1_orders_2 A) (not (tptp.v3_struct_0 B)) (tptp.l1_orders_2 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 (not (tptp.v3_struct_0 _let_1)) (tptp.v1_orders_2 _let_1) (tptp.v4_yellow_0 _let_1 B))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.v25_waybel_0 A))) (let ((_let_2 (tptp.v24_waybel_0 A))) (let ((_let_3 (tptp.v2_yellow_0 A))) (let ((_let_4 (tptp.v4_orders_2 A))) (let ((_let_5 (tptp.v3_orders_2 A))) (let ((_let_6 (tptp.v2_orders_2 A))) (let ((_let_7 (not (tptp.v3_struct_0 A)))) (=> (tptp.l1_orders_2 A) (=> (and _let_7 _let_6 _let_5 _let_4 _let_3 _let_2 _let_1) (and _let_7 _let_6 _let_5 _let_4 (tptp.v1_yellow_0 A) _let_3 (tptp.v3_yellow_0 A) _let_2 _let_1 (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_lattice3 A)))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.l1_orders_2 A)) (not (tptp.v1_xboole_0 (tptp.k8_waybel_0 A))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k2_yellow_1 (tptp.k8_waybel_0 A)))) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 A)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v1_orders_2 _let_1) (tptp.v2_orders_2 _let_1) (tptp.v3_orders_2 _let_1) (tptp.v4_orders_2 _let_1) (tptp.v2_lattice3 _let_1))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k2_yellow_1 (tptp.k8_waybel_0 A)))) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.l1_orders_2 A)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v1_orders_2 _let_1) (tptp.v2_orders_2 _let_1) (tptp.v3_orders_2 _let_1) (tptp.v4_orders_2 _let_1) (tptp.v1_lattice3 _let_1))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k2_yellow_1 (tptp.k8_waybel_0 A)))) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_yellow_0 A) (tptp.v1_lattice3 A) (tptp.l1_orders_2 A)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v1_orders_2 _let_1) (tptp.v2_orders_2 _let_1) (tptp.v3_orders_2 _let_1) (tptp.v4_orders_2 _let_1) (tptp.v1_yellow_0 _let_1) (tptp.v2_yellow_0 _let_1) (tptp.v3_yellow_0 _let_1) (tptp.v24_waybel_0 _let_1) (tptp.v25_waybel_0 _let_1) (tptp.v1_lattice3 _let_1) (tptp.v2_lattice3 _let_1) (tptp.v3_lattice3 _let_1))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k2_yellow_1 (tptp.k8_waybel_0 A)))) (let ((_let_2 (tptp.k3_yellow_2 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v24_waybel_0 A) (tptp.l1_orders_2 A)) (and (tptp.v1_relat_1 _let_2) (tptp.v1_funct_1 _let_2) (tptp.v1_funct_2 _let_2 (tptp.u1_struct_0 _let_1) (tptp.u1_struct_0 A)) (tptp.v5_orders_3 _let_2 _let_1 A)))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k2_yellow_1 (tptp.k8_waybel_0 A)))) (let ((_let_2 (tptp.k4_yellow_2 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.l1_orders_2 A)) (and (tptp.v1_relat_1 _let_2) (tptp.v1_funct_1 _let_2) (tptp.v1_funct_2 _let_2 (tptp.u1_struct_0 A) (tptp.u1_struct_0 _let_1)) (tptp.v5_orders_3 _let_2 A _let_1)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (tptp.r1_tarski C (tptp.k6_waybel_0 A B)) (tptp.r2_lattice3 A C B)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (tptp.r1_tarski C (tptp.k7_waybel_0 A B)) (tptp.r1_lattice3 A C B)))))))) (forall ((A $$unsorted)) (=> (and (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k2_xboole_0 B C))) (=> (and (tptp.r1_yellow_0 A B) (tptp.r1_yellow_0 A C)) (and (tptp.r1_yellow_0 A _let_1) (= (tptp.k1_yellow_0 A _let_1) (tptp.k13_lattice3 A (tptp.k1_yellow_0 A B) (tptp.k1_yellow_0 A C))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k2_xboole_0 B C))) (=> (and (tptp.r2_yellow_0 A B) (tptp.r2_yellow_0 A C)) (and (tptp.r2_yellow_0 A _let_1) (= (tptp.k2_yellow_0 A _let_1) (tptp.k12_lattice3 A (tptp.k2_yellow_0 A B) (tptp.k2_yellow_0 A C))))))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (forall ((B $$unsorted) (C $$unsorted)) (=> (tptp.r1_tarski B C) (tptp.r1_tarski (tptp.k2_wellord1 A B) (tptp.k2_wellord1 A C)))))) (forall ((A $$unsorted)) (=> (tptp.l1_orders_2 A) (forall ((B $$unsorted)) (=> (and (tptp.v4_yellow_0 B A) (tptp.m1_yellow_0 B A)) (forall ((C $$unsorted)) (=> (and (tptp.v4_yellow_0 C A) (tptp.m1_yellow_0 C A)) (=> (tptp.r1_tarski (tptp.u1_struct_0 B) (tptp.u1_struct_0 C)) (tptp.r1_tarski (tptp.u1_orders_2 B) (tptp.u1_orders_2 C))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.l1_orders_2 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.m1_subset_1 A (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B))))) (let ((_let_2 (tptp.m1_subset_1 A (tptp.k1_zfmisc_1 (tptp.u1_struct_0 C))))) (=> (and (not (tptp.v3_struct_0 C)) (tptp.m1_yellow_0 C B)) (and (=> (and (tptp.v1_waybel_0 A C) _let_2) (and (tptp.v1_waybel_0 A B) _let_1)) (=> (and (tptp.v2_waybel_0 A C) _let_2) (and (tptp.v2_waybel_0 A B) _let_1))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v4_yellow_0 B A) (tptp.m1_yellow_0 B A)) (forall ((C $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.v4_yellow_0 C A) (tptp.m1_yellow_0 C A)) (=> (tptp.r1_tarski (tptp.u1_struct_0 B) (tptp.u1_struct_0 C)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B))) (and (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 C))) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.k1_zfmisc_1 (tptp.u1_struct_0 C))) (=> (= D E) (and (=> (tptp.v2_waybel_0 D B) (tptp.v2_waybel_0 E C)) (=> (tptp.v1_waybel_0 D B) (tptp.v1_waybel_0 E C)))))))))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.l1_orders_2 B) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 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 $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D A _let_1) (tptp.m2_relset_1 D A _let_1)) (= (tptp.r1_yellow_2 A B C D) (forall ((E $$unsorted)) (not (and (tptp.r2_hidden E A) (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F (tptp.u1_struct_0 B)) (forall ((G $$unsorted)) (=> (tptp.m1_subset_1 G (tptp.u1_struct_0 B)) (not (and (= F (tptp.k1_funct_1 C E)) (= G (tptp.k1_funct_1 D E)) (tptp.r1_orders_2 B F G))))))))))))))))))) true (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.l1_orders_2 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.m2_relset_1 C _let_2 _let_1)) (forall ((D $$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_1 _let_2) (tptp.m2_relset_1 D _let_1 _let_2)) (= (tptp.r1_yellow_2 _let_1 B C D) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.u1_struct_0 A)) (tptp.r1_orders_2 B (tptp.k1_waybel_0 A B C E) (tptp.k1_waybel_0 A B D E))))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.l1_orders_2 B)) (forall ((C $$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.k2_yellow_2 A B C) (tptp.k5_yellow_0 B (tptp.k1_yellow_2 A B C))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.l1_orders_2 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.m2_relset_1 C _let_2 _let_1)) (= (tptp.k1_yellow_2 A B C) (tptp.u1_struct_0 (tptp.k2_yellow_2 A B C))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.l1_orders_2 B)) (forall ((C $$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)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 (tptp.k2_yellow_2 A B C))) (exists ((E $$unsorted)) (and (tptp.m1_subset_1 E (tptp.u1_struct_0 A)) (= (tptp.k1_waybel_0 A B C E) D))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (tptp.v5_orders_3 (tptp.k7_grcat_1 A) A A))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.l1_orders_2 B)) (forall ((C $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.l1_orders_2 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.v5_orders_3 D A B) (tptp.v5_orders_3 E B C)) (tptp.v5_orders_3 (tptp.k7_funct_2 (tptp.u1_struct_0 A) _let_2 _let_1 D E) A C)))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.l1_orders_2 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.m2_relset_1 C _let_2 _let_1)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.u1_struct_0 A)) (=> (and (tptp.v5_orders_3 C A B) (tptp.r1_lattice3 A D E)) (tptp.r1_lattice3 B (tptp.k4_pre_topc A B C D) (tptp.k1_waybel_0 A B C E))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.l1_orders_2 B)) (forall ((C $$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)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.u1_struct_0 A)) (=> (and (tptp.v5_orders_3 C A B) (tptp.r2_lattice3 A D E)) (tptp.r2_lattice3 B (tptp.k4_pre_topc A B C D) (tptp.k1_waybel_0 A B C E))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.l1_orders_2 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.m2_relset_1 C _let_2 _let_1)) (forall ((D $$unsorted)) (=> (and (tptp.v1_waybel_0 D A) (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (=> (tptp.v5_orders_3 C A B) (tptp.v1_waybel_0 (tptp.k4_pre_topc A B C D) B)))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$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)) (=> (tptp.v22_waybel_0 B A A) (tptp.v5_orders_3 B A A))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$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)) (=> (tptp.v21_waybel_0 B A A) (tptp.v5_orders_3 B A 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))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_1 _let_1) (tptp.m2_relset_1 B _let_1 _let_1)) (=> (tptp.v11_quantal1 B) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k1_waybel_0 A A B C))) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (tptp.k1_waybel_0 A A B _let_1) _let_1)))))))))) (forall ((A $$unsorted) (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))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_1 _let_1) (tptp.m2_relset_1 C _let_1 _let_1)) (=> (and (tptp.v11_quantal1 C) (tptp.r1_tarski A (tptp.k1_yellow_2 B B C))) (= (tptp.k4_pre_topc B B C A) A))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (tptp.v11_quantal1 (tptp.k7_grcat_1 A)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.v1_lattice3 B) (tptp.v2_lattice3 B) (tptp.v3_lattice3 B) (tptp.l1_orders_2 B)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 B)) (=> (tptp.r2_hidden C A) (and (tptp.r3_orders_2 B C (tptp.k1_yellow_0 B A)) (tptp.r3_orders_2 B (tptp.k2_yellow_0 B A) C))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (= (forall ((B $$unsorted)) (tptp.r1_yellow_0 A B)) (forall ((B $$unsorted)) (tptp.r2_yellow_0 A B))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (=> (forall ((B $$unsorted)) (tptp.r1_yellow_0 A B)) (tptp.v3_lattice3 A)))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (=> (forall ((B $$unsorted)) (tptp.r2_yellow_0 A B)) (tptp.v3_lattice3 A)))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (=> (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (tptp.r2_yellow_0 A B))) (forall ((B $$unsorted)) (and (tptp.r2_yellow_0 A B) (= (tptp.k2_yellow_0 A B) (tptp.k2_yellow_0 A (tptp.k3_xboole_0 B (tptp.u1_struct_0 A))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (=> (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (tptp.r1_yellow_0 A B))) (forall ((B $$unsorted)) (and (tptp.r1_yellow_0 A B) (= (tptp.k1_yellow_0 A B) (tptp.k1_yellow_0 A (tptp.k3_xboole_0 B (tptp.u1_struct_0 A))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (=> (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (tptp.r2_yellow_0 A B))) (tptp.v3_lattice3 A)))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v4_yellow_0 B A) (tptp.v7_yellow_0 B A) (tptp.m1_yellow_0 B A)) (and (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.v1_lattice3 B) (tptp.v2_lattice3 B) (tptp.v3_lattice3 B) (tptp.l1_orders_2 B)))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v4_yellow_0 B A) (tptp.v8_yellow_0 B A) (tptp.m1_yellow_0 B A)) (and (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.v1_lattice3 B) (tptp.v2_lattice3 B) (tptp.v3_lattice3 B) (tptp.l1_orders_2 B)))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.l1_orders_2 B)) (forall ((C $$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.v18_waybel_0 C A B) (tptp.v8_yellow_0 (tptp.k2_yellow_2 A B C) B)))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.l1_orders_2 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.m2_relset_1 C _let_2 _let_1)) (=> (tptp.v17_waybel_0 C A B) (tptp.v7_yellow_0 (tptp.k2_yellow_2 A B C) B)))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.v1_lattice3 B) (tptp.v2_lattice3 B) (tptp.v3_lattice3 B) (tptp.l1_orders_2 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k2_yellow_2 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)) (=> (or (tptp.v18_waybel_0 C A B) (tptp.v17_waybel_0 C A B)) (and (tptp.v2_orders_2 _let_1) (tptp.v3_orders_2 _let_1) (tptp.v4_orders_2 _let_1) (tptp.v1_lattice3 _let_1) (tptp.v2_lattice3 _let_1) (tptp.v3_lattice3 _let_1) (tptp.l1_orders_2 _let_1)))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k2_yellow_2 A A B))) (let ((_let_2 (tptp.u1_struct_0 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)) (=> (and (tptp.v11_quantal1 B) (tptp.v22_waybel_0 B A A)) (and (tptp.v4_waybel_0 _let_1 A) (tptp.v2_orders_2 _let_1) (tptp.v3_orders_2 _let_1) (tptp.v4_orders_2 _let_1) (tptp.v1_lattice3 _let_1) (tptp.v2_lattice3 _let_1) (tptp.v3_lattice3 _let_1) (tptp.l1_orders_2 _let_1))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_orders_2 A) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.k1_zfmisc_1 _let_1))) (let ((_let_3 (tptp.k6_setfam_1 _let_1 B))) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 _let_2)) (=> (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (tptp.r2_hidden C B) (tptp.v12_waybel_0 C A)))) (and (tptp.v12_waybel_0 _let_3 A) (tptp.m1_subset_1 _let_3 _let_2)))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_orders_2 A) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.k1_zfmisc_1 _let_1))) (let ((_let_3 (tptp.k6_setfam_1 _let_1 B))) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 _let_2)) (=> (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (tptp.r2_hidden C B) (tptp.v13_waybel_0 C A)))) (and (tptp.v13_waybel_0 _let_3 A) (tptp.m1_subset_1 _let_3 _let_2)))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.k1_zfmisc_1 _let_1))) (let ((_let_3 (tptp.k6_setfam_1 _let_1 B))) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 _let_2)) (=> (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (tptp.r2_hidden C B) (and (tptp.v12_waybel_0 C A) (tptp.v1_waybel_0 C A))))) (and (tptp.v1_waybel_0 _let_3 A) (tptp.m1_subset_1 _let_3 _let_2)))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v4_orders_2 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.k1_zfmisc_1 _let_1))) (let ((_let_3 (tptp.k6_setfam_1 _let_1 B))) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 _let_2)) (=> (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (tptp.r2_hidden C B) (and (tptp.v13_waybel_0 C A) (tptp.v2_waybel_0 C A))))) (and (tptp.v2_waybel_0 _let_3 A) (tptp.m1_subset_1 _let_3 _let_2)))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.v1_waybel_0 B A) (tptp.v12_waybel_0 B A) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.k1_zfmisc_1 _let_1))) (let ((_let_3 (tptp.k5_subset_1 _let_1 B C))) (=> (and (not (tptp.v1_xboole_0 C)) (tptp.v1_waybel_0 C A) (tptp.v12_waybel_0 C A) (tptp.m1_subset_1 C _let_2)) (and (not (tptp.v1_xboole_0 _let_3)) (tptp.v1_waybel_0 _let_3 A) (tptp.v12_waybel_0 _let_3 A) (tptp.m1_subset_1 _let_3 _let_2))))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.l1_orders_2 B)) (= (tptp.m1_subset_1 A (tptp.u1_struct_0 (tptp.k2_yellow_1 (tptp.k8_waybel_0 B)))) (and (not (tptp.v1_xboole_0 A)) (tptp.v1_waybel_0 A B) (tptp.v12_waybel_0 A B) (tptp.m1_subset_1 A (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.l1_orders_2 B)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 (tptp.k2_yellow_1 (tptp.k8_waybel_0 B)))) (=> (tptp.r2_hidden A C) (tptp.m1_subset_1 A (tptp.u1_struct_0 B))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 (tptp.k2_yellow_1 (tptp.k8_waybel_0 A)))) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k2_yellow_1 (tptp.k8_waybel_0 A)))) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 _let_1)) (= (tptp.k11_lattice3 _let_1 B C) (tptp.k3_xboole_0 B C))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_yellow_0 A) (tptp.v1_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k1_setfam_1 B))) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.k8_waybel_0 A)))) (and (not (tptp.v1_xboole_0 _let_1)) (tptp.v1_waybel_0 _let_1 A) (tptp.v12_waybel_0 _let_1 A) (tptp.m1_subset_1 _let_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_yellow_0 A) (tptp.v1_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k2_yellow_1 (tptp.k8_waybel_0 A)))) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 _let_1)))) (and (tptp.r2_yellow_0 _let_1 B) (= (tptp.k2_yellow_0 _let_1 B) (tptp.k1_setfam_1 B)))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k2_yellow_1 (tptp.k8_waybel_0 A)))) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.l1_orders_2 A)) (and (tptp.r2_yellow_0 _let_1 tptp.k1_xboole_0) (= (tptp.k2_yellow_0 _let_1 tptp.k1_xboole_0) (tptp.k2_pre_topc A)))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_yellow_0 A) (tptp.v1_lattice3 A) (tptp.l1_orders_2 A)) (tptp.v3_lattice3 (tptp.k2_yellow_1 (tptp.k8_waybel_0 A))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.u1_struct_0 (tptp.k2_yellow_1 (tptp.k8_waybel_0 A))))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_2 _let_1) (tptp.m2_relset_1 B _let_2 _let_1)) (= (= B (tptp.k3_yellow_2 A)) (forall ((C $$unsorted)) (=> (and (not (tptp.v1_xboole_0 C)) (tptp.v1_waybel_0 C A) (tptp.v12_waybel_0 C A) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (= (tptp.k1_funct_1 B C) (tptp.k1_yellow_0 A C))))))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k3_yellow_2 A))) (let ((_let_2 (tptp.k8_waybel_0 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.l1_orders_2 A)) (and (= (tptp.k1_relat_1 _let_1) _let_2) (tptp.m1_subset_1 (tptp.k1_yellow_2 (tptp.k2_yellow_1 _let_2) A _let_1) (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.l1_orders_2 B)) (= (tptp.r2_hidden A (tptp.k1_relat_1 (tptp.k3_yellow_2 B))) (and (not (tptp.v1_xboole_0 A)) (tptp.v1_waybel_0 A B) (tptp.v12_waybel_0 A B) (tptp.m1_subset_1 A (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v24_waybel_0 A) (tptp.l1_orders_2 A)) (tptp.v5_orders_3 (tptp.k3_yellow_2 A) (tptp.k2_yellow_1 (tptp.k8_waybel_0 A)) A))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 (tptp.k2_yellow_1 (tptp.k8_waybel_0 A))))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (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_yellow_2 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (tptp.k1_waybel_0 A (tptp.k2_yellow_1 (tptp.k8_waybel_0 A)) B C) (tptp.k6_waybel_0 A C))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.l1_orders_2 A)) (tptp.v5_orders_3 (tptp.k4_yellow_2 A) A (tptp.k2_yellow_1 (tptp.k8_waybel_0 A))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.v1_relat_1 B) (= (tptp.k5_yellow_2 A B) (tptp.k1_yellow_0 A (tptp.k2_relat_1 B))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.v1_relat_1 B) (= (tptp.k6_yellow_2 A B) (tptp.k2_yellow_0 A (tptp.k2_relat_1 B))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C B) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k7_yellow_2 B A D C))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D B _let_2) (tptp.m2_relset_1 D B _let_2)) (and (tptp.r3_orders_2 A _let_1 (tptp.k5_yellow_2 A D)) (tptp.r3_orders_2 A (tptp.k6_yellow_2 A D) _let_1)))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (not (tptp.v1_xboole_0 C)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D C _let_1) (tptp.m2_relset_1 D C _let_1)) (=> (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E C) (tptp.r3_orders_2 A (tptp.k7_yellow_2 C A D E) B))) (tptp.r3_orders_2 A (tptp.k5_yellow_2 A D) B))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_lattice3 A) (tptp.l1_orders_2 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 $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D C _let_1) (tptp.m2_relset_1 D C _let_1)) (=> (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E C) (tptp.r3_orders_2 A B (tptp.k7_yellow_2 C A D E)))) (tptp.r3_orders_2 A B (tptp.k6_yellow_2 A D)))))))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (tptp.l1_struct_0 A) (tptp.l1_struct_0 B) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.m1_relset_1 C _let_2 _let_1)) (tptp.m1_subset_1 (tptp.k1_yellow_2 A B C) (tptp.k1_zfmisc_1 _let_1)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (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.k1_yellow_2 A B C) (tptp.k2_relat_1 C)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k2_yellow_2 A B C))) (let ((_let_2 (tptp.u1_struct_0 B))) (let ((_let_3 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A) (not (tptp.v3_struct_0 B)) (tptp.l1_orders_2 B) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_3 _let_2) (tptp.m1_relset_1 C _let_3 _let_2)) (and (tptp.v1_orders_2 _let_1) (tptp.v4_yellow_0 _let_1 B) (tptp.m1_yellow_0 _let_1 B))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.u1_struct_0 (tptp.k2_yellow_1 (tptp.k8_waybel_0 A))))) (let ((_let_3 (tptp.k3_yellow_2 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.l1_orders_2 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 $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 (tptp.k2_yellow_1 (tptp.k8_waybel_0 A))))) (let ((_let_2 (tptp.u1_struct_0 A))) (let ((_let_3 (tptp.k4_yellow_2 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.l1_orders_2 A)) (and (tptp.v1_funct_1 _let_3) (tptp.v1_funct_2 _let_3 _let_2 _let_1) (tptp.m2_relset_1 _let_3 _let_2 _let_1))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A) (tptp.v1_relat_1 B)) (tptp.m1_subset_1 (tptp.k5_yellow_2 A B) (tptp.u1_struct_0 A)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A) (tptp.v1_relat_1 B)) (tptp.m1_subset_1 (tptp.k6_yellow_2 A B) (tptp.u1_struct_0 A)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (=> (and (not (tptp.v1_xboole_0 A)) (not (tptp.v3_struct_0 B)) (tptp.l1_struct_0 B) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C A _let_1) (tptp.m1_relset_1 C A _let_1) (tptp.m1_subset_1 D A)) (tptp.m1_subset_1 (tptp.k7_yellow_2 A B C D) _let_1)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (=> (and (not (tptp.v1_xboole_0 A)) (not (tptp.v3_struct_0 B)) (tptp.l1_struct_0 B) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C A _let_1) (tptp.m1_relset_1 C A _let_1) (tptp.m1_subset_1 D A)) (= (tptp.k7_yellow_2 A B C D) (tptp.k1_funct_1 C D))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (=> (and (not (tptp.v3_struct_0 B)) (tptp.l1_struct_0 B) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C A _let_1) (tptp.m1_relset_1 C A _let_1)) (tptp.m1_subset_1 (tptp.k8_yellow_2 A B C) (tptp.k1_zfmisc_1 _let_1))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (=> (and (not (tptp.v3_struct_0 B)) (tptp.l1_struct_0 B) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C A _let_1) (tptp.m1_relset_1 C A _let_1)) (= (tptp.k8_yellow_2 A B C) (tptp.k2_relat_1 C))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_struct_0 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_1 _let_1) (tptp.m2_relset_1 B _let_1 _let_1)) (=> (tptp.v11_quantal1 B) (= (tptp.k1_yellow_2 A A B) (tptp.a_2_0_yellow_2 A B)))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_1 _let_1) (tptp.m2_relset_1 B _let_1 _let_1)) (=> (tptp.v5_orders_3 B A A) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k5_yellow_0 A C))) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (= C (tptp.a_2_1_yellow_2 A B)) (and (tptp.v2_orders_2 _let_1) (tptp.v3_orders_2 _let_1) (tptp.v4_orders_2 _let_1) (tptp.v1_lattice3 _let_1) (tptp.v2_lattice3 _let_1) (tptp.v3_lattice3 _let_1) (tptp.l1_orders_2 _let_1)))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 (tptp.k2_yellow_1 (tptp.k8_waybel_0 A)))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 (tptp.k2_yellow_1 (tptp.k8_waybel_0 A)))) (exists ((D $$unsorted)) (let ((_let_1 (tptp.k2_yellow_1 (tptp.k8_waybel_0 A)))) (and (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= D (tptp.a_3_0_yellow_2 A B C)) (tptp.r1_yellow_0 _let_1 (tptp.k2_struct_0 _let_1 B C)) (= (tptp.k10_lattice3 _let_1 B C) (tptp.k4_waybel_0 A D))))))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (=> (and (not (tptp.v3_struct_0 B)) (tptp.l1_struct_0 B) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_1 _let_1) (tptp.m2_relset_1 C _let_1 _let_1)) (= (tptp.r2_hidden A (tptp.a_2_0_yellow_2 B C)) (exists ((D $$unsorted)) (and (tptp.m1_subset_1 D (tptp.u1_struct_0 B)) (= A D) (= D (tptp.k1_waybel_0 B B C D)))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (=> (and (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.v1_lattice3 B) (tptp.v2_lattice3 B) (tptp.v3_lattice3 B) (tptp.l1_orders_2 B) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_1 _let_1) (tptp.m2_relset_1 C _let_1 _let_1)) (= (tptp.r2_hidden A (tptp.a_2_1_yellow_2 B C)) (exists ((D $$unsorted)) (and (tptp.m1_subset_1 D (tptp.u1_struct_0 B)) (= A D) (= D (tptp.k1_waybel_0 B B C D)))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 (tptp.k2_yellow_1 (tptp.k8_waybel_0 B))))) (=> (and (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.v1_lattice3 B) (tptp.l1_orders_2 B) (tptp.m1_subset_1 C _let_1) (tptp.m1_subset_1 D _let_1)) (= (tptp.r2_hidden A (tptp.a_3_0_yellow_2 B C D)) (exists ((E $$unsorted)) (and (tptp.m1_subset_1 E (tptp.u1_struct_0 B)) (= A E) (not (and (not (tptp.r2_hidden E C)) (not (tptp.r2_hidden E D)) (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F (tptp.u1_struct_0 B)) (forall ((G $$unsorted)) (=> (tptp.m1_subset_1 G (tptp.u1_struct_0 B)) (not (and (tptp.r2_hidden F C) (tptp.r2_hidden G D) (= E (tptp.k13_lattice3 B F G)))))))))))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k3_yellow_1 A))) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v1_orders_2 _let_1) (tptp.v2_orders_2 _let_1) (tptp.v3_orders_2 _let_1) (tptp.v4_orders_2 _let_1) (tptp.v1_lattice3 _let_1) (tptp.v2_lattice3 _let_1) (tptp.v3_lattice3 _let_1) (tptp.v1_yellow_0 _let_1) (tptp.v2_yellow_0 _let_1) (tptp.v3_yellow_0 _let_1) (tptp.v24_waybel_0 _let_1) (tptp.v25_waybel_0 _let_1) (tptp.v2_waybel_1 _let_1)))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k7_grcat_1 A))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (tptp.l1_orders_2 A) (and (tptp.v1_relat_1 _let_1) (tptp.v1_funct_1 _let_1) (tptp.v1_funct_2 _let_1 _let_2 _let_2) (tptp.v23_waybel_0 _let_1 A A)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.l1_orders_2 A) (not (tptp.v3_struct_0 B)) (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.l1_orders_2 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (let ((_let_3 (tptp.v1_funct_2 C _let_2 _let_1))) (let ((_let_4 (tptp.v1_funct_1 C))) (=> (tptp.m1_relset_1 C _let_2 _let_1) (=> (and _let_4 _let_3 (tptp.v4_waybel_1 C A B)) (and _let_4 (not (tptp.v1_xboole_0 C)) _let_3 (tptp.v1_partfun1 C _let_2 _let_1) (tptp.v17_waybel_0 C A B) (tptp.v19_waybel_0 C A B) (tptp.v21_waybel_0 C A B))))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.l1_orders_2 A) (not (tptp.v3_struct_0 B)) (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.l1_orders_2 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (let ((_let_3 (tptp.v1_funct_2 C _let_2 _let_1))) (let ((_let_4 (tptp.v1_funct_1 C))) (=> (tptp.m1_relset_1 C _let_2 _let_1) (=> (and _let_4 _let_3 (tptp.v5_waybel_1 C B A)) (and _let_4 (not (tptp.v1_xboole_0 C)) _let_3 (tptp.v1_partfun1 C _let_2 _let_1) (tptp.v18_waybel_0 C A B) (tptp.v20_waybel_0 C A B) (tptp.v22_waybel_0 C A B))))))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k7_grcat_1 A))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (and (tptp.v1_relat_1 _let_1) (tptp.v1_funct_1 _let_1) (tptp.v2_funct_1 _let_1) (not (tptp.v1_xboole_0 _let_1)) (tptp.v1_funct_2 _let_1 _let_2 _let_2) (tptp.v1_partfun1 _let_1 _let_2 _let_2) (tptp.v5_orders_3 _let_1 A A) (tptp.v23_waybel_0 _let_1 A A) (tptp.v6_waybel_1 _let_1 A)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (exists ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (and (tptp.m1_relset_1 B _let_1 _let_1) (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (not (tptp.v1_xboole_0 B)) (tptp.v1_funct_2 B _let_1 _let_1) (tptp.v1_partfun1 B _let_1 _let_1) (tptp.v6_waybel_1 B A)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.v1_funct_2 B _let_1 _let_1))) (let ((_let_3 (tptp.v1_funct_1 B))) (=> (tptp.m1_relset_1 B _let_1 _let_1) (=> (and _let_3 _let_2 (tptp.v7_waybel_1 B A)) (and _let_3 (not (tptp.v1_xboole_0 B)) _let_2 (tptp.v1_partfun1 B _let_1 _let_1) (tptp.v6_waybel_1 B A)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.l1_orders_2 A)) (exists ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (and (tptp.m1_relset_1 B _let_1 _let_1) (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (not (tptp.v1_xboole_0 B)) (tptp.v1_funct_2 B _let_1 _let_1) (tptp.v1_partfun1 B _let_1 _let_1) (tptp.v6_waybel_1 B A) (tptp.v7_waybel_1 B A)))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k7_grcat_1 A))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.l1_orders_2 A)) (and (tptp.v1_relat_1 _let_1) (tptp.v1_funct_1 _let_1) (tptp.v2_funct_1 _let_1) (not (tptp.v1_xboole_0 _let_1)) (tptp.v1_funct_2 _let_1 _let_2 _let_2) (tptp.v1_partfun1 _let_1 _let_2 _let_2) (tptp.v5_orders_3 _let_1 A A) (tptp.v23_waybel_0 _let_1 A A) (tptp.v6_waybel_1 _let_1 A) (tptp.v7_waybel_1 _let_1 A)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.v1_funct_2 B _let_1 _let_1))) (let ((_let_3 (tptp.v1_funct_1 B))) (=> (tptp.m1_relset_1 B _let_1 _let_1) (=> (and _let_3 _let_2 (tptp.v8_waybel_1 B A)) (and _let_3 (not (tptp.v1_xboole_0 B)) _let_2 (tptp.v1_partfun1 B _let_1 _let_1) (tptp.v6_waybel_1 B A)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.l1_orders_2 A)) (exists ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (and (tptp.m1_relset_1 B _let_1 _let_1) (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (not (tptp.v1_xboole_0 B)) (tptp.v1_funct_2 B _let_1 _let_1) (tptp.v1_partfun1 B _let_1 _let_1) (tptp.v6_waybel_1 B A) (tptp.v8_waybel_1 B A)))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k7_grcat_1 A))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.l1_orders_2 A)) (and (tptp.v1_relat_1 _let_1) (tptp.v1_funct_1 _let_1) (tptp.v2_funct_1 _let_1) (not (tptp.v1_xboole_0 _let_1)) (tptp.v1_funct_2 _let_1 _let_2 _let_2) (tptp.v1_partfun1 _let_1 _let_2 _let_2) (tptp.v5_orders_3 _let_1 A A) (tptp.v23_waybel_0 _let_1 A A) (tptp.v6_waybel_1 _let_1 A) (tptp.v7_waybel_1 _let_1 A) (tptp.v8_waybel_1 _let_1 A)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 (tptp.k2_yellow_2 A B C)))) (let ((_let_2 (tptp.u1_struct_0 A))) (let ((_let_3 (tptp.k2_waybel_1 A B C))) (let ((_let_4 (tptp.u1_struct_0 B))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A) (not (tptp.v3_struct_0 B)) (tptp.l1_orders_2 B) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_4) (tptp.m1_relset_1 C _let_2 _let_4)) (and (tptp.v1_relat_1 _let_3) (tptp.v1_funct_1 _let_3) (not (tptp.v1_xboole_0 _let_3)) (tptp.v1_funct_2 _let_3 _let_2 _let_1) (tptp.v2_funct_2 _let_3 _let_2 _let_1) (tptp.v1_partfun1 _let_3 _let_2 _let_1)))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k2_yellow_2 A B C))) (let ((_let_2 (tptp.k3_waybel_1 A B C))) (let ((_let_3 (tptp.u1_struct_0 B))) (let ((_let_4 (tptp.u1_struct_0 _let_1))) (let ((_let_5 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A) (not (tptp.v3_struct_0 B)) (tptp.l1_orders_2 B) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_5 _let_3) (tptp.m1_relset_1 C _let_5 _let_3)) (and (tptp.v1_relat_1 _let_2) (tptp.v1_funct_1 _let_2) (tptp.v2_funct_1 _let_2) (not (tptp.v1_xboole_0 _let_2)) (tptp.v1_funct_2 _let_2 _let_4 _let_3) (tptp.v1_partfun1 _let_2 _let_4 _let_3) (tptp.v5_orders_3 _let_2 _let_1 B))))))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k4_waybel_1 A B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 A) (tptp.m1_subset_1 B _let_2)) (and (tptp.v1_relat_1 _let_1) (tptp.v1_funct_1 _let_1) (not (tptp.v1_xboole_0 _let_1)) (tptp.v1_funct_2 _let_1 _let_2 _let_2) (tptp.v1_partfun1 _let_1 _let_2 _let_2) (tptp.v5_orders_3 _let_1 A A)))))) (forall ((A $$unsorted)) (let ((_let_1 (not (tptp.v3_struct_0 A)))) (=> (tptp.l1_orders_2 A) (=> (and _let_1 (tptp.v9_waybel_1 A)) (and _let_1 (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A)))))) (forall ((A $$unsorted)) (let ((_let_1 (not (tptp.v3_struct_0 A)))) (=> (tptp.l1_orders_2 A) (=> (and _let_1 (tptp.v9_waybel_1 A)) (and _let_1 (tptp.v2_waybel_1 A)))))) (forall ((A $$unsorted)) (let ((_let_1 (not (tptp.v3_struct_0 A)))) (=> (tptp.l1_orders_2 A) (=> (and _let_1 (tptp.v9_waybel_1 A)) (and _let_1 (tptp.v2_yellow_0 A)))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k3_yellow_1 A))) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v1_orders_2 _let_1) (tptp.v2_orders_2 _let_1) (tptp.v3_orders_2 _let_1) (tptp.v4_orders_2 _let_1) (tptp.v1_lattice3 _let_1) (tptp.v2_lattice3 _let_1) (tptp.v3_lattice3 _let_1) (tptp.v1_yellow_0 _let_1) (tptp.v2_yellow_0 _let_1) (tptp.v3_yellow_0 _let_1) (tptp.v24_waybel_0 _let_1) (tptp.v25_waybel_0 _let_1) (tptp.v2_waybel_1 _let_1) (tptp.v10_waybel_1 _let_1)))) (forall ((A $$unsorted)) (let ((_let_1 (not (tptp.v3_struct_0 A)))) (=> (tptp.l1_orders_2 A) (=> (and _let_1 (tptp.v11_waybel_1 A)) (and _let_1 (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v1_yellow_0 A) (tptp.v2_yellow_0 A) (tptp.v3_yellow_0 A) (tptp.v2_waybel_1 A) (tptp.v10_waybel_1 A)))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.v10_waybel_1 A))) (let ((_let_2 (tptp.v2_waybel_1 A))) (let ((_let_3 (tptp.v3_yellow_0 A))) (let ((_let_4 (tptp.v2_lattice3 A))) (let ((_let_5 (tptp.v1_lattice3 A))) (let ((_let_6 (tptp.v4_orders_2 A))) (let ((_let_7 (tptp.v3_orders_2 A))) (let ((_let_8 (tptp.v2_orders_2 A))) (let ((_let_9 (not (tptp.v3_struct_0 A)))) (=> (tptp.l1_orders_2 A) (=> (and _let_9 _let_8 _let_7 _let_6 _let_5 _let_4 _let_3 _let_2 _let_1) (and _let_9 _let_8 _let_7 _let_6 _let_5 _let_4 (tptp.v1_yellow_0 A) (tptp.v2_yellow_0 A) _let_3 _let_2 _let_1 (tptp.v11_waybel_1 A)))))))))))))) (forall ((A $$unsorted)) (let ((_let_1 (not (tptp.v3_struct_0 A)))) (=> (tptp.l1_orders_2 A) (=> (and _let_1 (tptp.v11_waybel_1 A)) (and _let_1 (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v2_yellow_0 A) (tptp.v2_waybel_1 A) (tptp.v9_waybel_1 A)))))) (exists ((A $$unsorted)) (and (tptp.l1_orders_2 A) (not (tptp.v3_struct_0 A)) (tptp.v1_orders_2 A) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v1_yellow_0 A) (tptp.v2_yellow_0 A) (tptp.v3_yellow_0 A) (tptp.v2_waybel_1 A) (tptp.v9_waybel_1 A) (tptp.v10_waybel_1 A) (tptp.v11_waybel_1 A))) (exists ((A $$unsorted)) (and (tptp.l1_orders_2 A) (not (tptp.v3_struct_0 A)) (tptp.v1_orders_2 A) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v2_yellow_0 A) (tptp.v2_waybel_1 A) (tptp.v9_waybel_1 A))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_struct_0 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.l1_struct_0 B)) (forall ((C $$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)) (= (tptp.v2_funct_1 C) (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.k7_yellow_2 _let_1 B C D) (tptp.k7_yellow_2 _let_1 B C E)) (= D E)))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.l1_orders_2 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.m2_relset_1 C _let_2 _let_1)) (= (tptp.v5_orders_3 C A B) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (forall ((E $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 E _let_1) (=> (tptp.r1_orders_2 A D E) (tptp.r1_orders_2 B (tptp.k7_yellow_2 _let_1 B C D) (tptp.k7_yellow_2 _let_1 B C E))))))))))))))))) true (forall ((A $$unsorted)) (=> (and (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 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 $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (=> (tptp.r1_orders_2 A B C) (tptp.r1_orders_2 A (tptp.k12_lattice3 A B D) (tptp.k12_lattice3 A C D))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.l1_orders_2 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 $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (=> (tptp.r1_orders_2 A B C) (tptp.r1_orders_2 A (tptp.k13_lattice3 A B D) (tptp.k13_lattice3 A C D))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_orders_2 A) (tptp.v1_yellow_0 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k3_yellow_0 A))) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (and (=> (tptp.v2_lattice3 A) (= (tptp.k11_lattice3 A _let_1 B) _let_1)) (=> (and (tptp.v1_lattice3 A) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A)) (= (tptp.k10_lattice3 A _let_1 B) B)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_orders_2 A) (tptp.v2_yellow_0 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k4_yellow_0 A))) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (and (=> (and (tptp.v2_lattice3 A) (tptp.v3_orders_2 A) (tptp.v2_orders_2 A)) (= (tptp.k11_lattice3 A _let_1 B) B)) (=> (tptp.v1_lattice3 A) (= (tptp.k10_lattice3 A _let_1 B) _let_1)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (= (tptp.v2_waybel_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 $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (= (tptp.k11_lattice3 A B (tptp.k10_lattice3 A C D)) (tptp.k10_lattice3 A (tptp.k11_lattice3 A B C) (tptp.k11_lattice3 A B D)))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 A)) (= (tptp.v2_waybel_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 $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (= (tptp.k13_lattice3 A B (tptp.k12_lattice3 A C D)) (tptp.k12_lattice3 A (tptp.k13_lattice3 A B C) (tptp.k13_lattice3 A B D)))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (= (tptp.r1_waybel_1 A B) (and (tptp.r2_yellow_0 A B) (tptp.r2_hidden (tptp.k2_yellow_0 A B) B)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (= (tptp.r2_waybel_1 A B) (and (tptp.r1_yellow_0 A B) (tptp.r2_hidden (tptp.k1_yellow_0 A B) B)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k2_yellow_0 A C))) (= (tptp.r3_waybel_1 A B C) (and (tptp.r2_yellow_0 A C) (= B _let_1) (tptp.r2_hidden _let_1 C))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k1_yellow_0 A C))) (= (tptp.r4_waybel_1 A B C) (and (tptp.r1_yellow_0 A C) (= B _let_1) (tptp.r2_hidden _let_1 C))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_orders_2 A) (forall ((B $$unsorted)) (=> (tptp.l1_orders_2 B) (= (tptp.r5_waybel_1 A B) (exists ((C $$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.m2_relset_1 C _let_2 _let_1) (tptp.v23_waybel_0 C A B)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.l1_orders_2 B)) (=> (tptp.r5_waybel_1 A B) (tptp.r5_waybel_1 B A)))))) (forall ((A $$unsorted)) (=> (tptp.l1_orders_2 A) (forall ((B $$unsorted)) (=> (tptp.l1_orders_2 B) (forall ((C $$unsorted)) (=> (tptp.l1_orders_2 C) (=> (and (tptp.r5_waybel_1 A B) (tptp.r5_waybel_1 B C)) (tptp.r5_waybel_1 A C)))))))) (forall ((A $$unsorted)) (=> (tptp.l1_orders_2 A) (forall ((B $$unsorted)) (=> (tptp.l1_orders_2 B) (forall ((C $$unsorted)) (= (tptp.m1_waybel_1 C A B) (exists ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D _let_2 _let_1) (tptp.m2_relset_1 D _let_2 _let_1) (exists ((E $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (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) (= C (tptp.k4_tarski D E)))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.l1_orders_2 B)) (forall ((C $$unsorted)) (=> (tptp.m1_waybel_1 C A B) (= (tptp.v3_waybel_1 C A B) (exists ((D $$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) (exists ((E $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.u1_struct_0 B))) (and (tptp.v1_funct_1 E) (tptp.v1_funct_2 E _let_2 _let_1) (tptp.m2_relset_1 E _let_2 _let_1) (= C (tptp.k1_waybel_1 A B D E)) (tptp.v5_orders_3 D A B) (tptp.v5_orders_3 E B A) (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F (tptp.u1_struct_0 B)) (forall ((G $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 G _let_1) (= (tptp.r1_orders_2 B F (tptp.k7_yellow_2 _let_1 B D G)) (tptp.r1_orders_2 A (tptp.k7_yellow_2 (tptp.u1_struct_0 B) A E F) G)))))))))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.l1_orders_2 B)) (forall ((C $$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)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.u1_struct_0 B))) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D _let_2 _let_1) (tptp.m2_relset_1 D _let_2 _let_1)) (= (tptp.v3_waybel_1 (tptp.k1_waybel_1 A B C D) A B) (and (tptp.v5_orders_3 C A B) (tptp.v5_orders_3 D B A) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.u1_struct_0 B)) (forall ((F $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 F _let_1) (= (tptp.r3_orders_2 B E (tptp.k7_yellow_2 _let_1 B C F)) (tptp.r3_orders_2 A (tptp.k7_yellow_2 (tptp.u1_struct_0 B) A D E) F))))))))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.l1_orders_2 B)) (forall ((C $$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.v4_waybel_1 C A B) (exists ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.u1_struct_0 B))) (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D _let_2 _let_1) (tptp.m2_relset_1 D _let_2 _let_1) (tptp.v3_waybel_1 (tptp.k1_waybel_1 A B C D) A B)))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.l1_orders_2 B)) (forall ((C $$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.m2_relset_1 C _let_2 _let_1)) (= (tptp.v5_waybel_1 C A B) (exists ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D _let_2 _let_1) (tptp.m2_relset_1 D _let_2 _let_1) (tptp.v3_waybel_1 (tptp.k1_waybel_1 A B D C) A B)))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.l1_orders_2 B)) (forall ((C $$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)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.u1_struct_0 B))) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D _let_2 _let_1) (tptp.m2_relset_1 D _let_2 _let_1)) (=> (tptp.v3_waybel_1 (tptp.k1_waybel_1 A B C D) A B) (and (tptp.v4_waybel_1 C A B) (tptp.v5_waybel_1 D A B))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.l1_orders_2 B)) (forall ((C $$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)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.u1_struct_0 B))) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D _let_2 _let_1) (tptp.m2_relset_1 D _let_2 _let_1)) (= (tptp.v3_waybel_1 (tptp.k1_waybel_1 A B C D) A B) (and (tptp.v5_orders_3 C A B) (forall ((E $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (=> (tptp.m1_subset_1 E _let_1) (tptp.r3_waybel_1 A (tptp.k7_yellow_2 _let_1 A D E) (tptp.k5_pre_topc A B C (tptp.k7_waybel_0 B E)))))))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.l1_orders_2 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.m2_relset_1 C _let_2 _let_1)) (forall ((D $$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.m2_relset_1 D _let_2 _let_1)) (= (tptp.v3_waybel_1 (tptp.k1_waybel_1 A B C D) A B) (and (tptp.v5_orders_3 D B A) (forall ((E $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 E _let_1) (tptp.r4_waybel_1 B (tptp.k7_yellow_2 _let_1 B C E) (tptp.k5_pre_topc B A D (tptp.k6_waybel_0 A E)))))))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.l1_orders_2 B)) (forall ((C $$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.v4_waybel_1 C A B) (tptp.v17_waybel_0 C A B)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.l1_orders_2 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.u1_struct_0 B))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.m2_relset_1 C _let_2 _let_1)) (=> (tptp.v5_waybel_1 C A B) (tptp.v18_waybel_0 C B A)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.l1_orders_2 B)) (forall ((C $$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)) (not (and (tptp.v3_lattice3 A) (tptp.v17_waybel_0 C A B) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.u1_struct_0 B))) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D _let_2 _let_1) (tptp.m2_relset_1 D _let_2 _let_1)) (not (and (tptp.v3_waybel_1 (tptp.k1_waybel_1 A B C D) A B) (forall ((E $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (=> (tptp.m1_subset_1 E _let_1) (tptp.r3_waybel_1 A (tptp.k7_yellow_2 _let_1 A D E) (tptp.k5_pre_topc A B C (tptp.k7_waybel_0 B E)))))))))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.l1_orders_2 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.u1_struct_0 B))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.m2_relset_1 C _let_2 _let_1)) (not (and (tptp.v3_lattice3 B) (tptp.v18_waybel_0 C B A) (forall ((D $$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.m2_relset_1 D _let_2 _let_1)) (not (and (tptp.v3_waybel_1 (tptp.k1_waybel_1 A B D C) A B) (forall ((E $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 E _let_1) (tptp.r4_waybel_1 B (tptp.k7_yellow_2 _let_1 B D E) (tptp.k5_pre_topc B A C (tptp.k6_waybel_0 A E)))))))))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.l1_orders_2 B)) (forall ((C $$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.v3_lattice3 A) (= (tptp.v17_waybel_0 C A B) (and (tptp.v5_orders_3 C A B) (tptp.v4_waybel_1 C A B)))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.l1_orders_2 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.u1_struct_0 B))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.m2_relset_1 C _let_2 _let_1)) (=> (tptp.v3_lattice3 B) (= (tptp.v18_waybel_0 C B A) (and (tptp.v5_orders_3 C B A) (tptp.v5_waybel_1 C A B)))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.l1_orders_2 B)) (forall ((C $$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)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D _let_1 _let_2) (tptp.m2_relset_1 D _let_1 _let_2)) (=> (tptp.v3_waybel_1 (tptp.k1_waybel_1 A B C D) A B) (and (tptp.r1_yellow_2 _let_2 A (tptp.k7_funct_2 _let_2 _let_1 _let_2 C D) (tptp.k7_grcat_1 A)) (tptp.r1_yellow_2 _let_1 B (tptp.k7_grcat_1 B) (tptp.k7_funct_2 _let_1 _let_2 _let_1 D C)))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.l1_orders_2 B)) (forall ((C $$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)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D _let_1 _let_2) (tptp.m2_relset_1 D _let_1 _let_2)) (=> (and (tptp.v5_orders_3 C A B) (tptp.v5_orders_3 D B A) (tptp.r1_yellow_2 _let_2 A (tptp.k7_funct_2 _let_2 _let_1 _let_2 C D) (tptp.k7_grcat_1 A)) (tptp.r1_yellow_2 _let_1 B (tptp.k7_grcat_1 B) (tptp.k7_funct_2 _let_1 _let_2 _let_1 D C))) (tptp.v3_waybel_1 (tptp.k1_waybel_1 A B C D) A B)))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.l1_orders_2 B)) (forall ((C $$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)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (let ((_let_3 (tptp.k7_funct_2 _let_1 _let_2 _let_1 D C))) (let ((_let_4 (tptp.k7_funct_2 _let_2 _let_1 _let_2 C D))) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D _let_1 _let_2) (tptp.m2_relset_1 D _let_1 _let_2)) (=> (and (tptp.v5_orders_3 C A B) (tptp.v5_orders_3 D B A) (tptp.r1_yellow_2 _let_2 A _let_4 (tptp.k7_grcat_1 A)) (tptp.r1_yellow_2 _let_1 B (tptp.k7_grcat_1 B) _let_3)) (and (= D (tptp.k7_funct_2 _let_1 _let_2 _let_2 D _let_4)) (= C (tptp.k7_funct_2 _let_2 _let_1 _let_1 C _let_3)))))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.l1_orders_2 B)) (forall ((C $$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)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.u1_struct_0 B))) (let ((_let_3 (tptp.k7_funct_2 _let_1 _let_2 _let_1 C D))) (let ((_let_4 (tptp.k7_funct_2 _let_2 _let_1 _let_2 D C))) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D _let_2 _let_1) (tptp.m2_relset_1 D _let_2 _let_1)) (=> (and (= D (tptp.k7_funct_2 _let_2 _let_1 _let_1 D _let_3)) (= C (tptp.k7_funct_2 _let_1 _let_2 _let_2 C _let_4))) (and (tptp.v11_quantal1 _let_4) (tptp.v11_quantal1 _let_3))))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.l1_orders_2 B)) (forall ((C $$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)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D _let_1 _let_2) (tptp.m2_relset_1 D _let_1 _let_2)) (=> (and (tptp.v3_waybel_1 (tptp.k1_waybel_1 A B C D) A B) (tptp.v2_funct_2 C _let_2 _let_1)) (forall ((E $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (=> (tptp.m1_subset_1 E _let_1) (tptp.r3_waybel_1 A (tptp.k7_yellow_2 _let_1 A D E) (tptp.k5_pre_topc A B C (tptp.k1_struct_0 B E))))))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.l1_orders_2 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.m2_relset_1 C _let_2 _let_1)) (forall ((D $$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_1 _let_2) (tptp.m2_relset_1 D _let_1 _let_2)) (=> (forall ((E $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (=> (tptp.m1_subset_1 E _let_1) (tptp.r3_waybel_1 A (tptp.k7_yellow_2 _let_1 A D E) (tptp.k5_pre_topc A B C (tptp.k1_struct_0 B E)))))) (= (tptp.k7_funct_2 _let_1 _let_2 _let_1 D C) (tptp.k7_grcat_1 B))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_struct_0 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.l1_struct_0 B)) (forall ((C $$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)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.u1_struct_0 B))) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D _let_2 _let_1) (tptp.m2_relset_1 D _let_2 _let_1)) (=> (= (tptp.k7_funct_2 _let_1 _let_2 _let_1 C D) (tptp.k7_grcat_1 A)) (and (tptp.v2_funct_1 C) (tptp.v2_funct_2 D _let_2 _let_1))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.l1_orders_2 B)) (forall ((C $$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)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D _let_1 _let_2) (tptp.m2_relset_1 D _let_1 _let_2)) (=> (tptp.v3_waybel_1 (tptp.k1_waybel_1 A B C D) A B) (= (tptp.v2_funct_2 C _let_2 _let_1) (tptp.v2_funct_1 D))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.l1_orders_2 B)) (forall ((C $$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)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.u1_struct_0 B))) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D _let_2 _let_1) (tptp.m2_relset_1 D _let_2 _let_1)) (=> (and (tptp.v3_waybel_1 (tptp.k1_waybel_1 A B C D) A B) (tptp.v2_funct_2 D _let_2 _let_1)) (forall ((E $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 E _let_1) (tptp.r4_waybel_1 B (tptp.k7_yellow_2 _let_1 B C E) (tptp.k5_pre_topc B A D (tptp.k1_struct_0 A E))))))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.l1_orders_2 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.m2_relset_1 C _let_2 _let_1)) (forall ((D $$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.m2_relset_1 D _let_2 _let_1)) (=> (forall ((E $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 E _let_1) (tptp.r4_waybel_1 B (tptp.k7_yellow_2 _let_1 B C E) (tptp.k5_pre_topc B A D (tptp.k1_struct_0 A E)))))) (= (tptp.k7_funct_2 _let_1 _let_2 _let_1 C D) (tptp.k7_grcat_1 A))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.l1_orders_2 B)) (forall ((C $$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)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.u1_struct_0 B))) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D _let_2 _let_1) (tptp.m2_relset_1 D _let_2 _let_1)) (=> (tptp.v3_waybel_1 (tptp.k1_waybel_1 A B C D) A B) (= (tptp.v2_funct_1 C) (tptp.v2_funct_2 D _let_2 _let_1))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_1 _let_1) (tptp.m2_relset_1 B _let_1 _let_1)) (= (tptp.v6_waybel_1 B A) (and (tptp.v11_quantal1 B) (tptp.v5_orders_3 B A A)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_1 _let_1) (tptp.m2_relset_1 B _let_1 _let_1)) (= (tptp.v7_waybel_1 B A) (and (tptp.v6_waybel_1 B A) (tptp.r1_yellow_2 _let_1 A (tptp.k7_grcat_1 A) B)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_1 _let_1) (tptp.m2_relset_1 B _let_1 _let_1)) (= (tptp.v8_waybel_1 B A) (and (tptp.v6_waybel_1 B A) (tptp.r1_yellow_2 _let_1 A B (tptp.k7_grcat_1 A))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_1 _let_1) (tptp.m2_relset_1 B _let_1 _let_1)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k2_yellow_0 A C))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 _let_2)) (=> (and (tptp.v7_waybel_1 B A) (tptp.r2_yellow_0 A C) (tptp.r1_tarski C (tptp.k8_yellow_2 _let_2 A B))) (= _let_1 (tptp.k7_yellow_2 _let_2 A B _let_1)))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$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)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k1_yellow_0 A C))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 _let_2)) (=> (and (tptp.v8_waybel_1 B A) (tptp.r1_yellow_0 A C) (tptp.r1_tarski C (tptp.k8_yellow_2 _let_2 A B))) (= _let_1 (tptp.k7_yellow_2 _let_2 A B _let_1)))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.l1_orders_2 B)) (forall ((C $$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.k2_waybel_1 A B C) (tptp.k8_relat_1 (tptp.u1_struct_0 (tptp.k2_yellow_2 A B C)) C)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.l1_orders_2 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.m2_relset_1 C _let_2 _let_1)) (= (tptp.k2_waybel_1 A B C) C))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.l1_orders_2 B)) (forall ((C $$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_orders_3 C A B) (tptp.v5_orders_3 (tptp.k2_waybel_1 A B C) A (tptp.k2_yellow_2 A B C))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.l1_orders_2 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.m2_relset_1 C _let_2 _let_1)) (= (tptp.k3_waybel_1 A B C) (tptp.k7_grcat_1 (tptp.k2_yellow_2 A B C))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.l1_orders_2 B)) (forall ((C $$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)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 (tptp.k2_yellow_2 A B C)))) (=> (tptp.m1_subset_1 D _let_1) (= (tptp.k7_yellow_2 _let_1 B (tptp.k3_waybel_1 A B C) D) D)))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_1 _let_1) (tptp.m2_relset_1 B _let_1 _let_1)) (= (tptp.k7_funct_2 _let_1 (tptp.u1_struct_0 (tptp.k2_yellow_2 A A B)) _let_1 (tptp.k2_waybel_1 A A B) (tptp.k3_waybel_1 A A B)) B)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k2_yellow_2 A A B))) (let ((_let_2 (tptp.u1_struct_0 _let_1))) (let ((_let_3 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_3 _let_3) (tptp.m2_relset_1 B _let_3 _let_3)) (=> (tptp.v11_quantal1 B) (= (tptp.k7_funct_2 _let_2 _let_3 _let_2 (tptp.k3_waybel_1 A A B) (tptp.k2_waybel_1 A A B)) (tptp.k7_grcat_1 _let_1)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_1 _let_1) (tptp.m2_relset_1 B _let_1 _let_1)) (not (and (tptp.v6_waybel_1 B A) (forall ((C $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.v2_orders_2 C) (tptp.v3_orders_2 C) (tptp.v4_orders_2 C) (tptp.l1_orders_2 C)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 C))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D _let_2 _let_1) (tptp.m2_relset_1 D _let_2 _let_1)) (forall ((E $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 C))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 E) (tptp.v1_funct_2 E _let_1 _let_2) (tptp.m2_relset_1 E _let_1 _let_2)) (not (and (tptp.v5_orders_3 D A C) (tptp.v2_funct_2 D _let_2 _let_1) (tptp.v5_orders_3 E C A) (tptp.v2_funct_1 E) (= B (tptp.k7_funct_2 _let_2 _let_1 _let_2 D E)) (= (tptp.k7_grcat_1 C) (tptp.k7_funct_2 _let_1 _let_2 _let_1 E D))))))))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$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)) (=> (exists ((C $$unsorted)) (and (not (tptp.v3_struct_0 C)) (tptp.v2_orders_2 C) (tptp.v3_orders_2 C) (tptp.v4_orders_2 C) (tptp.l1_orders_2 C) (exists ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 C))) (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) (exists ((E $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 C))) (let ((_let_2 (tptp.u1_struct_0 A))) (and (tptp.v1_funct_1 E) (tptp.v1_funct_2 E _let_1 _let_2) (tptp.m2_relset_1 E _let_1 _let_2) (tptp.v5_orders_3 D A C) (tptp.v5_orders_3 E C A) (= B (tptp.k7_funct_2 _let_2 _let_1 _let_2 D E)) (= (tptp.k7_grcat_1 C) (tptp.k7_funct_2 _let_1 _let_2 _let_1 E D)))))))))))) (tptp.v6_waybel_1 B A))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k2_yellow_2 A A B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_2 _let_2) (tptp.m2_relset_1 B _let_2 _let_2)) (=> (tptp.v7_waybel_1 B A) (tptp.v3_waybel_1 (tptp.k1_waybel_1 _let_1 A (tptp.k3_waybel_1 A A B) (tptp.k2_waybel_1 A A B)) _let_1 A)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_1 _let_1) (tptp.m2_relset_1 B _let_1 _let_1)) (not (and (tptp.v7_waybel_1 B A) (forall ((C $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.v2_orders_2 C) (tptp.v3_orders_2 C) (tptp.v4_orders_2 C) (tptp.l1_orders_2 C)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.u1_struct_0 C))) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D _let_2 _let_1) (tptp.m2_relset_1 D _let_2 _let_1)) (forall ((E $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.u1_struct_0 C))) (=> (and (tptp.v1_funct_1 E) (tptp.v1_funct_2 E _let_1 _let_2) (tptp.m2_relset_1 E _let_1 _let_2)) (not (and (tptp.v3_waybel_1 (tptp.k1_waybel_1 C A D E) C A) (= B (tptp.k7_funct_2 _let_1 _let_2 _let_1 E D))))))))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$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)) (=> (tptp.v5_orders_3 B A A) (or (forall ((C $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.v2_orders_2 C) (tptp.v3_orders_2 C) (tptp.v4_orders_2 C) (tptp.l1_orders_2 C)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.u1_struct_0 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 ((E $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.u1_struct_0 C))) (=> (and (tptp.v1_funct_1 E) (tptp.v1_funct_2 E _let_1 _let_2) (tptp.m2_relset_1 E _let_1 _let_2)) (not (and (tptp.v3_waybel_1 (tptp.k1_waybel_1 C A D E) C A) (= B (tptp.k7_funct_2 _let_1 _let_2 _let_1 E D)))))))))))))) (tptp.v7_waybel_1 B A)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k2_yellow_2 A A B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_2 _let_2) (tptp.m2_relset_1 B _let_2 _let_2)) (=> (tptp.v8_waybel_1 B A) (tptp.v3_waybel_1 (tptp.k1_waybel_1 A _let_1 (tptp.k2_waybel_1 A A B) (tptp.k3_waybel_1 A A B)) A _let_1)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_1 _let_1) (tptp.m2_relset_1 B _let_1 _let_1)) (not (and (tptp.v8_waybel_1 B A) (forall ((C $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.v2_orders_2 C) (tptp.v3_orders_2 C) (tptp.v4_orders_2 C) (tptp.l1_orders_2 C)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 C))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D _let_2 _let_1) (tptp.m2_relset_1 D _let_2 _let_1)) (forall ((E $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.u1_struct_0 C))) (=> (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 (tptp.v3_waybel_1 (tptp.k1_waybel_1 A C D E) A C) (= B (tptp.k7_funct_2 _let_1 _let_2 _let_1 D E))))))))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$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)) (=> (tptp.v5_orders_3 B A A) (or (forall ((C $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.v2_orders_2 C) (tptp.v3_orders_2 C) (tptp.v4_orders_2 C) (tptp.l1_orders_2 C)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 C))) (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 $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.u1_struct_0 C))) (=> (and (tptp.v1_funct_1 E) (tptp.v1_funct_2 E _let_2 _let_1) (tptp.m2_relset_1 E _let_2 _let_1)) (not (and (tptp.v3_waybel_1 (tptp.k1_waybel_1 A C D E) A C) (= B (tptp.k7_funct_2 _let_1 _let_2 _let_1 D E)))))))))))))) (tptp.v8_waybel_1 B A)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k2_yellow_2 A A B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_2 _let_2) (tptp.m2_relset_1 B _let_2 _let_2)) (and (=> (tptp.v7_waybel_1 B A) (tptp.v7_yellow_0 _let_1 A)) (=> (tptp.v8_waybel_1 B A) (tptp.v8_yellow_0 _let_1 A))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v3_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_1 _let_1) (tptp.m2_relset_1 B _let_1 _let_1)) (=> (tptp.v6_waybel_1 B A) (tptp.v3_lattice3 (tptp.k2_yellow_2 A A B)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_1 _let_1) (tptp.m2_relset_1 B _let_1 _let_1)) (=> (tptp.v7_waybel_1 B A) (and (tptp.v18_waybel_0 (tptp.k2_waybel_1 A A B) A (tptp.k2_yellow_2 A A B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.k2_yellow_2 A A B))) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 _let_1)) (=> (and (tptp.r1_tarski C (tptp.u1_struct_0 _let_2)) (tptp.r1_yellow_0 A C)) (and (tptp.r1_yellow_0 _let_2 C) (= (tptp.k1_yellow_0 _let_2 C) (tptp.k7_yellow_2 _let_1 A B (tptp.k1_yellow_0 A C)))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$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)) (=> (tptp.v8_waybel_1 B A) (and (tptp.v17_waybel_0 (tptp.k2_waybel_1 A A B) A (tptp.k2_yellow_2 A A B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.k2_yellow_2 A A B))) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 _let_1)) (=> (and (tptp.r1_tarski C (tptp.u1_struct_0 _let_2)) (tptp.r2_yellow_0 A C)) (and (tptp.r2_yellow_0 _let_2 C) (= (tptp.k2_yellow_0 _let_2 C) (tptp.k7_yellow_2 _let_1 A B (tptp.k2_yellow_0 A C)))))))))))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k2_yellow_1 (tptp.k8_waybel_0 A)))) (let ((_let_2 (tptp.k3_yellow_2 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v3_lattice3 A) (tptp.l1_orders_2 A)) (and (tptp.v3_waybel_1 (tptp.k1_waybel_1 A _let_1 (tptp.k4_yellow_2 A) _let_2) A _let_1) (tptp.v18_waybel_0 _let_2 _let_1 A)))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k2_yellow_1 (tptp.k8_waybel_0 A)))) (let ((_let_2 (tptp.u1_struct_0 _let_1))) (let ((_let_3 (tptp.k7_funct_2 _let_2 (tptp.u1_struct_0 A) _let_2 (tptp.k3_yellow_2 A) (tptp.k4_yellow_2 A)))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v3_lattice3 A) (tptp.l1_orders_2 A)) (and (tptp.v7_waybel_1 _let_3 _let_1) (tptp.r5_waybel_1 (tptp.k2_yellow_2 _let_1 _let_1 _let_3) A))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 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 (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_1 _let_1) (tptp.m2_relset_1 C _let_1 _let_1)) (= (= C (tptp.k4_waybel_1 A B)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 D _let_1) (= (tptp.k7_yellow_2 _let_1 A C D) (tptp.k11_lattice3 A B D))))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (tptp.v5_orders_3 (tptp.k4_waybel_1 A B) A A))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.l1_orders_2 A))) (=> (and (not (tptp.v3_struct_0 A)) _let_1) (= (tptp.v9_waybel_1 A) (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) _let_1 (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (tptp.v5_waybel_1 (tptp.k4_waybel_1 A B) A A)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (=> (tptp.v9_waybel_1 A) (forall ((C $$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)) (= (= C (tptp.k5_waybel_1 A B)) (tptp.v3_waybel_1 (tptp.k1_waybel_1 A A C (tptp.k4_waybel_1 A B)) A A)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (=> (tptp.v9_waybel_1 A) (tptp.v2_waybel_1 A)))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 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.k6_waybel_1 A B C) (tptp.k7_yellow_2 _let_1 A (tptp.k5_waybel_1 A B) C))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (=> (tptp.v9_waybel_1 A) (forall ((B $$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.r1_orders_2 A (tptp.k11_lattice3 A C D) B) (tptp.r1_orders_2 A D (tptp.k6_waybel_1 A C B)))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (=> (tptp.v9_waybel_1 A) (tptp.v2_yellow_0 A)))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (=> (tptp.v9_waybel_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.k4_yellow_0 A) (tptp.k6_waybel_1 A B C)) (tptp.r1_orders_2 A B C))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (=> (tptp.v9_waybel_1 A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (= (tptp.k4_yellow_0 A) (tptp.k6_waybel_1 A B B))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (=> (tptp.v9_waybel_1 A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k4_yellow_0 A))) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (=> (and (= _let_1 (tptp.k6_waybel_1 A B C)) (= _let_1 (tptp.k6_waybel_1 A C B))) (= B C)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (=> (tptp.v9_waybel_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.r1_orders_2 A C (tptp.k6_waybel_1 A B C))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (=> (tptp.v9_waybel_1 A) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k4_yellow_0 A))) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (= _let_1 (tptp.k6_waybel_1 A B _let_1)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (=> (tptp.v9_waybel_1 A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (= B (tptp.k6_waybel_1 A (tptp.k4_yellow_0 A) B))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (=> (tptp.v9_waybel_1 A) (forall ((B $$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.r1_orders_2 A B C) (tptp.r1_orders_2 A (tptp.k6_waybel_1 A C D) (tptp.k6_waybel_1 A B D)))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (=> (tptp.v9_waybel_1 A) (forall ((B $$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.r1_orders_2 A C D) (tptp.r1_orders_2 A (tptp.k6_waybel_1 A B C) (tptp.k6_waybel_1 A B D)))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (=> (tptp.v9_waybel_1 A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (tptp.k11_lattice3 A B (tptp.k6_waybel_1 A B C)) (tptp.k11_lattice3 A B C))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (=> (tptp.v9_waybel_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 $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (= (tptp.k6_waybel_1 A (tptp.k10_lattice3 A B C) D) (tptp.k11_lattice3 A (tptp.k6_waybel_1 A B D) (tptp.k6_waybel_1 A C D)))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (= (tptp.k7_waybel_1 A B) (tptp.k6_waybel_1 A B (tptp.k3_yellow_0 A))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k3_yellow_0 A))) (let ((_let_2 (tptp.k4_yellow_0 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (=> (and (tptp.v9_waybel_1 A) (tptp.v1_yellow_0 A)) (and (= (tptp.k7_waybel_1 A _let_1) _let_2) (= (tptp.k7_waybel_1 A _let_2) _let_1))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v1_yellow_0 A) (tptp.l1_orders_2 A)) (=> (tptp.v9_waybel_1 A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (tptp.r1_orders_2 A C (tptp.k7_waybel_1 A B)) (tptp.r1_orders_2 A B (tptp.k7_waybel_1 A C)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v1_yellow_0 A) (tptp.l1_orders_2 A)) (=> (tptp.v9_waybel_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.r1_orders_2 A C (tptp.k7_waybel_1 A B)) (= (tptp.k11_lattice3 A B C) (tptp.k3_yellow_0 A)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v1_yellow_0 A) (tptp.l1_orders_2 A)) (=> (tptp.v9_waybel_1 A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (=> (tptp.r1_orders_2 A B C) (tptp.r1_orders_2 A (tptp.k7_waybel_1 A C) (tptp.k7_waybel_1 A B)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v1_yellow_0 A) (tptp.l1_orders_2 A)) (=> (tptp.v9_waybel_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.k7_waybel_1 A (tptp.k10_lattice3 A B C)) (tptp.k11_lattice3 A (tptp.k7_waybel_1 A B) (tptp.k7_waybel_1 A C)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v1_yellow_0 A) (tptp.l1_orders_2 A)) (=> (tptp.v9_waybel_1 A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (tptp.r1_orders_2 A (tptp.k10_lattice3 A (tptp.k7_waybel_1 A B) (tptp.k7_waybel_1 A C)) (tptp.k7_waybel_1 A (tptp.k11_lattice3 A B C)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 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.r6_waybel_1 A B C) (and (= (tptp.k10_lattice3 A B C) (tptp.k4_yellow_0 A)) (= (tptp.k11_lattice3 A B C) (tptp.k3_yellow_0 A)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (= (tptp.v10_waybel_1 A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (exists ((C $$unsorted)) (and (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (tptp.r6_waybel_1 A B C)))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_yellow_0 A) (tptp.l1_orders_2 A)) (=> (and (tptp.v9_waybel_1 A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (= (tptp.k7_waybel_1 A (tptp.k7_waybel_1 A B)) B)))) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (tptp.r6_waybel_1 A B (tptp.k7_waybel_1 A B))))))) (forall ((A $$unsorted)) (let ((_let_1 (and (tptp.v2_waybel_1 A) (tptp.v10_waybel_1 A)))) (let ((_let_2 (tptp.v9_waybel_1 A))) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_yellow_0 A) (tptp.l1_orders_2 A)) (and (=> _let_1 (and _let_2 (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (= (tptp.k7_waybel_1 A (tptp.k7_waybel_1 A B)) B))))) (=> (and _let_2 (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (= (tptp.k7_waybel_1 A (tptp.k7_waybel_1 A B)) B)))) _let_1)))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.l1_orders_2 A))) (=> (and (not (tptp.v3_struct_0 A)) _let_1) (= (tptp.v11_waybel_1 A) (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) _let_1 (tptp.v3_yellow_0 A) (tptp.v2_waybel_1 A) (tptp.v10_waybel_1 A)))))) true (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.l1_orders_2 A) (tptp.l1_orders_2 B)) (exists ((C $$unsorted)) (tptp.m1_waybel_1 C A B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_struct_0 A) (not (tptp.v3_struct_0 B)) (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.v1_waybel_1 C A B) (tptp.v2_funct_1 C)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.l1_orders_2 A) (tptp.l1_orders_2 B)) (tptp.r5_waybel_1 A A))) (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_orders_2 A) (tptp.l1_orders_2 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.v1_funct_1 D) (tptp.v1_funct_2 D _let_2 _let_1) (tptp.m1_relset_1 D _let_2 _let_1)) (tptp.m1_waybel_1 (tptp.k1_waybel_1 A B C D) A B))))) (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_orders_2 A) (tptp.l1_orders_2 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.v1_funct_1 D) (tptp.v1_funct_2 D _let_2 _let_1) (tptp.m1_relset_1 D _let_2 _let_1)) (= (tptp.k1_waybel_1 A B C D) (tptp.k4_tarski C D)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 (tptp.k2_yellow_2 A B C)))) (let ((_let_2 (tptp.u1_struct_0 A))) (let ((_let_3 (tptp.k2_waybel_1 A B C))) (let ((_let_4 (tptp.u1_struct_0 B))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A) (not (tptp.v3_struct_0 B)) (tptp.l1_orders_2 B) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_4) (tptp.m1_relset_1 C _let_2 _let_4)) (and (tptp.v1_funct_1 _let_3) (tptp.v1_funct_2 _let_3 _let_2 _let_1) (tptp.m2_relset_1 _let_3 _let_2 _let_1)))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 (tptp.k2_yellow_2 A B C)))) (let ((_let_3 (tptp.k3_waybel_1 A B C))) (let ((_let_4 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A) (not (tptp.v3_struct_0 B)) (tptp.l1_orders_2 B) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_4 _let_1) (tptp.m1_relset_1 C _let_4 _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)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.k4_waybel_1 A B))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A) (tptp.m1_subset_1 B _let_1)) (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 A))) (let ((_let_2 (tptp.k5_waybel_1 A B))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A) (tptp.m1_subset_1 B _let_1)) (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 $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A) (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (tptp.m1_subset_1 (tptp.k6_waybel_1 A B C) _let_1)))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A) (tptp.m1_subset_1 B _let_1)) (tptp.m1_subset_1 (tptp.k7_waybel_1 A B) _let_1)))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_1 _let_1) (tptp.m2_relset_1 B _let_1 _let_1)) (=> (tptp.v6_waybel_1 B A) (= (tptp.k8_yellow_2 _let_1 A B) (tptp.k3_xboole_0 (tptp.a_2_0_waybel_1 A B) (tptp.a_2_1_waybel_1 A B))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.k1_zfmisc_1 _let_1))) (let ((_let_3 (tptp.a_2_1_waybel_1 A B))) (let ((_let_4 (tptp.a_2_0_waybel_1 A B))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_1 _let_1) (tptp.m2_relset_1 B _let_1 _let_1)) (=> (tptp.v6_waybel_1 B A) (and (not (tptp.v1_xboole_0 _let_4)) (tptp.m1_subset_1 _let_4 _let_2) (not (tptp.v1_xboole_0 _let_3)) (tptp.m1_subset_1 _let_3 _let_2))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.k8_yellow_2 _let_1 A B))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_1 _let_1) (tptp.m2_relset_1 B _let_1 _let_1)) (=> (tptp.v6_waybel_1 B A) (and (= (tptp.k2_relat_1 (tptp.k2_partfun1 _let_1 _let_1 B (tptp.a_2_0_waybel_1 A B))) _let_2) (= (tptp.k2_relat_1 (tptp.k2_partfun1 _let_1 _let_1 B (tptp.a_2_1_waybel_1 A B))) _let_2))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_1 _let_1) (tptp.m2_relset_1 B _let_1 _let_1)) (=> (tptp.v6_waybel_1 B A) (forall ((C $$unsorted)) (=> (and (not (tptp.v1_xboole_0 C)) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 (tptp.k5_yellow_0 A C)))) (let ((_let_2 (tptp.u1_struct_0 A))) (let ((_let_3 (tptp.k2_partfun1 _let_2 _let_2 B C))) (=> (and (not (tptp.v1_xboole_0 D)) (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 _let_2))) (=> (= C (tptp.a_2_0_waybel_1 A B)) (and (tptp.v1_funct_1 _let_3) (tptp.v1_funct_2 _let_3 _let_1 _let_1) (tptp.m2_relset_1 _let_3 _let_1 _let_1)))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_1 _let_1) (tptp.m2_relset_1 B _let_1 _let_1)) (=> (tptp.v6_waybel_1 B A) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 (tptp.k5_yellow_0 A C)))) (let ((_let_2 (tptp.u1_struct_0 A))) (let ((_let_3 (tptp.k2_partfun1 _let_2 _let_2 B C))) (=> (and (not (tptp.v1_xboole_0 C)) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 _let_2))) (=> (= C (tptp.a_2_1_waybel_1 A B)) (and (tptp.v1_funct_1 _let_3) (tptp.v1_funct_2 _let_3 _let_1 _let_1) (tptp.m2_relset_1 _let_3 _let_1 _let_1)))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$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)) (=> (tptp.v6_waybel_1 B A) (forall ((C $$unsorted)) (=> (and (not (tptp.v1_xboole_0 C)) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (=> (= C (tptp.a_2_0_waybel_1 A B)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k5_yellow_0 A C))) (let ((_let_2 (tptp.u1_struct_0 A))) (let ((_let_3 (tptp.u1_struct_0 _let_1))) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D _let_3 _let_3) (tptp.m2_relset_1 D _let_3 _let_3)) (=> (= D (tptp.k2_partfun1 _let_2 _let_2 B C)) (tptp.v7_waybel_1 D _let_1)))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$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)) (=> (tptp.v6_waybel_1 B A) (forall ((C $$unsorted)) (=> (and (not (tptp.v1_xboole_0 C)) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (=> (= C (tptp.a_2_1_waybel_1 A B)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k5_yellow_0 A C))) (let ((_let_2 (tptp.u1_struct_0 A))) (let ((_let_3 (tptp.u1_struct_0 _let_1))) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D _let_3 _let_3) (tptp.m2_relset_1 D _let_3 _let_3)) (=> (= D (tptp.k2_partfun1 _let_2 _let_2 B C)) (tptp.v8_waybel_1 D _let_1)))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$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)) (=> (tptp.v5_orders_3 B A A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (= C (tptp.a_2_0_waybel_1 A B)) (tptp.v8_yellow_0 (tptp.k5_yellow_0 A C) A)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_1 _let_1) (tptp.m2_relset_1 B _let_1 _let_1)) (=> (tptp.v5_orders_3 B A A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (= C (tptp.a_2_1_waybel_1 A B)) (tptp.v7_yellow_0 (tptp.k5_yellow_0 A C) A)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$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)) (=> (tptp.v6_waybel_1 B A) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k2_yellow_2 A A B))) (let ((_let_2 (tptp.k5_yellow_0 A C))) (=> (and (not (tptp.v1_xboole_0 C)) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (=> (= C (tptp.a_2_0_waybel_1 A B)) (and (=> (tptp.v17_waybel_0 B A A) (and (tptp.v7_yellow_0 _let_2 A) (tptp.v7_yellow_0 _let_1 A))) (=> (tptp.v21_waybel_0 B A A) (and (tptp.v3_waybel_0 _let_2 A) (tptp.v3_waybel_0 _let_1 A))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_1 _let_1) (tptp.m2_relset_1 B _let_1 _let_1)) (=> (tptp.v6_waybel_1 B A) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k2_yellow_2 A A B))) (let ((_let_2 (tptp.k5_yellow_0 A C))) (=> (and (not (tptp.v1_xboole_0 C)) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (=> (= C (tptp.a_2_1_waybel_1 A B)) (and (=> (tptp.v18_waybel_0 B A A) (and (tptp.v8_yellow_0 _let_2 A) (tptp.v8_yellow_0 _let_1 A))) (=> (tptp.v22_waybel_0 B A A) (and (tptp.v4_waybel_0 _let_2 A) (tptp.v4_waybel_0 _let_1 A))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (tptp.a_3_0_waybel_1 A B C) (tptp.k5_pre_topc A A (tptp.k4_waybel_1 A B) (tptp.k6_waybel_0 A C))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (tptp.k4_pre_topc A A (tptp.k4_waybel_1 A B) C) (tptp.a_3_1_waybel_1 A B C)))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 A)) (= (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (tptp.v5_waybel_1 (tptp.k4_waybel_1 A B) A 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_waybel_1 A (tptp.a_3_2_waybel_1 A B C))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 A)) (=> (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (tptp.v5_waybel_1 (tptp.k4_waybel_1 A B) A A))) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (tptp.r1_yellow_0 A B) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (tptp.k12_lattice3 A C (tptp.k1_yellow_0 A B)) (tptp.k1_yellow_0 A (tptp.a_3_3_waybel_1 A B C))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v3_lattice3 A) (tptp.l1_orders_2 A)) (= (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (tptp.v5_waybel_1 (tptp.k4_waybel_1 A B) A 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.k12_lattice3 A C (tptp.k1_yellow_0 A B)) (tptp.k1_yellow_0 A (tptp.a_3_4_waybel_1 A B C)))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 A)) (=> (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (tptp.r1_yellow_0 A B) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (tptp.k12_lattice3 A C (tptp.k1_yellow_0 A B)) (tptp.k1_yellow_0 A (tptp.a_3_5_waybel_1 A B C)))))))) (tptp.v2_waybel_1 A)))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (=> (and (tptp.v9_waybel_1 A) (tptp.v1_yellow_0 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (tptp.r4_waybel_1 A (tptp.k7_waybel_1 A B) (tptp.a_2_2_waybel_1 A B))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.l1_orders_2 B) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_1 _let_1) (tptp.m2_relset_1 C _let_1 _let_1)) (= (tptp.r2_hidden A (tptp.a_2_0_waybel_1 B C)) (exists ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (and (tptp.m1_subset_1 D _let_1) (= A D) (tptp.r3_orders_2 B D (tptp.k7_yellow_2 _let_1 B C D))))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.l1_orders_2 B) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_1 _let_1) (tptp.m2_relset_1 C _let_1 _let_1)) (= (tptp.r2_hidden A (tptp.a_2_1_waybel_1 B C)) (exists ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (and (tptp.m1_subset_1 D _let_1) (= A D) (tptp.r3_orders_2 B (tptp.k7_yellow_2 _let_1 B C D) D)))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (=> (and (not (tptp.v3_struct_0 B)) (tptp.l1_orders_2 B) (tptp.m1_subset_1 C _let_1) (tptp.m1_subset_1 D _let_1)) (= (tptp.r2_hidden A (tptp.a_3_0_waybel_1 B C D)) (exists ((E $$unsorted)) (and (tptp.m1_subset_1 E (tptp.u1_struct_0 B)) (= A E) (tptp.r1_orders_2 B (tptp.k11_lattice3 B C E) D))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (=> (and (not (tptp.v3_struct_0 B)) (tptp.l1_orders_2 B) (tptp.m1_subset_1 C _let_1) (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 _let_1))) (= (tptp.r2_hidden A (tptp.a_3_1_waybel_1 B C D)) (exists ((E $$unsorted)) (and (tptp.m1_subset_1 E (tptp.u1_struct_0 B)) (= A (tptp.k11_lattice3 B C E)) (tptp.r2_hidden E D))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (=> (and (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.v2_lattice3 B) (tptp.l1_orders_2 B) (tptp.m1_subset_1 C _let_1) (tptp.m1_subset_1 D _let_1)) (= (tptp.r2_hidden A (tptp.a_3_2_waybel_1 B C D)) (exists ((E $$unsorted)) (and (tptp.m1_subset_1 E (tptp.u1_struct_0 B)) (= A E) (tptp.r3_orders_2 B (tptp.k12_lattice3 B C E) D))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (=> (and (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.v2_lattice3 B) (tptp.l1_orders_2 B) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 _let_1)) (tptp.m1_subset_1 D _let_1)) (= (tptp.r2_hidden A (tptp.a_3_3_waybel_1 B C D)) (exists ((E $$unsorted)) (and (tptp.m1_subset_1 E (tptp.u1_struct_0 B)) (= A (tptp.k12_lattice3 B D E)) (tptp.r2_hidden E C))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.v3_lattice3 B) (tptp.l1_orders_2 B) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 _let_1)) (tptp.m1_subset_1 D _let_1)) (= (tptp.r2_hidden A (tptp.a_3_4_waybel_1 B C D)) (exists ((E $$unsorted)) (and (tptp.m1_subset_1 E (tptp.u1_struct_0 B)) (= A (tptp.k12_lattice3 B D E)) (tptp.r2_hidden E C))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (=> (and (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.v1_lattice3 B) (tptp.v2_lattice3 B) (tptp.l1_orders_2 B) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 _let_1)) (tptp.m1_subset_1 D _let_1)) (= (tptp.r2_hidden A (tptp.a_3_5_waybel_1 B C D)) (exists ((E $$unsorted)) (and (tptp.m1_subset_1 E (tptp.u1_struct_0 B)) (= A (tptp.k12_lattice3 B D E)) (tptp.r2_hidden E C))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.l1_orders_2 B) (tptp.m1_subset_1 C (tptp.u1_struct_0 B))) (= (tptp.r2_hidden A (tptp.a_2_2_waybel_1 B C)) (exists ((D $$unsorted)) (and (tptp.m1_subset_1 D (tptp.u1_struct_0 B)) (= A D) (= (tptp.k11_lattice3 B C D) (tptp.k3_yellow_0 B))))))) (forall ((A $$unsorted)) (=> (tptp.v1_xboole_0 A) (tptp.v1_xboole_0 (tptp.k1_funct_5 A)))) (forall ((A $$unsorted)) (=> (tptp.v1_xboole_0 A) (tptp.v1_xboole_0 (tptp.k2_funct_5 A)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (not (tptp.v1_xboole_0 B)) (not (tptp.v1_xboole_0 C)) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.k2_zfmisc_1 A B)))) (not (tptp.v1_xboole_0 (tptp.k1_funct_5 C))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (not (tptp.v1_xboole_0 B)) (not (tptp.v1_xboole_0 C)) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.k2_zfmisc_1 A B)))) (not (tptp.v1_xboole_0 (tptp.k2_funct_5 C))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.l1_orders_2 A) (tptp.v1_xboole_0 B) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (tptp.v1_xboole_0 (tptp.k4_waybel_0 A B)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.l1_orders_2 A) (tptp.v1_xboole_0 B) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (tptp.v1_xboole_0 (tptp.k5_waybel_0 A B)))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k3_yellow_3 A B))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A) (not (tptp.v3_struct_0 B)) (tptp.l1_orders_2 B)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v1_orders_2 _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k3_yellow_3 A B))) (=> (and (tptp.v2_orders_2 A) (tptp.l1_orders_2 A) (tptp.v2_orders_2 B) (tptp.l1_orders_2 B)) (and (tptp.v1_orders_2 _let_1) (tptp.v2_orders_2 _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k3_yellow_3 A B))) (=> (and (tptp.v4_orders_2 A) (tptp.l1_orders_2 A) (tptp.v4_orders_2 B) (tptp.l1_orders_2 B)) (and (tptp.v1_orders_2 _let_1) (tptp.v4_orders_2 _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k3_yellow_3 A B))) (=> (and (tptp.v3_orders_2 A) (tptp.l1_orders_2 A) (tptp.v3_orders_2 B) (tptp.l1_orders_2 B)) (and (tptp.v1_orders_2 _let_1) (tptp.v3_orders_2 _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k3_yellow_3 A B))) (=> (and (tptp.v1_lattice3 A) (tptp.l1_orders_2 A) (tptp.v1_lattice3 B) (tptp.l1_orders_2 B)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v1_orders_2 _let_1) (tptp.v1_lattice3 _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k3_yellow_3 A B))) (=> (and (tptp.v2_lattice3 A) (tptp.l1_orders_2 A) (tptp.v2_lattice3 B) (tptp.l1_orders_2 B)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v1_orders_2 _let_1) (tptp.v2_lattice3 _let_1))))) (forall ((A $$unsorted)) (=> (tptp.l1_orders_2 A) (=> (tptp.v3_struct_0 A) (tptp.v1_yellow_3 A)))) (exists ((A $$unsorted)) (and (tptp.l1_orders_2 A) (not (tptp.v3_struct_0 A)) (tptp.v1_orders_2 A) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (not (tptp.v1_yellow_3 A)))) (forall ((A $$unsorted)) (=> (tptp.l1_orders_2 A) (=> (not (tptp.v1_yellow_3 A)) (not (tptp.v3_struct_0 A))))) (forall ((A $$unsorted)) (let ((_let_1 (not (tptp.v3_struct_0 A)))) (=> (tptp.l1_orders_2 A) (=> (and _let_1 (tptp.v2_orders_2 A)) (and _let_1 (not (tptp.v1_yellow_3 A))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.u1_orders_2 A))) (=> (and (not (tptp.v1_yellow_3 A)) (tptp.l1_orders_2 A)) (and (not (tptp.v1_xboole_0 _let_1)) (tptp.v1_relat_1 _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k3_yellow_3 A B))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_orders_2 A) (tptp.v3_lattice3 A) (tptp.l1_orders_2 A) (not (tptp.v3_struct_0 B)) (tptp.v4_orders_2 B) (tptp.v3_lattice3 B) (tptp.l1_orders_2 B)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v1_orders_2 _let_1) (tptp.v4_orders_2 _let_1) (tptp.v1_lattice3 _let_1) (tptp.v2_lattice3 _let_1) (tptp.v3_lattice3 _let_1) (tptp.v1_yellow_0 _let_1) (tptp.v2_yellow_0 _let_1) (tptp.v3_yellow_0 _let_1))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.k2_zfmisc_1 A B))) (tptp.r1_tarski C (tptp.k2_zfmisc_1 (tptp.k1_funct_5 C) (tptp.k2_funct_5 C))))) (forall ((A $$unsorted)) (=> (and (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 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)) (=> (and (tptp.r1_orders_2 A B D) (tptp.r1_orders_2 A C E)) (tptp.r1_orders_2 A (tptp.k12_lattice3 A B C) (tptp.k12_lattice3 A D E))))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$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 $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.u1_struct_0 A)) (=> (and (tptp.r1_orders_2 A B D) (tptp.r1_orders_2 A C E)) (tptp.r1_orders_2 A (tptp.k13_lattice3 A B C) (tptp.k13_lattice3 A D E))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v4_orders_2 A) (tptp.v3_lattice3 A) (tptp.l1_orders_2 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 B) (= (tptp.k12_lattice3 A (tptp.k1_yellow_0 A B) C) C)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v4_orders_2 A) (tptp.v3_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (=> (tptp.r2_hidden C B) (= (tptp.k13_lattice3 A (tptp.k2_yellow_0 A B) C) C)))))))) (forall ((A $$unsorted)) (=> (tptp.l1_orders_2 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.k4_waybel_0 A B) (tptp.k4_waybel_0 A C))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_orders_2 A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (tptp.r1_tarski B C) (tptp.r1_tarski (tptp.k5_waybel_0 A B) (tptp.k5_waybel_0 A C))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.v2_lattice3 B) (tptp.l1_orders_2 B)) (forall ((C $$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)) (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.r3_waybel_0 A B C (tptp.k2_struct_0 A D E)) (= (tptp.k1_waybel_0 A B C (tptp.k12_lattice3 A D E)) (tptp.k12_lattice3 B (tptp.k1_waybel_0 A B C D) (tptp.k1_waybel_0 A B C E)))))))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.v1_lattice3 B) (tptp.l1_orders_2 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.m2_relset_1 C _let_2 _let_1)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.u1_struct_0 A)) (= (tptp.r4_waybel_0 A B C (tptp.k2_struct_0 A D E)) (= (tptp.k1_waybel_0 A B C (tptp.k13_lattice3 A D E)) (tptp.k13_lattice3 B (tptp.k1_waybel_0 A B C D) (tptp.k1_waybel_0 A B C E)))))))))))))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (forall ((B $$unsorted)) (=> (tptp.v1_relat_1 B) (forall ((C $$unsorted)) (=> (tptp.v1_relat_1 C) (= (= C (tptp.k1_yellow_3 A B)) (forall ((D $$unsorted) (E $$unsorted)) (= (tptp.r2_hidden (tptp.k4_tarski D E) C) (exists ((F $$unsorted) (G $$unsorted) (H $$unsorted) (I $$unsorted)) (and (= D (tptp.k4_tarski F G)) (= E (tptp.k4_tarski H I)) (tptp.r2_hidden (tptp.k4_tarski F H) A) (tptp.r2_hidden (tptp.k4_tarski G I) B)))))))))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (forall ((B $$unsorted)) (=> (tptp.v1_relat_1 B) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k2_mcart_1 C))) (let ((_let_2 (tptp.k1_mcart_1 C))) (= (tptp.r2_hidden C (tptp.k1_yellow_3 A B)) (and (tptp.r2_hidden (tptp.k4_tarski (tptp.k1_mcart_1 _let_2) (tptp.k1_mcart_1 _let_1)) A) (tptp.r2_hidden (tptp.k4_tarski (tptp.k2_mcart_1 _let_2) (tptp.k2_mcart_1 _let_1)) B) (exists ((D $$unsorted) (E $$unsorted)) (= C (tptp.k4_tarski D E))) (exists ((D $$unsorted) (E $$unsorted)) (= (tptp.k1_mcart_1 C) (tptp.k4_tarski D E))) (exists ((D $$unsorted) (E $$unsorted)) (= (tptp.k2_mcart_1 C) (tptp.k4_tarski D E)))))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_orders_2 A) (forall ((B $$unsorted)) (=> (tptp.l1_orders_2 B) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_orders_2 C) (tptp.l1_orders_2 C)) (= (= C (tptp.k3_yellow_3 A B)) (and (= (tptp.u1_struct_0 C) (tptp.k2_zfmisc_1 _let_2 _let_1)) (= (tptp.u1_orders_2 C) (tptp.k2_yellow_3 _let_2 _let_2 _let_1 _let_1 (tptp.u1_orders_2 A) (tptp.u1_orders_2 B))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.l1_orders_2 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 (tptp.r1_orders_2 A C D) (tptp.r1_orders_2 B E F)) (tptp.r1_orders_2 (tptp.k3_yellow_3 A B) (tptp.k7_yellow_3 A B C E) (tptp.k7_yellow_3 A B D F))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.l1_orders_2 B)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 (tptp.k3_yellow_3 A B))) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k3_yellow_3 A B))) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 _let_1)) (= (tptp.r1_orders_2 _let_1 C D) (and (tptp.r1_orders_2 A (tptp.k8_yellow_3 A B C) (tptp.k8_yellow_3 A B D)) (tptp.r1_orders_2 B (tptp.k9_yellow_3 A B C) (tptp.k9_yellow_3 A B D))))))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_orders_2 A) (forall ((B $$unsorted)) (=> (tptp.l1_orders_2 B) (forall ((C $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.l1_orders_2 C)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 C))) (let ((_let_2 (tptp.u1_struct_0 (tptp.k3_yellow_3 A 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)) (forall ((E $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 C))) (let ((_let_2 (tptp.u1_struct_0 (tptp.k3_yellow_3 A B)))) (=> (and (tptp.v1_funct_1 E) (tptp.v1_funct_2 E _let_2 _let_1) (tptp.m2_relset_1 E _let_2 _let_1)) (=> (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F (tptp.u1_struct_0 A)) (forall ((G $$unsorted)) (let ((_let_1 (tptp.k4_tarski F G))) (=> (tptp.m1_subset_1 G (tptp.u1_struct_0 B)) (= (tptp.k1_funct_1 D _let_1) (tptp.k1_funct_1 E _let_1))))))) (= D E)))))))))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_orders_2 A) (forall ((B $$unsorted)) (=> (tptp.l1_orders_2 B) (=> (not (tptp.v3_struct_0 (tptp.k3_yellow_3 A B))) (and (not (tptp.v3_struct_0 A)) (not (tptp.v3_struct_0 B)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.l1_orders_2 B)) (=> (tptp.v2_orders_2 (tptp.k3_yellow_3 A B)) (and (tptp.v2_orders_2 A) (tptp.v2_orders_2 B))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_orders_2 B) (tptp.l1_orders_2 B)) (=> (tptp.v4_orders_2 (tptp.k3_yellow_3 A B)) (and (tptp.v4_orders_2 A) (tptp.v4_orders_2 B))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_orders_2 B) (tptp.l1_orders_2 B)) (=> (tptp.v3_orders_2 (tptp.k3_yellow_3 A B)) (and (tptp.v3_orders_2 A) (tptp.v3_orders_2 B))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_orders_2 B) (tptp.l1_orders_2 B)) (=> (tptp.v1_lattice3 (tptp.k3_yellow_3 A B)) (and (tptp.v1_lattice3 A) (tptp.v1_lattice3 B))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_orders_2 B) (tptp.l1_orders_2 B)) (=> (tptp.v2_lattice3 (tptp.k3_yellow_3 A B)) (and (tptp.v2_lattice3 A) (tptp.v2_lattice3 B))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.l1_orders_2 B)) (forall ((C $$unsorted)) (=> (and (not (tptp.v1_xboole_0 C)) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (forall ((D $$unsorted)) (=> (and (not (tptp.v1_xboole_0 D)) (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B)))) (=> (tptp.v1_waybel_0 (tptp.k6_yellow_3 A B C D) (tptp.k3_yellow_3 A B)) (and (tptp.v1_waybel_0 C A) (tptp.v1_waybel_0 D B))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.l1_orders_2 B)) (forall ((C $$unsorted)) (=> (and (not (tptp.v1_xboole_0 C)) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 (tptp.k3_yellow_3 A B))))) (and (not (tptp.v1_xboole_0 (tptp.k4_yellow_3 A B C))) (not (tptp.v1_xboole_0 (tptp.k5_yellow_3 A B C)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_orders_2 B) (tptp.l1_orders_2 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k3_yellow_3 A B))) (=> (and (not (tptp.v1_xboole_0 C)) (tptp.v1_waybel_0 C _let_1) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 _let_1)))) (and (tptp.v1_waybel_0 (tptp.k4_yellow_3 A B C) A) (tptp.v1_waybel_0 (tptp.k5_yellow_3 A B C) B))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.l1_orders_2 B)) (forall ((C $$unsorted)) (=> (and (not (tptp.v1_xboole_0 C)) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (forall ((D $$unsorted)) (=> (and (not (tptp.v1_xboole_0 D)) (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B)))) (=> (tptp.v2_waybel_0 (tptp.k6_yellow_3 A B C D) (tptp.k3_yellow_3 A B)) (and (tptp.v2_waybel_0 C A) (tptp.v2_waybel_0 D B))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_orders_2 B) (tptp.l1_orders_2 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k3_yellow_3 A B))) (=> (and (not (tptp.v1_xboole_0 C)) (tptp.v2_waybel_0 C _let_1) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 _let_1)))) (and (tptp.v2_waybel_0 (tptp.k4_yellow_3 A B C) A) (tptp.v2_waybel_0 (tptp.k5_yellow_3 A B C) B))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_orders_2 B) (tptp.l1_orders_2 B)) (forall ((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 B)))) (=> (tptp.v13_waybel_0 (tptp.k6_yellow_3 A B C D) (tptp.k3_yellow_3 A B)) (and (tptp.v13_waybel_0 C A) (tptp.v13_waybel_0 D B))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_orders_2 B) (tptp.l1_orders_2 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k3_yellow_3 A B))) (=> (and (not (tptp.v1_xboole_0 C)) (tptp.v13_waybel_0 C _let_1) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 _let_1)))) (and (tptp.v13_waybel_0 (tptp.k4_yellow_3 A B C) A) (tptp.v13_waybel_0 (tptp.k5_yellow_3 A B C) B))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_orders_2 B) (tptp.l1_orders_2 B)) (forall ((C $$unsorted)) (=> (and (not (tptp.v1_xboole_0 C)) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (forall ((D $$unsorted)) (=> (and (not (tptp.v1_xboole_0 D)) (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B)))) (=> (tptp.v12_waybel_0 (tptp.k6_yellow_3 A B C D) (tptp.k3_yellow_3 A B)) (and (tptp.v12_waybel_0 C A) (tptp.v12_waybel_0 D B))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_orders_2 B) (tptp.l1_orders_2 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k3_yellow_3 A B))) (=> (and (not (tptp.v1_xboole_0 C)) (tptp.v12_waybel_0 C _let_1) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 _let_1)))) (and (tptp.v12_waybel_0 (tptp.k4_yellow_3 A B C) A) (tptp.v12_waybel_0 (tptp.k5_yellow_3 A B C) B))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_orders_2 A) (= (tptp.v1_yellow_3 A) (tptp.v1_xboole_0 (tptp.u1_orders_2 A))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.l1_orders_2 B)) (forall ((C $$unsorted)) (=> (and (not (tptp.v1_xboole_0 C)) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (forall ((D $$unsorted)) (=> (and (not (tptp.v1_xboole_0 D)) (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B)))) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.u1_struct_0 A)) (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F (tptp.u1_struct_0 B)) (=> (tptp.r2_lattice3 (tptp.k3_yellow_3 A B) (tptp.k6_yellow_3 A B C D) (tptp.k7_yellow_3 A B E F)) (and (tptp.r2_lattice3 A C E) (tptp.r2_lattice3 B D F))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.l1_orders_2 B)) (forall ((C $$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.m1_subset_1 E (tptp.u1_struct_0 A)) (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F (tptp.u1_struct_0 B)) (=> (and (tptp.r2_lattice3 A C E) (tptp.r2_lattice3 B D F)) (tptp.r2_lattice3 (tptp.k3_yellow_3 A B) (tptp.k6_yellow_3 A B C D) (tptp.k7_yellow_3 A B E F))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.l1_orders_2 B)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 (tptp.k3_yellow_3 A B)))) (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)) (= (tptp.r2_lattice3 (tptp.k3_yellow_3 A B) C (tptp.k7_yellow_3 A B D E)) (and (tptp.r2_lattice3 A (tptp.k4_yellow_3 A B C) D) (tptp.r2_lattice3 B (tptp.k5_yellow_3 A B C) E))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.l1_orders_2 B)) (forall ((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 B)))) (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 B)) (=> (tptp.r1_lattice3 (tptp.k3_yellow_3 A B) (tptp.k6_yellow_3 A B C D) (tptp.k7_yellow_3 A B E F)) (and (tptp.r1_lattice3 A C E) (tptp.r1_lattice3 B D F))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.l1_orders_2 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 $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.u1_struct_0 A)) (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F (tptp.u1_struct_0 B)) (=> (and (tptp.r1_lattice3 A C E) (tptp.r1_lattice3 B D F)) (tptp.r1_lattice3 (tptp.k3_yellow_3 A B) (tptp.k6_yellow_3 A B C D) (tptp.k7_yellow_3 A B E F))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.l1_orders_2 B)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 (tptp.k3_yellow_3 A B)))) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.u1_struct_0 B)) (= (tptp.r1_lattice3 (tptp.k3_yellow_3 A B) C (tptp.k7_yellow_3 A B D E)) (and (tptp.r1_lattice3 A (tptp.k4_yellow_3 A B C) D) (tptp.r1_lattice3 B (tptp.k5_yellow_3 A B C) E))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v4_orders_2 B) (tptp.l1_orders_2 B)) (forall ((C $$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.m1_subset_1 E (tptp.u1_struct_0 A)) (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F (tptp.u1_struct_0 B)) (=> (and (tptp.r1_yellow_0 A C) (tptp.r1_yellow_0 B D) (forall ((G $$unsorted)) (let ((_let_1 (tptp.k3_yellow_3 A B))) (=> (tptp.m1_subset_1 G (tptp.u1_struct_0 _let_1)) (=> (tptp.r2_lattice3 _let_1 (tptp.k6_yellow_3 A B C D) G) (tptp.r1_orders_2 _let_1 (tptp.k7_yellow_3 A B E F) G)))))) (and (forall ((G $$unsorted)) (=> (tptp.m1_subset_1 G (tptp.u1_struct_0 A)) (=> (tptp.r2_lattice3 A C G) (tptp.r1_orders_2 A E G)))) (forall ((G $$unsorted)) (=> (tptp.m1_subset_1 G (tptp.u1_struct_0 B)) (=> (tptp.r2_lattice3 B D G) (tptp.r1_orders_2 B F G)))))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v4_orders_2 B) (tptp.l1_orders_2 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 $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.u1_struct_0 A)) (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F (tptp.u1_struct_0 B)) (=> (and (tptp.r2_yellow_0 A C) (tptp.r2_yellow_0 B D) (forall ((G $$unsorted)) (let ((_let_1 (tptp.k3_yellow_3 A B))) (=> (tptp.m1_subset_1 G (tptp.u1_struct_0 _let_1)) (=> (tptp.r1_lattice3 _let_1 (tptp.k6_yellow_3 A B C D) G) (tptp.r1_orders_2 _let_1 G (tptp.k7_yellow_3 A B E F))))))) (and (forall ((G $$unsorted)) (=> (tptp.m1_subset_1 G (tptp.u1_struct_0 A)) (=> (tptp.r1_lattice3 A C G) (tptp.r1_orders_2 A G E)))) (forall ((G $$unsorted)) (=> (tptp.m1_subset_1 G (tptp.u1_struct_0 B)) (=> (tptp.r1_lattice3 B D G) (tptp.r1_orders_2 B G F)))))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v4_orders_2 B) (tptp.l1_orders_2 B)) (forall ((C $$unsorted)) (=> (and (not (tptp.v1_xboole_0 C)) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (forall ((D $$unsorted)) (=> (and (not (tptp.v1_xboole_0 D)) (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B)))) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.u1_struct_0 A)) (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F (tptp.u1_struct_0 B)) (=> (and (forall ((G $$unsorted)) (=> (tptp.m1_subset_1 G (tptp.u1_struct_0 A)) (=> (tptp.r2_lattice3 A C G) (tptp.r1_orders_2 A E G)))) (forall ((G $$unsorted)) (=> (tptp.m1_subset_1 G (tptp.u1_struct_0 B)) (=> (tptp.r2_lattice3 B D G) (tptp.r1_orders_2 B F G))))) (forall ((G $$unsorted)) (let ((_let_1 (tptp.k3_yellow_3 A B))) (=> (tptp.m1_subset_1 G (tptp.u1_struct_0 _let_1)) (=> (tptp.r2_lattice3 _let_1 (tptp.k6_yellow_3 A B C D) G) (tptp.r1_orders_2 _let_1 (tptp.k7_yellow_3 A B E F) G)))))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v4_orders_2 B) (tptp.l1_orders_2 B)) (forall ((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 B)))) (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 B)) (=> (and (forall ((G $$unsorted)) (=> (tptp.m1_subset_1 G (tptp.u1_struct_0 A)) (=> (tptp.r2_lattice3 A C G) (tptp.r1_orders_2 A G E)))) (forall ((G $$unsorted)) (=> (tptp.m1_subset_1 G (tptp.u1_struct_0 B)) (=> (tptp.r2_lattice3 B D G) (tptp.r1_orders_2 B G F))))) (forall ((G $$unsorted)) (let ((_let_1 (tptp.k3_yellow_3 A B))) (=> (tptp.m1_subset_1 G (tptp.u1_struct_0 _let_1)) (=> (tptp.r2_lattice3 _let_1 (tptp.k6_yellow_3 A B C D) G) (tptp.r1_orders_2 _let_1 G (tptp.k7_yellow_3 A B E F))))))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v4_orders_2 B) (tptp.l1_orders_2 B)) (forall ((C $$unsorted)) (=> (and (not (tptp.v1_xboole_0 C)) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (forall ((D $$unsorted)) (=> (and (not (tptp.v1_xboole_0 D)) (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B)))) (= (and (tptp.r1_yellow_0 A C) (tptp.r1_yellow_0 B D)) (tptp.r1_yellow_0 (tptp.k3_yellow_3 A B) (tptp.k6_yellow_3 A B C D))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v4_orders_2 B) (tptp.l1_orders_2 B)) (forall ((C $$unsorted)) (=> (and (not (tptp.v1_xboole_0 C)) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (forall ((D $$unsorted)) (=> (and (not (tptp.v1_xboole_0 D)) (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B)))) (= (and (tptp.r2_yellow_0 A C) (tptp.r2_yellow_0 B D)) (tptp.r2_yellow_0 (tptp.k3_yellow_3 A B) (tptp.k6_yellow_3 A B C D))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v4_orders_2 B) (tptp.l1_orders_2 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k3_yellow_3 A B))) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 _let_1))) (= (and (tptp.r1_yellow_0 A (tptp.k4_yellow_3 A B C)) (tptp.r1_yellow_0 B (tptp.k5_yellow_3 A B C))) (tptp.r1_yellow_0 _let_1 C))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v4_orders_2 B) (tptp.l1_orders_2 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k3_yellow_3 A B))) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 _let_1))) (= (and (tptp.r2_yellow_0 A (tptp.k4_yellow_3 A B C)) (tptp.r2_yellow_0 B (tptp.k5_yellow_3 A B C))) (tptp.r2_yellow_0 _let_1 C))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v4_orders_2 B) (tptp.l1_orders_2 B)) (forall ((C $$unsorted)) (=> (and (not (tptp.v1_xboole_0 C)) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (forall ((D $$unsorted)) (=> (and (not (tptp.v1_xboole_0 D)) (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B)))) (=> (and (tptp.r1_yellow_0 A C) (tptp.r1_yellow_0 B D)) (= (tptp.k1_yellow_0 (tptp.k3_yellow_3 A B) (tptp.k6_yellow_3 A B C D)) (tptp.k7_yellow_3 A B (tptp.k1_yellow_0 A C) (tptp.k1_yellow_0 B D)))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v4_orders_2 B) (tptp.l1_orders_2 B)) (forall ((C $$unsorted)) (=> (and (not (tptp.v1_xboole_0 C)) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (forall ((D $$unsorted)) (=> (and (not (tptp.v1_xboole_0 D)) (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B)))) (=> (and (tptp.r2_yellow_0 A C) (tptp.r2_yellow_0 B D)) (= (tptp.k2_yellow_0 (tptp.k3_yellow_3 A B) (tptp.k6_yellow_3 A B C D)) (tptp.k7_yellow_3 A B (tptp.k2_yellow_0 A C) (tptp.k2_yellow_0 B D)))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_orders_2 A) (tptp.v1_yellow_0 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v4_orders_2 B) (tptp.v1_yellow_0 B) (tptp.l1_orders_2 B)) (=> (tptp.v3_lattice3 (tptp.k3_yellow_3 A B)) (and (tptp.v3_lattice3 A) (tptp.v3_lattice3 B))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v4_orders_2 B) (tptp.l1_orders_2 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k3_yellow_3 A B))) (=> (and (not (tptp.v1_xboole_0 C)) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 _let_1)))) (=> (or (tptp.v3_lattice3 _let_1) (tptp.r1_yellow_0 _let_1 C)) (= (tptp.k1_yellow_0 _let_1 C) (tptp.k7_yellow_3 A B (tptp.k1_yellow_0 A (tptp.k4_yellow_3 A B C)) (tptp.k1_yellow_0 B (tptp.k5_yellow_3 A B C)))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v4_orders_2 B) (tptp.l1_orders_2 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k3_yellow_3 A B))) (=> (and (not (tptp.v1_xboole_0 C)) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 _let_1)))) (=> (or (tptp.v3_lattice3 _let_1) (tptp.r2_yellow_0 _let_1 C)) (= (tptp.k2_yellow_0 _let_1 C) (tptp.k7_yellow_3 A B (tptp.k2_yellow_0 A (tptp.k4_yellow_3 A B C)) (tptp.k2_yellow_0 B (tptp.k5_yellow_3 A B C)))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_orders_2 B) (tptp.l1_orders_2 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k3_yellow_3 A B))) (=> (and (not (tptp.v1_xboole_0 C)) (tptp.v1_waybel_0 C _let_1) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 _let_1)))) (tptp.r1_tarski (tptp.k6_yellow_3 A B (tptp.k4_yellow_3 A B C) (tptp.k5_yellow_3 A B C)) (tptp.k4_waybel_0 _let_1 C))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_orders_2 B) (tptp.l1_orders_2 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k3_yellow_3 A B))) (=> (and (not (tptp.v1_xboole_0 C)) (tptp.v2_waybel_0 C _let_1) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 _let_1)))) (tptp.r1_tarski (tptp.k6_yellow_3 A B (tptp.k4_yellow_3 A B C) (tptp.k5_yellow_3 A B C)) (tptp.k5_waybel_0 _let_1 C))))))))) (=> (and (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.r2_hidden (tptp.k4_tarski A B) tptp.f1_s2_yellow_3) (tptp.p1_s2_yellow_3 A B))) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.r2_hidden (tptp.k4_tarski A B) tptp.f2_s2_yellow_3) (tptp.p1_s2_yellow_3 A B)))) (= tptp.f1_s2_yellow_3 tptp.f2_s2_yellow_3)) (=> (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A (tptp.u1_struct_0 tptp.f1_s7_yellow_3)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 tptp.f2_s7_yellow_3)) (tptp.m1_subset_1 (tptp.f4_s7_yellow_3 A B) (tptp.u1_struct_0 tptp.f3_s7_yellow_3)))))) (exists ((A $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 tptp.f3_s7_yellow_3))) (let ((_let_2 (tptp.u1_struct_0 (tptp.k3_yellow_3 tptp.f1_s7_yellow_3 tptp.f2_s7_yellow_3)))) (and (tptp.v1_funct_1 A) (tptp.v1_funct_2 A _let_2 _let_1) (tptp.m2_relset_1 A _let_2 _let_1) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 tptp.f1_s7_yellow_3)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 tptp.f2_s7_yellow_3)) (= (tptp.k1_waybel_0 (tptp.k3_yellow_3 tptp.f1_s7_yellow_3 tptp.f2_s7_yellow_3) tptp.f3_s7_yellow_3 A (tptp.k7_yellow_3 tptp.f1_s7_yellow_3 tptp.f2_s7_yellow_3 B C)) (tptp.f4_s7_yellow_3 B C))))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_relat_1 B)) (tptp.v1_relat_1 (tptp.k1_yellow_3 A B)))) (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.k2_yellow_3 A B C D E F) (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)) (=> (and (tptp.m1_relset_1 E A B) (tptp.m1_relset_1 F C D)) (= (tptp.k2_yellow_3 A B C D E F) (tptp.k1_yellow_3 E F)))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k3_yellow_3 A B))) (=> (and (tptp.l1_orders_2 A) (tptp.l1_orders_2 B)) (and (tptp.v1_orders_2 _let_1) (tptp.l1_orders_2 _let_1))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.l1_orders_2 A) (tptp.l1_orders_2 B) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 (tptp.k3_yellow_3 A B))))) (tptp.m1_subset_1 (tptp.k4_yellow_3 A B C) (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.l1_orders_2 A) (tptp.l1_orders_2 B) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 (tptp.k3_yellow_3 A B))))) (= (tptp.k4_yellow_3 A B C) (tptp.k1_funct_5 C)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.l1_orders_2 A) (tptp.l1_orders_2 B) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 (tptp.k3_yellow_3 A B))))) (tptp.m1_subset_1 (tptp.k5_yellow_3 A B C) (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.l1_orders_2 A) (tptp.l1_orders_2 B) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 (tptp.k3_yellow_3 A B))))) (= (tptp.k5_yellow_3 A B C) (tptp.k2_funct_5 C)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.l1_orders_2 A) (tptp.l1_orders_2 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.k6_yellow_3 A B C D) (tptp.k1_zfmisc_1 (tptp.u1_struct_0 (tptp.k3_yellow_3 A B)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.l1_orders_2 A) (tptp.l1_orders_2 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.k6_yellow_3 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.l1_orders_2 A) (not (tptp.v3_struct_0 B)) (tptp.l1_orders_2 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.k7_yellow_3 A B C D) (tptp.u1_struct_0 (tptp.k3_yellow_3 A B))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A) (not (tptp.v3_struct_0 B)) (tptp.l1_orders_2 B) (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (tptp.m1_subset_1 D (tptp.u1_struct_0 B))) (= (tptp.k7_yellow_3 A B C D) (tptp.k4_tarski C D)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A) (not (tptp.v3_struct_0 B)) (tptp.l1_orders_2 B) (tptp.m1_subset_1 C (tptp.u1_struct_0 (tptp.k3_yellow_3 A B)))) (tptp.m1_subset_1 (tptp.k8_yellow_3 A B C) (tptp.u1_struct_0 A)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A) (not (tptp.v3_struct_0 B)) (tptp.l1_orders_2 B) (tptp.m1_subset_1 C (tptp.u1_struct_0 (tptp.k3_yellow_3 A B)))) (= (tptp.k8_yellow_3 A B C) (tptp.k1_mcart_1 C)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A) (not (tptp.v3_struct_0 B)) (tptp.l1_orders_2 B) (tptp.m1_subset_1 C (tptp.u1_struct_0 (tptp.k3_yellow_3 A B)))) (tptp.m1_subset_1 (tptp.k9_yellow_3 A B C) (tptp.u1_struct_0 B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A) (not (tptp.v3_struct_0 B)) (tptp.l1_orders_2 B) (tptp.m1_subset_1 C (tptp.u1_struct_0 (tptp.k3_yellow_3 A B)))) (= (tptp.k9_yellow_3 A B C) (tptp.k2_mcart_1 C)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k3_yellow_3 A B))) (let ((_let_2 (tptp.k10_yellow_3 A B C D))) (=> (and (tptp.l1_orders_2 A) (tptp.l1_orders_2 B) (tptp.v1_waybel_0 C A) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (tptp.v1_waybel_0 D B) (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B)))) (and (tptp.v1_waybel_0 _let_2 _let_1) (tptp.m1_subset_1 _let_2 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 _let_1)))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.l1_orders_2 A) (tptp.l1_orders_2 B) (tptp.v1_waybel_0 C A) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (tptp.v1_waybel_0 D B) (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B)))) (= (tptp.k10_yellow_3 A B C D) (tptp.k2_zfmisc_1 C D)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k3_yellow_3 A B))) (let ((_let_2 (tptp.k11_yellow_3 A B C D))) (=> (and (tptp.l1_orders_2 A) (tptp.l1_orders_2 B) (tptp.v2_waybel_0 C A) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (tptp.v2_waybel_0 D B) (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B)))) (and (tptp.v2_waybel_0 _let_2 _let_1) (tptp.m1_subset_1 _let_2 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 _let_1)))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.l1_orders_2 A) (tptp.l1_orders_2 B) (tptp.v2_waybel_0 C A) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (tptp.v2_waybel_0 D B) (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B)))) (= (tptp.k11_yellow_3 A B C D) (tptp.k2_zfmisc_1 C D)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k3_yellow_3 A B))) (let ((_let_2 (tptp.k12_yellow_3 A B C D))) (=> (and (tptp.l1_orders_2 A) (tptp.l1_orders_2 B) (tptp.v13_waybel_0 C A) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (tptp.v13_waybel_0 D B) (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B)))) (and (tptp.v13_waybel_0 _let_2 _let_1) (tptp.m1_subset_1 _let_2 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 _let_1)))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.l1_orders_2 A) (tptp.l1_orders_2 B) (tptp.v13_waybel_0 C A) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (tptp.v13_waybel_0 D B) (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B)))) (= (tptp.k12_yellow_3 A B C D) (tptp.k2_zfmisc_1 C D)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k3_yellow_3 A B))) (let ((_let_2 (tptp.k13_yellow_3 A B C D))) (=> (and (tptp.l1_orders_2 A) (tptp.l1_orders_2 B) (tptp.v12_waybel_0 C A) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (tptp.v12_waybel_0 D B) (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B)))) (and (tptp.v12_waybel_0 _let_2 _let_1) (tptp.m1_subset_1 _let_2 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 _let_1)))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.l1_orders_2 A) (tptp.l1_orders_2 B) (tptp.v12_waybel_0 C A) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (tptp.v12_waybel_0 D B) (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B)))) (= (tptp.k13_yellow_3 A B C D) (tptp.k2_zfmisc_1 C D)))) (=> (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.f1_s1_yellow_3) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.f1_s1_yellow_3) (tptp.r2_hidden (tptp.f2_s1_yellow_3 A B) tptp.f1_s1_yellow_3))))) (tptp.m1_subset_1 tptp.a_0_0_yellow_3 (tptp.k1_zfmisc_1 tptp.f1_s1_yellow_3))) (tptp.r1_orders_2 tptp.f1_s3_yellow_3 (tptp.k2_yellow_0 tptp.f1_s3_yellow_3 (tptp.k3_tarski tptp.a_0_1_yellow_3)) (tptp.k2_yellow_0 tptp.f1_s3_yellow_3 tptp.a_0_2_yellow_3)) (= (tptp.k2_yellow_0 tptp.f1_s4_yellow_3 tptp.a_0_3_yellow_3) (tptp.k2_yellow_0 tptp.f1_s4_yellow_3 (tptp.k3_tarski tptp.a_0_4_yellow_3))) (tptp.r1_orders_2 tptp.f1_s5_yellow_3 (tptp.k1_yellow_0 tptp.f1_s5_yellow_3 tptp.a_0_5_yellow_3) (tptp.k1_yellow_0 tptp.f1_s5_yellow_3 (tptp.k3_tarski tptp.a_0_6_yellow_3))) (= (tptp.k1_yellow_0 tptp.f1_s6_yellow_3 tptp.a_0_7_yellow_3) (tptp.k1_yellow_0 tptp.f1_s6_yellow_3 (tptp.k3_tarski tptp.a_0_8_yellow_3))) (forall ((A $$unsorted)) (= (tptp.r2_hidden A tptp.a_0_0_yellow_3) (exists ((B $$unsorted) (C $$unsorted)) (and (tptp.m1_subset_1 B tptp.f1_s1_yellow_3) (tptp.m1_subset_1 C tptp.f1_s1_yellow_3) (= A (tptp.f2_s1_yellow_3 B C)) (tptp.p1_s1_yellow_3 B C))))) (forall ((A $$unsorted)) (= (tptp.r2_hidden A tptp.a_0_1_yellow_3) (exists ((B $$unsorted)) (and (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 tptp.f1_s3_yellow_3))) (= A B) (tptp.p1_s3_yellow_3 B))))) (forall ((A $$unsorted)) (= (tptp.r2_hidden A tptp.a_0_2_yellow_3) (exists ((B $$unsorted)) (and (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 tptp.f1_s3_yellow_3))) (= A (tptp.k2_yellow_0 tptp.f1_s3_yellow_3 B)) (tptp.p1_s3_yellow_3 B))))) (forall ((A $$unsorted)) (= (tptp.r2_hidden A tptp.a_0_3_yellow_3) (exists ((B $$unsorted)) (and (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 tptp.f1_s4_yellow_3))) (= A (tptp.k2_yellow_0 tptp.f1_s4_yellow_3 B)) (tptp.p1_s4_yellow_3 B))))) (forall ((A $$unsorted)) (= (tptp.r2_hidden A tptp.a_0_4_yellow_3) (exists ((B $$unsorted)) (and (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 tptp.f1_s4_yellow_3))) (= A B) (tptp.p1_s4_yellow_3 B))))) (forall ((A $$unsorted)) (= (tptp.r2_hidden A tptp.a_0_5_yellow_3) (exists ((B $$unsorted)) (and (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 tptp.f1_s5_yellow_3))) (= A (tptp.k1_yellow_0 tptp.f1_s5_yellow_3 B)) (tptp.p1_s5_yellow_3 B))))) (forall ((A $$unsorted)) (= (tptp.r2_hidden A tptp.a_0_6_yellow_3) (exists ((B $$unsorted)) (and (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 tptp.f1_s5_yellow_3))) (= A B) (tptp.p1_s5_yellow_3 B))))) (forall ((A $$unsorted)) (= (tptp.r2_hidden A tptp.a_0_7_yellow_3) (exists ((B $$unsorted)) (and (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 tptp.f1_s6_yellow_3))) (= A (tptp.k1_yellow_0 tptp.f1_s6_yellow_3 B)) (tptp.p1_s6_yellow_3 B))))) (forall ((A $$unsorted)) (= (tptp.r2_hidden A tptp.a_0_8_yellow_3) (exists ((B $$unsorted)) (and (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 tptp.f1_s6_yellow_3))) (= A B) (tptp.p1_s6_yellow_3 B))))) (forall ((A $$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.l1_orders_2 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.k1_yellow_4 A B C)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (=> (and (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.l1_orders_2 A) (tptp.v1_waybel_0 B A) (tptp.m1_subset_1 B _let_1) (tptp.v1_waybel_0 C A) (tptp.m1_subset_1 C _let_1)) (tptp.v1_waybel_0 (tptp.k1_yellow_4 A B C) A)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (=> (and (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.l1_orders_2 A) (tptp.v2_waybel_0 B A) (tptp.m1_subset_1 B _let_1) (tptp.v2_waybel_0 C A) (tptp.m1_subset_1 C _let_1)) (tptp.v2_waybel_0 (tptp.k1_yellow_4 A B C) A)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.l1_orders_2 A) (tptp.v13_waybel_0 B A) (tptp.m1_subset_1 B _let_1) (tptp.v13_waybel_0 C A) (tptp.m1_subset_1 C _let_1)) (tptp.v13_waybel_0 (tptp.k1_yellow_4 A B C) A)))) (forall ((A $$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.l1_orders_2 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.k3_yellow_4 A B C)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (=> (and (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 A) (tptp.v1_waybel_0 B A) (tptp.m1_subset_1 B _let_1) (tptp.v1_waybel_0 C A) (tptp.m1_subset_1 C _let_1)) (tptp.v1_waybel_0 (tptp.k3_yellow_4 A B C) A)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (=> (and (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 A) (tptp.v2_waybel_0 B A) (tptp.m1_subset_1 B _let_1) (tptp.v2_waybel_0 C A) (tptp.m1_subset_1 C _let_1)) (tptp.v2_waybel_0 (tptp.k3_yellow_4 A B C) A)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 A) (tptp.v12_waybel_0 B A) (tptp.m1_subset_1 B _let_1) (tptp.v12_waybel_0 C A) (tptp.m1_subset_1 C _let_1)) (tptp.v12_waybel_0 (tptp.k3_yellow_4 A B C) A)))) (forall ((A $$unsorted)) (=> (tptp.l1_orders_2 A) (forall ((B $$unsorted) (C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (=> (and (tptp.r2_hidden C B) (tptp.r1_yellow_0 A B)) (tptp.r1_orders_2 A C (tptp.k1_yellow_0 A B))))))) (forall ((A $$unsorted)) (=> (tptp.l1_orders_2 A) (forall ((B $$unsorted) (C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (=> (and (tptp.r2_hidden C B) (tptp.r2_yellow_0 A B)) (tptp.r1_orders_2 A (tptp.k2_yellow_0 A B) C)))))) (forall ((A $$unsorted)) (=> (tptp.l1_orders_2 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_yellow_4 A B C) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (not (and (tptp.r2_hidden D B) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.u1_struct_0 A)) (not (and (tptp.r2_hidden E C) (tptp.r1_orders_2 A D E)))))))))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_orders_2 A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (tptp.r2_yellow_4 A B C) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (not (and (tptp.r2_hidden D C) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.u1_struct_0 A)) (not (and (tptp.r2_hidden E B) (tptp.r1_orders_2 A E D)))))))))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_orders_2 A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (tptp.r1_yellow_4 A (tptp.k1_pre_topc A) B))))) (forall ((A $$unsorted)) (=> (and (tptp.v3_orders_2 A) (tptp.l1_orders_2 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 $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (and (tptp.r1_yellow_4 A B C) (tptp.r1_yellow_4 A C D)) (tptp.r1_yellow_4 A B D)))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_orders_2 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.r1_yellow_4 A C B) (tptp.v12_waybel_0 B A)) (tptp.r1_tarski C B)))))))) (forall ((A $$unsorted)) (=> (tptp.l1_orders_2 A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (tptp.r2_yellow_4 A B (tptp.k1_pre_topc A)))))) (forall ((A $$unsorted)) (=> (and (tptp.v3_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$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.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (and (tptp.r2_yellow_4 A C D) (tptp.r2_yellow_4 A B C)) (tptp.r2_yellow_4 A B D)))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_orders_2 A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (and (tptp.r2_yellow_4 A C B) (tptp.v13_waybel_0 C A)) (tptp.r1_tarski B C)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (tptp.k1_yellow_4 A B (tptp.k1_pre_topc A)) tptp.k1_xboole_0))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 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 $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.u1_struct_0 A)) (=> (and (tptp.r2_hidden D B) (tptp.r2_hidden E C)) (tptp.r2_hidden (tptp.k10_lattice3 A D E) (tptp.k1_yellow_4 A B C))))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (=> (and (not (tptp.v1_xboole_0 C)) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (tptp.r1_yellow_4 A B (tptp.k2_yellow_4 A B C)))))))) (forall ((A $$unsorted)) (=> (and (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.l1_orders_2 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.r2_yellow_4 A B (tptp.k2_yellow_4 A B C)))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (tptp.r1_tarski B (tptp.k2_yellow_4 A B B)))))) (forall ((A $$unsorted)) (=> (and (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$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.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (tptp.k2_yellow_4 A (tptp.k2_yellow_4 A B C) D) (tptp.k2_yellow_4 A B (tptp.k2_yellow_4 A C D))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (forall ((B $$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.u1_struct_0 A))) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 _let_1)) (= (tptp.k1_yellow_4 A B (tptp.k4_subset_1 _let_1 C D)) (tptp.k4_subset_1 _let_1 (tptp.k1_yellow_4 A B C) (tptp.k1_yellow_4 A B D)))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$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.u1_struct_0 A))) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 _let_1)) (tptp.r1_tarski (tptp.k4_subset_1 _let_1 B (tptp.k2_yellow_4 A C D)) (tptp.k2_yellow_4 A (tptp.k4_subset_1 _let_1 B C) (tptp.k4_subset_1 _let_1 B D)))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (tptp.v13_waybel_0 B A) (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.u1_struct_0 A))) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 _let_1)) (tptp.r1_tarski (tptp.k2_yellow_4 A (tptp.k4_subset_1 _let_1 B C) (tptp.k4_subset_1 _let_1 B D)) (tptp.k4_subset_1 _let_1 B (tptp.k2_yellow_4 A C D)))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (tptp.k1_yellow_4 A (tptp.k1_struct_0 A B) (tptp.k1_struct_0 A C)) (tptp.k1_struct_0 A (tptp.k10_lattice3 A B C))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 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 $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (= (tptp.k1_yellow_4 A (tptp.k1_struct_0 A B) (tptp.k2_struct_0 A C D)) (tptp.k2_struct_0 A (tptp.k10_lattice3 A B C) (tptp.k10_lattice3 A B D))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 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 $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (and (tptp.r1_tarski B D) (tptp.r1_tarski C E)) (tptp.r1_tarski (tptp.k1_yellow_4 A B C) (tptp.k1_yellow_4 A D E))))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (=> (tptp.r1_lattice3 A B C) (= (tptp.k2_yellow_4 A (tptp.k1_struct_0 A C) B) B)))))))) (forall ((A $$unsorted)) (=> (and (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.l1_orders_2 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.r1_lattice3 A (tptp.k2_yellow_4 A (tptp.k1_struct_0 A C) B) C))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k2_yellow_4 A (tptp.k1_struct_0 A C) B))) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (=> (and (tptp.r2_yellow_0 A _let_1) (tptp.r2_yellow_0 A B)) (tptp.r3_orders_2 A (tptp.k13_lattice3 A C (tptp.k2_yellow_0 A B)) (tptp.k2_yellow_0 A _let_1)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v3_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (=> (and (not (tptp.v1_xboole_0 C)) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (tptp.r2_lattice3 A B (tptp.k1_yellow_0 A (tptp.k2_yellow_4 A B C))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$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.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (and (tptp.r1_lattice3 A D B) (tptp.r1_lattice3 A E C)) (tptp.r1_lattice3 A (tptp.k2_yellow_4 A D E) (tptp.k13_lattice3 A B C))))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.l1_orders_2 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 $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (and (tptp.r2_lattice3 A D B) (tptp.r2_lattice3 A E C)) (tptp.r2_lattice3 A (tptp.k2_yellow_4 A D E) (tptp.k13_lattice3 A B C))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v3_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (forall ((C $$unsorted)) (=> (and (not (tptp.v1_xboole_0 C)) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (= (tptp.k1_yellow_0 A (tptp.k2_yellow_4 A B C)) (tptp.k13_lattice3 A (tptp.k1_yellow_0 A B) (tptp.k1_yellow_0 A C))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$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 (tptp.k4_waybel_0 A (tptp.k2_yellow_4 A B C))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 (tptp.k2_yellow_1 (tptp.k8_waybel_0 A)))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 (tptp.k2_yellow_1 (tptp.k8_waybel_0 A)))) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (and (= B D) (= C E)) (= (tptp.k13_lattice3 (tptp.k2_yellow_1 (tptp.k8_waybel_0 A)) B C) (tptp.k4_waybel_0 A (tptp.k2_yellow_4 A D E)))))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.l1_orders_2 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 (tptp.k4_waybel_0 A (tptp.k2_yellow_4 A (tptp.k4_waybel_0 A B) (tptp.k4_waybel_0 A C))) (tptp.k4_waybel_0 A (tptp.k2_yellow_4 A B C))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (tptp.k4_waybel_0 A (tptp.k2_yellow_4 A (tptp.k4_waybel_0 A B) (tptp.k4_waybel_0 A C))) (tptp.k4_waybel_0 A (tptp.k2_yellow_4 A B C))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.l1_orders_2 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 (tptp.k5_waybel_0 A (tptp.k2_yellow_4 A (tptp.k5_waybel_0 A B) (tptp.k5_waybel_0 A C))) (tptp.k5_waybel_0 A (tptp.k2_yellow_4 A B C))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (tptp.k5_waybel_0 A (tptp.k2_yellow_4 A (tptp.k5_waybel_0 A B) (tptp.k5_waybel_0 A C))) (tptp.k5_waybel_0 A (tptp.k2_yellow_4 A B C))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (tptp.k3_yellow_4 A B (tptp.k1_pre_topc A)) tptp.k1_xboole_0))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 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 $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.u1_struct_0 A)) (=> (and (tptp.r2_hidden D B) (tptp.r2_hidden E C)) (tptp.r2_hidden (tptp.k11_lattice3 A D E) (tptp.k3_yellow_4 A B C))))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v4_orders_2 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (=> (and (not (tptp.v1_xboole_0 C)) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (tptp.r2_yellow_4 A (tptp.k4_yellow_4 A B C) B))))))) (forall ((A $$unsorted)) (=> (and (tptp.v4_orders_2 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 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_yellow_4 A (tptp.k4_yellow_4 A B C) B))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v4_orders_2 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (tptp.r1_tarski B (tptp.k4_yellow_4 A B B)))))) (forall ((A $$unsorted)) (=> (and (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$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.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (tptp.k4_yellow_4 A (tptp.k4_yellow_4 A B C) D) (tptp.k4_yellow_4 A B (tptp.k4_yellow_4 A C D))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (forall ((B $$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.u1_struct_0 A))) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 _let_1)) (= (tptp.k3_yellow_4 A B (tptp.k4_subset_1 _let_1 C D)) (tptp.k4_subset_1 _let_1 (tptp.k3_yellow_4 A B C) (tptp.k3_yellow_4 A B D)))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v4_orders_2 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$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.u1_struct_0 A))) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 _let_1)) (tptp.r1_tarski (tptp.k4_subset_1 _let_1 B (tptp.k4_yellow_4 A C D)) (tptp.k4_yellow_4 A (tptp.k4_subset_1 _let_1 B C) (tptp.k4_subset_1 _let_1 B D)))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v4_orders_2 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (tptp.v12_waybel_0 B A) (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.u1_struct_0 A))) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 _let_1)) (tptp.r1_tarski (tptp.k4_yellow_4 A (tptp.k4_subset_1 _let_1 B C) (tptp.k4_subset_1 _let_1 B D)) (tptp.k4_subset_1 _let_1 B (tptp.k4_yellow_4 A C D)))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (tptp.k3_yellow_4 A (tptp.k1_struct_0 A B) (tptp.k1_struct_0 A C)) (tptp.k1_struct_0 A (tptp.k11_lattice3 A B C))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 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 $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (= (tptp.k3_yellow_4 A (tptp.k1_struct_0 A B) (tptp.k2_struct_0 A C D)) (tptp.k2_struct_0 A (tptp.k11_lattice3 A B C) (tptp.k11_lattice3 A B D))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 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 $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (and (tptp.r1_tarski B D) (tptp.r1_tarski C E)) (tptp.r1_tarski (tptp.k3_yellow_4 A B C) (tptp.k3_yellow_4 A D E))))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v4_orders_2 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 _let_1)) (tptp.r1_tarski (tptp.k5_subset_1 _let_1 B C) (tptp.k4_yellow_4 A B C))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v4_orders_2 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (tptp.v12_waybel_0 B A) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (tptp.v12_waybel_0 C A) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 _let_1))) (= (tptp.k4_yellow_4 A B C) (tptp.k5_subset_1 _let_1 B C))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v4_orders_2 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (=> (tptp.r2_lattice3 A B C) (= (tptp.k4_yellow_4 A (tptp.k1_struct_0 A C) B) B)))))))) (forall ((A $$unsorted)) (=> (and (tptp.v4_orders_2 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 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_lattice3 A (tptp.k4_yellow_4 A (tptp.k1_struct_0 A C) B) C))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k4_yellow_4 A (tptp.k1_struct_0 A C) B))) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (=> (and (tptp.r1_yellow_0 A _let_1) (tptp.r1_yellow_0 A B)) (tptp.r3_orders_2 A (tptp.k1_yellow_0 A _let_1) (tptp.k12_lattice3 A C (tptp.k1_yellow_0 A B))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v3_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (=> (and (not (tptp.v1_xboole_0 C)) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (tptp.r1_lattice3 A B (tptp.k2_yellow_0 A (tptp.k4_yellow_4 A B C))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$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.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (and (tptp.r1_lattice3 A D B) (tptp.r1_lattice3 A E C)) (tptp.r1_lattice3 A (tptp.k4_yellow_4 A D E) (tptp.k12_lattice3 A B C))))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 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 $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (and (tptp.r2_lattice3 A D B) (tptp.r2_lattice3 A E C)) (tptp.r2_lattice3 A (tptp.k4_yellow_4 A D E) (tptp.k12_lattice3 A B C))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v3_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (forall ((C $$unsorted)) (=> (and (not (tptp.v1_xboole_0 C)) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (= (tptp.k2_yellow_0 A (tptp.k4_yellow_4 A B C)) (tptp.k12_lattice3 A (tptp.k2_yellow_0 A B) (tptp.k2_yellow_0 A C))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 (tptp.k2_yellow_1 (tptp.k8_waybel_0 A)))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 (tptp.k2_yellow_1 (tptp.k8_waybel_0 A)))) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (and (= B D) (= C E)) (= (tptp.k12_lattice3 (tptp.k2_yellow_1 (tptp.k8_waybel_0 A)) B C) (tptp.k4_yellow_4 A D E))))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v4_orders_2 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (=> (and (not (tptp.v1_xboole_0 C)) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (tptp.r1_tarski B (tptp.k5_waybel_0 A (tptp.k4_yellow_4 A B C))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 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 (tptp.k4_waybel_0 A (tptp.k4_yellow_4 A (tptp.k4_waybel_0 A B) (tptp.k4_waybel_0 A C))) (tptp.k4_waybel_0 A (tptp.k4_yellow_4 A B C))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (tptp.k4_waybel_0 A (tptp.k4_yellow_4 A (tptp.k4_waybel_0 A B) (tptp.k4_waybel_0 A C))) (tptp.k4_waybel_0 A (tptp.k4_yellow_4 A B C))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 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 (tptp.k5_waybel_0 A (tptp.k4_yellow_4 A (tptp.k5_waybel_0 A B) (tptp.k5_waybel_0 A C))) (tptp.k5_waybel_0 A (tptp.k4_yellow_4 A B C))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (tptp.k5_waybel_0 A (tptp.k4_yellow_4 A (tptp.k5_waybel_0 A B) (tptp.k5_waybel_0 A C))) (tptp.k5_waybel_0 A (tptp.k4_yellow_4 A B C))))))))) (forall ((A $$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.v2_orders_2 A) (tptp.l1_orders_2 A) (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (tptp.r3_yellow_4 A B B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.l1_orders_2 A) (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (= (tptp.r3_yellow_4 A B C) (tptp.r1_yellow_4 A B C))))) (forall ((A $$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.v2_orders_2 A) (tptp.l1_orders_2 A) (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (tptp.r4_yellow_4 A C C)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.l1_orders_2 A) (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (= (tptp.r4_yellow_4 A B C) (tptp.r2_yellow_4 A B C))))) (forall ((A $$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.l1_orders_2 A) (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (tptp.m1_subset_1 (tptp.k1_yellow_4 A B C) _let_1)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (=> (and (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.l1_orders_2 A) (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (tptp.m1_subset_1 (tptp.k2_yellow_4 A B C) _let_1)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (=> (and (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.l1_orders_2 A) (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (= (tptp.k2_yellow_4 A B C) (tptp.k2_yellow_4 A C B))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (=> (and (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.l1_orders_2 A) (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (= (tptp.k2_yellow_4 A B C) (tptp.k1_yellow_4 A B C))))) (forall ((A $$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.l1_orders_2 A) (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (tptp.m1_subset_1 (tptp.k3_yellow_4 A B C) _let_1)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (=> (and (tptp.v4_orders_2 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 A) (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (tptp.m1_subset_1 (tptp.k4_yellow_4 A B C) _let_1)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (=> (and (tptp.v4_orders_2 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 A) (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (= (tptp.k4_yellow_4 A B C) (tptp.k4_yellow_4 A C B))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (=> (and (tptp.v4_orders_2 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 A) (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (= (tptp.k4_yellow_4 A B C) (tptp.k3_yellow_4 A B C))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 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.k1_yellow_4 A B C) (tptp.a_3_0_yellow_4 A B C)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (tptp.k1_yellow_4 A (tptp.k1_struct_0 A C) B) (tptp.a_3_1_yellow_4 A B C)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 (tptp.k3_yellow_3 A A)))) (= (tptp.k3_tarski (tptp.a_2_0_yellow_4 A B)) (tptp.k1_yellow_4 A (tptp.k4_yellow_3 A A B) (tptp.k5_yellow_3 A A B))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 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.k3_yellow_4 A B C) (tptp.a_3_2_yellow_4 A B C)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (tptp.k3_yellow_4 A (tptp.k1_struct_0 A C) B) (tptp.a_3_3_yellow_4 A B C)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 (tptp.k3_yellow_3 A A)))) (= (tptp.k3_tarski (tptp.a_2_1_yellow_4 A B)) (tptp.k3_yellow_4 A (tptp.k4_yellow_3 A A B) (tptp.k5_yellow_3 A A B))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B)))) (=> (and (not (tptp.v3_struct_0 B)) (tptp.l1_orders_2 B) (tptp.m1_subset_1 C _let_1) (tptp.m1_subset_1 D _let_1)) (= (tptp.r2_hidden A (tptp.a_3_0_yellow_4 B C D)) (exists ((E $$unsorted) (F $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (and (tptp.m1_subset_1 E _let_1) (tptp.m1_subset_1 F _let_1) (= A (tptp.k10_lattice3 B E F)) (tptp.r2_hidden E C) (tptp.r2_hidden F D)))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (=> (and (not (tptp.v3_struct_0 B)) (tptp.l1_orders_2 B) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 _let_1)) (tptp.m1_subset_1 D _let_1)) (= (tptp.r2_hidden A (tptp.a_3_1_yellow_4 B C D)) (exists ((E $$unsorted)) (and (tptp.m1_subset_1 E (tptp.u1_struct_0 B)) (= A (tptp.k10_lattice3 B D E)) (tptp.r2_hidden E C))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.l1_orders_2 B) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 (tptp.k3_yellow_3 B B))))) (= (tptp.r2_hidden A (tptp.a_2_0_yellow_4 B C)) (exists ((D $$unsorted)) (and (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B))) (= A D) (exists ((E $$unsorted)) (and (tptp.m1_subset_1 E (tptp.u1_struct_0 B)) (= D (tptp.k1_yellow_4 B (tptp.k1_struct_0 B E) (tptp.k5_yellow_3 B B C))) (tptp.r2_hidden E (tptp.k4_yellow_3 B B C))))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B)))) (=> (and (not (tptp.v3_struct_0 B)) (tptp.l1_orders_2 B) (tptp.m1_subset_1 C _let_1) (tptp.m1_subset_1 D _let_1)) (= (tptp.r2_hidden A (tptp.a_3_2_yellow_4 B C D)) (exists ((E $$unsorted) (F $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (and (tptp.m1_subset_1 E _let_1) (tptp.m1_subset_1 F _let_1) (= A (tptp.k11_lattice3 B E F)) (tptp.r2_hidden E C) (tptp.r2_hidden F D)))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (=> (and (not (tptp.v3_struct_0 B)) (tptp.l1_orders_2 B) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 _let_1)) (tptp.m1_subset_1 D _let_1)) (= (tptp.r2_hidden A (tptp.a_3_3_yellow_4 B C D)) (exists ((E $$unsorted)) (and (tptp.m1_subset_1 E (tptp.u1_struct_0 B)) (= A (tptp.k11_lattice3 B D E)) (tptp.r2_hidden E C))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.l1_orders_2 B) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 (tptp.k3_yellow_3 B B))))) (= (tptp.r2_hidden A (tptp.a_2_1_yellow_4 B C)) (exists ((D $$unsorted)) (and (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B))) (= A D) (exists ((E $$unsorted)) (and (tptp.m1_subset_1 E (tptp.u1_struct_0 B)) (= D (tptp.k3_yellow_4 B (tptp.k1_struct_0 B E) (tptp.k5_yellow_3 B B C))) (tptp.r2_hidden E (tptp.k4_yellow_3 B B C))))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (not (tptp.v1_xboole_0 B)) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C A B) (tptp.m1_relset_1 C A B) (not (tptp.v1_xboole_0 D)) (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 A))) (not (tptp.v1_xboole_0 (tptp.k9_relat_1 C D))))) (forall ((A $$unsorted)) (let ((_let_1 (not (tptp.v3_struct_0 A)))) (=> (tptp.l1_orders_2 A) (=> (and _let_1 (tptp.v2_orders_2 A) (tptp.v16_waybel_0 A)) (and _let_1 (tptp.v1_lattice3 A) (tptp.v2_lattice3 A)))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k2_pre_topc A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v16_waybel_0 A) (tptp.l1_orders_2 A)) (and (not (tptp.v1_xboole_0 _let_1)) (tptp.v1_waybel_0 _let_1 A) (tptp.v2_waybel_0 _let_1 A) (tptp.v12_waybel_0 _let_1 A) (tptp.v13_waybel_0 _let_1 A))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k3_yellow_3 A B))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v24_waybel_0 A) (tptp.l1_orders_2 A) (not (tptp.v3_struct_0 B)) (tptp.v2_orders_2 B) (tptp.v24_waybel_0 B) (tptp.l1_orders_2 B)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v1_orders_2 _let_1) (tptp.v2_orders_2 _let_1) (tptp.v24_waybel_0 _let_1) (not (tptp.v1_yellow_3 _let_1)))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.v2_orders_2 A))) (let ((_let_2 (not (tptp.v3_struct_0 A)))) (=> (tptp.l1_orders_2 A) (=> (and _let_2 _let_1 (tptp.v3_realset2 A)) (and _let_2 _let_1 (not (tptp.v1_yellow_3 A)) (tptp.v2_waybel_1 A) (tptp.v10_waybel_1 A))))))) (exists ((A $$unsorted)) (and (tptp.l1_orders_2 A) (not (tptp.v3_struct_0 A)) (tptp.v1_orders_2 A) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_yellow_0 A) (tptp.v2_yellow_0 A) (tptp.v3_yellow_0 A) (tptp.v16_waybel_0 A) (tptp.v24_waybel_0 A) (tptp.v25_waybel_0 A) (not (tptp.v1_yellow_3 A)) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_lattice3 A) (tptp.v2_waybel_1 A) (tptp.v9_waybel_1 A) (tptp.v10_waybel_1 A) (tptp.v11_waybel_1 A) (tptp.v3_realset2 A))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k2_waybel_2 A B C))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v4_orders_2 A) (tptp.v3_lattice3 A) (tptp.l1_orders_2 A) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C B _let_2) (tptp.m1_relset_1 C B _let_2)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v7_waybel_0 _let_1) (tptp.v8_waybel_0 _let_1 A) (tptp.v10_waybel_0 _let_1 A)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k3_waybel_2 A B C))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A) (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (not (tptp.v3_struct_0 C)) (tptp.l1_waybel_0 C A)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v6_waybel_0 _let_1 A))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k3_waybel_2 A B C))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A) (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (not (tptp.v3_struct_0 C)) (tptp.v7_waybel_0 C) (tptp.l1_waybel_0 C A)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v6_waybel_0 _let_1 A) (tptp.v7_waybel_0 _let_1))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.k3_yellow_3 A A))) (let ((_let_3 (tptp.u1_struct_0 _let_2))) (let ((_let_4 (tptp.k4_waybel_2 A))) (=> (and (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 A)) (and (not (tptp.v1_xboole_0 _let_4)) (tptp.v1_relat_1 _let_4) (tptp.v1_funct_1 _let_4) (tptp.v1_funct_2 _let_4 _let_3 _let_1) (tptp.v5_orders_3 _let_4 _let_2 A) (tptp.v1_partfun1 _let_4 _let_3 _let_1)))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.k3_yellow_3 A A))) (let ((_let_3 (tptp.u1_struct_0 _let_2))) (let ((_let_4 (tptp.k5_waybel_2 A))) (=> (and (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.l1_orders_2 A)) (and (not (tptp.v1_xboole_0 _let_4)) (tptp.v1_relat_1 _let_4) (tptp.v1_funct_1 _let_4) (tptp.v1_funct_2 _let_4 _let_3 _let_1) (tptp.v5_orders_3 _let_4 _let_2 A) (tptp.v1_partfun1 _let_4 _let_3 _let_1)))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.v2_orders_2 A))) (let ((_let_2 (not (tptp.v3_struct_0 A)))) (=> (tptp.l1_orders_2 A) (=> (and _let_2 _let_1 (tptp.v3_realset2 A)) (and _let_2 _let_1 (not (tptp.v1_yellow_3 A)) (tptp.v1_waybel_2 A))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.v2_orders_2 A))) (let ((_let_2 (not (tptp.v3_struct_0 A)))) (=> (tptp.l1_orders_2 A) (=> (and _let_2 _let_1 (tptp.v2_waybel_2 A)) (and _let_2 _let_1 (tptp.v24_waybel_0 A) (not (tptp.v1_yellow_3 A)) (tptp.v1_waybel_2 A))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.v2_orders_2 A))) (let ((_let_2 (not (tptp.v3_struct_0 A)))) (=> (tptp.l1_orders_2 A) (=> (and _let_2 _let_1 (tptp.v24_waybel_0 A) (tptp.v1_waybel_2 A)) (and _let_2 _let_1 (not (tptp.v1_yellow_3 A)) (tptp.v2_waybel_2 A))))))) (exists ((A $$unsorted)) (and (tptp.l1_orders_2 A) (not (tptp.v3_struct_0 A)) (tptp.v1_orders_2 A) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_yellow_0 A) (tptp.v2_yellow_0 A) (tptp.v3_yellow_0 A) (tptp.v16_waybel_0 A) (tptp.v24_waybel_0 A) (tptp.v25_waybel_0 A) (not (tptp.v1_yellow_3 A)) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_lattice3 A) (tptp.v2_waybel_1 A) (tptp.v9_waybel_1 A) (tptp.v10_waybel_1 A) (tptp.v11_waybel_1 A) (tptp.v3_realset2 A) (tptp.v1_waybel_2 A) (tptp.v2_waybel_2 A))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.k2_yellow_1 (tptp.k8_waybel_0 A)))) (let ((_let_3 (tptp.u1_struct_0 _let_2))) (let ((_let_4 (tptp.k3_yellow_2 A))) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v24_waybel_0 A) (tptp.v1_lattice3 A) (tptp.l1_orders_2 A)) (and (not (tptp.v1_xboole_0 _let_4)) (tptp.v1_relat_1 _let_4) (tptp.v1_funct_1 _let_4) (tptp.v1_funct_2 _let_4 _let_3 _let_1) (tptp.v5_orders_3 _let_4 _let_2 A) (tptp.v20_waybel_0 _let_4 _let_2 A) (tptp.v1_partfun1 _let_4 _let_3 _let_1)))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.k2_yellow_1 (tptp.k8_waybel_0 A)))) (let ((_let_3 (tptp.u1_struct_0 _let_2))) (let ((_let_4 (tptp.k3_yellow_2 A))) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v2_waybel_2 A) (tptp.l1_orders_2 A)) (and (not (tptp.v1_xboole_0 _let_4)) (tptp.v1_relat_1 _let_4) (tptp.v1_funct_1 _let_4) (tptp.v1_funct_2 _let_4 _let_3 _let_1) (tptp.v5_orders_3 _let_4 _let_2 A) (tptp.v19_waybel_0 _let_4 _let_2 A) (tptp.v20_waybel_0 _let_4 _let_2 A) (tptp.v1_partfun1 _let_4 _let_3 _let_1)))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.k3_yellow_3 A A))) (let ((_let_3 (tptp.u1_struct_0 _let_2))) (let ((_let_4 (tptp.k4_waybel_2 A))) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v2_lattice3 A) (tptp.v2_waybel_2 A) (tptp.l1_orders_2 A)) (and (not (tptp.v1_xboole_0 _let_4)) (tptp.v1_relat_1 _let_4) (tptp.v1_funct_1 _let_4) (tptp.v1_funct_2 _let_4 _let_3 _let_1) (tptp.v5_orders_3 _let_4 _let_2 A) (tptp.v22_waybel_0 _let_4 _let_2 A) (tptp.v1_partfun1 _let_4 _let_3 _let_1)))))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.k4_waybel_1 A B))) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v2_lattice3 A) (tptp.v2_waybel_2 A) (tptp.l1_orders_2 A) (tptp.m1_subset_1 B _let_1)) (and (not (tptp.v1_xboole_0 _let_2)) (tptp.v1_relat_1 _let_2) (tptp.v1_funct_1 _let_2) (tptp.v1_funct_2 _let_2 _let_1 _let_1) (tptp.v5_orders_3 _let_2 A A) (tptp.v22_waybel_0 _let_2 A A) (tptp.v1_partfun1 _let_2 _let_1 _let_1)))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.v4_orders_2 A))) (let ((_let_2 (tptp.v3_orders_2 A))) (let ((_let_3 (tptp.v2_orders_2 A))) (let ((_let_4 (not (tptp.v3_struct_0 A)))) (=> (tptp.l1_orders_2 A) (=> (and _let_4 _let_3 _let_2 _let_1 (tptp.v3_lattice3 A) (tptp.v9_waybel_1 A)) (and _let_4 _let_3 _let_2 _let_1 (tptp.v24_waybel_0 A) (not (tptp.v1_yellow_3 A)) (tptp.v2_waybel_1 A) (tptp.v1_waybel_2 A) (tptp.v2_waybel_2 A))))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.v2_waybel_1 A))) (let ((_let_2 (tptp.v4_orders_2 A))) (let ((_let_3 (tptp.v3_orders_2 A))) (let ((_let_4 (tptp.v2_orders_2 A))) (let ((_let_5 (not (tptp.v3_struct_0 A)))) (=> (tptp.l1_orders_2 A) (=> (and _let_5 _let_4 _let_3 _let_2 (tptp.v3_lattice3 A) _let_1 (tptp.v2_waybel_2 A)) (and _let_5 _let_4 _let_3 _let_2 (tptp.v2_yellow_0 A) (not (tptp.v1_yellow_3 A)) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) _let_1 (tptp.v9_waybel_1 A)))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v24_waybel_0 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.v1_waybel_0 B A) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (tptp.r1_yellow_0 A (tptp.k4_yellow_4 A (tptp.k1_struct_0 A C) B)))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v24_waybel_0 A) (tptp.v1_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.v1_waybel_0 B A) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (tptp.r1_yellow_0 A (tptp.k2_yellow_4 A (tptp.k1_struct_0 A C) B)))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v24_waybel_0 A) (tptp.v1_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.v1_waybel_0 B A) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (forall ((C $$unsorted)) (=> (and (not (tptp.v1_xboole_0 C)) (tptp.v1_waybel_0 C A) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (tptp.r2_lattice3 A B (tptp.k1_yellow_0 A (tptp.k2_yellow_4 A B C))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v24_waybel_0 A) (tptp.v1_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.v1_waybel_0 B A) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (forall ((C $$unsorted)) (=> (and (not (tptp.v1_xboole_0 C)) (tptp.v1_waybel_0 C A) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (= (tptp.k1_yellow_0 A (tptp.k2_yellow_4 A B C)) (tptp.k13_lattice3 A (tptp.k1_yellow_0 A B) (tptp.k1_yellow_0 A C))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v4_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_orders_2 B) (tptp.v4_orders_2 B) (tptp.l1_orders_2 B)) (=> (tptp.v24_waybel_0 (tptp.k3_yellow_3 A B)) (and (tptp.v24_waybel_0 A) (tptp.v24_waybel_0 B))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v4_orders_2 A) (tptp.v24_waybel_0 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k3_yellow_3 A A))) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.v1_waybel_0 B _let_1) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 _let_1)))) (= (tptp.k1_yellow_0 _let_1 B) (tptp.k7_yellow_3 A A (tptp.k1_yellow_0 A (tptp.k4_yellow_3 A A B)) (tptp.k1_yellow_0 A (tptp.k5_yellow_3 A A B))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_orders_2 A) (forall ((B $$unsorted)) (=> (tptp.l1_orders_2 B) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D _let_2 _let_1) (tptp.m2_relset_1 D _let_2 _let_1)) (=> (tptp.v5_orders_3 D A B) (tptp.r1_tarski (tptp.k4_pre_topc A B D (tptp.k4_waybel_0 A C)) (tptp.k4_waybel_0 B (tptp.k4_pre_topc A B D C)))))))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_orders_2 A) (forall ((B $$unsorted)) (=> (tptp.l1_orders_2 B) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D _let_2 _let_1) (tptp.m2_relset_1 D _let_2 _let_1)) (=> (tptp.v5_orders_3 D A B) (tptp.r1_tarski (tptp.k4_pre_topc A B D (tptp.k5_waybel_0 A C)) (tptp.k5_waybel_0 B (tptp.k4_pre_topc A B D C)))))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_lattice3 A) (tptp.v2_waybel_1 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (and (tptp.v1_finset_1 C) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (= (tptp.k1_yellow_0 A (tptp.k4_yellow_4 A (tptp.k1_struct_0 A B) C)) (tptp.k12_lattice3 A B (tptp.k1_yellow_0 A C))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_lattice3 A) (tptp.v2_waybel_1 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (and (tptp.v1_finset_1 C) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (= (tptp.k2_yellow_0 A (tptp.k2_yellow_4 A (tptp.k1_struct_0 A B) C)) (tptp.k13_lattice3 A B (tptp.k2_yellow_0 A C))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_lattice3 A) (tptp.v2_waybel_1 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (and (tptp.v1_finset_1 C) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (tptp.r4_waybel_0 A A (tptp.k4_waybel_1 A B) C))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v7_waybel_0 B) (tptp.l1_waybel_0 B A)) (=> (tptp.v10_waybel_0 B A) (tptp.v1_waybel_0 (tptp.k8_yellow_2 (tptp.u1_struct_0 B) A (tptp.k2_waybel_0 A B)) A)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.v1_waybel_0 B A) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (forall ((C $$unsorted)) (let ((_let_1 (tptp.g1_waybel_0 A B (tptp.k1_toler_1 (tptp.u1_orders_2 A) B) C))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C B _let_2) (tptp.m2_relset_1 C B _let_2)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v7_waybel_0 _let_1) (tptp.l1_waybel_0 _let_1 A)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.v1_waybel_0 B A) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C B _let_1) (tptp.m2_relset_1 C B _let_1)) (forall ((D $$unsorted)) (=> (and (not (tptp.v3_struct_0 D)) (tptp.v7_waybel_0 D) (tptp.l1_waybel_0 D A)) (=> (and (= C (tptp.k6_partfun1 B)) (= D (tptp.g1_waybel_0 A B (tptp.k1_toler_1 (tptp.u1_orders_2 A) B) C))) (tptp.v10_waybel_0 D A))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.l1_waybel_0 B A) (= (tptp.k1_waybel_2 A B) (tptp.k5_yellow_2 A (tptp.u1_waybel_0 A B))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (forall ((B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C B _let_1) (tptp.m2_relset_1 C B _let_1)) (forall ((D $$unsorted)) (=> (and (not (tptp.v3_struct_0 D)) (tptp.v7_waybel_0 D) (tptp.l1_waybel_0 D A)) (= (= D (tptp.k2_waybel_2 A B C)) (exists ((E $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (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) (forall ((F $$unsorted)) (let ((_let_1 (tptp.k5_finsub_1 B))) (=> (tptp.m1_subset_1 F _let_1) (and (= (tptp.k7_yellow_2 _let_1 A E F) (tptp.k1_yellow_0 A (tptp.k2_funct_2 B (tptp.u1_struct_0 A) C F))) (= D (tptp.g1_waybel_0 A _let_1 (tptp.k1_yellow_1 _let_1) E)))))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (forall ((B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D B _let_1) (tptp.m2_relset_1 D B _let_1)) (= (tptp.m1_subset_1 C (tptp.u1_struct_0 (tptp.k2_waybel_2 A B D))) (tptp.m1_subset_1 C (tptp.k5_finsub_1 B)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 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.l1_waybel_0 C A)) (forall ((D $$unsorted)) (=> (and (tptp.v6_waybel_0 D A) (tptp.l1_waybel_0 D A)) (= (= D (tptp.k3_waybel_2 A B C)) (and (= (tptp.g1_orders_2 (tptp.u1_struct_0 D) (tptp.u1_orders_2 D)) (tptp.g1_orders_2 (tptp.u1_struct_0 C) (tptp.u1_orders_2 C))) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.u1_struct_0 D)) (exists ((F $$unsorted)) (and (tptp.m1_subset_1 F (tptp.u1_struct_0 A)) (= F (tptp.k1_funct_1 (tptp.u1_waybel_0 A C) E)) (= (tptp.k1_funct_1 (tptp.u1_waybel_0 A D) E) (tptp.k11_lattice3 A B F)))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.l1_waybel_0 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (= (tptp.m1_subset_1 D (tptp.u1_struct_0 B)) (tptp.m1_subset_1 D (tptp.u1_struct_0 (tptp.k3_waybel_2 A C B))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k3_waybel_2 A B C))) (=> (and (not (tptp.v3_struct_0 C)) (tptp.l1_waybel_0 C A)) (= (tptp.k8_yellow_2 (tptp.u1_struct_0 _let_1) A (tptp.u1_waybel_0 A _let_1)) (tptp.k3_yellow_4 A (tptp.k1_struct_0 A B) (tptp.k8_yellow_2 (tptp.u1_struct_0 C) A (tptp.u1_waybel_0 A C))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (forall ((B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k2_waybel_2 A B C))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C B _let_2) (tptp.m2_relset_1 C B _let_2)) (=> (forall ((D $$unsorted)) (tptp.r1_yellow_0 A (tptp.k2_funct_2 B (tptp.u1_struct_0 A) C D))) (tptp.r1_tarski (tptp.k8_yellow_2 (tptp.u1_struct_0 _let_1) A (tptp.k2_waybel_0 A _let_1)) (tptp.k12_waybel_0 A (tptp.k8_yellow_2 B A C)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v4_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k2_waybel_2 A B C))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C B _let_2) (tptp.m2_relset_1 C B _let_2)) (tptp.r1_tarski (tptp.k8_yellow_2 B A C) (tptp.k8_yellow_2 (tptp.u1_struct_0 _let_1) A (tptp.k2_waybel_0 A _let_1))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v4_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k2_waybel_2 A B C))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C B _let_2) (tptp.m2_relset_1 C B _let_2)) (=> (and (tptp.r1_yellow_0 A (tptp.k8_yellow_2 B A C)) (tptp.r1_yellow_0 A (tptp.k8_yellow_2 (tptp.u1_struct_0 _let_1) A (tptp.k2_waybel_0 A _let_1))) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k5_finsub_1 B)) (tptp.r1_yellow_0 A (tptp.k2_funct_2 B (tptp.u1_struct_0 A) C D))))) (= (tptp.k5_yellow_2 A C) (tptp.k1_waybel_2 A _let_1))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v7_waybel_0 B) (tptp.l1_waybel_0 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (=> (tptp.v10_waybel_0 B A) (tptp.v10_waybel_0 (tptp.k3_waybel_2 A C B) A)))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v24_waybel_0 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 A)) (=> (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (and (not (tptp.v1_xboole_0 C)) (tptp.v1_waybel_0 C A) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (=> (tptp.r3_orders_2 A B (tptp.k1_yellow_0 A C)) (tptp.r3_orders_2 A B (tptp.k1_yellow_0 A (tptp.k4_yellow_4 A (tptp.k1_struct_0 A B) C)))))))) (forall ((B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.v1_waybel_0 B A) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (tptp.k12_lattice3 A C (tptp.k1_yellow_0 A B)) (tptp.k1_yellow_0 A (tptp.k4_yellow_4 A (tptp.k1_struct_0 A C) B)))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.l1_orders_2 A)) (=> (forall ((B $$unsorted)) (=> (and (tptp.v1_waybel_0 B A) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (tptp.k11_lattice3 A C (tptp.k1_yellow_0 A B)) (tptp.k1_yellow_0 A (tptp.k3_yellow_4 A (tptp.k1_struct_0 A C) B))))))) (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.r1_yellow_0 A B) (= (tptp.k11_lattice3 A C (tptp.k1_yellow_0 A B)) (tptp.k1_yellow_0 A (tptp.k3_yellow_4 A (tptp.k1_struct_0 A C) (tptp.k12_waybel_0 A B)))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v24_waybel_0 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 A)) (=> (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (tptp.k12_lattice3 A C (tptp.k1_yellow_0 A B)) (tptp.k1_yellow_0 A (tptp.k4_yellow_4 A (tptp.k1_struct_0 A C) (tptp.k12_waybel_0 A B)))))))) (forall ((B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.v1_waybel_0 B A) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (tptp.k12_lattice3 A C (tptp.k1_yellow_0 A B)) (tptp.k1_yellow_0 A (tptp.k4_yellow_4 A (tptp.k1_struct_0 A C) B)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.u1_struct_0 (tptp.k3_yellow_3 A A)))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_2 _let_1) (tptp.m2_relset_1 B _let_2 _let_1)) (= (= B (tptp.k4_waybel_2 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (= (tptp.k7_yellow_2 (tptp.u1_struct_0 (tptp.k3_yellow_3 A A)) A B (tptp.k7_yellow_3 A A C D)) (tptp.k11_lattice3 A C D))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 (tptp.k3_yellow_3 A A)))) (=> (tptp.m1_subset_1 B _let_1) (= (tptp.k7_yellow_2 _let_1 A (tptp.k4_waybel_2 A) B) (tptp.k11_lattice3 A (tptp.k8_yellow_3 A A B) (tptp.k9_yellow_3 A A B)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 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.k4_pre_topc (tptp.k3_yellow_3 A A) A (tptp.k4_waybel_2 A) (tptp.k6_yellow_3 A A B C)) (tptp.k3_yellow_4 A B C)))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v24_waybel_0 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k3_yellow_3 A A))) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.v1_waybel_0 B _let_1) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 _let_1)))) (= (tptp.k1_yellow_0 A (tptp.k4_pre_topc _let_1 A (tptp.k4_waybel_2 A) B)) (tptp.k1_yellow_0 A (tptp.k4_yellow_4 A (tptp.k4_yellow_3 A A B) (tptp.k5_yellow_3 A A B))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.u1_struct_0 (tptp.k3_yellow_3 A A)))) (=> (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_waybel_2 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.k7_yellow_2 (tptp.u1_struct_0 (tptp.k3_yellow_3 A A)) A B (tptp.k7_yellow_3 A A C D)) (tptp.k10_lattice3 A C D))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 (tptp.k3_yellow_3 A A)))) (=> (tptp.m1_subset_1 B _let_1) (= (tptp.k7_yellow_2 _let_1 A (tptp.k5_waybel_2 A) B) (tptp.k10_lattice3 A (tptp.k8_yellow_3 A A B) (tptp.k9_yellow_3 A A B)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (tptp.k4_pre_topc (tptp.k3_yellow_3 A A) A (tptp.k5_waybel_2 A) (tptp.k6_yellow_3 A A B C)) (tptp.k1_yellow_4 A B C)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v3_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k3_yellow_3 A A))) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.v2_waybel_0 B _let_1) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 _let_1)))) (= (tptp.k2_yellow_0 A (tptp.k4_pre_topc _let_1 A (tptp.k5_waybel_2 A) B)) (tptp.k2_yellow_0 A (tptp.k2_yellow_4 A (tptp.k4_yellow_3 A A B) (tptp.k5_yellow_3 A A B))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.l1_orders_2 A)) (= (tptp.v1_waybel_2 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.v1_waybel_0 C A) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (= (tptp.k11_lattice3 A B (tptp.k1_yellow_0 A C)) (tptp.k1_yellow_0 A (tptp.k3_yellow_4 A (tptp.k1_struct_0 A B) C)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.l1_orders_2 A)) (= (tptp.v2_waybel_2 A) (and (tptp.v24_waybel_0 A) (tptp.v1_waybel_2 A))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v24_waybel_0 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 A)) (=> (tptp.v19_waybel_0 (tptp.k3_yellow_2 A) (tptp.k2_yellow_1 (tptp.k8_waybel_0 A)) A) (forall ((B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.v1_waybel_0 B A) (tptp.v12_waybel_0 B A) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (forall ((C $$unsorted)) (=> (and (not (tptp.v1_xboole_0 C)) (tptp.v1_waybel_0 C A) (tptp.v12_waybel_0 C A) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (= (tptp.k12_lattice3 A (tptp.k1_yellow_0 A B) (tptp.k1_yellow_0 A C)) (tptp.k1_yellow_0 A (tptp.k4_yellow_4 A B C)))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v24_waybel_0 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 A)) (=> (forall ((B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.v1_waybel_0 B A) (tptp.v12_waybel_0 B A) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (forall ((C $$unsorted)) (=> (and (not (tptp.v1_xboole_0 C)) (tptp.v1_waybel_0 C A) (tptp.v12_waybel_0 C A) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (= (tptp.k12_lattice3 A (tptp.k1_yellow_0 A B) (tptp.k1_yellow_0 A C)) (tptp.k1_yellow_0 A (tptp.k4_yellow_4 A B C))))))) (tptp.v19_waybel_0 (tptp.k3_yellow_2 A) (tptp.k2_yellow_1 (tptp.k8_waybel_0 A)) A)))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v24_waybel_0 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 A)) (=> (forall ((B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.v1_waybel_0 B A) (tptp.v12_waybel_0 B A) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (forall ((C $$unsorted)) (=> (and (not (tptp.v1_xboole_0 C)) (tptp.v1_waybel_0 C A) (tptp.v12_waybel_0 C A) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (= (tptp.k12_lattice3 A (tptp.k1_yellow_0 A B) (tptp.k1_yellow_0 A C)) (tptp.k1_yellow_0 A (tptp.k4_yellow_4 A B C))))))) (forall ((B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.v1_waybel_0 B A) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (forall ((C $$unsorted)) (=> (and (not (tptp.v1_xboole_0 C)) (tptp.v1_waybel_0 C A) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (= (tptp.k12_lattice3 A (tptp.k1_yellow_0 A B) (tptp.k1_yellow_0 A C)) (tptp.k1_yellow_0 A (tptp.k4_yellow_4 A B C)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.l1_orders_2 A)) (=> (tptp.v1_waybel_2 A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.v7_waybel_0 C) (tptp.l1_waybel_0 C A)) (=> (tptp.v10_waybel_0 C A) (= (tptp.k11_lattice3 A B (tptp.k1_waybel_2 A C)) (tptp.k1_yellow_0 A (tptp.k3_yellow_4 A (tptp.k1_struct_0 A B) (tptp.k8_yellow_2 (tptp.u1_struct_0 C) A (tptp.k2_waybel_0 A C))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.l1_orders_2 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.v7_waybel_0 C) (tptp.l1_waybel_0 C A)) (=> (tptp.v10_waybel_0 C A) (= (tptp.k11_lattice3 A B (tptp.k1_waybel_2 A C)) (tptp.k1_yellow_0 A (tptp.k3_yellow_4 A (tptp.k1_struct_0 A B) (tptp.k8_yellow_2 (tptp.u1_struct_0 C) A (tptp.k2_waybel_0 A C)))))))))) (tptp.v1_waybel_2 A)))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v4_orders_2 A) (tptp.v24_waybel_0 A) (tptp.l1_orders_2 A)) (=> (tptp.v22_waybel_0 (tptp.k4_waybel_2 A) (tptp.k3_yellow_3 A A) A) (forall ((B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.v1_waybel_0 B A) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (forall ((C $$unsorted)) (=> (and (not (tptp.v1_xboole_0 C)) (tptp.v1_waybel_0 C A) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (= (tptp.k11_lattice3 A (tptp.k1_yellow_0 A B) (tptp.k1_yellow_0 A C)) (tptp.k1_yellow_0 A (tptp.k3_yellow_4 A B C)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v4_orders_2 A) (tptp.l1_orders_2 A)) (=> (forall ((B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.v1_waybel_0 B A) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (forall ((C $$unsorted)) (=> (and (not (tptp.v1_xboole_0 C)) (tptp.v1_waybel_0 C A) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (= (tptp.k11_lattice3 A (tptp.k1_yellow_0 A B) (tptp.k1_yellow_0 A C)) (tptp.k1_yellow_0 A (tptp.k3_yellow_4 A B C))))))) (tptp.v1_waybel_2 A)))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v4_orders_2 A) (tptp.v2_lattice3 A) (tptp.v1_waybel_2 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (and (not (tptp.v1_xboole_0 C)) (tptp.v1_waybel_0 C A) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (=> (tptp.r3_orders_2 A B (tptp.k1_yellow_0 A C)) (= B (tptp.k1_yellow_0 A (tptp.k4_yellow_4 A (tptp.k1_struct_0 A B) C)))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v24_waybel_0 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 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.v1_waybel_0 C A) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (=> (tptp.r3_orders_2 A B (tptp.k1_yellow_0 A C)) (tptp.r3_orders_2 A B (tptp.k1_yellow_0 A (tptp.k4_yellow_4 A (tptp.k1_struct_0 A B) C)))))))) (tptp.v22_waybel_0 (tptp.k4_waybel_2 A) (tptp.k3_yellow_3 A A) A)))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v4_orders_2 A) (tptp.v3_lattice3 A) (tptp.l1_orders_2 A)) (=> (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.v7_waybel_0 C) (tptp.l1_waybel_0 C A)) (=> (tptp.v10_waybel_0 C A) (= (tptp.k12_lattice3 A B (tptp.k1_waybel_2 A C)) (tptp.k1_yellow_0 A (tptp.k4_yellow_4 A (tptp.k1_struct_0 A B) (tptp.k8_yellow_2 (tptp.u1_struct_0 C) A (tptp.k2_waybel_0 A C)))))))))) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D C _let_1) (tptp.m2_relset_1 D C _let_1)) (= (tptp.k12_lattice3 A B (tptp.k5_yellow_2 A D)) (tptp.k1_waybel_2 A (tptp.k3_waybel_2 A B (tptp.k2_waybel_2 A C D)))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v2_lattice3 A) (tptp.v3_lattice3 A) (tptp.l1_orders_2 A)) (=> (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D C _let_1) (tptp.m2_relset_1 D C _let_1)) (= (tptp.k12_lattice3 A B (tptp.k5_yellow_2 A D)) (tptp.k1_waybel_2 A (tptp.k3_waybel_2 A B (tptp.k2_waybel_2 A C D))))))))) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.v7_waybel_0 C) (tptp.l1_waybel_0 C A)) (=> (tptp.v10_waybel_0 C A) (= (tptp.k12_lattice3 A B (tptp.k1_waybel_2 A C)) (tptp.k1_yellow_0 A (tptp.k4_yellow_4 A (tptp.k1_struct_0 A B) (tptp.k8_yellow_2 (tptp.u1_struct_0 C) A (tptp.k2_waybel_0 A C))))))))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k2_yellow_1 (tptp.k8_waybel_0 A)))) (let ((_let_2 (tptp.k3_yellow_2 A))) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v24_waybel_0 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 A)) (= (tptp.v2_waybel_2 A) (and (tptp.v19_waybel_0 _let_2 _let_1 A) (tptp.v20_waybel_0 _let_2 _let_1 A))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v24_waybel_0 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 A)) (= (tptp.v2_waybel_2 A) (forall ((B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.v1_waybel_0 B A) (tptp.v12_waybel_0 B A) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (forall ((C $$unsorted)) (=> (and (not (tptp.v1_xboole_0 C)) (tptp.v1_waybel_0 C A) (tptp.v12_waybel_0 C A) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (= (tptp.k12_lattice3 A (tptp.k1_yellow_0 A B) (tptp.k1_yellow_0 A C)) (tptp.k1_yellow_0 A (tptp.k4_yellow_4 A B C)))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v24_waybel_0 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 A)) (= (tptp.v2_waybel_2 A) (forall ((B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.v1_waybel_0 B A) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (forall ((C $$unsorted)) (=> (and (not (tptp.v1_xboole_0 C)) (tptp.v1_waybel_0 C A) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (= (tptp.k12_lattice3 A (tptp.k1_yellow_0 A B) (tptp.k1_yellow_0 A C)) (tptp.k1_yellow_0 A (tptp.k4_yellow_4 A B C)))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v24_waybel_0 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 A)) (= (tptp.v2_waybel_2 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.v1_waybel_0 C A) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (=> (tptp.r3_orders_2 A B (tptp.k1_yellow_0 A C)) (= B (tptp.k1_yellow_0 A (tptp.k4_yellow_4 A (tptp.k1_struct_0 A B) C))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v24_waybel_0 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 A)) (= (tptp.v2_waybel_2 A) (tptp.v22_waybel_0 (tptp.k4_waybel_2 A) (tptp.k3_yellow_3 A A) A)))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v24_waybel_0 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 A)) (= (tptp.v2_waybel_2 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.v7_waybel_0 C) (tptp.l1_waybel_0 C A)) (=> (tptp.v10_waybel_0 C A) (= (tptp.k12_lattice3 A B (tptp.k1_waybel_2 A C)) (tptp.k1_yellow_0 A (tptp.k4_yellow_4 A (tptp.k1_struct_0 A B) (tptp.k8_yellow_2 (tptp.u1_struct_0 C) A (tptp.k2_waybel_0 A C))))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v2_lattice3 A) (tptp.v3_lattice3 A) (tptp.l1_orders_2 A)) (= (tptp.v2_waybel_2 A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D C _let_1) (tptp.m2_relset_1 D C _let_1)) (= (tptp.k12_lattice3 A B (tptp.k5_yellow_2 A D)) (tptp.k1_waybel_2 A (tptp.k3_waybel_2 A B (tptp.k2_waybel_2 A C D)))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v3_lattice3 A) (tptp.l1_orders_2 A)) (= (tptp.v9_waybel_1 A) (and (tptp.v2_waybel_2 A) (tptp.v2_waybel_1 A))))) (exists ((A $$unsorted)) (and (not (tptp.v3_struct_0 A)) (tptp.v7_waybel_0 A) (tptp.l1_waybel_0 A tptp.f1_s1_waybel_2) (= (tptp.g1_orders_2 (tptp.u1_struct_0 A) (tptp.u1_orders_2 A)) (tptp.g1_orders_2 (tptp.u1_struct_0 tptp.f2_s1_waybel_2) (tptp.u1_orders_2 tptp.f2_s1_waybel_2))) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 B _let_1) (= (tptp.k7_yellow_2 _let_1 tptp.f1_s1_waybel_2 (tptp.u1_waybel_0 tptp.f1_s1_waybel_2 A) B) (tptp.f3_s1_waybel_2 (tptp.k1_funct_1 (tptp.u1_waybel_0 tptp.f1_s1_waybel_2 tptp.f2_s1_waybel_2) B)))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A) (tptp.l1_waybel_0 B A)) (tptp.m1_subset_1 (tptp.k1_waybel_2 A B) (tptp.u1_struct_0 A)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k2_waybel_2 A B C))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C B _let_2) (tptp.m1_relset_1 C B _let_2)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v7_waybel_0 _let_1) (tptp.l1_waybel_0 _let_1 A)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k3_waybel_2 A B C))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A) (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (not (tptp.v3_struct_0 C)) (tptp.l1_waybel_0 C A)) (and (tptp.v6_waybel_0 _let_1 A) (tptp.l1_waybel_0 _let_1 A))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.u1_struct_0 (tptp.k3_yellow_3 A A)))) (let ((_let_3 (tptp.k4_waybel_2 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 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 $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.u1_struct_0 (tptp.k3_yellow_3 A A)))) (let ((_let_3 (tptp.k5_waybel_2 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (and (tptp.v1_funct_1 _let_3) (tptp.v1_funct_2 _let_3 _let_2 _let_1) (tptp.m2_relset_1 _let_3 _let_2 _let_1))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v24_waybel_0 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k3_yellow_3 A A))) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.v1_waybel_0 B _let_1) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 _let_1)))) (= (tptp.a_2_0_waybel_2 A B) (tptp.a_2_1_waybel_2 A B))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k3_yellow_3 A A))) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.v1_waybel_0 B _let_1) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 _let_1)))) (= (tptp.k3_tarski (tptp.a_2_2_waybel_2 A B)) (tptp.k4_yellow_4 A (tptp.k4_yellow_3 A A B) (tptp.k5_yellow_3 A A B)))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v24_waybel_0 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k3_yellow_3 A A))) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.v1_waybel_0 B _let_1) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 _let_1)))) (tptp.r1_yellow_0 A (tptp.k3_tarski (tptp.a_2_3_waybel_2 A B)))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v24_waybel_0 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k3_yellow_3 A A))) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.v1_waybel_0 B _let_1) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 _let_1)))) (tptp.r1_yellow_0 A (tptp.a_2_1_waybel_2 A B))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v24_waybel_0 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k3_yellow_3 A A))) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.v1_waybel_0 B _let_1) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 _let_1)))) (tptp.r3_orders_2 A (tptp.k1_yellow_0 A (tptp.a_2_1_waybel_2 A B)) (tptp.k1_yellow_0 A (tptp.k3_tarski (tptp.a_2_3_waybel_2 A B))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v24_waybel_0 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k3_yellow_3 A A))) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.v1_waybel_0 B _let_1) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 _let_1)))) (= (tptp.k1_yellow_0 A (tptp.a_2_1_waybel_2 A B)) (tptp.k1_yellow_0 A (tptp.k3_tarski (tptp.a_2_3_waybel_2 A B))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.l1_orders_2 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.k11_lattice3 A C (tptp.k1_yellow_0 A B)) (tptp.k1_yellow_0 A (tptp.a_3_0_waybel_2 A B C))))))) (tptp.v1_waybel_2 A)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k3_yellow_3 B B))) (=> (and (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.v24_waybel_0 B) (tptp.v2_lattice3 B) (tptp.l1_orders_2 B) (not (tptp.v1_xboole_0 C)) (tptp.v1_waybel_0 C _let_1) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 _let_1)))) (= (tptp.r2_hidden A (tptp.a_2_0_waybel_2 B C)) (exists ((D $$unsorted)) (and (tptp.m1_subset_1 D (tptp.u1_struct_0 B)) (= A (tptp.k1_yellow_0 B (tptp.k4_yellow_4 B (tptp.k1_struct_0 B D) (tptp.k5_yellow_3 B B C)))) (tptp.r2_hidden D (tptp.k4_yellow_3 B B C)))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k3_yellow_3 B B))) (=> (and (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.v24_waybel_0 B) (tptp.v2_lattice3 B) (tptp.l1_orders_2 B) (not (tptp.v1_xboole_0 C)) (tptp.v1_waybel_0 C _let_1) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 _let_1)))) (= (tptp.r2_hidden A (tptp.a_2_1_waybel_2 B C)) (exists ((D $$unsorted)) (and (not (tptp.v1_xboole_0 D)) (tptp.v1_waybel_0 D B) (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B))) (= A (tptp.k1_yellow_0 B D)) (exists ((E $$unsorted)) (and (tptp.m1_subset_1 E (tptp.u1_struct_0 B)) (= D (tptp.k4_yellow_4 B (tptp.k1_struct_0 B E) (tptp.k5_yellow_3 B B C))) (tptp.r2_hidden E (tptp.k4_yellow_3 B B C)))))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k3_yellow_3 B B))) (=> (and (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.v2_lattice3 B) (tptp.l1_orders_2 B) (not (tptp.v1_xboole_0 C)) (tptp.v1_waybel_0 C _let_1) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 _let_1)))) (= (tptp.r2_hidden A (tptp.a_2_2_waybel_2 B C)) (exists ((D $$unsorted)) (and (not (tptp.v1_xboole_0 D)) (tptp.v1_waybel_0 D B) (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B))) (= A D) (exists ((E $$unsorted)) (and (tptp.m1_subset_1 E (tptp.u1_struct_0 B)) (= D (tptp.k4_yellow_4 B (tptp.k1_struct_0 B E) (tptp.k5_yellow_3 B B C))) (tptp.r2_hidden E (tptp.k4_yellow_3 B B C)))))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k3_yellow_3 B B))) (=> (and (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.v24_waybel_0 B) (tptp.v2_lattice3 B) (tptp.l1_orders_2 B) (not (tptp.v1_xboole_0 C)) (tptp.v1_waybel_0 C _let_1) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 _let_1)))) (= (tptp.r2_hidden A (tptp.a_2_3_waybel_2 B C)) (exists ((D $$unsorted)) (and (not (tptp.v1_xboole_0 D)) (tptp.v1_waybel_0 D B) (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B))) (= A D) (exists ((E $$unsorted)) (and (tptp.m1_subset_1 E (tptp.u1_struct_0 B)) (= D (tptp.k4_yellow_4 B (tptp.k1_struct_0 B E) (tptp.k5_yellow_3 B B C))) (tptp.r2_hidden E (tptp.k4_yellow_3 B B C)))))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_orders_2 B) (tptp.l1_orders_2 B) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 _let_1)) (tptp.m1_subset_1 D _let_1)) (= (tptp.r2_hidden A (tptp.a_3_0_waybel_2 B C D)) (exists ((E $$unsorted)) (and (tptp.m1_subset_1 E (tptp.u1_struct_0 B)) (= A (tptp.k11_lattice3 B D E)) (tptp.r2_hidden E C))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_yellow_0 A) (tptp.l1_orders_2 A) (tptp.m1_subset_1 B (tptp.u1_struct_0 A))) (not (tptp.v1_xboole_0 (tptp.k1_waybel_3 A B))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.l1_orders_2 A) (tptp.m1_subset_1 B (tptp.u1_struct_0 A))) (tptp.v12_waybel_0 (tptp.k1_waybel_3 A B) A))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.l1_orders_2 A) (tptp.m1_subset_1 B (tptp.u1_struct_0 A))) (tptp.v13_waybel_0 (tptp.k2_waybel_3 A B) A))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k1_waybel_3 A B))) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.l1_orders_2 A) (tptp.m1_subset_1 B (tptp.u1_struct_0 A))) (and (tptp.v1_waybel_0 _let_1 A) (tptp.v12_waybel_0 _let_1 A))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k1_waybel_3 A B))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v25_waybel_0 A) (tptp.l1_orders_2 A) (tptp.m1_subset_1 B (tptp.u1_struct_0 A))) (and (not (tptp.v1_xboole_0 _let_1)) (tptp.v1_waybel_0 _let_1 A) (tptp.v12_waybel_0 _let_1 A))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v16_waybel_0 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (and (tptp.v1_waybel_0 B A) (tptp.v2_waybel_0 B A)))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.v24_waybel_0 A))) (let ((_let_2 (tptp.v16_waybel_0 A))) (let ((_let_3 (tptp.v1_yellow_0 A))) (let ((_let_4 (tptp.v4_orders_2 A))) (let ((_let_5 (tptp.v3_orders_2 A))) (let ((_let_6 (tptp.v2_orders_2 A))) (let ((_let_7 (not (tptp.v3_struct_0 A)))) (=> (tptp.l1_orders_2 A) (=> (and _let_7 _let_6 _let_5 _let_4 _let_3 _let_2 _let_1) (and _let_7 _let_6 _let_5 _let_4 (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_lattice3 A) _let_3 (tptp.v2_yellow_0 A) (tptp.v3_yellow_0 A) _let_2 _let_1 (tptp.v25_waybel_0 A)))))))))))) (exists ((A $$unsorted)) (and (tptp.l1_orders_2 A) (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_lattice3 A) (tptp.v1_yellow_0 A) (tptp.v2_yellow_0 A) (tptp.v3_yellow_0 A) (tptp.v16_waybel_0 A) (tptp.v24_waybel_0 A) (tptp.v25_waybel_0 A))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.v2_orders_2 A))) (let ((_let_2 (not (tptp.v3_struct_0 A)))) (=> (tptp.l1_orders_2 A) (=> (and _let_2 (tptp.v3_realset2 A) _let_1) (and _let_2 _let_1 (tptp.v2_waybel_3 A))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.v2_orders_2 A))) (let ((_let_2 (not (tptp.v3_struct_0 A)))) (=> (tptp.l1_orders_2 A) (=> (and _let_2 _let_1 (tptp.v3_waybel_3 A)) (and _let_2 _let_1 (tptp.v24_waybel_0 A) (tptp.v2_waybel_3 A))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.v1_yellow_0 A))) (let ((_let_2 (tptp.v1_lattice3 A))) (let ((_let_3 (tptp.v4_orders_2 A))) (let ((_let_4 (tptp.v3_orders_2 A))) (let ((_let_5 (tptp.v2_orders_2 A))) (=> (tptp.l1_orders_2 A) (=> (and _let_5 _let_4 _let_3 _let_2 _let_1 (tptp.v24_waybel_0 A) (tptp.v2_waybel_3 A)) (and (not (tptp.v3_struct_0 A)) _let_5 _let_4 _let_3 _let_2 _let_1 (tptp.v3_waybel_3 A)))))))))) (exists ((A $$unsorted)) (and (tptp.l1_orders_2 A) (not (tptp.v3_struct_0 A)) (tptp.v1_orders_2 A) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_lattice3 A) (tptp.v1_yellow_0 A) (tptp.v2_yellow_0 A) (tptp.v3_yellow_0 A) (tptp.v24_waybel_0 A) (tptp.v25_waybel_0 A) (tptp.v2_waybel_3 A) (tptp.v3_waybel_3 A))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k1_waybel_3 A B))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_waybel_3 A) (tptp.l1_orders_2 A) (tptp.m1_subset_1 B (tptp.u1_struct_0 A))) (and (not (tptp.v1_xboole_0 _let_1)) (tptp.v1_waybel_0 _let_1 A))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.v16_waybel_0 A))) (let ((_let_2 (tptp.v4_orders_2 A))) (let ((_let_3 (tptp.v3_orders_2 A))) (let ((_let_4 (tptp.v2_orders_2 A))) (let ((_let_5 (not (tptp.v3_struct_0 A)))) (=> (tptp.l1_orders_2 A) (=> (and _let_5 _let_4 _let_3 _let_2 (tptp.v3_lattice3 A) _let_1) (and _let_5 _let_4 _let_3 _let_2 _let_1 (tptp.v2_waybel_3 A)))))))))) (forall ((A $$unsorted)) (exists ((B $$unsorted)) (and (tptp.m1_pboole B A) (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (tptp.v1_yellow_1 B) (tptp.v2_pralg_1 B) (tptp.v4_waybel_3 B) (tptp.v5_waybel_3 B)))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k5_yellow_1 A B))) (=> (and (tptp.v1_yellow_1 B) (tptp.v4_waybel_3 B) (tptp.m1_pboole B A)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v1_orders_2 _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k5_yellow_1 A B))) (=> (and (tptp.v1_yellow_1 B) (tptp.v4_waybel_3 B) (tptp.m1_pboole B A)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v1_orders_2 _let_1) (tptp.v1_monoid_0 _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k5_yellow_1 A B))) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v1_yellow_1 B) (tptp.v4_waybel_3 B) (tptp.v5_waybel_3 B) (tptp.m1_pboole B A)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v1_orders_2 _let_1) (tptp.v2_orders_2 _let_1) (tptp.v1_monoid_0 _let_1))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.v2_pre_topc A))) (let ((_let_2 (not (tptp.v3_struct_0 A)))) (=> (tptp.l1_pre_topc A) (=> (and _let_2 _let_1 (tptp.v2_compts_1 A) (tptp.v3_compts_1 A)) (and _let_2 _let_1 (tptp.v4_compts_1 A) (tptp.v5_compts_1 A) (tptp.v6_waybel_3 A))))))) (exists ((A $$unsorted)) (and (tptp.l1_pre_topc A) (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.v2_compts_1 A) (tptp.v3_compts_1 A) (tptp.v4_compts_1 A) (tptp.v5_compts_1 A) (tptp.v6_waybel_3 A))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.l1_orders_2 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_waybel_3 A B C) (forall ((D $$unsorted)) (=> (and (not (tptp.v1_xboole_0 D)) (tptp.v1_waybel_0 D A) (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (not (and (tptp.r3_orders_2 A C (tptp.k1_yellow_0 A D)) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.u1_struct_0 A)) (not (and (tptp.r2_hidden E D) (tptp.r3_orders_2 A B E)))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (= (tptp.v1_waybel_3 B A) (tptp.r1_waybel_3 A B B)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v4_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (=> (tptp.r1_waybel_3 A B C) (tptp.r3_orders_2 A B C)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.l1_orders_2 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)) (=> (and (tptp.r3_orders_2 A B C) (tptp.r1_waybel_3 A C D) (tptp.r3_orders_2 A D E)) (tptp.r1_waybel_3 A B E)))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.l1_orders_2 A)) (=> (or (tptp.v1_lattice3 A) (tptp.v25_waybel_0 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (=> (and (tptp.r1_waybel_3 A B D) (tptp.r1_waybel_3 A C D)) (and (tptp.r1_yellow_0 A (tptp.k2_struct_0 A B C)) (tptp.r1_waybel_3 A (tptp.k10_lattice3 A B C) D)))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_yellow_0 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (tptp.r1_waybel_3 A (tptp.k3_yellow_0 A) B))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$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_waybel_3 A B C) (tptp.r1_waybel_3 A C D)) (tptp.r1_waybel_3 A B D)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v4_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (=> (and (tptp.r1_waybel_3 A B C) (tptp.r1_waybel_3 A C B)) (= B C)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.l1_orders_2 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.k1_waybel_3 A C)) (tptp.r1_waybel_3 A B C)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (tptp.r2_hidden B (tptp.k2_waybel_3 A C)) (tptp.r1_waybel_3 A C B)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v4_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (tptp.r2_lattice3 A (tptp.k1_waybel_3 A B) B))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v4_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (tptp.r1_lattice3 A (tptp.k2_waybel_3 A B) B))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v4_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (and (tptp.r1_tarski (tptp.k1_waybel_3 A B) (tptp.k6_waybel_0 A B)) (tptp.r1_tarski (tptp.k2_waybel_3 A B) (tptp.k7_waybel_0 A B))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.l1_orders_2 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_orders_2 A B C) (and (tptp.r1_tarski (tptp.k1_waybel_3 A B) (tptp.k1_waybel_3 A C)) (tptp.r1_tarski (tptp.k2_waybel_3 A C) (tptp.k2_waybel_3 A B)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v16_waybel_0 A) (tptp.v24_waybel_0 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (=> (tptp.r2_orders_2 A B C) (tptp.r1_waybel_3 A B C)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v4_orders_2 A) (tptp.l1_orders_2 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_waybel_3 A B C) (or (tptp.v1_waybel_3 B A) (tptp.r2_orders_2 A B C))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_yellow_0 A) (tptp.l1_orders_2 A)) (tptp.v1_waybel_3 (tptp.k3_yellow_0 A) A))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v24_waybel_0 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.v1_finset_1 B) (tptp.v1_waybel_0 B A) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (tptp.r2_hidden (tptp.k1_yellow_0 A B) B))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v24_waybel_0 A) (tptp.l1_orders_2 A)) (=> (tptp.v6_group_1 A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (tptp.v1_waybel_3 B A)))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_lattice3 A) (tptp.l1_orders_2 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_waybel_3 A B C) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (not (and (tptp.r3_orders_2 A C (tptp.k1_yellow_0 A D)) (forall ((E $$unsorted)) (=> (and (tptp.v1_finset_1 E) (tptp.m1_subset_1 E (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (not (and (tptp.r1_tarski E D) (tptp.r3_orders_2 A B (tptp.k1_yellow_0 A E))))))))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$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.k1_zfmisc_1 (tptp.u1_struct_0 A))) (not (and (tptp.r3_orders_2 A C (tptp.k1_yellow_0 A D)) (forall ((E $$unsorted)) (=> (and (tptp.v1_finset_1 E) (tptp.m1_subset_1 E (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (not (and (tptp.r1_tarski E D) (tptp.r3_orders_2 A B (tptp.k1_yellow_0 A E)))))))))) (tptp.r1_waybel_3 A B C)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.l1_orders_2 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_waybel_3 A B C) (forall ((D $$unsorted)) (=> (and (not (tptp.v1_xboole_0 D)) (tptp.v1_waybel_0 D A) (tptp.v12_waybel_0 D A) (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (=> (tptp.r3_orders_2 A C (tptp.k1_yellow_0 A D)) (tptp.r2_hidden B D))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v24_waybel_0 A) (tptp.l1_orders_2 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 $$unsorted)) (=> (and (not (tptp.v1_xboole_0 D)) (tptp.v1_waybel_0 D A) (tptp.v12_waybel_0 D A) (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (=> (tptp.r3_orders_2 A C (tptp.k1_yellow_0 A D)) (tptp.r2_hidden B D)))) (tptp.r1_waybel_3 A B C)))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v1_yellow_0 A) (tptp.l1_orders_2 A)) (=> (tptp.v2_waybel_2 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_waybel_3 A B C) (forall ((D $$unsorted)) (=> (and (not (tptp.v1_xboole_0 D)) (tptp.v1_waybel_0 D A) (tptp.v12_waybel_0 D A) (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (=> (= C (tptp.k1_yellow_0 A D)) (tptp.r2_hidden B D)))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_lattice3 A) (tptp.l1_orders_2 A)) (= (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (tptp.v1_waybel_3 B A))) (forall ((B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (exists ((C $$unsorted)) (and (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (tptp.r2_hidden C B) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (not (and (tptp.r2_hidden D B) (tptp.r2_orders_2 A C D)))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.l1_orders_2 A)) (= (tptp.v2_waybel_3 A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (= B (tptp.k1_yellow_0 A (tptp.k1_waybel_3 A B)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.l1_orders_2 A)) (= (tptp.v3_waybel_3 A) (and (forall ((B $$unsorted)) (let ((_let_1 (tptp.k1_waybel_3 A B))) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (and (not (tptp.v1_xboole_0 _let_1)) (tptp.v1_waybel_0 _let_1 A))))) (tptp.v24_waybel_0 A) (tptp.v2_waybel_3 A))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v2_lattice3 A) (tptp.v24_waybel_0 A) (tptp.l1_orders_2 A)) (=> (forall ((B $$unsorted)) (let ((_let_1 (tptp.k1_waybel_3 A B))) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (and (not (tptp.v1_xboole_0 _let_1)) (tptp.v1_waybel_0 _let_1 A))))) (= (tptp.v2_waybel_3 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 (tptp.r3_orders_2 A B C)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (not (and (tptp.r1_waybel_3 A D B) (not (tptp.r3_orders_2 A D C)))))))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_waybel_3 A) (tptp.l1_orders_2 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_orders_2 A B C) (tptp.r1_tarski (tptp.k1_waybel_3 A B) (tptp.k1_waybel_3 A C))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_lattice3 A) (tptp.l1_orders_2 A)) (=> (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (tptp.v1_waybel_3 B A))) (tptp.v2_waybel_3 A)))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (= (tptp.v4_waybel_3 A) (forall ((B $$unsorted)) (=> (tptp.l1_struct_0 B) (not (and (tptp.r2_hidden B (tptp.k2_relat_1 A)) (tptp.v3_struct_0 B)))))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (= (tptp.v5_waybel_3 A) (forall ((B $$unsorted)) (=> (tptp.l1_orders_2 B) (=> (tptp.r2_hidden B (tptp.k2_relat_1 A)) (tptp.v2_orders_2 B))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_yellow_1 B) (tptp.v4_waybel_3 B) (tptp.m1_pboole B A)) (forall ((C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (= (tptp.m1_subset_1 C (tptp.u1_struct_0 (tptp.k5_yellow_1 A B))) (and (= (tptp.k1_relat_1 C) A) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D A) (tptp.m1_subset_1 (tptp.k1_funct_1 C D) (tptp.u1_struct_0 (tptp.k3_waybel_3 A B D))))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_yellow_1 B) (tptp.v4_waybel_3 B) (tptp.m1_pboole B A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 (tptp.k5_yellow_1 A B))) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k5_yellow_1 A B))) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 _let_1)) (= (tptp.r1_orders_2 _let_1 C D) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E A) (tptp.r1_orders_2 (tptp.k3_waybel_3 A B E) (tptp.k4_waybel_3 A B C E) (tptp.k4_waybel_3 A B D E)))))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_yellow_1 B) (tptp.v4_waybel_3 B) (tptp.m1_pboole B A)) (=> (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C A) (tptp.v3_orders_2 (tptp.k3_waybel_3 A B C)))) (tptp.v3_orders_2 (tptp.k5_yellow_1 A B))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_yellow_1 B) (tptp.v4_waybel_3 B) (tptp.m1_pboole B A)) (=> (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C A) (tptp.v4_orders_2 (tptp.k3_waybel_3 A B C)))) (tptp.v4_orders_2 (tptp.k5_yellow_1 A B))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k5_yellow_1 A B))) (=> (and (tptp.v1_yellow_1 B) (tptp.v4_waybel_3 B) (tptp.v5_waybel_3 B) (tptp.m1_pboole B A)) (=> (forall ((C $$unsorted)) (let ((_let_1 (tptp.k6_waybel_3 A B C))) (=> (tptp.m1_subset_1 C A) (and (tptp.v2_orders_2 _let_1) (tptp.v3_orders_2 _let_1) (tptp.v4_orders_2 _let_1) (tptp.v1_lattice3 _let_1) (tptp.v2_lattice3 _let_1) (tptp.v3_lattice3 _let_1) (tptp.l1_orders_2 _let_1))))) (and (tptp.v2_orders_2 _let_1) (tptp.v3_orders_2 _let_1) (tptp.v4_orders_2 _let_1) (tptp.v1_lattice3 _let_1) (tptp.v2_lattice3 _let_1) (tptp.v3_lattice3 _let_1) (tptp.l1_orders_2 _let_1)))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_yellow_1 B) (tptp.v4_waybel_3 B) (tptp.v5_waybel_3 B) (tptp.m1_pboole B A)) (=> (forall ((C $$unsorted)) (let ((_let_1 (tptp.k6_waybel_3 A B C))) (=> (tptp.m1_subset_1 C A) (and (tptp.v2_orders_2 _let_1) (tptp.v3_orders_2 _let_1) (tptp.v4_orders_2 _let_1) (tptp.v1_lattice3 _let_1) (tptp.v2_lattice3 _let_1) (tptp.v3_lattice3 _let_1) (tptp.l1_orders_2 _let_1))))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 (tptp.k5_yellow_1 A B)))) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D A) (= (tptp.k7_waybel_3 A B (tptp.k1_yellow_0 (tptp.k5_yellow_1 A B) C) D) (tptp.k1_yellow_0 (tptp.k3_waybel_3 A B D) (tptp.k5_waybel_3 A B D C)))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_yellow_1 B) (tptp.v4_waybel_3 B) (tptp.v5_waybel_3 B) (tptp.m1_pboole B A)) (=> (forall ((C $$unsorted)) (let ((_let_1 (tptp.k6_waybel_3 A B C))) (=> (tptp.m1_subset_1 C A) (and (tptp.v2_orders_2 _let_1) (tptp.v3_orders_2 _let_1) (tptp.v4_orders_2 _let_1) (tptp.v1_lattice3 _let_1) (tptp.v2_lattice3 _let_1) (tptp.v3_lattice3 _let_1) (tptp.l1_orders_2 _let_1))))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 (tptp.k5_yellow_1 A B))) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k5_yellow_1 A B))) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 _let_1)) (= (tptp.r1_waybel_3 _let_1 C D) (and (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E A) (tptp.r1_waybel_3 (tptp.k6_waybel_3 A B E) (tptp.k7_waybel_3 A B C E) (tptp.k7_waybel_3 A B D E)))) (exists ((E $$unsorted)) (and (tptp.v1_finset_1 E) (tptp.m1_subset_1 E (tptp.k1_zfmisc_1 A)) (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F A) (=> (not (tptp.r2_hidden F E)) (= (tptp.k7_waybel_3 A B C F) (tptp.k3_yellow_0 (tptp.k6_waybel_3 A B F)))))))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 (tptp.k2_yellow_1 (tptp.u1_pre_topc A)))) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k2_yellow_1 (tptp.u1_pre_topc A)))) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 _let_1)) (=> (tptp.r1_waybel_3 _let_1 B C) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 _let_1))) (not (and (tptp.v1_tops_2 D A) (tptp.r1_tarski C (tptp.k5_setfam_1 _let_1 D)) (forall ((E $$unsorted)) (=> (and (tptp.v1_finset_1 E) (tptp.m1_subset_1 E (tptp.k1_zfmisc_1 D))) (not (tptp.r1_tarski B (tptp.k3_tarski 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.k2_yellow_1 (tptp.u1_pre_topc A)))) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k2_yellow_1 (tptp.u1_pre_topc A)))) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 _let_1)) (=> (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 _let_1))) (not (and (tptp.v1_tops_2 D A) (tptp.r1_tarski C (tptp.k5_setfam_1 _let_1 D)) (forall ((E $$unsorted)) (=> (and (tptp.v1_finset_1 E) (tptp.m1_subset_1 E (tptp.k1_zfmisc_1 D))) (not (tptp.r1_tarski B (tptp.k3_tarski E)))))))))) (tptp.r1_waybel_3 _let_1 B C))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 (tptp.k2_yellow_1 (tptp.u1_pre_topc A)))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (= B C) (= (tptp.v1_waybel_3 B (tptp.k2_yellow_1 (tptp.u1_pre_topc A))) (tptp.v6_compts_1 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)) (let ((_let_1 (tptp.k2_yellow_1 (tptp.u1_pre_topc A)))) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 _let_1)) (=> (= B (tptp.u1_struct_0 A)) (= (tptp.v1_waybel_3 B _let_1) (tptp.v2_compts_1 A)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (= (tptp.v6_waybel_3 A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (not (and (tptp.r2_hidden B C) (tptp.v3_pre_topc C A) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (not (and (tptp.r2_hidden B (tptp.k1_tops_1 A D)) (tptp.r1_tarski D C) (tptp.v6_compts_1 D A)))))))))))))) (forall ((A $$unsorted)) (tptp.v3_compts_1 (tptp.k2_pcomps_1 (tptp.k1_tarski A)))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 (tptp.k2_yellow_1 (tptp.u1_pre_topc A)))) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k2_yellow_1 (tptp.u1_pre_topc A)))) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 _let_1)) (=> (exists ((D $$unsorted)) (and (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (tptp.r1_tarski B D) (tptp.r1_tarski D C) (tptp.v6_compts_1 D A))) (tptp.r1_waybel_3 _let_1 B C))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (=> (tptp.v6_waybel_3 A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 (tptp.k2_yellow_1 (tptp.u1_pre_topc A)))) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k2_yellow_1 (tptp.u1_pre_topc A)))) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 _let_1)) (not (and (tptp.r1_waybel_3 _let_1 B C) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (not (and (tptp.r1_tarski B D) (tptp.r1_tarski D C) (tptp.v6_compts_1 D A))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (=> (and (tptp.v6_waybel_3 A) (tptp.v3_compts_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 (tptp.k2_yellow_1 (tptp.u1_pre_topc A)))) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k2_yellow_1 (tptp.u1_pre_topc A)))) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 _let_1)) (not (and (tptp.r1_waybel_3 _let_1 B C) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k6_pre_topc A D))) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (not (and (= D B) (tptp.r1_tarski _let_1 C) (tptp.v6_compts_1 _let_1 A)))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (=> (and (tptp.v4_compts_1 A) (tptp.v3_waybel_3 (tptp.k2_yellow_1 (tptp.u1_pre_topc A)))) (tptp.v6_waybel_3 A)))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (=> (tptp.v6_waybel_3 A) (tptp.v3_waybel_3 (tptp.k2_yellow_1 (tptp.u1_pre_topc A)))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.l1_orders_2 A) (tptp.m1_subset_1 B _let_1)) (tptp.m1_subset_1 (tptp.k1_waybel_3 A B) (tptp.k1_zfmisc_1 _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.l1_orders_2 A) (tptp.m1_subset_1 B _let_1)) (tptp.m1_subset_1 (tptp.k2_waybel_3 A B) (tptp.k1_zfmisc_1 _let_1))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k3_waybel_3 A B C))) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v1_yellow_1 B) (tptp.v4_waybel_3 B) (tptp.m1_pboole B A) (tptp.m1_subset_1 C A)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.l1_orders_2 _let_1))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v1_yellow_1 B) (tptp.v4_waybel_3 B) (tptp.m1_pboole B A) (tptp.m1_subset_1 C A)) (= (tptp.k3_waybel_3 A B C) (tptp.k1_funct_1 B C)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v1_yellow_1 B) (tptp.v4_waybel_3 B) (tptp.m1_pboole B A) (tptp.m1_subset_1 C (tptp.u1_struct_0 (tptp.k5_yellow_1 A B))) (tptp.m1_subset_1 D A)) (tptp.m1_subset_1 (tptp.k4_waybel_3 A B C D) (tptp.u1_struct_0 (tptp.k3_waybel_3 A B D))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v1_yellow_1 B) (tptp.v4_waybel_3 B) (tptp.m1_pboole B A) (tptp.m1_subset_1 C (tptp.u1_struct_0 (tptp.k5_yellow_1 A B))) (tptp.m1_subset_1 D A)) (= (tptp.k4_waybel_3 A B C D) (tptp.k1_funct_1 C D)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v1_yellow_1 B) (tptp.v4_waybel_3 B) (tptp.m1_pboole B A) (tptp.m1_subset_1 C A) (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 (tptp.k5_yellow_1 A B))))) (tptp.m1_subset_1 (tptp.k5_waybel_3 A B C D) (tptp.k1_zfmisc_1 (tptp.u1_struct_0 (tptp.k3_waybel_3 A B C)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v1_yellow_1 B) (tptp.v4_waybel_3 B) (tptp.m1_pboole B A) (tptp.m1_subset_1 C A) (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 (tptp.k5_yellow_1 A B))))) (= (tptp.k5_waybel_3 A B C D) (tptp.k5_card_3 C D)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k6_waybel_3 A B C))) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v1_yellow_1 B) (tptp.v4_waybel_3 B) (tptp.v5_waybel_3 B) (tptp.m1_pboole B A) (tptp.m1_subset_1 C A)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v2_orders_2 _let_1) (tptp.l1_orders_2 _let_1))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v1_yellow_1 B) (tptp.v4_waybel_3 B) (tptp.v5_waybel_3 B) (tptp.m1_pboole B A) (tptp.m1_subset_1 C A)) (= (tptp.k6_waybel_3 A B C) (tptp.k1_funct_1 B C)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v1_yellow_1 B) (tptp.v4_waybel_3 B) (tptp.v5_waybel_3 B) (tptp.m1_pboole B A) (tptp.m1_subset_1 C (tptp.u1_struct_0 (tptp.k5_yellow_1 A B))) (tptp.m1_subset_1 D A)) (tptp.m1_subset_1 (tptp.k7_waybel_3 A B C D) (tptp.u1_struct_0 (tptp.k6_waybel_3 A B D))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v1_yellow_1 B) (tptp.v4_waybel_3 B) (tptp.v5_waybel_3 B) (tptp.m1_pboole B A) (tptp.m1_subset_1 C (tptp.u1_struct_0 (tptp.k5_yellow_1 A B))) (tptp.m1_subset_1 D A)) (= (tptp.k7_waybel_3 A B C D) (tptp.k1_funct_1 C D)))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (= (tptp.k1_waybel_3 A B) (tptp.a_2_0_waybel_3 A B)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (= (tptp.k2_waybel_3 A B) (tptp.a_2_1_waybel_3 A B)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_orders_2 B) (tptp.l1_orders_2 B) (tptp.m1_subset_1 C (tptp.u1_struct_0 B))) (= (tptp.r2_hidden A (tptp.a_2_0_waybel_3 B C)) (exists ((D $$unsorted)) (and (tptp.m1_subset_1 D (tptp.u1_struct_0 B)) (= A D) (tptp.r1_waybel_3 B D C)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_orders_2 B) (tptp.l1_orders_2 B) (tptp.m1_subset_1 C (tptp.u1_struct_0 B))) (= (tptp.r2_hidden A (tptp.a_2_1_waybel_3 B C)) (exists ((D $$unsorted)) (and (tptp.m1_subset_1 D (tptp.u1_struct_0 B)) (= A D) (tptp.r1_waybel_3 B C D)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_relset_1 B _let_1 _let_1) (=> (tptp.v5_waybel_4 B A) (and (tptp.v1_waybel_4 B A) (tptp.v2_waybel_4 B A) (tptp.v3_waybel_4 B A) (tptp.v4_waybel_4 B A)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_relset_1 B _let_1 _let_1) (=> (and (tptp.v1_waybel_4 B A) (tptp.v2_waybel_4 B A) (tptp.v3_waybel_4 B A) (tptp.v4_waybel_4 B A)) (tptp.v5_waybel_4 B A))))))) (forall ((A $$unsorted)) (=> (and (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_yellow_0 A) (tptp.v1_lattice3 A) (tptp.l1_orders_2 A)) (exists ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (and (tptp.m1_relset_1 B _let_1 _let_1) (tptp.v1_relat_1 B) (tptp.v1_waybel_4 B A) (tptp.v2_waybel_4 B A) (tptp.v3_waybel_4 B A) (tptp.v4_waybel_4 B A) (tptp.v5_waybel_4 B A)))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_yellow_0 A) (tptp.v1_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_relset_1 B _let_1 _let_1) (=> (and (tptp.v1_waybel_4 B A) (tptp.v2_waybel_4 B A)) (tptp.v8_relat_2 B))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k2_waybel_4 A))) (=> (tptp.l1_orders_2 A) (and (tptp.v1_relat_1 _let_1) (tptp.v1_waybel_4 _let_1 A))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k2_waybel_4 A))) (=> (and (tptp.v3_orders_2 A) (tptp.l1_orders_2 A)) (and (tptp.v1_relat_1 _let_1) (tptp.v1_waybel_4 _let_1 A) (tptp.v2_waybel_4 _let_1 A))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k2_waybel_4 A))) (=> (and (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.l1_orders_2 A)) (and (tptp.v1_relat_1 _let_1) (tptp.v1_waybel_4 _let_1 A) (tptp.v3_waybel_4 _let_1 A))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k2_waybel_4 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_orders_2 A) (tptp.v1_yellow_0 A) (tptp.l1_orders_2 A)) (and (tptp.v1_relat_1 _let_1) (tptp.v1_waybel_4 _let_1 A) (tptp.v4_waybel_4 _let_1 A))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_yellow_0 A) (tptp.v1_lattice3 A) (tptp.l1_orders_2 A)) (not (tptp.v1_xboole_0 (tptp.k3_waybel_4 A))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k2_yellow_1 (tptp.k3_waybel_4 A)))) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_yellow_0 A) (tptp.v1_lattice3 A) (tptp.l1_orders_2 A)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v1_orders_2 _let_1) (tptp.v2_orders_2 _let_1) (tptp.v3_orders_2 _let_1) (tptp.v4_orders_2 _let_1) (tptp.v2_yellow_0 _let_1))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k4_waybel_4 A))) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_yellow_0 A) (tptp.v1_lattice3 A) (tptp.l1_orders_2 A)) (and (tptp.v1_relat_1 _let_1) (tptp.v8_relat_2 _let_1) (tptp.v1_waybel_4 _let_1 A) (tptp.v2_waybel_4 _let_1 A) (tptp.v3_waybel_4 _let_1 A) (tptp.v4_waybel_4 _let_1 A) (tptp.v5_waybel_4 _let_1 A))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k2_yellow_1 (tptp.k3_waybel_4 A)))) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_yellow_0 A) (tptp.v1_lattice3 A) (tptp.l1_orders_2 A)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v1_orders_2 _let_1) (tptp.v2_orders_2 _let_1) (tptp.v3_orders_2 _let_1) (tptp.v4_orders_2 _let_1) (tptp.v1_yellow_0 _let_1) (tptp.v2_yellow_0 _let_1))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k2_yellow_1 (tptp.k3_waybel_4 A)))) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_yellow_0 A) (tptp.v1_lattice3 A) (tptp.l1_orders_2 A)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v1_orders_2 _let_1) (tptp.v2_orders_2 _let_1) (tptp.v3_orders_2 _let_1) (tptp.v4_orders_2 _let_1) (tptp.v1_yellow_0 _let_1) (tptp.v2_yellow_0 _let_1) (tptp.v2_lattice3 _let_1))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k2_yellow_1 (tptp.k3_waybel_4 A)))) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_yellow_0 A) (tptp.v1_lattice3 A) (tptp.l1_orders_2 A)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v1_orders_2 _let_1) (tptp.v2_orders_2 _let_1) (tptp.v3_orders_2 _let_1) (tptp.v4_orders_2 _let_1) (tptp.v1_yellow_0 _let_1) (tptp.v2_yellow_0 _let_1) (tptp.v3_yellow_0 _let_1) (tptp.v24_waybel_0 _let_1) (tptp.v25_waybel_0 _let_1) (tptp.v1_lattice3 _let_1) (tptp.v2_lattice3 _let_1) (tptp.v3_lattice3 _let_1))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_yellow_0 A) (tptp.v1_lattice3 A) (tptp.l1_orders_2 A) (tptp.m1_subset_1 B _let_1) (tptp.v4_waybel_4 C A) (tptp.m1_relset_1 C _let_1 _let_1)) (not (tptp.v1_xboole_0 (tptp.k5_waybel_4 A B C)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_yellow_0 A) (tptp.v1_lattice3 A) (tptp.l1_orders_2 A) (tptp.m1_subset_1 B _let_1) (tptp.v2_waybel_4 C A) (tptp.m1_relset_1 C _let_1 _let_1)) (tptp.v12_waybel_0 (tptp.k5_waybel_4 A B C) A)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_yellow_0 A) (tptp.v1_lattice3 A) (tptp.l1_orders_2 A) (tptp.m1_subset_1 B _let_1) (tptp.v3_waybel_4 C A) (tptp.m1_relset_1 C _let_1 _let_1)) (tptp.v1_waybel_0 (tptp.k5_waybel_4 A B C) A)))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k2_yellow_1 (tptp.k8_waybel_0 A)))) (let ((_let_2 (tptp.k7_waybel_4 A B))) (let ((_let_3 (tptp.u1_struct_0 A))) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_yellow_0 A) (tptp.v1_lattice3 A) (tptp.l1_orders_2 A) (tptp.v2_waybel_4 B A) (tptp.v3_waybel_4 B A) (tptp.v4_waybel_4 B A) (tptp.m1_relset_1 B _let_3 _let_3)) (and (tptp.v1_relat_1 _let_2) (tptp.v1_funct_1 _let_2) (tptp.v1_funct_2 _let_2 _let_3 (tptp.u1_struct_0 _let_1)) (tptp.v5_orders_3 _let_2 A _let_1))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k8_waybel_4 A))) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_yellow_0 A) (tptp.v1_lattice3 A) (tptp.l1_orders_2 A)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v1_orders_2 _let_1))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k8_waybel_4 A))) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_yellow_0 A) (tptp.v1_lattice3 A) (tptp.l1_orders_2 A)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v1_orders_2 _let_1) (tptp.v2_yellow_0 _let_1))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k8_waybel_4 A))) (let ((_let_2 (tptp.k2_yellow_1 (tptp.k3_waybel_4 A)))) (let ((_let_3 (tptp.k9_waybel_4 A))) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_yellow_0 A) (tptp.v1_lattice3 A) (tptp.l1_orders_2 A)) (and (tptp.v1_relat_1 _let_3) (tptp.v1_funct_1 _let_3) (tptp.v1_funct_2 _let_3 (tptp.u1_struct_0 _let_2) (tptp.u1_struct_0 _let_1)) (tptp.v5_orders_3 _let_3 _let_2 _let_1))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k2_yellow_1 (tptp.k3_waybel_4 A)))) (let ((_let_2 (tptp.k8_waybel_4 A))) (let ((_let_3 (tptp.k10_waybel_4 A))) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_yellow_0 A) (tptp.v1_lattice3 A) (tptp.l1_orders_2 A)) (and (tptp.v1_relat_1 _let_3) (tptp.v1_funct_1 _let_3) (tptp.v1_funct_2 _let_3 (tptp.u1_struct_0 _let_2) (tptp.u1_struct_0 _let_1)) (tptp.v5_orders_3 _let_3 _let_2 _let_1))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k8_waybel_4 A))) (let ((_let_2 (tptp.k2_yellow_1 (tptp.k3_waybel_4 A)))) (let ((_let_3 (tptp.k9_waybel_4 A))) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_yellow_0 A) (tptp.v1_lattice3 A) (tptp.l1_orders_2 A)) (and (tptp.v1_relat_1 _let_3) (tptp.v1_funct_1 _let_3) (tptp.v2_funct_1 _let_3) (tptp.v1_funct_2 _let_3 (tptp.u1_struct_0 _let_2) (tptp.u1_struct_0 _let_1)) (tptp.v5_orders_3 _let_3 _let_2 _let_1))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.v2_lattice3 A))) (let ((_let_2 (tptp.v1_lattice3 A))) (let ((_let_3 (tptp.v1_yellow_0 A))) (let ((_let_4 (tptp.v4_orders_2 A))) (let ((_let_5 (tptp.v3_orders_2 A))) (let ((_let_6 (tptp.v2_orders_2 A))) (=> (tptp.l1_orders_2 A) (=> (and _let_6 _let_5 _let_4 _let_3 (tptp.v3_waybel_3 A) _let_2 _let_1) (and (not (tptp.v3_struct_0 A)) _let_6 _let_5 _let_4 _let_3 (tptp.v2_yellow_0 A) (tptp.v3_yellow_0 A) (tptp.v24_waybel_0 A) (tptp.v25_waybel_0 A) (not (tptp.v1_yellow_3 A)) (tptp.v1_waybel_2 A) (tptp.v2_waybel_2 A) _let_2 _let_1 (tptp.v3_lattice3 A))))))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k1_waybel_4 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v4_orders_2 A) (tptp.l1_orders_2 A)) (and (tptp.v1_relat_1 _let_1) (tptp.v1_waybel_4 _let_1 A))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k1_waybel_4 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.l1_orders_2 A)) (and (tptp.v1_relat_1 _let_1) (tptp.v2_waybel_4 _let_1 A))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k1_waybel_4 A))) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.l1_orders_2 A)) (and (tptp.v1_relat_1 _let_1) (tptp.v1_waybel_4 _let_1 A) (tptp.v2_waybel_4 _let_1 A) (tptp.v3_waybel_4 _let_1 A))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k1_waybel_4 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v25_waybel_0 A) (tptp.l1_orders_2 A)) (and (tptp.v1_relat_1 _let_1) (tptp.v1_waybel_4 _let_1 A) (tptp.v2_waybel_4 _let_1 A) (tptp.v3_waybel_4 _let_1 A))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k1_waybel_4 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_yellow_0 A) (tptp.l1_orders_2 A)) (and (tptp.v1_relat_1 _let_1) (tptp.v1_waybel_4 _let_1 A) (tptp.v4_waybel_4 _let_1 A))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k1_waybel_4 A))) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_yellow_0 A) (tptp.v3_waybel_3 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 A)) (and (tptp.v1_relat_1 _let_1) (tptp.v8_relat_2 _let_1) (tptp.v1_waybel_4 _let_1 A) (tptp.v2_waybel_4 _let_1 A) (tptp.v3_waybel_4 _let_1 A) (tptp.v4_waybel_4 _let_1 A) (tptp.v5_waybel_4 _let_1 A) (tptp.v6_waybel_4 _let_1 A))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_lattice3 A) (tptp.l1_orders_2 A)) (exists ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (and (tptp.m1_relset_1 B _let_1 _let_1) (tptp.v1_relat_1 B) (tptp.v8_relat_2 B) (tptp.v1_waybel_4 B A) (tptp.v2_waybel_4 B A) (tptp.v3_waybel_4 B A) (tptp.v4_waybel_4 B A) (tptp.v5_waybel_4 B A) (tptp.v6_waybel_4 B A)))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_lattice3 A) (tptp.l1_orders_2 A)) (not (tptp.v1_xboole_0 (tptp.k12_waybel_4 A))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_relset_1 B _let_1 _let_1) (=> (tptp.v8_waybel_4 B A) (tptp.v9_waybel_4 B A))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k1_waybel_4 A))) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_yellow_0 A) (tptp.v3_waybel_3 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 A)) (and (tptp.v1_relat_1 _let_1) (tptp.v8_relat_2 _let_1) (tptp.v1_waybel_4 _let_1 A) (tptp.v2_waybel_4 _let_1 A) (tptp.v3_waybel_4 _let_1 A) (tptp.v4_waybel_4 _let_1 A) (tptp.v5_waybel_4 _let_1 A) (tptp.v6_waybel_4 _let_1 A) (tptp.v8_waybel_4 _let_1 A) (tptp.v9_waybel_4 _let_1 A))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.v9_waybel_4 B A))) (let ((_let_2 (tptp.v6_waybel_4 B A))) (let ((_let_3 (tptp.v5_waybel_4 B A))) (let ((_let_4 (tptp.u1_struct_0 A))) (=> (tptp.m1_relset_1 B _let_4 _let_4) (=> (and _let_3 _let_2 _let_1) (and (tptp.v8_relat_2 B) (tptp.v1_waybel_4 B A) (tptp.v2_waybel_4 B A) (tptp.v3_waybel_4 B A) (tptp.v4_waybel_4 B A) _let_3 _let_2 (tptp.v8_waybel_4 B A) _let_1)))))))))) true (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m2_relset_1 B _let_1 _let_1) (= (= B (tptp.k1_waybel_4 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.k4_tarski C D) B) (tptp.r1_waybel_3 A C D)))))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_orders_2 A) (= (tptp.k2_waybel_4 A) (tptp.u1_orders_2 A)))) (forall ((A $$unsorted)) (=> (tptp.l1_orders_2 A) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m2_relset_1 B _let_1 _let_1) (= (tptp.v1_waybel_4 B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (=> (tptp.r2_hidden (tptp.k4_tarski C D) B) (tptp.r1_orders_2 A C D)))))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_orders_2 A) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m2_relset_1 B _let_1 _let_1) (= (tptp.v2_waybel_4 B A) (forall ((C $$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 $$unsorted)) (=> (tptp.m1_subset_1 F (tptp.u1_struct_0 A)) (=> (and (tptp.r1_orders_2 A F C) (tptp.r2_hidden (tptp.k4_tarski C D) B) (tptp.r1_orders_2 A D E)) (tptp.r2_hidden (tptp.k4_tarski F E) B)))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m2_relset_1 B _let_1 _let_1) (= (tptp.v3_waybel_4 B A) (forall ((C $$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)) (=> (and (tptp.r2_hidden (tptp.k4_tarski C E) B) (tptp.r2_hidden (tptp.k4_tarski D E) B)) (tptp.r2_hidden (tptp.k4_tarski (tptp.k10_lattice3 A C D) E) B)))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m2_relset_1 B _let_1 _let_1) (= (tptp.v4_waybel_4 B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (tptp.r2_hidden (tptp.k4_tarski (tptp.k3_yellow_0 A) C) B))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m2_relset_1 B _let_1 _let_1) (= (tptp.v5_waybel_4 B A) (and (tptp.v1_waybel_4 B A) (tptp.v2_waybel_4 B A) (tptp.v3_waybel_4 B A) (tptp.v4_waybel_4 B A)))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_yellow_0 A) (tptp.v1_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (tptp.v2_waybel_4 B A) (tptp.v3_waybel_4 B A) (tptp.m2_relset_1 B _let_1 _let_1)) (forall ((C $$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 $$unsorted)) (=> (tptp.m1_subset_1 F (tptp.u1_struct_0 A)) (=> (and (tptp.r2_hidden (tptp.k4_tarski C E) B) (tptp.r2_hidden (tptp.k4_tarski D F) B)) (tptp.r2_hidden (tptp.k4_tarski (tptp.k13_lattice3 A C D) (tptp.k13_lattice3 A E F)) B))))))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_yellow_0 A) (tptp.v1_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (= (= B (tptp.k3_waybel_4 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (= (tptp.r2_hidden C B) (and (tptp.v5_waybel_4 C A) (tptp.m2_relset_1 C _let_1 _let_1))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_yellow_0 A) (tptp.v1_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_waybel_4 B A) (tptp.m2_relset_1 B _let_1 _let_1)) (tptp.r1_tarski B (tptp.k2_waybel_4 A))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_yellow_0 A) (tptp.v1_lattice3 A) (tptp.l1_orders_2 A)) (= (tptp.k4_yellow_0 (tptp.k2_yellow_1 (tptp.k3_waybel_4 A))) (tptp.k2_waybel_4 A)))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m2_relset_1 B _let_1 _let_1) (= (= B (tptp.k4_waybel_4 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (= (tptp.r2_hidden (tptp.k4_tarski C D) B) (= C (tptp.k3_yellow_0 A))))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_yellow_0 A) (tptp.v1_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (tptp.v4_waybel_4 B A) (tptp.m2_relset_1 B _let_1 _let_1)) (tptp.r1_tarski (tptp.k4_waybel_4 A) B)))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_yellow_0 A) (tptp.v1_lattice3 A) (tptp.l1_orders_2 A)) (= (tptp.k3_yellow_0 (tptp.k2_yellow_1 (tptp.k3_waybel_4 A))) (tptp.k4_waybel_4 A)))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_yellow_0 A) (tptp.v1_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_waybel_4 B A) (tptp.m2_relset_1 B _let_1 _let_1)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.k2_relset_1 _let_1 _let_1 B C))) (=> (and (tptp.v1_waybel_4 C A) (tptp.m2_relset_1 C _let_1 _let_1)) (and (tptp.v1_waybel_4 _let_2 A) (tptp.m2_relset_1 _let_2 _let_1 _let_1))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_yellow_0 A) (tptp.v1_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (tptp.v2_waybel_4 B A) (tptp.m2_relset_1 B _let_1 _let_1)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.k2_relset_1 _let_1 _let_1 B C))) (=> (and (tptp.v2_waybel_4 C A) (tptp.m2_relset_1 C _let_1 _let_1)) (and (tptp.v2_waybel_4 _let_2 A) (tptp.m2_relset_1 _let_2 _let_1 _let_1))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_yellow_0 A) (tptp.v1_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (tptp.v3_waybel_4 B A) (tptp.m2_relset_1 B _let_1 _let_1)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.k2_relset_1 _let_1 _let_1 B C))) (=> (and (tptp.v3_waybel_4 C A) (tptp.m2_relset_1 C _let_1 _let_1)) (and (tptp.v3_waybel_4 _let_2 A) (tptp.m2_relset_1 _let_2 _let_1 _let_1))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_yellow_0 A) (tptp.v1_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (tptp.v4_waybel_4 B A) (tptp.m2_relset_1 B _let_1 _let_1)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.k2_relset_1 _let_1 _let_1 B C))) (=> (and (tptp.v4_waybel_4 C A) (tptp.m2_relset_1 C _let_1 _let_1)) (and (tptp.v4_waybel_4 _let_2 A) (tptp.m2_relset_1 _let_2 _let_1 _let_1))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_yellow_0 A) (tptp.v1_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (tptp.v5_waybel_4 B A) (tptp.m2_relset_1 B _let_1 _let_1)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.k2_relset_1 _let_1 _let_1 B C))) (=> (and (tptp.v5_waybel_4 C A) (tptp.m2_relset_1 C _let_1 _let_1)) (and (tptp.v5_waybel_4 _let_2 A) (tptp.m2_relset_1 _let_2 _let_1 _let_1))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_yellow_0 A) (tptp.v1_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.k1_setfam_1 B))) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 (tptp.k2_yellow_1 (tptp.k3_waybel_4 A)))))) (and (tptp.v5_waybel_4 _let_2 A) (tptp.m2_relset_1 _let_2 _let_1 _let_1)))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_yellow_0 A) (tptp.v1_lattice3 A) (tptp.l1_orders_2 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 (tptp.v1_waybel_4 C A) (tptp.m2_relset_1 C _let_1 _let_1)) (tptp.r1_tarski (tptp.k5_waybel_4 A B C) (tptp.k6_waybel_0 A B))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_yellow_0 A) (tptp.v1_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (tptp.v2_waybel_4 B A) (tptp.v3_waybel_4 B A) (tptp.v4_waybel_4 B A) (tptp.m2_relset_1 B _let_1 _let_1)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 (tptp.k2_yellow_1 (tptp.k8_waybel_0 A))))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.m2_relset_1 C _let_2 _let_1)) (= (= C (tptp.k7_waybel_4 A B)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (= (tptp.k1_waybel_0 A (tptp.k2_yellow_1 (tptp.k8_waybel_0 A)) C D) (tptp.k5_waybel_4 A D B)))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m2_relset_1 B _let_1 _let_1) (forall ((C $$unsorted) (D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (= (tptp.r2_hidden C (tptp.k5_waybel_4 A D B)) (tptp.r2_hidden (tptp.k4_tarski C D) B))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.v1_lattice3 B) (tptp.l1_orders_2 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (=> (tptp.m2_relset_1 C _let_1 _let_1) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 B)) (= (tptp.r2_hidden A (tptp.k6_waybel_4 B D C)) (tptp.r2_hidden (tptp.k4_tarski D A) C))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_yellow_0 A) (tptp.v1_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_waybel_4 B A) (tptp.m2_relset_1 B _let_1 _let_1)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (=> (= B (tptp.u1_orders_2 A)) (= (tptp.k5_waybel_4 A C B) (tptp.k6_waybel_0 A C)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_orders_2 B) (tptp.l1_orders_2 B)) (= (= B (tptp.k8_waybel_4 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.r2_hidden C (tptp.u1_struct_0 B)))) (and (not (and _let_1 (forall ((D $$unsorted)) (let ((_let_1 (tptp.k2_yellow_1 (tptp.k8_waybel_0 A)))) (let ((_let_2 (tptp.u1_struct_0 _let_1))) (let ((_let_3 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D _let_3 _let_2) (tptp.m2_relset_1 D _let_3 _let_2)) (not (and (= C D) (tptp.v5_orders_3 D A _let_1) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.u1_struct_0 A)) (tptp.r1_tarski (tptp.k1_waybel_0 A (tptp.k2_yellow_1 (tptp.k8_waybel_0 A)) D E) (tptp.k6_waybel_0 A E))))))))))))) (=> (exists ((D $$unsorted)) (let ((_let_1 (tptp.k2_yellow_1 (tptp.k8_waybel_0 A)))) (let ((_let_2 (tptp.u1_struct_0 _let_1))) (let ((_let_3 (tptp.u1_struct_0 A))) (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D _let_3 _let_2) (tptp.m2_relset_1 D _let_3 _let_2) (= C D) (tptp.v5_orders_3 D A _let_1) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.u1_struct_0 A)) (tptp.r1_tarski (tptp.k1_waybel_0 A (tptp.k2_yellow_1 (tptp.k8_waybel_0 A)) D E) (tptp.k6_waybel_0 A E))))))))) _let_1) (forall ((D $$unsorted) (E $$unsorted)) (= (tptp.r2_hidden (tptp.k4_tarski D E) (tptp.u1_orders_2 B)) (exists ((F $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 (tptp.k2_yellow_1 (tptp.k8_waybel_0 A))))) (let ((_let_2 (tptp.u1_struct_0 A))) (and (tptp.v1_funct_1 F) (tptp.v1_funct_2 F _let_2 _let_1) (tptp.m2_relset_1 F _let_2 _let_1) (exists ((G $$unsorted)) (let ((_let_1 (tptp.k2_yellow_1 (tptp.k8_waybel_0 A)))) (let ((_let_2 (tptp.u1_struct_0 A))) (let ((_let_3 (tptp.u1_struct_0 B))) (let ((_let_4 (tptp.u1_struct_0 _let_1))) (and (tptp.v1_funct_1 G) (tptp.v1_funct_2 G _let_2 _let_4) (tptp.m2_relset_1 G _let_2 _let_4) (= D F) (= E G) (tptp.r2_hidden D _let_3) (tptp.r2_hidden E _let_3) (tptp.r1_yellow_2 _let_2 _let_1 F G))))))))))))))))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k6_yellow_1 (tptp.u1_struct_0 A) (tptp.k2_yellow_1 (tptp.k8_waybel_0 A))))) (let ((_let_2 (tptp.k8_waybel_4 A))) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_yellow_0 A) (tptp.v1_lattice3 A) (tptp.l1_orders_2 A)) (and (tptp.v4_yellow_0 _let_2 _let_1) (tptp.m1_yellow_0 _let_2 _let_1)))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_yellow_0 A) (tptp.v1_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (tptp.v2_waybel_4 B A) (tptp.m2_relset_1 B _let_1 _let_1)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (=> (tptp.r3_orders_2 A C D) (tptp.r1_tarski (tptp.k5_waybel_4 A C B) (tptp.k5_waybel_4 A D B)))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_yellow_0 A) (tptp.v1_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (tptp.v5_waybel_4 B A) (tptp.m2_relset_1 B _let_1 _let_1)) (tptp.r2_hidden (tptp.k7_waybel_4 A B) (tptp.u1_struct_0 (tptp.k8_waybel_4 A)))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_yellow_0 A) (tptp.v1_lattice3 A) (tptp.l1_orders_2 A)) (tptp.r2_hidden (tptp.k4_yellow_2 A) (tptp.u1_struct_0 (tptp.k8_waybel_4 A))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_yellow_0 A) (tptp.v1_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (tptp.v5_waybel_4 B A) (tptp.m2_relset_1 B _let_1 _let_1)) (tptp.r1_yellow_2 _let_1 (tptp.k2_yellow_1 (tptp.k8_waybel_0 A)) (tptp.k7_waybel_4 A B) (tptp.k4_yellow_2 A))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_yellow_0 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.v1_waybel_0 B A) (tptp.v12_waybel_0 B A) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (tptp.r2_hidden (tptp.k3_yellow_0 A) B))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v2_yellow_0 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.v2_waybel_0 B A) (tptp.v13_waybel_0 B A) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (tptp.r2_hidden (tptp.k4_yellow_0 A) B))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k3_yellow_0 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_yellow_0 A) (tptp.l1_orders_2 A)) (= (tptp.k6_waybel_0 A _let_1) (tptp.k1_struct_0 A _let_1))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k4_yellow_0 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v2_yellow_0 A) (tptp.l1_orders_2 A)) (= (tptp.k7_waybel_0 A _let_1) (tptp.k1_struct_0 A _let_1))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 (tptp.k2_yellow_1 (tptp.k8_waybel_0 A))))) (let ((_let_2 (tptp.u1_struct_0 A))) (let ((_let_3 (tptp.k2_pre_circ _let_2 (tptp.k1_struct_0 A (tptp.k3_yellow_0 A))))) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_yellow_0 A) (tptp.v1_lattice3 A) (tptp.l1_orders_2 A)) (and (tptp.v1_funct_1 _let_3) (tptp.v1_funct_2 _let_3 _let_2 _let_1) (tptp.m2_relset_1 _let_3 _let_2 _let_1))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_yellow_0 A) (tptp.v1_lattice3 A) (tptp.l1_orders_2 A)) (tptp.r2_hidden (tptp.k2_pre_circ (tptp.u1_struct_0 A) (tptp.k1_struct_0 A (tptp.k3_yellow_0 A))) (tptp.u1_struct_0 (tptp.k8_waybel_4 A))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_yellow_0 A) (tptp.v1_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (tptp.v5_waybel_4 B A) (tptp.m2_relset_1 B _let_1 _let_1)) (tptp.r2_hidden (tptp.k4_tarski (tptp.k2_pre_circ _let_1 (tptp.k1_struct_0 A (tptp.k3_yellow_0 A))) (tptp.k7_waybel_4 A B)) (tptp.u1_orders_2 (tptp.k8_waybel_4 A)))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_yellow_0 A) (tptp.v1_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 (tptp.k8_waybel_4 A)))) (let ((_let_2 (tptp.u1_struct_0 (tptp.k2_yellow_1 (tptp.k3_waybel_4 A))))) (=> (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_waybel_4 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (tptp.v5_waybel_4 C A) (tptp.m2_relset_1 C _let_1 _let_1)) (= (tptp.k1_funct_1 B C) (tptp.k7_waybel_4 A C)))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_yellow_0 A) (tptp.v1_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (tptp.v5_waybel_4 B A) (tptp.m2_relset_1 B _let_1 _let_1)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (tptp.v5_waybel_4 C A) (tptp.m2_relset_1 C _let_1 _let_1)) (=> (tptp.r1_tarski B C) (tptp.r1_yellow_2 _let_1 (tptp.k2_yellow_1 (tptp.k8_waybel_0 A)) (tptp.k7_waybel_4 A B) (tptp.k7_waybel_4 A C))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_yellow_0 A) (tptp.v1_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m2_relset_1 C _let_1 _let_1) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m2_relset_1 D _let_1 _let_1) (=> (tptp.r1_tarski C D) (tptp.r1_tarski (tptp.k5_waybel_4 A B C) (tptp.k5_waybel_4 A B D))))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_yellow_0 A) (tptp.v1_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 (tptp.k2_yellow_1 (tptp.k3_waybel_4 A))))) (let ((_let_2 (tptp.u1_struct_0 (tptp.k8_waybel_4 A)))) (=> (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.k10_waybel_4 A)) (forall ((C $$unsorted)) (not (and (tptp.r2_hidden C (tptp.u1_struct_0 (tptp.k8_waybel_4 A))) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (tptp.v5_waybel_4 D A) (tptp.m2_relset_1 D _let_1 _let_1)) (not (and (= D (tptp.k1_funct_1 B C)) (forall ((E $$unsorted) (F $$unsorted)) (= (tptp.r2_hidden (tptp.k4_tarski E F) D) (exists ((G $$unsorted)) (and (tptp.m1_subset_1 G (tptp.u1_struct_0 A)) (exists ((H $$unsorted)) (and (tptp.m1_subset_1 H (tptp.u1_struct_0 A)) (exists ((I $$unsorted)) (let ((_let_1 (tptp.k2_yellow_1 (tptp.k8_waybel_0 A)))) (let ((_let_2 (tptp.u1_struct_0 _let_1))) (let ((_let_3 (tptp.u1_struct_0 A))) (and (tptp.v1_funct_1 I) (tptp.v1_funct_2 I _let_3 _let_2) (tptp.m2_relset_1 I _let_3 _let_2) (= G E) (= H F) (= I C) (tptp.r2_hidden G (tptp.k1_waybel_0 A _let_1 I H)))))))))))))))))))))))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k9_waybel_4 A))) (let ((_let_2 (tptp.u1_struct_0 (tptp.k8_waybel_4 A)))) (let ((_let_3 (tptp.u1_struct_0 (tptp.k2_yellow_1 (tptp.k3_waybel_4 A))))) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_yellow_0 A) (tptp.v1_lattice3 A) (tptp.l1_orders_2 A)) (= (tptp.k7_funct_2 _let_3 _let_2 _let_3 _let_1 (tptp.k10_waybel_4 A)) (tptp.k6_partfun1 (tptp.k4_relset_1 _let_3 _let_2 _let_1)))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 (tptp.k8_waybel_4 A)))) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_yellow_0 A) (tptp.v1_lattice3 A) (tptp.l1_orders_2 A)) (= (tptp.k7_funct_2 _let_1 (tptp.u1_struct_0 (tptp.k2_yellow_1 (tptp.k3_waybel_4 A))) _let_1 (tptp.k10_waybel_4 A) (tptp.k9_waybel_4 A)) (tptp.k6_partfun1 _let_1))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_yellow_0 A) (tptp.v1_lattice3 A) (tptp.l1_orders_2 A)) (= (tptp.k2_funct_1 (tptp.k9_waybel_4 A)) (tptp.k10_waybel_4 A)))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_yellow_0 A) (tptp.v1_lattice3 A) (tptp.l1_orders_2 A)) (tptp.v23_waybel_0 (tptp.k9_waybel_4 A) (tptp.k2_yellow_1 (tptp.k3_waybel_4 A)) (tptp.k8_waybel_4 A)))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.v1_waybel_0 B A) (tptp.v12_waybel_0 B A) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 (tptp.k2_yellow_1 (tptp.k8_waybel_0 A))))) (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)) (= (= C (tptp.k11_waybel_4 A B)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k6_waybel_0 A D))) (let ((_let_2 (tptp.k1_waybel_0 A (tptp.k2_yellow_1 (tptp.k8_waybel_0 A)) C D))) (let ((_let_3 (tptp.r3_orders_2 A D (tptp.k1_yellow_0 A B)))) (let ((_let_4 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 D _let_4) (and (=> _let_3 (= _let_2 (tptp.k5_subset_1 _let_4 _let_1 B))) (=> (not _let_3) (= _let_2 _let_1)))))))))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.v1_waybel_0 B A) (tptp.v12_waybel_0 B A) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (tptp.r2_hidden (tptp.k11_waybel_4 A B) (tptp.u1_struct_0 (tptp.k8_waybel_4 A))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v4_orders_2 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 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.v12_waybel_0 C A) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 _let_1))) (= (tptp.k4_yellow_4 A (tptp.k1_struct_0 A B) C) (tptp.k5_subset_1 _let_1 (tptp.k6_waybel_0 A B) C))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m2_relset_1 B _let_1 _let_1) (= (tptp.v6_waybel_4 B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= C (tptp.k1_yellow_0 A (tptp.k5_waybel_4 A C B))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 (tptp.k2_yellow_1 (tptp.k8_waybel_0 A))))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_2 _let_1) (tptp.m2_relset_1 B _let_2 _let_1)) (= (tptp.v7_waybel_4 B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (exists ((D $$unsorted)) (and (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= D (tptp.k1_waybel_0 A (tptp.k2_yellow_1 (tptp.k8_waybel_0 A)) B C)) (= C (tptp.k1_yellow_0 A D))))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_yellow_0 A) (tptp.v2_waybel_2 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.v1_waybel_0 B A) (tptp.v12_waybel_0 B A) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (tptp.v7_waybel_4 (tptp.k11_waybel_4 A B) A))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_yellow_0 A) (tptp.v3_waybel_3 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 A)) (tptp.v2_waybel_2 A))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_yellow_0 A) (tptp.v3_waybel_3 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.v1_waybel_0 B A) (tptp.v12_waybel_0 B A) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (tptp.v7_waybel_4 (tptp.k11_waybel_4 A B) A))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (= (tptp.k5_waybel_4 A B (tptp.k1_waybel_4 A)) (tptp.k1_waybel_3 A B)))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 A)) (tptp.v6_waybel_4 (tptp.k2_waybel_4 A) A))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (= (= B (tptp.k12_waybel_4 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (= (tptp.r2_hidden C B) (and (tptp.v5_waybel_4 C A) (tptp.v6_waybel_4 C A) (tptp.m2_relset_1 C _let_1 _let_1))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 (tptp.k2_yellow_1 (tptp.k8_waybel_0 A))))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_2 _let_1) (tptp.m2_relset_1 B _let_2 _let_1)) (not (and (tptp.v7_waybel_4 B A) (tptp.r2_hidden B (tptp.u1_struct_0 (tptp.k8_waybel_4 A))) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (tptp.v5_waybel_4 C A) (tptp.v6_waybel_4 C A) (tptp.m2_relset_1 C _let_1 _let_1)) (not (= C (tptp.k1_funct_1 (tptp.k10_waybel_4 A) B)))))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_lattice3 A) (tptp.l1_orders_2 A)) (= (tptp.v3_waybel_3 A) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k1_waybel_4 A))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (tptp.v5_waybel_4 B A) (tptp.v6_waybel_4 B A) (tptp.m2_relset_1 B _let_2 _let_2)) (and (tptp.r1_tarski _let_1 B) (tptp.v6_waybel_4 _let_1 A))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_lattice3 A) (tptp.l1_orders_2 A)) (= (tptp.v3_waybel_3 A) (and (tptp.v2_waybel_2 A) (exists ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (and (tptp.v5_waybel_4 B A) (tptp.v6_waybel_4 B A) (tptp.m2_relset_1 B _let_1 _let_1) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (tptp.v5_waybel_4 C A) (tptp.v6_waybel_4 C A) (tptp.m2_relset_1 C _let_1 _let_1)) (tptp.r1_tarski B C))))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_orders_2 A) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m2_relset_1 B _let_1 _let_1) (= (tptp.v8_waybel_4 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)) (not (and (tptp.r2_hidden (tptp.k4_tarski C D) B) (not (= C D)) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.u1_struct_0 A)) (not (and (tptp.r2_hidden (tptp.k4_tarski C E) B) (tptp.r2_hidden (tptp.k4_tarski E D) B) (not (= C E)))))))))))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_orders_2 A) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m2_relset_1 B _let_1 _let_1) (= (tptp.v9_waybel_4 B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (not (and (tptp.r2_hidden (tptp.k4_tarski C D) B) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.u1_struct_0 A)) (not (and (tptp.r2_hidden (tptp.k4_tarski C E) B) (tptp.r2_hidden (tptp.k4_tarski E D) B))))))))))))))))) true (forall ((A $$unsorted)) (=> (tptp.l1_orders_2 A) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m2_relset_1 B _let_1 _let_1) (=> (tptp.v8_waybel_4 B A) (tptp.v9_waybel_4 B A))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$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 (tptp.v6_waybel_4 D A) (tptp.m2_relset_1 D _let_1 _let_1)) (not (and (not (tptp.r3_orders_2 A B C)) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.u1_struct_0 A)) (not (and (tptp.r2_hidden (tptp.k4_tarski E B) D) (not (tptp.r3_orders_2 A E C))))))))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_lattice3 A) (tptp.l1_orders_2 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 $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_waybel_4 D A) (tptp.v3_waybel_4 D A) (tptp.v6_waybel_4 D A) (tptp.m2_relset_1 D _let_1 _let_1)) (not (and (tptp.r2_hidden (tptp.k4_tarski B C) D) (not (= B C)) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.u1_struct_0 A)) (not (and (tptp.r3_orders_2 A B E) (tptp.r2_hidden (tptp.k4_tarski E C) D) (not (= B E))))))))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$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 (tptp.v5_waybel_4 D A) (tptp.v6_waybel_4 D A) (tptp.m2_relset_1 D _let_1 _let_1)) (not (and (tptp.r1_waybel_3 A B C) (not (= B C)) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.u1_struct_0 A)) (not (and (tptp.r2_hidden (tptp.k4_tarski B E) D) (tptp.r2_hidden (tptp.k4_tarski E C) D) (not (= B E))))))))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_yellow_0 A) (tptp.v3_waybel_3 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 A)) (tptp.v8_waybel_4 (tptp.k1_waybel_4 A) A))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_yellow_0 A) (tptp.v3_waybel_3 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (not (and (tptp.r1_waybel_3 A B C) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (not (and (tptp.r1_waybel_3 A B D) (tptp.r1_waybel_3 A D C))))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_yellow_0 A) (tptp.v3_waybel_3 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (tptp.r1_waybel_3 A B C) (forall ((D $$unsorted)) (=> (and (not (tptp.v1_xboole_0 D)) (tptp.v1_waybel_0 D A) (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (not (and (tptp.r3_orders_2 A C (tptp.k1_yellow_0 A D)) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.u1_struct_0 A)) (not (and (tptp.r2_hidden E D) (tptp.r1_waybel_3 A B E)))))))))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_orders_2 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.m2_relset_1 C _let_1 _let_1) (= (tptp.r1_waybel_4 A B C) (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)) (not (and (tptp.r2_hidden D B) (tptp.r2_hidden E B) (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F (tptp.u1_struct_0 A)) (not (and (tptp.r2_hidden F B) (tptp.r2_hidden (tptp.k4_tarski D F) C) (tptp.r2_hidden (tptp.k4_tarski E F) C))))))))))))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_orders_2 A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (tptp.r1_waybel_4 A B (tptp.u1_orders_2 A)) (tptp.v1_waybel_0 B A)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.v1_relat_1 C) (= (tptp.r2_waybel_4 A B C) (and (tptp.r2_hidden B A) (forall ((D $$unsorted)) (not (and (tptp.r2_hidden D A) (not (= D B)) (tptp.r2_hidden (tptp.k4_tarski B D) C)))))))) (forall ((A $$unsorted)) (=> (tptp.l1_orders_2 A) (forall ((B $$unsorted) (C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (tptp.r3_waybel_4 A B C) (tptp.r2_waybel_4 B C (tptp.u1_orders_2 A))))))) (forall ((A $$unsorted)) (=> (tptp.l1_orders_2 A) (forall ((B $$unsorted) (C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (tptp.r3_waybel_4 A B C) (and (tptp.r2_hidden C B) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (not (and (tptp.r2_hidden D B) (tptp.r2_orders_2 A C D))))))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.v1_relat_1 C) (= (tptp.r4_waybel_4 A B C) (and (tptp.r2_hidden B A) (forall ((D $$unsorted)) (not (and (tptp.r2_hidden D A) (not (= D B)) (tptp.r2_hidden (tptp.k4_tarski D B) C)))))))) (forall ((A $$unsorted)) (=> (tptp.l1_orders_2 A) (forall ((B $$unsorted) (C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (tptp.r5_waybel_4 A B C) (tptp.r4_waybel_4 B C (tptp.u1_orders_2 A))))))) (forall ((A $$unsorted)) (=> (tptp.l1_orders_2 A) (forall ((B $$unsorted) (C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (tptp.r5_waybel_4 A B C) (and (tptp.r2_hidden C B) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (not (and (tptp.r2_hidden D B) (tptp.r2_orders_2 A D C))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m2_relset_1 B _let_1 _let_1) (=> (tptp.v8_waybel_4 B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (=> (exists ((D $$unsorted)) (and (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (tptp.r2_waybel_4 (tptp.k5_waybel_4 A C B) D B))) (tptp.r2_hidden (tptp.k4_tarski C C) B)))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m2_relset_1 B _let_1 _let_1) (=> (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (=> (exists ((D $$unsorted)) (and (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (tptp.r2_waybel_4 (tptp.k5_waybel_4 A C B) D B))) (tptp.r2_hidden (tptp.k4_tarski C C) B)))) (tptp.v8_waybel_4 B A))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (tptp.v2_waybel_4 B A) (tptp.v3_waybel_4 B A) (tptp.m2_relset_1 B _let_1 _let_1)) (=> (tptp.v9_waybel_4 B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (tptp.r1_waybel_4 A (tptp.k5_waybel_4 A C B) B))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m2_relset_1 B _let_1 _let_1) (=> (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (tptp.r1_waybel_4 A (tptp.k5_waybel_4 A C B) B))) (tptp.v9_waybel_4 B A))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_waybel_4 B A) (tptp.v2_waybel_4 B A) (tptp.v3_waybel_4 B A) (tptp.v6_waybel_4 B A) (tptp.m2_relset_1 B _let_1 _let_1)) (=> (tptp.v9_waybel_4 B A) (tptp.v8_waybel_4 B A))))))) (exists ((A $$unsorted)) (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (= (tptp.k1_relat_1 A) tptp.f1_s1_waybel_4) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k1_funct_1 A B))) (let ((_let_2 (tptp.p1_s1_waybel_4 B))) (=> (tptp.m1_subset_1 B tptp.f1_s1_waybel_4) (and (=> _let_2 (= _let_1 (tptp.f2_s1_waybel_4 B))) (=> (not _let_2) (= _let_1 (tptp.f3_s1_waybel_4 B)))))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.l1_orders_2 A)) (tptp.m2_relset_1 (tptp.k1_waybel_4 A) _let_1 _let_1)))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.l1_orders_2 A) (tptp.m2_relset_1 (tptp.k2_waybel_4 A) _let_1 _let_1)))) true (forall ((A $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (tptp.m2_relset_1 (tptp.k4_waybel_4 A) _let_1 _let_1)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A) (tptp.m1_subset_1 B _let_1) (tptp.m1_relset_1 C _let_1 _let_1)) (tptp.m1_subset_1 (tptp.k5_waybel_4 A B C) (tptp.k1_zfmisc_1 _let_1))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A) (tptp.m1_subset_1 B _let_1) (tptp.m1_relset_1 C _let_1 _let_1)) (tptp.m1_subset_1 (tptp.k6_waybel_4 A B C) (tptp.k1_zfmisc_1 _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 (tptp.k2_yellow_1 (tptp.k8_waybel_0 A))))) (let ((_let_2 (tptp.u1_struct_0 A))) (let ((_let_3 (tptp.k7_waybel_4 A B))) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_yellow_0 A) (tptp.v1_lattice3 A) (tptp.l1_orders_2 A) (tptp.v2_waybel_4 B A) (tptp.v3_waybel_4 B A) (tptp.v4_waybel_4 B A) (tptp.m1_relset_1 B _let_2 _let_2)) (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 $$unsorted)) (let ((_let_1 (tptp.k8_waybel_4 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.l1_orders_2 A)) (and (tptp.v1_orders_2 _let_1) (tptp.l1_orders_2 _let_1))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 (tptp.k8_waybel_4 A)))) (let ((_let_2 (tptp.u1_struct_0 (tptp.k2_yellow_1 (tptp.k3_waybel_4 A))))) (let ((_let_3 (tptp.k9_waybel_4 A))) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_yellow_0 A) (tptp.v1_lattice3 A) (tptp.l1_orders_2 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 $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 (tptp.k2_yellow_1 (tptp.k3_waybel_4 A))))) (let ((_let_2 (tptp.u1_struct_0 (tptp.k8_waybel_4 A)))) (let ((_let_3 (tptp.k10_waybel_4 A))) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_yellow_0 A) (tptp.v1_lattice3 A) (tptp.l1_orders_2 A)) (and (tptp.v1_funct_1 _let_3) (tptp.v1_funct_2 _let_3 _let_2 _let_1) (tptp.m2_relset_1 _let_3 _let_2 _let_1))))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 (tptp.k2_yellow_1 (tptp.k8_waybel_0 A))))) (let ((_let_2 (tptp.u1_struct_0 A))) (let ((_let_3 (tptp.k11_waybel_4 A B))) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 A) (not (tptp.v1_xboole_0 B)) (tptp.v1_waybel_0 B A) (tptp.v12_waybel_0 B A) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 _let_2))) (and (tptp.v1_funct_1 _let_3) (tptp.v1_funct_2 _let_3 _let_2 _let_1) (tptp.m2_relset_1 _let_3 _let_2 _let_1))))))) true (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 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.m2_relset_1 C _let_1 _let_1) (= (tptp.k5_waybel_4 A B C) (tptp.a_3_0_waybel_4 A B C))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m2_relset_1 C _let_1 _let_1) (= (tptp.k6_waybel_4 A B C) (tptp.a_3_1_waybel_4 A B C))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (= (tptp.k1_setfam_1 (tptp.a_2_0_waybel_4 A B)) (tptp.k1_waybel_3 A B)))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (= (tptp.k1_setfam_1 (tptp.a_2_1_waybel_4 A B)) (tptp.k1_waybel_3 A B)))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_yellow_0 A) (tptp.v2_waybel_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (= (tptp.k1_setfam_1 (tptp.a_2_2_waybel_4 A B)) (tptp.k1_waybel_3 A B)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (=> (and (not (tptp.v3_struct_0 B)) (tptp.l1_orders_2 B) (tptp.m1_subset_1 C _let_1) (tptp.m2_relset_1 D _let_1 _let_1)) (= (tptp.r2_hidden A (tptp.a_3_0_waybel_4 B C D)) (exists ((E $$unsorted)) (and (tptp.m1_subset_1 E (tptp.u1_struct_0 B)) (= A E) (tptp.r2_hidden (tptp.k4_tarski E C) D))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (=> (and (not (tptp.v3_struct_0 B)) (tptp.l1_orders_2 B) (tptp.m1_subset_1 C _let_1) (tptp.m2_relset_1 D _let_1 _let_1)) (= (tptp.r2_hidden A (tptp.a_3_1_waybel_4 B C D)) (exists ((E $$unsorted)) (and (tptp.m1_subset_1 E (tptp.u1_struct_0 B)) (= A E) (tptp.r2_hidden (tptp.k4_tarski C E) D))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.v1_lattice3 B) (tptp.v2_lattice3 B) (tptp.v3_lattice3 B) (tptp.l1_orders_2 B) (tptp.m1_subset_1 C (tptp.u1_struct_0 B))) (= (tptp.r2_hidden A (tptp.a_2_0_waybel_4 B C)) (exists ((D $$unsorted)) (and (not (tptp.v1_xboole_0 D)) (tptp.v1_waybel_0 D B) (tptp.v12_waybel_0 D B) (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B))) (= A D) (tptp.r3_orders_2 B C (tptp.k1_yellow_0 B D))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.v1_lattice3 B) (tptp.v2_lattice3 B) (tptp.v3_lattice3 B) (tptp.l1_orders_2 B) (tptp.m1_subset_1 C (tptp.u1_struct_0 B))) (= (tptp.r2_hidden A (tptp.a_2_1_waybel_4 B C)) (exists ((D $$unsorted)) (and (not (tptp.v1_xboole_0 D)) (tptp.v1_waybel_0 D B) (tptp.v12_waybel_0 D B) (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B))) (= A (tptp.k1_waybel_0 B (tptp.k2_yellow_1 (tptp.k8_waybel_0 B)) (tptp.k11_waybel_4 B D) C))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.v1_yellow_0 B) (tptp.v2_waybel_2 B) (tptp.v1_lattice3 B) (tptp.v2_lattice3 B) (tptp.l1_orders_2 B) (tptp.m1_subset_1 C (tptp.u1_struct_0 B))) (= (tptp.r2_hidden A (tptp.a_2_2_waybel_4 B C)) (exists ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (and (tptp.v5_waybel_4 D B) (tptp.m2_relset_1 D _let_1 _let_1) (= A (tptp.k5_waybel_4 B C D)) (tptp.r2_hidden D (tptp.k12_waybel_4 B)))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (= (tptp.k13_lattice3 A B B) B))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v4_orders_2 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (= (tptp.k12_lattice3 A B B) B))))) (forall ((A $$unsorted)) (=> (and (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.l1_orders_2 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 $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (=> (tptp.r1_orders_2 A (tptp.k13_lattice3 A B C) D) (tptp.r1_orders_2 A B D)))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 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 $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (=> (tptp.r1_orders_2 A D (tptp.k12_lattice3 A B C)) (tptp.r1_orders_2 A D B)))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 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 $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (tptp.r1_orders_2 A (tptp.k12_lattice3 A B C) (tptp.k13_lattice3 A B D)))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 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 $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (=> (tptp.r1_orders_2 A B C) (tptp.r1_orders_2 A (tptp.k12_lattice3 A B D) (tptp.k12_lattice3 A C D))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.l1_orders_2 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 $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (=> (tptp.r1_orders_2 A B C) (tptp.r1_orders_2 A (tptp.k13_lattice3 A B D) (tptp.k13_lattice3 A C D))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.l1_orders_2 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_orders_2 A B C) (= (tptp.k13_lattice3 A B C) C)))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$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_orders_2 A B D) (tptp.r3_orders_2 A C D)) (tptp.r3_orders_2 A (tptp.k13_lattice3 A B C) D)))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (=> (tptp.r3_orders_2 A C B) (= (tptp.k12_lattice3 A B C) C)))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v11_waybel_1 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 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.r6_waybel_1 A B C) (= C (tptp.k7_waybel_1 A B))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (tptp.k1_yellow_5 A B C) (tptp.k11_lattice3 A B (tptp.k7_waybel_1 A C))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 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_yellow_5 A B C) (tptp.k10_lattice3 A (tptp.k1_yellow_5 A B C) (tptp.k1_yellow_5 A C B))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (tptp.r1_yellow_5 A B C) (not (= (tptp.k11_lattice3 A B C) (tptp.k3_yellow_0 A)))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 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 $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (=> (tptp.r1_orders_2 A B D) (tptp.r1_orders_2 A (tptp.k1_yellow_5 A B C) D)))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 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 $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (=> (tptp.r1_orders_2 A B C) (tptp.r1_orders_2 A (tptp.k1_yellow_5 A B D) (tptp.k1_yellow_5 A C D))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 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_orders_2 A (tptp.k1_yellow_5 A B C) B))))))) (forall ((A $$unsorted)) (=> (and (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (tptp.r1_orders_2 A (tptp.k1_yellow_5 A B C) (tptp.k3_yellow_5 A B C)))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 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 $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (=> (and (tptp.r3_orders_2 A (tptp.k1_yellow_5 A B C) D) (tptp.r3_orders_2 A (tptp.k1_yellow_5 A C B) D)) (tptp.r3_orders_2 A (tptp.k3_yellow_5 A B C) D)))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (= (tptp.r2_yellow_5 A B B) (not (= B (tptp.k3_yellow_0 A)))))))) (forall ((A $$unsorted)) (=> (and (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 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 $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (= (tptp.k12_lattice3 A B (tptp.k1_yellow_5 A C D)) (tptp.k1_yellow_5 A (tptp.k12_lattice3 A B C) D)))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 A)) (=> (tptp.v2_waybel_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 $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (=> (= (tptp.k10_lattice3 A (tptp.k12_lattice3 A B C) (tptp.k12_lattice3 A B D)) B) (tptp.r1_orders_2 A B (tptp.k10_lattice3 A C D)))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 A)) (=> (tptp.v2_waybel_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 $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (= (tptp.k13_lattice3 A B (tptp.k12_lattice3 A C D)) (tptp.k12_lattice3 A (tptp.k13_lattice3 A B C) (tptp.k13_lattice3 A B D)))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 A)) (=> (tptp.v2_waybel_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 $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (= (tptp.k1_yellow_5 A (tptp.k13_lattice3 A B C) D) (tptp.k13_lattice3 A (tptp.k1_yellow_5 A B D) (tptp.k1_yellow_5 A C D)))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_orders_2 A) (tptp.v1_yellow_0 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k3_yellow_0 A))) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (=> (tptp.r1_orders_2 A B _let_1) (= B _let_1))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_yellow_0 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 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 $$unsorted)) (let ((_let_1 (tptp.k3_yellow_0 A))) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (=> (and (tptp.r3_orders_2 A B C) (tptp.r3_orders_2 A B D) (= (tptp.k12_lattice3 A C D) _let_1)) (= B _let_1))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v4_orders_2 A) (tptp.v1_yellow_0 A) (tptp.v1_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k3_yellow_0 A))) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (=> (= (tptp.k13_lattice3 A B C) _let_1) (and (= B _let_1) (= C _let_1)))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_yellow_0 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$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_yellow_0 A))) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (=> (and (tptp.r1_orders_2 A B C) (= (tptp.k12_lattice3 A C D) _let_1)) (= (tptp.k12_lattice3 A B D) _let_1))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_yellow_0 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k3_yellow_0 A))) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (= (tptp.k1_yellow_5 A _let_1 B) _let_1)))))) (forall ((A $$unsorted)) (=> (and (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_yellow_0 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$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.r2_yellow_5 A B C) (tptp.r1_orders_2 A C D)) (tptp.r2_yellow_5 A B D)))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v4_orders_2 A) (tptp.v1_yellow_0 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k3_yellow_0 A))) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (= (tptp.k12_lattice3 A B _let_1) _let_1)))))) (forall ((A $$unsorted)) (=> (and (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_yellow_0 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$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.r2_yellow_5 A B (tptp.k12_lattice3 A C D)) (tptp.r2_yellow_5 A B C)))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_yellow_0 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$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.r2_yellow_5 A B (tptp.k1_yellow_5 A C D)) (tptp.r2_yellow_5 A B C)))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_yellow_0 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (not (tptp.r1_yellow_5 A B (tptp.k3_yellow_0 A))))))) (forall ((A $$unsorted)) (=> (and (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_yellow_0 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$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)) (not (and (not (tptp.r1_yellow_5 A B D)) (tptp.r1_orders_2 A C D) (tptp.r1_yellow_5 A B C))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_yellow_0 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$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)) (not (and (not (and (tptp.r1_yellow_5 A B C) (tptp.r1_yellow_5 A B D))) (tptp.r1_yellow_5 A B (tptp.k12_lattice3 A C D)))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_yellow_0 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$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_orders_2 A B C) (tptp.r3_orders_2 A B D)) (or (tptp.r1_yellow_5 A C D) (= B (tptp.k3_yellow_0 A)))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_yellow_0 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$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)) (not (and (not (tptp.r1_yellow_5 A B C)) (tptp.r1_yellow_5 A (tptp.k12_lattice3 A B D) (tptp.k12_lattice3 A C D)))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v11_waybel_1 A) (tptp.l1_orders_2 A)) (forall ((B $$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.k13_lattice3 A (tptp.k13_lattice3 A (tptp.k12_lattice3 A B C) (tptp.k12_lattice3 A C D)) (tptp.k12_lattice3 A D B)) (tptp.k12_lattice3 A (tptp.k12_lattice3 A (tptp.k13_lattice3 A B C) (tptp.k13_lattice3 A C D)) (tptp.k13_lattice3 A D B))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v11_waybel_1 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k7_waybel_1 A B))) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (and (= (tptp.k12_lattice3 A B _let_1) (tptp.k3_yellow_0 A)) (= (tptp.k13_lattice3 A B _let_1) (tptp.k4_yellow_0 A)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v11_waybel_1 A) (tptp.l1_orders_2 A)) (forall ((B $$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_orders_2 A (tptp.k1_yellow_5 A B C) D) (tptp.r3_orders_2 A B (tptp.k13_lattice3 A C D))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v11_waybel_1 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k7_waybel_1 A C))) (let ((_let_2 (tptp.k7_waybel_1 A B))) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (and (= (tptp.k7_waybel_1 A (tptp.k13_lattice3 A B C)) (tptp.k12_lattice3 A _let_2 _let_1)) (= (tptp.k7_waybel_1 A (tptp.k12_lattice3 A B C)) (tptp.k13_lattice3 A _let_2 _let_1))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v11_waybel_1 A) (tptp.l1_orders_2 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_orders_2 A B C) (tptp.r3_orders_2 A (tptp.k7_waybel_1 A C) (tptp.k7_waybel_1 A B))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v11_waybel_1 A) (tptp.l1_orders_2 A)) (forall ((B $$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_orders_2 A B C) (tptp.r3_orders_2 A (tptp.k1_yellow_5 A D C) (tptp.k1_yellow_5 A D B))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v11_waybel_1 A) (tptp.l1_orders_2 A)) (forall ((B $$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 $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.u1_struct_0 A)) (=> (and (tptp.r3_orders_2 A B C) (tptp.r3_orders_2 A D E)) (tptp.r3_orders_2 A (tptp.k1_yellow_5 A B E) (tptp.k1_yellow_5 A C D))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v11_waybel_1 A) (tptp.l1_orders_2 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 $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (=> (tptp.r3_orders_2 A B (tptp.k13_lattice3 A C D)) (and (tptp.r3_orders_2 A (tptp.k1_yellow_5 A B C) D) (tptp.r3_orders_2 A (tptp.k1_yellow_5 A B D) C))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v11_waybel_1 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k7_waybel_1 A (tptp.k12_lattice3 A B C)))) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (and (tptp.r3_orders_2 A (tptp.k7_waybel_1 A B) _let_1) (tptp.r3_orders_2 A (tptp.k7_waybel_1 A C) _let_1))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v11_waybel_1 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k7_waybel_1 A (tptp.k13_lattice3 A B C)))) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (and (tptp.r3_orders_2 A _let_1 (tptp.k7_waybel_1 A B)) (tptp.r3_orders_2 A _let_1 (tptp.k7_waybel_1 A C)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v11_waybel_1 A) (tptp.l1_orders_2 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_orders_2 A B (tptp.k1_yellow_5 A C B)) (= B (tptp.k3_yellow_0 A))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v11_waybel_1 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (=> (tptp.r3_orders_2 A B C) (= C (tptp.k13_lattice3 A B (tptp.k1_yellow_5 A C B)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v11_waybel_1 A) (tptp.l1_orders_2 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_yellow_5 A B C) (tptp.k3_yellow_0 A)) (tptp.r3_orders_2 A B C)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v11_waybel_1 A) (tptp.l1_orders_2 A)) (forall ((B $$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_orders_2 A B (tptp.k13_lattice3 A C D)) (= (tptp.k12_lattice3 A B D) (tptp.k3_yellow_0 A))) (tptp.r3_orders_2 A B C)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v11_waybel_1 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (tptp.k13_lattice3 A B C) (tptp.k13_lattice3 A (tptp.k1_yellow_5 A B C) C)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v11_waybel_1 A) (tptp.l1_orders_2 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_yellow_5 A B (tptp.k13_lattice3 A B C)) (tptp.k3_yellow_0 A)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v11_waybel_1 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (tptp.k1_yellow_5 A B (tptp.k12_lattice3 A B C)) (tptp.k1_yellow_5 A B C)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v11_waybel_1 A) (tptp.l1_orders_2 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.k12_lattice3 A (tptp.k1_yellow_5 A B C) C) (tptp.k3_yellow_0 A)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v11_waybel_1 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (tptp.k13_lattice3 A B (tptp.k1_yellow_5 A C B)) (tptp.k13_lattice3 A B C)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v11_waybel_1 A) (tptp.l1_orders_2 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.k13_lattice3 A (tptp.k12_lattice3 A B C) (tptp.k1_yellow_5 A B C)) B))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v11_waybel_1 A) (tptp.l1_orders_2 A)) (forall ((B $$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_yellow_5 A B (tptp.k1_yellow_5 A C D)) (tptp.k13_lattice3 A (tptp.k1_yellow_5 A B C) (tptp.k12_lattice3 A B D))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v11_waybel_1 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (tptp.k1_yellow_5 A B (tptp.k1_yellow_5 A B C)) (tptp.k12_lattice3 A B C)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v11_waybel_1 A) (tptp.l1_orders_2 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_yellow_5 A (tptp.k13_lattice3 A B C) C) (tptp.k1_yellow_5 A B C)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v11_waybel_1 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (= (tptp.k12_lattice3 A B C) (tptp.k3_yellow_0 A)) (= (tptp.k1_yellow_5 A B C) B)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v11_waybel_1 A) (tptp.l1_orders_2 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 $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (= (tptp.k1_yellow_5 A B (tptp.k13_lattice3 A C D)) (tptp.k12_lattice3 A (tptp.k1_yellow_5 A B C) (tptp.k1_yellow_5 A B D))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v11_waybel_1 A) (tptp.l1_orders_2 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 $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (= (tptp.k1_yellow_5 A B (tptp.k12_lattice3 A C D)) (tptp.k13_lattice3 A (tptp.k1_yellow_5 A B C) (tptp.k1_yellow_5 A B D))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v11_waybel_1 A) (tptp.l1_orders_2 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 $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (= (tptp.k12_lattice3 A B (tptp.k1_yellow_5 A C D)) (tptp.k1_yellow_5 A (tptp.k12_lattice3 A B C) (tptp.k12_lattice3 A B D))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v11_waybel_1 A) (tptp.l1_orders_2 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_yellow_5 A (tptp.k13_lattice3 A B C) (tptp.k12_lattice3 A B C)) (tptp.k13_lattice3 A (tptp.k1_yellow_5 A B C) (tptp.k1_yellow_5 A C B))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v11_waybel_1 A) (tptp.l1_orders_2 A)) (forall ((B $$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_yellow_5 A (tptp.k1_yellow_5 A B C) D) (tptp.k1_yellow_5 A B (tptp.k13_lattice3 A C D))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v11_waybel_1 A) (tptp.l1_orders_2 A)) (= (tptp.k7_waybel_1 A (tptp.k3_yellow_0 A)) (tptp.k4_yellow_0 A)))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v11_waybel_1 A) (tptp.l1_orders_2 A)) (= (tptp.k7_waybel_1 A (tptp.k4_yellow_0 A)) (tptp.k3_yellow_0 A)))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v11_waybel_1 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (= (tptp.k1_yellow_5 A B B) (tptp.k3_yellow_0 A)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v11_waybel_1 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (= (tptp.k1_yellow_5 A B (tptp.k3_yellow_0 A)) B))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v11_waybel_1 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (tptp.k7_waybel_1 A (tptp.k1_yellow_5 A B C)) (tptp.k13_lattice3 A (tptp.k7_waybel_1 A B) C)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v11_waybel_1 A) (tptp.l1_orders_2 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 (tptp.r1_yellow_5 A (tptp.k12_lattice3 A B C) (tptp.k1_yellow_5 A B C))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v11_waybel_1 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (not (tptp.r1_yellow_5 A (tptp.k1_yellow_5 A B C) C)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v11_waybel_1 A) (tptp.l1_orders_2 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 (tptp.r1_yellow_5 A B C)) (= (tptp.k1_yellow_5 A (tptp.k13_lattice3 A B C) C) B)))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (tptp.v4_orders_2 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 A) (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (=> (tptp.r2_yellow_5 A B C) (tptp.r2_yellow_5 A C B))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (tptp.v4_orders_2 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 A) (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (= (tptp.r2_yellow_5 A B C) (tptp.r1_yellow_5 A B C))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A) (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (tptp.m1_subset_1 (tptp.k1_yellow_5 A B C) _let_1)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A) (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (tptp.m1_subset_1 (tptp.k2_yellow_5 A B C) _let_1)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 A) (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (tptp.m1_subset_1 (tptp.k3_yellow_5 A B C) _let_1)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 A) (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (= (tptp.k3_yellow_5 A B C) (tptp.k3_yellow_5 A C B))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 A) (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (= (tptp.k3_yellow_5 A B C) (tptp.k2_yellow_5 A B C))))) (exists ((A $$unsorted)) (and (not (tptp.v1_xboole_0 A)) (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v5_seqm_3 A))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.v1_classes2 A))) (=> _let_1 (and (tptp.v1_ordinal1 A) (tptp.v1_classes1 A) (tptp.v2_classes1 A) _let_1)))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.v2_classes1 A))) (let ((_let_2 (tptp.v1_ordinal1 A))) (=> (and _let_2 _let_1) (and _let_2 (tptp.v1_classes1 A) _let_1 (tptp.v1_classes2 A)))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k2_yellow_6 A))) (and (tptp.v1_ordinal1 _let_1) (tptp.v1_classes1 _let_1) (tptp.v2_classes1 _let_1) (tptp.v1_classes2 _let_1)))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k2_yellow_6 A))) (and (not (tptp.v1_xboole_0 _let_1)) (tptp.v1_ordinal1 _let_1) (tptp.v1_classes1 _let_1) (tptp.v2_classes1 _let_1) (tptp.v1_classes2 _let_1)))) (exists ((A $$unsorted)) (and (not (tptp.v1_xboole_0 A)) (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v5_seqm_3 A) (tptp.v2_pralg_1 A))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k2_funcop_1 A B))) (=> (tptp.l1_struct_0 B) (and (tptp.v1_relat_1 _let_1) (tptp.v1_funct_1 _let_1) (tptp.v5_seqm_3 _let_1) (tptp.v2_pralg_1 _let_1))))) (forall ((A $$unsorted)) (exists ((B $$unsorted)) (and (tptp.m1_pboole B A) (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (tptp.v2_pralg_1 B) (tptp.v4_waybel_3 B)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v1_yellow_1 B) (tptp.m1_pboole B A)) (tptp.v1_fraenkel (tptp.u1_struct_0 (tptp.k5_yellow_1 A B))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k12_pralg_1 A B))) (=> (and (tptp.v2_pralg_1 B) (tptp.v4_waybel_3 B) (tptp.m1_pboole B A)) (and (tptp.v1_relat_1 _let_1) (tptp.v2_relat_1 _let_1) (tptp.v1_funct_1 _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A) (tptp.v12_waybel_0 B A) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 _let_1))) (tptp.v13_waybel_0 (tptp.k3_subset_1 _let_1 B) A)))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A) (tptp.v13_waybel_0 B A) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 _let_1))) (tptp.v12_waybel_0 (tptp.k3_subset_1 _let_1 B) A)))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k3_yellow_1 A))) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v1_orders_2 _let_1) (tptp.v2_orders_2 _let_1) (tptp.v3_orders_2 _let_1) (tptp.v4_orders_2 _let_1) (tptp.v1_yellow_0 _let_1) (tptp.v2_yellow_0 _let_1) (tptp.v3_yellow_0 _let_1) (tptp.v7_waybel_0 _let_1) (tptp.v24_waybel_0 _let_1) (tptp.v25_waybel_0 _let_1) (not (tptp.v1_yellow_3 _let_1)) (tptp.v1_lattice3 _let_1) (tptp.v2_lattice3 _let_1) (tptp.v3_lattice3 _let_1)))) (exists ((A $$unsorted)) (and (tptp.l1_orders_2 A) (not (tptp.v3_struct_0 A)) (tptp.v1_orders_2 A) (tptp.v3_orders_2 A) (tptp.v7_waybel_0 A))) (forall ((A $$unsorted)) (exists ((B $$unsorted)) (and (tptp.m1_pboole B A) (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (tptp.v2_pralg_1 B) (tptp.v1_yellow_1 B) (tptp.v4_waybel_3 B)))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k5_yellow_1 A B))) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v1_yellow_1 B) (tptp.v4_waybel_3 B) (tptp.m1_pboole B A)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v1_orders_2 _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k3_yellow_3 A B))) (=> (and (tptp.v7_waybel_0 A) (tptp.l1_orders_2 A) (tptp.v7_waybel_0 B) (tptp.l1_orders_2 B)) (and (tptp.v1_orders_2 _let_1) (tptp.v7_waybel_0 _let_1))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k4_yellow_6 A B C))) (=> (and (tptp.l1_orders_2 A) (not (tptp.v3_struct_0 B)) (tptp.l1_struct_0 B) (tptp.m1_subset_1 C (tptp.u1_struct_0 B))) (and (tptp.v6_waybel_0 _let_1 B) (tptp.v1_yellow_6 _let_1 B))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k4_yellow_6 A B C))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A) (not (tptp.v3_struct_0 B)) (tptp.l1_struct_0 B) (tptp.m1_subset_1 C (tptp.u1_struct_0 B))) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v6_waybel_0 _let_1 B) (tptp.v1_yellow_6 _let_1 B))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k4_yellow_6 A B C))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v7_waybel_0 A) (tptp.l1_orders_2 A) (not (tptp.v3_struct_0 B)) (tptp.l1_struct_0 B) (tptp.m1_subset_1 C (tptp.u1_struct_0 B))) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v6_waybel_0 _let_1 B) (tptp.v7_waybel_0 _let_1) (tptp.v1_yellow_6 _let_1 B))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k4_yellow_6 A B C))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_orders_2 A) (tptp.l1_orders_2 A) (not (tptp.v3_struct_0 B)) (tptp.l1_struct_0 B) (tptp.m1_subset_1 C (tptp.u1_struct_0 B))) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v3_orders_2 _let_1) (tptp.v6_waybel_0 _let_1 B) (tptp.v1_yellow_6 _let_1 B))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.u1_waybel_0 A B))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_struct_0 A) (not (tptp.v3_struct_0 B)) (tptp.l1_waybel_0 B A)) (and (not (tptp.v1_xboole_0 _let_1)) (tptp.v1_relat_1 _let_1) (tptp.v1_funct_1 _let_1) (tptp.v1_funct_2 _let_1 (tptp.u1_struct_0 B) (tptp.u1_struct_0 A)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.l1_struct_0 A) (tptp.l1_waybel_0 B A)) (exists ((C $$unsorted)) (and (tptp.m1_yellow_6 C A B) (tptp.v6_waybel_0 C A) (tptp.v2_yellow_6 C A B))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.l1_struct_0 A) (not (tptp.v3_struct_0 B)) (tptp.l1_waybel_0 B A)) (exists ((C $$unsorted)) (and (tptp.m1_yellow_6 C A B) (not (tptp.v3_struct_0 C)) (tptp.v6_waybel_0 C A) (tptp.v2_yellow_6 C A B))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_struct_0 A)) (exists ((B $$unsorted)) (and (tptp.l1_waybel_0 B A) (not (tptp.v3_struct_0 B)) (tptp.v3_orders_2 B) (tptp.v6_waybel_0 B A) (tptp.v7_waybel_0 B) (tptp.v1_yellow_6 B A))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.u1_waybel_0 A B))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_struct_0 A) (tptp.v1_yellow_6 B A) (tptp.l1_waybel_0 B A)) (and (tptp.v1_relat_1 _let_1) (tptp.v1_funct_1 _let_1) (tptp.v1_funct_2 _let_1 (tptp.u1_struct_0 B) (tptp.u1_struct_0 A)) (tptp.v5_seqm_3 _let_1))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k6_yellow_6 A B C))) (=> (and (tptp.l1_struct_0 A) (tptp.v3_orders_2 B) (tptp.l1_waybel_0 B A)) (and (tptp.v3_orders_2 _let_1) (tptp.v6_waybel_0 _let_1 A) (tptp.v2_yellow_6 _let_1 A B))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_struct_0 A)) (not (tptp.v1_xboole_0 (tptp.k7_yellow_6 A))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.l1_struct_0 B) (forall ((C $$unsorted)) (=> (tptp.m3_yellow_6 C A B) (tptp.v1_yellow_1 C))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.l1_struct_0 A) (not (tptp.v3_struct_0 B)) (tptp.v3_orders_2 B) (tptp.v7_waybel_0 B) (tptp.l1_waybel_0 B A)) (forall ((C $$unsorted)) (=> (tptp.m3_yellow_6 C (tptp.u1_struct_0 B) A) (and (not (tptp.v1_xboole_0 C)) (tptp.v1_yellow_1 C) (tptp.v4_waybel_3 C)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.k5_yellow_1 _let_1 C))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_struct_0 A) (not (tptp.v3_struct_0 B)) (tptp.v3_orders_2 B) (tptp.v7_waybel_0 B) (tptp.l1_waybel_0 B A) (tptp.m3_yellow_6 C _let_1 A)) (and (not (tptp.v3_struct_0 _let_2)) (tptp.v1_orders_2 _let_2) (tptp.v3_orders_2 _let_2) (tptp.v7_waybel_0 _let_2)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.l1_struct_0 B) (forall ((C $$unsorted)) (=> (tptp.m3_yellow_6 C A B) (and (tptp.v1_yellow_1 C) (tptp.v4_waybel_3 C)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.l1_struct_0 B) (exists ((C $$unsorted)) (and (tptp.m3_yellow_6 C A B) (tptp.v1_relat_1 C) (tptp.v1_funct_1 C) (tptp.v2_pralg_1 C) (tptp.v1_yellow_1 C) (tptp.v4_waybel_3 C))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A) (tptp.m1_subset_1 B (tptp.u1_struct_0 A))) (not (tptp.v3_struct_0 (tptp.k10_yellow_6 A B))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k10_yellow_6 A B))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A) (tptp.m1_subset_1 B (tptp.u1_struct_0 A))) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v3_orders_2 _let_1) (tptp.v7_waybel_0 _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.v3_compts_1 A) (tptp.l1_pre_topc A) (not (tptp.v3_struct_0 B)) (tptp.v3_orders_2 B) (tptp.v7_waybel_0 B) (tptp.l1_waybel_0 B A)) (tptp.v1_realset1 (tptp.k11_yellow_6 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.v7_waybel_0 B))) (let ((_let_2 (tptp.v3_orders_2 B))) (let ((_let_3 (not (tptp.v3_struct_0 B)))) (=> (tptp.l1_waybel_0 B A) (=> (and _let_3 _let_2 _let_1 (tptp.v1_yellow_6 B A)) (and _let_3 _let_2 _let_1 (tptp.v3_yellow_6 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.l1_waybel_0 B A) (not (tptp.v3_struct_0 B)) (tptp.v3_orders_2 B) (tptp.v6_waybel_0 B A) (tptp.v7_waybel_0 B) (tptp.v3_yellow_6 B A))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_struct_0 A)) (forall ((B $$unsorted)) (=> (tptp.m4_yellow_6 B A) (tptp.v1_relat_1 B))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k13_yellow_6 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (and (tptp.v1_relat_1 _let_1) (tptp.v4_yellow_6 _let_1 A) (tptp.v5_yellow_6 _let_1 A) (tptp.v6_yellow_6 _let_1 A) (tptp.v7_yellow_6 _let_1 A))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k14_yellow_6 A B))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_struct_0 A) (tptp.m4_yellow_6 B A)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v1_pre_topc _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k14_yellow_6 A B))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_struct_0 A) (tptp.m4_yellow_6 B A)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v1_pre_topc _let_1) (tptp.v2_pre_topc _let_1))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_struct_0 A)) (exists ((B $$unsorted)) (and (tptp.m4_yellow_6 B A) (not (tptp.v1_xboole_0 B)) (tptp.v1_relat_1 B) (tptp.v8_yellow_6 B A))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_struct_0 A)) (forall ((B $$unsorted)) (=> (tptp.m4_yellow_6 B A) (=> (tptp.v8_yellow_6 B A) (and (tptp.v1_relat_1 B) (tptp.v4_yellow_6 B A) (tptp.v5_yellow_6 B A) (tptp.v6_yellow_6 B A) (tptp.v7_yellow_6 B A))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_struct_0 A)) (forall ((B $$unsorted)) (=> (tptp.m4_yellow_6 B A) (=> (and (tptp.v4_yellow_6 B A) (tptp.v5_yellow_6 B A) (tptp.v6_yellow_6 B A) (tptp.v7_yellow_6 B A)) (and (tptp.v1_relat_1 B) (tptp.v8_yellow_6 B A))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (=> (tptp.v5_seqm_3 A) (or (tptp.v1_xboole_0 A) (forall ((B $$unsorted)) (= (= B (tptp.k1_yellow_6 A)) (exists ((C $$unsorted)) (and (tptp.r2_hidden C (tptp.k1_relat_1 A)) (= B (tptp.k1_funct_1 A C)))))))))) true (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (= (tptp.k1_yellow_6 (tptp.k2_pre_circ A B)) B)))) true (forall ((A $$unsorted)) (= (tptp.k2_yellow_6 A) (tptp.k1_classes1 (tptp.k5_classes1 A)))) true true (forall ((A $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v1_classes2 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (=> (and (tptp.r2_hidden (tptp.k1_relat_1 B) A) (tptp.r1_tarski (tptp.k2_relat_1 B) A)) (tptp.r2_hidden (tptp.k4_card_3 B) A)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (tptp.r2_hidden C (tptp.k6_pre_topc A B)) (forall ((D $$unsorted)) (=> (tptp.m1_connsp_2 D A C) (not (tptp.r1_xboole_0 D B))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (tptp.m2_connsp_2 (tptp.k2_pre_topc A) A B))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (=> (tptp.m2_connsp_2 C A B) (tptp.r1_tarski B C))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (and (tptp.v2_pralg_1 B) (tptp.m1_pboole B A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C A) (= (tptp.k1_funct_1 (tptp.k12_pralg_1 A B) C) (tptp.u1_struct_0 (tptp.k10_pralg_1 A B C))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v2_pralg_1 A)) (= (tptp.v4_waybel_3 A) (forall ((B $$unsorted)) (=> (tptp.r2_hidden B (tptp.k2_relat_1 A)) (and (not (tptp.v3_struct_0 B)) (tptp.l1_struct_0 B))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (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 _let_1) (= (not (tptp.r2_hidden C B)) (tptp.r2_hidden C (tptp.k3_subset_1 _let_1 B)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (= (tptp.v7_waybel_0 A) (forall ((B $$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_orders_2 A B D) (tptp.r1_orders_2 A C D)))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_orders_2 A) (forall ((B $$unsorted)) (=> (tptp.l1_orders_2 B) (= (tptp.k2_pre_topc (tptp.k3_yellow_3 A B)) (tptp.k6_yellow_3 A B (tptp.k2_pre_topc A) (tptp.k2_pre_topc B))))))) (forall ((A $$unsorted)) (=> (tptp.l1_orders_2 A) (= (tptp.u1_struct_0 A) (tptp.u1_struct_0 (tptp.k7_lattice3 A))))) (forall ((A $$unsorted)) (=> (tptp.l1_struct_0 A) (forall ((B $$unsorted)) (=> (tptp.l1_waybel_0 B A) (= (tptp.v1_yellow_6 B A) (tptp.v5_seqm_3 (tptp.u1_waybel_0 A B))))))) (forall ((A $$unsorted)) (=> (tptp.l1_orders_2 A) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.l1_struct_0 B)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 B)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 D))) (=> (and (tptp.v6_waybel_0 D B) (tptp.l1_waybel_0 D B)) (= (= D (tptp.k4_yellow_6 A B C)) (and (= (tptp.g1_orders_2 _let_1 (tptp.u1_orders_2 D)) (tptp.g1_orders_2 (tptp.u1_struct_0 A) (tptp.u1_orders_2 A))) (= (tptp.u1_waybel_0 B D) (tptp.k2_pre_circ _let_1 C))))))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_orders_2 A) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.l1_struct_0 B)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 B)) (= (tptp.u1_struct_0 (tptp.k4_yellow_6 A B C)) (tptp.u1_struct_0 A)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.l1_struct_0 B)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 B)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k4_yellow_6 A B C))) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 _let_1)) (= (tptp.k3_waybel_0 B _let_1 D) C)))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_orders_2 A) (and (tptp.v4_yellow_0 A A) (tptp.m1_yellow_0 A A)))) (forall ((A $$unsorted)) (=> (tptp.l1_orders_2 A) (forall ((B $$unsorted)) (=> (tptp.m1_yellow_0 B A) (forall ((C $$unsorted)) (=> (tptp.m1_yellow_0 C B) (tptp.m1_yellow_0 C A))))))) (forall ((A $$unsorted)) (=> (tptp.l1_struct_0 A) (forall ((B $$unsorted)) (=> (tptp.l1_waybel_0 B A) (forall ((C $$unsorted)) (=> (tptp.l1_waybel_0 C A) (= (tptp.m1_yellow_6 C A B) (and (tptp.m1_yellow_0 C B) (= (tptp.u1_waybel_0 A C) (tptp.k8_relset_1 (tptp.u1_struct_0 B) (tptp.u1_struct_0 A) (tptp.u1_waybel_0 A B) (tptp.u1_struct_0 C))))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_struct_0 A) (forall ((B $$unsorted)) (=> (tptp.l1_waybel_0 B A) (tptp.m1_yellow_6 B A B))))) (forall ((A $$unsorted)) (=> (tptp.l1_struct_0 A) (forall ((B $$unsorted)) (=> (tptp.l1_waybel_0 B A) (forall ((C $$unsorted)) (=> (tptp.m1_yellow_6 C A B) (forall ((D $$unsorted)) (=> (tptp.m1_yellow_6 D A C) (tptp.m1_yellow_6 D A B))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_struct_0 A) (forall ((B $$unsorted)) (=> (tptp.l1_waybel_0 B A) (forall ((C $$unsorted)) (=> (tptp.m1_yellow_6 C A B) (= (tptp.v2_yellow_6 C A B) (and (tptp.v4_yellow_0 C B) (tptp.m1_yellow_0 C B))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_struct_0 A) (forall ((B $$unsorted)) (=> (tptp.l1_waybel_0 B A) (forall ((C $$unsorted)) (=> (tptp.m1_yellow_6 C A B) (tptp.r1_tarski (tptp.u1_struct_0 C) (tptp.u1_struct_0 B)))))))) (forall ((A $$unsorted)) (=> (tptp.l1_struct_0 A) (forall ((B $$unsorted)) (=> (tptp.l1_waybel_0 B A) (forall ((C $$unsorted)) (=> (tptp.m1_yellow_6 C A B) (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 $$unsorted)) (=> (tptp.m1_subset_1 F (tptp.u1_struct_0 C)) (forall ((G $$unsorted)) (=> (tptp.m1_subset_1 G (tptp.u1_struct_0 C)) (=> (and (= D F) (= E G) (tptp.r1_orders_2 C F G)) (tptp.r1_orders_2 B D E)))))))))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_struct_0 A) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.l1_waybel_0 B A)) (forall ((C $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.v2_yellow_6 C A B) (tptp.m1_yellow_6 C A B)) (forall ((D $$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)) (=> (tptp.m1_subset_1 F (tptp.u1_struct_0 C)) (forall ((G $$unsorted)) (=> (tptp.m1_subset_1 G (tptp.u1_struct_0 C)) (=> (and (= D F) (= E G) (tptp.r1_orders_2 B D E)) (tptp.r1_orders_2 C F G)))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_struct_0 A)) (forall ((B $$unsorted)) (=> (tptp.l1_waybel_0 B A) (=> (tptp.v1_yellow_6 B A) (or (tptp.v3_struct_0 B) (= (tptp.k5_yellow_6 A B) (tptp.k1_yellow_6 (tptp.u1_waybel_0 A B))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.l1_struct_0 B)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 B)) (= (tptp.k5_yellow_6 B (tptp.k4_yellow_6 A B C)) C))))))) true (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.v3_orders_2 B) (tptp.v7_waybel_0 B) (tptp.l1_waybel_0 B A)) (forall ((C $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.v3_orders_2 C) (tptp.v7_waybel_0 C) (tptp.l1_waybel_0 C A)) (= (tptp.m2_yellow_6 C A B) (exists ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 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) (= (tptp.u1_waybel_0 A C) (tptp.k7_funct_2 _let_2 _let_1 (tptp.u1_struct_0 A) D (tptp.u1_waybel_0 A B))) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.u1_struct_0 B)) (exists ((F $$unsorted)) (and (tptp.m1_subset_1 F (tptp.u1_struct_0 C)) (forall ((G $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 C))) (=> (tptp.m1_subset_1 G _let_1) (=> (tptp.r1_orders_2 C F G) (tptp.r1_orders_2 B E (tptp.k3_yellow_6 _let_1 B D G))))))))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_struct_0 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_orders_2 B) (tptp.v7_waybel_0 B) (tptp.l1_waybel_0 B A)) (tptp.m2_yellow_6 B A B))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_struct_0 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_orders_2 B) (tptp.v7_waybel_0 B) (tptp.l1_waybel_0 B A)) (forall ((C $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.v3_orders_2 C) (tptp.v7_waybel_0 C) (tptp.l1_waybel_0 C A)) (forall ((D $$unsorted)) (=> (and (not (tptp.v3_struct_0 D)) (tptp.v3_orders_2 D) (tptp.v7_waybel_0 D) (tptp.l1_waybel_0 D A)) (=> (and (tptp.m2_yellow_6 B A C) (tptp.m2_yellow_6 C A D)) (tptp.m2_yellow_6 B A D)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_struct_0 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_orders_2 B) (tptp.v7_waybel_0 B) (tptp.v1_yellow_6 B A) (tptp.l1_waybel_0 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 B)) (= (tptp.k3_waybel_0 A B C) (tptp.k5_yellow_6 A B)))))))) (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.v3_orders_2 B) (tptp.v7_waybel_0 B) (tptp.l1_waybel_0 B A)) (forall ((C $$unsorted) (D $$unsorted)) (not (and (tptp.r1_waybel_0 A B C) (tptp.r1_waybel_0 A B D) (tptp.r1_xboole_0 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.v3_orders_2 B) (tptp.v7_waybel_0 B) (tptp.l1_waybel_0 B A)) (forall ((C $$unsorted)) (=> (tptp.m2_yellow_6 C A B) (forall ((D $$unsorted)) (=> (tptp.r2_waybel_0 A C D) (tptp.r2_waybel_0 A B 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.v3_orders_2 B) (tptp.v7_waybel_0 B) (tptp.l1_waybel_0 B A)) (forall ((C $$unsorted)) (=> (tptp.r1_waybel_0 A B C) (tptp.r2_waybel_0 A B C))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_struct_0 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_orders_2 B) (tptp.v7_waybel_0 B) (tptp.l1_waybel_0 B A)) (tptp.r1_waybel_0 A B (tptp.u1_struct_0 A)))))) (forall ((A $$unsorted)) (=> (tptp.l1_struct_0 A) (forall ((B $$unsorted)) (=> (tptp.l1_waybel_0 B A) (forall ((C $$unsorted) (D $$unsorted)) (=> (and (tptp.v6_waybel_0 D A) (tptp.m1_yellow_6 D A B)) (= (= D (tptp.k6_yellow_6 A B C)) (and (tptp.v4_yellow_0 D B) (tptp.m1_yellow_0 D B) (= (tptp.u1_struct_0 D) (tptp.k5_pre_topc B A (tptp.u1_waybel_0 A B) C)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_struct_0 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_orders_2 B) (tptp.v7_waybel_0 B) (tptp.l1_waybel_0 B A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k6_yellow_6 A B C))) (=> (tptp.r2_waybel_0 A B C) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v7_waybel_0 _let_1))))))))) (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.v3_orders_2 B) (tptp.v7_waybel_0 B) (tptp.l1_waybel_0 B A)) (forall ((C $$unsorted)) (=> (tptp.r2_waybel_0 A B C) (tptp.m2_yellow_6 (tptp.k6_yellow_6 A B C) A B))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_struct_0 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_orders_2 B) (tptp.v7_waybel_0 B) (tptp.l1_waybel_0 B A)) (forall ((C $$unsorted) (D $$unsorted)) (=> (tptp.m2_yellow_6 D A B) (=> (= D (tptp.k6_yellow_6 A B C)) (tptp.r1_waybel_0 A D C)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_struct_0 A)) (forall ((B $$unsorted)) (= (= B (tptp.k7_yellow_6 A)) (forall ((C $$unsorted)) (= (tptp.r2_hidden C B) (exists ((D $$unsorted)) (and (not (tptp.v3_struct_0 D)) (tptp.v3_orders_2 D) (tptp.v6_waybel_0 D A) (tptp.v7_waybel_0 D) (tptp.l1_waybel_0 D A) (= D C) (tptp.r2_hidden (tptp.u1_struct_0 D) (tptp.k2_yellow_6 (tptp.u1_struct_0 A))))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.l1_struct_0 B) (forall ((C $$unsorted)) (=> (tptp.m1_pboole C A) (= (tptp.m3_yellow_6 C A B) (forall ((D $$unsorted)) (=> (tptp.r2_hidden D (tptp.k2_relat_1 C)) (and (not (tptp.v3_struct_0 D)) (tptp.v3_orders_2 D) (tptp.v7_waybel_0 D) (tptp.l1_waybel_0 D B))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.l1_struct_0 B) (forall ((C $$unsorted)) (=> (tptp.m1_pboole C A) (= (tptp.m3_yellow_6 C A B) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k1_funct_1 C D))) (=> (tptp.r2_hidden D A) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v3_orders_2 _let_1) (tptp.v7_waybel_0 _let_1) (tptp.l1_waybel_0 _let_1 B)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_struct_0 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_orders_2 B) (tptp.v7_waybel_0 B) (tptp.l1_waybel_0 B A)) (forall ((C $$unsorted)) (=> (tptp.m3_yellow_6 C (tptp.u1_struct_0 B) A) (forall ((D $$unsorted)) (=> (and (not (tptp.v3_struct_0 D)) (tptp.v3_orders_2 D) (tptp.v6_waybel_0 D A) (tptp.v7_waybel_0 D) (tptp.l1_waybel_0 D A)) (= (= D (tptp.k9_yellow_6 A B C)) (and (= (tptp.g1_orders_2 (tptp.u1_struct_0 D) (tptp.u1_orders_2 D)) (tptp.k3_yellow_3 B (tptp.k5_yellow_1 (tptp.u1_struct_0 B) C))) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.u1_struct_0 B)) (forall ((F $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (=> (and (tptp.v1_relat_1 F) (tptp.v1_funct_1 F)) (=> (and (tptp.r2_hidden E _let_1) (tptp.r2_hidden F (tptp.u1_struct_0 (tptp.k5_yellow_1 _let_1 C)))) (= (tptp.k1_binop_1 (tptp.u1_waybel_0 A D) E F) (tptp.k1_funct_1 (tptp.u1_waybel_0 A (tptp.k8_yellow_6 _let_1 A C E)) (tptp.k1_funct_1 F E))))))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_struct_0 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_orders_2 B) (tptp.v7_waybel_0 B) (tptp.l1_waybel_0 B A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k7_yellow_6 A))) (=> (tptp.m3_yellow_6 C (tptp.u1_struct_0 B) A) (=> (and (tptp.r2_hidden B _let_1) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (=> (tptp.m1_subset_1 D _let_1) (tptp.r2_hidden (tptp.k8_yellow_6 _let_1 A C D) (tptp.k7_yellow_6 A)))))) (tptp.r2_hidden (tptp.k9_yellow_6 A B C) _let_1))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_struct_0 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_orders_2 B) (tptp.v7_waybel_0 B) (tptp.l1_waybel_0 B A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (=> (tptp.m3_yellow_6 C _let_1 A) (= (tptp.u1_struct_0 (tptp.k9_yellow_6 A B C)) (tptp.k2_zfmisc_1 _let_1 (tptp.k4_card_3 (tptp.k12_pralg_1 _let_1 C))))))))))) (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.v3_orders_2 B) (tptp.v7_waybel_0 B) (tptp.l1_waybel_0 B A)) (forall ((C $$unsorted)) (=> (tptp.m3_yellow_6 C (tptp.u1_struct_0 B) A) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 B)) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.u1_struct_0 (tptp.k5_yellow_1 (tptp.u1_struct_0 B) C))) (forall ((F $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.k9_yellow_6 A B C))) (=> (tptp.m1_subset_1 F (tptp.u1_struct_0 _let_2)) (=> (= F (tptp.k7_yellow_3 B (tptp.k5_yellow_1 _let_1 C) D E)) (= (tptp.k3_waybel_0 A _let_2 F) (tptp.k1_waybel_0 (tptp.k3_waybel_3 _let_1 C D) A (tptp.u1_waybel_0 A (tptp.k8_yellow_6 _let_1 A C D)) (tptp.k4_waybel_3 _let_1 C 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)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 (tptp.k10_yellow_6 A B))) (exists ((D $$unsorted)) (and (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= D C) (tptp.r2_hidden B D) (tptp.v3_pre_topc D 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 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (tptp.r2_hidden C (tptp.u1_struct_0 (tptp.k10_yellow_6 A B))) (and (tptp.r2_hidden B C) (tptp.v3_pre_topc C A))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 (tptp.k10_yellow_6 A B))) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k10_yellow_6 A B))) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 _let_1)) (= (tptp.r1_orders_2 _let_1 C D) (tptp.r1_tarski D C))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_orders_2 B) (tptp.v7_waybel_0 B) (tptp.l1_waybel_0 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (= C (tptp.k11_yellow_6 A B)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (= (tptp.r2_hidden D C) (forall ((E $$unsorted)) (=> (tptp.m1_connsp_2 E A D) (tptp.r1_waybel_0 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.v3_orders_2 B) (tptp.v7_waybel_0 B) (tptp.l1_waybel_0 B A)) (forall ((C $$unsorted)) (=> (tptp.m2_yellow_6 C A B) (tptp.r1_tarski (tptp.k11_yellow_6 A B) (tptp.k11_yellow_6 A C)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_orders_2 B) (tptp.v7_waybel_0 B) (tptp.v1_yellow_6 B A) (tptp.l1_waybel_0 B A)) (tptp.r2_hidden (tptp.k5_yellow_6 A B) (tptp.k11_yellow_6 A B)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (= (tptp.v3_compts_1 A) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_orders_2 B) (tptp.v7_waybel_0 B) (tptp.l1_waybel_0 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k11_yellow_6 A B))) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (=> (and (tptp.r2_hidden C _let_1) (tptp.r2_hidden D _let_1)) (= C D)))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_orders_2 B) (tptp.v7_waybel_0 B) (tptp.l1_waybel_0 B A)) (= (tptp.v3_yellow_6 B A) (not (= (tptp.k11_yellow_6 A B) tptp.k1_xboole_0))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.v3_compts_1 A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_orders_2 B) (tptp.v7_waybel_0 B) (tptp.v3_yellow_6 B A) (tptp.l1_waybel_0 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (= C (tptp.k12_yellow_6 A B)) (tptp.r2_hidden C (tptp.k11_yellow_6 A B))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.v3_compts_1 A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_orders_2 B) (tptp.v7_waybel_0 B) (tptp.v1_yellow_6 B A) (tptp.l1_waybel_0 B A)) (= (tptp.k12_yellow_6 A B) (tptp.k5_yellow_6 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.v3_orders_2 B) (tptp.v7_waybel_0 B) (tptp.l1_waybel_0 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (not (and (not (tptp.r2_hidden C (tptp.k11_yellow_6 A B))) (forall ((D $$unsorted)) (=> (tptp.m2_yellow_6 D A B) (exists ((E $$unsorted)) (and (tptp.m2_yellow_6 E A D) (tptp.r2_hidden C (tptp.k11_yellow_6 A E)))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_orders_2 B) (tptp.v7_waybel_0 B) (tptp.l1_waybel_0 B A)) (=> (tptp.r2_hidden B (tptp.k7_yellow_6 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (not (and (not (tptp.r2_hidden C (tptp.k11_yellow_6 A B))) (forall ((D $$unsorted)) (=> (tptp.m2_yellow_6 D A B) (not (and (tptp.r2_hidden D (tptp.k7_yellow_6 A)) (forall ((E $$unsorted)) (=> (tptp.m2_yellow_6 E A D) (not (tptp.r2_hidden C (tptp.k11_yellow_6 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.v3_orders_2 B) (tptp.v7_waybel_0 B) (tptp.l1_waybel_0 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (=> (tptp.r2_hidden C (tptp.k11_yellow_6 A B)) (forall ((D $$unsorted)) (=> (tptp.m3_yellow_6 D (tptp.u1_struct_0 B) A) (=> (forall ((E $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (=> (tptp.m1_subset_1 E _let_1) (tptp.r2_hidden (tptp.k3_waybel_0 A B E) (tptp.k11_yellow_6 A (tptp.k8_yellow_6 _let_1 A D E)))))) (tptp.r2_hidden C (tptp.k11_yellow_6 A (tptp.k9_yellow_6 A B D))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_struct_0 A)) (forall ((B $$unsorted)) (= (tptp.m4_yellow_6 B A) (tptp.r1_tarski B (tptp.k2_zfmisc_1 (tptp.k7_yellow_6 A) (tptp.u1_struct_0 A))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m4_yellow_6 B A) (= (= B (tptp.k13_yellow_6 A)) (forall ((C $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.v3_orders_2 C) (tptp.v7_waybel_0 C) (tptp.l1_waybel_0 C A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (= (tptp.r2_hidden (tptp.k4_tarski C D) B) (and (tptp.r2_hidden C (tptp.k7_yellow_6 A)) (tptp.r2_hidden D (tptp.k11_yellow_6 A C))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_struct_0 A)) (forall ((B $$unsorted)) (=> (tptp.m4_yellow_6 B A) (= (tptp.v4_yellow_6 B A) (forall ((C $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.v3_orders_2 C) (tptp.v7_waybel_0 C) (tptp.v1_yellow_6 C A) (tptp.l1_waybel_0 C A)) (=> (tptp.r2_hidden C (tptp.k7_yellow_6 A)) (tptp.r2_hidden (tptp.k4_tarski C (tptp.k5_yellow_6 A C)) B))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_struct_0 A)) (forall ((B $$unsorted)) (=> (tptp.m4_yellow_6 B A) (= (tptp.v5_yellow_6 B A) (forall ((C $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.v3_orders_2 C) (tptp.v7_waybel_0 C) (tptp.l1_waybel_0 C A)) (forall ((D $$unsorted)) (=> (tptp.m2_yellow_6 D A C) (=> (tptp.r2_hidden D (tptp.k7_yellow_6 A)) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.u1_struct_0 A)) (=> (tptp.r2_hidden (tptp.k4_tarski C E) B) (tptp.r2_hidden (tptp.k4_tarski D E) B)))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_struct_0 A)) (forall ((B $$unsorted)) (=> (tptp.m4_yellow_6 B A) (= (tptp.v6_yellow_6 B A) (forall ((C $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.v3_orders_2 C) (tptp.v7_waybel_0 C) (tptp.l1_waybel_0 C A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (not (and (tptp.r2_hidden C (tptp.k7_yellow_6 A)) (not (tptp.r2_hidden (tptp.k4_tarski C D) B)) (forall ((E $$unsorted)) (=> (tptp.m2_yellow_6 E A C) (not (and (tptp.r2_hidden E (tptp.k7_yellow_6 A)) (forall ((F $$unsorted)) (=> (tptp.m2_yellow_6 F A E) (not (tptp.r2_hidden (tptp.k4_tarski F D) B))))))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_struct_0 A)) (forall ((B $$unsorted)) (=> (tptp.m4_yellow_6 B A) (= (tptp.v7_yellow_6 B A) (forall ((C $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.v3_orders_2 C) (tptp.v7_waybel_0 C) (tptp.l1_waybel_0 C A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (=> (tptp.r2_hidden (tptp.k4_tarski C D) B) (forall ((E $$unsorted)) (=> (tptp.m3_yellow_6 E (tptp.u1_struct_0 C) A) (=> (forall ((F $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 C))) (=> (tptp.m1_subset_1 F _let_1) (tptp.r2_hidden (tptp.k4_tarski (tptp.k8_yellow_6 _let_1 A E F) (tptp.k3_waybel_0 A C F)) B)))) (tptp.r2_hidden (tptp.k4_tarski (tptp.k9_yellow_6 A C E) D) B)))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_struct_0 A)) (forall ((B $$unsorted)) (=> (tptp.m4_yellow_6 B A) (tptp.r1_tarski B (tptp.k13_yellow_6 (tptp.k14_yellow_6 A B))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_struct_0 A)) (forall ((B $$unsorted)) (=> (tptp.m4_yellow_6 B A) (= (tptp.v8_yellow_6 B A) (and (tptp.v4_yellow_6 B A) (tptp.v5_yellow_6 B A) (tptp.v6_yellow_6 B A) (tptp.v7_yellow_6 B A))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_struct_0 A)) (forall ((B $$unsorted)) (=> (and (tptp.v8_yellow_6 B A) (tptp.m4_yellow_6 B A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k14_yellow_6 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 $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (=> (tptp.r2_hidden D C) (forall ((E $$unsorted)) (=> (and (not (tptp.v3_struct_0 E)) (tptp.v3_orders_2 E) (tptp.v7_waybel_0 E) (tptp.l1_waybel_0 E A)) (=> (tptp.r2_hidden (tptp.k4_tarski E D) B) (tptp.r1_waybel_0 A E C))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_struct_0 A)) (forall ((B $$unsorted)) (=> (and (tptp.v8_yellow_6 B A) (tptp.m4_yellow_6 B A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k14_yellow_6 A B))) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 _let_1))) (= (tptp.v4_pre_topc C _let_1) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (forall ((E $$unsorted)) (=> (and (not (tptp.v3_struct_0 E)) (tptp.v3_orders_2 E) (tptp.v7_waybel_0 E) (tptp.l1_waybel_0 E A)) (=> (and (tptp.r2_hidden (tptp.k4_tarski E D) B) (tptp.r2_waybel_0 A E C)) (tptp.r2_hidden D C)))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_struct_0 A)) (forall ((B $$unsorted)) (=> (and (tptp.v8_yellow_6 B A) (tptp.m4_yellow_6 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 (tptp.k14_yellow_6 A B)))) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k14_yellow_6 A B))) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 _let_1)) (not (and (tptp.r2_hidden D (tptp.k6_pre_topc _let_1 C)) (forall ((E $$unsorted)) (let ((_let_1 (tptp.k14_yellow_6 A B))) (=> (and (not (tptp.v3_struct_0 E)) (tptp.v3_orders_2 E) (tptp.v7_waybel_0 E) (tptp.l1_waybel_0 E _let_1)) (not (and (tptp.r2_hidden (tptp.k4_tarski E D) B) (tptp.r1_tarski (tptp.k2_relat_1 (tptp.u1_waybel_0 _let_1 E)) C) (tptp.r2_hidden D (tptp.k11_yellow_6 _let_1 E)))))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_struct_0 A)) (forall ((B $$unsorted)) (=> (tptp.m4_yellow_6 B A) (= (= (tptp.k13_yellow_6 (tptp.k14_yellow_6 A B)) B) (tptp.v8_yellow_6 B A)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.l1_struct_0 A) (tptp.l1_waybel_0 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_yellow_6 C A B) (tptp.l1_waybel_0 C A))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.l1_struct_0 A) (tptp.l1_waybel_0 B A)) (exists ((C $$unsorted)) (tptp.m1_yellow_6 C A B)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_struct_0 A) (not (tptp.v3_struct_0 B)) (tptp.v3_orders_2 B) (tptp.v7_waybel_0 B) (tptp.l1_waybel_0 B A)) (forall ((C $$unsorted)) (=> (tptp.m2_yellow_6 C A B) (and (not (tptp.v3_struct_0 C)) (tptp.v3_orders_2 C) (tptp.v7_waybel_0 C) (tptp.l1_waybel_0 C A)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_struct_0 A) (not (tptp.v3_struct_0 B)) (tptp.v3_orders_2 B) (tptp.v7_waybel_0 B) (tptp.l1_waybel_0 B A)) (exists ((C $$unsorted)) (tptp.m2_yellow_6 C A B)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.l1_struct_0 B) (forall ((C $$unsorted)) (=> (tptp.m3_yellow_6 C A B) (tptp.m1_pboole C A))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.l1_struct_0 B) (exists ((C $$unsorted)) (tptp.m3_yellow_6 C A B)))) true (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_struct_0 A)) (exists ((B $$unsorted)) (tptp.m4_yellow_6 B A)))) true true (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.l1_orders_2 B) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C A _let_1) (tptp.m1_relset_1 C A _let_1) (tptp.m1_subset_1 D A)) (tptp.m1_subset_1 (tptp.k3_yellow_6 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.l1_orders_2 B) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C A _let_1) (tptp.m1_relset_1 C A _let_1) (tptp.m1_subset_1 D A)) (= (tptp.k3_yellow_6 A B C D) (tptp.k1_funct_1 C D))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k4_yellow_6 A B C))) (=> (and (tptp.l1_orders_2 A) (not (tptp.v3_struct_0 B)) (tptp.l1_struct_0 B) (tptp.m1_subset_1 C (tptp.u1_struct_0 B))) (and (tptp.v6_waybel_0 _let_1 B) (tptp.l1_waybel_0 _let_1 B))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_struct_0 A) (tptp.l1_waybel_0 B A)) (tptp.m1_subset_1 (tptp.k5_yellow_6 A B) (tptp.u1_struct_0 A)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k6_yellow_6 A B C))) (=> (and (tptp.l1_struct_0 A) (tptp.l1_waybel_0 B A)) (and (tptp.v6_waybel_0 _let_1 A) (tptp.m1_yellow_6 _let_1 A B))))) true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k8_yellow_6 A B C D))) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.l1_struct_0 B) (tptp.m3_yellow_6 C A B) (tptp.m1_subset_1 D A)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v3_orders_2 _let_1) (tptp.v7_waybel_0 _let_1) (tptp.l1_waybel_0 _let_1 B))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.l1_struct_0 B) (tptp.m3_yellow_6 C A B) (tptp.m1_subset_1 D A)) (= (tptp.k8_yellow_6 A B C D) (tptp.k1_funct_1 C D)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k9_yellow_6 A B C))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_struct_0 A) (not (tptp.v3_struct_0 B)) (tptp.v3_orders_2 B) (tptp.v7_waybel_0 B) (tptp.l1_waybel_0 B A) (tptp.m3_yellow_6 C (tptp.u1_struct_0 B) A)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v3_orders_2 _let_1) (tptp.v6_waybel_0 _let_1 A) (tptp.v7_waybel_0 _let_1) (tptp.l1_waybel_0 _let_1 A))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A) (tptp.m1_subset_1 B (tptp.u1_struct_0 A))) (tptp.l1_orders_2 (tptp.k10_yellow_6 A B)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A) (not (tptp.v3_struct_0 B)) (tptp.v3_orders_2 B) (tptp.v7_waybel_0 B) (tptp.l1_waybel_0 B A)) (tptp.m1_subset_1 (tptp.k11_yellow_6 A B) (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.v3_compts_1 A) (tptp.l1_pre_topc A) (not (tptp.v3_struct_0 B)) (tptp.v3_orders_2 B) (tptp.v7_waybel_0 B) (tptp.v3_yellow_6 B A) (tptp.l1_waybel_0 B A)) (tptp.m1_subset_1 (tptp.k12_yellow_6 A B) (tptp.u1_struct_0 A)))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (tptp.m4_yellow_6 (tptp.k13_yellow_6 A) A))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k14_yellow_6 A B))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_struct_0 A) (tptp.m4_yellow_6 B A)) (and (tptp.v1_pre_topc _let_1) (tptp.l1_pre_topc _let_1))))) (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.v3_orders_2 B) (tptp.v7_waybel_0 B) (tptp.l1_waybel_0 B A)) (forall ((C $$unsorted)) (=> (tptp.m3_yellow_6 C (tptp.u1_struct_0 B) A) (tptp.r1_tarski (tptp.k2_relat_1 (tptp.u1_waybel_0 A (tptp.k9_yellow_6 A B C))) (tptp.k3_tarski (tptp.a_3_0_yellow_6 A B C))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (= (tptp.k10_yellow_6 A B) (tptp.k7_lattice3 (tptp.k2_yellow_1 (tptp.a_2_0_yellow_6 A B)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_orders_2 B) (tptp.v7_waybel_0 B) (tptp.l1_waybel_0 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (=> (tptp.r2_hidden C (tptp.k11_yellow_6 A B)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 B)) (exists ((E $$unsorted)) (and (tptp.m1_subset_1 E (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= E (tptp.a_3_1_yellow_6 A B D)) (tptp.r2_hidden C (tptp.k6_pre_topc A E))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_struct_0 A)) (forall ((B $$unsorted)) (=> (tptp.m4_yellow_6 B A) (forall ((C $$unsorted)) (=> (and (tptp.v1_pre_topc C) (tptp.l1_pre_topc C)) (= (= C (tptp.k14_yellow_6 A B)) (and (= (tptp.u1_struct_0 C) (tptp.u1_struct_0 A)) (= (tptp.u1_pre_topc C) (tptp.a_2_1_yellow_6 A B)))))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.l1_struct_0 B) (not (tptp.v3_struct_0 C)) (tptp.v3_orders_2 C) (tptp.v7_waybel_0 C) (tptp.l1_waybel_0 C B) (tptp.m3_yellow_6 D (tptp.u1_struct_0 C) B)) (= (tptp.r2_hidden A (tptp.a_3_0_yellow_6 B C D)) (exists ((E $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 C))) (and (tptp.m1_subset_1 E _let_1) (= A (tptp.k2_relat_1 (tptp.u1_waybel_0 B (tptp.k8_yellow_6 _let_1 B D E)))))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_pre_topc B) (tptp.l1_pre_topc B) (tptp.m1_subset_1 C (tptp.u1_struct_0 B))) (= (tptp.r2_hidden A (tptp.a_2_0_yellow_6 B C)) (exists ((D $$unsorted)) (and (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B))) (= A D) (tptp.r2_hidden C D) (tptp.v3_pre_topc D B)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$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.v3_orders_2 C) (tptp.v7_waybel_0 C) (tptp.l1_waybel_0 C B) (tptp.m1_subset_1 D (tptp.u1_struct_0 C))) (= (tptp.r2_hidden A (tptp.a_3_1_yellow_6 B C D)) (exists ((E $$unsorted)) (and (tptp.m1_subset_1 E (tptp.u1_struct_0 C)) (= A (tptp.k3_waybel_0 B C E)) (tptp.r1_orders_2 C D E)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.l1_struct_0 B) (tptp.m4_yellow_6 C B)) (= (tptp.r2_hidden A (tptp.a_2_1_yellow_6 B C)) (exists ((D $$unsorted)) (and (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B))) (= A D) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.u1_struct_0 B)) (=> (tptp.r2_hidden E D) (forall ((F $$unsorted)) (=> (and (not (tptp.v3_struct_0 F)) (tptp.v3_orders_2 F) (tptp.v7_waybel_0 F) (tptp.l1_waybel_0 F B)) (=> (tptp.r2_hidden (tptp.k4_tarski F E) C) (tptp.r1_waybel_0 B F D)))))))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (not (tptp.v1_xboole_0 B)) (tptp.v2_relat_1 C) (tptp.m1_pboole C A) (tptp.m3_pboole D A C (tptp.k2_pre_circ A B)) (tptp.m1_subset_1 E A)) (not (tptp.v1_xboole_0 (tptp.k2_relat_1 (tptp.k1_waybel_5 A B C D E)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.v2_relat_1 C) (tptp.m1_pboole C A)) (forall ((D $$unsorted)) (=> (tptp.m3_pboole D A C (tptp.k2_pre_circ A B)) (and (tptp.v2_relat_1 D) (tptp.v1_funcop_1 D)))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k2_funct_6 A))) (=> (and (tptp.v1_relat_1 A) (tptp.v2_relat_1 A) (tptp.v1_funct_1 A)) (and (tptp.v1_relat_1 _let_1) (tptp.v2_relat_1 _let_1) (tptp.v1_funct_1 _let_1))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.m1_pboole B A) (not (tptp.v3_struct_0 C)) (tptp.l1_orders_2 C) (tptp.m3_pboole D A B (tptp.k2_pre_circ A (tptp.u1_struct_0 C)))) (not (tptp.v1_xboole_0 (tptp.k2_relat_1 (tptp.k4_waybel_5 C D)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.m1_pboole B A) (not (tptp.v3_struct_0 C)) (tptp.l1_orders_2 C) (tptp.m3_pboole D A B (tptp.k2_pre_circ A (tptp.u1_struct_0 C)))) (not (tptp.v1_xboole_0 (tptp.k2_relat_1 (tptp.k5_waybel_5 C D)))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.v4_orders_2 A))) (let ((_let_2 (tptp.v3_orders_2 A))) (let ((_let_3 (tptp.v2_orders_2 A))) (let ((_let_4 (not (tptp.v3_struct_0 A)))) (=> (tptp.l1_orders_2 A) (=> (and _let_4 _let_3 _let_2 _let_1 (tptp.v3_realset2 A)) (and _let_4 _let_3 _let_2 _let_1 (tptp.v1_waybel_5 A))))))))) (exists ((A $$unsorted)) (and (tptp.l1_orders_2 A) (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v1_waybel_5 A))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.v2_lattice3 A))) (let ((_let_2 (tptp.v1_lattice3 A))) (let ((_let_3 (tptp.v4_orders_2 A))) (let ((_let_4 (tptp.v3_orders_2 A))) (let ((_let_5 (tptp.v2_orders_2 A))) (=> (tptp.l1_orders_2 A) (=> (and _let_5 _let_4 _let_3 _let_2 _let_1 (tptp.v1_waybel_5 A)) (and (not (tptp.v3_struct_0 A)) _let_5 _let_4 _let_3 _let_2 _let_1 (tptp.v3_lattice3 A) (tptp.v1_yellow_0 A) (tptp.v2_yellow_0 A) (tptp.v3_yellow_0 A) (tptp.v24_waybel_0 A) (tptp.v25_waybel_0 A) (tptp.v2_waybel_3 A) (tptp.v3_waybel_3 A)))))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.v2_lattice3 A))) (let ((_let_2 (tptp.v1_lattice3 A))) (let ((_let_3 (tptp.v4_orders_2 A))) (let ((_let_4 (tptp.v3_orders_2 A))) (let ((_let_5 (tptp.v2_orders_2 A))) (=> (tptp.l1_orders_2 A) (=> (and _let_5 _let_4 _let_3 _let_2 _let_1 (tptp.v1_waybel_5 A)) (and (not (tptp.v3_struct_0 A)) _let_5 _let_4 _let_3 _let_2 _let_1 (tptp.v9_waybel_1 A)))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v2_lattice3 A) (tptp.v24_waybel_0 A) (tptp.l1_orders_2 A)) (= (tptp.v3_waybel_3 A) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k1_waybel_3 A B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 B _let_2) (and (not (tptp.v1_xboole_0 _let_1)) (tptp.v1_waybel_0 _let_1 A) (tptp.v12_waybel_0 _let_1 A) (tptp.m1_subset_1 _let_1 (tptp.k1_zfmisc_1 _let_2)) (tptp.r3_orders_2 A B (tptp.k1_yellow_0 A _let_1)) (forall ((C $$unsorted)) (=> (and (not (tptp.v1_xboole_0 C)) (tptp.v1_waybel_0 C A) (tptp.v12_waybel_0 C A) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (=> (tptp.r3_orders_2 A B (tptp.k1_yellow_0 A C)) (tptp.r1_tarski (tptp.k1_waybel_3 A B) C)))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v2_lattice3 A) (tptp.v24_waybel_0 A) (tptp.l1_orders_2 A)) (= (tptp.v3_waybel_3 A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (exists ((C $$unsorted)) (and (not (tptp.v1_xboole_0 C)) (tptp.v1_waybel_0 C A) (tptp.v12_waybel_0 C A) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (tptp.r3_orders_2 A B (tptp.k1_yellow_0 A C)) (forall ((D $$unsorted)) (=> (and (not (tptp.v1_xboole_0 D)) (tptp.v1_waybel_0 D A) (tptp.v12_waybel_0 D A) (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (=> (tptp.r3_orders_2 A B (tptp.k1_yellow_0 A D)) (tptp.r1_tarski C D))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v1_yellow_0 A) (tptp.v3_waybel_3 A) (tptp.l1_orders_2 A)) (tptp.v4_waybel_1 (tptp.k3_yellow_2 A) (tptp.k2_yellow_1 (tptp.k8_waybel_0 A)) A))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v1_yellow_0 A) (tptp.v24_waybel_0 A) (tptp.l1_orders_2 A)) (=> (tptp.v4_waybel_1 (tptp.k3_yellow_2 A) (tptp.k2_yellow_1 (tptp.k8_waybel_0 A)) A) (tptp.v3_waybel_3 A)))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k2_yellow_1 (tptp.k8_waybel_0 A)))) (let ((_let_2 (tptp.k3_yellow_2 A))) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v2_lattice3 A) (tptp.v3_lattice3 A) (tptp.l1_orders_2 A)) (=> (and (tptp.v17_waybel_0 _let_2 _let_1 A) (tptp.v18_waybel_0 _let_2 _let_1 A)) (tptp.v4_waybel_1 _let_2 _let_1 A)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.m1_pboole C A) (forall ((D $$unsorted)) (=> (tptp.m3_pboole D A C (tptp.k2_pre_circ A B)) (forall ((E $$unsorted)) (let ((_let_1 (tptp.k1_funct_1 C E))) (let ((_let_2 (tptp.k1_funct_1 D E))) (=> (tptp.r2_hidden E 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 $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_funcop_1 A)) (forall ((B $$unsorted)) (=> (tptp.r2_hidden B (tptp.k1_relat_1 (tptp.k3_pralg_2 A))) (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_funcop_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k3_pralg_2 A))) (let ((_let_2 (tptp.k1_relat_1 A))) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (=> (tptp.r2_hidden B (tptp.k1_relat_1 _let_1)) (and (= (tptp.k1_relat_1 B) _let_2) (= _let_2 (tptp.k1_relat_1 (tptp.k1_funct_1 _let_1 B))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_funcop_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (=> (tptp.r2_hidden B (tptp.k1_relat_1 (tptp.k3_pralg_2 A))) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k1_funct_1 (tptp.k3_pralg_2 A) B))) (let ((_let_2 (tptp.k1_funct_1 B C))) (let ((_let_3 (tptp.k1_funct_1 A C))) (let ((_let_4 (tptp.k1_funct_1 _let_3 _let_2))) (=> (tptp.r2_hidden C (tptp.k1_relat_1 A)) (and (tptp.r2_hidden _let_2 (tptp.k1_relat_1 _let_3)) (= (tptp.k1_funct_1 _let_1 C) _let_4) (tptp.r2_hidden _let_4 (tptp.k2_relat_1 _let_1)))))))))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.m1_pboole C A) (forall ((D $$unsorted)) (=> (tptp.m3_pboole D A C (tptp.k2_pre_circ A B)) (forall ((E $$unsorted)) (let ((_let_1 (tptp.k3_pralg_2 D))) (let ((_let_2 (tptp.k1_funct_1 _let_1 E))) (=> (and (tptp.v1_relat_1 E) (tptp.v1_funct_1 E)) (=> (tptp.r2_hidden E (tptp.k1_relat_1 _let_1)) (and (tptp.v1_funct_1 _let_2) (tptp.v1_funct_2 _let_2 A B) (tptp.m2_relset_1 _let_2 A B))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (tptp.v1_funcop_1 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.k1_relat_1 B))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.m2_relset_1 C _let_2 _let_1)) (= (= C (tptp.k4_waybel_5 A B)) (forall ((D $$unsorted)) (=> (tptp.r2_hidden D (tptp.k1_relat_1 B)) (= (tptp.k1_funct_1 C D) (tptp.k5_yellow_2 A (tptp.k1_funct_1 B D)))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (tptp.v1_funcop_1 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.k1_relat_1 B))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.m2_relset_1 C _let_2 _let_1)) (= (= C (tptp.k5_waybel_5 A B)) (forall ((D $$unsorted)) (=> (tptp.r2_hidden D (tptp.k1_relat_1 B)) (= (tptp.k1_funct_1 C D) (tptp.k6_yellow_2 A (tptp.k1_funct_1 B D)))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (tptp.v1_funcop_1 B)) (forall ((C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C) (tptp.v1_funcop_1 C)) (=> (and (= (tptp.k1_relat_1 B) (tptp.k1_relat_1 C)) (forall ((D $$unsorted)) (=> (tptp.r2_hidden D (tptp.k1_relat_1 B)) (= (tptp.k5_yellow_2 A (tptp.k1_funct_1 B D)) (tptp.k5_yellow_2 A (tptp.k1_funct_1 C D)))))) (= (tptp.k4_waybel_5 A B) (tptp.k4_waybel_5 A C))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (tptp.v1_funcop_1 B)) (forall ((C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C) (tptp.v1_funcop_1 C)) (=> (and (= (tptp.k1_relat_1 B) (tptp.k1_relat_1 C)) (forall ((D $$unsorted)) (=> (tptp.r2_hidden D (tptp.k1_relat_1 B)) (= (tptp.k6_yellow_2 A (tptp.k1_funct_1 B D)) (tptp.k6_yellow_2 A (tptp.k1_funct_1 C D)))))) (= (tptp.k5_waybel_5 A B) (tptp.k5_waybel_5 A C))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.l1_orders_2 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k1_relat_1 C))) (let ((_let_2 (tptp.r2_hidden A (tptp.k8_yellow_2 _let_1 B (tptp.k5_waybel_5 B C))))) (let ((_let_3 (tptp.r2_hidden A (tptp.k8_yellow_2 _let_1 B (tptp.k4_waybel_5 B C))))) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C) (tptp.v1_funcop_1 C)) (and (not (and _let_3 (forall ((D $$unsorted)) (not (and (tptp.r2_hidden D (tptp.k1_relat_1 C)) (= A (tptp.k5_yellow_2 B (tptp.k1_funct_1 C D)))))))) (=> (exists ((D $$unsorted)) (and (tptp.r2_hidden D (tptp.k1_relat_1 C)) (= A (tptp.k5_yellow_2 B (tptp.k1_funct_1 C D))))) _let_3) (not (and _let_2 (forall ((D $$unsorted)) (not (and (tptp.r2_hidden D (tptp.k1_relat_1 C)) (= A (tptp.k6_yellow_2 B (tptp.k1_funct_1 C D)))))))) (=> (exists ((D $$unsorted)) (and (tptp.r2_hidden D (tptp.k1_relat_1 C)) (= A (tptp.k6_yellow_2 B (tptp.k1_funct_1 C D))))) _let_2))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.l1_orders_2 B)) (forall ((C $$unsorted)) (=> (not (tptp.v1_xboole_0 C)) (forall ((D $$unsorted)) (=> (tptp.m1_pboole D C) (forall ((E $$unsorted)) (let ((_let_1 (tptp.k1_relat_1 E))) (let ((_let_2 (tptp.r2_hidden A (tptp.k8_yellow_2 _let_1 B (tptp.k5_waybel_5 B E))))) (let ((_let_3 (tptp.r2_hidden A (tptp.k8_yellow_2 _let_1 B (tptp.k4_waybel_5 B E))))) (=> (tptp.m3_pboole E C D (tptp.k2_pre_circ C (tptp.u1_struct_0 B))) (and (not (and _let_3 (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F C) (not (= A (tptp.k5_yellow_2 B (tptp.k1_waybel_5 C (tptp.u1_struct_0 B) D E F)))))))) (=> (exists ((F $$unsorted)) (and (tptp.m1_subset_1 F C) (= A (tptp.k5_yellow_2 B (tptp.k1_waybel_5 C (tptp.u1_struct_0 B) D E F))))) _let_3) (not (and _let_2 (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F C) (not (= A (tptp.k6_yellow_2 B (tptp.k1_waybel_5 C (tptp.u1_struct_0 B) D E F)))))))) (=> (exists ((F $$unsorted)) (and (tptp.m1_subset_1 F C) (= A (tptp.k6_yellow_2 B (tptp.k1_waybel_5 C (tptp.u1_struct_0 B) D E F))))) _let_2))))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C) (tptp.v1_funcop_1 C)) (=> (forall ((D $$unsorted)) (let ((_let_1 (tptp.k3_pralg_2 C))) (=> (and (tptp.v1_relat_1 D) (tptp.v1_funct_1 D)) (=> (tptp.r2_hidden D (tptp.k1_relat_1 _let_1)) (tptp.r3_orders_2 A (tptp.k6_yellow_2 A (tptp.k1_funct_1 _let_1 D)) B))))) (tptp.r3_orders_2 A (tptp.k5_yellow_2 A (tptp.k5_waybel_5 A (tptp.k3_pralg_2 C))) B)))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (=> (and (tptp.v2_relat_1 C) (tptp.m1_pboole C B)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m3_pboole D B C (tptp.k2_pre_circ B _let_1)) (tptp.r1_orders_2 A (tptp.k5_yellow_2 A (tptp.k5_waybel_5 A (tptp.k2_waybel_5 B _let_1 C D))) (tptp.k6_yellow_2 A (tptp.k4_waybel_5 A D)))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (=> (and (tptp.v3_waybel_3 A) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (=> (tptp.r1_waybel_3 A D B) (tptp.r3_orders_2 A D C))))) (tptp.r3_orders_2 A B C)))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_lattice3 A) (tptp.l1_orders_2 A)) (=> (forall ((B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (=> (tptp.r2_hidden B (tptp.k2_yellow_6 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (=> (and (tptp.v2_relat_1 C) (tptp.m1_pboole C B)) (=> (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D B) (tptp.r2_hidden (tptp.k1_funct_1 C D) (tptp.k2_yellow_6 (tptp.u1_struct_0 A))))) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m3_pboole D B C (tptp.k2_pre_circ B _let_1)) (=> (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E B) (tptp.v1_waybel_0 (tptp.k8_yellow_2 (tptp.k1_funct_1 C E) A (tptp.k1_waybel_5 B (tptp.u1_struct_0 A) C D E)) A))) (= (tptp.k6_yellow_2 A (tptp.k4_waybel_5 A D)) (tptp.k5_yellow_2 A (tptp.k5_waybel_5 A (tptp.k2_waybel_5 B _let_1 C D)))))))))))))) (tptp.v3_waybel_3 A)))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_lattice3 A) (tptp.l1_orders_2 A)) (= (tptp.v3_waybel_3 A) (forall ((B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (=> (and (tptp.v2_relat_1 C) (tptp.m1_pboole C B)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m3_pboole D B C (tptp.k2_pre_circ B _let_1)) (=> (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E B) (tptp.v1_waybel_0 (tptp.k8_yellow_2 (tptp.k1_funct_1 C E) A (tptp.k1_waybel_5 B (tptp.u1_struct_0 A) C D E)) A))) (= (tptp.k6_yellow_2 A (tptp.k4_waybel_5 A D)) (tptp.k5_yellow_2 A (tptp.k5_waybel_5 A (tptp.k2_waybel_5 B _let_1 C D))))))))))))))) (forall ((A $$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 $$unsorted)) (=> (tptp.m1_subset_1 D A) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E B) (forall ((F $$unsorted)) (let ((_let_1 (tptp.k6_waybel_5 A B C F))) (let ((_let_2 (tptp.k1_waybel_5 A C (tptp.k2_pre_circ A B) _let_1 D))) (let ((_let_3 (tptp.k2_zfmisc_1 A B))) (=> (and (tptp.v1_funct_1 F) (tptp.v1_funct_2 F _let_3 C) (tptp.m2_relset_1 F _let_3 C)) (and (= (tptp.k1_relat_1 _let_1) A) (= (tptp.k1_relat_1 _let_2) B) (= (tptp.k1_funct_1 F (tptp.k4_tarski D E)) (tptp.k1_funct_1 _let_2 E)))))))))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_lattice3 A) (tptp.l1_orders_2 A)) (= (tptp.v3_waybel_3 A) (forall ((B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (=> (not (tptp.v1_xboole_0 C)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.k6_waybel_5 B C _let_1 D))) (let ((_let_3 (tptp.k2_zfmisc_1 B C))) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D _let_3 _let_1) (tptp.m2_relset_1 D _let_3 _let_1)) (=> (forall ((E $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.k2_pre_circ B C))) (=> (tptp.m1_subset_1 E B) (tptp.v1_waybel_0 (tptp.k8_yellow_2 (tptp.k1_funct_1 _let_2 E) A (tptp.k1_waybel_5 B _let_1 _let_2 (tptp.k6_waybel_5 B C _let_1 D) E)) A))))) (= (tptp.k6_yellow_2 A (tptp.k4_waybel_5 A _let_2)) (tptp.k5_yellow_2 A (tptp.k5_waybel_5 A (tptp.k2_waybel_5 B _let_1 (tptp.k2_pre_circ B C) _let_2))))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (= (tptp.v1_waybel_5 A) (and (tptp.v3_lattice3 A) (forall ((B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (=> (and (tptp.v2_relat_1 C) (tptp.m1_pboole C B)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m3_pboole D B C (tptp.k2_pre_circ B _let_1)) (= (tptp.k6_yellow_2 A (tptp.k4_waybel_5 A D)) (tptp.k5_yellow_2 A (tptp.k5_waybel_5 A (tptp.k2_waybel_5 B _let_1 C D))))))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v1_waybel_5 A) (tptp.l1_orders_2 A)) (tptp.v3_waybel_3 A))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (=> (and (tptp.v2_relat_1 C) (tptp.m1_pboole C B)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.k2_waybel_5 B _let_1 C D))) (=> (tptp.m3_pboole D B C (tptp.k2_pre_circ B _let_1)) (=> (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E B) (tptp.v1_waybel_0 (tptp.k8_yellow_2 (tptp.k1_funct_1 C E) A (tptp.k1_waybel_5 B (tptp.u1_struct_0 A) C D E)) A))) (tptp.v1_waybel_0 (tptp.k8_yellow_2 (tptp.k1_relat_1 _let_2) A (tptp.k5_waybel_5 A _let_2)) A)))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_lattice3 A) (tptp.l1_orders_2 A)) (=> (tptp.v3_waybel_3 A) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v4_yellow_0 B A) (tptp.v7_yellow_0 B A) (tptp.v4_waybel_0 B A) (tptp.m1_yellow_0 B A)) (and (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.v1_lattice3 B) (tptp.v2_lattice3 B) (tptp.v3_waybel_3 B) (tptp.l1_orders_2 B))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.l1_orders_2 B))) (let ((_let_2 (tptp.v4_orders_2 B))) (let ((_let_3 (tptp.v3_orders_2 B))) (let ((_let_4 (tptp.v2_orders_2 B))) (=> (and (not (tptp.v3_struct_0 B)) _let_4 _let_3 _let_2 _let_1) (=> (exists ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.m2_relset_1 C _let_2 _let_1) (tptp.v17_waybel_0 C A B) (tptp.v2_funct_2 C _let_2 _let_1))))) (and _let_4 _let_3 _let_2 (tptp.v1_lattice3 B) (tptp.v2_lattice3 B) (tptp.v3_lattice3 B) _let_1)))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D B C) (tptp.m2_relset_1 D B C)) (forall ((E $$unsorted)) (=> (and (tptp.v1_funct_1 E) (tptp.v1_funct_2 E C B) (tptp.m2_relset_1 E C B)) (=> (= (tptp.k1_partfun1 B C C B D E) (tptp.k6_partfun1 B)) (= (tptp.k13_pboole (tptp.k8_waybel_5 B C A D) (tptp.k8_waybel_5 C B A E)) (tptp.k2_msualg_3 A (tptp.k2_pre_circ A B)))))))))) (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_pboole D A) (forall ((E $$unsorted)) (=> (tptp.m3_pboole E A D (tptp.k2_pre_circ A B)) (forall ((F $$unsorted)) (=> (and (tptp.v1_funct_1 F) (tptp.v1_funct_2 F B C) (tptp.m2_relset_1 F B C)) (tptp.m3_pboole (tptp.k13_pboole E (tptp.k8_waybel_5 B C A F)) A D (tptp.k2_pre_circ 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.m1_pboole D A) (forall ((E $$unsorted)) (=> (tptp.m3_pboole E A D (tptp.k2_pre_circ A B)) (forall ((F $$unsorted)) (=> (and (tptp.v1_funct_1 F) (tptp.v1_funct_2 F B C) (tptp.m2_relset_1 F B C)) (= (tptp.k2_funct_6 (tptp.k3_msualg_3 A D (tptp.k2_pre_circ A B) (tptp.k2_pre_circ A C) E (tptp.k8_waybel_5 B C A F))) (tptp.k2_funct_6 E)))))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_lattice3 A) (tptp.l1_orders_2 A)) (=> (tptp.v3_waybel_3 A) (forall ((B $$unsorted)) (let ((_let_1 (tptp.l1_orders_2 B))) (let ((_let_2 (tptp.v4_orders_2 B))) (let ((_let_3 (tptp.v3_orders_2 B))) (let ((_let_4 (tptp.v2_orders_2 B))) (=> (and (not (tptp.v3_struct_0 B)) _let_4 _let_3 _let_2 _let_1) (=> (exists ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.m2_relset_1 C _let_2 _let_1) (tptp.v17_waybel_0 C A B) (tptp.v22_waybel_0 C A B) (tptp.v2_funct_2 C _let_2 _let_1))))) (and _let_4 _let_3 _let_2 (tptp.v1_lattice3 B) (tptp.v2_lattice3 B) (tptp.v3_waybel_3 B) _let_1))))))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (let ((_let_1 (tptp.k1_funct_1 C E))) (let ((_let_2 (tptp.k1_waybel_5 A B C D E))) (=> (and (not (tptp.v1_xboole_0 A)) (not (tptp.v1_xboole_0 B)) (tptp.m1_pboole C A) (tptp.m3_pboole D A C (tptp.k2_pre_circ A B)) (tptp.m1_subset_1 E 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) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (not (tptp.v1_xboole_0 B)) (tptp.m1_pboole C A) (tptp.m3_pboole D A C (tptp.k2_pre_circ A B)) (tptp.m1_subset_1 E A)) (= (tptp.k1_waybel_5 A B C D E) (tptp.k1_funct_1 D E)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k4_card_3 (tptp.k2_funct_6 D)))) (=> (and (tptp.m1_pboole C A) (tptp.m3_pboole D A C (tptp.k2_pre_circ A B))) (tptp.m3_pboole (tptp.k2_waybel_5 A B C D) _let_1 (tptp.k2_pre_circ _let_1 A) (tptp.k2_pre_circ _let_1 B))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.m1_pboole C A) (tptp.m3_pboole D A C (tptp.k2_pre_circ A B))) (= (tptp.k2_waybel_5 A B C D) (tptp.k7_funct_6 D)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted)) (let ((_let_1 (tptp.k3_waybel_5 A B C D E F))) (let ((_let_2 (tptp.k4_card_3 (tptp.k2_funct_6 D)))) (=> (and (not (tptp.v1_xboole_0 A)) (not (tptp.v1_xboole_0 B)) (tptp.v2_relat_1 C) (tptp.m1_pboole C A) (tptp.m3_pboole D A C (tptp.k2_pre_circ A B)) (tptp.m3_pboole E _let_2 (tptp.k2_pre_circ _let_2 A) (tptp.k2_pre_circ _let_2 B)) (tptp.m1_subset_1 F _let_2)) (and (tptp.v1_funct_1 _let_1) (tptp.v1_funct_2 _let_1 A B) (tptp.m2_relset_1 _let_1 A B)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted)) (let ((_let_1 (tptp.k4_card_3 (tptp.k2_funct_6 D)))) (=> (and (not (tptp.v1_xboole_0 A)) (not (tptp.v1_xboole_0 B)) (tptp.v2_relat_1 C) (tptp.m1_pboole C A) (tptp.m3_pboole D A C (tptp.k2_pre_circ A B)) (tptp.m3_pboole E _let_1 (tptp.k2_pre_circ _let_1 A) (tptp.k2_pre_circ _let_1 B)) (tptp.m1_subset_1 F _let_1)) (= (tptp.k3_waybel_5 A B C D E F) (tptp.k1_funct_1 E F))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.k1_relat_1 B))) (let ((_let_3 (tptp.k4_waybel_5 A B))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A) (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (tptp.v1_funcop_1 B)) (and (tptp.v1_funct_1 _let_3) (tptp.v1_funct_2 _let_3 _let_2 _let_1) (tptp.m2_relset_1 _let_3 _let_2 _let_1))))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.k1_relat_1 B))) (let ((_let_3 (tptp.k5_waybel_5 A B))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A) (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (tptp.v1_funcop_1 B)) (and (tptp.v1_funct_1 _let_3) (tptp.v1_funct_2 _let_3 _let_2 _let_1) (tptp.m2_relset_1 _let_3 _let_2 _let_1))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A B))) (=> (and (not (tptp.v1_xboole_0 A)) (not (tptp.v1_xboole_0 B)) (not (tptp.v1_xboole_0 C)) (tptp.v1_funct_1 D) (tptp.v1_funct_2 D _let_1 C) (tptp.m1_relset_1 D _let_1 C)) (tptp.m3_pboole (tptp.k6_waybel_5 A B C D) A (tptp.k2_pre_circ A B) (tptp.k2_pre_circ A C))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A B))) (=> (and (not (tptp.v1_xboole_0 A)) (not (tptp.v1_xboole_0 B)) (not (tptp.v1_xboole_0 C)) (tptp.v1_funct_1 D) (tptp.v1_funct_2 D _let_1 C) (tptp.m1_relset_1 D _let_1 C)) (= (tptp.k6_waybel_5 A B C D) (tptp.k3_funct_5 D))))) (forall ((A $$unsorted) (B $$unsorted)) (tptp.m1_pboole (tptp.k7_waybel_5 A B) A)) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.k7_waybel_5 A B) (tptp.k2_funcop_1 A B))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D A B) (tptp.m1_relset_1 D A B)) (tptp.m3_pboole (tptp.k8_waybel_5 A B C D) C (tptp.k2_pre_circ C A) (tptp.k2_pre_circ C B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D A B) (tptp.m1_relset_1 D A B)) (= (tptp.k8_waybel_5 A B C D) (tptp.k2_funcop_1 C D)))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (=> (not (tptp.v1_xboole_0 C)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.k2_zfmisc_1 B C))) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D _let_2 _let_1) (tptp.m2_relset_1 D _let_2 _let_1)) (forall ((E $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 E (tptp.k1_zfmisc_1 _let_1)) (=> (= E (tptp.a_4_0_waybel_5 A B C D)) (tptp.r1_orders_2 A (tptp.k1_yellow_0 A E) (tptp.k6_yellow_2 A (tptp.k4_waybel_5 A (tptp.k6_waybel_5 B C _let_1 D)))))))))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_lattice3 A) (tptp.l1_orders_2 A)) (= (tptp.v3_waybel_3 A) (forall ((B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (=> (not (tptp.v1_xboole_0 C)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.k2_zfmisc_1 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 ((E $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 E (tptp.k1_zfmisc_1 _let_1)) (=> (= E (tptp.a_4_0_waybel_5 A B C D)) (= (tptp.k6_yellow_2 A (tptp.k4_waybel_5 A (tptp.k6_waybel_5 B C _let_1 D))) (tptp.k1_yellow_0 A E))))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (and (tptp.r1_yellow_0 A C) (tptp.r1_yellow_0 A D) (= D (tptp.a_3_0_waybel_5 A B C))) (tptp.r1_orders_2 A (tptp.k1_yellow_0 A D) (tptp.k12_lattice3 A B (tptp.k1_yellow_0 A C)))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v1_waybel_5 A) (tptp.l1_orders_2 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.k12_lattice3 A C (tptp.k1_yellow_0 A B)) (tptp.k1_yellow_0 A (tptp.a_3_1_waybel_5 A B C))))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.k2_zfmisc_1 C D))) (=> (and (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.v1_lattice3 B) (tptp.v2_lattice3 B) (tptp.v3_lattice3 B) (tptp.l1_orders_2 B) (not (tptp.v1_xboole_0 C)) (not (tptp.v1_xboole_0 D)) (tptp.v1_funct_1 E) (tptp.v1_funct_2 E _let_2 _let_1) (tptp.m2_relset_1 E _let_2 _let_1)) (= (tptp.r2_hidden A (tptp.a_4_0_waybel_5 B C D E)) (exists ((F $$unsorted)) (and (tptp.m1_subset_1 F (tptp.u1_struct_0 B)) (= A F) (exists ((G $$unsorted)) (and (tptp.v2_relat_1 G) (tptp.m1_pboole G C) (tptp.r2_hidden G (tptp.k1_funct_2 C (tptp.k5_finsub_1 D))) (exists ((H $$unsorted)) (and (tptp.m3_pboole H C G (tptp.k2_pre_circ C (tptp.u1_struct_0 B))) (forall ((I $$unsorted)) (=> (tptp.m1_subset_1 I C) (forall ((J $$unsorted)) (=> (tptp.r2_hidden J (tptp.k1_funct_1 G I)) (= (tptp.k1_funct_1 (tptp.k1_waybel_5 C (tptp.u1_struct_0 B) G H I) J) (tptp.k1_funct_1 E (tptp.k4_tarski I J))))))) (= F (tptp.k6_yellow_2 B (tptp.k4_waybel_5 B H)))))))))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.v2_lattice3 B) (tptp.l1_orders_2 B) (tptp.m1_subset_1 C _let_1) (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 _let_1))) (= (tptp.r2_hidden A (tptp.a_3_0_waybel_5 B C D)) (exists ((E $$unsorted)) (and (tptp.m1_subset_1 E (tptp.u1_struct_0 B)) (= A (tptp.k12_lattice3 B C E)) (tptp.r2_hidden E D))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (=> (and (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.v1_lattice3 B) (tptp.v2_lattice3 B) (tptp.v1_waybel_5 B) (tptp.l1_orders_2 B) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 _let_1)) (tptp.m1_subset_1 D _let_1)) (= (tptp.r2_hidden A (tptp.a_3_1_waybel_5 B C D)) (exists ((E $$unsorted)) (and (tptp.m1_subset_1 E (tptp.u1_struct_0 B)) (= A (tptp.k12_lattice3 B D E)) (tptp.r2_hidden E C))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k7_lattice3 A))) (=> (and (tptp.v2_orders_2 A) (tptp.l1_orders_2 A)) (and (tptp.v1_orders_2 _let_1) (tptp.v2_orders_2 _let_1))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k7_lattice3 A))) (=> (and (tptp.v3_orders_2 A) (tptp.l1_orders_2 A)) (and (tptp.v1_orders_2 _let_1) (tptp.v3_orders_2 _let_1))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k7_lattice3 A))) (=> (and (tptp.v4_orders_2 A) (tptp.l1_orders_2 A)) (and (tptp.v1_orders_2 _let_1) (tptp.v4_orders_2 _let_1))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k7_lattice3 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v16_waybel_0 A) (tptp.l1_orders_2 A)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v1_orders_2 _let_1) (tptp.v16_waybel_0 _let_1))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k7_lattice3 A))) (=> (and (tptp.v2_lattice3 A) (tptp.l1_orders_2 A)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v1_orders_2 _let_1) (tptp.v1_lattice3 _let_1))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k7_lattice3 A))) (=> (and (tptp.v1_lattice3 A) (tptp.l1_orders_2 A)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v1_orders_2 _let_1) (tptp.v2_lattice3 _let_1))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k7_lattice3 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_lattice3 A) (tptp.l1_orders_2 A)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v1_orders_2 _let_1) (tptp.v1_lattice3 _let_1) (tptp.v2_lattice3 _let_1) (tptp.v3_lattice3 _let_1) (tptp.v1_yellow_0 _let_1) (tptp.v2_yellow_0 _let_1) (tptp.v3_yellow_0 _let_1))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k7_lattice3 A))) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v2_waybel_1 A) (tptp.l1_orders_2 A)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v1_orders_2 _let_1) (tptp.v2_orders_2 _let_1) (tptp.v3_orders_2 _let_1) (tptp.v4_orders_2 _let_1) (tptp.v1_lattice3 _let_1) (tptp.v2_lattice3 _let_1) (tptp.v2_waybel_1 _let_1))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k7_lattice3 A))) (=> (and (tptp.v1_yellow_0 A) (tptp.l1_orders_2 A)) (and (tptp.v1_orders_2 _let_1) (tptp.v2_yellow_0 _let_1))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k7_lattice3 A))) (=> (and (tptp.v2_yellow_0 A) (tptp.l1_orders_2 A)) (and (tptp.v1_orders_2 _let_1) (tptp.v1_yellow_0 _let_1))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k7_lattice3 A))) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_yellow_0 A) (tptp.v10_waybel_1 A) (tptp.l1_orders_2 A)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v1_orders_2 _let_1) (tptp.v2_orders_2 _let_1) (tptp.v3_orders_2 _let_1) (tptp.v4_orders_2 _let_1) (tptp.v1_lattice3 _let_1) (tptp.v2_lattice3 _let_1) (tptp.v1_yellow_0 _let_1) (tptp.v2_yellow_0 _let_1) (tptp.v3_yellow_0 _let_1) (tptp.v10_waybel_1 _let_1))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k1_yellow_7 A))) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v11_waybel_1 A) (tptp.l1_orders_2 A)) (and (tptp.v1_relat_1 _let_1) (tptp.v1_funct_1 _let_1) (tptp.v2_funct_1 _let_1) (tptp.v1_funct_2 _let_1 (tptp.u1_struct_0 A) (tptp.u1_struct_0 (tptp.k7_lattice3 A))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k7_lattice3 A))) (let ((_let_2 (tptp.k1_yellow_7 A))) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v11_waybel_1 A) (tptp.l1_orders_2 A)) (and (tptp.v1_relat_1 _let_2) (tptp.v1_funct_1 _let_2) (tptp.v2_funct_1 _let_2) (tptp.v1_funct_2 _let_2 (tptp.u1_struct_0 A) (tptp.u1_struct_0 _let_1)) (tptp.v23_waybel_0 _let_2 A _let_1) (tptp.v5_orders_3 _let_2 A _let_1)))))) (forall ((A $$unsorted)) (let ((_let_1 (not (tptp.v3_struct_0 A)))) (=> (tptp.l1_orders_2 A) (=> (and _let_1 (tptp.v1_waybel_5 A)) (and _let_1 (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_lattice3 A) (tptp.v1_yellow_0 A) (tptp.v2_yellow_0 A) (tptp.v3_yellow_0 A)))))) (exists ((A $$unsorted)) (and (tptp.l1_orders_2 A) (not (tptp.v3_struct_0 A)) (tptp.v1_orders_2 A) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_lattice3 A) (tptp.v1_yellow_0 A) (tptp.v2_yellow_0 A) (tptp.v3_yellow_0 A) (tptp.v16_waybel_0 A) (tptp.v24_waybel_0 A) (tptp.v25_waybel_0 A) (tptp.v2_waybel_1 A) (tptp.v9_waybel_1 A) (tptp.v1_waybel_5 A) (tptp.v3_realset2 A))) (forall ((A $$unsorted)) (=> (tptp.l1_orders_2 A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 (tptp.k7_lattice3 A))) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k7_lattice3 A))) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 _let_1)) (= (tptp.r1_orders_2 _let_1 B C) (tptp.r1_orders_2 A (tptp.k9_lattice3 A C) (tptp.k9_lattice3 A B)))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_orders_2 A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k9_lattice3 A C))) (let ((_let_2 (tptp.r1_orders_2 A _let_1 B))) (let ((_let_3 (tptp.k8_lattice3 A B))) (let ((_let_4 (tptp.k7_lattice3 A))) (let ((_let_5 (tptp.r1_orders_2 _let_4 _let_3 C))) (let ((_let_6 (tptp.r1_orders_2 A B _let_1))) (let ((_let_7 (tptp.r1_orders_2 _let_4 C _let_3))) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 _let_4)) (and (=> _let_6 _let_7) (=> _let_7 _let_6) (=> _let_2 _let_5) (=> _let_5 _let_2))))))))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_orders_2 A) (= (tptp.v3_struct_0 A) (tptp.v3_struct_0 (tptp.k7_lattice3 A))))) (forall ((A $$unsorted)) (=> (tptp.l1_orders_2 A) (= (tptp.v2_orders_2 A) (tptp.v2_orders_2 (tptp.k7_lattice3 A))))) (forall ((A $$unsorted)) (=> (tptp.l1_orders_2 A) (= (tptp.v4_orders_2 A) (tptp.v4_orders_2 (tptp.k7_lattice3 A))))) (forall ((A $$unsorted)) (=> (tptp.l1_orders_2 A) (= (tptp.v3_orders_2 A) (tptp.v3_orders_2 (tptp.k7_lattice3 A))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (= (tptp.v16_waybel_0 A) (tptp.v16_waybel_0 (tptp.k7_lattice3 A))))) (forall ((A $$unsorted)) (=> (tptp.l1_orders_2 A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.r2_lattice3 A C B))) (let ((_let_2 (tptp.k8_lattice3 A B))) (let ((_let_3 (tptp.k7_lattice3 A))) (let ((_let_4 (tptp.r1_lattice3 _let_3 C _let_2))) (let ((_let_5 (tptp.r1_lattice3 A C B))) (let ((_let_6 (tptp.r2_lattice3 _let_3 C _let_2))) (and (=> _let_5 _let_6) (=> _let_6 _let_5) (=> _let_1 _let_4) (=> _let_4 _let_1))))))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_orders_2 A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 (tptp.k7_lattice3 A))) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k7_lattice3 A))) (let ((_let_2 (tptp.r2_lattice3 _let_1 C B))) (let ((_let_3 (tptp.k9_lattice3 A B))) (let ((_let_4 (tptp.r1_lattice3 A C _let_3))) (let ((_let_5 (tptp.r1_lattice3 _let_1 C B))) (let ((_let_6 (tptp.r2_lattice3 A C _let_3))) (and (=> _let_5 _let_6) (=> _let_6 _let_5) (=> _let_2 _let_4) (=> _let_4 _let_2))))))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_orders_2 A) (forall ((B $$unsorted)) (= (tptp.r1_yellow_0 A B) (tptp.r2_yellow_0 (tptp.k7_lattice3 A) B))))) (forall ((A $$unsorted)) (=> (tptp.l1_orders_2 A) (forall ((B $$unsorted)) (= (tptp.r1_yellow_0 (tptp.k7_lattice3 A) B) (tptp.r2_yellow_0 A B))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k7_lattice3 A))) (=> (or (tptp.r1_yellow_0 A B) (tptp.r2_yellow_0 _let_1 B)) (= (tptp.k1_yellow_0 A B) (tptp.k2_yellow_0 _let_1 B))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k7_lattice3 A))) (=> (or (tptp.r2_yellow_0 A B) (tptp.r1_yellow_0 _let_1 B)) (= (tptp.k2_yellow_0 A B) (tptp.k1_yellow_0 _let_1 B))))))) (forall ((A $$unsorted)) (=> (tptp.l1_orders_2 A) (forall ((B $$unsorted)) (=> (tptp.l1_orders_2 B) (=> (and (= (tptp.g1_orders_2 (tptp.u1_struct_0 A) (tptp.u1_orders_2 A)) (tptp.g1_orders_2 (tptp.u1_struct_0 B) (tptp.u1_orders_2 B))) (tptp.v2_lattice3 A)) (tptp.v2_lattice3 B)))))) (forall ((A $$unsorted)) (=> (tptp.l1_orders_2 A) (forall ((B $$unsorted)) (=> (tptp.l1_orders_2 B) (=> (and (= (tptp.g1_orders_2 (tptp.u1_struct_0 A) (tptp.u1_orders_2 A)) (tptp.g1_orders_2 (tptp.u1_struct_0 B) (tptp.u1_orders_2 B))) (tptp.v1_lattice3 A)) (tptp.v1_lattice3 B)))))) (forall ((A $$unsorted)) (=> (tptp.l1_orders_2 A) (= (tptp.v2_lattice3 A) (tptp.v1_lattice3 (tptp.k7_lattice3 A))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (= (tptp.v3_lattice3 A) (tptp.v3_lattice3 (tptp.k7_lattice3 A))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k7_lattice3 A))) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 _let_1))) (=> (= B C) (and (= (tptp.k13_waybel_0 A B) (tptp.k12_waybel_0 _let_1 C)) (= (tptp.k12_waybel_0 A B) (tptp.k13_waybel_0 _let_1 C))))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_orders_2 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.k7_lattice3 A))) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 _let_1))) (=> (= B C) (and (= (tptp.k4_waybel_0 A B) (tptp.k5_waybel_0 _let_1 C)) (= (tptp.k5_waybel_0 A B) (tptp.k4_waybel_0 _let_1 C))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k7_lattice3 A))) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 _let_1)) (=> (= B C) (and (= (tptp.k6_waybel_0 A B) (tptp.k7_waybel_0 _let_1 C)) (= (tptp.k7_waybel_0 A B) (tptp.k6_waybel_0 _let_1 C))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 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.k12_lattice3 A B C) (tptp.k13_lattice3 (tptp.k7_lattice3 A) (tptp.k8_lattice3 A B) (tptp.k8_lattice3 A C))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 (tptp.k7_lattice3 A))) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k7_lattice3 A))) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 _let_1)) (= (tptp.k12_lattice3 A (tptp.k9_lattice3 A B) (tptp.k9_lattice3 A C)) (tptp.k13_lattice3 _let_1 B C))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.l1_orders_2 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.k13_lattice3 A B C) (tptp.k12_lattice3 (tptp.k7_lattice3 A) (tptp.k8_lattice3 A B) (tptp.k8_lattice3 A C))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 (tptp.k7_lattice3 A))) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k7_lattice3 A))) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 _let_1)) (= (tptp.k13_lattice3 A (tptp.k9_lattice3 A B) (tptp.k9_lattice3 A C)) (tptp.k12_lattice3 _let_1 B C))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 A)) (= (tptp.v2_waybel_1 A) (tptp.v2_waybel_1 (tptp.k7_lattice3 A))))) (forall ((A $$unsorted)) (=> (tptp.l1_orders_2 A) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k7_lattice3 A))) (= (and (tptp.v1_waybel_0 B A) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (and (tptp.v2_waybel_0 B _let_1) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 _let_1))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_orders_2 A) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k7_lattice3 A))) (= (and (tptp.v1_waybel_0 B _let_1) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 _let_1)))) (and (tptp.v2_waybel_0 B A) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_orders_2 A) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k7_lattice3 A))) (= (and (tptp.v12_waybel_0 B A) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (and (tptp.v13_waybel_0 B _let_1) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 _let_1))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_orders_2 A) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k7_lattice3 A))) (= (and (tptp.v12_waybel_0 B _let_1) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 _let_1)))) (and (tptp.v13_waybel_0 B A) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_orders_2 A) (= (tptp.v1_yellow_0 A) (tptp.v2_yellow_0 (tptp.k7_lattice3 A))))) (forall ((A $$unsorted)) (=> (tptp.l1_orders_2 A) (= (tptp.v1_yellow_0 (tptp.k7_lattice3 A)) (tptp.v2_yellow_0 A)))) (forall ((A $$unsorted)) (=> (tptp.l1_orders_2 A) (= (tptp.v3_yellow_0 A) (tptp.v3_yellow_0 (tptp.k7_lattice3 A))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k3_yellow_0 A))) (let ((_let_2 (tptp.k4_yellow_0 (tptp.k7_lattice3 A)))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_orders_2 A) (tptp.v1_yellow_0 A) (tptp.l1_orders_2 A)) (and (= (tptp.k8_lattice3 A _let_1) _let_2) (= (tptp.k9_lattice3 A _let_2) _let_1)))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k4_yellow_0 A))) (let ((_let_2 (tptp.k3_yellow_0 (tptp.k7_lattice3 A)))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_orders_2 A) (tptp.v2_yellow_0 A) (tptp.l1_orders_2 A)) (and (= (tptp.k8_lattice3 A _let_1) _let_2) (= (tptp.k9_lattice3 A _let_2) _let_1)))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_yellow_0 A) (tptp.l1_orders_2 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.r6_waybel_1 A B C) (tptp.r6_waybel_1 (tptp.k7_lattice3 A) (tptp.k8_lattice3 A B) (tptp.k8_lattice3 A C))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_yellow_0 A) (tptp.l1_orders_2 A)) (= (tptp.v10_waybel_1 A) (tptp.v10_waybel_1 (tptp.k7_lattice3 A))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v11_waybel_1 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (= (tptp.k7_waybel_1 (tptp.k7_lattice3 A) (tptp.k8_lattice3 A B)) (tptp.k7_waybel_1 A B)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 (tptp.k7_lattice3 A)))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_2 _let_1) (tptp.m2_relset_1 B _let_2 _let_1)) (= (= B (tptp.k1_yellow_7 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (tptp.k1_waybel_0 A (tptp.k7_lattice3 A) B C) (tptp.k7_waybel_1 A C))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v11_waybel_1 A) (tptp.l1_orders_2 A)) (tptp.r5_waybel_1 A (tptp.k7_lattice3 A)))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.l1_orders_2 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (let ((_let_3 (tptp.v1_funct_1 C))) (let ((_let_4 (and _let_3 (tptp.v1_funct_2 C _let_2 _let_1) (tptp.m2_relset_1 C _let_2 _let_1)))) (let ((_let_5 (tptp.u1_struct_0 (tptp.k7_lattice3 B)))) (let ((_let_6 (tptp.u1_struct_0 (tptp.k7_lattice3 A)))) (let ((_let_7 (and _let_3 (tptp.v1_funct_2 C _let_6 _let_5) (tptp.m2_relset_1 C _let_6 _let_5)))) (let ((_let_8 (and _let_3 (tptp.v1_funct_2 C _let_2 _let_5) (tptp.m2_relset_1 C _let_2 _let_5)))) (let ((_let_9 (and _let_3 (tptp.v1_funct_2 C _let_6 _let_1) (tptp.m2_relset_1 C _let_6 _let_1)))) (and (=> _let_4 _let_9) (=> _let_9 _let_4) (=> _let_4 _let_8) (=> _let_8 _let_4) (=> _let_4 _let_7) (=> _let_7 _let_4)))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.l1_orders_2 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.m2_relset_1 C _let_2 _let_1)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.v5_waybel_0 C A B))) (let ((_let_2 (tptp.k7_lattice3 B))) (let ((_let_3 (tptp.v5_orders_3 D A _let_2))) (let ((_let_4 (tptp.v5_orders_3 C A B))) (let ((_let_5 (tptp.v5_waybel_0 D A _let_2))) (let ((_let_6 (tptp.u1_struct_0 _let_2))) (let ((_let_7 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D _let_7 _let_6) (tptp.m2_relset_1 D _let_7 _let_6)) (=> (= C D) (and (=> _let_4 _let_5) (=> _let_5 _let_4) (=> _let_1 _let_3) (=> _let_3 _let_1)))))))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.l1_orders_2 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 (tptp.k7_lattice3 B)))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.m2_relset_1 C _let_2 _let_1)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k7_lattice3 B))) (let ((_let_2 (tptp.v5_waybel_0 C A _let_1))) (let ((_let_3 (tptp.k7_lattice3 A))) (let ((_let_4 (tptp.v5_waybel_0 D _let_3 B))) (let ((_let_5 (tptp.v5_orders_3 C A _let_1))) (let ((_let_6 (tptp.v5_orders_3 D _let_3 B))) (let ((_let_7 (tptp.u1_struct_0 B))) (let ((_let_8 (tptp.u1_struct_0 _let_3))) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D _let_8 _let_7) (tptp.m2_relset_1 D _let_8 _let_7)) (=> (= C D) (and (=> _let_5 _let_6) (=> _let_6 _let_5) (=> _let_2 _let_4) (=> _let_4 _let_2))))))))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.l1_orders_2 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.m2_relset_1 C _let_2 _let_1)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.v5_waybel_0 C A B))) (let ((_let_2 (tptp.k7_lattice3 B))) (let ((_let_3 (tptp.k7_lattice3 A))) (let ((_let_4 (tptp.v5_waybel_0 D _let_3 _let_2))) (let ((_let_5 (tptp.v5_orders_3 C A B))) (let ((_let_6 (tptp.v5_orders_3 D _let_3 _let_2))) (let ((_let_7 (tptp.u1_struct_0 _let_2))) (let ((_let_8 (tptp.u1_struct_0 _let_3))) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D _let_8 _let_7) (tptp.m2_relset_1 D _let_8 _let_7)) (=> (= C D) (and (=> _let_5 _let_6) (=> _let_6 _let_5) (=> _let_1 _let_4) (=> _let_4 _let_1))))))))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.l1_orders_2 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.m1_waybel_1 C A B))) (let ((_let_2 (tptp.k7_lattice3 B))) (let ((_let_3 (tptp.k7_lattice3 A))) (let ((_let_4 (tptp.m1_waybel_1 C _let_3 _let_2))) (let ((_let_5 (tptp.m1_waybel_1 C A _let_2))) (let ((_let_6 (tptp.m1_waybel_1 C _let_3 B))) (and (=> _let_1 _let_6) (=> _let_6 _let_1) (=> _let_1 _let_5) (=> _let_5 _let_1) (=> _let_1 _let_4) (=> _let_4 _let_1))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.l1_orders_2 B)) (forall ((C $$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)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.u1_struct_0 B))) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D _let_2 _let_1) (tptp.m2_relset_1 D _let_2 _let_1)) (forall ((E $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 (tptp.k7_lattice3 B)))) (let ((_let_2 (tptp.u1_struct_0 (tptp.k7_lattice3 A)))) (=> (and (tptp.v1_funct_1 E) (tptp.v1_funct_2 E _let_2 _let_1) (tptp.m2_relset_1 E _let_2 _let_1)) (forall ((F $$unsorted)) (let ((_let_1 (tptp.k7_lattice3 A))) (let ((_let_2 (tptp.k7_lattice3 B))) (let ((_let_3 (tptp.u1_struct_0 _let_1))) (let ((_let_4 (tptp.u1_struct_0 _let_2))) (=> (and (tptp.v1_funct_1 F) (tptp.v1_funct_2 F _let_4 _let_3) (tptp.m2_relset_1 F _let_4 _let_3)) (=> (and (= C E) (= D F)) (= (tptp.v3_waybel_1 (tptp.k1_waybel_1 A B C D) A B) (tptp.v3_waybel_1 (tptp.k1_waybel_1 _let_2 _let_1 F E) _let_2 _let_1))))))))))))))))))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (=> (tptp.m1_pboole C A) (forall ((D $$unsorted)) (=> (tptp.m3_pboole D A C (tptp.k2_pre_circ A B)) (= (tptp.k2_funct_6 D) C))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (forall ((B $$unsorted) (C $$unsorted)) (=> (tptp.m1_pboole C B) (forall ((D $$unsorted)) (= (tptp.m3_pboole D B C (tptp.k2_pre_circ B (tptp.u1_struct_0 A))) (tptp.m3_pboole D B C (tptp.k2_pre_circ B (tptp.u1_struct_0 (tptp.k7_lattice3 A)))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (=> (and (tptp.v2_relat_1 C) (tptp.m1_pboole C B)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m3_pboole D B C (tptp.k2_pre_circ B _let_1)) (tptp.r3_orders_2 A (tptp.k5_yellow_2 A (tptp.k5_waybel_5 A D)) (tptp.k6_yellow_2 A (tptp.k4_waybel_5 A (tptp.k2_waybel_5 B _let_1 C D))))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_lattice3 A) (tptp.l1_orders_2 A)) (= (tptp.v1_waybel_5 A) (forall ((B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (=> (and (tptp.v2_relat_1 C) (tptp.m1_pboole C B)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m3_pboole D B C (tptp.k2_pre_circ B _let_1)) (= (tptp.k5_yellow_2 A (tptp.k5_waybel_5 A D)) (tptp.k6_yellow_2 A (tptp.k4_waybel_5 A (tptp.k2_waybel_5 B _let_1 C D)))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_orders_2 A) (tptp.v3_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k7_lattice3 A))) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (and (= (tptp.k5_yellow_2 A B) (tptp.k6_yellow_2 _let_1 B)) (= (tptp.k6_yellow_2 A B) (tptp.k5_yellow_2 _let_1 B)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_orders_2 A) (tptp.v3_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k7_lattice3 A))) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (tptp.v1_funcop_1 B)) (and (= (tptp.k4_waybel_5 A B) (tptp.k5_waybel_5 _let_1 B)) (= (tptp.k5_waybel_5 A B) (tptp.k4_waybel_5 _let_1 B)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.l1_orders_2 A)) (= (tptp.v1_waybel_5 A) (tptp.v1_waybel_5 (tptp.k7_lattice3 A))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 (tptp.k7_lattice3 A)))) (let ((_let_2 (tptp.u1_struct_0 A))) (let ((_let_3 (tptp.k1_yellow_7 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (and (tptp.v1_funct_1 _let_3) (tptp.v1_funct_2 _let_3 _let_2 _let_1) (tptp.m2_relset_1 _let_3 _let_2 _let_1))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (not (tptp.v1_xboole_0 B)) (tptp.v2_relat_1 C) (tptp.m1_pboole C A) (tptp.m3_pboole D A C (tptp.k2_pre_circ A B)) (tptp.m1_subset_1 E A) (tptp.m1_subset_1 F (tptp.k1_funct_1 C E))) (tptp.m1_subset_1 (tptp.k2_yellow_7 A B C D E F) B))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (not (tptp.v1_xboole_0 B)) (tptp.v2_relat_1 C) (tptp.m1_pboole C A) (tptp.m3_pboole D A C (tptp.k2_pre_circ A B)) (tptp.m1_subset_1 E A) (tptp.m1_subset_1 F (tptp.k1_funct_1 C E))) (= (tptp.k2_yellow_7 A B C D E F) (tptp.k5_funct_6 D E F)))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.v5_orders_2 B A))) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> _let_1 (and _let_1 (tptp.v1_waybel_0 B A) (tptp.v2_waybel_0 B A)))))))) (exists ((A $$unsorted)) (and (tptp.l1_orders_2 A) (not (tptp.v3_struct_0 A)) (tptp.v1_orders_2 A) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_yellow_0 A) (tptp.v2_yellow_0 A) (tptp.v3_yellow_0 A) (tptp.v24_waybel_0 A) (tptp.v25_waybel_0 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_lattice3 A) (tptp.v2_waybel_1 A) (tptp.v2_waybel_3 A) (tptp.v3_waybel_3 A))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_lattice3 A) (tptp.l1_orders_2 A) (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.v1_lattice3 B) (tptp.v2_lattice3 B) (tptp.v3_lattice3 B) (tptp.l1_orders_2 B)) (exists ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (and (tptp.m1_relset_1 C _let_2 _let_1) (tptp.v1_relat_1 C) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.v18_waybel_0 C A B) (tptp.v20_waybel_0 C A B) (tptp.v22_waybel_0 C A B))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_yellow_0 A) (tptp.v24_waybel_0 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 A)) (exists ((B $$unsorted)) (and (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (not (tptp.v1_xboole_0 B)) (tptp.v2_waybel_0 B A) (tptp.v13_waybel_0 B A) (tptp.v1_waybel_6 B A))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_orders_2 A) (tptp.v2_yellow_0 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 A)) (exists ((B $$unsorted)) (and (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (tptp.v2_waybel_6 B A))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_orders_2 A) (tptp.v2_yellow_0 A) (tptp.l1_orders_2 A)) (exists ((B $$unsorted)) (and (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (tptp.v5_waybel_6 B A))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.v2_lattice3 B) (tptp.l1_orders_2 B)) (forall ((C $$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.v19_waybel_0 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 A))) (=> (tptp.m1_subset_1 E _let_1) (= (tptp.k7_yellow_2 _let_1 B C (tptp.k12_lattice3 A D E)) (tptp.k12_lattice3 B (tptp.k7_yellow_2 _let_1 B C D) (tptp.k7_yellow_2 _let_1 B C E))))))))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.v1_lattice3 B) (tptp.l1_orders_2 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.m2_relset_1 C _let_2 _let_1)) (= (tptp.v20_waybel_0 C A B) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (forall ((E $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 E _let_1) (= (tptp.k7_yellow_2 _let_1 B C (tptp.k13_lattice3 A D E)) (tptp.k13_lattice3 B (tptp.k7_yellow_2 _let_1 B C D) (tptp.k7_yellow_2 _let_1 B C E))))))))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.v1_lattice3 B) (tptp.v2_lattice3 B) (tptp.l1_orders_2 B)) (forall ((C $$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.v2_waybel_1 B) (tptp.v19_waybel_0 C A B) (tptp.v20_waybel_0 C A B) (tptp.v2_funct_1 C)) (tptp.v2_waybel_1 A)))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.v1_lattice3 B) (tptp.v2_lattice3 B) (tptp.v3_lattice3 B) (tptp.l1_orders_2 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.v18_waybel_0 C A B) (tptp.m2_relset_1 C _let_2 _let_1)) (=> (and (tptp.v2_waybel_2 B) (tptp.v19_waybel_0 C A B) (tptp.v2_funct_1 C)) (tptp.v2_waybel_2 A)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (tptp.v1_waybel_6 B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (not (and (tptp.r2_hidden C B) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (not (and (tptp.r2_hidden D B) (tptp.r1_waybel_3 A D C)))))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v24_waybel_0 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (tptp.v13_waybel_0 B A) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (= (tptp.v1_waybel_6 B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (not (and (tptp.r2_hidden C B) (tptp.r1_xboole_0 (tptp.k1_waybel_3 A C) B)))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_yellow_0 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_waybel_3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (tptp.v1_waybel_6 (tptp.k2_waybel_3 A B) A))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_yellow_0 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_waybel_3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (not (and (tptp.r1_waybel_3 A B C) (forall ((D $$unsorted)) (=> (and (not (tptp.v1_xboole_0 D)) (tptp.v2_waybel_0 D A) (tptp.v13_waybel_0 D A) (tptp.v1_waybel_6 D A) (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (not (and (tptp.r2_hidden C D) (tptp.r1_tarski D (tptp.k2_waybel_3 A B)))))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (tptp.v13_waybel_0 B A) (tptp.v1_waybel_6 B A) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 C _let_1) (not (and (tptp.r2_hidden C (tptp.k3_subset_1 _let_1 B)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 D _let_1) (not (and (tptp.r3_orders_2 A C D) (tptp.r3_waybel_4 A (tptp.k3_subset_1 _let_1 B) D))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (= (tptp.v2_waybel_6 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)) (not (and (= B (tptp.k11_lattice3 A C D)) (not (= C B)) (not (= D B))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (= (tptp.v3_waybel_6 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)) (not (and (= B (tptp.k10_lattice3 A C D)) (not (= C B)) (not (= D B))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (= B (tptp.k3_waybel_6 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (tptp.r2_hidden C B) (tptp.v2_waybel_6 C A))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_orders_2 A) (tptp.v2_yellow_0 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 A)) (tptp.v2_waybel_6 (tptp.k4_yellow_0 A) A))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (= (tptp.v2_waybel_6 B A) (forall ((C $$unsorted)) (=> (and (not (tptp.v1_xboole_0 C)) (tptp.v1_finset_1 C) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (=> (= B (tptp.k2_yellow_0 A C)) (tptp.r2_hidden B C))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.k6_subset_1 _let_1 (tptp.k7_waybel_0 A B) (tptp.k1_struct_0 A B)))) (=> (tptp.m1_subset_1 B _let_1) (=> (and (not (tptp.v1_xboole_0 _let_2)) (tptp.v2_waybel_0 _let_2 A) (tptp.v13_waybel_0 _let_2 A) (tptp.m1_subset_1 _let_2 (tptp.k1_zfmisc_1 _let_1))) (tptp.v2_waybel_6 B A)))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 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.v2_waybel_0 C A) (tptp.v13_waybel_0 C A) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 _let_1))) (=> (tptp.r3_waybel_4 A (tptp.k3_subset_1 _let_1 C) B) (tptp.v2_waybel_6 B A))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_yellow_0 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_waybel_3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (not (and (not (tptp.r3_orders_2 A C B)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (not (and (tptp.v2_waybel_6 D A) (tptp.r3_orders_2 A B D) (not (tptp.r3_orders_2 A C D)))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (tptp.v4_waybel_6 B A) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.k5_subset_1 _let_1 (tptp.k7_waybel_0 A C) B))) (=> (tptp.m1_subset_1 C _let_1) (and (tptp.r2_yellow_0 A _let_2) (= C (tptp.k2_yellow_0 A _let_2)))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_yellow_0 A) (tptp.v24_waybel_0 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (tptp.v4_waybel_6 B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (exists ((D $$unsorted)) (and (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 B)) (= C (tptp.k2_yellow_0 A D))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_yellow_0 A) (tptp.v24_waybel_0 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (tptp.v4_waybel_6 B A) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 _let_1)) (=> (and (tptp.r1_tarski B C) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 C)) (tptp.r2_hidden (tptp.k2_yellow_0 A D) C)))) (= _let_1 C)))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_yellow_0 A) (tptp.v24_waybel_0 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (tptp.v4_waybel_6 B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (not (and (not (tptp.r3_orders_2 A D C)) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.u1_struct_0 A)) (not (and (tptp.r2_hidden E B) (tptp.r3_orders_2 A C E) (not (tptp.r3_orders_2 A D E))))))))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_yellow_0 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_waybel_3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 _let_1)) (=> (= B (tptp.k6_subset_1 _let_1 (tptp.k3_waybel_6 A) (tptp.k1_struct_0 A (tptp.k4_yellow_0 A)))) (tptp.v4_waybel_6 B A))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_yellow_0 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_waybel_3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (and (tptp.v4_waybel_6 B A) (tptp.r1_tarski B C)) (tptp.v4_waybel_6 C A)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (= (tptp.v5_waybel_6 B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (not (and (tptp.r1_orders_2 A (tptp.k11_lattice3 A C D) B) (not (tptp.r1_orders_2 A C B)) (not (tptp.r1_orders_2 A D B))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (= B (tptp.k4_waybel_6 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (tptp.r2_hidden C B) (tptp.v5_waybel_6 C A))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (= (tptp.v6_waybel_6 B A) (tptp.v5_waybel_6 (tptp.k8_lattice3 A B) (tptp.k7_lattice3 A))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_orders_2 A) (tptp.v2_yellow_0 A) (tptp.l1_orders_2 A)) (tptp.v5_waybel_6 (tptp.k4_yellow_0 A) A))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_orders_2 A) (tptp.v1_yellow_0 A) (tptp.l1_orders_2 A)) (tptp.v6_waybel_6 (tptp.k3_yellow_0 A) A))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (= (tptp.v5_waybel_6 B A) (forall ((C $$unsorted)) (=> (and (not (tptp.v1_xboole_0 C)) (tptp.v1_finset_1 C) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (not (and (tptp.r1_orders_2 A (tptp.k2_yellow_0 A C) B) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (not (and (tptp.r2_hidden D C) (tptp.r1_orders_2 A D B)))))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (= (tptp.v6_waybel_6 B A) (forall ((C $$unsorted)) (=> (and (not (tptp.v1_xboole_0 C)) (tptp.v1_finset_1 C) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (not (and (tptp.r3_orders_2 A B (tptp.k1_yellow_0 A C)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (not (and (tptp.r2_hidden D C) (tptp.r3_orders_2 A B D)))))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (=> (tptp.v5_waybel_6 B A) (tptp.v2_waybel_6 B A)))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (= (tptp.v5_waybel_6 B A) (forall ((C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k3_yellow_1 (tptp.k1_tarski C)))) (let ((_let_2 (tptp.u1_struct_0 _let_1))) (let ((_let_3 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D _let_3 _let_2) (tptp.m2_relset_1 D _let_3 _let_2)) (=> (forall ((E $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 E _let_1) (= (= (tptp.k7_yellow_2 _let_1 (tptp.k3_yellow_1 (tptp.k1_tarski C)) D E) tptp.k1_xboole_0) (tptp.r3_orders_2 A E B))))) (and (tptp.v19_waybel_0 D A _let_1) (tptp.v20_waybel_0 D A _let_1))))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v2_yellow_0 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.k3_subset_1 _let_1 (tptp.k6_waybel_0 A B)))) (=> (tptp.m1_subset_1 B _let_1) (=> (not (= B (tptp.k4_yellow_0 A))) (= (tptp.v5_waybel_6 B A) (and (not (tptp.v1_xboole_0 _let_2)) (tptp.v2_waybel_0 _let_2 A) (tptp.v13_waybel_0 _let_2 A) (tptp.m1_subset_1 _let_2 (tptp.k1_zfmisc_1 _let_1))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v2_waybel_1 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (= (tptp.v5_waybel_6 B A) (tptp.v2_waybel_6 B A)))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v2_waybel_1 A) (tptp.l1_orders_2 A)) (= (tptp.k4_waybel_6 A) (tptp.k3_waybel_6 A)))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v11_waybel_1 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (=> (not (= B (tptp.k4_yellow_0 A))) (= (tptp.v5_waybel_6 B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (=> (tptp.r2_orders_2 A B C) (= C (tptp.k4_yellow_0 A))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_yellow_0 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v2_waybel_1 A) (tptp.v3_waybel_3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (=> (not (= B (tptp.k4_yellow_0 A))) (= (tptp.v5_waybel_6 B A) (exists ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (and (not (tptp.v1_xboole_0 C)) (tptp.v2_waybel_0 C A) (tptp.v13_waybel_0 C A) (tptp.v1_waybel_6 C A) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 _let_1)) (tptp.r3_waybel_4 A (tptp.k3_subset_1 _let_1 C) B)))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_orders_2 A) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 (tptp.k3_yellow_1 (tptp.k1_tarski tptp.k1_xboole_0))))) (let ((_let_2 (tptp.u1_struct_0 A))) (let ((_let_3 (tptp.k5_funct_3 B _let_2))) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 _let_2)) (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 $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 C _let_1) (= (= (tptp.k8_funct_2 _let_1 (tptp.k2_tarski tptp.np__0 tptp.np__1) (tptp.k5_funct_3 (tptp.k3_subset_1 _let_1 (tptp.k6_waybel_0 A B)) _let_1) C) tptp.k1_xboole_0) (tptp.r1_orders_2 A C B))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v2_yellow_0 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 (tptp.k3_yellow_1 (tptp.k1_tarski tptp.k1_xboole_0))))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_2 _let_1) (tptp.m2_relset_1 B _let_2 _let_1)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k3_yellow_1 (tptp.k1_tarski tptp.k1_xboole_0)))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (tptp.v5_waybel_6 C A) (tptp.m1_subset_1 C _let_2)) (=> (= (tptp.k5_funct_3 (tptp.k3_subset_1 _let_2 (tptp.k6_waybel_0 A C)) _let_2) B) (and (tptp.v19_waybel_0 B A _let_1) (tptp.v20_waybel_0 B A _let_1))))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_lattice3 A) (tptp.l1_orders_2 A)) (=> (tptp.v4_waybel_6 (tptp.k4_waybel_6 A) A) (and (tptp.v2_waybel_1 A) (tptp.v2_waybel_2 A))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_yellow_0 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_waybel_3 A) (tptp.l1_orders_2 A)) (= (tptp.v2_waybel_1 A) (tptp.v4_waybel_6 (tptp.k4_waybel_6 A) A)))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_yellow_0 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_waybel_3 A) (tptp.l1_orders_2 A)) (= (tptp.v2_waybel_1 A) (tptp.v9_waybel_1 A)))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_lattice3 A) (tptp.v3_waybel_3 A) (tptp.l1_orders_2 A)) (=> (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (exists ((C $$unsorted)) (and (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= B (tptp.k1_yellow_0 A C)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (=> (tptp.r2_hidden D C) (tptp.v6_waybel_6 D A)))))))) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (= B (tptp.k1_yellow_0 A (tptp.k3_xboole_0 (tptp.k1_waybel_3 A B) (tptp.k4_waybel_6 (tptp.k7_lattice3 A)))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_lattice3 A) (tptp.l1_orders_2 A)) (= (tptp.v1_waybel_5 A) (and (tptp.v3_waybel_3 A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (exists ((C $$unsorted)) (and (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= B (tptp.k1_yellow_0 A C)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (=> (tptp.r2_hidden D C) (tptp.v6_waybel_6 D A)))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_lattice3 A) (tptp.l1_orders_2 A)) (= (tptp.v1_waybel_5 A) (and (tptp.v2_waybel_1 A) (tptp.v3_waybel_3 A) (tptp.v3_waybel_3 (tptp.k7_lattice3 A)))))) (=> (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A (tptp.u1_struct_0 tptp.f1_s1_waybel_6)) (not (and (tptp.r2_hidden A tptp.f2_s1_waybel_6) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 tptp.f1_s1_waybel_6)) (not (and (tptp.r2_hidden B tptp.f3_s1_waybel_6) (tptp.p1_s1_waybel_6 A B))))))))) (exists ((A $$unsorted)) (and (tptp.v1_funct_1 A) (tptp.v1_funct_2 A tptp.f2_s1_waybel_6 tptp.f3_s1_waybel_6) (tptp.m2_relset_1 A tptp.f2_s1_waybel_6 tptp.f3_s1_waybel_6) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 tptp.f1_s1_waybel_6)) (not (and (tptp.r2_hidden B tptp.f2_s1_waybel_6) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 tptp.f1_s1_waybel_6)) (not (and (tptp.r2_hidden C tptp.f3_s1_waybel_6) (= C (tptp.k1_funct_1 A B)) (tptp.p1_s1_waybel_6 B C)))))))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k1_waybel_6 A B C D))) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 A) (not (tptp.v1_xboole_0 B)) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C B B) (tptp.m1_relset_1 C B B) (tptp.m1_subset_1 D tptp.k5_numbers)) (and (tptp.v1_funct_1 _let_1) (tptp.v1_funct_2 _let_1 B B) (tptp.m2_relset_1 _let_1 B B))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 A) (not (tptp.v1_xboole_0 B)) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C B B) (tptp.m1_relset_1 C B B) (tptp.m1_subset_1 D tptp.k5_numbers)) (= (tptp.k1_waybel_6 A B C D) (tptp.k9_funct_7 C D)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.k1_zfmisc_1 _let_1))) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 A) (not (tptp.v1_xboole_0 B)) (tptp.m1_subset_1 B _let_2) (not (tptp.v1_xboole_0 C)) (tptp.m1_subset_1 C _let_2) (tptp.v1_funct_1 D) (tptp.v1_funct_2 D B C) (tptp.m1_relset_1 D B C) (tptp.m1_subset_1 E B)) (tptp.m1_subset_1 (tptp.k2_waybel_6 A B C D E) _let_1))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 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.v1_funct_1 D) (tptp.v1_funct_2 D B C) (tptp.m1_relset_1 D B C) (tptp.m1_subset_1 E B)) (= (tptp.k2_waybel_6 A B C D E) (tptp.k1_funct_1 D E))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (tptp.m1_subset_1 (tptp.k3_waybel_6 A) (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (tptp.m1_subset_1 (tptp.k4_waybel_6 A) (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v24_waybel_0 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (tptp.v13_waybel_0 B A) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (= (tptp.v1_waybel_6 B A) (= B (tptp.k3_tarski (tptp.a_2_0_waybel_6 A B)))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.v24_waybel_0 B) (tptp.v1_lattice3 B) (tptp.v2_lattice3 B) (tptp.l1_orders_2 B) (tptp.v13_waybel_0 C B) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B)))) (= (tptp.r2_hidden A (tptp.a_2_0_waybel_6 B C)) (exists ((D $$unsorted)) (and (tptp.m1_subset_1 D (tptp.u1_struct_0 B)) (= A (tptp.k2_waybel_3 B D)) (tptp.r2_hidden D C)))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k3_yellow_1 A))) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v1_orders_2 _let_1) (tptp.v2_orders_2 _let_1) (tptp.v3_orders_2 _let_1) (tptp.v4_orders_2 _let_1) (tptp.v1_yellow_0 _let_1) (tptp.v2_yellow_0 _let_1) (tptp.v3_yellow_0 _let_1) (tptp.v24_waybel_0 _let_1) (tptp.v25_waybel_0 _let_1) (not (tptp.v1_yellow_3 _let_1)) (tptp.v2_waybel_1 _let_1) (tptp.v9_waybel_1 _let_1) (tptp.v10_waybel_1 _let_1) (tptp.v11_waybel_1 _let_1) (tptp.v1_lattice3 _let_1) (tptp.v2_lattice3 _let_1) (tptp.v3_lattice3 _let_1)))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k3_yellow_1 A))) (=> (not (tptp.v1_xboole_0 A)) (and (not (tptp.v3_struct_0 _let_1)) (not (tptp.v3_realset2 _let_1)) (tptp.v1_orders_2 _let_1) (tptp.v2_orders_2 _let_1) (tptp.v3_orders_2 _let_1) (tptp.v4_orders_2 _let_1) (tptp.v1_yellow_0 _let_1) (tptp.v2_yellow_0 _let_1) (tptp.v3_yellow_0 _let_1) (tptp.v24_waybel_0 _let_1) (tptp.v25_waybel_0 _let_1) (not (tptp.v1_yellow_3 _let_1)) (tptp.v2_waybel_1 _let_1) (tptp.v9_waybel_1 _let_1) (tptp.v10_waybel_1 _let_1) (tptp.v11_waybel_1 _let_1) (tptp.v1_lattice3 _let_1) (tptp.v2_lattice3 _let_1) (tptp.v3_lattice3 _let_1))))) (exists ((A $$unsorted)) (and (tptp.l1_orders_2 A) (not (tptp.v3_struct_0 A)) (not (tptp.v3_realset2 A)) (tptp.v1_orders_2 A) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_yellow_0 A) (tptp.v2_yellow_0 A) (tptp.v3_yellow_0 A) (not (tptp.v1_yellow_3 A)) (tptp.v2_waybel_1 A) (tptp.v9_waybel_1 A) (tptp.v10_waybel_1 A) (tptp.v11_waybel_1 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A))) (forall ((A $$unsorted)) (exists ((B $$unsorted)) (and (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 A))) (not (tptp.v1_xboole_0 B)) (tptp.v1_finset_1 B)))) (forall ((A $$unsorted)) (=> (tptp.l1_struct_0 A) (exists ((B $$unsorted)) (and (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (not (tptp.v1_xboole_0 B)) (tptp.v1_finset_1 B))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (not (tptp.v3_realset2 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v2_yellow_0 A) (tptp.l1_orders_2 A)) (exists ((B $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (and (tptp.m1_subset_1 B _let_1) (not (tptp.v1_xboole_0 B)) (tptp.v1_tex_2 B _let_1) (tptp.v2_waybel_0 B A) (tptp.v13_waybel_0 B A)))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 A)) (exists ((B $$unsorted)) (and (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (not (tptp.v1_xboole_0 B)) (tptp.v1_waybel_0 B A) (tptp.v12_waybel_0 B A) (tptp.v1_waybel_7 B A))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 A)) (exists ((B $$unsorted)) (and (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (not (tptp.v1_xboole_0 B)) (tptp.v2_waybel_0 B A) (tptp.v13_waybel_0 B A) (tptp.v2_waybel_7 B A))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.v13_waybel_0 B A))) (let ((_let_2 (tptp.v2_waybel_0 B A))) (let ((_let_3 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (let ((_let_4 (not (tptp.v1_xboole_0 B)))) (=> (tptp.m1_subset_1 B _let_3) (=> (and _let_4 _let_2 _let_1 (tptp.v3_waybel_7 B A)) (and _let_4 (tptp.v1_tex_2 B _let_3) _let_2 _let_1)))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (exists ((B $$unsorted)) (let ((_let_1 (tptp.k3_yellow_1 A))) (let ((_let_2 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 _let_1)))) (and (tptp.m1_subset_1 B _let_2) (not (tptp.v1_xboole_0 B)) (tptp.v1_tex_2 B _let_2) (tptp.v2_waybel_0 B _let_1) (tptp.v13_waybel_0 B _let_1) (tptp.v3_waybel_7 B _let_1))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_yellow_0 A) (tptp.v1_lattice3 A) (tptp.l1_orders_2 A) (tptp.v5_waybel_4 B A) (tptp.m1_relset_1 B _let_1 _let_1) (tptp.m1_subset_1 C _let_1)) (tptp.v13_waybel_0 (tptp.k6_waybel_4 A C B) A)))) true true (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted) (C $$unsorted)) (=> (tptp.r1_tarski B C) (and (tptp.r3_orders_2 A (tptp.k1_yellow_0 A B) (tptp.k1_yellow_0 A C)) (tptp.r1_orders_2 A (tptp.k2_yellow_0 A C) (tptp.k2_yellow_0 A B))))))) (forall ((A $$unsorted)) (= (tptp.u1_struct_0 (tptp.k3_yellow_1 A)) (tptp.k1_zfmisc_1 A))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_orders_2 A) (tptp.v3_yellow_0 A) (tptp.l1_orders_2 A)) (= (tptp.v3_realset2 A) (= (tptp.k4_yellow_0 A) (tptp.k3_yellow_0 A))))) true true (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_yellow_0 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.v2_waybel_0 B A) (tptp.v13_waybel_0 B A) (tptp.m1_subset_1 B _let_1)) (= (tptp.v1_tex_2 B _let_1) (not (tptp.r2_hidden (tptp.k3_yellow_0 A) B)))))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k3_yellow_1 A))) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 _let_1)) (= (tptp.k7_waybel_1 _let_1 B) (tptp.k4_xboole_0 A B))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k3_yellow_1 A))) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 _let_1))) (= (tptp.v12_waybel_0 B _let_1) (forall ((C $$unsorted) (D $$unsorted)) (=> (and (tptp.r1_tarski C D) (tptp.r2_hidden D B)) (tptp.r2_hidden C B))))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k3_yellow_1 A))) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 _let_1))) (= (tptp.v13_waybel_0 B _let_1) (forall ((C $$unsorted) (D $$unsorted)) (=> (and (tptp.r1_tarski C D) (tptp.r1_tarski D A) (tptp.r2_hidden C B)) (tptp.r2_hidden D B))))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k3_yellow_1 A))) (=> (and (tptp.v12_waybel_0 B _let_1) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 _let_1)))) (= (tptp.v1_waybel_0 B _let_1) (forall ((C $$unsorted) (D $$unsorted)) (=> (and (tptp.r2_hidden C B) (tptp.r2_hidden D B)) (tptp.r2_hidden (tptp.k2_xboole_0 C D) B))))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k3_yellow_1 A))) (=> (and (tptp.v13_waybel_0 B _let_1) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 _let_1)))) (= (tptp.v2_waybel_0 B _let_1) (forall ((C $$unsorted) (D $$unsorted)) (=> (and (tptp.r2_hidden C B) (tptp.r2_hidden D B)) (tptp.r2_hidden (tptp.k3_xboole_0 C D) B))))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k3_yellow_1 A))) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.v12_waybel_0 B _let_1) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 _let_1)))) (= (tptp.v1_waybel_0 B _let_1) (forall ((C $$unsorted)) (=> (and (tptp.v1_finset_1 C) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 A)))) (=> (tptp.r1_tarski C B) (tptp.r2_hidden (tptp.k5_setfam_1 A C) B)))))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k3_yellow_1 A))) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.v13_waybel_0 B _let_1) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 _let_1)))) (= (tptp.v2_waybel_0 B _let_1) (forall ((C $$unsorted)) (=> (and (tptp.v1_finset_1 C) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 A)))) (=> (tptp.r1_tarski C B) (tptp.r2_hidden (tptp.k8_setfam_1 A C) B)))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.v1_waybel_0 B A) (tptp.v12_waybel_0 B A) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (= (tptp.v1_waybel_7 B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (not (and (tptp.r2_hidden (tptp.k12_lattice3 A C D) B) (not (tptp.r2_hidden C B)) (not (tptp.r2_hidden D B))))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.v1_waybel_0 B A) (tptp.v12_waybel_0 B A) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (= (tptp.v1_waybel_7 B A) (forall ((C $$unsorted)) (=> (and (not (tptp.v1_xboole_0 C)) (tptp.v1_finset_1 C) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (not (and (tptp.r2_hidden (tptp.k2_yellow_0 A C) B) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (not (and (tptp.r2_hidden D C) (tptp.r2_hidden D B)))))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.v1_lattice3 B) (tptp.v2_lattice3 B) (tptp.l1_orders_2 B)) (=> (= (tptp.g1_orders_2 (tptp.u1_struct_0 A) (tptp.u1_orders_2 A)) (tptp.g1_orders_2 (tptp.u1_struct_0 B) (tptp.u1_orders_2 B))) (forall ((C $$unsorted)) (let ((_let_1 (not (tptp.v1_xboole_0 C)))) (=> (and _let_1 (tptp.v1_waybel_0 C A) (tptp.v12_waybel_0 C A) (tptp.v1_waybel_7 C A) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (and _let_1 (tptp.v1_waybel_0 C B) (tptp.v12_waybel_0 C B) (tptp.v1_waybel_7 C B) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B)))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.v2_waybel_0 B A) (tptp.v13_waybel_0 B A) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (= (tptp.v2_waybel_7 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)) (not (and (tptp.r2_hidden (tptp.k13_lattice3 A C D) B) (not (tptp.r2_hidden C B)) (not (tptp.r2_hidden D B))))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.v2_waybel_0 B A) (tptp.v13_waybel_0 B A) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (= (tptp.v2_waybel_7 B A) (forall ((C $$unsorted)) (=> (and (not (tptp.v1_xboole_0 C)) (tptp.v1_finset_1 C) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (not (and (tptp.r2_hidden (tptp.k1_yellow_0 A C) B) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (not (and (tptp.r2_hidden D C) (tptp.r2_hidden D B)))))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.v1_lattice3 B) (tptp.v2_lattice3 B) (tptp.l1_orders_2 B)) (=> (= (tptp.g1_orders_2 (tptp.u1_struct_0 A) (tptp.u1_orders_2 A)) (tptp.g1_orders_2 (tptp.u1_struct_0 B) (tptp.u1_orders_2 B))) (forall ((C $$unsorted)) (let ((_let_1 (not (tptp.v1_xboole_0 C)))) (=> (and _let_1 (tptp.v2_waybel_0 C A) (tptp.v13_waybel_0 C A) (tptp.v2_waybel_7 C A) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (and _let_1 (tptp.v2_waybel_0 C B) (tptp.v13_waybel_0 C B) (tptp.v2_waybel_7 C B) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B)))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k7_lattice3 A))) (let ((_let_2 (not (tptp.v1_xboole_0 B)))) (= (and _let_2 (tptp.v1_waybel_0 B A) (tptp.v12_waybel_0 B A) (tptp.v1_waybel_7 B A) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (and _let_2 (tptp.v2_waybel_0 B _let_1) (tptp.v13_waybel_0 B _let_1) (tptp.v2_waybel_7 B _let_1) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 _let_1)))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k7_lattice3 A))) (let ((_let_2 (not (tptp.v1_xboole_0 B)))) (= (and _let_2 (tptp.v2_waybel_0 B A) (tptp.v13_waybel_0 B A) (tptp.v2_waybel_7 B A) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (and _let_2 (tptp.v1_waybel_0 B _let_1) (tptp.v12_waybel_0 B _let_1) (tptp.v1_waybel_7 B _let_1) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 _let_1)))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.k3_subset_1 _let_1 B))) (let ((_let_3 (tptp.k1_zfmisc_1 _let_1))) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.v1_waybel_0 B A) (tptp.v12_waybel_0 B A) (tptp.m1_subset_1 B _let_3)) (= (tptp.v1_waybel_7 B A) (or (and (not (tptp.v1_xboole_0 _let_2)) (tptp.v2_waybel_0 _let_2 A) (tptp.v13_waybel_0 _let_2 A) (tptp.m1_subset_1 _let_2 _let_3)) (= _let_2 tptp.k1_xboole_0)))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.v1_waybel_0 B A) (tptp.v12_waybel_0 B A) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (= (tptp.v1_waybel_7 B A) (tptp.r2_hidden B (tptp.k4_waybel_6 (tptp.k2_yellow_1 (tptp.k8_waybel_0 A))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v11_waybel_1 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.v2_waybel_0 B A) (tptp.v13_waybel_0 B A) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (= (tptp.v2_waybel_7 B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (or (tptp.r2_hidden C B) (tptp.r2_hidden (tptp.k7_waybel_1 A C) B))))))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k3_yellow_1 A))) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.v2_waybel_0 B _let_1) (tptp.v13_waybel_0 B _let_1) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 _let_1)))) (= (tptp.v2_waybel_7 B _let_1) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 A)) (or (tptp.r2_hidden C B) (tptp.r2_hidden (tptp.k4_xboole_0 A C) B)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.v2_waybel_0 B A) (tptp.v13_waybel_0 B A) (tptp.m1_subset_1 B _let_1)) (= (tptp.v3_waybel_7 B A) (and (tptp.v1_tex_2 B _let_1) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v1_xboole_0 C)) (tptp.v2_waybel_0 C A) (tptp.v13_waybel_0 C A) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 _let_1))) (not (and (tptp.r1_tarski B C) (not (= B C)) (not (= C _let_1)))))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v11_waybel_1 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.v2_waybel_0 B A) (tptp.v13_waybel_0 B A) (tptp.m1_subset_1 B _let_1)) (= (and (tptp.v1_tex_2 B _let_1) (tptp.v2_waybel_7 B A)) (tptp.v3_waybel_7 B A))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v2_waybel_1 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.v1_waybel_0 B A) (tptp.v12_waybel_0 B A) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (forall ((C $$unsorted)) (=> (and (not (tptp.v1_xboole_0 C)) (tptp.v2_waybel_0 C A) (tptp.v13_waybel_0 C A) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (not (and (tptp.r1_subset_1 B C) (forall ((D $$unsorted)) (=> (and (not (tptp.v1_xboole_0 D)) (tptp.v1_waybel_0 D A) (tptp.v12_waybel_0 D A) (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (not (and (tptp.v1_waybel_7 D A) (tptp.r1_tarski B D) (tptp.r1_subset_1 D C))))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v2_waybel_1 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.v1_waybel_0 B A) (tptp.v12_waybel_0 B A) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (not (and (not (tptp.r2_hidden C B)) (forall ((D $$unsorted)) (=> (and (not (tptp.v1_xboole_0 D)) (tptp.v1_waybel_0 D A) (tptp.v12_waybel_0 D A) (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (not (and (tptp.v1_waybel_7 D A) (tptp.r1_tarski B D) (not (tptp.r2_hidden C D)))))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v2_waybel_1 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.v1_waybel_0 B A) (tptp.v12_waybel_0 B A) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (forall ((C $$unsorted)) (=> (and (not (tptp.v1_xboole_0 C)) (tptp.v2_waybel_0 C A) (tptp.v13_waybel_0 C A) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (not (and (tptp.r1_subset_1 B C) (forall ((D $$unsorted)) (=> (and (not (tptp.v1_xboole_0 D)) (tptp.v2_waybel_0 D A) (tptp.v13_waybel_0 D A) (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (not (and (tptp.v2_waybel_7 D A) (tptp.r1_tarski C D) (tptp.r1_subset_1 B D))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_realset2 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v11_waybel_1 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.v1_tex_2 B _let_1) (tptp.v2_waybel_0 B A) (tptp.v13_waybel_0 B A) (tptp.m1_subset_1 B _let_1)) (exists ((C $$unsorted)) (and (not (tptp.v1_xboole_0 C)) (tptp.v2_waybel_0 C A) (tptp.v13_waybel_0 C A) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (tptp.r1_tarski B C) (tptp.v3_waybel_7 C A)))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted) (C $$unsorted)) (= (tptp.r1_waybel_7 A B C) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (and (tptp.v3_pre_topc D A) (tptp.r2_hidden C D)) (forall ((E $$unsorted)) (not (and (tptp.r2_hidden E B) (tptp.r1_xboole_0 D E))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted) (C $$unsorted)) (= (tptp.r2_waybel_7 A B C) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (and (tptp.v3_pre_topc D A) (tptp.r2_hidden C D)) (tptp.r2_hidden D 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.k3_yellow_1 (tptp.u1_struct_0 A)))) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.v2_waybel_0 B _let_1) (tptp.v13_waybel_0 B _let_1) (tptp.v3_waybel_7 B _let_1) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 _let_1)))) (forall ((C $$unsorted)) (= (tptp.r1_waybel_7 A B C) (tptp.r2_waybel_7 A B C)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 (tptp.k2_yellow_1 (tptp.u1_pre_topc A)))) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k2_yellow_1 (tptp.u1_pre_topc A)))) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 _let_1)) (=> (tptp.r1_waybel_3 _let_1 B C) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k3_yellow_1 (tptp.u1_struct_0 A)))) (let ((_let_2 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 _let_1)))) (=> (and (not (tptp.v1_xboole_0 D)) (tptp.v1_tex_2 D _let_2) (tptp.v2_waybel_0 D _let_1) (tptp.v13_waybel_0 D _let_1) (tptp.m1_subset_1 D _let_2)) (not (and (tptp.r2_hidden B D) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.u1_struct_0 A)) (not (and (tptp.r2_hidden E C) (tptp.r1_waybel_7 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.k2_yellow_1 (tptp.u1_pre_topc A)))) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k2_yellow_1 (tptp.u1_pre_topc A)))) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 _let_1)) (=> (tptp.r1_waybel_3 _let_1 B C) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k3_yellow_1 (tptp.u1_struct_0 A)))) (=> (and (not (tptp.v1_xboole_0 D)) (tptp.v2_waybel_0 D _let_1) (tptp.v13_waybel_0 D _let_1) (tptp.v3_waybel_7 D _let_1) (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 _let_1)))) (not (and (tptp.r2_hidden B D) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.u1_struct_0 A)) (not (and (tptp.r2_hidden E C) (tptp.r2_waybel_7 A D E)))))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 (tptp.k2_yellow_1 (tptp.u1_pre_topc A)))) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k2_yellow_1 (tptp.u1_pre_topc A)))) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 _let_1)) (=> (and (tptp.r1_tarski B C) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k3_yellow_1 (tptp.u1_struct_0 A)))) (=> (and (not (tptp.v1_xboole_0 D)) (tptp.v2_waybel_0 D _let_1) (tptp.v13_waybel_0 D _let_1) (tptp.v3_waybel_7 D _let_1) (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 _let_1)))) (not (and (tptp.r2_hidden B D) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.u1_struct_0 A)) (not (and (tptp.r2_hidden E C) (tptp.r2_waybel_7 A D E))))))))))) (tptp.r1_waybel_3 _let_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)) (=> (tptp.m2_cantor_1 B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 (tptp.k2_yellow_1 (tptp.u1_pre_topc A)))) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k2_yellow_1 (tptp.u1_pre_topc A)))) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 _let_1)) (=> (tptp.r1_tarski C D) (= (tptp.r1_waybel_3 _let_1 C D) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.k1_zfmisc_1 B)) (not (and (tptp.r1_tarski D (tptp.k3_tarski E)) (forall ((F $$unsorted)) (=> (and (tptp.v1_finset_1 F) (tptp.m1_subset_1 F (tptp.k1_zfmisc_1 E))) (not (tptp.r1_tarski C (tptp.k3_tarski F)))))))))))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v2_waybel_1 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (tptp.r1_waybel_3 A B C) (forall ((D $$unsorted)) (=> (and (not (tptp.v1_xboole_0 D)) (tptp.v1_waybel_0 D A) (tptp.v12_waybel_0 D A) (tptp.v1_waybel_7 D A) (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (=> (tptp.r3_orders_2 A C (tptp.k1_yellow_0 A D)) (tptp.r2_hidden B D))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (=> (tptp.v5_waybel_6 B A) (tptp.v1_waybel_7 (tptp.k6_waybel_0 A B) A)))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (= (tptp.v4_waybel_7 B A) (exists ((C $$unsorted)) (and (not (tptp.v1_xboole_0 C)) (tptp.v1_waybel_0 C A) (tptp.v12_waybel_0 C A) (tptp.v1_waybel_7 C A) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= B (tptp.k1_yellow_0 A C))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (=> (tptp.v5_waybel_6 B A) (tptp.v4_waybel_7 B A)))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_waybel_3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (=> (tptp.v4_waybel_7 B A) (forall ((C $$unsorted)) (=> (and (not (tptp.v1_xboole_0 C)) (tptp.v1_finset_1 C) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (not (and (tptp.r1_waybel_3 A (tptp.k2_yellow_0 A C) B) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (not (and (tptp.r2_hidden D C) (tptp.r3_orders_2 A D B)))))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_waybel_3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.k4_yellow_0 A))) (=> (tptp.m1_subset_1 B _let_1) (=> (forall ((C $$unsorted)) (=> (and (not (tptp.v1_xboole_0 C)) (tptp.v1_finset_1 C) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (not (and (tptp.r1_waybel_3 A (tptp.k2_yellow_0 A C) B) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (not (and (tptp.r2_hidden D C) (tptp.r3_orders_2 A D B))))))))) (or (and (= B _let_2) (tptp.v1_waybel_3 _let_2 A)) (tptp.r1_subset_1 (tptp.k5_waybel_0 A (tptp.k13_waybel_0 A (tptp.k3_subset_1 _let_1 (tptp.k6_waybel_0 A B)))) (tptp.k1_waybel_3 A B)))))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k4_yellow_0 A))) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_waybel_3 A) (tptp.l1_orders_2 A)) (=> (tptp.v1_waybel_3 _let_1 A) (and (forall ((B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.v1_finset_1 B) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (not (and (tptp.r1_waybel_3 A (tptp.k2_yellow_0 A B) (tptp.k4_yellow_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (not (and (tptp.r2_hidden C B) (tptp.r3_orders_2 A C (tptp.k4_yellow_0 A)))))))))) (not (tptp.r2_subset_1 (tptp.k5_waybel_0 A (tptp.k13_waybel_0 A (tptp.k3_subset_1 (tptp.u1_struct_0 A) (tptp.k6_waybel_0 A _let_1)))) (tptp.k1_waybel_3 A _let_1)))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_waybel_3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 B _let_1) (=> (tptp.r1_subset_1 (tptp.k5_waybel_0 A (tptp.k13_waybel_0 A (tptp.k3_subset_1 _let_1 (tptp.k6_waybel_0 A B)))) (tptp.k1_waybel_3 A B)) (forall ((C $$unsorted)) (=> (and (not (tptp.v1_xboole_0 C)) (tptp.v1_finset_1 C) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (not (and (tptp.r1_waybel_3 A (tptp.k2_yellow_0 A C) B) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (not (and (tptp.r2_hidden D C) (tptp.r3_orders_2 A D B))))))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v2_waybel_1 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_waybel_3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 B _let_1) (=> (tptp.r1_subset_1 (tptp.k5_waybel_0 A (tptp.k13_waybel_0 A (tptp.k3_subset_1 _let_1 (tptp.k6_waybel_0 A B)))) (tptp.k1_waybel_3 A B)) (tptp.v4_waybel_7 B A))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m2_relset_1 B _let_1 _let_1) (= (tptp.v5_waybel_7 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 $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.u1_struct_0 A)) (=> (and (tptp.r2_hidden (tptp.k7_yellow_3 A A C D) B) (tptp.r2_hidden (tptp.k7_yellow_3 A A C E) B)) (tptp.r2_hidden (tptp.k7_yellow_3 A A C (tptp.k11_lattice3 A D E)) B)))))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_yellow_0 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (tptp.v5_waybel_4 B A) (tptp.m2_relset_1 B _let_1 _let_1)) (= (tptp.v5_waybel_7 B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (tptp.v2_waybel_0 (tptp.k6_waybel_4 A C B) A))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_yellow_0 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (tptp.v5_waybel_4 B A) (tptp.m2_relset_1 B _let_1 _let_1)) (= (tptp.v5_waybel_7 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.k7_yellow_3 A A C E) B) (tptp.r2_hidden (tptp.k7_yellow_3 A A D F) B)) (tptp.r2_hidden (tptp.k7_yellow_3 A A (tptp.k12_lattice3 A C D) (tptp.k12_lattice3 A E F)) B)))))))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_yellow_0 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (tptp.v5_waybel_4 B A) (tptp.m2_relset_1 B _let_1 _let_1)) (= (tptp.v5_waybel_7 B A) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k3_yellow_3 A A))) (=> (and (tptp.v4_yellow_0 C _let_1) (tptp.m1_yellow_0 C _let_1)) (=> (= (tptp.u1_struct_0 C) B) (tptp.v5_yellow_0 C _let_1))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_yellow_0 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (tptp.v5_waybel_4 B A) (tptp.m2_relset_1 B _let_1 _let_1)) (= (tptp.v5_waybel_7 B A) (tptp.v19_waybel_0 (tptp.k7_waybel_4 A B) A (tptp.k2_yellow_1 (tptp.k8_waybel_0 A))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_yellow_0 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_waybel_3 A) (tptp.l1_orders_2 A)) (=> (tptp.v5_waybel_7 (tptp.k1_waybel_4 A) A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (= (tptp.v4_waybel_7 B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (not (and (tptp.r1_waybel_3 A (tptp.k12_lattice3 A C D) B) (not (tptp.r3_orders_2 A C B)) (not (tptp.r3_orders_2 A D B)))))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_yellow_0 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_waybel_3 A) (tptp.l1_orders_2 A)) (=> (tptp.v5_waybel_7 (tptp.k1_waybel_4 A) A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (=> (tptp.v4_waybel_7 B A) (tptp.v5_waybel_6 B A))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_yellow_0 A) (tptp.v2_waybel_1 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_waybel_3 A) (tptp.l1_orders_2 A)) (=> (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (=> (tptp.v4_waybel_7 B A) (tptp.v5_waybel_6 B A)))) (tptp.v5_waybel_7 (tptp.k1_waybel_4 A) A)))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k1_waybel_8 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_yellow_0 A) (tptp.l1_orders_2 A)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v1_orders_2 _let_1) (tptp.v2_orders_2 _let_1) (tptp.v4_orders_2 _let_1) (tptp.v4_yellow_0 _let_1 A))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_yellow_0 A) (tptp.l1_orders_2 A) (tptp.m1_subset_1 B (tptp.u1_struct_0 A))) (not (tptp.v1_xboole_0 (tptp.k2_waybel_8 A B))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.v2_lattice3 A))) (let ((_let_2 (tptp.v1_lattice3 A))) (let ((_let_3 (tptp.v4_orders_2 A))) (let ((_let_4 (tptp.v3_orders_2 A))) (let ((_let_5 (tptp.v2_orders_2 A))) (=> (tptp.l1_orders_2 A) (=> (and _let_5 _let_4 _let_3 _let_2 _let_1 (tptp.v2_waybel_8 A)) (and (not (tptp.v3_struct_0 A)) _let_5 _let_4 _let_3 _let_2 _let_1 (tptp.v2_yellow_0 A) (tptp.v24_waybel_0 A) (tptp.v2_waybel_3 A) (tptp.v3_waybel_3 A)))))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.v2_orders_2 A))) (let ((_let_2 (not (tptp.v3_struct_0 A)))) (=> (tptp.l1_orders_2 A) (=> (and _let_2 _let_1 (tptp.v2_waybel_8 A)) (and _let_2 _let_1 (tptp.v24_waybel_0 A) (tptp.v1_waybel_8 A))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k1_waybel_8 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.l1_orders_2 A)) (and (tptp.v1_orders_2 _let_1) (tptp.v2_orders_2 _let_1) (tptp.v3_orders_2 _let_1) (tptp.v4_orders_2 _let_1) (tptp.v4_yellow_0 _let_1 A) (tptp.v6_yellow_0 _let_1 A))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.v2_lattice3 A))) (let ((_let_2 (tptp.v1_lattice3 A))) (let ((_let_3 (tptp.v4_orders_2 A))) (let ((_let_4 (tptp.v3_orders_2 A))) (let ((_let_5 (tptp.v2_orders_2 A))) (=> (tptp.l1_orders_2 A) (=> (and _let_5 _let_4 _let_3 _let_2 _let_1 (tptp.v3_waybel_8 A)) (and (not (tptp.v3_struct_0 A)) _let_5 _let_4 _let_3 _let_2 _let_1 (tptp.v2_yellow_0 A) (tptp.v24_waybel_0 A) (tptp.v2_waybel_3 A) (tptp.v3_waybel_3 A) (tptp.v1_waybel_8 A) (tptp.v2_waybel_8 A)))))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.v2_lattice3 A))) (let ((_let_2 (tptp.v1_lattice3 A))) (let ((_let_3 (tptp.v4_orders_2 A))) (let ((_let_4 (tptp.v3_orders_2 A))) (let ((_let_5 (tptp.v2_orders_2 A))) (=> (tptp.l1_orders_2 A) (=> (and _let_5 _let_4 _let_3 _let_2 _let_1 (tptp.v3_realset2 A)) (and (not (tptp.v3_struct_0 A)) _let_5 _let_4 _let_3 _let_2 _let_1 (tptp.v2_yellow_0 A) (tptp.v24_waybel_0 A) (tptp.v2_waybel_3 A) (tptp.v3_waybel_3 A) (tptp.v1_waybel_8 A) (tptp.v2_waybel_8 A) (tptp.v3_waybel_8 A)))))))))) (exists ((A $$unsorted)) (and (tptp.l1_orders_2 A) (not (tptp.v3_struct_0 A)) (tptp.v1_orders_2 A) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_lattice3 A) (tptp.v1_yellow_0 A) (tptp.v2_yellow_0 A) (tptp.v3_yellow_0 A) (tptp.v16_waybel_0 A) (tptp.v24_waybel_0 A) (tptp.v25_waybel_0 A) (not (tptp.v1_yellow_3 A)) (tptp.v2_waybel_1 A) (tptp.v9_waybel_1 A) (tptp.v10_waybel_1 A) (tptp.v11_waybel_1 A) (tptp.v2_waybel_3 A) (tptp.v3_waybel_3 A) (tptp.v3_realset2 A) (tptp.v1_waybel_8 A) (tptp.v2_waybel_8 A) (tptp.v3_waybel_8 A))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.g1_orders_2 (tptp.u1_struct_0 A) (tptp.u1_orders_2 A)))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v1_orders_2 _let_1))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.g1_orders_2 (tptp.u1_struct_0 A) (tptp.u1_orders_2 A)))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.l1_orders_2 A)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v1_orders_2 _let_1) (tptp.v2_orders_2 _let_1))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.g1_orders_2 (tptp.u1_struct_0 A) (tptp.u1_orders_2 A)))) (=> (and (tptp.v3_orders_2 A) (tptp.l1_orders_2 A)) (and (tptp.v1_orders_2 _let_1) (tptp.v3_orders_2 _let_1))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.g1_orders_2 (tptp.u1_struct_0 A) (tptp.u1_orders_2 A)))) (=> (and (tptp.v4_orders_2 A) (tptp.l1_orders_2 A)) (and (tptp.v1_orders_2 _let_1) (tptp.v4_orders_2 _let_1))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.g1_orders_2 (tptp.u1_struct_0 A) (tptp.u1_orders_2 A)))) (=> (and (tptp.v2_lattice3 A) (tptp.l1_orders_2 A)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v1_orders_2 _let_1) (tptp.v2_lattice3 _let_1))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.g1_orders_2 (tptp.u1_struct_0 A) (tptp.u1_orders_2 A)))) (=> (and (tptp.v1_lattice3 A) (tptp.l1_orders_2 A)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v1_orders_2 _let_1) (tptp.v1_lattice3 _let_1))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.g1_orders_2 (tptp.u1_struct_0 A) (tptp.u1_orders_2 A)))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v24_waybel_0 A) (tptp.l1_orders_2 A)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v1_orders_2 _let_1) (tptp.v2_orders_2 _let_1) (tptp.v24_waybel_0 _let_1))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.g1_orders_2 (tptp.u1_struct_0 A) (tptp.u1_orders_2 A)))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v4_orders_2 A) (tptp.v2_waybel_8 A) (tptp.l1_orders_2 A)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v1_orders_2 _let_1) (tptp.v2_orders_2 _let_1) (tptp.v4_orders_2 _let_1) (tptp.v24_waybel_0 _let_1) (tptp.v1_waybel_8 _let_1) (tptp.v2_waybel_8 _let_1))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.g1_orders_2 (tptp.u1_struct_0 A) (tptp.u1_orders_2 A)))) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_waybel_8 A) (tptp.l1_orders_2 A)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v1_orders_2 _let_1) (tptp.v2_orders_2 _let_1) (tptp.v3_orders_2 _let_1) (tptp.v4_orders_2 _let_1) (tptp.v1_lattice3 _let_1) (tptp.v2_lattice3 _let_1) (tptp.v2_yellow_0 _let_1) (tptp.v24_waybel_0 _let_1) (tptp.v2_waybel_3 _let_1) (tptp.v3_waybel_3 _let_1) (tptp.v1_waybel_8 _let_1) (tptp.v2_waybel_8 _let_1) (tptp.v3_waybel_8 _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v2_waybel_8 A) (tptp.l1_orders_2 A) (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_1 _let_1) (tptp.v7_waybel_1 B A) (tptp.m1_relset_1 B _let_1 _let_1)) (exists ((C $$unsorted)) (let ((_let_1 (tptp.k2_yellow_2 A A B))) (and (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 _let_1))) (not (tptp.v1_xboole_0 C)) (tptp.v1_waybel_0 C _let_1))))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k3_yellow_1 A))) (let ((_let_2 (tptp.k2_waybel_8 _let_1 B))) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 _let_1)) (and (not (tptp.v1_xboole_0 _let_2)) (tptp.v1_waybel_0 _let_2 _let_1) (tptp.v12_waybel_0 _let_2 _let_1)))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k3_yellow_1 A))) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v1_orders_2 _let_1) (tptp.v2_orders_2 _let_1) (tptp.v3_orders_2 _let_1) (tptp.v4_orders_2 _let_1) (tptp.v1_lattice3 _let_1) (tptp.v2_lattice3 _let_1) (tptp.v3_lattice3 _let_1) (tptp.v1_yellow_0 _let_1) (tptp.v2_yellow_0 _let_1) (tptp.v3_yellow_0 _let_1) (tptp.v24_waybel_0 _let_1) (tptp.v25_waybel_0 _let_1) (tptp.v2_waybel_1 _let_1) (tptp.v9_waybel_1 _let_1) (tptp.v10_waybel_1 _let_1) (tptp.v11_waybel_1 _let_1) (tptp.v2_waybel_3 _let_1) (tptp.v3_waybel_3 _let_1) (tptp.v1_waybel_8 _let_1) (tptp.v2_waybel_8 _let_1)))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_orders_2 B) (tptp.v4_yellow_0 B A) (tptp.m1_yellow_0 B A)) (= (= B (tptp.k1_waybel_8 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (tptp.r2_hidden C (tptp.u1_struct_0 B)) (tptp.v1_waybel_3 C A))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$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_orders_2 A B D) (tptp.r3_orders_2 A D C) (tptp.r2_hidden D (tptp.u1_struct_0 (tptp.k1_waybel_8 A)))) (tptp.r1_waybel_3 A B C)))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.k7_waybel_0 A B))) (=> (tptp.m1_subset_1 B _let_1) (= (and (not (tptp.v1_xboole_0 _let_2)) (tptp.v2_waybel_0 _let_2 A) (tptp.v13_waybel_0 _let_2 A) (tptp.v1_waybel_6 _let_2 A) (tptp.m1_subset_1 _let_2 (tptp.k1_zfmisc_1 _let_1))) (tptp.v1_waybel_3 B A)))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k1_waybel_8 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v1_yellow_0 A) (tptp.l1_orders_2 A)) (and (tptp.v6_yellow_0 _let_1 A) (tptp.r2_hidden (tptp.k3_yellow_0 A) (tptp.u1_struct_0 _let_1)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.l1_orders_2 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 C (tptp.k2_waybel_8 A B)) (and (tptp.r1_orders_2 A C B) (tptp.v1_waybel_3 C A))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (= (tptp.k2_waybel_8 A B) (tptp.k3_xboole_0 (tptp.k6_waybel_0 A B) (tptp.u1_struct_0 (tptp.k1_waybel_8 A)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (tptp.r1_tarski (tptp.k2_waybel_8 A B) (tptp.k1_waybel_3 A B)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.l1_orders_2 A)) (= (tptp.v1_waybel_8 A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (= B (tptp.k1_yellow_0 A (tptp.k2_waybel_8 A B)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.l1_orders_2 A)) (= (tptp.v2_waybel_8 A) (and (forall ((B $$unsorted)) (let ((_let_1 (tptp.k2_waybel_8 A B))) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (and (not (tptp.v1_xboole_0 _let_1)) (tptp.v1_waybel_0 _let_1 A))))) (tptp.v24_waybel_0 A) (tptp.v1_waybel_8 A))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 A)) (= (tptp.v2_waybel_8 A) (and (tptp.v3_waybel_3 A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (not (and (tptp.r1_waybel_3 A B C) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (not (and (tptp.r2_hidden D (tptp.u1_struct_0 (tptp.k1_waybel_8 A))) (tptp.r3_orders_2 A B D) (tptp.r3_orders_2 A D C))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.l1_orders_2 A)) (= (tptp.v3_waybel_8 A) (and (tptp.v2_waybel_8 A) (tptp.v5_yellow_0 (tptp.k1_waybel_8 A) A))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v4_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_orders_2 B) (tptp.v4_orders_2 B) (tptp.l1_orders_2 B)) (=> (and (= (tptp.g1_orders_2 (tptp.u1_struct_0 A) (tptp.u1_orders_2 A)) (tptp.g1_orders_2 (tptp.u1_struct_0 B) (tptp.u1_orders_2 B))) (tptp.v24_waybel_0 A)) (forall ((C $$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 B)) (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F (tptp.u1_struct_0 B)) (=> (and (= C E) (= D F) (tptp.r1_waybel_3 A C D)) (tptp.r1_waybel_3 B E F))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v4_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_orders_2 B) (tptp.v4_orders_2 B) (tptp.l1_orders_2 B)) (=> (and (= (tptp.g1_orders_2 (tptp.u1_struct_0 A) (tptp.u1_orders_2 A)) (tptp.g1_orders_2 (tptp.u1_struct_0 B) (tptp.u1_orders_2 B))) (tptp.v24_waybel_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 B)) (=> (and (= C D) (tptp.v1_waybel_3 C A)) (tptp.v1_waybel_3 D B))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v4_orders_2 A) (tptp.v24_waybel_0 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_orders_2 B) (tptp.v4_orders_2 B) (tptp.v24_waybel_0 B) (tptp.l1_orders_2 B)) (=> (= (tptp.g1_orders_2 (tptp.u1_struct_0 A) (tptp.u1_orders_2 A)) (tptp.g1_orders_2 (tptp.u1_struct_0 B) (tptp.u1_orders_2 B))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 B)) (=> (= C D) (= (tptp.k2_waybel_8 A C) (tptp.k2_waybel_8 B D)))))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_orders_2 A) (forall ((B $$unsorted)) (=> (tptp.l1_orders_2 B) (not (and (= (tptp.g1_orders_2 (tptp.u1_struct_0 A) (tptp.u1_orders_2 A)) (tptp.g1_orders_2 (tptp.u1_struct_0 B) (tptp.u1_orders_2 B))) (not (tptp.v3_struct_0 A)) (tptp.v3_struct_0 B))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.l1_orders_2 B)) (=> (and (= (tptp.g1_orders_2 (tptp.u1_struct_0 A) (tptp.u1_orders_2 A)) (tptp.g1_orders_2 (tptp.u1_struct_0 B) (tptp.u1_orders_2 B))) (tptp.v2_orders_2 A)) (tptp.v2_orders_2 B)))))) (forall ((A $$unsorted)) (=> (tptp.l1_orders_2 A) (forall ((B $$unsorted)) (=> (tptp.l1_orders_2 B) (=> (and (= (tptp.g1_orders_2 (tptp.u1_struct_0 A) (tptp.u1_orders_2 A)) (tptp.g1_orders_2 (tptp.u1_struct_0 B) (tptp.u1_orders_2 B))) (tptp.v3_orders_2 A)) (tptp.v3_orders_2 B)))))) (forall ((A $$unsorted)) (=> (tptp.l1_orders_2 A) (forall ((B $$unsorted)) (=> (tptp.l1_orders_2 B) (=> (and (= (tptp.g1_orders_2 (tptp.u1_struct_0 A) (tptp.u1_orders_2 A)) (tptp.g1_orders_2 (tptp.u1_struct_0 B) (tptp.u1_orders_2 B))) (tptp.v4_orders_2 A)) (tptp.v4_orders_2 B)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_orders_2 B) (tptp.l1_orders_2 B)) (=> (and (= (tptp.g1_orders_2 (tptp.u1_struct_0 A) (tptp.u1_orders_2 A)) (tptp.g1_orders_2 (tptp.u1_struct_0 B) (tptp.u1_orders_2 B))) (tptp.v24_waybel_0 A)) (tptp.v24_waybel_0 B)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v4_orders_2 A) (tptp.v24_waybel_0 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_orders_2 B) (tptp.v4_orders_2 B) (tptp.v24_waybel_0 B) (tptp.l1_orders_2 B)) (=> (and (= (tptp.g1_orders_2 (tptp.u1_struct_0 A) (tptp.u1_orders_2 A)) (tptp.g1_orders_2 (tptp.u1_struct_0 B) (tptp.u1_orders_2 B))) (tptp.v1_waybel_8 A) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k2_waybel_8 A C))) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (and (not (tptp.v1_xboole_0 _let_1)) (tptp.v1_waybel_0 _let_1 A)))))) (tptp.v1_waybel_8 B)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v4_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_orders_2 B) (tptp.v4_orders_2 B) (tptp.l1_orders_2 B)) (=> (and (= (tptp.g1_orders_2 (tptp.u1_struct_0 A) (tptp.u1_orders_2 A)) (tptp.g1_orders_2 (tptp.u1_struct_0 B) (tptp.u1_orders_2 B))) (tptp.v2_waybel_8 A)) (tptp.v2_waybel_8 B)))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.v1_lattice3 B) (tptp.v2_lattice3 B) (tptp.l1_orders_2 B)) (=> (and (= (tptp.g1_orders_2 (tptp.u1_struct_0 A) (tptp.u1_orders_2 A)) (tptp.g1_orders_2 (tptp.u1_struct_0 B) (tptp.u1_orders_2 B))) (tptp.v3_waybel_8 A)) (tptp.v3_waybel_8 B)))))) true true (forall ((A $$unsorted)) (let ((_let_1 (tptp.k1_waybel_8 A))) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v2_waybel_8 A) (tptp.l1_orders_2 A)) (= (tptp.v3_waybel_8 A) (and (tptp.v2_orders_2 _let_1) (tptp.v3_orders_2 _let_1) (tptp.v4_orders_2 _let_1) (tptp.v1_lattice3 _let_1) (tptp.v2_lattice3 _let_1) (tptp.l1_orders_2 _let_1)))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v1_yellow_0 A) (tptp.v2_waybel_8 A) (tptp.l1_orders_2 A)) (= (tptp.v3_waybel_8 A) (tptp.v5_waybel_7 (tptp.k1_waybel_4 A) A)))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v1_yellow_0 A) (tptp.v3_waybel_8 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (=> (tptp.v4_waybel_7 B A) (tptp.v5_waybel_6 B A)))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v1_yellow_0 A) (tptp.v2_waybel_1 A) (tptp.v2_waybel_8 A) (tptp.l1_orders_2 A)) (=> (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (=> (tptp.v4_waybel_7 B A) (tptp.v5_waybel_6 B A)))) (tptp.v3_waybel_8 A)))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v2_waybel_8 A) (tptp.l1_orders_2 A)) (forall ((B $$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.v7_waybel_1 B A) (tptp.m2_relset_1 B _let_1 _let_1)) (=> (tptp.v22_waybel_0 B A A) (tptp.r1_tarski (tptp.k4_pre_topc A A B (tptp.k2_pre_topc (tptp.k1_waybel_8 A))) (tptp.k2_pre_topc (tptp.k1_waybel_8 (tptp.k2_yellow_2 A A B)))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v1_yellow_0 A) (tptp.v2_waybel_8 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k2_yellow_2 A A B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_2 _let_2) (tptp.v7_waybel_1 B A) (tptp.m2_relset_1 B _let_2 _let_2)) (=> (tptp.v22_waybel_0 B A A) (and (tptp.v2_orders_2 _let_1) (tptp.v3_orders_2 _let_1) (tptp.v4_orders_2 _let_1) (tptp.v1_lattice3 _let_1) (tptp.v2_lattice3 _let_1) (tptp.v2_waybel_8 _let_1) (tptp.l1_orders_2 _let_1))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v1_yellow_0 A) (tptp.v2_waybel_8 A) (tptp.l1_orders_2 A)) (forall ((B $$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.v7_waybel_1 B A) (tptp.m2_relset_1 B _let_1 _let_1)) (=> (tptp.v22_waybel_0 B A A) (= (tptp.k4_pre_topc A A B (tptp.k2_pre_topc (tptp.k1_waybel_8 A))) (tptp.k2_pre_topc (tptp.k1_waybel_8 (tptp.k2_yellow_2 A A B)))))))))) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.m1_subset_1 B (tptp.u1_struct_0 (tptp.k3_yellow_1 A))) (tptp.r1_tarski B A))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 (tptp.k3_yellow_1 A))) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k3_yellow_1 A))) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 _let_1)) (= (tptp.r1_waybel_3 _let_1 B C) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 A))) (not (and (tptp.r1_tarski C (tptp.k5_setfam_1 A D)) (forall ((E $$unsorted)) (=> (and (tptp.v1_finset_1 E) (tptp.m1_subset_1 E (tptp.k1_zfmisc_1 D))) (not (tptp.r1_tarski B (tptp.k3_tarski E))))))))))))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k3_yellow_1 A))) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 _let_1)) (= (tptp.v1_finset_1 B) (tptp.v1_waybel_3 B _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (= (tptp.r2_hidden B (tptp.u1_struct_0 (tptp.k1_waybel_8 (tptp.k3_yellow_1 A)))) (tptp.v1_finset_1 B)))) (forall ((A $$unsorted)) (tptp.v2_waybel_8 (tptp.k3_yellow_1 A))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k1_waybel_8 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.l1_orders_2 A)) (and (tptp.v1_orders_2 _let_1) (tptp.v4_yellow_0 _let_1 A) (tptp.m1_yellow_0 _let_1 A))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.l1_orders_2 A) (tptp.m1_subset_1 B _let_1)) (tptp.m1_subset_1 (tptp.k2_waybel_8 A B) (tptp.k1_zfmisc_1 _let_1))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (= (tptp.k2_waybel_8 A B) (tptp.a_2_0_waybel_8 A B)))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k3_yellow_1 A))) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 _let_1)) (= (tptp.k2_waybel_8 _let_1 B) (tptp.a_2_1_waybel_8 A B))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_orders_2 B) (tptp.l1_orders_2 B) (tptp.m1_subset_1 C (tptp.u1_struct_0 B))) (= (tptp.r2_hidden A (tptp.a_2_0_waybel_8 B C)) (exists ((D $$unsorted)) (and (tptp.m1_subset_1 D (tptp.u1_struct_0 B)) (= A D) (tptp.r1_orders_2 B D C) (tptp.v1_waybel_3 D B)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 (tptp.k3_yellow_1 B))) (= (tptp.r2_hidden A (tptp.a_2_1_waybel_8 B C)) (exists ((D $$unsorted)) (and (tptp.v1_finset_1 D) (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 C)) (= A D)))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.k7_grcat_1 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (and (not (tptp.v1_xboole_0 _let_2)) (tptp.v1_relat_1 _let_2) (tptp.v1_funct_1 _let_2) (tptp.v1_funct_2 _let_2 _let_1 _let_1) (tptp.v5_orders_3 _let_2 A A) (tptp.v1_partfun1 _let_2 _let_1 _let_1)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.g1_waybel_0 A B (tptp.k1_toler_1 (tptp.u1_orders_2 A) B) C))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.l1_orders_2 A) (not (tptp.v1_xboole_0 B)) (tptp.v1_waybel_0 B A) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 _let_2)) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C B _let_2) (tptp.m1_relset_1 C B _let_2)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v6_waybel_0 _let_1 A) (tptp.v7_waybel_0 _let_1)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.g1_waybel_0 A B (tptp.k1_toler_1 (tptp.u1_orders_2 A) B) C))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.l1_orders_2 A) (not (tptp.v1_xboole_0 B)) (tptp.v1_waybel_0 B A) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 _let_2)) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C B _let_2) (tptp.m1_relset_1 C B _let_2)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v3_orders_2 _let_1) (tptp.v6_waybel_0 _let_1 A) (tptp.v7_waybel_0 _let_1)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k3_waybel_2 A B C))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A) (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (not (tptp.v3_struct_0 C)) (tptp.v2_orders_2 C) (tptp.l1_waybel_0 C A)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v2_orders_2 _let_1) (tptp.v6_waybel_0 _let_1 A))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k3_waybel_2 A B C))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A) (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (not (tptp.v3_struct_0 C)) (tptp.v4_orders_2 C) (tptp.l1_waybel_0 C A)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v4_orders_2 _let_1) (tptp.v6_waybel_0 _let_1 A))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k3_waybel_2 A B C))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A) (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (not (tptp.v3_struct_0 C)) (tptp.v3_orders_2 C) (tptp.l1_waybel_0 C A)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v3_orders_2 _let_1) (tptp.v6_waybel_0 _let_1 A))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k2_waybel_2 A B C))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C B _let_2) (tptp.m1_relset_1 C B _let_2)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v3_orders_2 _let_1) (tptp.v7_waybel_0 _let_1)))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k3_waybel_9 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v6_waybel_0 _let_1 A))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k3_waybel_9 A))) (=> (and (tptp.v2_orders_2 A) (tptp.l1_orders_2 A)) (and (tptp.v2_orders_2 _let_1) (tptp.v6_waybel_0 _let_1 A))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k3_waybel_9 A))) (=> (and (tptp.v4_orders_2 A) (tptp.l1_orders_2 A)) (and (tptp.v4_orders_2 _let_1) (tptp.v6_waybel_0 _let_1 A))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k3_waybel_9 A))) (=> (and (tptp.v3_orders_2 A) (tptp.l1_orders_2 A)) (and (tptp.v3_orders_2 _let_1) (tptp.v6_waybel_0 _let_1 A))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k3_waybel_9 A))) (=> (and (tptp.v1_lattice3 A) (tptp.l1_orders_2 A)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v6_waybel_0 _let_1 A) (tptp.v7_waybel_0 _let_1))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k3_waybel_9 A))) (=> (and (tptp.v7_waybel_0 A) (tptp.l1_orders_2 A)) (and (tptp.v6_waybel_0 _let_1 A) (tptp.v7_waybel_0 _let_1))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k3_waybel_9 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v6_waybel_0 _let_1 A) (tptp.v8_waybel_0 _let_1 A) (tptp.v10_waybel_0 _let_1 A))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k4_waybel_9 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v6_waybel_0 _let_1 A))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k4_waybel_9 A))) (=> (and (tptp.v2_orders_2 A) (tptp.l1_orders_2 A)) (and (tptp.v2_orders_2 _let_1) (tptp.v6_waybel_0 _let_1 A))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k4_waybel_9 A))) (=> (and (tptp.v4_orders_2 A) (tptp.l1_orders_2 A)) (and (tptp.v4_orders_2 _let_1) (tptp.v6_waybel_0 _let_1 A))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k4_waybel_9 A))) (=> (and (tptp.v3_orders_2 A) (tptp.l1_orders_2 A)) (and (tptp.v3_orders_2 _let_1) (tptp.v6_waybel_0 _let_1 A))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k4_waybel_9 A))) (=> (and (tptp.v2_lattice3 A) (tptp.l1_orders_2 A)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v6_waybel_0 _let_1 A) (tptp.v7_waybel_0 _let_1))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k4_waybel_9 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v6_waybel_0 _let_1 A) (tptp.v9_waybel_0 _let_1 A) (tptp.v11_waybel_0 _let_1 A))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k5_waybel_9 A B C))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_struct_0 A) (not (tptp.v3_struct_0 B)) (tptp.v2_orders_2 B) (tptp.l1_waybel_0 B A) (tptp.m1_subset_1 C (tptp.u1_struct_0 B))) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v2_orders_2 _let_1) (tptp.v6_waybel_0 _let_1 A))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k5_waybel_9 A B C))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_struct_0 A) (not (tptp.v3_struct_0 B)) (tptp.v7_waybel_0 B) (tptp.l1_waybel_0 B A) (tptp.m1_subset_1 C (tptp.u1_struct_0 B))) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v6_waybel_0 _let_1 A))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k5_waybel_9 A B C))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_struct_0 A) (not (tptp.v3_struct_0 B)) (tptp.v2_orders_2 B) (tptp.v4_orders_2 B) (tptp.l1_waybel_0 B A) (tptp.m1_subset_1 C (tptp.u1_struct_0 B))) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v2_orders_2 _let_1) (tptp.v4_orders_2 _let_1) (tptp.v6_waybel_0 _let_1 A))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k5_waybel_9 A B C))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_struct_0 A) (not (tptp.v3_struct_0 B)) (tptp.v4_orders_2 B) (tptp.v7_waybel_0 B) (tptp.l1_waybel_0 B A) (tptp.m1_subset_1 C (tptp.u1_struct_0 B))) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v4_orders_2 _let_1) (tptp.v6_waybel_0 _let_1 A))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k5_waybel_9 A B C))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_struct_0 A) (not (tptp.v3_struct_0 B)) (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.l1_waybel_0 B A) (tptp.m1_subset_1 C (tptp.u1_struct_0 B))) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v2_orders_2 _let_1) (tptp.v3_orders_2 _let_1) (tptp.v6_waybel_0 _let_1 A))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k5_waybel_9 A B C))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_struct_0 A) (not (tptp.v3_struct_0 B)) (tptp.v3_orders_2 B) (tptp.v7_waybel_0 B) (tptp.l1_waybel_0 B A) (tptp.m1_subset_1 C (tptp.u1_struct_0 B))) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v3_orders_2 _let_1) (tptp.v6_waybel_0 _let_1 A) (tptp.v7_waybel_0 _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_struct_0 A) (not (tptp.v3_struct_0 B)) (tptp.v3_orders_2 B) (tptp.v7_waybel_0 B) (tptp.l1_waybel_0 B A)) (exists ((C $$unsorted)) (and (tptp.m2_yellow_6 C A B) (not (tptp.v3_struct_0 C)) (tptp.v3_orders_2 C) (tptp.v6_waybel_0 C A) (tptp.v7_waybel_0 C))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k7_waybel_9 A B C D))) (let ((_let_2 (tptp.u1_struct_0 B))) (let ((_let_3 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_struct_0 A) (tptp.l1_struct_0 B) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_3 _let_2) (tptp.m1_relset_1 C _let_3 _let_2) (not (tptp.v3_struct_0 D)) (tptp.l1_waybel_0 D A)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v6_waybel_0 _let_1 B))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k7_waybel_9 A B C D))) (let ((_let_2 (tptp.u1_struct_0 B))) (let ((_let_3 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_struct_0 A) (tptp.l1_struct_0 B) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_3 _let_2) (tptp.m1_relset_1 C _let_3 _let_2) (tptp.v2_orders_2 D) (tptp.l1_waybel_0 D A)) (and (tptp.v2_orders_2 _let_1) (tptp.v6_waybel_0 _let_1 B))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k7_waybel_9 A B C D))) (let ((_let_2 (tptp.u1_struct_0 B))) (let ((_let_3 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_struct_0 A) (tptp.l1_struct_0 B) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_3 _let_2) (tptp.m1_relset_1 C _let_3 _let_2) (tptp.v4_orders_2 D) (tptp.l1_waybel_0 D A)) (and (tptp.v4_orders_2 _let_1) (tptp.v6_waybel_0 _let_1 B))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k7_waybel_9 A B C D))) (let ((_let_2 (tptp.u1_struct_0 B))) (let ((_let_3 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_struct_0 A) (tptp.l1_struct_0 B) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_3 _let_2) (tptp.m1_relset_1 C _let_3 _let_2) (tptp.v3_orders_2 D) (tptp.l1_waybel_0 D A)) (and (tptp.v3_orders_2 _let_1) (tptp.v6_waybel_0 _let_1 B))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k7_waybel_9 A B C D))) (let ((_let_2 (tptp.u1_struct_0 B))) (let ((_let_3 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_struct_0 A) (tptp.l1_struct_0 B) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_3 _let_2) (tptp.m1_relset_1 C _let_3 _let_2) (tptp.v7_waybel_0 D) (tptp.l1_waybel_0 D A)) (and (tptp.v6_waybel_0 _let_1 B) (tptp.v7_waybel_0 _let_1))))))) (exists ((A $$unsorted)) (and (tptp.l1_waybel_9 A) (tptp.v1_waybel_9 A))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.g1_waybel_9 A B C))) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.m1_relset_1 B A A) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 A)))) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v1_waybel_9 _let_1))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k1_tarski A))) (let ((_let_2 (tptp.g1_waybel_9 _let_1 B C))) (=> (and (tptp.m1_relset_1 B _let_1 _let_1) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 _let_1)))) (and (not (tptp.v3_struct_0 _let_2)) (tptp.v3_realset2 _let_2) (tptp.v1_waybel_9 _let_2)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.g1_waybel_9 A B C))) (=> (and (tptp.v1_relat_2 B) (tptp.v4_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 (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 A)))) (and (tptp.v2_orders_2 _let_1) (tptp.v3_orders_2 _let_1) (tptp.v4_orders_2 _let_1) (tptp.v1_waybel_9 _let_1))))) (exists ((A $$unsorted)) (and (tptp.l1_waybel_9 A) (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_yellow_0 A) (tptp.v2_yellow_0 A) (tptp.v3_yellow_0 A) (tptp.v16_waybel_0 A) (tptp.v24_waybel_0 A) (tptp.v25_waybel_0 A) (not (tptp.v1_yellow_3 A)) (tptp.v1_waybel_2 A) (tptp.v2_waybel_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_lattice3 A) (tptp.v2_waybel_1 A) (tptp.v9_waybel_1 A) (tptp.v10_waybel_1 A) (tptp.v1_tdlat_3 A) (tptp.v3_tdlat_3 A) (tptp.v4_tdlat_3 A) (tptp.v5_tdlat_3 A) (tptp.v2_waybel_3 A) (tptp.v3_waybel_3 A) (tptp.v6_group_1 A) (tptp.v3_realset2 A) (tptp.v1_waybel_9 A))) (exists ((A $$unsorted)) (and (tptp.l1_waybel_9 A) (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_yellow_0 A) (tptp.v2_yellow_0 A) (tptp.v3_yellow_0 A) (tptp.v16_waybel_0 A) (tptp.v24_waybel_0 A) (tptp.v25_waybel_0 A) (not (tptp.v1_yellow_3 A)) (tptp.v1_waybel_2 A) (tptp.v2_waybel_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_lattice3 A) (tptp.v2_waybel_1 A) (tptp.v9_waybel_1 A) (tptp.v10_waybel_1 A) (tptp.v2_compts_1 A) (tptp.v3_compts_1 A) (tptp.v4_compts_1 A) (tptp.v5_compts_1 A) (tptp.v1_tdlat_3 A) (tptp.v3_tdlat_3 A) (tptp.v4_tdlat_3 A) (tptp.v5_tdlat_3 A) (tptp.v2_waybel_3 A) (tptp.v3_waybel_3 A) (tptp.v6_waybel_3 A) (tptp.v6_group_1 A) (tptp.v3_realset2 A) (tptp.v1_waybel_9 A))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.v3_compts_1 A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (let ((_let_1 (not (tptp.v3_struct_0 B)))) (=> (tptp.m1_pre_topc B A) (=> _let_1 (and _let_1 (tptp.v2_pre_topc B) (tptp.v3_compts_1 B)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.l1_orders_2 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.m2_relset_1 C _let_2 _let_1)) (= (tptp.v5_waybel_0 C A B) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (forall ((E $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 E _let_1) (=> (tptp.r1_orders_2 A D E) (tptp.r1_orders_2 B (tptp.k3_yellow_6 _let_1 B C E) (tptp.k3_yellow_6 _let_1 B C D))))))))))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_orders_2 A) (forall ((B $$unsorted)) (=> (tptp.l1_orders_2 B) (forall ((C $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.l1_orders_2 C)) (forall ((D $$unsorted)) (=> (and (not (tptp.v3_struct_0 D)) (tptp.l1_orders_2 D)) (forall ((E $$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.m2_relset_1 E _let_2 _let_1)) (forall ((F $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 D))) (let ((_let_2 (tptp.u1_struct_0 C))) (=> (and (tptp.v1_funct_1 F) (tptp.v1_funct_2 F _let_2 _let_1) (tptp.m2_relset_1 F _let_2 _let_1)) (=> (and (= (tptp.g1_orders_2 (tptp.u1_struct_0 A) (tptp.u1_orders_2 A)) (tptp.g1_orders_2 _let_2 (tptp.u1_orders_2 C))) (= (tptp.g1_orders_2 (tptp.u1_struct_0 B) (tptp.u1_orders_2 B)) (tptp.g1_orders_2 _let_1 (tptp.u1_orders_2 D))) (= E F) (tptp.v5_orders_3 E A B)) (tptp.v5_orders_3 F C D)))))))))))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_orders_2 A) (forall ((B $$unsorted)) (=> (tptp.l1_orders_2 B) (forall ((C $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.l1_orders_2 C)) (forall ((D $$unsorted)) (=> (and (not (tptp.v3_struct_0 D)) (tptp.l1_orders_2 D)) (forall ((E $$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.m2_relset_1 E _let_2 _let_1)) (forall ((F $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 D))) (let ((_let_2 (tptp.u1_struct_0 C))) (=> (and (tptp.v1_funct_1 F) (tptp.v1_funct_2 F _let_2 _let_1) (tptp.m2_relset_1 F _let_2 _let_1)) (=> (and (= (tptp.g1_orders_2 (tptp.u1_struct_0 A) (tptp.u1_orders_2 A)) (tptp.g1_orders_2 _let_2 (tptp.u1_orders_2 C))) (= (tptp.g1_orders_2 (tptp.u1_struct_0 B) (tptp.u1_orders_2 B)) (tptp.g1_orders_2 _let_1 (tptp.u1_orders_2 D))) (= E F) (tptp.v5_waybel_0 E A B)) (tptp.v5_waybel_0 F C D)))))))))))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_struct_0 A) (forall ((B $$unsorted)) (=> (tptp.l1_struct_0 B) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 _let_1))) (=> (and (= (tptp.u1_struct_0 A) _let_1) (= C D) (tptp.r1_pre_topc A C)) (tptp.r1_pre_topc B D))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (= (tptp.k7_waybel_0 A B) (tptp.k2_yellow_4 A (tptp.k1_struct_0 A B) (tptp.k2_pre_topc A))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v4_orders_2 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (= (tptp.k6_waybel_0 A B) (tptp.k4_yellow_4 A (tptp.k1_struct_0 A B) (tptp.k2_pre_topc A))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v4_orders_2 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (= (tptp.k4_pre_topc A A (tptp.k4_waybel_1 A B) (tptp.k7_waybel_0 A B)) (tptp.k1_struct_0 A B)))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v4_orders_2 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (= (tptp.k5_pre_topc A A (tptp.k4_waybel_1 A B) (tptp.k1_struct_0 A B)) (tptp.k7_waybel_0 A B)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_struct_0 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.l1_waybel_0 B A)) (tptp.r1_waybel_0 A B (tptp.k8_yellow_2 (tptp.u1_struct_0 B) A (tptp.u1_waybel_0 A B))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.l1_orders_2 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.v3_orders_2 C) (tptp.v7_waybel_0 C) (tptp.l1_waybel_0 C A)) (=> (tptp.v10_waybel_0 C A) (= (tptp.k11_lattice3 A B (tptp.k1_waybel_2 A C)) (tptp.k1_yellow_0 A (tptp.k3_yellow_4 A (tptp.k1_struct_0 A B) (tptp.k8_yellow_2 (tptp.u1_struct_0 C) A (tptp.k2_waybel_0 A C)))))))))) (tptp.v1_waybel_2 A)))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k3_waybel_2 A B C))) (=> (and (not (tptp.v3_struct_0 C)) (tptp.v3_orders_2 C) (tptp.v7_waybel_0 C) (tptp.l1_waybel_0 C A)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v3_orders_2 _let_1) (tptp.v7_waybel_0 _let_1) (tptp.l1_waybel_0 _let_1 A))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.l1_waybel_0 B A) (= (tptp.k2_waybel_9 A B) (tptp.k6_yellow_2 A (tptp.u1_waybel_0 A B))))))) (forall ((A $$unsorted)) (=> (tptp.l1_orders_2 A) (forall ((B $$unsorted)) (=> (tptp.l1_waybel_0 B A) (= (tptp.r1_waybel_9 A B) (tptp.r1_yellow_0 A (tptp.k1_yellow_2 B A (tptp.u1_waybel_0 A B)))))))) (forall ((A $$unsorted)) (=> (tptp.l1_orders_2 A) (forall ((B $$unsorted)) (=> (tptp.l1_waybel_0 B A) (= (tptp.r2_waybel_9 A B) (tptp.r2_yellow_0 A (tptp.k1_yellow_2 B A (tptp.u1_waybel_0 A B)))))))) (forall ((A $$unsorted)) (=> (tptp.l1_orders_2 A) (forall ((B $$unsorted)) (=> (and (tptp.v6_waybel_0 B A) (tptp.l1_waybel_0 B A)) (= (= B (tptp.k3_waybel_9 A)) (and (= (tptp.g1_orders_2 (tptp.u1_struct_0 B) (tptp.u1_orders_2 B)) (tptp.g1_orders_2 (tptp.u1_struct_0 A) (tptp.u1_orders_2 A))) (= (tptp.u1_waybel_0 A B) (tptp.k7_grcat_1 A)))))))) (forall ((A $$unsorted)) (=> (tptp.l1_orders_2 A) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (tptp.v6_waybel_0 B A) (tptp.l1_waybel_0 B A)) (= (= B (tptp.k4_waybel_9 A)) (and (= (tptp.u1_struct_0 B) _let_1) (= (tptp.u1_orders_2 B) (tptp.k6_relset_1 _let_1 _let_1 (tptp.u1_orders_2 A))) (= (tptp.u1_waybel_0 A B) (tptp.k7_grcat_1 A))))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k4_waybel_9 A))) (let ((_let_2 (tptp.k7_lattice3 A))) (=> (tptp.l1_orders_2 A) (= (tptp.g1_orders_2 (tptp.u1_struct_0 _let_2) (tptp.u1_orders_2 _let_2)) (tptp.g1_orders_2 (tptp.u1_struct_0 _let_1) (tptp.u1_orders_2 _let_1))))))) (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.l1_waybel_0 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 B)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 D))) (=> (and (tptp.v6_waybel_0 D A) (tptp.l1_waybel_0 D A)) (= (= D (tptp.k5_waybel_9 A B C)) (and (forall ((E $$unsorted)) (= (tptp.r2_hidden E (tptp.u1_struct_0 D)) (exists ((F $$unsorted)) (and (tptp.m1_subset_1 F (tptp.u1_struct_0 B)) (= F E) (tptp.r1_orders_2 B C F))))) (= (tptp.u1_orders_2 D) (tptp.k1_toler_1 (tptp.u1_orders_2 B) _let_1)) (= (tptp.u1_waybel_0 A D) (tptp.k2_partfun1 (tptp.u1_struct_0 B) (tptp.u1_struct_0 A) (tptp.u1_waybel_0 A B) _let_1))))))))))))) (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.l1_waybel_0 B A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (=> (tptp.m1_subset_1 C _let_1) (tptp.r1_tarski (tptp.u1_struct_0 (tptp.k5_waybel_9 A B C)) _let_1)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_struct_0 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.l1_waybel_0 B A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k5_waybel_9 A B C))) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 B)) (and (tptp.v2_yellow_6 _let_1 A B) (tptp.m1_yellow_6 _let_1 A B))))))))) (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.v2_orders_2 B) (tptp.l1_waybel_0 B A)) (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)) (forall ((E $$unsorted)) (let ((_let_1 (tptp.k5_waybel_9 A B C))) (=> (tptp.m1_subset_1 E (tptp.u1_struct_0 _let_1)) (=> (= D E) (= (tptp.k3_waybel_0 A B D) (tptp.k3_waybel_0 A _let_1 E)))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_struct_0 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v7_waybel_0 B) (tptp.l1_waybel_0 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 B)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 B)) (forall ((E $$unsorted)) (let ((_let_1 (tptp.k5_waybel_9 A B C))) (=> (tptp.m1_subset_1 E (tptp.u1_struct_0 _let_1)) (=> (= D E) (= (tptp.k3_waybel_0 A B D) (tptp.k3_waybel_0 A _let_1 E)))))))))))))) (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.v3_orders_2 B) (tptp.v7_waybel_0 B) (tptp.l1_waybel_0 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 B)) (tptp.m2_yellow_6 (tptp.k5_waybel_9 A B C) A B))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_struct_0 A)) (forall ((B $$unsorted)) (=> (tptp.l1_struct_0 B) (forall ((C $$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)) (forall ((D $$unsorted)) (=> (tptp.l1_waybel_0 D A) (forall ((E $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 D))) (=> (and (tptp.v6_waybel_0 E B) (tptp.l1_waybel_0 E B)) (= (= E (tptp.k7_waybel_9 A B C D)) (and (= (tptp.g1_orders_2 (tptp.u1_struct_0 E) (tptp.u1_orders_2 E)) (tptp.g1_orders_2 _let_1 (tptp.u1_orders_2 D))) (= (tptp.u1_waybel_0 B E) (tptp.k7_funct_2 _let_1 (tptp.u1_struct_0 A) (tptp.u1_struct_0 B) (tptp.u1_waybel_0 A D) C))))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.l1_waybel_0 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (tptp.k7_waybel_9 A A (tptp.k4_waybel_1 A C) B) (tptp.k3_waybel_2 A C B)))))))) (forall ((A $$unsorted)) (=> (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.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 _let_1))) (=> (and (= (tptp.g1_pre_topc (tptp.u1_struct_0 A) (tptp.u1_pre_topc A)) (tptp.g1_pre_topc _let_1 (tptp.u1_pre_topc B))) (= C D) (tptp.v1_tops_2 C A)) (tptp.v1_tops_2 D B))))))))))) (forall ((A $$unsorted)) (=> (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.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 _let_1))) (=> (and (= (tptp.g1_pre_topc (tptp.u1_struct_0 A) (tptp.u1_pre_topc A)) (tptp.g1_pre_topc _let_1 (tptp.u1_pre_topc B))) (= C D) (tptp.v2_tops_2 C A)) (tptp.v2_tops_2 D B))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 (tptp.k10_yellow_6 A B))) (tptp.m1_connsp_2 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)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 (tptp.k10_yellow_6 A B))) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 (tptp.k10_yellow_6 A B)))) (=> (tptp.m1_subset_1 D _let_1) (tptp.m1_subset_1 (tptp.k3_xboole_0 C D) _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.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 (tptp.k10_yellow_6 A B))) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 (tptp.k10_yellow_6 A B)))) (=> (tptp.m1_subset_1 D _let_1) (tptp.m1_subset_1 (tptp.k2_xboole_0 C D) _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.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.v3_orders_2 C) (tptp.v7_waybel_0 C) (tptp.l1_waybel_0 C A)) (=> (tptp.r2_hidden B (tptp.k11_yellow_6 A C)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (= D (tptp.k8_yellow_2 (tptp.u1_struct_0 C) A (tptp.u1_waybel_0 A C))) (tptp.r2_hidden B (tptp.k6_pre_topc A D)))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_compts_1 A) (tptp.l1_waybel_9 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_orders_2 B) (tptp.v7_waybel_0 B) (tptp.v3_yellow_6 B A) (tptp.l1_waybel_0 B A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_1 _let_1) (tptp.m2_relset_1 C _let_1 _let_1)) (=> (tptp.v5_pre_topc C A A) (tptp.r2_hidden (tptp.k3_yellow_6 _let_1 A C (tptp.k12_yellow_6 A B)) (tptp.k11_yellow_6 A (tptp.k7_waybel_9 A A C B))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_compts_1 A) (tptp.l1_waybel_9 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_orders_2 B) (tptp.v7_waybel_0 B) (tptp.v3_yellow_6 B A) (tptp.l1_waybel_0 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (=> (tptp.v5_pre_topc (tptp.k4_waybel_1 A C) A A) (tptp.r2_hidden (tptp.k12_lattice3 A C (tptp.k12_yellow_6 A B)) (tptp.k11_yellow_6 A (tptp.k1_waybel_9 A C B)))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_compts_1 A) (tptp.l1_waybel_9 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (=> (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (tptp.v5_pre_topc (tptp.k4_waybel_1 A C) A A))) (tptp.v4_pre_topc (tptp.k7_waybel_0 A B) A)))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v2_compts_1 A) (tptp.v3_compts_1 A) (tptp.l1_waybel_9 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.v5_pre_topc (tptp.k4_waybel_1 A C) A A))) (tptp.v4_pre_topc (tptp.k6_waybel_0 A 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.l1_waybel_0 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (tptp.r3_waybel_9 A B C) (forall ((D $$unsorted)) (=> (tptp.m1_connsp_2 D A C) (tptp.r2_waybel_0 A 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.v3_orders_2 B) (tptp.v7_waybel_0 B) (tptp.l1_waybel_0 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (=> (tptp.r2_hidden C (tptp.k11_yellow_6 A B)) (tptp.r3_waybel_9 A B C)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.v2_compts_1 A) (tptp.v3_compts_1 A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_orders_2 B) (tptp.v7_waybel_0 B) (tptp.l1_waybel_0 B A)) (exists ((C $$unsorted)) (and (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (tptp.r3_waybel_9 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.v3_orders_2 B) (tptp.v7_waybel_0 B) (tptp.l1_waybel_0 B A)) (forall ((C $$unsorted)) (=> (tptp.m2_yellow_6 C A B) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (=> (tptp.r3_waybel_9 A C D) (tptp.r3_waybel_9 A 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.v3_orders_2 B) (tptp.v7_waybel_0 B) (tptp.l1_waybel_0 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (not (and (tptp.r3_waybel_9 A B C) (forall ((D $$unsorted)) (=> (tptp.m2_yellow_6 D A B) (not (tptp.r2_hidden C (tptp.k11_yellow_6 A D))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.v2_compts_1 A) (tptp.v3_compts_1 A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_orders_2 B) (tptp.v7_waybel_0 B) (tptp.l1_waybel_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.r3_waybel_9 A B C) (tptp.r3_waybel_9 A B D)) (= C D)))))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (=> (tptp.r3_waybel_9 A B C) (tptp.r2_hidden C (tptp.k11_yellow_6 A B)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.v3_orders_2 C) (tptp.v7_waybel_0 C) (tptp.l1_waybel_0 C A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (and (tptp.r3_waybel_9 A C B) (tptp.v4_pre_topc D A) (tptp.r1_tarski (tptp.k8_yellow_2 (tptp.u1_struct_0 C) A (tptp.u1_waybel_0 A C)) D)) (tptp.r2_hidden B D)))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v2_compts_1 A) (tptp.v3_compts_1 A) (tptp.l1_waybel_9 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.v3_orders_2 C) (tptp.v7_waybel_0 C) (tptp.l1_waybel_0 C A)) (=> (and (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (tptp.v5_pre_topc (tptp.k4_waybel_1 A D) A A))) (tptp.v10_waybel_0 C A) (tptp.r3_waybel_9 A C B)) (= B (tptp.k1_waybel_2 A C))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v2_compts_1 A) (tptp.v3_compts_1 A) (tptp.l1_waybel_9 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.v3_orders_2 C) (tptp.v7_waybel_0 C) (tptp.l1_waybel_0 C A)) (=> (and (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (tptp.v5_pre_topc (tptp.k4_waybel_1 A D) A A))) (tptp.v11_waybel_0 C A) (tptp.r3_waybel_9 A C B)) (= B (tptp.k2_waybel_9 A C))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_compts_1 A) (tptp.l1_waybel_9 A)) (=> (and (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_orders_2 B) (tptp.v7_waybel_0 B) (tptp.l1_waybel_0 B A)) (=> (tptp.v10_waybel_0 B A) (and (tptp.r1_waybel_9 A B) (tptp.r2_hidden (tptp.k1_waybel_2 A B) (tptp.k11_yellow_6 A B)))))) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (tptp.v5_pre_topc (tptp.k4_waybel_1 A B) A A)))) (tptp.v2_waybel_2 A)))) (forall ((A $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v2_compts_1 A) (tptp.v3_compts_1 A) (tptp.l1_waybel_9 A)) (=> (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (tptp.v5_pre_topc (tptp.k4_waybel_1 A B) A A))) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_orders_2 B) (tptp.v7_waybel_0 B) (tptp.l1_waybel_0 B A)) (=> (tptp.v10_waybel_0 B A) (and (tptp.r1_waybel_9 A B) (tptp.r2_hidden (tptp.k1_waybel_2 A B) (tptp.k11_yellow_6 A B))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v2_compts_1 A) (tptp.v3_compts_1 A) (tptp.l1_waybel_9 A)) (=> (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (tptp.v5_pre_topc (tptp.k4_waybel_1 A B) A A))) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_orders_2 B) (tptp.v7_waybel_0 B) (tptp.l1_waybel_0 B A)) (=> (tptp.v11_waybel_0 B A) (and (tptp.r2_waybel_9 A B) (tptp.r2_hidden (tptp.k2_waybel_9 A B) (tptp.k11_yellow_6 A B))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v2_compts_1 A) (tptp.v3_compts_1 A) (tptp.l1_waybel_9 A)) (=> (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (tptp.v5_pre_topc (tptp.k4_waybel_1 A B) A A))) (tptp.v3_yellow_0 A)))) (forall ((A $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v2_compts_1 A) (tptp.v3_compts_1 A) (tptp.l1_waybel_9 A)) (=> (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (tptp.v5_pre_topc (tptp.k4_waybel_1 A B) A A))) (tptp.v2_waybel_2 A)))) (forall ((A $$unsorted)) (=> (tptp.l1_waybel_9 A) (and (tptp.l1_pre_topc A) (tptp.l1_orders_2 A)))) (exists ((A $$unsorted)) (tptp.l1_waybel_9 A)) (forall ((A $$unsorted)) (=> (tptp.l1_waybel_9 A) (=> (tptp.v1_waybel_9 A) (= A (tptp.g1_waybel_9 (tptp.u1_struct_0 A) (tptp.u1_orders_2 A) (tptp.u1_pre_topc A)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k1_waybel_9 A B C))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A) (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (not (tptp.v3_struct_0 C)) (tptp.v3_orders_2 C) (tptp.v7_waybel_0 C) (tptp.l1_waybel_0 C A)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v3_orders_2 _let_1) (tptp.v6_waybel_0 _let_1 A) (tptp.v7_waybel_0 _let_1) (tptp.l1_waybel_0 _let_1 A))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A) (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (not (tptp.v3_struct_0 C)) (tptp.v3_orders_2 C) (tptp.v7_waybel_0 C) (tptp.l1_waybel_0 C A)) (= (tptp.k1_waybel_9 A B C) (tptp.k3_waybel_2 A B C)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A) (tptp.l1_waybel_0 B A)) (tptp.m1_subset_1 (tptp.k2_waybel_9 A B) (tptp.u1_struct_0 A)))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k3_waybel_9 A))) (=> (tptp.l1_orders_2 A) (and (tptp.v6_waybel_0 _let_1 A) (tptp.l1_waybel_0 _let_1 A))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k4_waybel_9 A))) (=> (tptp.l1_orders_2 A) (and (tptp.v6_waybel_0 _let_1 A) (tptp.l1_waybel_0 _let_1 A))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k5_waybel_9 A B C))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_struct_0 A) (not (tptp.v3_struct_0 B)) (tptp.l1_waybel_0 B A) (tptp.m1_subset_1 C (tptp.u1_struct_0 B))) (and (tptp.v6_waybel_0 _let_1 A) (tptp.l1_waybel_0 _let_1 A))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k6_waybel_9 A B C))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_struct_0 A) (not (tptp.v3_struct_0 B)) (tptp.v3_orders_2 B) (tptp.v7_waybel_0 B) (tptp.l1_waybel_0 B A) (tptp.m1_subset_1 C (tptp.u1_struct_0 B))) (and (tptp.v6_waybel_0 _let_1 A) (tptp.m2_yellow_6 _let_1 A B))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_struct_0 A) (not (tptp.v3_struct_0 B)) (tptp.v3_orders_2 B) (tptp.v7_waybel_0 B) (tptp.l1_waybel_0 B A) (tptp.m1_subset_1 C (tptp.u1_struct_0 B))) (= (tptp.k6_waybel_9 A B C) (tptp.k5_waybel_9 A B C)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k7_waybel_9 A B C D))) (let ((_let_2 (tptp.u1_struct_0 B))) (let ((_let_3 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_struct_0 A) (tptp.l1_struct_0 B) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_3 _let_2) (tptp.m1_relset_1 C _let_3 _let_2) (tptp.l1_waybel_0 D A)) (and (tptp.v6_waybel_0 _let_1 B) (tptp.l1_waybel_0 _let_1 B))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.g1_waybel_9 A B C))) (=> (and (tptp.m1_relset_1 B A A) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 A)))) (and (tptp.v1_waybel_9 _let_1) (tptp.l1_waybel_9 _let_1))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.m1_relset_1 B A A) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 A)))) (forall ((D $$unsorted) (E $$unsorted) (F $$unsorted)) (=> (= (tptp.g1_waybel_9 A B C) (tptp.g1_waybel_9 D E F)) (and (= A D) (= B E) (= C F)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_struct_0 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.l1_waybel_0 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 B)) (= (tptp.u1_struct_0 (tptp.k5_waybel_9 A B C)) (tptp.a_3_0_waybel_9 A B C)))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.l1_struct_0 B) (not (tptp.v3_struct_0 C)) (tptp.l1_waybel_0 C B) (tptp.m1_subset_1 D (tptp.u1_struct_0 C))) (= (tptp.r2_hidden A (tptp.a_3_0_waybel_9 B C D)) (exists ((E $$unsorted)) (and (tptp.m1_subset_1 E (tptp.u1_struct_0 C)) (= A E) (tptp.r1_orders_2 C D E)))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k2_funcop_1 A B))) (=> (and (not (tptp.v3_struct_0 B)) (tptp.l1_orders_2 B)) (and (tptp.v1_relat_1 _let_1) (tptp.v1_funct_1 _let_1) (tptp.v1_yellow_1 _let_1) (tptp.v4_waybel_3 _let_1) (tptp.v2_pralg_1 _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.l1_orders_2 A) (not (tptp.v3_struct_0 B)) (tptp.v2_orders_2 B) (tptp.l1_orders_2 B)) (exists ((C $$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) (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.v5_orders_3 C A B))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.v1_funct_2 B _let_1 _let_1))) (let ((_let_3 (tptp.v1_funct_1 B))) (=> (tptp.m1_relset_1 B _let_1 _let_1) (=> (and _let_3 _let_2 (tptp.v6_waybel_1 B A)) (and _let_3 (not (tptp.v1_xboole_0 B)) _let_2 (tptp.v1_partfun1 B _let_1 _let_1) (tptp.v11_quantal1 B) (tptp.v5_orders_3 B A A)))))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k2_yellow_2 A B C))) (let ((_let_2 (tptp.k2_waybel_1 A B C))) (let ((_let_3 (tptp.u1_struct_0 _let_1))) (let ((_let_4 (tptp.u1_struct_0 A))) (let ((_let_5 (tptp.u1_struct_0 B))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.l1_orders_2 A) (not (tptp.v3_struct_0 B)) (tptp.v2_orders_2 B) (tptp.l1_orders_2 B) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_4 _let_5) (tptp.v5_orders_3 C A B) (tptp.m1_relset_1 C _let_4 _let_5)) (and (tptp.v1_relat_1 _let_2) (tptp.v1_funct_1 _let_2) (not (tptp.v1_xboole_0 _let_2)) (tptp.v1_funct_2 _let_2 _let_4 _let_3) (tptp.v2_funct_2 _let_2 _let_4 _let_3) (tptp.v1_partfun1 _let_2 _let_4 _let_3) (tptp.v5_orders_3 _let_2 A _let_1))))))))) (forall ((A $$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_relat_1 _let_2) (tptp.v1_funct_1 _let_2) (tptp.v2_funct_1 _let_2) (tptp.v1_funct_2 _let_2 _let_1 _let_1)))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k7_grcat_1 A))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.l1_orders_2 A)) (and (tptp.v1_relat_1 _let_1) (tptp.v1_funct_1 _let_1) (tptp.v2_funct_1 _let_1) (not (tptp.v1_xboole_0 _let_1)) (tptp.v1_funct_2 _let_1 _let_2 _let_2) (tptp.v1_partfun1 _let_1 _let_2 _let_2) (tptp.v11_quantal1 _let_1) (tptp.v5_orders_3 _let_1 A A) (tptp.v17_waybel_0 _let_1 A A) (tptp.v18_waybel_0 _let_1 A A) (tptp.v19_waybel_0 _let_1 A A) (tptp.v20_waybel_0 _let_1 A A) (tptp.v21_waybel_0 _let_1 A A) (tptp.v22_waybel_0 _let_1 A A) (tptp.v23_waybel_0 _let_1 A A) (tptp.v6_waybel_1 _let_1 A) (tptp.v7_waybel_1 _let_1 A) (tptp.v8_waybel_1 _let_1 A)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.l1_orders_2 A)) (exists ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (and (tptp.m1_relset_1 B _let_1 _let_1) (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (tptp.v2_funct_1 B) (not (tptp.v1_xboole_0 B)) (tptp.v1_funct_2 B _let_1 _let_1) (tptp.v1_partfun1 B _let_1 _let_1) (tptp.v11_quantal1 B) (tptp.v5_orders_3 B A A) (tptp.v17_waybel_0 B A A) (tptp.v18_waybel_0 B A A) (tptp.v19_waybel_0 B A A) (tptp.v20_waybel_0 B A A) (tptp.v21_waybel_0 B A A) (tptp.v22_waybel_0 B A A) (tptp.v6_waybel_1 B A) (tptp.v7_waybel_1 B A) (tptp.v8_waybel_1 B A)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k2_waybel10 A B C D))) (let ((_let_2 (tptp.u1_struct_0 B))) (let ((_let_3 (tptp.u1_struct_0 D))) (let ((_let_4 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.l1_orders_2 A) (not (tptp.v3_struct_0 B)) (tptp.v2_orders_2 B) (tptp.l1_orders_2 B) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_4 _let_2) (tptp.v5_orders_3 C A B) (tptp.m1_relset_1 C _let_4 _let_2) (tptp.m1_yellow_0 D A)) (and (tptp.v1_relat_1 _let_1) (tptp.v1_funct_1 _let_1) (tptp.v1_funct_2 _let_1 _let_3 _let_2) (tptp.v1_partfun1 _let_1 _let_3 _let_2) (tptp.v5_orders_3 _let_1 D B)))))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k7_yellow_1 A B))) (=> (and (tptp.l1_orders_2 A) (not (tptp.v3_struct_0 B)) (tptp.v2_orders_2 B) (tptp.l1_orders_2 B)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v1_orders_2 _let_1) (tptp.v2_orders_2 _let_1) (tptp.v4_yellow_0 _let_1 (tptp.k6_yellow_1 (tptp.u1_struct_0 A) B)))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k4_waybel10 A))) (=> (tptp.l1_orders_2 A) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v1_orders_2 _let_1) (tptp.v2_orders_2 _let_1) (tptp.v3_orders_2 _let_1) (tptp.v4_orders_2 _let_1))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k4_waybel10 A))) (=> (tptp.l1_orders_2 A) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v1_orders_2 _let_1) (tptp.v2_orders_2 _let_1) (tptp.v3_orders_2 _let_1) (tptp.v4_orders_2 _let_1) (tptp.v1_lattice3 _let_1) (tptp.v2_lattice3 _let_1) (tptp.v3_lattice3 _let_1) (tptp.v1_yellow_0 _let_1) (tptp.v2_yellow_0 _let_1) (tptp.v3_yellow_0 _let_1) (tptp.v24_waybel_0 _let_1) (tptp.v25_waybel_0 _let_1))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_yellow_0 B A) (=> (tptp.v7_yellow_0 B A) (not (tptp.v3_struct_0 B))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_yellow_0 B A) (=> (tptp.v8_yellow_0 B A) (not (tptp.v3_struct_0 B))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k5_yellow_0 A (tptp.k2_pre_topc A)))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v1_orders_2 _let_1) (tptp.v4_yellow_0 _let_1 A) (tptp.v5_yellow_0 _let_1 A) (tptp.v6_yellow_0 _let_1 A) (tptp.v7_yellow_0 _let_1 A) (tptp.v8_yellow_0 _let_1 A) (tptp.v3_waybel_0 _let_1 A) (tptp.v4_waybel_0 _let_1 A))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k2_yellow_2 A A B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.l1_orders_2 A) (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_2 _let_2) (tptp.v7_waybel_1 B A) (tptp.m1_relset_1 B _let_2 _let_2)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v1_orders_2 _let_1) (tptp.v2_orders_2 _let_1) (tptp.v3_orders_2 _let_1) (tptp.v4_orders_2 _let_1) (tptp.v4_yellow_0 _let_1 A) (tptp.v5_yellow_0 _let_1 A) (tptp.v7_yellow_0 _let_1 A) (tptp.v3_waybel_0 _let_1 A)))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k7_waybel10 A B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_lattice3 A) (tptp.l1_orders_2 A) (tptp.v4_yellow_0 B A) (tptp.v7_yellow_0 B A) (tptp.m1_yellow_0 B A)) (and (tptp.v1_relat_1 _let_1) (tptp.v1_funct_1 _let_1) (not (tptp.v1_xboole_0 _let_1)) (tptp.v1_funct_2 _let_1 _let_2 _let_2) (tptp.v1_partfun1 _let_1 _let_2 _let_2) (tptp.v11_quantal1 _let_1) (tptp.v5_orders_3 _let_1 A A) (tptp.v6_waybel_1 _let_1 A) (tptp.v7_waybel_1 _let_1 A)))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 (tptp.k1_waybel10 (tptp.k4_waybel10 A) (tptp.k5_waybel10 A))))) (let ((_let_2 (tptp.u1_struct_0 (tptp.k3_waybel10 A)))) (let ((_let_3 (tptp.k6_waybel10 A))) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_lattice3 A) (tptp.l1_orders_2 A)) (and (tptp.v1_relat_1 _let_3) (tptp.v1_funct_1 _let_3) (tptp.v2_funct_1 _let_3) (not (tptp.v1_xboole_0 _let_3)) (tptp.v1_funct_2 _let_3 _let_2 _let_1) (tptp.v1_partfun1 _let_3 _let_2 _let_1))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k1_waybel10 (tptp.k4_waybel10 A) (tptp.k5_waybel10 A)))) (let ((_let_2 (tptp.k3_waybel10 A))) (let ((_let_3 (tptp.k6_waybel10 A))) (let ((_let_4 (tptp.u1_struct_0 _let_1))) (let ((_let_5 (tptp.u1_struct_0 _let_2))) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_lattice3 A) (tptp.l1_orders_2 A)) (and (tptp.v1_relat_1 _let_3) (tptp.v1_funct_1 _let_3) (tptp.v2_funct_1 _let_3) (not (tptp.v1_xboole_0 _let_3)) (tptp.v1_funct_2 _let_3 _let_5 _let_4) (tptp.v1_partfun1 _let_3 _let_5 _let_4) (tptp.v5_orders_3 _let_3 _let_2 _let_1) (tptp.v23_waybel_0 _let_3 _let_2 _let_1))))))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k7_waybel10 A B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_lattice3 A) (tptp.l1_orders_2 A) (tptp.v4_yellow_0 B A) (tptp.v7_yellow_0 B A) (tptp.v4_waybel_0 B A) (tptp.m1_yellow_0 B A)) (and (tptp.v1_relat_1 _let_1) (tptp.v1_funct_1 _let_1) (not (tptp.v1_xboole_0 _let_1)) (tptp.v1_funct_2 _let_1 _let_2 _let_2) (tptp.v1_partfun1 _let_1 _let_2 _let_2) (tptp.v11_quantal1 _let_1) (tptp.v5_orders_3 _let_1 A A) (tptp.v22_waybel_0 _let_1 A A) (tptp.v6_waybel_1 _let_1 A) (tptp.v7_waybel_1 _let_1 A)))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k2_yellow_2 A A B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_lattice3 A) (tptp.l1_orders_2 A) (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_2 _let_2) (tptp.v22_waybel_0 B A A) (tptp.v7_waybel_1 B A) (tptp.m1_relset_1 B _let_2 _let_2)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v1_orders_2 _let_1) (tptp.v2_orders_2 _let_1) (tptp.v3_orders_2 _let_1) (tptp.v4_orders_2 _let_1) (tptp.v2_lattice3 _let_1) (tptp.v4_yellow_0 _let_1 A) (tptp.v5_yellow_0 _let_1 A) (tptp.v7_yellow_0 _let_1 A) (tptp.v3_waybel_0 _let_1 A) (tptp.v4_waybel_0 _let_1 A)))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k8_waybel10 A))) (let ((_let_2 (tptp.k1_waybel10 (tptp.k4_waybel10 A) (tptp.k5_waybel10 A)))) (let ((_let_3 (tptp.k2_waybel10 (tptp.k3_waybel10 A) _let_2 (tptp.k6_waybel10 A) _let_1))) (let ((_let_4 (tptp.k2_yellow_2 _let_1 _let_2 _let_3))) (let ((_let_5 (tptp.k2_waybel_1 _let_1 _let_2 _let_3))) (let ((_let_6 (tptp.u1_struct_0 _let_4))) (let ((_let_7 (tptp.u1_struct_0 _let_1))) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_lattice3 A) (tptp.l1_orders_2 A)) (and (tptp.v1_relat_1 _let_5) (tptp.v1_funct_1 _let_5) (tptp.v2_funct_1 _let_5) (not (tptp.v1_xboole_0 _let_5)) (tptp.v1_funct_2 _let_5 _let_7 _let_6) (tptp.v2_funct_2 _let_5 _let_7 _let_6) (tptp.v3_funct_2 _let_5 _let_7 _let_6) (tptp.v1_partfun1 _let_5 _let_7 _let_6) (tptp.v5_orders_3 _let_5 _let_1 _let_4) (tptp.v23_waybel_0 _let_5 _let_1 _let_4))))))))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k4_relat_1 A))) (let ((_let_2 (tptp.r1_tarski _let_1 B))) (let ((_let_3 (tptp.k4_relat_1 B))) (let ((_let_4 (tptp.r1_tarski A _let_3))) (let ((_let_5 (tptp.r1_tarski A B))) (let ((_let_6 (tptp.r1_tarski _let_1 _let_3))) (=> (tptp.v1_relat_1 B) (and (=> _let_5 _let_6) (=> _let_6 _let_5) (=> _let_2 _let_4) (=> _let_4 _let_2)))))))))))) true (forall ((A $$unsorted)) (=> (tptp.l1_orders_2 A) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k7_lattice3 B))) (let ((_let_2 (tptp.m1_yellow_0 _let_1 A))) (let ((_let_3 (tptp.k7_lattice3 A))) (let ((_let_4 (tptp.m1_yellow_0 B _let_3))) (let ((_let_5 (tptp.m1_yellow_0 B A))) (let ((_let_6 (tptp.m1_yellow_0 _let_1 _let_3))) (=> (tptp.l1_orders_2 B) (and (=> _let_5 _let_6) (=> _let_6 _let_5) (=> _let_2 _let_4) (=> _let_4 _let_2)))))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_orders_2 A) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k7_lattice3 B))) (let ((_let_2 (and (tptp.v4_yellow_0 _let_1 A) (tptp.m1_yellow_0 _let_1 A)))) (let ((_let_3 (tptp.k7_lattice3 A))) (let ((_let_4 (and (tptp.v4_yellow_0 B _let_3) (tptp.m1_yellow_0 B _let_3)))) (let ((_let_5 (and (tptp.v4_yellow_0 B A) (tptp.m1_yellow_0 B A)))) (let ((_let_6 (and (tptp.v4_yellow_0 _let_1 _let_3) (tptp.m1_yellow_0 _let_1 _let_3)))) (=> (tptp.l1_orders_2 B) (and (=> _let_5 _let_6) (=> _let_6 _let_5) (=> _let_2 _let_4) (=> _let_4 _let_2)))))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_orders_2 A) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.u1_struct_0 (tptp.k5_yellow_0 A B)))) (let ((_let_3 (tptp.k6_partfun1 B))) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 _let_1)) (and (tptp.v1_funct_1 _let_3) (tptp.v1_funct_2 _let_3 _let_2 _let_1) (tptp.m2_relset_1 _let_3 _let_2 _let_1) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k5_yellow_0 A B))) (let ((_let_2 (tptp.u1_struct_0 A))) (let ((_let_3 (tptp.u1_struct_0 _let_1))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_3 _let_2) (tptp.m2_relset_1 C _let_3 _let_2)) (=> (= C (tptp.k6_partfun1 B)) (tptp.v5_orders_3 C _let_1 A))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$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.v7_waybel_1 B A) (tptp.m2_relset_1 B _let_1 _let_1)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 C _let_1) (tptp.r1_orders_2 A C (tptp.k7_yellow_2 _let_1 A B C)))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_struct_0 A) (forall ((B $$unsorted)) (=> (tptp.l1_struct_0 B) (forall ((C $$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)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 D))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (tptp.l1_struct_0 D) (=> (tptp.r1_tarski _let_1 _let_2) (= (tptp.k2_waybel10 A B C D) (tptp.k2_partfun1 _let_2 (tptp.u1_struct_0 B) C _let_1))))))))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_orders_2 A) (forall ((B $$unsorted)) (=> (tptp.l1_orders_2 B) (forall ((C $$unsorted)) (=> (tptp.m1_yellow_0 C A) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D _let_2 _let_1) (tptp.m2_relset_1 D _let_2 _let_1)) (and (= (tptp.k2_waybel10 A B D C) (tptp.k2_partfun1 _let_2 _let_1 D (tptp.u1_struct_0 C))) (forall ((E $$unsorted)) (=> (tptp.r2_hidden E (tptp.u1_struct_0 C)) (= (tptp.k1_funct_1 (tptp.k2_waybel10 A B D C) E) (tptp.k1_funct_1 D E))))))))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_orders_2 A) (forall ((B $$unsorted)) (=> (tptp.l1_orders_2 B) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.m2_relset_1 C _let_2 _let_1)) (=> (tptp.v2_funct_1 C) (forall ((D $$unsorted)) (=> (tptp.m1_yellow_0 D A) (tptp.v2_funct_1 (tptp.k2_waybel10 A B C D))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.l1_orders_2 B)) (forall ((C $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.m1_yellow_0 C A)) (forall ((D $$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.m2_relset_1 D _let_2 _let_1)) (forall ((E $$unsorted)) (let ((_let_1 (tptp.k2_waybel10 A B D C))) (let ((_let_2 (tptp.k2_yellow_2 C B _let_1))) (let ((_let_3 (tptp.k2_waybel10 B A E _let_2))) (let ((_let_4 (tptp.u1_struct_0 C))) (let ((_let_5 (tptp.u1_struct_0 _let_2))) (let ((_let_6 (tptp.u1_struct_0 A))) (let ((_let_7 (tptp.u1_struct_0 B))) (=> (and (tptp.v1_funct_1 E) (tptp.v1_funct_2 E _let_7 _let_6) (tptp.m2_relset_1 E _let_7 _let_6)) (=> (and (tptp.v2_funct_1 D) (= E (tptp.k2_funct_1 D))) (and (tptp.v1_funct_1 _let_3) (tptp.v1_funct_2 _let_3 _let_5 _let_4) (tptp.m2_relset_1 _let_3 _let_5 _let_4) (= _let_3 (tptp.k2_funct_1 _let_1))))))))))))))))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_orders_2 A) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_orders_2 B) (tptp.l1_orders_2 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (= (tptp.m1_subset_1 C (tptp.u1_struct_0 (tptp.k7_yellow_1 A B))) (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.v5_orders_3 C A B) (tptp.m2_relset_1 C _let_2 _let_1)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k7_yellow_1 A A))) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v1_orders_2 B) (tptp.v4_yellow_0 B _let_1) (tptp.m1_yellow_0 B _let_1)) (= (= B (tptp.k3_waybel10 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_1 _let_1) (tptp.m2_relset_1 C _let_1 _let_1)) (= (tptp.m1_subset_1 C (tptp.u1_struct_0 B)) (tptp.v7_waybel_1 C A))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (= (tptp.m1_subset_1 B (tptp.u1_struct_0 (tptp.k3_waybel10 A))) (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_1 _let_1) (tptp.v7_waybel_1 B A) (tptp.m2_relset_1 B _let_1 _let_1))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.l1_orders_2 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 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 $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D A _let_1) (tptp.m2_relset_1 D A _let_1)) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.u1_struct_0 (tptp.k6_yellow_1 A B))) (forall ((F $$unsorted)) (let ((_let_1 (tptp.k6_yellow_1 A B))) (=> (tptp.m1_subset_1 F (tptp.u1_struct_0 _let_1)) (=> (and (= E C) (= F D)) (= (tptp.r1_orders_2 _let_1 E F) (tptp.r1_yellow_2 A B C D)))))))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_1 _let_1) (tptp.m2_relset_1 B _let_1 _let_1)) (forall ((C $$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 $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 (tptp.k3_waybel10 A))) (forall ((E $$unsorted)) (let ((_let_1 (tptp.k3_waybel10 A))) (=> (tptp.m1_subset_1 E (tptp.u1_struct_0 _let_1)) (=> (and (= D B) (= E C)) (= (tptp.r3_orders_2 _let_1 D E) (tptp.r1_yellow_2 (tptp.u1_struct_0 A) A B C)))))))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (tptp.v4_yellow_0 B A) (tptp.m1_yellow_0 B A)) (forall ((C $$unsorted)) (=> (and (tptp.v4_yellow_0 C A) (tptp.m1_yellow_0 C A)) (=> (tptp.r1_tarski (tptp.u1_struct_0 B) (tptp.u1_struct_0 C)) (tptp.m1_yellow_0 B C)))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_1 _let_1) (tptp.v7_waybel_1 B A) (tptp.m2_relset_1 B _let_1 _let_1)) (forall ((C $$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.v7_waybel_1 C A) (tptp.m2_relset_1 C _let_1 _let_1)) (= (tptp.r1_yellow_2 _let_1 A B C) (tptp.m1_yellow_0 (tptp.k2_yellow_2 A A C) (tptp.k2_yellow_2 A A B))))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_orders_2 A) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v1_orders_2 B) (tptp.l1_orders_2 B)) (= (= B (tptp.k4_waybel10 A)) (and (forall ((C $$unsorted)) (= (tptp.m1_subset_1 C (tptp.u1_struct_0 B)) (and (tptp.v1_orders_2 C) (tptp.m1_yellow_0 C A)))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 B)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 B)) (= (tptp.r1_orders_2 B C D) (exists ((E $$unsorted)) (and (tptp.l1_orders_2 E) (= D E) (tptp.m1_yellow_0 C E)))))))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_orders_2 A) (forall ((B $$unsorted)) (=> (tptp.l1_orders_2 B) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 (tptp.k4_waybel10 A))) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k4_waybel10 A))) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 _let_1)) (=> (= D B) (= (tptp.r1_orders_2 _let_1 C D) (tptp.m1_yellow_0 C B)))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k4_waybel10 A))) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v1_orders_2 B) (tptp.v4_yellow_0 B _let_1) (tptp.m1_yellow_0 B _let_1)) (= (= B (tptp.k5_waybel10 A)) (forall ((C $$unsorted)) (=> (and (tptp.v1_orders_2 C) (tptp.m1_yellow_0 C A)) (= (tptp.m1_subset_1 C (tptp.u1_struct_0 B)) (and (tptp.v7_yellow_0 C A) (tptp.v4_yellow_0 C A))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (= (tptp.m1_subset_1 B (tptp.u1_struct_0 (tptp.k5_waybel10 A))) (and (tptp.v1_orders_2 B) (tptp.v4_yellow_0 B A) (tptp.v7_yellow_0 B A) (tptp.m1_yellow_0 B A)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.l1_orders_2 B) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 (tptp.k5_waybel10 A))) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k5_waybel10 A))) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 _let_1)) (=> (= D B) (= (tptp.r3_orders_2 _let_1 C D) (tptp.m1_yellow_0 C B)))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 (tptp.k1_waybel10 (tptp.k4_waybel10 A) (tptp.k5_waybel10 A))))) (let ((_let_2 (tptp.u1_struct_0 (tptp.k3_waybel10 A)))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_2 _let_1) (tptp.m2_relset_1 B _let_2 _let_1)) (= (= B (tptp.k6_waybel10 A)) (forall ((C $$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.v7_waybel_1 C A) (tptp.m2_relset_1 C _let_1 _let_1)) (= (tptp.k1_funct_1 B C) (tptp.k2_yellow_2 A A C)))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_yellow_0 B A) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_1 _let_1) (tptp.m2_relset_1 C _let_1 _let_1)) (= (= C (tptp.k7_waybel10 A B)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 D _let_1) (= (tptp.k7_yellow_2 _let_1 A C D) (tptp.k2_yellow_0 A (tptp.k3_xboole_0 (tptp.k7_waybel_0 A D) (tptp.u1_struct_0 B))))))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (tptp.v4_yellow_0 B A) (tptp.v7_yellow_0 B A) (tptp.m1_yellow_0 B A)) (= (tptp.k2_yellow_2 A A (tptp.k7_waybel10 A B)) (tptp.g1_orders_2 (tptp.u1_struct_0 B) (tptp.u1_orders_2 B))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$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.v7_waybel_1 B A) (tptp.m2_relset_1 B _let_1 _let_1)) (= (tptp.k7_waybel10 A (tptp.k2_yellow_2 A A B)) B)))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 (tptp.k3_waybel10 A)))) (let ((_let_2 (tptp.u1_struct_0 (tptp.k1_waybel10 (tptp.k4_waybel10 A) (tptp.k5_waybel10 A))))) (let ((_let_3 (tptp.k2_funct_1 (tptp.k6_waybel10 A)))) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_lattice3 A) (tptp.l1_orders_2 A)) (and (tptp.v1_funct_1 _let_3) (tptp.v1_funct_2 _let_3 _let_2 _let_1) (tptp.m2_relset_1 _let_3 _let_2 _let_1))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_orders_2 B) (tptp.v4_yellow_0 B A) (tptp.v7_yellow_0 B A) (tptp.m1_yellow_0 B A)) (= (tptp.k1_funct_1 (tptp.k2_funct_1 (tptp.k6_waybel10 A)) B) (tptp.k7_waybel10 A B)))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_lattice3 A) (tptp.l1_orders_2 A)) (tptp.r5_waybel_1 (tptp.k3_waybel10 A) (tptp.k1_waybel10 (tptp.k4_waybel10 A) (tptp.k5_waybel10 A))))) (forall ((A $$unsorted)) (=> (tptp.l1_orders_2 A) (forall ((B $$unsorted)) (=> (and (tptp.v4_yellow_0 B A) (tptp.m1_yellow_0 B A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))))) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B))) (and (=> (and (tptp.v1_waybel_0 C A) _let_1) (tptp.v1_waybel_0 C B)) (=> (and (tptp.v2_waybel_0 C A) _let_1) (tptp.v2_waybel_0 C B)))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (tptp.v4_yellow_0 B A) (tptp.v7_yellow_0 B A) (tptp.m1_yellow_0 B A)) (= (tptp.v22_waybel_0 (tptp.k7_waybel10 A B) A A) (tptp.v4_waybel_0 B A)))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_1 _let_1) (tptp.v7_waybel_1 B A) (tptp.m2_relset_1 B _let_1 _let_1)) (= (tptp.v22_waybel_0 B A A) (tptp.v4_waybel_0 (tptp.k2_yellow_2 A A B) A))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k3_waybel10 A))) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v1_orders_2 B) (tptp.v4_yellow_0 B _let_1) (tptp.m1_yellow_0 B _let_1)) (= (= B (tptp.k8_waybel10 A)) (forall ((C $$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.v7_waybel_1 C A) (tptp.m2_relset_1 C _let_1 _let_1)) (= (tptp.m1_subset_1 C (tptp.u1_struct_0 B)) (tptp.v22_waybel_0 C A A))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (= (tptp.m1_subset_1 B (tptp.u1_struct_0 (tptp.k8_waybel10 A))) (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_1 _let_1) (tptp.v22_waybel_0 B A A) (tptp.v7_waybel_1 B A) (tptp.m2_relset_1 B _let_1 _let_1))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k5_waybel10 A))) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v1_orders_2 B) (tptp.v4_yellow_0 B _let_1) (tptp.m1_yellow_0 B _let_1)) (= (= B (tptp.k9_waybel10 A)) (forall ((C $$unsorted)) (=> (and (tptp.v1_orders_2 C) (tptp.v4_yellow_0 C A) (tptp.v7_yellow_0 C A) (tptp.m1_yellow_0 C A)) (= (tptp.m1_subset_1 C (tptp.u1_struct_0 B)) (tptp.v4_waybel_0 C A)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (= (tptp.m1_subset_1 B (tptp.u1_struct_0 (tptp.k9_waybel10 A))) (and (tptp.v1_orders_2 B) (tptp.v4_yellow_0 B A) (tptp.v7_yellow_0 B A) (tptp.v4_waybel_0 B A) (tptp.m1_yellow_0 B A)))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k5_waybel10 A))) (let ((_let_2 (tptp.k8_waybel10 A))) (let ((_let_3 (tptp.k1_waybel10 (tptp.k4_waybel10 A) _let_1))) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_lattice3 A) (tptp.l1_orders_2 A)) (= (tptp.k2_yellow_2 _let_2 _let_3 (tptp.k2_waybel10 (tptp.k3_waybel10 A) _let_3 (tptp.k6_waybel10 A) _let_2)) (tptp.k1_waybel10 _let_1 (tptp.k9_waybel10 A)))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_lattice3 A) (tptp.l1_orders_2 A)) (tptp.r5_waybel_1 (tptp.k8_waybel10 A) (tptp.k1_waybel10 (tptp.k5_waybel10 A) (tptp.k9_waybel10 A))))) (=> (and (tptp.p1_s1_waybel10 tptp.f2_s1_waybel10) (tptp.r2_hidden tptp.f2_s1_waybel10 (tptp.u1_struct_0 tptp.f1_s1_waybel10))) (exists ((A $$unsorted)) (and (not (tptp.v3_struct_0 A)) (tptp.v1_orders_2 A) (tptp.v4_yellow_0 A tptp.f1_s1_waybel10) (tptp.m1_yellow_0 A tptp.f1_s1_waybel10) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 tptp.f1_s1_waybel10)) (= (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (tptp.p1_s1_waybel10 B))))))) (=> (and (forall ((A $$unsorted)) (= (tptp.m1_subset_1 A (tptp.u1_struct_0 tptp.f1_s2_waybel10)) (tptp.p1_s2_waybel10 A))) (forall ((A $$unsorted)) (= (tptp.m1_subset_1 A (tptp.u1_struct_0 tptp.f2_s2_waybel10)) (tptp.p1_s2_waybel10 A))) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A (tptp.u1_struct_0 tptp.f1_s2_waybel10)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 tptp.f1_s2_waybel10)) (= (tptp.r1_orders_2 tptp.f1_s2_waybel10 A B) (tptp.p2_s2_waybel10 A B)))))) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A (tptp.u1_struct_0 tptp.f2_s2_waybel10)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 tptp.f2_s2_waybel10)) (= (tptp.r1_orders_2 tptp.f2_s2_waybel10 A B) (tptp.p2_s2_waybel10 A B))))))) (= (tptp.g1_orders_2 (tptp.u1_struct_0 tptp.f1_s2_waybel10) (tptp.u1_orders_2 tptp.f1_s2_waybel10)) (tptp.g1_orders_2 (tptp.u1_struct_0 tptp.f2_s2_waybel10) (tptp.u1_orders_2 tptp.f2_s2_waybel10)))) (=> (and (forall ((A $$unsorted)) (= (tptp.m1_subset_1 A (tptp.u1_struct_0 tptp.f2_s3_waybel10)) (tptp.p1_s3_waybel10 A))) (forall ((A $$unsorted)) (= (tptp.m1_subset_1 A (tptp.u1_struct_0 tptp.f3_s3_waybel10)) (tptp.p1_s3_waybel10 A)))) (= (tptp.g1_orders_2 (tptp.u1_struct_0 tptp.f2_s3_waybel10) (tptp.u1_orders_2 tptp.f2_s3_waybel10)) (tptp.g1_orders_2 (tptp.u1_struct_0 tptp.f3_s3_waybel10) (tptp.u1_orders_2 tptp.f3_s3_waybel10)))) (=> (and (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A (tptp.u1_struct_0 tptp.f1_s4_waybel10)) (= (tptp.m1_subset_1 A (tptp.u1_struct_0 tptp.f2_s4_waybel10)) (tptp.p1_s4_waybel10 A)))) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A (tptp.u1_struct_0 tptp.f1_s4_waybel10)) (= (tptp.m1_subset_1 A (tptp.u1_struct_0 tptp.f3_s4_waybel10)) (tptp.p1_s4_waybel10 A))))) (= (tptp.g1_orders_2 (tptp.u1_struct_0 tptp.f2_s4_waybel10) (tptp.u1_orders_2 tptp.f2_s4_waybel10)) (tptp.g1_orders_2 (tptp.u1_struct_0 tptp.f3_s4_waybel10) (tptp.u1_orders_2 tptp.f3_s4_waybel10)))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k7_lattice3 A))) (let ((_let_2 (tptp.k1_waybel10 A B))) (=> (and (tptp.l1_orders_2 A) (tptp.v4_yellow_0 B A) (tptp.m1_yellow_0 B A)) (and (tptp.v1_orders_2 _let_2) (tptp.v4_yellow_0 _let_2 _let_1) (tptp.m1_yellow_0 _let_2 _let_1)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.l1_orders_2 A) (tptp.v4_yellow_0 B A) (tptp.m1_yellow_0 B A)) (= (tptp.k1_waybel10 A B) (tptp.k7_lattice3 B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 D))) (let ((_let_3 (tptp.k2_waybel10 A B C D))) (let ((_let_4 (tptp.u1_struct_0 A))) (=> (and (tptp.l1_struct_0 A) (tptp.l1_struct_0 B) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_4 _let_1) (tptp.m1_relset_1 C _let_4 _let_1) (tptp.l1_struct_0 D)) (and (tptp.v1_funct_1 _let_3) (tptp.v1_funct_2 _let_3 _let_2 _let_1) (tptp.m2_relset_1 _let_3 _let_2 _let_1)))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k7_yellow_1 A A))) (let ((_let_2 (tptp.k3_waybel10 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.l1_orders_2 A)) (and (not (tptp.v3_struct_0 _let_2)) (tptp.v1_orders_2 _let_2) (tptp.v4_yellow_0 _let_2 _let_1) (tptp.m1_yellow_0 _let_2 _let_1)))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k4_waybel10 A))) (=> (tptp.l1_orders_2 A) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v1_orders_2 _let_1) (tptp.l1_orders_2 _let_1))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k4_waybel10 A))) (let ((_let_2 (tptp.k5_waybel10 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (and (not (tptp.v3_struct_0 _let_2)) (tptp.v1_orders_2 _let_2) (tptp.v4_yellow_0 _let_2 _let_1) (tptp.m1_yellow_0 _let_2 _let_1)))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 (tptp.k1_waybel10 (tptp.k4_waybel10 A) (tptp.k5_waybel10 A))))) (let ((_let_2 (tptp.u1_struct_0 (tptp.k3_waybel10 A)))) (let ((_let_3 (tptp.k6_waybel10 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.l1_orders_2 A)) (and (tptp.v1_funct_1 _let_3) (tptp.v1_funct_2 _let_3 _let_2 _let_1) (tptp.m2_relset_1 _let_3 _let_2 _let_1))))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.k7_waybel10 A B))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A) (tptp.m1_yellow_0 B A)) (and (tptp.v1_funct_1 _let_2) (tptp.v1_funct_2 _let_2 _let_1 _let_1) (tptp.m2_relset_1 _let_2 _let_1 _let_1)))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k3_waybel10 A))) (let ((_let_2 (tptp.k8_waybel10 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.l1_orders_2 A)) (and (not (tptp.v3_struct_0 _let_2)) (tptp.v1_orders_2 _let_2) (tptp.v4_yellow_0 _let_2 _let_1) (tptp.m1_yellow_0 _let_2 _let_1)))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k5_waybel10 A))) (let ((_let_2 (tptp.k9_waybel10 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (and (not (tptp.v3_struct_0 _let_2)) (tptp.v1_orders_2 _let_2) (tptp.v4_yellow_0 _let_2 _let_1) (tptp.m1_yellow_0 _let_2 _let_1)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.l1_orders_2 A)) (exists ((B $$unsorted)) (and (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (not (tptp.v1_xboole_0 B)) (tptp.v1_finset_1 B) (tptp.v1_waybel_0 B A))))) (exists ((A $$unsorted)) (and (tptp.l1_orders_2 A) (not (tptp.v3_struct_0 A)) (tptp.v1_orders_2 A) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_yellow_0 A) (tptp.v2_yellow_0 A) (tptp.v3_yellow_0 A) (tptp.v2_waybel_3 A) (tptp.v3_waybel_3 A) (tptp.v1_waybel_5 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_lattice3 A) (tptp.v16_waybel_0 A) (tptp.v24_waybel_0 A) (tptp.v25_waybel_0 A) (tptp.v9_waybel_1 A) (tptp.v6_group_1 A) (tptp.v3_realset2 A))) (exists ((A $$unsorted)) (and (tptp.l1_struct_0 A) (tptp.v1_struct_0 A) (not (tptp.v3_struct_0 A)) (tptp.v6_group_1 A))) (forall ((A $$unsorted)) (=> (and (tptp.v6_group_1 A) (tptp.l1_struct_0 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (tptp.v1_finset_1 B))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k1_pre_topc A))) (=> (tptp.l1_orders_2 A) (and (tptp.v1_xboole_0 _let_1) (tptp.v1_finset_1 _let_1) (tptp.v5_orders_2 _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) (tptp.v1_waybel_0 _let_1 A) (tptp.v2_waybel_0 _let_1 A) (tptp.v12_waybel_0 _let_1 A) (tptp.v13_waybel_0 _let_1 A))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_realset2 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (tptp.v13_waybel_0 B A))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k1_pre_topc A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.l1_orders_2 A)) (and (tptp.v1_xboole_0 _let_1) (tptp.v1_finset_1 _let_1) (tptp.v5_orders_2 _let_1 A) (tptp.v1_membered _let_1) (tptp.v2_membered _let_1) (tptp.v3_membered _let_1) (tptp.v4_membered _let_1) (tptp.v5_membered _let_1) (tptp.v1_waybel_0 _let_1 A) (tptp.v2_waybel_0 _let_1 A) (tptp.v12_waybel_0 _let_1 A) (tptp.v13_waybel_0 _let_1 A) (tptp.v2_waybel11 _let_1 A) (tptp.v3_waybel11 _let_1 A))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.l1_orders_2 A)) (exists ((B $$unsorted)) (and (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (tptp.v2_waybel11 B A) (tptp.v3_waybel11 B A))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.l1_orders_2 A) (tptp.v3_waybel11 B A) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 _let_1))) (tptp.v2_waybel11 (tptp.k3_subset_1 _let_1 B) A)))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v6_group_1 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (and (tptp.v1_finset_1 B) (tptp.v1_waybel11 B A)))))) (exists ((A $$unsorted)) (and (tptp.l1_waybel_9 A) (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_yellow_0 A) (tptp.v2_yellow_0 A) (tptp.v3_yellow_0 A) (tptp.v2_waybel_3 A) (tptp.v3_waybel_3 A) (tptp.v1_waybel_5 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_lattice3 A) (tptp.v16_waybel_0 A) (tptp.v24_waybel_0 A) (tptp.v25_waybel_0 A) (tptp.v1_waybel_9 A) (tptp.v9_waybel_1 A) (tptp.v3_realset2 A) (tptp.v4_waybel11 A))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k2_pre_topc A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.l1_orders_2 A)) (and (not (tptp.v1_xboole_0 _let_1)) (tptp.v12_waybel_0 _let_1 A) (tptp.v13_waybel_0 _let_1 A) (tptp.v1_waybel11 _let_1 A) (tptp.v2_waybel11 _let_1 A))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.l1_orders_2 A)) (exists ((B $$unsorted)) (and (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (tptp.v12_waybel_0 B A) (tptp.v13_waybel_0 B A) (tptp.v1_waybel11 B A) (tptp.v2_waybel11 B A))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.l1_orders_2 A) (tptp.v1_waybel11 B A) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 _let_1))) (tptp.v2_waybel11 (tptp.k3_subset_1 _let_1 B) A)))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.l1_orders_2 A) (tptp.v2_waybel11 B A) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 _let_1))) (tptp.v1_waybel11 (tptp.k3_subset_1 _let_1 B) A)))) (forall ((A $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_lattice3 A) (tptp.l1_waybel_9 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (tptp.v12_waybel_0 B A) (tptp.v3_waybel11 B A)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k3_waybel11 A B C))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A) (not (tptp.v1_xboole_0 B)) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C B _let_2) (tptp.m1_relset_1 C B _let_2)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v6_waybel_0 _let_1 A) (tptp.v8_waybel_0 _let_1 A)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k3_waybel11 A B C))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_orders_2 A) (tptp.l1_orders_2 A) (not (tptp.v1_xboole_0 B)) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C B _let_2) (tptp.m1_relset_1 C B _let_2)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v3_orders_2 _let_1) (tptp.v6_waybel_0 _let_1 A) (tptp.v8_waybel_0 _let_1 A)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k3_waybel11 A B C))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.l1_orders_2 A) (not (tptp.v1_xboole_0 B)) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C B _let_2) (tptp.m1_relset_1 C B _let_2)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v2_orders_2 _let_1) (tptp.v6_waybel_0 _let_1 A) (tptp.v8_waybel_0 _let_1 A)))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 A)) (exists ((B $$unsorted)) (and (tptp.l1_waybel_0 B A) (not (tptp.v3_struct_0 B)) (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v6_waybel_0 B A) (tptp.v7_waybel_0 B) (tptp.v8_waybel_0 B A) (tptp.v10_waybel_0 B A))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k4_waybel11 A B))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_struct_0 A) (tptp.m1_subset_1 B (tptp.u1_struct_0 A))) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v6_waybel_0 _let_1 A))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k4_waybel11 A B))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_struct_0 A) (tptp.m1_subset_1 B (tptp.u1_struct_0 A))) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v2_orders_2 _let_1) (tptp.v3_orders_2 _let_1) (tptp.v4_orders_2 _let_1) (tptp.v6_waybel_0 _let_1 A) (tptp.v7_waybel_0 _let_1))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k2_waybel11 A))) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_lattice3 A) (tptp.l1_orders_2 A)) (and (tptp.v1_relat_1 _let_1) (tptp.v4_yellow_6 _let_1 A))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k2_waybel11 A))) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_lattice3 A) (tptp.l1_orders_2 A)) (and (tptp.v1_relat_1 _let_1) (tptp.v4_yellow_6 _let_1 A) (tptp.v5_yellow_6 _let_1 A))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k2_waybel11 A))) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v3_waybel_3 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_lattice3 A) (tptp.l1_orders_2 A)) (and (tptp.v1_relat_1 _let_1) (tptp.v4_yellow_6 _let_1 A) (tptp.v5_yellow_6 _let_1 A) (tptp.v6_yellow_6 _let_1 A) (tptp.v7_yellow_6 _let_1 A) (tptp.v8_yellow_6 _let_1 A))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_lattice3 A) (tptp.l1_orders_2 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.r4_yellow_4 A B C) (tptp.r3_orders_2 A (tptp.k2_yellow_0 A B) (tptp.k2_yellow_0 A C))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (tptp.r3_yellow_4 A B C) (tptp.r3_orders_2 A (tptp.k1_yellow_0 A B) (tptp.k1_yellow_0 A C))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_orders_2 A) (forall ((B $$unsorted)) (=> (and (tptp.v13_waybel_0 B A) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_waybel_0 C A) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 _let_1))) (tptp.v1_waybel_0 (tptp.k5_subset_1 _let_1 B C) A)))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.v1_finset_1 B) (tptp.v1_waybel_0 B A) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (tptp.r2_hidden (tptp.k1_yellow_0 A B) B))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (and (tptp.v13_waybel_0 C A) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (=> (not (tptp.r2_hidden B C)) (tptp.r1_xboole_0 C (tptp.k6_waybel_0 A B))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (and (tptp.v12_waybel_0 C A) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (=> (tptp.r2_hidden B C) (tptp.r1_tarski (tptp.k6_waybel_0 A B) C)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (tptp.v1_waybel11 B A) (forall ((C $$unsorted)) (=> (and (not (tptp.v1_xboole_0 C)) (tptp.v1_waybel_0 C A) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (not (and (tptp.r2_hidden (tptp.k1_yellow_0 A C) B) (tptp.r1_xboole_0 C B)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (tptp.v2_waybel11 B A) (forall ((C $$unsorted)) (=> (and (not (tptp.v1_xboole_0 C)) (tptp.v1_waybel_0 C A) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (=> (tptp.r1_tarski C B) (tptp.r2_hidden (tptp.k1_yellow_0 A C) B))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (tptp.v3_waybel11 B A) (forall ((C $$unsorted)) (=> (and (not (tptp.v1_xboole_0 C)) (tptp.v1_waybel_0 C A) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (not (and (tptp.r2_hidden (tptp.k1_yellow_0 A C) B) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (not (and (tptp.r2_hidden D C) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.u1_struct_0 A)) (=> (and (tptp.r2_hidden E C) (tptp.r1_orders_2 A D E)) (tptp.r2_hidden E B))))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.l1_waybel_9 A)) (= (tptp.v4_waybel11 A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (tptp.v3_pre_topc B A) (and (tptp.v1_waybel11 B A) (tptp.v13_waybel_0 B A)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v6_group_1 A) (tptp.l1_waybel_9 A)) (= (tptp.v4_waybel11 A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (tptp.v3_pre_topc B A) (tptp.v13_waybel_0 B A))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v24_waybel_0 A) (tptp.v4_waybel11 A) (tptp.l1_waybel_9 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (tptp.v4_pre_topc B A) (and (tptp.v2_waybel11 B A) (tptp.v12_waybel_0 B A))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v24_waybel_0 A) (tptp.l1_waybel_9 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (tptp.v2_waybel11 (tptp.k6_waybel_0 A B) A))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_lattice3 A) (tptp.v4_waybel11 A) (tptp.l1_waybel_9 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (= (tptp.k6_pre_topc A (tptp.k1_struct_0 A B)) (tptp.k6_waybel_0 A B)))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.v2_pre_topc A))) (=> (and _let_1 (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_lattice3 A) (tptp.v4_waybel11 A) (tptp.l1_waybel_9 A)) (and (not (tptp.v3_struct_0 A)) _let_1 (tptp.v2_t_0topsp A) (tptp.l1_pre_topc A))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v24_waybel_0 A) (tptp.v4_waybel11 A) (tptp.l1_waybel_9 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (tptp.v4_pre_topc (tptp.k6_waybel_0 A B) A))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v24_waybel_0 A) (tptp.v4_waybel11 A) (tptp.l1_waybel_9 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 B _let_1) (tptp.v3_pre_topc (tptp.k3_subset_1 _let_1 (tptp.k6_waybel_0 A B)) A)))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v24_waybel_0 A) (tptp.v4_waybel11 A) (tptp.l1_waybel_9 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (tptp.v13_waybel_0 C A) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 _let_1))) (=> (not (tptp.r2_hidden B C)) (tptp.m2_connsp_2 (tptp.k3_subset_1 _let_1 (tptp.k6_waybel_0 A B)) A C))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_lattice3 A) (tptp.v4_waybel11 A) (tptp.l1_waybel_9 A)) (forall ((B $$unsorted)) (=> (and (tptp.v13_waybel_0 B A) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (exists ((C $$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))) (= B (tptp.k6_setfam_1 _let_1 C)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (tptp.r2_hidden D C) (tptp.m2_connsp_2 D A B))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v4_waybel11 A) (tptp.l1_waybel_9 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (tptp.v3_pre_topc B A) (and (tptp.v13_waybel_0 B A) (tptp.v3_waybel11 B A))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_orders_2 B) (tptp.v7_waybel_0 B) (tptp.l1_waybel_0 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (tptp.r1_waybel11 A B C) (tptp.r3_orders_2 A C (tptp.k1_waybel11 A B))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m4_yellow_6 B A) (= (= B (tptp.k2_waybel11 A)) (forall ((C $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.v3_orders_2 C) (tptp.v6_waybel_0 C A) (tptp.v7_waybel_0 C) (tptp.l1_waybel_0 C A)) (=> (tptp.r2_hidden C (tptp.k7_yellow_6 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (= (tptp.r2_hidden (tptp.k4_tarski C D) B) (tptp.r1_waybel11 A C D)))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_orders_2 B) (tptp.v7_waybel_0 B) (tptp.l1_waybel_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.r1_waybel11 A B C) (tptp.r1_waybel_0 A B (tptp.k6_waybel_0 A D))) (tptp.r3_orders_2 A C D)))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_orders_2 B) (tptp.v7_waybel_0 B) (tptp.l1_waybel_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_waybel_0 A B (tptp.k7_waybel_0 A D)) (tptp.r1_orders_2 A D (tptp.k1_waybel11 A B))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.l1_waybel_0 B A)) (= (tptp.v8_waybel_0 B A) (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.r1_orders_2 B C D) (tptp.r3_orders_2 A (tptp.k3_waybel_0 A B C) (tptp.k3_waybel_0 A B D)))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C B _let_1) (tptp.m2_relset_1 C B _let_1)) (forall ((D $$unsorted)) (=> (and (not (tptp.v3_struct_0 D)) (tptp.v6_waybel_0 D A) (tptp.l1_waybel_0 D A)) (= (= D (tptp.k3_waybel11 A B C)) (and (= (tptp.u1_struct_0 D) B) (= (tptp.u1_waybel_0 A D) C) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.u1_struct_0 D)) (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F (tptp.u1_struct_0 D)) (= (tptp.r1_orders_2 D E F) (tptp.r1_orders_2 A (tptp.k3_waybel_0 A D E) (tptp.k3_waybel_0 A D F)))))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C B _let_1) (tptp.m2_relset_1 C B _let_1)) (=> (tptp.v1_waybel_0 (tptp.k8_yellow_2 B A C) A) (tptp.v7_waybel_0 (tptp.k3_waybel11 A B C)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k3_waybel11 A B C))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C B _let_2) (tptp.m2_relset_1 C B _let_2)) (=> (and (tptp.r1_tarski B _let_2) (tptp.v7_waybel_0 _let_1)) (tptp.r2_hidden _let_1 (tptp.k7_yellow_6 A))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v7_waybel_0 B) (tptp.v8_waybel_0 B A) (tptp.l1_waybel_0 B A)) (= (tptp.k1_waybel11 A B) (tptp.k1_waybel_2 A B)))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_orders_2 B) (tptp.v7_waybel_0 B) (tptp.v1_yellow_6 B A) (tptp.l1_waybel_0 B A)) (= (tptp.k5_yellow_6 A B) (tptp.k1_waybel11 A B)))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_orders_2 B) (tptp.v7_waybel_0 B) (tptp.v1_yellow_6 B A) (tptp.l1_waybel_0 B A)) (tptp.r1_waybel11 A B (tptp.k5_yellow_6 A B)))))) (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)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k1_struct_0 A B))) (=> (and (tptp.v6_waybel_0 C A) (tptp.l1_waybel_0 C A)) (= (= C (tptp.k4_waybel11 A B)) (and (= (tptp.u1_struct_0 C) _let_1) (= (tptp.u1_orders_2 C) (tptp.k1_tarski (tptp.k4_tarski B B))) (= (tptp.u1_waybel_0 A C) (tptp.k6_partfun1 _let_1))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_struct_0 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 (tptp.k4_waybel11 A B))) (= C B))))))) (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)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k4_waybel11 A B))) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 _let_1)) (= (tptp.k3_waybel_0 A _let_1 C) B)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_struct_0 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (= (tptp.r1_waybel_0 A (tptp.k4_waybel11 A B) C) (tptp.r2_hidden B C))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v4_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (= B (tptp.k1_waybel11 A (tptp.k4_waybel11 A B))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (tptp.r2_hidden (tptp.k4_waybel11 A B) (tptp.k7_yellow_6 A)))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (tptp.r2_hidden B (tptp.u1_pre_topc (tptp.k14_yellow_6 A (tptp.k2_waybel11 A)))) (and (tptp.v1_waybel11 B A) (tptp.v13_waybel_0 B A))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_lattice3 A) (tptp.v4_waybel11 A) (tptp.l1_waybel_9 A)) (= (tptp.g1_pre_topc (tptp.u1_struct_0 A) (tptp.u1_pre_topc A)) (tptp.k14_yellow_6 A (tptp.k2_waybel11 A))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_lattice3 A) (tptp.l1_waybel_9 A)) (=> (= (tptp.g1_pre_topc (tptp.u1_struct_0 A) (tptp.u1_pre_topc A)) (tptp.k14_yellow_6 A (tptp.k2_waybel11 A))) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (tptp.v3_pre_topc B A) (and (tptp.v1_waybel11 B A) (tptp.v13_waybel_0 B A)))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_lattice3 A) (tptp.l1_waybel_9 A)) (=> (= (tptp.g1_pre_topc (tptp.u1_struct_0 A) (tptp.u1_pre_topc A)) (tptp.k14_yellow_6 A (tptp.k2_waybel11 A))) (tptp.v4_waybel11 A)))) (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.v3_orders_2 B) (tptp.v7_waybel_0 B) (tptp.l1_waybel_0 B A)) (forall ((C $$unsorted) (D $$unsorted)) (=> (tptp.m2_yellow_6 D A B) (=> (= D (tptp.k6_yellow_6 A B C)) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.u1_struct_0 D)) (tptp.r2_hidden (tptp.k3_waybel_0 A D E) C)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.l1_orders_2 A)) (= (tptp.k5_waybel11 A) (tptp.u1_pre_topc (tptp.k14_yellow_6 A (tptp.k2_waybel11 A)))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v3_waybel_3 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_lattice3 A) (tptp.v4_waybel11 A) (tptp.l1_waybel_9 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (tptp.v3_pre_topc (tptp.k2_waybel_3 A B) A))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_lattice3 A) (tptp.l1_waybel_9 A)) (=> (= (tptp.u1_pre_topc A) (tptp.k5_waybel11 A)) (tptp.v4_waybel11 A)))) (forall ((A $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v3_waybel_3 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_lattice3 A) (tptp.v4_waybel11 A) (tptp.l1_waybel_9 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.v3_orders_2 C) (tptp.v7_waybel_0 C) (tptp.l1_waybel_0 C A)) (=> (tptp.r2_hidden C (tptp.k7_yellow_6 A)) (= (tptp.r1_waybel11 A C B) (tptp.r2_hidden B (tptp.k11_yellow_6 A C)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v3_lattice3 A) (tptp.l1_orders_2 A)) (=> (tptp.v7_yellow_6 (tptp.k2_waybel11 A) A) (tptp.v3_waybel_3 A)))) (forall ((A $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_lattice3 A) (tptp.v4_waybel11 A) (tptp.l1_waybel_9 A)) (= (tptp.v3_waybel_3 A) (= (tptp.k13_yellow_6 A) (tptp.k2_waybel11 A))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_lattice3 A) (tptp.v4_waybel11 A) (tptp.l1_waybel_9 A)) (forall ((B $$unsorted)) (=> (and (tptp.v13_waybel_0 B A) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (=> (tptp.v1_waybel_6 B A) (tptp.v3_pre_topc B A)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (tptp.v13_waybel_0 B A) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (=> (tptp.r2_hidden C B) (tptp.r1_tarski (tptp.k7_waybel_0 A C) B)))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v3_waybel_3 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_lattice3 A) (tptp.v4_waybel11 A) (tptp.l1_waybel_9 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (not (and (tptp.v3_pre_topc C A) (tptp.r2_hidden B C) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (not (and (tptp.r1_waybel_3 A D B) (tptp.r2_hidden D C))))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v3_waybel_3 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_lattice3 A) (tptp.v4_waybel11 A) (tptp.l1_waybel_9 A)) (forall ((B $$unsorted)) (=> (and (tptp.v13_waybel_0 B A) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (= (tptp.v3_pre_topc B A) (tptp.v1_waybel_6 B A)))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v3_waybel_3 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_lattice3 A) (tptp.v4_waybel11 A) (tptp.l1_waybel_9 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (= (tptp.k1_tops_1 A (tptp.k7_waybel_0 A B)) (tptp.k2_waybel_3 A B)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A) (not (tptp.v3_struct_0 B)) (tptp.v3_orders_2 B) (tptp.v7_waybel_0 B) (tptp.l1_waybel_0 B A)) (tptp.m1_subset_1 (tptp.k1_waybel11 A B) (tptp.u1_struct_0 A)))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.l1_orders_2 A)) (tptp.m4_yellow_6 (tptp.k2_waybel11 A) A))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k3_waybel11 A B C))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A) (not (tptp.v1_xboole_0 B)) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C B _let_2) (tptp.m1_relset_1 C B _let_2)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v6_waybel_0 _let_1 A) (tptp.l1_waybel_0 _let_1 A)))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k4_waybel11 A B))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_struct_0 A) (tptp.m1_subset_1 B (tptp.u1_struct_0 A))) (and (tptp.v6_waybel_0 _let_1 A) (tptp.l1_waybel_0 _let_1 A))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.l1_orders_2 A)) (tptp.m1_subset_1 (tptp.k5_waybel11 A) (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.l1_waybel_9 A)) (=> (= (tptp.u1_pre_topc A) (tptp.a_1_0_waybel11 A)) (tptp.v2_pre_topc A)))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_orders_2 B) (tptp.v7_waybel_0 B) (tptp.l1_waybel_0 B A)) (= (tptp.k1_waybel11 A B) (tptp.k1_yellow_0 A (tptp.a_2_0_waybel11 A B))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_struct_0 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.l1_waybel_0 B A)) (= (tptp.k8_yellow_2 (tptp.u1_struct_0 B) A (tptp.u1_waybel_0 A B)) (tptp.a_2_1_waybel11 A B)))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_orders_2 B) (tptp.v7_waybel_0 B) (tptp.l1_waybel_0 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (= C (tptp.a_2_2_waybel11 A B)) (and (not (tptp.v1_xboole_0 C)) (tptp.v1_waybel_0 C A))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v3_waybel_3 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_lattice3 A) (tptp.v4_waybel11 A) (tptp.l1_waybel_9 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (tptp.m1_yellow_8 (tptp.a_2_3_waybel11 A B) A B))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v3_waybel_3 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_lattice3 A) (tptp.v4_waybel11 A) (tptp.l1_waybel_9 A)) (tptp.m1_cantor_1 (tptp.a_1_1_waybel11 A) A))) (forall ((A $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v3_waybel_3 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_lattice3 A) (tptp.v4_waybel11 A) (tptp.l1_waybel_9 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (tptp.k1_tops_1 A B) (tptp.k3_tarski (tptp.a_2_4_waybel11 A B))))))) (=> (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.f2_s1_waybel11) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.f1_s1_waybel11) (= (tptp.f3_s1_waybel11 B) (tptp.f4_s1_waybel11 A B)))))) (= tptp.a_0_0_waybel11 tptp.a_0_1_waybel11)) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.l1_waybel_9 B)) (= (tptp.r2_hidden A (tptp.a_1_0_waybel11 B)) (exists ((C $$unsorted)) (and (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B))) (= A C) (tptp.v3_waybel11 C B)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.l1_orders_2 B) (not (tptp.v3_struct_0 C)) (tptp.v3_orders_2 C) (tptp.v7_waybel_0 C) (tptp.l1_waybel_0 C B)) (= (tptp.r2_hidden A (tptp.a_2_0_waybel11 B C)) (exists ((D $$unsorted)) (and (tptp.m1_subset_1 D (tptp.u1_struct_0 C)) (= A (tptp.k2_yellow_0 B (tptp.a_3_0_waybel11 B C D)))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.l1_orders_2 B) (not (tptp.v3_struct_0 C)) (tptp.v3_orders_2 C) (tptp.v7_waybel_0 C) (tptp.l1_waybel_0 C B) (tptp.m1_subset_1 D (tptp.u1_struct_0 C))) (= (tptp.r2_hidden A (tptp.a_3_0_waybel11 B C D)) (exists ((E $$unsorted)) (and (tptp.m1_subset_1 E (tptp.u1_struct_0 C)) (= A (tptp.k3_waybel_0 B C E)) (tptp.r1_orders_2 C D E)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.l1_struct_0 B) (not (tptp.v3_struct_0 C)) (tptp.l1_waybel_0 C B)) (= (tptp.r2_hidden A (tptp.a_2_1_waybel11 B C)) (exists ((D $$unsorted)) (and (tptp.m1_subset_1 D (tptp.u1_struct_0 C)) (= A (tptp.k3_waybel_0 B C D))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.v1_lattice3 B) (tptp.v2_lattice3 B) (tptp.v3_lattice3 B) (tptp.l1_orders_2 B) (not (tptp.v3_struct_0 C)) (tptp.v3_orders_2 C) (tptp.v7_waybel_0 C) (tptp.l1_waybel_0 C B)) (= (tptp.r2_hidden A (tptp.a_2_2_waybel11 B C)) (exists ((D $$unsorted)) (and (tptp.m1_subset_1 D (tptp.u1_struct_0 C)) (= A (tptp.k2_yellow_0 B (tptp.a_3_1_waybel11 B C D)))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.v1_lattice3 B) (tptp.v2_lattice3 B) (tptp.v3_lattice3 B) (tptp.l1_orders_2 B) (not (tptp.v3_struct_0 C)) (tptp.v3_orders_2 C) (tptp.v7_waybel_0 C) (tptp.l1_waybel_0 C B) (tptp.m1_subset_1 D (tptp.u1_struct_0 C))) (= (tptp.r2_hidden A (tptp.a_3_1_waybel11 B C D)) (exists ((E $$unsorted)) (and (tptp.m1_subset_1 E (tptp.u1_struct_0 C)) (= A (tptp.k3_waybel_0 B C E)) (tptp.r1_orders_2 C D E)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v2_pre_topc B) (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.v3_waybel_3 B) (tptp.v1_lattice3 B) (tptp.v2_lattice3 B) (tptp.v3_lattice3 B) (tptp.v4_waybel11 B) (tptp.l1_waybel_9 B) (tptp.m1_subset_1 C (tptp.u1_struct_0 B))) (= (tptp.r2_hidden A (tptp.a_2_3_waybel11 B C)) (exists ((D $$unsorted)) (and (tptp.m1_subset_1 D (tptp.u1_struct_0 B)) (= A (tptp.k2_waybel_3 B D)) (tptp.r1_waybel_3 B D C)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v2_pre_topc B) (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.v3_waybel_3 B) (tptp.v1_lattice3 B) (tptp.v2_lattice3 B) (tptp.v3_lattice3 B) (tptp.v4_waybel11 B) (tptp.l1_waybel_9 B)) (= (tptp.r2_hidden A (tptp.a_1_1_waybel11 B)) (exists ((C $$unsorted)) (and (tptp.m1_subset_1 C (tptp.u1_struct_0 B)) (= A (tptp.k2_waybel_3 B C))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v2_pre_topc B) (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.v3_waybel_3 B) (tptp.v1_lattice3 B) (tptp.v2_lattice3 B) (tptp.v3_lattice3 B) (tptp.v4_waybel11 B) (tptp.l1_waybel_9 B) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B)))) (= (tptp.r2_hidden A (tptp.a_2_4_waybel11 B C)) (exists ((D $$unsorted)) (let ((_let_1 (tptp.k2_waybel_3 B D))) (and (tptp.m1_subset_1 D (tptp.u1_struct_0 B)) (= A _let_1) (tptp.r1_tarski _let_1 C))))))) (forall ((A $$unsorted)) (= (tptp.r2_hidden A tptp.a_0_0_waybel11) (exists ((B $$unsorted)) (and (tptp.m1_subset_1 B tptp.f1_s1_waybel11) (= A (tptp.f3_s1_waybel11 B)) (tptp.p1_s1_waybel11 B))))) (forall ((A $$unsorted)) (= (tptp.r2_hidden A tptp.a_0_1_waybel11) (exists ((B $$unsorted) (C $$unsorted)) (and (tptp.m1_subset_1 B tptp.f2_s1_waybel11) (tptp.m1_subset_1 C tptp.f1_s1_waybel11) (= A (tptp.f4_s1_waybel11 B C)) (tptp.p1_s1_waybel11 C))))) (exists ((A $$unsorted)) (and (tptp.l1_struct_0 A) (tptp.v3_struct_0 A))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (tptp.v3_struct_0 A) (tptp.l1_struct_0 A)) (and (tptp.v1_xboole_0 _let_1) (tptp.v1_finset_1 _let_1))))) (forall ((A $$unsorted)) (=> (and (tptp.v3_struct_0 A) (tptp.l1_struct_0 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (and (tptp.v1_xboole_0 B) (tptp.v1_finset_1 B)))))) (forall ((A $$unsorted)) (=> (tptp.v1_finset_1 A) (tptp.v1_card_4 A))) (exists ((A $$unsorted)) (and (tptp.v1_xboole_0 A) (tptp.v1_finset_1 A) (tptp.v1_card_4 A))) (forall ((A $$unsorted)) (=> (tptp.l1_struct_0 A) (exists ((B $$unsorted)) (and (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (tptp.v1_xboole_0 B) (tptp.v1_finset_1 B) (tptp.v1_card_4 B))))) (exists ((A $$unsorted)) (and (not (tptp.v1_xboole_0 A)) (tptp.v1_finset_1 A) (tptp.v1_card_4 A))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (exists ((B $$unsorted)) (and (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (not (tptp.v1_xboole_0 B)) (tptp.v1_finset_1 B) (tptp.v1_card_4 B))))) (exists ((A $$unsorted)) (and (not (tptp.v1_finset_1 A)) (tptp.v1_card_4 A))) (forall ((A $$unsorted)) (=> (tptp.l1_struct_0 A) (exists ((B $$unsorted)) (and (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (tptp.v1_xboole_0 B) (tptp.v1_finset_1 B) (tptp.v1_card_4 B))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_waybel_6 B A) (tptp.v12_waybel_0 B A)) (tptp.v2_waybel_0 B A)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v4_orders_2 A) (tptp.v3_waybel_3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (tptp.v12_waybel_0 B A) (tptp.v1_waybel_6 B A)))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.k3_subset_1 _let_1 (tptp.k6_waybel_0 A B)))) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v3_waybel_3 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 A) (tptp.m1_subset_1 B _let_1)) (and (tptp.v1_waybel_6 _let_2 A) (tptp.v13_waybel_0 _let_2 A)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 A) (not (tptp.v1_xboole_0 B)) (tptp.v2_waybel_0 B A) (tptp.v13_waybel_0 B A) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (exists ((C $$unsorted)) (and (tptp.m1_waybel12 C A B) (not (tptp.v1_xboole_0 C)))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v2_yellow_0 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 A)) (tptp.v2_waybel12 (tptp.k4_yellow_0 A) A))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v2_yellow_0 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 A)) (exists ((B $$unsorted)) (and (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (tptp.v2_waybel12 B A))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v2_yellow_0 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 A)) (exists ((B $$unsorted)) (and (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (not (tptp.v1_xboole_0 B)) (tptp.v1_finset_1 B) (tptp.v1_card_4 B) (tptp.v3_waybel12 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.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)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (= (tptp.v1_waybel12 B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (tptp.r2_hidden C B) (tptp.v1_tops_1 C A))))))))) true (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.r1_tarski (tptp.k1_card_1 A) (tptp.k1_card_1 B)) (tptp.v1_card_4 B)) (tptp.v1_card_4 A))) (forall ((A $$unsorted)) (=> (and (not (tptp.v1_finset_1 A)) (tptp.v1_card_4 A)) (tptp.r2_tarski tptp.k5_numbers A))) (forall ((A $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v1_card_4 A)) (exists ((B $$unsorted)) (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B tptp.k5_numbers A) (tptp.m2_relset_1 B tptp.k5_numbers A) (= (tptp.k2_relat_1 B) A))))) true true (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (tptp.r1_yellow_4 A B C) (tptp.r1_tarski (tptp.k4_waybel_0 A B) (tptp.k4_waybel_0 A C))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_orders_2 A) (tptp.l1_orders_2 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.r2_yellow_4 A C B) (tptp.r1_tarski (tptp.k5_waybel_0 A B) (tptp.k5_waybel_0 A C))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.v1_finset_1 B) (tptp.v2_waybel_0 B A) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (=> (tptp.r2_yellow_0 A B) (tptp.r2_hidden (tptp.k2_yellow_0 A B) B)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_orders_2 A) (tptp.v1_yellow_0 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.v12_waybel_0 B A) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (tptp.r2_hidden (tptp.k3_yellow_0 A) B))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_orders_2 A) (tptp.v1_yellow_0 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (tptp.r2_hidden (tptp.k3_yellow_0 A) (tptp.k4_waybel_0 A B)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_orders_2 A) (tptp.v2_yellow_0 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.v13_waybel_0 B A) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (tptp.r2_hidden (tptp.k4_yellow_0 A) B))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_orders_2 A) (tptp.v2_yellow_0 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (tptp.r2_hidden (tptp.k4_yellow_0 A) (tptp.k5_waybel_0 A B)))))) (forall ((A $$unsorted)) (=> (and (tptp.v4_orders_2 A) (tptp.v1_yellow_0 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k1_struct_0 A (tptp.k3_yellow_0 A)))) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (tptp.r1_tarski (tptp.k4_yellow_4 A B _let_1) _let_1)))))) (forall ((A $$unsorted)) (=> (and (tptp.v4_orders_2 A) (tptp.v1_yellow_0 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k1_struct_0 A (tptp.k3_yellow_0 A)))) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (= (tptp.k4_yellow_4 A B _let_1) _let_1)))))) (forall ((A $$unsorted)) (=> (and (tptp.v4_orders_2 A) (tptp.v2_yellow_0 A) (tptp.v1_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k1_struct_0 A (tptp.k4_yellow_0 A)))) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (tptp.r1_tarski (tptp.k2_yellow_4 A B _let_1) _let_1)))))) (forall ((A $$unsorted)) (=> (and (tptp.v4_orders_2 A) (tptp.v2_yellow_0 A) (tptp.v1_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k1_struct_0 A (tptp.k4_yellow_0 A)))) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (= (tptp.k2_yellow_4 A B _let_1) _let_1)))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v2_yellow_0 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (tptp.k4_yellow_4 A (tptp.k1_struct_0 A (tptp.k4_yellow_0 A)) B) B))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_yellow_0 A) (tptp.v1_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (tptp.k2_yellow_4 A (tptp.k1_struct_0 A (tptp.k3_yellow_0 A)) B) B))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (tptp.r1_tarski B C) (and (tptp.r3_yellow_4 A B C) (tptp.r4_yellow_4 A C B))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 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)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (=> (tptp.r1_orders_2 A C D) (tptp.r2_yellow_4 A (tptp.k4_yellow_4 A (tptp.k1_struct_0 A C) B) (tptp.k4_yellow_4 A (tptp.k1_struct_0 A D) B))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.l1_orders_2 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)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (=> (tptp.r1_orders_2 A C D) (tptp.r1_yellow_4 A (tptp.k2_yellow_4 A (tptp.k1_struct_0 A C) B) (tptp.k2_yellow_4 A (tptp.k1_struct_0 A D) B))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 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 $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (and (tptp.r2_yellow_4 A D C) (tptp.v13_waybel_0 B A) (tptp.r1_tarski D B)) (tptp.r1_tarski C B)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 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 $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (and (tptp.r1_yellow_4 A C D) (tptp.v12_waybel_0 B A) (tptp.r1_tarski D B)) (tptp.r1_tarski C B)))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (tptp.v2_waybel_0 B A) (tptp.v13_waybel_0 B A) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (= (tptp.k4_yellow_4 A B B) B))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_waybel_0 B A) (tptp.v12_waybel_0 B A) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (= (tptp.k2_yellow_4 A B B) B))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_waybel_6 B A) (tptp.v12_waybel_0 B A)) (tptp.v2_waybel_0 B A)))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 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)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (not (and (tptp.r2_hidden C B) (tptp.r2_hidden D B) (not (tptp.r3_orders_2 A C D)) (not (tptp.r3_orders_2 A D C)))))))) (forall ((C $$unsorted)) (=> (and (not (tptp.v1_xboole_0 C)) (tptp.v1_finset_1 C) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 B))) (tptp.r2_hidden (tptp.k2_yellow_0 A C) C)))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (=> (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (not (and (tptp.r2_hidden C B) (tptp.r2_hidden D B) (not (tptp.r3_orders_2 A C D)) (not (tptp.r3_orders_2 A D C)))))))) (forall ((C $$unsorted)) (=> (and (not (tptp.v1_xboole_0 C)) (tptp.v1_finset_1 C) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 B))) (tptp.r2_hidden (tptp.k1_yellow_0 A C) C)))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.v2_waybel_0 B A) (tptp.v13_waybel_0 B A) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (tptp.m1_waybel12 C A B) (= B (tptp.k5_waybel_0 A (tptp.k13_waybel_0 A C)))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (=> (and (not (tptp.v1_xboole_0 C)) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (=> (tptp.r4_yellow_4 A C B) (tptp.r4_yellow_4 A (tptp.k13_waybel_0 A C) (tptp.k13_waybel_0 A B))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.v2_waybel_0 B A) (tptp.v13_waybel_0 B A) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (forall ((C $$unsorted)) (=> (tptp.m1_waybel12 C A B) (forall ((D $$unsorted)) (=> (and (not (tptp.v1_xboole_0 D)) (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (=> (and (tptp.r4_yellow_4 A D C) (tptp.r4_yellow_4 A B D)) (tptp.m1_waybel12 D A B)))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_yellow_0 A) (tptp.v3_waybel_3 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_waybel_6 B A) (tptp.v13_waybel_0 B A) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (forall ((C $$unsorted)) (=> (and (not (tptp.v1_xboole_0 C)) (tptp.v2_waybel_0 C A) (tptp.v13_waybel_0 C A) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (not (and (tptp.r1_tarski (tptp.k4_yellow_4 A B C) B) (tptp.r2_hidden D B) (exists ((E $$unsorted)) (and (not (tptp.v1_xboole_0 E)) (tptp.m1_waybel12 E A C) (tptp.v1_card_4 E))) (forall ((E $$unsorted)) (=> (and (not (tptp.v1_xboole_0 E)) (tptp.v1_waybel_6 E A) (tptp.v2_waybel_0 E A) (tptp.v13_waybel_0 E A) (tptp.m1_subset_1 E (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (not (and (tptp.r1_tarski E B) (tptp.r2_hidden D E) (tptp.r1_tarski C E))))))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_yellow_0 A) (tptp.v3_waybel_3 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_waybel_6 B A) (tptp.v13_waybel_0 B A) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (forall ((C $$unsorted)) (=> (and (not (tptp.v1_xboole_0 C)) (tptp.v1_card_4 C) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (not (and (tptp.r1_tarski (tptp.k4_yellow_4 A B C) B) (tptp.r2_hidden D B) (forall ((E $$unsorted)) (=> (and (not (tptp.v1_xboole_0 E)) (tptp.v1_waybel_6 E A) (tptp.v2_waybel_0 E A) (tptp.v13_waybel_0 E A) (tptp.m1_subset_1 E (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (not (and (tptp.r1_tarski (tptp.k4_yellow_4 A (tptp.k1_struct_0 A D) C) E) (tptp.r1_tarski E B) (tptp.r2_hidden D E))))))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_yellow_0 A) (tptp.v3_waybel_3 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_waybel_6 B A) (tptp.v13_waybel_0 B A) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (forall ((C $$unsorted)) (=> (and (not (tptp.v1_xboole_0 C)) (tptp.v1_card_4 C) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.u1_struct_0 A)) (not (and (tptp.r1_tarski (tptp.k4_yellow_4 A B C) B) (tptp.r2_hidden E B) (not (tptp.r2_hidden D B)) (forall ((F $$unsorted)) (=> (and (tptp.v2_waybel_6 F A) (tptp.m1_subset_1 F (tptp.u1_struct_0 A))) (not (and (tptp.r3_orders_2 A D F) (not (tptp.r2_hidden F (tptp.k5_waybel_0 A (tptp.k4_yellow_4 A (tptp.k1_struct_0 A E) C)))))))))))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_yellow_0 A) (tptp.v3_waybel_3 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (and (not (tptp.v1_xboole_0 C)) (tptp.v1_card_4 C) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (=> (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.u1_struct_0 A)) (not (and (not (tptp.r3_orders_2 A E B)) (tptp.r2_hidden D C) (tptp.r3_orders_2 A (tptp.k12_lattice3 A E D) B))))))) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (not (and (not (tptp.r3_orders_2 A D B)) (forall ((E $$unsorted)) (=> (and (tptp.v2_waybel_6 E A) (tptp.m1_subset_1 E (tptp.u1_struct_0 A))) (not (and (tptp.r3_orders_2 A B E) (not (tptp.r2_hidden E (tptp.k5_waybel_0 A (tptp.k4_yellow_4 A (tptp.k1_struct_0 A D) C))))))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (= (tptp.v2_waybel12 B A) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k3_yellow_0 A))) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (not (and (not (= C _let_1)) (= (tptp.k11_lattice3 A B C) _let_1))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v3_yellow_0 A) (tptp.v2_lattice3 A) (not (tptp.v3_realset2 A)) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (not (and (tptp.v2_waybel12 B A) (= B (tptp.k3_yellow_0 A)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (tptp.v3_waybel12 B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (=> (tptp.r2_hidden C B) (tptp.v2_waybel12 C A))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v2_yellow_0 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 A)) (tptp.v3_waybel12 (tptp.k1_struct_0 A (tptp.k4_yellow_0 A)) A))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_yellow_0 A) (tptp.v3_waybel_3 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.v1_card_4 B) (tptp.v3_waybel12 B A) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (not (and (not (= C (tptp.k3_yellow_0 A))) (forall ((D $$unsorted)) (=> (and (tptp.v2_waybel_6 D A) (tptp.m1_subset_1 D (tptp.u1_struct_0 A))) (not (and (not (= D (tptp.k4_yellow_0 A))) (not (tptp.r2_hidden D (tptp.k5_waybel_0 A (tptp.k4_yellow_4 A (tptp.k1_struct_0 A 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)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 (tptp.k2_yellow_1 (tptp.u1_pre_topc A)))) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 _let_1)) (=> (and (= B C) (tptp.v2_yellow_8 (tptp.k3_subset_1 _let_1 C) A)) (tptp.v2_waybel_6 B (tptp.k2_yellow_1 (tptp.u1_pre_topc A))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 (tptp.k2_yellow_1 (tptp.u1_pre_topc A)))) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.k2_yellow_1 (tptp.u1_pre_topc A)))) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 _let_1)) (=> (= B C) (or (= B (tptp.k4_yellow_0 _let_2)) (= (tptp.v2_waybel_6 B _let_2) (tptp.v2_yellow_8 (tptp.k3_subset_1 _let_1 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.u1_struct_0 (tptp.k2_yellow_1 (tptp.u1_pre_topc A)))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (= B C) (= (tptp.v2_waybel12 B (tptp.k2_yellow_1 (tptp.u1_pre_topc A))) (tptp.v1_tops_3 C A))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (=> (tptp.v6_waybel_3 A) (forall ((B $$unsorted)) (=> (and (tptp.v1_card_4 B) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))))) (=> (and (tptp.v1_waybel12 B A) (tptp.v1_tops_2 B A)) (or (tptp.v1_xboole_0 B) (forall ((C $$unsorted)) (=> (and (not (tptp.v1_xboole_0 C)) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (not (and (tptp.v3_pre_topc C A) (forall ((D $$unsorted)) (=> (and (tptp.v2_yellow_8 D A) (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (exists ((E $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (and (tptp.m1_subset_1 E _let_1) (tptp.r2_hidden E B) (tptp.r1_xboole_0 (tptp.k3_finsub_1 _let_1 D C) E))))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (= (tptp.v1_yellow_8 A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (not (and (tptp.v1_card_4 B) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (tptp.r2_hidden C B) (and (tptp.v3_pre_topc C A) (tptp.v1_tops_1 C A))))) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 _let_1)) (not (and (= C (tptp.k8_setfam_1 _let_1 B)) (tptp.v1_tops_1 C A))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (=> (and (tptp.v3_yellow_8 A) (tptp.v6_waybel_3 A)) (tptp.v1_yellow_8 A)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 A) (not (tptp.v1_xboole_0 B)) (tptp.v2_waybel_0 B A) (tptp.v13_waybel_0 B A) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (forall ((C $$unsorted)) (=> (tptp.m1_waybel12 C A B) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 A) (not (tptp.v1_xboole_0 B)) (tptp.v2_waybel_0 B A) (tptp.v13_waybel_0 B A) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (exists ((C $$unsorted)) (tptp.m1_waybel12 C A B)))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v2_yellow_0 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (not (tptp.v1_xboole_0 (tptp.a_2_0_waybel12 A B))))))) (forall ((A $$unsorted)) (=> (and (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (let ((_let_2 (tptp.a_2_1_waybel12 A B))) (=> (tptp.m1_subset_1 B _let_1) (and (tptp.v2_waybel_0 _let_2 A) (tptp.m1_subset_1 _let_2 _let_1)))))))) (forall ((A $$unsorted)) (=> (and (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (let ((_let_2 (tptp.a_2_2_waybel12 A B))) (=> (and (tptp.v13_waybel_0 B A) (tptp.m1_subset_1 B _let_1)) (and (tptp.v13_waybel_0 _let_2 A) (tptp.m1_subset_1 _let_2 _let_1)))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 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))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C tptp.k5_numbers _let_1) (tptp.m2_relset_1 C tptp.k5_numbers _let_1)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D tptp.k5_numbers _let_1) (tptp.m2_relset_1 D tptp.k5_numbers _let_1)) (=> (and (= (tptp.k8_yellow_2 tptp.k5_numbers A C) B) (forall ((E $$unsorted)) (=> (tptp.m2_subset_1 E tptp.k1_numbers tptp.k5_numbers) (= (tptp.k7_yellow_2 tptp.k5_numbers A D E) (tptp.k2_yellow_0 A (tptp.a_3_0_waybel12 A C E)))))) (tptp.r4_yellow_4 A (tptp.k8_yellow_2 tptp.k5_numbers A D) B)))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.v2_waybel_0 B A) (tptp.v13_waybel_0 B A) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (forall ((C $$unsorted)) (=> (tptp.m1_waybel12 C A B) (forall ((D $$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)) (forall ((E $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 E) (tptp.v1_funct_2 E tptp.k5_numbers _let_1) (tptp.m2_relset_1 E tptp.k5_numbers _let_1)) (=> (and (= (tptp.k8_yellow_2 tptp.k5_numbers A D) C) (forall ((F $$unsorted)) (=> (tptp.m2_subset_1 F tptp.k1_numbers tptp.k5_numbers) (= (tptp.k7_yellow_2 tptp.k5_numbers A E F) (tptp.k2_yellow_0 A (tptp.a_3_0_waybel12 A D F)))))) (tptp.m1_waybel12 (tptp.k8_yellow_2 tptp.k5_numbers A E) A B)))))))))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.v2_yellow_0 B) (tptp.v2_lattice3 B) (tptp.l1_orders_2 B) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B)))) (= (tptp.r2_hidden A (tptp.a_2_0_waybel12 B C)) (exists ((D $$unsorted)) (and (tptp.m1_subset_1 D (tptp.u1_struct_0 B)) (= A D) (tptp.r1_tarski (tptp.k4_yellow_4 B C (tptp.k1_struct_0 B D)) C)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.v2_lattice3 B) (tptp.l1_orders_2 B) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B)))) (= (tptp.r2_hidden A (tptp.a_2_1_waybel12 B C)) (exists ((D $$unsorted)) (and (tptp.m1_subset_1 D (tptp.u1_struct_0 B)) (= A D) (tptp.r1_tarski (tptp.k4_yellow_4 B C (tptp.k1_struct_0 B D)) C)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.v2_lattice3 B) (tptp.l1_orders_2 B) (tptp.v13_waybel_0 C B) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B)))) (= (tptp.r2_hidden A (tptp.a_2_2_waybel12 B C)) (exists ((D $$unsorted)) (and (tptp.m1_subset_1 D (tptp.u1_struct_0 B)) (= A D) (tptp.r1_tarski (tptp.k4_yellow_4 B C (tptp.k1_struct_0 B D)) C)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (=> (and (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.v2_lattice3 B) (tptp.l1_orders_2 B) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C tptp.k5_numbers _let_1) (tptp.m2_relset_1 C tptp.k5_numbers _let_1) (tptp.m2_subset_1 D tptp.k1_numbers tptp.k5_numbers)) (= (tptp.r2_hidden A (tptp.a_3_0_waybel12 B C D)) (exists ((E $$unsorted)) (and (tptp.m2_subset_1 E tptp.k1_numbers tptp.k5_numbers) (= A (tptp.k7_yellow_2 tptp.k5_numbers B C E)) (tptp.r1_xreal_0 E D))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.l1_orders_2 A)) (exists ((B $$unsorted)) (and (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (not (tptp.v1_xboole_0 B)) (tptp.v1_waybel_0 B A) (tptp.v12_waybel_0 B A) (tptp.v14_waybel_0 B A))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_orders_2 A) (tptp.l1_orders_2 A) (not (tptp.v3_struct_0 B)) (tptp.v4_orders_2 B) (tptp.l1_orders_2 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (let ((_let_3 (tptp.v1_funct_2 C _let_2 _let_1))) (let ((_let_4 (tptp.v1_funct_1 C))) (=> (tptp.m1_relset_1 C _let_2 _let_1) (=> (and _let_4 _let_3 (tptp.v23_waybel_0 C A B)) (and (not (tptp.v1_xboole_0 C)) _let_4 _let_3 (tptp.v1_partfun1 C _let_2 _let_1) (tptp.v17_waybel_0 C A B) (tptp.v18_waybel_0 C A B) (tptp.v19_waybel_0 C A B) (tptp.v20_waybel_0 C A B) (tptp.v21_waybel_0 C A B) (tptp.v22_waybel_0 C A B))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (=> (tptp.r3_orders_2 A B C) (tptp.r1_tarski (tptp.k2_waybel_8 A B) (tptp.k2_waybel_8 A C))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (tptp.m1_subset_1 (tptp.k2_waybel_8 A B) (tptp.k1_zfmisc_1 (tptp.u1_struct_0 (tptp.k1_waybel_8 A)))))))) (forall ((A $$unsorted)) (=> (tptp.l1_orders_2 A) (forall ((B $$unsorted)) (=> (tptp.m1_yellow_0 B A) (forall ((C $$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))))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v1_lattice3 A) (tptp.l1_orders_2 A)) (and (not (tptp.v1_xboole_0 _let_1)) (tptp.v1_waybel_0 _let_1 A) (tptp.v12_waybel_0 _let_1 A) (tptp.m1_subset_1 _let_1 (tptp.k1_zfmisc_1 _let_1)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_yellow_0 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_orders_2 B) (tptp.v4_orders_2 B) (tptp.l1_orders_2 B)) (=> (and (= (tptp.g1_orders_2 (tptp.u1_struct_0 A) (tptp.u1_orders_2 A)) (tptp.g1_orders_2 (tptp.u1_struct_0 B) (tptp.u1_orders_2 B))) (tptp.v24_waybel_0 A)) (= (tptp.u1_struct_0 (tptp.k1_waybel_8 A)) (tptp.u1_struct_0 (tptp.k1_waybel_8 B)))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v1_yellow_0 A) (tptp.v2_waybel_8 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v4_yellow_0 B A) (tptp.v7_yellow_0 B A) (tptp.v4_waybel_0 B A) (tptp.m1_yellow_0 B A)) (tptp.v2_waybel_8 B))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k3_yellow_1 (tptp.u1_struct_0 A)))) (let ((_let_2 (tptp.k2_yellow_1 (tptp.k8_waybel_0 A)))) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v1_yellow_0 A) (tptp.l1_orders_2 A)) (and (not (tptp.v3_struct_0 _let_2)) (tptp.v4_yellow_0 _let_2 _let_1) (tptp.v7_yellow_0 _let_2 _let_1) (tptp.v4_waybel_0 _let_2 _let_1) (tptp.m1_yellow_0 _let_2 _let_1)))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v1_yellow_0 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k2_yellow_1 (tptp.k8_waybel_0 A)))) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.v1_waybel_0 B _let_1) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 _let_1)))) (= (tptp.k1_yellow_0 _let_1 B) (tptp.k3_tarski B))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v1_yellow_0 A) (tptp.l1_orders_2 A)) (tptp.v2_waybel_8 (tptp.k2_yellow_1 (tptp.k8_waybel_0 A))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v1_yellow_0 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k2_yellow_1 (tptp.k8_waybel_0 A)))) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 _let_1)) (= (tptp.v1_waybel_3 B _let_1) (and (not (tptp.v1_xboole_0 B)) (tptp.v1_waybel_0 B A) (tptp.v12_waybel_0 B A) (tptp.v14_waybel_0 B A) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v1_yellow_0 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k2_yellow_1 (tptp.k8_waybel_0 A)))) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 _let_1)) (= (tptp.v1_waybel_3 B _let_1) (exists ((C $$unsorted)) (and (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= B (tptp.k6_waybel_0 A C)))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v1_yellow_0 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k1_waybel_8 (tptp.k2_yellow_1 (tptp.k8_waybel_0 A))))) (let ((_let_2 (tptp.u1_struct_0 _let_1))) (let ((_let_3 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_3 _let_2) (tptp.m2_relset_1 B _let_3 _let_2)) (=> (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (tptp.k1_waybel_0 A (tptp.k1_waybel_8 (tptp.k2_yellow_1 (tptp.k8_waybel_0 A))) B C) (tptp.k6_waybel_0 A C)))) (tptp.v23_waybel_0 B A _let_1))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v1_yellow_0 A) (tptp.l1_orders_2 A)) (tptp.v3_waybel_8 (tptp.k2_yellow_1 (tptp.k8_waybel_0 A))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k1_waybel_8 A))) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v1_yellow_0 A) (tptp.l1_orders_2 A)) (and (tptp.v2_orders_2 _let_1) (tptp.v3_orders_2 _let_1) (tptp.v4_orders_2 _let_1) (tptp.v1_lattice3 _let_1) (tptp.v1_yellow_0 _let_1) (tptp.l1_orders_2 _let_1))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v1_yellow_0 A) (tptp.v2_waybel_8 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k2_yellow_1 (tptp.k8_waybel_0 (tptp.k1_waybel_8 A))))) (let ((_let_2 (tptp.u1_struct_0 _let_1))) (let ((_let_3 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_3 _let_2) (tptp.m2_relset_1 B _let_3 _let_2)) (=> (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (tptp.k1_waybel_0 A (tptp.k2_yellow_1 (tptp.k8_waybel_0 (tptp.k1_waybel_8 A))) B C) (tptp.k2_waybel_8 A C)))) (tptp.v23_waybel_0 B A _let_1))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v1_yellow_0 A) (tptp.v2_waybel_8 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k1_waybel_8 A))) (let ((_let_2 (tptp.k2_waybel_8 A B))) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (= (and (not (tptp.v1_xboole_0 _let_2)) (tptp.v1_waybel_0 _let_2 _let_1) (tptp.v12_waybel_0 _let_2 _let_1) (tptp.v14_waybel_0 _let_2 _let_1) (tptp.m1_subset_1 _let_2 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 _let_1)))) (tptp.v1_waybel_3 B A)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.l1_orders_2 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.u1_struct_0 A)) (forall ((E $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 E) (tptp.v1_funct_2 E _let_2 _let_1) (tptp.m2_relset_1 E _let_2 _let_1)) (=> (tptp.v23_waybel_0 E A B) (= (tptp.r1_lattice3 A C D) (tptp.r1_lattice3 B (tptp.k4_pre_topc A B E C) (tptp.k1_waybel_0 A B E D)))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.l1_orders_2 B)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (forall ((E $$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.m2_relset_1 E _let_2 _let_1)) (=> (tptp.v23_waybel_0 E A B) (= (tptp.r2_lattice3 A C D) (tptp.r2_lattice3 B (tptp.k4_pre_topc A B E C) (tptp.k1_waybel_0 A B E D)))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v4_orders_2 B) (tptp.l1_orders_2 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.m2_relset_1 C _let_2 _let_1)) (=> (tptp.v23_waybel_0 C A B) (and (tptp.v17_waybel_0 C A B) (tptp.v18_waybel_0 C A B))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.l1_orders_2 B)) (forall ((C $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.v3_orders_2 C) (tptp.v4_orders_2 C) (tptp.l1_orders_2 C)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D _let_2 _let_1) (tptp.m2_relset_1 D _let_2 _let_1)) (not (and (tptp.v17_waybel_0 D A B) (tptp.v4_yellow_0 B C) (tptp.v7_yellow_0 B C) (tptp.m1_yellow_0 B C) (tptp.v3_lattice3 C) (forall ((E $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 C))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (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 (= D E) (tptp.v17_waybel_0 E A C))))))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.l1_orders_2 B)) (forall ((C $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.v3_orders_2 C) (tptp.v4_orders_2 C) (tptp.l1_orders_2 C)) (forall ((D $$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)) (not (and (tptp.v5_orders_3 D A B) (tptp.v22_waybel_0 D A B) (tptp.v4_yellow_0 B C) (tptp.v4_waybel_0 B C) (tptp.m1_yellow_0 B C) (tptp.v3_lattice3 C) (forall ((E $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 C))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 E) (tptp.v1_funct_2 E _let_2 _let_1) (tptp.m2_relset_1 E _let_2 _let_1)) (not (and (= D E) (tptp.v22_waybel_0 E A C))))))))))))))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k1_waybel_8 A))) (let ((_let_2 (tptp.k3_yellow_1 (tptp.u1_struct_0 _let_1)))) (let ((_let_3 (tptp.k2_yellow_1 (tptp.k8_waybel_0 _let_1)))) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v1_yellow_0 A) (tptp.l1_orders_2 A)) (and (not (tptp.v3_struct_0 _let_3)) (tptp.v4_yellow_0 _let_3 _let_2) (tptp.v7_yellow_0 _let_3 _let_2) (tptp.v4_waybel_0 _let_3 _let_2) (tptp.m1_yellow_0 _let_3 _let_2))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v1_yellow_0 A) (tptp.v2_waybel_8 A) (tptp.l1_orders_2 A)) (exists ((B $$unsorted)) (let ((_let_1 (tptp.k3_yellow_1 (tptp.u1_struct_0 (tptp.k1_waybel_8 A))))) (let ((_let_2 (tptp.u1_struct_0 _let_1))) (let ((_let_3 (tptp.u1_struct_0 A))) (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_3 _let_2) (tptp.m2_relset_1 B _let_3 _let_2) (tptp.v17_waybel_0 B A _let_1) (tptp.v22_waybel_0 B A _let_1) (tptp.v2_funct_1 B) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (tptp.k1_waybel_0 A (tptp.k3_yellow_1 (tptp.u1_struct_0 (tptp.k1_waybel_8 A))) B C) (tptp.k2_waybel_8 A C))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k5_yellow_1 A B))) (=> (and (tptp.v1_yellow_1 B) (tptp.v4_waybel_3 B) (tptp.v5_waybel_3 B) (tptp.m1_pboole B A)) (=> (forall ((C $$unsorted)) (let ((_let_1 (tptp.k6_waybel_3 A B C))) (=> (tptp.m1_subset_1 C A) (and (tptp.v2_orders_2 _let_1) (tptp.v3_orders_2 _let_1) (tptp.v4_orders_2 _let_1) (tptp.v1_lattice3 _let_1) (tptp.v2_lattice3 _let_1) (tptp.v1_yellow_0 _let_1) (tptp.v2_waybel_8 _let_1) (tptp.l1_orders_2 _let_1))))) (and (tptp.v2_orders_2 _let_1) (tptp.v3_orders_2 _let_1) (tptp.v4_orders_2 _let_1) (tptp.v1_lattice3 _let_1) (tptp.v2_lattice3 _let_1) (tptp.v1_yellow_0 _let_1) (tptp.v2_waybel_8 _let_1) (tptp.l1_orders_2 _let_1)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.l1_orders_2 B)) (=> (= (tptp.g1_orders_2 (tptp.u1_struct_0 A) (tptp.u1_orders_2 A)) (tptp.g1_orders_2 (tptp.u1_struct_0 B) (tptp.u1_orders_2 B))) (tptp.r5_waybel_1 A B)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v24_waybel_0 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.v24_waybel_0 B) (tptp.l1_orders_2 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.m2_relset_1 C _let_2 _let_1)) (=> (tptp.v23_waybel_0 C A B) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.u1_struct_0 A)) (= (tptp.r1_waybel_3 A D E) (tptp.r1_waybel_3 B (tptp.k1_waybel_0 A B C D) (tptp.k1_waybel_0 A B C E)))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v24_waybel_0 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.v24_waybel_0 B) (tptp.l1_orders_2 B)) (forall ((C $$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.v23_waybel_0 C A B) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (= (tptp.v1_waybel_3 D A) (tptp.v1_waybel_3 (tptp.k1_waybel_0 A B C D) B))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v24_waybel_0 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.v24_waybel_0 B) (tptp.l1_orders_2 B)) (forall ((C $$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.v23_waybel_0 C A B) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (= (tptp.k4_pre_topc A B C (tptp.k2_waybel_8 A D)) (tptp.k2_waybel_8 B (tptp.k1_waybel_0 A B C D)))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.l1_orders_2 B)) (=> (and (tptp.r5_waybel_1 A B) (tptp.v24_waybel_0 A)) (tptp.v24_waybel_0 B)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.l1_orders_2 B)) (=> (and (tptp.r5_waybel_1 A B) (tptp.v3_lattice3 A) (tptp.v1_waybel_8 A)) (tptp.v1_waybel_8 B)))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.v1_lattice3 B) (tptp.l1_orders_2 B)) (=> (and (tptp.r5_waybel_1 A B) (tptp.v1_yellow_0 A) (tptp.v2_waybel_8 A)) (tptp.v2_waybel_8 B)))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k2_yellow_1 (tptp.k8_waybel_0 A)))) (let ((_let_2 (tptp.k3_yellow_2 A))) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v1_yellow_0 A) (tptp.v3_waybel_3 A) (tptp.l1_orders_2 A)) (and (tptp.v17_waybel_0 _let_2 _let_1 A) (tptp.v18_waybel_0 _let_2 _let_1 A)))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.v2_waybel_8 A))) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v1_yellow_0 A) (tptp.l1_orders_2 A)) (and (not (and _let_1 (forall ((B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k3_yellow_1 B))) (=> (and (tptp.v4_yellow_0 C _let_1) (tptp.m1_yellow_0 C _let_1)) (not (and (tptp.v7_yellow_0 C _let_1) (tptp.v4_waybel_0 C _let_1) (tptp.r5_waybel_1 A C)))))))))) (=> (exists ((B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k3_yellow_1 B))) (and (tptp.v4_yellow_0 C _let_1) (tptp.m1_yellow_0 C _let_1) (tptp.v7_yellow_0 C _let_1) (tptp.v4_waybel_0 C _let_1) (tptp.r5_waybel_1 A C)))) _let_1))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.v2_waybel_8 A))) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v1_yellow_0 A) (tptp.l1_orders_2 A)) (and (not (and _let_1 (forall ((B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k3_yellow_1 B))) (let ((_let_2 (tptp.u1_struct_0 _let_1))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_2) (tptp.v7_waybel_1 C _let_1) (tptp.m2_relset_1 C _let_2 _let_2)) (not (and (tptp.v22_waybel_0 C _let_1 _let_1) (tptp.r5_waybel_1 A (tptp.k2_yellow_2 _let_1 _let_1 C)))))))))))) (=> (exists ((B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k3_yellow_1 B))) (let ((_let_2 (tptp.u1_struct_0 _let_1))) (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_2) (tptp.v7_waybel_1 C _let_1) (tptp.m2_relset_1 C _let_2 _let_2) (tptp.v22_waybel_0 C _let_1 _let_1) (tptp.r5_waybel_1 A (tptp.k2_yellow_2 _let_1 _let_1 C)))))) _let_1))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k3_yellow_1 A))) (=> (and (not (tptp.v3_struct_0 C)) (tptp.v4_yellow_0 C _let_1) (tptp.v7_yellow_0 C _let_1) (tptp.v4_waybel_0 C _let_1) (tptp.m1_yellow_0 C _let_1)) (= (tptp.r2_hidden B (tptp.u1_struct_0 (tptp.k1_waybel_8 C))) (exists ((D $$unsorted)) (and (tptp.m1_subset_1 D (tptp.u1_struct_0 (tptp.k3_yellow_1 A))) (tptp.v1_finset_1 D) (= B (tptp.k1_setfam_1 (tptp.a_3_0_waybel13 A C D))) (tptp.r1_tarski D B))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k3_yellow_1 B))) (=> (and (not (tptp.v3_struct_0 C)) (tptp.v4_yellow_0 C _let_1) (tptp.v7_yellow_0 C _let_1) (tptp.v4_waybel_0 C _let_1) (tptp.m1_yellow_0 C _let_1) (tptp.m1_subset_1 D (tptp.u1_struct_0 _let_1))) (= (tptp.r2_hidden A (tptp.a_3_0_waybel13 B C D)) (exists ((E $$unsorted)) (and (tptp.m1_subset_1 E (tptp.u1_struct_0 C)) (= A E) (tptp.r1_tarski D E))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_altcat_1 A) (tptp.v12_altcat_1 A) (tptp.l2_altcat_1 A) (not (tptp.v3_struct_0 B)) (tptp.v12_altcat_1 B) (tptp.l2_altcat_1 B)) (forall ((C $$unsorted)) (=> (tptp.m2_functor0 C A B) (and (tptp.v8_functor0 C A B) (tptp.v12_functor0 C A B)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_altcat_1 A) (tptp.v12_altcat_1 A) (tptp.l2_altcat_1 A) (not (tptp.v3_struct_0 B)) (tptp.v12_altcat_1 B) (tptp.l2_altcat_1 B)) (forall ((C $$unsorted)) (=> (tptp.m2_functor0 C A B) (=> (tptp.v15_functor0 C A B) (and (tptp.v6_functor0 C A B) (tptp.v8_functor0 C A B) (tptp.v10_functor0 C A B) (tptp.v12_functor0 C A B) (tptp.v13_functor0 C A B))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_altcat_1 A) (tptp.v12_altcat_1 A) (tptp.l2_altcat_1 A) (not (tptp.v3_struct_0 B)) (tptp.v12_altcat_1 B) (tptp.l2_altcat_1 B)) (forall ((C $$unsorted)) (=> (tptp.m2_functor0 C A B) (=> (and (tptp.v10_functor0 C A B) (tptp.v13_functor0 C A B)) (and (tptp.v6_functor0 C A B) (tptp.v8_functor0 C A B) (tptp.v12_functor0 C A B) (tptp.v15_functor0 C A B))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_altcat_1 A) (tptp.v12_altcat_1 A) (tptp.l2_altcat_1 A) (not (tptp.v3_struct_0 B)) (tptp.v12_altcat_1 B) (tptp.l2_altcat_1 B)) (forall ((C $$unsorted)) (=> (tptp.m2_functor0 C A B) (=> (tptp.v16_functor0 C A B) (and (tptp.v6_functor0 C A B) (tptp.v8_functor0 C A B) (tptp.v11_functor0 C A B) (tptp.v12_functor0 C A B) (tptp.v14_functor0 C A B))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_altcat_1 A) (tptp.v12_altcat_1 A) (tptp.l2_altcat_1 A) (not (tptp.v3_struct_0 B)) (tptp.v12_altcat_1 B) (tptp.l2_altcat_1 B)) (forall ((C $$unsorted)) (=> (tptp.m2_functor0 C A B) (=> (and (tptp.v11_functor0 C A B) (tptp.v14_functor0 C A B)) (and (tptp.v6_functor0 C A B) (tptp.v8_functor0 C A B) (tptp.v12_functor0 C A B) (tptp.v16_functor0 C A B))))))) true (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_altcat_1 A) (tptp.v12_altcat_1 A) (tptp.l2_altcat_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_altcat_1 B) (tptp.v12_altcat_1 B) (tptp.l2_altcat_1 B)) (forall ((C $$unsorted)) (=> (and (tptp.v15_functor0 C A B) (tptp.m2_functor0 C A B)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (= (tptp.k6_functor0 A B C D D (tptp.k8_altcat_1 A D)) (tptp.k8_altcat_1 B (tptp.k3_functor0 A B C D))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_altcat_1 A) (tptp.v12_altcat_1 A) (tptp.l2_altcat_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_altcat_1 B) (tptp.v12_altcat_1 B) (tptp.l2_altcat_1 B)) (forall ((C $$unsorted)) (=> (and (tptp.v15_functor0 C A B) (tptp.m2_functor0 C A B)) (forall ((D $$unsorted)) (=> (and (tptp.v15_functor0 D A B) (tptp.m2_functor0 D A B)) (= (tptp.r1_functor2 A B C D) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.u1_struct_0 A)) (not (= (tptp.k1_altcat_1 B (tptp.k3_functor0 A B C E) (tptp.k3_functor0 A B D E)) tptp.k1_xboole_0))))))))))))) true (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_altcat_1 A) (tptp.v12_altcat_1 A) (tptp.l2_altcat_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_altcat_1 B) (tptp.v12_altcat_1 B) (tptp.l2_altcat_1 B)) (forall ((C $$unsorted)) (=> (and (tptp.v15_functor0 C A B) (tptp.m2_functor0 C A B)) (forall ((D $$unsorted)) (=> (and (tptp.v15_functor0 D A B) (tptp.m2_functor0 D A B)) (forall ((E $$unsorted)) (=> (and (tptp.v15_functor0 E A B) (tptp.m2_functor0 E A B)) (=> (and (tptp.r1_functor2 A B C D) (tptp.r1_functor2 A B D E)) (tptp.r1_functor2 A B C E)))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_altcat_1 A) (tptp.v12_altcat_1 A) (tptp.l2_altcat_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_altcat_1 B) (tptp.v12_altcat_1 B) (tptp.l2_altcat_1 B)) (forall ((C $$unsorted)) (=> (and (tptp.v15_functor0 C A B) (tptp.m2_functor0 C A B)) (forall ((D $$unsorted)) (=> (and (tptp.v15_functor0 D A B) (tptp.m2_functor0 D A B)) (=> (tptp.r1_functor2 A B C D) (forall ((E $$unsorted)) (=> (tptp.m1_pboole E (tptp.u1_struct_0 A)) (= (tptp.m1_functor2 E A B C D) (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F (tptp.u1_struct_0 A)) (tptp.m1_subset_1 (tptp.k1_funct_1 E F) (tptp.k1_altcat_1 B (tptp.k3_functor0 A B C F) (tptp.k3_functor0 A B D F))))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_altcat_1 A) (tptp.v12_altcat_1 A) (tptp.l2_altcat_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_altcat_1 B) (tptp.v12_altcat_1 B) (tptp.l2_altcat_1 B)) (forall ((C $$unsorted)) (=> (and (tptp.v15_functor0 C A B) (tptp.m2_functor0 C A B)) (forall ((D $$unsorted)) (=> (tptp.m1_functor2 D A B C C) (= (= D (tptp.k1_functor2 A B C)) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.u1_struct_0 A)) (= (tptp.k1_funct_1 D E) (tptp.k8_altcat_1 B (tptp.k3_functor0 A B C E)))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_altcat_1 A) (tptp.v12_altcat_1 A) (tptp.l2_altcat_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_altcat_1 B) (tptp.v12_altcat_1 B) (tptp.l2_altcat_1 B)) (forall ((C $$unsorted)) (=> (and (tptp.v15_functor0 C A B) (tptp.m2_functor0 C A B)) (forall ((D $$unsorted)) (=> (and (tptp.v15_functor0 D A B) (tptp.m2_functor0 D A B)) (=> (tptp.r1_functor2 A B C D) (forall ((E $$unsorted)) (=> (tptp.m1_functor2 E A B C D) (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F (tptp.u1_struct_0 A)) (forall ((G $$unsorted)) (=> (tptp.m1_subset_1 G (tptp.k1_altcat_1 B (tptp.k3_functor0 A B C F) (tptp.k3_functor0 A B D F))) (= (= G (tptp.k2_functor2 A B C D E F)) (= G (tptp.k1_funct_1 E F)))))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_altcat_1 A) (tptp.v12_altcat_1 A) (tptp.l2_altcat_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_altcat_1 B) (tptp.v12_altcat_1 B) (tptp.l2_altcat_1 B)) (forall ((C $$unsorted)) (=> (and (tptp.v15_functor0 C A B) (tptp.m2_functor0 C A B)) (forall ((D $$unsorted)) (=> (and (tptp.v15_functor0 D A B) (tptp.m2_functor0 D A B)) (forall ((E $$unsorted)) (=> (and (tptp.v15_functor0 E A B) (tptp.m2_functor0 E A B)) (=> (and (tptp.r1_functor2 A B C D) (tptp.r1_functor2 A B D E)) (forall ((F $$unsorted)) (=> (tptp.m1_functor2 F A B C D) (forall ((G $$unsorted)) (=> (tptp.m1_functor2 G A B D E) (forall ((H $$unsorted)) (=> (tptp.m1_functor2 H A B C E) (= (= H (tptp.k3_functor2 A B C D E F G)) (forall ((I $$unsorted)) (=> (tptp.m1_subset_1 I (tptp.u1_struct_0 A)) (= (tptp.k2_functor2 A B C E H I) (tptp.k5_altcat_1 B (tptp.k3_functor0 A B C I) (tptp.k3_functor0 A B D I) (tptp.k3_functor0 A B E I) (tptp.k2_functor2 A B C D F I) (tptp.k2_functor2 A B D E G I))))))))))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_altcat_1 A) (tptp.v12_altcat_1 A) (tptp.l2_altcat_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_altcat_1 B) (tptp.v12_altcat_1 B) (tptp.l2_altcat_1 B)) (forall ((C $$unsorted)) (=> (and (tptp.v15_functor0 C A B) (tptp.m2_functor0 C A B)) (forall ((D $$unsorted)) (=> (and (tptp.v15_functor0 D A B) (tptp.m2_functor0 D A B)) (=> (tptp.r1_functor2 A B C D) (forall ((E $$unsorted)) (=> (tptp.m1_functor2 E A B C D) (forall ((F $$unsorted)) (=> (tptp.m1_functor2 F A B C D) (=> (forall ((G $$unsorted)) (=> (tptp.m1_subset_1 G (tptp.u1_struct_0 A)) (= (tptp.k2_functor2 A B C D E G) (tptp.k2_functor2 A B C D F G)))) (tptp.r6_pboole (tptp.u1_struct_0 A) E F))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_altcat_1 A) (tptp.v12_altcat_1 A) (tptp.l2_altcat_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_altcat_1 B) (tptp.v12_altcat_1 B) (tptp.l2_altcat_1 B)) (forall ((C $$unsorted)) (=> (and (tptp.v15_functor0 C A B) (tptp.m2_functor0 C A B)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (= (tptp.k2_functor2 A B C C (tptp.k1_functor2 A B C) D) (tptp.k8_altcat_1 B (tptp.k3_functor0 A B C D))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_altcat_1 A) (tptp.v12_altcat_1 A) (tptp.l2_altcat_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_altcat_1 B) (tptp.v12_altcat_1 B) (tptp.l2_altcat_1 B)) (forall ((C $$unsorted)) (=> (and (tptp.v15_functor0 C A B) (tptp.m2_functor0 C A B)) (forall ((D $$unsorted)) (=> (and (tptp.v15_functor0 D A B) (tptp.m2_functor0 D A B)) (=> (tptp.r1_functor2 A B C D) (forall ((E $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_functor2 E A B C D) (and (tptp.r6_pboole _let_1 (tptp.k3_functor2 A B C D D E (tptp.k1_functor2 A B D)) E) (tptp.r6_pboole _let_1 (tptp.k3_functor2 A B C C D (tptp.k1_functor2 A B C) E) E)))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_altcat_1 A) (tptp.v11_altcat_1 A) (tptp.v12_altcat_1 A) (tptp.l2_altcat_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_altcat_1 B) (tptp.v11_altcat_1 B) (tptp.v12_altcat_1 B) (tptp.l2_altcat_1 B)) (forall ((C $$unsorted)) (=> (and (tptp.v15_functor0 C A B) (tptp.m2_functor0 C A B)) (forall ((D $$unsorted)) (=> (and (tptp.v15_functor0 D A B) (tptp.m2_functor0 D A B)) (forall ((E $$unsorted)) (=> (and (tptp.v15_functor0 E A B) (tptp.m2_functor0 E A B)) (forall ((F $$unsorted)) (=> (and (tptp.v15_functor0 F A B) (tptp.m2_functor0 F A B)) (=> (and (tptp.r1_functor2 A B C D) (tptp.r1_functor2 A B D E) (tptp.r1_functor2 A B E F)) (forall ((G $$unsorted)) (=> (tptp.m1_functor2 G A B C D) (forall ((H $$unsorted)) (=> (tptp.m1_functor2 H A B D E) (forall ((I $$unsorted)) (=> (tptp.m1_functor2 I A B E F) (tptp.r6_pboole (tptp.u1_struct_0 A) (tptp.k3_functor2 A B C D F G (tptp.k3_functor2 A B D E F H I)) (tptp.k3_functor2 A B C E F (tptp.k3_functor2 A B C D E G H) I))))))))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_altcat_1 A) (tptp.v12_altcat_1 A) (tptp.l2_altcat_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_altcat_1 B) (tptp.v12_altcat_1 B) (tptp.l2_altcat_1 B)) (forall ((C $$unsorted)) (=> (and (tptp.v15_functor0 C A B) (tptp.m2_functor0 C A B)) (forall ((D $$unsorted)) (=> (and (tptp.v15_functor0 D A B) (tptp.m2_functor0 D A B)) (= (tptp.r2_functor2 A B C D) (and (tptp.r1_functor2 A B C D) (exists ((E $$unsorted)) (and (tptp.m1_functor2 E A B C D) (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F (tptp.u1_struct_0 A)) (forall ((G $$unsorted)) (=> (tptp.m1_subset_1 G (tptp.u1_struct_0 A)) (=> (not (= (tptp.k1_altcat_1 A F G) tptp.k1_xboole_0)) (forall ((H $$unsorted)) (let ((_let_1 (tptp.k3_functor0 A B D G))) (let ((_let_2 (tptp.k3_functor0 A B C F))) (=> (tptp.m1_subset_1 H (tptp.k1_altcat_1 A F G)) (= (tptp.k5_altcat_1 B _let_2 (tptp.k3_functor0 A B C G) _let_1 (tptp.k6_functor0 A B C F G H) (tptp.k2_functor2 A B C D E G)) (tptp.k5_altcat_1 B _let_2 (tptp.k3_functor0 A B D F) _let_1 (tptp.k2_functor2 A B C D E F) (tptp.k6_functor0 A B D F G H)))))))))))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_altcat_1 A) (tptp.v12_altcat_1 A) (tptp.l2_altcat_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_altcat_1 B) (tptp.v12_altcat_1 B) (tptp.l2_altcat_1 B)) (forall ((C $$unsorted)) (=> (and (tptp.v15_functor0 C A B) (tptp.m2_functor0 C A B)) (tptp.r2_functor2 A B C C))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_altcat_1 A) (tptp.v11_altcat_1 A) (tptp.v12_altcat_1 A) (tptp.l2_altcat_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_altcat_1 B) (tptp.v11_altcat_1 B) (tptp.v12_altcat_1 B) (tptp.l2_altcat_1 B)) (forall ((C $$unsorted)) (=> (and (tptp.v15_functor0 C A B) (tptp.m2_functor0 C A B)) (forall ((D $$unsorted)) (=> (and (tptp.v15_functor0 D A B) (tptp.m2_functor0 D A B)) (forall ((E $$unsorted)) (=> (and (tptp.v15_functor0 E A B) (tptp.m2_functor0 E A B)) (=> (and (tptp.r2_functor2 A B C D) (tptp.r2_functor2 A B D E)) (tptp.r2_functor2 A B C E)))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_altcat_1 A) (tptp.v12_altcat_1 A) (tptp.l2_altcat_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_altcat_1 B) (tptp.v12_altcat_1 B) (tptp.l2_altcat_1 B)) (forall ((C $$unsorted)) (=> (and (tptp.v15_functor0 C A B) (tptp.m2_functor0 C A B)) (forall ((D $$unsorted)) (=> (and (tptp.v15_functor0 D A B) (tptp.m2_functor0 D A B)) (=> (tptp.r2_functor2 A B C D) (forall ((E $$unsorted)) (=> (tptp.m1_functor2 E A B C D) (= (tptp.m2_functor2 E A B C D) (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F (tptp.u1_struct_0 A)) (forall ((G $$unsorted)) (=> (tptp.m1_subset_1 G (tptp.u1_struct_0 A)) (=> (not (= (tptp.k1_altcat_1 A F G) tptp.k1_xboole_0)) (forall ((H $$unsorted)) (let ((_let_1 (tptp.k3_functor0 A B D G))) (let ((_let_2 (tptp.k3_functor0 A B C F))) (=> (tptp.m1_subset_1 H (tptp.k1_altcat_1 A F G)) (= (tptp.k5_altcat_1 B _let_2 (tptp.k3_functor0 A B C G) _let_1 (tptp.k6_functor0 A B C F G H) (tptp.k2_functor2 A B C D E G)) (tptp.k5_altcat_1 B _let_2 (tptp.k3_functor0 A B D F) _let_1 (tptp.k2_functor2 A B C D E F) (tptp.k6_functor0 A B D F G H)))))))))))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_altcat_1 A) (tptp.v11_altcat_1 A) (tptp.v12_altcat_1 A) (tptp.l2_altcat_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_altcat_1 B) (tptp.v11_altcat_1 B) (tptp.v12_altcat_1 B) (tptp.l2_altcat_1 B)) (forall ((C $$unsorted)) (=> (and (tptp.v15_functor0 C A B) (tptp.m2_functor0 C A B)) (forall ((D $$unsorted)) (=> (and (tptp.v15_functor0 D A B) (tptp.m2_functor0 D A B)) (forall ((E $$unsorted)) (=> (and (tptp.v15_functor0 E A B) (tptp.m2_functor0 E A B)) (=> (and (tptp.r2_functor2 A B C D) (tptp.r2_functor2 A B D E)) (forall ((F $$unsorted)) (=> (tptp.m2_functor2 F A B C D) (forall ((G $$unsorted)) (=> (tptp.m2_functor2 G A B D E) (forall ((H $$unsorted)) (=> (tptp.m2_functor2 H A B C E) (= (= H (tptp.k5_functor2 A B C D E F G)) (tptp.r6_pboole (tptp.u1_struct_0 A) H (tptp.k3_functor2 A B C D E F G)))))))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_altcat_1 A) (tptp.v12_altcat_1 A) (tptp.l2_altcat_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_altcat_1 B) (tptp.v12_altcat_1 B) (tptp.l2_altcat_1 B)) (forall ((C $$unsorted)) (=> (and (tptp.v15_functor0 C A B) (tptp.m2_functor0 C A B)) (forall ((D $$unsorted)) (=> (and (tptp.v15_functor0 D A B) (tptp.m2_functor0 D A B)) (=> (tptp.r2_functor2 A B C D) (forall ((E $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m2_functor2 E A B C D) (and (tptp.r6_pboole _let_1 (tptp.k3_functor2 A B C D D E (tptp.k4_functor2 A B D)) E) (tptp.r6_pboole _let_1 (tptp.k3_functor2 A B C C D (tptp.k4_functor2 A B C) E) E)))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_altcat_1 A) (tptp.v12_altcat_1 A) (tptp.l2_altcat_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_altcat_1 B) (tptp.v12_altcat_1 B) (tptp.l2_altcat_1 B)) (forall ((C $$unsorted)) (=> (and (tptp.v15_functor0 C A B) (tptp.m2_functor0 C A B)) (forall ((D $$unsorted)) (=> (and (tptp.v15_functor0 D A B) (tptp.m2_functor0 D A B)) (forall ((E $$unsorted)) (=> (and (tptp.v15_functor0 E A B) (tptp.m2_functor0 E A B)) (=> (and (tptp.r2_functor2 A B C D) (tptp.r2_functor2 A B D E)) (forall ((F $$unsorted)) (=> (tptp.m2_functor2 F A B C D) (forall ((G $$unsorted)) (=> (tptp.m2_functor2 G A B D E) (forall ((H $$unsorted)) (=> (tptp.m1_subset_1 H (tptp.u1_struct_0 A)) (= (tptp.k2_functor2 A B C E (tptp.k3_functor2 A B C D E F G) H) (tptp.k5_altcat_1 B (tptp.k3_functor0 A B C H) (tptp.k3_functor0 A B D H) (tptp.k3_functor0 A B E H) (tptp.k2_functor2 A B C D F H) (tptp.k2_functor2 A B D E G H)))))))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_altcat_1 A) (tptp.v11_altcat_1 A) (tptp.v12_altcat_1 A) (tptp.l2_altcat_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_altcat_1 B) (tptp.v11_altcat_1 B) (tptp.v12_altcat_1 B) (tptp.l2_altcat_1 B)) (forall ((C $$unsorted)) (=> (and (tptp.v15_functor0 C A B) (tptp.m2_functor0 C A B)) (forall ((D $$unsorted)) (=> (and (tptp.v15_functor0 D A B) (tptp.m2_functor0 D A B)) (forall ((E $$unsorted)) (=> (and (tptp.v15_functor0 E A B) (tptp.m2_functor0 E A B)) (forall ((F $$unsorted)) (=> (and (tptp.v15_functor0 F A B) (tptp.m2_functor0 F A B)) (forall ((G $$unsorted)) (=> (tptp.m2_functor2 G A B C D) (forall ((H $$unsorted)) (=> (tptp.m2_functor2 H A B D E) (=> (and (tptp.r2_functor2 A B C D) (tptp.r2_functor2 A B D E) (tptp.r2_functor2 A B E F)) (forall ((I $$unsorted)) (=> (tptp.m2_functor2 I A B E F) (tptp.r6_pboole (tptp.u1_struct_0 A) (tptp.k5_functor2 A B C D F G (tptp.k5_functor2 A B D E F H I)) (tptp.k5_functor2 A B C E F (tptp.k5_functor2 A B C D E G H) I))))))))))))))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m1_pboole C A) (forall ((D $$unsorted)) (let ((_let_1 (= D (tptp.k6_functor2 A B C)))) (and (=> (forall ((E $$unsorted)) (=> (and (tptp.r2_hidden E A) (= (tptp.k1_funct_1 C E) tptp.k1_xboole_0)) (= (tptp.k1_funct_1 B E) tptp.k1_xboole_0))) (= _let_1 (forall ((E $$unsorted)) (= (tptp.r2_hidden E D) (tptp.m3_pboole E A B C))))) (=> (exists ((E $$unsorted)) (and (tptp.r2_hidden E A) (= (tptp.k1_funct_1 C E) tptp.k1_xboole_0) (not (= (tptp.k1_funct_1 B E) tptp.k1_xboole_0)))) (= _let_1 (= D tptp.k1_xboole_0)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_altcat_1 A) (tptp.v12_altcat_1 A) (tptp.l2_altcat_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_altcat_1 B) (tptp.v12_altcat_1 B) (tptp.l2_altcat_1 B)) (forall ((C $$unsorted)) (= (= C (tptp.k7_functor2 A B)) (forall ((D $$unsorted)) (= (tptp.r2_hidden D C) (and (tptp.v9_functor0 D A B) (tptp.v15_functor0 D A B) (tptp.m2_functor0 D A B)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_altcat_1 A) (tptp.v11_altcat_1 A) (tptp.v12_altcat_1 A) (tptp.l2_altcat_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_altcat_1 B) (tptp.v11_altcat_1 B) (tptp.v12_altcat_1 B) (tptp.l2_altcat_1 B)) (forall ((C $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.v2_altcat_1 C) (tptp.v6_altcat_1 C) (tptp.l2_altcat_1 C)) (= (= C (tptp.k8_functor2 A B)) (and (= (tptp.u1_struct_0 C) (tptp.k7_functor2 A B)) (forall ((D $$unsorted)) (=> (and (tptp.v9_functor0 D A B) (tptp.v15_functor0 D A B) (tptp.m2_functor0 D A B)) (forall ((E $$unsorted)) (=> (and (tptp.v9_functor0 E A B) (tptp.v15_functor0 E A B) (tptp.m2_functor0 E A B)) (forall ((F $$unsorted)) (= (tptp.r2_hidden F (tptp.k1_binop_1 (tptp.u1_altcat_1 C) D E)) (and (tptp.r2_functor2 A B D E) (tptp.m2_functor2 F A B D E)))))))) (forall ((D $$unsorted)) (=> (and (tptp.v9_functor0 D A B) (tptp.v15_functor0 D A B) (tptp.m2_functor0 D A B)) (forall ((E $$unsorted)) (=> (and (tptp.v9_functor0 E A B) (tptp.v15_functor0 E A B) (tptp.m2_functor0 E A B)) (forall ((F $$unsorted)) (=> (and (tptp.v9_functor0 F A B) (tptp.v15_functor0 F A B) (tptp.m2_functor0 F A B)) (=> (and (tptp.r2_functor2 A B D E) (tptp.r2_functor2 A B E F)) (forall ((G $$unsorted)) (=> (tptp.m2_functor2 G A B D E) (forall ((H $$unsorted)) (=> (tptp.m2_functor2 H A B E F) (exists ((I $$unsorted)) (and (tptp.v1_relat_1 I) (tptp.v1_funct_1 I) (= I (tptp.k1_multop_1 (tptp.u2_altcat_1 C) D E F)) (= (tptp.k1_binop_1 I H G) (tptp.k5_functor2 A B D E F G H))))))))))))))))))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_altcat_1 A) (tptp.v12_altcat_1 A) (tptp.l2_altcat_1 A) (not (tptp.v3_struct_0 B)) (tptp.v2_altcat_1 B) (tptp.v12_altcat_1 B) (tptp.l2_altcat_1 B) (tptp.v15_functor0 C A B) (tptp.m2_functor0 C A B) (tptp.v15_functor0 D A B) (tptp.m2_functor0 D A B)) (forall ((E $$unsorted)) (=> (tptp.m1_functor2 E A B C D) (tptp.m1_pboole E (tptp.u1_struct_0 A)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_altcat_1 A) (tptp.v12_altcat_1 A) (tptp.l2_altcat_1 A) (not (tptp.v3_struct_0 B)) (tptp.v2_altcat_1 B) (tptp.v12_altcat_1 B) (tptp.l2_altcat_1 B) (tptp.v15_functor0 C A B) (tptp.m2_functor0 C A B) (tptp.v15_functor0 D A B) (tptp.m2_functor0 D A B)) (exists ((E $$unsorted)) (tptp.m1_functor2 E A B C D)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_altcat_1 A) (tptp.v12_altcat_1 A) (tptp.l2_altcat_1 A) (not (tptp.v3_struct_0 B)) (tptp.v2_altcat_1 B) (tptp.v12_altcat_1 B) (tptp.l2_altcat_1 B) (tptp.v15_functor0 C A B) (tptp.m2_functor0 C A B) (tptp.v15_functor0 D A B) (tptp.m2_functor0 D A B)) (forall ((E $$unsorted)) (=> (tptp.m2_functor2 E A B C D) (tptp.m1_functor2 E A B C D))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_altcat_1 A) (tptp.v12_altcat_1 A) (tptp.l2_altcat_1 A) (not (tptp.v3_struct_0 B)) (tptp.v2_altcat_1 B) (tptp.v12_altcat_1 B) (tptp.l2_altcat_1 B) (tptp.v15_functor0 C A B) (tptp.m2_functor0 C A B) (tptp.v15_functor0 D A B) (tptp.m2_functor0 D A B)) (exists ((E $$unsorted)) (tptp.m2_functor2 E A B C D)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_altcat_1 A) (tptp.v12_altcat_1 A) (tptp.l2_altcat_1 A) (not (tptp.v3_struct_0 B)) (tptp.v2_altcat_1 B) (tptp.v12_altcat_1 B) (tptp.l2_altcat_1 B) (tptp.v15_functor0 C A B) (tptp.m2_functor0 C A B) (tptp.v15_functor0 D A B) (tptp.m2_functor0 D A B)) (tptp.r1_functor2 A B C C))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_altcat_1 A) (tptp.v12_altcat_1 A) (tptp.l2_altcat_1 A) (not (tptp.v3_struct_0 B)) (tptp.v2_altcat_1 B) (tptp.v12_altcat_1 B) (tptp.l2_altcat_1 B) (tptp.v15_functor0 C A B) (tptp.m2_functor0 C A B)) (tptp.m1_functor2 (tptp.k1_functor2 A B C) A B C C))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_altcat_1 A) (tptp.v12_altcat_1 A) (tptp.l2_altcat_1 A) (not (tptp.v3_struct_0 B)) (tptp.v2_altcat_1 B) (tptp.v12_altcat_1 B) (tptp.l2_altcat_1 B) (tptp.v15_functor0 C A B) (tptp.m2_functor0 C A B) (tptp.v15_functor0 D A B) (tptp.m2_functor0 D A B) (tptp.m1_functor2 E A B C D) (tptp.m1_subset_1 F (tptp.u1_struct_0 A))) (tptp.m1_subset_1 (tptp.k2_functor2 A B C D E F) (tptp.k1_altcat_1 B (tptp.k3_functor0 A B C F) (tptp.k3_functor0 A B D F))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted) (G $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_altcat_1 A) (tptp.v12_altcat_1 A) (tptp.l2_altcat_1 A) (not (tptp.v3_struct_0 B)) (tptp.v2_altcat_1 B) (tptp.v12_altcat_1 B) (tptp.l2_altcat_1 B) (tptp.v15_functor0 C A B) (tptp.m2_functor0 C A B) (tptp.v15_functor0 D A B) (tptp.m2_functor0 D A B) (tptp.v15_functor0 E A B) (tptp.m2_functor0 E A B) (tptp.m1_functor2 F A B C D) (tptp.m1_functor2 G A B D E)) (tptp.m1_functor2 (tptp.k3_functor2 A B C D E F G) A B C E))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_altcat_1 A) (tptp.v12_altcat_1 A) (tptp.l2_altcat_1 A) (not (tptp.v3_struct_0 B)) (tptp.v2_altcat_1 B) (tptp.v12_altcat_1 B) (tptp.l2_altcat_1 B) (tptp.v15_functor0 C A B) (tptp.m2_functor0 C A B)) (tptp.m2_functor2 (tptp.k4_functor2 A B C) A B C C))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_altcat_1 A) (tptp.v12_altcat_1 A) (tptp.l2_altcat_1 A) (not (tptp.v3_struct_0 B)) (tptp.v2_altcat_1 B) (tptp.v12_altcat_1 B) (tptp.l2_altcat_1 B) (tptp.v15_functor0 C A B) (tptp.m2_functor0 C A B)) (= (tptp.k4_functor2 A B C) (tptp.k1_functor2 A B C)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted) (G $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_altcat_1 A) (tptp.v11_altcat_1 A) (tptp.v12_altcat_1 A) (tptp.l2_altcat_1 A) (not (tptp.v3_struct_0 B)) (tptp.v2_altcat_1 B) (tptp.v11_altcat_1 B) (tptp.v12_altcat_1 B) (tptp.l2_altcat_1 B) (tptp.v15_functor0 C A B) (tptp.m2_functor0 C A B) (tptp.v15_functor0 D A B) (tptp.m2_functor0 D A B) (tptp.v15_functor0 E A B) (tptp.m2_functor0 E A B) (tptp.m2_functor2 F A B C D) (tptp.m2_functor2 G A B D E)) (tptp.m2_functor2 (tptp.k5_functor2 A B C D E F G) A B C E))) true true (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k8_functor2 A B))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_altcat_1 A) (tptp.v11_altcat_1 A) (tptp.v12_altcat_1 A) (tptp.l2_altcat_1 A) (not (tptp.v3_struct_0 B)) (tptp.v2_altcat_1 B) (tptp.v11_altcat_1 B) (tptp.v12_altcat_1 B) (tptp.l2_altcat_1 B)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v2_altcat_1 _let_1) (tptp.v6_altcat_1 _let_1) (tptp.l2_altcat_1 _let_1))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A)) (= (tptp.k1_yoneda_1 A) (tptp.k12_ens_1 (tptp.k17_ens_1 A))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_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 $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u2_cat_1 (tptp.k1_yoneda_1 A))) (forall ((E $$unsorted)) (let ((_let_1 (tptp.k1_yoneda_1 A))) (let ((_let_2 (tptp.k3_cat_1 _let_1 E))) (let ((_let_3 (tptp.k2_cat_1 _let_1 D))) (let ((_let_4 (tptp.k2_cat_1 _let_1 E))) (let ((_let_5 (tptp.k3_cat_1 _let_1 D))) (=> (tptp.m1_subset_1 E (tptp.u2_cat_1 _let_1)) (=> (and (= _let_5 _let_4) (= (tptp.k4_tarski (tptp.k12_cat_2 _let_1 _let_1 _let_3 _let_5) B) D) (= (tptp.k4_tarski (tptp.k12_cat_2 _let_1 _let_1 _let_4 _let_2) C) E)) (= (tptp.k4_tarski (tptp.k12_cat_2 _let_1 _let_1 _let_3 _let_2) (tptp.k5_relat_1 B C)) (tptp.k4_cat_1 _let_1 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.m2_cat_1 (tptp.k20_ens_1 A B) A (tptp.k1_yoneda_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.k2_yoneda_1 A B) (tptp.k20_ens_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.u2_cat_1 A)) (tptp.r2_nattra_1 A (tptp.k1_yoneda_1 A) (tptp.k2_yoneda_1 A (tptp.k3_cat_1 A B)) (tptp.k2_yoneda_1 A (tptp.k2_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.u2_cat_1 A)) (forall ((C $$unsorted)) (=> (tptp.m2_nattra_1 C A (tptp.k1_yoneda_1 A) (tptp.k2_yoneda_1 A (tptp.k3_cat_1 A B)) (tptp.k2_yoneda_1 A (tptp.k2_cat_1 A B))) (= (= C (tptp.k3_yoneda_1 A B)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k2_cat_1 A B))) (let ((_let_2 (tptp.k3_cat_1 A B))) (=> (tptp.m1_subset_1 D (tptp.u1_cat_1 A)) (= (tptp.k5_nattra_1 A (tptp.k1_yoneda_1 A) (tptp.k2_yoneda_1 A _let_2) (tptp.k2_yoneda_1 A _let_1) C D) (tptp.k4_tarski (tptp.k4_tarski (tptp.k6_cat_1 A _let_2 D) (tptp.k6_cat_1 A _let_1 D)) (tptp.k22_ens_1 A B (tptp.k10_cat_1 A 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.m1_subset_1 (tptp.k4_tarski (tptp.k4_tarski (tptp.k2_yoneda_1 A (tptp.k3_cat_1 A B)) (tptp.k2_yoneda_1 A (tptp.k2_cat_1 A B))) (tptp.k3_yoneda_1 A B)) (tptp.u2_cat_1 (tptp.k12_nattra_1 A (tptp.k1_yoneda_1 A)))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_oppcat_1 B A (tptp.k12_nattra_1 A (tptp.k1_yoneda_1 A))) (= (= B (tptp.k4_yoneda_1 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u2_cat_1 A))) (=> (tptp.m1_subset_1 C _let_1) (= (tptp.k8_funct_2 _let_1 (tptp.u2_cat_1 (tptp.k12_nattra_1 A (tptp.k1_yoneda_1 A))) B C) (tptp.k4_tarski (tptp.k4_tarski (tptp.k2_yoneda_1 A (tptp.k3_cat_1 A C)) (tptp.k2_yoneda_1 A (tptp.k2_cat_1 A C))) (tptp.k3_yoneda_1 A C))))))))))) (forall ((A $$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_oppcat_1 C A B) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_cat_1 A))) (=> (tptp.m1_subset_1 D _let_1) (= (tptp.k5_yoneda_1 A B C D) (tptp.k8_funct_2 _let_1 (tptp.u1_cat_1 B) (tptp.k12_cat_1 A B C) D))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k12_nattra_1 A (tptp.k1_yoneda_1 A)))) (=> (tptp.m2_cat_1 B A _let_1) (=> (and (tptp.v2_funct_1 (tptp.k12_cat_1 A _let_1 B)) (tptp.v10_cat_1 B A _let_1)) (tptp.v2_funct_1 B))))))) (forall ((A $$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_oppcat_1 C A B) (= (tptp.v1_yoneda_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)))))))))))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k12_nattra_1 A (tptp.k1_yoneda_1 A)))) (=> (tptp.m1_oppcat_1 B A _let_1) (=> (and (tptp.v2_funct_1 (tptp.k12_cat_1 A _let_1 B)) (tptp.v1_yoneda_1 B A _let_1)) (tptp.v2_funct_1 B))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A)) (tptp.v1_yoneda_1 (tptp.k4_yoneda_1 A) A (tptp.k12_nattra_1 A (tptp.k1_yoneda_1 A))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A)) (tptp.v2_funct_1 (tptp.k4_yoneda_1 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 $$unsorted)) (=> (tptp.m1_oppcat_1 C A B) (= (tptp.v2_yoneda_1 C A B) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_cat_1 A)) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.u1_cat_1 A)) (=> (not (= (tptp.k6_cat_1 B (tptp.k5_yoneda_1 A B C E) (tptp.k5_yoneda_1 A B C D)) tptp.k1_xboole_0)) (forall ((F $$unsorted)) (=> (tptp.m1_cat_1 F B (tptp.k5_yoneda_1 A B C E) (tptp.k5_yoneda_1 A B C D)) (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)) (tptp.v2_yoneda_1 (tptp.k4_yoneda_1 A) A (tptp.k12_nattra_1 A (tptp.k1_yoneda_1 A))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k1_yoneda_1 A))) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A)) (and (tptp.v2_cat_1 _let_1) (tptp.l1_cat_1 _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A) (tptp.m1_subset_1 B (tptp.u1_cat_1 A))) (tptp.m2_cat_1 (tptp.k2_yoneda_1 A B) A (tptp.k1_yoneda_1 A)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A) (tptp.m1_subset_1 B (tptp.u2_cat_1 A))) (tptp.m2_nattra_1 (tptp.k3_yoneda_1 A B) A (tptp.k1_yoneda_1 A) (tptp.k2_yoneda_1 A (tptp.k3_cat_1 A B)) (tptp.k2_yoneda_1 A (tptp.k2_cat_1 A B))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A)) (tptp.m1_oppcat_1 (tptp.k4_yoneda_1 A) A (tptp.k12_nattra_1 A (tptp.k1_yoneda_1 A))))) (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_oppcat_1 C A B) (tptp.m1_subset_1 D (tptp.u1_cat_1 A))) (tptp.m1_subset_1 (tptp.k5_yoneda_1 A B C D) (tptp.u1_cat_1 B)))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.g1_struct_0 (tptp.u1_struct_0 A)))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_struct_0 A)) (and (tptp.v1_struct_0 _let_1) (not (tptp.v3_struct_0 _let_1)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k2_closure3 A B C))) (=> (and (tptp.m1_pboole B A) (tptp.v1_xboole_0 C) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.k1_closure2 A B)))) (and (tptp.v1_relat_1 _let_1) (tptp.v3_relat_1 _let_1) (tptp.v1_funct_1 _let_1) (tptp.v1_pre_circ _let_1 A))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.m1_pboole B A)) (exists ((C $$unsorted)) (let ((_let_1 (tptp.k6_closure2 A B))) (and (tptp.m1_relset_1 C _let_1 _let_1) (not (tptp.v1_xboole_0 C)) (tptp.v1_relat_1 C) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_1 _let_1) (tptp.v1_partfun1 C _let_1 _let_1) (tptp.v7_closure2 C A B) (tptp.v8_closure2 C A B) (tptp.v9_closure2 C A B) (tptp.v1_closure3 C A B)))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.g1_struct_0 (tptp.u1_struct_0 A)))) (let ((_let_2 (tptp.k5_closure3 A B))) (=> (and (not (tptp.v3_struct_0 A)) (not (tptp.v2_msualg_1 A)) (tptp.l1_msualg_1 A) (tptp.v4_msualg_1 B A) (tptp.v5_msualg_1 B A) (tptp.l3_msualg_1 B A)) (and (tptp.v11_closure2 _let_2 _let_1) (tptp.v14_closure2 _let_2 _let_1) (tptp.v15_closure2 _let_2 _let_1) (tptp.v16_closure2 _let_2 _let_1)))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.g1_struct_0 (tptp.u1_struct_0 A)))) (let ((_let_2 (tptp.k5_closure3 A B))) (=> (and (not (tptp.v3_struct_0 A)) (not (tptp.v2_msualg_1 A)) (tptp.l1_msualg_1 A) (tptp.v4_msualg_1 B A) (tptp.v5_msualg_1 B A) (tptp.l3_msualg_1 B A)) (and (tptp.v11_closure2 _let_2 _let_1) (tptp.v14_closure2 _let_2 _let_1) (tptp.v15_closure2 _let_2 _let_1) (tptp.v16_closure2 _let_2 _let_1) (tptp.v2_closure3 _let_2 _let_1)))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m1_pboole C A) (= (tptp.k1_funct_4 B C) C))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m1_pboole C A) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.k1_closure2 A B))) (=> (tptp.r2_hidden C D) (tptp.r2_pboole A (tptp.k6_mssubfam A B (tptp.k5_closure2 A B D)) C)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (not (tptp.v2_msualg_1 A)) (tptp.l1_msualg_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v4_msualg_1 B A) (tptp.v5_msualg_1 B A) (tptp.l3_msualg_1 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.k1_closure2 (tptp.u1_struct_0 A) (tptp.u4_msualg_1 A B)))) (=> (tptp.r1_tarski C (tptp.k6_msualg_2 A B)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u4_msualg_1 A B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (tptp.m4_pboole D _let_2 _let_1) (=> (tptp.r6_pboole _let_2 D (tptp.k6_mssubfam _let_2 _let_1 (tptp.k5_closure2 _let_2 _let_1 C))) (tptp.v3_msualg_2 D A B))))))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.k1_closure2 A B))) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.k1_closure2 A B))) (= (tptp.r1_closure3 A B C D) (forall ((E $$unsorted)) (not (and (tptp.r2_hidden E D) (forall ((F $$unsorted)) (not (and (tptp.r2_hidden F C) (tptp.r1_tarski E F)))))))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.k1_closure2 A B))) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.k1_closure2 A B))) (= (tptp.r2_closure3 A B C D) (forall ((E $$unsorted)) (not (and (tptp.r2_hidden E C) (forall ((F $$unsorted)) (not (and (tptp.r2_hidden F D) (tptp.r1_tarski F E)))))))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.k1_closure2 A B))) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.k1_closure2 A B))) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.k1_zfmisc_1 (tptp.k1_closure2 A B))) (=> (and (tptp.r1_closure3 A B D C) (tptp.r1_closure3 A B E D)) (tptp.r1_closure3 A B E C)))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.k1_closure2 A B))) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.k1_closure2 A B))) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.k1_zfmisc_1 (tptp.k1_closure2 A B))) (=> (and (tptp.r2_closure3 A B C D) (tptp.r2_closure3 A B D E)) (tptp.r2_closure3 A B C E)))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (and (tptp.v2_relat_1 B) (tptp.m1_pboole B A)) (= B (tptp.k1_funct_4 (tptp.k1_pboole A) (tptp.k7_relat_1 B (tptp.k1_closure3 A B)))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (and (tptp.v2_relat_1 B) (tptp.m1_pboole B A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k1_closure3 A C))) (let ((_let_2 (tptp.k1_closure3 A B))) (=> (and (tptp.v2_relat_1 C) (tptp.m1_pboole C A)) (=> (and (= _let_2 _let_1) (= (tptp.k7_relat_1 B _let_2) (tptp.k7_relat_1 C _let_1))) (tptp.r6_pboole A B C)))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C A) (=> (not (tptp.r2_hidden C (tptp.k1_closure3 A B))) (= (tptp.k1_funct_1 B C) tptp.k1_xboole_0)))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m1_closure2 C A B (tptp.k6_closure2 A B)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D A) (forall ((E $$unsorted)) (not (and (tptp.r2_hidden E (tptp.k1_funct_1 C D)) (forall ((F $$unsorted)) (=> (tptp.m1_closure2 F A B (tptp.k6_closure2 A B)) (not (and (tptp.r2_hidden E (tptp.k1_funct_1 F D)) (tptp.v1_pre_circ F A) (tptp.v1_finset_1 (tptp.k1_closure3 A F)) (tptp.r2_pboole A F C)))))))))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.k1_closure2 A B))) (tptp.r6_pboole A (tptp.k2_closure3 A B C) (tptp.k2_mboolean A (tptp.k5_closure2 A B C))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.k1_closure2 A B))) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.k1_closure2 A B))) (tptp.r6_pboole A (tptp.k2_closure3 A B (tptp.k3_closure3 A B C D)) (tptp.k2_pboole A (tptp.k2_closure3 A B C) (tptp.k2_closure3 A B D))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.k1_closure2 A B))) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.k1_closure2 A B))) (=> (tptp.r1_tarski C D) (tptp.r2_pboole A (tptp.k2_closure3 A B C) (tptp.k2_closure3 A B D))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.k1_closure2 A B))) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.k1_closure2 A B))) (tptp.r2_pboole A (tptp.k2_closure3 A B (tptp.k4_closure3 A B C D)) (tptp.k3_pboole A (tptp.k2_closure3 A B C) (tptp.k2_closure3 A B D))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_struct_0 A)) (forall ((B $$unsorted)) (=> (and (tptp.v15_closure2 B A) (tptp.l1_closure2 B A)) (= (tptp.v2_closure3 B A) (tptp.v1_closure3 (tptp.k12_closure2 A B) (tptp.u1_struct_0 A) (tptp.u4_msualg_1 A B))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (not (tptp.v2_msualg_1 A)) (tptp.l1_msualg_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v5_msualg_1 B A) (tptp.l3_msualg_1 B A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.g1_struct_0 (tptp.u1_struct_0 A)))) (=> (and (tptp.v11_closure2 C _let_1) (tptp.l1_closure2 C _let_1)) (= (= C (tptp.k5_closure3 A B)) (and (= (tptp.u4_msualg_1 _let_1 C) (tptp.u4_msualg_1 A B)) (= (tptp.u1_closure2 _let_1 C) (tptp.k6_msualg_2 A B))))))))))) true (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (not (tptp.v2_msualg_1 A)) (tptp.l1_msualg_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u4_msualg_1 A B))) (let ((_let_2 (tptp.u1_struct_0 A))) (let ((_let_3 (tptp.k6_msualg_2 A B))) (=> (and (tptp.v4_msualg_1 B A) (tptp.v5_msualg_1 B A) (tptp.l3_msualg_1 B A)) (and (tptp.v4_closure2 _let_3 _let_2 _let_1) (tptp.m1_subset_1 _let_3 (tptp.k1_zfmisc_1 (tptp.k1_closure2 _let_2 _let_1))))))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.m1_pboole B A) (not (tptp.v1_xboole_0 C)) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.k1_closure2 A B)))) (forall ((D $$unsorted)) (=> (tptp.m1_closure3 D A B C) (tptp.m1_pboole D A))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.m1_pboole B A) (not (tptp.v1_xboole_0 C)) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.k1_closure2 A B)))) (exists ((D $$unsorted)) (tptp.m1_closure3 D A B C)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.m1_pboole B A) (not (tptp.v1_xboole_0 C)) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.k1_closure2 A B)))) (forall ((D $$unsorted)) (= (tptp.m1_closure3 D A B C) (tptp.m1_subset_1 D C))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 (tptp.k1_closure2 A B)))) (=> (and (tptp.m1_pboole B A) (tptp.m1_subset_1 C _let_1) (tptp.m1_subset_1 D _let_1)) (tptp.r1_closure3 A B D D)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 (tptp.k1_closure2 A B)))) (=> (and (tptp.m1_pboole B A) (tptp.m1_subset_1 C _let_1) (tptp.m1_subset_1 D _let_1)) (tptp.r2_closure3 A B C C)))) true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.m1_pboole B A) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.k1_closure2 A B)))) (tptp.m4_pboole (tptp.k2_closure3 A B C) A B))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 (tptp.k1_closure2 A B)))) (=> (and (tptp.m1_pboole B A) (tptp.m1_subset_1 C _let_1) (tptp.m1_subset_1 D _let_1)) (tptp.m1_subset_1 (tptp.k3_closure3 A B C D) _let_1)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 (tptp.k1_closure2 A B)))) (=> (and (tptp.m1_pboole B A) (tptp.m1_subset_1 C _let_1) (tptp.m1_subset_1 D _let_1)) (= (tptp.k3_closure3 A B C D) (tptp.k3_closure3 A B D C))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 (tptp.k1_closure2 A B)))) (=> (and (tptp.m1_pboole B A) (tptp.m1_subset_1 C _let_1) (tptp.m1_subset_1 D _let_1)) (= (tptp.k3_closure3 A B C C) C)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 (tptp.k1_closure2 A B)))) (=> (and (tptp.m1_pboole B A) (tptp.m1_subset_1 C _let_1) (tptp.m1_subset_1 D _let_1)) (= (tptp.k3_closure3 A B C D) (tptp.k2_xboole_0 C D))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 (tptp.k1_closure2 A B)))) (=> (and (tptp.m1_pboole B A) (tptp.m1_subset_1 C _let_1) (tptp.m1_subset_1 D _let_1)) (tptp.m1_subset_1 (tptp.k4_closure3 A B C D) _let_1)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 (tptp.k1_closure2 A B)))) (=> (and (tptp.m1_pboole B A) (tptp.m1_subset_1 C _let_1) (tptp.m1_subset_1 D _let_1)) (= (tptp.k4_closure3 A B C D) (tptp.k4_closure3 A B D C))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 (tptp.k1_closure2 A B)))) (=> (and (tptp.m1_pboole B A) (tptp.m1_subset_1 C _let_1) (tptp.m1_subset_1 D _let_1)) (= (tptp.k4_closure3 A B C C) C)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 (tptp.k1_closure2 A B)))) (=> (and (tptp.m1_pboole B A) (tptp.m1_subset_1 C _let_1) (tptp.m1_subset_1 D _let_1)) (= (tptp.k4_closure3 A B C D) (tptp.k3_xboole_0 C D))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.g1_struct_0 (tptp.u1_struct_0 A)))) (let ((_let_2 (tptp.k5_closure3 A B))) (=> (and (not (tptp.v3_struct_0 A)) (not (tptp.v2_msualg_1 A)) (tptp.l1_msualg_1 A) (tptp.v5_msualg_1 B A) (tptp.l3_msualg_1 B A)) (and (tptp.v11_closure2 _let_2 _let_1) (tptp.l1_closure2 _let_2 _let_1)))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (= (= C (tptp.k1_closure3 A B)) (= C (tptp.a_2_0_closure3 A B)))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.k1_closure2 A B))) (forall ((D $$unsorted)) (=> (tptp.m4_pboole D A B) (= (= D (tptp.k2_closure3 A B C)) (forall ((E $$unsorted)) (=> (tptp.r2_hidden E A) (= (tptp.k1_funct_1 D E) (tptp.k3_tarski (tptp.a_4_0_closure3 A B C E)))))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (forall ((D $$unsorted)) (=> (tptp.r2_hidden D C) (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.k1_closure2 A B))))) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.k1_closure2 A B))) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.k1_zfmisc_1 (tptp.k1_closure2 A B))) (=> (and (= E (tptp.a_3_0_closure3 A B C)) (= D (tptp.k3_tarski C))) (tptp.r6_pboole A (tptp.k2_closure3 A B E) (tptp.k2_closure3 A B D))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k6_closure2 A B))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_1 _let_1) (tptp.m2_relset_1 C _let_1 _let_1)) (= (tptp.v1_closure3 C A B) (forall ((D $$unsorted)) (=> (tptp.m1_closure3 D A B (tptp.k6_closure2 A B)) (not (and (tptp.r6_pboole A D (tptp.k7_closure2 A B C D)) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.k1_zfmisc_1 (tptp.k1_closure2 A B))) (not (and (= E (tptp.a_4_1_closure3 A B C D)) (tptp.r6_pboole A D (tptp.k2_closure3 A B E)))))))))))))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.m1_pboole C B)) (= (tptp.r2_hidden A (tptp.a_2_0_closure3 B C)) (exists ((D $$unsorted)) (and (tptp.m1_subset_1 D B) (= A D) (not (= (tptp.k1_funct_1 C D) tptp.k1_xboole_0))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (=> (and (tptp.m1_pboole C B) (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.k1_closure2 B C)))) (= (tptp.r2_hidden A (tptp.a_4_0_closure3 B C D E)) (exists ((F $$unsorted)) (and (tptp.m1_closure2 F B C (tptp.k6_closure2 B C)) (= A (tptp.k1_funct_1 F E)) (tptp.r2_hidden F D)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (tptp.m1_pboole C B) (= (tptp.r2_hidden A (tptp.a_3_0_closure3 B C D)) (exists ((E $$unsorted)) (and (tptp.m1_subset_1 E (tptp.k1_zfmisc_1 (tptp.k1_closure2 B C))) (= A (tptp.k2_closure3 B C E)) (tptp.r2_hidden E D)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (let ((_let_1 (tptp.k6_closure2 B C))) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.m1_pboole C B) (tptp.v1_funct_1 D) (tptp.v1_funct_2 D _let_1 _let_1) (tptp.m2_relset_1 D _let_1 _let_1) (tptp.m1_closure3 E B C _let_1)) (= (tptp.r2_hidden A (tptp.a_4_1_closure3 B C D E)) (exists ((F $$unsorted)) (and (tptp.m1_closure3 F B C (tptp.k6_closure2 B C)) (= A (tptp.k7_closure2 B C D F)) (tptp.v1_pre_circ F B) (tptp.v1_finset_1 (tptp.k1_closure3 B F)) (tptp.r2_pboole B F E))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.l1_orders_2 A) (tptp.m1_subset_1 B (tptp.u1_struct_0 A))) (tptp.v1_waybel_0 (tptp.k2_waybel_8 A B) A))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k2_yellow_1 (tptp.u1_pre_topc 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.v1_orders_2 _let_1) (tptp.v2_orders_2 _let_1) (tptp.v3_orders_2 _let_1) (tptp.v4_orders_2 _let_1) (tptp.v1_lattice3 _let_1) (tptp.v2_lattice3 _let_1) (tptp.v3_lattice3 _let_1) (tptp.v1_yellow_0 _let_1) (tptp.v2_yellow_0 _let_1) (tptp.v3_yellow_0 _let_1) (tptp.v24_waybel_0 _let_1) (tptp.v25_waybel_0 _let_1) (tptp.v2_waybel_1 _let_1) (not (tptp.v3_realset2 _let_1)))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_lattice3 A) (tptp.l1_orders_2 A)) (not (tptp.v1_xboole_0 (tptp.k5_waybel11 A))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_finset_1 B) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 A)))) (exists ((C $$unsorted)) (and (tptp.v1_finset_1 C) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 A))) (tptp.r1_tarski C B) (= (tptp.k5_setfam_1 A C) (tptp.k5_setfam_1 A B)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 A))) (=> (tptp.m1_subset_1 D _let_1) (not (and (tptp.r2_hidden D C) (tptp.r1_tarski D (tptp.k5_setfam_1 A (tptp.k6_subset_1 _let_1 C (tptp.k6_domain_1 _let_1 D))))))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_struct_0 A) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 _let_1)) (= (= (tptp.k3_subset_1 _let_1 B) _let_1) (tptp.v1_xboole_0 B))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 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.k6_waybel_0 A (tptp.k12_lattice3 A B C)) (tptp.k5_subset_1 _let_1 (tptp.k6_waybel_0 A B) (tptp.k6_waybel_0 A C)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 C _let_1) (= (tptp.k7_waybel_0 A (tptp.k13_lattice3 A B C)) (tptp.k5_subset_1 _let_1 (tptp.k7_waybel_0 A B) (tptp.k7_waybel_0 A C)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_orders_2 A) (tptp.v3_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k1_yellow_0 A B))) (=> (and (tptp.v12_waybel_0 B A) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (=> (tptp.r2_hidden _let_1 B) (= B (tptp.k6_waybel_0 A _let_1)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_orders_2 A) (tptp.v3_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k2_yellow_0 A B))) (=> (and (tptp.v13_waybel_0 B A) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (=> (tptp.r2_hidden _let_1 B) (= B (tptp.k7_waybel_0 A _let_1)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.l1_orders_2 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_waybel_3 A B C) (tptp.r1_tarski (tptp.k7_waybel_0 A C) (tptp.k2_waybel_3 A B))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (tptp.r1_waybel_3 A B C) (tptp.r1_tarski (tptp.k6_waybel_0 A B) (tptp.k1_waybel_3 A C))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v4_orders_2 A) (tptp.v3_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (and (tptp.r3_orders_2 A (tptp.k1_yellow_0 A (tptp.k1_waybel_3 A B)) B) (tptp.r3_orders_2 A B (tptp.k2_yellow_0 A (tptp.k2_waybel_3 A B)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_orders_2 A) (tptp.v1_yellow_0 A) (tptp.l1_orders_2 A)) (= (tptp.k7_waybel_0 A (tptp.k3_yellow_0 A)) (tptp.u1_struct_0 A)))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_orders_2 A) (tptp.v2_yellow_0 A) (tptp.l1_orders_2 A)) (= (tptp.k6_waybel_0 A (tptp.k4_yellow_0 A)) (tptp.u1_struct_0 A)))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.l1_orders_2 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_tarski (tptp.k2_yellow_4 A (tptp.k2_waybel_3 A B) (tptp.k2_waybel_3 A C)) (tptp.k7_waybel_0 A (tptp.k13_lattice3 A B C))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (tptp.r1_tarski (tptp.k4_yellow_4 A (tptp.k1_waybel_3 A B) (tptp.k1_waybel_3 A C)) (tptp.k6_waybel_0 A (tptp.k12_lattice3 A B C))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (= (tptp.v6_waybel_6 B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (not (and (tptp.r3_orders_2 A B (tptp.k13_lattice3 A C D)) (not (tptp.r3_orders_2 A B C)) (not (tptp.r3_orders_2 A B D))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (tptp.v2_yellow_8 B A) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k2_yellow_1 (tptp.u1_pre_topc A)))) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 _let_1)) (=> (= C (tptp.k3_subset_1 (tptp.u1_struct_0 A) B)) (tptp.v5_waybel_6 C _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.u1_struct_0 (tptp.k2_yellow_1 (tptp.u1_pre_topc A)))) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k2_yellow_1 (tptp.u1_pre_topc A)))) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 _let_1)) (and (= (tptp.k13_lattice3 _let_1 B C) (tptp.k2_xboole_0 B C)) (= (tptp.k12_lattice3 _let_1 B C) (tptp.k3_xboole_0 B C)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k2_yellow_1 (tptp.u1_pre_topc A)))) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 _let_1)) (= (tptp.v5_waybel_6 B _let_1) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 (tptp.k2_yellow_1 (tptp.u1_pre_topc A)))) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 (tptp.k2_yellow_1 (tptp.u1_pre_topc A)))) (not (and (tptp.r1_tarski (tptp.k3_xboole_0 C D) B) (not (tptp.r1_tarski C B)) (not (tptp.r1_tarski D B)))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k2_yellow_1 (tptp.u1_pre_topc A)))) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 _let_1)) (= (tptp.v6_waybel_6 B _let_1) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 (tptp.k2_yellow_1 (tptp.u1_pre_topc A)))) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 (tptp.k2_yellow_1 (tptp.u1_pre_topc A)))) (not (and (tptp.r1_tarski B (tptp.k2_xboole_0 C D)) (not (tptp.r1_tarski B C)) (not (tptp.r1_tarski B D)))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (tptp.v2_pre_topc B) (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.v1_lattice3 B) (tptp.v2_lattice3 B) (tptp.l1_waybel_9 B)) (forall ((C $$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)) (let ((_let_1 (tptp.u1_struct_0 B))) (=> (tptp.m1_subset_1 E (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 _let_1))) (=> (and (= (tptp.g1_pre_topc (tptp.u1_struct_0 A) (tptp.u1_pre_topc A)) (tptp.g1_pre_topc _let_1 (tptp.u1_pre_topc B))) (= C D) (tptp.m1_yellow_8 E B D)) (tptp.m1_yellow_8 E A C))))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.l1_waybel_9 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (=> (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (tptp.v3_pre_topc C A) (tptp.v13_waybel_0 C A)))) (tptp.v6_compts_1 (tptp.k7_waybel_0 A B) A)))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_lattice3 A) (tptp.v4_waybel11 A) (tptp.l1_waybel_9 A)) (= (tptp.k5_waybel11 A) (tptp.u1_pre_topc A)))) (forall ((A $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_lattice3 A) (tptp.v4_waybel11 A) (tptp.l1_waybel_9 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (tptp.r2_hidden B (tptp.k5_waybel11 A)) (tptp.v3_pre_topc B A)))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_lattice3 A) (tptp.v4_waybel11 A) (tptp.l1_waybel_9 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (and (tptp.v3_pre_topc C A) (tptp.r2_hidden B C)) (tptp.r1_waybel_3 A (tptp.k2_yellow_0 A C) B)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.u1_struct_0 (tptp.k3_yellow_3 A A)))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_2 _let_1) (tptp.m2_relset_1 B _let_2 _let_1)) (= (tptp.v1_waybel14 B A) (forall ((C $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.v2_pre_topc C) (tptp.l1_pre_topc C)) (not (and (= (tptp.g1_pre_topc (tptp.u1_struct_0 C) (tptp.u1_pre_topc C)) (tptp.k14_yellow_6 A (tptp.k2_waybel11 A))) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k6_borsuk_1 C C))) (let ((_let_2 (tptp.u1_struct_0 C))) (let ((_let_3 (tptp.u1_struct_0 _let_1))) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D _let_3 _let_2) (tptp.m2_relset_1 D _let_3 _let_2)) (not (and (= D B) (tptp.v5_pre_topc D _let_1 C))))))))))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_lattice3 A) (tptp.v4_waybel11 A) (tptp.l1_waybel_9 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_yellow_1 (tptp.k5_waybel11 A)))) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 _let_1)) (=> (= C B) (= (tptp.v6_waybel_6 C _let_1) (and (tptp.v2_waybel_0 B A) (tptp.v13_waybel_0 B A))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_lattice3 A) (tptp.v4_waybel11 A) (tptp.l1_waybel_9 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k2_yellow_1 (tptp.k5_waybel11 A)))) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 _let_1)) (=> (= C B) (or (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 D _let_1) (not (= B (tptp.k3_subset_1 _let_1 (tptp.k6_waybel_0 A D))))))) (and (tptp.v5_waybel_6 C _let_1) (not (= C (tptp.u1_struct_0 A))))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_lattice3 A) (tptp.v4_waybel11 A) (tptp.l1_waybel_9 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k2_yellow_1 (tptp.k5_waybel11 A)))) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 _let_1)) (not (and (= C B) (tptp.v1_waybel14 (tptp.k5_waybel_2 A) A) (tptp.v5_waybel_6 C _let_1) (not (= C (tptp.u1_struct_0 A))) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 D _let_1) (not (= B (tptp.k3_subset_1 _let_1 (tptp.k6_waybel_0 A D)))))))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_lattice3 A) (tptp.v4_waybel11 A) (tptp.l1_waybel_9 A)) (=> (tptp.v3_waybel_3 A) (tptp.v1_waybel14 (tptp.k5_waybel_2 A) A)))) (forall ((A $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_lattice3 A) (tptp.v4_waybel11 A) (tptp.l1_waybel_9 A)) (=> (tptp.v1_waybel14 (tptp.k5_waybel_2 A) A) (tptp.v3_yellow_8 A)))) (forall ((A $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_lattice3 A) (tptp.v4_waybel11 A) (tptp.l1_waybel_9 A)) (=> (tptp.v3_waybel_3 A) (and (tptp.v2_compts_1 A) (tptp.v6_waybel_3 A) (tptp.v3_yellow_8 A) (tptp.v1_yellow_8 A))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_lattice3 A) (tptp.v4_waybel11 A) (tptp.l1_waybel_9 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (not (and (tptp.v3_waybel_3 A) (forall ((C $$unsorted)) (=> (tptp.m1_yellow_8 C A B) (exists ((D $$unsorted)) (and (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (tptp.r2_hidden D C) (not (and (tptp.v3_pre_topc D A) (tptp.v2_waybel_0 D A))))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_lattice3 A) (tptp.v4_waybel11 A) (tptp.l1_waybel_9 A)) (=> (tptp.v3_waybel_3 A) (tptp.v3_waybel_3 (tptp.k2_yellow_1 (tptp.k5_waybel11 A)))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_lattice3 A) (tptp.v4_waybel11 A) (tptp.l1_waybel_9 A)) (= (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (exists ((C $$unsorted)) (and (tptp.m1_yellow_8 C A B) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (tptp.r2_hidden D C) (and (tptp.v3_pre_topc D A) (tptp.v2_waybel_0 D A))))))))) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 (tptp.k2_yellow_1 (tptp.k5_waybel11 A)))) (exists ((C $$unsorted)) (let ((_let_1 (tptp.k2_yellow_1 (tptp.k5_waybel11 A)))) (and (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 _let_1))) (= B (tptp.k1_yellow_0 _let_1 C)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k2_yellow_1 (tptp.k5_waybel11 A)))) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 _let_1)) (=> (tptp.r2_hidden D C) (tptp.v6_waybel_6 D _let_1))))))))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k2_yellow_1 (tptp.k5_waybel11 A)))) (=> (and (tptp.v2_pre_topc A) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_lattice3 A) (tptp.v4_waybel11 A) (tptp.l1_waybel_9 A)) (= (and (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 (tptp.k2_yellow_1 (tptp.k5_waybel11 A)))) (exists ((C $$unsorted)) (let ((_let_1 (tptp.k2_yellow_1 (tptp.k5_waybel11 A)))) (and (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 _let_1))) (= B (tptp.k1_yellow_0 _let_1 C)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k2_yellow_1 (tptp.k5_waybel11 A)))) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 _let_1)) (=> (tptp.r2_hidden D C) (tptp.v6_waybel_6 D _let_1)))))))))) (tptp.v3_waybel_3 _let_1)) (tptp.v1_waybel_5 _let_1))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k2_yellow_1 (tptp.k5_waybel11 A)))) (=> (and (tptp.v2_pre_topc A) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_lattice3 A) (tptp.v4_waybel11 A) (tptp.l1_waybel_9 A)) (= (tptp.v1_waybel_5 _let_1) (and (tptp.v3_waybel_3 _let_1) (tptp.v3_waybel_3 (tptp.k7_lattice3 _let_1))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v3_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (= (tptp.k6_waybel_0 A (tptp.k2_yellow_0 A B)) (tptp.k1_setfam_1 (tptp.a_2_0_waybel14 A B))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v3_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (= (tptp.k7_waybel_0 A (tptp.k1_yellow_0 A B)) (tptp.k1_setfam_1 (tptp.a_2_1_waybel14 A B))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_lattice3 A) (tptp.v4_waybel11 A) (tptp.l1_waybel_9 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 (tptp.k2_yellow_1 (tptp.k5_waybel11 A))))) (forall ((C $$unsorted)) (=> (and (tptp.v2_waybel_0 C A) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (=> (= B (tptp.a_2_2_waybel14 A C)) (tptp.v1_waybel_0 B (tptp.k2_yellow_1 (tptp.k5_waybel11 A)))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_lattice3 A) (tptp.v4_waybel11 A) (tptp.l1_waybel_9 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (and (tptp.v3_waybel_3 A) (tptp.r2_hidden B (tptp.k5_waybel11 A))) (= B (tptp.k3_tarski (tptp.a_2_3_waybel14 A B)))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_lattice3 A) (tptp.v4_waybel11 A) (tptp.l1_waybel_9 A)) (=> (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (tptp.r2_hidden B (tptp.k5_waybel11 A)) (= B (tptp.k3_tarski (tptp.a_2_3_waybel14 A B)))))) (tptp.v3_waybel_3 A)))) (forall ((A $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_lattice3 A) (tptp.v4_waybel11 A) (tptp.l1_waybel_9 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (=> (and (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (exists ((D $$unsorted)) (and (tptp.m1_yellow_8 D A C) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (tptp.r2_hidden E D) (and (tptp.v3_pre_topc E A) (tptp.v2_waybel_0 E A))))))))) (tptp.v3_waybel_3 (tptp.k2_yellow_1 (tptp.k5_waybel11 A)))) (= B (tptp.k1_yellow_0 A (tptp.a_2_4_waybel14 A B)))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_lattice3 A) (tptp.v4_waybel11 A) (tptp.l1_waybel_9 A)) (=> (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (= B (tptp.k1_yellow_0 A (tptp.a_2_4_waybel14 A B))))) (tptp.v3_waybel_3 A)))) (forall ((A $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_lattice3 A) (tptp.v4_waybel11 A) (tptp.l1_waybel_9 A)) (not (and (tptp.v2_waybel_8 A) (forall ((B $$unsorted)) (=> (tptp.m1_cantor_1 B A) (not (= B (tptp.a_1_0_waybel14 A))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_lattice3 A) (tptp.v4_waybel11 A) (tptp.l1_waybel_9 A)) (=> (exists ((B $$unsorted)) (and (tptp.m1_cantor_1 B A) (= B (tptp.a_1_0_waybel14 A)))) (and (tptp.v2_waybel_8 (tptp.k2_yellow_1 (tptp.k5_waybel11 A))) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 (tptp.k2_yellow_1 (tptp.k5_waybel11 A)))) (exists ((C $$unsorted)) (let ((_let_1 (tptp.k2_yellow_1 (tptp.k5_waybel11 A)))) (and (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 _let_1))) (= B (tptp.k1_yellow_0 _let_1 C)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k2_yellow_1 (tptp.k5_waybel11 A)))) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 _let_1)) (=> (tptp.r2_hidden D C) (tptp.v6_waybel_6 D _let_1)))))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_lattice3 A) (tptp.v4_waybel11 A) (tptp.l1_waybel_9 A)) (not (and (tptp.v2_waybel_8 (tptp.k2_yellow_1 (tptp.k5_waybel11 A))) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 (tptp.k2_yellow_1 (tptp.k5_waybel11 A)))) (exists ((C $$unsorted)) (let ((_let_1 (tptp.k2_yellow_1 (tptp.k5_waybel11 A)))) (and (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 _let_1))) (= B (tptp.k1_yellow_0 _let_1 C)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k2_yellow_1 (tptp.k5_waybel11 A)))) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 _let_1)) (=> (tptp.r2_hidden D C) (tptp.v6_waybel_6 D _let_1)))))))))) (forall ((B $$unsorted)) (=> (tptp.m1_cantor_1 B A) (not (= B (tptp.a_1_0_waybel14 A))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_lattice3 A) (tptp.v4_waybel11 A) (tptp.l1_waybel_9 A)) (=> (exists ((B $$unsorted)) (and (tptp.m1_cantor_1 B A) (= B (tptp.a_1_0_waybel14 A)))) (tptp.v2_waybel_8 A)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.v3_lattice3 B) (tptp.l1_orders_2 B) (not (tptp.v1_xboole_0 C)) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B)))) (= (tptp.r2_hidden A (tptp.a_2_0_waybel14 B C)) (exists ((D $$unsorted)) (and (tptp.m1_subset_1 D (tptp.u1_struct_0 B)) (= A (tptp.k6_waybel_0 B D)) (tptp.r2_hidden D C)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.v3_lattice3 B) (tptp.l1_orders_2 B) (not (tptp.v1_xboole_0 C)) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B)))) (= (tptp.r2_hidden A (tptp.a_2_1_waybel14 B C)) (exists ((D $$unsorted)) (and (tptp.m1_subset_1 D (tptp.u1_struct_0 B)) (= A (tptp.k7_waybel_0 B D)) (tptp.r2_hidden D C)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v2_pre_topc B) (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.v1_lattice3 B) (tptp.v2_lattice3 B) (tptp.v3_lattice3 B) (tptp.v4_waybel11 B) (tptp.l1_waybel_9 B) (tptp.v2_waybel_0 C B) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B)))) (= (tptp.r2_hidden A (tptp.a_2_2_waybel14 B C)) (exists ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (and (tptp.m1_subset_1 D _let_1) (= A (tptp.k3_subset_1 _let_1 (tptp.k6_waybel_0 B D))) (tptp.r2_hidden D C))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v2_pre_topc B) (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.v1_lattice3 B) (tptp.v2_lattice3 B) (tptp.v3_lattice3 B) (tptp.v4_waybel11 B) (tptp.l1_waybel_9 B) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B)))) (= (tptp.r2_hidden A (tptp.a_2_3_waybel14 B C)) (exists ((D $$unsorted)) (and (tptp.m1_subset_1 D (tptp.u1_struct_0 B)) (= A (tptp.k2_waybel_3 B D)) (tptp.r2_hidden D C)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v2_pre_topc B) (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.v1_lattice3 B) (tptp.v2_lattice3 B) (tptp.v3_lattice3 B) (tptp.v4_waybel11 B) (tptp.l1_waybel_9 B) (tptp.m1_subset_1 C (tptp.u1_struct_0 B))) (= (tptp.r2_hidden A (tptp.a_2_4_waybel14 B C)) (exists ((D $$unsorted)) (and (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B))) (= A (tptp.k2_yellow_0 B D)) (tptp.r2_hidden C D) (tptp.r2_hidden D (tptp.k5_waybel11 B))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v2_pre_topc B) (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.v1_lattice3 B) (tptp.v2_lattice3 B) (tptp.v3_lattice3 B) (tptp.v4_waybel11 B) (tptp.l1_waybel_9 B)) (= (tptp.r2_hidden A (tptp.a_1_0_waybel14 B)) (exists ((C $$unsorted)) (and (tptp.m1_subset_1 C (tptp.u1_struct_0 B)) (= A (tptp.k7_waybel_0 B C)) (tptp.r2_hidden C (tptp.u1_struct_0 (tptp.k1_waybel_8 B)))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v12_altcat_1 A) (tptp.l2_altcat_1 A) (tptp.m1_subset_1 B (tptp.u1_struct_0 A))) (not (tptp.v1_xboole_0 (tptp.k1_altcat_1 A B B))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k8_altcat_1 A B))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v12_altcat_1 A) (tptp.l2_altcat_1 A) (tptp.m1_subset_1 B (tptp.u1_struct_0 A))) (and (tptp.v1_altcat_3 _let_1 A B B) (tptp.v2_altcat_3 _let_1 A B B) (tptp.v4_altcat_3 _let_1 A B B) (tptp.v5_altcat_3 _let_1 A B B))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k8_altcat_1 A B))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_altcat_1 A) (tptp.v11_altcat_1 A) (tptp.v12_altcat_1 A) (tptp.l2_altcat_1 A) (tptp.m1_subset_1 B (tptp.u1_struct_0 A))) (and (tptp.v1_altcat_3 _let_1 A B B) (tptp.v2_altcat_3 _let_1 A B B) (tptp.v3_altcat_3 _let_1 A B B) (tptp.v4_altcat_3 _let_1 A B B) (tptp.v5_altcat_3 _let_1 A B B))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_altcat_1 A) (tptp.v11_altcat_1 A) (tptp.v12_altcat_1 A) (tptp.l2_altcat_1 A)) (exists ((B $$unsorted)) (and (tptp.m1_altcat_2 B A) (not (tptp.v3_struct_0 B)) (tptp.v2_altcat_1 B) (tptp.v6_altcat_1 B) (tptp.v11_altcat_1 B) (tptp.v12_altcat_1 B) (tptp.v1_altcat_2 B) (tptp.v2_altcat_2 B A) (tptp.v3_altcat_2 B A))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k1_altcat_4 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_altcat_1 A) (tptp.v11_altcat_1 A) (tptp.v12_altcat_1 A) (tptp.l2_altcat_1 A)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v2_altcat_1 _let_1) (tptp.v6_altcat_1 _let_1) (tptp.v11_altcat_1 _let_1) (tptp.v12_altcat_1 _let_1) (tptp.v1_altcat_2 _let_1) (tptp.v3_altcat_2 _let_1 A))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k2_altcat_4 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_altcat_1 A) (tptp.v11_altcat_1 A) (tptp.v12_altcat_1 A) (tptp.l2_altcat_1 A)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v2_altcat_1 _let_1) (tptp.v6_altcat_1 _let_1) (tptp.v11_altcat_1 _let_1) (tptp.v12_altcat_1 _let_1) (tptp.v1_altcat_2 _let_1) (tptp.v3_altcat_2 _let_1 A))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k3_altcat_4 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_altcat_1 A) (tptp.v11_altcat_1 A) (tptp.v12_altcat_1 A) (tptp.l2_altcat_1 A)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v2_altcat_1 _let_1) (tptp.v6_altcat_1 _let_1) (tptp.v11_altcat_1 _let_1) (tptp.v12_altcat_1 _let_1) (tptp.v1_altcat_2 _let_1) (tptp.v3_altcat_2 _let_1 A))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k4_altcat_4 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_altcat_1 A) (tptp.v11_altcat_1 A) (tptp.v12_altcat_1 A) (tptp.l2_altcat_1 A)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v2_altcat_1 _let_1) (tptp.v6_altcat_1 _let_1) (tptp.v11_altcat_1 _let_1) (tptp.v12_altcat_1 _let_1) (tptp.v1_altcat_2 _let_1) (tptp.v3_altcat_2 _let_1 A))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k5_altcat_4 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_altcat_1 A) (tptp.v11_altcat_1 A) (tptp.v12_altcat_1 A) (tptp.l2_altcat_1 A)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v2_altcat_1 _let_1) (tptp.v6_altcat_1 _let_1) (tptp.v11_altcat_1 _let_1) (tptp.v12_altcat_1 _let_1) (tptp.v1_altcat_2 _let_1) (tptp.v3_altcat_2 _let_1 A))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_altcat_1 A) (tptp.v11_altcat_1 A) (tptp.v12_altcat_1 A) (tptp.l2_altcat_1 A)) (forall ((B $$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 $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.k1_altcat_1 A B C)) (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F (tptp.k1_altcat_1 A B D)) (forall ((G $$unsorted)) (let ((_let_1 (tptp.k1_altcat_3 A C D G))) (let ((_let_2 (tptp.k1_altcat_1 A C D))) (=> (tptp.m1_subset_1 G _let_2) (=> (and (= F (tptp.k5_altcat_1 A B C D E G)) (= (tptp.k5_altcat_1 A C D C G _let_1) (tptp.k8_altcat_1 A C))) (or (= (tptp.k1_altcat_1 A B C) tptp.k1_xboole_0) (= _let_2 tptp.k1_xboole_0) (= (tptp.k1_altcat_1 A D C) tptp.k1_xboole_0) (= E (tptp.k5_altcat_1 A B D C F _let_1)))))))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_altcat_1 A) (tptp.v11_altcat_1 A) (tptp.v12_altcat_1 A) (tptp.l2_altcat_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.k1_altcat_1 A B C)) (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F (tptp.k1_altcat_1 A D C)) (forall ((G $$unsorted)) (let ((_let_1 (tptp.k1_altcat_3 A D B G))) (let ((_let_2 (tptp.k1_altcat_1 A D B))) (=> (tptp.m1_subset_1 G _let_2) (=> (and (= F (tptp.k5_altcat_1 A D B C G E)) (= (tptp.k5_altcat_1 A B D B _let_1 G) (tptp.k8_altcat_1 A B))) (or (= _let_2 tptp.k1_xboole_0) (= (tptp.k1_altcat_1 A B D) tptp.k1_xboole_0) (= (tptp.k1_altcat_1 A B C) tptp.k1_xboole_0) (= E (tptp.k5_altcat_1 A B D C _let_1 F)))))))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_altcat_1 A) (tptp.v11_altcat_1 A) (tptp.v12_altcat_1 A) (tptp.l2_altcat_1 A)) (forall ((B $$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_altcat_1 A B C))) (=> (tptp.m1_subset_1 D _let_1) (=> (tptp.v3_altcat_3 D A B C) (or (= _let_1 tptp.k1_xboole_0) (= (tptp.k1_altcat_1 A C B) tptp.k1_xboole_0) (tptp.v3_altcat_3 (tptp.k1_altcat_3 A B C D) A C B)))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v12_altcat_1 A) (tptp.l2_altcat_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k8_altcat_1 A B))) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (and (tptp.v5_altcat_3 _let_1 A B B) (tptp.v4_altcat_3 _let_1 A B B))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_altcat_1 A) (tptp.v11_altcat_1 A) (tptp.v12_altcat_1 A) (tptp.l2_altcat_1 A)) (forall ((B $$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.k1_altcat_1 A B C)) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.k1_altcat_1 A C B)) (forall ((F $$unsorted)) (let ((_let_1 (tptp.k1_altcat_1 A C B))) (=> (tptp.m1_subset_1 F _let_1) (=> (and (= (tptp.k5_altcat_1 A B C B D F) (tptp.k8_altcat_1 A B)) (= (tptp.k5_altcat_1 A C B C E D) (tptp.k8_altcat_1 A C))) (or (= (tptp.k1_altcat_1 A B C) tptp.k1_xboole_0) (= _let_1 tptp.k1_xboole_0) (= E F)))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_altcat_1 A) (tptp.v11_altcat_1 A) (tptp.v12_altcat_1 A) (tptp.l2_altcat_1 A)) (=> (forall ((B $$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.k1_altcat_1 A B C)) (tptp.v2_altcat_3 D A B C))))))) (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 $$unsorted)) (let ((_let_1 (tptp.k1_altcat_1 A B C))) (=> (tptp.m1_subset_1 D _let_1) (not (and (not (= _let_1 tptp.k1_xboole_0)) (not (= (tptp.k1_altcat_1 A C B) tptp.k1_xboole_0)) (not (tptp.v3_altcat_3 D A B C)))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_altcat_1 A) (tptp.v11_altcat_1 A) (tptp.v12_altcat_1 A) (tptp.l2_altcat_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 $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_altcat_1 A B C)) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.k1_altcat_1 A B C)) (=> (and (tptp.v9_altcat_3 D A B C) (tptp.v9_altcat_3 E A B C)) (or (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F (tptp.u1_struct_0 A)) (not (tptp.v8_altcat_3 F A)))) (= D E))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l2_altcat_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 $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_altcat_1 A B C)) (=> (tptp.v7_altcat_3 B A) (tptp.v4_altcat_3 D A B C)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l2_altcat_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 $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_altcat_1 A C B)) (=> (tptp.v6_altcat_3 B A) (tptp.v5_altcat_3 D A C B)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_altcat_1 A) (tptp.v11_altcat_1 A) (tptp.v12_altcat_1 A) (tptp.l2_altcat_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.v7_altcat_3 B A) (tptp.r2_altcat_3 A C B)) (tptp.v7_altcat_3 C A)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_altcat_1 A) (tptp.v11_altcat_1 A) (tptp.v12_altcat_1 A) (tptp.l2_altcat_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (=> (and (tptp.v6_altcat_3 B A) (tptp.r2_altcat_3 A B C)) (tptp.v6_altcat_3 C A)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_altcat_1 A) (tptp.v11_altcat_1 A) (tptp.v12_altcat_1 A) (tptp.l2_altcat_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.v6_altcat_3 B A) (tptp.v7_altcat_3 C A)) (or (= (tptp.k1_altcat_1 A C B) tptp.k1_xboole_0) (and (tptp.v6_altcat_3 C A) (tptp.v7_altcat_3 B A)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_altcat_1 A) (tptp.v12_altcat_1 A) (tptp.l2_altcat_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_altcat_1 B) (tptp.v12_altcat_1 B) (tptp.l2_altcat_1 B)) (forall ((C $$unsorted)) (=> (and (tptp.v16_functor0 C A B) (tptp.m2_functor0 C A B)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (= (tptp.k8_functor0 A B C D D (tptp.k8_altcat_1 A D)) (tptp.k8_altcat_1 B (tptp.k3_functor0 A B C D))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l2_altcat_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.l2_altcat_1 B)) (forall ((C $$unsorted)) (=> (and (tptp.v11_functor0 C A B) (tptp.l2_functor0 C A B)) (= (tptp.v18_functor0 C A B) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.u1_struct_0 A)) (tptp.v2_funct_2 (tptp.k7_functor0 A B C E D) (tptp.k1_altcat_1 A E D) (tptp.k1_altcat_1 B (tptp.k3_functor0 A B C D) (tptp.k3_functor0 A B C E)))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l2_altcat_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.l2_altcat_1 B)) (forall ((C $$unsorted)) (=> (and (tptp.v11_functor0 C A B) (tptp.l2_functor0 C A B)) (= (tptp.v17_functor0 C A B) (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.v2_funct_1 (tptp.k7_functor0 A B C E D))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l2_altcat_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.l2_altcat_1 B)) (forall ((C $$unsorted)) (=> (and (tptp.v10_functor0 C A B) (tptp.l2_functor0 C A B)) (forall ((D $$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.k1_altcat_1 B (tptp.k3_functor0 A B C D) (tptp.k3_functor0 A B C E))) (not (and (not (= (tptp.k1_altcat_1 A D E) tptp.k1_xboole_0)) (tptp.v18_functor0 C A B) (tptp.v8_functor0 C A B) (forall ((G $$unsorted)) (=> (tptp.m1_subset_1 G (tptp.k1_altcat_1 A D E)) (not (= F (tptp.k6_functor0 A B C D E G))))))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l2_altcat_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.l2_altcat_1 B)) (forall ((C $$unsorted)) (=> (and (tptp.v11_functor0 C A B) (tptp.l2_functor0 C A B)) (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 $$unsorted)) (=> (tptp.m1_subset_1 F (tptp.k1_altcat_1 B (tptp.k3_functor0 A B C E) (tptp.k3_functor0 A B C D))) (not (and (not (= (tptp.k1_altcat_1 A D E) tptp.k1_xboole_0)) (tptp.v18_functor0 C A B) (tptp.v8_functor0 C A B) (forall ((G $$unsorted)) (=> (tptp.m1_subset_1 G (tptp.k1_altcat_1 A D E)) (not (= F (tptp.k8_functor0 A B C D E G))))))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_altcat_1 A) (tptp.v12_altcat_1 A) (tptp.l2_altcat_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_altcat_1 B) (tptp.v12_altcat_1 B) (tptp.l2_altcat_1 B)) (forall ((C $$unsorted)) (=> (and (tptp.v15_functor0 C A B) (tptp.m2_functor0 C A B)) (forall ((D $$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.k1_altcat_1 A D E))) (=> (tptp.m1_subset_1 F _let_1) (=> (tptp.v1_altcat_3 F A D E) (or (= _let_1 tptp.k1_xboole_0) (= (tptp.k1_altcat_1 A E D) tptp.k1_xboole_0) (tptp.v1_altcat_3 (tptp.k6_functor0 A B C D E F) B (tptp.k3_functor0 A B C D) (tptp.k3_functor0 A B C E))))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_altcat_1 A) (tptp.v12_altcat_1 A) (tptp.l2_altcat_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_altcat_1 B) (tptp.v12_altcat_1 B) (tptp.l2_altcat_1 B)) (forall ((C $$unsorted)) (=> (and (tptp.v15_functor0 C A B) (tptp.m2_functor0 C A B)) (forall ((D $$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.k1_altcat_1 A D E))) (=> (tptp.m1_subset_1 F _let_1) (=> (tptp.v2_altcat_3 F A D E) (or (= _let_1 tptp.k1_xboole_0) (= (tptp.k1_altcat_1 A E D) tptp.k1_xboole_0) (tptp.v2_altcat_3 (tptp.k6_functor0 A B C D E F) B (tptp.k3_functor0 A B C D) (tptp.k3_functor0 A B C E))))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_altcat_1 A) (tptp.v11_altcat_1 A) (tptp.v12_altcat_1 A) (tptp.l2_altcat_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_altcat_1 B) (tptp.v11_altcat_1 B) (tptp.v12_altcat_1 B) (tptp.l2_altcat_1 B)) (forall ((C $$unsorted)) (=> (and (tptp.v15_functor0 C A B) (tptp.m2_functor0 C A B)) (forall ((D $$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.k1_altcat_1 A D E))) (=> (tptp.m1_subset_1 F _let_1) (=> (tptp.v3_altcat_3 F A D E) (or (= _let_1 tptp.k1_xboole_0) (= (tptp.k1_altcat_1 A E D) tptp.k1_xboole_0) (tptp.v3_altcat_3 (tptp.k6_functor0 A B C D E F) B (tptp.k3_functor0 A B C D) (tptp.k3_functor0 A B C E))))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_altcat_1 A) (tptp.v11_altcat_1 A) (tptp.v12_altcat_1 A) (tptp.l2_altcat_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_altcat_1 B) (tptp.v11_altcat_1 B) (tptp.v12_altcat_1 B) (tptp.l2_altcat_1 B)) (forall ((C $$unsorted)) (=> (and (tptp.v15_functor0 C A B) (tptp.m2_functor0 C A B)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.u1_struct_0 A)) (=> (tptp.r2_altcat_3 A D E) (tptp.r2_altcat_3 B (tptp.k3_functor0 A B C D) (tptp.k3_functor0 A B C E))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_altcat_1 A) (tptp.v12_altcat_1 A) (tptp.l2_altcat_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_altcat_1 B) (tptp.v12_altcat_1 B) (tptp.l2_altcat_1 B)) (forall ((C $$unsorted)) (=> (and (tptp.v16_functor0 C A B) (tptp.m2_functor0 C A B)) (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 $$unsorted)) (let ((_let_1 (tptp.k1_altcat_1 A D E))) (=> (tptp.m1_subset_1 F _let_1) (=> (tptp.v1_altcat_3 F A D E) (or (= _let_1 tptp.k1_xboole_0) (= (tptp.k1_altcat_1 A E D) tptp.k1_xboole_0) (tptp.v2_altcat_3 (tptp.k8_functor0 A B C D E F) B (tptp.k3_functor0 A B C E) (tptp.k3_functor0 A B C D))))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_altcat_1 A) (tptp.v12_altcat_1 A) (tptp.l2_altcat_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_altcat_1 B) (tptp.v12_altcat_1 B) (tptp.l2_altcat_1 B)) (forall ((C $$unsorted)) (=> (and (tptp.v16_functor0 C A B) (tptp.m2_functor0 C A B)) (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 $$unsorted)) (let ((_let_1 (tptp.k1_altcat_1 A D E))) (=> (tptp.m1_subset_1 F _let_1) (=> (tptp.v2_altcat_3 F A D E) (or (= _let_1 tptp.k1_xboole_0) (= (tptp.k1_altcat_1 A E D) tptp.k1_xboole_0) (tptp.v1_altcat_3 (tptp.k8_functor0 A B C D E F) B (tptp.k3_functor0 A B C E) (tptp.k3_functor0 A B C D))))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_altcat_1 A) (tptp.v11_altcat_1 A) (tptp.v12_altcat_1 A) (tptp.l2_altcat_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_altcat_1 B) (tptp.v11_altcat_1 B) (tptp.v12_altcat_1 B) (tptp.l2_altcat_1 B)) (forall ((C $$unsorted)) (=> (and (tptp.v16_functor0 C A B) (tptp.m2_functor0 C A B)) (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 $$unsorted)) (let ((_let_1 (tptp.k1_altcat_1 A D E))) (=> (tptp.m1_subset_1 F _let_1) (=> (tptp.v3_altcat_3 F A D E) (or (= _let_1 tptp.k1_xboole_0) (= (tptp.k1_altcat_1 A E D) tptp.k1_xboole_0) (tptp.v3_altcat_3 (tptp.k8_functor0 A B C D E F) B (tptp.k3_functor0 A B C E) (tptp.k3_functor0 A B C D))))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_altcat_1 A) (tptp.v11_altcat_1 A) (tptp.v12_altcat_1 A) (tptp.l2_altcat_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_altcat_1 B) (tptp.v11_altcat_1 B) (tptp.v12_altcat_1 B) (tptp.l2_altcat_1 B)) (forall ((C $$unsorted)) (=> (and (tptp.v16_functor0 C A B) (tptp.m2_functor0 C A B)) (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.r2_altcat_3 A D E) (tptp.r2_altcat_3 B (tptp.k3_functor0 A B C E) (tptp.k3_functor0 A B C D))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_altcat_1 A) (tptp.v12_altcat_1 A) (tptp.l2_altcat_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_altcat_1 B) (tptp.v12_altcat_1 B) (tptp.l2_altcat_1 B)) (forall ((C $$unsorted)) (=> (and (tptp.v15_functor0 C A B) (tptp.m2_functor0 C A B)) (forall ((D $$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.k1_altcat_1 A D E))) (=> (tptp.m1_subset_1 F _let_1) (=> (and (tptp.v18_functor0 C A B) (tptp.v17_functor0 C A B) (tptp.v1_altcat_3 (tptp.k6_functor0 A B C D E F) B (tptp.k3_functor0 A B C D) (tptp.k3_functor0 A B C E))) (or (= _let_1 tptp.k1_xboole_0) (= (tptp.k1_altcat_1 A E D) tptp.k1_xboole_0) (tptp.v1_altcat_3 F A D E)))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_altcat_1 A) (tptp.v12_altcat_1 A) (tptp.l2_altcat_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_altcat_1 B) (tptp.v12_altcat_1 B) (tptp.l2_altcat_1 B)) (forall ((C $$unsorted)) (=> (and (tptp.v15_functor0 C A B) (tptp.m2_functor0 C A B)) (forall ((D $$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.k1_altcat_1 A D E))) (=> (tptp.m1_subset_1 F _let_1) (=> (and (tptp.v18_functor0 C A B) (tptp.v17_functor0 C A B) (tptp.v2_altcat_3 (tptp.k6_functor0 A B C D E F) B (tptp.k3_functor0 A B C D) (tptp.k3_functor0 A B C E))) (or (= _let_1 tptp.k1_xboole_0) (= (tptp.k1_altcat_1 A E D) tptp.k1_xboole_0) (tptp.v2_altcat_3 F A D E)))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_altcat_1 A) (tptp.v11_altcat_1 A) (tptp.v12_altcat_1 A) (tptp.l2_altcat_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_altcat_1 B) (tptp.v11_altcat_1 B) (tptp.v12_altcat_1 B) (tptp.l2_altcat_1 B)) (forall ((C $$unsorted)) (=> (and (tptp.v15_functor0 C A B) (tptp.m2_functor0 C A B)) (forall ((D $$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.k1_altcat_1 A D E))) (=> (tptp.m1_subset_1 F _let_1) (=> (and (tptp.v18_functor0 C A B) (tptp.v17_functor0 C A B) (tptp.v3_altcat_3 (tptp.k6_functor0 A B C D E F) B (tptp.k3_functor0 A B C D) (tptp.k3_functor0 A B C E))) (or (= _let_1 tptp.k1_xboole_0) (= (tptp.k1_altcat_1 A E D) tptp.k1_xboole_0) (tptp.v3_altcat_3 F A D E)))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_altcat_1 A) (tptp.v11_altcat_1 A) (tptp.v12_altcat_1 A) (tptp.l2_altcat_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_altcat_1 B) (tptp.v11_altcat_1 B) (tptp.v12_altcat_1 B) (tptp.l2_altcat_1 B)) (forall ((C $$unsorted)) (=> (and (tptp.v15_functor0 C A B) (tptp.m2_functor0 C A B)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.u1_struct_0 A)) (=> (and (tptp.v18_functor0 C A B) (tptp.v17_functor0 C A B) (tptp.r2_altcat_3 B (tptp.k3_functor0 A B C D) (tptp.k3_functor0 A B C E))) (or (= (tptp.k1_altcat_1 A D E) tptp.k1_xboole_0) (= (tptp.k1_altcat_1 A E D) tptp.k1_xboole_0) (tptp.r2_altcat_3 A D E))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_altcat_1 A) (tptp.v12_altcat_1 A) (tptp.l2_altcat_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_altcat_1 B) (tptp.v12_altcat_1 B) (tptp.l2_altcat_1 B)) (forall ((C $$unsorted)) (=> (and (tptp.v16_functor0 C A B) (tptp.m2_functor0 C A B)) (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 $$unsorted)) (let ((_let_1 (tptp.k1_altcat_1 A D E))) (=> (tptp.m1_subset_1 F _let_1) (=> (and (tptp.v18_functor0 C A B) (tptp.v17_functor0 C A B) (tptp.v1_altcat_3 (tptp.k8_functor0 A B C D E F) B (tptp.k3_functor0 A B C E) (tptp.k3_functor0 A B C D))) (or (= _let_1 tptp.k1_xboole_0) (= (tptp.k1_altcat_1 A E D) tptp.k1_xboole_0) (tptp.v2_altcat_3 F A D E)))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_altcat_1 A) (tptp.v12_altcat_1 A) (tptp.l2_altcat_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_altcat_1 B) (tptp.v12_altcat_1 B) (tptp.l2_altcat_1 B)) (forall ((C $$unsorted)) (=> (and (tptp.v16_functor0 C A B) (tptp.m2_functor0 C A B)) (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 $$unsorted)) (let ((_let_1 (tptp.k1_altcat_1 A D E))) (=> (tptp.m1_subset_1 F _let_1) (=> (and (tptp.v18_functor0 C A B) (tptp.v17_functor0 C A B) (tptp.v2_altcat_3 (tptp.k8_functor0 A B C D E F) B (tptp.k3_functor0 A B C E) (tptp.k3_functor0 A B C D))) (or (= _let_1 tptp.k1_xboole_0) (= (tptp.k1_altcat_1 A E D) tptp.k1_xboole_0) (tptp.v1_altcat_3 F A D E)))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_altcat_1 A) (tptp.v11_altcat_1 A) (tptp.v12_altcat_1 A) (tptp.l2_altcat_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_altcat_1 B) (tptp.v11_altcat_1 B) (tptp.v12_altcat_1 B) (tptp.l2_altcat_1 B)) (forall ((C $$unsorted)) (=> (and (tptp.v16_functor0 C A B) (tptp.m2_functor0 C A B)) (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 $$unsorted)) (let ((_let_1 (tptp.k1_altcat_1 A D E))) (=> (tptp.m1_subset_1 F _let_1) (=> (and (tptp.v18_functor0 C A B) (tptp.v17_functor0 C A B) (tptp.v3_altcat_3 (tptp.k8_functor0 A B C D E F) B (tptp.k3_functor0 A B C E) (tptp.k3_functor0 A B C D))) (or (= _let_1 tptp.k1_xboole_0) (= (tptp.k1_altcat_1 A E D) tptp.k1_xboole_0) (tptp.v3_altcat_3 F A D E)))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_altcat_1 A) (tptp.v11_altcat_1 A) (tptp.v12_altcat_1 A) (tptp.l2_altcat_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_altcat_1 B) (tptp.v11_altcat_1 B) (tptp.v12_altcat_1 B) (tptp.l2_altcat_1 B)) (forall ((C $$unsorted)) (=> (and (tptp.v16_functor0 C A B) (tptp.m2_functor0 C A B)) (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.v18_functor0 C A B) (tptp.v17_functor0 C A B) (tptp.r2_altcat_3 B (tptp.k3_functor0 A B C E) (tptp.k3_functor0 A B C D))) (or (= (tptp.k1_altcat_1 A D E) tptp.k1_xboole_0) (= (tptp.k1_altcat_1 A E D) tptp.k1_xboole_0) (tptp.r2_altcat_3 A D E))))))))))))) (forall ((A $$unsorted)) (=> (tptp.l2_altcat_1 A) (forall ((B $$unsorted)) (=> (tptp.m1_altcat_2 B A) (=> (and (= (tptp.u1_struct_0 A) (tptp.u1_struct_0 B)) (= (tptp.u1_altcat_1 A) (tptp.u1_altcat_1 B))) (tptp.v2_altcat_2 B A)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v12_altcat_1 A) (tptp.l2_altcat_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_altcat_2 B A) (=> (and (= (tptp.u1_struct_0 A) (tptp.u1_struct_0 B)) (= (tptp.u1_altcat_1 A) (tptp.u1_altcat_1 B))) (and (tptp.v2_altcat_2 B A) (tptp.v3_altcat_2 B A))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_altcat_1 A) (tptp.v11_altcat_1 A) (tptp.v12_altcat_1 A) (tptp.l2_altcat_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_altcat_1 B) (tptp.v3_altcat_2 B A) (tptp.m1_altcat_2 B A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.v2_altcat_1 C))) (let ((_let_2 (not (tptp.v3_struct_0 C)))) (=> (and _let_2 _let_1 (tptp.v3_altcat_2 C B) (tptp.m1_altcat_2 C B)) (and _let_2 _let_1 (tptp.v3_altcat_2 C A) (tptp.m1_altcat_2 C A)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_altcat_1 A) (tptp.l2_altcat_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_altcat_1 B) (tptp.m1_altcat_2 B A)) (forall ((C $$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 $$unsorted)) (=> (tptp.m1_subset_1 F (tptp.u1_struct_0 B)) (forall ((G $$unsorted)) (=> (tptp.m1_subset_1 G (tptp.k1_altcat_1 A C D)) (forall ((H $$unsorted)) (let ((_let_1 (tptp.k1_altcat_1 B E F))) (=> (tptp.m1_subset_1 H _let_1) (=> (and (= E C) (= F D) (= G H)) (or (= _let_1 tptp.k1_xboole_0) (and (=> (tptp.v4_altcat_3 G A C D) (tptp.v4_altcat_3 H B E F)) (=> (tptp.v5_altcat_3 G A C D) (tptp.v5_altcat_3 H B E F)))))))))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_altcat_1 A) (tptp.v11_altcat_1 A) (tptp.v12_altcat_1 A) (tptp.l2_altcat_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_altcat_1 B) (tptp.v3_altcat_2 B A) (tptp.m1_altcat_2 B A)) (forall ((C $$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 $$unsorted)) (=> (tptp.m1_subset_1 F (tptp.u1_struct_0 B)) (forall ((G $$unsorted)) (=> (tptp.m1_subset_1 G (tptp.k1_altcat_1 A C D)) (forall ((H $$unsorted)) (=> (tptp.m1_subset_1 H (tptp.k1_altcat_1 A D C)) (forall ((I $$unsorted)) (=> (tptp.m1_subset_1 I (tptp.k1_altcat_1 B E F)) (forall ((J $$unsorted)) (let ((_let_1 (tptp.r1_altcat_3 A D C H G))) (let ((_let_2 (tptp.r1_altcat_3 B F E J I))) (let ((_let_3 (tptp.r1_altcat_3 A C D G H))) (let ((_let_4 (tptp.r1_altcat_3 B E F I J))) (let ((_let_5 (tptp.k1_altcat_1 B F E))) (=> (tptp.m1_subset_1 J _let_5) (=> (and (= E C) (= F D) (= G I) (= H J)) (or (= (tptp.k1_altcat_1 B E F) tptp.k1_xboole_0) (= _let_5 tptp.k1_xboole_0) (and (=> _let_3 _let_4) (=> _let_4 _let_3) (=> _let_1 _let_2) (=> _let_2 _let_1))))))))))))))))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_altcat_1 A) (tptp.v11_altcat_1 A) (tptp.v12_altcat_1 A) (tptp.l2_altcat_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_altcat_1 B) (tptp.v2_altcat_2 B A) (tptp.v3_altcat_2 B A) (tptp.m1_altcat_2 B A)) (forall ((C $$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 $$unsorted)) (=> (tptp.m1_subset_1 F (tptp.u1_struct_0 B)) (forall ((G $$unsorted)) (=> (tptp.m1_subset_1 G (tptp.k1_altcat_1 A C D)) (forall ((H $$unsorted)) (let ((_let_1 (tptp.k1_altcat_1 B E F))) (=> (tptp.m1_subset_1 H _let_1) (=> (and (= E C) (= F D) (= G H)) (or (= _let_1 tptp.k1_xboole_0) (= (tptp.k1_altcat_1 B F E) tptp.k1_xboole_0) (and (=> (tptp.v1_altcat_3 G A C D) (tptp.v1_altcat_3 H B E F)) (=> (tptp.v2_altcat_3 G A C D) (tptp.v2_altcat_3 H B E F)) (=> (tptp.v3_altcat_3 G A C D) (tptp.v3_altcat_3 H B E F)))))))))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_altcat_1 A) (tptp.v11_altcat_1 A) (tptp.v12_altcat_1 A) (tptp.l2_altcat_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_altcat_1 B) (tptp.v3_altcat_2 B A) (tptp.m1_altcat_2 B A)) (forall ((C $$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 $$unsorted)) (=> (tptp.m1_subset_1 F (tptp.u1_struct_0 B)) (forall ((G $$unsorted)) (=> (tptp.m1_subset_1 G (tptp.k1_altcat_1 A C D)) (forall ((H $$unsorted)) (let ((_let_1 (tptp.k1_altcat_1 B E F))) (=> (tptp.m1_subset_1 H _let_1) (=> (and (= E C) (= F D) (= G H)) (or (= _let_1 tptp.k1_xboole_0) (= (tptp.k1_altcat_1 B F E) tptp.k1_xboole_0) (and (=> (tptp.v1_altcat_3 H B E F) (tptp.v1_altcat_3 G A C D)) (=> (tptp.v2_altcat_3 H B E F) (tptp.v2_altcat_3 G A C D)) (=> (tptp.v3_altcat_3 H B E F) (tptp.v3_altcat_3 G A C D)))))))))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_altcat_1 A) (tptp.v11_altcat_1 A) (tptp.v12_altcat_1 A) (tptp.l2_altcat_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.u1_struct_0 B))) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_altcat_1 B) (tptp.v6_altcat_1 B) (tptp.m1_altcat_2 B A)) (= (= B (tptp.k1_altcat_4 A)) (and (= _let_2 _let_1) (tptp.r2_altcat_2 (tptp.k2_zfmisc_1 _let_2 _let_2) (tptp.k2_zfmisc_1 _let_1 _let_1) (tptp.u1_altcat_1 B) (tptp.u1_altcat_1 A)) (forall ((C $$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.k1_altcat_1 A C D))) (=> (tptp.m1_subset_1 E _let_1) (= (tptp.r2_hidden E (tptp.k1_binop_1 (tptp.u1_altcat_1 B) C D)) (and (not (= _let_1 tptp.k1_xboole_0)) (tptp.v4_altcat_3 E A C D)))))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_altcat_1 A) (tptp.v11_altcat_1 A) (tptp.v12_altcat_1 A) (tptp.l2_altcat_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.u1_struct_0 B))) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_altcat_1 B) (tptp.v6_altcat_1 B) (tptp.m1_altcat_2 B A)) (= (= B (tptp.k2_altcat_4 A)) (and (= _let_2 _let_1) (tptp.r2_altcat_2 (tptp.k2_zfmisc_1 _let_2 _let_2) (tptp.k2_zfmisc_1 _let_1 _let_1) (tptp.u1_altcat_1 B) (tptp.u1_altcat_1 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 $$unsorted)) (let ((_let_1 (tptp.k1_altcat_1 A C D))) (=> (tptp.m1_subset_1 E _let_1) (= (tptp.r2_hidden E (tptp.k1_binop_1 (tptp.u1_altcat_1 B) C D)) (and (not (= _let_1 tptp.k1_xboole_0)) (tptp.v5_altcat_3 E A C D)))))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_altcat_1 A) (tptp.v11_altcat_1 A) (tptp.v12_altcat_1 A) (tptp.l2_altcat_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.u1_struct_0 B))) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_altcat_1 B) (tptp.v6_altcat_1 B) (tptp.m1_altcat_2 B A)) (= (= B (tptp.k3_altcat_4 A)) (and (= _let_2 _let_1) (tptp.r2_altcat_2 (tptp.k2_zfmisc_1 _let_2 _let_2) (tptp.k2_zfmisc_1 _let_1 _let_1) (tptp.u1_altcat_1 B) (tptp.u1_altcat_1 A)) (forall ((C $$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.k1_altcat_1 A C D))) (=> (tptp.m1_subset_1 E _let_1) (= (tptp.r2_hidden E (tptp.k1_binop_1 (tptp.u1_altcat_1 B) C D)) (and (not (= _let_1 tptp.k1_xboole_0)) (not (= (tptp.k1_altcat_1 A D C) tptp.k1_xboole_0)) (tptp.v1_altcat_3 E A C D)))))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_altcat_1 A) (tptp.v11_altcat_1 A) (tptp.v12_altcat_1 A) (tptp.l2_altcat_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.u1_struct_0 B))) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_altcat_1 B) (tptp.v6_altcat_1 B) (tptp.m1_altcat_2 B A)) (= (= B (tptp.k4_altcat_4 A)) (and (= _let_2 _let_1) (tptp.r2_altcat_2 (tptp.k2_zfmisc_1 _let_2 _let_2) (tptp.k2_zfmisc_1 _let_1 _let_1) (tptp.u1_altcat_1 B) (tptp.u1_altcat_1 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 $$unsorted)) (let ((_let_1 (tptp.k1_altcat_1 A C D))) (=> (tptp.m1_subset_1 E _let_1) (= (tptp.r2_hidden E (tptp.k1_binop_1 (tptp.u1_altcat_1 B) C D)) (and (not (= _let_1 tptp.k1_xboole_0)) (not (= (tptp.k1_altcat_1 A D C) tptp.k1_xboole_0)) (tptp.v2_altcat_3 E A C D)))))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_altcat_1 A) (tptp.v11_altcat_1 A) (tptp.v12_altcat_1 A) (tptp.l2_altcat_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.u1_struct_0 B))) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_altcat_1 B) (tptp.v6_altcat_1 B) (tptp.m1_altcat_2 B A)) (= (= B (tptp.k5_altcat_4 A)) (and (= _let_2 _let_1) (tptp.r2_altcat_2 (tptp.k2_zfmisc_1 _let_2 _let_2) (tptp.k2_zfmisc_1 _let_1 _let_1) (tptp.u1_altcat_1 B) (tptp.u1_altcat_1 A)) (forall ((C $$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.k1_altcat_1 A C D))) (=> (tptp.m1_subset_1 E _let_1) (= (tptp.r2_hidden E (tptp.k1_binop_1 (tptp.u1_altcat_1 B) C D)) (and (not (= _let_1 tptp.k1_xboole_0)) (not (= (tptp.k1_altcat_1 A D C) tptp.k1_xboole_0)) (tptp.v3_altcat_3 E A C D)))))))))))))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k3_altcat_4 A))) (let ((_let_2 (tptp.k5_altcat_4 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_altcat_1 A) (tptp.v11_altcat_1 A) (tptp.v12_altcat_1 A) (tptp.l2_altcat_1 A)) (and (not (tptp.v3_struct_0 _let_2)) (tptp.v2_altcat_1 _let_2) (tptp.v3_altcat_2 _let_2 _let_1) (tptp.m1_altcat_2 _let_2 _let_1)))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k4_altcat_4 A))) (let ((_let_2 (tptp.k5_altcat_4 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_altcat_1 A) (tptp.v11_altcat_1 A) (tptp.v12_altcat_1 A) (tptp.l2_altcat_1 A)) (and (not (tptp.v3_struct_0 _let_2)) (tptp.v2_altcat_1 _let_2) (tptp.v3_altcat_2 _let_2 _let_1) (tptp.m1_altcat_2 _let_2 _let_1)))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k1_altcat_4 A))) (let ((_let_2 (tptp.k4_altcat_4 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_altcat_1 A) (tptp.v11_altcat_1 A) (tptp.v12_altcat_1 A) (tptp.l2_altcat_1 A)) (and (not (tptp.v3_struct_0 _let_2)) (tptp.v2_altcat_1 _let_2) (tptp.v3_altcat_2 _let_2 _let_1) (tptp.m1_altcat_2 _let_2 _let_1)))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k2_altcat_4 A))) (let ((_let_2 (tptp.k3_altcat_4 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_altcat_1 A) (tptp.v11_altcat_1 A) (tptp.v12_altcat_1 A) (tptp.l2_altcat_1 A)) (and (not (tptp.v3_struct_0 _let_2)) (tptp.v2_altcat_1 _let_2) (tptp.v3_altcat_2 _let_2 _let_1) (tptp.m1_altcat_2 _let_2 _let_1)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_altcat_1 A) (tptp.v11_altcat_1 A) (tptp.v12_altcat_1 A) (tptp.l2_altcat_1 A)) (=> (forall ((B $$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.k1_altcat_1 A B C)) (tptp.v4_altcat_3 D A B C))))))) (= (tptp.g2_altcat_1 (tptp.u1_struct_0 A) (tptp.u1_altcat_1 A) (tptp.u2_altcat_1 A)) (tptp.k1_altcat_4 A))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_altcat_1 A) (tptp.v11_altcat_1 A) (tptp.v12_altcat_1 A) (tptp.l2_altcat_1 A)) (=> (forall ((B $$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.k1_altcat_1 A B C)) (tptp.v5_altcat_3 D A B C))))))) (= (tptp.g2_altcat_1 (tptp.u1_struct_0 A) (tptp.u1_altcat_1 A) (tptp.u2_altcat_1 A)) (tptp.k2_altcat_4 A))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_altcat_1 A) (tptp.v11_altcat_1 A) (tptp.v12_altcat_1 A) (tptp.l2_altcat_1 A)) (=> (forall ((B $$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.k1_altcat_1 A B C)) (and (tptp.v1_altcat_3 D A B C) (not (= (tptp.k1_altcat_1 A C B) tptp.k1_xboole_0))))))))) (= (tptp.g2_altcat_1 (tptp.u1_struct_0 A) (tptp.u1_altcat_1 A) (tptp.u2_altcat_1 A)) (tptp.k3_altcat_4 A))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_altcat_1 A) (tptp.v11_altcat_1 A) (tptp.v12_altcat_1 A) (tptp.l2_altcat_1 A)) (=> (forall ((B $$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.k1_altcat_1 A B C)) (and (tptp.v2_altcat_3 D A B C) (not (= (tptp.k1_altcat_1 A C B) tptp.k1_xboole_0))))))))) (= (tptp.g2_altcat_1 (tptp.u1_struct_0 A) (tptp.u1_altcat_1 A) (tptp.u2_altcat_1 A)) (tptp.k4_altcat_4 A))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_altcat_1 A) (tptp.v11_altcat_1 A) (tptp.v12_altcat_1 A) (tptp.l2_altcat_1 A)) (=> (forall ((B $$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.k1_altcat_1 A B C)) (and (tptp.v3_altcat_3 D A B C) (not (= (tptp.k1_altcat_1 A C B) tptp.k1_xboole_0))))))))) (= (tptp.g2_altcat_1 (tptp.u1_struct_0 A) (tptp.u1_altcat_1 A) (tptp.u2_altcat_1 A)) (tptp.k5_altcat_4 A))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_altcat_1 A) (tptp.v11_altcat_1 A) (tptp.v12_altcat_1 A) (tptp.l2_altcat_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 (tptp.k1_altcat_4 A))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 (tptp.k1_altcat_4 A))) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k1_altcat_4 A))) (let ((_let_2 (tptp.k1_altcat_1 _let_1 B C))) (=> (tptp.m1_subset_1 D _let_2) (=> (not (= _let_2 tptp.k1_xboole_0)) (tptp.v4_altcat_3 D _let_1 B C)))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_altcat_1 A) (tptp.v11_altcat_1 A) (tptp.v12_altcat_1 A) (tptp.l2_altcat_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 (tptp.k2_altcat_4 A))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 (tptp.k2_altcat_4 A))) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k2_altcat_4 A))) (let ((_let_2 (tptp.k1_altcat_1 _let_1 B C))) (=> (tptp.m1_subset_1 D _let_2) (=> (not (= _let_2 tptp.k1_xboole_0)) (tptp.v5_altcat_3 D _let_1 B C)))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_altcat_1 A) (tptp.v11_altcat_1 A) (tptp.v12_altcat_1 A) (tptp.l2_altcat_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 (tptp.k5_altcat_4 A))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 (tptp.k5_altcat_4 A))) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k5_altcat_4 A))) (let ((_let_2 (tptp.k1_altcat_1 _let_1 B C))) (=> (tptp.m1_subset_1 D _let_2) (=> (not (= _let_2 tptp.k1_xboole_0)) (and (tptp.v3_altcat_3 D _let_1 B C) (tptp.r2_hidden (tptp.k1_altcat_3 _let_1 B C D) (tptp.k1_altcat_1 _let_1 C B)))))))))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k1_altcat_4 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_altcat_1 A) (tptp.v11_altcat_1 A) (tptp.v12_altcat_1 A) (tptp.l2_altcat_1 A)) (= (tptp.k1_altcat_4 _let_1) _let_1)))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k2_altcat_4 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_altcat_1 A) (tptp.v11_altcat_1 A) (tptp.v12_altcat_1 A) (tptp.l2_altcat_1 A)) (= (tptp.k2_altcat_4 _let_1) _let_1)))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k5_altcat_4 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_altcat_1 A) (tptp.v11_altcat_1 A) (tptp.v12_altcat_1 A) (tptp.l2_altcat_1 A)) (= (tptp.k5_altcat_4 _let_1) _let_1)))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_altcat_1 A) (tptp.v11_altcat_1 A) (tptp.v12_altcat_1 A) (tptp.l2_altcat_1 A)) (= (tptp.k5_altcat_4 (tptp.k1_altcat_4 A)) (tptp.k5_altcat_4 A)))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_altcat_1 A) (tptp.v11_altcat_1 A) (tptp.v12_altcat_1 A) (tptp.l2_altcat_1 A)) (= (tptp.k5_altcat_4 (tptp.k2_altcat_4 A)) (tptp.k5_altcat_4 A)))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_altcat_1 A) (tptp.v11_altcat_1 A) (tptp.v12_altcat_1 A) (tptp.l2_altcat_1 A)) (= (tptp.k5_altcat_4 (tptp.k3_altcat_4 A)) (tptp.k5_altcat_4 A)))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_altcat_1 A) (tptp.v11_altcat_1 A) (tptp.v12_altcat_1 A) (tptp.l2_altcat_1 A)) (= (tptp.k5_altcat_4 (tptp.k4_altcat_4 A)) (tptp.k5_altcat_4 A)))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k1_altcat_4 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_altcat_1 A) (tptp.v11_altcat_1 A) (tptp.v12_altcat_1 A) (tptp.l2_altcat_1 A)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v2_altcat_1 _let_1) (tptp.v6_altcat_1 _let_1) (tptp.m1_altcat_2 _let_1 A))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k2_altcat_4 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_altcat_1 A) (tptp.v11_altcat_1 A) (tptp.v12_altcat_1 A) (tptp.l2_altcat_1 A)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v2_altcat_1 _let_1) (tptp.v6_altcat_1 _let_1) (tptp.m1_altcat_2 _let_1 A))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k3_altcat_4 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_altcat_1 A) (tptp.v11_altcat_1 A) (tptp.v12_altcat_1 A) (tptp.l2_altcat_1 A)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v2_altcat_1 _let_1) (tptp.v6_altcat_1 _let_1) (tptp.m1_altcat_2 _let_1 A))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k4_altcat_4 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_altcat_1 A) (tptp.v11_altcat_1 A) (tptp.v12_altcat_1 A) (tptp.l2_altcat_1 A)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v2_altcat_1 _let_1) (tptp.v6_altcat_1 _let_1) (tptp.m1_altcat_2 _let_1 A))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k5_altcat_4 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_altcat_1 A) (tptp.v11_altcat_1 A) (tptp.v12_altcat_1 A) (tptp.l2_altcat_1 A)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v2_altcat_1 _let_1) (tptp.v6_altcat_1 _let_1) (tptp.m1_altcat_2 _let_1 A))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k3_yellow_1 A))) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v1_orders_2 _let_1) (tptp.v2_orders_2 _let_1) (tptp.v3_orders_2 _let_1) (tptp.v4_orders_2 _let_1) (tptp.v1_lattice3 _let_1) (tptp.v2_lattice3 _let_1) (tptp.v3_lattice3 _let_1) (tptp.v1_yellow_0 _let_1) (tptp.v2_yellow_0 _let_1) (tptp.v3_yellow_0 _let_1) (tptp.v24_waybel_0 _let_1) (tptp.v25_waybel_0 _let_1) (tptp.v2_waybel_1 _let_1) (tptp.v9_waybel_1 _let_1) (tptp.v10_waybel_1 _let_1) (tptp.v11_waybel_1 _let_1) (tptp.v2_waybel_3 _let_1) (tptp.v3_waybel_3 _let_1) (tptp.v1_waybel_8 _let_1) (tptp.v2_waybel_8 _let_1) (tptp.v3_waybel_8 _let_1)))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v11_waybel_1 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (=> (tptp.v1_waybel15 B A) (tptp.v6_waybel_6 B A)))))) (forall ((A $$unsorted)) (=> (tptp.l1_orders_2 A) (forall ((B $$unsorted)) (=> (and (tptp.v4_yellow_0 B A) (tptp.m1_yellow_0 B A)) (forall ((C $$unsorted)) (=> (and (tptp.v4_yellow_0 C B) (tptp.m1_yellow_0 C B)) (and (tptp.v4_yellow_0 C A) (tptp.m1_yellow_0 C A)))))))) (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 $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.l1_struct_0 C)) (forall ((D $$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 $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 C))) (let ((_let_2 (tptp.u1_struct_0 A))) (let ((_let_3 (tptp.u1_struct_0 B))) (=> (and (tptp.v1_funct_1 E) (tptp.v1_funct_2 E _let_3 _let_1) (tptp.m2_relset_1 E _let_3 _let_1)) (=> (and (tptp.v2_funct_2 D _let_2 _let_3) (tptp.v2_funct_2 E _let_3 _let_1)) (tptp.v2_funct_2 (tptp.k7_funct_2 _let_2 _let_3 _let_1 D E) _let_2 _let_1))))))))))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_struct_0 A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (tptp.k4_pre_topc A A (tptp.k7_grcat_1 A) B) B))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_orders_2 A) (tptp.v2_yellow_0 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k4_yellow_0 A))) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (=> (tptp.r1_orders_2 A _let_1 B) (= B _let_1))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.l1_orders_2 B)) (forall ((C $$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)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D _let_1 _let_2) (tptp.m2_relset_1 D _let_1 _let_2)) (=> (and (tptp.v2_funct_2 C _let_2 _let_1) (tptp.v3_waybel_1 (tptp.k1_waybel_1 A B C D) A B)) (tptp.r5_waybel_1 B (tptp.k2_yellow_2 B A D))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.l1_orders_2 B)) (forall ((C $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.v2_orders_2 C) (tptp.v3_orders_2 C) (tptp.v4_orders_2 C) (tptp.l1_orders_2 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)) (forall ((F $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.u1_struct_0 B))) (=> (and (tptp.v1_funct_1 F) (tptp.v1_funct_2 F _let_2 _let_1) (tptp.m2_relset_1 F _let_2 _let_1)) (forall ((G $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.u1_struct_0 B))) (let ((_let_3 (tptp.u1_struct_0 C))) (=> (and (tptp.v1_funct_1 G) (tptp.v1_funct_2 G _let_3 _let_2) (tptp.m2_relset_1 G _let_3 _let_2)) (=> (and (tptp.v3_waybel_1 (tptp.k1_waybel_1 A B D F) A B) (tptp.v3_waybel_1 (tptp.k1_waybel_1 B C E G) B C)) (tptp.v3_waybel_1 (tptp.k1_waybel_1 A C (tptp.k7_funct_2 _let_1 _let_2 _let_3 D E) (tptp.k7_funct_2 _let_3 _let_2 _let_1 G F)) A C))))))))))))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.l1_orders_2 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.m2_relset_1 C _let_2 _let_1)) (forall ((D $$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.m2_relset_1 D _let_2 _let_1)) (=> (and (= D (tptp.k2_funct_1 C)) (tptp.v23_waybel_0 C A B)) (and (tptp.v3_waybel_1 (tptp.k1_waybel_1 A B C D) A B) (tptp.v3_waybel_1 (tptp.k1_waybel_1 B A D C) B A))))))))))))))) (forall ((A $$unsorted)) (tptp.v3_waybel_8 (tptp.k3_yellow_1 A))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v24_waybel_0 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.v24_waybel_0 B) (tptp.l1_orders_2 B)) (forall ((C $$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.v23_waybel_0 C A B) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (= (tptp.k4_pre_topc A B C (tptp.k1_waybel_3 A D)) (tptp.k1_waybel_3 B (tptp.k1_waybel_0 A B C D)))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.l1_orders_2 B)) (=> (and (tptp.r5_waybel_1 A B) (tptp.v3_waybel_3 A)) (tptp.v3_waybel_3 B)))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.v1_lattice3 B) (tptp.v2_lattice3 B) (tptp.l1_orders_2 B)) (=> (and (tptp.r5_waybel_1 A B) (tptp.v1_yellow_0 A) (tptp.v3_waybel_8 A)) (tptp.v3_waybel_8 B)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.l1_orders_2 B)) (forall ((C $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.v2_orders_2 C) (tptp.v3_orders_2 C) (tptp.v4_orders_2 C) (tptp.l1_orders_2 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.v22_waybel_0 D A B) (tptp.v22_waybel_0 E B C)) (tptp.v22_waybel_0 (tptp.k7_funct_2 (tptp.u1_struct_0 A) _let_2 _let_1 D E) A C)))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.l1_orders_2 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.m2_relset_1 C _let_2 _let_1)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k2_yellow_2 A B C))) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 _let_1))) (= (tptp.k4_pre_topc _let_1 B (tptp.k3_waybel_1 A B C) D) D)))))))))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k3_yellow_1 A))) (let ((_let_2 (tptp.u1_struct_0 _let_1))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_2 _let_2) (tptp.m2_relset_1 B _let_2 _let_2)) (=> (and (tptp.v11_quantal1 B) (tptp.v22_waybel_0 B _let_1 _let_1)) (tptp.v22_waybel_0 (tptp.k3_waybel_1 _let_1 _let_1 B) (tptp.k2_yellow_2 _let_1 _let_1 B) _let_1)))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_lattice3 A) (tptp.v3_waybel_3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k2_yellow_2 A A B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_2 _let_2) (tptp.v8_waybel_1 B A) (tptp.m2_relset_1 B _let_2 _let_2)) (=> (tptp.v22_waybel_0 B A A) (and (tptp.v2_orders_2 _let_1) (tptp.v3_orders_2 _let_1) (tptp.v4_orders_2 _let_1) (tptp.v1_lattice3 _let_1) (tptp.v2_lattice3 _let_1) (tptp.v3_waybel_3 _let_1) (tptp.l1_orders_2 _let_1))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_lattice3 A) (tptp.v3_waybel_3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k2_yellow_2 A A B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_2 _let_2) (tptp.v6_waybel_1 B A) (tptp.m2_relset_1 B _let_2 _let_2)) (=> (tptp.v22_waybel_0 B A A) (and (tptp.v2_orders_2 _let_1) (tptp.v3_orders_2 _let_1) (tptp.v4_orders_2 _let_1) (tptp.v1_lattice3 _let_1) (tptp.v2_lattice3 _let_1) (tptp.v3_waybel_3 _let_1) (tptp.l1_orders_2 _let_1))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v1_yellow_0 A) (tptp.l1_orders_2 A)) (= (tptp.v3_waybel_3 A) (exists ((B $$unsorted)) (and (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.v1_lattice3 B) (tptp.v2_lattice3 B) (tptp.v1_yellow_0 B) (tptp.v3_waybel_8 B) (tptp.l1_orders_2 B) (exists ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.u1_struct_0 B))) (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.m2_relset_1 C _let_2 _let_1) (tptp.v2_funct_2 C _let_2 _let_1) (tptp.v17_waybel_0 C B A) (tptp.v22_waybel_0 C B A)))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v1_yellow_0 A) (tptp.l1_orders_2 A)) (= (tptp.v3_waybel_3 A) (exists ((B $$unsorted)) (and (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.v1_lattice3 B) (tptp.v2_lattice3 B) (tptp.v1_yellow_0 B) (tptp.v2_waybel_8 B) (tptp.l1_orders_2 B) (exists ((C $$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.m2_relset_1 C _let_2 _let_1) (tptp.v2_funct_2 C _let_2 _let_1) (tptp.v17_waybel_0 C B A) (tptp.v22_waybel_0 C B A)))))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.v3_waybel_3 A))) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v1_yellow_0 A) (tptp.l1_orders_2 A)) (and (not (and _let_1 (forall ((B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k3_yellow_1 B))) (let ((_let_2 (tptp.u1_struct_0 _let_1))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_2) (tptp.v6_waybel_1 C _let_1) (tptp.m2_relset_1 C _let_2 _let_2)) (not (and (tptp.v22_waybel_0 C _let_1 _let_1) (tptp.r5_waybel_1 A (tptp.k2_yellow_2 _let_1 _let_1 C)))))))))))) (=> (exists ((B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k3_yellow_1 B))) (let ((_let_2 (tptp.u1_struct_0 _let_1))) (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_2) (tptp.v6_waybel_1 C _let_1) (tptp.m2_relset_1 C _let_2 _let_2) (tptp.v22_waybel_0 C _let_1 _let_1) (tptp.r5_waybel_1 A (tptp.k2_yellow_2 _let_1 _let_1 C)))))) _let_1))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (= (tptp.r2_hidden B (tptp.k4_waybel_6 (tptp.k7_lattice3 A))) (tptp.v6_waybel_6 B A)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (= (tptp.v1_waybel15 B A) (and (tptp.r2_orders_2 A (tptp.k3_yellow_0 A) B) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (=> (and (tptp.r2_orders_2 A (tptp.k3_yellow_0 A) C) (tptp.r1_orders_2 A C B)) (= C B)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (= B (tptp.k1_waybel15 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (tptp.r2_hidden C B) (tptp.v1_waybel15 C A))))))))) true (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v11_waybel_1 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (= (tptp.v1_waybel15 B A) (and (tptp.v6_waybel_6 B A) (not (= B (tptp.k3_yellow_0 A))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v11_waybel_1 A) (tptp.l1_orders_2 A)) (= (tptp.k1_waybel15 A) (tptp.k4_xboole_0 (tptp.k4_waybel_6 (tptp.k7_lattice3 A)) (tptp.k1_struct_0 A (tptp.k3_yellow_0 A)))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v11_waybel_1 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (=> (tptp.v1_waybel15 C A) (= (tptp.r3_orders_2 A C B) (not (tptp.r3_orders_2 A C (tptp.k7_waybel_1 A B))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_orders_2 A) (tptp.v2_lattice3 A) (tptp.v1_yellow_0 A) (tptp.l1_orders_2 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.v1_waybel15 B A) (tptp.v1_waybel15 C A)) (or (= B C) (= (tptp.k12_lattice3 A B C) (tptp.k3_yellow_0 A)))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_lattice3 A) (tptp.v11_waybel_1 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (tptp.r1_tarski C (tptp.k1_waybel15 A)) (= (tptp.r2_hidden B C) (and (tptp.v1_waybel15 B A) (tptp.r3_orders_2 A B (tptp.k1_yellow_0 A C))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_lattice3 A) (tptp.v11_waybel_1 A) (tptp.l1_orders_2 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.k1_waybel15 A))) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (and (tptp.r1_tarski B _let_1) (tptp.r1_tarski C _let_1)) (= (tptp.r1_tarski B C) (tptp.r3_orders_2 A (tptp.k1_yellow_0 A B) (tptp.k1_yellow_0 A C))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v11_waybel_1 A) (tptp.l1_orders_2 A)) (= (tptp.v3_waybel_8 A) (exists ((B $$unsorted)) (tptp.r5_waybel_1 A (tptp.k3_yellow_1 B)))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v11_waybel_1 A) (tptp.l1_orders_2 A)) (= (tptp.v3_waybel_8 A) (tptp.v2_waybel_8 A)))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v11_waybel_1 A) (tptp.l1_orders_2 A)) (= (tptp.v3_waybel_8 A) (tptp.v3_waybel_3 A)))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v11_waybel_1 A) (tptp.l1_orders_2 A)) (= (tptp.v3_waybel_8 A) (and (tptp.v3_waybel_3 A) (tptp.v3_waybel_3 (tptp.k7_lattice3 A)))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v11_waybel_1 A) (tptp.l1_orders_2 A)) (= (tptp.v3_waybel_8 A) (tptp.v1_waybel_5 A)))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v11_waybel_1 A) (tptp.l1_orders_2 A)) (= (tptp.v3_waybel_8 A) (and (tptp.v3_lattice3 A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (exists ((C $$unsorted)) (and (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (tptp.r1_tarski C (tptp.k1_waybel15 A)) (= B (tptp.k1_yellow_0 A C)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (tptp.m1_subset_1 (tptp.k1_waybel15 A) (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k3_yellow_1 A))) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 _let_1)) (= (tptp.k7_waybel_0 _let_1 B) (tptp.a_2_0_waybel15 A B))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_lattice3 A) (tptp.v11_waybel_1 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (tptp.k12_lattice3 A C (tptp.k1_yellow_0 A B)) (tptp.k1_yellow_0 A (tptp.a_3_0_waybel15 A B C))))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 (tptp.k3_yellow_1 B))) (= (tptp.r2_hidden A (tptp.a_2_0_waybel15 B C)) (exists ((D $$unsorted)) (and (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 B)) (= A D) (tptp.r1_tarski C D)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (=> (and (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.v1_lattice3 B) (tptp.v2_lattice3 B) (tptp.v3_lattice3 B) (tptp.v11_waybel_1 B) (tptp.l1_orders_2 B) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 _let_1)) (tptp.m1_subset_1 D _let_1)) (= (tptp.r2_hidden A (tptp.a_3_0_waybel15 B C D)) (exists ((E $$unsorted)) (and (tptp.m1_subset_1 E (tptp.u1_struct_0 B)) (= A (tptp.k12_lattice3 B D E)) (tptp.r2_hidden E C))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k1_lattice5 A))) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v2_orders_2 _let_1) (tptp.v3_orders_2 _let_1) (tptp.v4_orders_2 _let_1) (tptp.v1_lattice3 _let_1) (tptp.v2_lattice3 _let_1)))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k1_lattice5 A))) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v2_orders_2 _let_1) (tptp.v3_orders_2 _let_1) (tptp.v4_orders_2 _let_1) (tptp.v1_yellow_0 _let_1) (tptp.v2_yellow_0 _let_1) (tptp.v3_yellow_0 _let_1) (tptp.v1_lattice3 _let_1) (tptp.v2_lattice3 _let_1) (tptp.v3_lattice3 _let_1)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 A) (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.v1_lattice3 B) (tptp.v2_lattice3 B) (tptp.l1_orders_2 B)) (exists ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (and (tptp.m1_relset_1 C _let_2 _let_1) (tptp.v1_relat_1 C) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.v19_waybel_0 C A B) (tptp.v20_waybel_0 C A B))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 A)) (exists ((B $$unsorted)) (and (tptp.m1_yellow_0 B A) (tptp.v1_orders_2 B) (tptp.v5_yellow_0 B A) (tptp.v6_yellow_0 B A))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.v1_yellow_0 B) (tptp.v1_lattice3 B) (tptp.v2_lattice3 B) (tptp.l1_orders_2 B)) (exists ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.k2_zfmisc_1 A A))) (and (tptp.m1_relset_1 C _let_2 _let_1) (tptp.v1_relat_1 C) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.v1_lattice5 C A B) (tptp.v2_lattice5 C A B) (tptp.v3_lattice5 C A B))))))) (forall ((A $$unsorted)) (not (tptp.v1_xboole_0 (tptp.k6_lattice5 A)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v3_ordinal1 B)) (not (tptp.v1_xboole_0 (tptp.k9_lattice5 A B))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.k2_zfmisc_1 A A))) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.v1_yellow_0 B) (tptp.v1_lattice3 B) (tptp.v2_lattice3 B) (tptp.l1_orders_2 B) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.m1_relset_1 C _let_2 _let_1)) (not (tptp.v1_xboole_0 (tptp.k14_lattice5 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.v1_funcop_1 B)) (=> (= A (tptp.k3_tarski (tptp.k2_relat_1 B))) (= (tptp.k1_relat_1 A) (tptp.k3_tarski (tptp.k2_relat_1 (tptp.k2_funct_6 B))))))))) (forall ((A $$unsorted)) (= (tptp.k1_lattice5 A) (tptp.k3_lattice3 (tptp.k2_msualg_5 A)))) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.r2_hidden B (tptp.u1_struct_0 (tptp.k1_lattice5 A))) (and (tptp.v1_partfun1 B A A) (tptp.v3_relat_2 B) (tptp.v8_relat_2 B) (tptp.m2_relset_1 B A A)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 (tptp.k2_msualg_5 A))) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k2_msualg_5 A))) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 _let_1)) (= (tptp.r3_lattices _let_1 B C) (tptp.r1_tarski B C))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 (tptp.k1_lattice5 A))) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k1_lattice5 A))) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 _let_1)) (= (tptp.r3_orders_2 _let_1 B C) (tptp.r1_tarski B C))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 (tptp.k3_lattice3 A))) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k3_lattice3 A))) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 _let_1)) (= (tptp.k12_lattice3 _let_1 B C) (tptp.k4_lattices A (tptp.k5_lattice3 A B) (tptp.k5_lattice3 A C)))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 (tptp.k1_lattice5 A))) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k1_lattice5 A))) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 _let_1)) (= (tptp.k12_lattice3 _let_1 B C) (tptp.k3_xboole_0 B C))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 (tptp.k3_lattice3 A))) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k3_lattice3 A))) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 _let_1)) (= (tptp.k13_lattice3 _let_1 B C) (tptp.k3_lattices A (tptp.k5_lattice3 A B) (tptp.k5_lattice3 A C)))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 (tptp.k1_lattice5 A))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 (tptp.k1_lattice5 A))) (forall ((D $$unsorted)) (=> (and (tptp.v1_partfun1 D A A) (tptp.v3_relat_2 D) (tptp.v8_relat_2 D) (tptp.m2_relset_1 D A A)) (forall ((E $$unsorted)) (=> (and (tptp.v1_partfun1 E A A) (tptp.v3_relat_2 E) (tptp.v8_relat_2 E) (tptp.m2_relset_1 E A A)) (=> (and (= B D) (= C E)) (= (tptp.k13_lattice3 (tptp.k1_lattice5 A) B C) (tptp.k5_eqrel_1 A D E))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (= (tptp.v3_lattice3 A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (exists ((C $$unsorted)) (and (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (tptp.r1_lattice3 A B C) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (=> (tptp.r1_lattice3 A B D) (tptp.r1_orders_2 A D C))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.m2_finseq_1 B A)) (forall ((C $$unsorted) (D $$unsorted) (E $$unsorted)) (=> (tptp.v1_relat_1 E) (forall ((F $$unsorted)) (=> (tptp.v1_relat_1 F) (= (tptp.r1_lattice5 A B C D E F) (and (= (tptp.k1_funct_1 B tptp.np__1) C) (= (tptp.k1_funct_1 B (tptp.k3_finseq_1 B)) D) (forall ((G $$unsorted)) (let ((_let_1 (tptp.k4_tarski (tptp.k1_funct_1 B G) (tptp.k1_funct_1 B (tptp.k1_nat_1 G tptp.np__1))))) (let ((_let_2 (tptp.v1_abian G))) (=> (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 B) G) (and (=> (not _let_2) (tptp.r2_hidden _let_1 E)) (=> _let_2 (tptp.r2_hidden _let_1 F))))))))))))))))))) true (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted) (C $$unsorted)) (=> (tptp.m2_subset_1 C tptp.k1_numbers tptp.k5_numbers) (forall ((D $$unsorted)) (=> (tptp.v1_relat_1 D) (forall ((E $$unsorted)) (=> (tptp.v1_relat_1 E) (forall ((F $$unsorted)) (=> (and (not (tptp.v1_xboole_0 F)) (tptp.m2_finseq_1 F A)) (=> (and (tptp.r1_relat_2 D A) (tptp.r1_relat_2 E A) (= F (tptp.k2_finseq_2 C B))) (tptp.r1_lattice5 A F B B D E)))))))))))) true (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (tptp.v1_relat_1 D) (forall ((E $$unsorted)) (=> (tptp.v1_relat_1 E) (forall ((F $$unsorted)) (=> (tptp.m2_subset_1 F tptp.k1_numbers tptp.k5_numbers) (forall ((G $$unsorted)) (=> (tptp.m2_subset_1 G tptp.k1_numbers tptp.k5_numbers) (not (and (tptp.r1_xreal_0 F G) (tptp.r1_relat_2 D A) (tptp.r1_relat_2 E A) (exists ((H $$unsorted)) (and (not (tptp.v1_xboole_0 H)) (tptp.m2_finseq_1 H A) (= (tptp.k3_finseq_1 H) F) (tptp.r1_lattice5 A H B C D E))) (forall ((H $$unsorted)) (=> (and (not (tptp.v1_xboole_0 H)) (tptp.m2_finseq_1 H A)) (not (and (= (tptp.k3_finseq_1 H) G) (tptp.r1_lattice5 A H B C D E))))))))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k1_lattice5 A))) (=> (and (tptp.v5_yellow_0 B _let_1) (tptp.v6_yellow_0 B _let_1) (tptp.m1_yellow_0 B _let_1)) (not (and (exists ((C $$unsorted)) (and (tptp.v1_partfun1 C A A) (tptp.v3_relat_2 C) (tptp.v8_relat_2 C) (tptp.m2_relset_1 C A A) (tptp.r2_hidden C (tptp.u1_struct_0 B)) (not (= C (tptp.k13_cqc_sim1 A))))) (exists ((C $$unsorted)) (and (tptp.m2_subset_1 C tptp.k1_numbers tptp.k5_numbers) (forall ((D $$unsorted)) (=> (and (tptp.v1_partfun1 D A A) (tptp.v3_relat_2 D) (tptp.v8_relat_2 D) (tptp.m2_relset_1 D A A)) (forall ((E $$unsorted)) (=> (and (tptp.v1_partfun1 E A A) (tptp.v3_relat_2 E) (tptp.v8_relat_2 E) (tptp.m2_relset_1 E A A)) (forall ((F $$unsorted) (G $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (not (and (tptp.r2_hidden D _let_1) (tptp.r2_hidden E _let_1) (tptp.r2_hidden (tptp.k4_tarski F G) (tptp.k5_eqrel_1 A D E)) (forall ((H $$unsorted)) (=> (and (not (tptp.v1_xboole_0 H)) (tptp.m2_finseq_1 H A)) (not (and (= (tptp.k3_finseq_1 H) C) (tptp.r1_lattice5 A H F G D E))))))))))))))) (not (forall ((C $$unsorted)) (=> (tptp.m2_subset_1 C tptp.k1_numbers tptp.k5_numbers) (= (= C (tptp.k3_lattice5 A B)) (and (forall ((D $$unsorted)) (=> (and (tptp.v1_partfun1 D A A) (tptp.v3_relat_2 D) (tptp.v8_relat_2 D) (tptp.m2_relset_1 D A A)) (forall ((E $$unsorted)) (=> (and (tptp.v1_partfun1 E A A) (tptp.v3_relat_2 E) (tptp.v8_relat_2 E) (tptp.m2_relset_1 E A A)) (forall ((F $$unsorted) (G $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (not (and (tptp.r2_hidden D _let_1) (tptp.r2_hidden E _let_1) (tptp.r2_hidden (tptp.k4_tarski F G) (tptp.k5_eqrel_1 A D E)) (forall ((H $$unsorted)) (=> (and (not (tptp.v1_xboole_0 H)) (tptp.m2_finseq_1 H A)) (not (and (= (tptp.k3_finseq_1 H) (tptp.k1_nat_1 C tptp.np__2)) (tptp.r1_lattice5 A H F G D E))))))))))))) (exists ((D $$unsorted)) (and (tptp.v1_partfun1 D A A) (tptp.v3_relat_2 D) (tptp.v8_relat_2 D) (tptp.m2_relset_1 D A A) (exists ((E $$unsorted)) (and (tptp.v1_partfun1 E A A) (tptp.v3_relat_2 E) (tptp.v8_relat_2 E) (tptp.m2_relset_1 E A A) (exists ((F $$unsorted) (G $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (and (tptp.r2_hidden D _let_1) (tptp.r2_hidden E _let_1) (tptp.r2_hidden (tptp.k4_tarski F G) (tptp.k5_eqrel_1 A D E)) (forall ((H $$unsorted)) (=> (and (not (tptp.v1_xboole_0 H)) (tptp.m2_finseq_1 H A)) (not (and (= (tptp.k3_finseq_1 H) (tptp.k1_nat_1 C tptp.np__1)) (tptp.r1_lattice5 A H F G D E)))))))))))))))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k1_lattice5 A))) (=> (and (tptp.v5_yellow_0 B _let_1) (tptp.v6_yellow_0 B _let_1) (tptp.m1_yellow_0 B _let_1)) (forall ((C $$unsorted)) (=> (tptp.m2_subset_1 C tptp.k1_numbers tptp.k5_numbers) (=> (forall ((D $$unsorted)) (=> (and (tptp.v1_partfun1 D A A) (tptp.v3_relat_2 D) (tptp.v8_relat_2 D) (tptp.m2_relset_1 D A A)) (forall ((E $$unsorted)) (=> (and (tptp.v1_partfun1 E A A) (tptp.v3_relat_2 E) (tptp.v8_relat_2 E) (tptp.m2_relset_1 E A A)) (forall ((F $$unsorted) (G $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (not (and (tptp.r2_hidden D _let_1) (tptp.r2_hidden E _let_1) (tptp.r2_hidden (tptp.k4_tarski F G) (tptp.k5_eqrel_1 A D E)) (forall ((H $$unsorted)) (=> (and (not (tptp.v1_xboole_0 H)) (tptp.m2_finseq_1 H A)) (not (and (= (tptp.k3_finseq_1 H) (tptp.k1_nat_1 C tptp.np__2)) (tptp.r1_lattice5 A H F G D E))))))))))))) (or (forall ((D $$unsorted)) (=> (and (tptp.v1_partfun1 D A A) (tptp.v3_relat_2 D) (tptp.v8_relat_2 D) (tptp.m2_relset_1 D A A)) (not (and (tptp.r2_hidden D (tptp.u1_struct_0 B)) (not (= D (tptp.k13_cqc_sim1 A))))))) (tptp.r1_xreal_0 (tptp.k3_lattice5 A B) C)))))))))) true (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (and (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.v1_yellow_0 B) (tptp.v1_lattice3 B) (tptp.v2_lattice3 B) (tptp.l1_orders_2 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.m2_relset_1 C _let_2 _let_1)) (= (tptp.v1_lattice5 C A B) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D A) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E A) (= (tptp.k4_lattice5 A B C D E) (tptp.k4_lattice5 A B C E D))))))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (and (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.v1_yellow_0 B) (tptp.v1_lattice3 B) (tptp.v2_lattice3 B) (tptp.l1_orders_2 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.k2_zfmisc_1 A 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_lattice5 C A B) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D A) (= (tptp.k4_lattice5 A B C D D) (tptp.k3_yellow_0 B))))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (and (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.v1_yellow_0 B) (tptp.v1_lattice3 B) (tptp.v2_lattice3 B) (tptp.l1_orders_2 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.k2_zfmisc_1 A 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_lattice5 C A B) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D A) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E A) (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F A) (tptp.r1_orders_2 B (tptp.k4_lattice5 A B C D F) (tptp.k13_lattice3 B (tptp.k4_lattice5 A B C D E) (tptp.k4_lattice5 A B C E F)))))))))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (and (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.v1_yellow_0 B) (tptp.v1_lattice3 B) (tptp.v2_lattice3 B) (tptp.l1_orders_2 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.v1_lattice5 C A B) (tptp.v2_lattice5 C A B) (tptp.v3_lattice5 C A B) (tptp.m2_relset_1 C _let_2 _let_1)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 (tptp.k1_lattice5 A)))) (let ((_let_2 (tptp.u1_struct_0 B))) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D _let_2 _let_1) (tptp.m2_relset_1 D _let_2 _let_1)) (= (= D (tptp.k5_lattice5 A B C)) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.u1_struct_0 B)) (exists ((F $$unsorted)) (and (tptp.v1_partfun1 F A A) (tptp.v3_relat_2 F) (tptp.v8_relat_2 F) (tptp.m2_relset_1 F A A) (= F (tptp.k7_yellow_2 (tptp.u1_struct_0 B) (tptp.k1_lattice5 A) D E)) (forall ((G $$unsorted)) (=> (tptp.m1_subset_1 G A) (forall ((H $$unsorted)) (=> (tptp.m1_subset_1 H A) (= (tptp.r2_hidden (tptp.k1_domain_1 A A G H) F) (tptp.r3_orders_2 B (tptp.k4_lattice5 A B C G H) E))))))))))))))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (and (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.v1_yellow_0 B) (tptp.v1_lattice3 B) (tptp.v2_lattice3 B) (tptp.l1_orders_2 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.v1_lattice5 C A B) (tptp.v2_lattice5 C A B) (tptp.v3_lattice5 C A B) (tptp.m2_relset_1 C _let_2 _let_1)) (tptp.v19_waybel_0 (tptp.k5_lattice5 A B C) B (tptp.k1_lattice5 A)))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (and (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.v1_yellow_0 B) (tptp.v1_lattice3 B) (tptp.v2_lattice3 B) (tptp.l1_orders_2 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.v1_lattice5 C A B) (tptp.v2_lattice5 C A B) (tptp.v3_lattice5 C A B) (tptp.m2_relset_1 C _let_2 _let_1)) (=> (tptp.v2_funct_2 C _let_2 _let_1) (tptp.v2_funct_1 (tptp.k5_lattice5 A B C))))))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k1_tarski A))) (let ((_let_2 (tptp.k1_tarski _let_1))) (= (tptp.k6_lattice5 A) (tptp.k2_xboole_0 A (tptp.k1_enumset1 _let_1 _let_2 (tptp.k1_tarski _let_2))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (and (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.v1_yellow_0 B) (tptp.v1_lattice3 B) (tptp.v2_lattice3 B) (tptp.l1_orders_2 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.m2_relset_1 C _let_2 _let_1)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (=> (tptp.m1_subset_1 D (tptp.k4_zfmisc_1 A A _let_1 _let_1)) (forall ((E $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.k11_mcart_1 A A _let_1 _let_1 D))) (let ((_let_3 (tptp.k10_mcart_1 A A _let_1 _let_1 D))) (let ((_let_4 (tptp.k13_lattice3 B _let_3 _let_2))) (let ((_let_5 (tptp.k1_tarski A))) (let ((_let_6 (tptp.k1_tarski _let_5))) (let ((_let_7 (tptp.k1_tarski _let_6))) (let ((_let_8 (tptp.k3_yellow_0 B))) (let ((_let_9 (tptp.k6_lattice5 A))) (let ((_let_10 (tptp.k2_zfmisc_1 _let_9 _let_9))) (=> (and (tptp.v1_funct_1 E) (tptp.v1_funct_2 E _let_10 _let_1) (tptp.m2_relset_1 E _let_10 _let_1)) (= (= E (tptp.k7_lattice5 A B C D)) (and (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F A) (forall ((G $$unsorted)) (=> (tptp.m1_subset_1 G A) (= (tptp.k1_binop_1 E F G) (tptp.k4_lattice5 A B C F G)))))) (= (tptp.k1_binop_1 E _let_5 _let_5) _let_8) (= (tptp.k1_binop_1 E _let_6 _let_6) _let_8) (= (tptp.k1_binop_1 E _let_7 _let_7) _let_8) (= (tptp.k1_binop_1 E _let_6 _let_7) _let_3) (= (tptp.k1_binop_1 E _let_7 _let_6) _let_3) (= (tptp.k1_binop_1 E _let_5 _let_6) _let_2) (= (tptp.k1_binop_1 E _let_6 _let_5) _let_2) (= (tptp.k1_binop_1 E _let_5 _let_7) _let_4) (= (tptp.k1_binop_1 E _let_7 _let_5) _let_4) (forall ((F $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.k11_mcart_1 A A _let_1 _let_1 D))) (let ((_let_3 (tptp.k13_lattice3 B (tptp.k4_lattice5 A B C F (tptp.k9_mcart_1 A A _let_1 _let_1 D)) _let_2))) (let ((_let_4 (tptp.k1_tarski A))) (let ((_let_5 (tptp.k1_tarski _let_4))) (let ((_let_6 (tptp.k1_tarski _let_5))) (let ((_let_7 (tptp.k13_lattice3 B (tptp.k4_lattice5 A B C F (tptp.k8_mcart_1 A A _let_1 _let_1 D)) (tptp.k10_mcart_1 A A _let_1 _let_1 D)))) (let ((_let_8 (tptp.k13_lattice3 B _let_7 _let_2))) (=> (tptp.m1_subset_1 F A) (and (= (tptp.k1_binop_1 E F _let_4) _let_7) (= (tptp.k1_binop_1 E _let_4 F) _let_7) (= (tptp.k1_binop_1 E F _let_5) _let_8) (= (tptp.k1_binop_1 E _let_5 F) _let_8) (= (tptp.k1_binop_1 E F _let_6) _let_3) (= (tptp.k1_binop_1 E _let_6 F) _let_3))))))))))))))))))))))))))))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (and (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.v1_yellow_0 B) (tptp.v1_lattice3 B) (tptp.v2_lattice3 B) (tptp.l1_orders_2 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.m2_relset_1 C _let_2 _let_1)) (=> (tptp.v2_lattice5 C A B) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (=> (tptp.m1_subset_1 D (tptp.k4_zfmisc_1 A A _let_1 _let_1)) (tptp.v2_lattice5 (tptp.k7_lattice5 A B C D) (tptp.k6_lattice5 A) B))))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (and (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.v1_yellow_0 B) (tptp.v1_lattice3 B) (tptp.v2_lattice3 B) (tptp.l1_orders_2 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.m2_relset_1 C _let_2 _let_1)) (=> (tptp.v1_lattice5 C A B) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (=> (tptp.m1_subset_1 D (tptp.k4_zfmisc_1 A A _let_1 _let_1)) (tptp.v1_lattice5 (tptp.k7_lattice5 A B C D) (tptp.k6_lattice5 A) B))))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (and (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.v1_yellow_0 B) (tptp.v1_lattice3 B) (tptp.v2_lattice3 B) (tptp.l1_orders_2 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.m2_relset_1 C _let_2 _let_1)) (=> (and (tptp.v1_lattice5 C A B) (tptp.v3_lattice5 C A B)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (=> (tptp.m1_subset_1 D (tptp.k4_zfmisc_1 A A _let_1 _let_1)) (=> (tptp.r3_orders_2 B (tptp.k4_lattice5 A B C (tptp.k8_mcart_1 A A _let_1 _let_1 D) (tptp.k9_mcart_1 A A _let_1 _let_1 D)) (tptp.k13_lattice3 B (tptp.k10_mcart_1 A A _let_1 _let_1 D) (tptp.k11_mcart_1 A A _let_1 _let_1 D))) (tptp.v3_lattice5 (tptp.k7_lattice5 A B C D) (tptp.k6_lattice5 A) B)))))))))))))) (forall ((A $$unsorted)) (tptp.r1_tarski A (tptp.k6_lattice5 A))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (and (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.v1_yellow_0 B) (tptp.v1_lattice3 B) (tptp.v2_lattice3 B) (tptp.l1_orders_2 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.k2_zfmisc_1 A 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 $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (=> (tptp.m1_subset_1 D (tptp.k4_zfmisc_1 A A _let_1 _let_1)) (tptp.r1_tarski C (tptp.k7_lattice5 A B C D))))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (and (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.v1_yellow_0 B) (tptp.v1_lattice3 B) (tptp.v2_lattice3 B) (tptp.l1_orders_2 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.v1_lattice5 C A B) (tptp.v2_lattice5 C A B) (tptp.v3_lattice5 C A B) (tptp.m2_relset_1 C _let_2 _let_1)) (not (= (tptp.k8_lattice5 A B C) tptp.k1_xboole_0)))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (tptp.v3_ordinal1 B) (forall ((C $$unsorted)) (= (= C (tptp.k9_lattice5 A B)) (exists ((D $$unsorted)) (and (tptp.v1_relat_1 D) (tptp.v1_funct_1 D) (tptp.v5_ordinal1 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 $$unsorted)) (let ((_let_1 (tptp.k1_ordinal1 E))) (=> (tptp.v3_ordinal1 E) (=> (tptp.r2_hidden _let_1 (tptp.k1_ordinal1 B)) (= (tptp.k1_funct_1 D _let_1) (tptp.k6_lattice5 (tptp.k1_funct_1 D E))))))) (forall ((E $$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.k3_tarski (tptp.k2_relat_1 (tptp.k2_ordinal1 D E)))))))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (= (tptp.k9_lattice5 A tptp.k1_xboole_0) A))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (tptp.v3_ordinal1 B) (= (tptp.k9_lattice5 A (tptp.k1_ordinal1 B)) (tptp.k6_lattice5 (tptp.k9_lattice5 A B))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (tptp.v5_ordinal1 B)) (forall ((C $$unsorted)) (=> (tptp.v3_ordinal1 C) (=> (and (tptp.v4_ordinal1 C) (= (tptp.k1_relat_1 B) C) (forall ((D $$unsorted)) (=> (tptp.v3_ordinal1 D) (=> (tptp.r2_hidden D C) (= (tptp.k1_funct_1 B D) (tptp.k9_lattice5 A D)))))) (or (= C tptp.k1_xboole_0) (= (tptp.k9_lattice5 A C) (tptp.k3_tarski (tptp.k2_relat_1 B))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (tptp.v3_ordinal1 B) (tptp.r1_tarski A (tptp.k9_lattice5 A B)))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (and (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.v1_yellow_0 B) (tptp.v1_lattice3 B) (tptp.v2_lattice3 B) (tptp.l1_orders_2 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.k2_zfmisc_1 A 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 $$unsorted)) (=> (tptp.m1_lattice5 D A B C) (forall ((E $$unsorted)) (=> (tptp.v3_ordinal1 E) (=> (tptp.r2_hidden E (tptp.k1_relat_1 D)) (= (tptp.k10_lattice5 A B C D E) (tptp.k1_funct_1 D E))))))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (and (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.v1_yellow_0 B) (tptp.v1_lattice3 B) (tptp.v2_lattice3 B) (tptp.l1_orders_2 B)) (forall ((C $$unsorted)) (=> (tptp.v3_ordinal1 C) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.k2_zfmisc_1 A 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 $$unsorted)) (=> (tptp.m1_lattice5 E A B D) (= (tptp.r2_hidden C (tptp.k8_lattice5 A B D)) (tptp.r2_hidden C (tptp.k1_relat_1 E))))))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (and (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.v1_yellow_0 B) (tptp.v1_lattice3 B) (tptp.v2_lattice3 B) (tptp.l1_orders_2 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.k2_zfmisc_1 A 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.k11_lattice5 A B C) C))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (and (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.v1_yellow_0 B) (tptp.v1_lattice3 B) (tptp.v2_lattice3 B) (tptp.l1_orders_2 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.m2_relset_1 C _let_2 _let_1)) (forall ((D $$unsorted)) (=> (tptp.m1_lattice5 D A B C) (forall ((E $$unsorted)) (=> (tptp.v3_ordinal1 E) (forall ((F $$unsorted)) (= (= F (tptp.k12_lattice5 A B C D E)) (exists ((G $$unsorted)) (and (tptp.v1_relat_1 G) (tptp.v1_funct_1 G) (tptp.v5_ordinal1 G) (= F (tptp.k1_ordinal2 G)) (= (tptp.k1_relat_1 G) (tptp.k1_ordinal1 E)) (= (tptp.k1_funct_1 G tptp.k1_xboole_0) C) (forall ((H $$unsorted)) (let ((_let_1 (tptp.k9_lattice5 A H))) (let ((_let_2 (tptp.k1_ordinal1 H))) (=> (tptp.v3_ordinal1 H) (=> (tptp.r2_hidden _let_2 (tptp.k1_ordinal1 E)) (= (tptp.k1_funct_1 G _let_2) (tptp.k7_lattice5 _let_1 B (tptp.k11_lattice5 _let_1 B (tptp.k1_funct_1 G H)) (tptp.k10_lattice5 A B C D H)))))))) (forall ((H $$unsorted)) (=> (tptp.v3_ordinal1 H) (=> (and (tptp.r2_hidden H (tptp.k1_ordinal1 E)) (tptp.v4_ordinal1 H)) (or (= H tptp.k1_xboole_0) (= (tptp.k1_funct_1 G H) (tptp.k3_tarski (tptp.k2_relat_1 (tptp.k2_ordinal1 G H)))))))))))))))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (and (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.v1_yellow_0 B) (tptp.v1_lattice3 B) (tptp.v2_lattice3 B) (tptp.l1_orders_2 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.k2_zfmisc_1 A 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 $$unsorted)) (=> (tptp.m1_lattice5 D A B C) (= (tptp.k12_lattice5 A B C D tptp.k1_xboole_0) C))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (and (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.v1_yellow_0 B) (tptp.v1_lattice3 B) (tptp.v2_lattice3 B) (tptp.l1_orders_2 B)) (forall ((C $$unsorted)) (=> (tptp.v3_ordinal1 C) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D _let_2 _let_1) (tptp.m2_relset_1 D _let_2 _let_1)) (forall ((E $$unsorted)) (let ((_let_1 (tptp.k9_lattice5 A C))) (=> (tptp.m1_lattice5 E A B D) (= (tptp.k12_lattice5 A B D E (tptp.k1_ordinal1 C)) (tptp.k7_lattice5 _let_1 B (tptp.k11_lattice5 _let_1 B (tptp.k12_lattice5 A B D E C)) (tptp.k10_lattice5 A B D E C)))))))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (and (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.v1_yellow_0 B) (tptp.v1_lattice3 B) (tptp.v2_lattice3 B) (tptp.l1_orders_2 B)) (forall ((C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C) (tptp.v5_ordinal1 C)) (forall ((D $$unsorted)) (=> (tptp.v3_ordinal1 D) (forall ((E $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 E) (tptp.v1_funct_2 E _let_2 _let_1) (tptp.m2_relset_1 E _let_2 _let_1)) (forall ((F $$unsorted)) (=> (tptp.m1_lattice5 F A B E) (=> (and (tptp.v4_ordinal1 D) (= (tptp.k1_relat_1 C) D) (forall ((G $$unsorted)) (=> (tptp.v3_ordinal1 G) (=> (tptp.r2_hidden G D) (= (tptp.k1_funct_1 C G) (tptp.k12_lattice5 A B E F G)))))) (or (= D tptp.k1_xboole_0) (= (tptp.k12_lattice5 A B E F D) (tptp.k3_tarski (tptp.k2_relat_1 C))))))))))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (tptp.v3_ordinal1 B) (forall ((C $$unsorted)) (=> (tptp.v3_ordinal1 C) (=> (tptp.r1_ordinal1 B C) (tptp.r1_tarski (tptp.k9_lattice5 A B) (tptp.k9_lattice5 A C))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (and (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.v1_yellow_0 B) (tptp.v1_lattice3 B) (tptp.v2_lattice3 B) (tptp.l1_orders_2 B)) (forall ((C $$unsorted)) (=> (tptp.v3_ordinal1 C) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.k2_zfmisc_1 A 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 $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.k9_lattice5 A C))) (let ((_let_3 (tptp.k2_zfmisc_1 _let_2 _let_2))) (let ((_let_4 (tptp.k12_lattice5 A B D E C))) (=> (tptp.m1_lattice5 E A B D) (and (tptp.v1_funct_1 _let_4) (tptp.v1_funct_2 _let_4 _let_3 _let_1) (tptp.m2_relset_1 _let_4 _let_3 _let_1)))))))))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (and (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.v1_yellow_0 B) (tptp.v1_lattice3 B) (tptp.v2_lattice3 B) (tptp.l1_orders_2 B)) (forall ((C $$unsorted)) (=> (tptp.v3_ordinal1 C) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D _let_2 _let_1) (tptp.m2_relset_1 D _let_2 _let_1)) (forall ((E $$unsorted)) (=> (tptp.m1_lattice5 E A B D) (tptp.r1_tarski D (tptp.k13_lattice5 A B D E C)))))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (and (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.v1_yellow_0 B) (tptp.v1_lattice3 B) (tptp.v2_lattice3 B) (tptp.l1_orders_2 B)) (forall ((C $$unsorted)) (=> (tptp.v3_ordinal1 C) (forall ((D $$unsorted)) (=> (tptp.v3_ordinal1 D) (forall ((E $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 E) (tptp.v1_funct_2 E _let_2 _let_1) (tptp.m2_relset_1 E _let_2 _let_1)) (forall ((F $$unsorted)) (=> (tptp.m1_lattice5 F A B E) (=> (tptp.r1_ordinal1 C D) (tptp.r1_tarski (tptp.k13_lattice5 A B E F C) (tptp.k13_lattice5 A B E F D))))))))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (and (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.v1_yellow_0 B) (tptp.v1_lattice3 B) (tptp.v2_lattice3 B) (tptp.l1_orders_2 B)) (forall ((C $$unsorted)) (=> (tptp.v3_ordinal1 C) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.k2_zfmisc_1 A 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.v2_lattice5 D A B) (forall ((E $$unsorted)) (=> (tptp.m1_lattice5 E A B D) (tptp.v2_lattice5 (tptp.k13_lattice5 A B D E C) (tptp.k9_lattice5 A C) B)))))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (and (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.v1_yellow_0 B) (tptp.v1_lattice3 B) (tptp.v2_lattice3 B) (tptp.l1_orders_2 B)) (forall ((C $$unsorted)) (=> (tptp.v3_ordinal1 C) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D _let_2 _let_1) (tptp.m2_relset_1 D _let_2 _let_1)) (=> (tptp.v1_lattice5 D A B) (forall ((E $$unsorted)) (=> (tptp.m1_lattice5 E A B D) (tptp.v1_lattice5 (tptp.k13_lattice5 A B D E C) (tptp.k9_lattice5 A C) B)))))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (and (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.v1_yellow_0 B) (tptp.v1_lattice3 B) (tptp.v2_lattice3 B) (tptp.l1_orders_2 B)) (forall ((C $$unsorted)) (=> (tptp.v3_ordinal1 C) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.k2_zfmisc_1 A 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 (tptp.v1_lattice5 D A B) (tptp.v3_lattice5 D A B)) (forall ((E $$unsorted)) (=> (tptp.m1_lattice5 E A B D) (=> (tptp.r1_ordinal1 C (tptp.k8_lattice5 A B D)) (tptp.v3_lattice5 (tptp.k13_lattice5 A B D E C) (tptp.k9_lattice5 A C) B))))))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (and (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.v1_yellow_0 B) (tptp.v1_lattice3 B) (tptp.v2_lattice3 B) (tptp.l1_orders_2 B)) (forall ((C $$unsorted)) (=> (tptp.v3_ordinal1 C) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D _let_2 _let_1) (tptp.v1_lattice5 D A B) (tptp.v2_lattice5 D A B) (tptp.v3_lattice5 D A B) (tptp.m2_relset_1 D _let_2 _let_1)) (forall ((E $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.k9_lattice5 A C))) (let ((_let_3 (tptp.k2_zfmisc_1 _let_2 _let_2))) (let ((_let_4 (tptp.k13_lattice5 A B D E C))) (=> (tptp.m1_lattice5 E A B D) (=> (tptp.r1_ordinal1 C (tptp.k8_lattice5 A B D)) (and (tptp.v1_funct_1 _let_4) (tptp.v1_funct_2 _let_4 _let_3 _let_1) (tptp.v1_lattice5 _let_4 _let_2 B) (tptp.v2_lattice5 _let_4 _let_2 B) (tptp.v3_lattice5 _let_4 _let_2 B) (tptp.m2_relset_1 _let_4 _let_3 _let_1))))))))))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (and (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.v1_yellow_0 B) (tptp.v1_lattice3 B) (tptp.v2_lattice3 B) (tptp.l1_orders_2 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.m2_relset_1 C _let_2 _let_1)) (= (tptp.k14_lattice5 A B C) (tptp.k9_lattice5 A (tptp.k8_lattice5 A B C))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (and (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.v1_yellow_0 B) (tptp.v1_lattice3 B) (tptp.v2_lattice3 B) (tptp.l1_orders_2 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.k2_zfmisc_1 A 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 $$unsorted)) (=> (tptp.m1_lattice5 D A B C) (= (tptp.k15_lattice5 A B C D) (tptp.k13_lattice5 A B C D (tptp.k8_lattice5 A B C))))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (and (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.v1_yellow_0 B) (tptp.v1_lattice3 B) (tptp.v2_lattice3 B) (tptp.l1_orders_2 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.v1_lattice5 C A B) (tptp.v2_lattice5 C A B) (tptp.v3_lattice5 C A B) (tptp.m2_relset_1 C _let_2 _let_1)) (forall ((D $$unsorted)) (=> (not (tptp.v1_xboole_0 D)) (forall ((E $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.k2_zfmisc_1 D D))) (=> (and (tptp.v1_funct_1 E) (tptp.v1_funct_2 E _let_2 _let_1) (tptp.v1_lattice5 E D B) (tptp.v2_lattice5 E D B) (tptp.v3_lattice5 E D B) (tptp.m2_relset_1 E _let_2 _let_1)) (= (tptp.r2_lattice5 A B C D E) (exists ((F $$unsorted)) (and (tptp.m1_lattice5 F A B C) (= D (tptp.k14_lattice5 A B C)) (= E (tptp.k16_lattice5 A B C F))))))))))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (and (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.v1_yellow_0 B) (tptp.v1_lattice3 B) (tptp.v2_lattice3 B) (tptp.l1_orders_2 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.v1_lattice5 C A B) (tptp.v2_lattice5 C A B) (tptp.v3_lattice5 C A B) (tptp.m2_relset_1 C _let_2 _let_1)) (forall ((D $$unsorted)) (=> (not (tptp.v1_xboole_0 D)) (forall ((E $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.k2_zfmisc_1 D D))) (=> (and (tptp.v1_funct_1 E) (tptp.v1_funct_2 E _let_2 _let_1) (tptp.v1_lattice5 E D B) (tptp.v2_lattice5 E D B) (tptp.v3_lattice5 E D B) (tptp.m2_relset_1 E _let_2 _let_1)) (=> (tptp.r2_lattice5 A B C D E) (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F A) (forall ((G $$unsorted)) (=> (tptp.m1_subset_1 G A) (forall ((H $$unsorted)) (=> (tptp.m1_subset_1 H (tptp.u1_struct_0 B)) (forall ((I $$unsorted)) (=> (tptp.m1_subset_1 I (tptp.u1_struct_0 B)) (not (and (tptp.r3_orders_2 B (tptp.k4_lattice5 A B C F G) (tptp.k13_lattice3 B H I)) (forall ((J $$unsorted)) (=> (tptp.m1_subset_1 J D) (forall ((K $$unsorted)) (=> (tptp.m1_subset_1 K D) (forall ((L $$unsorted)) (=> (tptp.m1_subset_1 L D) (not (and (= (tptp.k1_binop_1 E F J) H) (= (tptp.k4_lattice5 D B E K L) H) (= (tptp.k4_lattice5 D B E J K) I) (= (tptp.k1_binop_1 E L G) I)))))))))))))))))))))))))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (and (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.v1_yellow_0 B) (tptp.v1_lattice3 B) (tptp.v2_lattice3 B) (tptp.l1_orders_2 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.v1_lattice5 C A B) (tptp.v2_lattice5 C A B) (tptp.v3_lattice5 C A B) (tptp.m2_relset_1 C _let_2 _let_1)) (forall ((D $$unsorted)) (=> (and (tptp.v1_relat_1 D) (tptp.v1_funct_1 D)) (= (tptp.m2_lattice5 D A B C) (and (= (tptp.k1_relat_1 D) tptp.k5_numbers) (= (tptp.k1_funct_1 D tptp.np__0) (tptp.k4_tarski A C)) (forall ((E $$unsorted)) (=> (tptp.m2_subset_1 E tptp.k1_numbers tptp.k5_numbers) (exists ((F $$unsorted)) (and (not (tptp.v1_xboole_0 F)) (exists ((G $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.k2_zfmisc_1 F F))) (and (tptp.v1_funct_1 G) (tptp.v1_funct_2 G _let_2 _let_1) (tptp.v1_lattice5 G F B) (tptp.v2_lattice5 G F B) (tptp.v3_lattice5 G F B) (tptp.m2_relset_1 G _let_2 _let_1) (exists ((H $$unsorted)) (and (not (tptp.v1_xboole_0 H)) (exists ((I $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.k2_zfmisc_1 H H))) (and (tptp.v1_funct_1 I) (tptp.v1_funct_2 I _let_2 _let_1) (tptp.v1_lattice5 I H B) (tptp.v2_lattice5 I H B) (tptp.v3_lattice5 I H B) (tptp.m2_relset_1 I _let_2 _let_1) (tptp.r2_lattice5 F B G H I) (= (tptp.k1_funct_1 D E) (tptp.k4_tarski F G)) (= (tptp.k1_funct_1 D (tptp.k1_nat_1 E tptp.np__1)) (tptp.k4_tarski H I)))))))))))))))))))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (and (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.v1_yellow_0 B) (tptp.v1_lattice3 B) (tptp.v2_lattice3 B) (tptp.l1_orders_2 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.v1_lattice5 C A B) (tptp.v2_lattice5 C A B) (tptp.v3_lattice5 C A B) (tptp.m2_relset_1 C _let_2 _let_1)) (forall ((D $$unsorted)) (=> (tptp.m2_lattice5 D A B C) (forall ((E $$unsorted)) (=> (tptp.m2_subset_1 E tptp.k1_numbers tptp.k5_numbers) (forall ((F $$unsorted)) (=> (tptp.m2_subset_1 F tptp.k1_numbers tptp.k5_numbers) (=> (tptp.r1_xreal_0 E F) (tptp.r1_tarski (tptp.k1_mcart_1 (tptp.k1_funct_1 D E)) (tptp.k1_mcart_1 (tptp.k1_funct_1 D F)))))))))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (and (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.v1_yellow_0 B) (tptp.v1_lattice3 B) (tptp.v2_lattice3 B) (tptp.l1_orders_2 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.v1_lattice5 C A B) (tptp.v2_lattice5 C A B) (tptp.v3_lattice5 C A B) (tptp.m2_relset_1 C _let_2 _let_1)) (forall ((D $$unsorted)) (=> (tptp.m2_lattice5 D A B C) (forall ((E $$unsorted)) (=> (tptp.m2_subset_1 E tptp.k1_numbers tptp.k5_numbers) (forall ((F $$unsorted)) (=> (tptp.m2_subset_1 F tptp.k1_numbers tptp.k5_numbers) (=> (tptp.r1_xreal_0 E F) (tptp.r1_tarski (tptp.k2_mcart_1 (tptp.k1_funct_1 D E)) (tptp.k2_mcart_1 (tptp.k1_funct_1 D F)))))))))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_yellow_0 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 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.v1_lattice5 B _let_1 A) (tptp.v2_lattice5 B _let_1 A) (tptp.v3_lattice5 B _let_1 A) (tptp.m2_relset_1 B _let_2 _let_1)) (= (= B (tptp.k17_lattice5 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))) (let ((_let_2 (tptp.k4_lattice5 _let_1 A B C D))) (let ((_let_3 (= C D))) (=> (tptp.m1_subset_1 D _let_1) (and (=> (not _let_3) (= _let_2 (tptp.k13_lattice3 A C D))) (=> _let_3 (= _let_2 (tptp.k3_yellow_0 A)))))))))))))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_yellow_0 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 A)) (tptp.v2_funct_2 (tptp.k17_lattice5 A) (tptp.k2_zfmisc_1 _let_1 _let_1) _let_1)))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_yellow_0 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 A)) (exists ((B $$unsorted)) (and (not (tptp.v1_xboole_0 B)) (exists ((C $$unsorted)) (let ((_let_1 (tptp.k1_lattice5 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.v19_waybel_0 C A _let_1) (tptp.v20_waybel_0 C A _let_1) (tptp.m2_relset_1 C _let_3 _let_2) (tptp.v2_funct_1 C) (tptp.r1_xreal_0 (tptp.k3_lattice5 B (tptp.k2_lattice5 A _let_1 C)) tptp.np__3)))))))))) (=> (forall ((A $$unsorted)) (=> (tptp.m2_subset_1 A tptp.k1_numbers tptp.k5_numbers) (forall ((B $$unsorted)) (exists ((C $$unsorted)) (tptp.p1_s1_lattice5 A B C))))) (exists ((A $$unsorted)) (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (= (tptp.k1_relat_1 A) tptp.k5_numbers) (= (tptp.k1_funct_1 A tptp.np__0) tptp.f1_s1_lattice5) (forall ((B $$unsorted)) (=> (tptp.m2_subset_1 B tptp.k1_numbers tptp.k5_numbers) (tptp.p1_s1_lattice5 B (tptp.k1_funct_1 A B) (tptp.k1_funct_1 A (tptp.k1_nat_1 B tptp.np__1)))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.k2_zfmisc_1 A A))) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.v1_yellow_0 B) (tptp.v1_lattice3 B) (tptp.v2_lattice3 B) (tptp.l1_orders_2 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 $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (=> (tptp.m1_lattice5 D A B C) (tptp.m1_ordinal1 D (tptp.k4_zfmisc_1 A A _let_1 _let_1))))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.k2_zfmisc_1 A A))) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.v1_yellow_0 B) (tptp.v1_lattice3 B) (tptp.v2_lattice3 B) (tptp.l1_orders_2 B) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.m1_relset_1 C _let_2 _let_1)) (exists ((D $$unsorted)) (tptp.m1_lattice5 D A B C)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.k2_zfmisc_1 A A))) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.v1_yellow_0 B) (tptp.v1_lattice3 B) (tptp.v2_lattice3 B) (tptp.l1_orders_2 B) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.v1_lattice5 C A B) (tptp.v2_lattice5 C A B) (tptp.v3_lattice5 C A B) (tptp.m1_relset_1 C _let_2 _let_1)) (forall ((D $$unsorted)) (=> (tptp.m2_lattice5 D A B C) (and (tptp.v1_relat_1 D) (tptp.v1_funct_1 D)))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.k2_zfmisc_1 A A))) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.v1_yellow_0 B) (tptp.v1_lattice3 B) (tptp.v2_lattice3 B) (tptp.l1_orders_2 B) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.v1_lattice5 C A B) (tptp.v2_lattice5 C A B) (tptp.v3_lattice5 C A B) (tptp.m1_relset_1 C _let_2 _let_1)) (exists ((D $$unsorted)) (tptp.m2_lattice5 D A B C)))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k1_lattice5 A))) (and (tptp.v2_orders_2 _let_1) (tptp.v3_orders_2 _let_1) (tptp.v4_orders_2 _let_1) (tptp.l1_orders_2 _let_1)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k2_lattice5 A B C))) (let ((_let_2 (tptp.u1_struct_0 B))) (let ((_let_3 (tptp.u1_struct_0 A))) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 A) (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.v1_lattice3 B) (tptp.v2_lattice3 B) (tptp.l1_orders_2 B) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_3 _let_2) (tptp.v19_waybel_0 C A B) (tptp.v20_waybel_0 C A B) (tptp.m1_relset_1 C _let_3 _let_2)) (and (tptp.v1_orders_2 _let_1) (tptp.v4_yellow_0 _let_1 B) (tptp.v5_yellow_0 _let_1 B) (tptp.v6_yellow_0 _let_1 B) (tptp.m1_yellow_0 _let_1 B))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 A) (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.v1_lattice3 B) (tptp.v2_lattice3 B) (tptp.l1_orders_2 B) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.v19_waybel_0 C A B) (tptp.v20_waybel_0 C A B) (tptp.m1_relset_1 C _let_2 _let_1)) (= (tptp.k2_lattice5 A B C) (tptp.k2_yellow_2 A B C)))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k1_lattice5 A))) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v5_yellow_0 B _let_1) (tptp.v6_yellow_0 B _let_1) (tptp.m1_yellow_0 B _let_1)) (tptp.m2_subset_1 (tptp.k3_lattice5 A B) tptp.k1_numbers tptp.k5_numbers)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.k2_zfmisc_1 A A))) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.v1_yellow_0 B) (tptp.v1_lattice3 B) (tptp.v2_lattice3 B) (tptp.l1_orders_2 B) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.m1_relset_1 C _let_2 _let_1) (tptp.m1_subset_1 D A) (tptp.m1_subset_1 E A)) (tptp.m1_subset_1 (tptp.k4_lattice5 A B C D E) _let_1))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.k2_zfmisc_1 A A))) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.v1_yellow_0 B) (tptp.v1_lattice3 B) (tptp.v2_lattice3 B) (tptp.l1_orders_2 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 D A) (tptp.m1_subset_1 E A)) (= (tptp.k4_lattice5 A B C D E) (tptp.k1_binop_1 C D E)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 (tptp.k1_lattice5 A)))) (let ((_let_2 (tptp.u1_struct_0 B))) (let ((_let_3 (tptp.k5_lattice5 A B C))) (let ((_let_4 (tptp.k2_zfmisc_1 A A))) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.v1_yellow_0 B) (tptp.v1_lattice3 B) (tptp.v2_lattice3 B) (tptp.l1_orders_2 B) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_4 _let_2) (tptp.v1_lattice5 C A B) (tptp.v2_lattice5 C A B) (tptp.v3_lattice5 C A B) (tptp.m1_relset_1 C _let_4 _let_2)) (and (tptp.v1_funct_1 _let_3) (tptp.v1_funct_2 _let_3 _let_2 _let_1) (tptp.m2_relset_1 _let_3 _let_2 _let_1)))))))) true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.k6_lattice5 A))) (let ((_let_3 (tptp.k2_zfmisc_1 _let_2 _let_2))) (let ((_let_4 (tptp.k7_lattice5 A B C D))) (let ((_let_5 (tptp.k2_zfmisc_1 A A))) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.v1_yellow_0 B) (tptp.v1_lattice3 B) (tptp.v2_lattice3 B) (tptp.l1_orders_2 B) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_5 _let_1) (tptp.m1_relset_1 C _let_5 _let_1) (tptp.m1_subset_1 D (tptp.k4_zfmisc_1 A A _let_1 _let_1))) (and (tptp.v1_funct_1 _let_4) (tptp.v1_funct_2 _let_4 _let_3 _let_1) (tptp.m2_relset_1 _let_4 _let_3 _let_1))))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.k2_zfmisc_1 A A))) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.v1_yellow_0 B) (tptp.v1_lattice3 B) (tptp.v2_lattice3 B) (tptp.l1_orders_2 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.v1_card_1 (tptp.k8_lattice5 A B C)))))) true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.k9_lattice5 A E))) (let ((_let_3 (tptp.k2_zfmisc_1 A A))) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.v1_yellow_0 B) (tptp.v1_lattice3 B) (tptp.v2_lattice3 B) (tptp.l1_orders_2 B) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_3 _let_1) (tptp.m1_relset_1 C _let_3 _let_1) (tptp.m1_lattice5 D A B C) (tptp.v3_ordinal1 E)) (tptp.m1_subset_1 (tptp.k10_lattice5 A B C D E) (tptp.k4_zfmisc_1 _let_2 _let_2 _let_1 _let_1))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.k2_zfmisc_1 A A))) (let ((_let_3 (tptp.k11_lattice5 A B C))) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.v1_yellow_0 B) (tptp.v1_lattice3 B) (tptp.v2_lattice3 B) (tptp.l1_orders_2 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))))))) true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.k9_lattice5 A E))) (let ((_let_3 (tptp.k2_zfmisc_1 _let_2 _let_2))) (let ((_let_4 (tptp.k13_lattice5 A B C D E))) (let ((_let_5 (tptp.k2_zfmisc_1 A A))) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.v1_yellow_0 B) (tptp.v1_lattice3 B) (tptp.v2_lattice3 B) (tptp.l1_orders_2 B) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_5 _let_1) (tptp.m1_relset_1 C _let_5 _let_1) (tptp.m1_lattice5 D A B C) (tptp.v3_ordinal1 E)) (and (tptp.v1_funct_1 _let_4) (tptp.v1_funct_2 _let_4 _let_3 _let_1) (tptp.m2_relset_1 _let_4 _let_3 _let_1))))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.k2_zfmisc_1 A A))) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.v1_yellow_0 B) (tptp.v1_lattice3 B) (tptp.v2_lattice3 B) (tptp.l1_orders_2 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_lattice5 D A B C) (tptp.v3_ordinal1 E)) (= (tptp.k13_lattice5 A B C D E) (tptp.k12_lattice5 A B C D E)))))) true true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.k14_lattice5 A B C))) (let ((_let_3 (tptp.k2_zfmisc_1 _let_2 _let_2))) (let ((_let_4 (tptp.k16_lattice5 A B C D))) (let ((_let_5 (tptp.k2_zfmisc_1 A A))) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.v1_yellow_0 B) (tptp.v1_lattice3 B) (tptp.v2_lattice3 B) (tptp.l1_orders_2 B) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_5 _let_1) (tptp.v1_lattice5 C A B) (tptp.v2_lattice5 C A B) (tptp.v3_lattice5 C A B) (tptp.m1_relset_1 C _let_5 _let_1) (tptp.m1_lattice5 D A B C)) (and (tptp.v1_funct_1 _let_4) (tptp.v1_funct_2 _let_4 _let_3 _let_1) (tptp.v1_lattice5 _let_4 _let_2 B) (tptp.v2_lattice5 _let_4 _let_2 B) (tptp.v3_lattice5 _let_4 _let_2 B) (tptp.m2_relset_1 _let_4 _let_3 _let_1))))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.k2_zfmisc_1 A A))) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.v1_yellow_0 B) (tptp.v1_lattice3 B) (tptp.v2_lattice3 B) (tptp.l1_orders_2 B) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.v1_lattice5 C A B) (tptp.v2_lattice5 C A B) (tptp.v3_lattice5 C A B) (tptp.m1_relset_1 C _let_2 _let_1) (tptp.m1_lattice5 D A B C)) (= (tptp.k16_lattice5 A B C D) (tptp.k15_lattice5 A B C D)))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.k2_zfmisc_1 _let_1 _let_1))) (let ((_let_3 (tptp.k17_lattice5 A))) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_yellow_0 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 A)) (and (tptp.v1_funct_1 _let_3) (tptp.v1_funct_2 _let_3 _let_2 _let_1) (tptp.v1_lattice5 _let_3 _let_1 A) (tptp.v2_lattice5 _let_3 _let_1 A) (tptp.v3_lattice5 _let_3 _let_1 A) (tptp.m2_relset_1 _let_3 _let_2 _let_1))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (= (tptp.k2_zfmisc_1 (tptp.k3_tarski A) (tptp.k3_tarski B)) (tptp.k3_tarski (tptp.a_2_0_lattice5 A B))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k3_tarski A))) (=> (not (tptp.v1_xboole_0 A)) (=> (tptp.v6_ordinal1 A) (= (tptp.k2_zfmisc_1 _let_1 _let_1) (tptp.k3_tarski (tptp.a_1_0_lattice5 A))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (and (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.v1_yellow_0 B) (tptp.v1_lattice3 B) (tptp.v2_lattice3 B) (tptp.l1_orders_2 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.m2_relset_1 C _let_2 _let_1)) (forall ((D $$unsorted)) (=> (tptp.v1_card_1 D) (= (= D (tptp.k8_lattice5 A B C)) (tptp.r2_tarski D (tptp.a_3_0_lattice5 A B C))))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (and (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.v1_yellow_0 B) (tptp.v1_lattice3 B) (tptp.v2_lattice3 B) (tptp.l1_orders_2 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.m2_relset_1 C _let_2 _let_1)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (=> (tptp.m1_ordinal1 D (tptp.k4_zfmisc_1 A A _let_1 _let_1)) (= (tptp.m1_lattice5 D A B C) (and (tptp.v1_card_1 (tptp.k1_relat_1 D)) (tptp.v2_funct_1 D) (= (tptp.k2_relat_1 D) (tptp.a_3_0_lattice5 A B C))))))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_yellow_0 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m2_lattice5 B (tptp.u1_struct_0 A) A (tptp.k17_lattice5 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.k2_zfmisc_1 C C))) (let ((_let_3 (tptp.k3_tarski (tptp.a_2_2_lattice5 A B)))) (=> (not (tptp.v1_xboole_0 C)) (=> (= C (tptp.k3_tarski (tptp.a_2_1_lattice5 A B))) (and (tptp.v1_funct_1 _let_3) (tptp.v1_funct_2 _let_3 _let_2 _let_1) (tptp.v1_lattice5 _let_3 C A) (tptp.v2_lattice5 _let_3 C A) (tptp.v3_lattice5 _let_3 C A) (tptp.m2_relset_1 _let_3 _let_2 _let_1)))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_yellow_0 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m2_lattice5 B (tptp.u1_struct_0 A) A (tptp.k17_lattice5 A)) (forall ((C $$unsorted)) (=> (not (tptp.v1_xboole_0 C)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.k2_zfmisc_1 C C))) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D _let_2 _let_1) (tptp.v1_lattice5 D C A) (tptp.v2_lattice5 D C A) (tptp.v3_lattice5 D C A) (tptp.m2_relset_1 D _let_2 _let_1)) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E C) (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F C) (forall ((G $$unsorted)) (=> (tptp.m1_subset_1 G (tptp.u1_struct_0 A)) (forall ((H $$unsorted)) (=> (tptp.m1_subset_1 H (tptp.u1_struct_0 A)) (not (and (= C (tptp.k3_tarski (tptp.a_2_1_lattice5 A B))) (= D (tptp.k3_tarski (tptp.a_2_2_lattice5 A B))) (tptp.r3_orders_2 A (tptp.k4_lattice5 C A D E F) (tptp.k13_lattice3 A G H)) (forall ((I $$unsorted)) (=> (tptp.m1_subset_1 I C) (forall ((J $$unsorted)) (=> (tptp.m1_subset_1 J C) (forall ((K $$unsorted)) (=> (tptp.m1_subset_1 K C) (not (and (= (tptp.k4_lattice5 C A D E I) G) (= (tptp.k4_lattice5 C A D J K) G) (= (tptp.k4_lattice5 C A D I J) H) (= (tptp.k4_lattice5 C A D K F) H))))))))))))))))))))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_yellow_0 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m2_lattice5 B (tptp.u1_struct_0 A) A (tptp.k17_lattice5 A)) (forall ((C $$unsorted)) (=> (not (tptp.v1_xboole_0 C)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.k2_zfmisc_1 C C))) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D _let_2 _let_1) (tptp.v1_lattice5 D C A) (tptp.v2_lattice5 D C A) (tptp.v3_lattice5 D C A) (tptp.m2_relset_1 D _let_2 _let_1)) (forall ((E $$unsorted)) (let ((_let_1 (tptp.k1_lattice5 C))) (let ((_let_2 (tptp.u1_struct_0 _let_1))) (let ((_let_3 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 E) (tptp.v1_funct_2 E _let_3 _let_2) (tptp.v19_waybel_0 E A _let_1) (tptp.v20_waybel_0 E A _let_1) (tptp.m2_relset_1 E _let_3 _let_2)) (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F C) (forall ((G $$unsorted)) (=> (tptp.m1_subset_1 G C) (forall ((H $$unsorted)) (=> (and (tptp.v1_partfun1 H C C) (tptp.v3_relat_2 H) (tptp.v8_relat_2 H) (tptp.m2_relset_1 H C C)) (forall ((I $$unsorted)) (=> (and (tptp.v1_partfun1 I C C) (tptp.v3_relat_2 I) (tptp.v8_relat_2 I) (tptp.m2_relset_1 I C C)) (forall ((J $$unsorted) (K $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 (tptp.k2_lattice5 A (tptp.k1_lattice5 C) E)))) (not (and (= E (tptp.k5_lattice5 C A D)) (= C (tptp.k3_tarski (tptp.a_2_1_lattice5 A B))) (= D (tptp.k3_tarski (tptp.a_2_2_lattice5 A B))) (tptp.r2_hidden H _let_1) (tptp.r2_hidden I _let_1) (tptp.r2_hidden (tptp.k4_tarski J K) (tptp.k5_eqrel_1 C H I)) (forall ((L $$unsorted)) (=> (and (not (tptp.v1_xboole_0 L)) (tptp.m2_finseq_1 L C)) (not (and (= (tptp.k3_finseq_1 L) (tptp.k1_nat_1 tptp.np__3 tptp.np__2)) (tptp.r1_lattice5 C L J K H I)))))))))))))))))))))))))))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (not (tptp.v1_xboole_0 C))) (= (tptp.r2_hidden A (tptp.a_2_0_lattice5 B C)) (exists ((D $$unsorted) (E $$unsorted)) (and (tptp.m1_subset_1 D B) (tptp.m1_subset_1 E C) (= A (tptp.k2_zfmisc_1 D E)) (tptp.r2_hidden D B) (tptp.r2_hidden E C)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (= (tptp.r2_hidden A (tptp.a_1_0_lattice5 B)) (exists ((C $$unsorted)) (and (tptp.m1_subset_1 C B) (= A (tptp.k2_zfmisc_1 C C)) (tptp.r2_hidden C B)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 C))) (let ((_let_2 (tptp.k2_zfmisc_1 B B))) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.v2_orders_2 C) (tptp.v3_orders_2 C) (tptp.v4_orders_2 C) (tptp.v1_yellow_0 C) (tptp.v1_lattice3 C) (tptp.v2_lattice3 C) (tptp.l1_orders_2 C) (tptp.v1_funct_1 D) (tptp.v1_funct_2 D _let_2 _let_1) (tptp.m2_relset_1 D _let_2 _let_1)) (= (tptp.r2_hidden A (tptp.a_3_0_lattice5 B C D)) (exists ((E $$unsorted) (F $$unsorted) (G $$unsorted) (H $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 C))) (and (tptp.m1_subset_1 E B) (tptp.m1_subset_1 F B) (tptp.m1_subset_1 G _let_1) (tptp.m1_subset_1 H _let_1) (= A (tptp.k5_domain_1 B B _let_1 _let_1 E F G H)) (tptp.r3_orders_2 C (tptp.k4_lattice5 B C D E F) (tptp.k13_lattice3 C G H)))))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.v1_yellow_0 B) (tptp.v1_lattice3 B) (tptp.v2_lattice3 B) (tptp.l1_orders_2 B) (tptp.m2_lattice5 C (tptp.u1_struct_0 B) B (tptp.k17_lattice5 B))) (= (tptp.r2_hidden A (tptp.a_2_1_lattice5 B C)) (exists ((D $$unsorted)) (and (tptp.m2_subset_1 D tptp.k1_numbers tptp.k5_numbers) (= A (tptp.k1_mcart_1 (tptp.k1_funct_1 C D)))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.v1_yellow_0 B) (tptp.v1_lattice3 B) (tptp.v2_lattice3 B) (tptp.l1_orders_2 B) (tptp.m2_lattice5 C (tptp.u1_struct_0 B) B (tptp.k17_lattice5 B))) (= (tptp.r2_hidden A (tptp.a_2_2_lattice5 B C)) (exists ((D $$unsorted)) (and (tptp.m2_subset_1 D tptp.k1_numbers tptp.k5_numbers) (= A (tptp.k2_mcart_1 (tptp.k1_funct_1 C D)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v2_yellow_0 A) (tptp.l1_orders_2 A)) (not (tptp.v1_xboole_0 (tptp.k9_waybel_0 A))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k2_yellow_1 (tptp.k9_waybel_0 A)))) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v2_lattice3 A) (tptp.v2_yellow_0 A) (tptp.l1_orders_2 A)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v1_orders_2 _let_1) (tptp.v2_orders_2 _let_1) (tptp.v3_orders_2 _let_1) (tptp.v4_orders_2 _let_1) (tptp.v2_lattice3 _let_1) (tptp.v3_lattice3 _let_1) (tptp.v1_yellow_0 _let_1) (tptp.v24_waybel_0 _let_1) (tptp.v25_waybel_0 _let_1))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 C _let_1) (= (tptp.k2_yellow_0 A (tptp.k5_subset_1 _let_1 (tptp.k7_waybel_0 A B) (tptp.k7_waybel_0 A C))) (tptp.k13_lattice3 A B C))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 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_yellow_0 A (tptp.k5_subset_1 _let_1 (tptp.k6_waybel_0 A B) (tptp.k6_waybel_0 A C))) (tptp.k12_lattice3 A B C))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k7_waybel_0 A C))) (let ((_let_2 (tptp.k7_waybel_0 A B))) (let ((_let_3 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 C _let_3) (=> (tptp.r3_waybel_4 A (tptp.k4_xboole_0 _let_3 _let_1) B) (= (tptp.k6_subset_1 _let_3 _let_2 (tptp.k1_struct_0 A B)) (tptp.k5_subset_1 _let_3 _let_2 _let_1)))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k6_waybel_0 A C))) (let ((_let_2 (tptp.k6_waybel_0 A B))) (let ((_let_3 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 C _let_3) (=> (tptp.r5_waybel_4 A (tptp.k4_xboole_0 _let_3 _let_1) B) (= (tptp.k6_subset_1 _let_3 _let_2 (tptp.k1_struct_0 A B)) (tptp.k5_subset_1 _let_3 _let_2 _let_1)))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$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.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 (tptp.k7_lattice3 A)))) (forall ((E $$unsorted)) (let ((_let_1 (tptp.k7_lattice3 A))) (=> (tptp.m1_subset_1 E (tptp.k1_zfmisc_1 (tptp.u1_struct_0 _let_1))) (=> (and (= B D) (= C E)) (= (tptp.k2_yellow_4 A B C) (tptp.k4_yellow_4 _let_1 D E)))))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 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 $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 (tptp.k7_lattice3 A)))) (forall ((E $$unsorted)) (let ((_let_1 (tptp.k7_lattice3 A))) (=> (tptp.m1_subset_1 E (tptp.k1_zfmisc_1 (tptp.u1_struct_0 _let_1))) (=> (and (= B D) (= C E)) (= (tptp.k4_yellow_4 A B C) (tptp.k2_yellow_4 _let_1 D E)))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.l1_orders_2 A)) (= (tptp.k9_waybel_0 A) (tptp.k8_waybel_0 (tptp.k7_lattice3 A))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.l1_orders_2 A)) (= (tptp.k8_waybel_0 A) (tptp.k9_waybel_0 (tptp.k7_lattice3 A))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v3_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.v3_lattice3 B) (tptp.l1_orders_2 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.m2_relset_1 C _let_2 _let_1)) (= (tptp.m1_waybel16 C A B) (and (tptp.v22_waybel_0 C A B) (tptp.v17_waybel_0 C A B))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v3_lattice3 A) (tptp.v3_waybel_3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (tptp.r1_waybel16 A B) (forall ((C $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.v2_orders_2 C) (tptp.v3_orders_2 C) (tptp.v4_orders_2 C) (tptp.v3_lattice3 C) (tptp.v3_waybel_3 C) (tptp.l1_orders_2 C)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 C))) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D B _let_1) (tptp.m2_relset_1 D B _let_1)) (exists ((E $$unsorted)) (and (tptp.m1_waybel16 E A C) (= (tptp.k7_relat_1 E B) D) (forall ((F $$unsorted)) (=> (tptp.m1_waybel16 F A C) (=> (= (tptp.k7_relat_1 F B) D) (= F E)))))))))))))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k3_yellow_1 A))) (let ((_let_2 (tptp.k1_setfam_1 B))) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 (tptp.k2_yellow_1 (tptp.k9_waybel_0 _let_1)))))) (and (not (tptp.v1_xboole_0 _let_2)) (tptp.v2_waybel_0 _let_2 _let_1) (tptp.v13_waybel_0 _let_2 _let_1) (tptp.m1_subset_1 _let_2 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 _let_1)))))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k2_yellow_1 (tptp.k9_waybel_0 (tptp.k3_yellow_1 A))))) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 _let_1)))) (and (tptp.r2_yellow_0 _let_1 B) (= (tptp.k2_yellow_0 _let_1 B) (tptp.k1_setfam_1 B)))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k3_yellow_1 A))) (let ((_let_2 (tptp.k1_zfmisc_1 A))) (and (not (tptp.v1_xboole_0 _let_2)) (tptp.v2_waybel_0 _let_2 _let_1) (tptp.v13_waybel_0 _let_2 _let_1) (tptp.m1_subset_1 _let_2 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 _let_1))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k3_yellow_1 A))) (let ((_let_2 (tptp.k1_tarski A))) (and (not (tptp.v1_xboole_0 _let_2)) (tptp.v2_waybel_0 _let_2 _let_1) (tptp.v13_waybel_0 _let_2 _let_1) (tptp.m1_subset_1 _let_2 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 _let_1))))))) (forall ((A $$unsorted)) (tptp.v2_yellow_0 (tptp.k2_yellow_1 (tptp.k9_waybel_0 (tptp.k3_yellow_1 A))))) (forall ((A $$unsorted)) (tptp.v1_yellow_0 (tptp.k2_yellow_1 (tptp.k9_waybel_0 (tptp.k3_yellow_1 A))))) (forall ((A $$unsorted)) (= (tptp.k4_yellow_0 (tptp.k2_yellow_1 (tptp.k9_waybel_0 (tptp.k3_yellow_1 A)))) (tptp.k1_zfmisc_1 A))) (forall ((A $$unsorted)) (= (tptp.k3_yellow_0 (tptp.k2_yellow_1 (tptp.k9_waybel_0 (tptp.k3_yellow_1 A)))) (tptp.k1_tarski A))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k2_yellow_1 A))) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 _let_1)))) (=> (tptp.r1_yellow_0 _let_1 B) (tptp.r1_tarski (tptp.k3_tarski B) (tptp.k1_yellow_0 _let_1 B)))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v2_lattice3 A) (tptp.v2_yellow_0 A) (tptp.l1_orders_2 A)) (tptp.v3_lattice3 (tptp.k2_yellow_1 (tptp.k9_waybel_0 A))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 B _let_1) (= (tptp.v1_waybel16 B A) (tptp.r1_waybel_1 A (tptp.k6_subset_1 _let_1 (tptp.k7_waybel_0 A B) (tptp.k1_struct_0 A B))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 B _let_1) (not (and (tptp.v1_waybel16 B A) (= (tptp.k2_yellow_0 A (tptp.k6_subset_1 _let_1 (tptp.k7_waybel_0 A B) (tptp.k1_struct_0 A B))) B)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (= B (tptp.k1_waybel16 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (tptp.r2_hidden C B) (tptp.v1_waybel16 C A))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (= (tptp.v1_waybel16 B A) (exists ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (and (tptp.m1_subset_1 C _let_1) (tptp.r2_orders_2 A B C) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (=> (tptp.r2_orders_2 A B D) (tptp.r3_orders_2 A C D)))) (= (tptp.k7_waybel_0 A B) (tptp.k4_subset_1 _let_1 (tptp.k1_struct_0 A B) (tptp.k7_waybel_0 A C))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v2_yellow_0 A) (tptp.l1_orders_2 A)) (not (tptp.r2_hidden (tptp.k4_yellow_0 A) (tptp.k1_waybel16 A))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 A)) (tptp.r1_tarski (tptp.k1_waybel16 A) (tptp.k3_waybel_6 A)))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (=> (tptp.v1_waybel16 B A) (tptp.v2_waybel_6 B A)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (=> (tptp.v1_waybel16 B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (and (tptp.r2_yellow_0 A C) (= B (tptp.k2_yellow_0 A C))) (tptp.r2_hidden B C))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (tptp.v4_waybel_6 B A) (tptp.r1_tarski (tptp.k1_waybel16 A) B)))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (=> (exists ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (and (tptp.m1_subset_1 C _let_1) (tptp.r3_waybel_4 A (tptp.k4_xboole_0 _let_1 (tptp.k7_waybel_0 A C)) B)))) (tptp.v1_waybel16 B A)))))) (forall ((A $$unsorted)) (=> (and (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.l1_orders_2 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 $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (=> (and (tptp.r2_orders_2 A B C) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.u1_struct_0 A)) (=> (tptp.r2_orders_2 A B E) (tptp.r1_orders_2 A C E))))) (or (tptp.r1_orders_2 A D B) (= (tptp.k13_lattice3 A B D) (tptp.k13_lattice3 A C D)))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v2_waybel_1 A) (tptp.l1_orders_2 A)) (forall ((B $$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)) (not (and (tptp.r2_orders_2 A B C) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.u1_struct_0 A)) (=> (tptp.r2_orders_2 A B E) (tptp.r3_orders_2 A C E)))) (not (tptp.r3_orders_2 A D B)) (tptp.r3_orders_2 A (tptp.k12_lattice3 A D C) B))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_lattice3 A) (tptp.v2_waybel_1 A) (tptp.l1_orders_2 A)) (=> (tptp.v2_waybel_2 (tptp.k7_lattice3 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.k4_xboole_0 _let_1 (tptp.k6_waybel_0 A B)))) (=> (tptp.m1_subset_1 B _let_1) (=> (tptp.v1_waybel16 B A) (and (not (tptp.v1_xboole_0 _let_2)) (tptp.v2_waybel_0 _let_2 A) (tptp.v13_waybel_0 _let_2 A) (tptp.v1_waybel_6 _let_2 A) (tptp.m1_subset_1 _let_2 (tptp.k1_zfmisc_1 _let_1))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_lattice3 A) (tptp.v2_waybel_1 A) (tptp.l1_orders_2 A)) (=> (tptp.v2_waybel_2 (tptp.k7_lattice3 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (not (and (tptp.v1_waybel16 B A) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 C _let_1) (not (and (tptp.r2_hidden C (tptp.u1_struct_0 (tptp.k1_waybel_8 A))) (tptp.r3_waybel_4 A (tptp.k4_xboole_0 _let_1 (tptp.k7_waybel_0 A C)) B))))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v1_yellow_0 A) (tptp.v2_waybel_8 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (not (and (not (tptp.r3_orders_2 A C B)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (not (and (tptp.v1_waybel16 D A) (tptp.r3_orders_2 A B D) (not (tptp.r3_orders_2 A C D)))))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v1_yellow_0 A) (tptp.v2_waybel_8 A) (tptp.l1_orders_2 A)) (and (tptp.v4_waybel_6 (tptp.k1_waybel16 A) A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (tptp.v4_waybel_6 B A) (tptp.r1_tarski (tptp.k1_waybel16 A) B))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v1_yellow_0 A) (tptp.v2_waybel_8 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 B _let_1) (= B (tptp.k2_yellow_0 A (tptp.k5_subset_1 _let_1 (tptp.k7_waybel_0 A B) (tptp.k1_waybel16 A))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v3_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (=> (and (tptp.v1_waybel16 C A) (= C (tptp.k2_yellow_0 A B))) (tptp.r2_hidden C B)))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_lattice3 A) (tptp.v2_waybel_8 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (= (exists ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (and (tptp.m1_subset_1 C _let_1) (tptp.r2_hidden C (tptp.u1_struct_0 (tptp.k1_waybel_8 A))) (tptp.r3_waybel_4 A (tptp.k4_xboole_0 _let_1 (tptp.k7_waybel_0 A C)) B)))) (tptp.v1_waybel16 B A)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v3_lattice3 A) (tptp.l1_orders_2 A) (not (tptp.v3_struct_0 B)) (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.v3_lattice3 B) (tptp.l1_orders_2 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (tptp.m1_waybel16 C A B) (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.m2_relset_1 C _let_2 _let_1)))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v3_lattice3 A) (tptp.l1_orders_2 A) (not (tptp.v3_struct_0 B)) (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.v3_lattice3 B) (tptp.l1_orders_2 B)) (exists ((C $$unsorted)) (tptp.m1_waybel16 C A B)))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (tptp.m1_subset_1 (tptp.k1_waybel16 A) (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_lattice3 A) (tptp.v2_waybel_8 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (=> (tptp.v1_waybel16 B A) (= B (tptp.k2_yellow_0 A (tptp.a_2_0_waybel16 A B)))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.v1_lattice3 B) (tptp.v2_lattice3 B) (tptp.v3_lattice3 B) (tptp.v2_waybel_8 B) (tptp.l1_orders_2 B) (tptp.m1_subset_1 C (tptp.u1_struct_0 B))) (= (tptp.r2_hidden A (tptp.a_2_0_waybel16 B C)) (exists ((D $$unsorted)) (and (tptp.m1_subset_1 D (tptp.u1_struct_0 B)) (= A D) (tptp.r2_hidden D (tptp.k7_waybel_0 B C)) (exists ((E $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (and (tptp.m1_subset_1 E _let_1) (tptp.r2_hidden E (tptp.u1_struct_0 (tptp.k1_waybel_8 B))) (tptp.r3_waybel_4 B (tptp.k4_xboole_0 _let_1 (tptp.k7_waybel_0 B E)) D))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v4_orders_2 A) (tptp.l1_orders_2 A) (not (tptp.v3_struct_0 B)) (tptp.v2_orders_2 B) (tptp.v4_orders_2 B) (tptp.l1_orders_2 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (let ((_let_3 (tptp.v1_funct_2 C _let_2 _let_1))) (let ((_let_4 (tptp.v1_funct_1 C))) (=> (tptp.m1_relset_1 C _let_2 _let_1) (=> (and _let_4 _let_3 (tptp.v22_waybel_0 C A B)) (and (not (tptp.v1_xboole_0 C)) _let_4 _let_3 (tptp.v5_orders_3 C A B) (tptp.v1_partfun1 C _let_2 _let_1))))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v24_waybel_0 A) (tptp.v4_waybel11 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.l1_waybel_9 A) (tptp.v2_pre_topc B) (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.v24_waybel_0 B) (tptp.v4_waybel11 B) (tptp.v1_lattice3 B) (tptp.v2_lattice3 B) (tptp.l1_waybel_9 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (let ((_let_3 (tptp.v1_funct_2 C _let_2 _let_1))) (let ((_let_4 (tptp.v1_funct_1 C))) (=> (tptp.m1_relset_1 C _let_2 _let_1) (=> (and _let_4 _let_3 (tptp.v5_pre_topc C A B)) (and (not (tptp.v1_xboole_0 C)) _let_4 _let_3 (tptp.v5_orders_3 C A B) (tptp.v1_partfun1 C _let_2 _let_1))))))))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k2_funcop_1 A B))) (=> (and (tptp.v2_orders_2 B) (tptp.l1_orders_2 B)) (and (tptp.v1_relat_1 _let_1) (tptp.v1_funct_1 _let_1) (tptp.v5_waybel_3 _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k6_yellow_1 A B))) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.v1_lattice3 B) (tptp.v2_lattice3 B) (tptp.v3_lattice3 B) (tptp.l1_orders_2 B)) (and (tptp.v1_orders_2 _let_1) (tptp.v3_lattice3 _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k2_waybel17 A B))) (=> (and (tptp.v2_pre_topc A) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v24_waybel_0 A) (tptp.v4_waybel11 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.l1_waybel_9 A) (tptp.v2_pre_topc B) (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.v24_waybel_0 B) (tptp.v4_waybel11 B) (tptp.v1_lattice3 B) (tptp.v2_lattice3 B) (tptp.l1_waybel_9 B)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v1_orders_2 _let_1) (tptp.v4_yellow_0 _let_1 (tptp.k7_yellow_1 A B)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k3_waybel17 A B C))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A) (tptp.m1_subset_1 B _let_2) (tptp.m1_subset_1 C _let_2)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v2_orders_2 _let_1) (tptp.v3_orders_2 _let_1) (tptp.v4_orders_2 _let_1) (tptp.v6_waybel_0 _let_1 A) (tptp.v7_waybel_0 _let_1)))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k4_waybel17 A B))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.l1_orders_2 A) (not (tptp.v1_xboole_0 B)) (tptp.v1_waybel_0 B A) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v2_orders_2 _let_1) (tptp.v6_waybel_0 _let_1 A) (tptp.v7_waybel_0 _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k4_waybel17 A B))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.l1_orders_2 A) (not (tptp.v1_xboole_0 B)) (tptp.v1_waybel_0 B A) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v2_orders_2 _let_1) (tptp.v3_orders_2 _let_1) (tptp.v6_waybel_0 _let_1 A) (tptp.v7_waybel_0 _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k4_waybel17 A B))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.l1_orders_2 A) (not (tptp.v1_xboole_0 B)) (tptp.v1_waybel_0 B A) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v2_orders_2 _let_1) (tptp.v6_waybel_0 _let_1 A) (tptp.v7_waybel_0 _let_1) (tptp.v8_waybel_0 _let_1 A) (tptp.v10_waybel_0 _let_1 A))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k7_waybel_9 A B C D))) (let ((_let_2 (tptp.u1_struct_0 B))) (let ((_let_3 (tptp.u1_struct_0 A))) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v24_waybel_0 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 A) (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.v24_waybel_0 B) (tptp.v1_lattice3 B) (tptp.v2_lattice3 B) (tptp.l1_orders_2 B) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_3 _let_2) (tptp.v5_orders_3 C A B) (tptp.m1_relset_1 C _let_3 _let_2) (not (tptp.v3_struct_0 D)) (tptp.v8_waybel_0 D A) (tptp.l1_waybel_0 D A)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v6_waybel_0 _let_1 B) (tptp.v8_waybel_0 _let_1 B))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v4_waybel11 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_lattice3 A) (tptp.l1_waybel_9 A) (tptp.v2_pre_topc B) (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.v4_waybel11 B) (tptp.v1_lattice3 B) (tptp.v2_lattice3 B) (tptp.v3_lattice3 B) (tptp.l1_waybel_9 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (let ((_let_3 (tptp.v1_funct_2 C _let_2 _let_1))) (let ((_let_4 (tptp.v1_funct_1 C))) (=> (tptp.m1_relset_1 C _let_2 _let_1) (=> (and _let_4 _let_3 (tptp.v5_pre_topc C A B)) (and (not (tptp.v1_xboole_0 C)) _let_4 _let_3 (tptp.v5_orders_3 C A B) (tptp.v1_partfun1 C _let_2 _let_1) (tptp.v22_waybel_0 C A B))))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v4_waybel11 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_lattice3 A) (tptp.l1_waybel_9 A) (tptp.v2_pre_topc B) (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.v4_waybel11 B) (tptp.v1_lattice3 B) (tptp.v2_lattice3 B) (tptp.v3_lattice3 B) (tptp.l1_waybel_9 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (let ((_let_3 (tptp.v1_funct_2 C _let_2 _let_1))) (let ((_let_4 (tptp.v1_funct_1 C))) (=> (tptp.m1_relset_1 C _let_2 _let_1) (=> (and _let_4 _let_3 (tptp.v22_waybel_0 C A B)) (and (not (tptp.v1_xboole_0 C)) _let_4 _let_3 (tptp.v5_pre_topc C A B) (tptp.v5_orders_3 C A B) (tptp.v1_partfun1 C _let_2 _let_1))))))))))) (forall ((A $$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 $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D tptp.k5_numbers A) (tptp.m2_relset_1 D tptp.k5_numbers A)) (= (= D (tptp.k1_waybel17 A B C)) (forall ((E $$unsorted)) (let ((_let_1 (tptp.k8_funct_2 tptp.k5_numbers A D E))) (=> (tptp.m2_subset_1 E tptp.k1_numbers tptp.k5_numbers) (and (=> (exists ((F $$unsorted)) (and (tptp.m2_subset_1 F tptp.k1_numbers tptp.k5_numbers) (= E (tptp.k2_nat_1 tptp.np__2 F)))) (= _let_1 B)) (=> (forall ((F $$unsorted)) (=> (tptp.m2_subset_1 F tptp.k1_numbers tptp.k5_numbers) (not (= E (tptp.k2_nat_1 tptp.np__2 F))))) (= _let_1 C))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_orders_2 B) (tptp.l1_orders_2 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.m2_relset_1 C _let_2 _let_1)) (forall ((D $$unsorted)) (=> (and (tptp.v12_waybel_0 D B) (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B)))) (=> (tptp.v5_orders_3 C A B) (tptp.v12_waybel_0 (tptp.k5_pre_topc A B C D) A)))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_orders_2 B) (tptp.l1_orders_2 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.m2_relset_1 C _let_2 _let_1)) (forall ((D $$unsorted)) (=> (and (tptp.v13_waybel_0 D B) (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B)))) (=> (tptp.v5_orders_3 C A B) (tptp.v13_waybel_0 (tptp.k5_pre_topc A B C D) A)))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v4_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_orders_2 B) (tptp.v4_orders_2 B) (tptp.l1_orders_2 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.m2_relset_1 C _let_2 _let_1)) (=> (tptp.v22_waybel_0 C A B) (tptp.v5_orders_3 C A B)))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v24_waybel_0 A) (tptp.v4_waybel11 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.l1_waybel_9 A)) (forall ((B $$unsorted)) (=> (and (tptp.v2_pre_topc B) (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.v24_waybel_0 B) (tptp.v4_waybel11 B) (tptp.v1_lattice3 B) (tptp.v2_lattice3 B) (tptp.l1_waybel_9 B)) (forall ((C $$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) (tptp.v5_orders_3 C A B)))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v24_waybel_0 A) (tptp.v4_waybel11 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.l1_waybel_9 A)) (forall ((B $$unsorted)) (=> (and (tptp.v2_pre_topc B) (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.v24_waybel_0 B) (tptp.v4_waybel11 B) (tptp.v1_lattice3 B) (tptp.v2_lattice3 B) (tptp.l1_waybel_9 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k7_yellow_1 A B))) (=> (and (tptp.v1_orders_2 C) (tptp.v4_yellow_0 C _let_1) (tptp.m1_yellow_0 C _let_1)) (= (= C (tptp.k2_waybel17 A B)) (forall ((D $$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.m2_relset_1 D _let_2 _let_1)) (= (tptp.r2_hidden D (tptp.u1_struct_0 C)) (tptp.v5_pre_topc D A B)))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (forall ((B $$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))) (let ((_let_2 (tptp.u1_struct_0 D))) (=> (and (not (tptp.v3_struct_0 D)) (tptp.v6_waybel_0 D A) (tptp.l1_waybel_0 D A)) (= (= D (tptp.k3_waybel17 A B C)) (and (= _let_2 tptp.k5_numbers) (tptp.r4_nattra_1 _let_2 _let_1 tptp.k5_numbers _let_1 (tptp.u1_waybel_0 A D) (tptp.k1_waybel17 _let_1 B C)) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.u1_struct_0 D)) (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F (tptp.u1_struct_0 D)) (forall ((G $$unsorted)) (=> (tptp.m2_subset_1 G tptp.k1_numbers tptp.k5_numbers) (forall ((H $$unsorted)) (=> (tptp.m2_subset_1 H tptp.k1_numbers tptp.k5_numbers) (=> (and (= E G) (= F H)) (= (tptp.r1_orders_2 D E F) (tptp.r1_xreal_0 G H))))))))))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (forall ((B $$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_waybel17 A B C))) (let ((_let_2 (tptp.k3_waybel_0 A _let_1 D))) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 _let_1)) (or (= _let_2 B) (= _let_2 C)))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (forall ((B $$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.k3_waybel17 A B C))) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.u1_struct_0 (tptp.k3_waybel17 A B C))) (forall ((F $$unsorted)) (=> (tptp.m2_subset_1 F tptp.k1_numbers tptp.k5_numbers) (forall ((G $$unsorted)) (let ((_let_1 (tptp.k3_waybel17 A B C))) (let ((_let_2 (tptp.k3_waybel_0 A _let_1 E))) (let ((_let_3 (tptp.k3_waybel_0 A _let_1 D))) (=> (tptp.m2_subset_1 G tptp.k1_numbers tptp.k5_numbers) (=> (and (= F D) (= G (tptp.k1_nat_1 F tptp.np__1)) (= G E)) (and (=> (= _let_3 B) (= _let_2 C)) (=> (= _let_3 C) (= _let_2 B))))))))))))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 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_waybel11 A (tptp.k3_waybel17 A B C)) (tptp.k12_lattice3 A B C)))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.v2_lattice3 B) (tptp.l1_orders_2 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 $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.u1_struct_0 B))) (=> (and (tptp.v1_funct_1 E) (tptp.v1_funct_2 E _let_1 _let_2) (tptp.m2_relset_1 E _let_1 _let_2)) (= (tptp.k1_waybel11 B (tptp.k7_waybel_9 A B E (tptp.k3_waybel17 A C D))) (tptp.k12_lattice3 B (tptp.k7_yellow_2 _let_1 B E C) (tptp.k7_yellow_2 _let_1 B E D))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 _let_1))) (= (tptp.k4_waybel17 A B) (tptp.g1_waybel_0 A B (tptp.k1_toler_1 (tptp.u1_orders_2 A) B) (tptp.k1_nattra_1 _let_1 _let_1 (tptp.k6_partfun1 _let_1) B)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 _let_1))) (= (tptp.k4_waybel17 A B) (tptp.k3_waybel11 A B (tptp.k1_nattra_1 _let_1 _let_1 (tptp.k6_partfun1 _let_1) B)))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v24_waybel_0 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.v1_waybel_0 B A) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (= (tptp.k1_waybel11 A (tptp.k4_waybel17 A B)) (tptp.k1_yellow_0 A B)))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.v1_lattice3 B) (tptp.v2_lattice3 B) (tptp.l1_orders_2 B)) (forall ((C $$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)) (=> (forall ((D $$unsorted)) (=> (and (not (tptp.v3_struct_0 D)) (tptp.v3_orders_2 D) (tptp.v7_waybel_0 D) (tptp.l1_waybel_0 D A)) (tptp.r3_orders_2 B (tptp.k7_yellow_2 (tptp.u1_struct_0 A) B C (tptp.k1_waybel11 A D)) (tptp.k1_waybel11 B (tptp.k7_waybel_9 A B C D))))) (tptp.v5_orders_3 C A B)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.l1_orders_2 B)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.k4_pre_topc A B D C))) (let ((_let_3 (tptp.u1_struct_0 B))) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D _let_1 _let_3) (tptp.m2_relset_1 D _let_1 _let_3)) (=> (tptp.v5_orders_3 D A B) (or (and (not (and (tptp.r1_yellow_0 A C) (tptp.r1_yellow_0 B _let_2))) (not (and (tptp.v3_lattice3 A) (tptp.v4_orders_2 A) (tptp.v3_lattice3 B) (tptp.v4_orders_2 B)))) (tptp.r1_orders_2 B (tptp.k1_yellow_0 B _let_2) (tptp.k7_yellow_2 _let_1 B D (tptp.k1_yellow_0 A C)))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v4_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_orders_2 B) (tptp.v4_orders_2 B) (tptp.l1_orders_2 B)) (forall ((C $$unsorted)) (=> (and (not (tptp.v1_xboole_0 C)) (tptp.v1_waybel_0 C A) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.k4_pre_topc A B D C))) (let ((_let_3 (tptp.u1_struct_0 B))) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D _let_1 _let_3) (tptp.m2_relset_1 D _let_1 _let_3)) (=> (tptp.v5_orders_3 D A B) (or (and (not (and (tptp.r1_yellow_0 A C) (tptp.r1_yellow_0 B _let_2))) (not (and (tptp.v24_waybel_0 A) (tptp.v24_waybel_0 B)))) (tptp.r3_orders_2 B (tptp.k1_yellow_0 B _let_2) (tptp.k7_yellow_2 _let_1 B D (tptp.k1_yellow_0 A C)))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.l1_orders_2 B)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k4_pre_topc A B D C))) (let ((_let_2 (tptp.u1_struct_0 A))) (let ((_let_3 (tptp.u1_struct_0 B))) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D _let_2 _let_3) (tptp.m2_relset_1 D _let_2 _let_3)) (=> (tptp.v5_orders_3 D A B) (or (and (not (and (tptp.r2_yellow_0 A C) (tptp.r2_yellow_0 B _let_1))) (not (and (tptp.v3_lattice3 A) (tptp.v4_orders_2 A) (tptp.v3_lattice3 B) (tptp.v4_orders_2 B)))) (tptp.r1_orders_2 B (tptp.k7_yellow_2 _let_2 B D (tptp.k2_yellow_0 A C)) (tptp.k2_yellow_0 B _let_1))))))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v24_waybel_0 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.v24_waybel_0 B) (tptp.v1_lattice3 B) (tptp.v2_lattice3 B) (tptp.l1_orders_2 B)) (forall ((C $$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)) (forall ((D $$unsorted)) (=> (and (not (tptp.v3_struct_0 D)) (tptp.v8_waybel_0 D A) (tptp.l1_waybel_0 D A)) (=> (tptp.v5_orders_3 C A B) (tptp.v8_waybel_0 (tptp.k7_waybel_9 A B C D) B)))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v24_waybel_0 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.v24_waybel_0 B) (tptp.v1_lattice3 B) (tptp.v2_lattice3 B) (tptp.l1_orders_2 B)) (forall ((C $$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)) (=> (forall ((D $$unsorted)) (=> (and (not (tptp.v3_struct_0 D)) (tptp.v3_orders_2 D) (tptp.v7_waybel_0 D) (tptp.l1_waybel_0 D A)) (tptp.r3_orders_2 B (tptp.k7_yellow_2 (tptp.u1_struct_0 A) B C (tptp.k1_waybel11 A D)) (tptp.k1_waybel11 B (tptp.k7_waybel_9 A B C D))))) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v1_xboole_0 D)) (tptp.v1_waybel_0 D A) (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 _let_1))) (= (tptp.k1_yellow_0 B (tptp.k4_pre_topc A B C D)) (tptp.k7_yellow_2 _let_1 B C (tptp.k1_yellow_0 A D))))))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v4_waybel11 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_lattice3 A) (tptp.l1_waybel_9 A)) (forall ((B $$unsorted)) (=> (and (tptp.v2_pre_topc B) (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.v4_waybel11 B) (tptp.v1_lattice3 B) (tptp.v2_lattice3 B) (tptp.v3_lattice3 B) (tptp.l1_waybel_9 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)) (=> (and (not (tptp.v3_struct_0 D)) (tptp.v3_orders_2 D) (tptp.v7_waybel_0 D) (tptp.l1_waybel_0 D A)) (tptp.r3_orders_2 B (tptp.k7_yellow_2 (tptp.u1_struct_0 A) B C (tptp.k1_waybel11 A D)) (tptp.k1_waybel11 B (tptp.k7_waybel_9 A B C D)))))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v4_waybel11 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_lattice3 A) (tptp.l1_waybel_9 A)) (forall ((B $$unsorted)) (=> (and (tptp.v2_pre_topc B) (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.v4_waybel11 B) (tptp.v1_lattice3 B) (tptp.v2_lattice3 B) (tptp.v3_lattice3 B) (tptp.l1_waybel_9 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.m2_relset_1 C _let_2 _let_1)) (= (tptp.v5_pre_topc C A B) (tptp.v22_waybel_0 C A B)))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v3_waybel_3 A) (tptp.v4_waybel11 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_lattice3 A) (tptp.l1_waybel_9 A)) (forall ((B $$unsorted)) (=> (and (tptp.v2_pre_topc B) (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.v3_waybel_3 B) (tptp.v4_waybel11 B) (tptp.v1_lattice3 B) (tptp.v2_lattice3 B) (tptp.v3_lattice3 B) (tptp.l1_waybel_9 B)) (forall ((C $$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_subset_1 E (tptp.u1_struct_0 B)) (= (tptp.r1_waybel_3 B E (tptp.k7_yellow_2 (tptp.u1_struct_0 A) B C D)) (exists ((F $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (and (tptp.m1_subset_1 F _let_1) (tptp.r1_waybel_3 A F D) (tptp.r1_waybel_3 B E (tptp.k7_yellow_2 _let_1 B C F))))))))))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v4_waybel11 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_lattice3 A) (tptp.l1_waybel_9 A)) (forall ((B $$unsorted)) (=> (and (tptp.v2_pre_topc B) (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.v4_waybel11 B) (tptp.v1_lattice3 B) (tptp.v2_lattice3 B) (tptp.v3_lattice3 B) (tptp.l1_waybel_9 B)) (forall ((C $$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.v2_waybel_8 A) (tptp.v2_waybel_8 B)) (= (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_subset_1 E (tptp.u1_struct_0 B)) (=> (tptp.r2_hidden E (tptp.u1_struct_0 (tptp.k1_waybel_8 B))) (= (tptp.r3_orders_2 B E (tptp.k7_yellow_2 (tptp.u1_struct_0 A) B C D)) (exists ((F $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (and (tptp.m1_subset_1 F _let_1) (tptp.r2_hidden F (tptp.u1_struct_0 (tptp.k1_waybel_8 A))) (tptp.r3_orders_2 A F D) (tptp.r3_orders_2 B E (tptp.k7_yellow_2 _let_1 B C F))))))))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v24_waybel_0 A) (tptp.v4_waybel11 A) (tptp.l1_waybel_9 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_pre_topc B) (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.v24_waybel_0 B) (tptp.v4_waybel11 B) (tptp.l1_waybel_9 B)) (forall ((C $$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.v22_waybel_0 C A B) (tptp.v5_pre_topc C A B)))))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k1_waybel17 A B C))) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.m1_subset_1 B A) (tptp.m1_subset_1 C A)) (and (tptp.v1_funct_1 _let_1) (tptp.v1_funct_2 _let_1 tptp.k5_numbers A) (tptp.m2_relset_1 _let_1 tptp.k5_numbers A))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k7_yellow_1 A B))) (let ((_let_2 (tptp.k2_waybel17 A B))) (=> (and (tptp.v2_pre_topc A) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v24_waybel_0 A) (tptp.v4_waybel11 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.l1_waybel_9 A) (tptp.v2_pre_topc B) (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.v24_waybel_0 B) (tptp.v4_waybel11 B) (tptp.v1_lattice3 B) (tptp.v2_lattice3 B) (tptp.l1_waybel_9 B)) (and (tptp.v1_orders_2 _let_2) (tptp.v4_yellow_0 _let_2 _let_1) (tptp.m1_yellow_0 _let_2 _let_1)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k3_waybel17 A B C))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A) (tptp.m1_subset_1 B _let_2) (tptp.m1_subset_1 C _let_2)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v6_waybel_0 _let_1 A) (tptp.l1_waybel_0 _let_1 A)))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k4_waybel17 A B))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A) (not (tptp.v1_xboole_0 B)) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (and (tptp.v6_waybel_0 _let_1 A) (tptp.l1_waybel_0 _let_1 A))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_yellow_0 A) (tptp.v3_waybel_3 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.v1_yellow_0 B) (tptp.v3_waybel_3 B) (tptp.v1_lattice3 B) (tptp.v2_lattice3 B) (tptp.l1_orders_2 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.m2_relset_1 C _let_2 _let_1)) (=> (tptp.v22_waybel_0 C A B) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 D _let_1) (= (tptp.k7_yellow_2 _let_1 B C D) (tptp.k1_yellow_0 B (tptp.a_4_0_waybel17 A B C D))))))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.v1_yellow_0 B) (tptp.v24_waybel_0 B) (tptp.v1_lattice3 B) (tptp.v2_lattice3 B) (tptp.l1_orders_2 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.m2_relset_1 C _let_2 _let_1)) (=> (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 D _let_1) (= (tptp.k7_yellow_2 _let_1 B C D) (tptp.k1_yellow_0 B (tptp.a_4_1_waybel17 A B C D)))))) (tptp.v5_orders_3 C A B)))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_yellow_0 A) (tptp.v24_waybel_0 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.v1_yellow_0 B) (tptp.v3_waybel_3 B) (tptp.v1_lattice3 B) (tptp.v2_lattice3 B) (tptp.l1_orders_2 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.m2_relset_1 C _let_2 _let_1)) (=> (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 D _let_1) (= (tptp.k7_yellow_2 _let_1 B C D) (tptp.k1_yellow_0 B (tptp.a_4_2_waybel17 A B C D)))))) (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)) (= (tptp.r1_waybel_3 B E (tptp.k7_yellow_2 (tptp.u1_struct_0 A) B C D)) (exists ((F $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (and (tptp.m1_subset_1 F _let_1) (tptp.r1_waybel_3 A F D) (tptp.r1_waybel_3 B E (tptp.k7_yellow_2 _let_1 B C F))))))))))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.v1_lattice3 B) (tptp.v2_lattice3 B) (tptp.v3_lattice3 B) (tptp.l1_orders_2 B)) (forall ((C $$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)) (forall ((D $$unsorted)) (=> (and (not (tptp.v3_struct_0 D)) (tptp.v3_orders_2 D) (tptp.v7_waybel_0 D) (tptp.l1_waybel_0 D A)) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.u1_struct_0 D)) (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F (tptp.u1_struct_0 (tptp.k7_waybel_9 A B C D))) (=> (and (= F E) (tptp.v5_orders_3 C A B)) (tptp.r3_orders_2 B (tptp.k7_yellow_2 (tptp.u1_struct_0 A) B C (tptp.k2_yellow_0 A (tptp.a_3_0_waybel17 A D E))) (tptp.k2_yellow_0 B (tptp.a_5_0_waybel17 A B C D F)))))))))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v3_waybel_3 A) (tptp.v4_waybel11 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_lattice3 A) (tptp.l1_waybel_9 A)) (forall ((B $$unsorted)) (=> (and (tptp.v2_pre_topc B) (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.v3_waybel_3 B) (tptp.v4_waybel11 B) (tptp.v1_lattice3 B) (tptp.v2_lattice3 B) (tptp.v3_lattice3 B) (tptp.l1_waybel_9 B)) (forall ((C $$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 $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 D _let_1) (= (tptp.k7_yellow_2 _let_1 B C D) (tptp.k1_yellow_0 B (tptp.a_4_3_waybel17 A B C D))))))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.v1_lattice3 B) (tptp.v2_lattice3 B) (tptp.v3_lattice3 B) (tptp.l1_orders_2 B)) (forall ((C $$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)) (=> (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 D _let_1) (= (tptp.k7_yellow_2 _let_1 B C D) (tptp.k1_yellow_0 B (tptp.a_4_4_waybel17 A B C D)))))) (tptp.v5_orders_3 C A B)))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v4_waybel11 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_lattice3 A) (tptp.l1_waybel_9 A)) (forall ((B $$unsorted)) (=> (and (tptp.v2_pre_topc B) (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.v4_waybel11 B) (tptp.v1_lattice3 B) (tptp.v2_lattice3 B) (tptp.v3_lattice3 B) (tptp.l1_waybel_9 B)) (forall ((C $$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)) (=> (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 D _let_1) (= (tptp.k7_yellow_2 _let_1 B C D) (tptp.k1_yellow_0 B (tptp.a_4_5_waybel17 A B C D)))))) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 D _let_1) (= (tptp.k7_yellow_2 _let_1 B C D) (tptp.k1_yellow_0 B (tptp.a_4_6_waybel17 A B C D))))))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v4_waybel11 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_lattice3 A) (tptp.l1_waybel_9 A)) (forall ((B $$unsorted)) (=> (and (tptp.v2_pre_topc B) (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.v4_waybel11 B) (tptp.v1_lattice3 B) (tptp.v2_lattice3 B) (tptp.v3_lattice3 B) (tptp.l1_waybel_9 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.m2_relset_1 C _let_2 _let_1)) (=> (and (tptp.v2_waybel_8 A) (tptp.v2_waybel_8 B)) (= (tptp.v5_pre_topc C A B) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 D _let_1) (= (tptp.k7_yellow_2 _let_1 B C D) (tptp.k1_yellow_0 B (tptp.a_4_5_waybel17 A B C D)))))))))))))))) (=> (tptp.r1_tarski (tptp.u1_struct_0 tptp.f2_s1_waybel17) (tptp.k1_relat_1 tptp.f4_s1_waybel17)) (= (tptp.k9_relat_1 tptp.f4_s1_waybel17 tptp.a_0_0_waybel17) tptp.a_0_1_waybel17)) (=> (tptp.r1_tarski (tptp.u1_struct_0 tptp.f2_s2_waybel17) (tptp.k1_relat_1 tptp.f4_s2_waybel17)) (= (tptp.k9_relat_1 tptp.f4_s2_waybel17 tptp.a_0_2_waybel17) tptp.a_0_3_waybel17)) (=> (and (tptp.r1_tarski (tptp.u1_struct_0 tptp.f3_s3_waybel17) (tptp.k1_relat_1 tptp.f5_s3_waybel17)) (= (tptp.u1_struct_0 tptp.f1_s3_waybel17) (tptp.u1_struct_0 tptp.f2_s3_waybel17))) (= (tptp.k9_relat_1 tptp.f5_s3_waybel17 tptp.a_0_4_waybel17) tptp.a_0_5_waybel17)) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 C))) (=> (and (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.v1_yellow_0 B) (tptp.v3_waybel_3 B) (tptp.v1_lattice3 B) (tptp.v2_lattice3 B) (tptp.l1_orders_2 B) (tptp.v2_orders_2 C) (tptp.v3_orders_2 C) (tptp.v4_orders_2 C) (tptp.v1_yellow_0 C) (tptp.v3_waybel_3 C) (tptp.v1_lattice3 C) (tptp.v2_lattice3 C) (tptp.l1_orders_2 C) (tptp.v1_funct_1 D) (tptp.v1_funct_2 D _let_1 _let_2) (tptp.m2_relset_1 D _let_1 _let_2) (tptp.m1_subset_1 E _let_1)) (= (tptp.r2_hidden A (tptp.a_4_0_waybel17 B C D E)) (exists ((F $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (and (tptp.m1_subset_1 F _let_1) (= A (tptp.k7_yellow_2 _let_1 C D F)) (tptp.r1_waybel_3 B F E))))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 C))) (=> (and (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.v1_lattice3 B) (tptp.v2_lattice3 B) (tptp.l1_orders_2 B) (tptp.v2_orders_2 C) (tptp.v3_orders_2 C) (tptp.v4_orders_2 C) (tptp.v1_yellow_0 C) (tptp.v24_waybel_0 C) (tptp.v1_lattice3 C) (tptp.v2_lattice3 C) (tptp.l1_orders_2 C) (tptp.v1_funct_1 D) (tptp.v1_funct_2 D _let_1 _let_2) (tptp.m2_relset_1 D _let_1 _let_2) (tptp.m1_subset_1 E _let_1)) (= (tptp.r2_hidden A (tptp.a_4_1_waybel17 B C D E)) (exists ((F $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (and (tptp.m1_subset_1 F _let_1) (= A (tptp.k7_yellow_2 _let_1 C D F)) (tptp.r1_waybel_3 B F E))))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 C))) (=> (and (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.v1_yellow_0 B) (tptp.v24_waybel_0 B) (tptp.v1_lattice3 B) (tptp.v2_lattice3 B) (tptp.l1_orders_2 B) (tptp.v2_orders_2 C) (tptp.v3_orders_2 C) (tptp.v4_orders_2 C) (tptp.v1_yellow_0 C) (tptp.v3_waybel_3 C) (tptp.v1_lattice3 C) (tptp.v2_lattice3 C) (tptp.l1_orders_2 C) (tptp.v1_funct_1 D) (tptp.v1_funct_2 D _let_1 _let_2) (tptp.m2_relset_1 D _let_1 _let_2) (tptp.m1_subset_1 E _let_1)) (= (tptp.r2_hidden A (tptp.a_4_2_waybel17 B C D E)) (exists ((F $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (and (tptp.m1_subset_1 F _let_1) (= A (tptp.k7_yellow_2 _let_1 C D F)) (tptp.r1_waybel_3 B F E))))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.v1_lattice3 B) (tptp.v2_lattice3 B) (tptp.v3_lattice3 B) (tptp.l1_orders_2 B) (not (tptp.v3_struct_0 C)) (tptp.v3_orders_2 C) (tptp.v7_waybel_0 C) (tptp.l1_waybel_0 C B) (tptp.m1_subset_1 D (tptp.u1_struct_0 C))) (= (tptp.r2_hidden A (tptp.a_3_0_waybel17 B C D)) (exists ((E $$unsorted)) (and (tptp.m1_subset_1 E (tptp.u1_struct_0 C)) (= A (tptp.k3_waybel_0 B C E)) (tptp.r1_orders_2 C D E)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 C))) (let ((_let_2 (tptp.u1_struct_0 B))) (=> (and (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.v1_lattice3 B) (tptp.v2_lattice3 B) (tptp.v3_lattice3 B) (tptp.l1_orders_2 B) (tptp.v2_orders_2 C) (tptp.v3_orders_2 C) (tptp.v4_orders_2 C) (tptp.v1_lattice3 C) (tptp.v2_lattice3 C) (tptp.v3_lattice3 C) (tptp.l1_orders_2 C) (tptp.v1_funct_1 D) (tptp.v1_funct_2 D _let_2 _let_1) (tptp.m2_relset_1 D _let_2 _let_1) (not (tptp.v3_struct_0 E)) (tptp.v3_orders_2 E) (tptp.v7_waybel_0 E) (tptp.l1_waybel_0 E B) (tptp.m1_subset_1 F (tptp.u1_struct_0 (tptp.k7_waybel_9 B C D E)))) (= (tptp.r2_hidden A (tptp.a_5_0_waybel17 B C D E F)) (exists ((G $$unsorted)) (let ((_let_1 (tptp.k7_waybel_9 B C D E))) (and (tptp.m1_subset_1 G (tptp.u1_struct_0 _let_1)) (= A (tptp.k3_waybel_0 C _let_1 G)) (tptp.r1_orders_2 _let_1 F G))))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 C))) (=> (and (tptp.v2_pre_topc B) (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.v3_waybel_3 B) (tptp.v4_waybel11 B) (tptp.v1_lattice3 B) (tptp.v2_lattice3 B) (tptp.v3_lattice3 B) (tptp.l1_waybel_9 B) (tptp.v2_pre_topc C) (tptp.v2_orders_2 C) (tptp.v3_orders_2 C) (tptp.v4_orders_2 C) (tptp.v3_waybel_3 C) (tptp.v4_waybel11 C) (tptp.v1_lattice3 C) (tptp.v2_lattice3 C) (tptp.v3_lattice3 C) (tptp.l1_waybel_9 C) (tptp.v1_funct_1 D) (tptp.v1_funct_2 D _let_1 _let_2) (tptp.m2_relset_1 D _let_1 _let_2) (tptp.m1_subset_1 E _let_1)) (= (tptp.r2_hidden A (tptp.a_4_3_waybel17 B C D E)) (exists ((F $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (and (tptp.m1_subset_1 F _let_1) (= A (tptp.k7_yellow_2 _let_1 C D F)) (tptp.r1_waybel_3 B F E))))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 C))) (=> (and (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.v1_lattice3 B) (tptp.v2_lattice3 B) (tptp.l1_orders_2 B) (tptp.v2_orders_2 C) (tptp.v3_orders_2 C) (tptp.v4_orders_2 C) (tptp.v1_lattice3 C) (tptp.v2_lattice3 C) (tptp.v3_lattice3 C) (tptp.l1_orders_2 C) (tptp.v1_funct_1 D) (tptp.v1_funct_2 D _let_1 _let_2) (tptp.m2_relset_1 D _let_1 _let_2) (tptp.m1_subset_1 E _let_1)) (= (tptp.r2_hidden A (tptp.a_4_4_waybel17 B C D E)) (exists ((F $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (and (tptp.m1_subset_1 F _let_1) (= A (tptp.k7_yellow_2 _let_1 C D F)) (tptp.r3_orders_2 B F E) (tptp.v1_waybel_3 F B))))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 C))) (=> (and (tptp.v2_pre_topc B) (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.v4_waybel11 B) (tptp.v1_lattice3 B) (tptp.v2_lattice3 B) (tptp.v3_lattice3 B) (tptp.l1_waybel_9 B) (tptp.v2_pre_topc C) (tptp.v2_orders_2 C) (tptp.v3_orders_2 C) (tptp.v4_orders_2 C) (tptp.v4_waybel11 C) (tptp.v1_lattice3 C) (tptp.v2_lattice3 C) (tptp.v3_lattice3 C) (tptp.l1_waybel_9 C) (tptp.v1_funct_1 D) (tptp.v1_funct_2 D _let_1 _let_2) (tptp.m2_relset_1 D _let_1 _let_2) (tptp.m1_subset_1 E _let_1)) (= (tptp.r2_hidden A (tptp.a_4_5_waybel17 B C D E)) (exists ((F $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (and (tptp.m1_subset_1 F _let_1) (= A (tptp.k7_yellow_2 _let_1 C D F)) (tptp.r3_orders_2 B F E) (tptp.v1_waybel_3 F B))))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 C))) (=> (and (tptp.v2_pre_topc B) (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.v4_waybel11 B) (tptp.v1_lattice3 B) (tptp.v2_lattice3 B) (tptp.v3_lattice3 B) (tptp.l1_waybel_9 B) (tptp.v2_pre_topc C) (tptp.v2_orders_2 C) (tptp.v3_orders_2 C) (tptp.v4_orders_2 C) (tptp.v4_waybel11 C) (tptp.v1_lattice3 C) (tptp.v2_lattice3 C) (tptp.v3_lattice3 C) (tptp.l1_waybel_9 C) (tptp.v1_funct_1 D) (tptp.v1_funct_2 D _let_1 _let_2) (tptp.m2_relset_1 D _let_1 _let_2) (tptp.m1_subset_1 E _let_1)) (= (tptp.r2_hidden A (tptp.a_4_6_waybel17 B C D E)) (exists ((F $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (and (tptp.m1_subset_1 F _let_1) (= A (tptp.k7_yellow_2 _let_1 C D F)) (tptp.r1_waybel_3 B F E))))))))) (forall ((A $$unsorted)) (= (tptp.r2_hidden A tptp.a_0_0_waybel17) (exists ((B $$unsorted)) (and (tptp.m1_subset_1 B (tptp.u1_struct_0 tptp.f1_s1_waybel17)) (= A (tptp.f3_s1_waybel17 B)) (tptp.p1_s1_waybel17 B))))) (forall ((A $$unsorted)) (= (tptp.r2_hidden A tptp.a_0_1_waybel17) (exists ((B $$unsorted)) (and (tptp.m1_subset_1 B (tptp.u1_struct_0 tptp.f1_s1_waybel17)) (= A (tptp.k1_funct_1 tptp.f4_s1_waybel17 (tptp.f3_s1_waybel17 B))) (tptp.p1_s1_waybel17 B))))) (forall ((A $$unsorted)) (= (tptp.r2_hidden A tptp.a_0_2_waybel17) (exists ((B $$unsorted)) (and (tptp.m1_subset_1 B (tptp.u1_struct_0 tptp.f1_s2_waybel17)) (= A (tptp.f3_s2_waybel17 B)) (tptp.p1_s2_waybel17 B))))) (forall ((A $$unsorted)) (= (tptp.r2_hidden A tptp.a_0_3_waybel17) (exists ((B $$unsorted)) (and (tptp.m1_subset_1 B (tptp.u1_struct_0 tptp.f1_s2_waybel17)) (= A (tptp.k1_funct_1 tptp.f4_s2_waybel17 (tptp.f3_s2_waybel17 B))) (tptp.p1_s2_waybel17 B))))) (forall ((A $$unsorted)) (= (tptp.r2_hidden A tptp.a_0_4_waybel17) (exists ((B $$unsorted)) (and (tptp.m1_subset_1 B (tptp.u1_struct_0 tptp.f1_s3_waybel17)) (= A (tptp.f4_s3_waybel17 B)) (tptp.p1_s3_waybel17 B))))) (forall ((A $$unsorted)) (= (tptp.r2_hidden A tptp.a_0_5_waybel17) (exists ((B $$unsorted)) (and (tptp.m1_subset_1 B (tptp.u1_struct_0 tptp.f2_s3_waybel17)) (= A (tptp.k1_funct_1 tptp.f5_s3_waybel17 (tptp.f4_s3_waybel17 B))) (tptp.p1_s3_waybel17 B))))) (exists ((A $$unsorted)) (and (tptp.l1_waybel_9 A) (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_yellow_0 A) (tptp.v2_yellow_0 A) (tptp.v3_yellow_0 A) (tptp.v16_waybel_0 A) (tptp.v24_waybel_0 A) (tptp.v25_waybel_0 A) (tptp.v1_waybel_9 A) (tptp.v1_tdlat_3 A) (tptp.v2_tdlat_3 A) (tptp.v3_tdlat_3 A) (tptp.v4_tdlat_3 A) (tptp.v5_tdlat_3 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_lattice3 A) (tptp.v6_group_1 A) (tptp.v3_realset2 A))) (exists ((A $$unsorted)) (and (tptp.l1_waybel_9 A) (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_yellow_0 A) (tptp.v2_yellow_0 A) (tptp.v3_yellow_0 A) (tptp.v16_waybel_0 A) (tptp.v24_waybel_0 A) (tptp.v25_waybel_0 A) (tptp.v1_waybel_9 A) (tptp.v1_tdlat_3 A) (tptp.v2_tdlat_3 A) (tptp.v3_tdlat_3 A) (tptp.v4_tdlat_3 A) (tptp.v5_tdlat_3 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_lattice3 A) (tptp.v3_realset2 A))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A) (not (tptp.v3_struct_0 B)) (tptp.v2_orders_2 B) (tptp.v4_orders_2 B) (tptp.v2_yellow_0 B) (tptp.l1_orders_2 B)) (exists ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (and (tptp.m1_relset_1 C _let_2 _let_1) (tptp.v1_relat_1 C) (tptp.v1_funct_1 C) (not (tptp.v1_xboole_0 C)) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.v17_waybel_0 C A B) (tptp.v19_waybel_0 C A B) (tptp.v21_waybel_0 C A B) (tptp.v1_partfun1 C _let_2 _let_1))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A) (not (tptp.v3_struct_0 B)) (tptp.v2_orders_2 B) (tptp.v4_orders_2 B) (tptp.v1_yellow_0 B) (tptp.l1_orders_2 B)) (exists ((C $$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) (tptp.v1_relat_1 C) (tptp.v1_funct_1 C) (not (tptp.v1_xboole_0 C)) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.v18_waybel_0 C A B) (tptp.v20_waybel_0 C A B) (tptp.v22_waybel_0 C A B) (tptp.v1_partfun1 C _let_2 _let_1))))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k1_yellow_9 A B))) (let ((_let_2 (tptp.u1_struct_0 A))) (let ((_let_3 (tptp.u1_struct_0 B))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A) (not (tptp.v3_struct_0 B)) (tptp.m1_yellow_0 B A)) (and (tptp.v1_relat_1 _let_1) (tptp.v1_funct_1 _let_1) (not (tptp.v1_xboole_0 _let_1)) (tptp.v1_funct_2 _let_1 _let_3 _let_2) (tptp.v1_partfun1 _let_1 _let_3 _let_2) (tptp.v5_orders_3 _let_1 B A))))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k2_yellow_9 A B))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.l1_orders_2 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.v2_orders_2 _let_1) (tptp.v6_waybel_0 _let_1 A))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k3_yellow_9 A B))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.l1_orders_2 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.v2_orders_2 _let_1) (tptp.v6_waybel_0 _let_1 A))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k2_yellow_9 A B))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_orders_2 A) (tptp.l1_orders_2 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.v3_orders_2 _let_1) (tptp.v6_waybel_0 _let_1 A))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k3_yellow_9 A B))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_orders_2 A) (tptp.l1_orders_2 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.v3_orders_2 _let_1) (tptp.v6_waybel_0 _let_1 A))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k5_yellow_0 A B))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.l1_orders_2 A) (tptp.v1_waybel_0 B A) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (and (tptp.v1_orders_2 _let_1) (tptp.v2_orders_2 _let_1) (tptp.v4_yellow_0 _let_1 A) (tptp.v7_waybel_0 _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k2_yellow_9 A B))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.l1_orders_2 A) (not (tptp.v1_xboole_0 B)) (tptp.v1_waybel_0 B A) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v2_orders_2 _let_1) (tptp.v6_waybel_0 _let_1 A) (tptp.v7_waybel_0 _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k5_yellow_0 A B))) (let ((_let_2 (tptp.k4_waybel_9 _let_1))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.l1_orders_2 A) (not (tptp.v1_xboole_0 B)) (tptp.v2_waybel_0 B A) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (and (not (tptp.v3_struct_0 _let_2)) (tptp.v2_orders_2 _let_2) (tptp.v6_waybel_0 _let_2 _let_1) (tptp.v7_waybel_0 _let_2) (tptp.v9_waybel_0 _let_2 _let_1) (tptp.v11_waybel_0 _let_2 _let_1)))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k3_yellow_9 A B))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.l1_orders_2 A) (not (tptp.v1_xboole_0 B)) (tptp.v2_waybel_0 B A) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v2_orders_2 _let_1) (tptp.v6_waybel_0 _let_1 A) (tptp.v7_waybel_0 _let_1))))) (forall ((A $$unsorted)) (=> (tptp.l1_orders_2 A) (exists ((B $$unsorted)) (and (tptp.m1_yellow_9 B A) (tptp.v2_pre_topc B) (tptp.v1_waybel_9 B) (tptp.v1_tdlat_3 B) (tptp.v3_tdlat_3 B))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_yellow_9 B A) (not (tptp.v3_struct_0 B)))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_yellow_9 B A) (tptp.v2_orders_2 B))))) (forall ((A $$unsorted)) (=> (and (tptp.v3_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_yellow_9 B A) (tptp.v3_orders_2 B))))) (forall ((A $$unsorted)) (=> (and (tptp.v4_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_yellow_9 B A) (tptp.v4_orders_2 B))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_yellow_9 B A) (and (not (tptp.v3_struct_0 B)) (tptp.v1_yellow_0 B) (tptp.v2_yellow_0 B) (tptp.v3_yellow_0 B) (tptp.v1_lattice3 B) (tptp.v2_lattice3 B) (tptp.v3_lattice3 B)))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_lattice3 A) (tptp.l1_orders_2 A)) (exists ((B $$unsorted)) (and (tptp.m1_yellow_9 B A) (not (tptp.v3_struct_0 B)) (tptp.v2_pre_topc B) (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.v1_yellow_0 B) (tptp.v2_yellow_0 B) (tptp.v3_yellow_0 B) (tptp.v24_waybel_0 B) (tptp.v25_waybel_0 B) (tptp.v1_waybel_9 B) (tptp.v4_waybel11 B) (tptp.v1_lattice3 B) (tptp.v2_lattice3 B) (tptp.v3_lattice3 B))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_yellow_9 B A) (=> (tptp.v4_waybel11 B) (and (not (tptp.v3_struct_0 B)) (tptp.v2_pre_topc B) (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.v1_yellow_0 B) (tptp.v2_yellow_0 B) (tptp.v3_yellow_0 B) (tptp.v24_waybel_0 B) (tptp.v25_waybel_0 B) (tptp.v1_lattice3 B) (tptp.v2_lattice3 B) (tptp.v3_lattice3 B))))))) (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (exists ((B $$unsorted)) (and (tptp.m2_yellow_9 B A) (tptp.v1_pre_topc B) (tptp.v2_pre_topc B) (tptp.v1_tdlat_3 B) (tptp.v3_tdlat_3 B))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_pre_topc A) (tptp.l1_pre_topc B)) (forall ((C $$unsorted)) (=> (tptp.m3_yellow_9 C A B) (not (tptp.v3_struct_0 C)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_pre_topc A) (tptp.l1_pre_topc B)) (forall ((C $$unsorted)) (=> (tptp.m3_yellow_9 C B A) (not (tptp.v3_struct_0 C)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 C _let_1) (= (tptp.r2_hidden C (tptp.k3_subset_1 _let_1 (tptp.k7_waybel_0 A B))) (not (tptp.r1_orders_2 A B C)))))))))) (forall ((A $$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)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 _let_1)) (= (tptp.k3_subset_1 (tptp.u1_struct_0 A) (tptp.k5_pre_topc A B C D)) (tptp.k5_pre_topc A B C (tptp.k3_subset_1 _let_1 D)))))))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_struct_0 A) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (=> (tptp.l1_struct_0 B) (=> (tptp.r1_tarski _let_1 (tptp.u1_struct_0 A)) (= (tptp.k1_yellow_9 A B) (tptp.k6_relat_1 _let_1)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k5_yellow_0 A B))) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (= (tptp.k2_yellow_9 A B) (tptp.k7_waybel_9 _let_1 A (tptp.k1_yellow_9 A _let_1) (tptp.k3_waybel_9 _let_1)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k5_yellow_0 A B))) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (= (tptp.k3_yellow_9 A B) (tptp.k7_waybel_9 _let_1 A (tptp.k1_yellow_9 A _let_1) (tptp.k4_waybel_9 _let_1)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k2_yellow_9 A B))) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (and (= (tptp.u1_struct_0 _let_1) B) (tptp.v4_yellow_0 _let_1 A) (tptp.m1_yellow_0 _let_1 A) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k2_yellow_9 A B))) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 _let_1)) (= (tptp.k3_waybel_0 A _let_1 C) C)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k7_lattice3 A))) (let ((_let_2 (tptp.k3_yellow_9 A B))) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (and (= (tptp.u1_struct_0 _let_2) B) (tptp.v4_yellow_0 _let_2 _let_1) (tptp.m1_yellow_0 _let_2 _let_1) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k3_yellow_9 A B))) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 _let_1)) (= (tptp.k3_waybel_0 A _let_1 C) C))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (=> (tptp.v3_struct_0 A) (= (tptp.u1_pre_topc A) (tptp.k1_tarski tptp.k1_xboole_0))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.v3_realset2 A) (tptp.l1_pre_topc A)) (and (= (tptp.u1_pre_topc A) (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k1_struct_0 A B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 B _let_2) (and (= _let_2 _let_1) (= (tptp.u1_pre_topc A) (tptp.k2_tarski tptp.k1_xboole_0 _let_1)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.v3_realset2 A) (tptp.l1_pre_topc A)) (and (tptp.m1_cantor_1 (tptp.k1_tarski (tptp.u1_struct_0 A)) A) (tptp.m2_cantor_1 tptp.k1_xboole_0 A) (tptp.m2_cantor_1 (tptp.k1_tarski tptp.k1_xboole_0) A)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 A))) (=> (= C (tptp.k1_tarski B)) (and (= (tptp.k2_cantor_1 A C) (tptp.k2_tarski B A)) (= (tptp.k1_cantor_1 A C) (tptp.k2_tarski B tptp.k1_xboole_0)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 A))) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k1_tarski A))) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 A))) (=> (or (= B (tptp.k2_xboole_0 C _let_1)) (= C (tptp.k4_xboole_0 B _let_1))) (= (tptp.k8_setfam_1 A B) (tptp.k8_setfam_1 A C)))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 A))) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k1_tarski A))) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 A))) (=> (or (= B (tptp.k2_xboole_0 C _let_1)) (= C (tptp.k4_xboole_0 B _let_1))) (= (tptp.k2_cantor_1 A B) (tptp.k2_cantor_1 A C)))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 A))) (=> (tptp.r2_hidden A B) (forall ((C $$unsorted)) (= (tptp.r2_hidden C (tptp.k2_cantor_1 A B)) (exists ((D $$unsorted)) (and (not (tptp.v1_xboole_0 D)) (tptp.v1_finset_1 D) (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 A))) (tptp.r1_tarski D B) (= C (tptp.k8_setfam_1 A D))))))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k1_cantor_1 A B))) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 A))) (= (tptp.k1_cantor_1 A _let_1) _let_1)))) (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.k1_cantor_1 A B) (tptp.k1_tarski tptp.k1_xboole_0)))) (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.k2_cantor_1 A B) (tptp.k1_tarski A)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 A))) (=> (= B (tptp.k2_tarski tptp.k1_xboole_0 A)) (and (= (tptp.k1_cantor_1 A B) B) (= (tptp.k2_cantor_1 A B) B))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 A))) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k1_cantor_1 B D))) (let ((_let_2 (tptp.k1_cantor_1 A C))) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 B))) (and (=> (tptp.r1_tarski C D) (tptp.r1_tarski _let_2 _let_1)) (=> (= C D) (= _let_2 _let_1))))))))) (forall ((A $$unsorted) (B $$unsorted) (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 (tptp.k1_zfmisc_1 B))) (=> (and (= C D) (tptp.r2_hidden A C) (tptp.r1_tarski A B)) (= (tptp.k2_cantor_1 B D) (tptp.k2_xboole_0 (tptp.k1_tarski B) (tptp.k2_cantor_1 A C)))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 A))) (= (tptp.k1_cantor_1 A (tptp.k2_cantor_1 A (tptp.k1_cantor_1 A B))) (tptp.k1_cantor_1 A (tptp.k2_cantor_1 A 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 (tptp.k1_zfmisc_1 _let_1))) (= (= (tptp.u1_pre_topc A) (tptp.k1_cantor_1 _let_1 B)) (tptp.m1_cantor_1 B A))))))) (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))) (= (tptp.m2_cantor_1 B A) (tptp.m1_cantor_1 (tptp.k2_cantor_1 _let_1 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)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 _let_1))) (=> (tptp.m2_cantor_1 (tptp.k1_cantor_1 _let_1 B) A) (tptp.m2_cantor_1 B A))))))) (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 $$unsorted)) (=> (tptp.m1_cantor_1 C A) (=> (and (= (tptp.u1_struct_0 A) (tptp.u1_struct_0 B)) (tptp.m1_cantor_1 C B)) (= (tptp.u1_pre_topc A) (tptp.u1_pre_topc B))))))))) (forall ((A $$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.m2_cantor_1 C A) (=> (and (= (tptp.u1_struct_0 A) (tptp.u1_struct_0 B)) (tptp.m2_cantor_1 C B)) (= (tptp.u1_pre_topc A) (tptp.u1_pre_topc B))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_cantor_1 B A) (and (tptp.v1_tops_2 B A) (tptp.m2_cantor_1 B A)))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m2_cantor_1 B A) (tptp.v1_tops_2 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.m2_cantor_1 B A) (tptp.m2_cantor_1 (tptp.k2_xboole_0 B (tptp.k1_tarski (tptp.u1_struct_0 A))) A))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_cantor_1 B A) (tptp.m1_cantor_1 (tptp.k2_xboole_0 B (tptp.k1_tarski (tptp.u1_struct_0 A))) A))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_cantor_1 B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (tptp.v3_pre_topc C A) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (not (and (tptp.r2_hidden D C) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (not (and (tptp.r2_hidden E B) (tptp.r2_hidden D E) (tptp.r1_tarski E C)))))))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (=> (and (tptp.r1_tarski B (tptp.u1_pre_topc A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (tptp.v3_pre_topc C A) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (not (and (tptp.r2_hidden D C) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (not (and (tptp.r2_hidden E B) (tptp.r2_hidden D E) (tptp.r1_tarski E C))))))))))))) (tptp.m1_cantor_1 B A)))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_pre_topc B) (tptp.l1_pre_topc B)) (forall ((C $$unsorted)) (=> (tptp.m1_cantor_1 C B) (forall ((D $$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.m2_relset_1 D _let_2 _let_1)) (= (tptp.v5_pre_topc D A B) (forall ((E $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (=> (tptp.m1_subset_1 E (tptp.k1_zfmisc_1 _let_1)) (=> (tptp.r2_hidden E C) (tptp.v4_pre_topc (tptp.k5_pre_topc A B D (tptp.k3_subset_1 _let_1 E)) A)))))))))))))))) (forall ((A $$unsorted)) (=> (and (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_cantor_1 C B) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D _let_2 _let_1) (tptp.m2_relset_1 D _let_2 _let_1)) (= (tptp.v5_pre_topc D A B) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B))) (=> (tptp.r2_hidden E C) (tptp.v3_pre_topc (tptp.k5_pre_topc A B D E) A))))))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_pre_topc B) (tptp.l1_pre_topc B)) (forall ((C $$unsorted)) (=> (tptp.m2_cantor_1 C B) (forall ((D $$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.m2_relset_1 D _let_2 _let_1)) (= (tptp.v5_pre_topc D A B) (forall ((E $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (=> (tptp.m1_subset_1 E (tptp.k1_zfmisc_1 _let_1)) (=> (tptp.r2_hidden E C) (tptp.v4_pre_topc (tptp.k5_pre_topc A B D (tptp.k3_subset_1 _let_1 E)) A)))))))))))))))) (forall ((A $$unsorted)) (=> (and (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.m2_cantor_1 C B) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D _let_2 _let_1) (tptp.m2_relset_1 D _let_2 _let_1)) (= (tptp.v5_pre_topc D A B) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B))) (=> (tptp.r2_hidden E C) (tptp.v3_pre_topc (tptp.k5_pre_topc A B D E) 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 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((D $$unsorted)) (=> (tptp.m1_cantor_1 D A) (=> (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (not (and (tptp.r2_hidden E D) (tptp.r2_hidden B E) (tptp.r1_xboole_0 E C))))) (tptp.r2_hidden B (tptp.k6_pre_topc A C))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((D $$unsorted)) (=> (tptp.m2_cantor_1 D A) (=> (forall ((E $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.k8_setfam_1 _let_1 E))) (=> (and (tptp.v1_finset_1 E) (tptp.m1_subset_1 E (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 _let_1)))) (not (and (tptp.r1_tarski E D) (tptp.r2_hidden B _let_2) (tptp.r1_xboole_0 _let_2 C))))))) (tptp.r2_hidden B (tptp.k6_pre_topc 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.m2_cantor_1 B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (and (not (tptp.v3_struct_0 D)) (tptp.v3_orders_2 D) (tptp.v7_waybel_0 D) (tptp.l1_waybel_0 D A)) (=> (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (and (tptp.r2_hidden E B) (tptp.r2_hidden C E)) (tptp.r1_waybel_0 A D E)))) (forall ((E $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 E (tptp.k1_zfmisc_1 _let_1)) (=> (tptp.r1_tarski (tptp.k5_relset_1 (tptp.u1_struct_0 D) _let_1 (tptp.k2_waybel_0 A D)) E) (tptp.r2_hidden C (tptp.k6_pre_topc A E))))))))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_orders_2 A) (forall ((B $$unsorted)) (=> (tptp.l1_waybel_9 B) (= (tptp.m1_yellow_9 B A) (= (tptp.g1_orders_2 (tptp.u1_struct_0 B) (tptp.u1_orders_2 B)) (tptp.g1_orders_2 (tptp.u1_struct_0 A) (tptp.u1_orders_2 A)))))))) (forall ((A $$unsorted)) (=> (tptp.l1_waybel_9 A) (tptp.m1_yellow_9 A A))) (forall ((A $$unsorted)) (=> (tptp.l1_waybel_9 A) (forall ((B $$unsorted)) (=> (tptp.m1_yellow_9 B A) (tptp.m1_yellow_9 A B))))) (forall ((A $$unsorted)) (=> (tptp.l1_orders_2 A) (forall ((B $$unsorted)) (=> (tptp.m1_yellow_9 B A) (forall ((C $$unsorted)) (=> (tptp.m1_yellow_9 C B) (tptp.m1_yellow_9 C A))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v4_orders_2 A) (tptp.v24_waybel_0 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_orders_2 B) (tptp.l1_orders_2 B)) (=> (= (tptp.g1_orders_2 (tptp.u1_struct_0 A) (tptp.u1_orders_2 A)) (tptp.g1_orders_2 (tptp.u1_struct_0 B) (tptp.u1_orders_2 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 (= C D) (tptp.v1_waybel11 C A)) (tptp.v1_waybel11 D B))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_yellow_9 B A) (=> (= (tptp.u1_pre_topc B) (tptp.k5_waybel11 A)) (tptp.v2_pre_topc B)))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_yellow_9 B A) (=> (= (tptp.u1_pre_topc B) (tptp.k5_waybel11 A)) (tptp.v4_waybel11 B)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v4_waybel11 A) (tptp.v3_lattice3 A) (tptp.l1_waybel_9 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.v4_waybel11 B) (tptp.v3_lattice3 B) (tptp.l1_waybel_9 B)) (=> (= (tptp.g1_orders_2 (tptp.u1_struct_0 A) (tptp.u1_orders_2 A)) (tptp.g1_orders_2 (tptp.u1_struct_0 B) (tptp.u1_orders_2 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 (= C D) (tptp.v3_pre_topc C A)) (tptp.v3_pre_topc D B))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (tptp.v4_waybel11 B) (tptp.m1_yellow_9 B A)) (= (tptp.u1_pre_topc B) (tptp.k5_waybel11 A)))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.v1_lattice3 B) (tptp.v2_lattice3 B) (tptp.v3_lattice3 B) (tptp.l1_orders_2 B)) (=> (= (tptp.g1_orders_2 (tptp.u1_struct_0 A) (tptp.u1_orders_2 A)) (tptp.g1_orders_2 (tptp.u1_struct_0 B) (tptp.u1_orders_2 B))) (= (tptp.k5_waybel11 A) (tptp.k5_waybel11 B))))))) (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (forall ((B $$unsorted)) (=> (and (tptp.v2_pre_topc B) (tptp.l1_pre_topc B)) (= (tptp.m2_yellow_9 B A) (and (= (tptp.u1_struct_0 A) (tptp.u1_struct_0 B)) (tptp.r1_tarski (tptp.u1_pre_topc A) (tptp.u1_pre_topc B)))))))) (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (exists ((B $$unsorted)) (and (tptp.m2_yellow_9 B A) (tptp.v1_pre_topc B) (tptp.m2_cantor_1 (tptp.u1_pre_topc A) B))))) (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (forall ((B $$unsorted)) (=> (tptp.l1_pre_topc B) (forall ((C $$unsorted)) (=> (and (tptp.v2_pre_topc C) (tptp.l1_pre_topc C)) (= (tptp.m3_yellow_9 C A B) (and (= (tptp.u1_struct_0 C) (tptp.k2_xboole_0 (tptp.u1_struct_0 A) (tptp.u1_struct_0 B))) (tptp.m2_cantor_1 (tptp.k2_xboole_0 (tptp.u1_pre_topc A) (tptp.u1_pre_topc B)) C))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (forall ((B $$unsorted)) (=> (tptp.l1_pre_topc B) (forall ((C $$unsorted)) (=> (tptp.m3_yellow_9 C A B) (forall ((D $$unsorted)) (=> (tptp.m3_yellow_9 D A B) (= (tptp.g1_pre_topc (tptp.u1_struct_0 C) (tptp.u1_pre_topc C)) (tptp.g1_pre_topc (tptp.u1_struct_0 D) (tptp.u1_pre_topc D))))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (forall ((B $$unsorted)) (=> (tptp.l1_pre_topc B) (forall ((C $$unsorted)) (=> (tptp.m3_yellow_9 C A B) (tptp.m3_yellow_9 C B A))))))) (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (forall ((B $$unsorted)) (=> (tptp.l1_pre_topc B) (forall ((C $$unsorted)) (=> (tptp.m3_yellow_9 C A B) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 C))) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 _let_1))) (=> (= D (tptp.k2_xboole_0 (tptp.u1_pre_topc A) (tptp.u1_pre_topc B))) (= (tptp.u1_pre_topc C) (tptp.k1_cantor_1 _let_1 (tptp.k2_cantor_1 _let_1 D))))))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (forall ((B $$unsorted)) (=> (tptp.l1_pre_topc B) (=> (= (tptp.u1_struct_0 A) (tptp.u1_struct_0 B)) (forall ((C $$unsorted)) (=> (tptp.m3_yellow_9 C A B) (and (tptp.m2_yellow_9 C A) (tptp.m2_yellow_9 C B))))))))) (forall ((A $$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)) (=> (tptp.m3_yellow_9 C A B) (forall ((D $$unsorted)) (=> (tptp.m2_cantor_1 D A) (forall ((E $$unsorted)) (=> (tptp.m2_cantor_1 E B) (tptp.m2_cantor_1 (tptp.k2_xboole_0 (tptp.k2_xboole_0 D E) (tptp.k2_tarski (tptp.u1_struct_0 A) (tptp.u1_struct_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)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_pre_topc B) (tptp.l1_pre_topc B)) (forall ((C $$unsorted)) (=> (tptp.m1_cantor_1 C A) (forall ((D $$unsorted)) (=> (tptp.m1_cantor_1 D B) (forall ((E $$unsorted)) (=> (tptp.m3_yellow_9 E A B) (tptp.m1_cantor_1 (tptp.k2_xboole_0 (tptp.k2_xboole_0 C D) (tptp.k3_setfam_1 C D)) E))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_pre_topc B) (tptp.l1_pre_topc B)) (=> (= (tptp.u1_struct_0 A) (tptp.u1_struct_0 B)) (forall ((C $$unsorted)) (=> (tptp.m3_yellow_9 C A B) (tptp.m1_cantor_1 (tptp.k3_setfam_1 (tptp.u1_pre_topc A) (tptp.u1_pre_topc B)) C)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (tptp.v2_pre_topc B) (tptp.m1_yellow_9 B A)) (forall ((C $$unsorted)) (=> (and (tptp.v2_pre_topc C) (tptp.m1_yellow_9 C A)) (forall ((D $$unsorted)) (=> (tptp.m3_yellow_9 D B C) (tptp.m1_cantor_1 (tptp.k3_setfam_1 (tptp.u1_pre_topc B) (tptp.u1_pre_topc C)) D))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_orders_2 A) (forall ((B $$unsorted)) (=> (tptp.m1_yellow_9 B A) (tptp.l1_waybel_9 B))))) (forall ((A $$unsorted)) (=> (tptp.l1_orders_2 A) (exists ((B $$unsorted)) (tptp.m1_yellow_9 B A)))) (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (forall ((B $$unsorted)) (=> (tptp.m2_yellow_9 B A) (and (tptp.v2_pre_topc B) (tptp.l1_pre_topc B)))))) (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (exists ((B $$unsorted)) (tptp.m2_yellow_9 B A)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.l1_pre_topc A) (tptp.l1_pre_topc B)) (forall ((C $$unsorted)) (=> (tptp.m3_yellow_9 C A B) (and (tptp.v2_pre_topc C) (tptp.l1_pre_topc C)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.l1_pre_topc A) (tptp.l1_pre_topc B)) (exists ((C $$unsorted)) (tptp.m3_yellow_9 C A B)))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.u1_struct_0 B))) (let ((_let_3 (tptp.k1_yellow_9 A B))) (=> (and (tptp.l1_struct_0 A) (tptp.l1_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 $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k2_yellow_9 A B))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 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.v6_waybel_0 _let_1 A) (tptp.l1_waybel_0 _let_1 A))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k3_yellow_9 A B))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 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.v6_waybel_0 _let_1 A) (tptp.l1_waybel_0 _let_1 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 (tptp.k1_zfmisc_1 _let_1))) (= (tptp.k7_setfam_1 _let_1 B) (tptp.a_2_0_yellow_9 A B))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (and (= (tptp.k5_waybel_0 A B) (tptp.k3_tarski (tptp.a_2_1_yellow_9 A B))) (= (tptp.k4_waybel_0 A B) (tptp.k3_tarski (tptp.a_2_2_yellow_9 A B)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 _let_1)) (=> (= B (tptp.a_2_3_yellow_9 A C)) (= (tptp.k8_setfam_1 _let_1 B) (tptp.k3_subset_1 _let_1 (tptp.k5_waybel_0 A C))))))))))) (forall ((A $$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_cantor_1 C A) (forall ((D $$unsorted)) (=> (tptp.m1_cantor_1 D B) (tptp.m1_cantor_1 (tptp.a_4_0_yellow_9 A B C D) (tptp.k6_borsuk_1 A B)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_pre_topc B) (tptp.l1_pre_topc B)) (forall ((C $$unsorted)) (=> (tptp.m2_cantor_1 C A) (forall ((D $$unsorted)) (=> (tptp.m2_cantor_1 D B) (tptp.m2_cantor_1 (tptp.k2_xboole_0 (tptp.a_3_0_yellow_9 A B D) (tptp.a_3_1_yellow_9 A B C)) (tptp.k6_borsuk_1 A B)))))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 (tptp.k2_zfmisc_1 A B)))) (forall ((D $$unsorted)) (=> (and (not (tptp.v1_xboole_0 D)) (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 A)))) (forall ((E $$unsorted)) (=> (and (not (tptp.v1_xboole_0 E)) (tptp.m1_subset_1 E (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 B)))) (=> (= C (tptp.a_4_1_yellow_9 A B D E)) (= (tptp.k8_setfam_1 (tptp.k2_zfmisc_1 A B) C) (tptp.k12_mcart_1 A B (tptp.k8_setfam_1 A D) (tptp.k8_setfam_1 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 $$unsorted)) (=> (tptp.m2_cantor_1 C A) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (tptp.m2_cantor_1 D B) (=> (and (= (tptp.k5_setfam_1 _let_2 C) _let_2) (= (tptp.k5_setfam_1 _let_1 D) _let_1)) (tptp.m2_cantor_1 (tptp.a_4_2_yellow_9 A B C D) (tptp.k6_borsuk_1 A B))))))))))))) (=> (and (= tptp.f3_s1_yellow_9 tptp.a_0_0_yellow_9) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.f1_s1_yellow_9) (= (tptp.f4_s1_yellow_9 (tptp.f4_s1_yellow_9 A)) A)))) (= tptp.f2_s1_yellow_9 tptp.a_0_1_yellow_9)) (=> (= tptp.f2_s2_yellow_9 tptp.a_0_2_yellow_9) (= (tptp.k7_setfam_1 (tptp.u1_struct_0 tptp.f1_s2_yellow_9) tptp.f2_s2_yellow_9) tptp.a_0_3_yellow_9)) (=> (= tptp.f2_s3_yellow_9 tptp.a_0_4_yellow_9) (= (tptp.k7_setfam_1 (tptp.u1_struct_0 tptp.f1_s3_yellow_9) tptp.f2_s3_yellow_9) tptp.a_0_5_yellow_9)) (= (tptp.k10_relat_1 tptp.f3_s4_yellow_9 (tptp.k3_tarski tptp.a_0_6_yellow_9)) (tptp.k3_tarski tptp.a_0_7_yellow_9)) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.l1_struct_0 B) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B))))) (= (tptp.r2_hidden A (tptp.a_2_0_yellow_9 B C)) (exists ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (and (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 _let_1)) (= A (tptp.k3_subset_1 _let_1 D)) (tptp.r2_hidden D C))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.l1_orders_2 B) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B)))) (= (tptp.r2_hidden A (tptp.a_2_1_yellow_9 B C)) (exists ((D $$unsorted)) (and (tptp.m1_subset_1 D (tptp.u1_struct_0 B)) (= A (tptp.k7_waybel_0 B D)) (tptp.r2_hidden D C)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.l1_orders_2 B) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B)))) (= (tptp.r2_hidden A (tptp.a_2_2_yellow_9 B C)) (exists ((D $$unsorted)) (and (tptp.m1_subset_1 D (tptp.u1_struct_0 B)) (= A (tptp.k6_waybel_0 B D)) (tptp.r2_hidden D C)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.l1_orders_2 B) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B)))) (= (tptp.r2_hidden A (tptp.a_2_3_yellow_9 B C)) (exists ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (and (tptp.m1_subset_1 D _let_1) (= A (tptp.k3_subset_1 _let_1 (tptp.k7_waybel_0 B D))) (tptp.r2_hidden D C))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$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.v2_pre_topc C) (tptp.l1_pre_topc C) (tptp.m1_cantor_1 D B) (tptp.m1_cantor_1 E C)) (= (tptp.r2_hidden A (tptp.a_4_0_yellow_9 B C D E)) (exists ((F $$unsorted) (G $$unsorted)) (and (tptp.m1_subset_1 F (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B))) (tptp.m1_subset_1 G (tptp.k1_zfmisc_1 (tptp.u1_struct_0 C))) (= A (tptp.k7_borsuk_1 B C F G)) (tptp.r2_hidden F D) (tptp.r2_hidden G E)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$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.v2_pre_topc C) (tptp.l1_pre_topc C) (tptp.m2_cantor_1 D C)) (= (tptp.r2_hidden A (tptp.a_3_0_yellow_9 B C D)) (exists ((E $$unsorted)) (and (tptp.m1_subset_1 E (tptp.k1_zfmisc_1 (tptp.u1_struct_0 C))) (= A (tptp.k2_zfmisc_1 (tptp.u1_struct_0 B) E)) (tptp.r2_hidden E D)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_pre_topc B) (tptp.l1_pre_topc B) (not (tptp.v3_struct_0 C)) (tptp.v2_pre_topc C) (tptp.l1_pre_topc C) (tptp.m2_cantor_1 D B)) (= (tptp.r2_hidden A (tptp.a_3_1_yellow_9 B C D)) (exists ((E $$unsorted)) (and (tptp.m1_subset_1 E (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B))) (= A (tptp.k2_zfmisc_1 E (tptp.u1_struct_0 C))) (tptp.r2_hidden E D)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (=> (and (not (tptp.v1_xboole_0 D)) (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 B))) (not (tptp.v1_xboole_0 E)) (tptp.m1_subset_1 E (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 C)))) (= (tptp.r2_hidden A (tptp.a_4_1_yellow_9 B C D E)) (exists ((F $$unsorted) (G $$unsorted)) (and (tptp.m1_subset_1 F (tptp.k1_zfmisc_1 B)) (tptp.m1_subset_1 G (tptp.k1_zfmisc_1 C)) (= A (tptp.k12_mcart_1 B C F G)) (tptp.r2_hidden F D) (tptp.r2_hidden G E)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$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.v2_pre_topc C) (tptp.l1_pre_topc C) (tptp.m2_cantor_1 D B) (tptp.m2_cantor_1 E C)) (= (tptp.r2_hidden A (tptp.a_4_2_yellow_9 B C D E)) (exists ((F $$unsorted) (G $$unsorted)) (and (tptp.m1_subset_1 F (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B))) (tptp.m1_subset_1 G (tptp.k1_zfmisc_1 (tptp.u1_struct_0 C))) (= A (tptp.k7_borsuk_1 B C F G)) (tptp.r2_hidden F D) (tptp.r2_hidden G E)))))) (forall ((A $$unsorted)) (= (tptp.r2_hidden A tptp.a_0_0_yellow_9) (exists ((B $$unsorted)) (and (tptp.m1_subset_1 B tptp.f1_s1_yellow_9) (= A (tptp.f4_s1_yellow_9 B)) (tptp.r2_hidden B tptp.f2_s1_yellow_9))))) (forall ((A $$unsorted)) (= (tptp.r2_hidden A tptp.a_0_1_yellow_9) (exists ((B $$unsorted)) (and (tptp.m1_subset_1 B tptp.f1_s1_yellow_9) (= A (tptp.f4_s1_yellow_9 B)) (tptp.r2_hidden B tptp.f3_s1_yellow_9))))) (forall ((A $$unsorted)) (= (tptp.r2_hidden A tptp.a_0_2_yellow_9) (exists ((B $$unsorted)) (and (tptp.m1_subset_1 B (tptp.u1_struct_0 tptp.f1_s2_yellow_9)) (= A (tptp.f4_s2_yellow_9 B)) (tptp.r2_hidden B tptp.f3_s2_yellow_9))))) (forall ((A $$unsorted)) (= (tptp.r2_hidden A tptp.a_0_3_yellow_9) (exists ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 tptp.f1_s2_yellow_9))) (and (tptp.m1_subset_1 B _let_1) (= A (tptp.k3_subset_1 _let_1 (tptp.f4_s2_yellow_9 B))) (tptp.r2_hidden B tptp.f3_s2_yellow_9)))))) (forall ((A $$unsorted)) (= (tptp.r2_hidden A tptp.a_0_4_yellow_9) (exists ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 tptp.f1_s3_yellow_9))) (and (tptp.m1_subset_1 B _let_1) (= A (tptp.k3_subset_1 _let_1 (tptp.f4_s3_yellow_9 B))) (tptp.r2_hidden B tptp.f3_s3_yellow_9)))))) (forall ((A $$unsorted)) (= (tptp.r2_hidden A tptp.a_0_5_yellow_9) (exists ((B $$unsorted)) (and (tptp.m1_subset_1 B (tptp.u1_struct_0 tptp.f1_s3_yellow_9)) (= A (tptp.f4_s3_yellow_9 B)) (tptp.r2_hidden B tptp.f3_s3_yellow_9))))) (forall ((A $$unsorted)) (= (tptp.r2_hidden A tptp.a_0_6_yellow_9) (exists ((B $$unsorted)) (and (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 tptp.f1_s4_yellow_9))) (= A (tptp.f2_s4_yellow_9 B)) (tptp.p1_s4_yellow_9 B))))) (forall ((A $$unsorted)) (= (tptp.r2_hidden A tptp.a_0_7_yellow_9) (exists ((B $$unsorted)) (and (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 tptp.f1_s4_yellow_9))) (= A (tptp.k10_relat_1 tptp.f3_s4_yellow_9 (tptp.f2_s4_yellow_9 B))) (tptp.p1_s4_yellow_9 B))))) (and (tptp.v1_orders_2 tptp.k1_yellow11) (tptp.v2_orders_2 tptp.k1_yellow11) (tptp.v3_orders_2 tptp.k1_yellow11) (tptp.v4_orders_2 tptp.k1_yellow11)) (and (not (tptp.v3_struct_0 tptp.k1_yellow11)) (tptp.v1_lattice3 tptp.k1_yellow11) (tptp.v2_lattice3 tptp.k1_yellow11)) (and (tptp.v1_orders_2 tptp.k2_yellow11) (tptp.v2_orders_2 tptp.k2_yellow11) (tptp.v3_orders_2 tptp.k2_yellow11) (tptp.v4_orders_2 tptp.k2_yellow11)) (and (not (tptp.v3_struct_0 tptp.k2_yellow11)) (tptp.v1_lattice3 tptp.k2_yellow11) (tptp.v2_lattice3 tptp.k2_yellow11)) (forall ((A $$unsorted)) (let ((_let_1 (tptp.v2_lattice3 A))) (let ((_let_2 (tptp.v4_orders_2 A))) (let ((_let_3 (tptp.v2_orders_2 A))) (let ((_let_4 (not (tptp.v3_struct_0 A)))) (=> (tptp.l1_orders_2 A) (=> (and _let_4 _let_3 _let_2 _let_1 (tptp.v2_waybel_1 A)) (and _let_4 _let_3 _let_2 _let_1 (tptp.v1_yellow11 A))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.v2_yellow11 B A)) (tptp.v1_waybel_0 B A)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.v2_yellow11 B A)) (tptp.v2_waybel_0 B A)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A) (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (tptp.v2_yellow11 (tptp.k3_yellow11 A B C) A)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k5_yellow_0 A (tptp.k3_yellow11 A B C)))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 A) (tptp.m1_subset_1 B _let_2) (tptp.m1_subset_1 C _let_2)) (and (tptp.v1_orders_2 _let_1) (tptp.v2_orders_2 _let_1) (tptp.v3_orders_2 _let_1) (tptp.v4_orders_2 _let_1) (tptp.v4_yellow_0 _let_1 A) (tptp.v5_yellow_0 _let_1 A)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k5_yellow_0 A (tptp.k3_yellow11 A B C)))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.l1_orders_2 A) (tptp.m1_subset_1 B _let_2) (tptp.m1_subset_1 C _let_2)) (and (tptp.v1_orders_2 _let_1) (tptp.v2_orders_2 _let_1) (tptp.v3_orders_2 _let_1) (tptp.v4_orders_2 _let_1) (tptp.v4_yellow_0 _let_1 A) (tptp.v6_yellow_0 _let_1 A)))))) (exists ((A $$unsorted)) (and (tptp.l1_orders_2 A) (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v6_group_1 A))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.v2_lattice3 A))) (let ((_let_2 (tptp.v4_orders_2 A))) (let ((_let_3 (tptp.v3_orders_2 A))) (let ((_let_4 (tptp.v2_orders_2 A))) (=> (tptp.l1_orders_2 A) (=> (and _let_4 _let_3 _let_2 _let_1 (tptp.v6_group_1 A)) (and (not (tptp.v3_struct_0 A)) _let_4 _let_3 _let_2 _let_1 (tptp.v1_yellow_0 A))))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.v2_lattice3 A))) (let ((_let_2 (tptp.v1_lattice3 A))) (let ((_let_3 (tptp.v4_orders_2 A))) (let ((_let_4 (tptp.v3_orders_2 A))) (let ((_let_5 (tptp.v2_orders_2 A))) (=> (tptp.l1_orders_2 A) (=> (and _let_5 _let_4 _let_3 _let_2 _let_1 (tptp.v6_group_1 A)) (and (not (tptp.v3_struct_0 A)) _let_5 _let_4 _let_3 _let_2 _let_1 (tptp.v3_lattice3 A) (tptp.v1_yellow_0 A) (tptp.v2_yellow_0 A) (tptp.v3_yellow_0 A)))))))))) (= tptp.np__3 (tptp.k1_enumset1 tptp.np__0 tptp.np__1 tptp.np__2)) (= _let_8 _let_11) (= _let_9 _let_10) (= _let_7 (tptp.k1_tarski tptp.np__2)) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 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.k12_lattice3 A B C) C) (= (tptp.k13_lattice3 A B C) B)))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$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_orders_2 A (tptp.k13_lattice3 A (tptp.k12_lattice3 A B C) (tptp.k12_lattice3 A B D)) (tptp.k12_lattice3 A B (tptp.k13_lattice3 A C D))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$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_orders_2 A (tptp.k13_lattice3 A B (tptp.k12_lattice3 A C D)) (tptp.k12_lattice3 A (tptp.k13_lattice3 A B C) (tptp.k13_lattice3 A B D))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$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_orders_2 A B D) (tptp.r3_orders_2 A (tptp.k13_lattice3 A B (tptp.k12_lattice3 A C D)) (tptp.k12_lattice3 A (tptp.k13_lattice3 A B C) D))))))))))) (= tptp.k1_yellow11 (tptp.k2_yellow_1 (tptp.k3_enumset1 tptp.np__0 _let_9 tptp.np__2 _let_7 tptp.np__3))) (= tptp.k2_yellow11 (tptp.k2_yellow_1 (tptp.k3_enumset1 tptp.np__0 tptp.np__1 _let_8 _let_7 tptp.np__3))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 A)) (and (not (and (exists ((B $$unsorted)) (and (tptp.v4_yellow_0 B A) (tptp.v5_yellow_0 B A) (tptp.v6_yellow_0 B A) (tptp.m1_yellow_0 B A) (tptp.r5_waybel_1 tptp.k1_yellow11 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 $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.u1_struct_0 A)) (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F (tptp.u1_struct_0 A)) (not (and (not (= B C)) (not (= B D)) (not (= B E)) (not (= B F)) (not (= C D)) (not (= C E)) (not (= C F)) (not (= D E)) (not (= D F)) (not (= E F)) (= (tptp.k12_lattice3 A B C) B) (= (tptp.k12_lattice3 A B D) B) (= (tptp.k12_lattice3 A D F) D) (= (tptp.k12_lattice3 A E F) E) (= (tptp.k12_lattice3 A C D) B) (= (tptp.k12_lattice3 A C E) C) (= (tptp.k12_lattice3 A D E) B) (= (tptp.k13_lattice3 A C D) F) (= (tptp.k13_lattice3 A D E) F))))))))))))))) (not (and (exists ((B $$unsorted)) (and (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (exists ((C $$unsorted)) (and (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (exists ((D $$unsorted)) (and (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (exists ((E $$unsorted)) (and (tptp.m1_subset_1 E (tptp.u1_struct_0 A)) (exists ((F $$unsorted)) (and (tptp.m1_subset_1 F (tptp.u1_struct_0 A)) (not (= B C)) (not (= B D)) (not (= B E)) (not (= B F)) (not (= C D)) (not (= C E)) (not (= C F)) (not (= D E)) (not (= D F)) (not (= E F)) (= (tptp.k12_lattice3 A B C) B) (= (tptp.k12_lattice3 A B D) B) (= (tptp.k12_lattice3 A D F) D) (= (tptp.k12_lattice3 A E F) E) (= (tptp.k12_lattice3 A C D) B) (= (tptp.k12_lattice3 A C E) C) (= (tptp.k12_lattice3 A D E) B) (= (tptp.k13_lattice3 A C D) F) (= (tptp.k13_lattice3 A D E) F))))))))))) (forall ((B $$unsorted)) (=> (and (tptp.v4_yellow_0 B A) (tptp.v5_yellow_0 B A) (tptp.v6_yellow_0 B A) (tptp.m1_yellow_0 B A)) (not (tptp.r5_waybel_1 tptp.k1_yellow11 B))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 A)) (and (not (and (exists ((B $$unsorted)) (and (tptp.v4_yellow_0 B A) (tptp.v5_yellow_0 B A) (tptp.v6_yellow_0 B A) (tptp.m1_yellow_0 B A) (tptp.r5_waybel_1 tptp.k2_yellow11 B))) (forall ((B $$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)) (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 (not (= B C)) (not (= B D)) (not (= B E)) (not (= B F)) (not (= C D)) (not (= C E)) (not (= C F)) (not (= D E)) (not (= D F)) (not (= E F)) (= (tptp.k12_lattice3 A B C) B) (= (tptp.k12_lattice3 A B D) B) (= (tptp.k12_lattice3 A B E) B) (= (tptp.k12_lattice3 A C F) C) (= (tptp.k12_lattice3 A D F) D) (= (tptp.k12_lattice3 A E F) E) (= (tptp.k12_lattice3 A C D) B) (= (tptp.k12_lattice3 A C E) B) (= (tptp.k12_lattice3 A D E) B) (= (tptp.k13_lattice3 A C D) F) (= (tptp.k13_lattice3 A C E) F) (= (tptp.k13_lattice3 A D E) F))))))))))))))) (not (and (exists ((B $$unsorted)) (and (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (exists ((C $$unsorted)) (and (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (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)) (exists ((F $$unsorted)) (and (tptp.m1_subset_1 F (tptp.u1_struct_0 A)) (not (= B C)) (not (= B D)) (not (= B E)) (not (= B F)) (not (= C D)) (not (= C E)) (not (= C F)) (not (= D E)) (not (= D F)) (not (= E F)) (= (tptp.k12_lattice3 A B C) B) (= (tptp.k12_lattice3 A B D) B) (= (tptp.k12_lattice3 A B E) B) (= (tptp.k12_lattice3 A C F) C) (= (tptp.k12_lattice3 A D F) D) (= (tptp.k12_lattice3 A E F) E) (= (tptp.k12_lattice3 A C D) B) (= (tptp.k12_lattice3 A C E) B) (= (tptp.k12_lattice3 A D E) B) (= (tptp.k13_lattice3 A C D) F) (= (tptp.k13_lattice3 A C E) F) (= (tptp.k13_lattice3 A D E) F))))))))))) (forall ((B $$unsorted)) (=> (and (tptp.v4_yellow_0 B A) (tptp.v5_yellow_0 B A) (tptp.v6_yellow_0 B A) (tptp.m1_yellow_0 B A)) (not (tptp.r5_waybel_1 tptp.k2_yellow11 B))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (= (tptp.v1_yellow11 A) (forall ((B $$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_orders_2 A B D) (= (tptp.k10_lattice3 A B (tptp.k11_lattice3 A C D)) (tptp.k11_lattice3 A (tptp.k10_lattice3 A B C) D)))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 A)) (= (tptp.v1_yellow11 A) (forall ((B $$unsorted)) (=> (and (tptp.v4_yellow_0 B A) (tptp.v5_yellow_0 B A) (tptp.v6_yellow_0 B A) (tptp.m1_yellow_0 B A)) (not (tptp.r5_waybel_1 tptp.k1_yellow11 B))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 A)) (=> (tptp.v1_yellow11 A) (= (tptp.v2_waybel_1 A) (forall ((B $$unsorted)) (=> (and (tptp.v4_yellow_0 B A) (tptp.v5_yellow_0 B A) (tptp.v6_yellow_0 B A) (tptp.m1_yellow_0 B A)) (not (tptp.r5_waybel_1 tptp.k2_yellow11 B)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (forall ((B $$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.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (= D (tptp.k3_yellow11 A B C)) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.u1_struct_0 A)) (= (tptp.r2_hidden E D) (and (tptp.r1_orders_2 A B E) (tptp.r1_orders_2 A E C)))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (tptp.v2_yellow11 B A) (exists ((C $$unsorted)) (and (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (exists ((D $$unsorted)) (and (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (= B (tptp.k3_yellow11 A C D))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.l1_orders_2 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.k3_yellow11 A B C) (tptp.k5_subset_1 _let_1 (tptp.k7_waybel_0 A B) (tptp.k6_waybel_0 A C)))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (=> (tptp.v1_yellow11 A) (tptp.r5_waybel_1 (tptp.k5_yellow_0 A (tptp.k3_yellow11 A C (tptp.k13_lattice3 A B C))) (tptp.k5_yellow_0 A (tptp.k3_yellow11 A (tptp.k12_lattice3 A B C) B)))))))))) (tptp.l1_orders_2 tptp.k1_yellow11) (tptp.l1_orders_2 tptp.k2_yellow11) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A) (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (tptp.m1_subset_1 (tptp.k3_yellow11 A B C) (tptp.k1_zfmisc_1 _let_1))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.v1_funct_1 A))) (let ((_let_2 (tptp.v1_relat_1 A))) (=> (and _let_2 _let_1 (tptp.v1_waybel18 A)) (and _let_2 _let_1 (tptp.v2_pralg_1 A)))))) (forall ((A $$unsorted)) (exists ((B $$unsorted)) (and (tptp.m1_pboole B A) (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (tptp.v2_pralg_1 B) (tptp.v1_waybel18 B)))) (forall ((A $$unsorted)) (exists ((B $$unsorted)) (and (tptp.m1_pboole B A) (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (tptp.v4_waybel_3 B) (tptp.v2_pralg_1 B) (tptp.v1_waybel18 B)))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k3_waybel18 A B))) (=> (and (tptp.v4_waybel_3 B) (tptp.v1_waybel18 B) (tptp.m1_pboole B A)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v1_pre_topc _let_1) (tptp.v2_pre_topc _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k3_waybel18 A B))) (=> (and (tptp.v4_waybel_3 B) (tptp.v1_waybel18 B) (tptp.m1_pboole B A)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v1_pre_topc _let_1) (tptp.v2_pre_topc _let_1) (tptp.v1_monoid_0 _let_1))))) (forall ((A $$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.l1_struct_0 A) (not (tptp.v3_struct_0 B)) (tptp.l1_pre_topc B) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.m1_relset_1 C _let_2 _let_1)) (not (tptp.v3_struct_0 (tptp.k7_waybel18 A B C))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 (tptp.k7_waybel18 A B C)))) (let ((_let_2 (tptp.u1_struct_0 A))) (let ((_let_3 (tptp.k8_waybel18 A B C))) (let ((_let_4 (tptp.u1_struct_0 B))) (=> (and (tptp.l1_struct_0 A) (not (tptp.v3_struct_0 B)) (tptp.l1_pre_topc B) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_4) (tptp.m1_relset_1 C _let_2 _let_4)) (and (tptp.v1_relat_1 _let_3) (tptp.v1_funct_1 _let_3) (tptp.v1_funct_2 _let_3 _let_2 _let_1) (tptp.v2_funct_2 _let_3 _let_2 _let_1)))))))) (and _let_6 _let_3 _let_5) (and _let_6 _let_3 _let_5 _let_4) (and _let_6 _let_3 _let_5 _let_4 (tptp.v2_waybel18 tptp.k9_waybel18)) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k2_funcop_1 A B))) (=> (and (not (tptp.v3_struct_0 B)) (tptp.l1_struct_0 B)) (and (tptp.v1_relat_1 _let_1) (tptp.v1_funct_1 _let_1) (tptp.v4_waybel_3 _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k2_funcop_1 A B))) (=> (tptp.l1_pre_topc B) (and (tptp.v1_relat_1 _let_1) (tptp.v1_funct_1 _let_1) (tptp.v2_pralg_1 _let_1) (tptp.v1_waybel18 _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k2_funcop_1 A B))) (=> (and (tptp.v2_orders_2 B) (tptp.l1_orders_2 B)) (and (tptp.v1_relat_1 _let_1) (tptp.v1_funct_1 _let_1) (tptp.v1_yellow_1 _let_1) (tptp.v5_waybel_3 _let_1) (tptp.v2_pralg_1 _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k5_yellow_1 A (tptp.k2_pre_circ A B)))) (=> (and (not (tptp.v1_xboole_0 A)) (not (tptp.v3_struct_0 B)) (tptp.v4_orders_2 B) (tptp.l1_orders_2 B)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v1_orders_2 _let_1) (tptp.v4_orders_2 _let_1) (tptp.v1_monoid_0 _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k5_yellow_1 A (tptp.k2_pre_circ A B)))) (=> (and (not (tptp.v1_xboole_0 A)) (not (tptp.v3_struct_0 B)) (tptp.v3_orders_2 B) (tptp.l1_orders_2 B)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v1_orders_2 _let_1) (tptp.v3_orders_2 _let_1) (tptp.v1_monoid_0 _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k5_yellow_1 A (tptp.k2_pre_circ A B)))) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.v1_lattice3 B) (tptp.v2_lattice3 B) (tptp.v3_lattice3 B) (tptp.l1_orders_2 B)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v1_orders_2 _let_1) (tptp.v2_orders_2 _let_1) (tptp.v3_orders_2 _let_1) (tptp.v4_orders_2 _let_1) (tptp.v1_yellow_0 _let_1) (tptp.v2_yellow_0 _let_1) (tptp.v3_yellow_0 _let_1) (tptp.v24_waybel_0 _let_1) (tptp.v25_waybel_0 _let_1) (tptp.v1_lattice3 _let_1) (tptp.v2_lattice3 _let_1) (tptp.v3_lattice3 _let_1) (tptp.v1_monoid_0 _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k5_yellow_1 A (tptp.k2_pre_circ A B)))) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.v1_yellow_0 B) (tptp.v2_waybel_8 B) (tptp.v1_lattice3 B) (tptp.v2_lattice3 B) (tptp.l1_orders_2 B)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v1_orders_2 _let_1) (tptp.v2_orders_2 _let_1) (tptp.v3_orders_2 _let_1) (tptp.v4_orders_2 _let_1) (tptp.v1_yellow_0 _let_1) (tptp.v2_yellow_0 _let_1) (tptp.v3_yellow_0 _let_1) (tptp.v24_waybel_0 _let_1) (tptp.v25_waybel_0 _let_1) (tptp.v2_waybel_3 _let_1) (tptp.v3_waybel_3 _let_1) (tptp.v1_waybel_8 _let_1) (tptp.v2_waybel_8 _let_1) (tptp.v1_lattice3 _let_1) (tptp.v2_lattice3 _let_1) (tptp.v3_lattice3 _let_1) (tptp.v1_monoid_0 _let_1))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k1_enumset1 A B C))) (= (tptp.r1_tarski D _let_1) (not (and (not (= D tptp.k1_xboole_0)) (not (= D (tptp.k1_tarski A))) (not (= D (tptp.k1_tarski B))) (not (= D (tptp.k1_tarski C))) (not (= D (tptp.k2_tarski A B))) (not (= D (tptp.k2_tarski B C))) (not (= D (tptp.k2_tarski A C))) (not (= D _let_1))))))) (forall ((A $$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_tarski tptp.k1_xboole_0))) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 A))) (=> (or (= C (tptp.k4_xboole_0 B _let_1)) (= B (tptp.k2_xboole_0 C _let_1))) (= (tptp.k1_cantor_1 A B) (tptp.k1_cantor_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.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (= (tptp.m1_cantor_1 B A) (tptp.m1_cantor_1 (tptp.k4_xboole_0 B (tptp.k1_tarski tptp.k1_xboole_0)) A)))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (= (tptp.v1_waybel18 A) (forall ((B $$unsorted)) (=> (tptp.r2_hidden B (tptp.k2_relat_1 A)) (tptp.l1_pre_topc B)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_waybel18 B) (tptp.m1_pboole B A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 (tptp.k4_card_3 (tptp.k12_pralg_1 A B))))) (= (= C (tptp.k2_waybel18 A B)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.k4_card_3 (tptp.k12_pralg_1 A B)))) (= (tptp.r2_hidden D C) (exists ((E $$unsorted) (F $$unsorted)) (and (tptp.l1_pre_topc F) (exists ((G $$unsorted)) (and (tptp.m1_subset_1 G (tptp.k1_zfmisc_1 (tptp.u1_struct_0 F))) (tptp.r2_hidden E A) (tptp.v3_pre_topc G F) (= F (tptp.k1_funct_1 B E)) (= D (tptp.k4_card_3 (tptp.k2_funct_7 (tptp.k12_pralg_1 A B) E G))))))))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 A))) (tptp.v2_pre_topc (tptp.g1_pre_topc A (tptp.k1_cantor_1 A (tptp.k2_cantor_1 A B)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v4_waybel_3 B) (tptp.v1_waybel18 B) (tptp.m1_pboole B A)) (forall ((C $$unsorted)) (=> (and (tptp.v1_pre_topc C) (tptp.v2_pre_topc C) (tptp.l1_pre_topc C)) (= (= C (tptp.k3_waybel18 A B)) (and (= (tptp.u1_struct_0 C) (tptp.k4_card_3 (tptp.k12_pralg_1 A B))) (tptp.m2_cantor_1 (tptp.k2_waybel18 A B) C))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (and (tptp.v4_waybel_3 B) (tptp.v1_waybel18 B) (tptp.m1_pboole B A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C A) (= (tptp.k6_waybel18 A B C) (tptp.k3_pralg_3 (tptp.k12_pralg_1 A B) C)))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (and (tptp.v4_waybel_3 B) (tptp.v1_waybel18 B) (tptp.m1_pboole B A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C A) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k4_waybel18 A B C))) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 _let_1))) (= (tptp.k5_pre_topc (tptp.k3_waybel18 A B) _let_1 (tptp.k6_waybel18 A B C) D) (tptp.k4_card_3 (tptp.k2_funct_7 (tptp.k12_pralg_1 A B) C D)))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (and (tptp.v4_waybel_3 B) (tptp.v1_waybel18 B) (tptp.m1_pboole B A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C A) (tptp.v5_pre_topc (tptp.k6_waybel18 A B C) (tptp.k3_waybel18 A B) (tptp.k4_waybel18 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)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (=> (and (tptp.v4_waybel_3 C) (tptp.v1_waybel18 C) (tptp.m1_pboole C B)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k3_waybel18 B C))) (let ((_let_2 (tptp.u1_struct_0 _let_1))) (let ((_let_3 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D _let_3 _let_2) (tptp.m2_relset_1 D _let_3 _let_2)) (= (tptp.v5_pre_topc D A _let_1) (forall ((E $$unsorted)) (let ((_let_1 (tptp.k4_waybel18 B C E))) (=> (tptp.m1_subset_1 E B) (tptp.v5_pre_topc (tptp.k7_funct_2 (tptp.u1_struct_0 A) (tptp.u1_struct_0 (tptp.k3_waybel18 B C)) (tptp.u1_struct_0 _let_1) D (tptp.k6_waybel18 B C E)) A _let_1)))))))))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (= (tptp.v2_waybel18 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 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.m2_relset_1 C _let_2 _let_1)) (=> (tptp.v5_pre_topc C B A) (forall ((D $$unsorted)) (=> (and (not (tptp.v3_struct_0 D)) (tptp.v2_pre_topc D) (tptp.l1_pre_topc D)) (not (and (tptp.m1_pre_topc B D) (forall ((E $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.u1_struct_0 D))) (=> (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 (tptp.v5_pre_topc E D A) (= (tptp.k7_relat_1 E (tptp.u1_struct_0 B)) C))))))))))))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (and (tptp.v4_waybel_3 B) (tptp.v1_waybel18 B) (tptp.m1_pboole B A)) (=> (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C A) (tptp.v2_waybel18 (tptp.k4_waybel18 A B C)))) (tptp.v2_waybel18 (tptp.k3_waybel18 A B))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (=> (tptp.v2_waybel18 A) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.m1_pre_topc B A)) (=> (tptp.r1_borsuk_1 A B) (tptp.v2_waybel18 B))))))) (forall ((A $$unsorted)) (=> (tptp.l1_struct_0 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.k7_waybel18 A B C) (tptp.k3_pre_topc B (tptp.k1_yellow_2 A B C))))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_struct_0 A) (forall ((B $$unsorted)) (=> (tptp.l1_pre_topc B) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.m2_relset_1 C _let_2 _let_1)) (= (tptp.u1_struct_0 (tptp.k7_waybel18 A B C)) (tptp.k1_yellow_2 A B C)))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_struct_0 A) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.l1_pre_topc B)) (forall ((C $$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.k8_waybel18 A B C) 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 $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.m2_relset_1 C _let_2 _let_1)) (=> (tptp.v5_pre_topc C A B) (tptp.v5_pre_topc (tptp.k8_waybel18 A B C) A (tptp.k7_waybel18 A B C))))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (forall ((B $$unsorted)) (=> (tptp.l1_pre_topc B) (= (tptp.r1_waybel18 A B) (exists ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_1 _let_1) (tptp.m2_relset_1 C _let_1 _let_1) (tptp.v5_pre_topc C B B) (= (tptp.k2_monoid_0 _let_1 C C) C) (tptp.r1_t_0topsp (tptp.k7_waybel18 B 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)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_pre_topc B) (tptp.l1_pre_topc B)) (=> (tptp.v2_waybel18 A) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.m2_relset_1 C _let_2 _let_1)) (=> (tptp.v3_tops_2 (tptp.k8_waybel18 A B C) A (tptp.k7_waybel18 A B C)) (tptp.r1_waybel18 A B))))))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k2_tarski tptp.np__0 tptp.np__1))) (=> (and (tptp.v1_pre_topc A) (tptp.l1_pre_topc A)) (= (= A tptp.k9_waybel18) (and (= (tptp.u1_struct_0 A) _let_1) (= (tptp.u1_pre_topc A) (tptp.k1_enumset1 tptp.k1_xboole_0 (tptp.k1_tarski tptp.np__1) _let_1))))))) (forall ((A $$unsorted)) (=> (and (tptp.v4_waybel11 A) (tptp.m1_yellow_9 A (tptp.k3_yellow_1 tptp.np__1))) (= (tptp.u1_pre_topc A) (tptp.u1_pre_topc tptp.k9_waybel18)))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (exists ((B $$unsorted)) (let ((_let_1 (tptp.k5_yellow_1 A (tptp.k2_pre_circ A (tptp.k3_yellow_1 tptp.np__1))))) (let ((_let_2 (tptp.k3_yellow_1 A))) (let ((_let_3 (tptp.u1_struct_0 _let_1))) (let ((_let_4 (tptp.u1_struct_0 _let_2))) (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_4 _let_3) (tptp.m2_relset_1 B _let_4 _let_3) (tptp.v23_waybel_0 B _let_2 _let_1) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 A)) (= (tptp.k1_funct_1 B C) (tptp.k5_funct_3 C A)))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (and (tptp.v4_waybel11 B) (tptp.m1_yellow_9 B (tptp.k5_yellow_1 A (tptp.k2_pre_circ A (tptp.k3_yellow_1 tptp.np__1))))) (= (tptp.u1_pre_topc B) (tptp.u1_pre_topc (tptp.k3_waybel18 A (tptp.k2_pre_circ A tptp.k9_waybel18)))))))) (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.u1_struct_0 A) (tptp.u1_struct_0 B)) (= (tptp.u1_pre_topc A) (tptp.u1_pre_topc B)) (tptp.v2_waybel18 A)) (tptp.v2_waybel18 B)))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (and (tptp.v4_waybel11 B) (tptp.m1_yellow_9 B (tptp.k5_yellow_1 A (tptp.k2_pre_circ A (tptp.k3_yellow_1 tptp.np__1))))) (tptp.v2_waybel18 B))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.v2_t_0topsp A) (tptp.l1_pre_topc A)) (exists ((B $$unsorted)) (and (not (tptp.v1_xboole_0 B)) (exists ((C $$unsorted)) (let ((_let_1 (tptp.k3_waybel18 B (tptp.k2_pre_circ B tptp.k9_waybel18)))) (let ((_let_2 (tptp.u1_struct_0 _let_1))) (let ((_let_3 (tptp.u1_struct_0 A))) (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_3 _let_2) (tptp.m2_relset_1 C _let_3 _let_2) (tptp.v3_tops_2 (tptp.k8_waybel18 A _let_1 C) A (tptp.k7_waybel18 A _let_1 C))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.v2_t_0topsp A) (tptp.l1_pre_topc A)) (not (and (tptp.v2_waybel18 A) (forall ((B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (not (tptp.r1_waybel18 A (tptp.k3_waybel18 B (tptp.k2_pre_circ B tptp.k9_waybel18)))))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v1_waybel18 B) (tptp.m1_pboole B A) (tptp.m1_subset_1 C A)) (tptp.l1_pre_topc (tptp.k1_waybel18 A B C)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v1_waybel18 B) (tptp.m1_pboole B A) (tptp.m1_subset_1 C A)) (= (tptp.k1_waybel18 A B C) (tptp.k1_funct_1 B C)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_waybel18 B) (tptp.m1_pboole B A)) (tptp.m1_subset_1 (tptp.k2_waybel18 A B) (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 (tptp.k4_card_3 (tptp.k12_pralg_1 A B))))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k3_waybel18 A B))) (=> (and (tptp.v4_waybel_3 B) (tptp.v1_waybel18 B) (tptp.m1_pboole B A)) (and (tptp.v1_pre_topc _let_1) (tptp.v2_pre_topc _let_1) (tptp.l1_pre_topc _let_1))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k4_waybel18 A B C))) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v4_waybel_3 B) (tptp.v1_waybel18 B) (tptp.m1_pboole B A) (tptp.m1_subset_1 C A)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.l1_pre_topc _let_1))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v4_waybel_3 B) (tptp.v1_waybel18 B) (tptp.m1_pboole B A) (tptp.m1_subset_1 C A)) (= (tptp.k4_waybel18 A B C) (tptp.k1_funct_1 B C)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v4_waybel_3 B) (tptp.v1_waybel18 B) (tptp.m1_pboole B A) (tptp.m1_subset_1 C (tptp.u1_struct_0 (tptp.k3_waybel18 A B))) (tptp.m1_subset_1 D A)) (tptp.m1_subset_1 (tptp.k5_waybel18 A B C D) (tptp.u1_struct_0 (tptp.k4_waybel18 A B D))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v4_waybel_3 B) (tptp.v1_waybel18 B) (tptp.m1_pboole B A) (tptp.m1_subset_1 C (tptp.u1_struct_0 (tptp.k3_waybel18 A B))) (tptp.m1_subset_1 D A)) (= (tptp.k5_waybel18 A B C D) (tptp.k1_funct_1 C D)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 (tptp.k4_waybel18 A B C)))) (let ((_let_2 (tptp.u1_struct_0 (tptp.k3_waybel18 A B)))) (let ((_let_3 (tptp.k6_waybel18 A B C))) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v4_waybel_3 B) (tptp.v1_waybel18 B) (tptp.m1_pboole B A) (tptp.m1_subset_1 C 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 $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (tptp.l1_struct_0 A) (tptp.l1_pre_topc B) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.m1_relset_1 C _let_2 _let_1)) (tptp.m1_pre_topc (tptp.k7_waybel18 A B C) B))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 (tptp.k7_waybel18 A B C)))) (let ((_let_2 (tptp.u1_struct_0 A))) (let ((_let_3 (tptp.k8_waybel18 A B C))) (let ((_let_4 (tptp.u1_struct_0 B))) (=> (and (tptp.l1_struct_0 A) (not (tptp.v3_struct_0 B)) (tptp.l1_pre_topc B) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_4) (tptp.m1_relset_1 C _let_2 _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)))))))) (and _let_3 (tptp.l1_pre_topc tptp.k9_waybel18)) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (tptp.m2_cantor_1 (tptp.a_1_0_waybel18 A) (tptp.k3_waybel18 A (tptp.k2_pre_circ A tptp.k9_waybel18))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (= (tptp.r2_hidden A (tptp.a_1_0_waybel18 B)) (exists ((C $$unsorted)) (and (tptp.m1_subset_1 C B) (= A (tptp.k4_card_3 (tptp.k2_funct_7 (tptp.k12_pralg_1 B (tptp.k2_pre_circ B tptp.k9_waybel18)) C (tptp.k1_tarski tptp.np__1))))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.v2_pre_topc A))) (let ((_let_2 (tptp.v2_orders_2 A))) (let ((_let_3 (not (tptp.v3_struct_0 A)))) (=> (tptp.l1_waybel_9 A) (=> (and _let_3 _let_2 _let_1 (tptp.v3_realset2 A)) (and _let_3 _let_2 _let_1 (not (tptp.v1_yellow_3 A)) (tptp.v1_waybel19 A)))))))) (exists ((A $$unsorted)) (and (tptp.l1_waybel_9 A) (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_yellow_0 A) (tptp.v2_yellow_0 A) (tptp.v3_yellow_0 A) (tptp.v16_waybel_0 A) (tptp.v24_waybel_0 A) (tptp.v25_waybel_0 A) (tptp.v2_pre_topc A) (tptp.v2_waybel_3 A) (tptp.v3_waybel_3 A) (not (tptp.v1_yellow_3 A)) (tptp.v1_waybel_9 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_lattice3 A) (tptp.v3_realset2 A) (tptp.v1_waybel19 A))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (exists ((B $$unsorted)) (and (tptp.m1_yellow_9 B A) (not (tptp.v3_struct_0 B)) (tptp.v2_pre_topc B) (tptp.v1_waybel_9 B) (tptp.v1_waybel19 B))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.v2_pre_topc A))) (let ((_let_2 (tptp.v4_orders_2 A))) (let ((_let_3 (tptp.v3_orders_2 A))) (let ((_let_4 (tptp.v2_orders_2 A))) (let ((_let_5 (not (tptp.v3_struct_0 A)))) (=> (tptp.l1_waybel_9 A) (=> (and _let_5 _let_4 _let_3 _let_2 _let_1 (tptp.v1_waybel19 A)) (and _let_5 _let_4 _let_3 _let_2 _let_1 (tptp.v2_t_0topsp A) (not (tptp.v1_yellow_3 A))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v1_yellow_0 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_yellow_9 B A) (and (not (tptp.v3_struct_0 B)) (tptp.v1_yellow_0 B)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v3_waybel_3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_yellow_9 B A) (and (not (tptp.v3_struct_0 B)) (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.v24_waybel_0 B) (tptp.v2_waybel_3 B) (tptp.v3_waybel_3 B) (not (tptp.v1_yellow_3 B))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_lattice3 A) (tptp.l1_orders_2 A)) (exists ((B $$unsorted)) (and (tptp.m1_yellow_9 B A) (not (tptp.v3_struct_0 B)) (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.v1_yellow_0 B) (tptp.v2_yellow_0 B) (tptp.v3_yellow_0 B) (tptp.v24_waybel_0 B) (tptp.v25_waybel_0 B) (tptp.v2_pre_topc B) (not (tptp.v1_yellow_3 B)) (tptp.v1_waybel_9 B) (tptp.v1_lattice3 B) (tptp.v2_lattice3 B) (tptp.v3_lattice3 B) (tptp.v2_waybel19 B))))) (exists ((A $$unsorted)) (and (tptp.l1_waybel_9 A) (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_yellow_0 A) (tptp.v2_yellow_0 A) (tptp.v3_yellow_0 A) (tptp.v24_waybel_0 A) (tptp.v25_waybel_0 A) (tptp.v2_pre_topc A) (not (tptp.v1_yellow_3 A)) (tptp.v1_waybel_9 A) (tptp.v4_waybel11 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_lattice3 A))) (exists ((A $$unsorted)) (and (tptp.l1_waybel_9 A) (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_yellow_0 A) (tptp.v2_yellow_0 A) (tptp.v3_yellow_0 A) (tptp.v24_waybel_0 A) (tptp.v25_waybel_0 A) (tptp.v2_pre_topc A) (tptp.v2_waybel_3 A) (tptp.v3_waybel_3 A) (not (tptp.v1_yellow_3 A)) (tptp.v1_waybel_9 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_lattice3 A) (tptp.v2_waybel19 A))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.v3_lattice3 A))) (let ((_let_2 (tptp.v2_lattice3 A))) (let ((_let_3 (tptp.v1_lattice3 A))) (let ((_let_4 (tptp.v2_pre_topc A))) (let ((_let_5 (tptp.v4_orders_2 A))) (let ((_let_6 (tptp.v3_orders_2 A))) (let ((_let_7 (tptp.v2_orders_2 A))) (=> (tptp.l1_waybel_9 A) (=> (and _let_7 _let_6 _let_5 _let_4 _let_3 _let_2 _let_1 (tptp.v2_waybel19 A)) (and (not (tptp.v3_struct_0 A)) _let_7 _let_6 _let_5 (tptp.v1_yellow_0 A) (tptp.v2_yellow_0 A) (tptp.v3_yellow_0 A) (tptp.v24_waybel_0 A) (tptp.v25_waybel_0 A) _let_4 (not (tptp.v1_yellow_3 A)) (tptp.v2_compts_1 A) (tptp.v1_urysohn1 A) _let_3 _let_2 _let_1))))))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.v3_lattice3 A))) (let ((_let_2 (tptp.v2_lattice3 A))) (let ((_let_3 (tptp.v1_lattice3 A))) (let ((_let_4 (tptp.v3_waybel_3 A))) (let ((_let_5 (tptp.v2_pre_topc A))) (let ((_let_6 (tptp.v4_orders_2 A))) (let ((_let_7 (tptp.v3_orders_2 A))) (let ((_let_8 (tptp.v2_orders_2 A))) (=> (tptp.l1_waybel_9 A) (=> (and _let_8 _let_7 _let_6 _let_5 _let_4 _let_3 _let_2 _let_1 (tptp.v2_waybel19 A)) (and (not (tptp.v3_struct_0 A)) _let_8 _let_7 _let_6 (tptp.v1_yellow_0 A) (tptp.v2_yellow_0 A) (tptp.v3_yellow_0 A) (tptp.v24_waybel_0 A) (tptp.v25_waybel_0 A) _let_5 (tptp.v2_waybel_3 A) _let_4 (not (tptp.v1_yellow_3 A)) (tptp.v3_compts_1 A) _let_3 _let_2 _let_1)))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (exists ((B $$unsorted)) (and (tptp.v2_pre_topc B) (tptp.v1_waybel_9 B) (tptp.m1_yellow_9 B A) (tptp.v1_waybel19 B))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.v1_waybel19 A) (tptp.l1_waybel_9 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_pre_topc B) (tptp.v1_waybel19 B) (tptp.l1_waybel_9 B)) (=> (= (tptp.g1_orders_2 (tptp.u1_struct_0 A) (tptp.u1_orders_2 A)) (tptp.g1_orders_2 (tptp.u1_struct_0 B) (tptp.u1_orders_2 B))) (= (tptp.u1_pre_topc A) (tptp.u1_pre_topc B))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (= (= B (tptp.k1_waybel19 A)) (forall ((C $$unsorted)) (=> (and (tptp.v2_pre_topc C) (tptp.v1_waybel19 C) (tptp.m1_yellow_9 C A)) (= B (tptp.u1_pre_topc C))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.l1_orders_2 B)) (=> (= (tptp.g1_orders_2 (tptp.u1_struct_0 A) (tptp.u1_orders_2 A)) (tptp.g1_orders_2 (tptp.u1_struct_0 B) (tptp.u1_orders_2 B))) (= (tptp.k1_waybel19 A) (tptp.k1_waybel19 B))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v1_waybel19 A) (tptp.l1_waybel_9 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k7_waybel_0 A B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 B _let_2) (and (tptp.v3_pre_topc (tptp.k3_subset_1 _let_2 _let_1) A) (tptp.v4_pre_topc _let_1 A)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_orders_2 A) (tptp.v1_waybel19 A) (tptp.l1_waybel_9 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (tptp.v3_pre_topc B A) (tptp.v12_waybel_0 B A)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_orders_2 A) (tptp.v1_waybel19 A) (tptp.l1_waybel_9 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (tptp.v4_pre_topc B A) (tptp.v13_waybel_0 B A)))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v2_pre_topc A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_lattice3 A) (tptp.v1_waybel19 A) (tptp.l1_waybel_9 A)) (forall ((B $$unsorted)) (=> (and (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.v2_pre_topc B) (tptp.v1_lattice3 B) (tptp.v2_lattice3 B) (tptp.v3_lattice3 B) (tptp.v1_waybel19 B) (tptp.l1_waybel_9 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.m2_relset_1 C _let_2 _let_1)) (=> (forall ((D $$unsorted)) (=> (and (not (tptp.v1_xboole_0 D)) (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (tptp.r3_waybel_0 A B C D))) (tptp.v5_pre_topc C A B)))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v2_pre_topc A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_lattice3 A) (tptp.v1_waybel19 A) (tptp.l1_waybel_9 A)) (forall ((B $$unsorted)) (=> (and (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.v2_pre_topc B) (tptp.v1_lattice3 B) (tptp.v2_lattice3 B) (tptp.v3_lattice3 B) (tptp.v1_waybel19 B) (tptp.l1_waybel_9 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.m2_relset_1 C _let_2 _let_1)) (=> (tptp.v17_waybel_0 C A B) (tptp.v5_pre_topc C A B)))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v2_pre_topc A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_lattice3 A) (tptp.v1_waybel19 A) (tptp.l1_waybel_9 A)) (forall ((B $$unsorted)) (=> (tptp.m2_cantor_1 B A) (forall ((C $$unsorted)) (=> (and (not (tptp.v1_xboole_0 C)) (tptp.v2_waybel_0 C A) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (=> (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (not (and (tptp.r2_hidden D B) (tptp.r2_hidden (tptp.k2_yellow_0 A C) D) (tptp.r1_xboole_0 C D))))) (tptp.r2_hidden (tptp.k2_yellow_0 A C) (tptp.k6_pre_topc A C))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v2_pre_topc A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_lattice3 A) (tptp.v1_waybel19 A) (tptp.l1_waybel_9 A)) (forall ((B $$unsorted)) (=> (and (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.v2_pre_topc B) (tptp.v1_lattice3 B) (tptp.v2_lattice3 B) (tptp.v3_lattice3 B) (tptp.v1_waybel19 B) (tptp.l1_waybel_9 B)) (forall ((C $$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) (tptp.v21_waybel_0 C A B)))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v2_pre_topc A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_lattice3 A) (tptp.v1_waybel19 A) (tptp.l1_waybel_9 A)) (forall ((B $$unsorted)) (=> (and (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.v2_pre_topc B) (tptp.v1_lattice3 B) (tptp.v2_lattice3 B) (tptp.v3_lattice3 B) (tptp.v1_waybel19 B) (tptp.l1_waybel_9 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.m2_relset_1 C _let_2 _let_1)) (=> (and (tptp.v5_pre_topc C A B) (forall ((D $$unsorted)) (=> (and (tptp.v1_finset_1 D) (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (tptp.r3_waybel_0 A B C D)))) (tptp.v17_waybel_0 C A B)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v2_pre_topc A) (tptp.v1_waybel19 A) (tptp.l1_waybel_9 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (= (tptp.k6_pre_topc A (tptp.k1_struct_0 A B)) (tptp.k7_waybel_0 A B)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.l1_orders_2 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))) (let ((_let_3 (tptp.k3_yellow_3 A B))) (=> (tptp.m1_subset_1 D _let_1) (= (tptp.k3_subset_1 (tptp.u1_struct_0 _let_3) (tptp.k7_waybel_0 _let_3 (tptp.k7_yellow_3 A B C D))) (tptp.k2_xboole_0 (tptp.k2_zfmisc_1 (tptp.k3_subset_1 _let_2 (tptp.k7_waybel_0 A C)) _let_1) (tptp.k2_zfmisc_1 _let_2 (tptp.k3_subset_1 _let_1 (tptp.k7_waybel_0 B D)))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_yellow_0 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.v1_yellow_0 B) (tptp.l1_orders_2 B)) (forall ((C $$unsorted)) (=> (and (tptp.v2_pre_topc C) (tptp.v1_waybel19 C) (tptp.m1_yellow_9 C A)) (forall ((D $$unsorted)) (=> (and (tptp.v2_pre_topc D) (tptp.v1_waybel19 D) (tptp.m1_yellow_9 D B)) (= (tptp.k1_waybel19 (tptp.k3_yellow_3 A B)) (tptp.u1_pre_topc (tptp.k6_borsuk_1 C D))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_yellow_0 A) (tptp.v2_pre_topc A) (tptp.v1_waybel19 A) (tptp.l1_waybel_9 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.v1_yellow_0 B) (tptp.v2_pre_topc B) (tptp.v1_waybel19 B) (tptp.l1_waybel_9 B)) (= (tptp.k1_waybel19 (tptp.k3_yellow_3 A B)) (tptp.u1_pre_topc (tptp.k6_borsuk_1 A B))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v2_pre_topc A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_lattice3 A) (tptp.v1_waybel19 A) (tptp.l1_waybel_9 A)) (forall ((B $$unsorted)) (=> (and (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.v2_pre_topc B) (tptp.v1_lattice3 B) (tptp.v2_lattice3 B) (tptp.v3_lattice3 B) (tptp.v1_waybel19 B) (tptp.l1_waybel_9 B)) (=> (tptp.m1_yellow_9 B (tptp.k3_yellow_3 A A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.u1_struct_0 B))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.m2_relset_1 C _let_2 _let_1)) (=> (= C (tptp.k4_waybel_2 A)) (tptp.v5_pre_topc C B A))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v4_orders_2 A) (tptp.v24_waybel_0 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_orders_2 B) (tptp.v4_orders_2 B) (tptp.v24_waybel_0 B) (tptp.l1_orders_2 B)) (=> (and (= (tptp.g1_orders_2 (tptp.u1_struct_0 A) (tptp.u1_orders_2 A)) (tptp.g1_orders_2 (tptp.u1_struct_0 B) (tptp.u1_orders_2 B))) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k1_waybel_3 A C))) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (and (tptp.v1_waybel_0 _let_1 A) (not (tptp.v1_xboole_0 _let_1)))))) (tptp.v2_waybel_3 A)) (tptp.v2_waybel_3 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 $$unsorted)) (=> (tptp.m3_yellow_9 C A B) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 C))) (=> (or (tptp.r2_hidden D (tptp.u1_pre_topc A)) (tptp.r2_hidden D (tptp.u1_pre_topc B))) (tptp.v3_pre_topc D 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 $$unsorted)) (=> (tptp.m3_yellow_9 C A B) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.k1_zfmisc_1 (tptp.u1_struct_0 C))) (=> (and (= E D) (tptp.v3_pre_topc D A)) (tptp.v3_pre_topc E C)))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (tptp.v2_pre_topc B) (tptp.l1_pre_topc B)) (=> (= (tptp.u1_struct_0 A) (tptp.u1_struct_0 B)) (forall ((C $$unsorted)) (=> (tptp.m3_yellow_9 C A B) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.k1_zfmisc_1 (tptp.u1_struct_0 C))) (=> (and (= E D) (tptp.v4_pre_topc D A)) (tptp.v4_pre_topc E C))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted) (C $$unsorted)) (=> (and (tptp.r1_tarski B C) (tptp.r1_tarski C (tptp.u1_pre_topc A))) (and (=> (tptp.m1_cantor_1 B A) (tptp.m1_cantor_1 C A)) (=> (tptp.m2_cantor_1 B A) (tptp.m2_cantor_1 C A))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_pre_topc B) (tptp.l1_pre_topc B)) (=> (= (tptp.u1_struct_0 A) (tptp.u1_struct_0 B)) (forall ((C $$unsorted)) (=> (tptp.m3_yellow_9 C A B) (forall ((D $$unsorted)) (=> (tptp.m2_cantor_1 D A) (forall ((E $$unsorted)) (=> (tptp.m2_cantor_1 E B) (tptp.m2_cantor_1 (tptp.k2_xboole_0 D E) 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 $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.v2_pre_topc C) (tptp.l1_pre_topc C)) (forall ((D $$unsorted)) (=> (and (not (tptp.v3_struct_0 D)) (tptp.v2_pre_topc D) (tptp.l1_pre_topc D)) (forall ((E $$unsorted)) (=> (tptp.m3_yellow_9 E A B) (forall ((F $$unsorted)) (=> (tptp.m3_yellow_9 F C D) (forall ((G $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 C))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 G) (tptp.v1_funct_2 G _let_2 _let_1) (tptp.m2_relset_1 G _let_2 _let_1)) (forall ((H $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 D))) (let ((_let_2 (tptp.u1_struct_0 B))) (=> (and (tptp.v1_funct_1 H) (tptp.v1_funct_2 H _let_2 _let_1) (tptp.m2_relset_1 H _let_2 _let_1)) (forall ((I $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 F))) (let ((_let_2 (tptp.u1_struct_0 E))) (=> (and (tptp.v1_funct_1 I) (tptp.v1_funct_2 I _let_2 _let_1) (tptp.m2_relset_1 I _let_2 _let_1)) (=> (and (= I G) (= I H) (tptp.v5_pre_topc G A C) (tptp.v5_pre_topc H B D)) (tptp.v5_pre_topc I E F)))))))))))))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m2_cantor_1 B A) (forall ((C $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.v3_orders_2 C) (tptp.v7_waybel_0 C) (tptp.l1_waybel_0 C A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (=> (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (and (tptp.r2_hidden D E) (tptp.r2_hidden E B)) (tptp.r1_waybel_0 A C E)))) (tptp.r2_hidden D (tptp.k11_yellow_6 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.v3_orders_2 B) (tptp.v7_waybel_0 B) (tptp.l1_waybel_0 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (tptp.r1_waybel_0 A B C) (tptp.r1_tarski (tptp.k11_yellow_6 A B) (tptp.k6_pre_topc A C))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k6_relat_1 B))) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (and (= (tptp.u1_waybel_0 A (tptp.k2_yellow_9 A B)) _let_1) (= (tptp.u1_waybel_0 A (tptp.k3_yellow_9 A B)) _let_1))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v4_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 B _let_1) (= (tptp.k5_subset_1 _let_1 (tptp.k7_waybel_0 A B) (tptp.k6_waybel_0 A B)) (tptp.k1_struct_0 A B))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.l1_waybel_9 A)) (= (tptp.v2_waybel19 A) (tptp.m2_cantor_1 (tptp.k4_subset_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)) (tptp.k1_waybel19 A) (tptp.k5_waybel11 A)) A)))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (tptp.v2_pre_topc B) (tptp.v1_waybel19 B) (tptp.m1_yellow_9 B A)) (forall ((C $$unsorted)) (=> (and (tptp.v4_waybel11 C) (tptp.m1_yellow_9 C A)) (forall ((D $$unsorted)) (=> (and (tptp.v2_pre_topc D) (tptp.m1_yellow_9 D A)) (= (tptp.v2_waybel19 D) (tptp.m3_yellow_9 D C B)))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (= (= B (tptp.k2_waybel19 A)) (forall ((C $$unsorted)) (=> (and (tptp.v2_pre_topc C) (tptp.v2_waybel19 C) (tptp.m1_yellow_9 C A)) (= B (tptp.u1_pre_topc C))))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_lattice3 A) (tptp.l1_orders_2 A)) (= (tptp.k2_waybel19 A) (tptp.k1_cantor_1 _let_1 (tptp.k2_cantor_1 _let_1 (tptp.k4_subset_1 (tptp.k1_zfmisc_1 _let_1) (tptp.k5_waybel11 A) (tptp.k1_waybel19 A)))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (tptp.v2_pre_topc B) (tptp.v1_waybel19 B) (tptp.m1_yellow_9 B A)) (forall ((C $$unsorted)) (=> (and (tptp.v2_pre_topc C) (tptp.v4_waybel11 C) (tptp.m1_yellow_9 C A)) (forall ((D $$unsorted)) (=> (tptp.m3_yellow_9 D C B) (= (tptp.k2_waybel19 A) (tptp.u1_pre_topc D)))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v24_waybel_0 A) (tptp.v2_pre_topc A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v1_waybel19 A) (tptp.l1_waybel_9 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (tptp.v3_pre_topc B A) (tptp.v3_waybel11 B A)))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v2_pre_topc A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_lattice3 A) (tptp.v2_waybel19 A) (tptp.l1_waybel_9 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (tptp.v3_pre_topc B A) (tptp.v3_waybel11 B A)))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v2_pre_topc A) (tptp.v4_waybel11 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_lattice3 A) (tptp.l1_waybel_9 A)) (forall ((B $$unsorted)) (=> (and (tptp.v2_pre_topc B) (tptp.v2_waybel19 B) (tptp.m1_yellow_9 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (tptp.v3_pre_topc C A) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B))) (=> (= D C) (tptp.v3_pre_topc D B))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v2_pre_topc A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_lattice3 A) (tptp.v2_waybel19 A) (tptp.l1_waybel_9 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (and (tptp.v4_pre_topc (tptp.k7_waybel_0 A B) A) (tptp.v4_pre_topc (tptp.k6_waybel_0 A B) A) (tptp.v4_pre_topc (tptp.k1_struct_0 A B) A)))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v2_pre_topc A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_lattice3 A) (tptp.v2_waybel19 A) (tptp.l1_waybel_9 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 B _let_1) (and (tptp.v3_pre_topc (tptp.k3_subset_1 _let_1 (tptp.k7_waybel_0 A B)) A) (tptp.v3_pre_topc (tptp.k3_subset_1 _let_1 (tptp.k6_waybel_0 A B)) A) (tptp.v3_pre_topc (tptp.k3_subset_1 _let_1 (tptp.k1_struct_0 A B)) A))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v2_pre_topc A) (tptp.v3_waybel_3 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_lattice3 A) (tptp.v2_waybel19 A) (tptp.l1_waybel_9 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k2_waybel_3 A B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 B _let_2) (and (tptp.v3_pre_topc _let_1 A) (tptp.v4_pre_topc (tptp.k3_subset_1 _let_2 _let_1) A)))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v2_pre_topc A) (tptp.v4_waybel11 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_lattice3 A) (tptp.l1_waybel_9 A)) (forall ((B $$unsorted)) (=> (and (tptp.v2_pre_topc B) (tptp.v2_waybel19 B) (tptp.m1_yellow_9 B A)) (forall ((C $$unsorted)) (=> (and (tptp.v13_waybel_0 C B) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B)))) (=> (tptp.v3_pre_topc C B) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (= D C) (tptp.v3_pre_topc D A))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v2_pre_topc A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_lattice3 A) (tptp.v2_waybel19 A) (tptp.l1_waybel_9 A)) (forall ((B $$unsorted)) (=> (and (tptp.v12_waybel_0 B A) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (= (tptp.v4_pre_topc B A) (tptp.v2_waybel11 B A)))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v2_pre_topc A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_lattice3 A) (tptp.v2_waybel19 A) (tptp.l1_waybel_9 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.v2_waybel_0 B A) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (= (tptp.k11_yellow_6 A (tptp.k3_yellow_9 A B)) (tptp.k1_struct_0 A (tptp.k2_yellow_0 A B))))))) (=> (and (exists ((A $$unsorted)) (and (tptp.m2_cantor_1 A tptp.f1_s1_waybel19) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 tptp.f1_s1_waybel19))) (=> (tptp.r2_hidden B A) (tptp.p1_s1_waybel19 B)))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 tptp.f1_s1_waybel19))) (=> (tptp.m1_subset_1 A (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 _let_1))) (=> (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 tptp.f1_s1_waybel19))) (=> (tptp.r2_hidden B A) (tptp.p1_s1_waybel19 B)))) (tptp.p1_s1_waybel19 (tptp.k5_setfam_1 _let_1 A)))))) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A (tptp.k1_zfmisc_1 (tptp.u1_struct_0 tptp.f1_s1_waybel19))) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 tptp.f1_s1_waybel19))) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 _let_1)) (=> (and (tptp.p1_s1_waybel19 A) (tptp.p1_s1_waybel19 B)) (tptp.p1_s1_waybel19 (tptp.k5_subset_1 _let_1 A B)))))))) (tptp.p1_s1_waybel19 (tptp.k2_pre_topc tptp.f1_s1_waybel19))) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A (tptp.k1_zfmisc_1 (tptp.u1_struct_0 tptp.f1_s1_waybel19))) (=> (tptp.v3_pre_topc A tptp.f1_s1_waybel19) (tptp.p1_s1_waybel19 A))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (tptp.m1_subset_1 (tptp.k1_waybel19 A) (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_lattice3 A) (tptp.l1_orders_2 A)) (tptp.m1_subset_1 (tptp.k2_waybel19 A) (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_waybel_9 A)) (= (tptp.v1_waybel19 A) (tptp.m2_cantor_1 (tptp.a_1_0_waybel19 A) A)))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_waybel_9 A)) (= (tptp.v1_waybel19 A) (tptp.m1_cantor_1 (tptp.a_1_1_waybel19 A) A)))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v2_pre_topc A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_lattice3 A) (tptp.v2_waybel19 A) (tptp.l1_waybel_9 A)) (tptp.m2_cantor_1 (tptp.k2_xboole_0 (tptp.k5_waybel11 A) (tptp.a_1_2_waybel19 A)) A))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v2_pre_topc A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_lattice3 A) (tptp.v2_waybel19 A) (tptp.l1_waybel_9 A)) (tptp.m2_cantor_1 (tptp.k2_xboole_0 (tptp.k5_waybel11 A) (tptp.a_1_3_waybel19 A)) A))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v2_pre_topc A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_lattice3 A) (tptp.v2_waybel19 A) (tptp.l1_waybel_9 A)) (tptp.m1_cantor_1 (tptp.a_1_4_waybel19 A) A))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.l1_waybel_9 B)) (= (tptp.r2_hidden A (tptp.a_1_0_waybel19 B)) (exists ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (and (tptp.m1_subset_1 C _let_1) (= A (tptp.k3_subset_1 _let_1 (tptp.k7_waybel_0 B C))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_pre_topc B) (tptp.l1_waybel_9 B)) (= (tptp.r2_hidden A (tptp.a_1_1_waybel19 B)) (exists ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (and (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 _let_1)) (= A (tptp.k3_subset_1 _let_1 (tptp.k5_waybel_0 B C))) (tptp.v1_finset_1 C))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.v2_pre_topc B) (tptp.v1_lattice3 B) (tptp.v2_lattice3 B) (tptp.v3_lattice3 B) (tptp.v2_waybel19 B) (tptp.l1_waybel_9 B)) (= (tptp.r2_hidden A (tptp.a_1_2_waybel19 B)) (exists ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (and (tptp.m1_subset_1 C _let_1) (= A (tptp.k3_subset_1 _let_1 (tptp.k7_waybel_0 B C))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.v2_pre_topc B) (tptp.v1_lattice3 B) (tptp.v2_lattice3 B) (tptp.v3_lattice3 B) (tptp.v2_waybel19 B) (tptp.l1_waybel_9 B)) (= (tptp.r2_hidden A (tptp.a_1_3_waybel19 B)) (exists ((C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (and (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 _let_1)) (tptp.m1_subset_1 D _let_1) (= A (tptp.k6_subset_1 _let_1 C (tptp.k7_waybel_0 B D))) (tptp.r2_hidden C (tptp.k5_waybel11 B)))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.v2_pre_topc B) (tptp.v1_lattice3 B) (tptp.v2_lattice3 B) (tptp.v3_lattice3 B) (tptp.v2_waybel19 B) (tptp.l1_waybel_9 B)) (= (tptp.r2_hidden A (tptp.a_1_4_waybel19 B)) (exists ((C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.k1_zfmisc_1 _let_1))) (and (tptp.m1_subset_1 C _let_2) (tptp.m1_subset_1 D _let_2) (= A (tptp.k6_subset_1 _let_1 C (tptp.k5_waybel_0 B D))) (tptp.r2_hidden C (tptp.k5_waybel11 B)) (tptp.v1_finset_1 D)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.l1_orders_2 A)) (exists ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (and (tptp.m1_relset_1 B _let_1 _let_1) (not (tptp.v1_xboole_0 B)) (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_1 _let_1) (tptp.v1_partfun1 B _let_1 _let_1) (tptp.v11_quantal1 B) (tptp.v5_orders_3 B A A) (tptp.v22_waybel_0 B A A) (tptp.v6_waybel_1 B A) (tptp.v8_waybel_1 B A)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.k6_partfun1 A))) (= (tptp.k1_funct_5 B) (tptp.k2_funct_5 B)))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k3_funct_2 (tptp.k2_zfmisc_1 A A) (tptp.k2_zfmisc_1 B B) (tptp.k16_funct_3 A A B B C C) (tptp.k6_partfun1 B)))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C A B) (tptp.m2_relset_1 C A B)) (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 $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k9_relat_1 (tptp.k15_funct_3 A B) C))) (and (tptp.r1_tarski (tptp.k1_funct_5 _let_1) (tptp.k9_relat_1 A (tptp.k1_funct_5 C))) (tptp.r1_tarski (tptp.k2_funct_5 _let_1) (tptp.k9_relat_1 B (tptp.k2_funct_5 C)))))))))) (forall ((A $$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)) (let ((_let_1 (tptp.k9_relat_1 (tptp.k15_funct_3 A B) C))) (=> (tptp.r1_tarski C (tptp.k2_zfmisc_1 (tptp.k1_relat_1 A) (tptp.k1_relat_1 B))) (and (= (tptp.k1_funct_5 _let_1) (tptp.k9_relat_1 A (tptp.k1_funct_5 C))) (= (tptp.k2_funct_5 _let_1) (tptp.k9_relat_1 B (tptp.k2_funct_5 C))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_orders_2 A) (tptp.l1_orders_2 A)) (=> (tptp.r2_yellow_0 A tptp.k1_xboole_0) (tptp.v2_yellow_0 A)))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_orders_2 A) (tptp.l1_orders_2 A)) (=> (tptp.r1_yellow_0 A tptp.k1_xboole_0) (tptp.v1_yellow_0 A)))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v4_orders_2 B) (tptp.l1_orders_2 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k3_yellow_3 A B))) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 _let_1))) (=> (tptp.r2_yellow_0 _let_1 C) (= (tptp.k2_yellow_0 _let_1 C) (tptp.k7_yellow_3 A B (tptp.k2_yellow_0 A (tptp.k4_yellow_3 A B C)) (tptp.k2_yellow_0 B (tptp.k5_yellow_3 A B C)))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v4_orders_2 B) (tptp.l1_orders_2 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k3_yellow_3 A B))) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 _let_1))) (=> (tptp.r1_yellow_0 _let_1 C) (= (tptp.k1_yellow_0 _let_1 C) (tptp.k7_yellow_3 A B (tptp.k1_yellow_0 A (tptp.k4_yellow_3 A B C)) (tptp.k1_yellow_0 B (tptp.k5_yellow_3 A B C)))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v4_orders_2 B) (tptp.l1_orders_2 B)) (forall ((C $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.v4_orders_2 C) (tptp.l1_orders_2 C)) (forall ((D $$unsorted)) (=> (and (not (tptp.v3_struct_0 D)) (tptp.v4_orders_2 D) (tptp.l1_orders_2 D)) (forall ((E $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 C))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 E) (tptp.v1_funct_2 E _let_2 _let_1) (tptp.m2_relset_1 E _let_2 _let_1)) (forall ((F $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 D))) (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)) (=> (and (tptp.v17_waybel_0 E A C) (tptp.v17_waybel_0 F B D)) (tptp.v17_waybel_0 (tptp.k1_waybel20 A B C D E F) (tptp.k3_yellow_3 A B) (tptp.k3_yellow_3 C D))))))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v4_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_orders_2 B) (tptp.v4_orders_2 B) (tptp.l1_orders_2 B)) (forall ((C $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.v2_orders_2 C) (tptp.v4_orders_2 C) (tptp.l1_orders_2 C)) (forall ((D $$unsorted)) (=> (and (not (tptp.v3_struct_0 D)) (tptp.v2_orders_2 D) (tptp.v4_orders_2 D) (tptp.l1_orders_2 D)) (forall ((E $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 C))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 E) (tptp.v1_funct_2 E _let_2 _let_1) (tptp.m2_relset_1 E _let_2 _let_1)) (forall ((F $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 D))) (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)) (=> (and (tptp.v21_waybel_0 E A C) (tptp.v21_waybel_0 F B D)) (tptp.v21_waybel_0 (tptp.k1_waybel20 A B C D E F) (tptp.k3_yellow_3 A B) (tptp.k3_yellow_3 C D))))))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v4_orders_2 B) (tptp.l1_orders_2 B)) (forall ((C $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.v4_orders_2 C) (tptp.l1_orders_2 C)) (forall ((D $$unsorted)) (=> (and (not (tptp.v3_struct_0 D)) (tptp.v4_orders_2 D) (tptp.l1_orders_2 D)) (forall ((E $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 C))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 E) (tptp.v1_funct_2 E _let_2 _let_1) (tptp.m2_relset_1 E _let_2 _let_1)) (forall ((F $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 D))) (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)) (=> (and (tptp.v18_waybel_0 E A C) (tptp.v18_waybel_0 F B D)) (tptp.v18_waybel_0 (tptp.k1_waybel20 A B C D E F) (tptp.k3_yellow_3 A B) (tptp.k3_yellow_3 C D))))))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v4_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_orders_2 B) (tptp.v4_orders_2 B) (tptp.l1_orders_2 B)) (forall ((C $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.v2_orders_2 C) (tptp.v4_orders_2 C) (tptp.l1_orders_2 C)) (forall ((D $$unsorted)) (=> (and (not (tptp.v3_struct_0 D)) (tptp.v2_orders_2 D) (tptp.v4_orders_2 D) (tptp.l1_orders_2 D)) (forall ((E $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 C))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 E) (tptp.v1_funct_2 E _let_2 _let_1) (tptp.m2_relset_1 E _let_2 _let_1)) (forall ((F $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 D))) (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)) (=> (and (tptp.v22_waybel_0 E A C) (tptp.v22_waybel_0 F B D)) (tptp.v22_waybel_0 (tptp.k1_waybel20 A B C D E F) (tptp.k3_yellow_3 A B) (tptp.k3_yellow_3 C D))))))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k6_partfun1 (tptp.u1_struct_0 A)))) (let ((_let_2 (tptp.k3_yellow_3 A A))) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 _let_2))) (=> (and (tptp.r1_tarski B _let_1) (tptp.r2_yellow_0 _let_2 B)) (tptp.r2_hidden (tptp.k2_yellow_0 _let_2 B) _let_1)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k6_partfun1 (tptp.u1_struct_0 A)))) (let ((_let_2 (tptp.k3_yellow_3 A A))) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 _let_2))) (=> (and (tptp.r1_tarski B _let_1) (tptp.r1_yellow_0 _let_2 B)) (tptp.r2_hidden (tptp.k1_yellow_0 _let_2 B) _let_1)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.l1_orders_2 B)) (=> (and (tptp.r5_waybel_1 A B) (tptp.v2_orders_2 A)) (tptp.v2_orders_2 B)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.l1_orders_2 B)) (=> (and (tptp.r5_waybel_1 A B) (tptp.v3_orders_2 A)) (tptp.v3_orders_2 B)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.l1_orders_2 B)) (=> (and (tptp.r5_waybel_1 A B) (tptp.v4_orders_2 A)) (tptp.v4_orders_2 B)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.l1_orders_2 B)) (=> (and (tptp.r5_waybel_1 A B) (tptp.v3_lattice3 A)) (tptp.v3_lattice3 B)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$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)) (=> (tptp.v17_waybel_0 B A A) (tptp.v17_waybel_0 (tptp.k2_waybel_1 A A B) A (tptp.k2_yellow_2 A A B)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$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)) (=> (tptp.v21_waybel_0 B A A) (tptp.v21_waybel_0 (tptp.k2_waybel_1 A A B) A (tptp.k2_yellow_2 A A B)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$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)) (=> (tptp.v18_waybel_0 B A A) (tptp.v18_waybel_0 (tptp.k2_waybel_1 A A B) A (tptp.k2_yellow_2 A A B)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$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)) (=> (tptp.v22_waybel_0 B A A) (tptp.v22_waybel_0 (tptp.k2_waybel_1 A A B) A (tptp.k2_yellow_2 A A B)))))))) true (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v4_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_orders_2 B) (tptp.v4_orders_2 B) (tptp.l1_orders_2 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.m2_relset_1 C _let_2 _let_1)) (=> (tptp.v21_waybel_0 C A B) (tptp.v5_orders_3 C A B)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.l1_orders_2 B)) (forall ((C $$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_orders_3 C A B) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (tptp.v2_waybel_0 D A) (tptp.v2_waybel_0 (tptp.k4_pre_topc A B C D) B))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.l1_orders_2 B)) (forall ((C $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.l1_orders_2 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.v17_waybel_0 D A B) (tptp.v17_waybel_0 E B C)) (tptp.v17_waybel_0 (tptp.k7_funct_2 (tptp.u1_struct_0 A) _let_2 _let_1 D E) A C)))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v4_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_orders_2 B) (tptp.v4_orders_2 B) (tptp.l1_orders_2 B)) (forall ((C $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.v2_orders_2 C) (tptp.v4_orders_2 C) (tptp.l1_orders_2 C)) (forall ((D $$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 $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 C))) (let ((_let_2 (tptp.u1_struct_0 B))) (=> (and (tptp.v1_funct_1 E) (tptp.v1_funct_2 E _let_2 _let_1) (tptp.m2_relset_1 E _let_2 _let_1)) (=> (and (tptp.v21_waybel_0 D A B) (tptp.v21_waybel_0 E B C)) (tptp.v21_waybel_0 (tptp.k7_funct_2 (tptp.u1_struct_0 A) _let_2 _let_1 D E) A C)))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.l1_orders_2 B)) (forall ((C $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.l1_orders_2 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.v18_waybel_0 D A B) (tptp.v18_waybel_0 E B C)) (tptp.v18_waybel_0 (tptp.k7_funct_2 (tptp.u1_struct_0 A) _let_2 _let_1 D E) A C)))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v4_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_orders_2 B) (tptp.v4_orders_2 B) (tptp.l1_orders_2 B)) (forall ((C $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.v2_orders_2 C) (tptp.v4_orders_2 C) (tptp.l1_orders_2 C)) (forall ((D $$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 $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 C))) (let ((_let_2 (tptp.u1_struct_0 B))) (=> (and (tptp.v1_funct_1 E) (tptp.v1_funct_2 E _let_2 _let_1) (tptp.m2_relset_1 E _let_2 _let_1)) (=> (and (tptp.v22_waybel_0 D A B) (tptp.v22_waybel_0 E B C)) (tptp.v22_waybel_0 (tptp.k7_funct_2 (tptp.u1_struct_0 A) _let_2 _let_1 D E) A C)))))))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_yellow_1 B) (tptp.v4_waybel_3 B) (tptp.m1_pboole B A)) (=> (forall ((C $$unsorted)) (let ((_let_1 (tptp.k3_waybel_3 A B C))) (=> (tptp.m1_subset_1 C A) (and (tptp.v4_orders_2 _let_1) (tptp.v1_yellow_0 _let_1) (tptp.l1_orders_2 _let_1))))) (tptp.v1_yellow_0 (tptp.k5_yellow_1 A B))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_yellow_1 B) (tptp.v4_waybel_3 B) (tptp.m1_pboole B A)) (=> (forall ((C $$unsorted)) (let ((_let_1 (tptp.k3_waybel_3 A B C))) (=> (tptp.m1_subset_1 C A) (and (tptp.v4_orders_2 _let_1) (tptp.v2_yellow_0 _let_1) (tptp.l1_orders_2 _let_1))))) (tptp.v2_yellow_0 (tptp.k5_yellow_1 A B))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_yellow_1 B) (tptp.v4_waybel_3 B) (tptp.m1_pboole B A)) (=> (forall ((C $$unsorted)) (let ((_let_1 (tptp.k3_waybel_3 A B C))) (=> (tptp.m1_subset_1 C A) (and (tptp.v4_orders_2 _let_1) (tptp.v1_yellow_0 _let_1) (tptp.l1_orders_2 _let_1))))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C A) (= (tptp.k4_waybel_3 A B (tptp.k3_yellow_0 (tptp.k5_yellow_1 A B)) C) (tptp.k3_yellow_0 (tptp.k3_waybel_3 A B C)))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_yellow_1 B) (tptp.v4_waybel_3 B) (tptp.m1_pboole B A)) (=> (forall ((C $$unsorted)) (let ((_let_1 (tptp.k3_waybel_3 A B C))) (=> (tptp.m1_subset_1 C A) (and (tptp.v4_orders_2 _let_1) (tptp.v2_yellow_0 _let_1) (tptp.l1_orders_2 _let_1))))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C A) (= (tptp.k4_waybel_3 A B (tptp.k4_yellow_0 (tptp.k5_yellow_1 A B)) C) (tptp.k4_yellow_0 (tptp.k3_waybel_3 A B C)))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_yellow_1 B) (tptp.v4_waybel_3 B) (tptp.v5_waybel_3 B) (tptp.m1_pboole B A)) (=> (forall ((C $$unsorted)) (let ((_let_1 (tptp.k6_waybel_3 A B C))) (=> (tptp.m1_subset_1 C A) (and (tptp.v2_orders_2 _let_1) (tptp.v3_orders_2 _let_1) (tptp.v4_orders_2 _let_1) (tptp.v1_lattice3 _let_1) (tptp.v2_lattice3 _let_1) (tptp.v3_lattice3 _let_1) (tptp.v3_waybel_3 _let_1) (tptp.l1_orders_2 _let_1))))) (tptp.v3_waybel_3 (tptp.k5_yellow_1 A B))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_lattice3 A) (tptp.v3_waybel_3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.v1_lattice3 B) (tptp.v2_lattice3 B) (tptp.v3_lattice3 B) (tptp.v3_waybel_3 B) (tptp.l1_orders_2 B)) (forall ((C $$unsorted)) (=> (tptp.m1_waybel16 C A B) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k3_yellow_3 A A))) (let ((_let_2 (tptp.k5_yellow_0 _let_1 D))) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 _let_1))) (=> (= D (tptp.k5_pre_topc _let_1 (tptp.k3_yellow_3 B B) (tptp.k1_waybel20 A A B B C C) (tptp.k6_partfun1 (tptp.u1_struct_0 B)))) (and (not (tptp.v3_struct_0 _let_2)) (tptp.v4_yellow_0 _let_2 _let_1) (tptp.v7_yellow_0 _let_2 _let_1) (tptp.v4_waybel_0 _let_2 _let_1) (tptp.m1_yellow_0 _let_2 _let_1))))))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_orders_2 A) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 (tptp.k3_yellow_3 A A)))) (=> (and (tptp.v3_relat_2 B) (tptp.v8_relat_2 B) (tptp.v1_partfun1 B _let_1 _let_1) (tptp.m2_relset_1 B _let_1 _let_1)) (= (tptp.k2_waybel20 A B) B))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k3_yellow_3 A A))) (let ((_let_2 (tptp.k5_yellow_0 _let_1 B))) (let ((_let_3 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 _let_1))) (= (tptp.v1_waybel20 B A) (and (tptp.v3_relat_2 B) (tptp.v8_relat_2 B) (tptp.v1_partfun1 B _let_3 _let_3) (tptp.m2_relset_1 B _let_3 _let_3) (not (tptp.v3_struct_0 _let_2)) (tptp.v4_yellow_0 _let_2 _let_1) (tptp.v7_yellow_0 _let_2 _let_1) (tptp.v4_waybel_0 _let_2 _let_1) (tptp.m1_yellow_0 _let_2 _let_1)))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 (tptp.k3_yellow_3 A A))))) (=> (tptp.v1_waybel20 B A) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 C _let_1) (tptp.r2_hidden (tptp.k7_yellow_3 A A (tptp.k2_yellow_0 A (tptp.k6_eqrel_1 _let_1 (tptp.k2_waybel20 A B) C)) C) B))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 (tptp.k3_yellow_3 A A))))) (=> (tptp.v1_waybel20 B A) (forall ((C $$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.v8_waybel_1 C A) (tptp.m2_relset_1 C _let_1 _let_1)) (= (= C (tptp.k3_waybel20 A B)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 D _let_1) (= (tptp.k1_waybel_0 A A C D) (tptp.k2_yellow_0 A (tptp.k6_eqrel_1 _let_1 (tptp.k2_waybel20 A B) D))))))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k3_waybel20 A B))) (let ((_let_2 (tptp.k3_yellow_3 A A))) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 _let_2)))) (=> (tptp.v1_waybel20 B A) (and (tptp.v22_waybel_0 _let_1 A A) (= B (tptp.k5_pre_topc _let_2 _let_2 (tptp.k1_waybel20 A A A A _let_1 _let_1) (tptp.k6_partfun1 (tptp.u1_struct_0 A)))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_lattice3 A) (tptp.v3_waybel_3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k3_yellow_3 A A))) (let ((_let_2 (tptp.k5_yellow_0 _let_1 B))) (let ((_let_3 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 _let_1))) (=> (and (tptp.v3_relat_2 B) (tptp.v8_relat_2 B) (tptp.v1_partfun1 B _let_3 _let_3) (tptp.m2_relset_1 B _let_3 _let_3)) (or (forall ((C $$unsorted)) (=> (and (tptp.v2_orders_2 C) (tptp.v3_orders_2 C) (tptp.v4_orders_2 C) (tptp.v1_lattice3 C) (tptp.v2_lattice3 C) (tptp.v3_lattice3 C) (tptp.v3_waybel_3 C) (tptp.l1_orders_2 C)) (not (and (= (tptp.u1_struct_0 C) (tptp.k8_eqrel_1 (tptp.u1_struct_0 A) (tptp.k2_waybel20 A B))) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 C))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D _let_2 _let_1) (tptp.m2_relset_1 D _let_2 _let_1)) (=> (forall ((E $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 E _let_1) (= (tptp.k1_waybel_0 A C D E) (tptp.k6_eqrel_1 _let_1 (tptp.k2_waybel20 A B) E))))) (tptp.m1_waybel16 D A C)))))))))) (and (not (tptp.v3_struct_0 _let_2)) (tptp.v4_yellow_0 _let_2 _let_1) (tptp.v7_yellow_0 _let_2 _let_1) (tptp.v4_waybel_0 _let_2 _let_1) (tptp.m1_yellow_0 _let_2 _let_1))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.k3_yellow_3 A A))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_1 _let_1) (tptp.v8_waybel_1 B A) (tptp.m2_relset_1 B _let_1 _let_1)) (= (tptp.k4_waybel20 A B) (tptp.k5_pre_topc _let_2 _let_2 (tptp.k1_waybel20 A A A A B B) (tptp.k6_partfun1 _let_1))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.k4_waybel20 A B))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_1 _let_1) (tptp.v8_waybel_1 B A) (tptp.m2_relset_1 B _let_1 _let_1)) (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 $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_lattice3 A) (tptp.v3_waybel_3 A) (tptp.l1_orders_2 A)) (forall ((B $$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.v22_waybel_0 B A A) (tptp.v8_waybel_1 B A) (tptp.m2_relset_1 B _let_1 _let_1)) (tptp.v1_waybel20 (tptp.k4_waybel20 A B) A)))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_lattice3 A) (tptp.v3_waybel_3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 (tptp.k3_yellow_3 A A))))) (=> (tptp.v1_waybel20 B A) (forall ((C $$unsorted)) (=> (and (tptp.v1_orders_2 C) (tptp.v2_orders_2 C) (tptp.v3_orders_2 C) (tptp.v4_orders_2 C) (tptp.v1_lattice3 C) (tptp.v2_lattice3 C) (tptp.v3_lattice3 C) (tptp.v3_waybel_3 C) (tptp.l1_orders_2 C)) (= (= C (tptp.k5_waybel20 A B)) (and (= (tptp.u1_struct_0 C) (tptp.k8_eqrel_1 (tptp.u1_struct_0 A) (tptp.k2_waybel20 A B))) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 C)) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.u1_struct_0 C)) (= (tptp.r3_orders_2 C D E) (tptp.r3_orders_2 A (tptp.k2_yellow_0 A D) (tptp.k2_yellow_0 A E)))))))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_lattice3 A) (tptp.v3_waybel_3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 (tptp.k3_yellow_3 A A))))) (=> (tptp.v1_waybel20 B A) (forall ((C $$unsorted)) (= (tptp.m1_subset_1 C (tptp.u1_struct_0 (tptp.k5_waybel20 A B))) (exists ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (and (tptp.m1_subset_1 D _let_1) (= C (tptp.k6_eqrel_1 _let_1 (tptp.k2_waybel20 A B) D)))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_lattice3 A) (tptp.v3_waybel_3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 (tptp.k3_yellow_3 A A))))) (=> (tptp.v1_waybel20 B A) (= B (tptp.k4_waybel20 A (tptp.k3_waybel20 A B)))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_lattice3 A) (tptp.v3_waybel_3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_1 _let_1) (tptp.v22_waybel_0 B A A) (tptp.v8_waybel_1 B A) (tptp.m2_relset_1 B _let_1 _let_1)) (= B (tptp.k3_waybel20 A (tptp.k4_waybel20 A B)))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_lattice3 A) (tptp.v3_waybel_3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k2_yellow_2 A A B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_2 _let_2) (tptp.v6_waybel_1 B A) (tptp.m2_relset_1 B _let_2 _let_2)) (=> (tptp.v17_waybel_0 B A A) (and (tptp.v2_orders_2 _let_1) (tptp.v3_orders_2 _let_1) (tptp.v4_orders_2 _let_1) (tptp.v1_lattice3 _let_1) (tptp.v2_lattice3 _let_1) (tptp.v3_waybel_3 _let_1) (tptp.l1_orders_2 _let_1) (tptp.v7_yellow_0 _let_1 A))))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 (tptp.k3_yellow_3 C D)))) (let ((_let_2 (tptp.u1_struct_0 (tptp.k3_yellow_3 A B)))) (let ((_let_3 (tptp.k1_waybel20 A B C D E F))) (let ((_let_4 (tptp.u1_struct_0 D))) (let ((_let_5 (tptp.u1_struct_0 B))) (let ((_let_6 (tptp.u1_struct_0 C))) (let ((_let_7 (tptp.u1_struct_0 A))) (=> (and (tptp.l1_orders_2 A) (tptp.l1_orders_2 B) (tptp.l1_orders_2 C) (tptp.l1_orders_2 D) (tptp.v1_funct_1 E) (tptp.v1_funct_2 E _let_7 _let_6) (tptp.m1_relset_1 E _let_7 _let_6) (tptp.v1_funct_1 F) (tptp.v1_funct_2 F _let_5 _let_4) (tptp.m1_relset_1 F _let_5 _let_4)) (and (tptp.v1_funct_1 _let_3) (tptp.v1_funct_2 _let_3 _let_2 _let_1) (tptp.m2_relset_1 _let_3 _let_2 _let_1))))))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 D))) (let ((_let_2 (tptp.u1_struct_0 B))) (let ((_let_3 (tptp.u1_struct_0 C))) (let ((_let_4 (tptp.u1_struct_0 A))) (=> (and (tptp.l1_orders_2 A) (tptp.l1_orders_2 B) (tptp.l1_orders_2 C) (tptp.l1_orders_2 D) (tptp.v1_funct_1 E) (tptp.v1_funct_2 E _let_4 _let_3) (tptp.m1_relset_1 E _let_4 _let_3) (tptp.v1_funct_1 F) (tptp.v1_funct_2 F _let_2 _let_1) (tptp.m1_relset_1 F _let_2 _let_1)) (= (tptp.k1_waybel20 A B C D E F) (tptp.k15_funct_3 E F)))))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.k2_waybel20 A B))) (=> (and (tptp.l1_orders_2 A) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 (tptp.k3_yellow_3 A A))))) (and (tptp.v3_relat_2 _let_2) (tptp.v8_relat_2 _let_2) (tptp.v1_partfun1 _let_2 _let_1 _let_1) (tptp.m2_relset_1 _let_2 _let_1 _let_1)))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.k3_waybel20 A B))) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_lattice3 A) (tptp.l1_orders_2 A) (not (tptp.v1_xboole_0 B)) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 (tptp.k3_yellow_3 A A))))) (and (tptp.v1_funct_1 _let_2) (tptp.v1_funct_2 _let_2 _let_1 _let_1) (tptp.v8_waybel_1 _let_2 A) (tptp.m2_relset_1 _let_2 _let_1 _let_1)))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k4_waybel20 A B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.l1_orders_2 A) (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_2 _let_2) (tptp.v8_waybel_1 B A) (tptp.m1_relset_1 B _let_2 _let_2)) (and (not (tptp.v1_xboole_0 _let_1)) (tptp.m1_subset_1 _let_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 (tptp.k3_yellow_3 A A))))))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k5_waybel20 A B))) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_lattice3 A) (tptp.v3_waybel_3 A) (tptp.l1_orders_2 A) (not (tptp.v1_xboole_0 B)) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 (tptp.k3_yellow_3 A A))))) (and (tptp.v1_orders_2 _let_1) (tptp.v2_orders_2 _let_1) (tptp.v3_orders_2 _let_1) (tptp.v4_orders_2 _let_1) (tptp.v1_lattice3 _let_1) (tptp.v2_lattice3 _let_1) (tptp.v3_lattice3 _let_1) (tptp.v3_waybel_3 _let_1) (tptp.l1_orders_2 _let_1))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_lattice3 A) (tptp.v3_waybel_3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 (tptp.k3_yellow_3 A A)))) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.k3_yellow_3 A A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_1 _let_1) (tptp.v8_waybel_1 C A) (tptp.m2_relset_1 C _let_1 _let_1)) (not (and (tptp.v22_waybel_0 C A A) (= B (tptp.k5_pre_topc _let_2 _let_2 (tptp.k1_waybel20 A A A A C C) (tptp.k6_partfun1 _let_1))) (forall ((D $$unsorted)) (=> (and (tptp.v1_orders_2 D) (tptp.v2_orders_2 D) (tptp.v3_orders_2 D) (tptp.v4_orders_2 D) (tptp.v1_lattice3 D) (tptp.v2_lattice3 D) (tptp.v3_lattice3 D) (tptp.v3_waybel_3 D) (tptp.l1_orders_2 D)) (not (and (= (tptp.u1_struct_0 D) (tptp.k8_eqrel_1 (tptp.u1_struct_0 A) (tptp.k2_waybel20 A B))) (= (tptp.u1_orders_2 D) (tptp.a_3_0_waybel20 A B C)) (forall ((E $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 D))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 E) (tptp.v1_funct_2 E _let_2 _let_1) (tptp.m2_relset_1 E _let_2 _let_1)) (=> (forall ((F $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 F _let_1) (= (tptp.k1_waybel_0 A D E F) (tptp.k6_eqrel_1 _let_1 (tptp.k2_waybel20 A B) F))))) (tptp.m1_waybel16 E A D)))))))))))))))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (=> (and (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.v1_lattice3 B) (tptp.v2_lattice3 B) (tptp.v3_lattice3 B) (tptp.v3_waybel_3 B) (tptp.l1_orders_2 B) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 (tptp.k3_yellow_3 B B)))) (tptp.v1_funct_1 D) (tptp.v1_funct_2 D _let_1 _let_1) (tptp.v8_waybel_1 D B) (tptp.m2_relset_1 D _let_1 _let_1)) (= (tptp.r2_hidden A (tptp.a_3_0_waybel20 B C D)) (exists ((E $$unsorted) (F $$unsorted)) (let ((_let_1 (tptp.k2_waybel20 B C))) (let ((_let_2 (tptp.u1_struct_0 B))) (let ((_let_3 (tptp.k1_zfmisc_1 _let_2))) (and (tptp.m1_subset_1 E _let_2) (tptp.m1_subset_1 F _let_2) (= A (tptp.k1_domain_1 _let_3 _let_3 (tptp.k6_eqrel_1 _let_2 _let_1 E) (tptp.k6_eqrel_1 _let_2 _let_1 F))) (tptp.r3_orders_2 B (tptp.k1_waybel_0 B B D E) (tptp.k1_waybel_0 B B D F))))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 A) (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.v2_lattice3 B) (tptp.l1_orders_2 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (let ((_let_3 (tptp.v1_funct_2 C _let_2 _let_1))) (let ((_let_4 (tptp.v1_funct_1 C))) (=> (tptp.m1_relset_1 C _let_2 _let_1) (=> (and _let_4 _let_3 (tptp.v19_waybel_0 C A B)) (and _let_4 _let_3 (tptp.v5_orders_3 C A B))))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 A) (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.v2_yellow_0 B) (tptp.v2_lattice3 B) (tptp.l1_orders_2 B)) (forall ((C $$unsorted)) (=> (tptp.m1_waybel21 C A B) (and (tptp.v1_relat_1 C) (tptp.v19_waybel_0 C A B)))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_lattice3 A) (tptp.l1_orders_2 A)) (exists ((B $$unsorted)) (and (tptp.m1_yellow_0 B A) (not (tptp.v3_struct_0 B)) (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.v1_yellow_0 B) (tptp.v2_yellow_0 B) (tptp.v3_yellow_0 B) (tptp.v4_yellow_0 B A) (tptp.v5_yellow_0 B A) (tptp.v7_yellow_0 B A) (tptp.v3_waybel_0 B A) (tptp.v4_waybel_0 B A) (tptp.v24_waybel_0 B) (tptp.v25_waybel_0 B) (tptp.v1_lattice3 B) (tptp.v2_lattice3 B) (tptp.v3_lattice3 B))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k3_yellow_9 A (tptp.k1_struct_0 A B)))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.l1_orders_2 A) (tptp.m1_subset_1 B (tptp.u1_struct_0 A))) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v2_orders_2 _let_1) (tptp.v3_orders_2 _let_1) (tptp.v6_waybel_0 _let_1 A) (tptp.v7_waybel_0 _let_1) (tptp.v8_waybel_0 _let_1 A) (tptp.v9_waybel_0 _let_1 A) (tptp.v10_waybel_0 _let_1 A) (tptp.v11_waybel_0 _let_1 A))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.l1_orders_2 A)) (exists ((B $$unsorted)) (and (tptp.l1_waybel_0 B A) (not (tptp.v3_struct_0 B)) (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v6_waybel_0 B A) (tptp.v7_waybel_0 B) (tptp.v8_waybel_0 B A) (tptp.v9_waybel_0 B A) (tptp.v10_waybel_0 B A) (tptp.v11_waybel_0 B A))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k3_yellow_9 A B))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A) (not (tptp.v1_xboole_0 B)) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v6_waybel_0 _let_1 A) (tptp.v9_waybel_0 _let_1 A))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k7_waybel_9 A B C D))) (let ((_let_2 (tptp.u1_struct_0 B))) (let ((_let_3 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.l1_orders_2 A) (not (tptp.v3_struct_0 B)) (tptp.v2_orders_2 B) (tptp.l1_orders_2 B) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_3 _let_2) (tptp.v5_orders_3 C A B) (tptp.m1_relset_1 C _let_3 _let_2) (not (tptp.v3_struct_0 D)) (tptp.v9_waybel_0 D A) (tptp.l1_waybel_0 D A)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v6_waybel_0 _let_1 B) (tptp.v9_waybel_0 _let_1 B))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.v2_lattice3 B) (tptp.l1_orders_2 B)) (=> (=> (tptp.v2_yellow_0 A) (tptp.v2_yellow_0 B)) (forall ((C $$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)) (= (tptp.m1_waybel21 C A B) (forall ((D $$unsorted)) (=> (and (tptp.v1_finset_1 D) (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (tptp.r3_waybel_0 A B C D))))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v2_yellow_0 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.v2_yellow_0 B) (tptp.v2_lattice3 B) (tptp.l1_orders_2 B)) (forall ((C $$unsorted)) (=> (tptp.m1_waybel21 C A B) (= (tptp.k3_yellow_6 (tptp.u1_struct_0 A) B C (tptp.k4_yellow_0 A)) (tptp.k4_yellow_0 B)))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.v2_lattice3 B) (tptp.l1_orders_2 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.m2_relset_1 C _let_2 _let_1)) (=> (tptp.v19_waybel_0 C A B) (forall ((D $$unsorted)) (=> (and (not (tptp.v1_xboole_0 D)) (tptp.v1_finset_1 D) (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (tptp.r3_waybel_0 A B C D)))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v2_yellow_0 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.v2_yellow_0 B) (tptp.v2_lattice3 B) (tptp.l1_orders_2 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.u1_struct_0 B))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_1 _let_2) (tptp.v19_waybel_0 C A B) (tptp.m2_relset_1 C _let_1 _let_2)) (=> (= (tptp.k3_yellow_6 _let_1 B C (tptp.k4_yellow_0 A)) (tptp.k4_yellow_0 B)) (tptp.m1_waybel21 C A B)))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.v2_lattice3 B) (tptp.l1_orders_2 B)) (forall ((C $$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.v19_waybel_0 C A B) (forall ((D $$unsorted)) (=> (and (not (tptp.v1_xboole_0 D)) (tptp.v2_waybel_0 D A) (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (tptp.r3_waybel_0 A B C D)))) (forall ((D $$unsorted)) (=> (and (not (tptp.v1_xboole_0 D)) (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (tptp.r3_waybel_0 A B C D)))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.v2_lattice3 B) (tptp.l1_orders_2 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.m2_relset_1 C _let_2 _let_1)) (=> (tptp.v17_waybel_0 C A B) (tptp.m1_waybel21 C A B)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.l1_orders_2 B)) (forall ((C $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.l1_orders_2 C)) (forall ((D $$unsorted)) (=> (and (not (tptp.v3_struct_0 D)) (tptp.l1_orders_2 D)) (=> (and (= (tptp.g1_orders_2 (tptp.u1_struct_0 A) (tptp.u1_orders_2 A)) (tptp.g1_orders_2 (tptp.u1_struct_0 C) (tptp.u1_orders_2 C))) (= (tptp.g1_orders_2 (tptp.u1_struct_0 B) (tptp.u1_orders_2 B)) (tptp.g1_orders_2 (tptp.u1_struct_0 D) (tptp.u1_orders_2 D)))) (forall ((E $$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.m2_relset_1 E _let_2 _let_1)) (forall ((F $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 D))) (let ((_let_2 (tptp.u1_struct_0 C))) (=> (and (tptp.v1_funct_1 F) (tptp.v1_funct_2 F _let_2 _let_1) (tptp.m2_relset_1 F _let_2 _let_1)) (=> (= E F) (and (=> (tptp.v17_waybel_0 E A B) (tptp.v17_waybel_0 F C D)) (=> (tptp.v22_waybel_0 E A B) (tptp.v22_waybel_0 F C D))))))))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.l1_orders_2 B)) (forall ((C $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.l1_orders_2 C)) (forall ((D $$unsorted)) (=> (and (not (tptp.v3_struct_0 D)) (tptp.l1_orders_2 D)) (=> (and (= (tptp.g1_orders_2 (tptp.u1_struct_0 A) (tptp.u1_orders_2 A)) (tptp.g1_orders_2 (tptp.u1_struct_0 C) (tptp.u1_orders_2 C))) (= (tptp.g1_orders_2 (tptp.u1_struct_0 B) (tptp.u1_orders_2 B)) (tptp.g1_orders_2 (tptp.u1_struct_0 D) (tptp.u1_orders_2 D)))) (forall ((E $$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.m2_relset_1 E _let_2 _let_1)) (forall ((F $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 D))) (let ((_let_2 (tptp.u1_struct_0 C))) (=> (and (tptp.v1_funct_1 F) (tptp.v1_funct_2 F _let_2 _let_1) (tptp.m2_relset_1 F _let_2 _let_1)) (=> (= E F) (and (=> (tptp.v18_waybel_0 E A B) (tptp.v18_waybel_0 F C D)) (=> (tptp.v21_waybel_0 E A B) (tptp.v21_waybel_0 F C D))))))))))))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v4_yellow_0 B A) (tptp.v7_yellow_0 B A) (tptp.m1_yellow_0 B A)) (tptp.v17_waybel_0 (tptp.k1_yellow_9 A B) B A))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v4_yellow_0 B A) (tptp.v8_yellow_0 B A) (tptp.m1_yellow_0 B A)) (tptp.v18_waybel_0 (tptp.k1_yellow_9 A B) B A))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v24_waybel_0 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v4_yellow_0 B A) (tptp.v4_waybel_0 B A) (tptp.m1_yellow_0 B A)) (tptp.v22_waybel_0 (tptp.k1_yellow_9 A B) B A))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v4_yellow_0 B A) (tptp.v3_waybel_0 B A) (tptp.m1_yellow_0 B A)) (tptp.v21_waybel_0 (tptp.k1_yellow_9 A B) B A))))) (forall ((A $$unsorted)) (=> (tptp.l1_orders_2 A) (forall ((B $$unsorted)) (=> (tptp.l1_orders_2 B) (forall ((C $$unsorted)) (=> (tptp.l1_orders_2 C) (forall ((D $$unsorted)) (let ((_let_1 (tptp.m1_yellow_0 C B))) (=> (tptp.m1_yellow_0 D A) (=> (and (= (tptp.g1_orders_2 (tptp.u1_struct_0 A) (tptp.u1_orders_2 A)) (tptp.g1_orders_2 (tptp.u1_struct_0 B) (tptp.u1_orders_2 B))) (= (tptp.g1_orders_2 (tptp.u1_struct_0 D) (tptp.u1_orders_2 D)) (tptp.g1_orders_2 (tptp.u1_struct_0 C) (tptp.u1_orders_2 C)))) (and _let_1 (=> (tptp.v4_yellow_0 D A) (and (tptp.v4_yellow_0 C B) _let_1))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (and (tptp.v4_yellow_0 A A) (tptp.v7_yellow_0 A A) (tptp.v8_yellow_0 A A) (tptp.m1_yellow_0 A A)))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v4_yellow_0 B A) (tptp.m1_yellow_0 B A)) (= (tptp.v5_yellow_0 B A) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (=> (and (not (tptp.v1_xboole_0 C)) (tptp.v1_finset_1 C) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 _let_1))) (tptp.r2_hidden (tptp.k2_yellow_0 A C) _let_1))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v4_yellow_0 B A) (tptp.m1_yellow_0 B A)) (= (tptp.v6_yellow_0 B A) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (=> (and (not (tptp.v1_xboole_0 C)) (tptp.v1_finset_1 C) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 _let_1))) (tptp.r2_hidden (tptp.k1_yellow_0 A C) _let_1))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v2_yellow_0 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v4_yellow_0 B A) (tptp.v5_yellow_0 B A) (tptp.m1_yellow_0 B A)) (=> (and (tptp.r2_hidden (tptp.k4_yellow_0 A) (tptp.u1_struct_0 B)) (tptp.v3_waybel_0 B A)) (tptp.v7_yellow_0 B A)))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_yellow_0 A) (tptp.v1_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v4_yellow_0 B A) (tptp.v6_yellow_0 B A) (tptp.m1_yellow_0 B A)) (=> (and (tptp.r2_hidden (tptp.k3_yellow_0 A) (tptp.u1_struct_0 B)) (tptp.v4_waybel_0 B A)) (tptp.v8_yellow_0 B A)))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v4_yellow_0 B A) (tptp.m1_yellow_0 B A)) (=> (tptp.v7_yellow_0 B A) (tptp.v3_lattice3 B)))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v4_yellow_0 B A) (tptp.m1_yellow_0 B A)) (=> (tptp.v8_yellow_0 B A) (tptp.v3_lattice3 B)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.l1_orders_2 B)) (forall ((C $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.v4_yellow_0 C A) (tptp.m1_yellow_0 C A)) (forall ((D $$unsorted)) (=> (and (not (tptp.v3_struct_0 D)) (tptp.v4_yellow_0 D B) (tptp.m1_yellow_0 D B)) (=> (and (= (tptp.g1_orders_2 (tptp.u1_struct_0 A) (tptp.u1_orders_2 A)) (tptp.g1_orders_2 (tptp.u1_struct_0 B) (tptp.u1_orders_2 B))) (= (tptp.u1_struct_0 C) (tptp.u1_struct_0 D)) (tptp.v7_yellow_0 C A)) (tptp.v7_yellow_0 D B)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.l1_orders_2 B)) (forall ((C $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.v4_yellow_0 C A) (tptp.m1_yellow_0 C A)) (forall ((D $$unsorted)) (=> (and (not (tptp.v3_struct_0 D)) (tptp.v4_yellow_0 D B) (tptp.m1_yellow_0 D B)) (=> (and (= (tptp.g1_orders_2 (tptp.u1_struct_0 A) (tptp.u1_orders_2 A)) (tptp.g1_orders_2 (tptp.u1_struct_0 B) (tptp.u1_orders_2 B))) (= (tptp.u1_struct_0 C) (tptp.u1_struct_0 D)) (tptp.v8_yellow_0 C A)) (tptp.v8_yellow_0 D B)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.l1_orders_2 B)) (forall ((C $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.v4_yellow_0 C A) (tptp.m1_yellow_0 C A)) (forall ((D $$unsorted)) (=> (and (not (tptp.v3_struct_0 D)) (tptp.v4_yellow_0 D B) (tptp.m1_yellow_0 D B)) (=> (and (= (tptp.g1_orders_2 (tptp.u1_struct_0 A) (tptp.u1_orders_2 A)) (tptp.g1_orders_2 (tptp.u1_struct_0 B) (tptp.u1_orders_2 B))) (= (tptp.u1_struct_0 C) (tptp.u1_struct_0 D)) (tptp.v4_waybel_0 C A)) (tptp.v4_waybel_0 D B)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.l1_orders_2 B)) (forall ((C $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.v4_yellow_0 C A) (tptp.m1_yellow_0 C A)) (forall ((D $$unsorted)) (=> (and (not (tptp.v3_struct_0 D)) (tptp.v4_yellow_0 D B) (tptp.m1_yellow_0 D B)) (=> (and (= (tptp.g1_orders_2 (tptp.u1_struct_0 A) (tptp.u1_orders_2 A)) (tptp.g1_orders_2 (tptp.u1_struct_0 B) (tptp.u1_orders_2 B))) (= (tptp.u1_struct_0 C) (tptp.u1_struct_0 D)) (tptp.v3_waybel_0 C A)) (tptp.v3_waybel_0 D 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 $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.v3_orders_2 C) (tptp.v7_waybel_0 C) (tptp.l1_waybel_0 C A)) (forall ((D $$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.m2_relset_1 D _let_2 _let_1)) (=> (tptp.v5_pre_topc D A B) (tptp.r1_tarski (tptp.k4_pre_topc A B D (tptp.k11_yellow_6 A C)) (tptp.k11_yellow_6 B (tptp.k7_waybel_9 A B D C)))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.l1_waybel_0 B A)) (= (tptp.v9_waybel_0 B A) (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.r1_orders_2 B C D) (tptp.r1_orders_2 A (tptp.k3_waybel_0 A B D) (tptp.k3_waybel_0 A B C)))))))))))) (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.l1_waybel_0 B A)) (forall ((C $$unsorted)) (=> (tptp.r1_tarski (tptp.k8_yellow_2 (tptp.u1_struct_0 B) A (tptp.u1_waybel_0 A B)) C) (tptp.r1_waybel_0 A B C))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v25_waybel_0 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.v2_waybel_0 B A) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (= (tptp.k1_waybel11 A (tptp.k3_yellow_9 A B)) (tptp.k2_yellow_0 A B)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v25_waybel_0 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.v25_waybel_0 B) (tptp.l1_orders_2 B)) (forall ((C $$unsorted)) (=> (and (not (tptp.v1_xboole_0 C)) (tptp.v2_waybel_0 C A) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D _let_2 _let_1) (tptp.v5_orders_3 D A B) (tptp.m2_relset_1 D _let_2 _let_1)) (= (tptp.k1_waybel11 B (tptp.k7_waybel_9 A B D (tptp.k3_yellow_9 A C))) (tptp.k2_yellow_0 B (tptp.k4_pre_topc A B D C))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v2_pre_topc A) (tptp.l1_waybel_9 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.v2_pre_topc B) (tptp.l1_waybel_9 B)) (forall ((C $$unsorted)) (=> (and (not (tptp.v1_xboole_0 C)) (tptp.v2_waybel_0 C A) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D _let_2 _let_1) (tptp.v5_orders_3 D A B) (tptp.m2_relset_1 D _let_2 _let_1)) (forall ((E $$unsorted)) (=> (and (not (tptp.v1_xboole_0 E)) (tptp.v2_waybel_0 E B) (tptp.m1_subset_1 E (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B)))) (=> (= E (tptp.k4_pre_topc A B D C)) (tptp.m2_yellow_6 (tptp.k7_waybel_9 A B D (tptp.k3_yellow_9 A C)) B (tptp.k3_yellow_9 B E))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v2_pre_topc A) (tptp.l1_waybel_9 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.v2_pre_topc B) (tptp.l1_waybel_9 B)) (forall ((C $$unsorted)) (=> (and (not (tptp.v1_xboole_0 C)) (tptp.v2_waybel_0 C A) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (forall ((D $$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.v5_orders_3 D A B) (tptp.m2_relset_1 D _let_2 _let_1)) (forall ((E $$unsorted)) (=> (and (not (tptp.v1_xboole_0 E)) (tptp.v2_waybel_0 E B) (tptp.m1_subset_1 E (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B)))) (=> (= E (tptp.k4_pre_topc A B D C)) (tptp.r1_tarski (tptp.k11_yellow_6 B (tptp.k3_yellow_9 B E)) (tptp.k11_yellow_6 B (tptp.k7_waybel_9 A B D (tptp.k3_yellow_9 A C))))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k4_waybel17 A B))) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (and (= (tptp.u1_waybel_0 A _let_1) (tptp.k6_relat_1 B)) (= (tptp.u1_struct_0 _let_1) B) (tptp.v4_yellow_0 _let_1 A) (tptp.m1_yellow_0 _let_1 A))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v24_waybel_0 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.v24_waybel_0 B) (tptp.l1_orders_2 B)) (forall ((C $$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_orders_3 C A B) (tptp.m2_relset_1 C _let_2 _let_1)) (forall ((D $$unsorted)) (=> (and (not (tptp.v1_xboole_0 D)) (tptp.v1_waybel_0 D A) (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (= (tptp.k1_waybel11 B (tptp.k7_waybel_9 A B C (tptp.k4_waybel17 A D))) (tptp.k1_yellow_0 B (tptp.k4_pre_topc A B C D))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.v1_waybel_0 B A) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 (tptp.k4_waybel17 A B))) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k4_waybel17 A B))) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 _let_1)) (= (tptp.r3_orders_2 _let_1 C D) (tptp.r3_orders_2 A (tptp.k3_waybel_0 A _let_1 C) (tptp.k3_waybel_0 A _let_1 D)))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v2_pre_topc A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_lattice3 A) (tptp.v2_waybel19 A) (tptp.l1_waybel_9 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.v1_waybel_0 B A) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (tptp.r2_hidden (tptp.k1_yellow_0 A B) (tptp.k11_yellow_6 A (tptp.k4_waybel17 A B))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_struct_0 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_orders_2 B) (tptp.v7_waybel_0 B) (tptp.l1_waybel_0 B A)) (forall ((C $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.l1_waybel_0 C A)) (=> (tptp.m2_yellow_6 C A B) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 C))) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D _let_2 _let_1) (tptp.m2_relset_1 D _let_2 _let_1)) (= (tptp.m2_waybel21 D A B C) (and (= (tptp.u1_waybel_0 A C) (tptp.k7_funct_2 _let_2 _let_1 (tptp.u1_struct_0 A) D (tptp.u1_waybel_0 A B))) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.u1_struct_0 B)) (exists ((F $$unsorted)) (and (tptp.m1_subset_1 F (tptp.u1_struct_0 C)) (forall ((G $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 C))) (=> (tptp.m1_subset_1 G _let_1) (=> (tptp.r1_orders_2 C F G) (tptp.r1_orders_2 B E (tptp.k3_yellow_6 _let_1 B D G))))))))))))))))))))))) (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.v3_orders_2 B) (tptp.v7_waybel_0 B) (tptp.l1_waybel_0 B A)) (forall ((C $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.m2_yellow_6 C A B)) (forall ((D $$unsorted)) (=> (tptp.m2_waybel21 D A B C) (forall ((E $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 C))) (=> (tptp.m1_subset_1 E _let_1) (= (tptp.k3_waybel_0 A C E) (tptp.k3_waybel_0 A B (tptp.k3_yellow_6 _let_1 B D E)))))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_orders_2 B) (tptp.v7_waybel_0 B) (tptp.l1_waybel_0 B A)) (forall ((C $$unsorted)) (=> (tptp.m2_yellow_6 C A B) (tptp.r3_orders_2 A (tptp.k1_waybel11 A B) (tptp.k1_waybel11 A C)))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_orders_2 B) (tptp.v7_waybel_0 B) (tptp.l1_waybel_0 B A)) (forall ((C $$unsorted)) (=> (tptp.m2_yellow_6 C A B) (forall ((D $$unsorted)) (=> (tptp.m2_waybel21 D A B C) (=> (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.u1_struct_0 B)) (forall ((F $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 C))) (=> (tptp.m1_subset_1 F _let_1) (not (and (tptp.r1_orders_2 B (tptp.k3_yellow_6 _let_1 B D F) E) (forall ((G $$unsorted)) (=> (tptp.m1_subset_1 G (tptp.u1_struct_0 C)) (not (and (tptp.r1_orders_2 C F G) (tptp.r1_orders_2 A (tptp.k3_waybel_0 A C G) (tptp.k3_waybel_0 A B E))))))))))))) (= (tptp.k1_waybel11 A B) (tptp.k1_waybel11 A C))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_orders_2 B) (tptp.v7_waybel_0 B) (tptp.l1_waybel_0 B A)) (forall ((C $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.v2_yellow_6 C A B) (tptp.m1_yellow_6 C A B)) (=> (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 B)) (exists ((E $$unsorted)) (and (tptp.m1_subset_1 E (tptp.u1_struct_0 B)) (tptp.r1_orders_2 B D E) (tptp.r2_hidden E (tptp.u1_struct_0 C)))))) (and (tptp.m2_yellow_6 C A B) (tptp.m2_waybel21 (tptp.k1_yellow_9 B C) A B C))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_orders_2 B) (tptp.v7_waybel_0 B) (tptp.l1_waybel_0 B A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k6_waybel_9 A B C))) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 B)) (and (tptp.m2_yellow_6 _let_1 A B) (tptp.m2_waybel21 (tptp.k1_yellow_9 B _let_1) A B _let_1))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_orders_2 B) (tptp.v7_waybel_0 B) (tptp.l1_waybel_0 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 B)) (= (tptp.k1_waybel11 A (tptp.k6_waybel_9 A B C)) (tptp.k1_waybel11 A B)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_orders_2 B) (tptp.v7_waybel_0 B) (tptp.l1_waybel_0 B A)) (forall ((C $$unsorted)) (not (and (tptp.r1_waybel_0 A B C) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k6_waybel_9 A B D))) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 B)) (not (and (tptp.r2_hidden (tptp.k3_waybel_0 A B D) C) (tptp.r1_tarski (tptp.k8_yellow_2 (tptp.u1_struct_0 _let_1) A (tptp.u1_waybel_0 A _let_1)) C))))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v2_pre_topc A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_lattice3 A) (tptp.v2_waybel19 A) (tptp.l1_waybel_9 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k8_yellow_2 (tptp.u1_struct_0 B) A (tptp.u1_waybel_0 A B)))) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_orders_2 B) (tptp.v7_waybel_0 B) (tptp.v11_waybel_0 B A) (tptp.l1_waybel_0 B A)) (and (not (tptp.v1_xboole_0 _let_1)) (tptp.v2_waybel_0 _let_1 A) (tptp.m1_subset_1 _let_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v2_pre_topc A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_lattice3 A) (tptp.v2_waybel19 A) (tptp.l1_waybel_9 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_orders_2 B) (tptp.v7_waybel_0 B) (tptp.v11_waybel_0 B A) (tptp.l1_waybel_0 B A)) (= (tptp.k11_yellow_6 A B) (tptp.k1_struct_0 A (tptp.k2_waybel_9 A B))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v2_pre_topc A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_lattice3 A) (tptp.v2_waybel19 A) (tptp.l1_waybel_9 A)) (forall ((B $$unsorted)) (=> (and (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.v2_pre_topc B) (tptp.v1_lattice3 B) (tptp.v2_lattice3 B) (tptp.v3_lattice3 B) (tptp.v2_waybel19 B) (tptp.l1_waybel_9 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.v19_waybel_0 C A B) (tptp.m2_relset_1 C _let_2 _let_1)) (= (tptp.v5_pre_topc C A B) (and (tptp.v22_waybel_0 C A B) (forall ((D $$unsorted)) (=> (and (not (tptp.v1_xboole_0 D)) (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (tptp.r3_waybel_0 A B C D))))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v2_pre_topc A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_lattice3 A) (tptp.v2_waybel19 A) (tptp.l1_waybel_9 A)) (forall ((B $$unsorted)) (=> (and (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.v2_pre_topc B) (tptp.v1_lattice3 B) (tptp.v2_lattice3 B) (tptp.v3_lattice3 B) (tptp.v2_waybel19 B) (tptp.l1_waybel_9 B)) (forall ((C $$unsorted)) (=> (tptp.m1_waybel21 C A B) (= (tptp.v5_pre_topc C A B) (and (tptp.v17_waybel_0 C A B) (tptp.v22_waybel_0 C A B))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.l1_orders_2 B)) (forall ((C $$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_waybel21 C A B) (forall ((D $$unsorted)) (=> (and (not (tptp.v3_struct_0 D)) (tptp.v3_orders_2 D) (tptp.v7_waybel_0 D) (tptp.l1_waybel_0 D A)) (= (tptp.k3_yellow_6 (tptp.u1_struct_0 A) B C (tptp.k1_waybel11 A D)) (tptp.k1_waybel11 B (tptp.k7_waybel_9 A B C D)))))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v2_pre_topc A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_lattice3 A) (tptp.v2_waybel19 A) (tptp.l1_waybel_9 A)) (forall ((B $$unsorted)) (=> (and (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.v2_pre_topc B) (tptp.v1_lattice3 B) (tptp.v2_lattice3 B) (tptp.v3_lattice3 B) (tptp.v2_waybel19 B) (tptp.l1_waybel_9 B)) (forall ((C $$unsorted)) (=> (tptp.m1_waybel21 C A B) (= (tptp.v5_pre_topc C A B) (tptp.v1_waybel21 C A B)))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v2_pre_topc A) (tptp.v3_waybel_3 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_lattice3 A) (tptp.v2_waybel19 A) (tptp.l1_waybel_9 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v4_yellow_0 B A) (tptp.v5_yellow_0 B A) (tptp.m1_yellow_0 B A)) (=> (tptp.r2_hidden (tptp.k4_yellow_0 A) (tptp.u1_struct_0 B)) (or (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (not (and (= C (tptp.u1_struct_0 B)) (tptp.v4_pre_topc C A))))) (tptp.v7_yellow_0 B A))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v2_pre_topc A) (tptp.v3_waybel_3 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_lattice3 A) (tptp.v2_waybel19 A) (tptp.l1_waybel_9 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v4_yellow_0 B A) (tptp.m1_yellow_0 B A)) (=> (exists ((C $$unsorted)) (and (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))) (tptp.v4_waybel_0 B A)))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v2_pre_topc A) (tptp.v3_waybel_3 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_lattice3 A) (tptp.v2_waybel19 A) (tptp.l1_waybel_9 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v4_yellow_0 B A) (tptp.v7_yellow_0 B A) (tptp.v4_waybel_0 B A) (tptp.m1_yellow_0 B A)) (exists ((C $$unsorted)) (and (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= C (tptp.u1_struct_0 B)) (tptp.v4_pre_topc C A))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v2_pre_topc A) (tptp.v3_waybel_3 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_lattice3 A) (tptp.v2_waybel19 A) (tptp.l1_waybel_9 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v4_yellow_0 B A) (tptp.v7_yellow_0 B A) (tptp.v4_waybel_0 B A) (tptp.m1_yellow_0 B A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (=> (and (not (tptp.v3_struct_0 C)) (tptp.v3_orders_2 C) (tptp.v7_waybel_0 C) (tptp.l1_waybel_0 C A)) (=> (tptp.r1_waybel_0 A C _let_1) (tptp.r2_hidden (tptp.k1_waybel11 A C) _let_1))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v2_pre_topc A) (tptp.v3_waybel_3 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_lattice3 A) (tptp.v2_waybel19 A) (tptp.l1_waybel_9 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v4_yellow_0 B A) (tptp.v5_yellow_0 B A) (tptp.m1_yellow_0 B A)) (=> (and (tptp.r2_hidden (tptp.k4_yellow_0 A) (tptp.u1_struct_0 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (=> (and (not (tptp.v3_struct_0 C)) (tptp.v3_orders_2 C) (tptp.v7_waybel_0 C) (tptp.l1_waybel_0 C A)) (=> (tptp.r1_tarski (tptp.k8_yellow_2 (tptp.u1_struct_0 C) A (tptp.u1_waybel_0 A C)) _let_1) (tptp.r2_hidden (tptp.k1_waybel11 A C) _let_1)))))) (tptp.v7_yellow_0 B A)))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v2_pre_topc A) (tptp.v3_waybel_3 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_lattice3 A) (tptp.v2_waybel19 A) (tptp.l1_waybel_9 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v4_yellow_0 B A) (tptp.m1_yellow_0 B A)) (=> (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (=> (and (not (tptp.v3_struct_0 C)) (tptp.v3_orders_2 C) (tptp.v7_waybel_0 C) (tptp.l1_waybel_0 C A)) (=> (tptp.r1_tarski (tptp.k8_yellow_2 (tptp.u1_struct_0 C) A (tptp.u1_waybel_0 A C)) _let_1) (tptp.r2_hidden (tptp.k1_waybel11 A C) _let_1))))) (tptp.v4_waybel_0 B A)))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v2_pre_topc A) (tptp.v3_waybel_3 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_lattice3 A) (tptp.v2_waybel19 A) (tptp.l1_waybel_9 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v4_yellow_0 B A) (tptp.v5_yellow_0 B A) (tptp.m1_yellow_0 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (and (= C (tptp.u1_struct_0 B)) (tptp.r2_hidden (tptp.k4_yellow_0 A) C)) (= (tptp.v4_pre_topc C A) (forall ((D $$unsorted)) (=> (and (not (tptp.v3_struct_0 D)) (tptp.v3_orders_2 D) (tptp.v7_waybel_0 D) (tptp.l1_waybel_0 D A)) (=> (tptp.r1_waybel_0 A D C) (tptp.r2_hidden (tptp.k1_waybel11 A D) C)))))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 A) (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.v2_lattice3 B) (tptp.l1_orders_2 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (tptp.m1_waybel21 C A B) (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.m2_relset_1 C _let_2 _let_1)))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 A) (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.v2_lattice3 B) (tptp.l1_orders_2 B)) (exists ((C $$unsorted)) (tptp.m1_waybel21 C A B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_struct_0 A) (not (tptp.v3_struct_0 B)) (tptp.v3_orders_2 B) (tptp.v7_waybel_0 B) (tptp.l1_waybel_0 B A) (not (tptp.v3_struct_0 C)) (tptp.l1_waybel_0 C A)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 C))) (=> (tptp.m2_waybel21 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 $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_struct_0 A) (not (tptp.v3_struct_0 B)) (tptp.v3_orders_2 B) (tptp.v7_waybel_0 B) (tptp.l1_waybel_0 B A) (not (tptp.v3_struct_0 C)) (tptp.l1_waybel_0 C A)) (exists ((D $$unsorted)) (tptp.m2_waybel21 D A B C)))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.a_2_0_waybel21 A B))) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_orders_2 B) (tptp.v7_waybel_0 B) (tptp.l1_waybel_0 B A)) (and (not (tptp.v1_xboole_0 _let_1)) (tptp.v1_waybel_0 _let_1 A) (tptp.m1_subset_1 _let_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.a_2_1_waybel21 A B))) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v7_waybel_0 B) (tptp.v8_waybel_0 B A) (tptp.l1_waybel_0 B A)) (and (not (tptp.v1_xboole_0 _let_1)) (tptp.v1_waybel_0 _let_1 A) (tptp.m1_subset_1 _let_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.v1_lattice3 B) (tptp.v2_lattice3 B) (tptp.v3_lattice3 B) (tptp.l1_orders_2 B) (not (tptp.v3_struct_0 C)) (tptp.v3_orders_2 C) (tptp.v7_waybel_0 C) (tptp.l1_waybel_0 C B)) (= (tptp.r2_hidden A (tptp.a_2_0_waybel21 B C)) (exists ((D $$unsorted)) (and (tptp.m1_subset_1 D (tptp.u1_struct_0 C)) (= A (tptp.k2_yellow_0 B (tptp.a_3_0_waybel21 B C D)))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.v1_lattice3 B) (tptp.v2_lattice3 B) (tptp.v3_lattice3 B) (tptp.l1_orders_2 B) (not (tptp.v3_struct_0 C)) (tptp.v3_orders_2 C) (tptp.v7_waybel_0 C) (tptp.l1_waybel_0 C B) (tptp.m1_subset_1 D (tptp.u1_struct_0 C))) (= (tptp.r2_hidden A (tptp.a_3_0_waybel21 B C D)) (exists ((E $$unsorted)) (and (tptp.m1_subset_1 E (tptp.u1_struct_0 C)) (= A (tptp.k3_waybel_0 B C E)) (tptp.r1_orders_2 C D E)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.l1_orders_2 B) (not (tptp.v3_struct_0 C)) (tptp.v2_orders_2 C) (tptp.v3_orders_2 C) (tptp.v7_waybel_0 C) (tptp.v8_waybel_0 C B) (tptp.l1_waybel_0 C B)) (= (tptp.r2_hidden A (tptp.a_2_1_waybel21 B C)) (exists ((D $$unsorted)) (and (tptp.m1_subset_1 D (tptp.u1_struct_0 C)) (= A (tptp.k2_yellow_0 B (tptp.a_3_1_waybel21 B C D)))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.l1_orders_2 B) (not (tptp.v3_struct_0 C)) (tptp.v2_orders_2 C) (tptp.v3_orders_2 C) (tptp.v7_waybel_0 C) (tptp.v8_waybel_0 C B) (tptp.l1_waybel_0 C B) (tptp.m1_subset_1 D (tptp.u1_struct_0 C))) (= (tptp.r2_hidden A (tptp.a_3_1_waybel21 B C D)) (exists ((E $$unsorted)) (and (tptp.m1_subset_1 E (tptp.u1_struct_0 C)) (= A (tptp.k3_waybel_0 B C E)) (tptp.r1_orders_2 C D E)))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k2_yellow_1 (tptp.k9_waybel_0 A)))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v2_yellow_0 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 A)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v1_orders_2 _let_1) (tptp.v2_orders_2 _let_1) (tptp.v3_orders_2 _let_1) (tptp.v4_orders_2 _let_1) (tptp.v1_yellow_0 _let_1) (tptp.v2_yellow_0 _let_1) (tptp.v3_yellow_0 _let_1) (tptp.v24_waybel_0 _let_1) (tptp.v25_waybel_0 _let_1) (tptp.v1_lattice3 _let_1) (tptp.v2_lattice3 _let_1) (tptp.v3_lattice3 _let_1) (tptp.v3_waybel_3 _let_1))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v2_yellow_0 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 (tptp.k2_yellow_1 (tptp.k9_waybel_0 A)))) (not (tptp.v1_xboole_0 B)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k2_yellow_1 (tptp.k9_waybel_0 (tptp.k3_yellow_1 A))))) (let ((_let_2 (tptp.k2_waybel22 A B C))) (let ((_let_3 (tptp.u1_struct_0 B))) (let ((_let_4 (tptp.k1_waybel22 A))) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.v3_lattice3 B) (tptp.v3_waybel_3 B) (tptp.l1_orders_2 B) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_4 _let_3) (tptp.m1_relset_1 C _let_4 _let_3)) (and (tptp.v1_relat_1 _let_2) (tptp.v1_funct_1 _let_2) (tptp.v1_funct_2 _let_2 (tptp.u1_struct_0 _let_1) _let_3) (tptp.v22_waybel_0 _let_2 _let_1 B)))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k2_yellow_1 (tptp.k9_waybel_0 (tptp.k3_yellow_1 A))))) (let ((_let_2 (tptp.k2_waybel22 A B C))) (let ((_let_3 (tptp.u1_struct_0 B))) (let ((_let_4 (tptp.k1_waybel22 A))) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.v3_lattice3 B) (tptp.v3_waybel_3 B) (tptp.l1_orders_2 B) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_4 _let_3) (tptp.m1_relset_1 C _let_4 _let_3)) (and (tptp.v1_relat_1 _let_2) (tptp.v1_funct_1 _let_2) (tptp.v1_funct_2 _let_2 (tptp.u1_struct_0 _let_1) _let_3) (tptp.v17_waybel_0 _let_2 _let_1 B) (tptp.v19_waybel_0 _let_2 _let_1 B) (tptp.v21_waybel_0 _let_2 _let_1 B) (tptp.v22_waybel_0 _let_2 _let_1 B)))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v2_yellow_0 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k2_yellow_1 (tptp.k9_waybel_0 A)))) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.v1_waybel_0 B _let_1) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 _let_1)))) (= (tptp.k1_yellow_0 _let_1 B) (tptp.k3_tarski B))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v3_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.v3_lattice3 B) (tptp.l1_orders_2 B)) (forall ((C $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.v2_orders_2 C) (tptp.v3_orders_2 C) (tptp.v4_orders_2 C) (tptp.v3_lattice3 C) (tptp.l1_orders_2 C)) (forall ((D $$unsorted)) (=> (tptp.m1_waybel16 D A B) (forall ((E $$unsorted)) (=> (tptp.m1_waybel16 E B C) (tptp.m1_waybel16 (tptp.k7_funct_2 (tptp.u1_struct_0 A) (tptp.u1_struct_0 B) (tptp.u1_struct_0 C) D E) A C))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (tptp.v17_waybel_0 (tptp.k7_grcat_1 A) A A))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (tptp.v22_waybel_0 (tptp.k7_grcat_1 A) A A))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v3_lattice3 A) (tptp.l1_orders_2 A)) (tptp.m1_waybel16 (tptp.k7_grcat_1 A) A A))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k3_yellow_1 (tptp.u1_struct_0 A)))) (let ((_let_2 (tptp.k2_yellow_1 (tptp.k9_waybel_0 A)))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v2_yellow_0 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 A)) (and (not (tptp.v3_struct_0 _let_2)) (tptp.v4_yellow_0 _let_2 _let_1) (tptp.v7_yellow_0 _let_2 _let_1) (tptp.v4_waybel_0 _let_2 _let_1) (tptp.m1_yellow_0 _let_2 _let_1)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v3_lattice3 A) (tptp.v3_waybel_3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (= (tptp.r1_waybel22 A B) (forall ((C $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.v2_orders_2 C) (tptp.v3_orders_2 C) (tptp.v4_orders_2 C) (tptp.v3_lattice3 C) (tptp.v3_waybel_3 C) (tptp.l1_orders_2 C)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 C))) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D B _let_1) (tptp.m2_relset_1 D B _let_1)) (exists ((E $$unsorted)) (and (tptp.m1_waybel16 E A C) (= (tptp.k7_relat_1 E B) D) (forall ((F $$unsorted)) (=> (tptp.m1_waybel16 F A C) (=> (= (tptp.k7_relat_1 F B) D) (= F E))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v3_lattice3 A) (tptp.v3_waybel_3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.r1_waybel22 A B) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v3_lattice3 A) (tptp.v3_waybel_3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.r1_waybel22 A B) (forall ((C $$unsorted)) (=> (tptp.m1_waybel16 C A A) (=> (= (tptp.k7_relat_1 C B) (tptp.k1_pralg_3 B)) (= C (tptp.k7_grcat_1 A))))))))) (forall ((A $$unsorted)) (tptp.r1_tarski (tptp.k1_waybel22 A) (tptp.k9_waybel_0 (tptp.k3_yellow_1 A)))) (forall ((A $$unsorted)) (= (tptp.k1_card_1 (tptp.k1_waybel22 A)) (tptp.k1_card_1 A))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.v3_lattice3 B) (tptp.v3_waybel_3 B) (tptp.l1_orders_2 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.k1_waybel22 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_orders_3 (tptp.k2_waybel22 A B C) (tptp.k2_yellow_1 (tptp.k9_waybel_0 (tptp.k3_yellow_1 A))) B))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.v3_lattice3 B) (tptp.v3_waybel_3 B) (tptp.l1_orders_2 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k2_yellow_1 (tptp.k9_waybel_0 (tptp.k3_yellow_1 A))))) (let ((_let_2 (tptp.u1_struct_0 B))) (let ((_let_3 (tptp.k1_waybel22 A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_3 _let_2) (tptp.m2_relset_1 C _let_3 _let_2)) (= (tptp.k1_waybel_0 _let_1 B (tptp.k2_waybel22 A B C) (tptp.k4_yellow_0 _let_1)) (tptp.k4_yellow_0 B))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.v3_lattice3 B) (tptp.v3_waybel_3 B) (tptp.l1_orders_2 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k1_waybel22 A))) (let ((_let_2 (tptp.u1_struct_0 B))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_1 _let_2) (tptp.m2_relset_1 C _let_1 _let_2)) (= (tptp.k7_relat_1 (tptp.k2_waybel22 A B C) _let_1) C))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.v3_lattice3 B) (tptp.v3_waybel_3 B) (tptp.l1_orders_2 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.k1_waybel22 A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.m2_relset_1 C _let_2 _let_1)) (forall ((D $$unsorted)) (=> (tptp.m1_waybel16 D (tptp.k2_yellow_1 (tptp.k9_waybel_0 (tptp.k3_yellow_1 A))) B) (=> (= (tptp.k7_relat_1 D (tptp.k1_waybel22 A)) C) (= D (tptp.k2_waybel22 A B C))))))))))) (forall ((A $$unsorted)) (tptp.r1_waybel22 (tptp.k2_yellow_1 (tptp.k9_waybel_0 (tptp.k3_yellow_1 A))) (tptp.k1_waybel22 A))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_lattice3 A) (tptp.v3_waybel_3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.v1_lattice3 B) (tptp.v2_lattice3 B) (tptp.v3_lattice3 B) (tptp.v3_waybel_3 B) (tptp.l1_orders_2 B)) (forall ((C $$unsorted) (D $$unsorted)) (=> (and (tptp.r1_waybel22 A C) (tptp.r1_waybel22 B D) (= (tptp.k1_card_1 C) (tptp.k1_card_1 D))) (tptp.r5_waybel_1 A B))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.v1_lattice3 B) (tptp.v2_lattice3 B) (tptp.v3_lattice3 B) (tptp.v3_waybel_3 B) (tptp.l1_orders_2 B)) (forall ((C $$unsorted)) (=> (and (tptp.r1_waybel22 B C) (= (tptp.k1_card_1 C) (tptp.k1_card_1 A))) (tptp.r5_waybel_1 B (tptp.k2_yellow_1 (tptp.k9_waybel_0 (tptp.k3_yellow_1 A)))))))) (forall ((A $$unsorted)) (tptp.m1_subset_1 (tptp.k1_waybel22 A) (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 (tptp.k3_yellow_1 A)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 (tptp.k2_yellow_1 (tptp.k9_waybel_0 (tptp.k3_yellow_1 A)))))) (let ((_let_3 (tptp.k2_waybel22 A B C))) (let ((_let_4 (tptp.k1_waybel22 A))) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.v3_lattice3 B) (tptp.v3_waybel_3 B) (tptp.l1_orders_2 B) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_4 _let_1) (tptp.m1_relset_1 C _let_4 _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 $$unsorted)) (= (tptp.k1_waybel22 A) (tptp.a_1_0_waybel22 A))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k3_yellow_1 A))) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.v2_waybel_0 B _let_1) (tptp.v13_waybel_0 B _let_1) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 _let_1)))) (= B (tptp.k1_yellow_0 (tptp.k2_yellow_1 (tptp.k9_waybel_0 _let_1)) (tptp.a_2_0_waybel22 A B)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.v3_lattice3 B) (tptp.v3_waybel_3 B) (tptp.l1_orders_2 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.k1_waybel22 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 $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 (tptp.k2_yellow_1 (tptp.k9_waybel_0 (tptp.k3_yellow_1 A)))))) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D _let_2 _let_1) (tptp.m2_relset_1 D _let_2 _let_1)) (= (= D (tptp.k2_waybel22 A B C)) (forall ((E $$unsorted)) (let ((_let_1 (tptp.k2_yellow_1 (tptp.k9_waybel_0 (tptp.k3_yellow_1 A))))) (=> (tptp.m1_subset_1 E (tptp.u1_struct_0 _let_1)) (= (tptp.k1_waybel_0 _let_1 B D E) (tptp.k1_yellow_0 B (tptp.a_4_0_waybel22 A B C E))))))))))))))))) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.r2_hidden A (tptp.a_1_0_waybel22 B)) (exists ((C $$unsorted)) (let ((_let_1 (tptp.k3_yellow_1 B))) (and (tptp.m1_subset_1 C (tptp.u1_struct_0 _let_1)) (= A (tptp.k7_waybel_0 _let_1 C)) (exists ((D $$unsorted)) (and (tptp.m1_subset_1 D B) (= C (tptp.k1_tarski D))))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k3_yellow_1 B))) (=> (and (not (tptp.v1_xboole_0 C)) (tptp.v2_waybel_0 C _let_1) (tptp.v13_waybel_0 C _let_1) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 _let_1)))) (= (tptp.r2_hidden A (tptp.a_2_0_waybel22 B C)) (exists ((D $$unsorted)) (and (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 B)) (= A (tptp.k2_yellow_0 (tptp.k2_yellow_1 (tptp.k9_waybel_0 (tptp.k3_yellow_1 B))) (tptp.a_2_1_waybel22 B D))) (tptp.r2_hidden D C))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 B)) (= (tptp.r2_hidden A (tptp.a_2_1_waybel22 B C)) (exists ((D $$unsorted)) (let ((_let_1 (tptp.k3_yellow_1 B))) (and (tptp.m1_subset_1 D (tptp.u1_struct_0 _let_1)) (= A (tptp.k7_waybel_0 _let_1 D)) (exists ((E $$unsorted)) (and (tptp.m1_subset_1 E B) (= D (tptp.k1_tarski E)) (tptp.r2_hidden E C))))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 C))) (let ((_let_2 (tptp.k1_waybel22 B))) (=> (and (not (tptp.v3_struct_0 C)) (tptp.v2_orders_2 C) (tptp.v3_orders_2 C) (tptp.v4_orders_2 C) (tptp.v3_lattice3 C) (tptp.v3_waybel_3 C) (tptp.l1_orders_2 C) (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_subset_1 E (tptp.u1_struct_0 (tptp.k2_yellow_1 (tptp.k9_waybel_0 (tptp.k3_yellow_1 B)))))) (= (tptp.r2_hidden A (tptp.a_4_0_waybel22 B C D E)) (exists ((F $$unsorted)) (and (tptp.m1_subset_1 F (tptp.k1_zfmisc_1 B)) (= A (tptp.k2_yellow_0 C (tptp.a_4_1_waybel22 B C D F))) (tptp.r2_hidden F E)))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 C))) (let ((_let_2 (tptp.k1_waybel22 B))) (=> (and (not (tptp.v3_struct_0 C)) (tptp.v2_orders_2 C) (tptp.v3_orders_2 C) (tptp.v4_orders_2 C) (tptp.v3_lattice3 C) (tptp.v3_waybel_3 C) (tptp.l1_orders_2 C) (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_subset_1 E (tptp.k1_zfmisc_1 B))) (= (tptp.r2_hidden A (tptp.a_4_1_waybel22 B C D E)) (exists ((F $$unsorted)) (let ((_let_1 (tptp.k3_yellow_1 B))) (and (tptp.m1_subset_1 F (tptp.u1_struct_0 _let_1)) (= A (tptp.k1_funct_1 D (tptp.k7_waybel_0 _let_1 F))) (exists ((G $$unsorted)) (and (tptp.m1_subset_1 G B) (= F (tptp.k1_tarski G)) (tptp.r2_hidden G E))))))))))) (exists ((A $$unsorted)) (and (tptp.l1_conlat_1 A) (tptp.v1_conlat_1 A))) (exists ((A $$unsorted)) (and (tptp.l1_conlat_1 A) (tptp.v1_conlat_1 A) (not (tptp.v2_conlat_1 A)))) (exists ((A $$unsorted)) (and (tptp.l1_conlat_1 A) (tptp.v1_conlat_1 A) (not (tptp.v3_conlat_1 A)))) (exists ((A $$unsorted)) (and (tptp.l1_conlat_1 A) (tptp.v1_conlat_1 A) (tptp.v2_conlat_1 A) (tptp.v3_conlat_1 A))) (exists ((A $$unsorted)) (and (tptp.l2_conlat_1 A) (tptp.v4_conlat_1 A))) (exists ((A $$unsorted)) (and (tptp.l2_conlat_1 A) (not (tptp.v2_conlat_1 A)) (tptp.v4_conlat_1 A))) (exists ((A $$unsorted)) (and (tptp.l2_conlat_1 A) (not (tptp.v3_conlat_1 A)) (tptp.v4_conlat_1 A))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_conlat_1 A)) (tptp.l1_conlat_1 A)) (not (tptp.v1_xboole_0 (tptp.u2_conlat_1 A))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_conlat_1 A)) (tptp.l1_conlat_1 A)) (not (tptp.v1_xboole_0 (tptp.u1_conlat_1 A))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_conlat_1 A)) (tptp.l1_conlat_1 A)) (exists ((B $$unsorted)) (and (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_conlat_1 A))) (not (tptp.v1_xboole_0 B)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_conlat_1 A)) (tptp.l1_conlat_1 A)) (exists ((B $$unsorted)) (and (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u2_conlat_1 A))) (not (tptp.v1_xboole_0 B)))))) (forall ((A $$unsorted)) (=> (tptp.l1_conlat_1 A) (exists ((B $$unsorted)) (and (tptp.l3_conlat_1 B A) (tptp.v6_conlat_1 B A))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_conlat_1 A)) (tptp.l1_conlat_1 A)) (exists ((B $$unsorted)) (and (tptp.l3_conlat_1 B A) (tptp.v6_conlat_1 B A) (not (tptp.v7_conlat_1 B A)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_conlat_1 A)) (tptp.l1_conlat_1 A)) (exists ((B $$unsorted)) (and (tptp.l3_conlat_1 B A) (tptp.v6_conlat_1 B A) (tptp.v8_conlat_1 B A))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_conlat_1 A) (tptp.l1_conlat_1 A)) (forall ((B $$unsorted)) (=> (tptp.l3_conlat_1 B A) (tptp.v7_conlat_1 B A))))) (forall ((A $$unsorted)) (=> (and (tptp.v3_conlat_1 A) (tptp.l1_conlat_1 A)) (forall ((B $$unsorted)) (=> (tptp.l3_conlat_1 B A) (tptp.v8_conlat_1 B A))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_conlat_1 A)) (tptp.l2_conlat_1 A)) (exists ((B $$unsorted)) (and (tptp.l3_conlat_1 B A) (not (tptp.v7_conlat_1 B A)) (tptp.v9_conlat_1 B A))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_conlat_1 A)) (tptp.l2_conlat_1 A)) (exists ((B $$unsorted)) (and (tptp.l3_conlat_1 B A) (tptp.v6_conlat_1 B A) (not (tptp.v7_conlat_1 B A)) (tptp.v9_conlat_1 B A))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_conlat_1 A)) (tptp.l2_conlat_1 A)) (exists ((B $$unsorted)) (and (tptp.l3_conlat_1 B A) (tptp.v6_conlat_1 B A) (not (tptp.v7_conlat_1 B A)) (tptp.v9_conlat_1 B A) (tptp.v10_conlat_1 B A))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_conlat_1 A)) (tptp.l2_conlat_1 A)) (exists ((B $$unsorted)) (and (tptp.l3_conlat_1 B A) (tptp.v6_conlat_1 B A) (not (tptp.v7_conlat_1 B A)) (tptp.v9_conlat_1 B A) (tptp.v11_conlat_1 B A))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_conlat_1 A)) (tptp.l2_conlat_1 A)) (not (tptp.v1_xboole_0 (tptp.k7_conlat_1 A))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k11_conlat_1 A))) (=> (and (not (tptp.v3_conlat_1 A)) (tptp.l2_conlat_1 A)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v3_lattices _let_1) (tptp.v4_lattices _let_1) (tptp.v5_lattices _let_1) (tptp.v6_lattices _let_1) (tptp.v7_lattices _let_1) (tptp.v8_lattices _let_1) (tptp.v9_lattices _let_1) (tptp.v10_lattices _let_1))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k11_conlat_1 A))) (=> (and (not (tptp.v3_conlat_1 A)) (tptp.l2_conlat_1 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) (tptp.v4_lattice3 _let_1))))) (forall ((A $$unsorted)) (=> (tptp.l1_conlat_1 A) (= (tptp.v2_conlat_1 A) (and (tptp.v1_xboole_0 (tptp.u1_conlat_1 A)) (tptp.v1_xboole_0 (tptp.u2_conlat_1 A)))))) (forall ((A $$unsorted)) (=> (tptp.l1_conlat_1 A) (= (tptp.v3_conlat_1 A) (or (tptp.v1_xboole_0 (tptp.u1_conlat_1 A)) (tptp.v1_xboole_0 (tptp.u2_conlat_1 A)))))) true true (forall ((A $$unsorted)) (=> (and (not (tptp.v3_conlat_1 A)) (tptp.l2_conlat_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_conlat_1 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u2_conlat_1 A)) (= (tptp.r1_conlat_1 A B C) (tptp.r2_hidden (tptp.k4_tarski B C) (tptp.u3_conlat_1 A))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_conlat_1 A)) (tptp.l2_conlat_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_conlat_1 A))) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k1_conlat_1 A))) (let ((_let_2 (tptp.k1_zfmisc_1 (tptp.u2_conlat_1 A)))) (let ((_let_3 (tptp.k1_zfmisc_1 (tptp.u1_conlat_1 A)))) (=> (tptp.m1_subset_1 C _let_3) (=> (tptp.r1_tarski B C) (tptp.r1_tarski (tptp.k8_funct_2 _let_3 _let_2 _let_1 C) (tptp.k8_funct_2 _let_3 _let_2 _let_1 B)))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_conlat_1 A)) (tptp.l2_conlat_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u2_conlat_1 A))) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k2_conlat_1 A))) (let ((_let_2 (tptp.k1_zfmisc_1 (tptp.u1_conlat_1 A)))) (let ((_let_3 (tptp.k1_zfmisc_1 (tptp.u2_conlat_1 A)))) (=> (tptp.m1_subset_1 C _let_3) (=> (tptp.r1_tarski B C) (tptp.r1_tarski (tptp.k8_funct_2 _let_3 _let_2 _let_1 C) (tptp.k8_funct_2 _let_3 _let_2 _let_1 B)))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_conlat_1 A)) (tptp.l2_conlat_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 (tptp.u2_conlat_1 A)))) (let ((_let_2 (tptp.k1_zfmisc_1 (tptp.u1_conlat_1 A)))) (=> (tptp.m1_subset_1 B _let_2) (tptp.r1_tarski B (tptp.k8_funct_2 _let_1 _let_2 (tptp.k2_conlat_1 A) (tptp.k8_funct_2 _let_2 _let_1 (tptp.k1_conlat_1 A) B))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_conlat_1 A)) (tptp.l2_conlat_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 (tptp.u1_conlat_1 A)))) (let ((_let_2 (tptp.k1_zfmisc_1 (tptp.u2_conlat_1 A)))) (=> (tptp.m1_subset_1 B _let_2) (tptp.r1_tarski B (tptp.k8_funct_2 _let_1 _let_2 (tptp.k1_conlat_1 A) (tptp.k8_funct_2 _let_2 _let_1 (tptp.k2_conlat_1 A) B))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_conlat_1 A)) (tptp.l2_conlat_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k1_conlat_1 A))) (let ((_let_2 (tptp.k1_zfmisc_1 (tptp.u2_conlat_1 A)))) (let ((_let_3 (tptp.k1_zfmisc_1 (tptp.u1_conlat_1 A)))) (let ((_let_4 (tptp.k8_funct_2 _let_3 _let_2 _let_1 B))) (=> (tptp.m1_subset_1 B _let_3) (= _let_4 (tptp.k8_funct_2 _let_3 _let_2 _let_1 (tptp.k8_funct_2 _let_2 _let_3 (tptp.k2_conlat_1 A) _let_4))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_conlat_1 A)) (tptp.l2_conlat_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k2_conlat_1 A))) (let ((_let_2 (tptp.k1_zfmisc_1 (tptp.u1_conlat_1 A)))) (let ((_let_3 (tptp.k1_zfmisc_1 (tptp.u2_conlat_1 A)))) (let ((_let_4 (tptp.k8_funct_2 _let_3 _let_2 _let_1 B))) (=> (tptp.m1_subset_1 B _let_3) (= _let_4 (tptp.k8_funct_2 _let_3 _let_2 _let_1 (tptp.k8_funct_2 _let_2 _let_3 (tptp.k1_conlat_1 A) _let_4))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_conlat_1 A)) (tptp.l2_conlat_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_conlat_1 A))) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u2_conlat_1 A))) (let ((_let_2 (tptp.u1_conlat_1 A))) (let ((_let_3 (tptp.k1_zfmisc_1 _let_1))) (=> (tptp.m1_subset_1 C _let_3) (= (tptp.r1_tarski B (tptp.k8_funct_2 _let_3 (tptp.k1_zfmisc_1 _let_2) (tptp.k2_conlat_1 A) C)) (tptp.r1_tarski (tptp.k12_mcart_1 _let_2 _let_1 B C) (tptp.u3_conlat_1 A)))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_conlat_1 A)) (tptp.l2_conlat_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_conlat_1 A))) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u2_conlat_1 A))) (let ((_let_2 (tptp.u1_conlat_1 A))) (let ((_let_3 (tptp.k1_zfmisc_1 _let_1))) (=> (tptp.m1_subset_1 C _let_3) (= (tptp.r1_tarski C (tptp.k8_funct_2 (tptp.k1_zfmisc_1 _let_2) _let_3 (tptp.k1_conlat_1 A) B)) (tptp.r1_tarski (tptp.k12_mcart_1 _let_2 _let_1 B C) (tptp.u3_conlat_1 A)))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_conlat_1 A)) (tptp.l2_conlat_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_conlat_1 A))) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 (tptp.u2_conlat_1 A)))) (let ((_let_2 (tptp.k1_zfmisc_1 (tptp.u1_conlat_1 A)))) (=> (tptp.m1_subset_1 C _let_1) (= (tptp.r1_tarski B (tptp.k8_funct_2 _let_1 _let_2 (tptp.k2_conlat_1 A) C)) (tptp.r1_tarski C (tptp.k8_funct_2 _let_2 _let_1 (tptp.k1_conlat_1 A) B))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_conlat_1 A)) (tptp.l2_conlat_1 A)) (= (tptp.k3_conlat_1 A) (tptp.k1_conlat_1 A)))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_conlat_1 A)) (tptp.l2_conlat_1 A)) (= (tptp.k4_conlat_1 A) (tptp.k2_conlat_1 A)))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.l1_orders_2 B)) (forall ((C $$unsorted)) (=> (tptp.m1_waybel_1 C A B) (= (tptp.v5_conlat_1 C A B) (exists ((D $$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) (exists ((E $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.u1_struct_0 B))) (and (tptp.v1_funct_1 E) (tptp.v1_funct_2 E _let_2 _let_1) (tptp.m2_relset_1 E _let_2 _let_1) (= C (tptp.k1_waybel_1 A B D E)) (tptp.v5_waybel_0 D A B) (tptp.v5_waybel_0 E B A) (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F (tptp.u1_struct_0 A)) (forall ((G $$unsorted)) (=> (tptp.m1_subset_1 G (tptp.u1_struct_0 A)) (forall ((H $$unsorted)) (=> (tptp.m1_subset_1 H (tptp.u1_struct_0 B)) (forall ((I $$unsorted)) (=> (tptp.m1_subset_1 I (tptp.u1_struct_0 B)) (and (tptp.r1_orders_2 A F (tptp.k1_waybel_0 B A E (tptp.k1_waybel_0 A B D F))) (tptp.r1_orders_2 B H (tptp.k1_waybel_0 A B D (tptp.k1_waybel_0 B A E H))))))))))))))))))))))))))) true (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.l1_orders_2 B)) (forall ((C $$unsorted)) (=> (tptp.m1_waybel_1 C A B) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D _let_2 _let_1) (tptp.m2_relset_1 D _let_2 _let_1)) (forall ((E $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (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)) (=> (= C (tptp.k1_waybel_1 A B D E)) (= (tptp.v5_conlat_1 C A B) (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F (tptp.u1_struct_0 A)) (forall ((G $$unsorted)) (=> (tptp.m1_subset_1 G (tptp.u1_struct_0 B)) (= (tptp.r3_orders_2 A F (tptp.k1_waybel_0 B A E G)) (tptp.r3_orders_2 B G (tptp.k1_waybel_0 A B D F))))))))))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.l1_orders_2 B)) (forall ((C $$unsorted)) (=> (tptp.m1_waybel_1 C A B) (=> (tptp.v5_conlat_1 C A B) (forall ((D $$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.m2_relset_1 D _let_2 _let_1)) (forall ((E $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 E) (tptp.v1_funct_2 E _let_1 _let_2) (tptp.m2_relset_1 E _let_1 _let_2)) (=> (= C (tptp.k1_waybel_1 A B D E)) (and (= D (tptp.k7_funct_2 _let_2 _let_2 _let_1 (tptp.k7_funct_2 _let_2 _let_1 _let_2 D E) D)) (= E (tptp.k7_funct_2 _let_1 _let_1 _let_2 (tptp.k7_funct_2 _let_1 _let_2 _let_1 E D) E))))))))))))))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k3_yellow_1 (tptp.u2_conlat_1 A)))) (let ((_let_2 (tptp.k3_yellow_1 (tptp.u1_conlat_1 A)))) (=> (and (not (tptp.v3_conlat_1 A)) (tptp.l2_conlat_1 A)) (tptp.v5_conlat_1 (tptp.k1_waybel_1 _let_2 _let_1 (tptp.k3_conlat_1 A) (tptp.k4_conlat_1 A)) _let_2 _let_1))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_conlat_1 A)) (tptp.l2_conlat_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_conlat_1 A))) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k1_conlat_1 A))) (let ((_let_2 (tptp.u2_conlat_1 A))) (let ((_let_3 (tptp.k1_zfmisc_1 _let_2))) (let ((_let_4 (tptp.u1_conlat_1 A))) (let ((_let_5 (tptp.k1_zfmisc_1 _let_4))) (=> (tptp.m1_subset_1 C _let_5) (= (tptp.k8_funct_2 _let_5 _let_3 _let_1 (tptp.k4_subset_1 _let_4 B C)) (tptp.k5_subset_1 _let_2 (tptp.k8_funct_2 _let_5 _let_3 _let_1 B) (tptp.k8_funct_2 _let_5 _let_3 _let_1 C)))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_conlat_1 A)) (tptp.l2_conlat_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u2_conlat_1 A))) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k2_conlat_1 A))) (let ((_let_2 (tptp.u1_conlat_1 A))) (let ((_let_3 (tptp.k1_zfmisc_1 _let_2))) (let ((_let_4 (tptp.u2_conlat_1 A))) (let ((_let_5 (tptp.k1_zfmisc_1 _let_4))) (=> (tptp.m1_subset_1 C _let_5) (= (tptp.k8_funct_2 _let_5 _let_3 _let_1 (tptp.k4_subset_1 _let_4 B C)) (tptp.k5_subset_1 _let_2 (tptp.k8_funct_2 _let_5 _let_3 _let_1 B) (tptp.k8_funct_2 _let_5 _let_3 _let_1 C)))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_conlat_1 A)) (tptp.l2_conlat_1 A)) (= (tptp.k1_funct_1 (tptp.k1_conlat_1 A) tptp.k1_xboole_0) (tptp.u2_conlat_1 A)))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_conlat_1 A)) (tptp.l2_conlat_1 A)) (= (tptp.k1_funct_1 (tptp.k2_conlat_1 A) tptp.k1_xboole_0) (tptp.u1_conlat_1 A)))) (forall ((A $$unsorted)) (=> (tptp.l1_conlat_1 A) (forall ((B $$unsorted)) (=> (tptp.l3_conlat_1 B A) (= (tptp.v7_conlat_1 B A) (and (tptp.v1_xboole_0 (tptp.u4_conlat_1 A B)) (tptp.v1_xboole_0 (tptp.u5_conlat_1 A B)))))))) (forall ((A $$unsorted)) (=> (tptp.l1_conlat_1 A) (forall ((B $$unsorted)) (=> (tptp.l3_conlat_1 B A) (= (tptp.v8_conlat_1 B A) (or (tptp.v1_xboole_0 (tptp.u4_conlat_1 A B)) (tptp.v1_xboole_0 (tptp.u5_conlat_1 A B)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_conlat_1 A)) (tptp.l2_conlat_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u4_conlat_1 A B))) (let ((_let_2 (tptp.u5_conlat_1 A B))) (let ((_let_3 (tptp.k1_zfmisc_1 (tptp.u1_conlat_1 A)))) (let ((_let_4 (tptp.k1_zfmisc_1 (tptp.u2_conlat_1 A)))) (=> (tptp.l3_conlat_1 B A) (= (tptp.v9_conlat_1 B A) (and (= (tptp.k8_funct_2 _let_3 _let_4 (tptp.k1_conlat_1 A) _let_1) _let_2) (= (tptp.k8_funct_2 _let_4 _let_3 (tptp.k2_conlat_1 A) _let_2) _let_1))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_conlat_1 A)) (tptp.l2_conlat_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 (tptp.u2_conlat_1 A)))) (let ((_let_2 (tptp.k1_zfmisc_1 (tptp.u1_conlat_1 A)))) (let ((_let_3 (tptp.k8_funct_2 _let_2 _let_1 (tptp.k1_conlat_1 A) B))) (let ((_let_4 (tptp.g3_conlat_1 A (tptp.k8_funct_2 _let_1 _let_2 (tptp.k2_conlat_1 A) _let_3) _let_3))) (=> (tptp.m1_subset_1 B _let_2) (and (not (tptp.v7_conlat_1 _let_4 A)) (tptp.v9_conlat_1 _let_4 A) (tptp.l3_conlat_1 _let_4 A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_conlat_1 A))) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 (tptp.u2_conlat_1 A)))) (let ((_let_2 (tptp.k1_zfmisc_1 (tptp.u1_conlat_1 A)))) (let ((_let_3 (tptp.g3_conlat_1 A C D))) (=> (tptp.m1_subset_1 D _let_1) (=> (and (not (tptp.v7_conlat_1 _let_3 A)) (tptp.v9_conlat_1 _let_3 A) (tptp.l3_conlat_1 _let_3 A) (tptp.r1_tarski B C)) (tptp.r1_tarski (tptp.k8_funct_2 _let_1 _let_2 (tptp.k2_conlat_1 A) (tptp.k8_funct_2 _let_2 _let_1 (tptp.k1_conlat_1 A) B)) C)))))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_conlat_1 A)) (tptp.l2_conlat_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 (tptp.u2_conlat_1 A)))) (let ((_let_2 (tptp.k1_zfmisc_1 (tptp.u1_conlat_1 A)))) (=> (tptp.m1_subset_1 B _let_2) (= (exists ((C $$unsorted)) (let ((_let_1 (tptp.g3_conlat_1 A B C))) (and (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u2_conlat_1 A))) (not (tptp.v7_conlat_1 _let_1 A)) (tptp.v9_conlat_1 _let_1 A) (tptp.l3_conlat_1 _let_1 A)))) (= (tptp.k8_funct_2 _let_1 _let_2 (tptp.k2_conlat_1 A) (tptp.k8_funct_2 _let_2 _let_1 (tptp.k1_conlat_1 A) B)) B)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_conlat_1 A)) (tptp.l2_conlat_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 (tptp.u1_conlat_1 A)))) (let ((_let_2 (tptp.k1_zfmisc_1 (tptp.u2_conlat_1 A)))) (let ((_let_3 (tptp.k8_funct_2 _let_2 _let_1 (tptp.k2_conlat_1 A) B))) (let ((_let_4 (tptp.g3_conlat_1 A _let_3 (tptp.k8_funct_2 _let_1 _let_2 (tptp.k1_conlat_1 A) _let_3)))) (=> (tptp.m1_subset_1 B _let_2) (and (not (tptp.v7_conlat_1 _let_4 A)) (tptp.v9_conlat_1 _let_4 A) (tptp.l3_conlat_1 _let_4 A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_conlat_1 A))) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 (tptp.u1_conlat_1 A)))) (let ((_let_2 (tptp.k1_zfmisc_1 (tptp.u2_conlat_1 A)))) (let ((_let_3 (tptp.g3_conlat_1 A C D))) (=> (tptp.m1_subset_1 D _let_2) (=> (and (not (tptp.v7_conlat_1 _let_3 A)) (tptp.v9_conlat_1 _let_3 A) (tptp.l3_conlat_1 _let_3 A) (tptp.r1_tarski B D)) (tptp.r1_tarski (tptp.k8_funct_2 _let_1 _let_2 (tptp.k1_conlat_1 A) (tptp.k8_funct_2 _let_2 _let_1 (tptp.k2_conlat_1 A) B)) D)))))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_conlat_1 A)) (tptp.l2_conlat_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 (tptp.u1_conlat_1 A)))) (let ((_let_2 (tptp.k1_zfmisc_1 (tptp.u2_conlat_1 A)))) (=> (tptp.m1_subset_1 B _let_2) (= (exists ((C $$unsorted)) (let ((_let_1 (tptp.g3_conlat_1 A C B))) (and (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_conlat_1 A))) (not (tptp.v7_conlat_1 _let_1 A)) (tptp.v9_conlat_1 _let_1 A) (tptp.l3_conlat_1 _let_1 A)))) (= (tptp.k8_funct_2 _let_1 _let_2 (tptp.k1_conlat_1 A) (tptp.k8_funct_2 _let_2 _let_1 (tptp.k2_conlat_1 A) B)) B)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_conlat_1 A)) (tptp.l2_conlat_1 A)) (forall ((B $$unsorted)) (=> (tptp.l3_conlat_1 B A) (= (tptp.v10_conlat_1 B A) (= (tptp.u4_conlat_1 A B) (tptp.u1_conlat_1 A))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_conlat_1 A)) (tptp.l2_conlat_1 A)) (forall ((B $$unsorted)) (=> (tptp.l3_conlat_1 B A) (= (tptp.v11_conlat_1 B A) (= (tptp.u5_conlat_1 A B) (tptp.u2_conlat_1 A))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_conlat_1 A)) (tptp.l2_conlat_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v6_conlat_1 B A) (not (tptp.v7_conlat_1 B A)) (tptp.v9_conlat_1 B A) (tptp.v10_conlat_1 B A) (tptp.l3_conlat_1 B A)) (= (= B (tptp.k5_conlat_1 A)) (exists ((C $$unsorted)) (and (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_conlat_1 A))) (exists ((D $$unsorted)) (let ((_let_1 (tptp.k1_funct_1 (tptp.k2_conlat_1 A) tptp.k1_xboole_0))) (and (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u2_conlat_1 A))) (= B (tptp.g3_conlat_1 A C D)) (= C _let_1) (= D (tptp.k1_funct_1 (tptp.k1_conlat_1 A) _let_1)))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_conlat_1 A)) (tptp.l2_conlat_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v6_conlat_1 B A) (not (tptp.v7_conlat_1 B A)) (tptp.v9_conlat_1 B A) (tptp.v11_conlat_1 B A) (tptp.l3_conlat_1 B A)) (= (= B (tptp.k6_conlat_1 A)) (exists ((C $$unsorted)) (and (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_conlat_1 A))) (exists ((D $$unsorted)) (let ((_let_1 (tptp.k1_funct_1 (tptp.k1_conlat_1 A) tptp.k1_xboole_0))) (and (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u2_conlat_1 A))) (= B (tptp.g3_conlat_1 A C D)) (= C (tptp.k1_funct_1 (tptp.k2_conlat_1 A) _let_1)) (= D _let_1))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_conlat_1 A)) (tptp.l2_conlat_1 A)) (and (= (tptp.u4_conlat_1 A (tptp.k5_conlat_1 A)) (tptp.u1_conlat_1 A)) (= (tptp.u5_conlat_1 A (tptp.k6_conlat_1 A)) (tptp.u2_conlat_1 A))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_conlat_1 A)) (tptp.l2_conlat_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v7_conlat_1 B A)) (tptp.v9_conlat_1 B A) (tptp.l3_conlat_1 B A)) (and (=> (= (tptp.u4_conlat_1 A B) tptp.k1_xboole_0) (tptp.v11_conlat_1 B A)) (=> (= (tptp.u5_conlat_1 A B) tptp.k1_xboole_0) (tptp.v10_conlat_1 B A))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_conlat_1 A)) (tptp.l2_conlat_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v6_conlat_1 B A) (not (tptp.v7_conlat_1 B A)) (tptp.v9_conlat_1 B A) (tptp.l3_conlat_1 B A)) (and (=> (= (tptp.u4_conlat_1 A B) tptp.k1_xboole_0) (= B (tptp.k6_conlat_1 A))) (=> (= (tptp.u5_conlat_1 A B) tptp.k1_xboole_0) (= B (tptp.k5_conlat_1 A)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_conlat_1 A)) (tptp.l2_conlat_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.l3_conlat_1 B A))) (=> (and (tptp.v8_conlat_1 B A) _let_1) (not (and (not (tptp.v7_conlat_1 B A)) (tptp.v9_conlat_1 B A) _let_1 (not (tptp.v10_conlat_1 B A)) (not (tptp.v11_conlat_1 B A))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_conlat_1 A)) (tptp.l2_conlat_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.l3_conlat_1 B A))) (=> (and (tptp.v8_conlat_1 B A) _let_1) (not (and (tptp.v6_conlat_1 B A) (not (tptp.v7_conlat_1 B A)) (tptp.v9_conlat_1 B A) _let_1 (not (= B (tptp.k5_conlat_1 A))) (not (= B (tptp.k6_conlat_1 A)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_conlat_1 A)) (tptp.l2_conlat_1 A)) (forall ((B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (= (tptp.m1_conlat_1 B A) (forall ((C $$unsorted)) (=> (tptp.r2_hidden C B) (and (not (tptp.v7_conlat_1 C A)) (tptp.v9_conlat_1 C A) (tptp.l3_conlat_1 C A))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_conlat_1 A)) (tptp.l2_conlat_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v7_conlat_1 B A)) (tptp.v9_conlat_1 B A) (tptp.l3_conlat_1 B A)) (forall ((C $$unsorted)) (=> (and (not (tptp.v7_conlat_1 C A)) (tptp.v9_conlat_1 C A) (tptp.l3_conlat_1 C A)) (= (tptp.r2_conlat_1 A B C) (tptp.r1_tarski (tptp.u4_conlat_1 A B) (tptp.u4_conlat_1 A C))))))))) true true (forall ((A $$unsorted)) (=> (and (not (tptp.v3_conlat_1 A)) (tptp.l2_conlat_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v7_conlat_1 B A)) (tptp.v9_conlat_1 B A) (tptp.l3_conlat_1 B A)) (forall ((C $$unsorted)) (=> (and (not (tptp.v7_conlat_1 C A)) (tptp.v9_conlat_1 C A) (tptp.l3_conlat_1 C A)) (= (tptp.r2_conlat_1 A B C) (tptp.r1_tarski (tptp.u5_conlat_1 A C) (tptp.u5_conlat_1 A B))))))))) true (forall ((A $$unsorted)) (=> (and (not (tptp.v3_conlat_1 A)) (tptp.l2_conlat_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v7_conlat_1 B A)) (tptp.v9_conlat_1 B A) (tptp.l3_conlat_1 B A)) (forall ((C $$unsorted)) (=> (and (not (tptp.v7_conlat_1 C A)) (tptp.v9_conlat_1 C A) (tptp.l3_conlat_1 C A)) (= (tptp.r2_conlat_1 A C B) (tptp.r1_tarski (tptp.u5_conlat_1 A B) (tptp.u5_conlat_1 A C))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_conlat_1 A)) (tptp.l2_conlat_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v7_conlat_1 B A)) (tptp.v9_conlat_1 B A) (tptp.l3_conlat_1 B A)) (and (tptp.r2_conlat_1 A B (tptp.k5_conlat_1 A)) (tptp.r2_conlat_1 A (tptp.k6_conlat_1 A) B)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_conlat_1 A)) (tptp.l2_conlat_1 A)) (forall ((B $$unsorted)) (= (tptp.r2_hidden B (tptp.k8_conlat_1 A)) (and (tptp.v6_conlat_1 B A) (not (tptp.v7_conlat_1 B A)) (tptp.v9_conlat_1 B A) (tptp.l3_conlat_1 B A)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_conlat_1 A)) (tptp.l2_conlat_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k8_conlat_1 A))) (let ((_let_2 (tptp.k2_zfmisc_1 _let_1 _let_1))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_2 _let_1) (tptp.m2_relset_1 B _let_2 _let_1)) (= (= B (tptp.k9_conlat_1 A)) (forall ((C $$unsorted)) (=> (and (tptp.v6_conlat_1 C A) (not (tptp.v7_conlat_1 C A)) (tptp.v9_conlat_1 C A) (tptp.l3_conlat_1 C A)) (forall ((D $$unsorted)) (=> (and (tptp.v6_conlat_1 D A) (not (tptp.v7_conlat_1 D A)) (tptp.v9_conlat_1 D A) (tptp.l3_conlat_1 D A)) (exists ((E $$unsorted)) (and (tptp.m1_subset_1 E (tptp.k1_zfmisc_1 (tptp.u1_conlat_1 A))) (exists ((F $$unsorted)) (let ((_let_1 (tptp.u2_conlat_1 A))) (let ((_let_2 (tptp.u1_conlat_1 A))) (let ((_let_3 (tptp.k1_zfmisc_1 _let_2))) (let ((_let_4 (tptp.k1_zfmisc_1 _let_1))) (and (tptp.m1_subset_1 F _let_4) (= (tptp.k1_binop_1 B C D) (tptp.g3_conlat_1 A E F)) (= E (tptp.k5_subset_1 _let_2 (tptp.u4_conlat_1 A C) (tptp.u4_conlat_1 A D))) (= F (tptp.k8_funct_2 _let_3 _let_4 (tptp.k1_conlat_1 A) (tptp.k8_funct_2 _let_4 _let_3 (tptp.k2_conlat_1 A) (tptp.k4_subset_1 _let_1 (tptp.u5_conlat_1 A C) (tptp.u5_conlat_1 A D)))))))))))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_conlat_1 A)) (tptp.l2_conlat_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k8_conlat_1 A))) (let ((_let_2 (tptp.k2_zfmisc_1 _let_1 _let_1))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_2 _let_1) (tptp.m2_relset_1 B _let_2 _let_1)) (= (= B (tptp.k10_conlat_1 A)) (forall ((C $$unsorted)) (=> (and (tptp.v6_conlat_1 C A) (not (tptp.v7_conlat_1 C A)) (tptp.v9_conlat_1 C A) (tptp.l3_conlat_1 C A)) (forall ((D $$unsorted)) (=> (and (tptp.v6_conlat_1 D A) (not (tptp.v7_conlat_1 D A)) (tptp.v9_conlat_1 D A) (tptp.l3_conlat_1 D A)) (exists ((E $$unsorted)) (and (tptp.m1_subset_1 E (tptp.k1_zfmisc_1 (tptp.u1_conlat_1 A))) (exists ((F $$unsorted)) (let ((_let_1 (tptp.u2_conlat_1 A))) (let ((_let_2 (tptp.u1_conlat_1 A))) (let ((_let_3 (tptp.k1_zfmisc_1 _let_1))) (let ((_let_4 (tptp.k1_zfmisc_1 _let_2))) (and (tptp.m1_subset_1 F _let_3) (= (tptp.k1_binop_1 B C D) (tptp.g3_conlat_1 A E F)) (= E (tptp.k8_funct_2 _let_3 _let_4 (tptp.k2_conlat_1 A) (tptp.k8_funct_2 _let_4 _let_3 (tptp.k1_conlat_1 A) (tptp.k4_subset_1 _let_2 (tptp.u4_conlat_1 A C) (tptp.u4_conlat_1 A D))))) (= F (tptp.k5_subset_1 _let_1 (tptp.u5_conlat_1 A C) (tptp.u5_conlat_1 A D)))))))))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_conlat_1 A)) (tptp.l2_conlat_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v6_conlat_1 B A) (not (tptp.v7_conlat_1 B A)) (tptp.v9_conlat_1 B A) (tptp.l3_conlat_1 B A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k9_conlat_1 A))) (=> (and (tptp.v6_conlat_1 C A) (not (tptp.v7_conlat_1 C A)) (tptp.v9_conlat_1 C A) (tptp.l3_conlat_1 C A)) (= (tptp.k1_binop_1 _let_1 B C) (tptp.k1_binop_1 _let_1 C B))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_conlat_1 A)) (tptp.l2_conlat_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v6_conlat_1 B A) (not (tptp.v7_conlat_1 B A)) (tptp.v9_conlat_1 B A) (tptp.l3_conlat_1 B A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k10_conlat_1 A))) (=> (and (tptp.v6_conlat_1 C A) (not (tptp.v7_conlat_1 C A)) (tptp.v9_conlat_1 C A) (tptp.l3_conlat_1 C A)) (= (tptp.k1_binop_1 _let_1 B C) (tptp.k1_binop_1 _let_1 C B))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_conlat_1 A)) (tptp.l2_conlat_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v6_conlat_1 B A) (not (tptp.v7_conlat_1 B A)) (tptp.v9_conlat_1 B A) (tptp.l3_conlat_1 B A)) (forall ((C $$unsorted)) (=> (and (tptp.v6_conlat_1 C A) (not (tptp.v7_conlat_1 C A)) (tptp.v9_conlat_1 C A) (tptp.l3_conlat_1 C A)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k9_conlat_1 A))) (=> (and (tptp.v6_conlat_1 D A) (not (tptp.v7_conlat_1 D A)) (tptp.v9_conlat_1 D A) (tptp.l3_conlat_1 D A)) (= (tptp.k1_binop_1 _let_1 B (tptp.k1_binop_1 _let_1 C D)) (tptp.k1_binop_1 _let_1 (tptp.k1_binop_1 _let_1 B C) D))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_conlat_1 A)) (tptp.l2_conlat_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v6_conlat_1 B A) (not (tptp.v7_conlat_1 B A)) (tptp.v9_conlat_1 B A) (tptp.l3_conlat_1 B A)) (forall ((C $$unsorted)) (=> (and (tptp.v6_conlat_1 C A) (not (tptp.v7_conlat_1 C A)) (tptp.v9_conlat_1 C A) (tptp.l3_conlat_1 C A)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k10_conlat_1 A))) (=> (and (tptp.v6_conlat_1 D A) (not (tptp.v7_conlat_1 D A)) (tptp.v9_conlat_1 D A) (tptp.l3_conlat_1 D A)) (= (tptp.k1_binop_1 _let_1 B (tptp.k1_binop_1 _let_1 C D)) (tptp.k1_binop_1 _let_1 (tptp.k1_binop_1 _let_1 B C) D))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_conlat_1 A)) (tptp.l2_conlat_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v6_conlat_1 B A) (not (tptp.v7_conlat_1 B A)) (tptp.v9_conlat_1 B A) (tptp.l3_conlat_1 B A)) (forall ((C $$unsorted)) (=> (and (tptp.v6_conlat_1 C A) (not (tptp.v7_conlat_1 C A)) (tptp.v9_conlat_1 C A) (tptp.l3_conlat_1 C A)) (= (tptp.k1_binop_1 (tptp.k10_conlat_1 A) (tptp.k1_binop_1 (tptp.k9_conlat_1 A) B C) C) C))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_conlat_1 A)) (tptp.l2_conlat_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v6_conlat_1 B A) (not (tptp.v7_conlat_1 B A)) (tptp.v9_conlat_1 B A) (tptp.l3_conlat_1 B A)) (forall ((C $$unsorted)) (=> (and (tptp.v6_conlat_1 C A) (not (tptp.v7_conlat_1 C A)) (tptp.v9_conlat_1 C A) (tptp.l3_conlat_1 C A)) (= (tptp.k1_binop_1 (tptp.k9_conlat_1 A) B (tptp.k1_binop_1 (tptp.k10_conlat_1 A) B C)) B))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_conlat_1 A)) (tptp.l2_conlat_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v6_conlat_1 B A) (not (tptp.v7_conlat_1 B A)) (tptp.v9_conlat_1 B A) (tptp.l3_conlat_1 B A)) (= (tptp.k1_binop_1 (tptp.k9_conlat_1 A) B (tptp.k5_conlat_1 A)) B))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_conlat_1 A)) (tptp.l2_conlat_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k5_conlat_1 A))) (=> (and (tptp.v6_conlat_1 B A) (not (tptp.v7_conlat_1 B A)) (tptp.v9_conlat_1 B A) (tptp.l3_conlat_1 B A)) (= (tptp.k1_binop_1 (tptp.k10_conlat_1 A) B _let_1) _let_1)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_conlat_1 A)) (tptp.l2_conlat_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v6_conlat_1 B A) (not (tptp.v7_conlat_1 B A)) (tptp.v9_conlat_1 B A) (tptp.l3_conlat_1 B A)) (= (tptp.k1_binop_1 (tptp.k10_conlat_1 A) B (tptp.k6_conlat_1 A)) B))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_conlat_1 A)) (tptp.l2_conlat_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k6_conlat_1 A))) (=> (and (tptp.v6_conlat_1 B A) (not (tptp.v7_conlat_1 B A)) (tptp.v9_conlat_1 B A) (tptp.l3_conlat_1 B A)) (= (tptp.k1_binop_1 (tptp.k9_conlat_1 A) B _let_1) _let_1)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_conlat_1 A)) (tptp.l2_conlat_1 A)) (= (tptp.k11_conlat_1 A) (tptp.g3_lattices (tptp.k8_conlat_1 A) (tptp.k10_conlat_1 A) (tptp.k9_conlat_1 A))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k11_conlat_1 A))) (=> (and (not (tptp.v3_conlat_1 A)) (tptp.l2_conlat_1 A)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v10_lattices _let_1) (tptp.l3_lattices _let_1))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_conlat_1 A)) (tptp.l2_conlat_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 (tptp.k11_conlat_1 A))) (= (tptp.k12_conlat_1 A B) B))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_conlat_1 A)) (tptp.l2_conlat_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 (tptp.k11_conlat_1 A))) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k11_conlat_1 A))) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 _let_1)) (= (tptp.r3_lattices _let_1 B C) (tptp.r2_conlat_1 A (tptp.k12_conlat_1 A B) (tptp.k12_conlat_1 A C)))))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k11_conlat_1 A))) (=> (and (not (tptp.v3_conlat_1 A)) (tptp.l2_conlat_1 A)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v10_lattices _let_1) (tptp.v4_lattice3 _let_1) (tptp.l3_lattices _let_1))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_conlat_1 A)) (tptp.l2_conlat_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_conlat_1 B A) (not (tptp.v1_xboole_0 B)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_conlat_1 A)) (tptp.l2_conlat_1 A)) (exists ((B $$unsorted)) (tptp.m1_conlat_1 B A)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_conlat_1 A)) (tptp.l2_conlat_1 A) (tptp.m1_conlat_1 B A)) (forall ((C $$unsorted)) (=> (tptp.m2_conlat_1 C A B) (and (not (tptp.v7_conlat_1 C A)) (tptp.v9_conlat_1 C A) (tptp.l3_conlat_1 C A)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_conlat_1 A)) (tptp.l2_conlat_1 A) (tptp.m1_conlat_1 B A)) (exists ((C $$unsorted)) (tptp.m2_conlat_1 C A B)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_conlat_1 A)) (tptp.l2_conlat_1 A) (tptp.m1_conlat_1 B A)) (forall ((C $$unsorted)) (= (tptp.m2_conlat_1 C A B) (tptp.m1_subset_1 C B))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_conlat_1 A)) (tptp.l2_conlat_1 A) (not (tptp.v1_xboole_0 B)) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 (tptp.k11_conlat_1 A))))) (forall ((C $$unsorted)) (=> (tptp.m3_conlat_1 C A B) (and (not (tptp.v7_conlat_1 C A)) (tptp.v9_conlat_1 C A) (tptp.l3_conlat_1 C A)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_conlat_1 A)) (tptp.l2_conlat_1 A) (not (tptp.v1_xboole_0 B)) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 (tptp.k11_conlat_1 A))))) (exists ((C $$unsorted)) (tptp.m3_conlat_1 C A B)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_conlat_1 A)) (tptp.l2_conlat_1 A) (not (tptp.v1_xboole_0 B)) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 (tptp.k11_conlat_1 A))))) (forall ((C $$unsorted)) (= (tptp.m3_conlat_1 C A B) (tptp.m1_subset_1 C B))))) true (exists ((A $$unsorted)) (tptp.l1_conlat_1 A)) (forall ((A $$unsorted)) (=> (tptp.l2_conlat_1 A) (tptp.l1_conlat_1 A))) (exists ((A $$unsorted)) (tptp.l2_conlat_1 A)) true (forall ((A $$unsorted)) (=> (tptp.l1_conlat_1 A) (exists ((B $$unsorted)) (tptp.l3_conlat_1 B A)))) (forall ((A $$unsorted)) (=> (tptp.l1_conlat_1 A) (=> (tptp.v1_conlat_1 A) (= A (tptp.g1_conlat_1 (tptp.u1_conlat_1 A) (tptp.u2_conlat_1 A)))))) (forall ((A $$unsorted)) (=> (tptp.l2_conlat_1 A) (=> (tptp.v4_conlat_1 A) (= A (tptp.g2_conlat_1 (tptp.u1_conlat_1 A) (tptp.u2_conlat_1 A) (tptp.u3_conlat_1 A)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.l1_conlat_1 A) (tptp.l3_conlat_1 B A)) (=> (tptp.v6_conlat_1 B A) (= B (tptp.g3_conlat_1 A (tptp.u4_conlat_1 A B) (tptp.u5_conlat_1 A B)))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 (tptp.u2_conlat_1 A)))) (let ((_let_2 (tptp.k1_zfmisc_1 (tptp.u1_conlat_1 A)))) (let ((_let_3 (tptp.k1_conlat_1 A))) (=> (and (not (tptp.v3_conlat_1 A)) (tptp.l2_conlat_1 A)) (and (tptp.v1_funct_1 _let_3) (tptp.v1_funct_2 _let_3 _let_2 _let_1) (tptp.m2_relset_1 _let_3 _let_2 _let_1))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 (tptp.u1_conlat_1 A)))) (let ((_let_2 (tptp.k1_zfmisc_1 (tptp.u2_conlat_1 A)))) (let ((_let_3 (tptp.k2_conlat_1 A))) (=> (and (not (tptp.v3_conlat_1 A)) (tptp.l2_conlat_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 $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 (tptp.k3_yellow_1 (tptp.u2_conlat_1 A))))) (let ((_let_2 (tptp.u1_struct_0 (tptp.k3_yellow_1 (tptp.u1_conlat_1 A))))) (let ((_let_3 (tptp.k3_conlat_1 A))) (=> (and (not (tptp.v3_conlat_1 A)) (tptp.l2_conlat_1 A)) (and (tptp.v1_funct_1 _let_3) (tptp.v1_funct_2 _let_3 _let_2 _let_1) (tptp.m2_relset_1 _let_3 _let_2 _let_1))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 (tptp.k3_yellow_1 (tptp.u1_conlat_1 A))))) (let ((_let_2 (tptp.u1_struct_0 (tptp.k3_yellow_1 (tptp.u2_conlat_1 A))))) (let ((_let_3 (tptp.k4_conlat_1 A))) (=> (and (not (tptp.v3_conlat_1 A)) (tptp.l2_conlat_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 $$unsorted)) (let ((_let_1 (tptp.k5_conlat_1 A))) (=> (and (not (tptp.v3_conlat_1 A)) (tptp.l2_conlat_1 A)) (and (tptp.v6_conlat_1 _let_1 A) (not (tptp.v7_conlat_1 _let_1 A)) (tptp.v9_conlat_1 _let_1 A) (tptp.v10_conlat_1 _let_1 A) (tptp.l3_conlat_1 _let_1 A))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k6_conlat_1 A))) (=> (and (not (tptp.v3_conlat_1 A)) (tptp.l2_conlat_1 A)) (and (tptp.v6_conlat_1 _let_1 A) (not (tptp.v7_conlat_1 _let_1 A)) (tptp.v9_conlat_1 _let_1 A) (tptp.v11_conlat_1 _let_1 A) (tptp.l3_conlat_1 _let_1 A))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_conlat_1 A)) (tptp.l2_conlat_1 A)) (not (tptp.v1_xboole_0 (tptp.k7_conlat_1 A))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_conlat_1 A)) (tptp.l2_conlat_1 A)) (tptp.m1_conlat_1 (tptp.k8_conlat_1 A) A))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_conlat_1 A)) (tptp.l2_conlat_1 A)) (= (tptp.k8_conlat_1 A) (tptp.k7_conlat_1 A)))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k8_conlat_1 A))) (let ((_let_2 (tptp.k2_zfmisc_1 _let_1 _let_1))) (let ((_let_3 (tptp.k9_conlat_1 A))) (=> (and (not (tptp.v3_conlat_1 A)) (tptp.l2_conlat_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 $$unsorted)) (let ((_let_1 (tptp.k8_conlat_1 A))) (let ((_let_2 (tptp.k2_zfmisc_1 _let_1 _let_1))) (let ((_let_3 (tptp.k10_conlat_1 A))) (=> (and (not (tptp.v3_conlat_1 A)) (tptp.l2_conlat_1 A)) (and (tptp.v1_funct_1 _let_3) (tptp.v1_funct_2 _let_3 _let_2 _let_1) (tptp.m2_relset_1 _let_3 _let_2 _let_1))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k11_conlat_1 A))) (=> (and (not (tptp.v3_conlat_1 A)) (tptp.l2_conlat_1 A)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v3_lattices _let_1) (tptp.l3_lattices _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k12_conlat_1 A B))) (=> (and (not (tptp.v3_conlat_1 A)) (tptp.l2_conlat_1 A) (tptp.m1_subset_1 B (tptp.u1_struct_0 (tptp.k11_conlat_1 A)))) (and (tptp.v6_conlat_1 _let_1 A) (not (tptp.v7_conlat_1 _let_1 A)) (tptp.v9_conlat_1 _let_1 A) (tptp.l3_conlat_1 _let_1 A))))) true true (forall ((A $$unsorted)) (=> (tptp.l2_conlat_1 A) (tptp.m2_relset_1 (tptp.u3_conlat_1 A) (tptp.u1_conlat_1 A) (tptp.u2_conlat_1 A)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.l1_conlat_1 A) (tptp.l3_conlat_1 B A)) (tptp.m1_subset_1 (tptp.u4_conlat_1 A B) (tptp.k1_zfmisc_1 (tptp.u1_conlat_1 A))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.l1_conlat_1 A) (tptp.l3_conlat_1 B A)) (tptp.m1_subset_1 (tptp.u5_conlat_1 A B) (tptp.k1_zfmisc_1 (tptp.u2_conlat_1 A))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.g1_conlat_1 A B))) (and (tptp.v1_conlat_1 _let_1) (tptp.l1_conlat_1 _let_1)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (= (tptp.g1_conlat_1 A B) (tptp.g1_conlat_1 C D)) (and (= A C) (= B D)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.g2_conlat_1 A B C))) (=> (tptp.m1_relset_1 C A B) (and (tptp.v4_conlat_1 _let_1) (tptp.l2_conlat_1 _let_1))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.m1_relset_1 C A B) (forall ((D $$unsorted) (E $$unsorted) (F $$unsorted)) (=> (= (tptp.g2_conlat_1 A B C) (tptp.g2_conlat_1 D E F)) (and (= A D) (= B E) (= C F)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.g3_conlat_1 A B C))) (=> (and (tptp.l1_conlat_1 A) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_conlat_1 A))) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u2_conlat_1 A)))) (and (tptp.v6_conlat_1 _let_1 A) (tptp.l3_conlat_1 _let_1 A))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.l1_conlat_1 A) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_conlat_1 A))) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u2_conlat_1 A)))) (forall ((D $$unsorted) (E $$unsorted) (F $$unsorted)) (=> (= (tptp.g3_conlat_1 A B C) (tptp.g3_conlat_1 D E F)) (and (= A D) (= B E) (= C F)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_conlat_1 A)) (tptp.l2_conlat_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 (tptp.u2_conlat_1 A)))) (let ((_let_2 (tptp.k1_zfmisc_1 (tptp.u1_conlat_1 A)))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_2 _let_1) (tptp.m2_relset_1 B _let_2 _let_1)) (= (= B (tptp.k1_conlat_1 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 (tptp.u1_conlat_1 A)))) (=> (tptp.m1_subset_1 C _let_1) (= (tptp.k8_funct_2 _let_1 (tptp.k1_zfmisc_1 (tptp.u2_conlat_1 A)) B C) (tptp.a_2_0_conlat_1 A C)))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_conlat_1 A)) (tptp.l2_conlat_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 (tptp.u1_conlat_1 A)))) (let ((_let_2 (tptp.k1_zfmisc_1 (tptp.u2_conlat_1 A)))) (=> (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.k2_conlat_1 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 (tptp.u2_conlat_1 A)))) (=> (tptp.m1_subset_1 C _let_1) (= (tptp.k8_funct_2 _let_1 (tptp.k1_zfmisc_1 (tptp.u1_conlat_1 A)) B C) (tptp.a_2_1_conlat_1 A C)))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_conlat_1 A)) (tptp.l2_conlat_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_conlat_1 A)) (= (tptp.k1_funct_1 (tptp.k1_conlat_1 A) (tptp.k1_tarski B)) (tptp.a_2_2_conlat_1 A B)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_conlat_1 A)) (tptp.l2_conlat_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u2_conlat_1 A)) (= (tptp.k1_funct_1 (tptp.k2_conlat_1 A) (tptp.k1_tarski B)) (tptp.a_2_3_conlat_1 A B)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_conlat_1 A)) (tptp.l2_conlat_1 A)) (= (tptp.k7_conlat_1 A) (tptp.a_1_0_conlat_1 A)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v3_conlat_1 B)) (tptp.l2_conlat_1 B) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_conlat_1 B)))) (= (tptp.r2_hidden A (tptp.a_2_0_conlat_1 B C)) (exists ((D $$unsorted)) (and (tptp.m1_subset_1 D (tptp.u2_conlat_1 B)) (= A D) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.u1_conlat_1 B)) (=> (tptp.r2_hidden E C) (tptp.r1_conlat_1 B E D))))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v3_conlat_1 B)) (tptp.l2_conlat_1 B) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u2_conlat_1 B)))) (= (tptp.r2_hidden A (tptp.a_2_1_conlat_1 B C)) (exists ((D $$unsorted)) (and (tptp.m1_subset_1 D (tptp.u1_conlat_1 B)) (= A D) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.u2_conlat_1 B)) (=> (tptp.r2_hidden E C) (tptp.r1_conlat_1 B D E))))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v3_conlat_1 B)) (tptp.l2_conlat_1 B) (tptp.m1_subset_1 C (tptp.u1_conlat_1 B))) (= (tptp.r2_hidden A (tptp.a_2_2_conlat_1 B C)) (exists ((D $$unsorted)) (and (tptp.m1_subset_1 D (tptp.u2_conlat_1 B)) (= A D) (tptp.r1_conlat_1 B C D)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v3_conlat_1 B)) (tptp.l2_conlat_1 B) (tptp.m1_subset_1 C (tptp.u2_conlat_1 B))) (= (tptp.r2_hidden A (tptp.a_2_3_conlat_1 B C)) (exists ((D $$unsorted)) (and (tptp.m1_subset_1 D (tptp.u1_conlat_1 B)) (= A D) (tptp.r1_conlat_1 B D C)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_conlat_1 B)) (tptp.l2_conlat_1 B)) (= (tptp.r2_hidden A (tptp.a_1_0_conlat_1 B)) (exists ((C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 (tptp.u1_conlat_1 B)))) (let ((_let_2 (tptp.k1_zfmisc_1 (tptp.u2_conlat_1 B)))) (let ((_let_3 (tptp.g3_conlat_1 B C D))) (and (tptp.m1_subset_1 C _let_1) (tptp.m1_subset_1 D _let_2) (= A _let_3) (not (tptp.v7_conlat_1 _let_3 B)) (= (tptp.k8_funct_2 _let_1 _let_2 (tptp.k1_conlat_1 B) C) D) (= (tptp.k8_funct_2 _let_2 _let_1 (tptp.k2_conlat_1 B) D) C))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v6_group_1 A) (tptp.l1_struct_0 A)) (tptp.v1_finset_1 (tptp.u1_struct_0 A)))) (forall ((A $$unsorted)) (=> (and (tptp.v3_realset2 A) (tptp.l1_struct_0 A)) (tptp.v1_realset1 (tptp.u1_struct_0 A)))) (forall ((A $$unsorted)) (=> (tptp.v1_realset1 A) (tptp.v1_finset_1 A))) (forall ((A $$unsorted)) (=> (tptp.l1_struct_0 A) (=> (tptp.v3_realset2 A) (tptp.v6_group_1 A)))) (forall ((A $$unsorted)) (=> (tptp.l1_struct_0 A) (=> (not (tptp.v3_realset2 A)) (not (tptp.v3_struct_0 A))))) (exists ((A $$unsorted)) (and (tptp.l1_struct_0 A) (tptp.v1_struct_0 A) (not (tptp.v3_struct_0 A)) (tptp.v6_group_1 A) (tptp.v3_realset2 A))) (exists ((A $$unsorted)) (and (tptp.l1_orders_2 A) (not (tptp.v3_struct_0 A)) (tptp.v1_orders_2 A) (tptp.v6_group_1 A) (tptp.v3_realset2 A))) (exists ((A $$unsorted)) (and (tptp.l1_waybel_9 A) (not (tptp.v3_struct_0 A)) (tptp.v1_waybel_9 A) (tptp.v6_group_1 A) (tptp.v3_realset2 A))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.v1_urysohn1 A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (tptp.v1_finset_1 B) (tptp.v4_pre_topc B A)))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k2_pre_topc A))) (=> (and (tptp.v2_compts_1 A) (tptp.l1_pre_topc A)) (and (tptp.v1_tops_1 _let_1 A) (tptp.v6_compts_1 _let_1 A))))) (exists ((A $$unsorted)) (and (tptp.l1_pre_topc A) (not (tptp.v3_struct_0 A)) (tptp.v1_pre_topc A) (tptp.v2_pre_topc A) (tptp.v1_tdlat_3 A) (tptp.v2_tdlat_3 A) (tptp.v3_tdlat_3 A) (tptp.v4_tdlat_3 A) (tptp.v5_tdlat_3 A) (tptp.v6_group_1 A) (tptp.v3_realset2 A))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.v2_pre_topc A))) (let ((_let_2 (not (tptp.v3_struct_0 A)))) (=> (tptp.l1_pre_topc A) (=> (and _let_2 _let_1 (tptp.v1_urysohn1 A) (tptp.v6_group_1 A)) (and _let_2 _let_1 (tptp.v1_tdlat_3 A) (tptp.v3_tdlat_3 A) (tptp.v4_tdlat_3 A) (tptp.v5_tdlat_3 A))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.v2_pre_topc A))) (=> (tptp.l1_pre_topc A) (=> (and _let_1 (tptp.v6_group_1 A)) (and _let_1 (tptp.v2_compts_1 A)))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.v2_pre_topc A))) (=> (tptp.l1_pre_topc A) (=> (and (not (tptp.v3_struct_0 A)) _let_1 (tptp.v1_tdlat_3 A)) (and _let_1 (tptp.v1_urysohn1 A) (tptp.v3_compts_1 A) (tptp.v4_compts_1 A) (tptp.v5_compts_1 A)))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.v2_pre_topc A))) (let ((_let_2 (not (tptp.v3_struct_0 A)))) (=> (tptp.l1_pre_topc A) (=> (and _let_2 _let_1 (tptp.v1_urysohn1 A) (tptp.v5_compts_1 A)) (and _let_2 _let_1 (tptp.v4_compts_1 A))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.v2_pre_topc A))) (=> (tptp.l1_pre_topc A) (=> (and _let_1 (tptp.v1_urysohn1 A) (tptp.v4_compts_1 A)) (and _let_1 (tptp.v3_compts_1 A)))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.v2_pre_topc A))) (=> (tptp.l1_pre_topc A) (=> (and _let_1 (tptp.v3_compts_1 A)) (and _let_1 (tptp.v1_urysohn1 A)))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.v2_pre_topc A))) (=> (tptp.l1_pre_topc A) (=> (and _let_1 (tptp.v1_urysohn1 A)) (and _let_1 (tptp.v2_t_0topsp A)))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k2_yellow_1 (tptp.k8_waybel_0 A)))) (let ((_let_2 (tptp.k4_yellow_2 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.l1_orders_2 A)) (and (tptp.v1_relat_1 _let_2) (tptp.v1_funct_1 _let_2) (tptp.v2_funct_1 _let_2) (tptp.v1_funct_2 _let_2 (tptp.u1_struct_0 A) (tptp.u1_struct_0 _let_1)) (tptp.v5_orders_3 _let_2 A _let_1)))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k2_yellow_1 (tptp.k8_waybel_0 A)))) (let ((_let_2 (tptp.k3_yellow_2 A))) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v6_group_1 A) (tptp.l1_orders_2 A)) (and (tptp.v1_relat_1 _let_2) (tptp.v1_funct_1 _let_2) (tptp.v2_funct_1 _let_2) (tptp.v1_funct_2 _let_2 (tptp.u1_struct_0 _let_1) (tptp.u1_struct_0 A)) (tptp.v5_orders_3 _let_2 _let_1 A)))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k4_waybel_1 A B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v3_lattice3 A) (tptp.l1_orders_2 A) (tptp.m1_subset_1 B _let_2)) (and (not (tptp.v1_xboole_0 _let_1)) (tptp.v1_relat_1 _let_1) (tptp.v1_funct_1 _let_1) (tptp.v1_funct_2 _let_1 _let_2 _let_2) (tptp.v1_partfun1 _let_1 _let_2 _let_2) (tptp.v19_waybel_0 _let_1 A A) (tptp.v5_orders_3 _let_1 A A)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A) (tptp.m1_subset_1 B (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (=> (tptp.m1_yellow13 C A B) (not (tptp.v1_xboole_0 C)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.l1_pre_topc A) (tptp.m1_subset_1 B (tptp.u1_struct_0 A))) (exists ((C $$unsorted)) (and (tptp.m1_yellow13 C A B) (not (tptp.v1_xboole_0 C)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.l1_pre_topc A) (tptp.m1_subset_1 B (tptp.u1_struct_0 A))) (exists ((C $$unsorted)) (and (tptp.m1_yellow13 C A B) (tptp.v1_yellow13 C A B))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A) (tptp.m1_subset_1 B (tptp.u1_struct_0 A))) (exists ((C $$unsorted)) (and (tptp.m1_yellow13 C A B) (not (tptp.v1_xboole_0 C)) (tptp.v1_yellow13 C A B))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m2_yellow13 B A) (not (tptp.v1_xboole_0 B)))))) (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (exists ((B $$unsorted)) (and (tptp.m2_yellow13 B A) (not (tptp.v1_xboole_0 B)))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.v2_pre_topc A))) (let ((_let_2 (not (tptp.v3_struct_0 A)))) (=> (tptp.l1_waybel_9 A) (=> (and _let_2 _let_1 (tptp.v2_orders_2 A) (tptp.v3_realset2 A)) (and _let_2 _let_1 (tptp.v2_yellow13 A))))))) (exists ((A $$unsorted)) (and (tptp.l1_waybel_9 A) (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.v1_tdlat_3 A) (tptp.v2_tdlat_3 A) (tptp.v3_tdlat_3 A) (tptp.v4_tdlat_3 A) (tptp.v5_tdlat_3 A) (tptp.v2_t_0topsp A) (tptp.v1_urysohn1 A) (tptp.v3_yellow_8 A) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_yellow_0 A) (tptp.v2_yellow_0 A) (tptp.v3_yellow_0 A) (tptp.v16_waybel_0 A) (tptp.v24_waybel_0 A) (tptp.v25_waybel_0 A) (tptp.v2_waybel_3 A) (tptp.v3_waybel_3 A) (tptp.v6_waybel_3 A) (tptp.v2_compts_1 A) (tptp.v3_compts_1 A) (tptp.v4_compts_1 A) (tptp.v5_compts_1 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_lattice3 A) (tptp.v6_group_1 A) (tptp.v3_realset2 A) (tptp.v2_yellow13 A))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k4_waybel_1 A B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.v2_yellow13 A) (tptp.l1_waybel_9 A) (tptp.m1_subset_1 B _let_2)) (and (tptp.v1_relat_1 _let_1) (tptp.v1_funct_1 _let_1) (tptp.v1_funct_2 _let_1 _let_2 _let_2) (tptp.v5_pre_topc _let_1 A A)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.v1_urysohn1 A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_finset_1 B) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (tptp.v4_pre_topc B A))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.v1_tdlat_3 A) (tptp.l1_pre_topc A)) (tptp.v5_compts_1 A))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.v1_tdlat_3 A) (tptp.l1_pre_topc A)) (tptp.v4_compts_1 A))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.v1_tdlat_3 A) (tptp.l1_pre_topc A)) (tptp.v3_compts_1 A))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.v1_tdlat_3 A) (tptp.l1_pre_topc A)) (tptp.v1_urysohn1 A))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.l1_orders_2 B)) (forall ((C $$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)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (tptp.r1_tarski (tptp.k4_waybel_0 B (tptp.k4_pre_topc A B C D)) (tptp.k4_waybel_0 B (tptp.k4_pre_topc A B C (tptp.k4_waybel_0 A D)))))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.l1_orders_2 B)) (forall ((C $$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)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (tptp.v5_orders_3 C A B) (= (tptp.k4_waybel_0 B (tptp.k4_pre_topc A B C D)) (tptp.k4_waybel_0 B (tptp.k4_pre_topc A B C (tptp.k4_waybel_0 A D))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.l1_orders_2 A)) (tptp.v2_funct_1 (tptp.k4_yellow_2 A)))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v6_group_1 A) (tptp.l1_orders_2 A)) (tptp.v2_funct_1 (tptp.k3_yellow_2 A)))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v6_group_1 A) (tptp.l1_orders_2 A)) (tptp.r5_waybel_1 A (tptp.k2_yellow_1 (tptp.k8_waybel_0 A))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v3_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (and (not (tptp.v1_xboole_0 C)) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (tptp.r3_waybel_0 A A (tptp.k4_waybel_1 A B) C))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v3_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (tptp.v19_waybel_0 (tptp.k4_waybel_1 A B) A A))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_tdlat_3 A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 B _let_1) (tptp.m1_yellow_8 (tptp.k1_tarski _let_1) A B)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_tdlat_3 A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_yellow_8 C A B) (= C (tptp.k1_tarski (tptp.u1_struct_0 A))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_pre_topc A)) (forall ((B $$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_yellow_8 D A C) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (not (and (tptp.r2_hidden E D) (tptp.r1_xboole_0 B E)))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 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)) (exists ((D $$unsorted)) (and (tptp.m1_yellow_8 D A C) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (not (and (tptp.r2_hidden E D) (tptp.r1_xboole_0 B E)))))))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (= (tptp.m1_yellow13 C A B) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (not (and (tptp.r2_hidden B (tptp.k1_tops_1 A D)) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (not (and (tptp.r2_hidden E C) (tptp.r2_hidden B (tptp.k1_tops_1 A E)) (tptp.r1_tarski E D)))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (= (tptp.m1_yellow13 C A B) (forall ((D $$unsorted)) (=> (tptp.m1_connsp_2 D A B) (exists ((E $$unsorted)) (and (tptp.m1_connsp_2 E A B) (tptp.r2_hidden E C) (tptp.r1_tarski E 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 _let_1) (tptp.m1_yellow13 (tptp.k1_zfmisc_1 _let_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)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_yellow13 C A B) (not (tptp.v1_xboole_0 C)))))))) (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_yellow13 C A B) (= (tptp.v1_yellow13 C A B) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (tptp.r2_hidden D C) (tptp.r2_hidden B (tptp.k1_tops_1 A D)))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_tdlat_3 A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.k1_tarski _let_1))) (=> (tptp.m1_subset_1 B _let_1) (and (tptp.v1_yellow13 _let_2 A B) (tptp.m1_yellow13 _let_2 A B)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_tdlat_3 A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (and (tptp.v1_yellow13 C A B) (tptp.m1_yellow13 C A B)) (= C (tptp.k1_tarski (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)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_yellow_8 C A B) (tptp.m1_yellow13 C A B))))))) (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (= (tptp.m2_yellow13 B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (tptp.m1_yellow13 B A C)))))))) (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (tptp.m2_yellow13 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)) A))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m2_yellow13 B A) (not (tptp.v1_xboole_0 B)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m2_yellow13 B A) (tptp.r1_tarski (tptp.u1_pre_topc A) (tptp.k1_cantor_1 (tptp.u1_struct_0 A) (tptp.k1_tdlat_2 A B))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_cantor_1 B A) (tptp.m2_yellow13 B A))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_waybel_9 A)) (= (tptp.v2_yellow13 A) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k6_borsuk_1 A A))) (let ((_let_2 (tptp.u1_struct_0 A))) (let ((_let_3 (tptp.u1_struct_0 _let_1))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_3 _let_2) (tptp.m2_relset_1 B _let_3 _let_2)) (=> (= B (tptp.k4_waybel_2 A)) (tptp.v5_pre_topc B _let_1 A)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.v2_yellow13 A) (tptp.l1_waybel_9 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (tptp.v5_pre_topc (tptp.k4_waybel_1 A B) A A))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.l1_pre_topc A) (tptp.m1_subset_1 B (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (=> (tptp.m1_yellow13 C A B) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.l1_pre_topc A) (tptp.m1_subset_1 B (tptp.u1_struct_0 A))) (exists ((C $$unsorted)) (tptp.m1_yellow13 C A B)))) (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (forall ((B $$unsorted)) (=> (tptp.m2_yellow13 B A) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))))))) (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (exists ((B $$unsorted)) (tptp.m2_yellow13 B A)))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_cantor_1 B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (tptp.m1_yellow_8 (tptp.a_3_0_yellow13 A B C) A C))))))) (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (forall ((B $$unsorted)) (let ((_let_1 (tptp.a_2_0_yellow13 A B))) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (and (tptp.v1_yellow13 _let_1 A B) (tptp.m1_yellow13 _let_1 A B))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_pre_topc B) (tptp.l1_pre_topc B) (tptp.m1_cantor_1 C B) (tptp.m1_subset_1 D (tptp.u1_struct_0 B))) (= (tptp.r2_hidden A (tptp.a_3_0_yellow13 B C D)) (exists ((E $$unsorted)) (and (tptp.m1_subset_1 E (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B))) (= A E) (tptp.r2_hidden E C) (tptp.r2_hidden D E)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.l1_pre_topc B) (tptp.m1_subset_1 C (tptp.u1_struct_0 B))) (= (tptp.r2_hidden A (tptp.a_2_0_yellow13 B C)) (exists ((D $$unsorted)) (and (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B))) (= A D) (tptp.r2_hidden C (tptp.k1_tops_1 B D))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (tptp.v3_waybel23 B A) (tptp.v1_waybel23 B A)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (tptp.v4_waybel23 B A) (tptp.v2_waybel23 B A)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (exists ((B $$unsorted)) (and (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (not (tptp.v1_xboole_0 B)) (tptp.v1_waybel23 B A) (tptp.v2_waybel23 B A) (tptp.v3_waybel23 B A) (tptp.v4_waybel23 B A))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k5_yellow_0 A B))) (=> (and (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 A) (not (tptp.v1_xboole_0 B)) (tptp.v1_waybel23 B A) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v1_orders_2 _let_1) (tptp.v3_orders_2 _let_1) (tptp.v4_orders_2 _let_1) (tptp.v2_lattice3 _let_1) (tptp.v4_yellow_0 _let_1 A))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k5_yellow_0 A B))) (=> (and (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.l1_orders_2 A) (not (tptp.v1_xboole_0 B)) (tptp.v2_waybel23 B A) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v1_orders_2 _let_1) (tptp.v3_orders_2 _let_1) (tptp.v4_orders_2 _let_1) (tptp.v1_lattice3 _let_1) (tptp.v4_yellow_0 _let_1 A))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (tptp.v1_waybel23 B A) (tptp.v2_waybel_0 B A)))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (tptp.v2_waybel23 B A) (tptp.v1_waybel_0 B A)))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k6_waybel_0 A B))) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.l1_orders_2 A) (tptp.m1_subset_1 B (tptp.u1_struct_0 A))) (and (not (tptp.v1_xboole_0 _let_1)) (tptp.v1_waybel_0 _let_1 A) (tptp.v12_waybel_0 _let_1 A) (tptp.v2_waybel23 _let_1 A))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k7_waybel_0 A B))) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.l1_orders_2 A) (tptp.m1_subset_1 B (tptp.u1_struct_0 A))) (and (not (tptp.v1_xboole_0 _let_1)) (tptp.v1_waybel_0 _let_1 A) (tptp.v2_waybel_0 _let_1 A) (tptp.v13_waybel_0 _let_1 A) (tptp.v2_waybel23 _let_1 A))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k6_waybel_0 A B))) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 A) (tptp.m1_subset_1 B (tptp.u1_struct_0 A))) (and (not (tptp.v1_xboole_0 _let_1)) (tptp.v1_waybel_0 _let_1 A) (tptp.v2_waybel_0 _let_1 A) (tptp.v12_waybel_0 _let_1 A) (tptp.v1_waybel23 _let_1 A))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k7_waybel_0 A B))) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 A) (tptp.m1_subset_1 B (tptp.u1_struct_0 A))) (and (not (tptp.v1_xboole_0 _let_1)) (tptp.v2_waybel_0 _let_1 A) (tptp.v13_waybel_0 _let_1 A) (tptp.v1_waybel23 _let_1 A))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k1_waybel_3 A B))) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.l1_orders_2 A) (tptp.m1_subset_1 B (tptp.u1_struct_0 A))) (and (tptp.v1_waybel_0 _let_1 A) (tptp.v12_waybel_0 _let_1 A) (tptp.v2_waybel23 _let_1 A))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k2_waybel_3 A B))) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.l1_orders_2 A) (tptp.m1_subset_1 B (tptp.u1_struct_0 A))) (and (tptp.v1_waybel_0 _let_1 A) (tptp.v13_waybel_0 _let_1 A) (tptp.v2_waybel23 _let_1 A))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k1_waybel_3 A B))) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 A) (tptp.m1_subset_1 B (tptp.u1_struct_0 A))) (and (tptp.v2_waybel_0 _let_1 A) (tptp.v12_waybel_0 _let_1 A) (tptp.v1_waybel23 _let_1 A))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (tptp.v6_waybel23 B A) (not (tptp.v1_xboole_0 B))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (tptp.v7_waybel23 B A) (not (tptp.v1_xboole_0 B))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (exists ((B $$unsorted)) (and (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (not (tptp.v1_xboole_0 B)) (tptp.v6_waybel23 B A))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (exists ((B $$unsorted)) (and (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (not (tptp.v1_xboole_0 B)) (tptp.v7_waybel23 B A))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v3_waybel_3 A) (tptp.l1_orders_2 A)) (exists ((B $$unsorted)) (and (tptp.m1_waybel23 B A) (not (tptp.v1_xboole_0 B)) (tptp.v6_waybel23 B A))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v3_waybel_3 A) (tptp.l1_orders_2 A)) (exists ((B $$unsorted)) (and (tptp.m1_waybel23 B A) (not (tptp.v1_xboole_0 B)) (tptp.v7_waybel23 B A))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k5_yellow_0 A B))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_orders_2 A) (tptp.v1_yellow_0 A) (tptp.l1_orders_2 A) (tptp.v6_waybel23 B A) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v1_orders_2 _let_1) (tptp.v4_orders_2 _let_1) (tptp.v1_yellow_0 _let_1) (tptp.v4_yellow_0 _let_1 A))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v3_waybel_3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_waybel23 B A) (and (tptp.v1_waybel_0 B A) (tptp.v2_waybel23 B A)))))) (exists ((A $$unsorted)) (and (tptp.l1_orders_2 A) (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_lattice3 A) (tptp.v1_yellow_0 A) (tptp.v2_yellow_0 A) (tptp.v3_yellow_0 A) (tptp.v24_waybel_0 A) (tptp.v25_waybel_0 A) (tptp.v2_waybel_3 A) (tptp.v3_waybel_3 A) (not (tptp.v3_realset2 A)))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v1_yellow_0 A) (tptp.v3_waybel_3 A) (not (tptp.v3_realset2 A)) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_waybel23 B A) (and (not (tptp.v1_xboole_0 B)) (tptp.v1_waybel_0 B A) (tptp.v2_waybel23 B A)))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k5_yellow_0 A B))) (=> (and (tptp.v2_orders_2 A) (tptp.l1_orders_2 A) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (and (tptp.v1_orders_2 _let_1) (tptp.v2_orders_2 _let_1) (tptp.v4_yellow_0 _let_1 A))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k5_yellow_0 A B))) (=> (and (tptp.v3_orders_2 A) (tptp.l1_orders_2 A) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (and (tptp.v1_orders_2 _let_1) (tptp.v3_orders_2 _let_1) (tptp.v4_yellow_0 _let_1 A))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k5_yellow_0 A B))) (=> (and (tptp.v4_orders_2 A) (tptp.l1_orders_2 A) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (and (tptp.v1_orders_2 _let_1) (tptp.v4_orders_2 _let_1) (tptp.v4_yellow_0 _let_1 A))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k2_yellow_1 (tptp.k8_waybel_0 B)))) (let ((_let_2 (tptp.k3_waybel23 A B))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v24_waybel_0 A) (tptp.l1_orders_2 A) (not (tptp.v3_struct_0 B)) (tptp.v4_yellow_0 B A) (tptp.m1_yellow_0 B A)) (and (tptp.v1_relat_1 _let_2) (tptp.v1_funct_1 _let_2) (tptp.v1_funct_2 _let_2 (tptp.u1_struct_0 _let_1) (tptp.u1_struct_0 A)) (tptp.v5_orders_3 _let_2 _let_1 A)))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k2_yellow_1 (tptp.k8_waybel_0 A)))) (let ((_let_2 (tptp.k2_yellow_1 (tptp.k8_waybel_0 B)))) (let ((_let_3 (tptp.k4_waybel23 A B))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.l1_orders_2 A) (not (tptp.v3_struct_0 B)) (tptp.v4_yellow_0 B A) (tptp.m1_yellow_0 B A)) (and (tptp.v1_relat_1 _let_3) (tptp.v1_funct_1 _let_3) (tptp.v1_funct_2 _let_3 (tptp.u1_struct_0 _let_2) (tptp.u1_struct_0 _let_1)) (tptp.v5_orders_3 _let_3 _let_2 _let_1))))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k2_yellow_1 (tptp.k8_waybel_0 (tptp.k5_yellow_0 A B))))) (let ((_let_2 (tptp.k5_waybel23 A B))) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v1_yellow_0 A) (tptp.v3_waybel_3 A) (tptp.l1_orders_2 A) (tptp.v6_waybel23 B A) (tptp.m1_waybel23 B A)) (and (tptp.v1_relat_1 _let_2) (tptp.v1_funct_1 _let_2) (tptp.v1_funct_2 _let_2 (tptp.u1_struct_0 A) (tptp.u1_struct_0 _let_1)) (tptp.v5_orders_3 _let_2 A _let_1)))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k5_yellow_0 A B))) (let ((_let_2 (tptp.k2_yellow_1 (tptp.k8_waybel_0 _let_1)))) (let ((_let_3 (tptp.k3_waybel23 A _let_1))) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v1_yellow_0 A) (tptp.v3_waybel_3 A) (tptp.l1_orders_2 A) (tptp.v6_waybel23 B A) (tptp.m1_waybel23 B A)) (and (tptp.v1_relat_1 _let_3) (tptp.v1_funct_1 _let_3) (tptp.v1_funct_2 _let_3 (tptp.u1_struct_0 _let_2) (tptp.u1_struct_0 A)) (tptp.v5_orders_3 _let_3 _let_2 A) (tptp.v17_waybel_0 _let_3 _let_2 A) (tptp.v18_waybel_0 _let_3 _let_2 A) (tptp.v19_waybel_0 _let_3 _let_2 A) (tptp.v20_waybel_0 _let_3 _let_2 A) (tptp.v21_waybel_0 _let_3 _let_2 A) (tptp.v22_waybel_0 _let_3 _let_2 A))))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k2_yellow_1 (tptp.k8_waybel_0 (tptp.k5_yellow_0 A B))))) (let ((_let_2 (tptp.k5_waybel23 A B))) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v1_yellow_0 A) (tptp.v3_waybel_3 A) (tptp.l1_orders_2 A) (tptp.v6_waybel23 B A) (tptp.m1_waybel23 B A)) (and (tptp.v1_relat_1 _let_2) (tptp.v1_funct_1 _let_2) (tptp.v1_funct_2 _let_2 (tptp.u1_struct_0 A) (tptp.u1_struct_0 _let_1)) (tptp.v5_orders_3 _let_2 A _let_1) (tptp.v18_waybel_0 _let_2 A _let_1) (tptp.v20_waybel_0 _let_2 A _let_1) (tptp.v22_waybel_0 _let_2 A _let_1)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (= (tptp.k2_waybel_8 A B) (tptp.k3_xboole_0 (tptp.k1_waybel_3 A B) (tptp.u1_struct_0 (tptp.k1_waybel_8 A)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (tptp.r1_tarski B C) (tptp.r1_tarski (tptp.k12_waybel_0 A B) (tptp.k12_waybel_0 A C))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v4_yellow_0 B A) (tptp.v8_yellow_0 B A) (tptp.m1_yellow_0 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B))) (=> (= C D) (tptp.r1_tarski (tptp.k12_waybel_0 A C) (tptp.k12_waybel_0 B D))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v3_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v4_yellow_0 B A) (tptp.v8_yellow_0 B A) (tptp.m1_yellow_0 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B))) (=> (= C D) (= (tptp.k12_waybel_0 A C) (tptp.k12_waybel_0 B D))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v3_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v4_yellow_0 B A) (tptp.v6_yellow_0 B A) (tptp.m1_yellow_0 B A)) (=> (tptp.r2_hidden (tptp.k3_yellow_0 A) (tptp.u1_struct_0 B)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B))) (=> (= C D) (tptp.r1_tarski (tptp.k12_waybel_0 B D) (tptp.k12_waybel_0 A C)))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v1_yellow_0 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k2_yellow_1 (tptp.k8_waybel_0 A)))) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 _let_1))) (= (tptp.k1_yellow_0 _let_1 B) (tptp.k4_waybel_0 A (tptp.k12_waybel_0 A (tptp.k1_waybel23 A B))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k4_waybel_0 A B))) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (tptp.k4_waybel_0 A _let_1) _let_1)))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k5_waybel_0 A B))) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (tptp.k5_waybel_0 A _let_1) _let_1)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k6_waybel_0 A B))) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (= (tptp.k4_waybel_0 A _let_1) _let_1)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k7_waybel_0 A B))) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (= (tptp.k5_waybel_0 A _let_1) _let_1)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.m1_yellow_0 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B))) (=> (= C D) (tptp.r1_tarski (tptp.k4_waybel_0 B D) (tptp.k4_waybel_0 A C))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.m1_yellow_0 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B))) (=> (= C D) (tptp.r1_tarski (tptp.k5_waybel_0 B D) (tptp.k5_waybel_0 A C))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.m1_yellow_0 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 B)) (=> (= C D) (tptp.r1_tarski (tptp.k6_waybel_0 B D) (tptp.k6_waybel_0 A C))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.m1_yellow_0 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 B)) (=> (= C D) (tptp.r1_tarski (tptp.k7_waybel_0 B D) (tptp.k7_waybel_0 A C))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (tptp.v1_waybel23 B A) (tptp.v5_yellow_0 (tptp.k5_yellow_0 A B) A)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (tptp.v2_waybel23 B A) (tptp.v6_yellow_0 (tptp.k5_yellow_0 A B) A)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (tptp.v3_waybel23 B A) (tptp.v7_yellow_0 (tptp.k5_yellow_0 A B) A)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (tptp.v4_waybel23 B A) (tptp.v8_yellow_0 (tptp.k5_yellow_0 A B) A)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (tptp.v1_waybel23 B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k2_struct_0 A C D))) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (=> (and (tptp.r2_hidden C B) (tptp.r2_hidden D B) (tptp.r2_yellow_0 A _let_1)) (tptp.r2_hidden (tptp.k2_yellow_0 A _let_1) B)))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (tptp.v2_waybel23 B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k2_struct_0 A C D))) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (=> (and (tptp.r2_hidden C B) (tptp.r2_hidden D B) (tptp.r1_yellow_0 A _let_1)) (tptp.r2_hidden (tptp.k1_yellow_0 A _let_1) B)))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v4_orders_2 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (tptp.v1_waybel23 B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (=> (and (tptp.r2_hidden C B) (tptp.r2_hidden D B)) (tptp.r2_hidden (tptp.k2_yellow_0 A (tptp.k2_struct_0 A C D)) B))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (tptp.v2_waybel23 B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (=> (and (tptp.r2_hidden C B) (tptp.r2_hidden D B)) (tptp.r2_hidden (tptp.k1_yellow_0 A (tptp.k2_struct_0 A C D)) B))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (tptp.v3_waybel23 B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 B)) (=> (tptp.r2_yellow_0 A C) (tptp.r2_hidden (tptp.k2_yellow_0 A C) B))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (tptp.v4_waybel23 B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 B)) (=> (tptp.r1_yellow_0 A C) (tptp.r2_hidden (tptp.k1_yellow_0 A C) B))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.v3_waybel23 B A) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k5_yellow_0 A B))) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 B)) (=> (tptp.r2_yellow_0 A C) (and (tptp.r2_yellow_0 _let_1 C) (= (tptp.k2_yellow_0 _let_1 C) (tptp.k2_yellow_0 A C))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.v4_waybel23 B A) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k5_yellow_0 A B))) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 B)) (=> (tptp.r1_yellow_0 A C) (and (tptp.r1_yellow_0 _let_1 C) (= (tptp.k1_yellow_0 _let_1 C) (tptp.k1_yellow_0 A C))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.v1_waybel23 B A) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (forall ((C $$unsorted)) (=> (tptp.m1_struct_0 C A B) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k2_struct_0 A C D))) (let ((_let_2 (tptp.k5_yellow_0 A B))) (=> (tptp.m1_struct_0 D A B) (=> (tptp.r2_yellow_0 A _let_1) (and (tptp.r2_yellow_0 _let_2 _let_1) (= (tptp.k2_yellow_0 _let_2 _let_1) (tptp.k2_yellow_0 A _let_1)))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.v2_waybel23 B A) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (forall ((C $$unsorted)) (=> (tptp.m1_struct_0 C A B) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k2_struct_0 A C D))) (let ((_let_2 (tptp.k5_yellow_0 A B))) (=> (tptp.m1_struct_0 D A B) (=> (tptp.r1_yellow_0 A _let_1) (and (tptp.r1_yellow_0 _let_2 _let_1) (= (tptp.k1_yellow_0 _let_2 _let_1) (tptp.k1_yellow_0 A _let_1)))))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.v1_waybel23 B A) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (tptp.v2_lattice3 (tptp.k5_yellow_0 A B)))))) (forall ((A $$unsorted)) (=> (and (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.v2_waybel23 B A) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (tptp.v1_lattice3 (tptp.k5_yellow_0 A B)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v3_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.v3_waybel23 B A) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 B)) (= (tptp.k2_yellow_0 (tptp.k5_yellow_0 A B) C) (tptp.k2_yellow_0 A C)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v3_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.v4_waybel23 B A) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 B)) (= (tptp.k1_yellow_0 (tptp.k5_yellow_0 A B) C) (tptp.k1_yellow_0 A C)))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_waybel23 B A) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (tptp.v2_waybel_0 B A))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (tptp.v2_waybel23 B A) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (tptp.v1_waybel_0 B A))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))))) (let ((_let_2 (tptp.v13_waybel_0 B A))) (let ((_let_3 (not (tptp.v1_xboole_0 B)))) (=> (and _let_3 _let_2 _let_1) (= (and _let_3 (tptp.v2_waybel_0 B A) _let_2 _let_1) (tptp.v1_waybel23 B A))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))))) (let ((_let_2 (tptp.v12_waybel_0 B A))) (let ((_let_3 (not (tptp.v1_xboole_0 B)))) (=> (and _let_3 _let_2 _let_1) (= (and _let_3 (tptp.v1_waybel_0 B A) _let_2 _let_1) (tptp.v2_waybel23 B A))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (tptp.v2_waybel23 B A) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (tptp.v2_waybel23 C A) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 _let_1))) (tptp.v2_waybel23 (tptp.k5_subset_1 _let_1 B C) A)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_waybel23 B A) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_waybel23 C A) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 _let_1))) (tptp.v1_waybel23 (tptp.k5_subset_1 _let_1 B C) A)))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (tptp.v2_waybel23 (tptp.k6_waybel_0 A B) A))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (tptp.v1_waybel23 (tptp.k6_waybel_0 A B) A))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (tptp.v2_waybel23 (tptp.k7_waybel_0 A B) A))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (tptp.v1_waybel23 (tptp.k7_waybel_0 A B) A))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (tptp.v2_waybel23 (tptp.k1_waybel_3 A B) A))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (tptp.v1_waybel23 (tptp.k1_waybel_3 A B) A))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (tptp.v2_waybel23 (tptp.k2_waybel_3 A B) A))))) (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (= (tptp.v5_waybel23 A) (tptp.r1_tarski (tptp.k2_waybel23 A) tptp.k5_ordinal2)))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v3_waybel_3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (tptp.m1_waybel23 B A) (and (tptp.v2_waybel23 B A) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 C _let_1) (= C (tptp.k1_yellow_0 A (tptp.k5_subset_1 _let_1 (tptp.k1_waybel_3 A C) B)))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (tptp.v6_waybel23 B A) (tptp.r2_hidden (tptp.k3_yellow_0 A) B)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (tptp.v7_waybel23 B A) (tptp.r2_hidden (tptp.k4_yellow_0 A) B)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_orders_2 A) (tptp.v1_yellow_0 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (tptp.v6_waybel23 B A) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (tptp.v1_yellow_0 (tptp.k5_yellow_0 A B)))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 (tptp.k1_waybel_8 A)))) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.l1_orders_2 A)) (and (tptp.v2_waybel23 _let_1 A) (tptp.m1_subset_1 _let_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 (tptp.k1_waybel_8 A)))) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v1_yellow_0 A) (tptp.v2_waybel_8 A) (tptp.l1_orders_2 A)) (and (tptp.v6_waybel23 _let_1 A) (tptp.m1_waybel23 _let_1 A))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v1_yellow_0 A) (tptp.v3_waybel_3 A) (tptp.l1_orders_2 A)) (=> (tptp.m1_waybel23 (tptp.u1_struct_0 (tptp.k1_waybel_8 A)) A) (tptp.v2_waybel_8 A)))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v1_yellow_0 A) (tptp.v3_waybel_3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (tptp.v2_waybel23 B A) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (= (tptp.m1_waybel23 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)) (not (and (not (tptp.r3_orders_2 A D C)) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.u1_struct_0 A)) (not (and (tptp.r2_hidden E B) (not (tptp.r3_orders_2 A E C)) (tptp.r1_waybel_3 A E D)))))))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v1_yellow_0 A) (tptp.v3_waybel_3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (tptp.v2_waybel23 B A) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (=> (tptp.r2_hidden (tptp.k3_yellow_0 A) B) (= (tptp.m1_waybel23 B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (not (and (tptp.r1_waybel_3 A C D) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.u1_struct_0 A)) (not (and (tptp.r2_hidden E B) (tptp.r3_orders_2 A C E) (tptp.r1_waybel_3 A E D))))))))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v1_yellow_0 A) (tptp.v3_waybel_3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (tptp.v2_waybel23 B A) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (=> (tptp.r2_hidden (tptp.k3_yellow_0 A) B) (= (tptp.m1_waybel23 B A) (and (tptp.r1_tarski (tptp.u1_struct_0 (tptp.k1_waybel_8 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)) (not (and (not (tptp.r3_orders_2 A D C)) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.u1_struct_0 A)) (not (and (tptp.r2_hidden E B) (not (tptp.r3_orders_2 A E C)) (tptp.r3_orders_2 A E D)))))))))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v1_yellow_0 A) (tptp.v3_waybel_3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (tptp.v2_waybel23 B A) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (=> (tptp.r2_hidden (tptp.k3_yellow_0 A) B) (= (tptp.m1_waybel23 B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (not (and (not (tptp.r3_orders_2 A D C)) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.u1_struct_0 A)) (not (and (tptp.r2_hidden E B) (not (tptp.r3_orders_2 A E C)) (tptp.r3_orders_2 A E D))))))))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v1_yellow_0 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v4_yellow_0 B A) (tptp.m1_yellow_0 B A)) (=> (and (tptp.r2_hidden (tptp.k3_yellow_0 A) _let_1) (tptp.v2_waybel23 _let_1 A) (tptp.m1_subset_1 _let_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.k3_xboole_0 (tptp.k1_waybel_3 A C) _let_1))) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (and (not (tptp.v1_xboole_0 _let_2)) (tptp.v1_waybel_0 _let_2 B) (tptp.v12_waybel_0 _let_2 B) (tptp.m1_subset_1 _let_2 (tptp.k1_zfmisc_1 _let_1))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v4_yellow_0 B A) (tptp.m1_yellow_0 B A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.u1_struct_0 (tptp.k2_yellow_1 (tptp.k8_waybel_0 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)) (= (= C (tptp.k3_waybel23 A B)) (forall ((D $$unsorted)) (=> (and (not (tptp.v1_xboole_0 D)) (tptp.v1_waybel_0 D B) (tptp.v12_waybel_0 D B) (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B)))) (= (tptp.k1_funct_1 C D) (tptp.k1_yellow_0 A D))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v4_yellow_0 B A) (tptp.m1_yellow_0 B A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 (tptp.k2_yellow_1 (tptp.k8_waybel_0 A))))) (let ((_let_2 (tptp.u1_struct_0 (tptp.k2_yellow_1 (tptp.k8_waybel_0 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)) (= (= C (tptp.k4_waybel23 A B)) (forall ((D $$unsorted)) (=> (and (not (tptp.v1_xboole_0 D)) (tptp.v1_waybel_0 D B) (tptp.v12_waybel_0 D B) (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B)))) (exists ((E $$unsorted)) (and (tptp.m1_subset_1 E (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= D E) (= (tptp.k1_funct_1 C D) (tptp.k4_waybel_0 A E))))))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v1_yellow_0 A) (tptp.v3_waybel_3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (tptp.v6_waybel23 B A) (tptp.m1_waybel23 B A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 (tptp.k2_yellow_1 (tptp.k8_waybel_0 (tptp.k5_yellow_0 A B)))))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.m2_relset_1 C _let_2 _let_1)) (= (= C (tptp.k5_waybel23 A B)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 D _let_1) (= (tptp.k1_waybel_0 A (tptp.k2_yellow_1 (tptp.k8_waybel_0 (tptp.k5_yellow_0 A B))) C D) (tptp.k5_subset_1 _let_1 (tptp.k1_waybel_3 A D) B)))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k3_waybel23 A B))) (let ((_let_2 (tptp.k8_waybel_0 B))) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v4_yellow_0 B A) (tptp.m1_yellow_0 B A)) (and (= (tptp.k1_relat_1 _let_1) _let_2) (tptp.m1_subset_1 (tptp.k8_yellow_2 (tptp.u1_struct_0 (tptp.k2_yellow_1 _let_2)) A _let_1) (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v4_yellow_0 B A) (tptp.m1_yellow_0 B A)) (forall ((C $$unsorted)) (= (tptp.r2_hidden C (tptp.k1_relat_1 (tptp.k3_waybel23 A B))) (and (not (tptp.v1_xboole_0 C)) (tptp.v1_waybel_0 C B) (tptp.v12_waybel_0 C B) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k8_waybel_0 A))) (let ((_let_2 (tptp.k4_waybel23 A B))) (let ((_let_3 (tptp.k8_waybel_0 B))) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v4_yellow_0 B A) (tptp.m1_yellow_0 B A)) (and (= (tptp.k1_relat_1 _let_2) _let_3) (tptp.m1_subset_1 (tptp.k8_yellow_2 (tptp.u1_struct_0 (tptp.k2_yellow_1 _let_3)) (tptp.k2_yellow_1 _let_1) _let_2) (tptp.k1_zfmisc_1 _let_1)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v4_yellow_0 B A) (tptp.m1_yellow_0 B A)) (forall ((C $$unsorted)) (= (tptp.r2_hidden C (tptp.k1_relat_1 (tptp.k4_waybel23 A B))) (and (not (tptp.v1_xboole_0 C)) (tptp.v1_waybel_0 C B) (tptp.v12_waybel_0 C B) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v4_yellow_0 B A) (tptp.m1_yellow_0 B A)) (forall ((C $$unsorted)) (=> (tptp.r2_hidden C (tptp.k8_yellow_2 (tptp.u1_struct_0 (tptp.k2_yellow_1 (tptp.k8_waybel_0 B))) (tptp.k2_yellow_1 (tptp.k8_waybel_0 A)) (tptp.k4_waybel23 A B))) (and (not (tptp.v1_xboole_0 C)) (tptp.v1_waybel_0 C A) (tptp.v12_waybel_0 C A) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v1_yellow_0 A) (tptp.v3_waybel_3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k8_waybel_0 (tptp.k5_yellow_0 A B)))) (let ((_let_2 (tptp.k5_waybel23 A B))) (let ((_let_3 (tptp.u1_struct_0 A))) (=> (and (tptp.v6_waybel23 B A) (tptp.m1_waybel23 B A)) (and (= (tptp.k1_relat_1 _let_2) _let_3) (tptp.m1_subset_1 (tptp.k8_yellow_2 _let_3 (tptp.k2_yellow_1 _let_1) _let_2) (tptp.k1_zfmisc_1 _let_1)))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v1_yellow_0 A) (tptp.v3_waybel_3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (tptp.v6_waybel23 B A) (tptp.m1_waybel23 B A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k5_yellow_0 A B))) (=> (tptp.r2_hidden C (tptp.k8_yellow_2 (tptp.u1_struct_0 A) (tptp.k2_yellow_1 (tptp.k8_waybel_0 _let_1)) (tptp.k5_waybel23 A B))) (and (not (tptp.v1_xboole_0 C)) (tptp.v1_waybel_0 C _let_1) (tptp.v12_waybel_0 C _let_1) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 _let_1))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v24_waybel_0 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v4_yellow_0 B A) (tptp.m1_yellow_0 B A)) (tptp.v5_orders_3 (tptp.k3_waybel23 A B) (tptp.k2_yellow_1 (tptp.k8_waybel_0 B)) A))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v4_yellow_0 B A) (tptp.m1_yellow_0 B A)) (tptp.v5_orders_3 (tptp.k4_waybel23 A B) (tptp.k2_yellow_1 (tptp.k8_waybel_0 B)) (tptp.k2_yellow_1 (tptp.k8_waybel_0 A))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v1_yellow_0 A) (tptp.v3_waybel_3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (tptp.v6_waybel23 B A) (tptp.m1_waybel23 B A)) (tptp.v5_orders_3 (tptp.k5_waybel23 A B) A (tptp.k2_yellow_1 (tptp.k8_waybel_0 (tptp.k5_yellow_0 A B)))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v1_yellow_0 A) (tptp.v3_waybel_3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k5_yellow_0 A B))) (=> (and (tptp.v6_waybel23 B A) (tptp.m1_waybel23 B A)) (tptp.v18_waybel_0 (tptp.k4_waybel23 A _let_1) (tptp.k2_yellow_1 (tptp.k8_waybel_0 _let_1)) (tptp.k2_yellow_1 (tptp.k8_waybel_0 A)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v24_waybel_0 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v4_yellow_0 B A) (tptp.m1_yellow_0 B A)) (= (tptp.k3_waybel23 A B) (tptp.k7_funct_2 (tptp.u1_struct_0 (tptp.k2_yellow_1 (tptp.k8_waybel_0 B))) (tptp.u1_struct_0 (tptp.k2_yellow_1 (tptp.k8_waybel_0 A))) (tptp.u1_struct_0 A) (tptp.k4_waybel23 A B) (tptp.k3_yellow_2 A))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v1_yellow_0 A) (tptp.v3_waybel_3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k5_yellow_0 A B))) (let ((_let_2 (tptp.k2_yellow_1 (tptp.k8_waybel_0 _let_1)))) (=> (and (tptp.v6_waybel23 B A) (tptp.m1_waybel23 B A)) (tptp.v3_waybel_1 (tptp.k1_waybel_1 _let_2 A (tptp.k3_waybel23 A _let_1) (tptp.k5_waybel23 A B)) _let_2 A))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v1_yellow_0 A) (tptp.v3_waybel_3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k5_yellow_0 A B))) (let ((_let_2 (tptp.k2_yellow_1 (tptp.k8_waybel_0 _let_1)))) (=> (and (tptp.v6_waybel23 B A) (tptp.m1_waybel23 B A)) (and (tptp.v4_waybel_1 (tptp.k3_waybel23 A _let_1) _let_2 A) (tptp.v5_waybel_1 (tptp.k5_waybel23 A B) _let_2 A)))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v1_yellow_0 A) (tptp.v3_waybel_3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k5_yellow_0 A B))) (=> (and (tptp.v6_waybel23 B A) (tptp.m1_waybel23 B A)) (= (tptp.k8_yellow_2 (tptp.u1_struct_0 (tptp.k2_yellow_1 (tptp.k8_waybel_0 _let_1))) A (tptp.k3_waybel23 A _let_1)) (tptp.u1_struct_0 A))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v1_yellow_0 A) (tptp.v3_waybel_3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k5_yellow_0 A B))) (let ((_let_2 (tptp.k2_yellow_1 (tptp.k8_waybel_0 _let_1)))) (let ((_let_3 (tptp.k3_waybel23 A _let_1))) (=> (and (tptp.v6_waybel23 B A) (tptp.m1_waybel23 B A)) (and (tptp.v17_waybel_0 _let_3 _let_2 A) (tptp.v18_waybel_0 _let_3 _let_2 A))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v1_yellow_0 A) (tptp.v3_waybel_3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (tptp.v6_waybel23 B A) (tptp.m1_waybel23 B A)) (tptp.v18_waybel_0 (tptp.k5_waybel23 A B) A (tptp.k2_yellow_1 (tptp.k8_waybel_0 (tptp.k5_yellow_0 A B)))))))) true (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v1_yellow_0 A) (tptp.v3_waybel_3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k5_yellow_0 A B))) (=> (and (tptp.v6_waybel23 B A) (tptp.m1_waybel23 B A)) (tptp.r5_waybel_1 (tptp.k1_waybel_8 (tptp.k2_yellow_1 (tptp.k8_waybel_0 _let_1))) _let_1)))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v1_yellow_0 A) (tptp.v3_waybel_3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (tptp.v6_waybel23 B A) (tptp.m1_waybel23 B A)) (=> (forall ((C $$unsorted)) (=> (and (tptp.v6_waybel23 C A) (tptp.m1_waybel23 C A)) (tptp.r1_tarski B C))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 (tptp.k2_yellow_1 (tptp.k8_waybel_0 (tptp.k5_yellow_0 A B))))) (= C (tptp.k5_subset_1 (tptp.u1_struct_0 A) (tptp.k1_waybel_3 A (tptp.k1_yellow_0 A C)) B))))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 (tptp.k1_waybel_8 A)))) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v1_yellow_0 A) (tptp.v3_waybel_3 A) (tptp.l1_orders_2 A)) (= (tptp.v2_waybel_8 A) (and (tptp.v6_waybel23 _let_1 A) (tptp.m1_waybel23 _let_1 A) (forall ((B $$unsorted)) (=> (and (tptp.v6_waybel23 B A) (tptp.m1_waybel23 B A)) (tptp.r1_tarski (tptp.u1_struct_0 (tptp.k1_waybel_8 A)) B)))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v1_yellow_0 A) (tptp.v3_waybel_3 A) (tptp.l1_orders_2 A)) (= (tptp.v2_waybel_8 A) (exists ((B $$unsorted)) (and (tptp.v6_waybel23 B A) (tptp.m1_waybel23 B A) (forall ((C $$unsorted)) (=> (and (tptp.v6_waybel23 C A) (tptp.m1_waybel23 C A)) (tptp.r1_tarski B C)))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v3_waybel_3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_waybel23 B A) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v3_waybel_3 A) (tptp.l1_orders_2 A)) (exists ((B $$unsorted)) (tptp.m1_waybel23 B A)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.l1_orders_2 A) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 (tptp.k2_yellow_1 (tptp.k8_waybel_0 A)))))) (tptp.m1_subset_1 (tptp.k1_waybel23 A B) (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.l1_orders_2 A) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 (tptp.k2_yellow_1 (tptp.k8_waybel_0 A)))))) (= (tptp.k1_waybel23 A B) (tptp.k3_tarski B)))) (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (tptp.v1_card_1 (tptp.k2_waybel23 A)))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.u1_struct_0 (tptp.k2_yellow_1 (tptp.k8_waybel_0 B))))) (let ((_let_3 (tptp.k3_waybel23 A B))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.l1_orders_2 A) (not (tptp.v3_struct_0 B)) (tptp.v4_yellow_0 B A) (tptp.m1_yellow_0 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)) (let ((_let_1 (tptp.u1_struct_0 (tptp.k2_yellow_1 (tptp.k8_waybel_0 A))))) (let ((_let_2 (tptp.u1_struct_0 (tptp.k2_yellow_1 (tptp.k8_waybel_0 B))))) (let ((_let_3 (tptp.k4_waybel23 A B))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.l1_orders_2 A) (not (tptp.v3_struct_0 B)) (tptp.v4_yellow_0 B A) (tptp.m1_yellow_0 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)) (let ((_let_1 (tptp.u1_struct_0 (tptp.k2_yellow_1 (tptp.k8_waybel_0 (tptp.k5_yellow_0 A B)))))) (let ((_let_2 (tptp.u1_struct_0 A))) (let ((_let_3 (tptp.k5_waybel23 A B))) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v1_yellow_0 A) (tptp.v3_waybel_3 A) (tptp.l1_orders_2 A) (tptp.v6_waybel23 B A) (tptp.m1_waybel23 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 $$unsorted)) (=> (tptp.l1_pre_topc A) (= (tptp.k2_waybel23 A) (tptp.k1_setfam_1 (tptp.a_1_0_waybel23 A))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v1_yellow_0 A) (tptp.v3_waybel_3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (tptp.v6_waybel23 B A) (tptp.m1_waybel23 B A)) (= (tptp.u1_struct_0 (tptp.k1_waybel_8 (tptp.k2_yellow_1 (tptp.k8_waybel_0 (tptp.k5_yellow_0 A B))))) (tptp.a_2_0_waybel23 A B)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.l1_pre_topc B) (= (tptp.r2_hidden A (tptp.a_1_0_waybel23 B)) (exists ((C $$unsorted)) (and (tptp.m1_cantor_1 C B) (= A (tptp.k1_card_1 C))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.v1_lattice3 B) (tptp.v1_yellow_0 B) (tptp.v3_waybel_3 B) (tptp.l1_orders_2 B) (tptp.v6_waybel23 C B) (tptp.m1_waybel23 C B)) (= (tptp.r2_hidden A (tptp.a_2_0_waybel23 B C)) (exists ((D $$unsorted)) (let ((_let_1 (tptp.k5_yellow_0 B C))) (and (tptp.m1_subset_1 D (tptp.u1_struct_0 _let_1)) (= A (tptp.k6_waybel_0 _let_1 D)))))))) (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))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B tptp.k5_numbers _let_1) (tptp.m2_relset_1 B tptp.k5_numbers _let_1)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.k5_relat_1 C B))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C tptp.k5_numbers tptp.k1_numbers) (tptp.v1_seqm_3 C) (tptp.v7_seqm_3 C) (tptp.m2_relset_1 C tptp.k5_numbers tptp.k1_numbers)) (and (tptp.v1_funct_1 _let_2) (tptp.v1_funct_2 _let_2 tptp.k5_numbers _let_1) (tptp.m2_relset_1 _let_2 tptp.k5_numbers _let_1))))))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.m2_relset_1 A tptp.k5_numbers tptp.k1_numbers))) (let ((_let_2 (tptp.v1_funct_2 A tptp.k5_numbers tptp.k1_numbers))) (let ((_let_3 (tptp.v1_funct_1 A))) (=> (and _let_3 _let_2 _let_1) (=> (= A (tptp.k6_relat_1 tptp.k5_numbers)) (and _let_3 _let_2 (tptp.v1_seqm_3 A) (tptp.v7_seqm_3 A) _let_1))))))) (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))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B tptp.k5_numbers _let_1) (tptp.m2_relset_1 B tptp.k5_numbers _let_1)) (tptp.m1_bhsp_3 B A B)))))) (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))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B tptp.k5_numbers _let_1) (tptp.m2_relset_1 B tptp.k5_numbers _let_1)) (forall ((C $$unsorted)) (=> (tptp.m1_bhsp_3 C A B) (tptp.r1_tarski (tptp.k1_frechet A C) (tptp.k1_frechet A B))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_struct_0 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B tptp.k5_numbers _let_1) (tptp.m2_relset_1 B tptp.k5_numbers _let_1)) (forall ((C $$unsorted)) (=> (tptp.m1_bhsp_3 C A B) (forall ((D $$unsorted)) (=> (tptp.m1_bhsp_3 D A C) (tptp.m1_bhsp_3 D A B)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_struct_0 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B tptp.k5_numbers _let_1) (tptp.m2_relset_1 B tptp.k5_numbers _let_1)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (not (and (forall ((D $$unsorted)) (=> (tptp.m1_bhsp_3 D A B) (not (tptp.r1_tarski (tptp.k1_frechet A D) C)))) (forall ((D $$unsorted)) (=> (tptp.m2_subset_1 D tptp.k1_numbers tptp.k5_numbers) (exists ((E $$unsorted)) (and (tptp.m2_subset_1 E tptp.k1_numbers tptp.k5_numbers) (tptp.r1_xreal_0 D E) (tptp.r2_hidden (tptp.k2_normsp_1 A B E) C)))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_struct_0 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B tptp.k5_numbers _let_1) (tptp.m2_relset_1 B tptp.k5_numbers _let_1)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 _let_1)) (not (and (tptp.r1_tarski (tptp.k1_frechet A B) (tptp.k4_subset_1 _let_1 C D)) (forall ((E $$unsorted)) (let ((_let_1 (tptp.k1_frechet A E))) (=> (tptp.m1_bhsp_3 E A B) (and (not (tptp.r1_tarski _let_1 C)) (not (tptp.r1_tarski _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)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B tptp.k5_numbers _let_1) (tptp.m2_relset_1 B tptp.k5_numbers _let_1)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k2_frechet A B))) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (=> (and (tptp.r2_hidden C _let_1) (tptp.r2_hidden D _let_1)) (= C D)))))))))) (tptp.v1_urysohn1 A)))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (=> (tptp.v3_compts_1 A) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B tptp.k5_numbers _let_1) (tptp.m2_relset_1 B tptp.k5_numbers _let_1)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k2_frechet A B))) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (=> (and (tptp.r2_hidden C _let_1) (tptp.r2_hidden D _let_1)) (= C D))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (=> (tptp.v1_frechet A) (= (tptp.v3_compts_1 A) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B tptp.k5_numbers _let_1) (tptp.m2_relset_1 B tptp.k5_numbers _let_1)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k2_frechet A B))) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (=> (and (tptp.r2_hidden C _let_1) (tptp.r2_hidden D _let_1)) (= C D)))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B tptp.k5_numbers _let_1) (tptp.m2_relset_1 B tptp.k5_numbers _let_1)) (=> (not (tptp.v2_frechet B A)) (= (tptp.k2_frechet A B) 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)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (tptp.v4_pre_topc B A) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C tptp.k5_numbers _let_1) (tptp.m2_relset_1 C tptp.k5_numbers _let_1)) (=> (tptp.r1_tarski (tptp.k1_frechet A C) B) (tptp.r1_tarski (tptp.k2_frechet A C) B)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B tptp.k5_numbers _let_1) (tptp.m2_relset_1 B tptp.k5_numbers _let_1)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (not (and (not (tptp.r1_frechet A B C)) (forall ((D $$unsorted)) (=> (tptp.m1_bhsp_3 D A B) (exists ((E $$unsorted)) (and (tptp.m1_bhsp_3 E A D) (tptp.r1_frechet A E 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 $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.m2_relset_1 C _let_2 _let_1)) (=> (tptp.v5_pre_topc C A B) (forall ((D $$unsorted)) (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)) (forall ((E $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (=> (and (tptp.v1_funct_1 E) (tptp.v1_funct_2 E tptp.k5_numbers _let_1) (tptp.m2_relset_1 E tptp.k5_numbers _let_1)) (=> (= E (tptp.k7_funct_2 tptp.k5_numbers (tptp.u1_struct_0 A) _let_1 D C)) (tptp.r1_tarski (tptp.k4_pre_topc A B C (tptp.k2_frechet A D)) (tptp.k2_frechet B E)))))))))))))))))) (forall ((A $$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)) (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.v4_frechet A) (= (tptp.v5_pre_topc C A B) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D tptp.k5_numbers _let_1) (tptp.m2_relset_1 D tptp.k5_numbers _let_1)) (forall ((E $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (=> (and (tptp.v1_funct_1 E) (tptp.v1_funct_2 E tptp.k5_numbers _let_1) (tptp.m2_relset_1 E tptp.k5_numbers _let_1)) (=> (= E (tptp.k7_funct_2 tptp.k5_numbers (tptp.u1_struct_0 A) _let_1 D C)) (tptp.r1_tarski (tptp.k4_pre_topc A B C (tptp.k2_frechet A D)) (tptp.k2_frechet B E))))))))))))))))))) true (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (= C (tptp.k3_frechet2 A B)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (= (tptp.r2_hidden D C) (exists ((E $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (and (tptp.v1_funct_1 E) (tptp.v1_funct_2 E tptp.k5_numbers _let_1) (tptp.m2_relset_1 E tptp.k5_numbers _let_1) (tptp.r1_tarski (tptp.k1_frechet A E) B) (tptp.r2_hidden D (tptp.k2_frechet A E))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 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))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C tptp.k5_numbers _let_1) (tptp.m2_relset_1 C tptp.k5_numbers _let_1)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (=> (and (tptp.r1_tarski (tptp.k1_frechet A C) B) (tptp.r2_hidden D (tptp.k2_frechet A C))) (tptp.r2_hidden D (tptp.k6_pre_topc A B)))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (tptp.r1_tarski (tptp.k3_frechet2 A B) (tptp.k6_pre_topc A B)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B tptp.k5_numbers _let_1) (tptp.m2_relset_1 B tptp.k5_numbers _let_1)) (forall ((C $$unsorted)) (=> (tptp.m1_bhsp_3 C A B) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (=> (tptp.r1_frechet A B D) (tptp.r1_frechet A C D))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B tptp.k5_numbers _let_1) (tptp.m2_relset_1 B tptp.k5_numbers _let_1)) (forall ((C $$unsorted)) (=> (tptp.m1_bhsp_3 C A B) (tptp.r1_tarski (tptp.k2_frechet A B) (tptp.k2_frechet A C))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_pre_topc A)) (= (tptp.k3_frechet2 A (tptp.k1_pre_topc A)) tptp.k1_xboole_0))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (tptp.r1_tarski B (tptp.k3_frechet2 A B)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 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.k4_subset_1 _let_1 (tptp.k3_frechet2 A B) (tptp.k3_frechet2 A C)) (tptp.k3_frechet2 A (tptp.k4_subset_1 _let_1 B C)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_pre_topc A)) (= (tptp.v3_frechet A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (tptp.k6_pre_topc A B) (tptp.k3_frechet2 A B))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (=> (tptp.v3_frechet A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k3_frechet2 A B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 _let_2)) (and (= (tptp.k3_frechet2 A (tptp.k1_pre_topc A)) tptp.k1_xboole_0) (tptp.r1_tarski B _let_1) (= (tptp.k3_frechet2 A (tptp.k4_subset_1 _let_2 B C)) (tptp.k4_subset_1 _let_2 _let_1 (tptp.k3_frechet2 A C))) (= (tptp.k3_frechet2 A _let_1) _let_1))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (=> (and (tptp.v4_frechet A) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k3_frechet2 A B))) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (tptp.k3_frechet2 A _let_1) _let_1))))) (tptp.v3_frechet A)))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (=> (tptp.v4_frechet A) (= (tptp.v3_frechet 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.k3_frechet2 A B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 _let_2)) (and (= (tptp.k3_frechet2 A (tptp.k1_pre_topc A)) tptp.k1_xboole_0) (tptp.r1_tarski B _let_1) (= (tptp.k3_frechet2 A (tptp.k4_subset_1 _let_2 B C)) (tptp.k4_subset_1 _let_2 _let_1 (tptp.k3_frechet2 A C))) (= (tptp.k3_frechet2 A _let_1) _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 A))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B tptp.k5_numbers _let_1) (tptp.m2_relset_1 B tptp.k5_numbers _let_1)) (=> (exists ((C $$unsorted)) (and (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (tptp.k2_frechet A B) (tptp.k1_struct_0 A C)))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (= C (tptp.k4_frechet2 A B)) (tptp.r1_frechet A B C)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (=> (tptp.v3_compts_1 A) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B tptp.k5_numbers _let_1) (tptp.m2_relset_1 B tptp.k5_numbers _let_1)) (not (and (tptp.v2_frechet B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (not (= (tptp.k2_frechet A B) (tptp.k1_struct_0 A C))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (=> (tptp.v3_compts_1 A) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B tptp.k5_numbers _let_1) (tptp.m2_relset_1 B tptp.k5_numbers _let_1)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (tptp.r1_frechet A B C) (and (tptp.v2_frechet B A) (= C (tptp.k4_frechet2 A B)))))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_metric_1 A) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 (tptp.k5_pcomps_1 A)))) (let ((_let_2 (tptp.v1_funct_1 B))) (let ((_let_3 (tptp.u1_struct_0 A))) (=> (and _let_2 (tptp.v1_funct_2 B tptp.k5_numbers _let_3) (tptp.m2_relset_1 B tptp.k5_numbers _let_3)) (and _let_2 (tptp.v1_funct_2 B tptp.k5_numbers _let_1) (tptp.m2_relset_1 B tptp.k5_numbers _let_1))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_metric_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.v1_funct_1 B))) (let ((_let_3 (tptp.u1_struct_0 (tptp.k5_pcomps_1 A)))) (=> (and _let_2 (tptp.v1_funct_2 B tptp.k5_numbers _let_3) (tptp.m2_relset_1 B tptp.k5_numbers _let_3)) (and _let_2 (tptp.v1_funct_2 B tptp.k5_numbers _let_1) (tptp.m2_relset_1 B tptp.k5_numbers _let_1))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v6_metric_1 A) (tptp.v7_metric_1 A) (tptp.v8_metric_1 A) (tptp.v9_metric_1 A) (tptp.l1_metric_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B tptp.k5_numbers _let_1) (tptp.m2_relset_1 B tptp.k5_numbers _let_1)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 (tptp.k5_pcomps_1 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)) (forall ((E $$unsorted)) (let ((_let_1 (tptp.k5_pcomps_1 A))) (=> (tptp.m1_subset_1 E (tptp.u1_struct_0 _let_1)) (=> (and (= B D) (= C E)) (= (tptp.r1_metric_6 A B C) (tptp.r1_frechet _let_1 D E)))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v6_metric_1 A) (tptp.v7_metric_1 A) (tptp.v8_metric_1 A) (tptp.v9_metric_1 A) (tptp.l1_metric_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B tptp.k5_numbers _let_1) (tptp.m2_relset_1 B tptp.k5_numbers _let_1)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k5_pcomps_1 A))) (let ((_let_2 (tptp.u1_struct_0 _let_1))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C tptp.k5_numbers _let_2) (tptp.m2_relset_1 C tptp.k5_numbers _let_2)) (=> (= B C) (= (tptp.v2_tbsp_1 B A) (tptp.v2_frechet C _let_1)))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v6_metric_1 A) (tptp.v7_metric_1 A) (tptp.v8_metric_1 A) (tptp.v9_metric_1 A) (tptp.l1_metric_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B tptp.k5_numbers _let_1) (tptp.m2_relset_1 B tptp.k5_numbers _let_1)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k5_pcomps_1 A))) (let ((_let_2 (tptp.u1_struct_0 _let_1))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C tptp.k5_numbers _let_2) (tptp.m2_relset_1 C tptp.k5_numbers _let_2)) (=> (and (= B C) (tptp.v2_tbsp_1 B A)) (= (tptp.k1_tbsp_1 A B) (tptp.k4_frechet2 _let_1 C)))))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B tptp.k5_numbers _let_1) (tptp.m2_relset_1 B tptp.k5_numbers _let_1)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (tptp.r1_frechet2 A B C) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((E $$unsorted)) (=> (tptp.m2_subset_1 E tptp.k1_numbers tptp.k5_numbers) (not (and (tptp.v3_pre_topc D A) (tptp.r2_hidden C D) (forall ((F $$unsorted)) (=> (tptp.m2_subset_1 F tptp.k1_numbers tptp.k5_numbers) (not (and (tptp.r1_xreal_0 E F) (tptp.r2_hidden (tptp.k8_funct_2 tptp.k5_numbers (tptp.u1_struct_0 A) B F) D))))))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B tptp.k5_numbers _let_1) (tptp.m2_relset_1 B tptp.k5_numbers _let_1)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (=> (exists ((D $$unsorted)) (and (tptp.m1_bhsp_3 D A B) (tptp.r1_frechet A D C))) (tptp.r1_frechet2 A B C))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B tptp.k5_numbers _let_1) (tptp.m2_relset_1 B tptp.k5_numbers _let_1)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (=> (tptp.r1_frechet A B C) (tptp.r1_frechet2 A B C))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B tptp.k5_numbers _let_1) (tptp.m2_relset_1 B tptp.k5_numbers _let_1)) (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 $$unsorted)) (=> (tptp.m2_subset_1 E tptp.k1_numbers tptp.k5_numbers) (and (= (tptp.k2_normsp_1 A B E) D) (tptp.r1_frechet A B C)))) (tptp.r2_hidden C (tptp.k6_pre_topc A (tptp.k1_struct_0 A D))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B tptp.k5_numbers _let_1) (tptp.m2_relset_1 B tptp.k5_numbers _let_1)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C tptp.k5_numbers _let_1) (tptp.m2_relset_1 C tptp.k5_numbers _let_1)) (not (and (tptp.r1_tarski (tptp.k1_frechet A C) (tptp.k1_frechet A B)) (tptp.v2_funct_1 C) (forall ((D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D tptp.k5_numbers tptp.k5_numbers) (tptp.v3_funct_2 D tptp.k5_numbers tptp.k5_numbers) (tptp.m2_relset_1 D tptp.k5_numbers tptp.k5_numbers)) (not (tptp.m1_bhsp_3 (tptp.k1_frechet2 A D C) A B)))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B tptp.k5_numbers _let_1) (tptp.m2_relset_1 B tptp.k5_numbers _let_1)) (forall ((C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C tptp.k5_numbers tptp.k5_numbers) (tptp.v3_funct_2 C tptp.k5_numbers tptp.k5_numbers) (tptp.m2_relset_1 C tptp.k5_numbers tptp.k5_numbers)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (=> (tptp.r1_frechet A B D) (tptp.r1_frechet A (tptp.k1_frechet2 A C B) D))))))))))) (forall ((A $$unsorted)) (=> (tptp.m2_subset_1 A tptp.k1_numbers tptp.k5_numbers) (exists ((B $$unsorted)) (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B tptp.k5_numbers tptp.k1_numbers) (tptp.v1_seqm_3 B) (tptp.v7_seqm_3 B) (tptp.m2_relset_1 B tptp.k5_numbers tptp.k1_numbers) (forall ((C $$unsorted)) (=> (tptp.m2_subset_1 C tptp.k1_numbers tptp.k5_numbers) (= (tptp.k2_seqm_3 B C) (tptp.k1_nat_1 C 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))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B tptp.k5_numbers _let_1) (tptp.m2_relset_1 B tptp.k5_numbers _let_1)) (forall ((C $$unsorted)) (=> (tptp.m2_subset_1 C tptp.k1_numbers tptp.k5_numbers) (exists ((D $$unsorted)) (and (tptp.m1_bhsp_3 D A B) (forall ((E $$unsorted)) (=> (tptp.m2_subset_1 E tptp.k1_numbers tptp.k5_numbers) (= (tptp.k2_normsp_1 A D E) (tptp.k2_normsp_1 A B (tptp.k1_nat_1 E C)))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B tptp.k5_numbers _let_1) (tptp.m2_relset_1 B tptp.k5_numbers _let_1)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_bhsp_3 D A B) (=> (tptp.r1_frechet2 A B C) (or (forall ((E $$unsorted)) (=> (tptp.m2_subset_1 E tptp.k1_numbers tptp.k5_numbers) (not (forall ((F $$unsorted)) (=> (tptp.m2_subset_1 F tptp.k1_numbers tptp.k5_numbers) (= (tptp.k2_normsp_1 A D F) (tptp.k2_normsp_1 A B (tptp.k1_nat_1 F E)))))))) (tptp.r1_frechet2 A D C)))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B tptp.k5_numbers _let_1) (tptp.m2_relset_1 B tptp.k5_numbers _let_1)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (=> (tptp.r1_frechet2 A B C) (tptp.r2_hidden C (tptp.k6_pre_topc A (tptp.k1_frechet A B))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_pre_topc A)) (=> (tptp.v3_frechet A) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B tptp.k5_numbers _let_1) (tptp.m2_relset_1 B tptp.k5_numbers _let_1)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (not (and (tptp.r1_frechet2 A B C) (forall ((D $$unsorted)) (=> (tptp.m1_bhsp_3 D A B) (not (tptp.r1_frechet A D C)))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (=> (tptp.v1_frechet A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (exists ((C $$unsorted)) (and (tptp.m1_yellow_8 C A B) (exists ((D $$unsorted)) (and (tptp.v1_relat_1 D) (tptp.v1_funct_1 D) (= (tptp.k1_relat_1 D) tptp.k5_numbers) (= (tptp.k2_relat_1 D) C) (forall ((E $$unsorted)) (=> (tptp.m2_subset_1 E tptp.k1_numbers tptp.k5_numbers) (forall ((F $$unsorted)) (=> (tptp.m2_subset_1 F tptp.k1_numbers tptp.k5_numbers) (=> (tptp.r1_xreal_0 E F) (tptp.r1_tarski (tptp.k1_funct_1 D F) (tptp.k1_funct_1 D E)))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (= (tptp.v1_urysohn1 A) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k1_struct_0 A B))) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (= (tptp.k6_pre_topc A _let_1) _let_1))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (=> (tptp.v3_compts_1 A) (tptp.v1_urysohn1 A)))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (not (and (not (tptp.v1_urysohn1 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 $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D tptp.k5_numbers _let_1) (tptp.m2_relset_1 D tptp.k5_numbers _let_1)) (not (and (= D (tptp.k3_finsop_1 _let_1 tptp.k5_numbers B)) (not (= B C)) (tptp.r1_frechet A D C)))))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (not (and (not (tptp.v1_finset_1 (tptp.k1_relat_1 A))) (tptp.v2_funct_1 A) (tptp.v1_finset_1 (tptp.k2_relat_1 A)))))) (=> (forall ((A $$unsorted)) (=> (tptp.m2_subset_1 A tptp.k1_numbers tptp.k5_numbers) (exists ((B $$unsorted)) (and (tptp.m2_subset_1 B tptp.k1_numbers tptp.k5_numbers) (exists ((C $$unsorted)) (and (tptp.m1_subset_1 C (tptp.u1_struct_0 tptp.f1_s1_frechet2)) (tptp.r1_xreal_0 A B) (= C (tptp.k2_normsp_1 tptp.f1_s1_frechet2 tptp.f2_s1_frechet2 B)) (tptp.p1_s1_frechet2 C))))))) (exists ((A $$unsorted)) (and (tptp.m1_bhsp_3 A tptp.f1_s1_frechet2 tptp.f2_s1_frechet2) (forall ((B $$unsorted)) (=> (tptp.m2_subset_1 B tptp.k1_numbers tptp.k5_numbers) (tptp.p1_s1_frechet2 (tptp.k2_normsp_1 tptp.f1_s1_frechet2 A B))))))) (=> (forall ((A $$unsorted)) (=> (tptp.m2_subset_1 A tptp.k1_numbers tptp.k5_numbers) (exists ((B $$unsorted)) (and (tptp.m2_subset_1 B tptp.k1_numbers tptp.k5_numbers) (exists ((C $$unsorted)) (and (tptp.m1_subset_1 C (tptp.u1_struct_0 tptp.f1_s2_frechet2)) (tptp.r1_xreal_0 A B) (= C (tptp.k2_normsp_1 tptp.f1_s2_frechet2 tptp.f2_s2_frechet2 B)) (tptp.p1_s2_frechet2 C))))))) (exists ((A $$unsorted)) (and (tptp.m1_bhsp_3 A tptp.f1_s2_frechet2 tptp.f2_s2_frechet2) (forall ((B $$unsorted)) (=> (tptp.m2_subset_1 B tptp.k1_numbers tptp.k5_numbers) (tptp.p1_s2_frechet2 (tptp.k2_normsp_1 tptp.f1_s2_frechet2 A B))))))) (=> (exists ((A $$unsorted)) (and (tptp.m2_subset_1 A tptp.k1_numbers tptp.k5_numbers) (forall ((B $$unsorted)) (=> (tptp.m2_subset_1 B tptp.k1_numbers tptp.k5_numbers) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 tptp.f1_s3_frechet2)) (=> (and (tptp.r1_xreal_0 A B) (= C (tptp.k2_normsp_1 tptp.f1_s3_frechet2 tptp.f2_s3_frechet2 B))) (tptp.p1_s3_frechet2 C)))))))) (exists ((A $$unsorted)) (and (tptp.m2_subset_1 A tptp.k1_numbers tptp.k5_numbers) (forall ((B $$unsorted)) (=> (tptp.m2_subset_1 B tptp.k1_numbers tptp.k5_numbers) (=> (tptp.r1_xreal_0 A B) (tptp.p1_s3_frechet2 (tptp.k2_normsp_1 tptp.f1_s3_frechet2 (tptp.k1_frechet2 tptp.f1_s3_frechet2 tptp.f3_s3_frechet2 tptp.f2_s3_frechet2) B)))))))) (=> (exists ((A $$unsorted)) (and (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.m1_subset_1 C (tptp.u1_struct_0 tptp.f1_s4_frechet2)) (=> (and (tptp.r1_xreal_0 A B) (= C (tptp.k2_normsp_1 tptp.f1_s4_frechet2 tptp.f2_s4_frechet2 B))) (tptp.p1_s4_frechet2 C)))))))) (exists ((A $$unsorted)) (and (tptp.m2_subset_1 A tptp.k1_numbers tptp.k5_numbers) (forall ((B $$unsorted)) (=> (tptp.m2_subset_1 B tptp.k1_numbers tptp.k5_numbers) (=> (tptp.r1_xreal_0 A B) (tptp.p1_s4_frechet2 (tptp.k2_normsp_1 tptp.f1_s4_frechet2 (tptp.k1_frechet2 tptp.f1_s4_frechet2 tptp.f3_s4_frechet2 tptp.f2_s4_frechet2) B)))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.k1_frechet2 A B C))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_struct_0 A) (tptp.v1_funct_1 B) (tptp.v1_funct_2 B tptp.k5_numbers tptp.k5_numbers) (tptp.m1_relset_1 B tptp.k5_numbers tptp.k5_numbers) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C tptp.k5_numbers _let_1) (tptp.m1_relset_1 C tptp.k5_numbers _let_1)) (and (tptp.v1_funct_1 _let_2) (tptp.v1_funct_2 _let_2 tptp.k5_numbers _let_1) (tptp.m2_relset_1 _let_2 tptp.k5_numbers _let_1)))))) (forall ((A $$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.v1_funct_1 B) (tptp.v1_funct_2 B tptp.k5_numbers tptp.k5_numbers) (tptp.m1_relset_1 B tptp.k5_numbers tptp.k5_numbers) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C tptp.k5_numbers _let_1) (tptp.m1_relset_1 C tptp.k5_numbers _let_1)) (= (tptp.k1_frechet2 A B C) (tptp.k5_relat_1 B C))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_struct_0 A) (tptp.v1_funct_1 B) (tptp.v1_funct_2 B tptp.k5_numbers tptp.k1_numbers) (tptp.v1_seqm_3 B) (tptp.v7_seqm_3 B) (tptp.m1_relset_1 B tptp.k5_numbers tptp.k1_numbers) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C tptp.k5_numbers _let_1) (tptp.m1_relset_1 C tptp.k5_numbers _let_1)) (tptp.m1_bhsp_3 (tptp.k2_frechet2 A B C) A C)))) (forall ((A $$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.v1_funct_1 B) (tptp.v1_funct_2 B tptp.k5_numbers tptp.k1_numbers) (tptp.v1_seqm_3 B) (tptp.v7_seqm_3 B) (tptp.m1_relset_1 B tptp.k5_numbers tptp.k1_numbers) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C tptp.k5_numbers _let_1) (tptp.m1_relset_1 C tptp.k5_numbers _let_1)) (= (tptp.k2_frechet2 A B C) (tptp.k5_relat_1 B C))))) (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.l1_pre_topc A) (tptp.m1_subset_1 B _let_1)) (tptp.m1_subset_1 (tptp.k3_frechet2 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.v2_pre_topc A) (tptp.l1_pre_topc A) (tptp.v1_funct_1 B) (tptp.v1_funct_2 B tptp.k5_numbers _let_1) (tptp.m1_relset_1 B tptp.k5_numbers _let_1)) (tptp.m1_subset_1 (tptp.k4_frechet2 A B) _let_1)))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B tptp.k5_numbers _let_1) (tptp.m2_relset_1 B tptp.k5_numbers _let_1)) (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 A))) (=> (and (= D (tptp.a_2_0_frechet2 A C)) (tptp.r1_tarski (tptp.k1_frechet A B) D)) (tptp.r1_frechet A B C))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (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.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)) (not (and (= C (tptp.a_2_0_frechet2 A B)) (tptp.r1_xboole_0 (tptp.k1_frechet A D) C) (tptp.r1_frechet A D B) (forall ((E $$unsorted)) (=> (tptp.m1_bhsp_3 E A D) (not (tptp.v2_funct_1 E))))))))))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.l1_pre_topc B) (tptp.m1_subset_1 C (tptp.u1_struct_0 B))) (= (tptp.r2_hidden A (tptp.a_2_0_frechet2 B C)) (exists ((D $$unsorted)) (and (tptp.m1_subset_1 D (tptp.u1_struct_0 B)) (= A D) (tptp.r2_hidden C (tptp.k6_pre_topc B (tptp.k1_struct_0 B D)))))))) (exists ((A $$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.v13_lattices A) (tptp.v14_lattices A) (tptp.v15_lattices A) (tptp.v6_group_1 A))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.v10_lattices A))) (let ((_let_2 (not (tptp.v3_struct_0 A)))) (=> (tptp.l3_lattices A) (=> (and _let_2 _let_1 (tptp.v6_group_1 A)) (and _let_2 (tptp.v4_lattices A) (tptp.v5_lattices A) (tptp.v6_lattices A) (tptp.v7_lattices A) (tptp.v8_lattices A) (tptp.v9_lattices A) _let_1 (tptp.v13_lattices A) (tptp.v14_lattices A) (tptp.v15_lattices A) (tptp.v4_lattice3 A))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k3_lattice3 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v6_group_1 A) (tptp.l3_lattices A)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v1_orders_2 _let_1) (tptp.v2_orders_2 _let_1) (tptp.v3_orders_2 _let_1) (tptp.v4_orders_2 _let_1) (tptp.v1_yellow_0 _let_1) (tptp.v2_yellow_0 _let_1) (tptp.v3_yellow_0 _let_1) (tptp.v24_waybel_0 _let_1) (tptp.v25_waybel_0 _let_1) (tptp.v1_lattice3 _let_1) (tptp.v2_lattice3 _let_1) (tptp.v3_lattice3 _let_1) (tptp.v1_wellfnd1 _let_1))))) (exists ((A $$unsorted)) (and (tptp.l3_lattices A) (not (tptp.v3_struct_0 A)) (tptp.v4_lattices A) (tptp.v5_lattices A) (tptp.v6_lattices A) (tptp.v7_lattices A) (tptp.v8_lattices A) (tptp.v9_lattices A) (tptp.v10_lattices A) (tptp.v13_lattices A) (tptp.v14_lattices A) (tptp.v15_lattices A) (tptp.v4_lattice3 A) (tptp.v1_lattice6 A))) (exists ((A $$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.v13_lattices A) (tptp.v14_lattices A) (tptp.v15_lattices A) (tptp.v4_lattice3 A) (tptp.v2_lattice6 A))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.v10_lattices A))) (let ((_let_2 (not (tptp.v3_struct_0 A)))) (=> (tptp.l3_lattices A) (=> (and _let_2 _let_1 (tptp.v6_group_1 A)) (and _let_2 (tptp.v4_lattices A) (tptp.v5_lattices A) (tptp.v6_lattices A) (tptp.v7_lattices A) (tptp.v8_lattices A) (tptp.v9_lattices A) _let_1 (tptp.v1_lattice6 A))))))) (forall ((A $$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.v6_group_1 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.v2_lattice6 A))))))) (exists ((A $$unsorted)) (and (tptp.l3_lattices A) (not (tptp.v3_struct_0 A)) (tptp.v3_lattices A) (tptp.v4_lattices A) (tptp.v5_lattices A) (tptp.v6_lattices A) (tptp.v7_lattices A) (tptp.v8_lattices A) (tptp.v9_lattices A) (tptp.v10_lattices A) (tptp.v3_realset2 A))) (exists ((A $$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.v13_lattices A) (tptp.v14_lattices A) (tptp.v15_lattices A) (tptp.v4_lattice3 A) (tptp.v7_lattice6 A))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v4_lattice3 A) (tptp.v2_lattice6 A) (tptp.l3_lattices A)) (tptp.v9_lattice6 (tptp.k5_lattice6 A) A))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v4_lattice3 A) (tptp.v1_lattice6 A) (tptp.l3_lattices A)) (tptp.v8_lattice6 (tptp.k6_lattice6 A) A))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (= (tptp.v1_lattice6 A) (tptp.v1_wellfnd1 (tptp.k3_lattice3 A))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (= (tptp.v2_lattice6 A) (tptp.v1_wellfnd1 (tptp.k7_lattice3 (tptp.k3_lattice3 A)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (= (tptp.v1_lattice6 A) (tptp.v2_lattice6 (tptp.k1_lattice2 A))))) (forall ((A $$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.r1_lattice6 A B C) (and (not (= B C)) (tptp.r3_lattices A C B) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (not (and (tptp.r3_lattices A C D) (tptp.r3_lattices A D B) (not (= D B)) (not (= D C)))))))))))))) (forall ((A $$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 $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (=> (not (= C D)) (and (=> (and (tptp.r1_lattice6 A C B) (tptp.r1_lattice6 A D B)) (= B (tptp.k4_lattices A D C))) (=> (and (tptp.r1_lattice6 A B C) (tptp.r1_lattice6 A B D)) (= B (tptp.k3_lattices A D C))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v1_lattice6 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 (tptp.r3_lattices A B C) (not (= B C)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (not (and (tptp.r3_lattices A D C) (tptp.r1_lattice6 A D B))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v2_lattice6 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 (tptp.r3_lattices A C B) (not (= B C)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (not (and (tptp.r3_lattices A C D) (tptp.r1_lattice6 A B D))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v14_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (not (tptp.r1_lattice6 A B (tptp.k6_lattices A))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v14_lattices A) (tptp.v1_lattice6 A) (tptp.l3_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)) (not (tptp.r1_lattice6 A C 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)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (not (tptp.r1_lattice6 A (tptp.k5_lattices A) B)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v13_lattices A) (tptp.v2_lattice6 A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (= (= B (tptp.k5_lattices A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (not (tptp.r1_lattice6 A B C))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v4_lattice3 A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (= (tptp.v3_lattice6 B A) (not (= (tptp.k3_lattice6 A B) B))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v4_lattice3 A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (= (tptp.v4_lattice6 B A) (not (= (tptp.k4_lattice6 A B) B))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v4_lattice3 A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (and (tptp.r3_lattices A B (tptp.k3_lattice6 A B)) (tptp.r3_lattices A (tptp.k4_lattice6 A B) B)))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k6_lattices A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v4_lattice3 A) (tptp.l3_lattices A)) (and (= (tptp.k3_lattice6 A _let_1) _let_1) (tptp.v2_waybel_6 (tptp.k4_lattice3 A _let_1) (tptp.k3_lattice3 A)))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k5_lattices A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v4_lattice3 A) (tptp.l3_lattices A)) (and (= (tptp.k4_lattice6 A _let_1) _let_1) (tptp.v3_waybel_6 (tptp.k4_lattice3 A _let_1) (tptp.k3_lattice3 A)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v4_lattice3 A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (=> (tptp.v3_lattice6 B A) (and (tptp.r1_lattice6 A (tptp.k3_lattice6 A B) B) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (=> (tptp.r1_lattice6 A C B) (= C (tptp.k3_lattice6 A B))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v4_lattice3 A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (=> (tptp.v4_lattice6 B A) (and (tptp.r1_lattice6 A B (tptp.k4_lattice6 A B)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (=> (tptp.r1_lattice6 A B C) (= C (tptp.k4_lattice6 A B))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v4_lattice3 A) (tptp.v1_lattice6 A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (= (tptp.v3_lattice6 B A) (exists ((C $$unsorted)) (and (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (tptp.r1_lattice6 A C B) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (=> (tptp.r1_lattice6 A D B) (= D C))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v4_lattice3 A) (tptp.v2_lattice6 A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (= (tptp.v4_lattice6 B A) (exists ((C $$unsorted)) (and (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (tptp.r1_lattice6 A B C) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (=> (tptp.r1_lattice6 A B D) (= D C))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v4_lattice3 A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (=> (tptp.v3_lattice6 B A) (tptp.v2_waybel_6 (tptp.k4_lattice3 A B) (tptp.k3_lattice3 A))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v4_lattice3 A) (tptp.v1_lattice6 A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (=> (not (= B (tptp.k6_lattices A))) (= (tptp.v3_lattice6 B A) (tptp.v2_waybel_6 (tptp.k4_lattice3 A B) (tptp.k3_lattice3 A)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v4_lattice3 A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (=> (tptp.v4_lattice6 B A) (tptp.v3_waybel_6 (tptp.k4_lattice3 A B) (tptp.k3_lattice3 A))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v4_lattice3 A) (tptp.v2_lattice6 A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (=> (not (= B (tptp.k5_lattices A))) (= (tptp.v4_lattice6 B A) (tptp.v3_waybel_6 (tptp.k4_lattice3 A B) (tptp.k3_lattice3 A)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v6_group_1 A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.v4_lattice6 B A))) (let ((_let_2 (tptp.k3_lattice3 A))) (let ((_let_3 (tptp.k4_lattice3 A B))) (let ((_let_4 (tptp.v3_waybel_6 _let_3 _let_2))) (let ((_let_5 (tptp.v3_lattice6 B A))) (let ((_let_6 (tptp.v2_waybel_6 _let_3 _let_2))) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (not (and (not (= B (tptp.k5_lattices A))) (not (= B (tptp.k6_lattices A))) (not (and (=> _let_5 _let_6) (=> _let_6 _let_5) (=> _let_1 _let_4) (=> _let_4 _let_1))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (= (tptp.v5_lattice6 B A) (tptp.r1_lattice6 A B (tptp.k5_lattices A))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (= (tptp.v6_lattice6 B A) (tptp.r1_lattice6 A (tptp.k6_lattices A) B)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v4_lattice3 A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (=> (tptp.v5_lattice6 B A) (tptp.v4_lattice6 B A)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v4_lattice3 A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (=> (tptp.v6_lattice6 B A) (tptp.v3_lattice6 B A)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (= (tptp.v7_lattice6 A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (exists ((C $$unsorted)) (and (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (=> (tptp.r2_hidden D C) (tptp.v5_lattice6 D A)))) (= B (tptp.k15_lattice3 A C))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v4_lattice3 A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (tptp.v8_lattice6 B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (exists ((D $$unsorted)) (and (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 B)) (= C (tptp.k15_lattice3 A D))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v4_lattice3 A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (tptp.v9_lattice6 B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (exists ((D $$unsorted)) (and (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 B)) (= C (tptp.k16_lattice3 A D))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v4_lattice3 A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (tptp.v9_lattice6 B A) (tptp.v4_waybel_6 (tptp.k1_lattice6 A B) (tptp.k3_lattice3 A))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v4_lattice3 A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (tptp.v8_lattice6 B A) (tptp.r1_tarski (tptp.k6_lattice6 A) B)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v4_lattice3 A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (tptp.v9_lattice6 B A) (tptp.r1_tarski (tptp.k5_lattice6 A) B)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (tptp.m1_subset_1 (tptp.k1_lattice6 A B) (tptp.k1_zfmisc_1 (tptp.u1_struct_0 (tptp.k3_lattice3 A)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 (tptp.k3_lattice3 A))))) (tptp.m1_subset_1 (tptp.k2_lattice6 A B) (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v4_lattice3 A) (tptp.l3_lattices A) (tptp.m1_subset_1 B _let_1)) (tptp.m1_subset_1 (tptp.k3_lattice6 A B) _let_1)))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v4_lattice3 A) (tptp.l3_lattices A) (tptp.m1_subset_1 B _let_1)) (tptp.m1_subset_1 (tptp.k4_lattice6 A B) _let_1)))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v4_lattice3 A) (tptp.l3_lattices A)) (tptp.m1_subset_1 (tptp.k5_lattice6 A) (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v4_lattice3 A) (tptp.l3_lattices A)) (tptp.m1_subset_1 (tptp.k6_lattice6 A) (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (tptp.k1_lattice6 A B) (tptp.a_2_0_lattice6 A B)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 (tptp.k3_lattice3 A)))) (= (tptp.k2_lattice6 A B) (tptp.a_2_1_lattice6 A B)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v4_lattice3 A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (= (tptp.k3_lattice6 A B) (tptp.k16_lattice3 A (tptp.a_2_2_lattice6 A B))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v4_lattice3 A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (= (tptp.k4_lattice6 A B) (tptp.k15_lattice3 A (tptp.a_2_3_lattice6 A B))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v4_lattice3 A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (tptp.v8_lattice6 B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= C (tptp.k15_lattice3 A (tptp.a_3_0_lattice6 A B C)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v4_lattice3 A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (tptp.v9_lattice6 B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= C (tptp.k16_lattice3 A (tptp.a_3_1_lattice6 A B C)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v4_lattice3 A) (tptp.l3_lattices A)) (= (tptp.k5_lattice6 A) (tptp.a_1_0_lattice6 A)))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v4_lattice3 A) (tptp.l3_lattices A)) (= (tptp.k6_lattice6 A) (tptp.a_1_1_lattice6 A)))) (forall ((A $$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.k1_zfmisc_1 (tptp.u1_struct_0 B)))) (= (tptp.r2_hidden A (tptp.a_2_0_lattice6 B C)) (exists ((D $$unsorted)) (and (tptp.m1_subset_1 D (tptp.u1_struct_0 B)) (= A (tptp.k4_lattice3 B D)) (tptp.r2_hidden D C)))))) (forall ((A $$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.k1_zfmisc_1 (tptp.u1_struct_0 (tptp.k3_lattice3 B))))) (= (tptp.r2_hidden A (tptp.a_2_1_lattice6 B C)) (exists ((D $$unsorted)) (and (tptp.m1_subset_1 D (tptp.u1_struct_0 (tptp.k3_lattice3 B))) (= A (tptp.k5_lattice3 B D)) (tptp.r2_hidden D C)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v10_lattices B) (tptp.v4_lattice3 B) (tptp.l3_lattices B) (tptp.m1_subset_1 C (tptp.u1_struct_0 B))) (= (tptp.r2_hidden A (tptp.a_2_2_lattice6 B C)) (exists ((D $$unsorted)) (and (tptp.m1_subset_1 D (tptp.u1_struct_0 B)) (= A D) (tptp.r3_lattices B C D) (not (= D C))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v10_lattices B) (tptp.v4_lattice3 B) (tptp.l3_lattices B) (tptp.m1_subset_1 C (tptp.u1_struct_0 B))) (= (tptp.r2_hidden A (tptp.a_2_3_lattice6 B C)) (exists ((D $$unsorted)) (and (tptp.m1_subset_1 D (tptp.u1_struct_0 B)) (= A D) (tptp.r3_lattices B D C) (not (= D C))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v10_lattices B) (tptp.v4_lattice3 B) (tptp.l3_lattices B) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 _let_1)) (tptp.m1_subset_1 D _let_1)) (= (tptp.r2_hidden A (tptp.a_3_0_lattice6 B C D)) (exists ((E $$unsorted)) (and (tptp.m1_subset_1 E (tptp.u1_struct_0 B)) (= A E) (tptp.r2_hidden E C) (tptp.r3_lattices B E D))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v10_lattices B) (tptp.v4_lattice3 B) (tptp.l3_lattices B) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 _let_1)) (tptp.m1_subset_1 D _let_1)) (= (tptp.r2_hidden A (tptp.a_3_1_lattice6 B C D)) (exists ((E $$unsorted)) (and (tptp.m1_subset_1 E (tptp.u1_struct_0 B)) (= A E) (tptp.r2_hidden E C) (tptp.r3_lattices B D E))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v10_lattices B) (tptp.v4_lattice3 B) (tptp.l3_lattices B)) (= (tptp.r2_hidden A (tptp.a_1_0_lattice6 B)) (exists ((C $$unsorted)) (and (tptp.m1_subset_1 C (tptp.u1_struct_0 B)) (= A C) (tptp.v3_lattice6 C B)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v10_lattices B) (tptp.v4_lattice3 B) (tptp.l3_lattices B)) (= (tptp.r2_hidden A (tptp.a_1_1_lattice6 B)) (exists ((C $$unsorted)) (and (tptp.m1_subset_1 C (tptp.u1_struct_0 B)) (= A C) (tptp.v4_lattice6 C B)))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k11_conlat_1 A))) (=> (and (not (tptp.v3_conlat_1 A)) (tptp.l2_conlat_1 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) (tptp.v13_lattices _let_1) (tptp.v14_lattices _let_1) (tptp.v15_lattices _let_1) (tptp.v4_lattice3 _let_1))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k1_lattice2 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v4_lattice3 A) (tptp.l3_lattices A)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v3_lattices _let_1) (tptp.v4_lattices _let_1) (tptp.v5_lattices _let_1) (tptp.v6_lattices _let_1) (tptp.v7_lattices _let_1) (tptp.v8_lattices _let_1) (tptp.v9_lattices _let_1) (tptp.v10_lattices _let_1) (tptp.v4_lattice3 _let_1))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_conlat_1 A)) (tptp.l2_conlat_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v6_conlat_1 B A) (not (tptp.v7_conlat_1 B A)) (tptp.v9_conlat_1 B A) (tptp.l3_conlat_1 B A)) (= (tptp.k1_conlat_2 A B) B))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k11_conlat_1 A))) (=> (and (not (tptp.v3_conlat_1 A)) (tptp.l2_conlat_1 A)) (and (= (tptp.k5_lattices _let_1) (tptp.k6_conlat_1 A)) (= (tptp.k6_lattices _let_1) (tptp.k5_conlat_1 A)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_conlat_1 A)) (tptp.l2_conlat_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k11_conlat_1 A))) (let ((_let_2 (tptp.k15_lattice3 _let_1 B))) (let ((_let_3 (tptp.k16_lattice3 _let_1 B))) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 _let_1))) (and (not (tptp.v7_conlat_1 _let_3 A)) (tptp.v9_conlat_1 _let_3 A) (tptp.l3_conlat_1 _let_3 A) (not (tptp.v7_conlat_1 _let_2 A)) (tptp.v9_conlat_1 _let_2 A) (tptp.l3_conlat_1 _let_2 A))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_conlat_1 A)) (tptp.l2_conlat_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k11_conlat_1 A))) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 _let_1))) (= (tptp.k2_conlat_2 A B) (tptp.k16_lattice3 _let_1 B))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_conlat_1 A)) (tptp.l2_conlat_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k11_conlat_1 A))) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 _let_1))) (= (tptp.k3_conlat_2 A B) (tptp.k15_lattice3 _let_1 B))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k1_pre_topc (tptp.k11_conlat_1 A)))) (=> (and (not (tptp.v3_conlat_1 A)) (tptp.l2_conlat_1 A)) (and (= (tptp.k3_conlat_2 A _let_1) (tptp.k6_conlat_1 A)) (= (tptp.k2_conlat_2 A _let_1) (tptp.k5_conlat_1 A)))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k2_subset_1 (tptp.u1_struct_0 (tptp.k11_conlat_1 A))))) (=> (and (not (tptp.v3_conlat_1 A)) (tptp.l2_conlat_1 A)) (and (= (tptp.k3_conlat_2 A _let_1) (tptp.k5_conlat_1 A)) (= (tptp.k2_conlat_2 A _let_1) (tptp.k6_conlat_1 A)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_conlat_1 A)) (tptp.l2_conlat_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 (tptp.k11_conlat_1 A)))) (let ((_let_2 (tptp.u1_conlat_1 A))) (=> (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_conlat_2 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_conlat_1 A)) (exists ((D $$unsorted)) (and (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_conlat_1 A))) (exists ((E $$unsorted)) (let ((_let_1 (tptp.u1_conlat_1 A))) (let ((_let_2 (tptp.k1_zfmisc_1 (tptp.u2_conlat_1 A)))) (let ((_let_3 (tptp.k1_zfmisc_1 _let_1))) (let ((_let_4 (tptp.k8_funct_2 _let_3 _let_2 (tptp.k1_conlat_1 A) (tptp.k6_domain_1 _let_1 C)))) (and (tptp.m1_subset_1 E _let_2) (= (tptp.k8_funct_2 _let_1 (tptp.u1_struct_0 (tptp.k11_conlat_1 A)) B C) (tptp.g3_conlat_1 A D E)) (= D (tptp.k8_funct_2 _let_2 _let_3 (tptp.k2_conlat_1 A) _let_4)) (= E _let_4)))))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_conlat_1 A)) (tptp.l2_conlat_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 (tptp.k11_conlat_1 A)))) (let ((_let_2 (tptp.u2_conlat_1 A))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_2 _let_1) (tptp.m2_relset_1 B _let_2 _let_1)) (= (= B (tptp.k5_conlat_2 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u2_conlat_1 A)) (exists ((D $$unsorted)) (and (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_conlat_1 A))) (exists ((E $$unsorted)) (let ((_let_1 (tptp.u2_conlat_1 A))) (let ((_let_2 (tptp.k1_zfmisc_1 (tptp.u1_conlat_1 A)))) (let ((_let_3 (tptp.k1_zfmisc_1 _let_1))) (let ((_let_4 (tptp.k8_funct_2 _let_3 _let_2 (tptp.k2_conlat_1 A) (tptp.k6_domain_1 _let_1 C)))) (and (tptp.m1_subset_1 E _let_3) (= (tptp.k8_funct_2 _let_1 (tptp.u1_struct_0 (tptp.k11_conlat_1 A)) B C) (tptp.g3_conlat_1 A D E)) (= D _let_4) (= E (tptp.k8_funct_2 _let_2 _let_3 (tptp.k1_conlat_1 A) _let_4))))))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_conlat_1 A)) (tptp.l2_conlat_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_conlat_1 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 (tptp.k11_conlat_1 A)))) (let ((_let_2 (tptp.u2_conlat_1 A))) (let ((_let_3 (tptp.k8_funct_2 _let_2 _let_1 (tptp.k5_conlat_2 A) C))) (let ((_let_4 (tptp.k8_funct_2 (tptp.u1_conlat_1 A) _let_1 (tptp.k4_conlat_2 A) B))) (=> (tptp.m1_subset_1 C _let_2) (and (not (tptp.v7_conlat_1 _let_4 A)) (tptp.v9_conlat_1 _let_4 A) (tptp.l3_conlat_1 _let_4 A) (not (tptp.v7_conlat_1 _let_3 A)) (tptp.v9_conlat_1 _let_3 A) (tptp.l3_conlat_1 _let_3 A)))))))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k11_conlat_1 A))) (let ((_let_2 (tptp.u1_struct_0 _let_1))) (=> (and (not (tptp.v3_conlat_1 A)) (tptp.l2_conlat_1 A)) (and (tptp.v8_lattice6 (tptp.k5_relset_1 (tptp.u1_conlat_1 A) _let_2 (tptp.k4_conlat_2 A)) _let_1) (tptp.v9_lattice6 (tptp.k5_relset_1 (tptp.u2_conlat_1 A) _let_2 (tptp.k5_conlat_2 A)) _let_1)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_conlat_1 A)) (tptp.l2_conlat_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_conlat_1 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k11_conlat_1 A))) (let ((_let_2 (tptp.u1_struct_0 _let_1))) (let ((_let_3 (tptp.u2_conlat_1 A))) (=> (tptp.m1_subset_1 C _let_3) (= (tptp.r1_conlat_1 A B C) (tptp.r3_lattices _let_1 (tptp.k8_funct_2 (tptp.u1_conlat_1 A) _let_2 (tptp.k4_conlat_2 A) B) (tptp.k8_funct_2 _let_3 _let_2 (tptp.k5_conlat_2 A) C)))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v4_lattice3 A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_conlat_1 B)) (tptp.l2_conlat_1 B)) (= (tptp.r1_filter_1 (tptp.k11_conlat_1 B) A) (exists ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.u1_conlat_1 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) (exists ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.u2_conlat_1 B))) (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D _let_2 _let_1) (tptp.m2_relset_1 D _let_2 _let_1) (tptp.v8_lattice6 (tptp.k5_relset_1 (tptp.u1_conlat_1 B) _let_1 C) A) (tptp.v9_lattice6 (tptp.k5_relset_1 _let_2 _let_1 D) A) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.u1_conlat_1 B)) (forall ((F $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.u2_conlat_1 B))) (=> (tptp.m1_subset_1 F _let_2) (= (tptp.r1_conlat_1 B E F) (tptp.r3_lattices A (tptp.k8_funct_2 (tptp.u1_conlat_1 B) _let_1 C E) (tptp.k8_funct_2 _let_2 _let_1 D F)))))))))))))))))))))) (forall ((A $$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.k6_conlat_2 A) (tptp.g2_conlat_1 _let_1 _let_1 (tptp.k2_lattice3 A)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v4_lattice3 A) (tptp.l3_lattices A)) (tptp.r1_filter_1 (tptp.k11_conlat_1 (tptp.k6_conlat_2 A)) A))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (= (tptp.v4_lattice3 A) (exists ((B $$unsorted)) (and (not (tptp.v3_conlat_1 B)) (tptp.l2_conlat_1 B) (tptp.r1_filter_1 (tptp.k11_conlat_1 B) A)))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.u2_conlat_1 A))) (let ((_let_2 (tptp.u1_conlat_1 A))) (=> (and (not (tptp.v3_conlat_1 A)) (tptp.l2_conlat_1 A)) (= (tptp.k7_conlat_2 A) (tptp.g2_conlat_1 _let_1 _let_2 (tptp.k6_relset_1 _let_2 _let_1 (tptp.u3_conlat_1 A)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_conlat_1 A)) (tptp.v4_conlat_1 A) (tptp.l2_conlat_1 A)) (= (tptp.k7_conlat_2 (tptp.k7_conlat_2 A)) A))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_conlat_1 A)) (tptp.l2_conlat_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 (tptp.u1_conlat_1 A)))) (=> (tptp.m1_subset_1 B _let_1) (= (tptp.k8_funct_2 _let_1 (tptp.k1_zfmisc_1 (tptp.u2_conlat_1 A)) (tptp.k1_conlat_1 A) B) (tptp.k1_funct_1 (tptp.k2_conlat_1 (tptp.k7_conlat_2 A)) B))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_conlat_1 A)) (tptp.l2_conlat_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 (tptp.u2_conlat_1 A)))) (=> (tptp.m1_subset_1 B _let_1) (= (tptp.k8_funct_2 _let_1 (tptp.k1_zfmisc_1 (tptp.u1_conlat_1 A)) (tptp.k2_conlat_1 A) B) (tptp.k1_funct_1 (tptp.k1_conlat_1 (tptp.k7_conlat_2 A)) B))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_conlat_1 A)) (tptp.l2_conlat_1 A)) (forall ((B $$unsorted)) (=> (tptp.l3_conlat_1 B A) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k7_conlat_2 A))) (=> (and (tptp.v6_conlat_1 C _let_1) (tptp.l3_conlat_1 C _let_1)) (= (= C (tptp.k8_conlat_2 A B)) (and (= (tptp.u4_conlat_1 _let_1 C) (tptp.u5_conlat_1 A B)) (= (tptp.u5_conlat_1 _let_1 C) (tptp.u4_conlat_1 A B))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_conlat_1 A)) (tptp.v4_conlat_1 A) (tptp.l2_conlat_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v6_conlat_1 B A) (not (tptp.v7_conlat_1 B A)) (tptp.v9_conlat_1 B A) (tptp.l3_conlat_1 B A)) (= (tptp.k9_conlat_2 (tptp.k7_conlat_2 A) (tptp.k9_conlat_2 A B)) B))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_conlat_1 A)) (tptp.l2_conlat_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_lattice4 B (tptp.k1_lattice2 (tptp.k11_conlat_1 A)) (tptp.k11_conlat_1 (tptp.k7_conlat_2 A))) (= (= B (tptp.k10_conlat_2 A)) (forall ((C $$unsorted)) (=> (and (tptp.v6_conlat_1 C A) (not (tptp.v7_conlat_1 C A)) (tptp.v9_conlat_1 C A) (tptp.l3_conlat_1 C A)) (= (tptp.k1_funct_1 B C) (tptp.k9_conlat_2 A C))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_conlat_1 A)) (tptp.l2_conlat_1 A)) (tptp.v3_lattice4 (tptp.k10_conlat_2 A) (tptp.k1_lattice2 (tptp.k11_conlat_1 A)) (tptp.k11_conlat_1 (tptp.k7_conlat_2 A))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_conlat_1 A)) (tptp.l2_conlat_1 A)) (tptp.r1_filter_1 (tptp.k11_conlat_1 (tptp.k7_conlat_2 A)) (tptp.k1_lattice2 (tptp.k11_conlat_1 A))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_conlat_1 A)) (tptp.l2_conlat_1 A) (tptp.v6_conlat_1 B A) (not (tptp.v7_conlat_1 B A)) (tptp.v9_conlat_1 B A) (tptp.l3_conlat_1 B A)) (tptp.m1_subset_1 (tptp.k1_conlat_2 A B) (tptp.u1_struct_0 (tptp.k11_conlat_1 A))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k2_conlat_2 A B))) (=> (and (not (tptp.v3_conlat_1 A)) (tptp.l2_conlat_1 A) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 (tptp.k11_conlat_1 A))))) (and (not (tptp.v7_conlat_1 _let_1 A)) (tptp.v9_conlat_1 _let_1 A) (tptp.l3_conlat_1 _let_1 A))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k3_conlat_2 A B))) (=> (and (not (tptp.v3_conlat_1 A)) (tptp.l2_conlat_1 A) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 (tptp.k11_conlat_1 A))))) (and (not (tptp.v7_conlat_1 _let_1 A)) (tptp.v9_conlat_1 _let_1 A) (tptp.l3_conlat_1 _let_1 A))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 (tptp.k11_conlat_1 A)))) (let ((_let_2 (tptp.u1_conlat_1 A))) (let ((_let_3 (tptp.k4_conlat_2 A))) (=> (and (not (tptp.v3_conlat_1 A)) (tptp.l2_conlat_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 $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 (tptp.k11_conlat_1 A)))) (let ((_let_2 (tptp.u2_conlat_1 A))) (let ((_let_3 (tptp.k5_conlat_2 A))) (=> (and (not (tptp.v3_conlat_1 A)) (tptp.l2_conlat_1 A)) (and (tptp.v1_funct_1 _let_3) (tptp.v1_funct_2 _let_3 _let_2 _let_1) (tptp.m2_relset_1 _let_3 _let_2 _let_1))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k6_conlat_2 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (and (not (tptp.v3_conlat_1 _let_1)) (tptp.v4_conlat_1 _let_1) (tptp.l2_conlat_1 _let_1))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k7_conlat_2 A))) (=> (and (not (tptp.v3_conlat_1 A)) (tptp.l2_conlat_1 A)) (and (not (tptp.v3_conlat_1 _let_1)) (tptp.v4_conlat_1 _let_1) (tptp.l2_conlat_1 _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k7_conlat_2 A))) (let ((_let_2 (tptp.k8_conlat_2 A B))) (=> (and (not (tptp.v3_conlat_1 A)) (tptp.l2_conlat_1 A) (tptp.l3_conlat_1 B A)) (and (tptp.v6_conlat_1 _let_2 _let_1) (tptp.l3_conlat_1 _let_2 _let_1)))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k7_conlat_2 A))) (let ((_let_2 (tptp.k9_conlat_2 A B))) (=> (and (not (tptp.v3_conlat_1 A)) (tptp.l2_conlat_1 A) (not (tptp.v7_conlat_1 B A)) (tptp.v9_conlat_1 B A) (tptp.l3_conlat_1 B A)) (and (tptp.v6_conlat_1 _let_2 _let_1) (not (tptp.v7_conlat_1 _let_2 _let_1)) (tptp.v9_conlat_1 _let_2 _let_1) (tptp.l3_conlat_1 _let_2 _let_1)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_conlat_1 A)) (tptp.l2_conlat_1 A) (not (tptp.v7_conlat_1 B A)) (tptp.v9_conlat_1 B A) (tptp.l3_conlat_1 B A)) (= (tptp.k9_conlat_2 A B) (tptp.k8_conlat_2 A B)))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_conlat_1 A)) (tptp.l2_conlat_1 A)) (tptp.m1_lattice4 (tptp.k10_conlat_2 A) (tptp.k1_lattice2 (tptp.k11_conlat_1 A)) (tptp.k11_conlat_1 (tptp.k7_conlat_2 A))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_conlat_1 A)) (tptp.l2_conlat_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_conlat_1 A))) (let ((_let_2 (tptp.k1_zfmisc_1 _let_1))) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 _let_2))) (= (tptp.k8_funct_2 _let_2 (tptp.k1_zfmisc_1 (tptp.u2_conlat_1 A)) (tptp.k1_conlat_1 A) (tptp.k5_setfam_1 _let_1 B)) (tptp.k1_setfam_1 (tptp.a_2_0_conlat_2 A B))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_conlat_1 A)) (tptp.l2_conlat_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u2_conlat_1 A))) (let ((_let_2 (tptp.k1_zfmisc_1 _let_1))) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 _let_2))) (= (tptp.k8_funct_2 _let_2 (tptp.k1_zfmisc_1 (tptp.u1_conlat_1 A)) (tptp.k2_conlat_1 A) (tptp.k5_setfam_1 _let_1 B)) (tptp.k1_setfam_1 (tptp.a_2_1_conlat_2 A B))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_conlat_1 A)) (tptp.l2_conlat_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k3_conlat_2 A B))) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 (tptp.k11_conlat_1 A))))) (and (= (tptp.u4_conlat_1 A _let_1) (tptp.k1_funct_1 (tptp.k2_conlat_1 A) (tptp.k1_funct_1 (tptp.k1_conlat_1 A) (tptp.k3_tarski (tptp.a_2_2_conlat_2 A B))))) (= (tptp.u5_conlat_1 A _let_1) (tptp.k1_setfam_1 (tptp.a_2_3_conlat_2 A B))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_conlat_1 A)) (tptp.l2_conlat_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k2_conlat_2 A B))) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 (tptp.k11_conlat_1 A))))) (and (= (tptp.u4_conlat_1 A _let_1) (tptp.k1_setfam_1 (tptp.a_2_2_conlat_2 A B))) (= (tptp.u5_conlat_1 A _let_1) (tptp.k1_funct_1 (tptp.k1_conlat_1 A) (tptp.k1_funct_1 (tptp.k2_conlat_1 A) (tptp.k3_tarski (tptp.a_2_3_conlat_2 A B))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_conlat_1 A)) (tptp.l2_conlat_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v6_conlat_1 B A) (not (tptp.v7_conlat_1 B A)) (tptp.v9_conlat_1 B A) (tptp.l3_conlat_1 B A)) (= (tptp.k15_lattice3 (tptp.k11_conlat_1 A) (tptp.a_2_4_conlat_2 A B)) B))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_conlat_1 A)) (tptp.l2_conlat_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v6_conlat_1 B A) (not (tptp.v7_conlat_1 B A)) (tptp.v9_conlat_1 B A) (tptp.l3_conlat_1 B A)) (= (tptp.k16_lattice3 (tptp.k11_conlat_1 A) (tptp.a_2_5_conlat_2 A B)) B))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v3_conlat_1 B)) (tptp.l2_conlat_1 B) (not (tptp.v1_xboole_0 C)) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 (tptp.u1_conlat_1 B))))) (= (tptp.r2_hidden A (tptp.a_2_0_conlat_2 B C)) (exists ((D $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 (tptp.u1_conlat_1 B)))) (and (tptp.m1_subset_1 D _let_1) (= A (tptp.k8_funct_2 _let_1 (tptp.k1_zfmisc_1 (tptp.u2_conlat_1 B)) (tptp.k1_conlat_1 B) D)) (tptp.r2_hidden D C))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v3_conlat_1 B)) (tptp.l2_conlat_1 B) (not (tptp.v1_xboole_0 C)) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 (tptp.u2_conlat_1 B))))) (= (tptp.r2_hidden A (tptp.a_2_1_conlat_2 B C)) (exists ((D $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 (tptp.u2_conlat_1 B)))) (and (tptp.m1_subset_1 D _let_1) (= A (tptp.k8_funct_2 _let_1 (tptp.k1_zfmisc_1 (tptp.u1_conlat_1 B)) (tptp.k2_conlat_1 B) D)) (tptp.r2_hidden D C))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v3_conlat_1 B)) (tptp.l2_conlat_1 B) (not (tptp.v1_xboole_0 C)) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 (tptp.k11_conlat_1 B))))) (= (tptp.r2_hidden A (tptp.a_2_2_conlat_2 B C)) (exists ((D $$unsorted) (E $$unsorted)) (let ((_let_1 (tptp.g3_conlat_1 B D E))) (and (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_conlat_1 B))) (tptp.m1_subset_1 E (tptp.k1_zfmisc_1 (tptp.u2_conlat_1 B))) (= A (tptp.u4_conlat_1 B _let_1)) (tptp.r2_hidden _let_1 C))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v3_conlat_1 B)) (tptp.l2_conlat_1 B) (not (tptp.v1_xboole_0 C)) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 (tptp.k11_conlat_1 B))))) (= (tptp.r2_hidden A (tptp.a_2_3_conlat_2 B C)) (exists ((D $$unsorted) (E $$unsorted)) (let ((_let_1 (tptp.g3_conlat_1 B D E))) (and (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_conlat_1 B))) (tptp.m1_subset_1 E (tptp.k1_zfmisc_1 (tptp.u2_conlat_1 B))) (= A (tptp.u5_conlat_1 B _let_1)) (tptp.r2_hidden _let_1 C))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v3_conlat_1 B)) (tptp.l2_conlat_1 B) (tptp.v6_conlat_1 C B) (not (tptp.v7_conlat_1 C B)) (tptp.v9_conlat_1 C B) (tptp.l3_conlat_1 C B)) (= (tptp.r2_hidden A (tptp.a_2_4_conlat_2 B C)) (exists ((D $$unsorted) (E $$unsorted)) (and (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_conlat_1 B))) (tptp.m1_subset_1 E (tptp.k1_zfmisc_1 (tptp.u2_conlat_1 B))) (= A (tptp.g3_conlat_1 B D E)) (exists ((F $$unsorted)) (let ((_let_1 (tptp.u1_conlat_1 B))) (let ((_let_2 (tptp.k1_zfmisc_1 (tptp.u2_conlat_1 B)))) (let ((_let_3 (tptp.k1_zfmisc_1 _let_1))) (let ((_let_4 (tptp.k8_funct_2 _let_3 _let_2 (tptp.k1_conlat_1 B) (tptp.k6_domain_1 _let_1 F)))) (and (tptp.m1_subset_1 F _let_1) (tptp.r2_hidden F (tptp.u4_conlat_1 B C)) (= D (tptp.k8_funct_2 _let_2 _let_3 (tptp.k2_conlat_1 B) _let_4)) (= E _let_4)))))))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v3_conlat_1 B)) (tptp.l2_conlat_1 B) (tptp.v6_conlat_1 C B) (not (tptp.v7_conlat_1 C B)) (tptp.v9_conlat_1 C B) (tptp.l3_conlat_1 C B)) (= (tptp.r2_hidden A (tptp.a_2_5_conlat_2 B C)) (exists ((D $$unsorted) (E $$unsorted)) (and (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_conlat_1 B))) (tptp.m1_subset_1 E (tptp.k1_zfmisc_1 (tptp.u2_conlat_1 B))) (= A (tptp.g3_conlat_1 B D E)) (exists ((F $$unsorted)) (let ((_let_1 (tptp.u2_conlat_1 B))) (let ((_let_2 (tptp.k1_zfmisc_1 (tptp.u1_conlat_1 B)))) (let ((_let_3 (tptp.k1_zfmisc_1 _let_1))) (let ((_let_4 (tptp.k8_funct_2 _let_3 _let_2 (tptp.k2_conlat_1 B) (tptp.k6_domain_1 _let_1 F)))) (and (tptp.m1_subset_1 F _let_1) (tptp.r2_hidden F (tptp.u5_conlat_1 B C)) (= D _let_4) (= E (tptp.k8_funct_2 _let_2 _let_3 (tptp.k1_conlat_1 B) _let_4))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v7_waybel_0 A) (tptp.l1_orders_2 A)) (exists ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (and (tptp.m1_relset_1 B _let_1 _let_1) (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_1 _let_1) (tptp.v1_waybel28 B A)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.l1_orders_2 A)) (exists ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (and (tptp.m1_relset_1 B _let_1 _let_1) (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_1 _let_1) (tptp.v1_waybel28 B A)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.g1_waybel_0 A _let_1 (tptp.u1_orders_2 B) C))) (let ((_let_3 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_struct_0 A) (not (tptp.v3_struct_0 B)) (tptp.v3_orders_2 B) (tptp.v7_waybel_0 B) (tptp.l1_orders_2 B) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_1 _let_3) (tptp.m1_relset_1 C _let_1 _let_3)) (and (not (tptp.v3_struct_0 _let_2)) (tptp.v3_orders_2 _let_2) (tptp.v6_waybel_0 _let_2 A) (tptp.v7_waybel_0 _let_2))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k1_waybel28 A B C))) (let ((_let_2 (tptp.u1_struct_0 B))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_struct_0 A) (not (tptp.v3_struct_0 B)) (tptp.v3_orders_2 B) (tptp.v7_waybel_0 B) (tptp.l1_waybel_0 B A) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_2) (tptp.m1_relset_1 C _let_2 _let_2)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v3_orders_2 _let_1) (tptp.v6_waybel_0 _let_1 A) (tptp.v7_waybel_0 _let_1)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_struct_0 A) (not (tptp.v3_struct_0 B)) (tptp.v3_orders_2 B) (tptp.v7_waybel_0 B) (tptp.l1_waybel_0 B A)) (exists ((C $$unsorted)) (and (tptp.m2_yellow_6 C A B) (not (tptp.v3_struct_0 C)) (tptp.v3_orders_2 C) (tptp.v6_waybel_0 C A) (tptp.v7_waybel_0 C))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_orders_2 B) (tptp.v7_waybel_0 B) (tptp.l1_waybel_0 B A)) (tptp.r3_orders_2 A (tptp.k2_waybel_9 A B) (tptp.k1_waybel11 A B)))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_orders_2 B) (tptp.v7_waybel_0 B) (tptp.l1_waybel_0 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (=> (forall ((D $$unsorted)) (=> (tptp.m2_yellow_6 D A B) (= C (tptp.k1_waybel11 A D)))) (and (= C (tptp.k1_waybel11 A B)) (forall ((D $$unsorted)) (=> (tptp.m2_yellow_6 D A B) (tptp.r1_orders_2 A (tptp.k2_waybel_9 A D) C))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_orders_2 B) (tptp.v7_waybel_0 B) (tptp.l1_waybel_0 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (=> (and (tptp.r2_hidden B (tptp.k7_yellow_6 A)) (forall ((D $$unsorted)) (=> (tptp.m2_yellow_6 D A B) (=> (tptp.r2_hidden D (tptp.k7_yellow_6 A)) (= C (tptp.k1_waybel11 A D)))))) (and (= C (tptp.k1_waybel11 A B)) (forall ((D $$unsorted)) (=> (tptp.m2_yellow_6 D A B) (=> (tptp.r2_hidden D (tptp.k7_yellow_6 A)) (tptp.r1_orders_2 A (tptp.k2_waybel_9 A D) C)))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_1 _let_1) (tptp.m2_relset_1 B _let_1 _let_1)) (= (tptp.v1_waybel28 B A) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 C _let_1) (tptp.r1_orders_2 A C (tptp.k3_yellow_6 _let_1 A B C))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.l1_orders_2 A)) (tptp.v1_waybel28 (tptp.k7_grcat_1 A) A))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v7_waybel_0 A) (tptp.l1_orders_2 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 $$unsorted)) (and (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (tptp.r1_orders_2 A B D) (tptp.r1_orders_2 A C D))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v7_waybel_0 A) (tptp.l1_orders_2 A)) (exists ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_1 _let_1) (tptp.m2_relset_1 B _let_1 _let_1) (tptp.v1_waybel28 B A)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_struct_0 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.l1_waybel_0 B A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (=> (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 $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (=> (and (not (tptp.v3_struct_0 D)) (tptp.v6_waybel_0 D A) (tptp.l1_waybel_0 D A)) (= (= D (tptp.k1_waybel28 A B C)) (and (= (tptp.g1_orders_2 (tptp.u1_struct_0 D) (tptp.u1_orders_2 D)) (tptp.g1_orders_2 _let_1 (tptp.u1_orders_2 B))) (= (tptp.u1_waybel_0 A D) (tptp.k7_funct_2 _let_1 _let_1 (tptp.u1_struct_0 A) C (tptp.u1_waybel_0 A B))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_struct_0 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.l1_waybel_0 B A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_1 _let_1) (tptp.m2_relset_1 C _let_1 _let_1)) (= (tptp.u1_struct_0 (tptp.k1_waybel28 A B C)) _let_1)))))))) (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.l1_waybel_0 B A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_1 _let_1) (tptp.m2_relset_1 C _let_1 _let_1)) (= (tptp.k1_waybel28 A B C) (tptp.g1_waybel_0 A _let_1 (tptp.u1_orders_2 B) (tptp.k7_funct_2 _let_1 _let_1 (tptp.u1_struct_0 A) C (tptp.u1_waybel_0 A B))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_struct_0 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_orders_2 B) (tptp.v7_waybel_0 B) (tptp.l1_orders_2 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.g1_waybel_0 A _let_1 (tptp.u1_orders_2 B) C))) (let ((_let_3 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_1 _let_3) (tptp.m2_relset_1 C _let_1 _let_3)) (and (not (tptp.v3_struct_0 _let_2)) (tptp.v3_orders_2 _let_2) (tptp.v7_waybel_0 _let_2) (tptp.l1_waybel_0 _let_2 A))))))))))) (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.v3_orders_2 B) (tptp.v7_waybel_0 B) (tptp.l1_waybel_0 B A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k1_waybel28 A B C))) (let ((_let_2 (tptp.u1_struct_0 B))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_2) (tptp.m2_relset_1 C _let_2 _let_2)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v3_orders_2 _let_1) (tptp.v7_waybel_0 _let_1) (tptp.l1_waybel_0 _let_1 A)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_struct_0 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_orders_2 B) (tptp.v7_waybel_0 B) (tptp.l1_waybel_0 B A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k7_yellow_6 A))) (let ((_let_2 (tptp.u1_struct_0 B))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_2) (tptp.m2_relset_1 C _let_2 _let_2)) (=> (tptp.r2_hidden B _let_1) (tptp.r2_hidden (tptp.k1_waybel28 A B C) _let_1)))))))))) (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.v3_orders_2 B) (tptp.v7_waybel_0 B) (tptp.l1_waybel_0 B A)) (forall ((C $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.v3_orders_2 C) (tptp.v7_waybel_0 C) (tptp.l1_waybel_0 C A)) (=> (= (tptp.g1_waybel_0 A (tptp.u1_struct_0 B) (tptp.u1_orders_2 B) (tptp.u1_waybel_0 A B)) (tptp.g1_waybel_0 A (tptp.u1_struct_0 C) (tptp.u1_orders_2 C) (tptp.u1_waybel_0 A C))) (tptp.m2_yellow_6 C A B)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_struct_0 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_orders_2 B) (tptp.v7_waybel_0 B) (tptp.l1_waybel_0 B A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_1 _let_1) (tptp.v1_waybel28 C B) (tptp.m2_relset_1 C _let_1 _let_1)) (tptp.m2_yellow_6 (tptp.k1_waybel28 A B C) A B)))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_orders_2 B) (tptp.v7_waybel_0 B) (tptp.l1_waybel_0 B A)) (forall ((C $$unsorted)) (let ((_let_1 (= C (tptp.k1_waybel11 A B)))) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (=> (and (tptp.r2_hidden B (tptp.k7_yellow_6 A)) _let_1 (forall ((D $$unsorted)) (=> (tptp.m2_yellow_6 D A B) (=> (tptp.r2_hidden D (tptp.k7_yellow_6 A)) (tptp.r1_orders_2 A (tptp.k2_waybel_9 A D) C))))) (and _let_1 (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D _let_1 _let_1) (tptp.v1_waybel28 D B) (tptp.m2_relset_1 D _let_1 _let_1)) (tptp.r1_orders_2 A (tptp.k2_waybel_9 A (tptp.k2_waybel28 A B D)) C))))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_orders_2 B) (tptp.v7_waybel_0 B) (tptp.l1_waybel_0 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (=> (and (= C (tptp.k1_waybel11 A B)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D _let_1 _let_1) (tptp.v1_waybel28 D B) (tptp.m2_relset_1 D _let_1 _let_1)) (tptp.r1_orders_2 A (tptp.k2_waybel_9 A (tptp.k2_waybel28 A B D)) C))))) (forall ((D $$unsorted)) (=> (tptp.m2_yellow_6 D A B) (= C (tptp.k1_waybel11 A D))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m4_yellow_6 B A) (= (= B (tptp.k3_waybel28 A)) (forall ((C $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.v3_orders_2 C) (tptp.v7_waybel_0 C) (tptp.l1_waybel_0 C A)) (=> (tptp.r2_hidden C (tptp.k7_yellow_6 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (= (tptp.r2_hidden (tptp.k4_tarski C D) B) (forall ((E $$unsorted)) (=> (tptp.m2_yellow_6 E A C) (= D (tptp.k1_waybel11 A E))))))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_orders_2 B) (tptp.v7_waybel_0 B) (tptp.l1_waybel_0 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (=> (tptp.r2_hidden B (tptp.k7_yellow_6 A)) (= (tptp.r2_hidden (tptp.k4_tarski B C) (tptp.k3_waybel28 A)) (forall ((D $$unsorted)) (=> (tptp.m2_yellow_6 D A B) (=> (tptp.r2_hidden D (tptp.k7_yellow_6 A)) (= C (tptp.k1_waybel11 A D))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_orders_2 B) (tptp.v7_waybel_0 B) (tptp.v1_yellow_6 B A) (tptp.l1_waybel_0 B A)) (forall ((C $$unsorted)) (=> (tptp.m2_yellow_6 C A B) (and (tptp.v1_yellow_6 C A) (= (tptp.k5_yellow_6 A B) (tptp.k5_yellow_6 A C))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (= (tptp.k4_waybel28 A) (tptp.u1_pre_topc (tptp.k14_yellow_6 A (tptp.k3_waybel28 A)))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_lattice3 A) (tptp.l1_orders_2 A)) (tptp.v4_yellow_6 (tptp.k3_waybel28 A) A))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (tptp.v5_yellow_6 (tptp.k3_waybel28 A) A))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v3_waybel_3 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_lattice3 A) (tptp.l1_orders_2 A)) (tptp.v6_yellow_6 (tptp.k3_waybel28 A) A))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (forall ((B $$unsorted) (C $$unsorted)) (=> (tptp.r2_hidden (tptp.k4_tarski B C) (tptp.k3_waybel28 A)) (tptp.r2_hidden B (tptp.k7_yellow_6 A)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_struct_0 A)) (forall ((B $$unsorted)) (=> (tptp.m4_yellow_6 B A) (forall ((C $$unsorted)) (=> (tptp.m4_yellow_6 C A) (=> (tptp.r1_tarski B C) (tptp.r1_tarski (tptp.u1_pre_topc (tptp.k14_yellow_6 A C)) (tptp.u1_pre_topc (tptp.k14_yellow_6 A B)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.l1_orders_2 A)) (tptp.r1_tarski (tptp.k3_waybel28 A) (tptp.k2_waybel11 A)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.r1_tarski A B) (tptp.r2_hidden A (tptp.k2_yellow_6 B)))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.v1_waybel_0 B A) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (tptp.r2_hidden (tptp.k4_waybel17 A B) (tptp.k7_yellow_6 A)))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.v1_waybel_0 B A) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (forall ((C $$unsorted)) (=> (tptp.m2_yellow_6 C A (tptp.k4_waybel17 A B)) (= (tptp.k1_waybel11 A C) (tptp.k1_yellow_0 A B)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.v1_waybel_0 B A) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (tptp.r2_hidden (tptp.k4_tarski (tptp.k4_waybel17 A B) (tptp.k1_yellow_0 A B)) (tptp.k3_waybel28 A)))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (tptp.r2_hidden B (tptp.k4_waybel28 A)) (tptp.v3_waybel11 B A)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (tptp.r2_hidden B (tptp.k5_waybel11 A)) (tptp.r2_hidden B (tptp.k4_waybel28 A))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (and (tptp.v13_waybel_0 B A) (tptp.r2_hidden B (tptp.k4_waybel28 A))) (tptp.r2_hidden B (tptp.k5_waybel11 A))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 _let_1)) (=> (tptp.v12_waybel_0 B A) (= (tptp.r2_hidden (tptp.k3_subset_1 _let_1 B) (tptp.k4_waybel28 A)) (tptp.v2_waybel11 B A)))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k1_waybel28 A B C))) (let ((_let_2 (tptp.u1_struct_0 B))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_struct_0 A) (not (tptp.v3_struct_0 B)) (tptp.l1_waybel_0 B A) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_2) (tptp.m1_relset_1 C _let_2 _let_2)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v6_waybel_0 _let_1 A) (tptp.l1_waybel_0 _let_1 A)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k2_waybel28 A B C))) (let ((_let_2 (tptp.u1_struct_0 B))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_struct_0 A) (not (tptp.v3_struct_0 B)) (tptp.v3_orders_2 B) (tptp.v7_waybel_0 B) (tptp.l1_waybel_0 B A) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_2) (tptp.v1_waybel28 C B) (tptp.m1_relset_1 C _let_2 _let_2)) (and (tptp.v6_waybel_0 _let_1 A) (tptp.m2_yellow_6 _let_1 A B)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_struct_0 A) (not (tptp.v3_struct_0 B)) (tptp.v3_orders_2 B) (tptp.v7_waybel_0 B) (tptp.l1_waybel_0 B A) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_1 _let_1) (tptp.v1_waybel28 C B) (tptp.m1_relset_1 C _let_1 _let_1)) (= (tptp.k2_waybel28 A B C) (tptp.k1_waybel28 A B C))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (tptp.m4_yellow_6 (tptp.k3_waybel28 A) A))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (tptp.m1_subset_1 (tptp.k4_waybel28 A) (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.v3_waybel_3 A))) (let ((_let_2 (tptp.v3_lattice3 A))) (let ((_let_3 (tptp.v2_lattice3 A))) (let ((_let_4 (tptp.v1_lattice3 A))) (let ((_let_5 (tptp.v2_pre_topc A))) (let ((_let_6 (tptp.v4_orders_2 A))) (let ((_let_7 (tptp.v3_orders_2 A))) (let ((_let_8 (tptp.v2_orders_2 A))) (=> (tptp.l1_waybel_9 A) (=> (and _let_8 _let_7 _let_6 _let_5 (tptp.v4_waybel11 A) _let_4 _let_3 _let_2 _let_1) (and (not (tptp.v3_struct_0 A)) _let_8 _let_7 _let_6 (tptp.v1_yellow_0 A) (tptp.v2_yellow_0 A) (tptp.v3_yellow_0 A) (tptp.v24_waybel_0 A) (tptp.v25_waybel_0 A) _let_5 (not (tptp.v1_yellow_3 A)) _let_4 _let_3 _let_2 (tptp.v2_waybel_3 A) _let_1 (tptp.v2_waybel18 A) (tptp.v1_waybel25 A) (tptp.v2_t_0topsp A))))))))))))) (exists ((A $$unsorted)) (and (tptp.l1_waybel_9 A) (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_yellow_0 A) (tptp.v2_yellow_0 A) (tptp.v3_yellow_0 A) (tptp.v24_waybel_0 A) (tptp.v25_waybel_0 A) (tptp.v2_pre_topc A) (not (tptp.v1_yellow_3 A)) (tptp.v4_waybel11 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_lattice3 A) (tptp.v2_waybel_3 A) (tptp.v3_waybel_3 A) (tptp.v2_waybel18 A) (tptp.v1_waybel25 A) (tptp.v2_t_0topsp A))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k3_waybel24 A B))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A) (not (tptp.v3_struct_0 B)) (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.v24_waybel_0 B) (tptp.v2_pre_topc B) (tptp.v4_waybel11 B) (tptp.l1_waybel_9 B)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v1_orders_2 _let_1) (tptp.v2_orders_2 _let_1) (tptp.v3_orders_2 _let_1) (tptp.v4_orders_2 _let_1) (tptp.v24_waybel_0 _let_1) (not (tptp.v1_yellow_3 _let_1)) (tptp.v1_monoid_0 _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k6_yellow_1 A B))) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_orders_2 B) (tptp.v4_orders_2 B) (tptp.v1_yellow_0 B) (tptp.l1_orders_2 B)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v1_orders_2 _let_1) (tptp.v2_orders_2 _let_1) (tptp.v4_orders_2 _let_1) (tptp.v1_yellow_0 _let_1) (not (tptp.v1_yellow_3 _let_1)) (tptp.v1_monoid_0 _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k3_waybel24 A B))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A) (not (tptp.v3_struct_0 B)) (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.v1_yellow_0 B) (tptp.v2_pre_topc B) (tptp.l1_waybel_9 B)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v1_orders_2 _let_1) (tptp.v2_orders_2 _let_1) (tptp.v3_orders_2 _let_1) (tptp.v4_orders_2 _let_1) (tptp.v1_yellow_0 _let_1) (not (tptp.v1_yellow_3 _let_1)) (tptp.v1_monoid_0 _let_1))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v24_waybel_0 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_yellow_9 B A) (and (not (tptp.v3_struct_0 B)) (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.v24_waybel_0 B) (not (tptp.v1_yellow_3 B))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v24_waybel_0 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_yellow_9 B A) (=> (tptp.v4_waybel11 B) (and (not (tptp.v3_struct_0 B)) (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.v2_pre_topc B) (not (tptp.v1_yellow_3 B)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v24_waybel_0 A) (tptp.l1_orders_2 A)) (exists ((B $$unsorted)) (and (tptp.m1_yellow_9 B A) (not (tptp.v3_struct_0 B)) (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.v24_waybel_0 B) (tptp.v2_pre_topc B) (not (tptp.v1_yellow_3 B)) (tptp.v1_waybel_9 B) (tptp.v4_waybel11 B))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k1_waybel29 B))) (let ((_let_2 (tptp.k1_waybel29 A))) (let ((_let_3 (tptp.k2_waybel29 A B C))) (let ((_let_4 (tptp.u1_struct_0 _let_1))) (let ((_let_5 (tptp.u1_struct_0 _let_2))) (let ((_let_6 (tptp.u1_struct_0 B))) (let ((_let_7 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v24_waybel_0 A) (tptp.l1_orders_2 A) (not (tptp.v3_struct_0 B)) (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.v24_waybel_0 B) (tptp.l1_orders_2 B) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_7 _let_6) (tptp.v22_waybel_0 C A B) (tptp.m1_relset_1 C _let_7 _let_6)) (and (tptp.v1_relat_1 _let_3) (tptp.v1_funct_1 _let_3) (not (tptp.v1_xboole_0 _let_3)) (tptp.v1_funct_2 _let_3 _let_5 _let_4) (tptp.v1_partfun1 _let_3 _let_5 _let_4) (tptp.v5_pre_topc _let_3 _let_2 _let_1))))))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k2_yellow_1 (tptp.u1_pre_topc A)))) (let ((_let_2 (tptp.k1_waybel26 A tptp.k9_waybel18))) (let ((_let_3 (tptp.k4_waybel29 A))) (let ((_let_4 (tptp.u1_struct_0 _let_1))) (let ((_let_5 (tptp.u1_struct_0 _let_2))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (and (tptp.v1_relat_1 _let_3) (tptp.v1_funct_1 _let_3) (tptp.v2_funct_1 _let_3) (not (tptp.v1_xboole_0 _let_3)) (tptp.v1_funct_2 _let_3 _let_5 _let_4) (tptp.v2_funct_2 _let_3 _let_5 _let_4) (tptp.v3_funct_2 _let_3 _let_5 _let_4) (tptp.v5_orders_3 _let_3 _let_2 _let_1) (tptp.v1_partfun1 _let_3 _let_5 _let_4) (tptp.v23_waybel_0 _let_3 _let_2 _let_1))))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k1_waybel26 A tptp.k9_waybel18))) (let ((_let_2 (tptp.k2_yellow_1 (tptp.u1_pre_topc A)))) (let ((_let_3 (tptp.k2_tops_2 _let_1 _let_2 (tptp.k4_waybel29 A)))) (let ((_let_4 (tptp.u1_struct_0 _let_1))) (let ((_let_5 (tptp.u1_struct_0 _let_2))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (and (tptp.v1_relat_1 _let_3) (tptp.v1_funct_1 _let_3) (tptp.v2_funct_1 _let_3) (not (tptp.v1_xboole_0 _let_3)) (tptp.v1_funct_2 _let_3 _let_5 _let_4) (tptp.v2_funct_2 _let_3 _let_5 _let_4) (tptp.v3_funct_2 _let_3 _let_5 _let_4) (tptp.v1_funcop_1 _let_3) (tptp.v5_orders_3 _let_3 _let_2 _let_1) (tptp.v1_partfun1 _let_3 _let_5 _let_4) (tptp.v23_waybel_0 _let_3 _let_2 _let_1))))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k1_waybel25 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.v2_waybel18 A) (tptp.v2_t_0topsp A) (tptp.l1_pre_topc A)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v2_orders_2 _let_1) (tptp.v3_orders_2 _let_1) (tptp.v4_orders_2 _let_1) (tptp.v1_yellow_0 _let_1) (tptp.v2_yellow_0 _let_1) (tptp.v3_yellow_0 _let_1) (tptp.v24_waybel_0 _let_1) (tptp.v25_waybel_0 _let_1) (tptp.v2_pre_topc _let_1) (not (tptp.v1_yellow_3 _let_1)) (tptp.v1_waybel_9 _let_1) (tptp.v4_waybel11 _let_1) (tptp.v1_lattice3 _let_1) (tptp.v2_lattice3 _let_1) (tptp.v3_lattice3 _let_1) (tptp.v2_waybel_3 _let_1) (tptp.v3_waybel_3 _let_1) (tptp.v2_waybel18 _let_1) (tptp.v1_waybel25 _let_1) (tptp.v2_t_0topsp _let_1))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k1_waybel26 A tptp.k9_waybel18))) (=> (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.v1_orders_2 _let_1) (tptp.v2_orders_2 _let_1) (tptp.v3_orders_2 _let_1) (tptp.v4_orders_2 _let_1) (tptp.v1_yellow_0 _let_1) (tptp.v2_yellow_0 _let_1) (tptp.v3_yellow_0 _let_1) (tptp.v24_waybel_0 _let_1) (tptp.v25_waybel_0 _let_1) (not (tptp.v1_yellow_3 _let_1)) (tptp.v1_lattice3 _let_1) (tptp.v2_lattice3 _let_1) (tptp.v3_lattice3 _let_1) (tptp.v1_monoid_0 _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k3_waybel18 A (tptp.k7_waybel_5 A B)))) (=> (and (not (tptp.v1_xboole_0 A)) (not (tptp.v3_struct_0 B)) (tptp.v2_pre_topc B) (tptp.v2_waybel18 B) (tptp.v2_t_0topsp 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) (tptp.v2_waybel18 _let_1) (tptp.v1_waybel25 _let_1) (tptp.v2_t_0topsp _let_1) (tptp.v1_monoid_0 _let_1))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 (tptp.k6_yellow_1 A (tptp.k1_waybel26 B C))))) (let ((_let_2 (tptp.u1_struct_0 (tptp.k1_waybel26 B (tptp.k3_waybel18 A (tptp.k7_waybel_5 A C)))))) (let ((_let_3 (tptp.k5_waybel29 A B C))) (=> (and (not (tptp.v1_xboole_0 A)) (not (tptp.v3_struct_0 B)) (tptp.v2_pre_topc B) (tptp.l1_pre_topc B) (not (tptp.v3_struct_0 C)) (tptp.v2_pre_topc C) (tptp.l1_pre_topc C)) (and (tptp.v1_relat_1 _let_3) (tptp.v1_funct_1 _let_3) (tptp.v2_funct_1 _let_3) (not (tptp.v1_xboole_0 _let_3)) (tptp.v1_funct_2 _let_3 _let_2 _let_1) (tptp.v2_funct_2 _let_3 _let_2 _let_1) (tptp.v3_funct_2 _let_3 _let_2 _let_1) (tptp.v1_funcop_1 _let_3) (tptp.v1_partfun1 _let_3 _let_2 _let_1))))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k6_yellow_1 A (tptp.k1_waybel26 B tptp.k9_waybel18)))) (let ((_let_2 (tptp.k1_waybel26 B (tptp.k3_waybel18 A (tptp.k7_waybel_5 A tptp.k9_waybel18))))) (let ((_let_3 (tptp.k5_waybel29 A B tptp.k9_waybel18))) (let ((_let_4 (tptp.u1_struct_0 _let_1))) (let ((_let_5 (tptp.u1_struct_0 _let_2))) (=> (and (not (tptp.v1_xboole_0 A)) (not (tptp.v3_struct_0 B)) (tptp.v2_pre_topc B) (tptp.l1_pre_topc B)) (and (tptp.v1_relat_1 _let_3) (tptp.v1_funct_1 _let_3) (tptp.v2_funct_1 _let_3) (not (tptp.v1_xboole_0 _let_3)) (tptp.v1_funct_2 _let_3 _let_5 _let_4) (tptp.v2_funct_2 _let_3 _let_5 _let_4) (tptp.v3_funct_2 _let_3 _let_5 _let_4) (tptp.v1_funcop_1 _let_3) (tptp.v5_orders_3 _let_3 _let_2 _let_1) (tptp.v1_partfun1 _let_3 _let_5 _let_4) (tptp.v23_waybel_0 _let_3 _let_2 _let_1))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_struct_0 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.l1_struct_0 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.u1_struct_0 B))) (let ((_let_3 (tptp.k2_tops_2 A B C))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_1 _let_2) (tptp.m2_relset_1 C _let_1 _let_2)) (=> (and (tptp.v2_funct_1 C) (tptp.v2_funct_2 C _let_1 _let_2)) (and (= (tptp.k7_funct_2 _let_2 _let_1 _let_2 _let_3 C) (tptp.k7_grcat_1 B)) (= (tptp.k7_funct_2 _let_1 _let_2 _let_1 C _let_3) (tptp.k7_grcat_1 A)) (tptp.v2_funct_1 _let_3) (tptp.v2_funct_2 _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 $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.l1_orders_2 C)) (forall ((D $$unsorted)) (=> (and (not (tptp.v3_struct_0 D)) (tptp.m1_yellow_0 D (tptp.k6_yellow_1 (tptp.k2_zfmisc_1 A B) C))) (forall ((E $$unsorted)) (=> (and (not (tptp.v3_struct_0 E)) (tptp.m1_yellow_0 E (tptp.k6_yellow_1 A (tptp.k6_yellow_1 B C)))) (forall ((F $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 E))) (let ((_let_2 (tptp.u1_struct_0 D))) (=> (and (tptp.v1_funct_1 F) (tptp.v1_funct_2 F _let_2 _let_1) (tptp.m2_relset_1 F _let_2 _let_1)) (=> (and (tptp.v2_waybel27 F) (tptp.v2_funct_1 F) (tptp.v2_funct_2 F _let_2 _let_1)) (tptp.v1_waybel27 (tptp.k2_tops_2 D E F))))))))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.l1_orders_2 C)) (forall ((D $$unsorted)) (=> (and (not (tptp.v3_struct_0 D)) (tptp.m1_yellow_0 D (tptp.k6_yellow_1 (tptp.k2_zfmisc_1 A B) C))) (forall ((E $$unsorted)) (=> (and (not (tptp.v3_struct_0 E)) (tptp.m1_yellow_0 E (tptp.k6_yellow_1 A (tptp.k6_yellow_1 B C)))) (forall ((F $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 D))) (let ((_let_2 (tptp.u1_struct_0 E))) (=> (and (tptp.v1_funct_1 F) (tptp.v1_funct_2 F _let_2 _let_1) (tptp.m2_relset_1 F _let_2 _let_1)) (=> (and (tptp.v1_waybel27 F) (tptp.v2_funct_1 F) (tptp.v2_funct_2 F _let_2 _let_1)) (tptp.v2_waybel27 (tptp.k2_tops_2 E D F))))))))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.v2_orders_2 C) (tptp.v3_orders_2 C) (tptp.v4_orders_2 C) (tptp.l1_orders_2 C)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k6_yellow_1 (tptp.k2_zfmisc_1 A B) C))) (=> (and (not (tptp.v3_struct_0 D)) (tptp.v4_yellow_0 D _let_1) (tptp.m1_yellow_0 D _let_1)) (forall ((E $$unsorted)) (let ((_let_1 (tptp.k6_yellow_1 A (tptp.k6_yellow_1 B C)))) (=> (and (not (tptp.v3_struct_0 E)) (tptp.v4_yellow_0 E _let_1) (tptp.m1_yellow_0 E _let_1)) (forall ((F $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 E))) (let ((_let_2 (tptp.u1_struct_0 D))) (=> (and (tptp.v1_funct_1 F) (tptp.v1_funct_2 F _let_2 _let_1) (tptp.m2_relset_1 F _let_2 _let_1)) (=> (and (tptp.v2_waybel27 F) (tptp.v2_funct_1 F) (tptp.v2_funct_2 F _let_2 _let_1)) (tptp.v23_waybel_0 F D E)))))))))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.v2_orders_2 C) (tptp.v3_orders_2 C) (tptp.v4_orders_2 C) (tptp.l1_orders_2 C)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k6_yellow_1 (tptp.k2_zfmisc_1 A B) C))) (=> (and (not (tptp.v3_struct_0 D)) (tptp.v4_yellow_0 D _let_1) (tptp.m1_yellow_0 D _let_1)) (forall ((E $$unsorted)) (let ((_let_1 (tptp.k6_yellow_1 A (tptp.k6_yellow_1 B C)))) (=> (and (not (tptp.v3_struct_0 E)) (tptp.v4_yellow_0 E _let_1) (tptp.m1_yellow_0 E _let_1)) (forall ((F $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 D))) (let ((_let_2 (tptp.u1_struct_0 E))) (=> (and (tptp.v1_funct_1 F) (tptp.v1_funct_2 F _let_2 _let_1) (tptp.m2_relset_1 F _let_2 _let_1)) (=> (and (tptp.v1_waybel27 F) (tptp.v2_funct_1 F) (tptp.v2_funct_2 F _let_2 _let_1)) (tptp.v23_waybel_0 F E D)))))))))))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_orders_2 A) (forall ((B $$unsorted)) (=> (tptp.l1_orders_2 B) (forall ((C $$unsorted)) (=> (tptp.l1_orders_2 C) (forall ((D $$unsorted)) (=> (tptp.l1_orders_2 D) (=> (and (= (tptp.g1_orders_2 (tptp.u1_struct_0 A) (tptp.u1_orders_2 A)) (tptp.g1_orders_2 (tptp.u1_struct_0 B) (tptp.u1_orders_2 B))) (= (tptp.g1_orders_2 (tptp.u1_struct_0 C) (tptp.u1_orders_2 C)) (tptp.g1_orders_2 (tptp.u1_struct_0 D) (tptp.u1_orders_2 D)))) (forall ((E $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 C))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 E) (tptp.v1_funct_2 E _let_2 _let_1) (tptp.m2_relset_1 E _let_2 _let_1)) (=> (tptp.v23_waybel_0 E A C) (forall ((F $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 D))) (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)) (=> (= F E) (tptp.v23_waybel_0 F B D)))))))))))))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_orders_2 A) (forall ((B $$unsorted)) (=> (tptp.l1_orders_2 B) (forall ((C $$unsorted)) (=> (tptp.l1_orders_2 C) (forall ((D $$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)) (=> (tptp.v23_waybel_0 D A B) (forall ((E $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 C))) (let ((_let_2 (tptp.u1_struct_0 B))) (=> (and (tptp.v1_funct_1 E) (tptp.v1_funct_2 E _let_2 _let_1) (tptp.m2_relset_1 E _let_2 _let_1)) (=> (tptp.v23_waybel_0 E B C) (forall ((F $$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 (tptp.v1_funct_1 F) (tptp.v1_funct_2 F _let_3 _let_1) (tptp.m2_relset_1 F _let_3 _let_1)) (=> (= F (tptp.k1_partfun1 _let_3 _let_2 _let_2 _let_1 D E)) (tptp.v23_waybel_0 F A C))))))))))))))))))))))) 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 $$unsorted)) (=> (and (tptp.v2_pre_topc C) (tptp.l1_pre_topc C)) (forall ((D $$unsorted)) (=> (and (tptp.v2_pre_topc D) (tptp.l1_pre_topc D)) (=> (and (= (tptp.g1_pre_topc (tptp.u1_struct_0 A) (tptp.u1_pre_topc A)) (tptp.g1_pre_topc (tptp.u1_struct_0 C) (tptp.u1_pre_topc C))) (= (tptp.g1_pre_topc (tptp.u1_struct_0 B) (tptp.u1_pre_topc B)) (tptp.g1_pre_topc (tptp.u1_struct_0 D) (tptp.u1_pre_topc D)))) (= (tptp.k6_borsuk_1 A B) (tptp.k6_borsuk_1 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_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.v24_waybel_0 B) (tptp.v2_pre_topc B) (tptp.v4_waybel11 B) (tptp.l1_waybel_9 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (let ((_let_3 (tptp.k1_yellow_0 (tptp.k6_yellow_1 _let_2 B) C))) (let ((_let_4 (tptp.k3_waybel24 A B))) (=> (and (not (tptp.v1_xboole_0 C)) (tptp.v1_waybel_0 C _let_4) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 _let_4)))) (and (tptp.v1_funct_1 _let_3) (tptp.v1_funct_2 _let_3 _let_2 _let_1) (tptp.v5_pre_topc _let_3 A B) (tptp.m2_relset_1 _let_3 _let_2 _let_1)))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k6_yellow_1 (tptp.u1_struct_0 A) B))) (let ((_let_2 (tptp.k3_waybel24 A B))) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.v24_waybel_0 B) (tptp.v2_pre_topc B) (tptp.v4_waybel11 B) (tptp.l1_waybel_9 B)) (and (tptp.v4_waybel_0 _let_2 _let_1) (tptp.m1_yellow_0 _let_2 _let_1)))))))) (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (forall ((B $$unsorted)) (=> (tptp.l1_pre_topc B) (=> (= (tptp.g1_pre_topc (tptp.u1_struct_0 A) (tptp.u1_pre_topc A)) (tptp.g1_pre_topc (tptp.u1_struct_0 B) (tptp.u1_pre_topc B))) (forall ((C $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.l1_waybel_9 C)) (forall ((D $$unsorted)) (=> (and (not (tptp.v3_struct_0 D)) (tptp.l1_waybel_9 D)) (=> (= (tptp.g1_waybel_9 (tptp.u1_struct_0 C) (tptp.u1_orders_2 C) (tptp.u1_pre_topc C)) (tptp.g1_waybel_9 (tptp.u1_struct_0 D) (tptp.u1_orders_2 D) (tptp.u1_pre_topc D))) (= (tptp.k3_waybel24 A C) (tptp.k3_waybel24 B D)))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (and (tptp.v4_waybel_3 B) (tptp.v1_yellow16 B) (tptp.m1_pboole B A)) (=> (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C A) (tptp.v24_waybel_0 (tptp.k2_yellow16 A B C)))) (tptp.v24_waybel_0 (tptp.k5_yellow_1 A B))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (and (tptp.v4_waybel_3 B) (tptp.v5_waybel_3 B) (tptp.v1_yellow16 B) (tptp.m1_pboole B A)) (=> (forall ((C $$unsorted)) (let ((_let_1 (tptp.k2_yellow16 A B C))) (=> (tptp.m1_subset_1 C A) (and (tptp.v24_waybel_0 _let_1) (tptp.v1_yellow_0 _let_1))))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 (tptp.k5_yellow_1 A B))) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k5_yellow_1 A B))) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 _let_1)) (= (tptp.r1_waybel_3 _let_1 C D) (and (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E A) (tptp.r1_waybel_3 (tptp.k6_waybel_3 A B E) (tptp.k7_waybel_3 A B C E) (tptp.k7_waybel_3 A B D E)))) (exists ((E $$unsorted)) (and (tptp.v1_finset_1 E) (tptp.m1_subset_1 E (tptp.k1_zfmisc_1 A)) (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F A) (=> (not (tptp.r2_hidden F E)) (= (tptp.k7_waybel_3 A B C F) (tptp.k3_yellow_0 (tptp.k2_yellow16 A B F)))))))))))))))))))) true (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v24_waybel_0 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (tptp.v4_waybel11 B) (tptp.m1_yellow_9 B A)) (forall ((C $$unsorted)) (=> (and (tptp.v4_waybel11 C) (tptp.m1_yellow_9 C A)) (= (tptp.u1_pre_topc B) (tptp.u1_pre_topc C)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v4_orders_2 A) (tptp.v24_waybel_0 A) (tptp.l1_waybel_9 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_orders_2 B) (tptp.v4_orders_2 B) (tptp.v24_waybel_0 B) (tptp.l1_waybel_9 B)) (=> (and (= (tptp.g1_waybel_9 (tptp.u1_struct_0 A) (tptp.u1_orders_2 A) (tptp.u1_pre_topc A)) (tptp.g1_waybel_9 (tptp.u1_struct_0 B) (tptp.u1_orders_2 B) (tptp.u1_pre_topc B))) (tptp.v4_waybel11 A)) (tptp.v4_waybel11 B)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v24_waybel_0 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_waybel_9 B) (tptp.v4_waybel11 B) (tptp.m1_yellow_9 B A)) (= B (tptp.k1_waybel29 A)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v24_waybel_0 A) (tptp.v2_pre_topc A) (tptp.v4_waybel11 A) (tptp.l1_waybel_9 A)) (= (tptp.k1_waybel29 A) (tptp.g1_waybel_9 (tptp.u1_struct_0 A) (tptp.u1_orders_2 A) (tptp.u1_pre_topc A))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v24_waybel_0 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.v24_waybel_0 B) (tptp.l1_orders_2 B)) (=> (= (tptp.g1_orders_2 (tptp.u1_struct_0 A) (tptp.u1_orders_2 A)) (tptp.g1_orders_2 (tptp.u1_struct_0 B) (tptp.u1_orders_2 B))) (= (tptp.k1_waybel29 A) (tptp.k1_waybel29 B))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v24_waybel_0 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.v24_waybel_0 B) (tptp.l1_orders_2 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.m2_relset_1 C _let_2 _let_1)) (= (tptp.k2_waybel29 A B C) C))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v24_waybel_0 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.v24_waybel_0 B) (tptp.l1_orders_2 B)) (forall ((C $$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.v23_waybel_0 C A B) (tptp.v23_waybel_0 (tptp.k2_waybel29 A B C) (tptp.k1_waybel29 A) (tptp.k1_waybel29 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 (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.v2_pre_topc B) (tptp.v4_waybel11 B) (tptp.v1_lattice3 B) (tptp.v2_lattice3 B) (tptp.v3_lattice3 B) (tptp.l1_waybel_9 B)) (= (tptp.k1_waybel26 A B) (tptp.k3_waybel24 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.v2_pre_topc B) (tptp.l1_pre_topc B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 (tptp.k3_waybel24 A (tptp.k1_waybel29 (tptp.k2_yellow_1 (tptp.u1_pre_topc B))))))) (let ((_let_2 (tptp.u1_struct_0 (tptp.k2_yellow_1 (tptp.u1_pre_topc (tptp.k6_borsuk_1 A B)))))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.m2_relset_1 C _let_2 _let_1)) (= (= C (tptp.k3_waybel29 A B)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k6_borsuk_1 A B))) (=> (and (tptp.v3_pre_topc D _let_1) (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 _let_1)))) (= (tptp.k1_funct_1 C D) (tptp.k6_waybel26 D (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)) (let ((_let_1 (tptp.u1_struct_0 (tptp.k2_yellow_1 (tptp.u1_pre_topc A))))) (let ((_let_2 (tptp.u1_struct_0 (tptp.k1_waybel26 A tptp.k9_waybel18)))) (=> (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_waybel29 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 tptp.k9_waybel18))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.v5_pre_topc C A tptp.k9_waybel18) (tptp.m2_relset_1 C _let_2 _let_1)) (= (tptp.k1_funct_1 B C) (tptp.k5_pre_topc A tptp.k9_waybel18 C (tptp.k1_tarski tptp.np__1)))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (tptp.v3_pre_topc B A) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 _let_1))) (= (tptp.k1_funct_1 (tptp.k2_tops_2 (tptp.k1_waybel26 A tptp.k9_waybel18) (tptp.k2_yellow_1 (tptp.u1_pre_topc A)) (tptp.k4_waybel29 A)) B) (tptp.k5_funct_3 B _let_1))))))) (= (tptp.k1_waybel25 tptp.k9_waybel18) (tptp.k1_waybel29 (tptp.k3_yellow_1 tptp.np__1))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (and (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.v1_lattice3 B) (tptp.v2_lattice3 B) (tptp.v3_lattice3 B) (tptp.v3_waybel_3 B) (tptp.l1_orders_2 B)) (= (tptp.k1_waybel25 (tptp.k3_waybel18 A (tptp.k7_waybel_5 A (tptp.k1_waybel29 B)))) (tptp.k1_waybel29 (tptp.k5_yellow_1 A (tptp.k7_waybel_5 A B)))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_pre_topc B) (tptp.v2_waybel18 B) (tptp.v2_t_0topsp B) (tptp.l1_pre_topc B)) (= (tptp.k1_waybel25 (tptp.k3_waybel18 A (tptp.k7_waybel_5 A B))) (tptp.k1_waybel29 (tptp.k5_yellow_1 A (tptp.k7_waybel_5 A (tptp.k1_waybel25 B))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_pre_topc B) (tptp.l1_pre_topc B)) (forall ((C $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.v2_pre_topc C) (tptp.l1_pre_topc C)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 (tptp.k6_yellow_1 A (tptp.k1_waybel26 B C))))) (let ((_let_2 (tptp.u1_struct_0 (tptp.k1_waybel26 B (tptp.k3_waybel18 A (tptp.k7_waybel_5 A C)))))) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D _let_2 _let_1) (tptp.m2_relset_1 D _let_2 _let_1)) (= (= D (tptp.k5_waybel29 A B C)) (forall ((E $$unsorted)) (let ((_let_1 (tptp.k3_waybel18 A (tptp.k7_waybel_5 A C)))) (let ((_let_2 (tptp.u1_struct_0 _let_1))) (let ((_let_3 (tptp.u1_struct_0 B))) (=> (and (tptp.v1_funct_1 E) (tptp.v1_funct_2 E _let_3 _let_2) (tptp.v5_pre_topc E B _let_1) (tptp.m2_relset_1 E _let_3 _let_2)) (= (tptp.k1_funct_1 D E) (tptp.k10_funct_6 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 $$unsorted)) (=> (and (tptp.v4_waybel11 C) (tptp.m1_yellow_9 C (tptp.k2_yellow_1 (tptp.u1_pre_topc B)))) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 (tptp.k3_waybel24 A C))) (forall ((E $$unsorted)) (let ((_let_1 (tptp.k3_waybel24 A C))) (=> (tptp.m1_subset_1 E (tptp.u1_struct_0 _let_1)) (=> (tptp.r3_orders_2 _let_1 D E) (tptp.r1_tarski (tptp.k5_waybel26 D) (tptp.k5_waybel26 E)))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.v2_t_0topsp 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)) (=> (and (tptp.v2_orders_2 C) (tptp.v3_orders_2 C) (tptp.v4_orders_2 C) (tptp.v2_pre_topc C) (tptp.v4_waybel11 C) (tptp.v1_lattice3 C) (tptp.v2_lattice3 C) (tptp.v3_lattice3 C) (tptp.v3_waybel_3 C) (tptp.l1_waybel_9 C)) (forall ((D $$unsorted)) (=> (and (tptp.v4_waybel11 D) (tptp.m1_yellow_9 D (tptp.k3_waybel24 A C))) (exists ((E $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 (tptp.k3_waybel24 (tptp.k6_borsuk_1 B A) C)))) (let ((_let_2 (tptp.u1_struct_0 (tptp.k3_waybel24 B D)))) (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 $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 (tptp.k3_waybel24 B D)))) (let ((_let_2 (tptp.u1_struct_0 (tptp.k3_waybel24 (tptp.k6_borsuk_1 B A) C)))) (and (tptp.v1_funct_1 F) (tptp.v1_funct_2 F _let_2 _let_1) (tptp.m2_relset_1 F _let_2 _let_1) (tptp.v1_waybel27 E) (tptp.v2_funct_1 E) (tptp.v2_funct_2 E _let_1 _let_2) (tptp.v2_waybel27 F) (tptp.v2_funct_1 F) (tptp.v2_funct_2 F _let_2 _let_1))))))))))))))) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_pre_topc B) (tptp.l1_pre_topc B)) (forall ((C $$unsorted)) (=> (and (tptp.v2_orders_2 C) (tptp.v3_orders_2 C) (tptp.v4_orders_2 C) (tptp.v2_pre_topc C) (tptp.v4_waybel11 C) (tptp.v1_lattice3 C) (tptp.v2_lattice3 C) (tptp.v3_lattice3 C) (tptp.v3_waybel_3 C) (tptp.l1_waybel_9 C)) (forall ((D $$unsorted)) (=> (and (tptp.v4_waybel11 D) (tptp.m1_yellow_9 D (tptp.k3_waybel24 A C))) (exists ((E $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 (tptp.k3_waybel24 (tptp.k6_borsuk_1 B A) C)))) (let ((_let_2 (tptp.u1_struct_0 (tptp.k3_waybel24 B D)))) (and (tptp.v1_funct_1 E) (tptp.v1_funct_2 E _let_2 _let_1) (tptp.m2_relset_1 E _let_2 _let_1) (exists ((F $$unsorted)) (let ((_let_1 (tptp.k3_waybel24 B D))) (let ((_let_2 (tptp.k3_waybel24 (tptp.k6_borsuk_1 B A) C))) (let ((_let_3 (tptp.u1_struct_0 _let_1))) (let ((_let_4 (tptp.u1_struct_0 _let_2))) (and (tptp.v1_funct_1 F) (tptp.v1_funct_2 F _let_4 _let_3) (tptp.m2_relset_1 F _let_4 _let_3) (tptp.v1_waybel27 E) (tptp.v23_waybel_0 E _let_1 _let_2) (tptp.v2_waybel27 F) (tptp.v23_waybel_0 F _let_2 _let_1)))))))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.v2_t_0topsp A) (tptp.l1_pre_topc A)) (= (tptp.v3_waybel_3 (tptp.k2_yellow_1 (tptp.u1_pre_topc A))) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_pre_topc B) (tptp.l1_pre_topc B)) (tptp.v23_waybel_0 (tptp.k3_waybel29 B A) (tptp.k2_yellow_1 (tptp.u1_pre_topc (tptp.k6_borsuk_1 B A))) (tptp.k3_waybel24 B (tptp.k1_waybel29 (tptp.k2_yellow_1 (tptp.u1_pre_topc A)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.v2_t_0topsp A) (tptp.l1_pre_topc A)) (= (tptp.v3_waybel_3 (tptp.k2_yellow_1 (tptp.u1_pre_topc A))) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_pre_topc B) (tptp.l1_pre_topc B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k6_borsuk_1 B A))) (let ((_let_2 (tptp.k5_waybel26 C))) (let ((_let_3 (tptp.k1_waybel29 (tptp.k2_yellow_1 (tptp.u1_pre_topc A))))) (let ((_let_4 (tptp.u1_struct_0 _let_3))) (let ((_let_5 (tptp.u1_struct_0 B))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_5 _let_4) (tptp.v5_pre_topc C B _let_3) (tptp.m2_relset_1 C _let_5 _let_4)) (and (tptp.v3_pre_topc _let_2 _let_1) (tptp.m1_subset_1 _let_2 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 _let_1)))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.v2_t_0topsp A) (tptp.l1_pre_topc A)) (= (tptp.v3_waybel_3 (tptp.k2_yellow_1 (tptp.u1_pre_topc A))) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (and (tptp.v3_pre_topc C A) (tptp.m1_connsp_2 C A B)) (exists ((D $$unsorted)) (let ((_let_1 (tptp.k1_waybel29 (tptp.k2_yellow_1 (tptp.u1_pre_topc A))))) (and (tptp.v3_pre_topc D _let_1) (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 _let_1))) (tptp.r2_hidden C D) (tptp.m1_connsp_2 (tptp.k1_setfam_1 D) A B))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.l1_orders_2 B)) (forall ((C $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.l1_orders_2 C)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 C))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D _let_2 _let_1) (tptp.m2_relset_1 D _let_2 _let_1)) (=> (tptp.v23_waybel_0 D A C) (forall ((E $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 C))) (=> (and (tptp.v1_funct_1 E) (tptp.v1_funct_2 E _let_1 _let_2) (tptp.m2_relset_1 E _let_1 _let_2)) (=> (and (= E D) (tptp.v23_waybel_0 E B C)) (= (tptp.g1_orders_2 (tptp.u1_struct_0 A) (tptp.u1_orders_2 A)) (tptp.g1_orders_2 _let_1 (tptp.u1_orders_2 B))))))))))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_lattice3 A) (tptp.l1_orders_2 A)) (= (tptp.v3_waybel_3 (tptp.k2_yellow_1 (tptp.k5_waybel11 A))) (forall ((B $$unsorted)) (=> (and (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.v1_lattice3 B) (tptp.v2_lattice3 B) (tptp.v3_lattice3 B) (tptp.l1_orders_2 B)) (= (tptp.k5_waybel11 (tptp.k3_yellow_3 B A)) (tptp.u1_pre_topc (tptp.k6_borsuk_1 (tptp.k1_waybel29 B) (tptp.k1_waybel29 A))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_lattice3 A) (tptp.l1_orders_2 A)) (= (forall ((B $$unsorted)) (=> (and (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.v1_lattice3 B) (tptp.v2_lattice3 B) (tptp.v3_lattice3 B) (tptp.l1_orders_2 B)) (= (tptp.k5_waybel11 (tptp.k3_yellow_3 B A)) (tptp.u1_pre_topc (tptp.k6_borsuk_1 (tptp.k1_waybel29 B) (tptp.k1_waybel29 A)))))) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k1_waybel29 (tptp.k3_yellow_3 B A)))) (=> (and (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.v1_lattice3 B) (tptp.v2_lattice3 B) (tptp.v3_lattice3 B) (tptp.l1_orders_2 B)) (= (tptp.g1_pre_topc (tptp.u1_struct_0 _let_1) (tptp.u1_pre_topc _let_1)) (tptp.k6_borsuk_1 (tptp.k1_waybel29 B) (tptp.k1_waybel29 A))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_lattice3 A) (tptp.l1_orders_2 A)) (= (forall ((B $$unsorted)) (=> (and (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.v1_lattice3 B) (tptp.v2_lattice3 B) (tptp.v3_lattice3 B) (tptp.l1_orders_2 B)) (= (tptp.k5_waybel11 (tptp.k3_yellow_3 B A)) (tptp.u1_pre_topc (tptp.k6_borsuk_1 (tptp.k1_waybel29 B) (tptp.k1_waybel29 A)))))) (forall ((B $$unsorted)) (=> (and (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.v1_lattice3 B) (tptp.v2_lattice3 B) (tptp.v3_lattice3 B) (tptp.l1_orders_2 B)) (= (tptp.k1_waybel29 (tptp.k3_yellow_3 B A)) (tptp.k1_waybel25 (tptp.k6_borsuk_1 (tptp.k1_waybel29 B) (tptp.k1_waybel29 A))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_lattice3 A) (tptp.l1_orders_2 A)) (= (tptp.v3_waybel_3 (tptp.k2_yellow_1 (tptp.k5_waybel11 A))) (forall ((B $$unsorted)) (=> (and (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.v1_lattice3 B) (tptp.v2_lattice3 B) (tptp.v3_lattice3 B) (tptp.l1_orders_2 B)) (= (tptp.k1_waybel29 (tptp.k3_yellow_3 B A)) (tptp.k1_waybel25 (tptp.k6_borsuk_1 (tptp.k1_waybel29 B) (tptp.k1_waybel29 A))))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k1_waybel29 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v24_waybel_0 A) (tptp.l1_orders_2 A)) (and (tptp.v1_waybel_9 _let_1) (tptp.v4_waybel11 _let_1) (tptp.m1_yellow_9 _let_1 A))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 (tptp.k1_waybel29 B)))) (let ((_let_2 (tptp.u1_struct_0 (tptp.k1_waybel29 A)))) (let ((_let_3 (tptp.k2_waybel29 A B C))) (let ((_let_4 (tptp.u1_struct_0 B))) (let ((_let_5 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v24_waybel_0 A) (tptp.l1_orders_2 A) (not (tptp.v3_struct_0 B)) (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.v24_waybel_0 B) (tptp.l1_orders_2 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)) (let ((_let_1 (tptp.u1_struct_0 (tptp.k3_waybel24 A (tptp.k1_waybel29 (tptp.k2_yellow_1 (tptp.u1_pre_topc B))))))) (let ((_let_2 (tptp.u1_struct_0 (tptp.k2_yellow_1 (tptp.u1_pre_topc (tptp.k6_borsuk_1 A B)))))) (let ((_let_3 (tptp.k3_waybel29 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 $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 (tptp.k2_yellow_1 (tptp.u1_pre_topc A))))) (let ((_let_2 (tptp.u1_struct_0 (tptp.k1_waybel26 A tptp.k9_waybel18)))) (let ((_let_3 (tptp.k4_waybel29 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (and (tptp.v1_funct_1 _let_3) (tptp.v1_funct_2 _let_3 _let_2 _let_1) (tptp.m2_relset_1 _let_3 _let_2 _let_1))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 (tptp.k6_yellow_1 A (tptp.k1_waybel26 B C))))) (let ((_let_2 (tptp.u1_struct_0 (tptp.k1_waybel26 B (tptp.k3_waybel18 A (tptp.k7_waybel_5 A C)))))) (let ((_let_3 (tptp.k5_waybel29 A B C))) (=> (and (not (tptp.v1_xboole_0 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)) (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 $$unsorted)) (let ((_let_1 (tptp.k2_yellow_1 (tptp.u1_pre_topc A)))) (let ((_let_2 (tptp.k6_borsuk_1 (tptp.k1_waybel29 _let_1) A))) (let ((_let_3 (tptp.a_1_0_waybel29 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.v2_t_0topsp A) (tptp.l1_pre_topc A)) (= (tptp.v3_waybel_3 _let_1) (and (tptp.v3_pre_topc _let_3 _let_2) (tptp.m1_subset_1 _let_3 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 _let_2)))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_pre_topc B) (tptp.v2_t_0topsp B) (tptp.l1_pre_topc B)) (= (tptp.r2_hidden A (tptp.a_1_0_waybel29 B)) (exists ((C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (and (tptp.v3_pre_topc C B) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 _let_1)) (tptp.m1_subset_1 D _let_1) (= A (tptp.k4_tarski C D)) (tptp.r2_hidden D C))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k3_pralg_3 A B))) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.k1_funct_1 A B))) (=> (not (tptp.r1_xboole_0 (tptp.k10_relat_1 _let_1 (tptp.k1_tarski C)) (tptp.k10_relat_1 _let_1 D))) (tptp.r2_hidden C D))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (forall ((C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k4_card_3 A))) (=> (and (tptp.r2_hidden D (tptp.k1_funct_1 A C)) (tptp.r2_hidden B _let_1)) (tptp.r2_hidden (tptp.k2_funct_7 B C D) _let_1)))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted)) (=> (tptp.r2_hidden B (tptp.k1_relat_1 A)) (or (= (tptp.k4_card_3 A) tptp.k1_xboole_0) (= (tptp.k2_relat_1 (tptp.k3_pralg_3 A B)) (tptp.k1_funct_1 A B))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted)) (=> (tptp.r2_hidden B (tptp.k1_relat_1 A)) (= (tptp.k10_relat_1 (tptp.k3_pralg_3 A B) (tptp.k1_funct_1 A B)) (tptp.k4_card_3 A)))))) (forall ((A $$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 $$unsorted)) (=> (and (tptp.r2_hidden D (tptp.k1_funct_1 A C)) (tptp.r2_hidden C (tptp.k1_relat_1 A)) (tptp.r2_hidden B (tptp.k4_card_3 A))) (tptp.r2_hidden (tptp.k2_funct_7 B C D) (tptp.k10_relat_1 (tptp.k3_pralg_3 A C) (tptp.k1_tarski D))))))))) (forall ((A $$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) (D $$unsorted) (E $$unsorted) (F $$unsorted)) (let ((_let_1 (tptp.k10_relat_1 (tptp.k3_pralg_3 A D) F))) (=> (tptp.m1_subset_1 F (tptp.k1_zfmisc_1 (tptp.k1_funct_1 A D))) (=> (and (tptp.r2_hidden E (tptp.k1_funct_1 A C)) (tptp.r2_hidden C (tptp.k1_relat_1 A)) (tptp.r2_hidden B (tptp.k4_card_3 A))) (or (= C D) (= (tptp.r2_hidden B _let_1) (tptp.r2_hidden (tptp.k2_funct_7 B C E) _let_1))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (let ((_let_1 (tptp.k1_funct_1 A C))) (let ((_let_2 (tptp.k1_relat_1 A))) (=> (tptp.m1_subset_1 E (tptp.k1_zfmisc_1 _let_1)) (=> (and (tptp.r2_hidden D (tptp.k1_funct_1 A B)) (tptp.r2_hidden B _let_2) (tptp.r2_hidden C _let_2)) (or (= (tptp.k4_card_3 A) tptp.k1_xboole_0) (= E _let_1) (= (tptp.r1_tarski (tptp.k10_relat_1 (tptp.k3_pralg_3 A B) (tptp.k1_tarski D)) (tptp.k10_relat_1 (tptp.k3_pralg_3 A C) E)) (and (= B C) (tptp.r2_hidden D E))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (and (tptp.v4_waybel_3 B) (tptp.v1_waybel18 B) (tptp.m1_pboole B A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C A) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 (tptp.k3_waybel18 A B))) (= (tptp.k1_funct_1 (tptp.k6_waybel18 A B C) D) (tptp.k5_waybel18 A B D C)))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (and (tptp.v4_waybel_3 B) (tptp.v1_waybel18 B) (tptp.m1_pboole B A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C A) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 (tptp.k4_waybel18 A B C))) (forall ((E $$unsorted)) (let ((_let_1 (tptp.k6_waybel18 A B C))) (let ((_let_2 (tptp.k4_waybel18 A B C))) (let ((_let_3 (tptp.k3_waybel18 A B))) (=> (tptp.m1_subset_1 E (tptp.k1_zfmisc_1 (tptp.u1_struct_0 _let_2))) (=> (not (tptp.r1_xboole_0 (tptp.k5_pre_topc _let_3 _let_2 _let_1 (tptp.k1_struct_0 _let_2 D)) (tptp.k5_pre_topc _let_3 _let_2 _let_1 E))) (tptp.r2_hidden D E))))))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (and (tptp.v4_waybel_3 B) (tptp.v1_waybel18 B) (tptp.m1_pboole B A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k3_waybel18 A B))) (let ((_let_2 (tptp.k4_waybel18 A B C))) (=> (tptp.m1_subset_1 C A) (= (tptp.k5_pre_topc _let_1 _let_2 (tptp.k6_waybel18 A B C) (tptp.k2_pre_topc _let_2)) (tptp.k2_pre_topc _let_1)))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (and (tptp.v4_waybel_3 B) (tptp.v1_waybel18 B) (tptp.m1_pboole B A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C A) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 (tptp.k4_waybel18 A B C))) (forall ((E $$unsorted)) (let ((_let_1 (tptp.k4_waybel18 A B C))) (let ((_let_2 (tptp.k3_waybel18 A B))) (=> (tptp.m1_subset_1 E (tptp.u1_struct_0 _let_2)) (tptp.r2_hidden (tptp.k2_funct_7 E C D) (tptp.k5_pre_topc _let_2 _let_1 (tptp.k6_waybel18 A B C) (tptp.k1_struct_0 _let_1 D))))))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (and (tptp.v4_waybel_3 B) (tptp.v1_waybel18 B) (tptp.m1_pboole B A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C A) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D A) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.u1_struct_0 (tptp.k4_waybel18 A B C))) (forall ((F $$unsorted)) (let ((_let_1 (tptp.k4_waybel18 A B D))) (let ((_let_2 (tptp.k3_waybel18 A B))) (let ((_let_3 (tptp.k4_waybel18 A B C))) (=> (tptp.m1_subset_1 F (tptp.k1_zfmisc_1 (tptp.u1_struct_0 _let_1))) (=> (not (= F (tptp.k2_pre_topc _let_1))) (= (tptp.r1_tarski (tptp.k5_pre_topc _let_2 _let_3 (tptp.k6_waybel18 A B C) (tptp.k1_struct_0 _let_3 E)) (tptp.k5_pre_topc _let_2 _let_1 (tptp.k6_waybel18 A B D) F)) (and (= C D) (tptp.r2_hidden E F))))))))))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (and (tptp.v4_waybel_3 B) (tptp.v1_waybel18 B) (tptp.m1_pboole B A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C A) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D A) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.u1_struct_0 (tptp.k4_waybel18 A B C))) (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F (tptp.k1_zfmisc_1 (tptp.u1_struct_0 (tptp.k4_waybel18 A B D)))) (forall ((G $$unsorted)) (let ((_let_1 (tptp.k3_waybel18 A B))) (let ((_let_2 (tptp.k5_pre_topc _let_1 (tptp.k4_waybel18 A B D) (tptp.k6_waybel18 A B D) F))) (=> (tptp.m1_subset_1 G (tptp.u1_struct_0 _let_1)) (=> (not (= C D)) (= (tptp.r2_hidden G _let_2) (tptp.r2_hidden (tptp.k2_funct_7 G C E) _let_2))))))))))))))))))) true (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_pre_topc A)) (= (tptp.v2_compts_1 A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (not (and (tptp.v1_tops_2 B A) (tptp.r1_tarski (tptp.k2_pre_topc A) (tptp.k3_tarski B)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (not (and (tptp.r1_tarski C B) (tptp.r1_tarski (tptp.k2_pre_topc A) (tptp.k3_tarski C)) (tptp.v1_finset_1 C)))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m2_cantor_1 B A) (= (tptp.v2_compts_1 A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 B)) (not (and (tptp.r1_tarski (tptp.k2_pre_topc A) (tptp.k3_tarski C)) (forall ((D $$unsorted)) (=> (and (tptp.v1_finset_1 D) (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 C))) (not (tptp.r1_tarski (tptp.k2_pre_topc A) (tptp.k3_tarski D)))))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (and (tptp.v4_waybel_3 B) (tptp.v1_waybel18 B) (tptp.m1_pboole B A)) (forall ((C $$unsorted)) (not (and (tptp.r2_hidden C (tptp.k2_waybel18 A B)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D A) (forall ((E $$unsorted)) (let ((_let_1 (tptp.k4_waybel18 A B D))) (=> (tptp.m1_subset_1 E (tptp.k1_zfmisc_1 (tptp.u1_struct_0 _let_1))) (not (and (tptp.v3_pre_topc E _let_1) (= (tptp.k5_pre_topc (tptp.k3_waybel18 A B) _let_1 (tptp.k6_waybel18 A B D) E) C))))))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (and (tptp.v4_waybel_3 B) (tptp.v1_waybel18 B) (tptp.m1_pboole B A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C A) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 (tptp.k4_waybel18 A B C))) (forall ((E $$unsorted)) (let ((_let_1 (tptp.k3_waybel18 A B))) (let ((_let_2 (tptp.k4_waybel18 A B C))) (not (and (tptp.r2_hidden E (tptp.k2_waybel18 A B)) (tptp.r1_tarski (tptp.k5_pre_topc _let_1 _let_2 (tptp.k6_waybel18 A B C) (tptp.k1_struct_0 _let_2 D)) E) (not (= E (tptp.k2_pre_topc _let_1))) (forall ((F $$unsorted)) (let ((_let_1 (tptp.k4_waybel18 A B C))) (=> (tptp.m1_subset_1 F (tptp.k1_zfmisc_1 (tptp.u1_struct_0 _let_1))) (not (and (not (= F (tptp.k2_pre_topc _let_1))) (tptp.r2_hidden D F) (tptp.v3_pre_topc F _let_1) (= E (tptp.k5_pre_topc (tptp.k3_waybel18 A B) _let_1 (tptp.k6_waybel18 A B C) F)))))))))))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (and (tptp.v4_waybel_3 B) (tptp.v1_waybel18 B) (tptp.m1_pboole B A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C A) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 (tptp.k4_waybel18 A B C))) (forall ((E $$unsorted)) (let ((_let_1 (tptp.k3_tarski E))) (let ((_let_2 (tptp.k3_waybel18 A B))) (let ((_let_3 (tptp.k4_waybel18 A B C))) (=> (tptp.m1_subset_1 E (tptp.k1_zfmisc_1 (tptp.k2_waybel18 A B))) (=> (and (tptp.r1_tarski (tptp.k5_pre_topc _let_2 _let_3 (tptp.k6_waybel18 A B C) (tptp.k1_struct_0 _let_3 D)) _let_1) (forall ((F $$unsorted)) (let ((_let_1 (tptp.k4_waybel18 A B C))) (not (and (tptp.r2_hidden F (tptp.k2_waybel18 A B)) (tptp.r2_hidden F E) (tptp.r1_tarski (tptp.k5_pre_topc (tptp.k3_waybel18 A B) _let_1 (tptp.k6_waybel18 A B C) (tptp.k1_struct_0 _let_1 D)) F)))))) (tptp.r1_tarski (tptp.k2_pre_topc _let_2) _let_1))))))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (and (tptp.v4_waybel_3 B) (tptp.v1_waybel18 B) (tptp.m1_pboole B A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C A) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.k2_waybel18 A B))) (=> (forall ((E $$unsorted)) (=> (and (tptp.v1_finset_1 E) (tptp.m1_subset_1 E (tptp.k1_zfmisc_1 D))) (not (tptp.r1_tarski (tptp.k2_pre_topc (tptp.k3_waybel18 A B)) (tptp.k3_tarski E))))) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.u1_struct_0 (tptp.k4_waybel18 A B C))) (forall ((F $$unsorted)) (let ((_let_1 (tptp.k4_waybel18 A B C))) (=> (and (tptp.v1_finset_1 F) (tptp.m1_subset_1 F (tptp.k1_zfmisc_1 D))) (not (and (tptp.r1_tarski (tptp.k5_pre_topc (tptp.k3_waybel18 A B) _let_1 (tptp.k6_waybel18 A B C) (tptp.k1_struct_0 _let_1 E)) (tptp.k3_tarski F)) (forall ((G $$unsorted)) (let ((_let_1 (tptp.k4_waybel18 A B C))) (not (and (tptp.r2_hidden G (tptp.k2_waybel18 A B)) (tptp.r2_hidden G F) (tptp.r1_tarski (tptp.k5_pre_topc (tptp.k3_waybel18 A B) _let_1 (tptp.k6_waybel18 A B C) (tptp.k1_struct_0 _let_1 E)) G))))))))))))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (and (tptp.v4_waybel_3 B) (tptp.v1_waybel18 B) (tptp.m1_pboole B A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C A) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.k2_waybel18 A B))) (=> (forall ((E $$unsorted)) (=> (and (tptp.v1_finset_1 E) (tptp.m1_subset_1 E (tptp.k1_zfmisc_1 D))) (not (tptp.r1_tarski (tptp.k2_pre_topc (tptp.k3_waybel18 A B)) (tptp.k3_tarski E))))) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.u1_struct_0 (tptp.k4_waybel18 A B C))) (forall ((F $$unsorted)) (let ((_let_1 (tptp.k4_waybel18 A B C))) (=> (and (tptp.v1_finset_1 F) (tptp.m1_subset_1 F (tptp.k1_zfmisc_1 D))) (not (and (tptp.r1_tarski (tptp.k5_pre_topc (tptp.k3_waybel18 A B) _let_1 (tptp.k6_waybel18 A B C) (tptp.k1_struct_0 _let_1 E)) (tptp.k3_tarski F)) (forall ((G $$unsorted)) (let ((_let_1 (tptp.k4_waybel18 A B C))) (=> (tptp.m1_subset_1 G (tptp.k1_zfmisc_1 (tptp.u1_struct_0 _let_1))) (not (and (not (= G (tptp.k2_pre_topc _let_1))) (tptp.r2_hidden E G) (tptp.r2_hidden (tptp.k5_pre_topc (tptp.k3_waybel18 A B) _let_1 (tptp.k6_waybel18 A B C) G) F) (tptp.v3_pre_topc G _let_1)))))))))))))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (and (tptp.v4_waybel_3 B) (tptp.v1_waybel18 B) (tptp.m1_pboole B A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C A) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.k2_waybel18 A B))) (not (and (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E A) (tptp.v2_compts_1 (tptp.k4_waybel18 A B E)))) (forall ((E $$unsorted)) (=> (and (tptp.v1_finset_1 E) (tptp.m1_subset_1 E (tptp.k1_zfmisc_1 D))) (not (tptp.r1_tarski (tptp.k2_pre_topc (tptp.k3_waybel18 A B)) (tptp.k3_tarski E))))) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.u1_struct_0 (tptp.k4_waybel18 A B C))) (exists ((F $$unsorted)) (let ((_let_1 (tptp.k4_waybel18 A B C))) (and (tptp.v1_finset_1 F) (tptp.m1_subset_1 F (tptp.k1_zfmisc_1 D)) (tptp.r1_tarski (tptp.k5_pre_topc (tptp.k3_waybel18 A B) _let_1 (tptp.k6_waybel18 A B C) (tptp.k1_struct_0 _let_1 E)) (tptp.k3_tarski F))))))))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (and (tptp.v4_waybel_3 B) (tptp.v1_waybel18 B) (tptp.m1_pboole B A)) (=> (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C A) (tptp.v2_compts_1 (tptp.k4_waybel18 A B C)))) (tptp.v2_compts_1 (tptp.k3_waybel18 A B))))))) (=> (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.f1_s1_yellow17) (exists ((B $$unsorted)) (and (tptp.m1_subset_1 B (tptp.u1_struct_0 (tptp.k4_waybel18 tptp.f1_s1_yellow17 tptp.f2_s1_yellow17 A))) (tptp.p1_s1_yellow17 B A))))) (exists ((A $$unsorted)) (and (tptp.m1_subset_1 A (tptp.u1_struct_0 (tptp.k3_waybel18 tptp.f1_s1_yellow17 tptp.f2_s1_yellow17))) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.f1_s1_yellow17) (tptp.p1_s1_yellow17 (tptp.k5_waybel18 tptp.f1_s1_yellow17 tptp.f2_s1_yellow17 A B) B)))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (and (tptp.v4_waybel_3 B) (tptp.v1_waybel18 B) (tptp.m1_pboole B A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C A) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k4_waybel18 A B C))) (=> (and (not (tptp.v1_xboole_0 D)) (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 _let_1))))) (=> (tptp.r1_tarski (tptp.k2_pre_topc _let_1) (tptp.k3_tarski D)) (tptp.r1_tarski (tptp.k2_pre_topc (tptp.k3_waybel18 A B)) (tptp.k3_tarski (tptp.a_4_0_yellow17 A B C D))))))))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.v4_waybel_3 C) (tptp.v1_waybel18 C) (tptp.m1_pboole C B) (tptp.m1_subset_1 D B) (not (tptp.v1_xboole_0 E)) (tptp.m1_subset_1 E (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 (tptp.k4_waybel18 B C D)))))) (= (tptp.r2_hidden A (tptp.a_4_0_yellow17 B C D E)) (exists ((F $$unsorted)) (let ((_let_1 (tptp.k4_waybel18 B C D))) (and (tptp.m2_subset_1 F (tptp.k1_zfmisc_1 (tptp.u1_struct_0 _let_1)) E) (= A (tptp.k5_pre_topc (tptp.k3_waybel18 B C) _let_1 (tptp.k6_waybel18 B C D) F)))))))) (exists ((A $$unsorted)) (and (tptp.l1_waybel_9 A) (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v2_yellow_0 A) (tptp.v24_waybel_0 A) (tptp.v2_pre_topc A) (tptp.v1_waybel_9 A) (tptp.v4_waybel11 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.v2_pre_topc A))) (let ((_let_2 (tptp.v2_orders_2 A))) (let ((_let_3 (not (tptp.v3_struct_0 A)))) (=> (tptp.l1_waybel_9 A) (=> (and _let_3 _let_2 _let_1 (tptp.v3_realset2 A)) (and _let_3 _let_2 _let_1 (tptp.v1_waybel32 A)))))))) (exists ((A $$unsorted)) (and (tptp.l1_waybel_9 A) (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v2_yellow_0 A) (tptp.v16_waybel_0 A) (tptp.v24_waybel_0 A) (tptp.v2_pre_topc A) (tptp.v2_waybel_3 A) (tptp.v1_waybel_9 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_realset2 A) (tptp.v1_waybel32 A))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v24_waybel_0 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_yellow_9 B A) (=> (tptp.v4_waybel11 B) (and (not (tptp.v3_struct_0 B)) (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.v24_waybel_0 B) (tptp.v2_pre_topc B) (not (tptp.v1_yellow_3 B)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v24_waybel_0 A) (tptp.l1_orders_2 A)) (exists ((B $$unsorted)) (and (tptp.m1_yellow_9 B A) (not (tptp.v3_struct_0 B)) (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.v24_waybel_0 B) (tptp.v2_pre_topc B) (not (tptp.v1_yellow_3 B)) (tptp.v4_waybel11 B))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v24_waybel_0 A) (tptp.v25_waybel_0 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 A)) (exists ((B $$unsorted)) (and (tptp.m1_yellow_9 B A) (not (tptp.v3_struct_0 B)) (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.v24_waybel_0 B) (tptp.v2_pre_topc B) (not (tptp.v1_yellow_3 B)) (tptp.v1_waybel_9 B) (tptp.v4_waybel11 B))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v24_waybel_0 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_yellow_9 B A) (and (not (tptp.v3_struct_0 B)) (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.v24_waybel_0 B) (not (tptp.v1_yellow_3 B))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v24_waybel_0 A) (tptp.l1_waybel_9 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (tptp.v12_waybel_0 B A) (tptp.v3_waybel11 B A)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v24_waybel_0 A) (tptp.l1_orders_2 A)) (exists ((B $$unsorted)) (and (tptp.m1_yellow_9 B A) (not (tptp.v3_struct_0 B)) (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.v24_waybel_0 B) (tptp.v2_pre_topc B) (not (tptp.v1_yellow_3 B)) (tptp.v2_waybel32 B))))) (exists ((A $$unsorted)) (and (tptp.l1_waybel_9 A) (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_yellow_0 A) (tptp.v2_yellow_0 A) (tptp.v3_yellow_0 A) (tptp.v24_waybel_0 A) (tptp.v25_waybel_0 A) (tptp.v2_pre_topc A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_lattice3 A) (tptp.v2_waybel32 A))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k1_waybel32 A B C))) (let ((_let_2 (tptp.u1_struct_0 A))) (let ((_let_3 (tptp.u1_struct_0 B))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_struct_0 A) (not (tptp.v3_struct_0 B)) (tptp.v3_orders_2 B) (tptp.l1_orders_2 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 (not (tptp.v3_struct_0 _let_1)) (tptp.v3_orders_2 _let_1) (tptp.v6_waybel_0 _let_1 A))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k1_waybel32 A B C))) (let ((_let_2 (tptp.u1_struct_0 A))) (let ((_let_3 (tptp.u1_struct_0 B))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_struct_0 A) (not (tptp.v3_struct_0 B)) (tptp.v7_waybel_0 B) (tptp.l1_orders_2 B) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_3 _let_2) (tptp.m1_relset_1 C _let_3 _let_2)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v6_waybel_0 _let_1 A) (tptp.v7_waybel_0 _let_1))))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k2_waybel32 A B))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A) (not (tptp.v3_struct_0 B)) (tptp.v3_orders_2 B) (tptp.v7_waybel_0 B) (tptp.l1_waybel_0 B A)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v3_orders_2 _let_1) (tptp.v6_waybel_0 _let_1 A) (tptp.v7_waybel_0 _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k2_waybel32 A B))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A) (not (tptp.v3_struct_0 B)) (tptp.v3_orders_2 B) (tptp.v7_waybel_0 B) (tptp.l1_waybel_0 B A)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v3_orders_2 _let_1) (tptp.v6_waybel_0 _let_1 A) (tptp.v7_waybel_0 _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k2_waybel32 A B))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v4_orders_2 A) (tptp.v25_waybel_0 A) (tptp.l1_orders_2 A) (not (tptp.v3_struct_0 B)) (tptp.v3_orders_2 B) (tptp.v7_waybel_0 B) (tptp.l1_waybel_0 B A)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v3_orders_2 _let_1) (tptp.v6_waybel_0 _let_1 A) (tptp.v7_waybel_0 _let_1) (tptp.v8_waybel_0 _let_1 A) (tptp.v10_waybel_0 _let_1 A))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k2_waybel32 A B))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v4_orders_2 A) (tptp.v25_waybel_0 A) (tptp.l1_orders_2 A) (not (tptp.v3_struct_0 B)) (tptp.v3_orders_2 B) (tptp.v7_waybel_0 B) (tptp.l1_waybel_0 B A)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v3_orders_2 _let_1) (tptp.v6_waybel_0 _let_1 A) (tptp.v7_waybel_0 _let_1) (tptp.v8_waybel_0 _let_1 A) (tptp.v10_waybel_0 _let_1 A))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v2_pre_topc A) (tptp.l1_waybel_9 A)) (= (tptp.v2_waybel32 A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (and (= (tptp.k6_waybel_0 A B) (tptp.k6_pre_topc A (tptp.k1_struct_0 A B))) (forall ((C $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.v3_orders_2 C) (tptp.v7_waybel_0 C) (tptp.v10_waybel_0 C A) (tptp.l1_waybel_0 C A)) (=> (= B (tptp.k1_waybel_2 A C)) (forall ((D $$unsorted)) (=> (tptp.m1_connsp_2 D A B) (tptp.r1_waybel_0 A C D)))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v24_waybel_0 A) (tptp.v2_pre_topc A) (tptp.v1_waybel32 A) (tptp.l1_waybel_9 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (tptp.v3_pre_topc B A) (tptp.v13_waybel_0 B A)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v24_waybel_0 A) (tptp.v2_pre_topc A) (tptp.l1_waybel_9 A)) (=> (tptp.v1_waybel32 A) (tptp.v2_waybel32 A)))) true true true true (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v24_waybel_0 A) (tptp.l1_orders_2 A)) (exists ((B $$unsorted)) (and (tptp.m1_yellow_9 B A) (tptp.v4_waybel11 B))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v24_waybel_0 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_yellow_9 B A) (=> (tptp.v4_waybel11 B) (tptp.v2_pre_topc B)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v24_waybel_0 A) (tptp.v4_waybel11 A) (tptp.l1_waybel_9 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (= (tptp.k6_pre_topc A (tptp.k1_struct_0 A B)) (tptp.k6_waybel_0 A B)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v24_waybel_0 A) (tptp.v2_pre_topc A) (tptp.v4_waybel11 A) (tptp.l1_waybel_9 A)) (tptp.v2_waybel32 A))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v25_waybel_0 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 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 B) (tptp.r3_orders_2 A (tptp.k2_yellow_0 A B) C)))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v25_waybel_0 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v7_waybel_0 B) (tptp.v8_waybel_0 B A) (tptp.l1_waybel_0 B A)) (= (tptp.k1_waybel11 A B) (tptp.k1_waybel_2 A B)))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v25_waybel_0 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (tptp.r2_hidden B (tptp.u1_pre_topc (tptp.k14_yellow_6 A (tptp.k2_waybel11 A)))) (and (tptp.v1_waybel11 B A) (tptp.v13_waybel_0 B A))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v24_waybel_0 A) (tptp.v25_waybel_0 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_yellow_9 B A) (=> (= (tptp.u1_pre_topc B) (tptp.k5_waybel11 A)) (tptp.v4_waybel11 B)))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v24_waybel_0 A) (tptp.v25_waybel_0 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (tptp.v4_waybel11 B) (tptp.m1_yellow_9 B A)) (= (tptp.k5_waybel11 A) (tptp.u1_pre_topc B)))))) (forall ((A $$unsorted)) (let ((_let_1 (not (tptp.v3_struct_0 A)))) (=> (and _let_1 (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v24_waybel_0 A) (tptp.v4_waybel11 A) (tptp.l1_waybel_9 A)) (and _let_1 (tptp.v2_pre_topc A) (tptp.v2_t_0topsp A) (tptp.l1_pre_topc A))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v24_waybel_0 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (tptp.v4_waybel11 B) (tptp.m1_yellow_9 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 B)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (=> (and (tptp.v13_waybel_0 D B) (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 _let_1))) (=> (not (tptp.r2_hidden C D)) (tptp.m2_connsp_2 (tptp.k3_subset_1 _let_1 (tptp.k6_waybel_0 B C)) B D))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v24_waybel_0 A) (tptp.l1_waybel_9 A)) (forall ((B $$unsorted)) (=> (and (tptp.v4_waybel11 B) (tptp.m1_yellow_9 B A)) (forall ((C $$unsorted)) (=> (and (tptp.v13_waybel_0 C B) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B)))) (exists ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (and (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 _let_1))) (= C (tptp.k6_setfam_1 _let_1 D)) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B))) (=> (tptp.r2_hidden E D) (tptp.m2_connsp_2 E B C))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v24_waybel_0 A) (tptp.v4_waybel11 A) (tptp.l1_waybel_9 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (tptp.v3_pre_topc B A) (and (tptp.v13_waybel_0 B A) (tptp.v3_waybel11 B A))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v24_waybel_0 A) (tptp.l1_waybel_9 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.v1_waybel_0 B A) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (=> (tptp.r2_hidden C B) (tptp.r3_orders_2 A C (tptp.k1_yellow_0 A B))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v24_waybel_0 A) (tptp.v6_group_1 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (tptp.v1_waybel11 B A))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v16_waybel_0 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (tptp.v4_waybel11 B) (tptp.m1_yellow_9 B A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (=> (tptp.m1_subset_1 C _let_1) (tptp.v3_pre_topc (tptp.k3_subset_1 _let_1 (tptp.k6_waybel_0 B C)) B)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_waybel_9 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (and (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (tptp.k6_waybel_0 A C) (tptp.k6_pre_topc A (tptp.k1_struct_0 A C))))) (tptp.v3_pre_topc B A)) (tptp.v13_waybel_0 B A)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_waybel_9 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.k6_waybel_0 A C) (tptp.k6_pre_topc A (tptp.k1_struct_0 A C))))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (tptp.v4_pre_topc C A) (tptp.v12_waybel_0 C A))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v24_waybel_0 A) (tptp.v25_waybel_0 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_orders_2 B) (tptp.v7_waybel_0 B) (tptp.l1_waybel_0 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 B)) (= (tptp.k1_waybel11 A (tptp.k6_waybel_9 A B C)) (tptp.k1_waybel11 A B)))))))) (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.l1_orders_2 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.u1_struct_0 B))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.m2_relset_1 C _let_2 _let_1)) (forall ((D $$unsorted)) (=> (and (not (tptp.v3_struct_0 D)) (tptp.v6_waybel_0 D A) (tptp.l1_waybel_0 D A)) (= (= D (tptp.k1_waybel32 A B C)) (and (= (tptp.g1_orders_2 (tptp.u1_struct_0 D) (tptp.u1_orders_2 D)) (tptp.g1_orders_2 (tptp.u1_struct_0 B) (tptp.u1_orders_2 B))) (= (tptp.u1_waybel_0 A D) C))))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v24_waybel_0 A) (tptp.v25_waybel_0 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_orders_2 B) (tptp.v7_waybel_0 B) (tptp.l1_waybel_0 B A)) (= (tptp.k1_waybel_2 A (tptp.k2_waybel32 A B)) (tptp.k1_waybel11 A B)))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v24_waybel_0 A) (tptp.v25_waybel_0 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_orders_2 B) (tptp.v7_waybel_0 B) (tptp.l1_waybel_0 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 B)) (= (tptp.k1_waybel_2 A (tptp.k2_waybel32 A B)) (tptp.k1_waybel11 A (tptp.k6_waybel_9 A B C))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v25_waybel_0 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_orders_2 B) (tptp.v7_waybel_0 B) (tptp.l1_waybel_0 B A)) (forall ((C $$unsorted)) (=> (and (tptp.v13_waybel_0 C A) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (=> (tptp.r1_waybel_0 A (tptp.k2_waybel32 A B) C) (tptp.r1_waybel_0 A B C)))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v25_waybel_0 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_orders_2 B) (tptp.v7_waybel_0 B) (tptp.l1_waybel_0 B A)) (forall ((C $$unsorted)) (=> (and (tptp.v12_waybel_0 C A) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (=> (tptp.r1_waybel_0 A B C) (tptp.r1_waybel_0 A (tptp.k2_waybel32 A B) C)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v24_waybel_0 A) (tptp.v25_waybel_0 A) (tptp.v2_pre_topc A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v2_waybel32 A) (tptp.l1_waybel_9 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_orders_2 B) (tptp.v7_waybel_0 B) (tptp.l1_waybel_0 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (=> (tptp.r3_orders_2 A C (tptp.k1_waybel11 A B)) (tptp.r3_waybel_9 A B C)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v24_waybel_0 A) (tptp.v25_waybel_0 A) (tptp.v2_pre_topc A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v2_waybel32 A) (tptp.l1_waybel_9 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_orders_2 B) (tptp.v7_waybel_0 B) (tptp.v10_waybel_0 B A) (tptp.l1_waybel_0 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (tptp.r3_orders_2 A C (tptp.k1_waybel11 A B)) (tptp.r3_waybel_9 A B C)))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k1_waybel32 A B C))) (let ((_let_2 (tptp.u1_struct_0 A))) (let ((_let_3 (tptp.u1_struct_0 B))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_struct_0 A) (not (tptp.v3_struct_0 B)) (tptp.l1_orders_2 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 (not (tptp.v3_struct_0 _let_1)) (tptp.v6_waybel_0 _let_1 A) (tptp.l1_waybel_0 _let_1 A))))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k2_waybel32 A B))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A) (not (tptp.v3_struct_0 B)) (tptp.v7_waybel_0 B) (tptp.l1_waybel_0 B A)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v6_waybel_0 _let_1 A) (tptp.v7_waybel_0 _let_1) (tptp.l1_waybel_0 _let_1 A))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_waybel_9 A)) (= (tptp.v1_waybel32 A) (tptp.m2_cantor_1 (tptp.a_1_0_waybel32 A) A)))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v25_waybel_0 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_orders_2 B) (tptp.v7_waybel_0 B) (tptp.l1_waybel_0 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (= C (tptp.a_2_0_waybel32 A B)) (and (not (tptp.v1_xboole_0 C)) (tptp.v1_waybel_0 C A))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v16_waybel_0 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (tptp.v4_waybel11 B) (tptp.m1_yellow_9 B A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 _let_1)) (= (tptp.v3_pre_topc C B) (or (= C _let_1) (tptp.r2_hidden C (tptp.a_2_1_waybel32 A B))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v7_waybel_0 B) (tptp.l1_waybel_0 B A)) (forall ((C $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.v6_waybel_0 C A) (tptp.v7_waybel_0 C) (tptp.l1_waybel_0 C A)) (= (= C (tptp.k2_waybel32 A B)) (exists ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.u1_struct_0 B))) (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D _let_2 _let_1) (tptp.m2_relset_1 D _let_2 _let_1) (= C (tptp.k1_waybel32 A B D)) (forall ((E $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (=> (tptp.m1_subset_1 E _let_1) (= (tptp.k3_yellow_6 _let_1 A D E) (tptp.k2_yellow_0 A (tptp.a_3_1_waybel32 A B E))))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k2_waybel32 A B))) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_orders_2 B) (tptp.v7_waybel_0 B) (tptp.l1_waybel_0 B A)) (= (tptp.k5_relset_1 (tptp.u1_struct_0 _let_1) (tptp.u1_struct_0 A) (tptp.u1_waybel_0 A _let_1)) (tptp.a_2_2_waybel32 A B))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.l1_waybel_9 B)) (= (tptp.r2_hidden A (tptp.a_1_0_waybel32 B)) (exists ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (and (tptp.m1_subset_1 C _let_1) (= A (tptp.k3_subset_1 _let_1 (tptp.k6_waybel_0 B C))))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.v25_waybel_0 B) (tptp.v2_lattice3 B) (tptp.l1_orders_2 B) (not (tptp.v3_struct_0 C)) (tptp.v3_orders_2 C) (tptp.v7_waybel_0 C) (tptp.l1_waybel_0 C B)) (= (tptp.r2_hidden A (tptp.a_2_0_waybel32 B C)) (exists ((D $$unsorted)) (and (tptp.m1_subset_1 D (tptp.u1_struct_0 C)) (= A (tptp.k2_yellow_0 B (tptp.a_3_0_waybel32 B C D)))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.v25_waybel_0 B) (tptp.v2_lattice3 B) (tptp.l1_orders_2 B) (not (tptp.v3_struct_0 C)) (tptp.v3_orders_2 C) (tptp.v7_waybel_0 C) (tptp.l1_waybel_0 C B) (tptp.m1_subset_1 D (tptp.u1_struct_0 C))) (= (tptp.r2_hidden A (tptp.a_3_0_waybel32 B C D)) (exists ((E $$unsorted)) (and (tptp.m1_subset_1 E (tptp.u1_struct_0 C)) (= A (tptp.k3_waybel_0 B C E)) (tptp.r1_orders_2 C D E)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.v16_waybel_0 B) (tptp.v1_lattice3 B) (tptp.v2_lattice3 B) (tptp.v3_lattice3 B) (tptp.l1_orders_2 B) (tptp.v4_waybel11 C) (tptp.m1_yellow_9 C B)) (= (tptp.r2_hidden A (tptp.a_2_1_waybel32 B C)) (exists ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 C))) (and (tptp.m1_subset_1 D _let_1) (= A (tptp.k3_subset_1 _let_1 (tptp.k6_waybel_0 C D))))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.l1_orders_2 B) (not (tptp.v3_struct_0 C)) (tptp.v7_waybel_0 C) (tptp.l1_waybel_0 C B) (tptp.m1_subset_1 D (tptp.u1_struct_0 C))) (= (tptp.r2_hidden A (tptp.a_3_1_waybel32 B C D)) (exists ((E $$unsorted)) (and (tptp.m1_subset_1 E (tptp.u1_struct_0 C)) (= A (tptp.k3_waybel_0 B C E)) (tptp.r1_orders_2 C D E)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.l1_orders_2 B) (not (tptp.v3_struct_0 C)) (tptp.v3_orders_2 C) (tptp.v7_waybel_0 C) (tptp.l1_waybel_0 C B)) (= (tptp.r2_hidden A (tptp.a_2_2_waybel32 B C)) (exists ((D $$unsorted)) (and (tptp.m1_subset_1 D (tptp.u1_struct_0 C)) (= A (tptp.k2_yellow_0 B (tptp.a_3_2_waybel32 B C D)))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.l1_orders_2 B) (not (tptp.v3_struct_0 C)) (tptp.v3_orders_2 C) (tptp.v7_waybel_0 C) (tptp.l1_waybel_0 C B) (tptp.m1_subset_1 D (tptp.u1_struct_0 C))) (= (tptp.r2_hidden A (tptp.a_3_2_waybel32 B C D)) (exists ((E $$unsorted)) (and (tptp.m1_subset_1 E (tptp.u1_struct_0 C)) (= A (tptp.k3_waybel_0 B C E)) (tptp.r1_orders_2 C D E)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k1_multop_1 A B C D))) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_funcop_1 A)) (and (tptp.v1_relat_1 _let_1) (tptp.v1_funct_1 _let_1))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k1_yellow18 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_altcat_1 A) (tptp.v11_altcat_1 A) (tptp.l2_altcat_1 A)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v2_altcat_1 _let_1) (tptp.v6_altcat_1 _let_1) (tptp.v11_altcat_1 _let_1))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k1_yellow18 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_altcat_1 A) (tptp.v12_altcat_1 A) (tptp.l2_altcat_1 A)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v2_altcat_1 _let_1) (tptp.v6_altcat_1 _let_1) (tptp.v12_altcat_1 _let_1) (tptp.v1_altcat_2 _let_1))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k1_yellow18 A))) (let ((_let_2 (tptp.k2_yellow18 A _let_1))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_altcat_1 A) (tptp.v11_altcat_1 A) (tptp.v12_altcat_1 A) (tptp.l2_altcat_1 A)) (and (tptp.v6_functor0 _let_2 A _let_1) (tptp.v8_functor0 _let_2 A _let_1) (tptp.v9_functor0 _let_2 A _let_1) (tptp.v11_functor0 _let_2 A _let_1) (tptp.v12_functor0 _let_2 A _let_1) (tptp.v14_functor0 _let_2 A _let_1) (tptp.v16_functor0 _let_2 A _let_1) (tptp.v21_functor0 _let_2 A _let_1)))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k1_yellow18 A))) (let ((_let_2 (tptp.k2_yellow18 _let_1 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_altcat_1 A) (tptp.v11_altcat_1 A) (tptp.v12_altcat_1 A) (tptp.l2_altcat_1 A)) (and (tptp.v6_functor0 _let_2 _let_1 A) (tptp.v8_functor0 _let_2 _let_1 A) (tptp.v9_functor0 _let_2 _let_1 A) (tptp.v11_functor0 _let_2 _let_1 A) (tptp.v12_functor0 _let_2 _let_1 A) (tptp.v14_functor0 _let_2 _let_1 A) (tptp.v16_functor0 _let_2 _let_1 A) (tptp.v21_functor0 _let_2 _let_1 A)))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.v12_altcat_1 A))) (let ((_let_2 (tptp.v11_altcat_1 A))) (let ((_let_3 (tptp.v2_altcat_1 A))) (let ((_let_4 (not (tptp.v3_struct_0 A)))) (=> (tptp.l2_altcat_1 A) (=> (and _let_4 _let_3 (tptp.v8_altcat_1 A) _let_2 _let_1) (and _let_4 _let_3 _let_2 _let_1 (tptp.v1_altcat_2 A) (tptp.v2_yellow18 A))))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k7_altcat_1 A))) (=> (not (tptp.v1_xboole_0 A)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v2_altcat_1 _let_1) (tptp.v6_altcat_1 _let_1) (tptp.v8_altcat_1 _let_1) (tptp.v9_altcat_1 _let_1) (tptp.v10_altcat_1 _let_1) (tptp.v11_altcat_1 _let_1) (tptp.v12_altcat_1 _let_1) (tptp.v1_altcat_2 _let_1) (tptp.v2_yellow18 _let_1) (tptp.v3_yellow18 _let_1))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.v12_altcat_1 A))) (let ((_let_2 (tptp.v11_altcat_1 A))) (let ((_let_3 (tptp.v2_altcat_1 A))) (let ((_let_4 (not (tptp.v3_struct_0 A)))) (=> (tptp.l2_altcat_1 A) (=> (and _let_4 _let_3 _let_2 _let_1 (tptp.v4_yellow18 A)) (and _let_4 _let_3 (tptp.v9_altcat_1 A) _let_2 _let_1 (tptp.v1_altcat_2 A) (tptp.v2_yellow18 A) (tptp.v3_yellow18 A))))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.v12_altcat_1 A))) (let ((_let_2 (tptp.v11_altcat_1 A))) (let ((_let_3 (tptp.v2_altcat_1 A))) (let ((_let_4 (not (tptp.v3_struct_0 A)))) (=> (tptp.l2_altcat_1 A) (=> (and _let_4 _let_3 (tptp.v9_altcat_1 A) _let_2 _let_1 (tptp.v2_yellow18 A) (tptp.v3_yellow18 A)) (and _let_4 _let_3 _let_2 _let_1 (tptp.v1_altcat_2 A) (tptp.v4_yellow18 A))))))))) (exists ((A $$unsorted)) (and (tptp.l2_altcat_1 A) (not (tptp.v3_struct_0 A)) (tptp.v2_altcat_1 A) (tptp.v6_altcat_1 A) (tptp.v8_altcat_1 A) (tptp.v9_altcat_1 A) (tptp.v10_altcat_1 A) (tptp.v11_altcat_1 A) (tptp.v12_altcat_1 A) (tptp.v1_altcat_2 A) (tptp.v2_yellow18 A) (tptp.v3_yellow18 A) (tptp.v4_yellow18 A))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_altcat_1 A) (tptp.v11_altcat_1 A) (tptp.v12_altcat_1 A) (tptp.v2_yellow18 A) (tptp.l2_altcat_1 A) (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_altcat_1 A B C)) (and (tptp.v1_relat_1 D) (tptp.v1_funct_1 D))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_altcat_1 A) (tptp.v11_altcat_1 A) (tptp.v12_altcat_1 A) (tptp.l2_altcat_1 A) (tptp.m1_subset_1 B (tptp.u1_struct_0 A))) (not (tptp.v1_xboole_0 (tptp.k3_yellow18 (tptp.k4_yellow18 A) B))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k4_yellow18 A))) (let ((_let_2 (tptp.k5_yellow18 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_altcat_1 A) (tptp.v11_altcat_1 A) (tptp.v12_altcat_1 A) (tptp.l2_altcat_1 A)) (and (tptp.v6_functor0 _let_2 A _let_1) (tptp.v8_functor0 _let_2 A _let_1) (tptp.v9_functor0 _let_2 A _let_1) (tptp.v10_functor0 _let_2 A _let_1) (tptp.v12_functor0 _let_2 A _let_1) (tptp.v13_functor0 _let_2 A _let_1) (tptp.v15_functor0 _let_2 A _let_1) (tptp.v21_functor0 _let_2 A _let_1)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_altcat_1 A) (tptp.v11_altcat_1 A) (tptp.v12_altcat_1 A) (tptp.l2_altcat_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_altcat_1 B) (tptp.v11_altcat_1 B) (tptp.v12_altcat_1 B) (tptp.l2_altcat_1 B)) (forall ((C $$unsorted)) (=> (and (tptp.v15_functor0 C A B) (tptp.m2_functor0 C A B)) (forall ((D $$unsorted)) (=> (and (tptp.v15_functor0 D A B) (tptp.m2_functor0 D A B)) (=> (and (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.u1_struct_0 A)) (= (tptp.k3_functor0 A B C E) (tptp.k3_functor0 A B D E)))) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.u1_struct_0 A)) (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F (tptp.u1_struct_0 A)) (=> (not (= (tptp.k1_altcat_1 A E F) tptp.k1_xboole_0)) (forall ((G $$unsorted)) (=> (tptp.m1_subset_1 G (tptp.k1_altcat_1 A E F)) (= (tptp.k6_functor0 A B C E F G) (tptp.k6_functor0 A B D E F G)))))))))) (= (tptp.g2_functor0 A B (tptp.u1_functor0 A B C) (tptp.u2_functor0 A B C)) (tptp.g2_functor0 A B (tptp.u1_functor0 A B D) (tptp.u2_functor0 A B D)))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_altcat_1 A) (tptp.v11_altcat_1 A) (tptp.v12_altcat_1 A) (tptp.l2_altcat_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_altcat_1 B) (tptp.v11_altcat_1 B) (tptp.v12_altcat_1 B) (tptp.l2_altcat_1 B)) (forall ((C $$unsorted)) (=> (and (tptp.v16_functor0 C A B) (tptp.m2_functor0 C A B)) (forall ((D $$unsorted)) (=> (and (tptp.v16_functor0 D A B) (tptp.m2_functor0 D A B)) (=> (and (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.u1_struct_0 A)) (= (tptp.k3_functor0 A B C E) (tptp.k3_functor0 A B D E)))) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.u1_struct_0 A)) (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F (tptp.u1_struct_0 A)) (=> (not (= (tptp.k1_altcat_1 A E F) tptp.k1_xboole_0)) (forall ((G $$unsorted)) (=> (tptp.m1_subset_1 G (tptp.k1_altcat_1 A E F)) (= (tptp.k8_functor0 A B C E F G) (tptp.k8_functor0 A B D E F G)))))))))) (= (tptp.g2_functor0 A B (tptp.u1_functor0 A B C) (tptp.u2_functor0 A B C)) (tptp.g2_functor0 A B (tptp.u1_functor0 A B D) (tptp.u2_functor0 A B 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)) (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.v2_funct_1 D) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E A) (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F A) (forall ((G $$unsorted)) (=> (tptp.m1_subset_1 G B) (forall ((H $$unsorted)) (=> (tptp.m1_subset_1 H B) (=> (= (tptp.k2_binop_1 A B C D E G) (tptp.k2_binop_1 A B C D F H)) (and (= E F) (= G H))))))))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_altcat_1 A) (tptp.v11_altcat_1 A) (tptp.v12_altcat_1 A) (tptp.l2_altcat_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_altcat_1 B) (tptp.v11_altcat_1 B) (tptp.v12_altcat_1 B) (tptp.l2_altcat_1 B)) (= (tptp.r1_yellow18 A B) (exists ((C $$unsorted)) (and (tptp.v15_functor0 C A B) (tptp.m2_functor0 C A B) (exists ((D $$unsorted)) (and (tptp.v15_functor0 D B A) (tptp.m2_functor0 D B A) (tptp.r1_functor3 A A (tptp.k1_functor3 A B A C D) (tptp.k12_functor0 A)) (tptp.r1_functor3 B B (tptp.k1_functor3 B A B D C) (tptp.k12_functor0 B))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v1_altcat_2 A) (tptp.l1_altcat_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v1_altcat_2 B) (tptp.l1_altcat_1 B)) (forall ((C $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.v1_altcat_2 C) (tptp.l1_altcat_1 C)) (forall ((D $$unsorted)) (=> (and (tptp.v8_functor0 D A B) (tptp.l2_functor0 D A B)) (forall ((E $$unsorted)) (=> (and (tptp.v8_functor0 E A B) (tptp.l2_functor0 E A B)) (forall ((F $$unsorted)) (=> (tptp.l2_functor0 F B C) (forall ((G $$unsorted)) (=> (tptp.l2_functor0 G B C) (=> (and (= (tptp.g2_functor0 A B (tptp.u1_functor0 A B D) (tptp.u2_functor0 A B D)) (tptp.g2_functor0 A B (tptp.u1_functor0 A B E) (tptp.u2_functor0 A B E))) (= (tptp.g2_functor0 B C (tptp.u1_functor0 B C F) (tptp.u2_functor0 B C F)) (tptp.g2_functor0 B C (tptp.u1_functor0 B C G) (tptp.u2_functor0 B C G)))) (= (tptp.k13_functor0 A B C D F) (tptp.k13_functor0 A B C E G))))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_altcat_1 A) (tptp.v11_altcat_1 A) (tptp.v12_altcat_1 A) (tptp.l2_altcat_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_altcat_1 B) (tptp.v11_altcat_1 B) (tptp.v12_altcat_1 B) (tptp.l2_altcat_1 B)) (forall ((C $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.v2_altcat_1 C) (tptp.v11_altcat_1 C) (tptp.v12_altcat_1 C) (tptp.l2_altcat_1 C)) (=> (and (tptp.r1_yellow18 A B) (tptp.r1_yellow18 B C)) (tptp.r1_yellow18 A C)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_altcat_1 A) (tptp.v11_altcat_1 A) (tptp.v12_altcat_1 A) (tptp.l2_altcat_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_altcat_1 B) (tptp.v11_altcat_1 B) (tptp.v12_altcat_1 B) (tptp.l2_altcat_1 B)) (=> (tptp.r1_functor0 A B) (tptp.r1_yellow18 A B)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l2_altcat_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v3_struct_0 B)) (tptp.l2_altcat_1 B)) (= (tptp.r2_yellow18 A B) (and (= (tptp.u1_struct_0 B) _let_1) (= (tptp.u1_altcat_1 B) (tptp.k1_altcat_2 _let_1 (tptp.u1_altcat_1 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 B)) (forall ((G $$unsorted)) (=> (tptp.m1_subset_1 G (tptp.u1_struct_0 B)) (forall ((H $$unsorted)) (let ((_let_1 (tptp.u1_altcat_1 A))) (let ((_let_2 (tptp.u1_struct_0 B))) (=> (tptp.m1_subset_1 H _let_2) (=> (and (= F C) (= G D) (= H E)) (= (tptp.k4_altcat_1 _let_2 (tptp.u1_altcat_1 B) (tptp.u2_altcat_1 B) F G H) (tptp.k1_functor0 (tptp.k1_binop_1 _let_1 D C) (tptp.k1_binop_1 _let_1 E D) (tptp.k1_binop_1 _let_1 E C) (tptp.k4_altcat_1 (tptp.u1_struct_0 A) _let_1 (tptp.u2_altcat_1 A) E D C))))))))))))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l2_altcat_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.l2_altcat_1 B)) (=> (tptp.r2_yellow18 A B) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (tptp.m1_subset_1 C (tptp.u1_struct_0 B))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l2_altcat_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.l2_altcat_1 B)) (=> (tptp.r2_yellow18 A B) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.u1_struct_0 B)) (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F (tptp.u1_struct_0 B)) (=> (and (= E C) (= F D)) (= (tptp.k1_altcat_1 A C D) (tptp.k1_altcat_1 B F E)))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l2_altcat_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.l2_altcat_1 B)) (=> (tptp.r2_yellow18 A B) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.u1_struct_0 B)) (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F (tptp.u1_struct_0 B)) (=> (and (= E C) (= F D)) (forall ((G $$unsorted)) (=> (tptp.m1_subset_1 G (tptp.k1_altcat_1 A C D)) (tptp.m1_subset_1 G (tptp.k1_altcat_1 B F E)))))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_altcat_1 A) (tptp.l2_altcat_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_altcat_1 B) (tptp.l2_altcat_1 B)) (= (tptp.r2_yellow18 A B) (and (= (tptp.u1_struct_0 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 $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.u1_struct_0 A)) (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F (tptp.u1_struct_0 B)) (forall ((G $$unsorted)) (=> (tptp.m1_subset_1 G (tptp.u1_struct_0 B)) (forall ((H $$unsorted)) (let ((_let_1 (tptp.k1_altcat_1 A C D))) (=> (tptp.m1_subset_1 H (tptp.u1_struct_0 B)) (=> (and (= F C) (= G D) (= H E)) (and (= _let_1 (tptp.k1_altcat_1 B G F)) (not (and (not (= _let_1 tptp.k1_xboole_0)) (not (= (tptp.k1_altcat_1 A D E) tptp.k1_xboole_0)) (exists ((I $$unsorted)) (and (tptp.m1_subset_1 I (tptp.k1_altcat_1 A C D)) (exists ((J $$unsorted)) (and (tptp.m1_subset_1 J (tptp.k1_altcat_1 A D E)) (exists ((K $$unsorted)) (and (tptp.m1_subset_1 K (tptp.k1_altcat_1 B G F)) (exists ((L $$unsorted)) (and (tptp.m1_subset_1 L (tptp.k1_altcat_1 B H G)) (= K I) (= L J) (not (= (tptp.k5_altcat_1 B H G F L K) (tptp.k5_altcat_1 A C D E I J)))))))))))))))))))))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_altcat_1 A) (tptp.v11_altcat_1 A) (tptp.v12_altcat_1 A) (tptp.l2_altcat_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_altcat_1 B) (tptp.v11_altcat_1 B) (tptp.v12_altcat_1 B) (tptp.l2_altcat_1 B)) (=> (tptp.r2_yellow18 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 B)) (=> (= C D) (= (tptp.k8_altcat_1 A C) (tptp.k8_altcat_1 B D)))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_altcat_1 A) (tptp.l2_altcat_1 A)) (exists ((B $$unsorted)) (and (not (tptp.v3_struct_0 B)) (tptp.v2_altcat_1 B) (tptp.v6_altcat_1 B) (tptp.l2_altcat_1 B) (tptp.r2_yellow18 A B))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_altcat_1 A) (tptp.l2_altcat_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_altcat_1 B) (tptp.l2_altcat_1 B)) (=> (and (tptp.r2_yellow18 A B) (tptp.v11_altcat_1 A)) (tptp.v11_altcat_1 B)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_altcat_1 A) (tptp.l2_altcat_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_altcat_1 B) (tptp.l2_altcat_1 B)) (=> (and (tptp.r2_yellow18 A B) (tptp.v12_altcat_1 A)) (tptp.v12_altcat_1 B)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l2_altcat_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.l2_altcat_1 B)) (forall ((C $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.l2_altcat_1 C)) (=> (tptp.r2_yellow18 A B) (= (tptp.r2_yellow18 A C) (= (tptp.g2_altcat_1 (tptp.u1_struct_0 B) (tptp.u1_altcat_1 B) (tptp.u2_altcat_1 B)) (tptp.g2_altcat_1 (tptp.u1_struct_0 C) (tptp.u1_altcat_1 C) (tptp.u2_altcat_1 C))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_altcat_1 A) (tptp.l2_altcat_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_altcat_1 B) (tptp.v6_altcat_1 B) (tptp.l2_altcat_1 B)) (= (= B (tptp.k1_yellow18 A)) (tptp.r2_yellow18 A B)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_altcat_1 A) (tptp.v11_altcat_1 A) (tptp.v12_altcat_1 A) (tptp.l2_altcat_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_altcat_1 B) (tptp.v11_altcat_1 B) (tptp.v12_altcat_1 B) (tptp.l2_altcat_1 B)) (=> (tptp.r2_yellow18 A B) (forall ((C $$unsorted)) (=> (and (tptp.v9_functor0 C A B) (tptp.v16_functor0 C A B) (tptp.m2_functor0 C A B)) (= (= C (tptp.k2_yellow18 A B)) (and (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (= (tptp.k3_functor0 A B C D) D))) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.u1_struct_0 A)) (=> (not (= (tptp.k1_altcat_1 A D E) tptp.k1_xboole_0)) (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F (tptp.k1_altcat_1 A D E)) (= (tptp.k8_functor0 A B C D E F) F))))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_altcat_1 A) (tptp.v11_altcat_1 A) (tptp.v12_altcat_1 A) (tptp.l2_altcat_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_altcat_1 B) (tptp.v11_altcat_1 B) (tptp.v12_altcat_1 B) (tptp.l2_altcat_1 B)) (=> (tptp.r2_yellow18 A B) (= (tptp.k2_functor3 B A B (tptp.k2_yellow18 B A) (tptp.k2_yellow18 A B)) (tptp.k12_functor0 B))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_altcat_1 A) (tptp.v11_altcat_1 A) (tptp.v12_altcat_1 A) (tptp.l2_altcat_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_altcat_1 B) (tptp.v11_altcat_1 B) (tptp.v12_altcat_1 B) (tptp.l2_altcat_1 B)) (=> (tptp.r2_yellow18 A B) (tptp.v21_functor0 (tptp.k2_yellow18 A B) A B)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_altcat_1 A) (tptp.v11_altcat_1 A) (tptp.v12_altcat_1 A) (tptp.l2_altcat_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_altcat_1 B) (tptp.v11_altcat_1 B) (tptp.v12_altcat_1 B) (tptp.l2_altcat_1 B)) (=> (tptp.r2_yellow18 A B) (tptp.r2_functor0 A B)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_altcat_1 A) (tptp.v11_altcat_1 A) (tptp.v12_altcat_1 A) (tptp.l2_altcat_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_altcat_1 B) (tptp.v11_altcat_1 B) (tptp.v12_altcat_1 B) (tptp.l2_altcat_1 B)) (forall ((C $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.v2_altcat_1 C) (tptp.v11_altcat_1 C) (tptp.v12_altcat_1 C) (tptp.l2_altcat_1 C)) (=> (tptp.r2_yellow18 A B) (= (tptp.r1_functor0 A C) (tptp.r2_functor0 B C))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_altcat_1 A) (tptp.v11_altcat_1 A) (tptp.v12_altcat_1 A) (tptp.l2_altcat_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_altcat_1 B) (tptp.v11_altcat_1 B) (tptp.v12_altcat_1 B) (tptp.l2_altcat_1 B)) (forall ((C $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.v2_altcat_1 C) (tptp.v11_altcat_1 C) (tptp.v12_altcat_1 C) (tptp.l2_altcat_1 C)) (forall ((D $$unsorted)) (=> (and (not (tptp.v3_struct_0 D)) (tptp.v2_altcat_1 D) (tptp.v11_altcat_1 D) (tptp.v12_altcat_1 D) (tptp.l2_altcat_1 D)) (=> (and (tptp.r2_yellow18 A B) (tptp.r2_yellow18 C D) (tptp.r1_functor0 A C)) (tptp.r1_functor0 B D)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_altcat_1 A) (tptp.v11_altcat_1 A) (tptp.v12_altcat_1 A) (tptp.l2_altcat_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_altcat_1 B) (tptp.v11_altcat_1 B) (tptp.v12_altcat_1 B) (tptp.l2_altcat_1 B)) (forall ((C $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.v2_altcat_1 C) (tptp.v11_altcat_1 C) (tptp.v12_altcat_1 C) (tptp.l2_altcat_1 C)) (forall ((D $$unsorted)) (=> (and (not (tptp.v3_struct_0 D)) (tptp.v2_altcat_1 D) (tptp.v11_altcat_1 D) (tptp.v12_altcat_1 D) (tptp.l2_altcat_1 D)) (=> (and (tptp.r2_yellow18 A B) (tptp.r2_yellow18 C D) (tptp.r2_functor0 A C)) (tptp.r2_functor0 B D)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_altcat_1 A) (tptp.v11_altcat_1 A) (tptp.v12_altcat_1 A) (tptp.l2_altcat_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_altcat_1 B) (tptp.v11_altcat_1 B) (tptp.v12_altcat_1 B) (tptp.l2_altcat_1 B)) (=> (tptp.r2_yellow18 A B) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (not (and (not (= (tptp.k1_altcat_1 A C D) tptp.k1_xboole_0)) (not (= (tptp.k1_altcat_1 A D C) tptp.k1_xboole_0)) (exists ((E $$unsorted)) (and (tptp.m1_subset_1 E (tptp.u1_struct_0 B)) (exists ((F $$unsorted)) (and (tptp.m1_subset_1 F (tptp.u1_struct_0 B)) (= E C) (= F D) (exists ((G $$unsorted)) (and (tptp.m1_subset_1 G (tptp.k1_altcat_1 A C D)) (exists ((H $$unsorted)) (and (tptp.m1_subset_1 H (tptp.k1_altcat_1 B F E)) (= H G) (not (= (tptp.v1_altcat_3 G A C D) (tptp.v2_altcat_3 H B F E)))))))))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_altcat_1 A) (tptp.v11_altcat_1 A) (tptp.v12_altcat_1 A) (tptp.l2_altcat_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_altcat_1 B) (tptp.v11_altcat_1 B) (tptp.v12_altcat_1 B) (tptp.l2_altcat_1 B)) (=> (tptp.r2_yellow18 A B) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (not (and (not (= (tptp.k1_altcat_1 A C D) tptp.k1_xboole_0)) (not (= (tptp.k1_altcat_1 A D C) tptp.k1_xboole_0)) (exists ((E $$unsorted)) (and (tptp.m1_subset_1 E (tptp.u1_struct_0 B)) (exists ((F $$unsorted)) (and (tptp.m1_subset_1 F (tptp.u1_struct_0 B)) (= E C) (= F D) (exists ((G $$unsorted)) (and (tptp.m1_subset_1 G (tptp.k1_altcat_1 A C D)) (exists ((H $$unsorted)) (and (tptp.m1_subset_1 H (tptp.k1_altcat_1 B F E)) (= H G) (not (= (tptp.v2_altcat_3 G A C D) (tptp.v1_altcat_3 H B F E)))))))))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_altcat_1 A) (tptp.v11_altcat_1 A) (tptp.v12_altcat_1 A) (tptp.l2_altcat_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_altcat_1 B) (tptp.v11_altcat_1 B) (tptp.v12_altcat_1 B) (tptp.l2_altcat_1 B)) (=> (tptp.r2_yellow18 A B) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (not (and (not (= (tptp.k1_altcat_1 A C D) tptp.k1_xboole_0)) (not (= (tptp.k1_altcat_1 A D C) tptp.k1_xboole_0)) (exists ((E $$unsorted)) (and (tptp.m1_subset_1 E (tptp.u1_struct_0 B)) (exists ((F $$unsorted)) (and (tptp.m1_subset_1 F (tptp.u1_struct_0 B)) (= E C) (= F D) (exists ((G $$unsorted)) (and (tptp.m1_subset_1 G (tptp.k1_altcat_1 A C D)) (exists ((H $$unsorted)) (and (tptp.m1_subset_1 H (tptp.k1_altcat_1 B F E)) (= H G) (tptp.v1_altcat_3 G A C D) (tptp.v2_altcat_3 G A C D) (not (= (tptp.k1_altcat_3 B F E H) (tptp.k1_altcat_3 A C D G)))))))))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_altcat_1 A) (tptp.v11_altcat_1 A) (tptp.v12_altcat_1 A) (tptp.l2_altcat_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_altcat_1 B) (tptp.v11_altcat_1 B) (tptp.v12_altcat_1 B) (tptp.l2_altcat_1 B)) (=> (tptp.r2_yellow18 A B) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (not (and (not (= (tptp.k1_altcat_1 A C D) tptp.k1_xboole_0)) (not (= (tptp.k1_altcat_1 A D C) tptp.k1_xboole_0)) (exists ((E $$unsorted)) (and (tptp.m1_subset_1 E (tptp.u1_struct_0 B)) (exists ((F $$unsorted)) (and (tptp.m1_subset_1 F (tptp.u1_struct_0 B)) (= E C) (= F D) (exists ((G $$unsorted)) (and (tptp.m1_subset_1 G (tptp.k1_altcat_1 A C D)) (exists ((H $$unsorted)) (and (tptp.m1_subset_1 H (tptp.k1_altcat_1 B F E)) (= H G) (not (= (tptp.v3_altcat_3 G A C D) (tptp.v3_altcat_3 H B F E)))))))))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_altcat_1 A) (tptp.v11_altcat_1 A) (tptp.v12_altcat_1 A) (tptp.l2_altcat_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_altcat_1 B) (tptp.v11_altcat_1 B) (tptp.v12_altcat_1 B) (tptp.l2_altcat_1 B)) (forall ((C $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.v2_altcat_1 C) (tptp.v11_altcat_1 C) (tptp.v12_altcat_1 C) (tptp.l2_altcat_1 C)) (forall ((D $$unsorted)) (=> (and (not (tptp.v3_struct_0 D)) (tptp.v2_altcat_1 D) (tptp.v11_altcat_1 D) (tptp.v12_altcat_1 D) (tptp.l2_altcat_1 D)) (=> (and (tptp.r2_yellow18 A B) (tptp.r2_yellow18 C D)) (forall ((E $$unsorted)) (=> (and (tptp.v15_functor0 E B C) (tptp.m2_functor0 E B C)) (forall ((F $$unsorted)) (let ((_let_1 (tptp.k2_yellow18 C D))) (let ((_let_2 (tptp.k2_yellow18 A B))) (=> (and (tptp.v15_functor0 F B C) (tptp.m2_functor0 F B C)) (=> (tptp.r1_functor3 B C E F) (tptp.r1_functor3 A D (tptp.k2_functor3 A B D _let_2 (tptp.k3_functor3 B C D F _let_1)) (tptp.k2_functor3 A B D _let_2 (tptp.k3_functor3 B C D E _let_1))))))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_altcat_1 A) (tptp.v11_altcat_1 A) (tptp.v12_altcat_1 A) (tptp.l2_altcat_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_altcat_1 B) (tptp.v11_altcat_1 B) (tptp.v12_altcat_1 B) (tptp.l2_altcat_1 B)) (forall ((C $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.v2_altcat_1 C) (tptp.v11_altcat_1 C) (tptp.v12_altcat_1 C) (tptp.l2_altcat_1 C)) (forall ((D $$unsorted)) (=> (and (not (tptp.v3_struct_0 D)) (tptp.v2_altcat_1 D) (tptp.v11_altcat_1 D) (tptp.v12_altcat_1 D) (tptp.l2_altcat_1 D)) (=> (and (tptp.r2_yellow18 A B) (tptp.r2_yellow18 C D) (tptp.r1_yellow18 A C)) (tptp.r1_yellow18 B D)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_altcat_1 A) (tptp.v11_altcat_1 A) (tptp.v12_altcat_1 A) (tptp.l2_altcat_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_altcat_1 B) (tptp.v11_altcat_1 B) (tptp.v12_altcat_1 B) (tptp.l2_altcat_1 B)) (= (tptp.r3_yellow18 A B) (tptp.r1_yellow18 A (tptp.k1_yellow18 B))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_altcat_1 A) (tptp.v11_altcat_1 A) (tptp.v12_altcat_1 A) (tptp.l2_altcat_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_altcat_1 B) (tptp.v11_altcat_1 B) (tptp.v12_altcat_1 B) (tptp.l2_altcat_1 B)) (=> (tptp.r2_functor0 A B) (tptp.r3_yellow18 A B)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_altcat_1 A) (tptp.v11_altcat_1 A) (tptp.v12_altcat_1 A) (tptp.l2_altcat_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_altcat_1 B) (tptp.v11_altcat_1 B) (tptp.v12_altcat_1 B) (tptp.l2_altcat_1 B)) (forall ((C $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.v2_altcat_1 C) (tptp.v11_altcat_1 C) (tptp.v12_altcat_1 C) (tptp.l2_altcat_1 C)) (=> (tptp.r2_yellow18 A B) (= (tptp.r1_yellow18 A C) (tptp.r3_yellow18 B C))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_altcat_1 A) (tptp.v11_altcat_1 A) (tptp.v12_altcat_1 A) (tptp.l2_altcat_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_altcat_1 B) (tptp.v11_altcat_1 B) (tptp.v12_altcat_1 B) (tptp.l2_altcat_1 B)) (forall ((C $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.v2_altcat_1 C) (tptp.v11_altcat_1 C) (tptp.v12_altcat_1 C) (tptp.l2_altcat_1 C)) (=> (and (tptp.r3_yellow18 A B) (tptp.r1_yellow18 B C)) (tptp.r3_yellow18 A C)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_altcat_1 A) (tptp.v11_altcat_1 A) (tptp.v12_altcat_1 A) (tptp.l2_altcat_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_altcat_1 B) (tptp.v11_altcat_1 B) (tptp.v12_altcat_1 B) (tptp.l2_altcat_1 B)) (forall ((C $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.v2_altcat_1 C) (tptp.v11_altcat_1 C) (tptp.v12_altcat_1 C) (tptp.l2_altcat_1 C)) (=> (and (tptp.r3_yellow18 A B) (tptp.r3_yellow18 B C)) (tptp.r1_yellow18 A C)))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.r2_hidden C (tptp.k1_funct_2 A B)) (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C) (= (tptp.k1_funct_5 C) A) (tptp.r1_tarski (tptp.k2_funct_5 C) B)))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_altcat_1 A) (tptp.v11_altcat_1 A) (tptp.v12_altcat_1 A) (tptp.l2_altcat_1 A)) (= (tptp.v2_yellow18 A) (exists ((B $$unsorted)) (and (tptp.m1_pboole B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (tptp.r1_tarski (tptp.k1_altcat_1 A C D) (tptp.k1_funct_2 (tptp.k1_funct_1 B C) (tptp.k1_funct_1 B D)))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_altcat_1 A) (tptp.v11_altcat_1 A) (tptp.v12_altcat_1 A) (tptp.l2_altcat_1 A)) (forall ((B $$unsorted) (C $$unsorted)) (let ((_let_1 (= C (tptp.k3_yellow18 A B)))) (let ((_let_2 (tptp.m1_subset_1 B (tptp.u1_struct_0 A)))) (and (=> _let_2 (= _let_1 (exists ((D $$unsorted)) (and (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (= D B) (= C (tptp.k1_funct_5 (tptp.k8_altcat_1 A D))))))) (=> (not _let_2) (= _let_1 (= C tptp.k1_xboole_0))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_altcat_1 A) (tptp.v11_altcat_1 A) (tptp.v12_altcat_1 A) (tptp.l2_altcat_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (= (tptp.k3_yellow18 A B) (tptp.k1_funct_5 (tptp.k8_altcat_1 A B))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k7_altcat_1 A))) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 _let_1)) (= (tptp.k8_altcat_1 _let_1 B) (tptp.k6_partfun1 B))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k7_altcat_1 A))) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 _let_1)) (= (tptp.k3_yellow18 _let_1 B) B)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_altcat_1 A) (tptp.v11_altcat_1 A) (tptp.v12_altcat_1 A) (tptp.l2_altcat_1 A)) (= (tptp.v3_yellow18 A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (= (tptp.k8_altcat_1 A B) (tptp.k6_partfun1 (tptp.k3_yellow18 A B)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_altcat_1 A) (tptp.v11_altcat_1 A) (tptp.v12_altcat_1 A) (tptp.l2_altcat_1 A)) (= (tptp.v4_yellow18 A) (and (tptp.v2_yellow18 A) (tptp.v9_altcat_1 A) (tptp.v3_yellow18 A))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_altcat_1 A) (tptp.v11_altcat_1 A) (tptp.v12_altcat_1 A) (tptp.l2_altcat_1 A)) (= (tptp.v2_yellow18 A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (tptp.r1_tarski (tptp.k1_altcat_1 A B C) (tptp.k1_funct_2 (tptp.k3_yellow18 A B) (tptp.k3_yellow18 A C)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_altcat_1 A) (tptp.v11_altcat_1 A) (tptp.v12_altcat_1 A) (tptp.v2_yellow18 A) (tptp.l2_altcat_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)) (=> (not (= (tptp.k1_altcat_1 A B C) tptp.k1_xboole_0)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k3_yellow18 A C))) (let ((_let_2 (tptp.k3_yellow18 A B))) (=> (tptp.m1_subset_1 D (tptp.k1_altcat_1 A B C)) (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D _let_2 _let_1) (tptp.m2_relset_1 D _let_2 _let_1))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_altcat_1 A) (tptp.v11_altcat_1 A) (tptp.v12_altcat_1 A) (tptp.v2_yellow18 A) (tptp.l2_altcat_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)) (=> (not (= (tptp.k1_altcat_1 A B C) tptp.k1_xboole_0)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_altcat_1 A B C)) (and (= (tptp.k1_relat_1 D) (tptp.k3_yellow18 A B)) (tptp.r1_tarski (tptp.k2_relat_1 D) (tptp.k3_yellow18 A C)))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_altcat_1 A) (tptp.v9_altcat_1 A) (tptp.v11_altcat_1 A) (tptp.v12_altcat_1 A) (tptp.v2_yellow18 A) (tptp.l2_altcat_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (= (tptp.k3_yellow18 A B) (tptp.k1_relat_1 (tptp.k8_altcat_1 A B))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_altcat_1 A) (tptp.v9_altcat_1 A) (tptp.v11_altcat_1 A) (tptp.v12_altcat_1 A) (tptp.v2_yellow18 A) (tptp.l2_altcat_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 $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (not (and (not (= (tptp.k1_altcat_1 A B C) tptp.k1_xboole_0)) (not (= (tptp.k1_altcat_1 A C D) tptp.k1_xboole_0)) (not (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.k1_altcat_1 A B C)) (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F (tptp.k1_altcat_1 A C D)) (= (tptp.k5_altcat_1 A B C D E F) (tptp.k5_relat_1 E F))))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_altcat_1 A) (tptp.v9_altcat_1 A) (tptp.v11_altcat_1 A) (tptp.v12_altcat_1 A) (tptp.v2_yellow18 A) (tptp.l2_altcat_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k6_partfun1 (tptp.k3_yellow18 A B)))) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (=> (tptp.r2_hidden _let_1 (tptp.k1_altcat_1 A B B)) (= (tptp.k8_altcat_1 A B) _let_1))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_altcat_1 A) (tptp.v11_altcat_1 A) (tptp.v12_altcat_1 A) (tptp.v4_yellow18 A) (tptp.l2_altcat_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)) (not (and (not (= (tptp.k1_altcat_1 A B C) tptp.k1_xboole_0)) (not (= (tptp.k1_altcat_1 A C B) tptp.k1_xboole_0)) (exists ((D $$unsorted)) (and (tptp.m1_subset_1 D (tptp.k1_altcat_1 A B C)) (tptp.v1_altcat_3 D A B C) (not (= (tptp.k2_relat_1 D) (tptp.k3_yellow18 A C))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_altcat_1 A) (tptp.v11_altcat_1 A) (tptp.v12_altcat_1 A) (tptp.v4_yellow18 A) (tptp.l2_altcat_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)) (not (and (not (= (tptp.k1_altcat_1 A B C) tptp.k1_xboole_0)) (not (= (tptp.k1_altcat_1 A C B) tptp.k1_xboole_0)) (exists ((D $$unsorted)) (and (tptp.m1_subset_1 D (tptp.k1_altcat_1 A B C)) (tptp.v2_altcat_3 D A B C) (not (tptp.v2_funct_1 D)))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_altcat_1 A) (tptp.v11_altcat_1 A) (tptp.v12_altcat_1 A) (tptp.v4_yellow18 A) (tptp.l2_altcat_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)) (not (and (not (= (tptp.k1_altcat_1 A B C) tptp.k1_xboole_0)) (not (= (tptp.k1_altcat_1 A C B) tptp.k1_xboole_0)) (exists ((D $$unsorted)) (and (tptp.m1_subset_1 D (tptp.k1_altcat_1 A B C)) (tptp.v3_altcat_3 D A B C) (not (and (tptp.v2_funct_1 D) (= (tptp.k2_relat_1 D) (tptp.k3_yellow18 A C)))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_altcat_1 A) (tptp.v9_altcat_1 A) (tptp.v11_altcat_1 A) (tptp.v12_altcat_1 A) (tptp.v2_yellow18 A) (tptp.l2_altcat_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)) (=> (not (= (tptp.k1_altcat_1 A B C) tptp.k1_xboole_0)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_altcat_1 A B C)) (=> (and (tptp.v2_funct_1 D) (tptp.r2_hidden (tptp.k2_funct_1 D) (tptp.k1_altcat_1 A C B))) (tptp.v3_altcat_3 D A B C))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_altcat_1 A) (tptp.v11_altcat_1 A) (tptp.v12_altcat_1 A) (tptp.v4_yellow18 A) (tptp.l2_altcat_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)) (not (and (not (= (tptp.k1_altcat_1 A B C) tptp.k1_xboole_0)) (not (= (tptp.k1_altcat_1 A C B) tptp.k1_xboole_0)) (exists ((D $$unsorted)) (and (tptp.m1_subset_1 D (tptp.k1_altcat_1 A B C)) (tptp.v3_altcat_3 D A B C) (not (= (tptp.k1_altcat_3 A B C D) (tptp.k2_funct_1 D))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_altcat_1 A) (tptp.v11_altcat_1 A) (tptp.v12_altcat_1 A) (tptp.l2_altcat_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_altcat_1 B) (tptp.v6_altcat_1 B) (tptp.v11_altcat_1 B) (tptp.v12_altcat_1 B) (tptp.v4_yellow18 B) (tptp.l2_altcat_1 B)) (= (= B (tptp.k4_yellow18 A)) (and (= (tptp.u1_struct_0 B) (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 B)) (forall ((D $$unsorted)) (= (tptp.r2_hidden D (tptp.k3_yellow18 B C)) (and (tptp.r2_hidden D (tptp.k3_card_3 (tptp.k2_card_3 (tptp.u1_altcat_1 A)))) (= C (tptp.k20_mcart_1 D))))))) (forall ((C $$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)) (=> (and (tptp.v1_relat_1 E) (tptp.v1_funct_1 E)) (= (tptp.r2_hidden E (tptp.k1_binop_1 (tptp.u1_altcat_1 B) C D)) (and (tptp.r2_hidden E (tptp.k1_funct_2 (tptp.k3_yellow18 B C) (tptp.k3_yellow18 B D))) (exists ((F $$unsorted)) (and (tptp.m1_subset_1 F (tptp.u1_struct_0 A)) (exists ((G $$unsorted)) (and (tptp.m1_subset_1 G (tptp.u1_struct_0 A)) (exists ((H $$unsorted)) (let ((_let_1 (tptp.k1_altcat_1 A F G))) (and (tptp.m1_subset_1 H _let_1) (= F C) (= G D) (not (= _let_1 tptp.k1_xboole_0)) (forall ((I $$unsorted)) (=> (tptp.m1_subset_1 I (tptp.u1_struct_0 A)) (=> (not (= (tptp.k1_altcat_1 A I F) tptp.k1_xboole_0)) (forall ((J $$unsorted)) (=> (tptp.m1_subset_1 J (tptp.k1_altcat_1 A I F)) (= (tptp.k1_funct_1 E (tptp.k4_tarski J (tptp.k4_tarski I F))) (tptp.k4_tarski (tptp.k5_altcat_1 A I F G J H) (tptp.k4_tarski I G))))))))))))))))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_altcat_1 A) (tptp.v11_altcat_1 A) (tptp.v12_altcat_1 A) (tptp.l2_altcat_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (= (tptp.r2_hidden C (tptp.k3_yellow18 (tptp.k4_yellow18 A) B)) (exists ((D $$unsorted)) (and (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (exists ((E $$unsorted)) (let ((_let_1 (tptp.k1_altcat_1 A D B))) (and (tptp.m1_subset_1 E _let_1) (not (= _let_1 tptp.k1_xboole_0)) (= C (tptp.k4_tarski E (tptp.k4_tarski D B)))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_altcat_1 A) (tptp.v11_altcat_1 A) (tptp.v12_altcat_1 A) (tptp.l2_altcat_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (=> (not (= (tptp.k1_altcat_1 A B C) tptp.k1_xboole_0)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_altcat_1 A B C)) (exists ((E $$unsorted)) (let ((_let_1 (tptp.k4_yellow18 A))) (let ((_let_2 (tptp.k3_yellow18 _let_1 C))) (let ((_let_3 (tptp.k3_yellow18 _let_1 B))) (and (tptp.v1_funct_1 E) (tptp.v1_funct_2 E _let_3 _let_2) (tptp.m2_relset_1 E _let_3 _let_2) (tptp.r2_hidden E (tptp.k1_binop_1 (tptp.u1_altcat_1 _let_1) B C)) (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F (tptp.u1_struct_0 A)) (forall ((G $$unsorted)) (let ((_let_1 (tptp.k1_altcat_1 A F B))) (=> (tptp.m1_subset_1 G _let_1) (=> (not (= _let_1 tptp.k1_xboole_0)) (= (tptp.k1_funct_1 E (tptp.k4_tarski G (tptp.k4_tarski F B))) (tptp.k4_tarski (tptp.k5_altcat_1 A F B C G D) (tptp.k4_tarski F C))))))))))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_altcat_1 A) (tptp.v11_altcat_1 A) (tptp.v12_altcat_1 A) (tptp.l2_altcat_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)) (=> (not (= (tptp.k1_altcat_1 A B C) tptp.k1_xboole_0)) (forall ((D $$unsorted)) (=> (and (tptp.v1_relat_1 D) (tptp.v1_funct_1 D)) (forall ((E $$unsorted)) (let ((_let_1 (tptp.k4_tarski (tptp.k8_altcat_1 A B) (tptp.k4_tarski B B)))) (let ((_let_2 (tptp.k1_binop_1 (tptp.u1_altcat_1 (tptp.k4_yellow18 A)) B C))) (=> (and (tptp.v1_relat_1 E) (tptp.v1_funct_1 E)) (=> (and (tptp.r2_hidden D _let_2) (tptp.r2_hidden E _let_2) (= (tptp.k1_funct_1 D _let_1) (tptp.k1_funct_1 E _let_1))) (= D E))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_altcat_1 A) (tptp.v11_altcat_1 A) (tptp.v12_altcat_1 A) (tptp.l2_altcat_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k4_yellow18 A))) (=> (and (tptp.v9_functor0 B A _let_1) (tptp.v15_functor0 B A _let_1) (tptp.m2_functor0 B A _let_1)) (= (= B (tptp.k5_yellow18 A)) (and (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (tptp.k3_functor0 A (tptp.k4_yellow18 A) B C) C))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (=> (not (= (tptp.k1_altcat_1 A C D) tptp.k1_xboole_0)) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.k1_altcat_1 A C D)) (= (tptp.k1_funct_1 (tptp.k6_functor0 A (tptp.k4_yellow18 A) B C D E) (tptp.k4_tarski (tptp.k8_altcat_1 A C) (tptp.k4_tarski C C))) (tptp.k4_tarski E (tptp.k4_tarski C D))))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_altcat_1 A) (tptp.v11_altcat_1 A) (tptp.v12_altcat_1 A) (tptp.l2_altcat_1 A)) (tptp.r1_functor0 A (tptp.k4_yellow18 A)))) (=> (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.f1_s1_yellow18) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.f1_s1_yellow18) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C tptp.f1_s1_yellow18) (forall ((D $$unsorted) (E $$unsorted)) (=> (and (tptp.r2_hidden D (tptp.f2_s1_yellow18 A B)) (tptp.r2_hidden E (tptp.f2_s1_yellow18 B C))) (tptp.r2_hidden (tptp.f3_s1_yellow18 A B C D E) (tptp.f2_s1_yellow18 A C)))))))))) (exists ((A $$unsorted)) (and (not (tptp.v3_struct_0 A)) (tptp.v2_altcat_1 A) (tptp.v6_altcat_1 A) (tptp.l2_altcat_1 A) (= (tptp.u1_struct_0 A) tptp.f1_s1_yellow18) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (tptp.k1_altcat_1 A B C) (tptp.f2_s1_yellow18 B C)))))) (forall ((B $$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)) (not (and (not (= (tptp.k1_altcat_1 A B C) tptp.k1_xboole_0)) (not (= (tptp.k1_altcat_1 A C D) tptp.k1_xboole_0)) (not (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.k1_altcat_1 A B C)) (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F (tptp.k1_altcat_1 A C D)) (= (tptp.k5_altcat_1 A B C D E F) (tptp.f3_s1_yellow18 B C D E F)))))))))))))))))) (=> (and (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A (tptp.u1_struct_0 tptp.f1_s2_yellow18)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 tptp.f1_s2_yellow18)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 tptp.f1_s2_yellow18)) (not (and (not (= (tptp.k1_altcat_1 tptp.f1_s2_yellow18 A B) tptp.k1_xboole_0)) (not (= (tptp.k1_altcat_1 tptp.f1_s2_yellow18 B C) tptp.k1_xboole_0)) (not (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_altcat_1 tptp.f1_s2_yellow18 A B)) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.k1_altcat_1 tptp.f1_s2_yellow18 B C)) (= (tptp.k5_altcat_1 tptp.f1_s2_yellow18 A B C D E) (tptp.f2_s2_yellow18 A B C D E))))))))))))))) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A (tptp.u1_struct_0 tptp.f1_s2_yellow18)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 tptp.f1_s2_yellow18)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 tptp.f1_s2_yellow18)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 tptp.f1_s2_yellow18)) (forall ((E $$unsorted) (F $$unsorted) (G $$unsorted)) (=> (and (tptp.r2_hidden E (tptp.k1_altcat_1 tptp.f1_s2_yellow18 A B)) (tptp.r2_hidden F (tptp.k1_altcat_1 tptp.f1_s2_yellow18 B C)) (tptp.r2_hidden G (tptp.k1_altcat_1 tptp.f1_s2_yellow18 C D))) (= (tptp.f2_s2_yellow18 A C D (tptp.f2_s2_yellow18 A B C E F) G) (tptp.f2_s2_yellow18 A B D E (tptp.f2_s2_yellow18 B C D F G)))))))))))))) (tptp.v11_altcat_1 tptp.f1_s2_yellow18)) (=> (and (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A (tptp.u1_struct_0 tptp.f1_s3_yellow18)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 tptp.f1_s3_yellow18)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 tptp.f1_s3_yellow18)) (not (and (not (= (tptp.k1_altcat_1 tptp.f1_s3_yellow18 A B) tptp.k1_xboole_0)) (not (= (tptp.k1_altcat_1 tptp.f1_s3_yellow18 B C) tptp.k1_xboole_0)) (not (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_altcat_1 tptp.f1_s3_yellow18 A B)) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.k1_altcat_1 tptp.f1_s3_yellow18 B C)) (= (tptp.k5_altcat_1 tptp.f1_s3_yellow18 A B C D E) (tptp.f2_s3_yellow18 A B C D E))))))))))))))) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A (tptp.u1_struct_0 tptp.f1_s3_yellow18)) (exists ((B $$unsorted)) (and (tptp.r2_hidden B (tptp.k1_altcat_1 tptp.f1_s3_yellow18 A A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 tptp.f1_s3_yellow18)) (forall ((D $$unsorted)) (=> (tptp.r2_hidden D (tptp.k1_altcat_1 tptp.f1_s3_yellow18 A C)) (= (tptp.f2_s3_yellow18 A A C B D) D))))))))) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A (tptp.u1_struct_0 tptp.f1_s3_yellow18)) (exists ((B $$unsorted)) (and (tptp.r2_hidden B (tptp.k1_altcat_1 tptp.f1_s3_yellow18 A A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 tptp.f1_s3_yellow18)) (forall ((D $$unsorted)) (=> (tptp.r2_hidden D (tptp.k1_altcat_1 tptp.f1_s3_yellow18 C A)) (= (tptp.f2_s3_yellow18 C A A D B) D)))))))))) (tptp.v12_altcat_1 tptp.f1_s3_yellow18)) (=> (and (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.f1_s4_yellow18) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.f1_s4_yellow18) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C tptp.f1_s4_yellow18) (forall ((D $$unsorted) (E $$unsorted)) (=> (and (tptp.r2_hidden D (tptp.f2_s4_yellow18 A B)) (tptp.r2_hidden E (tptp.f2_s4_yellow18 B C))) (tptp.r2_hidden (tptp.f3_s4_yellow18 A B C D E) (tptp.f2_s4_yellow18 A C)))))))))) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.f1_s4_yellow18) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.f1_s4_yellow18) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C tptp.f1_s4_yellow18) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D tptp.f1_s4_yellow18) (forall ((E $$unsorted) (F $$unsorted) (G $$unsorted)) (=> (and (tptp.r2_hidden E (tptp.f2_s4_yellow18 A B)) (tptp.r2_hidden F (tptp.f2_s4_yellow18 B C)) (tptp.r2_hidden G (tptp.f2_s4_yellow18 C D))) (= (tptp.f3_s4_yellow18 A C D (tptp.f3_s4_yellow18 A B C E F) G) (tptp.f3_s4_yellow18 A B D E (tptp.f3_s4_yellow18 B C D F G))))))))))))) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.f1_s4_yellow18) (exists ((B $$unsorted)) (and (tptp.r2_hidden B (tptp.f2_s4_yellow18 A A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C tptp.f1_s4_yellow18) (forall ((D $$unsorted)) (=> (tptp.r2_hidden D (tptp.f2_s4_yellow18 A C)) (= (tptp.f3_s4_yellow18 A A C B D) D))))))))) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.f1_s4_yellow18) (exists ((B $$unsorted)) (and (tptp.r2_hidden B (tptp.f2_s4_yellow18 A A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C tptp.f1_s4_yellow18) (forall ((D $$unsorted)) (=> (tptp.r2_hidden D (tptp.f2_s4_yellow18 C A)) (= (tptp.f3_s4_yellow18 C A A D B) D)))))))))) (exists ((A $$unsorted)) (and (not (tptp.v3_struct_0 A)) (tptp.v2_altcat_1 A) (tptp.v6_altcat_1 A) (tptp.v11_altcat_1 A) (tptp.v12_altcat_1 A) (tptp.l2_altcat_1 A) (= (tptp.u1_struct_0 A) tptp.f1_s4_yellow18) (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_altcat_1 A B C) (tptp.f2_s4_yellow18 B C)))))) (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 $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (not (and (not (= (tptp.k1_altcat_1 A B C) tptp.k1_xboole_0)) (not (= (tptp.k1_altcat_1 A C D) tptp.k1_xboole_0)) (not (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.k1_altcat_1 A B C)) (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F (tptp.k1_altcat_1 A C D)) (= (tptp.k5_altcat_1 A B C D E F) (tptp.f3_s4_yellow18 B C D E F)))))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_altcat_1 A) (tptp.l2_altcat_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_altcat_1 B) (tptp.l2_altcat_1 B)) (=> (and (= _let_2 tptp.f1_s5_yellow18) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (= (tptp.k1_altcat_1 A C D) (tptp.f2_s5_yellow18 C D)))))) (forall ((C $$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)) (not (and (not (= (tptp.k1_altcat_1 A C D) tptp.k1_xboole_0)) (not (= (tptp.k1_altcat_1 A D E) tptp.k1_xboole_0)) (not (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F (tptp.k1_altcat_1 A C D)) (forall ((G $$unsorted)) (=> (tptp.m1_subset_1 G (tptp.k1_altcat_1 A D E)) (= (tptp.k5_altcat_1 A C D E F G) (tptp.f3_s5_yellow18 C D E F G))))))))))))))) (= _let_1 tptp.f1_s5_yellow18) (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.k1_altcat_1 B C D) (tptp.f2_s5_yellow18 C D)))))) (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)) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.u1_struct_0 B)) (not (and (not (= (tptp.k1_altcat_1 B C D) tptp.k1_xboole_0)) (not (= (tptp.k1_altcat_1 B D E) tptp.k1_xboole_0)) (not (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F (tptp.k1_altcat_1 B C D)) (forall ((G $$unsorted)) (=> (tptp.m1_subset_1 G (tptp.k1_altcat_1 B D E)) (= (tptp.k5_altcat_1 B C D E F G) (tptp.f3_s5_yellow18 C D E F G)))))))))))))))) (= (tptp.g2_altcat_1 _let_2 (tptp.u1_altcat_1 A) (tptp.u2_altcat_1 A)) (tptp.g2_altcat_1 _let_1 (tptp.u1_altcat_1 B) (tptp.u2_altcat_1 B)))))))))) (=> (and (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.f1_s6_yellow18) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.f1_s6_yellow18) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C tptp.f1_s6_yellow18) (forall ((D $$unsorted) (E $$unsorted)) (let ((_let_1 (tptp.f3_s6_yellow18 A B C D E))) (=> (and (tptp.r2_hidden D (tptp.f2_s6_yellow18 A B)) (tptp.p1_s6_yellow18 A B D) (tptp.r2_hidden E (tptp.f2_s6_yellow18 B C)) (tptp.p1_s6_yellow18 B C E)) (and (tptp.r2_hidden _let_1 (tptp.f2_s6_yellow18 A C)) (tptp.p1_s6_yellow18 A C _let_1))))))))))) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.f1_s6_yellow18) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.f1_s6_yellow18) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C tptp.f1_s6_yellow18) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D tptp.f1_s6_yellow18) (forall ((E $$unsorted) (F $$unsorted) (G $$unsorted)) (=> (and (tptp.r2_hidden E (tptp.f2_s6_yellow18 A B)) (tptp.p1_s6_yellow18 A B E) (tptp.r2_hidden F (tptp.f2_s6_yellow18 B C)) (tptp.p1_s6_yellow18 B C F) (tptp.r2_hidden G (tptp.f2_s6_yellow18 C D)) (tptp.p1_s6_yellow18 C D G)) (= (tptp.f3_s6_yellow18 A C D (tptp.f3_s6_yellow18 A B C E F) G) (tptp.f3_s6_yellow18 A B D E (tptp.f3_s6_yellow18 B C D F G))))))))))))) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.f1_s6_yellow18) (exists ((B $$unsorted)) (and (tptp.r2_hidden B (tptp.f2_s6_yellow18 A A)) (tptp.p1_s6_yellow18 A A B) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C tptp.f1_s6_yellow18) (forall ((D $$unsorted)) (=> (and (tptp.r2_hidden D (tptp.f2_s6_yellow18 A C)) (tptp.p1_s6_yellow18 A C D)) (= (tptp.f3_s6_yellow18 A A C B D) D))))))))) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.f1_s6_yellow18) (exists ((B $$unsorted)) (and (tptp.r2_hidden B (tptp.f2_s6_yellow18 A A)) (tptp.p1_s6_yellow18 A A B) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C tptp.f1_s6_yellow18) (forall ((D $$unsorted)) (=> (and (tptp.r2_hidden D (tptp.f2_s6_yellow18 C A)) (tptp.p1_s6_yellow18 C A D)) (= (tptp.f3_s6_yellow18 C A A D B) D)))))))))) (exists ((A $$unsorted)) (and (not (tptp.v3_struct_0 A)) (tptp.v2_altcat_1 A) (tptp.v6_altcat_1 A) (tptp.v11_altcat_1 A) (tptp.v12_altcat_1 A) (tptp.l2_altcat_1 A) (= (tptp.u1_struct_0 A) tptp.f1_s6_yellow18) (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 $$unsorted)) (= (tptp.r2_hidden D (tptp.k1_altcat_1 A B C)) (and (tptp.r2_hidden D (tptp.f2_s6_yellow18 B C)) (tptp.p1_s6_yellow18 B C D)))))))) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (not (and (not (= (tptp.k1_altcat_1 A B C) tptp.k1_xboole_0)) (not (= (tptp.k1_altcat_1 A C D) tptp.k1_xboole_0)) (not (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.k1_altcat_1 A B C)) (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F (tptp.k1_altcat_1 A C D)) (= (tptp.k5_altcat_1 A B C D E F) (tptp.f3_s6_yellow18 B C D E F)))))))))))))))))) (=> (and (exists ((A $$unsorted)) (and (tptp.m1_subset_1 A (tptp.u1_struct_0 tptp.f1_s7_yellow18)) (tptp.p1_s7_yellow18 A))) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A (tptp.u1_struct_0 tptp.f1_s7_yellow18)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 tptp.f1_s7_yellow18)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 tptp.f1_s7_yellow18)) (=> (and (tptp.p1_s7_yellow18 A) (tptp.p1_s7_yellow18 B) (tptp.p1_s7_yellow18 C)) (or (= (tptp.k1_altcat_1 tptp.f1_s7_yellow18 A B) tptp.k1_xboole_0) (= (tptp.k1_altcat_1 tptp.f1_s7_yellow18 B C) tptp.k1_xboole_0) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_altcat_1 tptp.f1_s7_yellow18 A B)) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.k1_altcat_1 tptp.f1_s7_yellow18 B C)) (=> (and (tptp.p2_s7_yellow18 A B D) (tptp.p2_s7_yellow18 B C E)) (tptp.p2_s7_yellow18 A C (tptp.k5_altcat_1 tptp.f1_s7_yellow18 A B C D E))))))))))))))) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A (tptp.u1_struct_0 tptp.f1_s7_yellow18)) (=> (tptp.p1_s7_yellow18 A) (tptp.p2_s7_yellow18 A A (tptp.k8_altcat_1 tptp.f1_s7_yellow18 A)))))) (exists ((A $$unsorted)) (and (not (tptp.v3_struct_0 A)) (tptp.v2_altcat_1 A) (tptp.v6_altcat_1 A) (tptp.v3_altcat_2 A tptp.f1_s7_yellow18) (tptp.m1_altcat_2 A tptp.f1_s7_yellow18) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 tptp.f1_s7_yellow18)) (= (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (tptp.p1_s7_yellow18 B)))) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 tptp.f1_s7_yellow18)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 tptp.f1_s7_yellow18)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.u1_struct_0 A)) (=> (and (= D B) (= E C)) (or (= (tptp.k1_altcat_1 tptp.f1_s7_yellow18 B C) tptp.k1_xboole_0) (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F (tptp.k1_altcat_1 tptp.f1_s7_yellow18 B C)) (= (tptp.r2_hidden F (tptp.k1_altcat_1 A D E)) (tptp.p2_s7_yellow18 B C F))))))))))))))))) (=> (and (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A (tptp.u1_struct_0 tptp.f1_s8_yellow18)) (tptp.m1_subset_1 (tptp.f3_s8_yellow18 A) (tptp.u1_struct_0 tptp.f2_s8_yellow18)))) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A (tptp.u1_struct_0 tptp.f1_s8_yellow18)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 tptp.f1_s8_yellow18)) (=> (not (= (tptp.k1_altcat_1 tptp.f1_s8_yellow18 A B) tptp.k1_xboole_0)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_altcat_1 tptp.f1_s8_yellow18 A B)) (tptp.r2_hidden (tptp.f4_s8_yellow18 A B C) (tptp.k1_binop_1 (tptp.u1_altcat_1 tptp.f2_s8_yellow18) (tptp.f3_s8_yellow18 A) (tptp.f3_s8_yellow18 B)))))))))) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A (tptp.u1_struct_0 tptp.f1_s8_yellow18)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 tptp.f1_s8_yellow18)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 tptp.f1_s8_yellow18)) (not (and (not (= (tptp.k1_altcat_1 tptp.f1_s8_yellow18 A B) tptp.k1_xboole_0)) (not (= (tptp.k1_altcat_1 tptp.f1_s8_yellow18 B C) tptp.k1_xboole_0)) (exists ((D $$unsorted)) (and (tptp.m1_subset_1 D (tptp.k1_altcat_1 tptp.f1_s8_yellow18 A B)) (exists ((E $$unsorted)) (and (tptp.m1_subset_1 E (tptp.k1_altcat_1 tptp.f1_s8_yellow18 B C)) (exists ((F $$unsorted)) (and (tptp.m1_subset_1 F (tptp.u1_struct_0 tptp.f2_s8_yellow18)) (exists ((G $$unsorted)) (and (tptp.m1_subset_1 G (tptp.u1_struct_0 tptp.f2_s8_yellow18)) (exists ((H $$unsorted)) (and (tptp.m1_subset_1 H (tptp.u1_struct_0 tptp.f2_s8_yellow18)) (= F (tptp.f3_s8_yellow18 A)) (= G (tptp.f3_s8_yellow18 B)) (= H (tptp.f3_s8_yellow18 C)) (exists ((I $$unsorted)) (and (tptp.m1_subset_1 I (tptp.k1_altcat_1 tptp.f2_s8_yellow18 F G)) (exists ((J $$unsorted)) (and (tptp.m1_subset_1 J (tptp.k1_altcat_1 tptp.f2_s8_yellow18 G H)) (= I (tptp.f4_s8_yellow18 A B D)) (= J (tptp.f4_s8_yellow18 B C E)) (not (= (tptp.f4_s8_yellow18 A C (tptp.k5_altcat_1 tptp.f1_s8_yellow18 A B C D E)) (tptp.k5_altcat_1 tptp.f2_s8_yellow18 F G H I J))))))))))))))))))))))))) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A (tptp.u1_struct_0 tptp.f1_s8_yellow18)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 tptp.f2_s8_yellow18)) (=> (= B (tptp.f3_s8_yellow18 A)) (= (tptp.f4_s8_yellow18 A A (tptp.k8_altcat_1 tptp.f1_s8_yellow18 A)) (tptp.k8_altcat_1 tptp.f2_s8_yellow18 B)))))))) (exists ((A $$unsorted)) (and (tptp.v9_functor0 A tptp.f1_s8_yellow18 tptp.f2_s8_yellow18) (tptp.v15_functor0 A tptp.f1_s8_yellow18 tptp.f2_s8_yellow18) (tptp.m2_functor0 A tptp.f1_s8_yellow18 tptp.f2_s8_yellow18) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 tptp.f1_s8_yellow18)) (= (tptp.k3_functor0 tptp.f1_s8_yellow18 tptp.f2_s8_yellow18 A B) (tptp.f3_s8_yellow18 B)))) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 tptp.f1_s8_yellow18)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 tptp.f1_s8_yellow18)) (=> (not (= (tptp.k1_altcat_1 tptp.f1_s8_yellow18 B C) tptp.k1_xboole_0)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_altcat_1 tptp.f1_s8_yellow18 B C)) (= (tptp.k6_functor0 tptp.f1_s8_yellow18 tptp.f2_s8_yellow18 A B C D) (tptp.f4_s8_yellow18 B C D)))))))))))) (=> (and (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A (tptp.u1_struct_0 tptp.f1_s9_yellow18)) (tptp.m1_subset_1 (tptp.f3_s9_yellow18 A) (tptp.u1_struct_0 tptp.f2_s9_yellow18)))) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A (tptp.u1_struct_0 tptp.f1_s9_yellow18)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 tptp.f1_s9_yellow18)) (=> (not (= (tptp.k1_altcat_1 tptp.f1_s9_yellow18 A B) tptp.k1_xboole_0)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_altcat_1 tptp.f1_s9_yellow18 A B)) (tptp.r2_hidden (tptp.f4_s9_yellow18 A B C) (tptp.k1_binop_1 (tptp.u1_altcat_1 tptp.f2_s9_yellow18) (tptp.f3_s9_yellow18 B) (tptp.f3_s9_yellow18 A)))))))))) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A (tptp.u1_struct_0 tptp.f1_s9_yellow18)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 tptp.f1_s9_yellow18)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 tptp.f1_s9_yellow18)) (not (and (not (= (tptp.k1_altcat_1 tptp.f1_s9_yellow18 A B) tptp.k1_xboole_0)) (not (= (tptp.k1_altcat_1 tptp.f1_s9_yellow18 B C) tptp.k1_xboole_0)) (exists ((D $$unsorted)) (and (tptp.m1_subset_1 D (tptp.k1_altcat_1 tptp.f1_s9_yellow18 A B)) (exists ((E $$unsorted)) (and (tptp.m1_subset_1 E (tptp.k1_altcat_1 tptp.f1_s9_yellow18 B C)) (exists ((F $$unsorted)) (and (tptp.m1_subset_1 F (tptp.u1_struct_0 tptp.f2_s9_yellow18)) (exists ((G $$unsorted)) (and (tptp.m1_subset_1 G (tptp.u1_struct_0 tptp.f2_s9_yellow18)) (exists ((H $$unsorted)) (and (tptp.m1_subset_1 H (tptp.u1_struct_0 tptp.f2_s9_yellow18)) (= F (tptp.f3_s9_yellow18 A)) (= G (tptp.f3_s9_yellow18 B)) (= H (tptp.f3_s9_yellow18 C)) (exists ((I $$unsorted)) (and (tptp.m1_subset_1 I (tptp.k1_altcat_1 tptp.f2_s9_yellow18 G F)) (exists ((J $$unsorted)) (and (tptp.m1_subset_1 J (tptp.k1_altcat_1 tptp.f2_s9_yellow18 H G)) (= I (tptp.f4_s9_yellow18 A B D)) (= J (tptp.f4_s9_yellow18 B C E)) (not (= (tptp.f4_s9_yellow18 A C (tptp.k5_altcat_1 tptp.f1_s9_yellow18 A B C D E)) (tptp.k5_altcat_1 tptp.f2_s9_yellow18 H G F J I))))))))))))))))))))))))) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A (tptp.u1_struct_0 tptp.f1_s9_yellow18)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 tptp.f2_s9_yellow18)) (=> (= B (tptp.f3_s9_yellow18 A)) (= (tptp.f4_s9_yellow18 A A (tptp.k8_altcat_1 tptp.f1_s9_yellow18 A)) (tptp.k8_altcat_1 tptp.f2_s9_yellow18 B)))))))) (exists ((A $$unsorted)) (and (tptp.v9_functor0 A tptp.f1_s9_yellow18 tptp.f2_s9_yellow18) (tptp.v16_functor0 A tptp.f1_s9_yellow18 tptp.f2_s9_yellow18) (tptp.m2_functor0 A tptp.f1_s9_yellow18 tptp.f2_s9_yellow18) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 tptp.f1_s9_yellow18)) (= (tptp.k3_functor0 tptp.f1_s9_yellow18 tptp.f2_s9_yellow18 A B) (tptp.f3_s9_yellow18 B)))) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 tptp.f1_s9_yellow18)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 tptp.f1_s9_yellow18)) (=> (not (= (tptp.k1_altcat_1 tptp.f1_s9_yellow18 B C) tptp.k1_xboole_0)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_altcat_1 tptp.f1_s9_yellow18 B C)) (= (tptp.k8_functor0 tptp.f1_s9_yellow18 tptp.f2_s9_yellow18 A B C D) (tptp.f4_s9_yellow18 B C D)))))))))))) (=> (and (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A (tptp.u1_struct_0 tptp.f1_s10_yellow18)) (= (tptp.k3_functor0 tptp.f1_s10_yellow18 tptp.f2_s10_yellow18 tptp.f3_s10_yellow18 A) (tptp.f4_s10_yellow18 A)))) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A (tptp.u1_struct_0 tptp.f1_s10_yellow18)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 tptp.f1_s10_yellow18)) (=> (not (= (tptp.k1_altcat_1 tptp.f1_s10_yellow18 A B) tptp.k1_xboole_0)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_altcat_1 tptp.f1_s10_yellow18 A B)) (= (tptp.k6_functor0 tptp.f1_s10_yellow18 tptp.f2_s10_yellow18 tptp.f3_s10_yellow18 A B C) (tptp.f5_s10_yellow18 A B C))))))))) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A (tptp.u1_struct_0 tptp.f1_s10_yellow18)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 tptp.f1_s10_yellow18)) (=> (= (tptp.f4_s10_yellow18 A) (tptp.f4_s10_yellow18 B)) (= A B)))))) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A (tptp.u1_struct_0 tptp.f1_s10_yellow18)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 tptp.f1_s10_yellow18)) (=> (not (= (tptp.k1_altcat_1 tptp.f1_s10_yellow18 A B) tptp.k1_xboole_0)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_altcat_1 tptp.f1_s10_yellow18 A B)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_altcat_1 tptp.f1_s10_yellow18 A B)) (=> (= (tptp.f5_s10_yellow18 A B C) (tptp.f5_s10_yellow18 A B D)) (= C D))))))))))) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A (tptp.u1_struct_0 tptp.f2_s10_yellow18)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 tptp.f2_s10_yellow18)) (=> (not (= (tptp.k1_altcat_1 tptp.f2_s10_yellow18 A B) tptp.k1_xboole_0)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_altcat_1 tptp.f2_s10_yellow18 A B)) (exists ((D $$unsorted)) (and (tptp.m1_subset_1 D (tptp.u1_struct_0 tptp.f1_s10_yellow18)) (exists ((E $$unsorted)) (and (tptp.m1_subset_1 E (tptp.u1_struct_0 tptp.f1_s10_yellow18)) (exists ((F $$unsorted)) (let ((_let_1 (tptp.k1_altcat_1 tptp.f1_s10_yellow18 D E))) (and (tptp.m1_subset_1 F _let_1) (= A (tptp.f4_s10_yellow18 D)) (= B (tptp.f4_s10_yellow18 E)) (not (= _let_1 tptp.k1_xboole_0)) (= C (tptp.f5_s10_yellow18 D E F))))))))))))))))) (tptp.v21_functor0 tptp.f3_s10_yellow18 tptp.f1_s10_yellow18 tptp.f2_s10_yellow18)) (=> (and (exists ((A $$unsorted)) (and (tptp.v15_functor0 A tptp.f1_s11_yellow18 tptp.f2_s11_yellow18) (tptp.m2_functor0 A tptp.f1_s11_yellow18 tptp.f2_s11_yellow18) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 tptp.f1_s11_yellow18)) (= (tptp.k3_functor0 tptp.f1_s11_yellow18 tptp.f2_s11_yellow18 A B) (tptp.f3_s11_yellow18 B)))) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 tptp.f1_s11_yellow18)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 tptp.f1_s11_yellow18)) (=> (not (= (tptp.k1_altcat_1 tptp.f1_s11_yellow18 B C) tptp.k1_xboole_0)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_altcat_1 tptp.f1_s11_yellow18 B C)) (= (tptp.k6_functor0 tptp.f1_s11_yellow18 tptp.f2_s11_yellow18 A B C D) (tptp.f4_s11_yellow18 B C D))))))))))) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A (tptp.u1_struct_0 tptp.f1_s11_yellow18)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 tptp.f1_s11_yellow18)) (=> (= (tptp.f3_s11_yellow18 A) (tptp.f3_s11_yellow18 B)) (= A B)))))) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A (tptp.u1_struct_0 tptp.f1_s11_yellow18)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 tptp.f1_s11_yellow18)) (=> (not (= (tptp.k1_altcat_1 tptp.f1_s11_yellow18 A B) tptp.k1_xboole_0)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_altcat_1 tptp.f1_s11_yellow18 A B)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_altcat_1 tptp.f1_s11_yellow18 A B)) (=> (= (tptp.f4_s11_yellow18 A B C) (tptp.f4_s11_yellow18 A B D)) (= C D))))))))))) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A (tptp.u1_struct_0 tptp.f2_s11_yellow18)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 tptp.f2_s11_yellow18)) (=> (not (= (tptp.k1_altcat_1 tptp.f2_s11_yellow18 A B) tptp.k1_xboole_0)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_altcat_1 tptp.f2_s11_yellow18 A B)) (exists ((D $$unsorted)) (and (tptp.m1_subset_1 D (tptp.u1_struct_0 tptp.f1_s11_yellow18)) (exists ((E $$unsorted)) (and (tptp.m1_subset_1 E (tptp.u1_struct_0 tptp.f1_s11_yellow18)) (exists ((F $$unsorted)) (let ((_let_1 (tptp.k1_altcat_1 tptp.f1_s11_yellow18 D E))) (and (tptp.m1_subset_1 F _let_1) (= A (tptp.f3_s11_yellow18 D)) (= B (tptp.f3_s11_yellow18 E)) (not (= _let_1 tptp.k1_xboole_0)) (= C (tptp.f4_s11_yellow18 D E F))))))))))))))))) (tptp.r1_functor0 tptp.f1_s11_yellow18 tptp.f2_s11_yellow18)) (=> (and (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A (tptp.u1_struct_0 tptp.f1_s12_yellow18)) (= (tptp.k3_functor0 tptp.f1_s12_yellow18 tptp.f2_s12_yellow18 tptp.f3_s12_yellow18 A) (tptp.f4_s12_yellow18 A)))) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A (tptp.u1_struct_0 tptp.f1_s12_yellow18)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 tptp.f1_s12_yellow18)) (=> (not (= (tptp.k1_altcat_1 tptp.f1_s12_yellow18 A B) tptp.k1_xboole_0)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_altcat_1 tptp.f1_s12_yellow18 A B)) (= (tptp.k8_functor0 tptp.f1_s12_yellow18 tptp.f2_s12_yellow18 tptp.f3_s12_yellow18 A B C) (tptp.f5_s12_yellow18 A B C))))))))) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A (tptp.u1_struct_0 tptp.f1_s12_yellow18)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 tptp.f1_s12_yellow18)) (=> (= (tptp.f4_s12_yellow18 A) (tptp.f4_s12_yellow18 B)) (= A B)))))) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A (tptp.u1_struct_0 tptp.f1_s12_yellow18)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 tptp.f1_s12_yellow18)) (=> (not (= (tptp.k1_altcat_1 tptp.f1_s12_yellow18 A B) tptp.k1_xboole_0)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_altcat_1 tptp.f1_s12_yellow18 A B)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_altcat_1 tptp.f1_s12_yellow18 A B)) (=> (= (tptp.f5_s12_yellow18 A B C) (tptp.f5_s12_yellow18 A B D)) (= C D))))))))))) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A (tptp.u1_struct_0 tptp.f2_s12_yellow18)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 tptp.f2_s12_yellow18)) (=> (not (= (tptp.k1_altcat_1 tptp.f2_s12_yellow18 A B) tptp.k1_xboole_0)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_altcat_1 tptp.f2_s12_yellow18 A B)) (exists ((D $$unsorted)) (and (tptp.m1_subset_1 D (tptp.u1_struct_0 tptp.f1_s12_yellow18)) (exists ((E $$unsorted)) (and (tptp.m1_subset_1 E (tptp.u1_struct_0 tptp.f1_s12_yellow18)) (exists ((F $$unsorted)) (let ((_let_1 (tptp.k1_altcat_1 tptp.f1_s12_yellow18 D E))) (and (tptp.m1_subset_1 F _let_1) (= B (tptp.f4_s12_yellow18 D)) (= A (tptp.f4_s12_yellow18 E)) (not (= _let_1 tptp.k1_xboole_0)) (= C (tptp.f5_s12_yellow18 D E F))))))))))))))))) (tptp.v21_functor0 tptp.f3_s12_yellow18 tptp.f1_s12_yellow18 tptp.f2_s12_yellow18)) (=> (and (exists ((A $$unsorted)) (and (tptp.v16_functor0 A tptp.f1_s13_yellow18 tptp.f2_s13_yellow18) (tptp.m2_functor0 A tptp.f1_s13_yellow18 tptp.f2_s13_yellow18) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 tptp.f1_s13_yellow18)) (= (tptp.k3_functor0 tptp.f1_s13_yellow18 tptp.f2_s13_yellow18 A B) (tptp.f3_s13_yellow18 B)))) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 tptp.f1_s13_yellow18)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 tptp.f1_s13_yellow18)) (=> (not (= (tptp.k1_altcat_1 tptp.f1_s13_yellow18 B C) tptp.k1_xboole_0)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_altcat_1 tptp.f1_s13_yellow18 B C)) (= (tptp.k8_functor0 tptp.f1_s13_yellow18 tptp.f2_s13_yellow18 A B C D) (tptp.f4_s13_yellow18 B C D))))))))))) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A (tptp.u1_struct_0 tptp.f1_s13_yellow18)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 tptp.f1_s13_yellow18)) (=> (= (tptp.f3_s13_yellow18 A) (tptp.f3_s13_yellow18 B)) (= A B)))))) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A (tptp.u1_struct_0 tptp.f1_s13_yellow18)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 tptp.f1_s13_yellow18)) (=> (not (= (tptp.k1_altcat_1 tptp.f1_s13_yellow18 A B) tptp.k1_xboole_0)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_altcat_1 tptp.f1_s13_yellow18 A B)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_altcat_1 tptp.f1_s13_yellow18 A B)) (=> (= (tptp.f4_s13_yellow18 A B C) (tptp.f4_s13_yellow18 A B D)) (= C D))))))))))) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A (tptp.u1_struct_0 tptp.f2_s13_yellow18)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 tptp.f2_s13_yellow18)) (=> (not (= (tptp.k1_altcat_1 tptp.f2_s13_yellow18 A B) tptp.k1_xboole_0)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_altcat_1 tptp.f2_s13_yellow18 A B)) (exists ((D $$unsorted)) (and (tptp.m1_subset_1 D (tptp.u1_struct_0 tptp.f1_s13_yellow18)) (exists ((E $$unsorted)) (and (tptp.m1_subset_1 E (tptp.u1_struct_0 tptp.f1_s13_yellow18)) (exists ((F $$unsorted)) (let ((_let_1 (tptp.k1_altcat_1 tptp.f1_s13_yellow18 D E))) (and (tptp.m1_subset_1 F _let_1) (= B (tptp.f3_s13_yellow18 D)) (= A (tptp.f3_s13_yellow18 E)) (not (= _let_1 tptp.k1_xboole_0)) (= C (tptp.f4_s13_yellow18 D E F))))))))))))))))) (tptp.r2_functor0 tptp.f1_s13_yellow18 tptp.f2_s13_yellow18)) (=> (and (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A (tptp.u1_struct_0 tptp.f1_s14_yellow18)) (tptp.r2_hidden (tptp.f5_s14_yellow18 A) (tptp.k1_altcat_1 tptp.f2_s14_yellow18 (tptp.k3_functor0 tptp.f1_s14_yellow18 tptp.f2_s14_yellow18 tptp.f3_s14_yellow18 A) (tptp.k3_functor0 tptp.f1_s14_yellow18 tptp.f2_s14_yellow18 tptp.f4_s14_yellow18 A))))) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A (tptp.u1_struct_0 tptp.f1_s14_yellow18)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 tptp.f1_s14_yellow18)) (=> (not (= (tptp.k1_altcat_1 tptp.f1_s14_yellow18 A B) tptp.k1_xboole_0)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_altcat_1 tptp.f1_s14_yellow18 A B)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_altcat_1 tptp.f2_s14_yellow18 (tptp.k3_functor0 tptp.f1_s14_yellow18 tptp.f2_s14_yellow18 tptp.f3_s14_yellow18 A) (tptp.k3_functor0 tptp.f1_s14_yellow18 tptp.f2_s14_yellow18 tptp.f4_s14_yellow18 A))) (=> (= D (tptp.f5_s14_yellow18 A)) (forall ((E $$unsorted)) (let ((_let_1 (tptp.k3_functor0 tptp.f1_s14_yellow18 tptp.f2_s14_yellow18 tptp.f4_s14_yellow18 B))) (let ((_let_2 (tptp.k3_functor0 tptp.f1_s14_yellow18 tptp.f2_s14_yellow18 tptp.f3_s14_yellow18 A))) (let ((_let_3 (tptp.k3_functor0 tptp.f1_s14_yellow18 tptp.f2_s14_yellow18 tptp.f3_s14_yellow18 B))) (=> (tptp.m1_subset_1 E (tptp.k1_altcat_1 tptp.f2_s14_yellow18 _let_3 _let_1)) (=> (= E (tptp.f5_s14_yellow18 B)) (= (tptp.k5_altcat_1 tptp.f2_s14_yellow18 _let_2 _let_3 _let_1 (tptp.k6_functor0 tptp.f1_s14_yellow18 tptp.f2_s14_yellow18 tptp.f3_s14_yellow18 A B C) E) (tptp.k5_altcat_1 tptp.f2_s14_yellow18 _let_2 (tptp.k3_functor0 tptp.f1_s14_yellow18 tptp.f2_s14_yellow18 tptp.f4_s14_yellow18 A) _let_1 D (tptp.k6_functor0 tptp.f1_s14_yellow18 tptp.f2_s14_yellow18 tptp.f4_s14_yellow18 A B C)))))))))))))))))))) (exists ((A $$unsorted)) (and (tptp.m2_functor2 A tptp.f1_s14_yellow18 tptp.f2_s14_yellow18 tptp.f3_s14_yellow18 tptp.f4_s14_yellow18) (tptp.r2_functor2 tptp.f1_s14_yellow18 tptp.f2_s14_yellow18 tptp.f3_s14_yellow18 tptp.f4_s14_yellow18) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 tptp.f1_s14_yellow18)) (= (tptp.k2_functor2 tptp.f1_s14_yellow18 tptp.f2_s14_yellow18 tptp.f3_s14_yellow18 tptp.f4_s14_yellow18 A B) (tptp.f5_s14_yellow18 B))))))) (=> (and (forall ((A $$unsorted)) (let ((_let_1 (tptp.k3_functor0 tptp.f1_s15_yellow18 tptp.f2_s15_yellow18 tptp.f3_s15_yellow18 A))) (let ((_let_2 (tptp.k3_functor0 tptp.f1_s15_yellow18 tptp.f2_s15_yellow18 tptp.f4_s15_yellow18 A))) (=> (tptp.m1_subset_1 A (tptp.u1_struct_0 tptp.f1_s15_yellow18)) (and (tptp.r2_hidden (tptp.f5_s15_yellow18 A) (tptp.k1_altcat_1 tptp.f2_s15_yellow18 _let_1 _let_2)) (not (= (tptp.k1_altcat_1 tptp.f2_s15_yellow18 _let_2 _let_1) tptp.k1_xboole_0)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k3_functor0 tptp.f1_s15_yellow18 tptp.f2_s15_yellow18 tptp.f4_s15_yellow18 A))) (let ((_let_2 (tptp.k3_functor0 tptp.f1_s15_yellow18 tptp.f2_s15_yellow18 tptp.f3_s15_yellow18 A))) (=> (tptp.m1_subset_1 B (tptp.k1_altcat_1 tptp.f2_s15_yellow18 _let_2 _let_1)) (=> (= B (tptp.f5_s15_yellow18 A)) (tptp.v3_altcat_3 B tptp.f2_s15_yellow18 _let_2 _let_1))))))))))) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A (tptp.u1_struct_0 tptp.f1_s15_yellow18)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 tptp.f1_s15_yellow18)) (=> (not (= (tptp.k1_altcat_1 tptp.f1_s15_yellow18 A B) tptp.k1_xboole_0)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_altcat_1 tptp.f1_s15_yellow18 A B)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_altcat_1 tptp.f2_s15_yellow18 (tptp.k3_functor0 tptp.f1_s15_yellow18 tptp.f2_s15_yellow18 tptp.f3_s15_yellow18 A) (tptp.k3_functor0 tptp.f1_s15_yellow18 tptp.f2_s15_yellow18 tptp.f4_s15_yellow18 A))) (=> (= D (tptp.f5_s15_yellow18 A)) (forall ((E $$unsorted)) (let ((_let_1 (tptp.k3_functor0 tptp.f1_s15_yellow18 tptp.f2_s15_yellow18 tptp.f4_s15_yellow18 B))) (let ((_let_2 (tptp.k3_functor0 tptp.f1_s15_yellow18 tptp.f2_s15_yellow18 tptp.f3_s15_yellow18 A))) (let ((_let_3 (tptp.k3_functor0 tptp.f1_s15_yellow18 tptp.f2_s15_yellow18 tptp.f3_s15_yellow18 B))) (=> (tptp.m1_subset_1 E (tptp.k1_altcat_1 tptp.f2_s15_yellow18 _let_3 _let_1)) (=> (= E (tptp.f5_s15_yellow18 B)) (= (tptp.k5_altcat_1 tptp.f2_s15_yellow18 _let_2 _let_3 _let_1 (tptp.k6_functor0 tptp.f1_s15_yellow18 tptp.f2_s15_yellow18 tptp.f3_s15_yellow18 A B C) E) (tptp.k5_altcat_1 tptp.f2_s15_yellow18 _let_2 (tptp.k3_functor0 tptp.f1_s15_yellow18 tptp.f2_s15_yellow18 tptp.f4_s15_yellow18 A) _let_1 D (tptp.k6_functor0 tptp.f1_s15_yellow18 tptp.f2_s15_yellow18 tptp.f4_s15_yellow18 A B C)))))))))))))))))))) (exists ((A $$unsorted)) (and (tptp.m1_functor3 A tptp.f1_s15_yellow18 tptp.f2_s15_yellow18 tptp.f3_s15_yellow18 tptp.f4_s15_yellow18) (tptp.r1_functor3 tptp.f1_s15_yellow18 tptp.f2_s15_yellow18 tptp.f3_s15_yellow18 tptp.f4_s15_yellow18) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 tptp.f1_s15_yellow18)) (= (tptp.k2_functor2 tptp.f1_s15_yellow18 tptp.f2_s15_yellow18 tptp.f3_s15_yellow18 tptp.f4_s15_yellow18 A B) (tptp.f5_s15_yellow18 B))))))) (=> (and (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.f1_s16_yellow18) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.f1_s16_yellow18) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C tptp.f1_s16_yellow18) (forall ((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)) (=> (and (tptp.r2_hidden D (tptp.f2_s16_yellow18 A B)) (tptp.r2_hidden E (tptp.f2_s16_yellow18 B C))) (tptp.r2_hidden (tptp.k5_relat_1 D E) (tptp.f2_s16_yellow18 A C))))))))))))) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.f1_s16_yellow18) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.f1_s16_yellow18) (tptp.r1_tarski (tptp.f2_s16_yellow18 A B) (tptp.k1_funct_2 (tptp.f3_s16_yellow18 A) (tptp.f3_s16_yellow18 B))))))) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.f1_s16_yellow18) (tptp.r2_hidden (tptp.k6_partfun1 (tptp.f3_s16_yellow18 A)) (tptp.f2_s16_yellow18 A A))))) (exists ((A $$unsorted)) (and (not (tptp.v3_struct_0 A)) (tptp.v2_altcat_1 A) (tptp.v6_altcat_1 A) (tptp.v11_altcat_1 A) (tptp.v12_altcat_1 A) (tptp.v4_yellow18 A) (tptp.l2_altcat_1 A) (= (tptp.u1_struct_0 A) tptp.f1_s16_yellow18) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (= (tptp.k3_yellow18 A B) (tptp.f3_s16_yellow18 B)))) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (tptp.k1_altcat_1 A B C) (tptp.f2_s16_yellow18 B C))))))))) (=> (and (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.f1_s17_yellow18) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.f1_s17_yellow18) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C tptp.f1_s17_yellow18) (forall ((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)) (=> (and (tptp.p1_s17_yellow18 A B D) (tptp.p1_s17_yellow18 B C E)) (tptp.p1_s17_yellow18 A C (tptp.k5_relat_1 D E))))))))))))) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.f1_s17_yellow18) (tptp.p1_s17_yellow18 A A (tptp.k6_partfun1 (tptp.f2_s17_yellow18 A)))))) (exists ((A $$unsorted)) (and (not (tptp.v3_struct_0 A)) (tptp.v2_altcat_1 A) (tptp.v6_altcat_1 A) (tptp.v11_altcat_1 A) (tptp.v12_altcat_1 A) (tptp.v4_yellow18 A) (tptp.l2_altcat_1 A) (= (tptp.u1_struct_0 A) tptp.f1_s17_yellow18) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (= (tptp.k3_yellow18 A B) (tptp.f2_s17_yellow18 B)))) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.f1_s17_yellow18) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C tptp.f1_s17_yellow18) (forall ((D $$unsorted)) (=> (and (tptp.v1_relat_1 D) (tptp.v1_funct_1 D)) (= (tptp.r2_hidden D (tptp.k1_binop_1 (tptp.u1_altcat_1 A) B C)) (and (tptp.r2_hidden D (tptp.k1_funct_2 (tptp.f2_s17_yellow18 B) (tptp.f2_s17_yellow18 C))) (tptp.p1_s17_yellow18 B C D)))))))))))) (=> (and (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.f1_s18_yellow18) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.f1_s18_yellow18) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C tptp.f1_s18_yellow18) (forall ((D $$unsorted)) (=> (and (tptp.v1_relat_1 D) (tptp.v1_funct_1 D)) (forall ((E $$unsorted)) (=> (and (tptp.v1_relat_1 E) (tptp.v1_funct_1 E)) (=> (and (tptp.p2_s18_yellow18 A B D) (tptp.p2_s18_yellow18 B C E)) (tptp.p2_s18_yellow18 A C (tptp.k5_relat_1 D E))))))))))))) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.f1_s18_yellow18) (forall ((B $$unsorted)) (=> (forall ((C $$unsorted)) (= (tptp.r2_hidden C B) (and (tptp.r2_hidden C (tptp.f2_s18_yellow18 A)) (tptp.p1_s18_yellow18 A C)))) (tptp.p2_s18_yellow18 A A (tptp.k6_partfun1 B))))))) (exists ((A $$unsorted)) (and (not (tptp.v3_struct_0 A)) (tptp.v2_altcat_1 A) (tptp.v6_altcat_1 A) (tptp.v11_altcat_1 A) (tptp.v12_altcat_1 A) (tptp.v4_yellow18 A) (tptp.l2_altcat_1 A) (= (tptp.u1_struct_0 A) tptp.f1_s18_yellow18) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (= (tptp.r2_hidden C (tptp.k3_yellow18 A B)) (and (tptp.r2_hidden C (tptp.f2_s18_yellow18 B)) (tptp.p1_s18_yellow18 B C)))))) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.f1_s18_yellow18) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C tptp.f1_s18_yellow18) (forall ((D $$unsorted)) (=> (and (tptp.v1_relat_1 D) (tptp.v1_funct_1 D)) (= (tptp.r2_hidden D (tptp.k1_binop_1 (tptp.u1_altcat_1 A) B C)) (and (tptp.r2_hidden D (tptp.k1_funct_2 (tptp.k3_yellow18 A B) (tptp.k3_yellow18 A C))) (tptp.p2_s18_yellow18 B C D)))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_altcat_1 A) (tptp.v9_altcat_1 A) (tptp.v11_altcat_1 A) (tptp.v12_altcat_1 A) (tptp.v2_yellow18 A) (tptp.l2_altcat_1 A)) (forall ((B $$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_altcat_1 B) (tptp.v9_altcat_1 B) (tptp.v11_altcat_1 B) (tptp.v12_altcat_1 B) (tptp.v2_yellow18 B) (tptp.l2_altcat_1 B)) (=> (and (= _let_2 tptp.f1_s19_yellow18) (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_altcat_1 A C D) (tptp.f2_s19_yellow18 C D)))))) (= _let_1 tptp.f1_s19_yellow18) (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.k1_altcat_1 B C D) (tptp.f2_s19_yellow18 C D))))))) (= (tptp.g2_altcat_1 _let_2 (tptp.u1_altcat_1 A) (tptp.u2_altcat_1 A)) (tptp.g2_altcat_1 _let_1 (tptp.u1_altcat_1 B) (tptp.u2_altcat_1 B)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_altcat_1 A) (tptp.v9_altcat_1 A) (tptp.v11_altcat_1 A) (tptp.v12_altcat_1 A) (tptp.v2_yellow18 A) (tptp.l2_altcat_1 A)) (forall ((B $$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_altcat_1 B) (tptp.v9_altcat_1 B) (tptp.v11_altcat_1 B) (tptp.v12_altcat_1 B) (tptp.v2_yellow18 B) (tptp.l2_altcat_1 B)) (=> (and (= _let_2 tptp.f1_s20_yellow18) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C tptp.f1_s20_yellow18) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D tptp.f1_s20_yellow18) (forall ((E $$unsorted)) (=> (and (tptp.v1_relat_1 E) (tptp.v1_funct_1 E)) (= (tptp.r2_hidden E (tptp.k1_binop_1 (tptp.u1_altcat_1 A) C D)) (and (tptp.r2_hidden E (tptp.k1_funct_2 (tptp.f2_s20_yellow18 C) (tptp.f2_s20_yellow18 D))) (tptp.p1_s20_yellow18 C D E))))))))) (= _let_1 tptp.f1_s20_yellow18) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C tptp.f1_s20_yellow18) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D tptp.f1_s20_yellow18) (forall ((E $$unsorted)) (=> (and (tptp.v1_relat_1 E) (tptp.v1_funct_1 E)) (= (tptp.r2_hidden E (tptp.k1_binop_1 (tptp.u1_altcat_1 B) C D)) (and (tptp.r2_hidden E (tptp.k1_funct_2 (tptp.f2_s20_yellow18 C) (tptp.f2_s20_yellow18 D))) (tptp.p1_s20_yellow18 C D E)))))))))) (= (tptp.g2_altcat_1 _let_2 (tptp.u1_altcat_1 A) (tptp.u2_altcat_1 A)) (tptp.g2_altcat_1 _let_1 (tptp.u1_altcat_1 B) (tptp.u2_altcat_1 B)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_altcat_1 A) (tptp.v9_altcat_1 A) (tptp.v11_altcat_1 A) (tptp.v12_altcat_1 A) (tptp.v2_yellow18 A) (tptp.l2_altcat_1 A)) (forall ((B $$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_altcat_1 B) (tptp.v9_altcat_1 B) (tptp.v11_altcat_1 B) (tptp.v12_altcat_1 B) (tptp.v2_yellow18 B) (tptp.l2_altcat_1 B)) (=> (and (= _let_2 tptp.f1_s21_yellow18) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (= (tptp.r2_hidden D (tptp.k3_yellow18 A C)) (and (tptp.r2_hidden D (tptp.f2_s21_yellow18 C)) (tptp.p1_s21_yellow18 C D)))))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C tptp.f1_s21_yellow18) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D tptp.f1_s21_yellow18) (forall ((E $$unsorted)) (=> (and (tptp.v1_relat_1 E) (tptp.v1_funct_1 E)) (= (tptp.r2_hidden E (tptp.k1_binop_1 (tptp.u1_altcat_1 A) C D)) (and (tptp.r2_hidden E (tptp.k1_funct_2 (tptp.k3_yellow18 A C) (tptp.k3_yellow18 A D))) (tptp.p2_s21_yellow18 C D E))))))))) (= _let_1 tptp.f1_s21_yellow18) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 B)) (forall ((D $$unsorted)) (= (tptp.r2_hidden D (tptp.k3_yellow18 B C)) (and (tptp.r2_hidden D (tptp.f2_s21_yellow18 C)) (tptp.p1_s21_yellow18 C D)))))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C tptp.f1_s21_yellow18) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D tptp.f1_s21_yellow18) (forall ((E $$unsorted)) (=> (and (tptp.v1_relat_1 E) (tptp.v1_funct_1 E)) (= (tptp.r2_hidden E (tptp.k1_binop_1 (tptp.u1_altcat_1 B) C D)) (and (tptp.r2_hidden E (tptp.k1_funct_2 (tptp.k3_yellow18 B C) (tptp.k3_yellow18 B D))) (tptp.p2_s21_yellow18 C D E)))))))))) (= (tptp.g2_altcat_1 _let_2 (tptp.u1_altcat_1 A) (tptp.u2_altcat_1 A)) (tptp.g2_altcat_1 _let_1 (tptp.u1_altcat_1 B) (tptp.u2_altcat_1 B)))))))))) (=> (and (exists ((A $$unsorted)) (and (tptp.v15_functor0 A tptp.f1_s22_yellow18 tptp.f2_s22_yellow18) (tptp.m2_functor0 A tptp.f1_s22_yellow18 tptp.f2_s22_yellow18) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 tptp.f1_s22_yellow18)) (= (tptp.k3_functor0 tptp.f1_s22_yellow18 tptp.f2_s22_yellow18 A B) (tptp.f3_s22_yellow18 B)))) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 tptp.f1_s22_yellow18)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 tptp.f1_s22_yellow18)) (=> (not (= (tptp.k1_altcat_1 tptp.f1_s22_yellow18 B C) tptp.k1_xboole_0)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_altcat_1 tptp.f1_s22_yellow18 B C)) (= (tptp.k6_functor0 tptp.f1_s22_yellow18 tptp.f2_s22_yellow18 A B C D) (tptp.f5_s22_yellow18 B C D))))))))))) (exists ((A $$unsorted)) (and (tptp.v15_functor0 A tptp.f2_s22_yellow18 tptp.f1_s22_yellow18) (tptp.m2_functor0 A tptp.f2_s22_yellow18 tptp.f1_s22_yellow18) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 tptp.f2_s22_yellow18)) (= (tptp.k3_functor0 tptp.f2_s22_yellow18 tptp.f1_s22_yellow18 A B) (tptp.f4_s22_yellow18 B)))) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 tptp.f2_s22_yellow18)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 tptp.f2_s22_yellow18)) (=> (not (= (tptp.k1_altcat_1 tptp.f2_s22_yellow18 B C) tptp.k1_xboole_0)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_altcat_1 tptp.f2_s22_yellow18 B C)) (= (tptp.k6_functor0 tptp.f2_s22_yellow18 tptp.f1_s22_yellow18 A B C D) (tptp.f6_s22_yellow18 B C D))))))))))) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A (tptp.u1_struct_0 tptp.f1_s22_yellow18)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.f7_s22_yellow18 B))) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 tptp.f1_s22_yellow18)) (=> (= A (tptp.f4_s22_yellow18 (tptp.f3_s22_yellow18 B))) (and (tptp.r2_hidden _let_1 (tptp.k1_altcat_1 tptp.f1_s22_yellow18 A B)) (tptp.r2_hidden (tptp.k2_funct_1 _let_1) (tptp.k1_altcat_1 tptp.f1_s22_yellow18 B A)) (tptp.v2_funct_1 _let_1)))))))) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A (tptp.u1_struct_0 tptp.f2_s22_yellow18)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.f8_s22_yellow18 A))) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 tptp.f2_s22_yellow18)) (=> (= B (tptp.f3_s22_yellow18 (tptp.f4_s22_yellow18 A))) (and (tptp.r2_hidden _let_1 (tptp.k1_altcat_1 tptp.f2_s22_yellow18 A B)) (tptp.r2_hidden (tptp.k2_funct_1 _let_1) (tptp.k1_altcat_1 tptp.f2_s22_yellow18 B A)) (tptp.v2_funct_1 _let_1)))))))) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A (tptp.u1_struct_0 tptp.f1_s22_yellow18)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 tptp.f1_s22_yellow18)) (=> (not (= (tptp.k1_altcat_1 tptp.f1_s22_yellow18 A B) tptp.k1_xboole_0)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_altcat_1 tptp.f1_s22_yellow18 A B)) (= (tptp.k5_relat_1 (tptp.f6_s22_yellow18 (tptp.f3_s22_yellow18 A) (tptp.f3_s22_yellow18 B) (tptp.f5_s22_yellow18 A B C)) (tptp.f7_s22_yellow18 B)) (tptp.k5_relat_1 (tptp.f7_s22_yellow18 A) C))))))))) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A (tptp.u1_struct_0 tptp.f2_s22_yellow18)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 tptp.f2_s22_yellow18)) (=> (not (= (tptp.k1_altcat_1 tptp.f2_s22_yellow18 A B) tptp.k1_xboole_0)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_altcat_1 tptp.f2_s22_yellow18 A B)) (= (tptp.k5_relat_1 (tptp.f8_s22_yellow18 A) (tptp.f5_s22_yellow18 (tptp.f4_s22_yellow18 A) (tptp.f4_s22_yellow18 B) (tptp.f6_s22_yellow18 A B C))) (tptp.k5_relat_1 C (tptp.f8_s22_yellow18 B))))))))))) (tptp.r1_yellow18 tptp.f1_s22_yellow18 tptp.f2_s22_yellow18)) (=> (forall ((A $$unsorted) (B $$unsorted)) (not (and (tptp.r2_hidden A tptp.f1_s23_yellow18) (tptp.r2_hidden B (tptp.k1_funct_1 tptp.f2_s23_yellow18 A)) (forall ((C $$unsorted)) (not (and (tptp.r2_hidden C (tptp.k1_funct_1 tptp.f3_s23_yellow18 A)) (tptp.p1_s23_yellow18 A B C))))))) (exists ((A $$unsorted)) (and (tptp.m3_pboole A tptp.f1_s23_yellow18 tptp.f2_s23_yellow18 tptp.f3_s23_yellow18) (forall ((B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k1_funct_1 (tptp.k1_funct_1 A B) C))) (=> (and (tptp.r2_hidden B tptp.f1_s23_yellow18) (tptp.r2_hidden C (tptp.k1_funct_1 tptp.f2_s23_yellow18 B))) (and (tptp.r2_hidden _let_1 (tptp.k1_funct_1 tptp.f3_s23_yellow18 B)) (tptp.p1_s23_yellow18 B C _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.v1_yellow18 D A B C) (tptp.v2_funct_1 D))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_altcat_1 A) (tptp.v11_altcat_1 A) (tptp.v12_altcat_1 A) (tptp.l2_altcat_1 A) (not (tptp.v3_struct_0 B)) (tptp.v2_altcat_1 B) (tptp.v11_altcat_1 B) (tptp.v12_altcat_1 B) (tptp.l2_altcat_1 B)) (=> (tptp.r1_yellow18 A B) (tptp.r1_yellow18 B A)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_altcat_1 A) (tptp.v11_altcat_1 A) (tptp.v12_altcat_1 A) (tptp.l2_altcat_1 A) (not (tptp.v3_struct_0 B)) (tptp.v2_altcat_1 B) (tptp.v11_altcat_1 B) (tptp.v12_altcat_1 B) (tptp.l2_altcat_1 B)) (tptp.r1_yellow18 A A))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l2_altcat_1 A) (not (tptp.v3_struct_0 B)) (tptp.l2_altcat_1 B)) (=> (tptp.r2_yellow18 A B) (tptp.r2_yellow18 B A)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_altcat_1 A) (tptp.v11_altcat_1 A) (tptp.v12_altcat_1 A) (tptp.l2_altcat_1 A) (not (tptp.v3_struct_0 B)) (tptp.v2_altcat_1 B) (tptp.v11_altcat_1 B) (tptp.v12_altcat_1 B) (tptp.l2_altcat_1 B)) (=> (tptp.r3_yellow18 A B) (tptp.r3_yellow18 B A)))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k1_yellow18 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_altcat_1 A) (tptp.l2_altcat_1 A)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v2_altcat_1 _let_1) (tptp.v6_altcat_1 _let_1) (tptp.l2_altcat_1 _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k2_yellow18 A B))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_altcat_1 A) (tptp.v11_altcat_1 A) (tptp.v12_altcat_1 A) (tptp.l2_altcat_1 A) (not (tptp.v3_struct_0 B)) (tptp.v2_altcat_1 B) (tptp.v11_altcat_1 B) (tptp.v12_altcat_1 B) (tptp.l2_altcat_1 B)) (and (tptp.v9_functor0 _let_1 A B) (tptp.v16_functor0 _let_1 A B) (tptp.m2_functor0 _let_1 A B))))) true (forall ((A $$unsorted)) (let ((_let_1 (tptp.k4_yellow18 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_altcat_1 A) (tptp.v11_altcat_1 A) (tptp.v12_altcat_1 A) (tptp.l2_altcat_1 A)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v2_altcat_1 _let_1) (tptp.v6_altcat_1 _let_1) (tptp.v11_altcat_1 _let_1) (tptp.v12_altcat_1 _let_1) (tptp.v4_yellow18 _let_1) (tptp.l2_altcat_1 _let_1))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k4_yellow18 A))) (let ((_let_2 (tptp.k5_yellow18 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_altcat_1 A) (tptp.v11_altcat_1 A) (tptp.v12_altcat_1 A) (tptp.l2_altcat_1 A)) (and (tptp.v9_functor0 _let_2 A _let_1) (tptp.v15_functor0 _let_2 A _let_1) (tptp.m2_functor0 _let_2 A _let_1)))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k3_yellow_1 (tptp.k2_pre_topc A)))) (let ((_let_2 (tptp.k1_yellow19 A B))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A) (tptp.m1_subset_1 B (tptp.u1_struct_0 A))) (and (not (tptp.v1_xboole_0 _let_2)) (tptp.v2_waybel_0 _let_2 _let_1) (tptp.v13_waybel_0 _let_2 _let_1) (tptp.v1_tex_2 _let_2 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 _let_1)))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_struct_0 A) (not (tptp.v3_struct_0 B)) (tptp.v2_orders_2 B) (tptp.l1_waybel_0 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_yellow19 C A B) (not (tptp.v1_xboole_0 C)))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k2_yellow19 A B))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_struct_0 A) (not (tptp.v3_struct_0 B)) (tptp.l1_waybel_0 B A)) (and (not (tptp.v1_xboole_0 _let_1)) (tptp.v13_waybel_0 _let_1 (tptp.k3_yellow_1 (tptp.k2_pre_topc A))))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k3_yellow_1 (tptp.k2_pre_topc A)))) (let ((_let_2 (tptp.k2_yellow19 A B))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_struct_0 A) (not (tptp.v3_struct_0 B)) (tptp.v3_orders_2 B) (tptp.v7_waybel_0 B) (tptp.l1_waybel_0 B A)) (and (not (tptp.v1_xboole_0 _let_2)) (tptp.v2_waybel_0 _let_2 _let_1) (tptp.v13_waybel_0 _let_2 _let_1) (tptp.v1_tex_2 _let_2 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 _let_1)))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k3_yellow19 A B C))) (let ((_let_2 (tptp.k3_yellow_1 B))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_struct_0 A) (not (tptp.v1_xboole_0 B)) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (not (tptp.v1_xboole_0 C)) (tptp.v2_waybel_0 C _let_2) (tptp.v13_waybel_0 C _let_2) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 _let_2)))) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v2_orders_2 _let_1) (tptp.v3_orders_2 _let_1) (tptp.v6_waybel_0 _let_1 A)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k3_yellow19 A B C))) (let ((_let_2 (tptp.k3_yellow_1 B))) (let ((_let_3 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 _let_2)))) (=> (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))) (not (tptp.v1_xboole_0 C)) (tptp.v2_waybel_0 C _let_2) (tptp.v13_waybel_0 C _let_2) (tptp.v1_tex_2 C _let_3) (tptp.m1_subset_1 C _let_3)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v2_orders_2 _let_1) (tptp.v3_orders_2 _let_1) (tptp.v6_waybel_0 _let_1 A) (tptp.v7_waybel_0 _let_1))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_struct_0 A) (tptp.v3_orders_2 B) (tptp.l1_waybel_0 B A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.v2_yellow_6 C A B))) (=> (tptp.m1_yellow_6 C A B) (=> _let_1 (and (tptp.v3_orders_2 C) _let_1))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_struct_0 A) (not (tptp.v3_struct_0 B)) (tptp.v7_waybel_0 B) (tptp.l1_waybel_0 B A)) (exists ((C $$unsorted)) (and (tptp.m1_yellow_6 C A B) (not (tptp.v3_struct_0 C)) (tptp.v6_waybel_0 C A) (tptp.v7_waybel_0 C) (tptp.v2_yellow_6 C A B))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k2_pre_topc A))) (let ((_let_2 (tptp.k3_yellow19 A _let_1 B))) (let ((_let_3 (tptp.k3_yellow_1 _let_1))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_struct_0 A) (not (tptp.v1_xboole_0 B)) (tptp.v2_waybel_0 B _let_3) (tptp.v13_waybel_0 B _let_3) (tptp.v3_waybel_7 B _let_3) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 _let_3)))) (and (not (tptp.v3_struct_0 _let_2)) (tptp.v2_orders_2 _let_2) (tptp.v3_orders_2 _let_2) (tptp.v6_waybel_0 _let_2 A) (tptp.v7_waybel_0 _let_2) (tptp.v1_yellow19 _let_2 A))))))) true (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k3_yellow_1 A))) (let ((_let_2 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 _let_1)))) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.v2_waybel_0 B _let_1) (tptp.v13_waybel_0 B _let_1) (tptp.v1_tex_2 B _let_2) (tptp.m1_subset_1 B _let_2)) (forall ((C $$unsorted)) (not (and (tptp.r2_hidden C B) (tptp.v1_xboole_0 C)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (= (tptp.r2_hidden C (tptp.k1_yellow19 A B)) (tptp.m1_connsp_2 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)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k3_yellow_1 (tptp.k2_pre_topc A)))) (=> (and (tptp.v13_waybel_0 C _let_1) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 _let_1)))) (= (tptp.r2_waybel_7 A C B) (tptp.r1_tarski (tptp.k1_yellow19 A B) C))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (tptp.r2_waybel_7 A (tptp.k1_yellow19 A B) B))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (tptp.v3_pre_topc B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (=> (tptp.r2_hidden C B) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k3_yellow_1 (tptp.k2_pre_topc A)))) (=> (and (not (tptp.v1_xboole_0 D)) (tptp.v2_waybel_0 D _let_1) (tptp.v13_waybel_0 D _let_1) (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 _let_1)))) (=> (tptp.r2_waybel_7 A D C) (tptp.r2_hidden B D))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_struct_0 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.l1_waybel_0 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (tptp.m1_yellow19 C A B) (exists ((D $$unsorted)) (let ((_let_1 (tptp.k5_waybel_9 A B D))) (and (tptp.m1_subset_1 D (tptp.u1_struct_0 B)) (= C (tptp.k5_relset_1 (tptp.u1_struct_0 _let_1) (tptp.u1_struct_0 A) (tptp.u1_waybel_0 A _let_1))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_struct_0 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.l1_waybel_0 B A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k5_waybel_9 A B C))) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 B)) (tptp.m1_yellow19 (tptp.k5_relset_1 (tptp.u1_struct_0 _let_1) (tptp.u1_struct_0 A) (tptp.u1_waybel_0 A _let_1)) A B)))))))) (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.v3_orders_2 B) (tptp.v7_waybel_0 B) (tptp.l1_waybel_0 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 B)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k6_waybel_9 A B C))) (= (tptp.r2_hidden D (tptp.k5_relset_1 (tptp.u1_struct_0 _let_1) (tptp.u1_struct_0 A) (tptp.u1_waybel_0 A _let_1))) (exists ((E $$unsorted)) (and (tptp.m1_subset_1 E (tptp.u1_struct_0 B)) (tptp.r1_orders_2 B C E) (= D (tptp.k3_waybel_0 A B E))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_struct_0 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_orders_2 B) (tptp.v7_waybel_0 B) (tptp.l1_waybel_0 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_yellow19 C A B) (tptp.r1_waybel_0 A B C))))))) (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.v3_orders_2 B) (tptp.v7_waybel_0 B) (tptp.l1_waybel_0 B A)) (forall ((C $$unsorted)) (=> (and (not (tptp.v1_xboole_0 C)) (tptp.v1_finset_1 C)) (not (and (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D C) (tptp.m1_yellow19 D A B))) (forall ((D $$unsorted)) (=> (tptp.m1_yellow19 D A B) (not (tptp.r1_tarski D (tptp.k1_setfam_1 C))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_struct_0 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.l1_waybel_0 B A)) (forall ((C $$unsorted)) (= (tptp.r2_hidden C (tptp.k2_yellow19 A B)) (and (tptp.r1_waybel_0 A B C) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (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.v3_orders_2 B) (tptp.v7_waybel_0 B) (tptp.l1_waybel_0 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (tptp.r3_waybel_9 A B C) (tptp.r1_waybel_7 A (tptp.k2_yellow19 A B) C)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_orders_2 B) (tptp.v7_waybel_0 B) (tptp.l1_waybel_0 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (tptp.r2_hidden C (tptp.k11_yellow_6 A B)) (tptp.r2_waybel_7 A (tptp.k2_yellow19 A B) C)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_struct_0 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k2_pre_topc A))) (let ((_let_2 (tptp.k3_yellow_1 _let_1))) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.v2_waybel_0 B _let_2) (tptp.v13_waybel_0 B _let_2) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 _let_2)))) (= (tptp.k4_xboole_0 B (tptp.k1_tarski tptp.k1_xboole_0)) (tptp.k2_yellow19 A (tptp.k3_yellow19 A _let_1 B))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_struct_0 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k2_pre_topc A))) (let ((_let_2 (tptp.k3_yellow_1 _let_1))) (let ((_let_3 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 _let_2)))) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.v2_waybel_0 B _let_2) (tptp.v13_waybel_0 B _let_2) (tptp.v1_tex_2 B _let_3) (tptp.m1_subset_1 B _let_3)) (= B (tptp.k2_yellow19 A (tptp.k3_yellow19 A _let_1 B)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_struct_0 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k3_yellow_1 (tptp.k2_pre_topc A)))) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.v2_waybel_0 B _let_1) (tptp.v13_waybel_0 B _let_1) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 _let_1)))) (forall ((C $$unsorted)) (=> (and (not (tptp.v1_xboole_0 C)) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (= (tptp.r2_hidden C B) (tptp.r1_waybel_0 A (tptp.k3_yellow19 A (tptp.k2_pre_topc A) B) C))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k3_yellow_1 (tptp.k2_pre_topc A)))) (let ((_let_2 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 _let_1)))) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.v2_waybel_0 B _let_1) (tptp.v13_waybel_0 B _let_1) (tptp.v1_tex_2 B _let_2) (tptp.m1_subset_1 B _let_2)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (tptp.r3_waybel_9 A (tptp.k3_yellow19 A (tptp.k2_pre_topc A) B) C) (tptp.r1_waybel_7 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.k3_yellow_1 (tptp.k2_pre_topc A)))) (let ((_let_2 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 _let_1)))) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.v2_waybel_0 B _let_1) (tptp.v13_waybel_0 B _let_1) (tptp.v1_tex_2 B _let_2) (tptp.m1_subset_1 B _let_2)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (tptp.r2_hidden C (tptp.k11_yellow_6 A (tptp.k3_yellow19 A (tptp.k2_pre_topc A) B))) (tptp.r2_waybel_7 A B C)))))))))) true (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (tptp.r2_hidden B (tptp.k6_pre_topc A C)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k2_pre_topc A))) (let ((_let_2 (tptp.k3_yellow_1 _let_1))) (let ((_let_3 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 _let_2)))) (=> (and (not (tptp.v1_xboole_0 D)) (tptp.v2_waybel_0 D _let_2) (tptp.v13_waybel_0 D _let_2) (tptp.v1_tex_2 D _let_3) (tptp.m1_subset_1 D _let_3)) (=> (= D (tptp.k1_yellow19 A B)) (tptp.r2_waybel_0 A (tptp.k3_yellow19 A _let_1 D) C)))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_struct_0 A)) (forall ((B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.v3_orders_2 C) (tptp.v7_waybel_0 C) (tptp.l1_waybel_0 C A)) (=> (tptp.r1_waybel_0 A C B) (forall ((D $$unsorted)) (=> (tptp.m2_yellow_6 D A C) (tptp.r1_waybel_0 A D B)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.r1_tarski B C) (tptp.r2_waybel_7 A B D)) (tptp.r2_waybel_7 A C D))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (tptp.r2_hidden C (tptp.k6_pre_topc A B)) (exists ((D $$unsorted)) (and (not (tptp.v3_struct_0 D)) (tptp.v3_orders_2 D) (tptp.v7_waybel_0 D) (tptp.l1_waybel_0 D A) (tptp.r1_waybel_0 A D B) (tptp.r3_waybel_9 A D C)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (tptp.r2_hidden C (tptp.k6_pre_topc A B)) (exists ((D $$unsorted)) (and (not (tptp.v3_struct_0 D)) (tptp.v3_orders_2 D) (tptp.v7_waybel_0 D) (tptp.v3_yellow_6 D A) (tptp.l1_waybel_0 D A) (tptp.r1_waybel_0 A D B) (tptp.r2_hidden C (tptp.k11_yellow_6 A D))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (tptp.v4_pre_topc B A) (forall ((C $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.v3_orders_2 C) (tptp.v7_waybel_0 C) (tptp.l1_waybel_0 C A)) (=> (tptp.r1_waybel_0 A C B) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (=> (tptp.r3_waybel_9 A C D) (tptp.r2_hidden D B)))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (tptp.v4_pre_topc B A) (forall ((C $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.v3_orders_2 C) (tptp.v7_waybel_0 C) (tptp.v3_yellow_6 C A) (tptp.l1_waybel_0 C A)) (=> (tptp.r1_waybel_0 A C B) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (=> (tptp.r2_hidden D (tptp.k11_yellow_6 A C)) (tptp.r2_hidden D B)))))))))))) (forall ((A $$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)) (exists ((D $$unsorted)) (let ((_let_1 (tptp.k3_yellow_1 (tptp.k2_pre_topc A)))) (let ((_let_2 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 _let_1)))) (and (not (tptp.v1_xboole_0 D)) (tptp.v2_waybel_0 D _let_1) (tptp.v13_waybel_0 D _let_1) (tptp.v1_tex_2 D _let_2) (tptp.m1_subset_1 D _let_2) (tptp.r2_hidden B D) (tptp.r1_waybel_7 A D C)))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (tptp.r2_hidden C (tptp.k6_pre_topc A B)) (exists ((D $$unsorted)) (let ((_let_1 (tptp.k3_yellow_1 (tptp.k2_pre_topc A)))) (and (not (tptp.v1_xboole_0 D)) (tptp.v2_waybel_0 D _let_1) (tptp.v13_waybel_0 D _let_1) (tptp.v3_waybel_7 D _let_1) (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 _let_1))) (tptp.r2_hidden B D) (tptp.r2_waybel_7 A D C))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (tptp.v4_pre_topc B A) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k3_yellow_1 (tptp.k2_pre_topc A)))) (let ((_let_2 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 _let_1)))) (=> (and (not (tptp.v1_xboole_0 C)) (tptp.v2_waybel_0 C _let_1) (tptp.v13_waybel_0 C _let_1) (tptp.v1_tex_2 C _let_2) (tptp.m1_subset_1 C _let_2)) (=> (tptp.r2_hidden B C) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (=> (tptp.r1_waybel_7 A C D) (tptp.r2_hidden D B)))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (tptp.v4_pre_topc B A) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k3_yellow_1 (tptp.k2_pre_topc A)))) (=> (and (not (tptp.v1_xboole_0 C)) (tptp.v2_waybel_0 C _let_1) (tptp.v13_waybel_0 C _let_1) (tptp.v3_waybel_7 C _let_1) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 _let_1)))) (=> (tptp.r2_hidden B C) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (=> (tptp.r2_waybel_7 A C D) (tptp.r2_hidden D B))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_orders_2 B) (tptp.v7_waybel_0 B) (tptp.l1_waybel_0 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (tptp.r3_waybel_9 A B C) (forall ((D $$unsorted)) (=> (tptp.m1_yellow19 D A B) (tptp.r2_hidden C (tptp.k6_pre_topc A D))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 _let_1))) (=> (tptp.v2_tops_2 B A) (tptp.v2_tops_2 (tptp.k2_cantor_1 _let_1 B) A))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (= (tptp.v2_compts_1 A) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k3_yellow_1 (tptp.k2_pre_topc A)))) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.v2_waybel_0 B _let_1) (tptp.v13_waybel_0 B _let_1) (tptp.v3_waybel_7 B _let_1) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 _let_1)))) (exists ((C $$unsorted)) (and (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (tptp.r2_waybel_7 A B C))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (= (tptp.v2_compts_1 A) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k3_yellow_1 (tptp.k2_pre_topc A)))) (let ((_let_2 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 _let_1)))) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.v2_waybel_0 B _let_1) (tptp.v13_waybel_0 B _let_1) (tptp.v1_tex_2 B _let_2) (tptp.m1_subset_1 B _let_2)) (exists ((C $$unsorted)) (and (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (tptp.r1_waybel_7 A B C)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (= (tptp.v2_compts_1 A) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_orders_2 B) (tptp.v7_waybel_0 B) (tptp.l1_waybel_0 B A)) (exists ((C $$unsorted)) (and (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (tptp.r3_waybel_9 A B C)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (= (tptp.v2_compts_1 A) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_orders_2 B) (tptp.v7_waybel_0 B) (tptp.l1_waybel_0 B A)) (not (and (tptp.r2_hidden B (tptp.k7_yellow_6 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (not (tptp.r3_waybel_9 A B C))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (= (tptp.v2_compts_1 A) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_orders_2 B) (tptp.v7_waybel_0 B) (tptp.l1_waybel_0 B A)) (exists ((C $$unsorted)) (and (tptp.m2_yellow_6 C A B) (tptp.v3_yellow_6 C A)))))))) (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.l1_waybel_0 B A)) (= (tptp.v1_yellow19 B A) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 _let_1)) (or (tptp.r1_waybel_0 A B C) (tptp.r1_waybel_0 A B (tptp.k3_subset_1 _let_1 C))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (= (tptp.v2_compts_1 A) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_orders_2 B) (tptp.v7_waybel_0 B) (tptp.l1_waybel_0 B A)) (=> (tptp.v1_yellow19 B A) (tptp.v3_yellow_6 B A))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_struct_0 A) (not (tptp.v3_struct_0 B)) (tptp.l1_waybel_0 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_yellow19 C A B) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_struct_0 A) (not (tptp.v3_struct_0 B)) (tptp.l1_waybel_0 B A)) (exists ((C $$unsorted)) (tptp.m1_yellow19 C A B)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A) (tptp.m1_subset_1 B (tptp.u1_struct_0 A))) (tptp.m1_subset_1 (tptp.k1_yellow19 A B) (tptp.k1_zfmisc_1 (tptp.u1_struct_0 (tptp.k3_yellow_1 (tptp.k2_pre_topc A))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_struct_0 A) (not (tptp.v3_struct_0 B)) (tptp.l1_waybel_0 B A)) (tptp.m1_subset_1 (tptp.k2_yellow19 A B) (tptp.k1_zfmisc_1 (tptp.u1_struct_0 (tptp.k3_yellow_1 (tptp.k2_pre_topc A))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k3_yellow19 A B C))) (let ((_let_2 (tptp.k3_yellow_1 B))) (=> (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))) (not (tptp.v1_xboole_0 C)) (tptp.v2_waybel_0 C _let_2) (tptp.v13_waybel_0 C _let_2) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 _let_2)))) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v6_waybel_0 _let_1 A) (tptp.l1_waybel_0 _let_1 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 A)) (= (tptp.k1_yellow19 A B) (tptp.a_2_0_yellow19 A B)))))) (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.l1_waybel_0 B A)) (= (tptp.k2_yellow19 A B) (tptp.a_2_1_yellow19 A B)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_struct_0 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k3_yellow_1 B))) (=> (and (not (tptp.v1_xboole_0 C)) (tptp.v2_waybel_0 C _let_1) (tptp.v13_waybel_0 C _let_1) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 _let_1)))) (forall ((D $$unsorted)) (=> (and (not (tptp.v3_struct_0 D)) (tptp.v6_waybel_0 D A) (tptp.l1_waybel_0 D A)) (= (= D (tptp.k3_yellow19 A B C)) (and (= (tptp.u1_struct_0 D) (tptp.a_3_0_yellow19 A B C)) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.u1_struct_0 D)) (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F (tptp.u1_struct_0 D)) (= (tptp.r1_orders_2 D E F) (tptp.r1_tarski (tptp.k2_mcart_1 F) (tptp.k2_mcart_1 E))))))) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.u1_struct_0 D)) (= (tptp.k3_waybel_0 A D E) (tptp.k1_mcart_1 E))))))))))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (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 B))) (= (tptp.r2_hidden A (tptp.a_2_0_yellow19 B C)) (exists ((D $$unsorted)) (and (tptp.m1_connsp_2 D B C) (= A D)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.l1_struct_0 B) (not (tptp.v3_struct_0 C)) (tptp.l1_waybel_0 C B)) (= (tptp.r2_hidden A (tptp.a_2_1_yellow19 B C)) (exists ((D $$unsorted)) (and (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B))) (= A D) (tptp.r1_waybel_0 B C D)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k3_yellow_1 C))) (=> (and (not (tptp.v3_struct_0 B)) (tptp.l1_struct_0 B) (not (tptp.v1_xboole_0 C)) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B))) (not (tptp.v1_xboole_0 D)) (tptp.v2_waybel_0 D _let_1) (tptp.v13_waybel_0 D _let_1) (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 _let_1)))) (= (tptp.r2_hidden A (tptp.a_3_0_yellow19 B C D)) (exists ((E $$unsorted) (F $$unsorted)) (and (tptp.m1_subset_1 E (tptp.u1_struct_0 B)) (tptp.m1_struct_0 F (tptp.k3_yellow_1 C) D) (= A (tptp.k4_tarski E F)) (tptp.r2_hidden E F))))))) (forall ((A $$unsorted)) (let ((_let_1 (not (tptp.v3_struct_0 A)))) (=> (tptp.l1_waybel_9 A) (=> (and _let_1 (tptp.v1_waybel33 A)) (and _let_1 (tptp.v2_pre_topc A)))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.v2_lattice3 A))) (let ((_let_2 (tptp.v1_lattice3 A))) (let ((_let_3 (tptp.v4_orders_2 A))) (let ((_let_4 (tptp.v3_orders_2 A))) (let ((_let_5 (tptp.v2_orders_2 A))) (let ((_let_6 (tptp.v2_pre_topc A))) (=> (tptp.l1_waybel_9 A) (=> (and _let_6 _let_5 _let_4 _let_3 _let_2 _let_1 (tptp.v3_realset2 A)) (and (not (tptp.v3_struct_0 A)) _let_6 _let_5 _let_4 _let_3 _let_2 _let_1 (tptp.v1_waybel33 A))))))))))) (exists ((A $$unsorted)) (and (tptp.l1_waybel_9 A) (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_yellow_0 A) (tptp.v2_yellow_0 A) (tptp.v3_yellow_0 A) (tptp.v2_waybel_3 A) (tptp.v3_waybel_3 A) (tptp.v24_waybel_0 A) (tptp.v25_waybel_0 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_lattice3 A) (tptp.v1_waybel33 A))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v25_waybel_0 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_yellow_9 B A) (and (not (tptp.v3_struct_0 B)) (tptp.v2_orders_2 B) (tptp.v1_yellow_0 B) (tptp.v25_waybel_0 B)))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_yellow_9 B A) (and (not (tptp.v3_struct_0 B)) (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.v2_lattice3 B)))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v24_waybel_0 A) (tptp.v25_waybel_0 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 A)) (exists ((B $$unsorted)) (and (tptp.m1_yellow_9 B A) (not (tptp.v3_struct_0 B)) (tptp.v2_pre_topc B) (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.v1_yellow_0 B) (tptp.v24_waybel_0 B) (tptp.v25_waybel_0 B) (tptp.v2_lattice3 B) (not (tptp.v1_yellow_3 B)) (tptp.v1_waybel_9 B) (tptp.v1_waybel33 B))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k2_waybel33 A))) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v24_waybel_0 A) (tptp.v25_waybel_0 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 A)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v2_pre_topc _let_1) (tptp.v2_orders_2 _let_1) (tptp.v3_orders_2 _let_1) (tptp.v4_orders_2 _let_1) (tptp.v1_yellow_0 _let_1) (tptp.v24_waybel_0 _let_1) (tptp.v25_waybel_0 _let_1) (tptp.v2_lattice3 _let_1) (not (tptp.v1_yellow_3 _let_1)) (tptp.v1_waybel_9 _let_1) (tptp.v1_waybel33 _let_1))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.v1_lattice3 B) (tptp.v2_lattice3 B) (tptp.v3_lattice3 B) (tptp.l1_orders_2 B)) (=> (= (tptp.g1_orders_2 (tptp.u1_struct_0 A) (tptp.u1_orders_2 A)) (tptp.g1_orders_2 (tptp.u1_struct_0 B) (tptp.u1_orders_2 B))) (forall ((C $$unsorted)) (=> (and (not (tptp.v1_xboole_0 C)) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (forall ((D $$unsorted)) (=> (and (not (tptp.v1_xboole_0 D)) (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B)))) (forall ((E $$unsorted)) (let ((_let_1 (tptp.k3_yellow_1 C))) (=> (and (not (tptp.v1_xboole_0 E)) (tptp.v2_waybel_0 E _let_1) (tptp.v13_waybel_0 E _let_1) (tptp.m1_subset_1 E (tptp.k1_zfmisc_1 (tptp.u1_struct_0 _let_1)))) (forall ((F $$unsorted)) (let ((_let_1 (tptp.k3_yellow_1 D))) (=> (and (not (tptp.v1_xboole_0 F)) (tptp.v2_waybel_0 F _let_1) (tptp.v13_waybel_0 F _let_1) (tptp.m1_subset_1 F (tptp.k1_zfmisc_1 (tptp.u1_struct_0 _let_1)))) (=> (= E F) (= (tptp.k1_waybel33 A C E) (tptp.k1_waybel33 B D F)))))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_waybel_9 A)) (= (tptp.v1_waybel33 A) (= (tptp.u1_pre_topc A) (tptp.k4_waybel28 A))))) (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.l1_struct_0 B)) (=> (= (tptp.u1_struct_0 A) (tptp.u1_struct_0 B)) (forall ((C $$unsorted)) (=> (tptp.l1_waybel_0 C A) (exists ((D $$unsorted)) (and (tptp.v6_waybel_0 D B) (tptp.l1_waybel_0 D B) (= (tptp.g1_orders_2 (tptp.u1_struct_0 C) (tptp.u1_orders_2 C)) (tptp.g1_orders_2 (tptp.u1_struct_0 D) (tptp.u1_orders_2 D))) (= (tptp.u1_waybel_0 A C) (tptp.u1_waybel_0 B 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.l1_struct_0 B)) (=> (= (tptp.u1_struct_0 A) (tptp.u1_struct_0 B)) (forall ((C $$unsorted)) (=> (tptp.l1_waybel_0 C A) (not (and (tptp.r2_hidden C (tptp.k7_yellow_6 A)) (forall ((D $$unsorted)) (=> (and (not (tptp.v3_struct_0 D)) (tptp.v3_orders_2 D) (tptp.v6_waybel_0 D B) (tptp.v7_waybel_0 D) (tptp.l1_waybel_0 D B)) (not (and (tptp.r2_hidden D (tptp.k7_yellow_6 B)) (= (tptp.g1_orders_2 (tptp.u1_struct_0 C) (tptp.u1_orders_2 C)) (tptp.g1_orders_2 (tptp.u1_struct_0 D) (tptp.u1_orders_2 D))) (= (tptp.u1_waybel_0 A C) (tptp.u1_waybel_0 B D))))))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v24_waybel_0 A) (tptp.v25_waybel_0 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.v24_waybel_0 B) (tptp.v25_waybel_0 B) (tptp.v2_lattice3 B) (tptp.l1_orders_2 B)) (=> (= (tptp.g1_orders_2 (tptp.u1_struct_0 A) (tptp.u1_orders_2 A)) (tptp.g1_orders_2 (tptp.u1_struct_0 B) (tptp.u1_orders_2 B))) (forall ((C $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.v3_orders_2 C) (tptp.v7_waybel_0 C) (tptp.l1_waybel_0 C A)) (forall ((D $$unsorted)) (=> (and (not (tptp.v3_struct_0 D)) (tptp.v3_orders_2 D) (tptp.v7_waybel_0 D) (tptp.l1_waybel_0 D B)) (=> (and (= (tptp.g1_orders_2 (tptp.u1_struct_0 C) (tptp.u1_orders_2 C)) (tptp.g1_orders_2 (tptp.u1_struct_0 D) (tptp.u1_orders_2 D))) (= (tptp.u1_waybel_0 A C) (tptp.u1_waybel_0 B D))) (= (tptp.k1_waybel11 A C) (tptp.k1_waybel11 B 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.l1_struct_0 B)) (=> (= (tptp.u1_struct_0 A) (tptp.u1_struct_0 B)) (forall ((C $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.v3_orders_2 C) (tptp.v7_waybel_0 C) (tptp.l1_waybel_0 C A)) (forall ((D $$unsorted)) (=> (and (not (tptp.v3_struct_0 D)) (tptp.v3_orders_2 D) (tptp.v7_waybel_0 D) (tptp.l1_waybel_0 D B)) (=> (and (= (tptp.g1_orders_2 (tptp.u1_struct_0 C) (tptp.u1_orders_2 C)) (tptp.g1_orders_2 (tptp.u1_struct_0 D) (tptp.u1_orders_2 D))) (= (tptp.u1_waybel_0 A C) (tptp.u1_waybel_0 B D))) (forall ((E $$unsorted)) (=> (tptp.m2_yellow_6 E A C) (exists ((F $$unsorted)) (and (tptp.v6_waybel_0 F B) (tptp.m2_yellow_6 F B D) (= (tptp.g1_orders_2 (tptp.u1_struct_0 E) (tptp.u1_orders_2 E)) (tptp.g1_orders_2 (tptp.u1_struct_0 F) (tptp.u1_orders_2 F))) (= (tptp.u1_waybel_0 A E) (tptp.u1_waybel_0 B F)))))))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v24_waybel_0 A) (tptp.v25_waybel_0 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.v24_waybel_0 B) (tptp.v25_waybel_0 B) (tptp.v2_lattice3 B) (tptp.l1_orders_2 B)) (=> (= (tptp.g1_orders_2 (tptp.u1_struct_0 A) (tptp.u1_orders_2 A)) (tptp.g1_orders_2 (tptp.u1_struct_0 B) (tptp.u1_orders_2 B))) (forall ((C $$unsorted)) (=> (tptp.l1_waybel_0 C A) (forall ((D $$unsorted)) (not (and (tptp.r2_hidden (tptp.k4_tarski C D) (tptp.k3_waybel28 A)) (forall ((E $$unsorted)) (=> (and (not (tptp.v3_struct_0 E)) (tptp.v3_orders_2 E) (tptp.v6_waybel_0 E B) (tptp.v7_waybel_0 E) (tptp.l1_waybel_0 E B)) (not (and (tptp.r2_hidden (tptp.k4_tarski E D) (tptp.k3_waybel28 B)) (= (tptp.g1_orders_2 (tptp.u1_struct_0 C) (tptp.u1_orders_2 C)) (tptp.g1_orders_2 (tptp.u1_struct_0 E) (tptp.u1_orders_2 E))) (= (tptp.u1_waybel_0 A C) (tptp.u1_waybel_0 B E)))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_struct_0 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.l1_struct_0 B)) (forall ((C $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.l1_waybel_0 C A)) (forall ((D $$unsorted)) (=> (and (not (tptp.v3_struct_0 D)) (tptp.l1_waybel_0 D B)) (=> (and (= (tptp.g1_orders_2 (tptp.u1_struct_0 C) (tptp.u1_orders_2 C)) (tptp.g1_orders_2 (tptp.u1_struct_0 D) (tptp.u1_orders_2 D))) (= (tptp.u1_waybel_0 A C) (tptp.u1_waybel_0 B D))) (forall ((E $$unsorted)) (=> (tptp.r1_waybel_0 A C E) (tptp.r1_waybel_0 B D E)))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v24_waybel_0 A) (tptp.v25_waybel_0 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.v24_waybel_0 B) (tptp.v25_waybel_0 B) (tptp.v2_lattice3 B) (tptp.l1_orders_2 B)) (=> (= (tptp.g1_orders_2 (tptp.u1_struct_0 A) (tptp.u1_orders_2 A)) (tptp.g1_orders_2 (tptp.u1_struct_0 B) (tptp.u1_orders_2 B))) (= (tptp.k14_yellow_6 A (tptp.k3_waybel28 A)) (tptp.k14_yellow_6 B (tptp.k3_waybel28 B)))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v24_waybel_0 A) (tptp.v25_waybel_0 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.v24_waybel_0 B) (tptp.v25_waybel_0 B) (tptp.v2_lattice3 B) (tptp.l1_orders_2 B)) (=> (= (tptp.g1_orders_2 (tptp.u1_struct_0 A) (tptp.u1_orders_2 A)) (tptp.g1_orders_2 (tptp.u1_struct_0 B) (tptp.u1_orders_2 B))) (= (tptp.k4_waybel28 A) (tptp.k4_waybel28 B))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v24_waybel_0 A) (tptp.v25_waybel_0 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_waybel33 B) (tptp.m1_yellow_9 B A)) (= (tptp.k4_waybel28 A) (tptp.u1_pre_topc B)))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v24_waybel_0 A) (tptp.v25_waybel_0 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_waybel_9 B) (tptp.m1_yellow_9 B A)) (= (= B (tptp.k2_waybel33 A)) (tptp.v1_waybel33 B)))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k3_yellow_1 (tptp.k2_pre_topc A)))) (let ((_let_2 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 _let_1)))) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.v2_waybel_0 B _let_1) (tptp.v13_waybel_0 B _let_1) (tptp.v1_tex_2 B _let_2) (tptp.m1_subset_1 B _let_2)) (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)) (let ((_let_1 (tptp.k3_yellow19 A (tptp.k2_pre_topc A) B))) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 _let_1)) (=> (= (tptp.k2_mcart_1 D) C) (= (tptp.k2_yellow_0 A C) (tptp.k2_waybel_9 A (tptp.k6_waybel_9 A _let_1 D)))))))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k2_pre_topc A))) (let ((_let_2 (tptp.k3_yellow_1 _let_1))) (let ((_let_3 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 _let_2)))) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.v2_waybel_0 B _let_2) (tptp.v13_waybel_0 B _let_2) (tptp.v1_tex_2 B _let_3) (tptp.m1_subset_1 B _let_3)) (= (tptp.k1_waybel33 A _let_1 B) (tptp.k1_waybel11 A (tptp.k3_yellow19 A _let_1 B)))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k2_pre_topc A))) (let ((_let_2 (tptp.k3_yellow_1 _let_1))) (let ((_let_3 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 _let_2)))) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.v2_waybel_0 B _let_2) (tptp.v13_waybel_0 B _let_2) (tptp.v1_tex_2 B _let_3) (tptp.m1_subset_1 B _let_3)) (tptp.r2_hidden (tptp.k3_yellow19 A _let_1 B) (tptp.k7_yellow_6 A))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k3_yellow_1 (tptp.k2_pre_topc A)))) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.v2_waybel_0 B _let_1) (tptp.v13_waybel_0 B _let_1) (tptp.v3_waybel_7 B _let_1) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 _let_1)))) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k2_pre_topc A))) (let ((_let_2 (tptp.k3_yellow19 A _let_1 B))) (let ((_let_3 (tptp.u1_struct_0 _let_2))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_3 _let_3) (tptp.v1_waybel28 C _let_2) (tptp.m2_relset_1 C _let_3 _let_3)) (tptp.r1_orders_2 A (tptp.k2_waybel_9 A (tptp.k2_waybel28 A _let_2 C)) (tptp.k1_waybel33 A _let_1 B)))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k3_yellow_1 (tptp.k2_pre_topc A)))) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.v2_waybel_0 B _let_1) (tptp.v13_waybel_0 B _let_1) (tptp.v3_waybel_7 B _let_1) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 _let_1)))) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k2_pre_topc A))) (=> (tptp.m2_yellow_6 C A (tptp.k3_yellow19 A _let_1 B)) (= (tptp.k1_waybel33 A _let_1 B) (tptp.k1_waybel11 A C)))))))))) (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.v3_orders_2 B) (tptp.v7_waybel_0 B) (tptp.l1_waybel_0 B A)) (forall ((C $$unsorted)) (not (and (tptp.r2_waybel_0 A B C) (forall ((D $$unsorted)) (=> (and (tptp.v6_waybel_0 D A) (tptp.m2_yellow_6 D A B)) (not (and (tptp.r1_tarski (tptp.k8_yellow_2 (tptp.u1_struct_0 D) A (tptp.u1_waybel_0 A D)) C) (tptp.m1_yellow_6 D A B)))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_lattice3 A) (tptp.v1_waybel33 A) (tptp.l1_waybel_9 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (= (tptp.v4_pre_topc B A) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k2_pre_topc A))) (let ((_let_2 (tptp.k3_yellow_1 _let_1))) (=> (and (not (tptp.v1_xboole_0 C)) (tptp.v2_waybel_0 C _let_2) (tptp.v13_waybel_0 C _let_2) (tptp.v3_waybel_7 C _let_2) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 _let_2)))) (=> (tptp.r2_hidden B C) (tptp.r2_hidden (tptp.k1_waybel33 A _let_1 C) B))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.l1_orders_2 A)) (tptp.r1_tarski (tptp.k5_waybel11 A) (tptp.k4_waybel28 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 $$unsorted)) (let ((_let_1 (tptp.u1_pre_topc B))) (=> (tptp.m2_cantor_1 C A) (=> (and (tptp.r1_tarski C _let_1) (tptp.r2_hidden (tptp.u1_struct_0 A) _let_1)) (tptp.r1_tarski (tptp.u1_pre_topc A) _let_1))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_lattice3 A) (tptp.l1_orders_2 A)) (tptp.r1_tarski (tptp.k1_waybel19 A) (tptp.k4_waybel28 A)))) (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 $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.v2_pre_topc C) (tptp.l1_pre_topc C)) (=> (and (tptp.m2_yellow_9 C A) (tptp.m2_yellow_9 C B)) (forall ((D $$unsorted)) (=> (tptp.m3_yellow_9 D A B) (tptp.m2_yellow_9 C D)))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m2_yellow_9 B A) (forall ((C $$unsorted)) (let ((_let_1 (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B))))) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (and (=> (tptp.v3_pre_topc C A) (and (tptp.v3_pre_topc C B) _let_1)) (=> (tptp.v4_pre_topc C A) (and (tptp.v4_pre_topc C B) _let_1)))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_lattice3 A) (tptp.l1_orders_2 A)) (tptp.r1_tarski (tptp.k2_waybel19 A) (tptp.k4_waybel28 A)))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_waybel33 B) (tptp.m1_yellow_9 B A)) (forall ((C $$unsorted)) (=> (and (tptp.v2_pre_topc C) (tptp.v2_waybel19 C) (tptp.m1_yellow_9 C A)) (tptp.m2_yellow_9 B C))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_lattice3 A) (tptp.v1_waybel33 A) (tptp.l1_waybel_9 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k2_pre_topc A))) (let ((_let_2 (tptp.k3_yellow_1 _let_1))) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.v2_waybel_0 B _let_2) (tptp.v13_waybel_0 B _let_2) (tptp.v3_waybel_7 B _let_2) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 _let_2)))) (tptp.r2_waybel_7 A B (tptp.k1_waybel33 A _let_1 B)))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_lattice3 A) (tptp.v1_waybel33 A) (tptp.l1_waybel_9 A)) (and (tptp.v2_compts_1 A) (tptp.v1_urysohn1 A)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.k3_yellow_1 B))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.l1_orders_2 A) (not (tptp.v1_xboole_0 B)) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 _let_1)) (not (tptp.v1_xboole_0 C)) (tptp.v2_waybel_0 C _let_2) (tptp.v13_waybel_0 C _let_2) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 _let_2)))) (tptp.m1_subset_1 (tptp.k1_waybel33 A B C) _let_1))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k2_waybel33 A))) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v24_waybel_0 A) (tptp.v25_waybel_0 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 A)) (and (tptp.v1_waybel_9 _let_1) (tptp.m1_yellow_9 _let_1 A))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k3_yellow_1 B))) (=> (and (not (tptp.v1_xboole_0 C)) (tptp.v2_waybel_0 C _let_1) (tptp.v13_waybel_0 C _let_1) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 _let_1)))) (= (tptp.k1_waybel33 A B C) (tptp.k1_yellow_0 A (tptp.a_3_0_waybel33 A B C)))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_orders_2 B) (tptp.v7_waybel_0 B) (tptp.l1_waybel_0 B A)) (= (tptp.k1_waybel11 A B) (tptp.k1_yellow_0 A (tptp.a_2_0_waybel33 A B))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k3_yellow_1 C))) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.l1_orders_2 B) (not (tptp.v1_xboole_0 C)) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B))) (not (tptp.v1_xboole_0 D)) (tptp.v2_waybel_0 D _let_1) (tptp.v13_waybel_0 D _let_1) (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 _let_1)))) (= (tptp.r2_hidden A (tptp.a_3_0_waybel33 B C D)) (exists ((E $$unsorted)) (and (tptp.m1_subset_1 E (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B))) (= A (tptp.k2_yellow_0 B E)) (tptp.r2_hidden E D))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.v1_lattice3 B) (tptp.v2_lattice3 B) (tptp.v3_lattice3 B) (tptp.l1_orders_2 B) (not (tptp.v3_struct_0 C)) (tptp.v3_orders_2 C) (tptp.v7_waybel_0 C) (tptp.l1_waybel_0 C B)) (= (tptp.r2_hidden A (tptp.a_2_0_waybel33 B C)) (exists ((D $$unsorted)) (and (tptp.m1_subset_1 D (tptp.u1_struct_0 C)) (= A (tptp.k2_waybel_9 B (tptp.k6_waybel_9 B C D)))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k1_binop_1 A B C))) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_funcop_1 A)) (and (tptp.v1_relat_1 _let_1) (tptp.v1_funct_1 _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k10_functor0 A B))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_altcat_1 A) (tptp.v11_altcat_1 A) (tptp.v12_altcat_1 A) (tptp.l2_altcat_1 A) (not (tptp.v3_struct_0 B)) (tptp.v2_altcat_1 B) (tptp.v3_altcat_2 B A) (tptp.m1_altcat_2 B A)) (and (tptp.v6_functor0 _let_1 B A) (tptp.v8_functor0 _let_1 B A) (tptp.v9_functor0 _let_1 B A) (tptp.v10_functor0 _let_1 B A) (tptp.v12_functor0 _let_1 B A) (tptp.v13_functor0 _let_1 B A))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k10_functor0 A B))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_altcat_1 A) (tptp.v11_altcat_1 A) (tptp.v12_altcat_1 A) (tptp.l2_altcat_1 A) (not (tptp.v3_struct_0 B)) (tptp.v2_altcat_1 B) (tptp.v3_altcat_2 B A) (tptp.m1_altcat_2 B A)) (and (tptp.v6_functor0 _let_1 B A) (tptp.v8_functor0 _let_1 B A) (tptp.v9_functor0 _let_1 B A) (tptp.v10_functor0 _let_1 B A) (tptp.v12_functor0 _let_1 B A) (tptp.v13_functor0 _let_1 B A))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_altcat_1 A) (tptp.v12_altcat_1 A) (tptp.l2_altcat_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_altcat_1 B) (tptp.v12_altcat_1 B) (tptp.l2_altcat_1 B)) (forall ((C $$unsorted)) (=> (and (tptp.v6_functor0 C A B) (tptp.v8_functor0 C A B) (tptp.l2_functor0 C A B)) (=> (and (tptp.v7_functor0 C A B) (tptp.v21_functor0 C A B)) (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)) (= (= (tptp.k3_functor0 A B C D) E) (= (tptp.k3_functor0 B A (tptp.k15_functor0 A B C) E) D))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_altcat_1 A) (tptp.v12_altcat_1 A) (tptp.l2_altcat_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_altcat_1 B) (tptp.v12_altcat_1 B) (tptp.l2_altcat_1 B)) (forall ((C $$unsorted)) (=> (and (tptp.v8_functor0 C A B) (tptp.v10_functor0 C A B) (tptp.l2_functor0 C A B)) (forall ((D $$unsorted)) (=> (and (tptp.v8_functor0 D B A) (tptp.v10_functor0 D B A) (tptp.l2_functor0 D B A)) (=> (and (tptp.v21_functor0 C A B) (= D (tptp.k15_functor0 A B C))) (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 (= (tptp.k1_altcat_1 A E F) tptp.k1_xboole_0)) (forall ((G $$unsorted)) (=> (tptp.m1_subset_1 G (tptp.k1_altcat_1 A E F)) (forall ((H $$unsorted)) (let ((_let_1 (tptp.k3_functor0 A B C F))) (let ((_let_2 (tptp.k3_functor0 A B C E))) (=> (tptp.m1_subset_1 H (tptp.k1_altcat_1 B _let_2 _let_1)) (= (= (tptp.k6_functor0 A B C E F G) H) (= (tptp.k6_functor0 B A D _let_2 _let_1 H) G)))))))))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_altcat_1 A) (tptp.v12_altcat_1 A) (tptp.l2_altcat_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_altcat_1 B) (tptp.v12_altcat_1 B) (tptp.l2_altcat_1 B)) (forall ((C $$unsorted)) (=> (and (tptp.v8_functor0 C A B) (tptp.v11_functor0 C A B) (tptp.l2_functor0 C A B)) (forall ((D $$unsorted)) (=> (and (tptp.v8_functor0 D B A) (tptp.v11_functor0 D B A) (tptp.l2_functor0 D B A)) (=> (and (tptp.v21_functor0 C A B) (= D (tptp.k15_functor0 A B C))) (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 (= (tptp.k1_altcat_1 A E F) tptp.k1_xboole_0)) (forall ((G $$unsorted)) (=> (tptp.m1_subset_1 G (tptp.k1_altcat_1 A E F)) (forall ((H $$unsorted)) (let ((_let_1 (tptp.k3_functor0 A B C E))) (let ((_let_2 (tptp.k3_functor0 A B C F))) (=> (tptp.m1_subset_1 H (tptp.k1_altcat_1 B _let_2 _let_1)) (= (= (tptp.k8_functor0 A B C E F G) H) (= (tptp.k8_functor0 B A D _let_2 _let_1 H) G)))))))))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_altcat_1 A) (tptp.v11_altcat_1 A) (tptp.v12_altcat_1 A) (tptp.l2_altcat_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_altcat_1 B) (tptp.v11_altcat_1 B) (tptp.v12_altcat_1 B) (tptp.l2_altcat_1 B)) (forall ((C $$unsorted)) (=> (tptp.m2_functor0 C A B) (=> (tptp.v21_functor0 C A B) (forall ((D $$unsorted)) (=> (tptp.m2_functor0 D B A) (=> (= (tptp.k13_functor0 B A B D C) (tptp.k12_functor0 B)) (= (tptp.g2_functor0 B A (tptp.u1_functor0 B A D) (tptp.u2_functor0 B A D)) (tptp.k15_functor0 A B C)))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_altcat_1 A) (tptp.v11_altcat_1 A) (tptp.v12_altcat_1 A) (tptp.l2_altcat_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_altcat_1 B) (tptp.v11_altcat_1 B) (tptp.v12_altcat_1 B) (tptp.l2_altcat_1 B)) (forall ((C $$unsorted)) (=> (tptp.m2_functor0 C A B) (=> (tptp.v21_functor0 C A B) (forall ((D $$unsorted)) (=> (tptp.m2_functor0 D B A) (=> (= (tptp.k13_functor0 A B A C D) (tptp.k12_functor0 A)) (= (tptp.g2_functor0 B A (tptp.u1_functor0 B A D) (tptp.u2_functor0 B A D)) (tptp.k15_functor0 A B C)))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_altcat_1 A) (tptp.v11_altcat_1 A) (tptp.v12_altcat_1 A) (tptp.l2_altcat_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_altcat_1 B) (tptp.v11_altcat_1 B) (tptp.v12_altcat_1 B) (tptp.l2_altcat_1 B)) (forall ((C $$unsorted)) (=> (and (tptp.v15_functor0 C A B) (tptp.m2_functor0 C A B)) (=> (tptp.v21_functor0 C A B) (forall ((D $$unsorted)) (=> (and (tptp.v15_functor0 D B A) (tptp.m2_functor0 D B A)) (=> (and (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.u1_struct_0 B)) (= (tptp.k3_functor0 A B C (tptp.k3_functor0 B A D E)) E))) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.u1_struct_0 B)) (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F (tptp.u1_struct_0 B)) (=> (not (= (tptp.k1_altcat_1 B E F) tptp.k1_xboole_0)) (forall ((G $$unsorted)) (=> (tptp.m1_subset_1 G (tptp.k1_altcat_1 B E F)) (= (tptp.k6_functor0 A B C (tptp.k3_functor0 B A D E) (tptp.k3_functor0 B A D F) (tptp.k6_functor0 B A D E F G)) G))))))))) (= (tptp.g2_functor0 B A (tptp.u1_functor0 B A D) (tptp.u2_functor0 B A D)) (tptp.k15_functor0 A B C)))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_altcat_1 A) (tptp.v11_altcat_1 A) (tptp.v12_altcat_1 A) (tptp.l2_altcat_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_altcat_1 B) (tptp.v11_altcat_1 B) (tptp.v12_altcat_1 B) (tptp.l2_altcat_1 B)) (forall ((C $$unsorted)) (=> (and (tptp.v16_functor0 C A B) (tptp.m2_functor0 C A B)) (=> (tptp.v21_functor0 C A B) (forall ((D $$unsorted)) (=> (and (tptp.v16_functor0 D B A) (tptp.m2_functor0 D B A)) (=> (and (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.u1_struct_0 B)) (= (tptp.k3_functor0 A B C (tptp.k3_functor0 B A D E)) E))) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.u1_struct_0 B)) (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F (tptp.u1_struct_0 B)) (=> (not (= (tptp.k1_altcat_1 B E F) tptp.k1_xboole_0)) (forall ((G $$unsorted)) (=> (tptp.m1_subset_1 G (tptp.k1_altcat_1 B E F)) (= (tptp.k8_functor0 A B C (tptp.k3_functor0 B A D F) (tptp.k3_functor0 B A D E) (tptp.k8_functor0 B A D E F G)) G))))))))) (= (tptp.g2_functor0 B A (tptp.u1_functor0 B A D) (tptp.u2_functor0 B A D)) (tptp.k15_functor0 A B C)))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_altcat_1 A) (tptp.v11_altcat_1 A) (tptp.v12_altcat_1 A) (tptp.l2_altcat_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_altcat_1 B) (tptp.v11_altcat_1 B) (tptp.v12_altcat_1 B) (tptp.l2_altcat_1 B)) (forall ((C $$unsorted)) (=> (and (tptp.v15_functor0 C A B) (tptp.m2_functor0 C A B)) (=> (tptp.v21_functor0 C A B) (forall ((D $$unsorted)) (=> (and (tptp.v15_functor0 D B A) (tptp.m2_functor0 D B A)) (=> (and (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.u1_struct_0 A)) (= (tptp.k3_functor0 B A D (tptp.k3_functor0 A B C E)) E))) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.u1_struct_0 A)) (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F (tptp.u1_struct_0 A)) (=> (not (= (tptp.k1_altcat_1 A E F) tptp.k1_xboole_0)) (forall ((G $$unsorted)) (=> (tptp.m1_subset_1 G (tptp.k1_altcat_1 A E F)) (= (tptp.k6_functor0 B A D (tptp.k3_functor0 A B C E) (tptp.k3_functor0 A B C F) (tptp.k6_functor0 A B C E F G)) G))))))))) (= (tptp.g2_functor0 B A (tptp.u1_functor0 B A D) (tptp.u2_functor0 B A D)) (tptp.k15_functor0 A B C)))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_altcat_1 A) (tptp.v11_altcat_1 A) (tptp.v12_altcat_1 A) (tptp.l2_altcat_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_altcat_1 B) (tptp.v11_altcat_1 B) (tptp.v12_altcat_1 B) (tptp.l2_altcat_1 B)) (forall ((C $$unsorted)) (=> (and (tptp.v16_functor0 C A B) (tptp.m2_functor0 C A B)) (=> (tptp.v21_functor0 C A B) (forall ((D $$unsorted)) (=> (and (tptp.v16_functor0 D B A) (tptp.m2_functor0 D B A)) (=> (and (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.u1_struct_0 A)) (= (tptp.k3_functor0 B A D (tptp.k3_functor0 A B C E)) E))) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.u1_struct_0 A)) (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F (tptp.u1_struct_0 A)) (=> (not (= (tptp.k1_altcat_1 A E F) tptp.k1_xboole_0)) (forall ((G $$unsorted)) (=> (tptp.m1_subset_1 G (tptp.k1_altcat_1 A E F)) (= (tptp.k8_functor0 B A D (tptp.k3_functor0 A B C F) (tptp.k3_functor0 A B C E) (tptp.k8_functor0 A B C E F G)) G))))))))) (= (tptp.g2_functor0 B A (tptp.u1_functor0 B A D) (tptp.u2_functor0 B A D)) (tptp.k15_functor0 A B C)))))))))))) (forall ((A $$unsorted)) (=> (tptp.l2_altcat_1 A) (forall ((B $$unsorted)) (=> (tptp.l2_altcat_1 B) (= (tptp.r1_yellow20 A B) (forall ((C $$unsorted) (D $$unsorted) (E $$unsorted)) (let ((_let_1 (tptp.k3_mcart_1 C D E))) (tptp.r1_partfun1 (tptp.k1_funct_1 (tptp.u2_altcat_1 A) _let_1) (tptp.k1_funct_1 (tptp.u2_altcat_1 B) _let_1))))))))) (forall ((A $$unsorted)) (=> (tptp.l2_altcat_1 A) (forall ((B $$unsorted)) (=> (tptp.l2_altcat_1 B) (= (tptp.r1_yellow20 A B) (forall ((C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted)) (let ((_let_1 (tptp.k3_mcart_1 C D E))) (let ((_let_2 (tptp.k1_funct_1 (tptp.u2_altcat_1 B) _let_1))) (let ((_let_3 (tptp.k1_funct_1 (tptp.u2_altcat_1 A) _let_1))) (=> (and (tptp.r2_hidden F (tptp.k1_relat_1 _let_3)) (tptp.r2_hidden F (tptp.k1_relat_1 _let_2))) (= (tptp.k1_funct_1 _let_3 F) (tptp.k1_funct_1 _let_2 F)))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_altcat_1 A) (tptp.l2_altcat_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_altcat_1 B) (tptp.l2_altcat_1 B)) (= (tptp.r1_yellow20 A B) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.u1_struct_0 A)) (not (and (not (= (tptp.k1_altcat_1 A C D) tptp.k1_xboole_0)) (not (= (tptp.k1_altcat_1 A D E) tptp.k1_xboole_0)) (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)) (exists ((H $$unsorted)) (and (tptp.m1_subset_1 H (tptp.u1_struct_0 B)) (not (= (tptp.k1_altcat_1 B F G) tptp.k1_xboole_0)) (not (= (tptp.k1_altcat_1 B G H) tptp.k1_xboole_0)) (= F C) (= G D) (= H E) (exists ((I $$unsorted)) (and (tptp.m1_subset_1 I (tptp.k1_altcat_1 A C D)) (exists ((J $$unsorted)) (and (tptp.m1_subset_1 J (tptp.k1_altcat_1 B F G)) (= J I) (exists ((K $$unsorted)) (and (tptp.m1_subset_1 K (tptp.k1_altcat_1 A D E)) (exists ((L $$unsorted)) (and (tptp.m1_subset_1 L (tptp.k1_altcat_1 B G H)) (= L K) (not (= (tptp.k5_altcat_1 A C D E I K) (tptp.k5_altcat_1 B F G H J L)))))))))))))))))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_altcat_1 A) (tptp.v9_altcat_1 A) (tptp.v11_altcat_1 A) (tptp.v12_altcat_1 A) (tptp.v2_yellow18 A) (tptp.l2_altcat_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_altcat_1 B) (tptp.v9_altcat_1 B) (tptp.v11_altcat_1 B) (tptp.v12_altcat_1 B) (tptp.v2_yellow18 B) (tptp.l2_altcat_1 B)) (tptp.r1_yellow20 A B))))) (forall ((A $$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)) (= (= C (tptp.k1_yellow20 A B)) (and (= (tptp.k1_relat_1 C) (tptp.k3_xboole_0 (tptp.k1_relat_1 A) (tptp.k1_relat_1 B))) (forall ((D $$unsorted)) (=> (tptp.r2_hidden D (tptp.k3_xboole_0 (tptp.k1_relat_1 A) (tptp.k1_relat_1 B))) (= (tptp.k1_funct_1 C D) (tptp.k3_xboole_0 (tptp.k1_funct_1 A D) (tptp.k1_funct_1 B D))))))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m1_pboole C A) (= (tptp.k1_yellow20 B C) (tptp.k3_pboole A B C)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.m1_pboole C A) (forall ((D $$unsorted)) (=> (tptp.m1_pboole D B) (tptp.m1_pboole (tptp.k1_yellow20 C D) (tptp.k3_xboole_0 A B)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.m1_pboole C A) (forall ((D $$unsorted)) (=> (and (tptp.v1_relat_1 D) (tptp.v1_funct_1 D)) (forall ((E $$unsorted)) (=> (tptp.m1_pboole E B) (=> (= E (tptp.k1_yellow20 C D)) (tptp.r2_altcat_2 B A E C)))))))) (forall ((A $$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 $$unsorted)) (let ((_let_1 (tptp.k3_xboole_0 B D))) (let ((_let_2 (tptp.k3_xboole_0 A C))) (let ((_let_3 (tptp.k3_xboole_0 E F))) (=> (and (tptp.v1_funct_1 F) (tptp.v1_funct_2 F C D) (tptp.m2_relset_1 F C D)) (=> (tptp.r1_partfun1 E F) (and (tptp.v1_funct_1 _let_3) (tptp.v1_funct_2 _let_3 _let_2 _let_1) (tptp.m2_relset_1 _let_3 _let_2 _let_1)))))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.m1_pboole C A) (forall ((D $$unsorted)) (=> (tptp.m1_pboole D A) (forall ((E $$unsorted)) (=> (tptp.m1_pboole E B) (forall ((F $$unsorted)) (=> (tptp.m1_pboole F B) (forall ((G $$unsorted)) (=> (tptp.m1_pboole G (tptp.k3_xboole_0 A B)) (forall ((H $$unsorted)) (=> (tptp.m1_pboole H (tptp.k3_xboole_0 A B)) (=> (and (= G (tptp.k1_yellow20 C E)) (= H (tptp.k1_yellow20 D F))) (forall ((I $$unsorted)) (=> (tptp.m3_pboole I A C D) (forall ((J $$unsorted)) (=> (tptp.m3_pboole J B E F) (=> (forall ((K $$unsorted)) (=> (and (tptp.r2_hidden K (tptp.k1_relat_1 I)) (tptp.r2_hidden K (tptp.k1_relat_1 J))) (tptp.r1_partfun1 (tptp.k1_funct_1 I K) (tptp.k1_funct_1 J K)))) (tptp.m3_pboole (tptp.k1_yellow20 I J) (tptp.k3_xboole_0 A B) G H))))))))))))))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.m1_pboole C (tptp.k2_zfmisc_1 A A)) (forall ((D $$unsorted)) (=> (tptp.m1_pboole D (tptp.k2_zfmisc_1 B B)) (exists ((E $$unsorted)) (let ((_let_1 (tptp.k3_xboole_0 A B))) (and (tptp.m1_pboole E (tptp.k2_zfmisc_1 _let_1 _let_1)) (= E (tptp.k1_yellow20 C D)) (= (tptp.k1_yellow20 (tptp.k2_altcat_1 A C) (tptp.k2_altcat_1 B D)) (tptp.k2_altcat_1 _let_1 E))))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.m1_pboole C (tptp.k2_zfmisc_1 A A)) (forall ((D $$unsorted)) (=> (tptp.m1_pboole D (tptp.k2_zfmisc_1 A A)) (forall ((E $$unsorted)) (=> (tptp.m1_pboole E (tptp.k2_zfmisc_1 B B)) (forall ((F $$unsorted)) (=> (tptp.m1_pboole F (tptp.k2_zfmisc_1 B B)) (exists ((G $$unsorted)) (let ((_let_1 (tptp.k3_xboole_0 A B))) (and (tptp.m1_pboole G (tptp.k2_zfmisc_1 _let_1 _let_1)) (exists ((H $$unsorted)) (let ((_let_1 (tptp.k3_xboole_0 A B))) (and (tptp.m1_pboole H (tptp.k2_zfmisc_1 _let_1 _let_1)) (= G (tptp.k1_yellow20 C E)) (= H (tptp.k1_yellow20 D F)) (= (tptp.k1_yellow20 (tptp.k3_altcat_1 A C D) (tptp.k3_altcat_1 B E F)) (tptp.k3_altcat_1 _let_1 G H)))))))))))))))) (forall ((A $$unsorted)) (=> (tptp.l2_altcat_1 A) (forall ((B $$unsorted)) (=> (tptp.l2_altcat_1 B) (=> (tptp.r1_yellow20 A B) (forall ((C $$unsorted)) (=> (and (tptp.v6_altcat_1 C) (tptp.l2_altcat_1 C)) (= (= C (tptp.k2_yellow20 A B)) (and (= (tptp.u1_struct_0 C) (tptp.k3_xboole_0 (tptp.u1_struct_0 A) (tptp.u1_struct_0 B))) (= (tptp.u1_altcat_1 C) (tptp.k1_yellow20 (tptp.u1_altcat_1 A) (tptp.u1_altcat_1 B))) (= (tptp.u2_altcat_1 C) (tptp.k1_yellow20 (tptp.u2_altcat_1 A) (tptp.u2_altcat_1 B)))))))))))) (forall ((A $$unsorted)) (=> (tptp.l2_altcat_1 A) (forall ((B $$unsorted)) (=> (tptp.l2_altcat_1 B) (=> (tptp.r1_yellow20 A B) (= (tptp.k2_yellow20 A B) (tptp.k2_yellow20 B A))))))) (forall ((A $$unsorted)) (=> (tptp.l2_altcat_1 A) (forall ((B $$unsorted)) (=> (tptp.l2_altcat_1 B) (=> (tptp.r1_yellow20 A B) (tptp.m1_altcat_2 (tptp.k2_yellow20 A B) A)))))) (forall ((A $$unsorted)) (=> (tptp.l2_altcat_1 A) (forall ((B $$unsorted)) (=> (tptp.l2_altcat_1 B) (=> (tptp.r1_yellow20 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)) (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)) (forall ((G $$unsorted)) (=> (tptp.m1_subset_1 G (tptp.u1_struct_0 (tptp.k2_yellow20 A B))) (forall ((H $$unsorted)) (let ((_let_1 (tptp.k2_yellow20 A B))) (=> (tptp.m1_subset_1 H (tptp.u1_struct_0 _let_1)) (=> (and (= G C) (= G E) (= H D) (= H F)) (= (tptp.k1_altcat_1 _let_1 G H) (tptp.k3_xboole_0 (tptp.k1_altcat_1 A C D) (tptp.k1_altcat_1 B E F)))))))))))))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_altcat_1 A) (tptp.l2_altcat_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v2_altcat_1 B) (tptp.l2_altcat_1 B)) (=> (tptp.r1_yellow20 A B) (tptp.v2_altcat_1 (tptp.k2_yellow20 A B))))))) (forall ((A $$unsorted)) (=> (tptp.l2_altcat_1 A) (forall ((B $$unsorted)) (=> (tptp.l2_altcat_1 B) (=> (tptp.r1_yellow20 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)) (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)) (forall ((G $$unsorted)) (=> (tptp.m1_subset_1 G (tptp.u1_struct_0 (tptp.k2_yellow20 A B))) (forall ((H $$unsorted)) (=> (tptp.m1_subset_1 H (tptp.u1_struct_0 (tptp.k2_yellow20 A B))) (=> (and (= G C) (= G E) (= H D) (= H F)) (or (= (tptp.k1_altcat_1 A C D) tptp.k1_xboole_0) (= (tptp.k1_altcat_1 B E F) tptp.k1_xboole_0) (forall ((I $$unsorted)) (=> (tptp.m1_subset_1 I (tptp.k1_altcat_1 A C D)) (forall ((J $$unsorted)) (=> (tptp.m1_subset_1 J (tptp.k1_altcat_1 B E F)) (=> (= I J) (tptp.r2_hidden I (tptp.k1_altcat_1 (tptp.k2_yellow20 A B) G H)))))))))))))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v12_altcat_1 A) (tptp.l2_altcat_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v12_altcat_1 B) (tptp.l2_altcat_1 B)) (=> (tptp.r1_yellow20 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 B)) (forall ((E $$unsorted)) (let ((_let_1 (tptp.k2_yellow20 A B))) (let ((_let_2 (tptp.k8_altcat_1 A C))) (=> (tptp.m1_subset_1 E (tptp.u1_struct_0 _let_1)) (=> (and (= E C) (= E D) (= _let_2 (tptp.k8_altcat_1 B D))) (tptp.r2_hidden _let_2 (tptp.k1_altcat_1 _let_1 E E)))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_altcat_1 A) (tptp.v11_altcat_1 A) (tptp.v12_altcat_1 A) (tptp.l2_altcat_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k2_yellow20 A B))) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_altcat_1 B) (tptp.v11_altcat_1 B) (tptp.v12_altcat_1 B) (tptp.l2_altcat_1 B)) (=> (and (tptp.r1_yellow20 A B) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 B)) (=> (= C D) (= (tptp.k8_altcat_1 A C) (tptp.k8_altcat_1 B D)))))))) (or (tptp.v3_struct_0 _let_1) (and (tptp.v2_altcat_1 _let_1) (tptp.v3_altcat_2 _let_1 A) (tptp.m1_altcat_2 _let_1 A))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l2_altcat_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.m1_altcat_2 B A)) (= (tptp.v2_altcat_2 B A) (forall ((C $$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 $$unsorted)) (=> (tptp.m1_subset_1 F (tptp.u1_struct_0 B)) (=> (and (= E C) (= F D)) (= (tptp.k1_altcat_1 B E F) (tptp.k1_altcat_1 A C D)))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_altcat_1 A) (tptp.v11_altcat_1 A) (tptp.v12_altcat_1 A) (tptp.l2_altcat_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_altcat_1 B) (tptp.v3_altcat_2 B A) (tptp.m1_altcat_2 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 B)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 B)) (=> (not (= (tptp.k1_altcat_1 B C D) tptp.k1_xboole_0)) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.k1_altcat_1 B C D)) (= (tptp.k6_functor0 B A (tptp.k10_functor0 A B) C D E) E)))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_altcat_1 A) (tptp.v11_altcat_1 A) (tptp.v12_altcat_1 A) (tptp.l2_altcat_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_altcat_1 B) (tptp.v11_altcat_1 B) (tptp.v12_altcat_1 B) (tptp.l2_altcat_1 B)) (forall ((C $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.v2_altcat_1 C) (tptp.v3_altcat_2 C A) (tptp.m1_altcat_2 C A)) (forall ((D $$unsorted)) (=> (tptp.l2_functor0 D A B) (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 C)) (=> (= F E) (= (tptp.k3_functor0 C B (tptp.k14_functor0 A B C D) F) (tptp.k3_functor0 A B D E))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_altcat_1 A) (tptp.v11_altcat_1 A) (tptp.v12_altcat_1 A) (tptp.l2_altcat_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_altcat_1 B) (tptp.v11_altcat_1 B) (tptp.v12_altcat_1 B) (tptp.l2_altcat_1 B)) (forall ((C $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.v2_altcat_1 C) (tptp.v3_altcat_2 C A) (tptp.m1_altcat_2 C A)) (forall ((D $$unsorted)) (=> (and (tptp.v15_functor0 D A B) (tptp.m2_functor0 D A B)) (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)) (forall ((G $$unsorted)) (=> (tptp.m1_subset_1 G (tptp.u1_struct_0 C)) (forall ((H $$unsorted)) (=> (tptp.m1_subset_1 H (tptp.u1_struct_0 C)) (=> (and (= G E) (= H F)) (or (= (tptp.k1_altcat_1 C G H) tptp.k1_xboole_0) (forall ((I $$unsorted)) (=> (tptp.m1_subset_1 I (tptp.k1_altcat_1 A E F)) (forall ((J $$unsorted)) (=> (tptp.m1_subset_1 J (tptp.k1_altcat_1 C G H)) (=> (= J I) (= (tptp.k6_functor0 C B (tptp.k4_yellow20 A B C D) G H J) (tptp.k6_functor0 A B D E F I))))))))))))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_altcat_1 A) (tptp.v11_altcat_1 A) (tptp.v12_altcat_1 A) (tptp.l2_altcat_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_altcat_1 B) (tptp.v11_altcat_1 B) (tptp.v12_altcat_1 B) (tptp.l2_altcat_1 B)) (forall ((C $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.v2_altcat_1 C) (tptp.v3_altcat_2 C A) (tptp.m1_altcat_2 C A)) (forall ((D $$unsorted)) (=> (and (tptp.v16_functor0 D A B) (tptp.m2_functor0 D A B)) (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)) (forall ((G $$unsorted)) (=> (tptp.m1_subset_1 G (tptp.u1_struct_0 C)) (forall ((H $$unsorted)) (=> (tptp.m1_subset_1 H (tptp.u1_struct_0 C)) (=> (and (= G E) (= H F)) (or (= (tptp.k1_altcat_1 C G H) tptp.k1_xboole_0) (forall ((I $$unsorted)) (=> (tptp.m1_subset_1 I (tptp.k1_altcat_1 A E F)) (forall ((J $$unsorted)) (=> (tptp.m1_subset_1 J (tptp.k1_altcat_1 C G H)) (=> (= J I) (= (tptp.k8_functor0 C B (tptp.k5_yellow20 A B C D) G H J) (tptp.k8_functor0 A B D E F I))))))))))))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_altcat_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.l1_altcat_1 B)) (forall ((C $$unsorted)) (=> (tptp.l1_functor0 C A B) (=> (and (tptp.v10_functor0 C A B) (tptp.v4_functor0 C A B)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.u1_struct_0 A)) (=> (= (tptp.k3_functor0 A B C D) (tptp.k3_functor0 A B C E)) (= D E))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v1_altcat_2 A) (tptp.l1_altcat_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v1_altcat_2 B) (tptp.l1_altcat_1 B)) (forall ((C $$unsorted)) (=> (and (tptp.v8_functor0 C A B) (tptp.v10_functor0 C A B) (tptp.l2_functor0 C A B)) (=> (tptp.v17_functor0 C A B) (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)) (=> (not (= (tptp.k1_altcat_1 A D E) tptp.k1_xboole_0)) (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F (tptp.k1_altcat_1 A D E)) (forall ((G $$unsorted)) (=> (tptp.m1_subset_1 G (tptp.k1_altcat_1 A D E)) (=> (= (tptp.k6_functor0 A B C D E F) (tptp.k6_functor0 A B C D E G)) (= F G)))))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_altcat_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.l1_altcat_1 B)) (forall ((C $$unsorted)) (=> (and (tptp.v10_functor0 C A B) (tptp.l2_functor0 C A B)) (=> (tptp.v20_functor0 C A B) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 B)) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.u1_struct_0 B)) (=> (not (= (tptp.k1_altcat_1 B D E) tptp.k1_xboole_0)) (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F (tptp.k1_altcat_1 B D E)) (exists ((G $$unsorted)) (and (tptp.m1_subset_1 G (tptp.u1_struct_0 A)) (exists ((H $$unsorted)) (and (tptp.m1_subset_1 H (tptp.u1_struct_0 A)) (exists ((I $$unsorted)) (let ((_let_1 (tptp.k1_altcat_1 A G H))) (and (tptp.m1_subset_1 I _let_1) (= D (tptp.k3_functor0 A B C G)) (= E (tptp.k3_functor0 A B C H)) (not (= _let_1 tptp.k1_xboole_0)) (= F (tptp.k6_functor0 A B C G H I))))))))))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_altcat_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.l1_altcat_1 B)) (forall ((C $$unsorted)) (=> (tptp.l1_functor0 C A B) (=> (and (tptp.v11_functor0 C A B) (tptp.v4_functor0 C A B)) (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_functor0 A B C D) (tptp.k3_functor0 A B C E)) (= D E))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v1_altcat_2 A) (tptp.l1_altcat_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v1_altcat_2 B) (tptp.l1_altcat_1 B)) (forall ((C $$unsorted)) (=> (and (tptp.v8_functor0 C A B) (tptp.v11_functor0 C A B) (tptp.l2_functor0 C A B)) (=> (tptp.v17_functor0 C A B) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.u1_struct_0 A)) (=> (not (= (tptp.k1_altcat_1 A D E) tptp.k1_xboole_0)) (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F (tptp.k1_altcat_1 A D E)) (forall ((G $$unsorted)) (=> (tptp.m1_subset_1 G (tptp.k1_altcat_1 A D E)) (=> (= (tptp.k8_functor0 A B C D E F) (tptp.k8_functor0 A B C D E G)) (= F G)))))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_altcat_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.l1_altcat_1 B)) (forall ((C $$unsorted)) (=> (and (tptp.v11_functor0 C A B) (tptp.l2_functor0 C A B)) (=> (tptp.v20_functor0 C A B) (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)) (=> (not (= (tptp.k1_altcat_1 B D E) tptp.k1_xboole_0)) (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F (tptp.k1_altcat_1 B D E)) (exists ((G $$unsorted)) (and (tptp.m1_subset_1 G (tptp.u1_struct_0 A)) (exists ((H $$unsorted)) (and (tptp.m1_subset_1 H (tptp.u1_struct_0 A)) (exists ((I $$unsorted)) (let ((_let_1 (tptp.k1_altcat_1 A G H))) (and (tptp.m1_subset_1 I _let_1) (= E (tptp.k3_functor0 A B C G)) (= D (tptp.k3_functor0 A B C H)) (not (= _let_1 tptp.k1_xboole_0)) (= F (tptp.k8_functor0 A B C G H I))))))))))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_altcat_1 A) (tptp.v11_altcat_1 A) (tptp.v12_altcat_1 A) (tptp.l2_altcat_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_altcat_1 B) (tptp.v11_altcat_1 B) (tptp.v12_altcat_1 B) (tptp.l2_altcat_1 B)) (forall ((C $$unsorted)) (=> (tptp.l2_functor0 C A B) (forall ((D $$unsorted)) (=> (and (not (tptp.v3_struct_0 D)) (tptp.v2_altcat_1 D) (tptp.v11_altcat_1 D) (tptp.v12_altcat_1 D) (tptp.l2_altcat_1 D)) (forall ((E $$unsorted)) (let ((_let_1 (tptp.v2_altcat_1 E))) (=> (and (not (tptp.v3_struct_0 E)) _let_1 (tptp.v11_altcat_1 E) (tptp.v12_altcat_1 E) (tptp.l2_altcat_1 E)) (= (tptp.r2_yellow20 A B C D E) (and (tptp.v2_altcat_1 D) (tptp.v3_altcat_2 D A) (tptp.m1_altcat_2 D A) _let_1 (tptp.v3_altcat_2 E B) (tptp.m1_altcat_2 E B) (exists ((F $$unsorted)) (and (tptp.v15_functor0 F D E) (tptp.m2_functor0 F D E) (tptp.v21_functor0 F D E) (forall ((G $$unsorted)) (=> (tptp.m1_subset_1 G (tptp.u1_struct_0 D)) (forall ((H $$unsorted)) (=> (tptp.m1_subset_1 H (tptp.u1_struct_0 A)) (=> (= G H) (= (tptp.k3_functor0 D E F G) (tptp.k3_functor0 A B C H))))))) (forall ((G $$unsorted)) (=> (tptp.m1_subset_1 G (tptp.u1_struct_0 D)) (forall ((H $$unsorted)) (=> (tptp.m1_subset_1 H (tptp.u1_struct_0 D)) (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 (= G I) (= H J)) (or (= (tptp.k1_altcat_1 D G H) tptp.k1_xboole_0) (forall ((K $$unsorted)) (=> (tptp.m1_subset_1 K (tptp.k1_altcat_1 D G H)) (forall ((L $$unsorted)) (=> (tptp.m1_subset_1 L (tptp.k1_altcat_1 A I J)) (=> (= K L) (= (tptp.k6_functor0 D E F G H K) (tptp.k1_funct_1 (tptp.k4_functor0 A B C I J) L)))))))))))))))))))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_altcat_1 A) (tptp.v11_altcat_1 A) (tptp.v12_altcat_1 A) (tptp.l2_altcat_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_altcat_1 B) (tptp.v11_altcat_1 B) (tptp.v12_altcat_1 B) (tptp.l2_altcat_1 B)) (forall ((C $$unsorted)) (=> (tptp.l2_functor0 C A B) (forall ((D $$unsorted)) (=> (and (not (tptp.v3_struct_0 D)) (tptp.v2_altcat_1 D) (tptp.v11_altcat_1 D) (tptp.v12_altcat_1 D) (tptp.l2_altcat_1 D)) (forall ((E $$unsorted)) (let ((_let_1 (tptp.v2_altcat_1 E))) (=> (and (not (tptp.v3_struct_0 E)) _let_1 (tptp.v11_altcat_1 E) (tptp.v12_altcat_1 E) (tptp.l2_altcat_1 E)) (= (tptp.r3_yellow20 A B C D E) (and (tptp.v2_altcat_1 D) (tptp.v3_altcat_2 D A) (tptp.m1_altcat_2 D A) _let_1 (tptp.v3_altcat_2 E B) (tptp.m1_altcat_2 E B) (exists ((F $$unsorted)) (and (tptp.v16_functor0 F D E) (tptp.m2_functor0 F D E) (tptp.v21_functor0 F D E) (forall ((G $$unsorted)) (=> (tptp.m1_subset_1 G (tptp.u1_struct_0 D)) (forall ((H $$unsorted)) (=> (tptp.m1_subset_1 H (tptp.u1_struct_0 A)) (=> (= G H) (= (tptp.k3_functor0 D E F G) (tptp.k3_functor0 A B C H))))))) (forall ((G $$unsorted)) (=> (tptp.m1_subset_1 G (tptp.u1_struct_0 D)) (forall ((H $$unsorted)) (=> (tptp.m1_subset_1 H (tptp.u1_struct_0 D)) (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 (= G I) (= H J)) (or (= (tptp.k1_altcat_1 D G H) tptp.k1_xboole_0) (forall ((K $$unsorted)) (=> (tptp.m1_subset_1 K (tptp.k1_altcat_1 D G H)) (forall ((L $$unsorted)) (=> (tptp.m1_subset_1 L (tptp.k1_altcat_1 A I J)) (=> (= K L) (= (tptp.k8_functor0 D E F G H K) (tptp.k1_funct_1 (tptp.k4_functor0 A B C I J) L)))))))))))))))))))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_altcat_1 A) (tptp.v11_altcat_1 A) (tptp.v12_altcat_1 A) (tptp.l2_altcat_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_altcat_1 B) (tptp.v11_altcat_1 B) (tptp.v12_altcat_1 B) (tptp.l2_altcat_1 B)) (forall ((C $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.v2_altcat_1 C) (tptp.v11_altcat_1 C) (tptp.v12_altcat_1 C) (tptp.l2_altcat_1 C)) (forall ((D $$unsorted)) (=> (and (not (tptp.v3_struct_0 D)) (tptp.v2_altcat_1 D) (tptp.v11_altcat_1 D) (tptp.v12_altcat_1 D) (tptp.l2_altcat_1 D)) (forall ((E $$unsorted)) (=> (tptp.l2_functor0 E A B) (=> (tptp.r2_yellow20 A B E C D) (tptp.r1_functor0 C D)))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_altcat_1 A) (tptp.v11_altcat_1 A) (tptp.v12_altcat_1 A) (tptp.l2_altcat_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_altcat_1 B) (tptp.v11_altcat_1 B) (tptp.v12_altcat_1 B) (tptp.l2_altcat_1 B)) (forall ((C $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.v2_altcat_1 C) (tptp.v11_altcat_1 C) (tptp.v12_altcat_1 C) (tptp.l2_altcat_1 C)) (forall ((D $$unsorted)) (=> (and (not (tptp.v3_struct_0 D)) (tptp.v2_altcat_1 D) (tptp.v11_altcat_1 D) (tptp.v12_altcat_1 D) (tptp.l2_altcat_1 D)) (forall ((E $$unsorted)) (=> (tptp.l2_functor0 E A B) (=> (tptp.r3_yellow20 A B E C D) (tptp.r2_functor0 C D)))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_altcat_1 A) (tptp.v11_altcat_1 A) (tptp.v12_altcat_1 A) (tptp.l2_altcat_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_altcat_1 B) (tptp.v11_altcat_1 B) (tptp.v12_altcat_1 B) (tptp.l2_altcat_1 B)) (forall ((C $$unsorted)) (=> (and (tptp.v15_functor0 C A B) (tptp.m2_functor0 C A B)) (=> (tptp.r2_yellow20 A B C A B) (tptp.v21_functor0 C A B)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_altcat_1 A) (tptp.v11_altcat_1 A) (tptp.v12_altcat_1 A) (tptp.l2_altcat_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_altcat_1 B) (tptp.v11_altcat_1 B) (tptp.v12_altcat_1 B) (tptp.l2_altcat_1 B)) (forall ((C $$unsorted)) (=> (and (tptp.v16_functor0 C A B) (tptp.m2_functor0 C A B)) (=> (tptp.r3_yellow20 A B C A B) (tptp.v21_functor0 C A B)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_altcat_1 A) (tptp.v11_altcat_1 A) (tptp.v12_altcat_1 A) (tptp.l2_altcat_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_altcat_1 B) (tptp.v11_altcat_1 B) (tptp.v12_altcat_1 B) (tptp.l2_altcat_1 B)) (forall ((C $$unsorted)) (=> (and (tptp.v15_functor0 C A B) (tptp.m2_functor0 C A B)) (=> (tptp.v21_functor0 C A B) (tptp.r2_yellow20 A B C A B)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_altcat_1 A) (tptp.v11_altcat_1 A) (tptp.v12_altcat_1 A) (tptp.l2_altcat_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_altcat_1 B) (tptp.v11_altcat_1 B) (tptp.v12_altcat_1 B) (tptp.l2_altcat_1 B)) (forall ((C $$unsorted)) (=> (and (tptp.v16_functor0 C A B) (tptp.m2_functor0 C A B)) (=> (tptp.v21_functor0 C A B) (tptp.r3_yellow20 A B C A B)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_altcat_1 A) (tptp.v11_altcat_1 A) (tptp.v12_altcat_1 A) (tptp.l2_altcat_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_altcat_1 B) (tptp.v3_altcat_2 B A) (tptp.m1_altcat_2 B A)) (tptp.r2_yellow20 A A (tptp.k12_functor0 A) 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 A B) (tptp.r1_tarski (tptp.k2_funct_4 A) (tptp.k2_funct_4 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.v1_relat_1 (tptp.k1_relat_1 A)) (tptp.r1_tarski (tptp.k2_funct_4 A) (tptp.k2_funct_4 B))) (tptp.r1_tarski A B)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.m1_pboole C (tptp.k2_zfmisc_1 A A)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 B B))) (let ((_let_2 (tptp.k2_zfmisc_1 A A))) (=> (tptp.m1_pboole D _let_1) (=> (tptp.r2_altcat_2 _let_2 _let_1 C D) (tptp.r2_altcat_2 _let_2 _let_1 (tptp.k1_altcat_2 A C) (tptp.k1_altcat_2 B D))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_altcat_1 A) (tptp.l2_altcat_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_altcat_1 B) (tptp.m1_altcat_2 B A)) (tptp.m1_altcat_2 (tptp.k1_yellow18 B) (tptp.k1_yellow18 A)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_altcat_1 A) (tptp.v11_altcat_1 A) (tptp.v12_altcat_1 A) (tptp.l2_altcat_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k1_yellow18 A))) (let ((_let_2 (tptp.k1_yellow18 B))) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_altcat_1 B) (tptp.v3_altcat_2 B A) (tptp.m1_altcat_2 B A)) (and (tptp.v2_altcat_1 _let_2) (tptp.v3_altcat_2 _let_2 _let_1) (tptp.m1_altcat_2 _let_2 _let_1)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_altcat_1 A) (tptp.v11_altcat_1 A) (tptp.v12_altcat_1 A) (tptp.l2_altcat_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k1_yellow18 A))) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_altcat_1 B) (tptp.v3_altcat_2 B A) (tptp.m1_altcat_2 B A)) (tptp.r3_yellow20 A _let_1 (tptp.k2_yellow18 A _let_1) B (tptp.k1_yellow18 B))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_altcat_1 A) (tptp.v11_altcat_1 A) (tptp.v12_altcat_1 A) (tptp.l2_altcat_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_altcat_1 B) (tptp.v11_altcat_1 B) (tptp.v12_altcat_1 B) (tptp.l2_altcat_1 B)) (forall ((C $$unsorted)) (=> (and (tptp.v15_functor0 C A B) (tptp.m2_functor0 C A B)) (=> (tptp.v21_functor0 C A B) (forall ((D $$unsorted)) (=> (and (not (tptp.v3_struct_0 D)) (tptp.v2_altcat_1 D) (tptp.v3_altcat_2 D A) (tptp.m1_altcat_2 D A)) (forall ((E $$unsorted)) (=> (and (not (tptp.v3_struct_0 E)) (tptp.v2_altcat_1 E) (tptp.v3_altcat_2 E B) (tptp.m1_altcat_2 E B)) (=> (tptp.r2_yellow20 A B C D E) (tptp.r2_yellow20 B A (tptp.k15_functor0 A B C) E D))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_altcat_1 A) (tptp.v11_altcat_1 A) (tptp.v12_altcat_1 A) (tptp.l2_altcat_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_altcat_1 B) (tptp.v11_altcat_1 B) (tptp.v12_altcat_1 B) (tptp.l2_altcat_1 B)) (forall ((C $$unsorted)) (=> (and (tptp.v16_functor0 C A B) (tptp.m2_functor0 C A B)) (=> (tptp.v21_functor0 C A B) (forall ((D $$unsorted)) (=> (and (not (tptp.v3_struct_0 D)) (tptp.v2_altcat_1 D) (tptp.v3_altcat_2 D A) (tptp.m1_altcat_2 D A)) (forall ((E $$unsorted)) (=> (and (not (tptp.v3_struct_0 E)) (tptp.v2_altcat_1 E) (tptp.v3_altcat_2 E B) (tptp.m1_altcat_2 E B)) (=> (tptp.r3_yellow20 A B C D E) (tptp.r3_yellow20 B A (tptp.k15_functor0 A B C) E D))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_altcat_1 A) (tptp.v11_altcat_1 A) (tptp.v12_altcat_1 A) (tptp.l2_altcat_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_altcat_1 B) (tptp.v11_altcat_1 B) (tptp.v12_altcat_1 B) (tptp.l2_altcat_1 B)) (forall ((C $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.v2_altcat_1 C) (tptp.v11_altcat_1 C) (tptp.v12_altcat_1 C) (tptp.l2_altcat_1 C)) (forall ((D $$unsorted)) (=> (and (tptp.v15_functor0 D A B) (tptp.m2_functor0 D A B)) (forall ((E $$unsorted)) (=> (and (tptp.v15_functor0 E B C) (tptp.m2_functor0 E B C)) (forall ((F $$unsorted)) (=> (and (not (tptp.v3_struct_0 F)) (tptp.v2_altcat_1 F) (tptp.v3_altcat_2 F A) (tptp.m1_altcat_2 F A)) (forall ((G $$unsorted)) (=> (and (not (tptp.v3_struct_0 G)) (tptp.v2_altcat_1 G) (tptp.v3_altcat_2 G B) (tptp.m1_altcat_2 G B)) (forall ((H $$unsorted)) (=> (and (not (tptp.v3_struct_0 H)) (tptp.v2_altcat_1 H) (tptp.v3_altcat_2 H C) (tptp.m1_altcat_2 H C)) (=> (and (tptp.r2_yellow20 A B D F G) (tptp.r2_yellow20 B C E G H)) (tptp.r2_yellow20 A C (tptp.k1_functor3 A B C D E) F H)))))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_altcat_1 A) (tptp.v11_altcat_1 A) (tptp.v12_altcat_1 A) (tptp.l2_altcat_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_altcat_1 B) (tptp.v11_altcat_1 B) (tptp.v12_altcat_1 B) (tptp.l2_altcat_1 B)) (forall ((C $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.v2_altcat_1 C) (tptp.v11_altcat_1 C) (tptp.v12_altcat_1 C) (tptp.l2_altcat_1 C)) (forall ((D $$unsorted)) (=> (and (tptp.v16_functor0 D A B) (tptp.m2_functor0 D A B)) (forall ((E $$unsorted)) (=> (and (tptp.v15_functor0 E B C) (tptp.m2_functor0 E B C)) (forall ((F $$unsorted)) (=> (and (not (tptp.v3_struct_0 F)) (tptp.v2_altcat_1 F) (tptp.v3_altcat_2 F A) (tptp.m1_altcat_2 F A)) (forall ((G $$unsorted)) (=> (and (not (tptp.v3_struct_0 G)) (tptp.v2_altcat_1 G) (tptp.v3_altcat_2 G B) (tptp.m1_altcat_2 G B)) (forall ((H $$unsorted)) (=> (and (not (tptp.v3_struct_0 H)) (tptp.v2_altcat_1 H) (tptp.v3_altcat_2 H C) (tptp.m1_altcat_2 H C)) (=> (and (tptp.r3_yellow20 A B D F G) (tptp.r2_yellow20 B C E G H)) (tptp.r3_yellow20 A C (tptp.k4_functor3 A B C D E) F H)))))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_altcat_1 A) (tptp.v11_altcat_1 A) (tptp.v12_altcat_1 A) (tptp.l2_altcat_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_altcat_1 B) (tptp.v11_altcat_1 B) (tptp.v12_altcat_1 B) (tptp.l2_altcat_1 B)) (forall ((C $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.v2_altcat_1 C) (tptp.v11_altcat_1 C) (tptp.v12_altcat_1 C) (tptp.l2_altcat_1 C)) (forall ((D $$unsorted)) (=> (and (tptp.v15_functor0 D A B) (tptp.m2_functor0 D A B)) (forall ((E $$unsorted)) (=> (and (tptp.v16_functor0 E B C) (tptp.m2_functor0 E B C)) (forall ((F $$unsorted)) (=> (and (not (tptp.v3_struct_0 F)) (tptp.v2_altcat_1 F) (tptp.v3_altcat_2 F A) (tptp.m1_altcat_2 F A)) (forall ((G $$unsorted)) (=> (and (not (tptp.v3_struct_0 G)) (tptp.v2_altcat_1 G) (tptp.v3_altcat_2 G B) (tptp.m1_altcat_2 G B)) (forall ((H $$unsorted)) (=> (and (not (tptp.v3_struct_0 H)) (tptp.v2_altcat_1 H) (tptp.v3_altcat_2 H C) (tptp.m1_altcat_2 H C)) (=> (and (tptp.r2_yellow20 A B D F G) (tptp.r3_yellow20 B C E G H)) (tptp.r3_yellow20 A C (tptp.k3_functor3 A B C D E) F H)))))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_altcat_1 A) (tptp.v11_altcat_1 A) (tptp.v12_altcat_1 A) (tptp.l2_altcat_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_altcat_1 B) (tptp.v11_altcat_1 B) (tptp.v12_altcat_1 B) (tptp.l2_altcat_1 B)) (forall ((C $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.v2_altcat_1 C) (tptp.v11_altcat_1 C) (tptp.v12_altcat_1 C) (tptp.l2_altcat_1 C)) (forall ((D $$unsorted)) (=> (and (tptp.v16_functor0 D A B) (tptp.m2_functor0 D A B)) (forall ((E $$unsorted)) (=> (and (tptp.v16_functor0 E B C) (tptp.m2_functor0 E B C)) (forall ((F $$unsorted)) (=> (and (not (tptp.v3_struct_0 F)) (tptp.v2_altcat_1 F) (tptp.v3_altcat_2 F A) (tptp.m1_altcat_2 F A)) (forall ((G $$unsorted)) (=> (and (not (tptp.v3_struct_0 G)) (tptp.v2_altcat_1 G) (tptp.v3_altcat_2 G B) (tptp.m1_altcat_2 G B)) (forall ((H $$unsorted)) (=> (and (not (tptp.v3_struct_0 H)) (tptp.v2_altcat_1 H) (tptp.v3_altcat_2 H C) (tptp.m1_altcat_2 H C)) (=> (and (tptp.r3_yellow20 A B D F G) (tptp.r3_yellow20 B C E G H)) (tptp.r2_yellow20 A C (tptp.k2_functor3 A B C D E) F H)))))))))))))))))) (=> (and (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A (tptp.u1_struct_0 tptp.f1_s1_yellow20)) (= (tptp.m1_subset_1 A (tptp.u1_struct_0 tptp.f2_s1_yellow20)) (tptp.p1_s1_yellow20 A)))) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A (tptp.u1_struct_0 tptp.f1_s1_yellow20)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 tptp.f1_s1_yellow20)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 tptp.f2_s1_yellow20)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 tptp.f2_s1_yellow20)) (=> (and (= C A) (= D B)) (or (= (tptp.k1_altcat_1 tptp.f1_s1_yellow20 A B) tptp.k1_xboole_0) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.k1_altcat_1 tptp.f1_s1_yellow20 A B)) (= (tptp.r2_hidden E (tptp.k1_altcat_1 tptp.f2_s1_yellow20 C D)) (tptp.p2_s1_yellow20 A B E)))))))))))))) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A (tptp.u1_struct_0 tptp.f1_s1_yellow20)) (= (tptp.m1_subset_1 A (tptp.u1_struct_0 tptp.f3_s1_yellow20)) (tptp.p1_s1_yellow20 A)))) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A (tptp.u1_struct_0 tptp.f1_s1_yellow20)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 tptp.f1_s1_yellow20)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 tptp.f3_s1_yellow20)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 tptp.f3_s1_yellow20)) (=> (and (= C A) (= D B)) (or (= (tptp.k1_altcat_1 tptp.f1_s1_yellow20 A B) tptp.k1_xboole_0) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.k1_altcat_1 tptp.f1_s1_yellow20 A B)) (= (tptp.r2_hidden E (tptp.k1_altcat_1 tptp.f3_s1_yellow20 C D)) (tptp.p2_s1_yellow20 A B E))))))))))))))) (= (tptp.g2_altcat_1 (tptp.u1_struct_0 tptp.f2_s1_yellow20) (tptp.u1_altcat_1 tptp.f2_s1_yellow20) (tptp.u2_altcat_1 tptp.f2_s1_yellow20)) (tptp.g2_altcat_1 (tptp.u1_struct_0 tptp.f3_s1_yellow20) (tptp.u1_altcat_1 tptp.f3_s1_yellow20) (tptp.u2_altcat_1 tptp.f3_s1_yellow20)))) (=> (exists ((A $$unsorted)) (and (tptp.m1_subset_1 A (tptp.u1_struct_0 tptp.f1_s2_yellow20)) (tptp.p1_s2_yellow20 A))) (exists ((A $$unsorted)) (and (not (tptp.v3_struct_0 A)) (tptp.v2_altcat_1 A) (tptp.v6_altcat_1 A) (tptp.v2_altcat_2 A tptp.f1_s2_yellow20) (tptp.v3_altcat_2 A tptp.f1_s2_yellow20) (tptp.m1_altcat_2 A tptp.f1_s2_yellow20) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 tptp.f1_s2_yellow20)) (= (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (tptp.p1_s2_yellow20 B))))))) (=> (and (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A (tptp.u1_struct_0 tptp.f1_s3_yellow20)) (= (tptp.m1_subset_1 A (tptp.u1_struct_0 tptp.f2_s3_yellow20)) (tptp.p1_s3_yellow20 A)))) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A (tptp.u1_struct_0 tptp.f1_s3_yellow20)) (= (tptp.m1_subset_1 A (tptp.u1_struct_0 tptp.f3_s3_yellow20)) (tptp.p1_s3_yellow20 A))))) (= (tptp.g2_altcat_1 (tptp.u1_struct_0 tptp.f2_s3_yellow20) (tptp.u1_altcat_1 tptp.f2_s3_yellow20) (tptp.u2_altcat_1 tptp.f2_s3_yellow20)) (tptp.g2_altcat_1 (tptp.u1_struct_0 tptp.f3_s3_yellow20) (tptp.u1_altcat_1 tptp.f3_s3_yellow20) (tptp.u2_altcat_1 tptp.f3_s3_yellow20)))) (=> (and (tptp.v21_functor0 tptp.f3_s4_yellow20 tptp.f1_s4_yellow20 tptp.f2_s4_yellow20) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A (tptp.u1_struct_0 tptp.f1_s4_yellow20)) (= (tptp.m1_subset_1 A (tptp.u1_struct_0 tptp.f4_s4_yellow20)) (tptp.m1_subset_1 (tptp.k3_functor0 tptp.f1_s4_yellow20 tptp.f2_s4_yellow20 tptp.f3_s4_yellow20 A) (tptp.u1_struct_0 tptp.f5_s4_yellow20))))) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A (tptp.u1_struct_0 tptp.f1_s4_yellow20)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 tptp.f1_s4_yellow20)) (=> (not (= (tptp.k1_altcat_1 tptp.f1_s4_yellow20 A B) tptp.k1_xboole_0)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 tptp.f4_s4_yellow20)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 tptp.f4_s4_yellow20)) (=> (and (= C A) (= D B)) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.u1_struct_0 tptp.f5_s4_yellow20)) (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F (tptp.u1_struct_0 tptp.f5_s4_yellow20)) (=> (and (= E (tptp.k3_functor0 tptp.f1_s4_yellow20 tptp.f2_s4_yellow20 tptp.f3_s4_yellow20 A)) (= F (tptp.k3_functor0 tptp.f1_s4_yellow20 tptp.f2_s4_yellow20 tptp.f3_s4_yellow20 B))) (forall ((G $$unsorted)) (=> (tptp.m1_subset_1 G (tptp.k1_altcat_1 tptp.f1_s4_yellow20 A B)) (= (tptp.r2_hidden G (tptp.k1_altcat_1 tptp.f4_s4_yellow20 C D)) (tptp.r2_hidden (tptp.k6_functor0 tptp.f1_s4_yellow20 tptp.f2_s4_yellow20 tptp.f3_s4_yellow20 A B G) (tptp.k1_altcat_1 tptp.f5_s4_yellow20 E F))))))))))))))))))))) (tptp.r2_yellow20 tptp.f1_s4_yellow20 tptp.f2_s4_yellow20 tptp.f3_s4_yellow20 tptp.f4_s4_yellow20 tptp.f5_s4_yellow20)) (=> (and (tptp.v21_functor0 tptp.f3_s5_yellow20 tptp.f1_s5_yellow20 tptp.f2_s5_yellow20) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A (tptp.u1_struct_0 tptp.f1_s5_yellow20)) (= (tptp.m1_subset_1 A (tptp.u1_struct_0 tptp.f4_s5_yellow20)) (tptp.m1_subset_1 (tptp.k3_functor0 tptp.f1_s5_yellow20 tptp.f2_s5_yellow20 tptp.f3_s5_yellow20 A) (tptp.u1_struct_0 tptp.f5_s5_yellow20))))) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A (tptp.u1_struct_0 tptp.f1_s5_yellow20)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 tptp.f1_s5_yellow20)) (=> (not (= (tptp.k1_altcat_1 tptp.f1_s5_yellow20 A B) tptp.k1_xboole_0)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 tptp.f4_s5_yellow20)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 tptp.f4_s5_yellow20)) (=> (and (= C A) (= D B)) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.u1_struct_0 tptp.f5_s5_yellow20)) (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F (tptp.u1_struct_0 tptp.f5_s5_yellow20)) (=> (and (= E (tptp.k3_functor0 tptp.f1_s5_yellow20 tptp.f2_s5_yellow20 tptp.f3_s5_yellow20 A)) (= F (tptp.k3_functor0 tptp.f1_s5_yellow20 tptp.f2_s5_yellow20 tptp.f3_s5_yellow20 B))) (forall ((G $$unsorted)) (=> (tptp.m1_subset_1 G (tptp.k1_altcat_1 tptp.f1_s5_yellow20 A B)) (= (tptp.r2_hidden G (tptp.k1_altcat_1 tptp.f4_s5_yellow20 C D)) (tptp.r2_hidden (tptp.k8_functor0 tptp.f1_s5_yellow20 tptp.f2_s5_yellow20 tptp.f3_s5_yellow20 A B G) (tptp.k1_altcat_1 tptp.f5_s5_yellow20 F E))))))))))))))))))))) (tptp.r3_yellow20 tptp.f1_s5_yellow20 tptp.f2_s5_yellow20 tptp.f3_s5_yellow20 tptp.f4_s5_yellow20 tptp.f5_s5_yellow20)) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.l2_altcat_1 A) (tptp.l2_altcat_1 B)) (=> (tptp.r1_yellow20 A B) (tptp.r1_yellow20 B A)))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k1_yellow20 A B))) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (and (tptp.v1_relat_1 _let_1) (tptp.v1_funct_1 _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (= (tptp.k1_yellow20 A B) (tptp.k1_yellow20 B A)))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k2_yellow20 A B))) (=> (and (tptp.l2_altcat_1 A) (tptp.l2_altcat_1 B)) (and (tptp.v6_altcat_1 _let_1) (tptp.l2_altcat_1 _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k3_yellow20 A B))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_altcat_1 A) (tptp.v11_altcat_1 A) (tptp.v12_altcat_1 A) (tptp.l2_altcat_1 A) (not (tptp.v3_struct_0 B)) (tptp.v2_altcat_1 B) (tptp.v3_altcat_2 B A) (tptp.m1_altcat_2 B A)) (and (tptp.v9_functor0 _let_1 B A) (tptp.v15_functor0 _let_1 B A) (tptp.m2_functor0 _let_1 B A))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_altcat_1 A) (tptp.v11_altcat_1 A) (tptp.v12_altcat_1 A) (tptp.l2_altcat_1 A) (not (tptp.v3_struct_0 B)) (tptp.v2_altcat_1 B) (tptp.v3_altcat_2 B A) (tptp.m1_altcat_2 B A)) (= (tptp.k3_yellow20 A B) (tptp.k10_functor0 A B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k4_yellow20 A B C D))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_altcat_1 A) (tptp.v11_altcat_1 A) (tptp.v12_altcat_1 A) (tptp.l2_altcat_1 A) (not (tptp.v3_struct_0 B)) (tptp.v2_altcat_1 B) (tptp.v11_altcat_1 B) (tptp.v12_altcat_1 B) (tptp.l2_altcat_1 B) (not (tptp.v3_struct_0 C)) (tptp.v2_altcat_1 C) (tptp.v3_altcat_2 C A) (tptp.m1_altcat_2 C A) (tptp.v15_functor0 D A B) (tptp.m2_functor0 D A B)) (and (tptp.v9_functor0 _let_1 C B) (tptp.v15_functor0 _let_1 C B) (tptp.m2_functor0 _let_1 C B))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_altcat_1 A) (tptp.v11_altcat_1 A) (tptp.v12_altcat_1 A) (tptp.l2_altcat_1 A) (not (tptp.v3_struct_0 B)) (tptp.v2_altcat_1 B) (tptp.v11_altcat_1 B) (tptp.v12_altcat_1 B) (tptp.l2_altcat_1 B) (not (tptp.v3_struct_0 C)) (tptp.v2_altcat_1 C) (tptp.v3_altcat_2 C A) (tptp.m1_altcat_2 C A) (tptp.v15_functor0 D A B) (tptp.m2_functor0 D A B)) (= (tptp.k4_yellow20 A B C D) (tptp.k14_functor0 A B C D)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k5_yellow20 A B C D))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_altcat_1 A) (tptp.v11_altcat_1 A) (tptp.v12_altcat_1 A) (tptp.l2_altcat_1 A) (not (tptp.v3_struct_0 B)) (tptp.v2_altcat_1 B) (tptp.v11_altcat_1 B) (tptp.v12_altcat_1 B) (tptp.l2_altcat_1 B) (not (tptp.v3_struct_0 C)) (tptp.v2_altcat_1 C) (tptp.v3_altcat_2 C A) (tptp.m1_altcat_2 C A) (tptp.v16_functor0 D A B) (tptp.m2_functor0 D A B)) (and (tptp.v9_functor0 _let_1 C B) (tptp.v16_functor0 _let_1 C B) (tptp.m2_functor0 _let_1 C B))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_altcat_1 A) (tptp.v11_altcat_1 A) (tptp.v12_altcat_1 A) (tptp.l2_altcat_1 A) (not (tptp.v3_struct_0 B)) (tptp.v2_altcat_1 B) (tptp.v11_altcat_1 B) (tptp.v12_altcat_1 B) (tptp.l2_altcat_1 B) (not (tptp.v3_struct_0 C)) (tptp.v2_altcat_1 C) (tptp.v3_altcat_2 C A) (tptp.m1_altcat_2 C A) (tptp.v16_functor0 D A B) (tptp.m2_functor0 D A B)) (= (tptp.k5_yellow20 A B C D) (tptp.k14_functor0 A B C D)))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (not (tptp.v1_xboole_0 (tptp.k2_yellow21 A))))) (forall ((A $$unsorted)) (=> (tptp.v1_setfam_1 A) (tptp.v4_orders_3 (tptp.k2_yellow21 A)))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.v12_altcat_1 A))) (let ((_let_2 (tptp.v11_altcat_1 A))) (let ((_let_3 (tptp.v2_altcat_1 A))) (let ((_let_4 (not (tptp.v3_struct_0 A)))) (=> (tptp.l2_altcat_1 A) (=> (and _let_4 _let_3 _let_2 _let_1 (tptp.v3_yellow21 A)) (and _let_4 _let_3 _let_2 _let_1 (tptp.v1_altcat_2 A) (tptp.v2_yellow21 A))))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.v12_altcat_1 A))) (let ((_let_2 (tptp.v11_altcat_1 A))) (let ((_let_3 (tptp.v2_altcat_1 A))) (let ((_let_4 (not (tptp.v3_struct_0 A)))) (=> (tptp.l2_altcat_1 A) (=> (and _let_4 _let_3 _let_2 _let_1 (tptp.v2_yellow21 A)) (and _let_4 _let_3 (tptp.v9_altcat_1 A) _let_2 _let_1 (tptp.v1_altcat_2 A) (tptp.v2_yellow18 A) (tptp.v3_yellow18 A) (tptp.v4_yellow18 A) (tptp.v1_yellow21 A))))))))) (exists ((A $$unsorted)) (and (tptp.l2_altcat_1 A) (not (tptp.v3_struct_0 A)) (tptp.v2_altcat_1 A) (tptp.v6_altcat_1 A) (tptp.v9_altcat_1 A) (tptp.v11_altcat_1 A) (tptp.v12_altcat_1 A) (tptp.v1_altcat_2 A) (tptp.v2_yellow18 A) (tptp.v3_yellow18 A) (tptp.v4_yellow18 A) (tptp.v1_yellow21 A) (tptp.v2_yellow21 A) (tptp.v3_yellow21 A))) (exists ((A $$unsorted)) (and (tptp.l2_altcat_1 A) (not (tptp.v3_struct_0 A)) (tptp.v2_altcat_1 A) (tptp.v6_altcat_1 A) (tptp.v9_altcat_1 A) (tptp.v11_altcat_1 A) (tptp.v12_altcat_1 A) (tptp.v1_altcat_2 A) (tptp.v2_yellow18 A) (tptp.v3_yellow18 A) (tptp.v4_yellow18 A) (tptp.v1_yellow21 A) (tptp.v2_yellow21 A) (tptp.v4_yellow21 A))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.v1_relat_1 A))) (=> (and _let_1 (tptp.v2_wellord1 A)) (and _let_1 (tptp.v1_wellord1 A) (tptp.v1_relat_2 A) (tptp.v4_relat_2 A) (tptp.v6_relat_2 A) (tptp.v8_relat_2 A))))) (exists ((A $$unsorted)) (and (tptp.v1_relat_1 A) (tptp.v1_wellord1 A) (tptp.v2_wellord1 A) (tptp.v1_relat_2 A) (tptp.v4_relat_2 A) (tptp.v6_relat_2 A) (tptp.v8_relat_2 A))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k5_relat_1 (tptp.k5_relat_1 A B) (tptp.k2_funct_1 A)))) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v2_funct_1 A) (tptp.v1_relat_1 B) (tptp.v1_relat_2 B)) (and (tptp.v1_relat_1 _let_1) (tptp.v1_relat_2 _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k5_relat_1 (tptp.k5_relat_1 A B) (tptp.k2_funct_1 A)))) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v2_funct_1 A) (tptp.v1_relat_1 B) (tptp.v4_relat_2 B)) (and (tptp.v1_relat_1 _let_1) (tptp.v4_relat_2 _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k5_relat_1 (tptp.k5_relat_1 A B) (tptp.k2_funct_1 A)))) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v2_funct_1 A) (tptp.v1_relat_1 B) (tptp.v8_relat_2 B)) (and (tptp.v1_relat_1 _let_1) (tptp.v8_relat_2 _let_1))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (exists ((B $$unsorted)) (and (tptp.m1_relset_1 B A A) (tptp.v1_relat_1 B) (tptp.v1_wellord1 B) (tptp.v2_wellord1 B) (tptp.v1_relat_2 B) (tptp.v4_relat_2 B) (tptp.v6_relat_2 B) (tptp.v8_relat_2 B) (tptp.v1_partfun1 B A A) (tptp.v5_yellow21 B))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.g1_orders_2 A B))) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v2_wellord1 B) (tptp.v1_relat_2 B) (tptp.v4_relat_2 B) (tptp.v8_relat_2 B) (tptp.v1_partfun1 B A A) (tptp.v5_yellow21 B) (tptp.m1_relset_1 B A A)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v1_orders_2 _let_1) (tptp.v2_orders_2 _let_1) (tptp.v3_orders_2 _let_1) (tptp.v4_orders_2 _let_1) (tptp.v1_yellow_0 _let_1) (tptp.v2_yellow_0 _let_1) (tptp.v3_yellow_0 _let_1) (tptp.v16_waybel_0 _let_1) (tptp.v24_waybel_0 _let_1) (tptp.v25_waybel_0 _let_1) (tptp.v1_waybel_8 _let_1) (tptp.v2_waybel_8 _let_1) (tptp.v1_lattice3 _let_1) (tptp.v2_lattice3 _let_1) (tptp.v3_lattice3 _let_1) (tptp.v2_waybel_3 _let_1) (tptp.v3_waybel_3 _let_1))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_realset1 A)) (and (not (tptp.v1_xboole_0 A)) (not (tptp.v2_setfam_1 A))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k6_yellow21 A))) (=> (not (tptp.v2_setfam_1 A)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v2_altcat_1 _let_1) (tptp.v6_altcat_1 _let_1) (tptp.v9_altcat_1 _let_1) (tptp.v11_altcat_1 _let_1) (tptp.v12_altcat_1 _let_1) (tptp.v1_altcat_2 _let_1) (tptp.v2_yellow18 _let_1) (tptp.v3_yellow18 _let_1) (tptp.v4_yellow18 _let_1) (tptp.v1_yellow21 _let_1) (tptp.v2_yellow21 _let_1) (tptp.v3_yellow21 _let_1) (tptp.v4_yellow21 _let_1))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k6_yellow21 A))) (let ((_let_2 (tptp.u1_struct_0 _let_1))) (=> (and (not (tptp.v2_setfam_1 A)) (tptp.m1_subset_1 B _let_2) (tptp.m1_subset_1 C _let_2)) (not (tptp.v1_xboole_0 (tptp.k1_altcat_1 _let_1 B C))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_altcat_1 A) (tptp.v11_altcat_1 A) (tptp.v12_altcat_1 A) (tptp.v3_yellow18 A) (tptp.l2_altcat_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.v3_altcat_2 B A))) (let ((_let_2 (tptp.v2_altcat_1 B))) (let ((_let_3 (not (tptp.v3_struct_0 B)))) (=> (tptp.m1_altcat_2 B A) (=> (and _let_3 _let_2 _let_1) (and _let_3 _let_2 (tptp.v11_altcat_1 B) (tptp.v12_altcat_1 B) (tptp.v1_altcat_2 B) _let_1 (tptp.v3_yellow18 B)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_altcat_1 A) (tptp.v11_altcat_1 A) (tptp.v12_altcat_1 A) (tptp.v2_yellow18 A) (tptp.l2_altcat_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.v3_altcat_2 B A))) (let ((_let_2 (tptp.v2_altcat_1 B))) (let ((_let_3 (not (tptp.v3_struct_0 B)))) (=> (tptp.m1_altcat_2 B A) (=> (and _let_3 _let_2 _let_1) (and _let_3 _let_2 (tptp.v11_altcat_1 B) (tptp.v12_altcat_1 B) (tptp.v1_altcat_2 B) _let_1 (tptp.v2_yellow18 B)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_altcat_1 A) (tptp.v9_altcat_1 A) (tptp.v11_altcat_1 A) (tptp.v12_altcat_1 A) (tptp.l2_altcat_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.v2_altcat_1 B))) (let ((_let_2 (not (tptp.v3_struct_0 B)))) (=> (tptp.m1_altcat_2 B A) (=> (and _let_2 _let_1) (and _let_2 _let_1 (tptp.v9_altcat_1 B) (tptp.v11_altcat_1 B))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_altcat_1 A) (tptp.v11_altcat_1 A) (tptp.v12_altcat_1 A) (tptp.v1_yellow21 A) (tptp.l2_altcat_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.v3_altcat_2 B A))) (let ((_let_2 (tptp.v2_altcat_1 B))) (let ((_let_3 (not (tptp.v3_struct_0 B)))) (=> (tptp.m1_altcat_2 B A) (=> (and _let_3 _let_2 _let_1) (and _let_3 _let_2 (tptp.v11_altcat_1 B) (tptp.v12_altcat_1 B) (tptp.v1_altcat_2 B) _let_1 (tptp.v1_yellow21 B)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_altcat_1 A) (tptp.v11_altcat_1 A) (tptp.v12_altcat_1 A) (tptp.v2_yellow21 A) (tptp.l2_altcat_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.v3_altcat_2 B A))) (let ((_let_2 (tptp.v2_altcat_1 B))) (let ((_let_3 (not (tptp.v3_struct_0 B)))) (=> (tptp.m1_altcat_2 B A) (=> (and _let_3 _let_2 _let_1) (and _let_3 _let_2 (tptp.v9_altcat_1 B) (tptp.v11_altcat_1 B) (tptp.v12_altcat_1 B) (tptp.v1_altcat_2 B) _let_1 (tptp.v2_yellow18 B) (tptp.v3_yellow18 B) (tptp.v4_yellow18 B) (tptp.v1_yellow21 B) (tptp.v2_yellow21 B)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_altcat_1 A) (tptp.v11_altcat_1 A) (tptp.v12_altcat_1 A) (tptp.v2_yellow21 A) (tptp.v4_yellow21 A) (tptp.l2_altcat_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.v3_altcat_2 B A))) (let ((_let_2 (tptp.v2_altcat_1 B))) (let ((_let_3 (not (tptp.v3_struct_0 B)))) (=> (tptp.m1_altcat_2 B A) (=> (and _let_3 _let_2 (tptp.v2_altcat_2 B A) _let_1) (and _let_3 _let_2 (tptp.v9_altcat_1 B) (tptp.v11_altcat_1 B) (tptp.v12_altcat_1 B) (tptp.v1_altcat_2 B) _let_1 (tptp.v2_yellow18 B) (tptp.v3_yellow18 B) (tptp.v4_yellow18 B) (tptp.v1_yellow21 B) (tptp.v2_yellow21 B) (tptp.v4_yellow21 B)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_altcat_1 A) (tptp.v11_altcat_1 A) (tptp.v12_altcat_1 A) (tptp.v3_yellow21 A) (tptp.l2_altcat_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.v3_altcat_2 B A))) (let ((_let_2 (tptp.v2_altcat_1 B))) (let ((_let_3 (not (tptp.v3_struct_0 B)))) (=> (tptp.m1_altcat_2 B A) (=> (and _let_3 _let_2 _let_1) (and _let_3 _let_2 (tptp.v9_altcat_1 B) (tptp.v11_altcat_1 B) (tptp.v12_altcat_1 B) (tptp.v1_altcat_2 B) _let_1 (tptp.v2_yellow18 B) (tptp.v3_yellow18 B) (tptp.v4_yellow18 B) (tptp.v1_yellow21 B) (tptp.v2_yellow21 B) (tptp.v3_yellow21 B)))))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k7_yellow21 A))) (let ((_let_2 (tptp.u1_struct_0 _let_1))) (=> (and (not (tptp.v2_setfam_1 A)) (tptp.m1_subset_1 B _let_2) (tptp.m1_subset_1 C _let_2)) (not (tptp.v1_xboole_0 (tptp.k1_altcat_1 _let_1 B C))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k8_yellow21 A))) (let ((_let_2 (tptp.u1_struct_0 _let_1))) (=> (and (not (tptp.v2_setfam_1 A)) (tptp.m1_subset_1 B _let_2) (tptp.m1_subset_1 C _let_2)) (not (tptp.v1_xboole_0 (tptp.k1_altcat_1 _let_1 B C))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k1_yellow21 A))) (let ((_let_2 (tptp.l1_struct_0 A))) (and (=> _let_2 (= _let_1 A)) (=> (not _let_2) (= _let_1 (tptp.g1_struct_0 A))))))) (forall ((A $$unsorted) (B $$unsorted)) (= (= B (tptp.k2_yellow21 A)) (forall ((C $$unsorted)) (= (tptp.r2_hidden C B) (and (tptp.v1_orders_2 C) (tptp.v2_orders_2 C) (tptp.v3_orders_2 C) (tptp.v4_orders_2 C) (tptp.l1_orders_2 C) (tptp.r2_hidden (tptp.u1_struct_0 (tptp.k1_yellow21 C)) A)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_altcat_1 A) (tptp.v11_altcat_1 A) (tptp.v12_altcat_1 A) (tptp.l2_altcat_1 A)) (= (tptp.v1_yellow21 A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (exists ((C $$unsorted)) (and (tptp.l1_struct_0 C) (= B C) (= (tptp.k3_yellow18 A B) (tptp.u1_struct_0 C))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_altcat_1 A) (tptp.v11_altcat_1 A) (tptp.v12_altcat_1 A) (tptp.l2_altcat_1 A)) (= (tptp.v2_yellow21 A) (and (tptp.v9_altcat_1 A) (tptp.v3_yellow18 A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (and (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.v1_lattice3 B) (tptp.v2_lattice3 B) (tptp.l1_orders_2 B)))) (forall ((B $$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)) (=> (and (tptp.v2_orders_2 D) (tptp.v3_orders_2 D) (tptp.v4_orders_2 D) (tptp.v1_lattice3 D) (tptp.v2_lattice3 D) (tptp.l1_orders_2 D)) (forall ((E $$unsorted)) (=> (and (tptp.v2_orders_2 E) (tptp.v3_orders_2 E) (tptp.v4_orders_2 E) (tptp.v1_lattice3 E) (tptp.v2_lattice3 E) (tptp.l1_orders_2 E)) (=> (and (= D B) (= E C)) (tptp.r1_tarski (tptp.k1_altcat_1 A B C) (tptp.k1_orders_3 D E))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_altcat_1 A) (tptp.v11_altcat_1 A) (tptp.v12_altcat_1 A) (tptp.l2_altcat_1 A)) (= (tptp.v3_yellow21 A) (and (tptp.v2_yellow21 A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (and (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.v1_lattice3 B) (tptp.v2_lattice3 B) (tptp.v3_lattice3 B) (tptp.l1_orders_2 B)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_altcat_1 A) (tptp.v11_altcat_1 A) (tptp.v12_altcat_1 A) (tptp.v1_yellow21 A) (tptp.l2_altcat_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (= (tptp.k3_yellow18 A B) (tptp.u1_struct_0 (tptp.k1_yellow21 B))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_altcat_1 A) (tptp.v11_altcat_1 A) (tptp.v12_altcat_1 A) (tptp.v3_yellow18 A) (tptp.v1_yellow21 A) (tptp.l2_altcat_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (= (tptp.k8_altcat_1 A B) (tptp.k7_grcat_1 (tptp.k1_yellow21 B))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_altcat_1 A) (tptp.v11_altcat_1 A) (tptp.v12_altcat_1 A) (tptp.v2_yellow21 A) (tptp.l2_altcat_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (= (tptp.k3_yellow21 A B) B))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_altcat_1 A) (tptp.v11_altcat_1 A) (tptp.v12_altcat_1 A) (tptp.v2_yellow21 A) (tptp.l2_altcat_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)) (=> (not (= (tptp.k1_altcat_1 A B C) tptp.k1_xboole_0)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_altcat_1 A B C)) (= (tptp.k5_yellow21 A B C D) D)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_altcat_1 A) (tptp.v11_altcat_1 A) (tptp.v12_altcat_1 A) (tptp.v2_yellow21 A) (tptp.l2_altcat_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 $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (not (and (not (= (tptp.k1_altcat_1 A B C) tptp.k1_xboole_0)) (not (= (tptp.k1_altcat_1 A C D) tptp.k1_xboole_0)) (not (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.k1_altcat_1 A B C)) (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F (tptp.k1_altcat_1 A C D)) (= (tptp.k5_altcat_1 A B C D E F) (tptp.k7_funct_2 (tptp.u1_struct_0 (tptp.k3_yellow21 A B)) (tptp.u1_struct_0 (tptp.k3_yellow21 A C)) (tptp.u1_struct_0 (tptp.k3_yellow21 A D)) (tptp.k5_yellow21 A B C E) (tptp.k5_yellow21 A C D F)))))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_altcat_1 A) (tptp.v11_altcat_1 A) (tptp.v12_altcat_1 A) (tptp.v2_yellow21 A) (tptp.l2_altcat_1 A)) (= (tptp.v4_yellow21 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 $$unsorted)) (let ((_let_1 (tptp.k3_yellow21 A C))) (let ((_let_2 (tptp.k3_yellow21 A B))) (let ((_let_3 (tptp.u1_struct_0 _let_1))) (let ((_let_4 (tptp.u1_struct_0 _let_2))) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D _let_4 _let_3) (tptp.m2_relset_1 D _let_4 _let_3)) (=> (tptp.v23_waybel_0 D _let_2 _let_1) (tptp.r2_hidden D (tptp.k1_altcat_1 A B C)))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_altcat_1 A) (tptp.v11_altcat_1 A) (tptp.v12_altcat_1 A) (tptp.v2_yellow21 A) (tptp.v4_yellow21 A) (tptp.l2_altcat_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 $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_altcat_1 A B C)) (=> (tptp.v23_waybel_0 (tptp.k5_yellow21 A B C D) (tptp.k3_yellow21 A B) (tptp.k3_yellow21 A C)) (tptp.v3_altcat_3 D A B C)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_altcat_1 A) (tptp.v11_altcat_1 A) (tptp.v12_altcat_1 A) (tptp.v2_yellow21 A) (tptp.l2_altcat_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)) (not (and (not (= (tptp.k1_altcat_1 A B C) tptp.k1_xboole_0)) (not (= (tptp.k1_altcat_1 A C B) tptp.k1_xboole_0)) (exists ((D $$unsorted)) (and (tptp.m1_subset_1 D (tptp.k1_altcat_1 A B C)) (tptp.v3_altcat_3 D A B C) (not (tptp.v23_waybel_0 (tptp.k5_yellow21 A B C D) (tptp.k3_yellow21 A B) (tptp.k3_yellow21 A C))))))))))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (= (tptp.v5_yellow21 A) (exists ((B $$unsorted)) (forall ((C $$unsorted)) (=> (tptp.r2_hidden C (tptp.k3_relat_1 A)) (tptp.r2_hidden (tptp.k4_tarski C B) A))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C) (tptp.v2_funct_1 C)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k1_relat_1 C))) (=> (tptp.v1_relat_1 D) (= (tptp.r2_hidden (tptp.k4_tarski A B) (tptp.k5_relat_1 (tptp.k5_relat_1 C D) (tptp.k2_funct_1 C))) (and (tptp.r2_hidden A _let_1) (tptp.r2_hidden B _let_1) (tptp.r2_hidden (tptp.k4_tarski (tptp.k1_funct_1 C A) (tptp.k1_funct_1 C B)) D)))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.v3_ordinal1 B) (not (and (tptp.r2_wellord2 A B) (forall ((C $$unsorted)) (=> (and (tptp.v1_relat_2 C) (tptp.v4_relat_2 C) (tptp.v8_relat_2 C) (tptp.v1_partfun1 C A A) (tptp.m2_relset_1 C A A)) (not (and (tptp.r2_wellord1 C A) (= (tptp.k2_wellord2 C) B))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.l1_orders_2 A)) (= (tptp.v2_yellow_0 A) (tptp.v5_yellow21 (tptp.u1_orders_2 A))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v2_yellow_0 A) (tptp.l1_orders_2 A)) (=> (tptp.v2_wellord1 (tptp.u1_orders_2 A)) (and (tptp.v16_waybel_0 A) (tptp.v3_lattice3 A) (tptp.v3_waybel_3 A))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v2_yellow_0 A) (tptp.l1_orders_2 A)) (=> (tptp.v2_wellord1 (tptp.u1_orders_2 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 (tptp.r2_orders_2 A C B) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (not (and (tptp.v1_waybel_3 D A) (tptp.r3_orders_2 A C D) (tptp.r3_orders_2 A D B)))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v2_yellow_0 A) (tptp.l1_orders_2 A)) (=> (tptp.v2_wellord1 (tptp.u1_orders_2 A)) (tptp.v2_waybel_8 A)))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (=> (not (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B A) (tptp.v1_xboole_0 B)))) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_altcat_1 B) (tptp.v6_altcat_1 B) (tptp.v11_altcat_1 B) (tptp.v12_altcat_1 B) (tptp.v2_yellow21 B) (tptp.l2_altcat_1 B)) (= (= B (tptp.k6_yellow21 A)) (and (forall ((C $$unsorted)) (=> (and (tptp.v2_orders_2 C) (tptp.v3_orders_2 C) (tptp.v4_orders_2 C) (tptp.v1_lattice3 C) (tptp.v2_lattice3 C) (tptp.l1_orders_2 C)) (= (tptp.m1_subset_1 C (tptp.u1_struct_0 B)) (and (tptp.v1_orders_2 C) (tptp.v3_lattice3 C) (tptp.r2_hidden (tptp.u1_struct_0 C) A))))) (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)) (forall ((E $$unsorted)) (let ((_let_1 (tptp.k3_yellow21 B D))) (let ((_let_2 (tptp.k3_yellow21 B C))) (let ((_let_3 (tptp.u1_struct_0 _let_1))) (let ((_let_4 (tptp.u1_struct_0 _let_2))) (=> (and (tptp.v1_funct_1 E) (tptp.v1_funct_2 E _let_4 _let_3) (tptp.v5_orders_3 E _let_2 _let_1) (tptp.m2_relset_1 E _let_4 _let_3)) (= (tptp.r2_hidden E (tptp.k1_altcat_1 B C D)) (tptp.v22_waybel_0 E _let_2 _let_1))))))))))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v2_setfam_1 A)) (tptp.r1_tarski (tptp.u1_struct_0 (tptp.k6_yellow21 A)) (tptp.k2_yellow21 A)))) (forall ((A $$unsorted)) (=> (not (tptp.v2_setfam_1 A)) (forall ((B $$unsorted)) (= (tptp.m1_subset_1 B (tptp.u1_struct_0 (tptp.k6_yellow21 A))) (and (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.v1_lattice3 B) (tptp.v2_lattice3 B) (tptp.v3_lattice3 B) (tptp.l1_orders_2 B) (tptp.r2_hidden B (tptp.k2_yellow21 A))))))) (forall ((A $$unsorted)) (=> (not (tptp.v2_setfam_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.v1_lattice3 B) (tptp.v2_lattice3 B) (tptp.l1_orders_2 B)) (=> (tptp.r2_hidden (tptp.u1_struct_0 B) A) (= (tptp.m1_subset_1 B (tptp.u1_struct_0 (tptp.k6_yellow21 A))) (and (tptp.v1_orders_2 B) (tptp.v3_lattice3 B)))))))) (forall ((A $$unsorted)) (=> (not (tptp.v2_setfam_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 (tptp.k6_yellow21 A))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 (tptp.k6_yellow21 A))) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k6_yellow21 A))) (let ((_let_2 (tptp.k4_yellow21 _let_1 C))) (let ((_let_3 (tptp.u1_struct_0 _let_2))) (let ((_let_4 (tptp.k4_yellow21 _let_1 B))) (let ((_let_5 (tptp.u1_struct_0 _let_4))) (= (tptp.r2_hidden D (tptp.k1_altcat_1 _let_1 B C)) (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D _let_5 _let_3) (tptp.v22_waybel_0 D _let_4 _let_2) (tptp.m2_relset_1 D _let_5 _let_3))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_altcat_1 A) (tptp.v11_altcat_1 A) (tptp.v12_altcat_1 A) (tptp.l2_altcat_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_altcat_1 B) (tptp.v3_altcat_2 B A) (tptp.m1_altcat_2 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)) (=> (= D C) (= (tptp.k3_yellow18 B D) (tptp.k3_yellow18 A C))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v2_setfam_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k6_yellow21 A))) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_altcat_1 B) (tptp.v6_altcat_1 B) (tptp.v2_altcat_2 B _let_1) (tptp.v3_altcat_2 B _let_1) (tptp.m1_altcat_2 B _let_1)) (= (= B (tptp.k7_yellow21 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k6_yellow21 A))) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 _let_1)) (= (tptp.m1_subset_1 C (tptp.u1_struct_0 B)) (tptp.v3_waybel_3 (tptp.k4_yellow21 _let_1 C)))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v2_setfam_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k7_yellow21 A))) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_altcat_1 B) (tptp.v6_altcat_1 B) (tptp.v2_altcat_2 B _let_1) (tptp.v3_altcat_2 B _let_1) (tptp.m1_altcat_2 B _let_1)) (= (= B (tptp.k8_yellow21 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k7_yellow21 A))) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 _let_1)) (= (tptp.m1_subset_1 C (tptp.u1_struct_0 B)) (tptp.v2_waybel_8 (tptp.k4_yellow21 _let_1 C)))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v2_setfam_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.v1_lattice3 B) (tptp.v2_lattice3 B) (tptp.l1_orders_2 B)) (=> (tptp.r2_hidden (tptp.u1_struct_0 B) A) (= (tptp.m1_subset_1 B (tptp.u1_struct_0 (tptp.k7_yellow21 A))) (and (tptp.v1_orders_2 B) (tptp.v3_lattice3 B) (tptp.v3_waybel_3 B)))))))) (forall ((A $$unsorted)) (=> (not (tptp.v2_setfam_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.v1_lattice3 B) (tptp.v2_lattice3 B) (tptp.l1_orders_2 B)) (=> (tptp.r2_hidden (tptp.u1_struct_0 B) A) (= (tptp.m1_subset_1 B (tptp.u1_struct_0 (tptp.k8_yellow21 A))) (and (tptp.v1_orders_2 B) (tptp.v3_lattice3 B) (tptp.v2_waybel_8 B)))))))) (forall ((A $$unsorted)) (=> (not (tptp.v2_setfam_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 (tptp.k7_yellow21 A))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 (tptp.k7_yellow21 A))) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k7_yellow21 A))) (let ((_let_2 (tptp.k4_yellow21 _let_1 C))) (let ((_let_3 (tptp.u1_struct_0 _let_2))) (let ((_let_4 (tptp.k4_yellow21 _let_1 B))) (let ((_let_5 (tptp.u1_struct_0 _let_4))) (= (tptp.r2_hidden D (tptp.k1_altcat_1 _let_1 B C)) (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D _let_5 _let_3) (tptp.v22_waybel_0 D _let_4 _let_2) (tptp.m2_relset_1 D _let_5 _let_3))))))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v2_setfam_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 (tptp.k8_yellow21 A))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 (tptp.k8_yellow21 A))) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k8_yellow21 A))) (let ((_let_2 (tptp.k4_yellow21 _let_1 C))) (let ((_let_3 (tptp.u1_struct_0 _let_2))) (let ((_let_4 (tptp.k4_yellow21 _let_1 B))) (let ((_let_5 (tptp.u1_struct_0 _let_4))) (= (tptp.r2_hidden D (tptp.k1_altcat_1 _let_1 B C)) (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D _let_5 _let_3) (tptp.v22_waybel_0 D _let_4 _let_2) (tptp.m2_relset_1 D _let_5 _let_3))))))))))))))) (=> (and (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.f1_s1_yellow21) (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 A)))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.v1_lattice3 B) (tptp.v2_lattice3 B) (tptp.l1_orders_2 B)) (forall ((C $$unsorted)) (=> (and (tptp.v2_orders_2 C) (tptp.v3_orders_2 C) (tptp.v4_orders_2 C) (tptp.v1_lattice3 C) (tptp.v2_lattice3 C) (tptp.l1_orders_2 C)) (=> (and (tptp.r2_hidden A tptp.f1_s1_yellow21) (tptp.r2_hidden B tptp.f1_s1_yellow21) (tptp.r2_hidden C tptp.f1_s1_yellow21)) (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.p1_s1_yellow21 A B D) (tptp.p1_s1_yellow21 B C E)) (tptp.p1_s1_yellow21 A C (tptp.k7_funct_2 (tptp.u1_struct_0 A) _let_2 _let_1 D E)))))))))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 A)) (=> (tptp.r2_hidden A tptp.f1_s1_yellow21) (tptp.p1_s1_yellow21 A A (tptp.k7_grcat_1 A)))))) (exists ((A $$unsorted)) (and (not (tptp.v3_struct_0 A)) (tptp.v2_altcat_1 A) (tptp.v6_altcat_1 A) (tptp.v11_altcat_1 A) (tptp.v12_altcat_1 A) (tptp.l2_altcat_1 A) (tptp.v2_yellow21 A) (= (tptp.u1_struct_0 A) tptp.f1_s1_yellow21) (forall ((B $$unsorted)) (=> (and (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.v1_lattice3 B) (tptp.v2_lattice3 B) (tptp.l1_orders_2 B)) (forall ((C $$unsorted)) (=> (and (tptp.v2_orders_2 C) (tptp.v3_orders_2 C) (tptp.v4_orders_2 C) (tptp.v1_lattice3 C) (tptp.v2_lattice3 C) (tptp.l1_orders_2 C)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 C))) (let ((_let_2 (tptp.u1_struct_0 B))) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D _let_2 _let_1) (tptp.v5_orders_3 D B C) (tptp.m2_relset_1 D _let_2 _let_1)) (= (tptp.r2_hidden D (tptp.k1_binop_1 (tptp.u1_altcat_1 A) B C)) (and (tptp.r2_hidden B tptp.f1_s1_yellow21) (tptp.r2_hidden C tptp.f1_s1_yellow21) (tptp.p1_s1_yellow21 B C D)))))))))))))) (=> (and (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.f1_s2_yellow21) (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 A)))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.v1_lattice3 B) (tptp.v2_lattice3 B) (tptp.l1_orders_2 B)) (forall ((C $$unsorted)) (=> (and (tptp.v2_orders_2 C) (tptp.v3_orders_2 C) (tptp.v4_orders_2 C) (tptp.v1_lattice3 C) (tptp.v2_lattice3 C) (tptp.l1_orders_2 C)) (=> (and (tptp.r2_hidden A tptp.f1_s2_yellow21) (tptp.r2_hidden B tptp.f1_s2_yellow21) (tptp.r2_hidden C tptp.f1_s2_yellow21)) (forall ((D $$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 $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 C))) (let ((_let_2 (tptp.u1_struct_0 B))) (=> (and (tptp.v1_funct_1 E) (tptp.v1_funct_2 E _let_2 _let_1) (tptp.m2_relset_1 E _let_2 _let_1)) (=> (and (tptp.p1_s2_yellow21 A B D) (tptp.p1_s2_yellow21 B C E)) (tptp.p1_s2_yellow21 A C (tptp.k7_funct_2 (tptp.u1_struct_0 A) _let_2 _let_1 D E)))))))))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 A)) (=> (tptp.r2_hidden A tptp.f1_s2_yellow21) (tptp.p1_s2_yellow21 A A (tptp.k7_grcat_1 A)))))) (exists ((A $$unsorted)) (and (not (tptp.v3_struct_0 A)) (tptp.v2_altcat_1 A) (tptp.v6_altcat_1 A) (tptp.v11_altcat_1 A) (tptp.v12_altcat_1 A) (tptp.v2_yellow21 A) (tptp.l2_altcat_1 A) (= (tptp.u1_struct_0 A) tptp.f1_s2_yellow21) (forall ((B $$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_yellow21 A C))) (let ((_let_2 (tptp.k3_yellow21 A B))) (let ((_let_3 (tptp.u1_struct_0 _let_1))) (let ((_let_4 (tptp.u1_struct_0 _let_2))) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D _let_4 _let_3) (tptp.v5_orders_3 D _let_2 _let_1) (tptp.m2_relset_1 D _let_4 _let_3)) (= (tptp.r2_hidden D (tptp.k1_altcat_1 A B C)) (tptp.p1_s2_yellow21 _let_2 _let_1 D))))))))))))))) (=> (and (exists ((A $$unsorted)) (and (tptp.v1_orders_2 A) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 A) (tptp.p1_s3_yellow21 A) (tptp.r2_hidden (tptp.u1_struct_0 A) tptp.f1_s3_yellow21))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.v1_lattice3 B) (tptp.v2_lattice3 B) (tptp.l1_orders_2 B)) (forall ((C $$unsorted)) (=> (and (tptp.v2_orders_2 C) (tptp.v3_orders_2 C) (tptp.v4_orders_2 C) (tptp.v1_lattice3 C) (tptp.v2_lattice3 C) (tptp.l1_orders_2 C)) (=> (and (tptp.p1_s3_yellow21 A) (tptp.p1_s3_yellow21 B) (tptp.p1_s3_yellow21 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.p2_s3_yellow21 A B D) (tptp.p2_s3_yellow21 B C E)) (tptp.p2_s3_yellow21 A C (tptp.k7_funct_2 (tptp.u1_struct_0 A) _let_2 _let_1 D E)))))))))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 A)) (=> (tptp.p1_s3_yellow21 A) (tptp.p2_s3_yellow21 A A (tptp.k7_grcat_1 A)))))) (exists ((A $$unsorted)) (and (not (tptp.v3_struct_0 A)) (tptp.v2_altcat_1 A) (tptp.v6_altcat_1 A) (tptp.v11_altcat_1 A) (tptp.v12_altcat_1 A) (tptp.v2_yellow21 A) (tptp.l2_altcat_1 A) (forall ((B $$unsorted)) (=> (and (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.v1_lattice3 B) (tptp.v2_lattice3 B) (tptp.l1_orders_2 B)) (= (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (and (tptp.v1_orders_2 B) (tptp.p1_s3_yellow21 B) (tptp.r2_hidden (tptp.u1_struct_0 B) tptp.f1_s3_yellow21))))) (forall ((B $$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_yellow21 A C))) (let ((_let_2 (tptp.k3_yellow21 A B))) (let ((_let_3 (tptp.u1_struct_0 _let_1))) (let ((_let_4 (tptp.u1_struct_0 _let_2))) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D _let_4 _let_3) (tptp.v5_orders_3 D _let_2 _let_1) (tptp.m2_relset_1 D _let_4 _let_3)) (= (tptp.r2_hidden D (tptp.k1_altcat_1 A B C)) (tptp.p2_s3_yellow21 _let_2 _let_1 D))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_altcat_1 A) (tptp.v11_altcat_1 A) (tptp.v12_altcat_1 A) (tptp.v2_yellow21 A) (tptp.l2_altcat_1 A)) (forall ((B $$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_altcat_1 B) (tptp.v11_altcat_1 B) (tptp.v12_altcat_1 B) (tptp.v2_yellow21 B) (tptp.l2_altcat_1 B)) (=> (and (= _let_2 tptp.f1_s4_yellow21) (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 $$unsorted)) (let ((_let_1 (tptp.k3_yellow21 A D))) (let ((_let_2 (tptp.u1_struct_0 _let_1))) (let ((_let_3 (tptp.k3_yellow21 A C))) (let ((_let_4 (tptp.u1_struct_0 _let_3))) (=> (and (tptp.v1_funct_1 E) (tptp.v1_funct_2 E _let_4 _let_2) (tptp.v5_orders_3 E _let_3 _let_1) (tptp.m2_relset_1 E _let_4 _let_2)) (= (tptp.r2_hidden E (tptp.k1_altcat_1 A C D)) (tptp.p1_s4_yellow21 C D E)))))))))))) (= _let_1 tptp.f1_s4_yellow21) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 B)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 B)) (forall ((E $$unsorted)) (let ((_let_1 (tptp.k3_yellow21 B D))) (let ((_let_2 (tptp.u1_struct_0 _let_1))) (let ((_let_3 (tptp.k3_yellow21 B C))) (let ((_let_4 (tptp.u1_struct_0 _let_3))) (=> (and (tptp.v1_funct_1 E) (tptp.v1_funct_2 E _let_4 _let_2) (tptp.v5_orders_3 E _let_3 _let_1) (tptp.m2_relset_1 E _let_4 _let_2)) (= (tptp.r2_hidden E (tptp.k1_altcat_1 B C D)) (tptp.p1_s4_yellow21 C D E))))))))))))) (= (tptp.g2_altcat_1 _let_2 (tptp.u1_altcat_1 A) (tptp.u2_altcat_1 A)) (tptp.g2_altcat_1 _let_1 (tptp.u1_altcat_1 B) (tptp.u2_altcat_1 B)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_altcat_1 A) (tptp.v11_altcat_1 A) (tptp.v12_altcat_1 A) (tptp.v2_yellow21 A) (tptp.l2_altcat_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_altcat_1 B) (tptp.v11_altcat_1 B) (tptp.v12_altcat_1 B) (tptp.v2_yellow21 B) (tptp.l2_altcat_1 B)) (=> (and (forall ((C $$unsorted)) (=> (and (tptp.v2_orders_2 C) (tptp.v3_orders_2 C) (tptp.v4_orders_2 C) (tptp.v1_lattice3 C) (tptp.v2_lattice3 C) (tptp.l1_orders_2 C)) (= (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (and (tptp.v1_orders_2 C) (tptp.p1_s5_yellow21 C) (tptp.r2_hidden (tptp.u1_struct_0 C) tptp.f1_s5_yellow21))))) (forall ((C $$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_yellow21 A D))) (let ((_let_2 (tptp.u1_struct_0 _let_1))) (let ((_let_3 (tptp.k3_yellow21 A C))) (let ((_let_4 (tptp.u1_struct_0 _let_3))) (=> (and (tptp.v1_funct_1 E) (tptp.v1_funct_2 E _let_4 _let_2) (tptp.v5_orders_3 E _let_3 _let_1) (tptp.m2_relset_1 E _let_4 _let_2)) (= (tptp.r2_hidden E (tptp.k1_altcat_1 A C D)) (tptp.p2_s5_yellow21 C D E)))))))))))) (forall ((C $$unsorted)) (=> (and (tptp.v2_orders_2 C) (tptp.v3_orders_2 C) (tptp.v4_orders_2 C) (tptp.v1_lattice3 C) (tptp.v2_lattice3 C) (tptp.l1_orders_2 C)) (= (tptp.m1_subset_1 C (tptp.u1_struct_0 B)) (and (tptp.v1_orders_2 C) (tptp.p1_s5_yellow21 C) (tptp.r2_hidden (tptp.u1_struct_0 C) tptp.f1_s5_yellow21))))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 B)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 B)) (forall ((E $$unsorted)) (let ((_let_1 (tptp.k3_yellow21 B D))) (let ((_let_2 (tptp.u1_struct_0 _let_1))) (let ((_let_3 (tptp.k3_yellow21 B C))) (let ((_let_4 (tptp.u1_struct_0 _let_3))) (=> (and (tptp.v1_funct_1 E) (tptp.v1_funct_2 E _let_4 _let_2) (tptp.v5_orders_3 E _let_3 _let_1) (tptp.m2_relset_1 E _let_4 _let_2)) (= (tptp.r2_hidden E (tptp.k1_altcat_1 B C D)) (tptp.p2_s5_yellow21 C D E))))))))))))) (= (tptp.g2_altcat_1 (tptp.u1_struct_0 A) (tptp.u1_altcat_1 A) (tptp.u2_altcat_1 A)) (tptp.g2_altcat_1 (tptp.u1_struct_0 B) (tptp.u1_altcat_1 B) (tptp.u2_altcat_1 B)))))))) (=> (and (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.v1_lattice3 B) (tptp.v2_lattice3 B) (tptp.l1_orders_2 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 tptp.f1_s6_yellow21))) (let ((_let_2 (tptp.u1_struct_0 B))) (let ((_let_3 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_3 _let_2) (tptp.m2_relset_1 C _let_3 _let_2)) (= (tptp.r2_hidden C (tptp.k1_binop_1 (tptp.u1_altcat_1 tptp.f1_s6_yellow21) A B)) (and (tptp.r2_hidden A _let_1) (tptp.r2_hidden B _let_1) (tptp.p1_s6_yellow21 A B C)))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.v1_lattice3 B) (tptp.v2_lattice3 B) (tptp.l1_orders_2 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 tptp.f2_s6_yellow21))) (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.r2_hidden C (tptp.k1_binop_1 (tptp.u1_altcat_1 tptp.f2_s6_yellow21) A B)) (and (tptp.r2_hidden A _let_1) (tptp.r2_hidden B _let_1) (tptp.p2_s6_yellow21 A B C)))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 A)) (=> (tptp.r2_hidden A (tptp.u1_struct_0 tptp.f1_s6_yellow21)) (tptp.r2_hidden (tptp.f3_s6_yellow21 A) (tptp.u1_struct_0 tptp.f2_s6_yellow21))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.v1_lattice3 B) (tptp.v2_lattice3 B) (tptp.l1_orders_2 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.f4_s6_yellow21 A B C))) (let ((_let_2 (tptp.f3_s6_yellow21 B))) (let ((_let_3 (tptp.f3_s6_yellow21 A))) (let ((_let_4 (tptp.u1_struct_0 _let_2))) (let ((_let_5 (tptp.u1_struct_0 _let_3))) (let ((_let_6 (tptp.u1_struct_0 B))) (let ((_let_7 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_7 _let_6) (tptp.m2_relset_1 C _let_7 _let_6)) (=> (tptp.p1_s6_yellow21 A B C) (and (tptp.v1_funct_1 _let_1) (tptp.v1_funct_2 _let_1 _let_5 _let_4) (tptp.m2_relset_1 _let_1 _let_5 _let_4) (tptp.p2_s6_yellow21 _let_3 _let_2 _let_1)))))))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 A)) (=> (tptp.r2_hidden A (tptp.u1_struct_0 tptp.f1_s6_yellow21)) (= (tptp.f4_s6_yellow21 A A (tptp.k7_grcat_1 A)) (tptp.k7_grcat_1 (tptp.f3_s6_yellow21 A)))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.v1_lattice3 B) (tptp.v2_lattice3 B) (tptp.l1_orders_2 B)) (forall ((C $$unsorted)) (=> (and (tptp.v2_orders_2 C) (tptp.v3_orders_2 C) (tptp.v4_orders_2 C) (tptp.v1_lattice3 C) (tptp.v2_lattice3 C) (tptp.l1_orders_2 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.p1_s6_yellow21 A B D) (tptp.p1_s6_yellow21 B C E)) (= (tptp.f4_s6_yellow21 A C (tptp.k7_funct_2 (tptp.u1_struct_0 A) _let_2 _let_1 D E)) (tptp.k5_relat_1 (tptp.f4_s6_yellow21 A B D) (tptp.f4_s6_yellow21 B C E))))))))))))))))))) (exists ((A $$unsorted)) (and (tptp.v9_functor0 A tptp.f1_s6_yellow21 tptp.f2_s6_yellow21) (tptp.v15_functor0 A tptp.f1_s6_yellow21 tptp.f2_s6_yellow21) (tptp.m2_functor0 A tptp.f1_s6_yellow21 tptp.f2_s6_yellow21) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 tptp.f1_s6_yellow21)) (= (tptp.k3_functor0 tptp.f1_s6_yellow21 tptp.f2_s6_yellow21 A B) (tptp.f3_s6_yellow21 (tptp.k3_yellow21 tptp.f1_s6_yellow21 B))))) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 tptp.f1_s6_yellow21)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 tptp.f1_s6_yellow21)) (=> (not (= (tptp.k1_altcat_1 tptp.f1_s6_yellow21 B C) tptp.k1_xboole_0)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_altcat_1 tptp.f1_s6_yellow21 B C)) (= (tptp.k6_functor0 tptp.f1_s6_yellow21 tptp.f2_s6_yellow21 A B C D) (tptp.f4_s6_yellow21 (tptp.k3_yellow21 tptp.f1_s6_yellow21 B) (tptp.k3_yellow21 tptp.f1_s6_yellow21 C) (tptp.k5_yellow21 tptp.f1_s6_yellow21 B C D))))))))))))) (=> (and (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.v1_lattice3 B) (tptp.v2_lattice3 B) (tptp.l1_orders_2 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 tptp.f1_s7_yellow21))) (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.r2_hidden C (tptp.k1_binop_1 (tptp.u1_altcat_1 tptp.f1_s7_yellow21) A B)) (and (tptp.r2_hidden A _let_1) (tptp.r2_hidden B _let_1) (tptp.p1_s7_yellow21 A B C)))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.v1_lattice3 B) (tptp.v2_lattice3 B) (tptp.l1_orders_2 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 tptp.f2_s7_yellow21))) (let ((_let_2 (tptp.u1_struct_0 B))) (let ((_let_3 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_3 _let_2) (tptp.m2_relset_1 C _let_3 _let_2)) (= (tptp.r2_hidden C (tptp.k1_binop_1 (tptp.u1_altcat_1 tptp.f2_s7_yellow21) A B)) (and (tptp.r2_hidden A _let_1) (tptp.r2_hidden B _let_1) (tptp.p2_s7_yellow21 A B C)))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 A)) (=> (tptp.r2_hidden A (tptp.u1_struct_0 tptp.f1_s7_yellow21)) (tptp.r2_hidden (tptp.f3_s7_yellow21 A) (tptp.u1_struct_0 tptp.f2_s7_yellow21))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.v1_lattice3 B) (tptp.v2_lattice3 B) (tptp.l1_orders_2 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.f4_s7_yellow21 A B C))) (let ((_let_2 (tptp.f3_s7_yellow21 A))) (let ((_let_3 (tptp.f3_s7_yellow21 B))) (let ((_let_4 (tptp.u1_struct_0 _let_2))) (let ((_let_5 (tptp.u1_struct_0 _let_3))) (let ((_let_6 (tptp.u1_struct_0 B))) (let ((_let_7 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_7 _let_6) (tptp.m2_relset_1 C _let_7 _let_6)) (=> (tptp.p1_s7_yellow21 A B C) (and (tptp.v1_funct_1 _let_1) (tptp.v1_funct_2 _let_1 _let_5 _let_4) (tptp.m2_relset_1 _let_1 _let_5 _let_4) (tptp.p2_s7_yellow21 _let_3 _let_2 _let_1)))))))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 A)) (=> (tptp.r2_hidden A (tptp.u1_struct_0 tptp.f1_s7_yellow21)) (= (tptp.f4_s7_yellow21 A A (tptp.k7_grcat_1 A)) (tptp.k7_grcat_1 (tptp.f3_s7_yellow21 A)))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.v1_lattice3 B) (tptp.v2_lattice3 B) (tptp.l1_orders_2 B)) (forall ((C $$unsorted)) (=> (and (tptp.v2_orders_2 C) (tptp.v3_orders_2 C) (tptp.v4_orders_2 C) (tptp.v1_lattice3 C) (tptp.v2_lattice3 C) (tptp.l1_orders_2 C)) (forall ((D $$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 $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 C))) (let ((_let_2 (tptp.u1_struct_0 B))) (=> (and (tptp.v1_funct_1 E) (tptp.v1_funct_2 E _let_2 _let_1) (tptp.m2_relset_1 E _let_2 _let_1)) (=> (and (tptp.p1_s7_yellow21 A B D) (tptp.p1_s7_yellow21 B C E)) (= (tptp.f4_s7_yellow21 A C (tptp.k7_funct_2 (tptp.u1_struct_0 A) _let_2 _let_1 D E)) (tptp.k5_relat_1 (tptp.f4_s7_yellow21 B C E) (tptp.f4_s7_yellow21 A B D))))))))))))))))))) (exists ((A $$unsorted)) (and (tptp.v9_functor0 A tptp.f1_s7_yellow21 tptp.f2_s7_yellow21) (tptp.v16_functor0 A tptp.f1_s7_yellow21 tptp.f2_s7_yellow21) (tptp.m2_functor0 A tptp.f1_s7_yellow21 tptp.f2_s7_yellow21) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 tptp.f1_s7_yellow21)) (= (tptp.k3_functor0 tptp.f1_s7_yellow21 tptp.f2_s7_yellow21 A B) (tptp.f3_s7_yellow21 (tptp.k3_yellow21 tptp.f1_s7_yellow21 B))))) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 tptp.f1_s7_yellow21)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 tptp.f1_s7_yellow21)) (=> (not (= (tptp.k1_altcat_1 tptp.f1_s7_yellow21 B C) tptp.k1_xboole_0)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_altcat_1 tptp.f1_s7_yellow21 B C)) (= (tptp.k8_functor0 tptp.f1_s7_yellow21 tptp.f2_s7_yellow21 A B C D) (tptp.f4_s7_yellow21 (tptp.k3_yellow21 tptp.f1_s7_yellow21 B) (tptp.k3_yellow21 tptp.f1_s7_yellow21 C) (tptp.k5_yellow21 tptp.f1_s7_yellow21 B C D))))))))))))) (=> (and (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.v1_lattice3 B) (tptp.v2_lattice3 B) (tptp.l1_orders_2 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 tptp.f1_s8_yellow21))) (let ((_let_2 (tptp.u1_struct_0 B))) (let ((_let_3 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_3 _let_2) (tptp.m2_relset_1 C _let_3 _let_2)) (= (tptp.r2_hidden C (tptp.k1_binop_1 (tptp.u1_altcat_1 tptp.f1_s8_yellow21) A B)) (and (tptp.r2_hidden A _let_1) (tptp.r2_hidden B _let_1) (tptp.p1_s8_yellow21 A B C)))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.v1_lattice3 B) (tptp.v2_lattice3 B) (tptp.l1_orders_2 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 tptp.f2_s8_yellow21))) (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.r2_hidden C (tptp.k1_binop_1 (tptp.u1_altcat_1 tptp.f2_s8_yellow21) A B)) (and (tptp.r2_hidden A _let_1) (tptp.r2_hidden B _let_1) (tptp.p2_s8_yellow21 A B C)))))))))))) (exists ((A $$unsorted)) (and (tptp.v15_functor0 A tptp.f1_s8_yellow21 tptp.f2_s8_yellow21) (tptp.m2_functor0 A tptp.f1_s8_yellow21 tptp.f2_s8_yellow21) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 tptp.f1_s8_yellow21)) (= (tptp.k3_functor0 tptp.f1_s8_yellow21 tptp.f2_s8_yellow21 A B) (tptp.f3_s8_yellow21 B)))) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 tptp.f1_s8_yellow21)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 tptp.f1_s8_yellow21)) (=> (not (= (tptp.k1_altcat_1 tptp.f1_s8_yellow21 B C) tptp.k1_xboole_0)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_altcat_1 tptp.f1_s8_yellow21 B C)) (= (tptp.k6_functor0 tptp.f1_s8_yellow21 tptp.f2_s8_yellow21 A B C D) (tptp.f4_s8_yellow21 B C D))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 tptp.f1_s8_yellow21))) (=> (and (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.v1_lattice3 B) (tptp.v2_lattice3 B) (tptp.l1_orders_2 B)) (=> (and (tptp.r2_hidden A _let_1) (tptp.r2_hidden B _let_1) (= (tptp.f3_s8_yellow21 A) (tptp.f3_s8_yellow21 B))) (= A B))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.v1_lattice3 B) (tptp.v2_lattice3 B) (tptp.l1_orders_2 B)) (forall ((C $$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)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D _let_2 _let_1) (tptp.m2_relset_1 D _let_2 _let_1)) (=> (and (tptp.p1_s8_yellow21 A B C) (tptp.p1_s8_yellow21 A B D) (= (tptp.f4_s8_yellow21 A B C) (tptp.f4_s8_yellow21 A B D))) (= C D)))))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.v1_lattice3 B) (tptp.v2_lattice3 B) (tptp.l1_orders_2 B)) (forall ((C $$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)) (not (and (tptp.p2_s8_yellow21 A B C) (forall ((D $$unsorted)) (=> (and (tptp.v2_orders_2 D) (tptp.v3_orders_2 D) (tptp.v4_orders_2 D) (tptp.v1_lattice3 D) (tptp.v2_lattice3 D) (tptp.l1_orders_2 D)) (forall ((E $$unsorted)) (=> (and (tptp.v2_orders_2 E) (tptp.v3_orders_2 E) (tptp.v4_orders_2 E) (tptp.v1_lattice3 E) (tptp.v2_lattice3 E) (tptp.l1_orders_2 E)) (forall ((F $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 tptp.f1_s8_yellow21))) (let ((_let_2 (tptp.u1_struct_0 E))) (let ((_let_3 (tptp.u1_struct_0 D))) (=> (and (tptp.v1_funct_1 F) (tptp.v1_funct_2 F _let_3 _let_2) (tptp.m2_relset_1 F _let_3 _let_2)) (not (and (tptp.r2_hidden D _let_1) (tptp.r2_hidden E _let_1) (tptp.p1_s8_yellow21 D E F) (= A (tptp.f3_s8_yellow21 D)) (= B (tptp.f3_s8_yellow21 E)) (= C (tptp.f4_s8_yellow21 D E F)))))))))))))))))))))))) (tptp.r1_functor0 tptp.f1_s8_yellow21 tptp.f2_s8_yellow21)) (=> (and (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.v1_lattice3 B) (tptp.v2_lattice3 B) (tptp.l1_orders_2 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 tptp.f1_s9_yellow21))) (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.r2_hidden C (tptp.k1_binop_1 (tptp.u1_altcat_1 tptp.f1_s9_yellow21) A B)) (and (tptp.r2_hidden A _let_1) (tptp.r2_hidden B _let_1) (tptp.p1_s9_yellow21 A B C)))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.v1_lattice3 B) (tptp.v2_lattice3 B) (tptp.l1_orders_2 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 tptp.f2_s9_yellow21))) (let ((_let_2 (tptp.u1_struct_0 B))) (let ((_let_3 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_3 _let_2) (tptp.m2_relset_1 C _let_3 _let_2)) (= (tptp.r2_hidden C (tptp.k1_binop_1 (tptp.u1_altcat_1 tptp.f2_s9_yellow21) A B)) (and (tptp.r2_hidden A _let_1) (tptp.r2_hidden B _let_1) (tptp.p2_s9_yellow21 A B C)))))))))))) (exists ((A $$unsorted)) (and (tptp.v16_functor0 A tptp.f1_s9_yellow21 tptp.f2_s9_yellow21) (tptp.m2_functor0 A tptp.f1_s9_yellow21 tptp.f2_s9_yellow21) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 tptp.f1_s9_yellow21)) (= (tptp.k3_functor0 tptp.f1_s9_yellow21 tptp.f2_s9_yellow21 A B) (tptp.f3_s9_yellow21 B)))) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 tptp.f1_s9_yellow21)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 tptp.f1_s9_yellow21)) (=> (not (= (tptp.k1_altcat_1 tptp.f1_s9_yellow21 B C) tptp.k1_xboole_0)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_altcat_1 tptp.f1_s9_yellow21 B C)) (= (tptp.k8_functor0 tptp.f1_s9_yellow21 tptp.f2_s9_yellow21 A B C D) (tptp.f4_s9_yellow21 B C D))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 tptp.f1_s9_yellow21))) (=> (and (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.v1_lattice3 B) (tptp.v2_lattice3 B) (tptp.l1_orders_2 B)) (=> (and (tptp.r2_hidden A _let_1) (tptp.r2_hidden B _let_1) (= (tptp.f3_s9_yellow21 A) (tptp.f3_s9_yellow21 B))) (= A B))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.v1_lattice3 B) (tptp.v2_lattice3 B) (tptp.l1_orders_2 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.m2_relset_1 C _let_2 _let_1)) (forall ((D $$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)) (=> (= (tptp.f4_s9_yellow21 A B C) (tptp.f4_s9_yellow21 A B D)) (= C D)))))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.v1_lattice3 B) (tptp.v2_lattice3 B) (tptp.l1_orders_2 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.m2_relset_1 C _let_2 _let_1)) (not (and (tptp.p2_s9_yellow21 A B C) (forall ((D $$unsorted)) (=> (and (tptp.v2_orders_2 D) (tptp.v3_orders_2 D) (tptp.v4_orders_2 D) (tptp.v1_lattice3 D) (tptp.v2_lattice3 D) (tptp.l1_orders_2 D)) (forall ((E $$unsorted)) (=> (and (tptp.v2_orders_2 E) (tptp.v3_orders_2 E) (tptp.v4_orders_2 E) (tptp.v1_lattice3 E) (tptp.v2_lattice3 E) (tptp.l1_orders_2 E)) (forall ((F $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 tptp.f1_s9_yellow21))) (let ((_let_2 (tptp.u1_struct_0 E))) (let ((_let_3 (tptp.u1_struct_0 D))) (=> (and (tptp.v1_funct_1 F) (tptp.v1_funct_2 F _let_3 _let_2) (tptp.m2_relset_1 F _let_3 _let_2)) (not (and (tptp.r2_hidden D _let_1) (tptp.r2_hidden E _let_1) (tptp.p1_s9_yellow21 D E F) (= B (tptp.f3_s9_yellow21 D)) (= A (tptp.f3_s9_yellow21 E)) (= C (tptp.f4_s9_yellow21 D E F)))))))))))))))))))))))) (tptp.r2_functor0 tptp.f1_s9_yellow21 tptp.f2_s9_yellow21)) (=> (and (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A (tptp.u1_struct_0 tptp.f1_s10_yellow21)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 tptp.f1_s10_yellow21)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k3_yellow21 tptp.f1_s10_yellow21 B))) (let ((_let_2 (tptp.k3_yellow21 tptp.f1_s10_yellow21 A))) (let ((_let_3 (tptp.u1_struct_0 _let_1))) (let ((_let_4 (tptp.u1_struct_0 _let_2))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_4 _let_3) (tptp.v5_orders_3 C _let_2 _let_1) (tptp.m2_relset_1 C _let_4 _let_3)) (= (tptp.r2_hidden C (tptp.k1_altcat_1 tptp.f1_s10_yellow21 A B)) (tptp.p1_s10_yellow21 _let_2 _let_1 C)))))))))))) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A (tptp.u1_struct_0 tptp.f2_s10_yellow21)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 tptp.f2_s10_yellow21)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k3_yellow21 tptp.f2_s10_yellow21 B))) (let ((_let_2 (tptp.k3_yellow21 tptp.f2_s10_yellow21 A))) (let ((_let_3 (tptp.u1_struct_0 _let_1))) (let ((_let_4 (tptp.u1_struct_0 _let_2))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_4 _let_3) (tptp.v5_orders_3 C _let_2 _let_1) (tptp.m2_relset_1 C _let_4 _let_3)) (= (tptp.r2_hidden C (tptp.k1_altcat_1 tptp.f2_s10_yellow21 A B)) (tptp.p2_s10_yellow21 _let_2 _let_1 C)))))))))))) (exists ((A $$unsorted)) (and (tptp.v15_functor0 A tptp.f1_s10_yellow21 tptp.f2_s10_yellow21) (tptp.m2_functor0 A tptp.f1_s10_yellow21 tptp.f2_s10_yellow21) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 tptp.f1_s10_yellow21)) (= (tptp.k3_functor0 tptp.f1_s10_yellow21 tptp.f2_s10_yellow21 A B) (tptp.f3_s10_yellow21 B)))) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 tptp.f1_s10_yellow21)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 tptp.f1_s10_yellow21)) (=> (not (= (tptp.k1_altcat_1 tptp.f1_s10_yellow21 B C) tptp.k1_xboole_0)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_altcat_1 tptp.f1_s10_yellow21 B C)) (= (tptp.k6_functor0 tptp.f1_s10_yellow21 tptp.f2_s10_yellow21 A B C D) (tptp.f5_s10_yellow21 B C D))))))))))) (exists ((A $$unsorted)) (and (tptp.v15_functor0 A tptp.f2_s10_yellow21 tptp.f1_s10_yellow21) (tptp.m2_functor0 A tptp.f2_s10_yellow21 tptp.f1_s10_yellow21) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 tptp.f2_s10_yellow21)) (= (tptp.k3_functor0 tptp.f2_s10_yellow21 tptp.f1_s10_yellow21 A B) (tptp.f4_s10_yellow21 B)))) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 tptp.f2_s10_yellow21)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 tptp.f2_s10_yellow21)) (=> (not (= (tptp.k1_altcat_1 tptp.f2_s10_yellow21 B C) tptp.k1_xboole_0)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_altcat_1 tptp.f2_s10_yellow21 B C)) (= (tptp.k6_functor0 tptp.f2_s10_yellow21 tptp.f1_s10_yellow21 A B C D) (tptp.f6_s10_yellow21 B C D))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 A)) (not (and (tptp.r2_hidden A (tptp.u1_struct_0 tptp.f1_s10_yellow21)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.f4_s10_yellow21 (tptp.f3_s10_yellow21 A)))) (let ((_let_2 (tptp.u1_struct_0 A))) (let ((_let_3 (tptp.u1_struct_0 _let_1))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_3 _let_2) (tptp.v5_orders_3 B _let_1 A) (tptp.m2_relset_1 B _let_3 _let_2)) (not (and (= B (tptp.f7_s10_yellow21 A)) (tptp.v23_waybel_0 B _let_1 A) (tptp.p1_s10_yellow21 _let_1 A B) (tptp.p1_s10_yellow21 A _let_1 (tptp.k2_funct_1 B))))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 A)) (not (and (tptp.r2_hidden A (tptp.u1_struct_0 tptp.f2_s10_yellow21)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.f3_s10_yellow21 (tptp.f4_s10_yellow21 A)))) (let ((_let_2 (tptp.u1_struct_0 _let_1))) (let ((_let_3 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_3 _let_2) (tptp.v5_orders_3 B A _let_1) (tptp.m2_relset_1 B _let_3 _let_2)) (not (and (= B (tptp.f8_s10_yellow21 A)) (tptp.v23_waybel_0 B A _let_1) (tptp.p2_s10_yellow21 A _let_1 B) (tptp.p2_s10_yellow21 _let_1 A (tptp.k2_funct_1 B))))))))))))) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A (tptp.u1_struct_0 tptp.f1_s10_yellow21)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 tptp.f1_s10_yellow21)) (=> (not (= (tptp.k1_altcat_1 tptp.f1_s10_yellow21 A B) tptp.k1_xboole_0)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_altcat_1 tptp.f1_s10_yellow21 A B)) (= (tptp.k5_relat_1 (tptp.f6_s10_yellow21 (tptp.f3_s10_yellow21 A) (tptp.f3_s10_yellow21 B) (tptp.f5_s10_yellow21 A B C)) (tptp.f7_s10_yellow21 B)) (tptp.k5_relat_1 (tptp.f7_s10_yellow21 A) (tptp.k5_yellow21 tptp.f1_s10_yellow21 A B C)))))))))) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A (tptp.u1_struct_0 tptp.f2_s10_yellow21)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 tptp.f2_s10_yellow21)) (=> (not (= (tptp.k1_altcat_1 tptp.f2_s10_yellow21 A B) tptp.k1_xboole_0)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_altcat_1 tptp.f2_s10_yellow21 A B)) (= (tptp.k5_relat_1 (tptp.f8_s10_yellow21 A) (tptp.f5_s10_yellow21 (tptp.f4_s10_yellow21 A) (tptp.f4_s10_yellow21 B) (tptp.f6_s10_yellow21 A B C))) (tptp.k5_relat_1 (tptp.k5_yellow21 tptp.f2_s10_yellow21 A B C) (tptp.f8_s10_yellow21 B))))))))))) (tptp.r1_yellow18 tptp.f1_s10_yellow21 tptp.f2_s10_yellow21)) (forall ((A $$unsorted)) (tptp.l1_struct_0 (tptp.k1_yellow21 A))) true (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k3_yellow21 A B))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_altcat_1 A) (tptp.v11_altcat_1 A) (tptp.v12_altcat_1 A) (tptp.v2_yellow21 A) (tptp.l2_altcat_1 A) (tptp.m1_subset_1 B (tptp.u1_struct_0 A))) (and (tptp.v2_orders_2 _let_1) (tptp.v3_orders_2 _let_1) (tptp.v4_orders_2 _let_1) (tptp.v1_lattice3 _let_1) (tptp.v2_lattice3 _let_1) (tptp.l1_orders_2 _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_altcat_1 A) (tptp.v11_altcat_1 A) (tptp.v12_altcat_1 A) (tptp.v2_yellow21 A) (tptp.l2_altcat_1 A) (tptp.m1_subset_1 B (tptp.u1_struct_0 A))) (= (tptp.k3_yellow21 A B) (tptp.k1_yellow21 B)))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k4_yellow21 A B))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_altcat_1 A) (tptp.v11_altcat_1 A) (tptp.v12_altcat_1 A) (tptp.v3_yellow21 A) (tptp.l2_altcat_1 A) (tptp.m1_subset_1 B (tptp.u1_struct_0 A))) (and (tptp.v2_orders_2 _let_1) (tptp.v3_orders_2 _let_1) (tptp.v4_orders_2 _let_1) (tptp.v1_lattice3 _let_1) (tptp.v2_lattice3 _let_1) (tptp.v3_lattice3 _let_1) (tptp.l1_orders_2 _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_altcat_1 A) (tptp.v11_altcat_1 A) (tptp.v12_altcat_1 A) (tptp.v3_yellow21 A) (tptp.l2_altcat_1 A) (tptp.m1_subset_1 B (tptp.u1_struct_0 A))) (= (tptp.k4_yellow21 A B) (tptp.k1_yellow21 B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k3_yellow21 A C))) (let ((_let_2 (tptp.u1_struct_0 _let_1))) (let ((_let_3 (tptp.k3_yellow21 A B))) (let ((_let_4 (tptp.u1_struct_0 _let_3))) (let ((_let_5 (tptp.k5_yellow21 A B C D))) (let ((_let_6 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_altcat_1 A) (tptp.v11_altcat_1 A) (tptp.v12_altcat_1 A) (tptp.v2_yellow21 A) (tptp.l2_altcat_1 A) (tptp.m1_subset_1 B _let_6) (tptp.m1_subset_1 C _let_6) (tptp.m1_subset_1 D (tptp.k1_altcat_1 A B C))) (and (tptp.v1_funct_1 _let_5) (tptp.v1_funct_2 _let_5 _let_4 _let_2) (tptp.v5_orders_3 _let_5 _let_3 _let_1) (tptp.m2_relset_1 _let_5 _let_4 _let_2)))))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k6_yellow21 A))) (=> (not (tptp.v1_xboole_0 A)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v2_altcat_1 _let_1) (tptp.v6_altcat_1 _let_1) (tptp.v11_altcat_1 _let_1) (tptp.v12_altcat_1 _let_1) (tptp.v2_yellow21 _let_1) (tptp.l2_altcat_1 _let_1))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k6_yellow21 A))) (let ((_let_2 (tptp.k7_yellow21 A))) (=> (not (tptp.v2_setfam_1 A)) (and (not (tptp.v3_struct_0 _let_2)) (tptp.v2_altcat_1 _let_2) (tptp.v6_altcat_1 _let_2) (tptp.v2_altcat_2 _let_2 _let_1) (tptp.v3_altcat_2 _let_2 _let_1) (tptp.m1_altcat_2 _let_2 _let_1)))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k7_yellow21 A))) (let ((_let_2 (tptp.k8_yellow21 A))) (=> (not (tptp.v2_setfam_1 A)) (and (not (tptp.v3_struct_0 _let_2)) (tptp.v2_altcat_1 _let_2) (tptp.v6_altcat_1 _let_2) (tptp.v2_altcat_2 _let_2 _let_1) (tptp.v3_altcat_2 _let_2 _let_1) (tptp.m1_altcat_2 _let_2 _let_1)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_lattice3 A) (tptp.l1_orders_2 A) (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.v1_lattice3 B) (tptp.v2_lattice3 B) (tptp.v3_lattice3 B) (tptp.l1_orders_2 B)) (exists ((C $$unsorted)) (and (tptp.m1_waybel_1 C A B) (tptp.v3_waybel_1 C A B))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k1_waybel34 A B C))) (let ((_let_2 (tptp.u1_struct_0 A))) (let ((_let_3 (tptp.u1_struct_0 B))) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_lattice3 A) (tptp.l1_orders_2 A) (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.v1_lattice3 B) (tptp.v2_lattice3 B) (tptp.v3_lattice3 B) (tptp.l1_orders_2 B) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_3) (tptp.v17_waybel_0 C A B) (tptp.m1_relset_1 C _let_2 _let_3)) (and (tptp.v1_relat_1 _let_1) (tptp.v1_funct_1 _let_1) (not (tptp.v1_xboole_0 _let_1)) (tptp.v1_funct_2 _let_1 _let_3 _let_2) (tptp.v1_partfun1 _let_1 _let_3 _let_2) (tptp.v18_waybel_0 _let_1 B A) (tptp.v20_waybel_0 _let_1 B A) (tptp.v22_waybel_0 _let_1 B A) (tptp.v5_waybel_1 _let_1 A B) (tptp.v5_orders_3 _let_1 B A))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k2_waybel34 A B C))) (let ((_let_2 (tptp.u1_struct_0 B))) (let ((_let_3 (tptp.u1_struct_0 A))) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_lattice3 A) (tptp.l1_orders_2 A) (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.v1_lattice3 B) (tptp.v2_lattice3 B) (tptp.v3_lattice3 B) (tptp.l1_orders_2 B) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_3) (tptp.v18_waybel_0 C B A) (tptp.m1_relset_1 C _let_2 _let_3)) (and (tptp.v1_relat_1 _let_1) (tptp.v1_funct_1 _let_1) (not (tptp.v1_xboole_0 _let_1)) (tptp.v1_funct_2 _let_1 _let_3 _let_2) (tptp.v1_partfun1 _let_1 _let_3 _let_2) (tptp.v17_waybel_0 _let_1 A B) (tptp.v19_waybel_0 _let_1 A B) (tptp.v21_waybel_0 _let_1 A B) (tptp.v4_waybel_1 _let_1 A B) (tptp.v5_orders_3 _let_1 A B))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k7_lattice3 B))) (let ((_let_2 (tptp.k7_lattice3 A))) (let ((_let_3 (tptp.k3_waybel34 A B C))) (let ((_let_4 (tptp.u1_struct_0 _let_1))) (let ((_let_5 (tptp.u1_struct_0 _let_2))) (let ((_let_6 (tptp.u1_struct_0 B))) (let ((_let_7 (tptp.u1_struct_0 A))) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_lattice3 A) (tptp.l1_orders_2 A) (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.v1_lattice3 B) (tptp.v2_lattice3 B) (tptp.v3_lattice3 B) (tptp.l1_orders_2 B) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_7 _let_6) (tptp.v17_waybel_0 C A B) (tptp.m1_relset_1 C _let_7 _let_6)) (and (tptp.v1_relat_1 _let_3) (tptp.v1_funct_1 _let_3) (not (tptp.v1_xboole_0 _let_3)) (tptp.v1_funct_2 _let_3 _let_5 _let_4) (tptp.v1_partfun1 _let_3 _let_5 _let_4) (tptp.v18_waybel_0 _let_3 _let_2 _let_1) (tptp.v20_waybel_0 _let_3 _let_2 _let_1) (tptp.v22_waybel_0 _let_3 _let_2 _let_1) (tptp.v5_waybel_1 _let_3 _let_1 _let_2) (tptp.v5_orders_3 _let_3 _let_2 _let_1))))))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k7_lattice3 B))) (let ((_let_2 (tptp.k7_lattice3 A))) (let ((_let_3 (tptp.k3_waybel34 A B C))) (let ((_let_4 (tptp.u1_struct_0 _let_1))) (let ((_let_5 (tptp.u1_struct_0 _let_2))) (let ((_let_6 (tptp.u1_struct_0 B))) (let ((_let_7 (tptp.u1_struct_0 A))) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_lattice3 A) (tptp.l1_orders_2 A) (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.v1_lattice3 B) (tptp.v2_lattice3 B) (tptp.v3_lattice3 B) (tptp.l1_orders_2 B) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_7 _let_6) (tptp.v18_waybel_0 C A B) (tptp.m1_relset_1 C _let_7 _let_6)) (and (tptp.v1_relat_1 _let_3) (tptp.v1_funct_1 _let_3) (not (tptp.v1_xboole_0 _let_3)) (tptp.v1_funct_2 _let_3 _let_5 _let_4) (tptp.v1_partfun1 _let_3 _let_5 _let_4) (tptp.v17_waybel_0 _let_3 _let_2 _let_1) (tptp.v19_waybel_0 _let_3 _let_2 _let_1) (tptp.v21_waybel_0 _let_3 _let_2 _let_1) (tptp.v4_waybel_1 _let_3 _let_2 _let_1) (tptp.v5_orders_3 _let_3 _let_2 _let_1))))))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k4_waybel34 A))) (=> (not (tptp.v2_setfam_1 A)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v2_altcat_1 _let_1) (tptp.v6_altcat_1 _let_1) (tptp.v9_altcat_1 _let_1) (tptp.v11_altcat_1 _let_1) (tptp.v12_altcat_1 _let_1) (tptp.v1_altcat_2 _let_1) (tptp.v2_yellow18 _let_1) (tptp.v3_yellow18 _let_1) (tptp.v4_yellow18 _let_1) (tptp.v1_yellow21 _let_1) (tptp.v2_yellow21 _let_1) (tptp.v3_yellow21 _let_1))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k5_waybel34 A))) (=> (not (tptp.v2_setfam_1 A)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v2_altcat_1 _let_1) (tptp.v6_altcat_1 _let_1) (tptp.v9_altcat_1 _let_1) (tptp.v11_altcat_1 _let_1) (tptp.v12_altcat_1 _let_1) (tptp.v1_altcat_2 _let_1) (tptp.v2_yellow18 _let_1) (tptp.v3_yellow18 _let_1) (tptp.v4_yellow18 _let_1) (tptp.v1_yellow21 _let_1) (tptp.v2_yellow21 _let_1) (tptp.v3_yellow21 _let_1))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k5_waybel34 A))) (let ((_let_2 (tptp.k4_waybel34 A))) (let ((_let_3 (tptp.k6_waybel34 A))) (=> (not (tptp.v2_setfam_1 A)) (and (tptp.v6_functor0 _let_3 _let_2 _let_1) (tptp.v8_functor0 _let_3 _let_2 _let_1) (tptp.v9_functor0 _let_3 _let_2 _let_1) (tptp.v11_functor0 _let_3 _let_2 _let_1) (tptp.v12_functor0 _let_3 _let_2 _let_1) (tptp.v14_functor0 _let_3 _let_2 _let_1) (tptp.v16_functor0 _let_3 _let_2 _let_1) (tptp.v21_functor0 _let_3 _let_2 _let_1))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k4_waybel34 A))) (let ((_let_2 (tptp.k5_waybel34 A))) (let ((_let_3 (tptp.k7_waybel34 A))) (=> (not (tptp.v2_setfam_1 A)) (and (tptp.v6_functor0 _let_3 _let_2 _let_1) (tptp.v8_functor0 _let_3 _let_2 _let_1) (tptp.v9_functor0 _let_3 _let_2 _let_1) (tptp.v11_functor0 _let_3 _let_2 _let_1) (tptp.v12_functor0 _let_3 _let_2 _let_1) (tptp.v14_functor0 _let_3 _let_2 _let_1) (tptp.v16_functor0 _let_3 _let_2 _let_1) (tptp.v21_functor0 _let_3 _let_2 _let_1))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k2_yellow_2 A B C))) (let ((_let_2 (tptp.u1_struct_0 B))) (let ((_let_3 (tptp.u1_struct_0 A))) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_lattice3 A) (tptp.l1_orders_2 A) (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.v1_lattice3 B) (tptp.v2_lattice3 B) (tptp.v3_lattice3 B) (tptp.l1_orders_2 B) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_3 _let_2) (tptp.v18_waybel_0 C A B) (tptp.m1_relset_1 C _let_3 _let_2)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v1_orders_2 _let_1) (tptp.v2_orders_2 _let_1) (tptp.v3_orders_2 _let_1) (tptp.v4_orders_2 _let_1) (tptp.v1_yellow_0 _let_1) (tptp.v2_yellow_0 _let_1) (tptp.v3_yellow_0 _let_1) (tptp.v4_yellow_0 _let_1 B) (tptp.v24_waybel_0 _let_1) (tptp.v25_waybel_0 _let_1) (tptp.v1_lattice3 _let_1) (tptp.v2_lattice3 _let_1) (tptp.v3_lattice3 _let_1))))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k2_yellow_2 A A B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_lattice3 A) (tptp.l1_orders_2 A) (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_2 _let_2) (tptp.v6_waybel_1 B A) (tptp.m1_relset_1 B _let_2 _let_2)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v1_orders_2 _let_1) (tptp.v2_orders_2 _let_1) (tptp.v3_orders_2 _let_1) (tptp.v4_orders_2 _let_1) (tptp.v1_yellow_0 _let_1) (tptp.v2_yellow_0 _let_1) (tptp.v3_yellow_0 _let_1) (tptp.v4_yellow_0 _let_1 A) (tptp.v24_waybel_0 _let_1) (tptp.v25_waybel_0 _let_1) (tptp.v1_lattice3 _let_1) (tptp.v2_lattice3 _let_1) (tptp.v3_lattice3 _let_1)))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k3_borsuk_1 A B (tptp.k4_yellow_0 B)))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A) (not (tptp.v3_struct_0 B)) (tptp.v2_orders_2 B) (tptp.v4_orders_2 B) (tptp.v2_yellow_0 B) (tptp.l1_orders_2 B)) (and (tptp.v1_relat_1 _let_1) (tptp.v1_funct_1 _let_1) (tptp.v1_funct_2 _let_1 (tptp.u1_struct_0 A) (tptp.u1_struct_0 B)) (tptp.v17_waybel_0 _let_1 A B) (tptp.v19_waybel_0 _let_1 A B) (tptp.v21_waybel_0 _let_1 A B) (tptp.v22_waybel_0 _let_1 A B))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k3_borsuk_1 A B (tptp.k3_yellow_0 B)))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A) (not (tptp.v3_struct_0 B)) (tptp.v2_orders_2 B) (tptp.v4_orders_2 B) (tptp.v1_yellow_0 B) (tptp.l1_orders_2 B)) (and (tptp.v1_relat_1 _let_1) (tptp.v1_funct_1 _let_1) (tptp.v1_funct_2 _let_1 (tptp.u1_struct_0 A) (tptp.u1_struct_0 B)) (tptp.v18_waybel_0 _let_1 A B) (tptp.v20_waybel_0 _let_1 A B) (tptp.v21_waybel_0 _let_1 A B) (tptp.v22_waybel_0 _let_1 A B))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A) (not (tptp.v3_struct_0 B)) (tptp.v2_orders_2 B) (tptp.v4_orders_2 B) (tptp.v2_yellow_0 B) (tptp.l1_orders_2 B)) (exists ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (and (tptp.m1_relset_1 C _let_2 _let_1) (tptp.v1_relat_1 C) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.v17_waybel_0 C A B) (tptp.v19_waybel_0 C A B) (tptp.v21_waybel_0 C A B) (tptp.v22_waybel_0 C A B))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A) (not (tptp.v3_struct_0 B)) (tptp.v2_orders_2 B) (tptp.v4_orders_2 B) (tptp.v1_yellow_0 B) (tptp.l1_orders_2 B)) (exists ((C $$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) (tptp.v1_relat_1 C) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.v18_waybel_0 C A B) (tptp.v20_waybel_0 C A B) (tptp.v21_waybel_0 C A B) (tptp.v22_waybel_0 C A B))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k10_waybel34 A))) (let ((_let_2 (tptp.k8_waybel34 A))) (=> (not (tptp.v2_setfam_1 A)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v2_altcat_1 _let_1) (tptp.v6_altcat_1 _let_1) (tptp.v9_altcat_1 _let_1) (tptp.v11_altcat_1 _let_1) (tptp.v12_altcat_1 _let_1) (tptp.v1_altcat_2 _let_1) (tptp.v2_altcat_2 _let_1 _let_2) (tptp.v3_altcat_2 _let_1 _let_2) (tptp.v2_yellow18 _let_1) (tptp.v3_yellow18 _let_1) (tptp.v4_yellow18 _let_1) (tptp.v1_yellow21 _let_1) (tptp.v2_yellow21 _let_1) (tptp.v3_yellow21 _let_1)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A) (not (tptp.v3_struct_0 B)) (tptp.l1_orders_2 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (let ((_let_3 (tptp.v1_funct_2 C _let_2 _let_1))) (let ((_let_4 (tptp.v1_funct_1 C))) (=> (tptp.m1_relset_1 C _let_2 _let_1) (=> (and _let_4 _let_3 (tptp.v18_waybel_0 C A B)) (and _let_4 _let_3 (tptp.v5_waybel34 C A B))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_orders_2 A) (tptp.v1_yellow_0 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_yellow_0 B A) (=> (tptp.v6_waybel34 B A) (and (tptp.v6_yellow_0 B A) (tptp.v7_waybel34 B A))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_yellow_0 B A) (=> (tptp.v8_yellow_0 B A) (tptp.v6_waybel34 B A)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_yellow_0 A) (tptp.l1_orders_2 A) (not (tptp.v3_struct_0 B)) (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.v1_yellow_0 B) (tptp.l1_orders_2 B)) (exists ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (and (tptp.m1_relset_1 C _let_2 _let_1) (tptp.v1_relat_1 C) (tptp.v1_funct_1 C) (not (tptp.v1_xboole_0 C)) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.v1_partfun1 C _let_2 _let_1) (tptp.v18_waybel_0 C A B) (tptp.v20_waybel_0 C A B) (tptp.v22_waybel_0 C A B) (tptp.v5_orders_3 C A B) (tptp.v5_waybel34 C A B))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_orders_2 A) (tptp.v1_yellow_0 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.v4_yellow_0 B A))) (=> (tptp.m1_yellow_0 B A) (=> (and _let_1 (tptp.v7_waybel34 B A)) (and (not (tptp.v3_struct_0 B)) (tptp.v4_orders_2 B) (tptp.v1_yellow_0 B) _let_1))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_orders_2 A) (tptp.v1_yellow_0 A) (tptp.l1_orders_2 A)) (exists ((B $$unsorted)) (and (tptp.m1_yellow_0 B A) (not (tptp.v3_struct_0 B)) (tptp.v4_orders_2 B) (tptp.v1_yellow_0 B) (tptp.v4_yellow_0 B A) (tptp.v6_yellow_0 B A) (tptp.v8_yellow_0 B A) (tptp.v4_waybel_0 B A) (tptp.v6_waybel34 B A) (tptp.v7_waybel34 B A))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_yellow_0 A) (tptp.v1_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.v7_waybel34 B A))) (let ((_let_2 (tptp.v6_yellow_0 B A))) (let ((_let_3 (tptp.v4_yellow_0 B A))) (=> (tptp.m1_yellow_0 B A) (=> (and _let_3 _let_2 _let_1) (and (not (tptp.v3_struct_0 B)) (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.v1_yellow_0 B) _let_3 _let_2 (tptp.v1_lattice3 B) (tptp.v6_waybel34 B A) _let_1))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A) (not (tptp.v3_struct_0 B)) (tptp.l1_orders_2 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (let ((_let_3 (tptp.v1_funct_2 C _let_2 _let_1))) (let ((_let_4 (tptp.v1_funct_1 C))) (=> (tptp.m1_relset_1 C _let_2 _let_1) (=> (and _let_4 _let_3 (tptp.v18_waybel_0 C A B)) (and _let_4 _let_3 (tptp.v4_waybel34 C A B))))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A) (not (tptp.v3_struct_0 B)) (tptp.l1_orders_2 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (let ((_let_3 (tptp.v1_funct_2 C _let_2 _let_1))) (let ((_let_4 (tptp.v1_funct_1 C))) (=> (tptp.m1_relset_1 C _let_2 _let_1) (=> (and _let_4 _let_3 (tptp.v4_waybel34 C A B)) (and _let_4 _let_3 (tptp.v20_waybel_0 C A B) (tptp.v5_waybel34 C A B))))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A) (not (tptp.v3_struct_0 B)) (tptp.v2_orders_2 B) (tptp.v4_orders_2 B) (tptp.v1_yellow_0 B) (tptp.l1_orders_2 B)) (exists ((C $$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) (tptp.v1_relat_1 C) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.v18_waybel_0 C A B) (tptp.v20_waybel_0 C A B) (tptp.v22_waybel_0 C A B) (tptp.v4_waybel34 C A B) (tptp.v5_waybel34 C A B))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k1_waybel_8 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_yellow_0 A) (tptp.l1_orders_2 A)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v1_orders_2 _let_1) (tptp.v2_orders_2 _let_1) (tptp.v3_orders_2 _let_1) (tptp.v4_orders_2 _let_1) (tptp.v1_yellow_0 _let_1) (tptp.v4_yellow_0 _let_1 A))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k1_waybel_8 A))) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_lattice3 A) (tptp.l1_orders_2 A)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v1_orders_2 _let_1) (tptp.v2_orders_2 _let_1) (tptp.v3_orders_2 _let_1) (tptp.v4_orders_2 _let_1) (tptp.v1_yellow_0 _let_1) (tptp.v4_yellow_0 _let_1 A) (tptp.v6_yellow_0 _let_1 A) (tptp.v1_lattice3 _let_1) (tptp.v6_waybel34 _let_1 A) (tptp.v7_waybel34 _let_1 A))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.l1_orders_2 B)) (forall ((C $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.l1_orders_2 C)) (forall ((D $$unsorted)) (=> (and (not (tptp.v3_struct_0 D)) (tptp.l1_orders_2 D)) (=> (and (= (tptp.g1_orders_2 (tptp.u1_struct_0 A) (tptp.u1_orders_2 A)) (tptp.g1_orders_2 (tptp.u1_struct_0 C) (tptp.u1_orders_2 C))) (= (tptp.g1_orders_2 (tptp.u1_struct_0 B) (tptp.u1_orders_2 B)) (tptp.g1_orders_2 (tptp.u1_struct_0 D) (tptp.u1_orders_2 D)))) (forall ((E $$unsorted)) (=> (tptp.m1_waybel_1 E A B) (forall ((F $$unsorted)) (=> (tptp.m1_waybel_1 F C D) (=> (and (= E F) (tptp.v3_waybel_1 E A B)) (tptp.v3_waybel_1 F C D))))))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.v1_lattice3 B) (tptp.v2_lattice3 B) (tptp.l1_orders_2 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.m2_relset_1 C _let_2 _let_1)) (=> (and (tptp.v3_lattice3 A) (tptp.v3_lattice3 B) (tptp.v17_waybel_0 C A B)) (forall ((D $$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.m2_relset_1 D _let_2 _let_1)) (= (= D (tptp.k1_waybel34 A B C)) (tptp.v3_waybel_1 (tptp.k1_waybel_1 A B C D) A B))))))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.v1_lattice3 B) (tptp.v2_lattice3 B) (tptp.l1_orders_2 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.u1_struct_0 B))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.m2_relset_1 C _let_2 _let_1)) (=> (and (tptp.v3_lattice3 A) (tptp.v3_lattice3 B) (tptp.v18_waybel_0 C B A)) (forall ((D $$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.m2_relset_1 D _let_2 _let_1)) (= (= D (tptp.k2_waybel34 A B C)) (tptp.v3_waybel_1 (tptp.k1_waybel_1 A B D C) A B))))))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.v1_lattice3 B) (tptp.v2_lattice3 B) (tptp.v3_lattice3 B) (tptp.l1_orders_2 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.v17_waybel_0 C A B) (tptp.m2_relset_1 C _let_2 _let_1)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (=> (tptp.m1_subset_1 D _let_1) (= (tptp.k7_yellow_2 _let_1 A (tptp.k1_waybel34 A B C) D) (tptp.k2_yellow_0 A (tptp.k5_pre_topc A B C (tptp.k7_waybel_0 B D))))))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.v1_lattice3 B) (tptp.v2_lattice3 B) (tptp.v3_lattice3 B) (tptp.l1_orders_2 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.u1_struct_0 B))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.v18_waybel_0 C B A) (tptp.m2_relset_1 C _let_2 _let_1)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 D _let_1) (= (tptp.k7_yellow_2 _let_1 B (tptp.k2_waybel34 A B C) D) (tptp.k1_yellow_0 B (tptp.k5_pre_topc B A C (tptp.k6_waybel_0 A D))))))))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_orders_2 A) (forall ((B $$unsorted)) (=> (tptp.l1_orders_2 B) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.m2_relset_1 C _let_2 _let_1)) (= (tptp.k3_waybel34 A B C) C))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.v1_lattice3 B) (tptp.v2_lattice3 B) (tptp.v3_lattice3 B) (tptp.l1_orders_2 B)) (forall ((C $$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.v17_waybel_0 C A B) (tptp.m2_relset_1 C _let_2 _let_1)) (= (tptp.k1_waybel34 A B C) (tptp.k2_waybel34 (tptp.k7_lattice3 B) (tptp.k7_lattice3 A) (tptp.k3_waybel34 A B C))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.v1_lattice3 B) (tptp.v2_lattice3 B) (tptp.v3_lattice3 B) (tptp.l1_orders_2 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.v18_waybel_0 C A B) (tptp.m2_relset_1 C _let_2 _let_1)) (= (tptp.k1_waybel34 (tptp.k7_lattice3 A) (tptp.k7_lattice3 B) (tptp.k3_waybel34 A B C)) (tptp.k2_waybel34 B A C)))))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k7_grcat_1 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (tptp.v3_waybel_1 (tptp.k1_waybel_1 A A _let_1 _let_1) A A)))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k7_grcat_1 A))) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_lattice3 A) (tptp.l1_orders_2 A)) (and (= (tptp.k1_waybel34 A A _let_1) _let_1) (= (tptp.k2_waybel34 A A _let_1) _let_1))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.v1_lattice3 B) (tptp.v2_lattice3 B) (tptp.v3_lattice3 B) (tptp.l1_orders_2 B)) (forall ((C $$unsorted)) (=> (and (tptp.v2_orders_2 C) (tptp.v3_orders_2 C) (tptp.v4_orders_2 C) (tptp.v1_lattice3 C) (tptp.v2_lattice3 C) (tptp.v3_lattice3 C) (tptp.l1_orders_2 C)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D _let_2 _let_1) (tptp.v17_waybel_0 D A B) (tptp.m2_relset_1 D _let_2 _let_1)) (forall ((E $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.u1_struct_0 B))) (let ((_let_3 (tptp.u1_struct_0 C))) (=> (and (tptp.v1_funct_1 E) (tptp.v1_funct_2 E _let_2 _let_3) (tptp.v17_waybel_0 E B C) (tptp.m2_relset_1 E _let_2 _let_3)) (= (tptp.k1_waybel34 A C (tptp.k7_funct_2 _let_1 _let_2 _let_3 D E)) (tptp.k7_funct_2 _let_3 _let_2 _let_1 (tptp.k1_waybel34 B C E) (tptp.k1_waybel34 A B D)))))))))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.v1_lattice3 B) (tptp.v2_lattice3 B) (tptp.v3_lattice3 B) (tptp.l1_orders_2 B)) (forall ((C $$unsorted)) (=> (and (tptp.v2_orders_2 C) (tptp.v3_orders_2 C) (tptp.v4_orders_2 C) (tptp.v1_lattice3 C) (tptp.v2_lattice3 C) (tptp.v3_lattice3 C) (tptp.l1_orders_2 C)) (forall ((D $$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.v18_waybel_0 D A B) (tptp.m2_relset_1 D _let_2 _let_1)) (forall ((E $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.u1_struct_0 B))) (let ((_let_3 (tptp.u1_struct_0 C))) (=> (and (tptp.v1_funct_1 E) (tptp.v1_funct_2 E _let_2 _let_3) (tptp.v18_waybel_0 E B C) (tptp.m2_relset_1 E _let_2 _let_3)) (= (tptp.k2_waybel34 C A (tptp.k7_funct_2 _let_1 _let_2 _let_3 D E)) (tptp.k7_funct_2 _let_3 _let_2 _let_1 (tptp.k2_waybel34 C B E) (tptp.k2_waybel34 B A D)))))))))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.v1_lattice3 B) (tptp.v2_lattice3 B) (tptp.v3_lattice3 B) (tptp.l1_orders_2 B)) (forall ((C $$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.v17_waybel_0 C A B) (tptp.m2_relset_1 C _let_2 _let_1)) (= (tptp.k2_waybel34 A B (tptp.k1_waybel34 A B C)) C))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.v1_lattice3 B) (tptp.v2_lattice3 B) (tptp.v3_lattice3 B) (tptp.l1_orders_2 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.v18_waybel_0 C A B) (tptp.m2_relset_1 C _let_2 _let_1)) (= (tptp.k1_waybel34 B A (tptp.k2_waybel34 B A C)) C))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l2_altcat_1 A)) (forall ((B $$unsorted) (C $$unsorted) (D $$unsorted)) (not (and (tptp.r2_hidden D (tptp.k1_binop_1 (tptp.u1_altcat_1 A) B C)) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.u1_struct_0 A)) (forall ((F $$unsorted)) (let ((_let_1 (tptp.k1_altcat_1 A E F))) (=> (tptp.m1_subset_1 F (tptp.u1_struct_0 A)) (not (and (= E B) (= F C) (tptp.r2_hidden D _let_1) (tptp.m1_subset_1 D _let_1))))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (=> (not (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B A) (tptp.v1_xboole_0 B)))) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_altcat_1 B) (tptp.v6_altcat_1 B) (tptp.v11_altcat_1 B) (tptp.v12_altcat_1 B) (tptp.v2_yellow21 B) (tptp.l2_altcat_1 B)) (= (= B (tptp.k4_waybel34 A)) (and (forall ((C $$unsorted)) (=> (and (tptp.v2_orders_2 C) (tptp.v3_orders_2 C) (tptp.v4_orders_2 C) (tptp.v1_lattice3 C) (tptp.v2_lattice3 C) (tptp.l1_orders_2 C)) (= (tptp.m1_subset_1 C (tptp.u1_struct_0 B)) (and (tptp.v1_orders_2 C) (tptp.v3_lattice3 C) (tptp.r2_hidden (tptp.u1_struct_0 C) A))))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 B)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 B)) (forall ((E $$unsorted)) (let ((_let_1 (tptp.k3_yellow21 B D))) (let ((_let_2 (tptp.k3_yellow21 B C))) (let ((_let_3 (tptp.u1_struct_0 _let_1))) (let ((_let_4 (tptp.u1_struct_0 _let_2))) (=> (and (tptp.v1_funct_1 E) (tptp.v1_funct_2 E _let_4 _let_3) (tptp.v5_orders_3 E _let_2 _let_1) (tptp.m2_relset_1 E _let_4 _let_3)) (= (tptp.r2_hidden E (tptp.k1_altcat_1 B C D)) (tptp.v17_waybel_0 E _let_2 _let_1))))))))))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (=> (not (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B A) (tptp.v1_xboole_0 B)))) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_altcat_1 B) (tptp.v6_altcat_1 B) (tptp.v11_altcat_1 B) (tptp.v12_altcat_1 B) (tptp.v2_yellow21 B) (tptp.l2_altcat_1 B)) (= (= B (tptp.k5_waybel34 A)) (and (forall ((C $$unsorted)) (=> (and (tptp.v2_orders_2 C) (tptp.v3_orders_2 C) (tptp.v4_orders_2 C) (tptp.v1_lattice3 C) (tptp.v2_lattice3 C) (tptp.l1_orders_2 C)) (= (tptp.m1_subset_1 C (tptp.u1_struct_0 B)) (and (tptp.v1_orders_2 C) (tptp.v3_lattice3 C) (tptp.r2_hidden (tptp.u1_struct_0 C) A))))) (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)) (forall ((E $$unsorted)) (let ((_let_1 (tptp.k3_yellow21 B D))) (let ((_let_2 (tptp.k3_yellow21 B C))) (let ((_let_3 (tptp.u1_struct_0 _let_1))) (let ((_let_4 (tptp.u1_struct_0 _let_2))) (=> (and (tptp.v1_funct_1 E) (tptp.v1_funct_2 E _let_4 _let_3) (tptp.v5_orders_3 E _let_2 _let_1) (tptp.m2_relset_1 E _let_4 _let_3)) (= (tptp.r2_hidden E (tptp.k1_altcat_1 B C D)) (tptp.v18_waybel_0 E _let_2 _let_1))))))))))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v2_setfam_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.v1_lattice3 B) (tptp.v2_lattice3 B) (tptp.l1_orders_2 B)) (= (tptp.m1_subset_1 B (tptp.u1_struct_0 (tptp.k4_waybel34 A))) (and (tptp.v1_orders_2 B) (tptp.v3_lattice3 B) (tptp.r2_hidden (tptp.u1_struct_0 B) A))))))) (forall ((A $$unsorted)) (=> (not (tptp.v2_setfam_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 (tptp.k4_waybel34 A))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 (tptp.k4_waybel34 A))) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k4_waybel34 A))) (let ((_let_2 (tptp.k4_yellow21 _let_1 C))) (let ((_let_3 (tptp.u1_struct_0 _let_2))) (let ((_let_4 (tptp.k4_yellow21 _let_1 B))) (let ((_let_5 (tptp.u1_struct_0 _let_4))) (= (tptp.r2_hidden D (tptp.k1_altcat_1 _let_1 B C)) (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D _let_5 _let_3) (tptp.v17_waybel_0 D _let_4 _let_2) (tptp.m2_relset_1 D _let_5 _let_3))))))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v2_setfam_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.v1_lattice3 B) (tptp.v2_lattice3 B) (tptp.l1_orders_2 B)) (= (tptp.m1_subset_1 B (tptp.u1_struct_0 (tptp.k5_waybel34 A))) (and (tptp.v1_orders_2 B) (tptp.v3_lattice3 B) (tptp.r2_hidden (tptp.u1_struct_0 B) A))))))) (forall ((A $$unsorted)) (=> (not (tptp.v2_setfam_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 (tptp.k5_waybel34 A))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 (tptp.k5_waybel34 A))) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k5_waybel34 A))) (let ((_let_2 (tptp.k4_yellow21 _let_1 C))) (let ((_let_3 (tptp.u1_struct_0 _let_2))) (let ((_let_4 (tptp.k4_yellow21 _let_1 B))) (let ((_let_5 (tptp.u1_struct_0 _let_4))) (= (tptp.r2_hidden D (tptp.k1_altcat_1 _let_1 B C)) (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D _let_5 _let_3) (tptp.v18_waybel_0 D _let_4 _let_2) (tptp.m2_relset_1 D _let_5 _let_3))))))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v2_setfam_1 A)) (= (tptp.u1_struct_0 (tptp.k4_waybel34 A)) (tptp.u1_struct_0 (tptp.k5_waybel34 A))))) (forall ((A $$unsorted)) (=> (not (tptp.v2_setfam_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k5_waybel34 A))) (let ((_let_2 (tptp.k4_waybel34 A))) (=> (and (tptp.v9_functor0 B _let_2 _let_1) (tptp.v16_functor0 B _let_2 _let_1) (tptp.m2_functor0 B _let_2 _let_1)) (= (= B (tptp.k6_waybel34 A)) (and (forall ((C $$unsorted)) (let ((_let_1 (tptp.k4_waybel34 A))) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 _let_1)) (= (tptp.k3_functor0 _let_1 (tptp.k5_waybel34 A) B C) (tptp.k4_yellow21 _let_1 C))))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 (tptp.k4_waybel34 A))) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k4_waybel34 A))) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 _let_1)) (=> (not (= (tptp.k1_altcat_1 _let_1 C D) tptp.k1_xboole_0)) (forall ((E $$unsorted)) (let ((_let_1 (tptp.k4_waybel34 A))) (=> (tptp.m1_subset_1 E (tptp.k1_altcat_1 _let_1 C D)) (= (tptp.k8_functor0 _let_1 (tptp.k5_waybel34 A) B C D E) (tptp.k1_waybel34 (tptp.k3_yellow21 _let_1 C) (tptp.k3_yellow21 _let_1 D) (tptp.k5_yellow21 _let_1 C D E)))))))))))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v2_setfam_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k4_waybel34 A))) (let ((_let_2 (tptp.k5_waybel34 A))) (=> (and (tptp.v9_functor0 B _let_2 _let_1) (tptp.v16_functor0 B _let_2 _let_1) (tptp.m2_functor0 B _let_2 _let_1)) (= (= B (tptp.k7_waybel34 A)) (and (forall ((C $$unsorted)) (let ((_let_1 (tptp.k5_waybel34 A))) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 _let_1)) (= (tptp.k3_functor0 _let_1 (tptp.k4_waybel34 A) B C) (tptp.k4_yellow21 _let_1 C))))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 (tptp.k5_waybel34 A))) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k5_waybel34 A))) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 _let_1)) (=> (not (= (tptp.k1_altcat_1 _let_1 C D) tptp.k1_xboole_0)) (forall ((E $$unsorted)) (let ((_let_1 (tptp.k5_waybel34 A))) (=> (tptp.m1_subset_1 E (tptp.k1_altcat_1 _let_1 C D)) (= (tptp.k8_functor0 _let_1 (tptp.k4_waybel34 A) B C D E) (tptp.k2_waybel34 (tptp.k3_yellow21 _let_1 D) (tptp.k3_yellow21 _let_1 C) (tptp.k5_yellow21 _let_1 C D E)))))))))))))))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k6_waybel34 A))) (let ((_let_2 (tptp.k7_waybel34 A))) (let ((_let_3 (tptp.k4_waybel34 A))) (let ((_let_4 (tptp.k5_waybel34 A))) (=> (not (tptp.v2_setfam_1 A)) (and (= (tptp.k15_functor0 _let_3 _let_4 _let_1) _let_2) (= (tptp.k15_functor0 _let_4 _let_3 _let_2) _let_1)))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k4_waybel34 A))) (let ((_let_2 (tptp.k7_waybel34 A))) (let ((_let_3 (tptp.k6_waybel34 A))) (let ((_let_4 (tptp.k5_waybel34 A))) (=> (not (tptp.v2_setfam_1 A)) (and (= (tptp.k13_functor0 _let_4 _let_1 _let_4 _let_2 _let_3) (tptp.k12_functor0 _let_4)) (= (tptp.k13_functor0 _let_1 _let_4 _let_1 _let_3 _let_2) (tptp.k12_functor0 _let_1))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v2_setfam_1 A)) (tptp.r2_functor0 (tptp.k4_waybel34 A) (tptp.k5_waybel34 A)))) true true (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.v1_lattice3 B) (tptp.v2_lattice3 B) (tptp.v3_lattice3 B) (tptp.l1_orders_2 B)) (forall ((C $$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.v17_waybel_0 C A B) (tptp.m2_relset_1 C _let_2 _let_1)) (= (tptp.v22_waybel_0 C A B) (forall ((D $$unsorted)) (=> (and (tptp.v4_waybel11 D) (tptp.m1_yellow_9 D B)) (forall ((E $$unsorted)) (=> (and (tptp.v4_waybel11 E) (tptp.m1_yellow_9 E A)) (forall ((F $$unsorted)) (let ((_let_1 (tptp.k5_waybel_0 A (tptp.k4_pre_topc B A (tptp.k1_waybel34 A B C) F)))) (=> (and (tptp.v3_pre_topc F D) (tptp.m1_subset_1 F (tptp.k1_zfmisc_1 (tptp.u1_struct_0 D)))) (and (tptp.v3_pre_topc _let_1 E) (tptp.m1_subset_1 _let_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 E)))))))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_orders_2 B) (tptp.l1_orders_2 B)) (forall ((C $$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_waybel34 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 A))) (=> (tptp.m1_subset_1 E _let_1) (=> (tptp.r1_waybel_3 A D E) (tptp.r1_waybel_3 B (tptp.k7_yellow_2 _let_1 B C D) (tptp.k7_yellow_2 _let_1 B C E))))))))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.v1_lattice3 B) (tptp.v2_lattice3 B) (tptp.v3_lattice3 B) (tptp.l1_orders_2 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.v17_waybel_0 C A B) (tptp.m2_relset_1 C _let_2 _let_1)) (=> (tptp.v22_waybel_0 C A B) (tptp.v1_waybel34 (tptp.k1_waybel34 A B C) B A)))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.v1_lattice3 B) (tptp.v2_lattice3 B) (tptp.v3_lattice3 B) (tptp.v3_waybel_3 B) (tptp.l1_orders_2 B)) (forall ((C $$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.v17_waybel_0 C A B) (tptp.m2_relset_1 C _let_2 _let_1)) (=> (tptp.v1_waybel34 (tptp.k1_waybel34 A B C) B A) (tptp.v22_waybel_0 C 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 $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.m2_relset_1 C _let_2 _let_1)) (= (tptp.v2_waybel34 C A B) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k3_pre_topc B (tptp.k1_yellow_2 A B C)))) (let ((_let_2 (tptp.k4_pre_topc A B C D))) (=> (and (tptp.v3_pre_topc D A) (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (and (tptp.v3_pre_topc _let_2 _let_1) (tptp.m1_subset_1 _let_2 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 _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 $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.m2_relset_1 C _let_2 _let_1)) (= (tptp.v2_waybel34 C A B) (tptp.v1_t_0topsp (tptp.k8_waybel18 A B C) A (tptp.k7_waybel18 A B C))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.v1_lattice3 B) (tptp.v2_lattice3 B) (tptp.v3_lattice3 B) (tptp.l1_orders_2 B)) (forall ((C $$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.v17_waybel_0 C A B) (tptp.m2_relset_1 C _let_2 _let_1)) (forall ((D $$unsorted)) (=> (and (tptp.v4_waybel11 D) (tptp.m1_yellow_9 D B)) (forall ((E $$unsorted)) (=> (and (tptp.v4_waybel11 E) (tptp.m1_yellow_9 E A)) (forall ((F $$unsorted)) (let ((_let_1 (tptp.k1_waybel34 A B C))) (let ((_let_2 (tptp.k4_pre_topc B A _let_1 F))) (=> (and (tptp.v3_pre_topc F D) (tptp.m1_subset_1 F (tptp.k1_zfmisc_1 (tptp.u1_struct_0 D)))) (= _let_2 (tptp.k5_subset_1 (tptp.u1_struct_0 A) (tptp.k8_yellow_2 (tptp.u1_struct_0 B) A _let_1) (tptp.k5_waybel_0 A _let_2))))))))))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.v1_lattice3 B) (tptp.v2_lattice3 B) (tptp.v3_lattice3 B) (tptp.l1_orders_2 B)) (forall ((C $$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.v17_waybel_0 C A B) (tptp.m2_relset_1 C _let_2 _let_1)) (forall ((D $$unsorted)) (=> (and (tptp.v4_waybel11 D) (tptp.m1_yellow_9 D B)) (forall ((E $$unsorted)) (=> (and (tptp.v4_waybel11 E) (tptp.m1_yellow_9 E A)) (=> (forall ((F $$unsorted)) (let ((_let_1 (tptp.k5_waybel_0 A (tptp.k4_pre_topc B A (tptp.k1_waybel34 A B C) F)))) (=> (and (tptp.v3_pre_topc F D) (tptp.m1_subset_1 F (tptp.k1_zfmisc_1 (tptp.u1_struct_0 D)))) (and (tptp.v3_pre_topc _let_1 E) (tptp.m1_subset_1 _let_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 E))))))) (forall ((F $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 E))) (let ((_let_2 (tptp.u1_struct_0 D))) (=> (and (tptp.v1_funct_1 F) (tptp.v1_funct_2 F _let_2 _let_1) (tptp.m2_relset_1 F _let_2 _let_1)) (=> (= F (tptp.k1_waybel34 A B C)) (tptp.v2_waybel34 F D E))))))))))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.v1_lattice3 B) (tptp.v2_lattice3 B) (tptp.v3_lattice3 B) (tptp.l1_orders_2 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.v17_waybel_0 C A B) (tptp.m2_relset_1 C _let_2 _let_1)) (forall ((D $$unsorted)) (=> (and (tptp.v4_waybel11 D) (tptp.m1_yellow_9 D B)) (forall ((E $$unsorted)) (=> (and (tptp.v4_waybel11 E) (tptp.m1_yellow_9 E A)) (forall ((F $$unsorted)) (=> (and (tptp.v4_waybel11 F) (tptp.m1_yellow_9 F (tptp.k2_yellow_2 B A (tptp.k1_waybel34 A B C)))) (forall ((G $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 E))) (let ((_let_2 (tptp.u1_struct_0 D))) (=> (and (tptp.v1_funct_1 G) (tptp.v1_funct_2 G _let_2 _let_1) (tptp.m2_relset_1 G _let_2 _let_1)) (forall ((H $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 F))) (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 (= G (tptp.k1_waybel34 A B C)) (= H G) (tptp.v2_waybel34 G D E)) (tptp.v1_t_0topsp H D F)))))))))))))))))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (forall ((B $$unsorted)) (=> (tptp.l1_pre_topc B) (forall ((C $$unsorted)) (=> (tptp.l1_pre_topc C) (forall ((D $$unsorted)) (=> (tptp.l1_pre_topc D) (=> (and (= (tptp.g1_pre_topc (tptp.u1_struct_0 A) (tptp.u1_pre_topc A)) (tptp.g1_pre_topc (tptp.u1_struct_0 B) (tptp.u1_pre_topc B))) (= (tptp.g1_pre_topc (tptp.u1_struct_0 C) (tptp.u1_pre_topc C)) (tptp.g1_pre_topc (tptp.u1_struct_0 D) (tptp.u1_pre_topc D))) (tptp.m1_pre_topc C A)) (tptp.m1_pre_topc D B)))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (= (tptp.k3_pre_topc A (tptp.k2_pre_topc A)) (tptp.g1_pre_topc (tptp.u1_struct_0 A) (tptp.u1_pre_topc A))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.v1_lattice3 B) (tptp.v2_lattice3 B) (tptp.v3_lattice3 B) (tptp.l1_orders_2 B)) (forall ((C $$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.v17_waybel_0 C A B) (tptp.m2_relset_1 C _let_2 _let_1)) (=> (tptp.v2_funct_1 C) (forall ((D $$unsorted)) (=> (and (tptp.v4_waybel11 D) (tptp.m1_yellow_9 D B)) (forall ((E $$unsorted)) (=> (and (tptp.v4_waybel11 E) (tptp.m1_yellow_9 E A)) (forall ((F $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 E))) (let ((_let_2 (tptp.u1_struct_0 D))) (=> (and (tptp.v1_funct_1 F) (tptp.v1_funct_2 F _let_2 _let_1) (tptp.m2_relset_1 F _let_2 _let_1)) (=> (= F (tptp.k1_waybel34 A B C)) (= (tptp.v22_waybel_0 C A B) (tptp.v1_t_0topsp F D E)))))))))))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k2_waybel_1 A A B))) (let ((_let_2 (tptp.k3_waybel_1 A A B))) (let ((_let_3 (tptp.k2_yellow_2 A A B))) (let ((_let_4 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_4 _let_4) (tptp.v8_waybel_1 B A) (tptp.m2_relset_1 B _let_4 _let_4)) (and (tptp.v17_waybel_0 _let_1 A _let_3) (tptp.v18_waybel_0 _let_2 _let_3 A) (= (tptp.k1_waybel34 A _let_3 _let_1) _let_2) (= (tptp.k2_waybel34 A _let_3 _let_2) _let_1)))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_1 _let_1) (tptp.v8_waybel_1 B A) (tptp.m2_relset_1 B _let_1 _let_1)) (= (tptp.v22_waybel_0 B A A) (tptp.v22_waybel_0 (tptp.k2_waybel_1 A A B) A (tptp.k2_yellow_2 A A B)))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_1 _let_1) (tptp.v8_waybel_1 B A) (tptp.m2_relset_1 B _let_1 _let_1)) (= (tptp.v22_waybel_0 B A A) (forall ((C $$unsorted)) (=> (and (tptp.v4_waybel11 C) (tptp.m1_yellow_9 C (tptp.k2_yellow_2 A A B))) (forall ((D $$unsorted)) (=> (and (tptp.v4_waybel11 D) (tptp.m1_yellow_9 D A)) (forall ((E $$unsorted)) (let ((_let_1 (tptp.k5_waybel_0 A E))) (=> (tptp.m1_subset_1 E (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (and (tptp.v3_pre_topc E C) (tptp.m1_subset_1 E (tptp.k1_zfmisc_1 (tptp.u1_struct_0 C)))) (and (tptp.v3_pre_topc _let_1 D) (tptp.m1_subset_1 _let_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 D)))))))))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v4_yellow_0 B A) (tptp.v8_yellow_0 B A) (tptp.m1_yellow_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 $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.u1_struct_0 B)) (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F (tptp.u1_struct_0 B)) (=> (and (= E C) (= F D) (tptp.r1_waybel_3 A C D)) (tptp.r1_waybel_3 B E F)))))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$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.v8_waybel_1 B A) (tptp.m2_relset_1 B _let_1 _let_1)) (=> (tptp.v22_waybel_0 B A 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 $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.u1_struct_0 (tptp.k2_yellow_2 A A B))) (forall ((F $$unsorted)) (let ((_let_1 (tptp.k2_yellow_2 A A B))) (=> (tptp.m1_subset_1 F (tptp.u1_struct_0 _let_1)) (=> (and (= E C) (= F D)) (= (tptp.r1_waybel_3 A C D) (tptp.r1_waybel_3 _let_1 E F)))))))))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$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.v8_waybel_1 B A) (tptp.m2_relset_1 B _let_1 _let_1)) (=> (and (tptp.v3_waybel_3 (tptp.k2_yellow_2 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)) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.u1_struct_0 (tptp.k2_yellow_2 A A B))) (forall ((F $$unsorted)) (let ((_let_1 (tptp.k2_yellow_2 A A B))) (=> (tptp.m1_subset_1 F (tptp.u1_struct_0 _let_1)) (=> (and (= E C) (= F D)) (= (tptp.r1_waybel_3 A C D) (tptp.r1_waybel_3 _let_1 E F))))))))))))) (tptp.v22_waybel_0 B A A))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k2_waybel_1 A A B))) (let ((_let_2 (tptp.k3_waybel_1 A A B))) (let ((_let_3 (tptp.k2_yellow_2 A A B))) (let ((_let_4 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_4 _let_4) (tptp.v7_waybel_1 B A) (tptp.m2_relset_1 B _let_4 _let_4)) (and (tptp.v18_waybel_0 _let_1 A _let_3) (tptp.v17_waybel_0 _let_2 _let_3 A) (= (tptp.k2_waybel34 _let_3 A _let_1) _let_2) (= (tptp.k1_waybel34 _let_3 A _let_2) _let_1)))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k2_yellow_2 A A B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_2 _let_2) (tptp.v7_waybel_1 B A) (tptp.m2_relset_1 B _let_2 _let_2)) (= (tptp.v4_waybel_0 _let_1 A) (tptp.v22_waybel_0 (tptp.k3_waybel_1 A A B) _let_1 A)))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$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.v7_waybel_1 B A) (tptp.m2_relset_1 B _let_1 _let_1)) (= (tptp.v4_waybel_0 (tptp.k2_yellow_2 A A B) A) (forall ((C $$unsorted)) (=> (and (tptp.v4_waybel11 C) (tptp.m1_yellow_9 C (tptp.k2_yellow_2 A A B))) (forall ((D $$unsorted)) (=> (and (tptp.v4_waybel11 D) (tptp.m1_yellow_9 D A)) (forall ((E $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 C))) (let ((_let_2 (tptp.u1_struct_0 D))) (=> (and (tptp.v1_funct_1 E) (tptp.v1_funct_2 E _let_2 _let_1) (tptp.m2_relset_1 E _let_2 _let_1)) (=> (= E B) (tptp.v1_t_0topsp E D C)))))))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k2_yellow_2 A A B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_2 _let_2) (tptp.v7_waybel_1 B A) (tptp.m2_relset_1 B _let_2 _let_2)) (=> (tptp.v4_waybel_0 _let_1 A) (tptp.v1_waybel34 (tptp.k2_waybel_1 A A B) A _let_1)))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_lattice3 A) (tptp.v3_waybel_3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k2_yellow_2 A A B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_2 _let_2) (tptp.v7_waybel_1 B A) (tptp.m2_relset_1 B _let_2 _let_2)) (=> (tptp.v1_waybel34 (tptp.k2_waybel_1 A A B) A _let_1) (tptp.v4_waybel_0 _let_1 A)))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k4_waybel34 A))) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_altcat_1 B) (tptp.v6_altcat_1 B) (tptp.v3_altcat_2 B _let_1) (tptp.m1_altcat_2 B _let_1)) (= (= B (tptp.k8_waybel34 A)) (and (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 (tptp.k4_waybel34 A))) (tptp.m1_subset_1 C (tptp.u1_struct_0 B)))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 (tptp.k4_waybel34 A))) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 (tptp.k4_waybel34 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 (= E C) (= F D)) (or (= (tptp.k1_altcat_1 (tptp.k4_waybel34 A) C D) tptp.k1_xboole_0) (forall ((G $$unsorted)) (let ((_let_1 (tptp.k4_waybel34 A))) (=> (tptp.m1_subset_1 G (tptp.k1_altcat_1 _let_1 C D)) (= (tptp.r2_hidden G (tptp.k1_altcat_1 B E F)) (tptp.v22_waybel_0 (tptp.k5_yellow21 _let_1 C D G) (tptp.k3_yellow21 _let_1 C) (tptp.k3_yellow21 _let_1 D))))))))))))))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v2_setfam_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k5_waybel34 A))) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_altcat_1 B) (tptp.v6_altcat_1 B) (tptp.v3_altcat_2 B _let_1) (tptp.m1_altcat_2 B _let_1)) (= (= B (tptp.k9_waybel34 A)) (and (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 (tptp.k5_waybel34 A))) (tptp.m1_subset_1 C (tptp.u1_struct_0 B)))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 (tptp.k5_waybel34 A))) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 (tptp.k5_waybel34 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 (= E C) (= F D)) (or (= (tptp.k1_altcat_1 (tptp.k5_waybel34 A) C D) tptp.k1_xboole_0) (forall ((G $$unsorted)) (let ((_let_1 (tptp.k5_waybel34 A))) (let ((_let_2 (tptp.k3_yellow21 _let_1 C))) (let ((_let_3 (tptp.k3_yellow21 _let_1 D))) (=> (tptp.m1_subset_1 G (tptp.k1_altcat_1 _let_1 C D)) (= (tptp.r2_hidden G (tptp.k1_altcat_1 B E F)) (tptp.v22_waybel_0 (tptp.k2_waybel34 _let_3 _let_2 (tptp.k5_yellow21 _let_1 C D G)) _let_3 _let_2)))))))))))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_orders_2 B) (tptp.v4_orders_2 B) (tptp.l1_orders_2 B)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 B)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k3_borsuk_1 A B C))) (=> (and (not (tptp.v1_xboole_0 D)) (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (and (tptp.r4_waybel_0 A B _let_1 D) (tptp.r3_waybel_0 A B _let_1 D))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_orders_2 B) (tptp.v4_orders_2 B) (tptp.v1_yellow_0 B) (tptp.l1_orders_2 B)) (tptp.v18_waybel_0 (tptp.k3_borsuk_1 A B (tptp.k3_yellow_0 B)) A B))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_orders_2 B) (tptp.v4_orders_2 B) (tptp.v2_yellow_0 B) (tptp.l1_orders_2 B)) (tptp.v17_waybel_0 (tptp.k3_borsuk_1 A B (tptp.k4_yellow_0 B)) A B))))) (forall ((A $$unsorted)) (=> (not (tptp.v2_setfam_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.v1_lattice3 B) (tptp.v2_lattice3 B) (tptp.l1_orders_2 B)) (= (tptp.m1_subset_1 B (tptp.u1_struct_0 (tptp.k8_waybel34 A))) (and (tptp.v1_orders_2 B) (tptp.v3_lattice3 B) (tptp.r2_hidden (tptp.u1_struct_0 B) A))))))) (forall ((A $$unsorted)) (=> (not (tptp.v2_setfam_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 (tptp.k8_waybel34 A))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 (tptp.k8_waybel34 A))) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k8_waybel34 A))) (let ((_let_2 (tptp.k4_yellow21 _let_1 C))) (let ((_let_3 (tptp.u1_struct_0 _let_2))) (let ((_let_4 (tptp.k4_yellow21 _let_1 B))) (let ((_let_5 (tptp.u1_struct_0 _let_4))) (= (tptp.r2_hidden D (tptp.k1_altcat_1 _let_1 B C)) (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D _let_5 _let_3) (tptp.v17_waybel_0 D _let_4 _let_2) (tptp.v22_waybel_0 D _let_4 _let_2) (tptp.m2_relset_1 D _let_5 _let_3))))))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v2_setfam_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.v1_lattice3 B) (tptp.v2_lattice3 B) (tptp.l1_orders_2 B)) (= (tptp.m1_subset_1 B (tptp.u1_struct_0 (tptp.k9_waybel34 A))) (and (tptp.v1_orders_2 B) (tptp.v3_lattice3 B) (tptp.r2_hidden (tptp.u1_struct_0 B) A))))))) (forall ((A $$unsorted)) (=> (not (tptp.v2_setfam_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 (tptp.k9_waybel34 A))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 (tptp.k9_waybel34 A))) (forall ((D $$unsorted)) (= (tptp.r2_hidden D (tptp.k1_altcat_1 (tptp.k9_waybel34 A) B C)) (exists ((E $$unsorted)) (let ((_let_1 (tptp.k9_waybel34 A))) (let ((_let_2 (tptp.k4_yellow21 _let_1 B))) (let ((_let_3 (tptp.k4_yellow21 _let_1 C))) (let ((_let_4 (tptp.u1_struct_0 _let_3))) (let ((_let_5 (tptp.u1_struct_0 _let_2))) (and (tptp.v1_funct_1 E) (tptp.v1_funct_2 E _let_5 _let_4) (tptp.v18_waybel_0 E _let_2 _let_3) (tptp.m2_relset_1 E _let_5 _let_4) (= E D) (tptp.v22_waybel_0 (tptp.k2_waybel34 _let_3 _let_2 E) _let_3 _let_2)))))))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v2_setfam_1 A)) (= (tptp.k8_waybel34 A) (tptp.k2_yellow20 (tptp.k4_waybel34 A) (tptp.k6_yellow21 A))))) (forall ((A $$unsorted)) (=> (not (tptp.v2_setfam_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k8_waybel34 A))) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_altcat_1 B) (tptp.v6_altcat_1 B) (tptp.v2_altcat_2 B _let_1) (tptp.v3_altcat_2 B _let_1) (tptp.m1_altcat_2 B _let_1)) (= (= B (tptp.k10_waybel34 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k8_waybel34 A))) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 _let_1)) (= (tptp.m1_subset_1 C (tptp.u1_struct_0 B)) (tptp.v3_waybel_3 (tptp.k4_yellow21 _let_1 C)))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v2_setfam_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.v1_lattice3 B) (tptp.v2_lattice3 B) (tptp.l1_orders_2 B)) (=> (tptp.r2_hidden (tptp.u1_struct_0 B) A) (= (tptp.m1_subset_1 B (tptp.u1_struct_0 (tptp.k10_waybel34 A))) (and (tptp.v1_orders_2 B) (tptp.v3_lattice3 B) (tptp.v3_waybel_3 B)))))))) (forall ((A $$unsorted)) (=> (not (tptp.v2_setfam_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 (tptp.k10_waybel34 A))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 (tptp.k10_waybel34 A))) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k10_waybel34 A))) (let ((_let_2 (tptp.k4_yellow21 _let_1 C))) (let ((_let_3 (tptp.u1_struct_0 _let_2))) (let ((_let_4 (tptp.k4_yellow21 _let_1 B))) (let ((_let_5 (tptp.u1_struct_0 _let_4))) (= (tptp.r2_hidden D (tptp.k1_altcat_1 _let_1 B C)) (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D _let_5 _let_3) (tptp.v17_waybel_0 D _let_4 _let_2) (tptp.v22_waybel_0 D _let_4 _let_2) (tptp.m2_relset_1 D _let_5 _let_3))))))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v2_setfam_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k9_waybel34 A))) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_altcat_1 B) (tptp.v6_altcat_1 B) (tptp.v2_altcat_2 B _let_1) (tptp.v3_altcat_2 B _let_1) (tptp.m1_altcat_2 B _let_1)) (= (= B (tptp.k11_waybel34 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k9_waybel34 A))) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 _let_1)) (= (tptp.m1_subset_1 C (tptp.u1_struct_0 B)) (tptp.v3_waybel_3 (tptp.k4_yellow21 _let_1 C)))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v2_setfam_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.v1_lattice3 B) (tptp.v2_lattice3 B) (tptp.l1_orders_2 B)) (=> (tptp.r2_hidden (tptp.u1_struct_0 B) A) (= (tptp.m1_subset_1 B (tptp.u1_struct_0 (tptp.k11_waybel34 A))) (and (tptp.v1_orders_2 B) (tptp.v3_lattice3 B) (tptp.v3_waybel_3 B)))))))) (forall ((A $$unsorted)) (=> (not (tptp.v2_setfam_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 (tptp.k11_waybel34 A))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 (tptp.k11_waybel34 A))) (forall ((D $$unsorted)) (= (tptp.r2_hidden D (tptp.k1_altcat_1 (tptp.k11_waybel34 A) B C)) (exists ((E $$unsorted)) (let ((_let_1 (tptp.k11_waybel34 A))) (let ((_let_2 (tptp.k4_yellow21 _let_1 B))) (let ((_let_3 (tptp.k4_yellow21 _let_1 C))) (let ((_let_4 (tptp.u1_struct_0 _let_3))) (let ((_let_5 (tptp.u1_struct_0 _let_2))) (and (tptp.v1_funct_1 E) (tptp.v1_funct_2 E _let_5 _let_4) (tptp.v18_waybel_0 E _let_2 _let_3) (tptp.m2_relset_1 E _let_5 _let_4) (= E D) (tptp.v22_waybel_0 (tptp.k2_waybel34 _let_3 _let_2 E) _let_3 _let_2)))))))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v2_setfam_1 A)) (tptp.r3_yellow20 (tptp.k4_waybel34 A) (tptp.k5_waybel34 A) (tptp.k6_waybel34 A) (tptp.k8_waybel34 A) (tptp.k9_waybel34 A)))) (forall ((A $$unsorted)) (=> (not (tptp.v2_setfam_1 A)) (tptp.r3_yellow20 (tptp.k5_waybel34 A) (tptp.k4_waybel34 A) (tptp.k7_waybel34 A) (tptp.k9_waybel34 A) (tptp.k8_waybel34 A)))) (forall ((A $$unsorted)) (=> (not (tptp.v2_setfam_1 A)) (tptp.r3_yellow20 (tptp.k4_waybel34 A) (tptp.k5_waybel34 A) (tptp.k6_waybel34 A) (tptp.k10_waybel34 A) (tptp.k11_waybel34 A)))) (forall ((A $$unsorted)) (=> (not (tptp.v2_setfam_1 A)) (tptp.r3_yellow20 (tptp.k5_waybel34 A) (tptp.k4_waybel34 A) (tptp.k7_waybel34 A) (tptp.k11_waybel34 A) (tptp.k10_waybel34 A)))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_orders_2 B) (tptp.l1_orders_2 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.m2_relset_1 C _let_2 _let_1)) (= (tptp.v3_waybel34 C A B) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 D _let_1) (=> (tptp.v1_waybel_3 D A) (tptp.v1_waybel_3 (tptp.k7_yellow_2 _let_1 B C D) B)))))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.v1_lattice3 B) (tptp.v2_lattice3 B) (tptp.v3_lattice3 B) (tptp.l1_orders_2 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.u1_struct_0 B))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.v18_waybel_0 C B A) (tptp.m2_relset_1 C _let_2 _let_1)) (=> (tptp.v1_waybel34 C B A) (tptp.v3_waybel34 C B A)))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.v1_lattice3 B) (tptp.v2_lattice3 B) (tptp.v3_lattice3 B) (tptp.l1_orders_2 B)) (forall ((C $$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.v18_waybel_0 C B A) (tptp.m2_relset_1 C _let_2 _let_1)) (=> (and (tptp.v2_waybel_8 B) (tptp.v3_waybel34 C B A)) (tptp.v1_waybel34 C B A)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.l1_orders_2 B)) (forall ((C $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.l1_orders_2 C)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((E $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 E) (tptp.v1_funct_2 E _let_2 _let_1) (tptp.m2_relset_1 E _let_2 _let_1)) (forall ((F $$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)) (=> (and (tptp.r4_waybel_0 A B E D) (tptp.r4_waybel_0 B C F (tptp.k4_pre_topc A B E D))) (tptp.r4_waybel_0 A C (tptp.k7_funct_2 (tptp.u1_struct_0 A) _let_2 _let_1 E F) D)))))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.l1_orders_2 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.m2_relset_1 C _let_2 _let_1)) (= (tptp.v4_waybel34 C A B) (forall ((D $$unsorted)) (=> (and (tptp.v1_finset_1 D) (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (tptp.r4_waybel_0 A B C D)))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.l1_orders_2 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.m2_relset_1 C _let_2 _let_1)) (= (tptp.v5_waybel34 C A B) (tptp.r4_waybel_0 A B C (tptp.k1_pre_topc A))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.l1_orders_2 B)) (forall ((C $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.l1_orders_2 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.v4_waybel34 D A B) (tptp.v4_waybel34 E B C)) (tptp.v4_waybel34 (tptp.k7_funct_2 (tptp.u1_struct_0 A) _let_2 _let_1 D E) A C)))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_orders_2 A) (tptp.v1_yellow_0 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v4_orders_2 B) (tptp.v1_yellow_0 B) (tptp.l1_orders_2 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.u1_struct_0 B))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_1 _let_2) (tptp.m2_relset_1 C _let_1 _let_2)) (= (tptp.v5_waybel34 C A B) (= (tptp.k7_yellow_2 _let_1 B C (tptp.k3_yellow_0 A)) (tptp.k3_yellow_0 B))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_yellow_0 B A) (= (tptp.v6_waybel34 B A) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (=> (and (tptp.v1_finset_1 C) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 _let_1))) (=> (tptp.r1_yellow_0 A C) (tptp.r2_hidden (tptp.k1_yellow_0 A C) _let_1)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_yellow_0 B A) (= (tptp.v7_waybel34 B A) (tptp.r2_hidden (tptp.k3_yellow_0 A) (tptp.u1_struct_0 B))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_orders_2 A) (tptp.v1_yellow_0 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v4_yellow_0 B A) (tptp.v7_waybel34 B A) (tptp.m1_yellow_0 B A)) (= (tptp.k3_yellow_0 B) (tptp.k3_yellow_0 A)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.l1_orders_2 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.m2_relset_1 C _let_2 _let_1)) (=> (tptp.v4_waybel34 C A B) (and (tptp.v20_waybel_0 C A B) (tptp.v5_waybel34 C A B))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_yellow_0 A) (tptp.v1_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.v1_yellow_0 B) (tptp.v1_lattice3 B) (tptp.l1_orders_2 B)) (forall ((C $$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.v20_waybel_0 C A B) (tptp.v5_waybel34 C A B)) (tptp.v4_waybel34 C A B)))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_orders_2 A) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.l1_orders_2 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.m2_relset_1 C _let_2 _let_1)) (forall ((D $$unsorted)) (=> (tptp.m1_yellow_0 D A) (forall ((E $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 E))) (let ((_let_2 (tptp.u1_struct_0 D))) (let ((_let_3 (tptp.k8_relset_1 (tptp.u1_struct_0 A) (tptp.u1_struct_0 B) C _let_2))) (=> (tptp.m1_yellow_0 E B) (=> (tptp.r1_tarski (tptp.k4_pre_topc A B C _let_2) _let_1) (and (tptp.v1_funct_1 _let_3) (tptp.v1_funct_2 _let_3 _let_2 _let_1) (tptp.m2_relset_1 _let_3 _let_2 _let_1)))))))))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.v1_lattice3 B) (tptp.v2_lattice3 B) (tptp.l1_orders_2 B)) (forall ((C $$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.v20_waybel_0 C A B) (tptp.m2_relset_1 C _let_2 _let_1)) (forall ((D $$unsorted)) (=> (and (not (tptp.v3_struct_0 D)) (tptp.v4_yellow_0 D A) (tptp.v6_yellow_0 D A) (tptp.m1_yellow_0 D A)) (forall ((E $$unsorted)) (=> (and (not (tptp.v3_struct_0 E)) (tptp.v4_yellow_0 E B) (tptp.v6_yellow_0 E B) (tptp.m1_yellow_0 E B)) (forall ((F $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 D))) (let ((_let_2 (tptp.u1_struct_0 E))) (=> (and (tptp.v1_funct_1 F) (tptp.v1_funct_2 F _let_1 _let_2) (tptp.m2_relset_1 F _let_1 _let_2)) (=> (= F (tptp.k8_relset_1 (tptp.u1_struct_0 A) (tptp.u1_struct_0 B) C _let_1)) (tptp.v20_waybel_0 F D E)))))))))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_yellow_0 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.v1_yellow_0 B) (tptp.v1_lattice3 B) (tptp.v2_lattice3 B) (tptp.l1_orders_2 B)) (forall ((C $$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.v4_waybel34 C A B) (tptp.m2_relset_1 C _let_2 _let_1)) (forall ((D $$unsorted)) (=> (and (not (tptp.v3_struct_0 D)) (tptp.v4_yellow_0 D A) (tptp.v6_waybel34 D A) (tptp.m1_yellow_0 D A)) (forall ((E $$unsorted)) (=> (and (not (tptp.v3_struct_0 E)) (tptp.v4_yellow_0 E B) (tptp.v6_waybel34 E B) (tptp.m1_yellow_0 E B)) (forall ((F $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 D))) (let ((_let_2 (tptp.u1_struct_0 E))) (=> (and (tptp.v1_funct_1 F) (tptp.v1_funct_2 F _let_1 _let_2) (tptp.m2_relset_1 F _let_1 _let_2)) (=> (= F (tptp.k8_relset_1 (tptp.u1_struct_0 A) (tptp.u1_struct_0 B) C _let_1)) (tptp.v4_waybel34 F D E)))))))))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.v1_lattice3 B) (tptp.v2_lattice3 B) (tptp.v3_lattice3 B) (tptp.l1_orders_2 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k1_waybel_8 A))) (let ((_let_2 (tptp.u1_struct_0 _let_1))) (let ((_let_3 (tptp.k1_waybel_8 B))) (let ((_let_4 (tptp.u1_struct_0 _let_3))) (let ((_let_5 (tptp.u1_struct_0 A))) (let ((_let_6 (tptp.u1_struct_0 B))) (let ((_let_7 (tptp.k8_relset_1 _let_6 _let_5 C _let_4))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_6 _let_5) (tptp.v18_waybel_0 C B A) (tptp.m2_relset_1 C _let_6 _let_5)) (= (tptp.v3_waybel34 C B A) (and (tptp.v1_funct_1 _let_7) (tptp.v1_funct_2 _let_7 _let_4 _let_2) (tptp.v4_waybel34 _let_7 _let_3 _let_1) (tptp.m2_relset_1 _let_7 _let_4 _let_2)))))))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.v1_lattice3 B) (tptp.v2_lattice3 B) (tptp.v3_lattice3 B) (tptp.l1_orders_2 B)) (=> (tptp.v2_waybel_8 B) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k1_waybel_8 A))) (let ((_let_2 (tptp.u1_struct_0 _let_1))) (let ((_let_3 (tptp.k1_waybel_8 B))) (let ((_let_4 (tptp.u1_struct_0 _let_3))) (let ((_let_5 (tptp.u1_struct_0 A))) (let ((_let_6 (tptp.u1_struct_0 B))) (let ((_let_7 (tptp.k8_relset_1 _let_6 _let_5 (tptp.k1_waybel34 A B C) _let_4))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_5 _let_6) (tptp.v17_waybel_0 C A B) (tptp.m2_relset_1 C _let_5 _let_6)) (= (tptp.v22_waybel_0 C A B) (and (tptp.v1_funct_1 _let_7) (tptp.v1_funct_2 _let_7 _let_4 _let_2) (tptp.v4_waybel34 _let_7 _let_3 _let_1) (tptp.m2_relset_1 _let_7 _let_4 _let_2))))))))))))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.u1_struct_0 B))) (let ((_let_3 (tptp.k1_waybel34 A B C))) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 A) (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.v1_lattice3 B) (tptp.v2_lattice3 B) (tptp.l1_orders_2 B) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_1 _let_2) (tptp.m1_relset_1 C _let_1 _let_2)) (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 $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (let ((_let_3 (tptp.k2_waybel34 A B C))) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 A) (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.v1_lattice3 B) (tptp.v2_lattice3 B) (tptp.l1_orders_2 B) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_1 _let_2) (tptp.m1_relset_1 C _let_1 _let_2)) (and (tptp.v1_funct_1 _let_3) (tptp.v1_funct_2 _let_3 _let_2 _let_1) (tptp.m2_relset_1 _let_3 _let_2 _let_1))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 (tptp.k7_lattice3 B)))) (let ((_let_2 (tptp.u1_struct_0 (tptp.k7_lattice3 A)))) (let ((_let_3 (tptp.k3_waybel34 A B C))) (let ((_let_4 (tptp.u1_struct_0 B))) (let ((_let_5 (tptp.u1_struct_0 A))) (=> (and (tptp.l1_orders_2 A) (tptp.l1_orders_2 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 $$unsorted)) (let ((_let_1 (tptp.k4_waybel34 A))) (=> (not (tptp.v1_xboole_0 A)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v2_altcat_1 _let_1) (tptp.v6_altcat_1 _let_1) (tptp.v11_altcat_1 _let_1) (tptp.v12_altcat_1 _let_1) (tptp.v2_yellow21 _let_1) (tptp.l2_altcat_1 _let_1))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k5_waybel34 A))) (=> (not (tptp.v1_xboole_0 A)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v2_altcat_1 _let_1) (tptp.v6_altcat_1 _let_1) (tptp.v11_altcat_1 _let_1) (tptp.v12_altcat_1 _let_1) (tptp.v2_yellow21 _let_1) (tptp.l2_altcat_1 _let_1))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k5_waybel34 A))) (let ((_let_2 (tptp.k4_waybel34 A))) (let ((_let_3 (tptp.k6_waybel34 A))) (=> (not (tptp.v2_setfam_1 A)) (and (tptp.v9_functor0 _let_3 _let_2 _let_1) (tptp.v16_functor0 _let_3 _let_2 _let_1) (tptp.m2_functor0 _let_3 _let_2 _let_1))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k4_waybel34 A))) (let ((_let_2 (tptp.k5_waybel34 A))) (let ((_let_3 (tptp.k7_waybel34 A))) (=> (not (tptp.v2_setfam_1 A)) (and (tptp.v9_functor0 _let_3 _let_2 _let_1) (tptp.v16_functor0 _let_3 _let_2 _let_1) (tptp.m2_functor0 _let_3 _let_2 _let_1))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k4_waybel34 A))) (let ((_let_2 (tptp.k8_waybel34 A))) (=> (not (tptp.v1_xboole_0 A)) (and (not (tptp.v3_struct_0 _let_2)) (tptp.v2_altcat_1 _let_2) (tptp.v6_altcat_1 _let_2) (tptp.v3_altcat_2 _let_2 _let_1) (tptp.m1_altcat_2 _let_2 _let_1)))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k5_waybel34 A))) (let ((_let_2 (tptp.k9_waybel34 A))) (=> (not (tptp.v2_setfam_1 A)) (and (not (tptp.v3_struct_0 _let_2)) (tptp.v2_altcat_1 _let_2) (tptp.v6_altcat_1 _let_2) (tptp.v3_altcat_2 _let_2 _let_1) (tptp.m1_altcat_2 _let_2 _let_1)))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k8_waybel34 A))) (let ((_let_2 (tptp.k10_waybel34 A))) (=> (not (tptp.v2_setfam_1 A)) (and (not (tptp.v3_struct_0 _let_2)) (tptp.v2_altcat_1 _let_2) (tptp.v6_altcat_1 _let_2) (tptp.v2_altcat_2 _let_2 _let_1) (tptp.v3_altcat_2 _let_2 _let_1) (tptp.m1_altcat_2 _let_2 _let_1)))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k9_waybel34 A))) (let ((_let_2 (tptp.k11_waybel34 A))) (=> (not (tptp.v2_setfam_1 A)) (and (not (tptp.v3_struct_0 _let_2)) (tptp.v2_altcat_1 _let_2) (tptp.v6_altcat_1 _let_2) (tptp.v2_altcat_2 _let_2 _let_1) (tptp.v3_altcat_2 _let_2 _let_1) (tptp.m1_altcat_2 _let_2 _let_1)))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k1_latsum_1 A B))) (=> (and (tptp.l1_orders_2 A) (not (tptp.v3_struct_0 B)) (tptp.l1_orders_2 B)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v1_orders_2 _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k1_latsum_1 A B))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A) (tptp.l1_orders_2 B)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v1_orders_2 _let_1))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k4_xboole_0 C D))) (let ((_let_2 (tptp.r2_hidden B _let_1))) (let ((_let_3 (tptp.r2_hidden A D))) (let ((_let_4 (tptp.r2_hidden B D))) (let ((_let_5 (tptp.r2_hidden A _let_1))) (let ((_let_6 (tptp.k2_xboole_0 C D))) (not (and (tptp.r2_hidden A _let_6) (tptp.r2_hidden B _let_6) (not (and _let_5 _let_2)) (not (and _let_3 _let_4)) (not (and _let_5 _let_4)) (not (and _let_3 _let_2))))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_orders_2 A) (forall ((B $$unsorted)) (=> (tptp.l1_orders_2 B) (= (tptp.r1_latsum_1 A B) (forall ((C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k4_tarski C D))) (let ((_let_2 (tptp.k3_xboole_0 (tptp.u1_struct_0 A) (tptp.u1_struct_0 B)))) (=> (and (tptp.r2_hidden C _let_2) (tptp.r2_hidden D _let_2)) (= (tptp.r2_hidden _let_1 (tptp.u1_orders_2 A)) (tptp.r2_hidden _let_1 (tptp.u1_orders_2 B)))))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_orders_2 A) (forall ((B $$unsorted)) (=> (tptp.l1_orders_2 B) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_orders_2 B))) (let ((_let_2 (tptp.u1_orders_2 A))) (let ((_let_3 (tptp.u1_struct_0 B))) (let ((_let_4 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_orders_2 C) (tptp.l1_orders_2 C)) (= (= C (tptp.k1_latsum_1 A B)) (and (= (tptp.u1_struct_0 C) (tptp.k2_xboole_0 _let_4 _let_3)) (= (tptp.u1_orders_2 C) (tptp.k2_xboole_0 (tptp.k2_xboole_0 _let_2 _let_1) (tptp.k7_relset_1 _let_4 _let_4 _let_3 _let_3 _let_2 _let_1))))))))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_orders_2 A) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_orders_2 (tptp.k1_latsum_1 A B)))) (=> (tptp.l1_orders_2 B) (and (tptp.r1_tarski (tptp.u1_orders_2 A) _let_1) (tptp.r1_tarski (tptp.u1_orders_2 B) _let_1))))))) (forall ((A $$unsorted)) (=> (tptp.l1_orders_2 A) (forall ((B $$unsorted)) (=> (tptp.l1_orders_2 B) (=> (and (tptp.v2_orders_2 A) (tptp.v2_orders_2 B)) (tptp.v2_orders_2 (tptp.k1_latsum_1 A B))))))) (forall ((A $$unsorted)) (=> (tptp.l1_orders_2 A) (forall ((B $$unsorted)) (=> (tptp.l1_orders_2 B) (forall ((C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k4_tarski C D))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (tptp.r2_hidden _let_1 (tptp.u1_orders_2 (tptp.k1_latsum_1 A B))) (tptp.r2_hidden C _let_2) (tptp.r2_hidden D _let_2) (tptp.r1_latsum_1 A B) (tptp.v3_orders_2 A)) (tptp.r2_hidden _let_1 (tptp.u1_orders_2 A)))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_orders_2 A) (forall ((B $$unsorted)) (=> (tptp.l1_orders_2 B) (forall ((C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k4_tarski C D))) (let ((_let_2 (tptp.u1_struct_0 B))) (=> (and (tptp.r2_hidden _let_1 (tptp.u1_orders_2 (tptp.k1_latsum_1 A B))) (tptp.r2_hidden C _let_2) (tptp.r2_hidden D _let_2) (tptp.r1_latsum_1 A B) (tptp.v3_orders_2 B)) (tptp.r2_hidden _let_1 (tptp.u1_orders_2 B)))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_orders_2 A) (forall ((B $$unsorted)) (=> (tptp.l1_orders_2 B) (forall ((C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k4_tarski C D))) (let ((_let_2 (tptp.r2_hidden _let_1 (tptp.u1_orders_2 (tptp.k1_latsum_1 A B))))) (and (=> (tptp.r2_hidden _let_1 (tptp.u1_orders_2 A)) _let_2) (=> (tptp.r2_hidden _let_1 (tptp.u1_orders_2 B)) _let_2))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.l1_orders_2 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 (tptp.k1_latsum_1 A B))) (or (tptp.r2_hidden C _let_1) (tptp.r2_hidden C (tptp.k4_xboole_0 (tptp.u1_struct_0 B) _let_1)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.l1_orders_2 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 $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.u1_struct_0 (tptp.k1_latsum_1 A B))) (forall ((F $$unsorted)) (let ((_let_1 (tptp.k1_latsum_1 A B))) (=> (tptp.m1_subset_1 F (tptp.u1_struct_0 _let_1)) (=> (and (= C E) (= D F) (tptp.r1_latsum_1 A B) (tptp.v3_orders_2 A)) (= (tptp.r1_orders_2 A C D) (tptp.r1_orders_2 _let_1 E F)))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.l1_orders_2 B)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 (tptp.k1_latsum_1 A B))) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 (tptp.k1_latsum_1 A B))) (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 (= C E) (= D F) (tptp.r1_latsum_1 A B) (tptp.v3_orders_2 B)) (= (tptp.r1_orders_2 (tptp.k1_latsum_1 A B) C D) (tptp.r1_orders_2 B E F))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.v1_lattice3 B) (tptp.l1_orders_2 B)) (forall ((C $$unsorted)) (=> (tptp.r2_hidden C (tptp.u1_struct_0 A)) (tptp.m1_subset_1 C (tptp.u1_struct_0 (tptp.k1_latsum_1 A B))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.v1_lattice3 B) (tptp.l1_orders_2 B)) (forall ((C $$unsorted)) (=> (tptp.r2_hidden C (tptp.u1_struct_0 B)) (tptp.m1_subset_1 C (tptp.u1_struct_0 (tptp.k1_latsum_1 A B))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.l1_orders_2 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.r2_hidden C (tptp.k3_xboole_0 _let_1 (tptp.u1_struct_0 B))) (tptp.m1_subset_1 C _let_1)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.l1_orders_2 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (=> (tptp.r2_hidden C (tptp.k3_xboole_0 (tptp.u1_struct_0 A) _let_1)) (tptp.m1_subset_1 C _let_1)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.v1_lattice3 B) (tptp.l1_orders_2 B)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 (tptp.k1_latsum_1 A B))) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k1_latsum_1 A B))) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 _let_1)) (=> (and (tptp.r2_hidden C (tptp.u1_struct_0 A)) (tptp.r2_hidden D (tptp.u1_struct_0 B)) (tptp.r1_latsum_1 A B)) (= (tptp.r1_orders_2 _let_1 C D) (exists ((E $$unsorted)) (let ((_let_1 (tptp.k1_latsum_1 A B))) (and (tptp.m1_subset_1 E (tptp.u1_struct_0 _let_1)) (tptp.r2_hidden E (tptp.k3_xboole_0 (tptp.u1_struct_0 A) (tptp.u1_struct_0 B))) (tptp.r1_orders_2 _let_1 C E) (tptp.r1_orders_2 _let_1 E D))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.l1_orders_2 B)) (forall ((C $$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 $$unsorted)) (=> (tptp.m1_subset_1 F (tptp.u1_struct_0 B)) (=> (and (= C E) (= D F) (tptp.r1_latsum_1 A B) (tptp.v3_orders_2 A) (tptp.v3_orders_2 B)) (= (tptp.r1_orders_2 A C D) (tptp.r1_orders_2 B E F))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_waybel_0 B A) (tptp.v12_waybel_0 B A) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (=> (and (tptp.r2_hidden C B) (tptp.r2_hidden D B)) (tptp.r2_hidden (tptp.k13_lattice3 A C D) B)))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_orders_2 A) (forall ((B $$unsorted)) (=> (tptp.l1_orders_2 B) (forall ((C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (let ((_let_3 (tptp.k3_xboole_0 _let_2 _let_1))) (=> (and (tptp.v13_waybel_0 _let_3 A) (tptp.m1_subset_1 _let_3 (tptp.k1_zfmisc_1 _let_2)) (tptp.r2_hidden (tptp.k4_tarski C D) (tptp.u1_orders_2 (tptp.k1_latsum_1 A B))) (tptp.r2_hidden C _let_1)) (tptp.r2_hidden D _let_1)))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_orders_2 A) (forall ((B $$unsorted)) (=> (tptp.l1_orders_2 B) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 (tptp.k1_latsum_1 A B))) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.k1_latsum_1 A B))) (let ((_let_3 (tptp.u1_struct_0 A))) (let ((_let_4 (tptp.k3_xboole_0 _let_3 _let_1))) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 _let_2)) (=> (and (tptp.v13_waybel_0 _let_4 A) (tptp.m1_subset_1 _let_4 (tptp.k1_zfmisc_1 _let_3)) (tptp.r1_orders_2 _let_2 C D) (tptp.r2_hidden C _let_1)) (tptp.r2_hidden D _let_1)))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.v1_lattice3 B) (tptp.l1_orders_2 B)) (forall ((C $$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 $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.u1_struct_0 B))) (let ((_let_3 (tptp.k3_xboole_0 _let_1 _let_2))) (=> (tptp.m1_subset_1 F _let_2) (=> (and (tptp.v1_waybel_0 _let_3 B) (tptp.v12_waybel_0 _let_3 B) (tptp.m1_subset_1 _let_3 (tptp.k1_zfmisc_1 _let_2)) (tptp.v13_waybel_0 _let_3 A) (tptp.m1_subset_1 _let_3 (tptp.k1_zfmisc_1 _let_1)) (tptp.r1_latsum_1 A B) (= C E) (= D F)) (= (tptp.k13_lattice3 A C D) (tptp.k13_lattice3 B E F)))))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_yellow_0 A) (tptp.v1_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.u1_struct_0 B))) (let ((_let_3 (tptp.k3_xboole_0 _let_1 _let_2))) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.v1_yellow_0 B) (tptp.v1_lattice3 B) (tptp.l1_orders_2 B)) (=> (and (not (tptp.v1_xboole_0 _let_3)) (tptp.v1_waybel_0 _let_3 B) (tptp.v12_waybel_0 _let_3 B) (tptp.m1_subset_1 _let_3 (tptp.k1_zfmisc_1 _let_2))) (tptp.r2_hidden (tptp.k3_yellow_0 B) _let_1))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_orders_2 A) (forall ((B $$unsorted)) (=> (tptp.l1_orders_2 B) (forall ((C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.u1_struct_0 B))) (let ((_let_3 (tptp.k3_xboole_0 _let_1 _let_2))) (=> (and (tptp.v12_waybel_0 _let_3 B) (tptp.m1_subset_1 _let_3 (tptp.k1_zfmisc_1 _let_2)) (tptp.r2_hidden (tptp.k4_tarski C D) (tptp.u1_orders_2 (tptp.k1_latsum_1 A B))) (tptp.r2_hidden D _let_1)) (tptp.r2_hidden C _let_1)))))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.l1_orders_2 C) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 C))) (let ((_let_2 (tptp.u1_struct_0 D))) (let ((_let_3 (tptp.k3_xboole_0 _let_1 _let_2))) (=> (tptp.l1_orders_2 D) (not (and (tptp.r2_hidden (tptp.k4_tarski A B) (tptp.u1_orders_2 (tptp.k1_latsum_1 C D))) (tptp.v13_waybel_0 _let_3 C) (tptp.m1_subset_1 _let_3 (tptp.k1_zfmisc_1 _let_1)) (not (and (tptp.r2_hidden A _let_1) (tptp.r2_hidden B _let_1))) (not (and (tptp.r2_hidden A _let_2) (tptp.r2_hidden B _let_2))) (not (and (tptp.r2_hidden A (tptp.k4_xboole_0 _let_1 _let_2)) (tptp.r2_hidden B (tptp.k4_xboole_0 _let_2 _let_1))))))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_orders_2 A) (forall ((B $$unsorted)) (=> (tptp.l1_orders_2 B) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 (tptp.k1_latsum_1 A B))) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.k1_latsum_1 A B))) (let ((_let_3 (tptp.u1_struct_0 B))) (let ((_let_4 (tptp.k3_xboole_0 _let_1 _let_3))) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 _let_2)) (=> (and (tptp.v12_waybel_0 _let_4 B) (tptp.m1_subset_1 _let_4 (tptp.k1_zfmisc_1 _let_3)) (tptp.r1_orders_2 _let_2 C D) (tptp.r2_hidden D _let_1)) (tptp.r2_hidden C _let_1)))))))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_orders_2 A) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (let ((_let_3 (tptp.k3_xboole_0 _let_2 _let_1))) (=> (tptp.l1_orders_2 B) (=> (and (tptp.r1_latsum_1 A B) (tptp.v13_waybel_0 _let_3 A) (tptp.m1_subset_1 _let_3 (tptp.k1_zfmisc_1 _let_2)) (tptp.v12_waybel_0 _let_3 B) (tptp.m1_subset_1 _let_3 (tptp.k1_zfmisc_1 _let_1)) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B)) (tptp.v4_orders_2 (tptp.k1_latsum_1 A B)))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_orders_2 A) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (let ((_let_3 (tptp.k3_xboole_0 _let_2 _let_1))) (=> (tptp.l1_orders_2 B) (=> (and (tptp.v13_waybel_0 _let_3 A) (tptp.m1_subset_1 _let_3 (tptp.k1_zfmisc_1 _let_2)) (tptp.v12_waybel_0 _let_3 B) (tptp.m1_subset_1 _let_3 (tptp.k1_zfmisc_1 _let_1)) (tptp.r1_latsum_1 A B) (tptp.v3_orders_2 A) (tptp.v3_orders_2 B)) (tptp.v3_orders_2 (tptp.k1_latsum_1 A B)))))))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k1_latsum_1 A B))) (=> (and (tptp.l1_orders_2 A) (tptp.l1_orders_2 B)) (and (tptp.v1_orders_2 _let_1) (tptp.l1_orders_2 _let_1))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 B)) (tptp.m2_relset_1 E B C)) (= (tptp.r2_hidden A (tptp.a_4_0_relset_2 B C D E)) (exists ((F $$unsorted)) (and (tptp.m1_subset_1 F B) (= A (tptp.k2_relset_2 B C E F)) (tptp.r2_hidden F D)))))) _let_2 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_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.k1_relset_2 A B C) _let_1)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 A)))) (=> (and (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (= (tptp.k1_relset_2 A B C) (tptp.k1_relset_2 A C B))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 A)))) (=> (and (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (= (tptp.k1_relset_2 A B B) B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 A)))) (=> (and (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (= (tptp.k1_relset_2 A B C) (tptp.k3_xboole_0 B C))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.m1_relset_1 C A B) (tptp.m1_subset_1 D A)) (tptp.m1_subset_1 (tptp.k2_relset_2 A B C D) (tptp.k1_zfmisc_1 B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.m1_relset_1 C A B) (tptp.m1_subset_1 D A)) (tptp.m1_subset_1 (tptp.k3_relset_2 A B C D) (tptp.k1_zfmisc_1 A)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 B))) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.k2_zfmisc_1 A _let_1))) (tptp.m1_subset_1 (tptp.k4_relset_2 A B C D) (tptp.k1_zfmisc_1 _let_1))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.k2_zfmisc_1 A (tptp.k1_zfmisc_1 B)))) (= (tptp.k4_relset_2 A B C D) (tptp.k9_relat_1 C D)))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k5_relset_2 A B))) (=> (tptp.v1_relat_1 B) (and (tptp.v1_relat_1 _let_1) (tptp.v1_funct_1 _let_1))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 A))) (let ((_let_2 (tptp.k1_zfmisc_1 B))) (let ((_let_3 (tptp.k6_relset_2 A B C))) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.k2_zfmisc_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 $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.k2_zfmisc_1 B A))) (= (tptp.k6_relset_2 A B C) (tptp.k5_relset_2 B C)))) true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 A)) (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.k2_zfmisc_1 A B)))) (tptp.m1_subset_1 (tptp.k8_relset_2 A B C D) (tptp.k1_zfmisc_1 B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 A)) (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.k2_zfmisc_1 A B)))) (= (tptp.k8_relset_2 A B C D) (tptp.k7_relset_2 A B C D)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (=> (and (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.k2_zfmisc_1 A B))) (tptp.m1_subset_1 E (tptp.k1_zfmisc_1 (tptp.k2_zfmisc_1 B C)))) (tptp.m2_relset_1 (tptp.k9_relset_2 A B C D E) A C))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (=> (and (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.k2_zfmisc_1 A B))) (tptp.m1_subset_1 E (tptp.k1_zfmisc_1 (tptp.k2_zfmisc_1 B C)))) (= (tptp.k9_relset_2 A B C D E) (tptp.k5_relat_1 D E)))) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.r2_hidden A (tptp.k3_pua2mss1 B)) (exists ((C $$unsorted)) (and (= A (tptp.k1_tarski C)) (tptp.r2_hidden C B))))) (forall ((A $$unsorted)) (= (= A tptp.k1_xboole_0) (= (tptp.k3_pua2mss1 A) tptp.k1_xboole_0))) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.k3_pua2mss1 (tptp.k2_xboole_0 A B)) (tptp.k2_xboole_0 (tptp.k3_pua2mss1 A) (tptp.k3_pua2mss1 B)))) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.k3_pua2mss1 (tptp.k3_xboole_0 A B)) (tptp.k3_xboole_0 (tptp.k3_pua2mss1 A) (tptp.k3_pua2mss1 B)))) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.k3_pua2mss1 (tptp.k4_xboole_0 A B)) (tptp.k4_xboole_0 (tptp.k3_pua2mss1 A) (tptp.k3_pua2mss1 B)))) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.r1_tarski A B) (tptp.r1_tarski (tptp.k3_pua2mss1 A) (tptp.k3_pua2mss1 B)))) (forall ((A $$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 (tptp.k1_zfmisc_1 A))) (tptp.r1_tarski (tptp.k5_subset_1 A (tptp.k8_setfam_1 A B) (tptp.k8_setfam_1 A C)) (tptp.k8_setfam_1 A (tptp.k1_relset_2 A B C))))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (forall ((B $$unsorted)) (=> (tptp.v1_relat_1 B) (forall ((C $$unsorted)) (=> (tptp.v1_relat_1 C) (tptp.r1_tarski (tptp.k5_relat_1 (tptp.k3_xboole_0 A B) C) (tptp.k3_xboole_0 (tptp.k5_relat_1 A C) (tptp.k5_relat_1 B C))))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.m2_relset_1 C A B) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D A) (= (tptp.k2_relset_2 A B C D) (tptp.k10_relset_1 A B C (tptp.k1_tarski D))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.v1_relat_1 C) (= (tptp.r2_hidden A (tptp.k9_relat_1 C (tptp.k1_tarski B))) (tptp.r2_hidden (tptp.k4_tarski B A) C)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.v1_relat_1 B) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k1_tarski A))) (=> (tptp.v1_relat_1 C) (= (tptp.k9_relat_1 (tptp.k2_xboole_0 B C) _let_1) (tptp.k2_xboole_0 (tptp.k9_relat_1 B _let_1) (tptp.k9_relat_1 C _let_1)))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.v1_relat_1 B) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k1_tarski A))) (=> (tptp.v1_relat_1 C) (= (tptp.k9_relat_1 (tptp.k3_xboole_0 B C) _let_1) (tptp.k3_xboole_0 (tptp.k9_relat_1 B _let_1) (tptp.k9_relat_1 C _let_1)))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.v1_relat_1 B) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k1_tarski A))) (=> (tptp.v1_relat_1 C) (= (tptp.k9_relat_1 (tptp.k4_xboole_0 B C) _let_1) (tptp.k4_xboole_0 (tptp.k9_relat_1 B _let_1) (tptp.k9_relat_1 C _let_1)))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.v1_relat_1 B) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k3_pua2mss1 A))) (=> (tptp.v1_relat_1 C) (tptp.r1_tarski (tptp.k9_relat_1 (tptp.k3_xboole_0 B C) _let_1) (tptp.k3_xboole_0 (tptp.k9_relat_1 B _let_1) (tptp.k9_relat_1 C _let_1)))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.m2_relset_1 C A B) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D A) (= (tptp.k3_relset_2 A B C D) (tptp.k11_relset_1 A B C (tptp.k1_tarski D))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 A))) (forall ((C $$unsorted)) (=> (tptp.v1_relat_1 C) (= (tptp.k9_relat_1 C (tptp.k5_setfam_1 A B)) (tptp.k3_tarski (tptp.a_3_0_relset_2 A B C))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (= B (tptp.k3_tarski (tptp.a_2_0_relset_2 A B))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 A))) (=> (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 (tptp.a_2_0_relset_2 A B) (tptp.k1_zfmisc_1 _let_1))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted) (C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 A)) (forall ((D $$unsorted)) (=> (tptp.m2_relset_1 D A B) (= (tptp.k10_relset_1 A B D C) (tptp.k3_tarski (tptp.a_4_0_relset_2 A B C D))))))))) _let_1 true))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 18.54/18.80  )
% 18.54/18.80  % SZS output end Proof for SEU424+3
% 18.54/18.80  % cvc5---1.0.5 exiting
% 18.54/18.81  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------