%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : ALG226+2 : TPTP v8.1.2. Released v3.4.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n025.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 : Wed Aug 30 16:08:47 EDT 2023

% Result   : Theorem 123.12s 123.37s
% Output   : Proof 123.21s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.46  % Problem    : ALG226+2 : TPTP v8.1.2. Released v3.4.0.
% 0.12/0.47  % Command    : do_cvc5 %s %d
% 0.47/0.67  % Computer : n025.cluster.edu
% 0.47/0.67  % Model    : x86_64 x86_64
% 0.47/0.67  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.47/0.67  % Memory   : 8042.1875MB
% 0.47/0.67  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.47/0.67  % CPULimit   : 300
% 0.47/0.67  % WCLimit    : 300
% 0.47/0.67  % DateTime   : Mon Aug 28 04:54:40 EDT 2023
% 0.47/0.67  % CPUTime    : 
% 1.05/1.21  %----Proving TF0_NAR, FOF, or CNF
% 123.12/123.37  ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.eWcrgUZ6Pr/cvc5---1.0.5_19822.p...
% 123.12/123.37  ------- get file name : TPTP file name is ALG226+2
% 123.12/123.37  ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_19822.smt2...
% 123.12/123.37  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 123.12/123.37  --- Run --no-e-matching --full-saturate-quant at 5...
% 123.12/123.37  --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 5...
% 123.12/123.37  --- Run --finite-model-find --uf-ss=no-minimal at 5...
% 123.12/123.37  --- Run --multi-trigger-when-single --full-saturate-quant at 5...
% 123.12/123.37  --- Run --trigger-sel=max --full-saturate-quant at 5...
% 123.12/123.37  --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 5...
% 123.12/123.37  --- Run --multi-trigger-cache --full-saturate-quant at 5...
% 123.12/123.37  --- Run --prenex-quant=none --full-saturate-quant at 5...
% 123.12/123.37  --- Run --enum-inst-interleave --decision=internal --full-saturate-quant at 5...
% 123.12/123.37  --- Run --relevant-triggers --full-saturate-quant at 5...
% 123.12/123.37  --- Run --finite-model-find --e-matching --sort-inference --uf-ss-fair at 5...
% 123.12/123.37  --- Run --pre-skolem-quant=on --full-saturate-quant at 10...
% 123.12/123.37  --- Run --cbqi-vo-exp --full-saturate-quant at 10...
% 123.12/123.37  --- Run --no-cbqi --full-saturate-quant at 10...
% 123.12/123.37  --- Run --macros-quant --macros-quant-mode=all --full-saturate-quant...
% 123.12/123.37  % SZS status Theorem for ALG226+2
% 123.12/123.37  % SZS output start Proof for ALG226+2
% 123.12/123.37  (
% 123.12/123.37  (let ((_let_1 (not (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 $$unsorted)) (let ((_let_1 (tptp.k1_closure3 A C))) (let ((_let_2 (tptp.k1_closure3 A B))) (=> (and (tptp.v2_relat_1 C) (tptp.m1_pboole C A)) (=> (and (= _let_2 _let_1) (= (tptp.k7_relat_1 B _let_2) (tptp.k7_relat_1 C _let_1))) (tptp.r6_pboole A B C))))))))))))) (let ((_let_2 (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (and (tptp.v2_relat_1 B) (tptp.m1_pboole B A)) (= B (tptp.k1_funct_4 (tptp.k1_pboole A) (tptp.k7_relat_1 B (tptp.k1_closure3 A B)))))))))) (let ((_let_3 (tptp.k1_tarski tptp.k1_xboole_0))) (let ((_let_4 (forall ((A $$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))))))))))) (let ((_let_5 (tptp.v3_vectsp_1 tptp.k3_vectsp_1))) (let ((_let_6 (tptp.v1_rlvect_1 tptp.k1_vectsp_1))) (let ((_let_7 (tptp.k2_group_1 tptp.k3_vectsp_1))) (let ((_let_8 (= tptp.k3_vectsp_1 (tptp.g3_vectsp_1 tptp.k1_numbers tptp.k33_binop_2 tptp.k35_binop_2 tptp.np__1 tptp.np__0)))) (let ((_let_9 (= tptp.k1_vectsp_1 (tptp.g1_rlvect_1 tptp.k1_numbers tptp.k33_binop_2 tptp.np__0)))) (let ((_let_10 (tptp.v2_group_1 tptp.k3_vectsp_1))) (let ((_let_11 (not (tptp.v3_struct_0 tptp.k3_vectsp_1)))) (let ((_let_12 (not (tptp.v3_struct_0 tptp.k1_vectsp_1)))) (let ((_let_13 (tptp.g1_group_1 tptp.k1_numbers tptp.k33_binop_2))) (let ((_let_14 (tptp.v4_group_1 _let_13))) (let ((_let_15 (tptp.v3_group_1 _let_13))) (let ((_let_16 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.k2_pre_circ A B) (tptp.k2_funcop_1 A B))))) (let ((_let_17 (forall ((A $$unsorted)) (= (tptp.v1_realset1 A) (not (and (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (not (= A (tptp.k1_tarski B)))))))))) (let ((_let_18 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.k10_pboole A B) (tptp.k2_funcop_1 A B))))) (let ((_let_19 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.m1_pboole B A) (tptp.m1_pboole C A)) (= (tptp.r6_pboole A B C) (= B C)))))) (let ((_let_20 (tptp.k1_pboole tptp.k1_xboole_0))) (let ((_let_21 (forall ((A $$unsorted)) (= (tptp.k1_pboole A) (tptp.k2_funcop_1 A tptp.k1_xboole_0))))) (let ((_let_22 (tptp.v1_funct_1 tptp.k1_xboole_0))) (let ((_let_23 (tptp.v1_relat_1 tptp.k1_xboole_0))) (let ((_let_24 (forall ((A $$unsorted)) (= (tptp.k3_finseq_2 A) (tptp.k13_finseq_1 A))))) (let ((_let_25 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.k2_relat_1 (tptp.k11_finseq_1 A B C)) (tptp.k1_enumset1 A B C))))) (let ((_let_26 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.m1_finseq_2 B A) (forall ((C $$unsorted)) (=> (tptp.r2_hidden C B) (tptp.m2_finseq_1 C A))))))) (let ((_let_27 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.m2_finseq_1 B A) (tptp.m1_finseq_1 B A))))) (let ((_let_28 (forall ((A $$unsorted)) (= (tptp.k9_finseq_1 A) (tptp.k1_tarski (tptp.k4_tarski tptp.np__1 A)))))) (let ((_let_29 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.k11_finseq_1 A B C) (tptp.k7_finseq_1 (tptp.k7_finseq_1 (tptp.k9_finseq_1 A) (tptp.k9_finseq_1 B)) (tptp.k9_finseq_1 C)))))) (let ((_let_30 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.k10_finseq_1 A B) (tptp.k7_finseq_1 (tptp.k9_finseq_1 A) (tptp.k9_finseq_1 B)))))) (let ((_let_31 (forall ((A $$unsorted)) (= (tptp.k6_finseq_1 A) tptp.k1_xboole_0)))) (let ((_let_32 (forall ((A $$unsorted)) (= (tptp.k5_finseq_1 A) (tptp.k1_tarski (tptp.k4_tarski tptp.np__1 A)))))) (let ((_let_33 (tptp.v1_finseq_1 tptp.k1_xboole_0))) (let ((_let_34 (tptp.v2_funct_1 tptp.k1_xboole_0))) (let ((_let_35 (tptp.v3_relat_1 tptp.k1_xboole_0))) (let ((_let_36 (tptp.v1_xboole_0 tptp.k1_xboole_0))) (let ((_let_37 (tptp.k1_card_1 tptp.k5_ordinal2))) (let ((_let_38 (tptp.k3_card_1 tptp.np__0))) (let ((_let_39 (= _let_38 tptp.k5_ordinal2))) (let ((_let_40 (= tptp.np__0 tptp.k1_xboole_0))) (let ((_let_41 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.r2_wellord2 A B) (= (tptp.k1_card_1 A) (tptp.k1_card_1 B)))))) (let ((_let_42 (forall ((A $$unsorted)) (= (tptp.v1_card_1 A) (exists ((B $$unsorted)) (and (tptp.v3_ordinal1 B) (= A B) (forall ((C $$unsorted)) (=> (tptp.v3_ordinal1 C) (=> (tptp.r2_wellord2 C B) (tptp.r1_ordinal1 B C)))))))))) (let ((_let_43 (forall ((A $$unsorted)) (= (tptp.v5_membered A) (forall ((B $$unsorted)) (=> (tptp.r2_hidden B A) (tptp.v4_ordinal2 B))))))) (let ((_let_44 (forall ((A $$unsorted)) (= (tptp.v4_membered A) (forall ((B $$unsorted)) (=> (tptp.r2_hidden B A) (tptp.v1_int_1 B))))))) (let ((_let_45 (forall ((A $$unsorted)) (= (tptp.v3_membered A) (forall ((B $$unsorted)) (=> (tptp.r2_hidden B A) (tptp.v1_rat_1 B))))))) (let ((_let_46 (forall ((A $$unsorted)) (= (tptp.v2_membered A) (forall ((B $$unsorted)) (=> (tptp.r2_hidden B A) (tptp.v1_xreal_0 B))))))) (let ((_let_47 (forall ((A $$unsorted)) (= (tptp.v1_membered A) (forall ((B $$unsorted)) (=> (tptp.r2_hidden B A) (tptp.v1_xcmplx_0 B))))))) (let ((_let_48 (not (tptp.v1_xboole_0 tptp.k4_numbers)))) (let ((_let_49 (not (tptp.v1_xboole_0 tptp.k3_numbers)))) (let ((_let_50 (not (tptp.v1_xboole_0 tptp.k1_numbers)))) (let ((_let_51 (not (tptp.v1_xboole_0 tptp.k2_numbers)))) (let ((_let_52 (forall ((A $$unsorted)) (= (tptp.v1_int_1 A) (tptp.r2_hidden A tptp.k4_numbers))))) (let ((_let_53 (forall ((A $$unsorted)) (= (tptp.v1_xreal_0 A) (tptp.r2_hidden A tptp.k1_numbers))))) (let ((_let_54 (= tptp.k2_numbers (tptp.k2_xboole_0 (tptp.k4_xboole_0 (tptp.k1_funct_2 (tptp.k2_tarski tptp.np__0 tptp.k13_arytm_3) tptp.k1_numbers) tptp.a_0_0_numbers) tptp.k1_numbers)))) (let ((_let_55 (= tptp.k5_numbers tptp.k5_ordinal2))) (let ((_let_56 (tptp.k1_tarski (tptp.k4_tarski tptp.np__0 tptp.np__0)))) (let ((_let_57 (tptp.k1_tarski tptp.np__0))) (let ((_let_58 (= tptp.k4_numbers (tptp.k4_xboole_0 (tptp.k2_xboole_0 tptp.k5_ordinal2 (tptp.k2_zfmisc_1 _let_57 tptp.k5_ordinal2)) _let_56)))) (let ((_let_59 (= tptp.k3_numbers (tptp.k4_xboole_0 (tptp.k2_xboole_0 tptp.k6_arytm_3 (tptp.k2_zfmisc_1 _let_57 tptp.k6_arytm_3)) _let_56)))) (let ((_let_60 (= tptp.k1_numbers (tptp.k4_xboole_0 (tptp.k2_xboole_0 tptp.k2_arytm_2 (tptp.k2_zfmisc_1 _let_57 tptp.k2_arytm_2)) _let_56)))) (let ((_let_61 (= tptp.a_0_36_fraenkel tptp.a_0_37_fraenkel))) (let ((_let_62 (tptp.r1_xboole_0 tptp.a_0_33_fraenkel tptp.f2_s18_fraenkel))) (let ((_let_63 (= tptp.a_0_27_fraenkel tptp.a_0_29_fraenkel))) (let ((_let_64 (= tptp.a_0_24_fraenkel tptp.a_0_26_fraenkel))) (let ((_let_65 (= tptp.a_0_21_fraenkel tptp.a_0_23_fraenkel))) (let ((_let_66 (forall ((A $$unsorted)) (= (tptp.v1_fraenkel A) (forall ((B $$unsorted)) (=> (tptp.r2_hidden B A) (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)))))))) (let ((_let_67 (forall ((A $$unsorted)) (= (tptp.v1_finset_1 A) (exists ((B $$unsorted)) (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (= (tptp.k2_relat_1 B) A) (tptp.r2_hidden (tptp.k1_relat_1 B) tptp.k5_ordinal2))))))) (let ((_let_68 (tptp.r2_hidden tptp.k1_xboole_0 tptp.f1_s4_ordinal2))) (let ((_let_69 (forall ((A $$unsorted)) (= (tptp.v4_ordinal2 A) (tptp.r2_hidden A tptp.k5_ordinal2))))) (let ((_let_70 (forall ((A $$unsorted)) (= (tptp.k6_ordinal2 A) (tptp.k1_setfam_1 (tptp.k2_ordinal2 A)))))) (let ((_let_71 (= tptp.k4_ordinal2 (tptp.k1_ordinal1 tptp.k1_xboole_0)))) (let ((_let_72 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (= (tptp.k4_funct_4 A B C D) (tptp.k1_funct_4 (tptp.k2_funcop_1 (tptp.k1_tarski A) C) (tptp.k2_funcop_1 (tptp.k1_tarski B) D)))))) (let ((_let_73 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.k2_funcop_1 A B) (tptp.k2_zfmisc_1 A (tptp.k1_tarski B)))))) (let ((_let_74 (forall ((A $$unsorted)) (let ((_let_1 (tptp.k6_partfun1 A))) (= (tptp.k12_funct_3 A) (tptp.k13_funct_3 _let_1 _let_1)))))) (let ((_let_75 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.k5_partfun1 A B (tptp.k3_partfun1 tptp.k1_xboole_0 A B)) (tptp.k1_funct_2 A B))))) (let ((_let_76 (forall ((A $$unsorted)) (= (tptp.k6_partfun1 A) (tptp.k6_relat_1 A))))) (let ((_let_77 (= (tptp.k2_relat_1 tptp.k1_xboole_0) tptp.k1_xboole_0))) (let ((_let_78 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.m2_relset_1 C A B) (tptp.m1_relset_1 C A B))))) (let ((_let_79 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.m1_relset_1 C A B) (tptp.r1_tarski C (tptp.k2_zfmisc_1 A B)))))) (let ((_let_80 (forall ((A $$unsorted)) (= (tptp.v6_ordinal1 A) (forall ((B $$unsorted) (C $$unsorted)) (=> (and (tptp.r2_hidden B A) (tptp.r2_hidden C A)) (tptp.r3_xboole_0 B C))))))) (let ((_let_81 (forall ((A $$unsorted)) (= (tptp.v4_ordinal1 A) (= A (tptp.k3_tarski A)))))) (let ((_let_82 (tptp.v3_ordinal1 tptp.k1_xboole_0))) (let ((_let_83 (forall ((A $$unsorted)) (= (tptp.v3_ordinal1 A) (and (tptp.v1_ordinal1 A) (tptp.v2_ordinal1 A)))))) (let ((_let_84 (forall ((A $$unsorted)) (= (tptp.v2_ordinal1 A) (forall ((B $$unsorted) (C $$unsorted)) (not (and (tptp.r2_hidden B A) (tptp.r2_hidden C A) (not (tptp.r2_hidden B C)) (not (= B C)) (not (tptp.r2_hidden C B))))))))) (let ((_let_85 (forall ((A $$unsorted)) (= (tptp.v1_ordinal1 A) (forall ((B $$unsorted)) (=> (tptp.r2_hidden B A) (tptp.r1_tarski B A))))))) (let ((_let_86 (forall ((A $$unsorted)) (= (tptp.k1_ordinal1 A) (tptp.k2_xboole_0 A (tptp.k1_tarski A)))))) (let ((_let_87 (forall ((A $$unsorted)) (= (tptp.v1_funct_1 A) (forall ((B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.r2_hidden (tptp.k4_tarski B C) A) (tptp.r2_hidden (tptp.k4_tarski B D) A)) (= C D))))))) (let ((_let_88 (forall ((A $$unsorted)) (= (tptp.v1_relat_1 A) (forall ((B $$unsorted)) (not (and (tptp.r2_hidden B A) (forall ((C $$unsorted) (D $$unsorted)) (not (= B (tptp.k4_tarski C D))))))))))) (let ((_let_89 (forall ((A $$unsorted)) (= (tptp.v2_setfam_1 A) (forall ((B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (not (tptp.r2_hidden B A)))))))) (let ((_let_90 (forall ((A $$unsorted)) (= (tptp.v1_setfam_1 A) (not (tptp.r2_hidden tptp.k1_xboole_0 A)))))) (let ((_let_91 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.r2_setfam_1 A B) (forall ((C $$unsorted)) (not (and (tptp.r2_hidden C B) (forall ((D $$unsorted)) (not (and (tptp.r2_hidden D A) (tptp.r1_tarski D C))))))))))) (let ((_let_92 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.r1_setfam_1 A B) (forall ((C $$unsorted)) (not (and (tptp.r2_hidden C A) (forall ((D $$unsorted)) (not (and (tptp.r2_hidden D B) (tptp.r1_tarski C D))))))))))) (let ((_let_93 (forall ((A $$unsorted)) (= (tptp.k2_subset_1 A) A)))) (let ((_let_94 (forall ((A $$unsorted)) (= (tptp.k1_subset_1 A) tptp.k1_xboole_0)))) (let ((_let_95 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.k3_tarski (tptp.k2_tarski A B)) (tptp.k2_xboole_0 A B))))) (let ((_let_96 (forall ((A $$unsorted) (B $$unsorted)) (= (= (tptp.k4_xboole_0 A (tptp.k1_tarski B)) A) (not (tptp.r2_hidden B A)))))) (let ((_let_97 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (= (tptp.k4_zfmisc_1 A B C D) (tptp.k2_zfmisc_1 (tptp.k3_zfmisc_1 A B C) D))))) (let ((_let_98 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.k3_zfmisc_1 A B C) (tptp.k2_zfmisc_1 (tptp.k2_zfmisc_1 A B) C))))) (let ((_let_99 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.k4_xboole_0 A (tptp.k4_xboole_0 A B)) (tptp.k3_xboole_0 A B))))) (let ((_let_100 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.r3_xboole_0 A B) (or (tptp.r1_tarski A B) (tptp.r1_tarski B A)))))) (let ((_let_101 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.r2_xboole_0 A B) (and (tptp.r1_tarski A B) (not (= A B))))))) (let ((_let_102 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.r1_xboole_0 A B) (= (tptp.k3_xboole_0 A B) tptp.k1_xboole_0))))) (let ((_let_103 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.k5_xboole_0 A B) (tptp.k2_xboole_0 (tptp.k4_xboole_0 A B) (tptp.k4_xboole_0 B A)))))) (let ((_let_104 (forall ((A $$unsorted)) (= (tptp.v1_xboole_0 A) (= A tptp.k1_xboole_0))))) (let ((_let_105 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.r2_tarski A B) (exists ((C $$unsorted)) (and (forall ((D $$unsorted)) (not (and (tptp.r2_hidden D A) (forall ((E $$unsorted)) (not (and (tptp.r2_hidden E B) (tptp.r2_hidden (tptp.k4_tarski D E) C))))))) (forall ((D $$unsorted)) (not (and (tptp.r2_hidden D B) (forall ((E $$unsorted)) (not (and (tptp.r2_hidden E A) (tptp.r2_hidden (tptp.k4_tarski E D) C))))))) (forall ((D $$unsorted) (E $$unsorted) (F $$unsorted) (G $$unsorted)) (=> (and (tptp.r2_hidden (tptp.k4_tarski D E) C) (tptp.r2_hidden (tptp.k4_tarski F G) C)) (= (= D F) (= E G)))))))))) (let ((_let_106 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.k4_tarski A B) (tptp.k2_tarski (tptp.k2_tarski A B) (tptp.k1_tarski A)))))) (let ((_let_107 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.r1_tarski A B) (forall ((C $$unsorted)) (=> (tptp.r2_hidden C A) (tptp.r2_hidden C B))))))) (let ((_let_108 (tptp.k1_closure3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_142 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_143))) (let ((_let_109 (tptp.k7_relat_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_143 _let_108))) (let ((_let_110 (tptp.k1_closure3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_142 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_144))) (let ((_let_111 (tptp.k7_relat_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_144 _let_110))) (let ((_let_112 (= _let_111 _let_109))) (let ((_let_113 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_143 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_144))) (let ((_let_114 (tptp.k4_xboole_0 tptp.a_0_33_fraenkel (tptp.k4_xboole_0 tptp.a_0_33_fraenkel tptp.f2_s18_fraenkel)))) (let ((_let_115 (tptp.k2_zfmisc_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_142 (tptp.k1_tarski _let_114)))) (let ((_let_116 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_143 (tptp.k1_funct_4 _let_115 _let_109)))) (let ((_let_117 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_144 (tptp.k1_funct_4 _let_115 _let_111)))) (let ((_let_118 (tptp.r6_pboole SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_142 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_144 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_143))) (let ((_let_119 (not _let_112))) (let ((_let_120 (not (= _let_110 _let_108)))) (let ((_let_121 (tptp.m1_pboole SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_143 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_142))) (let ((_let_122 (not _let_121))) (let ((_let_123 (tptp.v2_relat_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_143))) (let ((_let_124 (not _let_123))) (let ((_let_125 (tptp.m1_pboole SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_144 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_142))) (let ((_let_126 (not _let_125))) (let ((_let_127 (tptp.v2_relat_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_144))) (let ((_let_128 (not _let_127))) (let ((_let_129 (= _let_114 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_142))) (let ((_let_130 (or _let_129 _let_128 _let_126 _let_124 _let_122 _let_120 _let_119 _let_118))) (let ((_let_131 (forall ((A $$unsorted) (BOUND_VARIABLE_186826 $$unsorted) (BOUND_VARIABLE_186824 $$unsorted)) (let ((_let_1 (tptp.k1_closure3 A BOUND_VARIABLE_186826))) (let ((_let_2 (tptp.k1_closure3 A BOUND_VARIABLE_186824))) (or (= A (tptp.k4_xboole_0 tptp.a_0_33_fraenkel (tptp.k4_xboole_0 tptp.a_0_33_fraenkel tptp.f2_s18_fraenkel))) (not (tptp.v2_relat_1 BOUND_VARIABLE_186824)) (not (tptp.m1_pboole BOUND_VARIABLE_186824 A)) (not (tptp.v2_relat_1 BOUND_VARIABLE_186826)) (not (tptp.m1_pboole BOUND_VARIABLE_186826 A)) (not (= _let_2 _let_1)) (not (= (tptp.k7_relat_1 BOUND_VARIABLE_186824 _let_2) (tptp.k7_relat_1 BOUND_VARIABLE_186826 _let_1))) (tptp.r6_pboole A BOUND_VARIABLE_186824 BOUND_VARIABLE_186826))))))) (let ((_let_132 (not _let_130))) (let ((_let_133 (TRUST_SUBS_EQ (EQ_RESOLVE (ASSUME :args (_let_107)) (MACRO_SR_EQ_INTRO :args (_let_107 SB_DEFAULT SBA_FIXPOINT))) :args ((= tptp.r1_tarski (lambda ((BOUND_VARIABLE_186862 $$unsorted) (BOUND_VARIABLE_186863 $$unsorted)) (forall ((C $$unsorted)) (or (not (tptp.r2_hidden C BOUND_VARIABLE_186862)) (tptp.r2_hidden C BOUND_VARIABLE_186863))))))))) (let ((_let_134 (TRUST_SUBS_EQ (ASSUME :args (_let_106)) :args ((= tptp.k4_tarski (lambda ((BOUND_VARIABLE_186875 $$unsorted) (BOUND_VARIABLE_186876 $$unsorted)) (tptp.k2_tarski (tptp.k2_tarski BOUND_VARIABLE_186875 BOUND_VARIABLE_186876) (tptp.k1_tarski BOUND_VARIABLE_186875)))))))) (let ((_let_135 (TRUST_SUBS_EQ (EQ_RESOLVE (EQ_RESOLVE (ASSUME :args (_let_105)) (MACRO_SR_EQ_INTRO :args (_let_105 SB_DEFAULT SBA_FIXPOINT))) (MACRO_SR_EQ_INTRO (AND_INTRO _let_134 _let_133) :args ((forall ((A $$unsorted) (B $$unsorted)) (= (tptp.r2_tarski A B) (not (forall ((C $$unsorted)) (or (not (forall ((D $$unsorted)) (or (not (tptp.r2_hidden D A)) (not (forall ((E $$unsorted)) (or (not (tptp.r2_hidden E B)) (not (tptp.r2_hidden (tptp.k4_tarski D E) C)))))))) (not (forall ((D $$unsorted)) (or (not (tptp.r2_hidden D B)) (not (forall ((E $$unsorted)) (or (not (tptp.r2_hidden E A)) (not (tptp.r2_hidden (tptp.k4_tarski E D) C)))))))) (not (forall ((D $$unsorted) (E $$unsorted) (F $$unsorted) (G $$unsorted)) (or (not (tptp.r2_hidden (tptp.k4_tarski D E) C)) (not (tptp.r2_hidden (tptp.k4_tarski F G) C)) (= (= D F) (= E G)))))))))) SB_DEFAULT SBA_FIXPOINT))) :args ((= tptp.r2_tarski (lambda ((BOUND_VARIABLE_186959 $$unsorted) (BOUND_VARIABLE_186960 $$unsorted)) (not (forall ((C $$unsorted)) (or (not (forall ((D $$unsorted)) (or (not (tptp.r2_hidden D BOUND_VARIABLE_186959)) (not (forall ((E $$unsorted)) (or (not (tptp.r2_hidden E BOUND_VARIABLE_186960)) (not (tptp.r2_hidden (tptp.k2_tarski (tptp.k2_tarski D E) (tptp.k1_tarski D)) C)))))))) (not (forall ((D $$unsorted)) (or (not (tptp.r2_hidden D BOUND_VARIABLE_186960)) (not (forall ((E $$unsorted)) (or (not (tptp.r2_hidden E BOUND_VARIABLE_186959)) (not (tptp.r2_hidden (tptp.k2_tarski (tptp.k2_tarski E D) (tptp.k1_tarski E)) C)))))))) (not (forall ((D $$unsorted) (E $$unsorted) (F $$unsorted) (G $$unsorted)) (or (not (tptp.r2_hidden (tptp.k2_tarski (tptp.k2_tarski D E) (tptp.k1_tarski D)) C)) (not (tptp.r2_hidden (tptp.k2_tarski (tptp.k2_tarski F G) (tptp.k1_tarski F)) C)) (= (= D F) (= E G)))))))))))))) (let ((_let_136 (TRUST_SUBS_EQ (EQ_RESOLVE (ASSUME :args (_let_104)) (MACRO_SR_EQ_INTRO :args (_let_104 SB_DEFAULT SBA_FIXPOINT))) :args ((= tptp.v1_xboole_0 (lambda ((BOUND_VARIABLE_187085 $$unsorted)) (= tptp.k1_xboole_0 BOUND_VARIABLE_187085))))))) (let ((_let_137 (TRUST_SUBS_EQ (ASSUME :args (_let_103)) :args ((= tptp.k5_xboole_0 (lambda ((BOUND_VARIABLE_187091 $$unsorted) (BOUND_VARIABLE_187092 $$unsorted)) (tptp.k2_xboole_0 (tptp.k4_xboole_0 BOUND_VARIABLE_187091 BOUND_VARIABLE_187092) (tptp.k4_xboole_0 BOUND_VARIABLE_187092 BOUND_VARIABLE_187091)))))))) (let ((_let_138 (TRUST_SUBS_EQ (EQ_RESOLVE (ASSUME :args (_let_102)) (MACRO_SR_EQ_INTRO :args (_let_102 SB_DEFAULT SBA_FIXPOINT))) :args ((= tptp.r1_xboole_0 (lambda ((BOUND_VARIABLE_187102 $$unsorted) (BOUND_VARIABLE_187103 $$unsorted)) (= tptp.k1_xboole_0 (tptp.k3_xboole_0 BOUND_VARIABLE_187102 BOUND_VARIABLE_187103)))))))) (let ((_let_139 (TRUST_SUBS_EQ (EQ_RESOLVE (ASSUME :args (_let_101)) (MACRO_SR_EQ_INTRO (AND_INTRO _let_138 _let_137 _let_136 _let_135 _let_134 _let_133) :args (_let_101 SB_DEFAULT SBA_FIXPOINT))) :args ((= tptp.r2_xboole_0 (lambda ((BOUND_VARIABLE_187125 $$unsorted) (BOUND_VARIABLE_187126 $$unsorted)) (and (forall ((C $$unsorted)) (or (not (tptp.r2_hidden C BOUND_VARIABLE_187125)) (tptp.r2_hidden C BOUND_VARIABLE_187126))) (not (= BOUND_VARIABLE_187125 BOUND_VARIABLE_187126))))))))) (let ((_let_140 (TRUST_SUBS_EQ (EQ_RESOLVE (ASSUME :args (_let_100)) (MACRO_SR_EQ_INTRO (AND_INTRO _let_139 _let_138 _let_137 _let_136 _let_135 _let_134 _let_133) :args (_let_100 SB_DEFAULT SBA_FIXPOINT))) :args ((= tptp.r3_xboole_0 (lambda ((BOUND_VARIABLE_187157 $$unsorted) (BOUND_VARIABLE_187158 $$unsorted)) (or (forall ((C $$unsorted)) (or (not (tptp.r2_hidden C BOUND_VARIABLE_187157)) (tptp.r2_hidden C BOUND_VARIABLE_187158))) (forall ((C $$unsorted)) (or (not (tptp.r2_hidden C BOUND_VARIABLE_187158)) (tptp.r2_hidden C BOUND_VARIABLE_187157)))))))))) (let ((_let_141 (TRUST_SUBS_EQ (ASSUME :args (_let_99)) :args ((= tptp.k3_xboole_0 (lambda ((BOUND_VARIABLE_188170 $$unsorted) (BOUND_VARIABLE_188171 $$unsorted)) (tptp.k4_xboole_0 BOUND_VARIABLE_188170 (tptp.k4_xboole_0 BOUND_VARIABLE_188170 BOUND_VARIABLE_188171)))))))) (let ((_let_142 (TRUST_SUBS_EQ (ASSUME :args (_let_98)) :args ((= tptp.k3_zfmisc_1 (lambda ((BOUND_VARIABLE_189681 $$unsorted) (BOUND_VARIABLE_189682 $$unsorted) (BOUND_VARIABLE_189683 $$unsorted)) (tptp.k2_zfmisc_1 (tptp.k2_zfmisc_1 BOUND_VARIABLE_189681 BOUND_VARIABLE_189682) BOUND_VARIABLE_189683))))))) (let ((_let_143 (TRUST_SUBS_EQ (EQ_RESOLVE (ASSUME :args (_let_97)) (MACRO_SR_EQ_INTRO (AND_INTRO _let_142 _let_141 _let_140 _let_139 _let_138 _let_137 _let_136 _let_135 _let_134 _let_133) :args (_let_97 SB_DEFAULT SBA_FIXPOINT))) :args ((= tptp.k4_zfmisc_1 (lambda ((BOUND_VARIABLE_189704 $$unsorted) (BOUND_VARIABLE_189705 $$unsorted) (BOUND_VARIABLE_189706 $$unsorted) (BOUND_VARIABLE_189707 $$unsorted)) (tptp.k2_zfmisc_1 (tptp.k2_zfmisc_1 (tptp.k2_zfmisc_1 BOUND_VARIABLE_189704 BOUND_VARIABLE_189705) BOUND_VARIABLE_189706) BOUND_VARIABLE_189707))))))) (let ((_let_144 (TRUST_SUBS_EQ (EQ_RESOLVE (ASSUME :args (_let_96)) (MACRO_SR_EQ_INTRO :args (_let_96 SB_DEFAULT SBA_FIXPOINT))) :args ((= tptp.r2_hidden (lambda ((BOUND_VARIABLE_190163 $$unsorted) (BOUND_VARIABLE_190164 $$unsorted)) (not (= BOUND_VARIABLE_190164 (tptp.k4_xboole_0 BOUND_VARIABLE_190164 (tptp.k1_tarski BOUND_VARIABLE_190163)))))))))) (let ((_let_145 (TRUST_SUBS_EQ (ASSUME :args (_let_95)) :args ((= tptp.k2_xboole_0 (lambda ((BOUND_VARIABLE_190516 $$unsorted) (BOUND_VARIABLE_190517 $$unsorted)) (tptp.k3_tarski (tptp.k2_tarski BOUND_VARIABLE_190516 BOUND_VARIABLE_190517)))))))) (let ((_let_146 (TRUST_SUBS_EQ (EQ_RESOLVE (ASSUME :args (_let_94)) (MACRO_SR_EQ_INTRO :args (_let_94 SB_DEFAULT SBA_FIXPOINT))) :args ((= tptp.k1_subset_1 (lambda ((BOUND_VARIABLE_192404 $$unsorted)) tptp.k1_xboole_0)))))) (let ((_let_147 (TRUST_SUBS_EQ (EQ_RESOLVE (ASSUME :args (_let_93)) (MACRO_SR_EQ_INTRO :args (_let_93 SB_DEFAULT SBA_FIXPOINT))) :args ((= tptp.k2_subset_1 (lambda ((BOUND_VARIABLE_192409 $$unsorted)) BOUND_VARIABLE_192409)))))) (let ((_let_148 (TRUST_SUBS_EQ (EQ_RESOLVE (EQ_RESOLVE (ASSUME :args (_let_92)) (MACRO_SR_EQ_INTRO :args (_let_92 SB_DEFAULT SBA_FIXPOINT))) (MACRO_SR_EQ_INTRO (AND_INTRO _let_147 _let_146 _let_145 _let_144 _let_143 _let_142 _let_141 _let_140 _let_139 _let_138 _let_137 _let_136 _let_135 _let_134 _let_133) :args ((forall ((A $$unsorted) (B $$unsorted)) (= (tptp.r1_setfam_1 A B) (forall ((C $$unsorted)) (or (not (tptp.r2_hidden C A)) (not (forall ((D $$unsorted)) (or (not (tptp.r2_hidden D B)) (not (tptp.r1_tarski C D))))))))) SB_DEFAULT SBA_FIXPOINT))) :args ((= tptp.r1_setfam_1 (lambda ((BOUND_VARIABLE_193921 $$unsorted) (BOUND_VARIABLE_193922 $$unsorted)) (forall ((C $$unsorted)) (or (= BOUND_VARIABLE_193921 (tptp.k4_xboole_0 BOUND_VARIABLE_193921 (tptp.k1_tarski C))) (not (forall ((D $$unsorted)) (or (= BOUND_VARIABLE_193922 (tptp.k4_xboole_0 BOUND_VARIABLE_193922 (tptp.k1_tarski D))) (not (forall ((C $$unsorted)) (let ((_let_1 (tptp.k1_tarski C))) (or (= C (tptp.k4_xboole_0 C _let_1)) (not (= D (tptp.k4_xboole_0 D _let_1)))))))))))))))))) (let ((_let_149 (TRUST_SUBS_EQ (EQ_RESOLVE (EQ_RESOLVE (ASSUME :args (_let_91)) (MACRO_SR_EQ_INTRO :args (_let_91 SB_DEFAULT SBA_FIXPOINT))) (MACRO_SR_EQ_INTRO (AND_INTRO _let_148 _let_147 _let_146 _let_145 _let_144 _let_143 _let_142 _let_141 _let_140 _let_139 _let_138 _let_137 _let_136 _let_135 _let_134 _let_133) :args ((forall ((A $$unsorted) (B $$unsorted)) (= (tptp.r2_setfam_1 A B) (forall ((C $$unsorted)) (or (not (tptp.r2_hidden C B)) (not (forall ((D $$unsorted)) (or (not (tptp.r2_hidden D A)) (not (tptp.r1_tarski D C))))))))) SB_DEFAULT SBA_FIXPOINT))) :args ((= tptp.r2_setfam_1 (lambda ((BOUND_VARIABLE_193984 $$unsorted) (BOUND_VARIABLE_193985 $$unsorted)) (forall ((C $$unsorted)) (or (= BOUND_VARIABLE_193985 (tptp.k4_xboole_0 BOUND_VARIABLE_193985 (tptp.k1_tarski C))) (not (forall ((D $$unsorted)) (or (= BOUND_VARIABLE_193984 (tptp.k4_xboole_0 BOUND_VARIABLE_193984 (tptp.k1_tarski D))) (not (forall ((C $$unsorted)) (let ((_let_1 (tptp.k1_tarski C))) (or (= D (tptp.k4_xboole_0 D _let_1)) (not (= C (tptp.k4_xboole_0 C _let_1)))))))))))))))))) (let ((_let_150 (TRUST_SUBS_EQ (EQ_RESOLVE (ASSUME :args (_let_90)) (MACRO_SR_EQ_INTRO (AND_INTRO _let_149 _let_148 _let_147 _let_146 _let_145 _let_144 _let_143 _let_142 _let_141 _let_140 _let_139 _let_138 _let_137 _let_136 _let_135 _let_134 _let_133) :args (_let_90 SB_DEFAULT SBA_FIXPOINT))) :args ((= tptp.v1_setfam_1 (lambda ((BOUND_VARIABLE_194804 $$unsorted)) (= BOUND_VARIABLE_194804 (tptp.k4_xboole_0 BOUND_VARIABLE_194804 (tptp.k1_tarski tptp.k1_xboole_0))))))))) (let ((_let_151 (TRUST_SUBS_EQ (EQ_RESOLVE (EQ_RESOLVE (ASSUME :args (_let_89)) (MACRO_SR_EQ_INTRO :args (_let_89 SB_DEFAULT SBA_FIXPOINT))) (MACRO_SR_EQ_INTRO (AND_INTRO _let_150 _let_149 _let_148 _let_147 _let_146 _let_145 _let_144 _let_143 _let_142 _let_141 _let_140 _let_139 _let_138 _let_137 _let_136 _let_135 _let_134 _let_133) :args ((forall ((A $$unsorted)) (= (tptp.v2_setfam_1 A) (forall ((B $$unsorted)) (or (tptp.v1_xboole_0 B) (not (tptp.r2_hidden B A)))))) SB_DEFAULT SBA_FIXPOINT))) :args ((= tptp.v2_setfam_1 (lambda ((BOUND_VARIABLE_195038 $$unsorted)) (forall ((B $$unsorted)) (or (= tptp.k1_xboole_0 B) (= BOUND_VARIABLE_195038 (tptp.k4_xboole_0 BOUND_VARIABLE_195038 (tptp.k1_tarski B))))))))))) (let ((_let_152 (TRUST_SUBS_EQ (EQ_RESOLVE (EQ_RESOLVE (ASSUME :args (_let_88)) (MACRO_SR_EQ_INTRO :args (_let_88 SB_DEFAULT SBA_FIXPOINT))) (MACRO_SR_EQ_INTRO (AND_INTRO _let_151 _let_150 _let_149 _let_148 _let_147 _let_146 _let_145 _let_144 _let_143 _let_142 _let_141 _let_140 _let_139 _let_138 _let_137 _let_136 _let_135 _let_134 _let_133) :args ((forall ((A $$unsorted)) (= (tptp.v1_relat_1 A) (forall ((B $$unsorted)) (or (not (tptp.r2_hidden B A)) (not (forall ((C $$unsorted) (D $$unsorted)) (not (= B (tptp.k4_tarski C D))))))))) SB_DEFAULT SBA_FIXPOINT))) :args ((= tptp.v1_relat_1 (lambda ((BOUND_VARIABLE_195335 $$unsorted)) (forall ((B $$unsorted)) (or (= BOUND_VARIABLE_195335 (tptp.k4_xboole_0 BOUND_VARIABLE_195335 (tptp.k1_tarski B))) (not (forall ((C $$unsorted) (D $$unsorted)) (not (= B (tptp.k2_tarski (tptp.k2_tarski C D) (tptp.k1_tarski C)))))))))))))) (let ((_let_153 (TRUST_SUBS_EQ (EQ_RESOLVE (EQ_RESOLVE (ASSUME :args (_let_87)) (MACRO_SR_EQ_INTRO :args (_let_87 SB_DEFAULT SBA_FIXPOINT))) (MACRO_SR_EQ_INTRO (AND_INTRO _let_152 _let_151 _let_150 _let_149 _let_148 _let_147 _let_146 _let_145 _let_144 _let_143 _let_142 _let_141 _let_140 _let_139 _let_138 _let_137 _let_136 _let_135 _let_134 _let_133) :args ((forall ((A $$unsorted)) (= (tptp.v1_funct_1 A) (forall ((B $$unsorted) (C $$unsorted) (D $$unsorted)) (or (not (tptp.r2_hidden (tptp.k4_tarski B C) A)) (not (tptp.r2_hidden (tptp.k4_tarski B D) A)) (= C D))))) SB_DEFAULT SBA_FIXPOINT))) :args ((= tptp.v1_funct_1 (lambda ((BOUND_VARIABLE_201655 $$unsorted)) (forall ((B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k1_tarski B))) (or (= BOUND_VARIABLE_201655 (tptp.k4_xboole_0 BOUND_VARIABLE_201655 (tptp.k1_tarski (tptp.k2_tarski (tptp.k2_tarski B C) _let_1)))) (= BOUND_VARIABLE_201655 (tptp.k4_xboole_0 BOUND_VARIABLE_201655 (tptp.k1_tarski (tptp.k2_tarski (tptp.k2_tarski B D) _let_1)))) (= C D)))))))))) (let ((_let_154 (TRUST_SUBS_EQ (EQ_RESOLVE (ASSUME :args (_let_86)) (MACRO_SR_EQ_INTRO (AND_INTRO _let_153 _let_152 _let_151 _let_150 _let_149 _let_148 _let_147 _let_146 _let_145 _let_144 _let_143 _let_142 _let_141 _let_140 _let_139 _let_138 _let_137 _let_136 _let_135 _let_134 _let_133) :args (_let_86 SB_DEFAULT SBA_FIXPOINT))) :args ((= tptp.k1_ordinal1 (lambda ((BOUND_VARIABLE_206114 $$unsorted)) (tptp.k3_tarski (tptp.k2_tarski BOUND_VARIABLE_206114 (tptp.k1_tarski BOUND_VARIABLE_206114))))))))) (let ((_let_155 (TRUST_SUBS_EQ (EQ_RESOLVE (EQ_RESOLVE (ASSUME :args (_let_85)) (MACRO_SR_EQ_INTRO :args (_let_85 SB_DEFAULT SBA_FIXPOINT))) (MACRO_SR_EQ_INTRO (AND_INTRO _let_154 _let_153 _let_152 _let_151 _let_150 _let_149 _let_148 _let_147 _let_146 _let_145 _let_144 _let_143 _let_142 _let_141 _let_140 _let_139 _let_138 _let_137 _let_136 _let_135 _let_134 _let_133) :args ((forall ((A $$unsorted)) (= (tptp.v1_ordinal1 A) (forall ((B $$unsorted)) (or (not (tptp.r2_hidden B A)) (tptp.r1_tarski B A))))) SB_DEFAULT SBA_FIXPOINT))) :args ((= tptp.v1_ordinal1 (lambda ((BOUND_VARIABLE_206229 $$unsorted)) (forall ((B $$unsorted) (BOUND_VARIABLE_206213 $$unsorted)) (let ((_let_1 (tptp.k1_tarski BOUND_VARIABLE_206213))) (or (= BOUND_VARIABLE_206229 (tptp.k4_xboole_0 BOUND_VARIABLE_206229 (tptp.k1_tarski B))) (= B (tptp.k4_xboole_0 B _let_1)) (not (= BOUND_VARIABLE_206229 (tptp.k4_xboole_0 BOUND_VARIABLE_206229 _let_1)))))))))))) (let ((_let_156 (TRUST_SUBS_EQ (EQ_RESOLVE (EQ_RESOLVE (ASSUME :args (_let_84)) (MACRO_SR_EQ_INTRO :args (_let_84 SB_DEFAULT SBA_FIXPOINT))) (MACRO_SR_EQ_INTRO (AND_INTRO _let_155 _let_154 _let_153 _let_152 _let_151 _let_150 _let_149 _let_148 _let_147 _let_146 _let_145 _let_144 _let_143 _let_142 _let_141 _let_140 _let_139 _let_138 _let_137 _let_136 _let_135 _let_134 _let_133) :args ((forall ((A $$unsorted)) (= (tptp.v2_ordinal1 A) (forall ((B $$unsorted) (C $$unsorted)) (or (not (tptp.r2_hidden B A)) (not (tptp.r2_hidden C A)) (tptp.r2_hidden B C) (= B C) (tptp.r2_hidden C B))))) SB_DEFAULT SBA_FIXPOINT))) :args ((= tptp.v2_ordinal1 (lambda ((BOUND_VARIABLE_206272 $$unsorted)) (forall ((B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k1_tarski C))) (let ((_let_2 (tptp.k1_tarski B))) (or (= BOUND_VARIABLE_206272 (tptp.k4_xboole_0 BOUND_VARIABLE_206272 _let_2)) (= BOUND_VARIABLE_206272 (tptp.k4_xboole_0 BOUND_VARIABLE_206272 _let_1)) (not (= C (tptp.k4_xboole_0 C _let_2))) (= B C) (not (= B (tptp.k4_xboole_0 B _let_1))))))))))))) (let ((_let_157 (TRUST_SUBS_EQ (EQ_RESOLVE (ASSUME :args (_let_83)) (MACRO_SR_EQ_INTRO (AND_INTRO _let_156 _let_155 _let_154 _let_153 _let_152 _let_151 _let_150 _let_149 _let_148 _let_147 _let_146 _let_145 _let_144 _let_143 _let_142 _let_141 _let_140 _let_139 _let_138 _let_137 _let_136 _let_135 _let_134 _let_133) :args (_let_83 SB_DEFAULT SBA_FIXPOINT))) :args ((= tptp.v3_ordinal1 (lambda ((BOUND_VARIABLE_206305 $$unsorted)) (and (forall ((B $$unsorted) (BOUND_VARIABLE_206213 $$unsorted)) (let ((_let_1 (tptp.k1_tarski BOUND_VARIABLE_206213))) (or (= BOUND_VARIABLE_206305 (tptp.k4_xboole_0 BOUND_VARIABLE_206305 (tptp.k1_tarski B))) (= B (tptp.k4_xboole_0 B _let_1)) (not (= BOUND_VARIABLE_206305 (tptp.k4_xboole_0 BOUND_VARIABLE_206305 _let_1)))))) (forall ((B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k1_tarski C))) (let ((_let_2 (tptp.k1_tarski B))) (or (= BOUND_VARIABLE_206305 (tptp.k4_xboole_0 BOUND_VARIABLE_206305 _let_2)) (= BOUND_VARIABLE_206305 (tptp.k4_xboole_0 BOUND_VARIABLE_206305 _let_1)) (not (= C (tptp.k4_xboole_0 C _let_2))) (= B C) (not (= B (tptp.k4_xboole_0 B _let_1)))))))))))))) (let ((_let_158 (TRUST_SUBS_EQ (ASSUME :args (_let_81)) :args ((= tptp.v4_ordinal1 (lambda ((BOUND_VARIABLE_207756 $$unsorted)) (= BOUND_VARIABLE_207756 (tptp.k3_tarski BOUND_VARIABLE_207756)))))))) (let ((_let_159 (TRUST_SUBS_EQ (EQ_RESOLVE (EQ_RESOLVE (ASSUME :args (_let_80)) (MACRO_SR_EQ_INTRO :args (_let_80 SB_DEFAULT SBA_FIXPOINT))) (MACRO_SR_EQ_INTRO (AND_INTRO _let_158 _let_157 _let_156 _let_155 _let_154 _let_153 _let_152 _let_151 _let_150 _let_149 _let_148 _let_147 _let_146 _let_145 _let_144 _let_143 _let_142 _let_141 _let_140 _let_139 _let_138 _let_137 _let_136 _let_135 _let_134 _let_133) :args ((forall ((A $$unsorted)) (= (tptp.v6_ordinal1 A) (forall ((B $$unsorted) (C $$unsorted)) (or (not (tptp.r2_hidden B A)) (not (tptp.r2_hidden C A)) (tptp.r3_xboole_0 B C))))) SB_DEFAULT SBA_FIXPOINT))) :args ((= tptp.v6_ordinal1 (lambda ((BOUND_VARIABLE_208180 $$unsorted)) (forall ((B $$unsorted) (C $$unsorted) (BOUND_VARIABLE_208164 $$unsorted) (BOUND_VARIABLE_208155 $$unsorted)) (let ((_let_1 (tptp.k1_tarski BOUND_VARIABLE_208164))) (let ((_let_2 (tptp.k1_tarski BOUND_VARIABLE_208155))) (or (= BOUND_VARIABLE_208180 (tptp.k4_xboole_0 BOUND_VARIABLE_208180 (tptp.k1_tarski B))) (= BOUND_VARIABLE_208180 (tptp.k4_xboole_0 BOUND_VARIABLE_208180 (tptp.k1_tarski C))) (= B (tptp.k4_xboole_0 B _let_2)) (not (= C (tptp.k4_xboole_0 C _let_2))) (= C (tptp.k4_xboole_0 C _let_1)) (not (= B (tptp.k4_xboole_0 B _let_1))))))))))))) (let ((_let_160 (TRUST_SUBS_EQ (EQ_RESOLVE (ASSUME :args (_let_79)) (MACRO_SR_EQ_INTRO (AND_INTRO _let_159 _let_158 _let_157 _let_156 _let_155 _let_154 _let_153 _let_152 _let_151 _let_150 _let_149 _let_148 _let_147 _let_146 _let_145 _let_144 _let_143 _let_142 _let_141 _let_140 _let_139 _let_138 _let_137 _let_136 _let_135 _let_134 _let_133) :args (_let_79 SB_DEFAULT SBA_FIXPOINT))) :args ((= tptp.m1_relset_1 (lambda ((BOUND_VARIABLE_208734 $$unsorted) (BOUND_VARIABLE_208735 $$unsorted) (BOUND_VARIABLE_208736 $$unsorted)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k1_tarski C))) (let ((_let_2 (tptp.k2_zfmisc_1 BOUND_VARIABLE_208735 BOUND_VARIABLE_208736))) (or (= BOUND_VARIABLE_208734 (tptp.k4_xboole_0 BOUND_VARIABLE_208734 _let_1)) (not (= _let_2 (tptp.k4_xboole_0 _let_2 _let_1))))))))))))) (let ((_let_161 (TRUST_SUBS_EQ (EQ_RESOLVE (ASSUME :args (_let_78)) (MACRO_SR_EQ_INTRO (AND_INTRO _let_160 _let_159 _let_158 _let_157 _let_156 _let_155 _let_154 _let_153 _let_152 _let_151 _let_150 _let_149 _let_148 _let_147 _let_146 _let_145 _let_144 _let_143 _let_142 _let_141 _let_140 _let_139 _let_138 _let_137 _let_136 _let_135 _let_134 _let_133) :args (_let_78 SB_DEFAULT SBA_FIXPOINT))) :args ((= tptp.m2_relset_1 (lambda ((BOUND_VARIABLE_209780 $$unsorted) (BOUND_VARIABLE_209781 $$unsorted) (BOUND_VARIABLE_209782 $$unsorted)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k1_tarski C))) (let ((_let_2 (tptp.k2_zfmisc_1 BOUND_VARIABLE_209781 BOUND_VARIABLE_209782))) (or (= BOUND_VARIABLE_209780 (tptp.k4_xboole_0 BOUND_VARIABLE_209780 _let_1)) (not (= _let_2 (tptp.k4_xboole_0 _let_2 _let_1))))))))))))) (let ((_let_162 (TRUST_SUBS_EQ (ASSUME :args (_let_76)) :args ((= tptp.k6_partfun1 (lambda ((BOUND_VARIABLE_216332 $$unsorted)) (tptp.k6_relat_1 BOUND_VARIABLE_216332))))))) (let ((_let_163 (TRUST_SUBS_EQ (ASSUME :args (_let_75)) :args ((= tptp.k1_funct_2 (lambda ((BOUND_VARIABLE_221368 $$unsorted) (BOUND_VARIABLE_221369 $$unsorted)) (tptp.k5_partfun1 BOUND_VARIABLE_221368 BOUND_VARIABLE_221369 (tptp.k3_partfun1 tptp.k1_xboole_0 BOUND_VARIABLE_221368 BOUND_VARIABLE_221369)))))))) (let ((_let_164 (TRUST_SUBS_EQ (EQ_RESOLVE (ASSUME :args (_let_74)) (MACRO_SR_EQ_INTRO (AND_INTRO _let_163 _let_162 _let_161 _let_160 _let_159 _let_158 _let_157 _let_156 _let_155 _let_154 _let_153 _let_152 _let_151 _let_150 _let_149 _let_148 _let_147 _let_146 _let_145 _let_144 _let_143 _let_142 _let_141 _let_140 _let_139 _let_138 _let_137 _let_136 _let_135 _let_134 _let_133) :args (_let_74 SB_DEFAULT SBA_FIXPOINT))) :args ((= tptp.k12_funct_3 (lambda ((BOUND_VARIABLE_223302 $$unsorted)) (let ((_let_1 (tptp.k6_relat_1 BOUND_VARIABLE_223302))) (tptp.k13_funct_3 _let_1 _let_1)))))))) (let ((_let_165 (TRUST_SUBS_EQ (ASSUME :args (_let_73)) :args ((= tptp.k2_funcop_1 (lambda ((BOUND_VARIABLE_223626 $$unsorted) (BOUND_VARIABLE_223627 $$unsorted)) (tptp.k2_zfmisc_1 BOUND_VARIABLE_223626 (tptp.k1_tarski BOUND_VARIABLE_223627)))))))) (let ((_let_166 (TRUST_SUBS_EQ (EQ_RESOLVE (ASSUME :args (_let_72)) (MACRO_SR_EQ_INTRO (AND_INTRO _let_165 _let_164 _let_163 _let_162 _let_161 _let_160 _let_159 _let_158 _let_157 _let_156 _let_155 _let_154 _let_153 _let_152 _let_151 _let_150 _let_149 _let_148 _let_147 _let_146 _let_145 _let_144 _let_143 _let_142 _let_141 _let_140 _let_139 _let_138 _let_137 _let_136 _let_135 _let_134 _let_133) :args (_let_72 SB_DEFAULT SBA_FIXPOINT))) :args ((= tptp.k4_funct_4 (lambda ((BOUND_VARIABLE_231879 $$unsorted) (BOUND_VARIABLE_231880 $$unsorted) (BOUND_VARIABLE_231881 $$unsorted) (BOUND_VARIABLE_231882 $$unsorted)) (tptp.k1_funct_4 (tptp.k2_zfmisc_1 (tptp.k1_tarski BOUND_VARIABLE_231879) (tptp.k1_tarski BOUND_VARIABLE_231881)) (tptp.k2_zfmisc_1 (tptp.k1_tarski BOUND_VARIABLE_231880) (tptp.k1_tarski BOUND_VARIABLE_231882))))))))) (let ((_let_167 (EQ_RESOLVE (ASSUME :args (_let_71)) (MACRO_SR_EQ_INTRO (AND_INTRO _let_166 _let_165 _let_164 _let_163 _let_162 _let_161 _let_160 _let_159 _let_158 _let_157 _let_156 _let_155 _let_154 _let_153 _let_152 _let_151 _let_150 _let_149 _let_148 _let_147 _let_146 _let_145 _let_144 _let_143 _let_142 _let_141 _let_140 _let_139 _let_138 _let_137 _let_136 _let_135 _let_134 _let_133) :args (_let_71 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_168 (TRUST_SUBS_EQ (ASSUME :args (_let_70)) :args ((= tptp.k6_ordinal2 (lambda ((BOUND_VARIABLE_234150 $$unsorted)) (tptp.k1_setfam_1 (tptp.k2_ordinal2 BOUND_VARIABLE_234150)))))))) (let ((_let_169 (TRUST_SUBS_EQ (EQ_RESOLVE (ASSUME :args (_let_69)) (MACRO_SR_EQ_INTRO (AND_INTRO _let_168 _let_167 _let_166 _let_165 _let_164 _let_163 _let_162 _let_161 _let_160 _let_159 _let_158 _let_157 _let_156 _let_155 _let_154 _let_153 _let_152 _let_151 _let_150 _let_149 _let_148 _let_147 _let_146 _let_145 _let_144 _let_143 _let_142 _let_141 _let_140 _let_139 _let_138 _let_137 _let_136 _let_135 _let_134 _let_133) :args (_let_69 SB_DEFAULT SBA_FIXPOINT))) :args ((= tptp.v4_ordinal2 (lambda ((BOUND_VARIABLE_237464 $$unsorted)) (not (= tptp.k5_ordinal2 (tptp.k4_xboole_0 tptp.k5_ordinal2 (tptp.k1_tarski BOUND_VARIABLE_237464)))))))))) (let ((_let_170 (TRUST_SUBS_EQ (EQ_RESOLVE (EQ_RESOLVE (ASSUME :args (_let_67)) (MACRO_SR_EQ_INTRO :args (_let_67 SB_DEFAULT SBA_FIXPOINT))) (MACRO_SR_EQ_INTRO (AND_INTRO _let_169 _let_168 _let_167 _let_166 _let_165 _let_164 _let_163 _let_162 _let_161 _let_160 _let_159 _let_158 _let_157 _let_156 _let_155 _let_154 _let_153 _let_152 _let_151 _let_150 _let_149 _let_148 _let_147 _let_146 _let_145 _let_144 _let_143 _let_142 _let_141 _let_140 _let_139 _let_138 _let_137 _let_136 _let_135 _let_134 _let_133) :args ((forall ((A $$unsorted)) (= (tptp.v1_finset_1 A) (not (forall ((B $$unsorted)) (or (not (tptp.v1_relat_1 B)) (not (tptp.v1_funct_1 B)) (not (= A (tptp.k2_relat_1 B))) (not (tptp.r2_hidden (tptp.k1_relat_1 B) tptp.k5_ordinal2))))))) SB_DEFAULT SBA_FIXPOINT))) :args ((= tptp.v1_finset_1 (lambda ((BOUND_VARIABLE_239182 $$unsorted)) (not (forall ((B $$unsorted)) (or (not (forall ((B $$unsorted)) (or (= B (tptp.k4_xboole_0 B (tptp.k1_tarski B))) (not (forall ((C $$unsorted) (D $$unsorted)) (not (= B (tptp.k2_tarski (tptp.k2_tarski C D) (tptp.k1_tarski C))))))))) (not (forall ((B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k1_tarski B))) (or (= B (tptp.k4_xboole_0 B (tptp.k1_tarski (tptp.k2_tarski (tptp.k2_tarski B C) _let_1)))) (= B (tptp.k4_xboole_0 B (tptp.k1_tarski (tptp.k2_tarski (tptp.k2_tarski B D) _let_1)))) (= C D))))) (not (= BOUND_VARIABLE_239182 (tptp.k2_relat_1 B))) (= tptp.k5_ordinal2 (tptp.k4_xboole_0 tptp.k5_ordinal2 (tptp.k1_tarski (tptp.k1_relat_1 B))))))))))))) (let ((_let_171 (TRUST_SUBS_EQ (EQ_RESOLVE (EQ_RESOLVE (ASSUME :args (_let_66)) (MACRO_SR_EQ_INTRO :args (_let_66 SB_DEFAULT SBA_FIXPOINT))) (MACRO_SR_EQ_INTRO (AND_INTRO _let_170 _let_169 _let_168 _let_167 _let_166 _let_165 _let_164 _let_163 _let_162 _let_161 _let_160 _let_159 _let_158 _let_157 _let_156 _let_155 _let_154 _let_153 _let_152 _let_151 _let_150 _let_149 _let_148 _let_147 _let_146 _let_145 _let_144 _let_143 _let_142 _let_141 _let_140 _let_139 _let_138 _let_137 _let_136 _let_135 _let_134 _let_133) :args ((forall ((A $$unsorted)) (= (tptp.v1_fraenkel A) (forall ((B $$unsorted)) (or (not (tptp.r2_hidden B A)) (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)))))) SB_DEFAULT SBA_FIXPOINT))) :args ((= tptp.v1_fraenkel (lambda ((BOUND_VARIABLE_241535 $$unsorted)) (forall ((B $$unsorted) (BOUND_VARIABLE_241506 $$unsorted) (BOUND_VARIABLE_241504 $$unsorted) (BOUND_VARIABLE_241502 $$unsorted) (BOUND_VARIABLE_241492 $$unsorted)) (let ((_let_1 (tptp.k1_tarski BOUND_VARIABLE_241502))) (or (= BOUND_VARIABLE_241535 (tptp.k4_xboole_0 BOUND_VARIABLE_241535 (tptp.k1_tarski B))) (and (or (= B (tptp.k4_xboole_0 B (tptp.k1_tarski BOUND_VARIABLE_241492))) (not (forall ((C $$unsorted) (D $$unsorted)) (not (= (tptp.k2_tarski (tptp.k2_tarski C D) (tptp.k1_tarski C)) BOUND_VARIABLE_241492))))) (or (= B (tptp.k4_xboole_0 B (tptp.k1_tarski (tptp.k2_tarski (tptp.k2_tarski BOUND_VARIABLE_241502 BOUND_VARIABLE_241504) _let_1)))) (= B (tptp.k4_xboole_0 B (tptp.k1_tarski (tptp.k2_tarski (tptp.k2_tarski BOUND_VARIABLE_241502 BOUND_VARIABLE_241506) _let_1)))) (= BOUND_VARIABLE_241504 BOUND_VARIABLE_241506)))))))))))) (let ((_let_172 (SYMM (ASSUME :args (_let_65))))) (let ((_let_173 (SYMM (ASSUME :args (_let_64))))) (let ((_let_174 (SYMM (ASSUME :args (_let_63))))) (let ((_let_175 (EQ_RESOLVE (ASSUME :args (_let_62)) (MACRO_SR_EQ_INTRO (AND_INTRO _let_174 _let_173 _let_172 _let_171 _let_170 _let_169 _let_168 _let_167 _let_166 _let_165 _let_164 _let_163 _let_162 _let_161 _let_160 _let_159 _let_158 _let_157 _let_156 _let_155 _let_154 _let_153 _let_152 _let_151 _let_150 _let_149 _let_148 _let_147 _let_146 _let_145 _let_144 _let_143 _let_142 _let_141 _let_140 _let_139 _let_138 _let_137 _let_136 _let_135 _let_134 _let_133) :args (_let_62 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_176 (SYMM (ASSUME :args (_let_61))))) (let ((_let_177 (EQ_RESOLVE (ASSUME :args (_let_60)) (MACRO_SR_EQ_INTRO (AND_INTRO _let_176 _let_175 _let_174 _let_173 _let_172 _let_171 _let_170 _let_169 _let_168 _let_167 _let_166 _let_165 _let_164 _let_163 _let_162 _let_161 _let_160 _let_159 _let_158 _let_157 _let_156 _let_155 _let_154 _let_153 _let_152 _let_151 _let_150 _let_149 _let_148 _let_147 _let_146 _let_145 _let_144 _let_143 _let_142 _let_141 _let_140 _let_139 _let_138 _let_137 _let_136 _let_135 _let_134 _let_133) :args (_let_60 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_178 (EQ_RESOLVE (ASSUME :args (_let_59)) (MACRO_SR_EQ_INTRO (AND_INTRO _let_177 _let_176 _let_175 _let_174 _let_173 _let_172 _let_171 _let_170 _let_169 _let_168 _let_167 _let_166 _let_165 _let_164 _let_163 _let_162 _let_161 _let_160 _let_159 _let_158 _let_157 _let_156 _let_155 _let_154 _let_153 _let_152 _let_151 _let_150 _let_149 _let_148 _let_147 _let_146 _let_145 _let_144 _let_143 _let_142 _let_141 _let_140 _let_139 _let_138 _let_137 _let_136 _let_135 _let_134 _let_133) :args (_let_59 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_179 (EQ_RESOLVE (ASSUME :args (_let_58)) (MACRO_SR_EQ_INTRO (AND_INTRO _let_178 _let_177 _let_176 _let_175 _let_174 _let_173 _let_172 _let_171 _let_170 _let_169 _let_168 _let_167 _let_166 _let_165 _let_164 _let_163 _let_162 _let_161 _let_160 _let_159 _let_158 _let_157 _let_156 _let_155 _let_154 _let_153 _let_152 _let_151 _let_150 _let_149 _let_148 _let_147 _let_146 _let_145 _let_144 _let_143 _let_142 _let_141 _let_140 _let_139 _let_138 _let_137 _let_136 _let_135 _let_134 _let_133) :args (_let_58 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_180 (SYMM (ASSUME :args (_let_55))))) (let ((_let_181 (EQ_RESOLVE (ASSUME :args (_let_54)) (MACRO_SR_EQ_INTRO (AND_INTRO _let_180 _let_179 _let_178 _let_177 _let_176 _let_175 _let_174 _let_173 _let_172 _let_171 _let_170 _let_169 _let_168 _let_167 _let_166 _let_165 _let_164 _let_163 _let_162 _let_161 _let_160 _let_159 _let_158 _let_157 _let_156 _let_155 _let_154 _let_153 _let_152 _let_151 _let_150 _let_149 _let_148 _let_147 _let_146 _let_145 _let_144 _let_143 _let_142 _let_141 _let_140 _let_139 _let_138 _let_137 _let_136 _let_135 _let_134 _let_133) :args (_let_54 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_182 (TRUST_SUBS_EQ (EQ_RESOLVE (ASSUME :args (_let_53)) (MACRO_SR_EQ_INTRO (AND_INTRO _let_181 _let_180 _let_179 _let_178 _let_177 _let_176 _let_175 _let_174 _let_173 _let_172 _let_171 _let_170 _let_169 _let_168 _let_167 _let_166 _let_165 _let_164 _let_163 _let_162 _let_161 _let_160 _let_159 _let_158 _let_157 _let_156 _let_155 _let_154 _let_153 _let_152 _let_151 _let_150 _let_149 _let_148 _let_147 _let_146 _let_145 _let_144 _let_143 _let_142 _let_141 _let_140 _let_139 _let_138 _let_137 _let_136 _let_135 _let_134 _let_133) :args (_let_53 SB_DEFAULT SBA_FIXPOINT))) :args ((= tptp.v1_xreal_0 (lambda ((BOUND_VARIABLE_243279 $$unsorted)) (let ((_let_1 (tptp.k1_tarski tptp.np__0))) (let ((_let_2 (tptp.k4_xboole_0 (tptp.k3_tarski (tptp.k2_tarski tptp.k2_arytm_2 (tptp.k2_zfmisc_1 _let_1 tptp.k2_arytm_2))) (tptp.k1_tarski (tptp.k2_tarski (tptp.k2_tarski tptp.np__0 tptp.np__0) _let_1))))) (not (= _let_2 (tptp.k4_xboole_0 _let_2 (tptp.k1_tarski BOUND_VARIABLE_243279)))))))))))) (let ((_let_183 (TRUST_SUBS_EQ (EQ_RESOLVE (ASSUME :args (_let_52)) (MACRO_SR_EQ_INTRO (AND_INTRO _let_182 _let_181 _let_180 _let_179 _let_178 _let_177 _let_176 _let_175 _let_174 _let_173 _let_172 _let_171 _let_170 _let_169 _let_168 _let_167 _let_166 _let_165 _let_164 _let_163 _let_162 _let_161 _let_160 _let_159 _let_158 _let_157 _let_156 _let_155 _let_154 _let_153 _let_152 _let_151 _let_150 _let_149 _let_148 _let_147 _let_146 _let_145 _let_144 _let_143 _let_142 _let_141 _let_140 _let_139 _let_138 _let_137 _let_136 _let_135 _let_134 _let_133) :args (_let_52 SB_DEFAULT SBA_FIXPOINT))) :args ((= tptp.v1_int_1 (lambda ((BOUND_VARIABLE_243678 $$unsorted)) (let ((_let_1 (tptp.k1_tarski tptp.np__0))) (let ((_let_2 (tptp.k4_xboole_0 (tptp.k3_tarski (tptp.k2_tarski tptp.k5_numbers (tptp.k2_zfmisc_1 _let_1 tptp.k5_numbers))) (tptp.k1_tarski (tptp.k2_tarski (tptp.k2_tarski tptp.np__0 tptp.np__0) _let_1))))) (not (= _let_2 (tptp.k4_xboole_0 _let_2 (tptp.k1_tarski BOUND_VARIABLE_243678)))))))))))) (let ((_let_184 (TRUST_SUBS_EQ (EQ_RESOLVE (EQ_RESOLVE (ASSUME :args (_let_47)) (MACRO_SR_EQ_INTRO :args (_let_47 SB_DEFAULT SBA_FIXPOINT))) (MACRO_SR_EQ_INTRO (AND_INTRO _let_183 _let_182 _let_181 _let_180 _let_179 _let_178 _let_177 _let_176 _let_175 _let_174 _let_173 _let_172 _let_171 _let_170 _let_169 _let_168 _let_167 _let_166 _let_165 _let_164 _let_163 _let_162 _let_161 _let_160 _let_159 _let_158 _let_157 _let_156 _let_155 _let_154 _let_153 _let_152 _let_151 _let_150 _let_149 _let_148 _let_147 _let_146 _let_145 _let_144 _let_143 _let_142 _let_141 _let_140 _let_139 _let_138 _let_137 _let_136 _let_135 _let_134 _let_133) :args ((forall ((A $$unsorted)) (= (tptp.v1_membered A) (forall ((B $$unsorted)) (or (not (tptp.r2_hidden B A)) (tptp.v1_xcmplx_0 B))))) SB_DEFAULT SBA_FIXPOINT))) :args ((= tptp.v1_membered (lambda ((BOUND_VARIABLE_245716 $$unsorted)) (forall ((B $$unsorted)) (or (= BOUND_VARIABLE_245716 (tptp.k4_xboole_0 BOUND_VARIABLE_245716 (tptp.k1_tarski B))) (tptp.v1_xcmplx_0 B))))))))) (let ((_let_185 (TRUST_SUBS_EQ (EQ_RESOLVE (EQ_RESOLVE (ASSUME :args (_let_46)) (MACRO_SR_EQ_INTRO :args (_let_46 SB_DEFAULT SBA_FIXPOINT))) (MACRO_SR_EQ_INTRO (AND_INTRO _let_184 _let_183 _let_182 _let_181 _let_180 _let_179 _let_178 _let_177 _let_176 _let_175 _let_174 _let_173 _let_172 _let_171 _let_170 _let_169 _let_168 _let_167 _let_166 _let_165 _let_164 _let_163 _let_162 _let_161 _let_160 _let_159 _let_158 _let_157 _let_156 _let_155 _let_154 _let_153 _let_152 _let_151 _let_150 _let_149 _let_148 _let_147 _let_146 _let_145 _let_144 _let_143 _let_142 _let_141 _let_140 _let_139 _let_138 _let_137 _let_136 _let_135 _let_134 _let_133) :args ((forall ((A $$unsorted)) (= (tptp.v2_membered A) (forall ((B $$unsorted)) (or (not (tptp.r2_hidden B A)) (tptp.v1_xreal_0 B))))) SB_DEFAULT SBA_FIXPOINT))) :args ((= tptp.v2_membered (lambda ((BOUND_VARIABLE_245745 $$unsorted)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k1_tarski B))) (let ((_let_2 (tptp.k1_tarski tptp.np__0))) (let ((_let_3 (tptp.k4_xboole_0 (tptp.k3_tarski (tptp.k2_tarski tptp.k2_arytm_2 (tptp.k2_zfmisc_1 _let_2 tptp.k2_arytm_2))) (tptp.k1_tarski (tptp.k2_tarski (tptp.k2_tarski tptp.np__0 tptp.np__0) _let_2))))) (or (= BOUND_VARIABLE_245745 (tptp.k4_xboole_0 BOUND_VARIABLE_245745 _let_1)) (not (= _let_3 (tptp.k4_xboole_0 _let_3 _let_1)))))))))))))) (let ((_let_186 (TRUST_SUBS_EQ (EQ_RESOLVE (EQ_RESOLVE (ASSUME :args (_let_45)) (MACRO_SR_EQ_INTRO :args (_let_45 SB_DEFAULT SBA_FIXPOINT))) (MACRO_SR_EQ_INTRO (AND_INTRO _let_185 _let_184 _let_183 _let_182 _let_181 _let_180 _let_179 _let_178 _let_177 _let_176 _let_175 _let_174 _let_173 _let_172 _let_171 _let_170 _let_169 _let_168 _let_167 _let_166 _let_165 _let_164 _let_163 _let_162 _let_161 _let_160 _let_159 _let_158 _let_157 _let_156 _let_155 _let_154 _let_153 _let_152 _let_151 _let_150 _let_149 _let_148 _let_147 _let_146 _let_145 _let_144 _let_143 _let_142 _let_141 _let_140 _let_139 _let_138 _let_137 _let_136 _let_135 _let_134 _let_133) :args ((forall ((A $$unsorted)) (= (tptp.v3_membered A) (forall ((B $$unsorted)) (or (not (tptp.r2_hidden B A)) (tptp.v1_rat_1 B))))) SB_DEFAULT SBA_FIXPOINT))) :args ((= tptp.v3_membered (lambda ((BOUND_VARIABLE_245770 $$unsorted)) (forall ((B $$unsorted)) (or (= BOUND_VARIABLE_245770 (tptp.k4_xboole_0 BOUND_VARIABLE_245770 (tptp.k1_tarski B))) (tptp.v1_rat_1 B))))))))) (let ((_let_187 (TRUST_SUBS_EQ (EQ_RESOLVE (EQ_RESOLVE (ASSUME :args (_let_44)) (MACRO_SR_EQ_INTRO :args (_let_44 SB_DEFAULT SBA_FIXPOINT))) (MACRO_SR_EQ_INTRO (AND_INTRO _let_186 _let_185 _let_184 _let_183 _let_182 _let_181 _let_180 _let_179 _let_178 _let_177 _let_176 _let_175 _let_174 _let_173 _let_172 _let_171 _let_170 _let_169 _let_168 _let_167 _let_166 _let_165 _let_164 _let_163 _let_162 _let_161 _let_160 _let_159 _let_158 _let_157 _let_156 _let_155 _let_154 _let_153 _let_152 _let_151 _let_150 _let_149 _let_148 _let_147 _let_146 _let_145 _let_144 _let_143 _let_142 _let_141 _let_140 _let_139 _let_138 _let_137 _let_136 _let_135 _let_134 _let_133) :args ((forall ((A $$unsorted)) (= (tptp.v4_membered A) (forall ((B $$unsorted)) (or (not (tptp.r2_hidden B A)) (tptp.v1_int_1 B))))) SB_DEFAULT SBA_FIXPOINT))) :args ((= tptp.v4_membered (lambda ((BOUND_VARIABLE_245799 $$unsorted)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k1_tarski B))) (let ((_let_2 (tptp.k1_tarski tptp.np__0))) (let ((_let_3 (tptp.k4_xboole_0 (tptp.k3_tarski (tptp.k2_tarski tptp.k5_numbers (tptp.k2_zfmisc_1 _let_2 tptp.k5_numbers))) (tptp.k1_tarski (tptp.k2_tarski (tptp.k2_tarski tptp.np__0 tptp.np__0) _let_2))))) (or (= BOUND_VARIABLE_245799 (tptp.k4_xboole_0 BOUND_VARIABLE_245799 _let_1)) (not (= _let_3 (tptp.k4_xboole_0 _let_3 _let_1)))))))))))))) (let ((_let_188 (TRUST_SUBS_EQ (EQ_RESOLVE (EQ_RESOLVE (ASSUME :args (_let_43)) (MACRO_SR_EQ_INTRO :args (_let_43 SB_DEFAULT SBA_FIXPOINT))) (MACRO_SR_EQ_INTRO (AND_INTRO _let_187 _let_186 _let_185 _let_184 _let_183 _let_182 _let_181 _let_180 _let_179 _let_178 _let_177 _let_176 _let_175 _let_174 _let_173 _let_172 _let_171 _let_170 _let_169 _let_168 _let_167 _let_166 _let_165 _let_164 _let_163 _let_162 _let_161 _let_160 _let_159 _let_158 _let_157 _let_156 _let_155 _let_154 _let_153 _let_152 _let_151 _let_150 _let_149 _let_148 _let_147 _let_146 _let_145 _let_144 _let_143 _let_142 _let_141 _let_140 _let_139 _let_138 _let_137 _let_136 _let_135 _let_134 _let_133) :args ((forall ((A $$unsorted)) (= (tptp.v5_membered A) (forall ((B $$unsorted)) (or (not (tptp.r2_hidden B A)) (tptp.v4_ordinal2 B))))) SB_DEFAULT SBA_FIXPOINT))) :args ((= tptp.v5_membered (lambda ((BOUND_VARIABLE_245828 $$unsorted)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k1_tarski B))) (or (= BOUND_VARIABLE_245828 (tptp.k4_xboole_0 BOUND_VARIABLE_245828 _let_1)) (not (= tptp.k5_numbers (tptp.k4_xboole_0 tptp.k5_numbers _let_1)))))))))))) (let ((_let_189 (TRUST_SUBS_EQ (EQ_RESOLVE (EQ_RESOLVE (ASSUME :args (_let_42)) (MACRO_SR_EQ_INTRO :args (_let_42 SB_DEFAULT SBA_FIXPOINT))) (MACRO_SR_EQ_INTRO (AND_INTRO _let_188 _let_187 _let_186 _let_185 _let_184 _let_183 _let_182 _let_181 _let_180 _let_179 _let_178 _let_177 _let_176 _let_175 _let_174 _let_173 _let_172 _let_171 _let_170 _let_169 _let_168 _let_167 _let_166 _let_165 _let_164 _let_163 _let_162 _let_161 _let_160 _let_159 _let_158 _let_157 _let_156 _let_155 _let_154 _let_153 _let_152 _let_151 _let_150 _let_149 _let_148 _let_147 _let_146 _let_145 _let_144 _let_143 _let_142 _let_141 _let_140 _let_139 _let_138 _let_137 _let_136 _let_135 _let_134 _let_133) :args ((forall ((A $$unsorted)) (= (tptp.v1_card_1 A) (and (tptp.v3_ordinal1 A) (forall ((C $$unsorted)) (or (not (tptp.v3_ordinal1 C)) (not (tptp.r2_wellord2 C A)) (tptp.r1_ordinal1 A C)))))) SB_DEFAULT SBA_FIXPOINT))) :args ((= tptp.v1_card_1 (lambda ((BOUND_VARIABLE_248237 $$unsorted)) (and (forall ((C $$unsorted)) (or (not (forall ((B $$unsorted) (BOUND_VARIABLE_206213 $$unsorted)) (let ((_let_1 (tptp.k1_tarski BOUND_VARIABLE_206213))) (or (= C (tptp.k4_xboole_0 C (tptp.k1_tarski B))) (= B (tptp.k4_xboole_0 B _let_1)) (not (= C (tptp.k4_xboole_0 C _let_1))))))) (not (forall ((B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k1_tarski C))) (let ((_let_2 (tptp.k1_tarski B))) (or (= C (tptp.k4_xboole_0 C _let_2)) (= C (tptp.k4_xboole_0 C _let_1)) (not (= C (tptp.k4_xboole_0 C _let_2))) (= B C) (not (= B (tptp.k4_xboole_0 B _let_1)))))))) (not (tptp.r2_wellord2 C BOUND_VARIABLE_248237)) (tptp.r1_ordinal1 BOUND_VARIABLE_248237 C))) (forall ((B $$unsorted) (BOUND_VARIABLE_206213 $$unsorted)) (let ((_let_1 (tptp.k1_tarski BOUND_VARIABLE_206213))) (or (= BOUND_VARIABLE_248237 (tptp.k4_xboole_0 BOUND_VARIABLE_248237 (tptp.k1_tarski B))) (= B (tptp.k4_xboole_0 B _let_1)) (not (= BOUND_VARIABLE_248237 (tptp.k4_xboole_0 BOUND_VARIABLE_248237 _let_1)))))) (forall ((B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k1_tarski C))) (let ((_let_2 (tptp.k1_tarski B))) (or (= BOUND_VARIABLE_248237 (tptp.k4_xboole_0 BOUND_VARIABLE_248237 _let_2)) (= BOUND_VARIABLE_248237 (tptp.k4_xboole_0 BOUND_VARIABLE_248237 _let_1)) (not (= C (tptp.k4_xboole_0 C _let_2))) (= B C) (not (= B (tptp.k4_xboole_0 B _let_1)))))))))))))) (let ((_let_190 (TRUST_SUBS_EQ (ASSUME :args (_let_41)) :args ((= tptp.r2_wellord2 (lambda ((BOUND_VARIABLE_248553 $$unsorted) (BOUND_VARIABLE_248554 $$unsorted)) (= (tptp.k1_card_1 BOUND_VARIABLE_248553) (tptp.k1_card_1 BOUND_VARIABLE_248554)))))))) (let ((_let_191 (EQ_RESOLVE (SYMM (ASSUME :args (_let_40))) (MACRO_SR_EQ_INTRO (AND_INTRO _let_190 _let_189 _let_188 _let_187 _let_186 _let_185 _let_184 _let_183 _let_182 _let_181 _let_180 _let_179 _let_178 _let_177 _let_176 _let_175 _let_174 _let_173 _let_172 _let_171 _let_170 _let_169 _let_168 _let_167 _let_166 _let_165 _let_164 _let_163 _let_162 _let_161 _let_160 _let_159 _let_158 _let_157 _let_156 _let_155 _let_154 _let_153 _let_152 _let_151 _let_150 _let_149 _let_148 _let_147 _let_146 _let_145 _let_144 _let_143 _let_142 _let_141 _let_140 _let_139 _let_138 _let_137 _let_136 _let_135 _let_134 _let_133) :args ((= tptp.k1_xboole_0 tptp.np__0) SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_192 (EQ_RESOLVE (SYMM (ASSUME :args (_let_39))) (MACRO_SR_EQ_INTRO (AND_INTRO _let_191 _let_190 _let_189 _let_188 _let_187 _let_186 _let_185 _let_184 _let_183 _let_182 _let_181 _let_180 _let_179 _let_178 _let_177 _let_176 _let_175 _let_174 _let_173 _let_172 _let_171 _let_170 _let_169 _let_168 _let_167 _let_166 _let_165 _let_164 _let_163 _let_162 _let_161 _let_160 _let_159 _let_158 _let_157 _let_156 _let_155 _let_154 _let_153 _let_152 _let_151 _let_150 _let_149 _let_148 _let_147 _let_146 _let_145 _let_144 _let_143 _let_142 _let_141 _let_140 _let_139 _let_138 _let_137 _let_136 _let_135 _let_134 _let_133) :args ((= tptp.k5_ordinal2 _let_38) SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_193 (TRUST_SUBS_EQ (EQ_RESOLVE (ASSUME :args (_let_32)) (MACRO_SR_EQ_INTRO (AND_INTRO _let_192 _let_191 _let_190 _let_189 _let_188 _let_187 _let_186 _let_185 _let_184 _let_183 _let_182 _let_181 _let_180 _let_179 _let_178 _let_177 _let_176 _let_175 _let_174 _let_173 _let_172 _let_171 _let_170 _let_169 _let_168 _let_167 _let_166 _let_165 _let_164 _let_163 _let_162 _let_161 _let_160 _let_159 _let_158 _let_157 _let_156 _let_155 _let_154 _let_153 _let_152 _let_151 _let_150 _let_149 _let_148 _let_147 _let_146 _let_145 _let_144 _let_143 _let_142 _let_141 _let_140 _let_139 _let_138 _let_137 _let_136 _let_135 _let_134 _let_133) :args (_let_32 SB_DEFAULT SBA_FIXPOINT))) :args ((= tptp.k5_finseq_1 (lambda ((BOUND_VARIABLE_253204 $$unsorted)) (tptp.k1_tarski (tptp.k2_tarski (tptp.k2_tarski tptp.np__1 BOUND_VARIABLE_253204) (tptp.k1_tarski tptp.np__1))))))))) (let ((_let_194 (TRUST_SUBS_EQ (EQ_RESOLVE (EQ_RESOLVE (ASSUME :args (_let_31)) (MACRO_SR_EQ_INTRO :args (_let_31 SB_DEFAULT SBA_FIXPOINT))) (MACRO_SR_EQ_INTRO (AND_INTRO _let_193 _let_192 _let_191 _let_190 _let_189 _let_188 _let_187 _let_186 _let_185 _let_184 _let_183 _let_182 _let_181 _let_180 _let_179 _let_178 _let_177 _let_176 _let_175 _let_174 _let_173 _let_172 _let_171 _let_170 _let_169 _let_168 _let_167 _let_166 _let_165 _let_164 _let_163 _let_162 _let_161 _let_160 _let_159 _let_158 _let_157 _let_156 _let_155 _let_154 _let_153 _let_152 _let_151 _let_150 _let_149 _let_148 _let_147 _let_146 _let_145 _let_144 _let_143 _let_142 _let_141 _let_140 _let_139 _let_138 _let_137 _let_136 _let_135 _let_134 _let_133) :args ((forall ((A $$unsorted)) (= tptp.k1_xboole_0 (tptp.k6_finseq_1 A))) SB_DEFAULT SBA_FIXPOINT))) :args ((= tptp.k6_finseq_1 (lambda ((BOUND_VARIABLE_253217 $$unsorted)) (tptp.k4_xboole_0 tptp.a_0_33_fraenkel (tptp.k4_xboole_0 tptp.a_0_33_fraenkel tptp.f2_s18_fraenkel)))))))) (let ((_let_195 (TRUST_SUBS_EQ (ASSUME :args (_let_30)) :args ((= tptp.k10_finseq_1 (lambda ((BOUND_VARIABLE_254143 $$unsorted) (BOUND_VARIABLE_254144 $$unsorted)) (tptp.k7_finseq_1 (tptp.k9_finseq_1 BOUND_VARIABLE_254143) (tptp.k9_finseq_1 BOUND_VARIABLE_254144)))))))) (let ((_let_196 (TRUST_SUBS_EQ (ASSUME :args (_let_29)) :args ((= tptp.k11_finseq_1 (lambda ((BOUND_VARIABLE_254154 $$unsorted) (BOUND_VARIABLE_254155 $$unsorted) (BOUND_VARIABLE_254156 $$unsorted)) (tptp.k7_finseq_1 (tptp.k7_finseq_1 (tptp.k9_finseq_1 BOUND_VARIABLE_254154) (tptp.k9_finseq_1 BOUND_VARIABLE_254155)) (tptp.k9_finseq_1 BOUND_VARIABLE_254156)))))))) (let ((_let_197 (TRUST_SUBS_EQ (EQ_RESOLVE (ASSUME :args (_let_28)) (MACRO_SR_EQ_INTRO (AND_INTRO _let_196 _let_195 _let_194 _let_193 _let_192 _let_191 _let_190 _let_189 _let_188 _let_187 _let_186 _let_185 _let_184 _let_183 _let_182 _let_181 _let_180 _let_179 _let_178 _let_177 _let_176 _let_175 _let_174 _let_173 _let_172 _let_171 _let_170 _let_169 _let_168 _let_167 _let_166 _let_165 _let_164 _let_163 _let_162 _let_161 _let_160 _let_159 _let_158 _let_157 _let_156 _let_155 _let_154 _let_153 _let_152 _let_151 _let_150 _let_149 _let_148 _let_147 _let_146 _let_145 _let_144 _let_143 _let_142 _let_141 _let_140 _let_139 _let_138 _let_137 _let_136 _let_135 _let_134 _let_133) :args (_let_28 SB_DEFAULT SBA_FIXPOINT))) :args ((= tptp.k9_finseq_1 (lambda ((BOUND_VARIABLE_254180 $$unsorted)) (tptp.k1_tarski (tptp.k2_tarski (tptp.k2_tarski tptp.np__1 BOUND_VARIABLE_254180) (tptp.k1_tarski tptp.np__1))))))))) (let ((_let_198 (TRUST_SUBS_EQ (ASSUME :args (_let_27)) :args ((= tptp.m2_finseq_1 (lambda ((BOUND_VARIABLE_255721 $$unsorted) (BOUND_VARIABLE_255722 $$unsorted)) (tptp.m1_finseq_1 BOUND_VARIABLE_255721 BOUND_VARIABLE_255722))))))) (let ((_let_199 (TRUST_SUBS_EQ (EQ_RESOLVE (EQ_RESOLVE (ASSUME :args (_let_26)) (MACRO_SR_EQ_INTRO :args (_let_26 SB_DEFAULT SBA_FIXPOINT))) (MACRO_SR_EQ_INTRO (AND_INTRO _let_198 _let_197 _let_196 _let_195 _let_194 _let_193 _let_192 _let_191 _let_190 _let_189 _let_188 _let_187 _let_186 _let_185 _let_184 _let_183 _let_182 _let_181 _let_180 _let_179 _let_178 _let_177 _let_176 _let_175 _let_174 _let_173 _let_172 _let_171 _let_170 _let_169 _let_168 _let_167 _let_166 _let_165 _let_164 _let_163 _let_162 _let_161 _let_160 _let_159 _let_158 _let_157 _let_156 _let_155 _let_154 _let_153 _let_152 _let_151 _let_150 _let_149 _let_148 _let_147 _let_146 _let_145 _let_144 _let_143 _let_142 _let_141 _let_140 _let_139 _let_138 _let_137 _let_136 _let_135 _let_134 _let_133) :args ((forall ((A $$unsorted) (B $$unsorted)) (= (tptp.m1_finseq_2 B A) (forall ((C $$unsorted)) (or (not (tptp.r2_hidden C B)) (tptp.m2_finseq_1 C A))))) SB_DEFAULT SBA_FIXPOINT))) :args ((= tptp.m1_finseq_2 (lambda ((BOUND_VARIABLE_260375 $$unsorted) (BOUND_VARIABLE_260376 $$unsorted)) (forall ((C $$unsorted)) (or (= BOUND_VARIABLE_260375 (tptp.k4_xboole_0 BOUND_VARIABLE_260375 (tptp.k1_tarski C))) (tptp.m1_finseq_1 C BOUND_VARIABLE_260376))))))))) (let ((_let_200 (TRUST_SUBS_EQ (EQ_RESOLVE (ASSUME :args (_let_25)) (MACRO_SR_EQ_INTRO (AND_INTRO _let_199 _let_198 _let_197 _let_196 _let_195 _let_194 _let_193 _let_192 _let_191 _let_190 _let_189 _let_188 _let_187 _let_186 _let_185 _let_184 _let_183 _let_182 _let_181 _let_180 _let_179 _let_178 _let_177 _let_176 _let_175 _let_174 _let_173 _let_172 _let_171 _let_170 _let_169 _let_168 _let_167 _let_166 _let_165 _let_164 _let_163 _let_162 _let_161 _let_160 _let_159 _let_158 _let_157 _let_156 _let_155 _let_154 _let_153 _let_152 _let_151 _let_150 _let_149 _let_148 _let_147 _let_146 _let_145 _let_144 _let_143 _let_142 _let_141 _let_140 _let_139 _let_138 _let_137 _let_136 _let_135 _let_134 _let_133) :args (_let_25 SB_DEFAULT SBA_FIXPOINT))) :args ((= tptp.k1_enumset1 (lambda ((BOUND_VARIABLE_261229 $$unsorted) (BOUND_VARIABLE_261230 $$unsorted) (BOUND_VARIABLE_261231 $$unsorted)) (let ((_let_1 (tptp.k1_tarski tptp.np__1))) (tptp.k2_relat_1 (tptp.k7_finseq_1 (tptp.k7_finseq_1 (tptp.k1_tarski (tptp.k2_tarski (tptp.k2_tarski tptp.np__1 BOUND_VARIABLE_261229) _let_1)) (tptp.k1_tarski (tptp.k2_tarski (tptp.k2_tarski tptp.np__1 BOUND_VARIABLE_261230) _let_1))) (tptp.k1_tarski (tptp.k2_tarski (tptp.k2_tarski tptp.np__1 BOUND_VARIABLE_261231) _let_1))))))))))) (let ((_let_201 (TRUST_SUBS_EQ (ASSUME :args (_let_24)) :args ((= tptp.k3_finseq_2 (lambda ((BOUND_VARIABLE_261553 $$unsorted)) (tptp.k13_finseq_1 BOUND_VARIABLE_261553))))))) (let ((_let_202 (TRUST_SUBS_EQ (EQ_RESOLVE (ASSUME :args (_let_21)) (MACRO_SR_EQ_INTRO (AND_INTRO _let_201 _let_200 _let_199 _let_198 _let_197 _let_196 _let_195 _let_194 _let_193 _let_192 _let_191 _let_190 _let_189 _let_188 _let_187 _let_186 _let_185 _let_184 _let_183 _let_182 _let_181 _let_180 _let_179 _let_178 _let_177 _let_176 _let_175 _let_174 _let_173 _let_172 _let_171 _let_170 _let_169 _let_168 _let_167 _let_166 _let_165 _let_164 _let_163 _let_162 _let_161 _let_160 _let_159 _let_158 _let_157 _let_156 _let_155 _let_154 _let_153 _let_152 _let_151 _let_150 _let_149 _let_148 _let_147 _let_146 _let_145 _let_144 _let_143 _let_142 _let_141 _let_140 _let_139 _let_138 _let_137 _let_136 _let_135 _let_134 _let_133) :args (_let_21 SB_DEFAULT SBA_FIXPOINT))) :args ((= tptp.k1_pboole (lambda ((BOUND_VARIABLE_265624 $$unsorted)) (tptp.k2_zfmisc_1 BOUND_VARIABLE_265624 (tptp.k1_tarski (tptp.k4_xboole_0 tptp.a_0_33_fraenkel (tptp.k4_xboole_0 tptp.a_0_33_fraenkel tptp.f2_s18_fraenkel)))))))))) (let ((_let_203 (TRUST_SUBS_EQ (EQ_RESOLVE (ASSUME :args (_let_18)) (MACRO_SR_EQ_INTRO (AND_INTRO _let_202 _let_201 _let_200 _let_199 _let_198 _let_197 _let_196 _let_195 _let_194 _let_193 _let_192 _let_191 _let_190 _let_189 _let_188 _let_187 _let_186 _let_185 _let_184 _let_183 _let_182 _let_181 _let_180 _let_179 _let_178 _let_177 _let_176 _let_175 _let_174 _let_173 _let_172 _let_171 _let_170 _let_169 _let_168 _let_167 _let_166 _let_165 _let_164 _let_163 _let_162 _let_161 _let_160 _let_159 _let_158 _let_157 _let_156 _let_155 _let_154 _let_153 _let_152 _let_151 _let_150 _let_149 _let_148 _let_147 _let_146 _let_145 _let_144 _let_143 _let_142 _let_141 _let_140 _let_139 _let_138 _let_137 _let_136 _let_135 _let_134 _let_133) :args (_let_18 SB_DEFAULT SBA_FIXPOINT))) :args ((= tptp.k10_pboole (lambda ((BOUND_VARIABLE_266879 $$unsorted) (BOUND_VARIABLE_266880 $$unsorted)) (tptp.k2_zfmisc_1 BOUND_VARIABLE_266879 (tptp.k1_tarski BOUND_VARIABLE_266880)))))))) (let ((_let_204 (TRUST_SUBS_EQ (EQ_RESOLVE (EQ_RESOLVE (ASSUME :args (_let_17)) (MACRO_SR_EQ_INTRO :args (_let_17 SB_DEFAULT SBA_FIXPOINT))) (MACRO_SR_EQ_INTRO (AND_INTRO _let_203 _let_202 _let_201 _let_200 _let_199 _let_198 _let_197 _let_196 _let_195 _let_194 _let_193 _let_192 _let_191 _let_190 _let_189 _let_188 _let_187 _let_186 _let_185 _let_184 _let_183 _let_182 _let_181 _let_180 _let_179 _let_178 _let_177 _let_176 _let_175 _let_174 _let_173 _let_172 _let_171 _let_170 _let_169 _let_168 _let_167 _let_166 _let_165 _let_164 _let_163 _let_162 _let_161 _let_160 _let_159 _let_158 _let_157 _let_156 _let_155 _let_154 _let_153 _let_152 _let_151 _let_150 _let_149 _let_148 _let_147 _let_146 _let_145 _let_144 _let_143 _let_142 _let_141 _let_140 _let_139 _let_138 _let_137 _let_136 _let_135 _let_134 _let_133) :args ((forall ((A $$unsorted)) (= (tptp.v1_realset1 A) (or (tptp.v1_xboole_0 A) (not (forall ((B $$unsorted)) (not (= A (tptp.k1_tarski B)))))))) SB_DEFAULT SBA_FIXPOINT))) :args ((= tptp.v1_realset1 (lambda ((BOUND_VARIABLE_270089 $$unsorted)) (or (= BOUND_VARIABLE_270089 (tptp.k4_xboole_0 tptp.a_0_33_fraenkel (tptp.k4_xboole_0 tptp.a_0_33_fraenkel tptp.f2_s18_fraenkel))) (not (forall ((B $$unsorted)) (not (= BOUND_VARIABLE_270089 (tptp.k1_tarski B)))))))))))) (let ((_let_205 (TRUST_SUBS_EQ (EQ_RESOLVE (ASSUME :args (_let_16)) (MACRO_SR_EQ_INTRO (AND_INTRO _let_204 _let_203 _let_202 _let_201 _let_200 _let_199 _let_198 _let_197 _let_196 _let_195 _let_194 _let_193 _let_192 _let_191 _let_190 _let_189 _let_188 _let_187 _let_186 _let_185 _let_184 _let_183 _let_182 _let_181 _let_180 _let_179 _let_178 _let_177 _let_176 _let_175 _let_174 _let_173 _let_172 _let_171 _let_170 _let_169 _let_168 _let_167 _let_166 _let_165 _let_164 _let_163 _let_162 _let_161 _let_160 _let_159 _let_158 _let_157 _let_156 _let_155 _let_154 _let_153 _let_152 _let_151 _let_150 _let_149 _let_148 _let_147 _let_146 _let_145 _let_144 _let_143 _let_142 _let_141 _let_140 _let_139 _let_138 _let_137 _let_136 _let_135 _let_134 _let_133) :args (_let_16 SB_DEFAULT SBA_FIXPOINT))) :args ((= tptp.k2_pre_circ (lambda ((BOUND_VARIABLE_279338 $$unsorted) (BOUND_VARIABLE_279339 $$unsorted)) (tptp.k2_zfmisc_1 BOUND_VARIABLE_279338 (tptp.k1_tarski BOUND_VARIABLE_279339)))))))) (let ((_let_206 (EQ_RESOLVE (ASSUME :args (_let_9)) (MACRO_SR_EQ_INTRO (AND_INTRO _let_205 _let_204 _let_203 _let_202 _let_201 _let_200 _let_199 _let_198 _let_197 _let_196 _let_195 _let_194 _let_193 _let_192 _let_191 _let_190 _let_189 _let_188 _let_187 _let_186 _let_185 _let_184 _let_183 _let_182 _let_181 _let_180 _let_179 _let_178 _let_177 _let_176 _let_175 _let_174 _let_173 _let_172 _let_171 _let_170 _let_169 _let_168 _let_167 _let_166 _let_165 _let_164 _let_163 _let_162 _let_161 _let_160 _let_159 _let_158 _let_157 _let_156 _let_155 _let_154 _let_153 _let_152 _let_151 _let_150 _let_149 _let_148 _let_147 _let_146 _let_145 _let_144 _let_143 _let_142 _let_141 _let_140 _let_139 _let_138 _let_137 _let_136 _let_135 _let_134 _let_133) :args (_let_9 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_207 (EQ_RESOLVE (ASSUME :args (_let_8)) (MACRO_SR_EQ_INTRO (AND_INTRO _let_206 _let_205 _let_204 _let_203 _let_202 _let_201 _let_200 _let_199 _let_198 _let_197 _let_196 _let_195 _let_194 _let_193 _let_192 _let_191 _let_190 _let_189 _let_188 _let_187 _let_186 _let_185 _let_184 _let_183 _let_182 _let_181 _let_180 _let_179 _let_178 _let_177 _let_176 _let_175 _let_174 _let_173 _let_172 _let_171 _let_170 _let_169 _let_168 _let_167 _let_166 _let_165 _let_164 _let_163 _let_162 _let_161 _let_160 _let_159 _let_158 _let_157 _let_156 _let_155 _let_154 _let_153 _let_152 _let_151 _let_150 _let_149 _let_148 _let_147 _let_146 _let_145 _let_144 _let_143 _let_142 _let_141 _let_140 _let_139 _let_138 _let_137 _let_136 _let_135 _let_134 _let_133) :args (_let_8 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_208 (AND_INTRO (TRUST_SUBS_EQ (EQ_RESOLVE (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))) (MACRO_SR_EQ_INTRO (AND_INTRO _let_207 _let_206 _let_205 _let_204 _let_203 _let_202 _let_201 _let_200 _let_199 _let_198 _let_197 _let_196 _let_195 _let_194 _let_193 _let_192 _let_191 _let_190 _let_189 _let_188 _let_187 _let_186 _let_185 _let_184 _let_183 _let_182 _let_181 _let_180 _let_179 _let_178 _let_177 _let_176 _let_175 _let_174 _let_173 _let_172 _let_171 _let_170 _let_169 _let_168 _let_167 _let_166 _let_165 _let_164 _let_163 _let_162 _let_161 _let_160 _let_159 _let_158 _let_157 _let_156 _let_155 _let_154 _let_153 _let_152 _let_151 _let_150 _let_149 _let_148 _let_147 _let_146 _let_145 _let_144 _let_143 _let_142 _let_141 _let_140 _let_139 _let_138 _let_137 _let_136 _let_135 _let_134 _let_133) :args ((forall ((A $$unsorted)) (= (tptp.v1_pralg_2 A) (forall ((B $$unsorted) (BOUND_VARIABLE_178169 $$unsorted)) (or (not (tptp.v1_relat_1 B)) (not (tptp.v1_funct_1 B)) (not (tptp.r2_hidden B A)) (not (tptp.v1_relat_1 BOUND_VARIABLE_178169)) (not (tptp.v1_funct_1 BOUND_VARIABLE_178169)) (not (tptp.r2_hidden BOUND_VARIABLE_178169 A)) (= (tptp.k1_relat_1 B) (tptp.k1_relat_1 BOUND_VARIABLE_178169)))))) SB_DEFAULT SBA_FIXPOINT))) :args ((= tptp.v1_pralg_2 (lambda ((BOUND_VARIABLE_288439 $$unsorted)) (forall ((B $$unsorted) (BOUND_VARIABLE_178169 $$unsorted)) (or (not (forall ((B $$unsorted)) (or (= B (tptp.k4_xboole_0 B (tptp.k1_tarski B))) (not (forall ((C $$unsorted) (D $$unsorted)) (not (= B (tptp.k2_tarski (tptp.k2_tarski C D) (tptp.k1_tarski C))))))))) (not (forall ((B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k1_tarski B))) (or (= B (tptp.k4_xboole_0 B (tptp.k1_tarski (tptp.k2_tarski (tptp.k2_tarski B C) _let_1)))) (= B (tptp.k4_xboole_0 B (tptp.k1_tarski (tptp.k2_tarski (tptp.k2_tarski B D) _let_1)))) (= C D))))) (= BOUND_VARIABLE_288439 (tptp.k4_xboole_0 BOUND_VARIABLE_288439 (tptp.k1_tarski B))) (not (forall ((B $$unsorted)) (or (= BOUND_VARIABLE_178169 (tptp.k4_xboole_0 BOUND_VARIABLE_178169 (tptp.k1_tarski B))) (not (forall ((C $$unsorted) (D $$unsorted)) (not (= B (tptp.k2_tarski (tptp.k2_tarski C D) (tptp.k1_tarski C))))))))) (not (forall ((B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k1_tarski B))) (or (= BOUND_VARIABLE_178169 (tptp.k4_xboole_0 BOUND_VARIABLE_178169 (tptp.k1_tarski (tptp.k2_tarski (tptp.k2_tarski B C) _let_1)))) (= BOUND_VARIABLE_178169 (tptp.k4_xboole_0 BOUND_VARIABLE_178169 (tptp.k1_tarski (tptp.k2_tarski (tptp.k2_tarski B D) _let_1)))) (= C D))))) (= BOUND_VARIABLE_288439 (tptp.k4_xboole_0 BOUND_VARIABLE_288439 (tptp.k1_tarski BOUND_VARIABLE_178169))) (= (tptp.k1_relat_1 B) (tptp.k1_relat_1 BOUND_VARIABLE_178169)))))))) _let_207 _let_206 _let_205 _let_204 _let_203 _let_202 _let_201 _let_200 _let_199 _let_198 _let_197 _let_196 _let_195 _let_194 _let_193 _let_192 _let_191 _let_190 _let_189 _let_188 _let_187 _let_186 _let_185 _let_184 _let_183 _let_182 _let_181 _let_180 _let_179 _let_178 _let_177 _let_176 _let_175 _let_174 _let_173 _let_172 _let_171 _let_170 _let_169 _let_168 _let_167 _let_166 _let_165 _let_164 _let_163 _let_162 _let_161 _let_160 _let_159 _let_158 _let_157 _let_156 _let_155 _let_154 _let_153 _let_152 _let_151 _let_150 _let_149 _let_148 _let_147 _let_146 _let_145 _let_144 _let_143 _let_142 _let_141 _let_140 _let_139 _let_138 _let_137 _let_136 _let_135 _let_134 _let_133))) (let ((_let_209 (EQ_RESOLVE (ASSUME :args (_let_1)) (TRANS (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT)) (MACRO_SR_EQ_INTRO _let_208 :args ((not (forall ((A $$unsorted) (BOUND_VARIABLE_186826 $$unsorted) (BOUND_VARIABLE_186824 $$unsorted)) (let ((_let_1 (tptp.k1_closure3 A BOUND_VARIABLE_186826))) (let ((_let_2 (tptp.k1_closure3 A BOUND_VARIABLE_186824))) (or (tptp.v1_xboole_0 A) (not (tptp.v2_relat_1 BOUND_VARIABLE_186824)) (not (tptp.m1_pboole BOUND_VARIABLE_186824 A)) (not (tptp.v2_relat_1 BOUND_VARIABLE_186826)) (not (tptp.m1_pboole BOUND_VARIABLE_186826 A)) (not (= _let_2 _let_1)) (not (= (tptp.k7_relat_1 BOUND_VARIABLE_186824 _let_2) (tptp.k7_relat_1 BOUND_VARIABLE_186826 _let_1))) (tptp.r6_pboole A BOUND_VARIABLE_186824 BOUND_VARIABLE_186826)))))) SB_DEFAULT SBA_FIXPOINT)))))) (let ((_let_210 (or))) (let ((_let_211 (not _let_131))) (let ((_let_212 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE _let_209) :args (_let_211)) (REWRITE :args ((=> _let_211 (not (or (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_142 _let_114) _let_128 _let_126 _let_124 _let_122 _let_120 _let_119 _let_118))))))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_211) _let_131))) (REFL :args (_let_132)) :args _let_210)) _let_209 :args (_let_132 true _let_131)))) (let ((_let_213 (REFL :args (_let_130)))) (let ((_let_214 (= _let_118 _let_113))) (let ((_let_215 (not _let_113))) (let ((_let_216 (or _let_126 _let_122 _let_214))) (let ((_let_217 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (tptp.m1_pboole B A)) (not (tptp.m1_pboole C A)) (= (tptp.r6_pboole A B C) (= B C)))))) (let ((_let_218 (EQ_RESOLVE (ASSUME :args (_let_19)) (MACRO_SR_EQ_INTRO :args (_let_19 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_219 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_130 4)) (CONG _let_213 (MACRO_SR_PRED_INTRO :args ((= (not _let_122) _let_121))) :args _let_210)) :args ((or _let_121 _let_130))) _let_212 :args (_let_121 true _let_130)))) (let ((_let_220 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_130 2)) (CONG _let_213 (MACRO_SR_PRED_INTRO :args ((= (not _let_126) _let_125))) :args _let_210)) :args ((or _let_125 _let_130))) _let_212 :args (_let_125 true _let_130)))) (let ((_let_221 (or _let_129 _let_124 _let_122 _let_116))) (let ((_let_222 (forall ((A $$unsorted) (BOUND_VARIABLE_186757 $$unsorted)) (let ((_let_1 (tptp.k4_xboole_0 tptp.a_0_33_fraenkel (tptp.k4_xboole_0 tptp.a_0_33_fraenkel tptp.f2_s18_fraenkel)))) (or (= A _let_1) (not (tptp.v2_relat_1 BOUND_VARIABLE_186757)) (not (tptp.m1_pboole BOUND_VARIABLE_186757 A)) (= BOUND_VARIABLE_186757 (tptp.k1_funct_4 (tptp.k2_zfmisc_1 A (tptp.k1_tarski _let_1)) (tptp.k7_relat_1 BOUND_VARIABLE_186757 (tptp.k1_closure3 A BOUND_VARIABLE_186757))))))))) (let ((_let_223 (EQ_RESOLVE (ASSUME :args (_let_2)) (TRANS (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT)) (MACRO_SR_EQ_INTRO _let_208 :args ((forall ((A $$unsorted) (BOUND_VARIABLE_186757 $$unsorted)) (or (tptp.v1_xboole_0 A) (not (tptp.v2_relat_1 BOUND_VARIABLE_186757)) (not (tptp.m1_pboole BOUND_VARIABLE_186757 A)) (= BOUND_VARIABLE_186757 (tptp.k1_funct_4 (tptp.k1_pboole A) (tptp.k7_relat_1 BOUND_VARIABLE_186757 (tptp.k1_closure3 A BOUND_VARIABLE_186757)))))) SB_DEFAULT SBA_FIXPOINT)))))) (let ((_let_224 (_let_222))) (let ((_let_225 ((not (= (tptp.m1_pboole BOUND_VARIABLE_186757 A) false))))) (let ((_let_226 (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_130 0)) _let_212 :args ((not _let_129) true _let_130)))) (let ((_let_227 (or _let_129 _let_128 _let_126 _let_117))) (let ((_let_228 (and _let_112 _let_116 _let_117))) (let ((_let_229 (ASSUME :args (_let_117)))) (let ((_let_230 (ASSUME :args (_let_112)))) (let ((_let_231 (ASSUME :args (_let_116)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_228)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_229 _let_230 _let_231) (SCOPE (TRANS (SYMM (SYMM _let_231)) (CONG (REFL :args (_let_115)) (SYMM _let_230) :args (APPLY_UF tptp.k1_funct_4)) (SYMM _let_229)) :args (_let_117 _let_112 _let_116))) :args (_let_112 _let_116 _let_117))) :args (true _let_228)) :args ((or _let_119 _let_113 (not _let_116) (not _let_117)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_227)) :args ((or _let_128 _let_126 _let_129 _let_117 (not _let_227)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_130 1)) (CONG _let_213 (MACRO_SR_PRED_INTRO :args ((= (not _let_128) _let_127))) :args _let_210)) :args ((or _let_127 _let_130))) _let_212 :args (_let_127 true _let_130)) _let_220 _let_226 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_223 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_142 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_144 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_225)) :args _let_224))) _let_223 :args (_let_227 false _let_222)) :args (_let_117 false _let_127 false _let_125 true _let_129 false _let_227)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_221)) :args ((or _let_124 _let_122 _let_129 _let_116 (not _let_221)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_130 3)) (CONG _let_213 (MACRO_SR_PRED_INTRO :args ((= (not _let_124) _let_123))) :args _let_210)) :args ((or _let_123 _let_130))) _let_212 :args (_let_123 true _let_130)) _let_219 _let_226 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_223 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_142 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_143 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_225)) :args _let_224))) _let_223 :args (_let_221 false _let_222)) :args (_let_116 false _let_123 false _let_121 true _let_129 false _let_221)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_214)) :args ((or _let_118 _let_215 (not _let_214)))) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_130 7)) _let_212 :args ((not _let_118) true _let_130)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_216)) :args ((or _let_126 _let_122 _let_214 (not _let_216)))) _let_220 _let_219 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_218 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_142 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_144 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_143 QUANTIFIERS_INST_CBQI_PROP)) :args (_let_217)))) _let_218 :args (_let_216 false _let_217)) :args (_let_214 false _let_125 false _let_121 false _let_216)) :args (_let_215 true _let_118 false _let_214)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_130 6)) (CONG _let_213 (MACRO_SR_PRED_INTRO :args ((= (not _let_119) _let_112))) :args _let_210)) :args ((or _let_112 _let_130))) _let_212 :args (_let_112 true _let_130)) :args (false false _let_117 false _let_116 true _let_113 false _let_112)) :args ((forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.r2_hidden A B) (not (tptp.r2_hidden B A)))) true (forall ((A $$unsorted) (B $$unsorted)) (=> (forall ((C $$unsorted)) (= (tptp.r2_hidden C A) (tptp.r2_hidden C B))) (= A B))) (forall ((A $$unsorted) (B $$unsorted)) (= (= B (tptp.k1_tarski A)) (forall ((C $$unsorted)) (= (tptp.r2_hidden C B) (= C A))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (= C (tptp.k2_tarski A B)) (forall ((D $$unsorted)) (= (tptp.r2_hidden D C) (or (= D A) (= D B)))))) true true _let_107 (forall ((A $$unsorted) (B $$unsorted)) (= (= B (tptp.k3_tarski A)) (forall ((C $$unsorted)) (= (tptp.r2_hidden C B) (exists ((D $$unsorted)) (and (tptp.r2_hidden C D) (tptp.r2_hidden D A))))))) true true (forall ((A $$unsorted) (B $$unsorted)) (not (and (tptp.r2_hidden A B) (forall ((C $$unsorted)) (not (and (tptp.r2_hidden C B) (forall ((D $$unsorted)) (not (and (tptp.r2_hidden D B) (tptp.r2_hidden D C)))))))))) _let_106 true _let_105 (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_36 (exists ((A $$unsorted)) (tptp.v1_xboole_0 A)) (exists ((A $$unsorted)) (not (tptp.v1_xboole_0 A))) (forall ((A $$unsorted) (B $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (not (tptp.v1_xboole_0 (tptp.k2_xboole_0 A B))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (not (tptp.v1_xboole_0 (tptp.k2_xboole_0 B A))))) (forall ((A $$unsorted)) (= (= A tptp.k1_xboole_0) (forall ((B $$unsorted)) (not (tptp.r2_hidden B A))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (= C (tptp.k2_xboole_0 A B)) (forall ((D $$unsorted)) (= (tptp.r2_hidden D C) (or (tptp.r2_hidden D A) (tptp.r2_hidden D B)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (= C (tptp.k3_xboole_0 A B)) (forall ((D $$unsorted)) (= (tptp.r2_hidden D C) (and (tptp.r2_hidden D A) (tptp.r2_hidden D B)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (= C (tptp.k4_xboole_0 A B)) (forall ((D $$unsorted)) (= (tptp.r2_hidden D C) (and (tptp.r2_hidden D A) (not (tptp.r2_hidden D B))))))) _let_104 _let_103 _let_102 _let_101 _let_100 (forall ((A $$unsorted) (B $$unsorted)) (= (= A B) (and (tptp.r1_tarski A B) (tptp.r1_tarski B A)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.r2_hidden A (tptp.k5_xboole_0 B C)) (not (= (tptp.r2_hidden A B) (tptp.r2_hidden A C))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (forall ((D $$unsorted)) (= (not (tptp.r2_hidden D A)) (= (tptp.r2_hidden D B) (tptp.r2_hidden D C)))) (= A (tptp.k5_xboole_0 B C)))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.r1_xboole_0 A B))) (and (not (and (not _let_1) (forall ((C $$unsorted)) (not (and (tptp.r2_hidden C A) (tptp.r2_hidden C B)))))) (not (and (exists ((C $$unsorted)) (and (tptp.r2_hidden C A) (tptp.r2_hidden C B))) _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.r1_xboole_0 A B))) (and (not (and (not _let_1) (forall ((C $$unsorted)) (not (tptp.r2_hidden C (tptp.k3_xboole_0 A B)))))) (not (and (exists ((C $$unsorted)) (tptp.r2_hidden C (tptp.k3_xboole_0 A B))) _let_1))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.r2_hidden C A))) (let ((_let_2 (tptp.r2_hidden C B))) (not (and (tptp.r1_xboole_0 A B) (tptp.r2_hidden C (tptp.k2_xboole_0 A B)) (not (and _let_1 (not _let_2))) (not (and _let_2 (not _let_1)))))))) (exists ((A $$unsorted)) (forall ((B $$unsorted)) (= (tptp.r2_hidden B A) (and (tptp.r2_hidden B tptp.f1_s1_xboole_0) (tptp.p1_s1_xboole_0 B))))) (=> (and (forall ((A $$unsorted)) (= (tptp.r2_hidden A tptp.f1_s2_xboole_0) (tptp.p1_s2_xboole_0 A))) (forall ((A $$unsorted)) (= (tptp.r2_hidden A tptp.f2_s2_xboole_0) (tptp.p1_s2_xboole_0 A)))) (= tptp.f1_s2_xboole_0 tptp.f2_s2_xboole_0)) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (forall ((C $$unsorted)) (= (tptp.r2_hidden C A) (tptp.p1_s3_xboole_0 C))) (forall ((C $$unsorted)) (= (tptp.r2_hidden C B) (tptp.p1_s3_xboole_0 C)))) (= A B))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.r1_xboole_0 A B) (tptp.r1_xboole_0 B A))) (forall ((A $$unsorted) (B $$unsorted)) (not (tptp.r2_xboole_0 A A))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.r2_xboole_0 A B) (not (tptp.r2_xboole_0 B A)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.r3_xboole_0 A B) (tptp.r3_xboole_0 B A))) (forall ((A $$unsorted) (B $$unsorted)) (tptp.r3_xboole_0 A A)) true true (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.k2_xboole_0 A B) (tptp.k2_xboole_0 B A))) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.k2_xboole_0 A A) A)) true (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.k3_xboole_0 A B) (tptp.k3_xboole_0 B A))) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.k3_xboole_0 A A) A)) true true (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.k5_xboole_0 A B) (tptp.k5_xboole_0 B A))) (forall ((A $$unsorted)) (= (tptp.k2_xboole_0 A tptp.k1_xboole_0) A)) (forall ((A $$unsorted)) (= (tptp.k3_xboole_0 A tptp.k1_xboole_0) tptp.k1_xboole_0)) (forall ((A $$unsorted)) (= (tptp.k4_xboole_0 A tptp.k1_xboole_0) A)) (forall ((A $$unsorted)) (= (tptp.k4_xboole_0 tptp.k1_xboole_0 A) tptp.k1_xboole_0)) (forall ((A $$unsorted)) (= (tptp.k5_xboole_0 A tptp.k1_xboole_0) A)) (forall ((A $$unsorted)) (=> (tptp.v1_xboole_0 A) (= A tptp.k1_xboole_0))) (forall ((A $$unsorted) (B $$unsorted)) (not (and (tptp.r2_hidden A B) (tptp.v1_xboole_0 B)))) (forall ((A $$unsorted) (B $$unsorted)) (not (and (tptp.v1_xboole_0 A) (not (= A B)) (tptp.v1_xboole_0 B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.r1_tarski A B) (tptp.r1_tarski B C)) (tptp.r1_tarski A C))) (forall ((A $$unsorted)) (tptp.r1_tarski tptp.k1_xboole_0 A)) (forall ((A $$unsorted)) (=> (tptp.r1_tarski A tptp.k1_xboole_0) (= A tptp.k1_xboole_0))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.k2_xboole_0 (tptp.k2_xboole_0 A B) C) (tptp.k2_xboole_0 A (tptp.k2_xboole_0 B C)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.k2_xboole_0 (tptp.k2_xboole_0 A B) C) (tptp.k2_xboole_0 (tptp.k2_xboole_0 A C) (tptp.k2_xboole_0 B C)))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k2_xboole_0 A B))) (= (tptp.k2_xboole_0 A _let_1) _let_1))) (forall ((A $$unsorted) (B $$unsorted)) (tptp.r1_tarski A (tptp.k2_xboole_0 A B))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.r1_tarski A B) (tptp.r1_tarski C B)) (tptp.r1_tarski (tptp.k2_xboole_0 A C) B))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.r1_tarski A B) (tptp.r1_tarski (tptp.k2_xboole_0 A C) (tptp.k2_xboole_0 B C)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.r1_tarski A B) (tptp.r1_tarski A (tptp.k2_xboole_0 C B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.r1_tarski (tptp.k2_xboole_0 A B) C) (tptp.r1_tarski A C))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.r1_tarski A B) (= (tptp.k2_xboole_0 A B) B))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.r1_tarski A B) (tptp.r1_tarski C D)) (tptp.r1_tarski (tptp.k2_xboole_0 A C) (tptp.k2_xboole_0 B D)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.r1_tarski A B) (tptp.r1_tarski C B) (forall ((D $$unsorted)) (=> (and (tptp.r1_tarski A D) (tptp.r1_tarski C D)) (tptp.r1_tarski B D)))) (= B (tptp.k2_xboole_0 A C)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (= (tptp.k2_xboole_0 A B) tptp.k1_xboole_0) (= A tptp.k1_xboole_0))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.k3_xboole_0 (tptp.k3_xboole_0 A B) C) (tptp.k3_xboole_0 A (tptp.k3_xboole_0 B C)))) (forall ((A $$unsorted) (B $$unsorted)) (tptp.r1_tarski (tptp.k3_xboole_0 A B) A)) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.r1_tarski A (tptp.k3_xboole_0 B C)) (tptp.r1_tarski A B))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.r1_tarski A B) (tptp.r1_tarski A C)) (tptp.r1_tarski A (tptp.k3_xboole_0 B C)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.r1_tarski A B) (tptp.r1_tarski A C) (forall ((D $$unsorted)) (=> (and (tptp.r1_tarski D B) (tptp.r1_tarski D C)) (tptp.r1_tarski D A)))) (= A (tptp.k3_xboole_0 B C)))) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.k3_xboole_0 A (tptp.k2_xboole_0 A B)) A)) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.k2_xboole_0 A (tptp.k3_xboole_0 A B)) A)) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.k3_xboole_0 A (tptp.k2_xboole_0 B C)) (tptp.k2_xboole_0 (tptp.k3_xboole_0 A B) (tptp.k3_xboole_0 A C)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.k2_xboole_0 A (tptp.k3_xboole_0 B C)) (tptp.k3_xboole_0 (tptp.k2_xboole_0 A B) (tptp.k2_xboole_0 A C)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.k2_xboole_0 (tptp.k2_xboole_0 (tptp.k3_xboole_0 A B) (tptp.k3_xboole_0 B C)) (tptp.k3_xboole_0 C A)) (tptp.k3_xboole_0 (tptp.k3_xboole_0 (tptp.k2_xboole_0 A B) (tptp.k2_xboole_0 B C)) (tptp.k2_xboole_0 C A)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.r1_tarski A B) (tptp.r1_tarski (tptp.k3_xboole_0 A C) (tptp.k3_xboole_0 B C)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.r1_tarski A B) (tptp.r1_tarski C D)) (tptp.r1_tarski (tptp.k3_xboole_0 A C) (tptp.k3_xboole_0 B D)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.r1_tarski A B) (= (tptp.k3_xboole_0 A B) A))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (tptp.r1_tarski (tptp.k3_xboole_0 A B) (tptp.k2_xboole_0 A C))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.r1_tarski A B) (= (tptp.k2_xboole_0 A (tptp.k3_xboole_0 C B)) (tptp.k3_xboole_0 (tptp.k2_xboole_0 A C) B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (tptp.r1_tarski (tptp.k2_xboole_0 (tptp.k3_xboole_0 A B) (tptp.k3_xboole_0 A C)) (tptp.k2_xboole_0 B C))) (forall ((A $$unsorted) (B $$unsorted)) (=> (= (tptp.k4_xboole_0 A B) (tptp.k4_xboole_0 B A)) (= A B))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.r1_tarski A B) (tptp.r1_tarski (tptp.k4_xboole_0 A C) (tptp.k4_xboole_0 B C)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.r1_tarski A B) (tptp.r1_tarski (tptp.k4_xboole_0 C B) (tptp.k4_xboole_0 C A)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.r1_tarski A B) (tptp.r1_tarski C D)) (tptp.r1_tarski (tptp.k4_xboole_0 A D) (tptp.k4_xboole_0 B C)))) (forall ((A $$unsorted) (B $$unsorted)) (tptp.r1_tarski (tptp.k4_xboole_0 A B) A)) (forall ((A $$unsorted) (B $$unsorted)) (= (= (tptp.k4_xboole_0 A B) tptp.k1_xboole_0) (tptp.r1_tarski A B))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.r1_tarski A (tptp.k4_xboole_0 B A)) (= A tptp.k1_xboole_0))) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.k2_xboole_0 A (tptp.k4_xboole_0 B A)) (tptp.k2_xboole_0 A B))) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.k4_xboole_0 (tptp.k2_xboole_0 A B) B) (tptp.k4_xboole_0 A B))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.k4_xboole_0 (tptp.k4_xboole_0 A B) C) (tptp.k4_xboole_0 A (tptp.k2_xboole_0 B C)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.k4_xboole_0 (tptp.k2_xboole_0 A B) C) (tptp.k2_xboole_0 (tptp.k4_xboole_0 A C) (tptp.k4_xboole_0 B C)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.r1_tarski A (tptp.k2_xboole_0 B C)) (tptp.r1_tarski (tptp.k4_xboole_0 A B) C))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.r1_tarski (tptp.k4_xboole_0 A B) C) (tptp.r1_tarski A (tptp.k2_xboole_0 B C)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.r1_tarski A B) (= B (tptp.k2_xboole_0 A (tptp.k4_xboole_0 B A))))) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.k4_xboole_0 A (tptp.k2_xboole_0 A B)) tptp.k1_xboole_0)) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.k4_xboole_0 A (tptp.k3_xboole_0 A B)) (tptp.k4_xboole_0 A B))) _let_99 (forall ((A $$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 $$unsorted)) (not (tptp.v1_xboole_0 (tptp.k4_tarski A B)))) (forall ((A $$unsorted) (B $$unsorted)) (= (= B (tptp.k1_zfmisc_1 A)) (forall ((C $$unsorted)) (= (tptp.r2_hidden C B) (tptp.r1_tarski C A))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (= C (tptp.k2_zfmisc_1 A B)) (forall ((D $$unsorted)) (= (tptp.r2_hidden D C) (exists ((E $$unsorted) (F $$unsorted)) (and (tptp.r2_hidden E A) (tptp.r2_hidden F B) (= D (tptp.k4_tarski E F)))))))) _let_98 _let_97 (= (tptp.k1_zfmisc_1 tptp.k1_xboole_0) _let_3) (= (tptp.k3_tarski tptp.k1_xboole_0) tptp.k1_xboole_0) true true true (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.r1_tarski (tptp.k1_tarski A) (tptp.k1_tarski B)) (= A B))) true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (= (tptp.k1_tarski A) (tptp.k2_tarski B C)) (= A B))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (= (tptp.k1_tarski A) (tptp.k2_tarski B C)) (= B C))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (not (and (= (tptp.k2_tarski A B) (tptp.k2_tarski C D)) (not (= A C)) (not (= A D))))) true (forall ((A $$unsorted) (B $$unsorted)) (tptp.r1_tarski (tptp.k1_tarski A) (tptp.k2_tarski A B))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k1_tarski A))) (=> (= (tptp.k2_xboole_0 _let_1 (tptp.k1_tarski B)) _let_1) (= A B)))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k2_tarski A B))) (= (tptp.k2_xboole_0 (tptp.k1_tarski A) _let_1) _let_1))) true (forall ((A $$unsorted) (B $$unsorted)) (not (and (tptp.r1_xboole_0 (tptp.k1_tarski A) (tptp.k1_tarski B)) (= A B)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (not (= A B)) (tptp.r1_xboole_0 (tptp.k1_tarski A) (tptp.k1_tarski B)))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k1_tarski A))) (=> (= (tptp.k3_xboole_0 _let_1 (tptp.k1_tarski B)) _let_1) (= A B)))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k1_tarski A))) (= (tptp.k3_xboole_0 _let_1 (tptp.k2_tarski A B)) _let_1))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k1_tarski A))) (= (= (tptp.k4_xboole_0 _let_1 (tptp.k1_tarski B)) _let_1) (not (= A B))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (= (tptp.k4_xboole_0 (tptp.k1_tarski A) (tptp.k1_tarski B)) tptp.k1_xboole_0) (= A B))) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.k4_xboole_0 (tptp.k1_tarski A) (tptp.k2_tarski A B)) tptp.k1_xboole_0)) (forall ((A $$unsorted) (B $$unsorted)) (=> (not (= A B)) (= (tptp.k4_xboole_0 (tptp.k2_tarski A B) (tptp.k1_tarski B)) (tptp.k1_tarski A)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.r1_tarski (tptp.k1_tarski A) (tptp.k1_tarski B)) (= A B))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (not (and (tptp.r1_tarski (tptp.k1_tarski A) (tptp.k2_tarski B C)) (not (= A B)) (not (= A C))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.r1_tarski (tptp.k2_tarski A B) (tptp.k1_tarski C)) (= A C))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k1_tarski C))) (let ((_let_2 (tptp.k2_tarski A B))) (=> (tptp.r1_tarski _let_2 _let_1) (= _let_2 _let_1))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (not (and (tptp.r1_tarski (tptp.k2_tarski A B) (tptp.k2_tarski C D)) (not (= A C)) (not (= A D))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (not (= A B)) (= (tptp.k5_xboole_0 (tptp.k1_tarski A) (tptp.k1_tarski B)) (tptp.k2_tarski A B)))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k1_tarski A))) (= (tptp.k1_zfmisc_1 _let_1) (tptp.k2_tarski tptp.k1_xboole_0 _let_1)))) (forall ((A $$unsorted)) (= (tptp.k3_tarski (tptp.k1_tarski A)) A)) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.k3_tarski (tptp.k2_tarski (tptp.k1_tarski A) (tptp.k1_tarski B))) (tptp.k2_tarski A B))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (= (tptp.k4_tarski A B) (tptp.k4_tarski C D)) (and (= A C) (= B D)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (= (tptp.r2_hidden (tptp.k4_tarski A B) (tptp.k2_zfmisc_1 (tptp.k1_tarski C) (tptp.k1_tarski D))) (and (= A C) (= B D)))) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.k2_zfmisc_1 (tptp.k1_tarski A) (tptp.k1_tarski B)) (tptp.k1_tarski (tptp.k4_tarski A B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k4_tarski A C))) (and (= (tptp.k2_zfmisc_1 (tptp.k1_tarski A) (tptp.k2_tarski B C)) (tptp.k2_tarski (tptp.k4_tarski A B) _let_1)) (= (tptp.k2_zfmisc_1 (tptp.k2_tarski A B) (tptp.k1_tarski C)) (tptp.k2_tarski _let_1 (tptp.k4_tarski B C)))))) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.r1_tarski (tptp.k1_tarski A) B) (tptp.r2_hidden A B))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.r1_tarski (tptp.k2_tarski A B) C) (and (tptp.r2_hidden A C) (tptp.r2_hidden B C)))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k1_tarski B))) (= (tptp.r1_tarski A _let_1) (or (= A tptp.k1_xboole_0) (= A _let_1))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.r1_tarski A B) (or (tptp.r2_hidden C A) (tptp.r1_tarski A (tptp.k4_xboole_0 B (tptp.k1_tarski C)))))) (forall ((A $$unsorted) (B $$unsorted)) (not (and (not (= A (tptp.k1_tarski B))) (not (= A tptp.k1_xboole_0)) (forall ((C $$unsorted)) (not (and (tptp.r2_hidden C A) (not (= C B)))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k2_tarski B C))) (= (tptp.r1_tarski A _let_1) (not (and (not (= A tptp.k1_xboole_0)) (not (= A (tptp.k1_tarski B))) (not (= A (tptp.k1_tarski C))) (not (= A _let_1))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k1_tarski A))) (let ((_let_2 (= B _let_1))) (let ((_let_3 (= C _let_1))) (not (and (= _let_1 (tptp.k2_xboole_0 B C)) (not (and _let_2 _let_3)) (not (and (= B tptp.k1_xboole_0) _let_3)) (not (and _let_2 (= C tptp.k1_xboole_0))))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (not (and (= (tptp.k1_tarski A) (tptp.k2_xboole_0 B C)) (not (= B C)) (not (= B tptp.k1_xboole_0)) (not (= C tptp.k1_xboole_0))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.r1_tarski (tptp.k2_xboole_0 (tptp.k1_tarski A) B) B) (tptp.r2_hidden A B))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.r2_hidden A B) (= (tptp.k2_xboole_0 (tptp.k1_tarski A) B) B))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.r1_tarski (tptp.k2_xboole_0 (tptp.k2_tarski A B) C) C) (tptp.r2_hidden A C))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.r2_hidden A B) (tptp.r2_hidden C B)) (= (tptp.k2_xboole_0 (tptp.k2_tarski A C) B) B))) (forall ((A $$unsorted) (B $$unsorted)) (not (= (tptp.k2_xboole_0 (tptp.k1_tarski A) B) tptp.k1_xboole_0))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (not (= (tptp.k2_xboole_0 (tptp.k2_tarski A B) C) tptp.k1_xboole_0))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k1_tarski B))) (=> (= (tptp.k3_xboole_0 A _let_1) _let_1) (tptp.r2_hidden B A)))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k1_tarski A))) (=> (tptp.r2_hidden A B) (= (tptp.k3_xboole_0 B _let_1) _let_1)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k2_tarski A C))) (=> (and (tptp.r2_hidden A B) (tptp.r2_hidden C B)) (= (tptp.k3_xboole_0 _let_1 B) _let_1)))) (forall ((A $$unsorted) (B $$unsorted)) (not (and (tptp.r1_xboole_0 (tptp.k1_tarski A) B) (tptp.r2_hidden A B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (not (and (tptp.r1_xboole_0 (tptp.k2_tarski A B) C) (tptp.r2_hidden A C)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (not (tptp.r2_hidden A B)) (tptp.r1_xboole_0 (tptp.k1_tarski A) B))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (not (and (not (tptp.r2_hidden A B)) (not (tptp.r2_hidden C B)) (not (tptp.r1_xboole_0 (tptp.k2_tarski A C) B))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k1_tarski A))) (or (tptp.r1_xboole_0 _let_1 B) (= (tptp.k3_xboole_0 _let_1 B) _let_1)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (not (and (= (tptp.k3_xboole_0 (tptp.k2_tarski A B) C) (tptp.k1_tarski A)) (tptp.r2_hidden B C) (not (= A B))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.r2_hidden A B) (or (and (tptp.r2_hidden C B) (not (= A C))) (= (tptp.k3_xboole_0 (tptp.k2_tarski A C) B) (tptp.k1_tarski A))))) true true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k2_tarski A B))) (=> (= (tptp.k3_xboole_0 _let_1 C) _let_1) (tptp.r2_hidden A C)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.r2_hidden A (tptp.k4_xboole_0 B (tptp.k1_tarski C))) (and (tptp.r2_hidden A B) (not (= A C))))) _let_96 (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)))) _let_95 (forall ((A $$unsorted) (B $$unsorted)) (=> (forall ((C $$unsorted)) (=> (tptp.r2_hidden C A) (tptp.r1_tarski C B))) (tptp.r1_tarski (tptp.k3_tarski A) B))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.r1_tarski A B) (tptp.r1_tarski (tptp.k3_tarski A) (tptp.k3_tarski B)))) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.k3_tarski (tptp.k2_xboole_0 A B)) (tptp.k2_xboole_0 (tptp.k3_tarski A) (tptp.k3_tarski B)))) (forall ((A $$unsorted) (B $$unsorted)) (tptp.r1_tarski (tptp.k3_tarski (tptp.k3_xboole_0 A B)) (tptp.k3_xboole_0 (tptp.k3_tarski A) (tptp.k3_tarski B)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (forall ((C $$unsorted)) (=> (tptp.r2_hidden C A) (tptp.r1_xboole_0 C B))) (tptp.r1_xboole_0 (tptp.k3_tarski A) B))) (forall ((A $$unsorted)) (= (tptp.k3_tarski (tptp.k1_zfmisc_1 A)) A)) (forall ((A $$unsorted)) (tptp.r1_tarski A (tptp.k1_zfmisc_1 (tptp.k3_tarski A)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (forall ((C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k2_xboole_0 A B))) (=> (and (tptp.r2_hidden C _let_1) (tptp.r2_hidden D _let_1)) (or (= C D) (tptp.r1_xboole_0 C D))))) (= (tptp.k3_tarski (tptp.k3_xboole_0 A B)) (tptp.k3_xboole_0 (tptp.k3_tarski A) (tptp.k3_tarski B))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (not (and (tptp.r2_hidden A (tptp.k2_zfmisc_1 B C)) (forall ((D $$unsorted) (E $$unsorted)) (not (= (tptp.k4_tarski D E) A)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (not (and (tptp.r1_tarski A (tptp.k2_zfmisc_1 B C)) (tptp.r2_hidden D A) (forall ((E $$unsorted) (F $$unsorted)) (not (and (tptp.r2_hidden E B) (tptp.r2_hidden F C) (= D (tptp.k4_tarski E F)))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (not (and (tptp.r2_hidden A (tptp.k3_xboole_0 (tptp.k2_zfmisc_1 B C) (tptp.k2_zfmisc_1 D E))) (forall ((F $$unsorted) (G $$unsorted)) (not (and (= A (tptp.k4_tarski F G)) (tptp.r2_hidden F (tptp.k3_xboole_0 B D)) (tptp.r2_hidden G (tptp.k3_xboole_0 C E)))))))) (forall ((A $$unsorted) (B $$unsorted)) (tptp.r1_tarski (tptp.k2_zfmisc_1 A B) (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 (tptp.k2_xboole_0 A B))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (= (tptp.r2_hidden (tptp.k4_tarski A B) (tptp.k2_zfmisc_1 C D)) (and (tptp.r2_hidden A C) (tptp.r2_hidden B D)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (tptp.r2_hidden (tptp.k4_tarski A B) (tptp.k2_zfmisc_1 C D)) (tptp.r2_hidden (tptp.k4_tarski B A) (tptp.k2_zfmisc_1 D C)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (forall ((E $$unsorted) (F $$unsorted)) (let ((_let_1 (tptp.k4_tarski E F))) (= (tptp.r2_hidden _let_1 (tptp.k2_zfmisc_1 A B)) (tptp.r2_hidden _let_1 (tptp.k2_zfmisc_1 C D))))) (= (tptp.k2_zfmisc_1 A B) (tptp.k2_zfmisc_1 C D)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.r1_tarski A (tptp.k2_zfmisc_1 B C)) (forall ((E $$unsorted) (F $$unsorted)) (let ((_let_1 (tptp.k4_tarski E F))) (=> (tptp.r2_hidden _let_1 A) (tptp.r2_hidden _let_1 D))))) (tptp.r1_tarski A D))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted)) (=> (and (tptp.r1_tarski A (tptp.k2_zfmisc_1 B C)) (tptp.r1_tarski D (tptp.k2_zfmisc_1 E F)) (forall ((G $$unsorted) (H $$unsorted)) (let ((_let_1 (tptp.k4_tarski G H))) (= (tptp.r2_hidden _let_1 A) (tptp.r2_hidden _let_1 D))))) (= A D))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (forall ((C $$unsorted)) (not (and (tptp.r2_hidden C A) (forall ((D $$unsorted) (E $$unsorted)) (not (= C (tptp.k4_tarski D E))))))) (forall ((C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k4_tarski C D))) (=> (tptp.r2_hidden _let_1 A) (tptp.r2_hidden _let_1 B))))) (tptp.r1_tarski A B))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (forall ((C $$unsorted)) (not (and (tptp.r2_hidden C A) (forall ((D $$unsorted) (E $$unsorted)) (not (= C (tptp.k4_tarski D E))))))) (forall ((C $$unsorted)) (not (and (tptp.r2_hidden C B) (forall ((D $$unsorted) (E $$unsorted)) (not (= C (tptp.k4_tarski D E))))))) (forall ((C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k4_tarski C D))) (= (tptp.r2_hidden _let_1 A) (tptp.r2_hidden _let_1 B))))) (= A B))) (forall ((A $$unsorted) (B $$unsorted)) (= (= (tptp.k2_zfmisc_1 A B) tptp.k1_xboole_0) (or (= A tptp.k1_xboole_0) (= B tptp.k1_xboole_0)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (= (tptp.k2_zfmisc_1 A B) (tptp.k2_zfmisc_1 B A)) (or (= A tptp.k1_xboole_0) (= B tptp.k1_xboole_0) (= A B)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (= (tptp.k2_zfmisc_1 A A) (tptp.k2_zfmisc_1 B B)) (= A B))) (forall ((A $$unsorted)) (=> (tptp.r1_tarski A (tptp.k2_zfmisc_1 A A)) (= A tptp.k1_xboole_0))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (not (and (not (= A tptp.k1_xboole_0)) (or (tptp.r1_tarski (tptp.k2_zfmisc_1 B A) (tptp.k2_zfmisc_1 C A)) (tptp.r1_tarski (tptp.k2_zfmisc_1 A B) (tptp.k2_zfmisc_1 A C))) (not (tptp.r1_tarski B C))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.r1_tarski A B) (and (tptp.r1_tarski (tptp.k2_zfmisc_1 A C) (tptp.k2_zfmisc_1 B C)) (tptp.r1_tarski (tptp.k2_zfmisc_1 C A) (tptp.k2_zfmisc_1 C B))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.r1_tarski A B) (tptp.r1_tarski C D)) (tptp.r1_tarski (tptp.k2_zfmisc_1 A C) (tptp.k2_zfmisc_1 B D)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k2_xboole_0 A B))) (and (= (tptp.k2_zfmisc_1 _let_1 C) (tptp.k2_xboole_0 (tptp.k2_zfmisc_1 A C) (tptp.k2_zfmisc_1 B C))) (= (tptp.k2_zfmisc_1 C _let_1) (tptp.k2_xboole_0 (tptp.k2_zfmisc_1 C A) (tptp.k2_zfmisc_1 C B)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (= (tptp.k2_zfmisc_1 (tptp.k2_xboole_0 A B) (tptp.k2_xboole_0 C D)) (tptp.k2_xboole_0 (tptp.k2_xboole_0 (tptp.k2_xboole_0 (tptp.k2_zfmisc_1 A C) (tptp.k2_zfmisc_1 A D)) (tptp.k2_zfmisc_1 B C)) (tptp.k2_zfmisc_1 B D)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k3_xboole_0 A B))) (and (= (tptp.k2_zfmisc_1 _let_1 C) (tptp.k3_xboole_0 (tptp.k2_zfmisc_1 A C) (tptp.k2_zfmisc_1 B C))) (= (tptp.k2_zfmisc_1 C _let_1) (tptp.k3_xboole_0 (tptp.k2_zfmisc_1 C A) (tptp.k2_zfmisc_1 C B)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (= (tptp.k2_zfmisc_1 (tptp.k3_xboole_0 A B) (tptp.k3_xboole_0 C D)) (tptp.k3_xboole_0 (tptp.k2_zfmisc_1 A C) (tptp.k2_zfmisc_1 B D)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.r1_tarski A B) (tptp.r1_tarski C D)) (= (tptp.k3_xboole_0 (tptp.k2_zfmisc_1 A D) (tptp.k2_zfmisc_1 B C)) (tptp.k2_zfmisc_1 A C)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k4_xboole_0 A B))) (and (= (tptp.k2_zfmisc_1 _let_1 C) (tptp.k4_xboole_0 (tptp.k2_zfmisc_1 A C) (tptp.k2_zfmisc_1 B C))) (= (tptp.k2_zfmisc_1 C _let_1) (tptp.k4_xboole_0 (tptp.k2_zfmisc_1 C A) (tptp.k2_zfmisc_1 C B)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (= (tptp.k4_xboole_0 (tptp.k2_zfmisc_1 A B) (tptp.k2_zfmisc_1 C D)) (tptp.k2_xboole_0 (tptp.k2_zfmisc_1 (tptp.k4_xboole_0 A C) B) (tptp.k2_zfmisc_1 A (tptp.k4_xboole_0 B D))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (or (tptp.r1_xboole_0 A B) (tptp.r1_xboole_0 C D)) (tptp.r1_xboole_0 (tptp.k2_zfmisc_1 A C) (tptp.k2_zfmisc_1 B D)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (= (tptp.r2_hidden (tptp.k4_tarski A B) (tptp.k2_zfmisc_1 (tptp.k1_tarski C) D)) (and (= A C) (tptp.r2_hidden B D)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (= (tptp.r2_hidden (tptp.k4_tarski A B) (tptp.k2_zfmisc_1 C (tptp.k1_tarski D))) (and (tptp.r2_hidden A C) (= B D)))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k1_tarski B))) (=> (not (= A tptp.k1_xboole_0)) (and (not (= (tptp.k2_zfmisc_1 _let_1 A) tptp.k1_xboole_0)) (not (= (tptp.k2_zfmisc_1 A _let_1) tptp.k1_xboole_0)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k1_tarski B))) (let ((_let_2 (tptp.k1_tarski A))) (=> (not (= A B)) (and (tptp.r1_xboole_0 (tptp.k2_zfmisc_1 _let_2 C) (tptp.k2_zfmisc_1 _let_1 D)) (tptp.r1_xboole_0 (tptp.k2_zfmisc_1 C _let_2) (tptp.k2_zfmisc_1 D _let_1))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k1_tarski B))) (let ((_let_2 (tptp.k1_tarski A))) (let ((_let_3 (tptp.k2_tarski A B))) (and (= (tptp.k2_zfmisc_1 _let_3 C) (tptp.k2_xboole_0 (tptp.k2_zfmisc_1 _let_2 C) (tptp.k2_zfmisc_1 _let_1 C))) (= (tptp.k2_zfmisc_1 C _let_3) (tptp.k2_xboole_0 (tptp.k2_zfmisc_1 C _let_2) (tptp.k2_zfmisc_1 C _let_1)))))))) true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (= (tptp.k2_zfmisc_1 A B) (tptp.k2_zfmisc_1 C D)) (or (= A tptp.k1_xboole_0) (= B tptp.k1_xboole_0) (and (= A C) (= B D))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (or (tptp.r1_tarski A (tptp.k2_zfmisc_1 A B)) (tptp.r1_tarski A (tptp.k2_zfmisc_1 B A))) (= A tptp.k1_xboole_0))) (forall ((A $$unsorted)) (exists ((B $$unsorted)) (and (tptp.r2_hidden A B) (forall ((C $$unsorted) (D $$unsorted)) (=> (and (tptp.r2_hidden C B) (tptp.r1_tarski D C)) (tptp.r2_hidden D B))) (forall ((C $$unsorted)) (=> (tptp.r2_hidden C B) (tptp.r2_hidden (tptp.k1_zfmisc_1 C) B))) (forall ((C $$unsorted)) (not (and (tptp.r1_tarski C B) (not (tptp.r2_tarski C B)) (not (tptp.r2_hidden C B)))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (=> (and (tptp.r2_hidden A (tptp.k2_zfmisc_1 B C)) (tptp.r2_hidden A (tptp.k2_zfmisc_1 D E))) (tptp.r2_hidden A (tptp.k2_zfmisc_1 (tptp.k3_xboole_0 B D) (tptp.k3_xboole_0 C E))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A B))) (=> (tptp.r1_tarski _let_1 (tptp.k2_zfmisc_1 C D)) (or (= _let_1 tptp.k1_xboole_0) (and (tptp.r1_tarski A C) (tptp.r1_tarski B D)))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (or (tptp.r1_tarski (tptp.k2_zfmisc_1 A B) (tptp.k2_zfmisc_1 C D)) (tptp.r1_tarski (tptp.k2_zfmisc_1 B A) (tptp.k2_zfmisc_1 D C))) (tptp.r1_tarski B D))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k1_tarski A))) (=> (tptp.r2_hidden A B) (= (tptp.k2_xboole_0 (tptp.k4_xboole_0 B _let_1) _let_1) B)))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k1_tarski A))) (=> (not (tptp.r2_hidden A B)) (= (tptp.k4_xboole_0 (tptp.k2_xboole_0 B _let_1) _let_1) B)))) true true true true (forall ((A $$unsorted)) (not (tptp.v1_xboole_0 (tptp.k1_zfmisc_1 A)))) (forall ((A $$unsorted)) (not (tptp.v1_xboole_0 (tptp.k1_tarski A)))) (forall ((A $$unsorted) (B $$unsorted)) (not (tptp.v1_xboole_0 (tptp.k2_tarski A B)))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (exists ((B $$unsorted)) (and (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (not (tptp.v1_xboole_0 B)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (not (tptp.v1_xboole_0 B))) (not (tptp.v1_xboole_0 (tptp.k2_zfmisc_1 A B))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (not (tptp.v1_xboole_0 B)) (not (tptp.v1_xboole_0 C))) (not (tptp.v1_xboole_0 (tptp.k3_zfmisc_1 A B C))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (not (tptp.v1_xboole_0 B)) (not (tptp.v1_xboole_0 C)) (not (tptp.v1_xboole_0 D))) (not (tptp.v1_xboole_0 (tptp.k4_zfmisc_1 A B C D))))) (forall ((A $$unsorted)) (exists ((B $$unsorted)) (and (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (tptp.v1_xboole_0 B)))) true (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.m1_subset_1 B A))) (let ((_let_2 (tptp.v1_xboole_0 A))) (and (=> (not _let_2) (= _let_1 (tptp.r2_hidden B A))) (=> _let_2 (= _let_1 (tptp.v1_xboole_0 B))))))) _let_94 _let_93 true true true (forall ((A $$unsorted)) (tptp.m1_subset_1 tptp.k1_xboole_0 (tptp.k1_zfmisc_1 A))) true true (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 A)) (=> (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D A) (=> (tptp.r2_hidden D B) (tptp.r2_hidden D C)))) (tptp.r1_tarski B C)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 A)) (=> (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D A) (= (tptp.r2_hidden D B) (tptp.r2_hidden D C)))) (= B C)))))) true (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (not (and (not (= B tptp.k1_xboole_0)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C A) (not (tptp.r2_hidden C B)))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (= (tptp.k3_subset_1 A B) (tptp.k4_xboole_0 A B)))) true true true true (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 A)) (=> (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E A) (= (tptp.r2_hidden E B) (or (tptp.r2_hidden E C) (tptp.r2_hidden E D))))) (= B (tptp.k4_subset_1 A C D))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 A)) (=> (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E A) (= (tptp.r2_hidden E B) (and (tptp.r2_hidden E C) (tptp.r2_hidden E D))))) (= B (tptp.k5_subset_1 A C D))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 A)) (=> (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E A) (= (tptp.r2_hidden E B) (and (tptp.r2_hidden E C) (not (tptp.r2_hidden E D)))))) (= B (tptp.k6_subset_1 A C D))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 A)) (=> (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E A) (= (tptp.r2_hidden E B) (not (= (tptp.r2_hidden E C) (tptp.r2_hidden E D)))))) (= B (tptp.k7_subset_1 A C D))))))))) true true (forall ((A $$unsorted)) (= (tptp.k1_subset_1 A) (tptp.k3_subset_1 A (tptp.k2_subset_1 A)))) (forall ((A $$unsorted)) (= (tptp.k2_subset_1 A) (tptp.k3_subset_1 A (tptp.k1_subset_1 A)))) true true (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (= (tptp.k4_subset_1 A B (tptp.k3_subset_1 A B)) (tptp.k2_subset_1 A)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (tptp.r1_xboole_0 B (tptp.k3_subset_1 A B)))) true (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k2_subset_1 A))) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (= (tptp.k4_subset_1 A B _let_1) _let_1)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 A)) (= (tptp.k3_subset_1 A (tptp.k4_subset_1 A B C)) (tptp.k5_subset_1 A (tptp.k3_subset_1 A B) (tptp.k3_subset_1 A C))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 A)) (= (tptp.k3_subset_1 A (tptp.k5_subset_1 A B C)) (tptp.k4_subset_1 A (tptp.k3_subset_1 A B) (tptp.k3_subset_1 A C))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 A)) (= (tptp.r1_tarski B C) (tptp.r1_tarski (tptp.k3_subset_1 A C) (tptp.k3_subset_1 A B))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 A)) (= (tptp.k6_subset_1 A B C) (tptp.k5_subset_1 A B (tptp.k3_subset_1 A C))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 A)) (= (tptp.k3_subset_1 A (tptp.k6_subset_1 A B C)) (tptp.k4_subset_1 A (tptp.k3_subset_1 A B) C)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 A)) (= (tptp.k3_subset_1 A (tptp.k7_subset_1 A B C)) (tptp.k4_subset_1 A (tptp.k5_subset_1 A B C) (tptp.k5_subset_1 A (tptp.k3_subset_1 A B) (tptp.k3_subset_1 A C)))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 A)) (=> (tptp.r1_tarski B (tptp.k3_subset_1 A C)) (tptp.r1_tarski C (tptp.k3_subset_1 A B))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 A)) (=> (tptp.r1_tarski (tptp.k3_subset_1 A B) C) (tptp.r1_tarski (tptp.k3_subset_1 A C) B)))))) true (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (= (tptp.r1_tarski B (tptp.k3_subset_1 A B)) (= B (tptp.k1_subset_1 A))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (= (tptp.r1_tarski (tptp.k3_subset_1 A B) B) (= B (tptp.k2_subset_1 A))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 A)) (=> (and (tptp.r1_tarski B C) (tptp.r1_tarski B (tptp.k3_subset_1 A C))) (= B tptp.k1_xboole_0)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 A)) (tptp.r1_tarski (tptp.k3_subset_1 A (tptp.k4_subset_1 A B C)) (tptp.k3_subset_1 A B)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 A)) (tptp.r1_tarski (tptp.k3_subset_1 A B) (tptp.k3_subset_1 A (tptp.k5_subset_1 A B C))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 A)) (= (tptp.r1_xboole_0 B C) (tptp.r1_tarski B (tptp.k3_subset_1 A C))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 A)) (= (tptp.r1_xboole_0 B (tptp.k3_subset_1 A C)) (tptp.r1_tarski B C)))))) true (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k3_subset_1 A C))) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 A)) (=> (and (tptp.r1_xboole_0 B C) (tptp.r1_xboole_0 (tptp.k3_subset_1 A B) _let_1)) (= B _let_1))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 A)) (=> (and (tptp.r1_tarski B C) (tptp.r1_xboole_0 D C)) (tptp.r1_tarski B (tptp.k3_subset_1 A D))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 A)) (=> (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D B) (tptp.r2_hidden D C))) (tptp.r1_tarski B C)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (=> (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C A) (tptp.r2_hidden C B))) (= A B)))) (forall ((A $$unsorted)) (=> (not (= A tptp.k1_xboole_0)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C A) (=> (not (tptp.r2_hidden C B)) (tptp.r2_hidden C (tptp.k3_subset_1 A B))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 A)) (=> (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D A) (= (tptp.r2_hidden D B) (not (tptp.r2_hidden D C))))) (= B (tptp.k3_subset_1 A C))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 A)) (=> (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D A) (= (not (tptp.r2_hidden D B)) (tptp.r2_hidden D C)))) (= B (tptp.k3_subset_1 A C))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 A)) (=> (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D A) (not (= (tptp.r2_hidden D B) (tptp.r2_hidden D C))))) (= B (tptp.k3_subset_1 A C))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 A)) (not (and (tptp.r2_hidden B (tptp.k3_subset_1 A C)) (tptp.r2_hidden B C))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B A) (=> (not (= A tptp.k1_xboole_0)) (tptp.m1_subset_1 (tptp.k1_tarski B) (tptp.k1_zfmisc_1 A))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C A) (=> (not (= A tptp.k1_xboole_0)) (tptp.m1_subset_1 (tptp.k2_tarski B C) (tptp.k1_zfmisc_1 A))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C A) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D A) (=> (not (= A tptp.k1_xboole_0)) (tptp.m1_subset_1 (tptp.k1_enumset1 B C D) (tptp.k1_zfmisc_1 A))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C A) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D A) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E A) (=> (not (= A tptp.k1_xboole_0)) (tptp.m1_subset_1 (tptp.k2_enumset1 B C D E) (tptp.k1_zfmisc_1 A))))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C A) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D A) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E A) (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F A) (=> (not (= A tptp.k1_xboole_0)) (tptp.m1_subset_1 (tptp.k3_enumset1 B C D E F) (tptp.k1_zfmisc_1 A))))))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C A) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D A) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E A) (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F A) (forall ((G $$unsorted)) (=> (tptp.m1_subset_1 G A) (=> (not (= A tptp.k1_xboole_0)) (tptp.m1_subset_1 (tptp.k4_enumset1 B C D E F G) (tptp.k1_zfmisc_1 A))))))))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C A) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D A) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E A) (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F A) (forall ((G $$unsorted)) (=> (tptp.m1_subset_1 G A) (forall ((H $$unsorted)) (=> (tptp.m1_subset_1 H A) (=> (not (= A tptp.k1_xboole_0)) (tptp.m1_subset_1 (tptp.k5_enumset1 B C D E F G H) (tptp.k1_zfmisc_1 A))))))))))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C A) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D A) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E A) (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F A) (forall ((G $$unsorted)) (=> (tptp.m1_subset_1 G A) (forall ((H $$unsorted)) (=> (tptp.m1_subset_1 H A) (forall ((I $$unsorted)) (=> (tptp.m1_subset_1 I A) (=> (not (= A tptp.k1_xboole_0)) (tptp.m1_subset_1 (tptp.k6_enumset1 B C D E F G H I) (tptp.k1_zfmisc_1 A))))))))))))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.r2_hidden A B) (tptp.m1_subset_1 (tptp.k1_tarski A) (tptp.k1_zfmisc_1 B)))) (forall ((A $$unsorted)) (=> (not true) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B A) (= B (tptp.k8_subset_1 A)))))) (exists ((A $$unsorted)) (and (tptp.m1_subset_1 A (tptp.k1_zfmisc_1 tptp.f1_s1_subset_1)) (forall ((B $$unsorted)) (= (tptp.r2_hidden B A) (and (tptp.r2_hidden B tptp.f1_s1_subset_1) (tptp.p1_s1_subset_1 B)))))) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A (tptp.k1_zfmisc_1 tptp.f1_s2_subset_1)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 tptp.f1_s2_subset_1)) (=> (and (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C tptp.f1_s2_subset_1) (= (tptp.r2_hidden C A) (tptp.p1_s2_subset_1 C)))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C tptp.f1_s2_subset_1) (= (tptp.r2_hidden C B) (tptp.p1_s2_subset_1 C))))) (= A B)))))) (exists ((A $$unsorted)) (and (tptp.m1_subset_1 A (tptp.k1_zfmisc_1 tptp.f1_s3_subset_1)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.f1_s3_subset_1) (= (tptp.r2_hidden B A) (tptp.p1_s3_subset_1 B)))))) (=> (and (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.f1_s4_subset_1) (= (tptp.r2_hidden A tptp.f2_s4_subset_1) (tptp.p1_s4_subset_1 A)))) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.f1_s4_subset_1) (= (tptp.r2_hidden A tptp.f3_s4_subset_1) (tptp.p1_s4_subset_1 A))))) (= tptp.f2_s4_subset_1 tptp.f3_s4_subset_1)) true (forall ((A $$unsorted)) (exists ((B $$unsorted)) (tptp.m1_subset_1 B A))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (not (tptp.v1_xboole_0 B)) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A))) (forall ((C $$unsorted)) (=> (tptp.m2_subset_1 C A B) (tptp.m1_subset_1 C A))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (not (tptp.v1_xboole_0 B)) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A))) (exists ((C $$unsorted)) (tptp.m2_subset_1 C A B)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (not (tptp.v1_xboole_0 B)) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A))) (forall ((C $$unsorted)) (= (tptp.m2_subset_1 C A B) (tptp.m1_subset_1 C B))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (not (tptp.v1_xboole_0 B))) (=> (tptp.r1_subset_1 A B) (tptp.r1_subset_1 B A)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (not (tptp.v1_xboole_0 B))) (not (tptp.r1_subset_1 A A)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (not (tptp.v1_xboole_0 B))) (= (tptp.r1_subset_1 A B) (tptp.r1_xboole_0 A B)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (not (tptp.v1_xboole_0 B))) (=> (tptp.r2_subset_1 A B) (tptp.r2_subset_1 B A)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (not (tptp.v1_xboole_0 B))) (not (tptp.r2_subset_1 A A)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (not (tptp.v1_xboole_0 B))) (= (tptp.r2_subset_1 A B) (tptp.r1_xboole_0 A B)))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k1_subset_1 A))) (and (tptp.v1_xboole_0 _let_1) (tptp.m1_subset_1 _let_1 (tptp.k1_zfmisc_1 A))))) (forall ((A $$unsorted)) (tptp.m1_subset_1 (tptp.k2_subset_1 A) (tptp.k1_zfmisc_1 A))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 A))) (=> (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 (tptp.k3_subset_1 A B) _let_1)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (= (tptp.k3_subset_1 A (tptp.k3_subset_1 A B)) B))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 A))) (=> (and (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (tptp.m1_subset_1 (tptp.k4_subset_1 A B C) _let_1)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 A))) (=> (and (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (= (tptp.k4_subset_1 A B C) (tptp.k4_subset_1 A C B))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 A))) (=> (and (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (= (tptp.k4_subset_1 A B B) B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 A))) (=> (and (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (= (tptp.k4_subset_1 A B C) (tptp.k2_xboole_0 B C))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 A))) (=> (and (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (tptp.m1_subset_1 (tptp.k5_subset_1 A B C) _let_1)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 A))) (=> (and (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (= (tptp.k5_subset_1 A B C) (tptp.k5_subset_1 A C B))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 A))) (=> (and (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (= (tptp.k5_subset_1 A B B) B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 A))) (=> (and (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (= (tptp.k5_subset_1 A B C) (tptp.k3_xboole_0 B C))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 A))) (=> (and (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (tptp.m1_subset_1 (tptp.k6_subset_1 A B C) _let_1)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 A))) (=> (and (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (= (tptp.k6_subset_1 A B C) (tptp.k4_xboole_0 B C))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 A))) (=> (and (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (tptp.m1_subset_1 (tptp.k7_subset_1 A B C) _let_1)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 A))) (=> (and (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (= (tptp.k7_subset_1 A B C) (tptp.k7_subset_1 A C B))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 A))) (=> (and (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (= (tptp.k7_subset_1 A B C) (tptp.k5_xboole_0 B C))))) (forall ((A $$unsorted)) (tptp.m1_subset_1 (tptp.k8_subset_1 A) A)) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_xboole_0 B) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 A)))) (tptp.v1_xboole_0 (tptp.k7_setfam_1 A B)))) (exists ((A $$unsorted)) (and (not (tptp.v1_xboole_0 A)) (tptp.v1_setfam_1 A))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k1_tarski A))) (=> (not (tptp.v1_xboole_0 A)) (and (not (tptp.v1_xboole_0 _let_1)) (tptp.v1_setfam_1 _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k2_tarski A B))) (=> (and (not (tptp.v1_xboole_0 A)) (not (tptp.v1_xboole_0 B))) (and (not (tptp.v1_xboole_0 _let_1)) (tptp.v1_setfam_1 _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_setfam_1 A) (tptp.v1_setfam_1 B)) (tptp.v1_setfam_1 (tptp.k2_xboole_0 A B)))) (forall ((A $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v1_setfam_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B A) (not (tptp.v1_xboole_0 B)))))) (exists ((A $$unsorted)) (not (tptp.v2_setfam_1 A))) (forall ((A $$unsorted)) (=> (not (tptp.v2_setfam_1 A)) (not (tptp.v1_xboole_0 A)))) (forall ((A $$unsorted)) (=> (not (tptp.v2_setfam_1 A)) (exists ((B $$unsorted)) (and (tptp.m1_subset_1 B A) (not (tptp.v1_xboole_0 B)))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (= B (tptp.k1_setfam_1 A)))) (let ((_let_2 (= A tptp.k1_xboole_0))) (and (=> (not _let_2) (= _let_1 (forall ((C $$unsorted)) (= (tptp.r2_hidden C B) (forall ((D $$unsorted)) (=> (tptp.r2_hidden D A) (tptp.r2_hidden C D))))))) (=> _let_2 (= _let_1 (= B tptp.k1_xboole_0))))))) true (= (tptp.k1_setfam_1 tptp.k1_xboole_0) tptp.k1_xboole_0) (forall ((A $$unsorted)) (tptp.r1_tarski (tptp.k1_setfam_1 A) (tptp.k3_tarski A))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.r2_hidden A B) (tptp.r1_tarski (tptp.k1_setfam_1 B) A))) (forall ((A $$unsorted)) (=> (tptp.r2_hidden tptp.k1_xboole_0 A) (= (tptp.k1_setfam_1 A) tptp.k1_xboole_0))) (forall ((A $$unsorted) (B $$unsorted)) (=> (forall ((C $$unsorted)) (=> (tptp.r2_hidden C A) (tptp.r1_tarski B C))) (or (= A tptp.k1_xboole_0) (tptp.r1_tarski B (tptp.k1_setfam_1 A))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.r1_tarski A B) (or (= A tptp.k1_xboole_0) (tptp.r1_tarski (tptp.k1_setfam_1 B) (tptp.k1_setfam_1 A))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.r2_hidden A B) (tptp.r1_tarski A C)) (tptp.r1_tarski (tptp.k1_setfam_1 B) C))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.r2_hidden A B) (tptp.r1_xboole_0 A C)) (tptp.r1_xboole_0 (tptp.k1_setfam_1 B) C))) (forall ((A $$unsorted) (B $$unsorted)) (not (and (not (= A tptp.k1_xboole_0)) (not (= B tptp.k1_xboole_0)) (not (= (tptp.k1_setfam_1 (tptp.k2_xboole_0 A B)) (tptp.k3_xboole_0 (tptp.k1_setfam_1 A) (tptp.k1_setfam_1 B))))))) (forall ((A $$unsorted)) (= (tptp.k1_setfam_1 (tptp.k1_tarski A)) A)) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.k1_setfam_1 (tptp.k2_tarski A B)) (tptp.k3_xboole_0 A B))) _let_92 _let_91 true true true true (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.r1_tarski A B) (tptp.r1_setfam_1 A B))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.r1_setfam_1 A B) (tptp.r1_tarski (tptp.k3_tarski A) (tptp.k3_tarski B)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.r2_setfam_1 B A) (or (= A tptp.k1_xboole_0) (tptp.r1_tarski (tptp.k1_setfam_1 B) (tptp.k1_setfam_1 A))))) (forall ((A $$unsorted)) (tptp.r1_setfam_1 tptp.k1_xboole_0 A)) (forall ((A $$unsorted)) (=> (tptp.r1_setfam_1 A tptp.k1_xboole_0) (= A tptp.k1_xboole_0))) true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.r1_setfam_1 A B) (tptp.r1_setfam_1 B C)) (tptp.r1_setfam_1 A C))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.r1_setfam_1 B (tptp.k1_tarski A)) (forall ((C $$unsorted)) (=> (tptp.r2_hidden C B) (tptp.r1_tarski C A))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.r1_setfam_1 C (tptp.k2_tarski A B)) (forall ((D $$unsorted)) (not (and (tptp.r2_hidden D C) (not (tptp.r1_tarski D A)) (not (tptp.r1_tarski D B))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (= C (tptp.k2_setfam_1 A B)) (forall ((D $$unsorted)) (= (tptp.r2_hidden D C) (exists ((E $$unsorted) (F $$unsorted)) (and (tptp.r2_hidden E A) (tptp.r2_hidden F B) (= D (tptp.k2_xboole_0 E F)))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (= C (tptp.k3_setfam_1 A B)) (forall ((D $$unsorted)) (= (tptp.r2_hidden D C) (exists ((E $$unsorted) (F $$unsorted)) (and (tptp.r2_hidden E A) (tptp.r2_hidden F B) (= D (tptp.k3_xboole_0 E F)))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (= C (tptp.k4_setfam_1 A B)) (forall ((D $$unsorted)) (= (tptp.r2_hidden D C) (exists ((E $$unsorted) (F $$unsorted)) (and (tptp.r2_hidden E A) (tptp.r2_hidden F B) (= D (tptp.k4_xboole_0 E F)))))))) true true true (forall ((A $$unsorted)) (tptp.r1_setfam_1 A (tptp.k2_setfam_1 A A))) (forall ((A $$unsorted)) (tptp.r1_setfam_1 (tptp.k3_setfam_1 A A) A)) (forall ((A $$unsorted)) (tptp.r1_setfam_1 (tptp.k4_setfam_1 A A) A)) true true (forall ((A $$unsorted) (B $$unsorted)) (=> (not (tptp.r1_xboole_0 A B)) (= (tptp.k3_xboole_0 (tptp.k1_setfam_1 A) (tptp.k1_setfam_1 B)) (tptp.k1_setfam_1 (tptp.k3_setfam_1 A B))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (not (= B tptp.k1_xboole_0)) (= (tptp.k2_xboole_0 A (tptp.k1_setfam_1 B)) (tptp.k1_setfam_1 (tptp.k2_setfam_1 (tptp.k1_tarski A) B))))) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.k3_xboole_0 A (tptp.k3_tarski B)) (tptp.k3_tarski (tptp.k3_setfam_1 (tptp.k1_tarski A) B)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (not (= B tptp.k1_xboole_0)) (= (tptp.k4_xboole_0 A (tptp.k3_tarski B)) (tptp.k1_setfam_1 (tptp.k4_setfam_1 (tptp.k1_tarski A) B))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (not (= B tptp.k1_xboole_0)) (= (tptp.k4_xboole_0 A (tptp.k1_setfam_1 B)) (tptp.k3_tarski (tptp.k4_setfam_1 (tptp.k1_tarski A) B))))) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.k3_tarski (tptp.k3_setfam_1 A B)) (tptp.k3_xboole_0 (tptp.k3_tarski A) (tptp.k3_tarski B)))) (forall ((A $$unsorted) (B $$unsorted)) (not (and (not (= A tptp.k1_xboole_0)) (not (= B tptp.k1_xboole_0)) (not (tptp.r1_tarski (tptp.k2_xboole_0 (tptp.k1_setfam_1 A) (tptp.k1_setfam_1 B)) (tptp.k1_setfam_1 (tptp.k2_setfam_1 A B))))))) (forall ((A $$unsorted) (B $$unsorted)) (tptp.r1_tarski (tptp.k1_setfam_1 (tptp.k4_setfam_1 A B)) (tptp.k4_xboole_0 (tptp.k1_setfam_1 A) (tptp.k1_setfam_1 B)))) true true (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 A))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 A))) (=> (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 A)) (= (tptp.r2_hidden D B) (tptp.r2_hidden D C)))) (= B C)))))) true (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 A))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 A))) (= (= C (tptp.k7_setfam_1 A B)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 A)) (= (tptp.r2_hidden D C) (tptp.r2_hidden (tptp.k3_subset_1 A D) B))))))))) true (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 A))) (not (and (not (= B tptp.k1_xboole_0)) (= (tptp.k7_setfam_1 A B) tptp.k1_xboole_0))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 A))) (=> (not (= B tptp.k1_xboole_0)) (= (tptp.k6_subset_1 A (tptp.k2_subset_1 A) (tptp.k5_setfam_1 A B)) (tptp.k6_setfam_1 A (tptp.k7_setfam_1 A B)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 A))) (=> (not (= B tptp.k1_xboole_0)) (= (tptp.k5_setfam_1 A (tptp.k7_setfam_1 A B)) (tptp.k6_subset_1 A (tptp.k2_subset_1 A) (tptp.k6_setfam_1 A B)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 A))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 A)) (= (tptp.r2_hidden (tptp.k3_subset_1 A C) (tptp.k7_setfam_1 A B)) (tptp.r2_hidden C B)))))) true (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 A))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 A))) (=> (tptp.r1_tarski (tptp.k7_setfam_1 A B) (tptp.k7_setfam_1 A C)) (tptp.r1_tarski B C)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 A))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 A))) (= (tptp.r1_tarski (tptp.k7_setfam_1 A B) C) (tptp.r1_tarski B (tptp.k7_setfam_1 A C))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 A))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 A))) (=> (= (tptp.k7_setfam_1 A B) (tptp.k7_setfam_1 A C)) (= B C)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 A))) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 A))) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 _let_1)) (= (tptp.k7_setfam_1 A (tptp.k4_subset_1 _let_1 B C)) (tptp.k4_subset_1 _let_1 (tptp.k7_setfam_1 A B) (tptp.k7_setfam_1 A C)))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 A))) (=> (= B (tptp.k1_tarski A)) (= (tptp.k7_setfam_1 A B) (tptp.k1_tarski tptp.k1_xboole_0))))) _let_90 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.r1_tarski (tptp.k3_tarski A) B) (tptp.r2_hidden C A)) (tptp.r1_tarski C B))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.r1_tarski C (tptp.k3_tarski (tptp.k2_xboole_0 A B))) (forall ((D $$unsorted)) (=> (tptp.r2_hidden D B) (tptp.r1_xboole_0 D C)))) (tptp.r1_tarski C (tptp.k3_tarski A)))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k8_setfam_1 A B))) (let ((_let_2 (= B tptp.k1_xboole_0))) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 A))) (and (=> (not _let_2) (= _let_1 (tptp.k6_setfam_1 A B))) (=> _let_2 (= _let_1 A))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 A))) (=> (tptp.r2_hidden B A) (= (tptp.r2_hidden B (tptp.k8_setfam_1 A C)) (forall ((D $$unsorted)) (=> (tptp.r2_hidden D C) (tptp.r2_hidden B D))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 A))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 A))) (=> (tptp.r1_tarski B C) (tptp.r1_tarski (tptp.k8_setfam_1 A C) (tptp.k8_setfam_1 A B))))))) _let_89 (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_36 _let_23) (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_36 _let_23 _let_35) (exists ((A $$unsorted)) (and (tptp.v1_relat_1 A) (tptp.v3_relat_1 A))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k7_relat_1 A B))) (=> (and (tptp.v1_relat_1 A) (tptp.v3_relat_1 A)) (and (tptp.v1_relat_1 _let_1) (tptp.v3_relat_1 _let_1))))) _let_88 true true (forall ((A $$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 $$unsorted)) (not (tptp.r2_hidden (tptp.k4_tarski B C) A))) (= A tptp.k1_xboole_0)))) true true true (and (= (tptp.k1_relat_1 tptp.k1_xboole_0) tptp.k1_xboole_0) _let_77) true (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (and (= (tptp.k5_relat_1 tptp.k1_xboole_0 A) tptp.k1_xboole_0) (= (tptp.k5_relat_1 A tptp.k1_xboole_0) tptp.k1_xboole_0)))) true (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (=> (or (= (tptp.k1_relat_1 A) tptp.k1_xboole_0) (= (tptp.k2_relat_1 A) tptp.k1_xboole_0)) (= A tptp.k1_xboole_0)))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (= (= (tptp.k1_relat_1 A) tptp.k1_xboole_0) (= (tptp.k2_relat_1 A) tptp.k1_xboole_0)))) (= (tptp.k4_relat_1 tptp.k1_xboole_0) tptp.k1_xboole_0) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (forall ((B $$unsorted)) (=> (tptp.v1_relat_1 B) (=> (tptp.r1_xboole_0 (tptp.k2_relat_1 A) (tptp.k1_relat_1 B)) (= (tptp.k5_relat_1 A B) tptp.k1_xboole_0)))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (= (tptp.v2_relat_1 A) (not (tptp.r2_hidden tptp.k1_xboole_0 (tptp.k2_relat_1 A)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.v1_relat_1 B) (= (= B (tptp.k6_relat_1 A)) (forall ((C $$unsorted) (D $$unsorted)) (= (tptp.r2_hidden (tptp.k4_tarski C D) B) (and (tptp.r2_hidden C A) (= C D))))))) true true true (forall ((A $$unsorted)) (let ((_let_1 (tptp.k6_relat_1 A))) (and (= (tptp.k1_relat_1 _let_1) A) (= (tptp.k2_relat_1 _let_1) A)))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k6_relat_1 A))) (= (tptp.k4_relat_1 _let_1) _let_1))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.v1_relat_1 B) (=> (forall ((C $$unsorted)) (=> (tptp.r2_hidden C A) (tptp.r2_hidden (tptp.k4_tarski C C) B))) (tptp.r1_tarski (tptp.k6_relat_1 A) B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k4_tarski A B))) (=> (tptp.v1_relat_1 D) (= (tptp.r2_hidden _let_1 (tptp.k5_relat_1 (tptp.k6_relat_1 C) D)) (and (tptp.r2_hidden A C) (tptp.r2_hidden _let_1 D)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k4_tarski A B))) (=> (tptp.v1_relat_1 D) (= (tptp.r2_hidden _let_1 (tptp.k5_relat_1 D (tptp.k6_relat_1 C))) (and (tptp.r2_hidden B C) (tptp.r2_hidden _let_1 D)))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k6_relat_1 A))) (=> (tptp.v1_relat_1 B) (and (tptp.r1_tarski (tptp.k5_relat_1 B _let_1) B) (tptp.r1_tarski (tptp.k5_relat_1 _let_1 B) B))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.v1_relat_1 B) (=> (tptp.r1_tarski (tptp.k1_relat_1 B) A) (= (tptp.k5_relat_1 (tptp.k6_relat_1 A) B) B)))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (= (tptp.k5_relat_1 (tptp.k6_relat_1 (tptp.k1_relat_1 A)) A) A))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.v1_relat_1 B) (=> (tptp.r1_tarski (tptp.k2_relat_1 B) A) (= (tptp.k5_relat_1 B (tptp.k6_relat_1 A)) B)))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (= (tptp.k5_relat_1 A (tptp.k6_relat_1 (tptp.k2_relat_1 A))) A))) (= (tptp.k6_relat_1 tptp.k1_xboole_0) tptp.k1_xboole_0) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.v1_relat_1 B) (forall ((C $$unsorted)) (=> (tptp.v1_relat_1 C) (forall ((D $$unsorted)) (=> (tptp.v1_relat_1 D) (=> (and (= (tptp.k1_relat_1 B) A) (tptp.r1_tarski (tptp.k2_relat_1 C) A) (= (tptp.k5_relat_1 C B) (tptp.k6_relat_1 (tptp.k1_relat_1 D))) (= (tptp.k5_relat_1 B D) (tptp.k6_relat_1 A))) (= D C)))))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (forall ((B $$unsorted) (C $$unsorted)) (=> (tptp.v1_relat_1 C) (= (= C (tptp.k7_relat_1 A B)) (forall ((D $$unsorted) (E $$unsorted)) (let ((_let_1 (tptp.k4_tarski D E))) (= (tptp.r2_hidden _let_1 C) (and (tptp.r2_hidden D B) (tptp.r2_hidden _let_1 A)))))))))) true true true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.v1_relat_1 C) (= (tptp.r2_hidden A (tptp.k1_relat_1 (tptp.k7_relat_1 C B))) (and (tptp.r2_hidden A B) (tptp.r2_hidden A (tptp.k1_relat_1 C)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.v1_relat_1 B) (tptp.r1_tarski (tptp.k1_relat_1 (tptp.k7_relat_1 B A)) A))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.v1_relat_1 B) (tptp.r1_tarski (tptp.k7_relat_1 B A) B))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.v1_relat_1 B) (tptp.r1_tarski (tptp.k1_relat_1 (tptp.k7_relat_1 B A)) (tptp.k1_relat_1 B)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.v1_relat_1 B) (= (tptp.k1_relat_1 (tptp.k7_relat_1 B A)) (tptp.k3_xboole_0 (tptp.k1_relat_1 B) A)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.v1_relat_1 B) (=> (tptp.r1_tarski A (tptp.k1_relat_1 B)) (= (tptp.k1_relat_1 (tptp.k7_relat_1 B A)) A)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.v1_relat_1 B) (forall ((C $$unsorted)) (=> (tptp.v1_relat_1 C) (tptp.r1_tarski (tptp.k5_relat_1 (tptp.k7_relat_1 B A) C) (tptp.k5_relat_1 B C)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.v1_relat_1 B) (forall ((C $$unsorted)) (=> (tptp.v1_relat_1 C) (tptp.r1_tarski (tptp.k5_relat_1 B (tptp.k7_relat_1 C A)) (tptp.k5_relat_1 B C)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.v1_relat_1 B) (= (tptp.k7_relat_1 B A) (tptp.k5_relat_1 (tptp.k6_relat_1 A) B)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.v1_relat_1 B) (= (= (tptp.k7_relat_1 B A) tptp.k1_xboole_0) (tptp.r1_xboole_0 (tptp.k1_relat_1 B) A)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.v1_relat_1 B) (= (tptp.k7_relat_1 B A) (tptp.k3_xboole_0 B (tptp.k2_zfmisc_1 A (tptp.k2_relat_1 B)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.v1_relat_1 B) (=> (tptp.r1_tarski (tptp.k1_relat_1 B) A) (= (tptp.k7_relat_1 B A) B)))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (= (tptp.k7_relat_1 A (tptp.k1_relat_1 A)) A))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.v1_relat_1 B) (tptp.r1_tarski (tptp.k2_relat_1 (tptp.k7_relat_1 B A)) (tptp.k2_relat_1 B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.v1_relat_1 C) (= (tptp.k7_relat_1 (tptp.k7_relat_1 C A) B) (tptp.k7_relat_1 C (tptp.k3_xboole_0 A B))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k7_relat_1 B A))) (=> (tptp.v1_relat_1 B) (= (tptp.k7_relat_1 _let_1 A) _let_1)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k7_relat_1 C A))) (=> (tptp.v1_relat_1 C) (=> (tptp.r1_tarski A B) (= (tptp.k7_relat_1 _let_1 B) _let_1))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.v1_relat_1 C) (=> (tptp.r1_tarski A B) (= (tptp.k7_relat_1 (tptp.k7_relat_1 C B) A) (tptp.k7_relat_1 C A))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.v1_relat_1 C) (=> (tptp.r1_tarski A B) (tptp.r1_tarski (tptp.k7_relat_1 C A) (tptp.k7_relat_1 C B))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.v1_relat_1 B) (forall ((C $$unsorted)) (=> (tptp.v1_relat_1 C) (=> (tptp.r1_tarski B C) (tptp.r1_tarski (tptp.k7_relat_1 B A) (tptp.k7_relat_1 C A))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.v1_relat_1 C) (forall ((D $$unsorted)) (=> (tptp.v1_relat_1 D) (=> (and (tptp.r1_tarski C D) (tptp.r1_tarski A B)) (tptp.r1_tarski (tptp.k7_relat_1 C A) (tptp.k7_relat_1 D B))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.v1_relat_1 C) (= (tptp.k7_relat_1 C (tptp.k2_xboole_0 A B)) (tptp.k2_xboole_0 (tptp.k7_relat_1 C A) (tptp.k7_relat_1 C B))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.v1_relat_1 C) (= (tptp.k7_relat_1 C (tptp.k3_xboole_0 A B)) (tptp.k3_xboole_0 (tptp.k7_relat_1 C A) (tptp.k7_relat_1 C B))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.v1_relat_1 C) (= (tptp.k7_relat_1 C (tptp.k4_xboole_0 A B)) (tptp.k4_xboole_0 (tptp.k7_relat_1 C A) (tptp.k7_relat_1 C B))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (= (tptp.k7_relat_1 A tptp.k1_xboole_0) tptp.k1_xboole_0))) (forall ((A $$unsorted)) (= (tptp.k7_relat_1 tptp.k1_xboole_0 A) tptp.k1_xboole_0)) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.v1_relat_1 B) (forall ((C $$unsorted)) (=> (tptp.v1_relat_1 C) (= (tptp.k7_relat_1 (tptp.k5_relat_1 B C) A) (tptp.k5_relat_1 (tptp.k7_relat_1 B A) C)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.v1_relat_1 B) (forall ((C $$unsorted)) (=> (tptp.v1_relat_1 C) (= (= C (tptp.k8_relat_1 A B)) (forall ((D $$unsorted) (E $$unsorted)) (let ((_let_1 (tptp.k4_tarski D E))) (= (tptp.r2_hidden _let_1 C) (and (tptp.r2_hidden E A) (tptp.r2_hidden _let_1 B)))))))))) true true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.v1_relat_1 C) (= (tptp.r2_hidden A (tptp.k2_relat_1 (tptp.k8_relat_1 B C))) (and (tptp.r2_hidden A B) (tptp.r2_hidden A (tptp.k2_relat_1 C)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.v1_relat_1 B) (tptp.r1_tarski (tptp.k2_relat_1 (tptp.k8_relat_1 A B)) A))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.v1_relat_1 B) (tptp.r1_tarski (tptp.k8_relat_1 A B) B))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.v1_relat_1 B) (tptp.r1_tarski (tptp.k2_relat_1 (tptp.k8_relat_1 A B)) (tptp.k2_relat_1 B)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.v1_relat_1 B) (= (tptp.k2_relat_1 (tptp.k8_relat_1 A B)) (tptp.k3_xboole_0 (tptp.k2_relat_1 B) A)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.v1_relat_1 B) (=> (tptp.r1_tarski A (tptp.k2_relat_1 B)) (= (tptp.k2_relat_1 (tptp.k8_relat_1 A B)) A)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.v1_relat_1 B) (forall ((C $$unsorted)) (=> (tptp.v1_relat_1 C) (tptp.r1_tarski (tptp.k5_relat_1 (tptp.k8_relat_1 A B) C) (tptp.k5_relat_1 B C)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.v1_relat_1 B) (forall ((C $$unsorted)) (=> (tptp.v1_relat_1 C) (tptp.r1_tarski (tptp.k5_relat_1 B (tptp.k8_relat_1 A C)) (tptp.k5_relat_1 B C)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.v1_relat_1 B) (= (tptp.k8_relat_1 A B) (tptp.k5_relat_1 B (tptp.k6_relat_1 A))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.v1_relat_1 B) (= (tptp.k8_relat_1 A B) (tptp.k3_xboole_0 B (tptp.k2_zfmisc_1 (tptp.k1_relat_1 B) A))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.v1_relat_1 B) (=> (tptp.r1_tarski (tptp.k2_relat_1 B) A) (= (tptp.k8_relat_1 A B) B)))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (= (tptp.k8_relat_1 (tptp.k2_relat_1 A) A) A))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.v1_relat_1 C) (= (tptp.k8_relat_1 A (tptp.k8_relat_1 B C)) (tptp.k8_relat_1 (tptp.k3_xboole_0 A B) C)))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k8_relat_1 A B))) (=> (tptp.v1_relat_1 B) (= (tptp.k8_relat_1 A _let_1) _let_1)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k8_relat_1 A C))) (=> (tptp.v1_relat_1 C) (=> (tptp.r1_tarski A B) (= (tptp.k8_relat_1 B _let_1) _let_1))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.v1_relat_1 C) (=> (tptp.r1_tarski A B) (= (tptp.k8_relat_1 A (tptp.k8_relat_1 B C)) (tptp.k8_relat_1 A C))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.v1_relat_1 C) (=> (tptp.r1_tarski A B) (tptp.r1_tarski (tptp.k8_relat_1 A C) (tptp.k8_relat_1 B C))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.v1_relat_1 B) (forall ((C $$unsorted)) (=> (tptp.v1_relat_1 C) (=> (tptp.r1_tarski B C) (tptp.r1_tarski (tptp.k8_relat_1 A B) (tptp.k8_relat_1 A C))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.v1_relat_1 C) (forall ((D $$unsorted)) (=> (tptp.v1_relat_1 D) (=> (and (tptp.r1_tarski C D) (tptp.r1_tarski A B)) (tptp.r1_tarski (tptp.k8_relat_1 A C) (tptp.k8_relat_1 B D))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.v1_relat_1 C) (= (tptp.k8_relat_1 (tptp.k2_xboole_0 A B) C) (tptp.k2_xboole_0 (tptp.k8_relat_1 A C) (tptp.k8_relat_1 B C))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.v1_relat_1 C) (= (tptp.k8_relat_1 (tptp.k3_xboole_0 A B) C) (tptp.k3_xboole_0 (tptp.k8_relat_1 A C) (tptp.k8_relat_1 B C))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.v1_relat_1 C) (= (tptp.k8_relat_1 (tptp.k4_xboole_0 A B) C) (tptp.k4_xboole_0 (tptp.k8_relat_1 A C) (tptp.k8_relat_1 B C))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (= (tptp.k8_relat_1 tptp.k1_xboole_0 A) tptp.k1_xboole_0))) (forall ((A $$unsorted)) (= (tptp.k8_relat_1 A tptp.k1_xboole_0) tptp.k1_xboole_0)) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.v1_relat_1 B) (forall ((C $$unsorted)) (=> (tptp.v1_relat_1 C) (= (tptp.k8_relat_1 A (tptp.k5_relat_1 B C)) (tptp.k5_relat_1 B (tptp.k8_relat_1 A C))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.v1_relat_1 C) (= (tptp.k7_relat_1 (tptp.k8_relat_1 A C) B) (tptp.k8_relat_1 A (tptp.k7_relat_1 C B))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (forall ((B $$unsorted) (C $$unsorted)) (= (= C (tptp.k9_relat_1 A B)) (forall ((D $$unsorted)) (= (tptp.r2_hidden D C) (exists ((E $$unsorted)) (and (tptp.r2_hidden (tptp.k4_tarski E D) A) (tptp.r2_hidden E B))))))))) true true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.v1_relat_1 C) (= (tptp.r2_hidden A (tptp.k9_relat_1 C B)) (exists ((D $$unsorted)) (and (tptp.r2_hidden D (tptp.k1_relat_1 C)) (tptp.r2_hidden (tptp.k4_tarski D A) C) (tptp.r2_hidden D B)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.v1_relat_1 B) (tptp.r1_tarski (tptp.k9_relat_1 B A) (tptp.k2_relat_1 B)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.v1_relat_1 B) (= (tptp.k9_relat_1 B A) (tptp.k9_relat_1 B (tptp.k3_xboole_0 (tptp.k1_relat_1 B) A))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (= (tptp.k9_relat_1 A (tptp.k1_relat_1 A)) (tptp.k2_relat_1 A)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.v1_relat_1 B) (tptp.r1_tarski (tptp.k9_relat_1 B A) (tptp.k9_relat_1 B (tptp.k1_relat_1 B))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.v1_relat_1 B) (= (tptp.k2_relat_1 (tptp.k7_relat_1 B A)) (tptp.k9_relat_1 B A)))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (= (tptp.k9_relat_1 A tptp.k1_xboole_0) tptp.k1_xboole_0))) (forall ((A $$unsorted)) (= (tptp.k9_relat_1 tptp.k1_xboole_0 A) tptp.k1_xboole_0)) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.v1_relat_1 B) (= (= (tptp.k9_relat_1 B A) tptp.k1_xboole_0) (tptp.r1_xboole_0 (tptp.k1_relat_1 B) A)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.v1_relat_1 B) (not (and (not (= A tptp.k1_xboole_0)) (tptp.r1_tarski A (tptp.k1_relat_1 B)) (= (tptp.k9_relat_1 B A) tptp.k1_xboole_0))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.v1_relat_1 C) (= (tptp.k9_relat_1 C (tptp.k2_xboole_0 A B)) (tptp.k2_xboole_0 (tptp.k9_relat_1 C A) (tptp.k9_relat_1 C B))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.v1_relat_1 C) (tptp.r1_tarski (tptp.k9_relat_1 C (tptp.k3_xboole_0 A B)) (tptp.k3_xboole_0 (tptp.k9_relat_1 C A) (tptp.k9_relat_1 C B))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.v1_relat_1 C) (tptp.r1_tarski (tptp.k4_xboole_0 (tptp.k9_relat_1 C A) (tptp.k9_relat_1 C B)) (tptp.k9_relat_1 C (tptp.k4_xboole_0 A B))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.v1_relat_1 C) (=> (tptp.r1_tarski A B) (tptp.r1_tarski (tptp.k9_relat_1 C A) (tptp.k9_relat_1 C B))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.v1_relat_1 B) (forall ((C $$unsorted)) (=> (tptp.v1_relat_1 C) (=> (tptp.r1_tarski B C) (tptp.r1_tarski (tptp.k9_relat_1 B A) (tptp.k9_relat_1 C A))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.v1_relat_1 C) (forall ((D $$unsorted)) (=> (tptp.v1_relat_1 D) (=> (and (tptp.r1_tarski C D) (tptp.r1_tarski A B)) (tptp.r1_tarski (tptp.k9_relat_1 C A) (tptp.k9_relat_1 D B))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.v1_relat_1 B) (forall ((C $$unsorted)) (=> (tptp.v1_relat_1 C) (= (tptp.k9_relat_1 (tptp.k5_relat_1 B C) A) (tptp.k9_relat_1 C (tptp.k9_relat_1 B A))))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (forall ((B $$unsorted)) (=> (tptp.v1_relat_1 B) (= (tptp.k2_relat_1 (tptp.k5_relat_1 A B)) (tptp.k9_relat_1 B (tptp.k2_relat_1 A))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.v1_relat_1 C) (tptp.r1_tarski (tptp.k9_relat_1 (tptp.k7_relat_1 C A) B) (tptp.k9_relat_1 C B)))) true (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.v1_relat_1 B) (tptp.r1_tarski (tptp.k3_xboole_0 (tptp.k1_relat_1 B) A) (tptp.k9_relat_1 (tptp.k4_relat_1 B) (tptp.k9_relat_1 B A))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (forall ((B $$unsorted) (C $$unsorted)) (= (= C (tptp.k10_relat_1 A B)) (forall ((D $$unsorted)) (= (tptp.r2_hidden D C) (exists ((E $$unsorted)) (and (tptp.r2_hidden (tptp.k4_tarski D E) A) (tptp.r2_hidden E B))))))))) true true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.v1_relat_1 C) (= (tptp.r2_hidden A (tptp.k10_relat_1 C B)) (exists ((D $$unsorted)) (and (tptp.r2_hidden D (tptp.k2_relat_1 C)) (tptp.r2_hidden (tptp.k4_tarski A D) C) (tptp.r2_hidden D B)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.v1_relat_1 B) (tptp.r1_tarski (tptp.k10_relat_1 B A) (tptp.k1_relat_1 B)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.v1_relat_1 B) (= (tptp.k10_relat_1 B A) (tptp.k10_relat_1 B (tptp.k3_xboole_0 (tptp.k2_relat_1 B) A))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (= (tptp.k10_relat_1 A (tptp.k2_relat_1 A)) (tptp.k1_relat_1 A)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.v1_relat_1 B) (tptp.r1_tarski (tptp.k10_relat_1 B A) (tptp.k10_relat_1 B (tptp.k2_relat_1 B))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (= (tptp.k10_relat_1 A tptp.k1_xboole_0) tptp.k1_xboole_0))) (forall ((A $$unsorted)) (= (tptp.k10_relat_1 tptp.k1_xboole_0 A) tptp.k1_xboole_0)) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.v1_relat_1 B) (= (= (tptp.k10_relat_1 B A) tptp.k1_xboole_0) (tptp.r1_xboole_0 (tptp.k2_relat_1 B) A)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.v1_relat_1 B) (not (and (not (= A tptp.k1_xboole_0)) (tptp.r1_tarski A (tptp.k2_relat_1 B)) (= (tptp.k10_relat_1 B A) tptp.k1_xboole_0))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.v1_relat_1 C) (= (tptp.k10_relat_1 C (tptp.k2_xboole_0 A B)) (tptp.k2_xboole_0 (tptp.k10_relat_1 C A) (tptp.k10_relat_1 C B))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.v1_relat_1 C) (tptp.r1_tarski (tptp.k10_relat_1 C (tptp.k3_xboole_0 A B)) (tptp.k3_xboole_0 (tptp.k10_relat_1 C A) (tptp.k10_relat_1 C B))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.v1_relat_1 C) (tptp.r1_tarski (tptp.k4_xboole_0 (tptp.k10_relat_1 C A) (tptp.k10_relat_1 C B)) (tptp.k10_relat_1 C (tptp.k4_xboole_0 A B))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.v1_relat_1 C) (=> (tptp.r1_tarski A B) (tptp.r1_tarski (tptp.k10_relat_1 C A) (tptp.k10_relat_1 C B))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.v1_relat_1 B) (forall ((C $$unsorted)) (=> (tptp.v1_relat_1 C) (=> (tptp.r1_tarski B C) (tptp.r1_tarski (tptp.k10_relat_1 B A) (tptp.k10_relat_1 C A))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.v1_relat_1 C) (forall ((D $$unsorted)) (=> (tptp.v1_relat_1 D) (=> (and (tptp.r1_tarski C D) (tptp.r1_tarski A B)) (tptp.r1_tarski (tptp.k10_relat_1 C A) (tptp.k10_relat_1 D B))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.v1_relat_1 B) (forall ((C $$unsorted)) (=> (tptp.v1_relat_1 C) (= (tptp.k10_relat_1 (tptp.k5_relat_1 B C) A) (tptp.k10_relat_1 B (tptp.k10_relat_1 C A))))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (forall ((B $$unsorted)) (=> (tptp.v1_relat_1 B) (= (tptp.k1_relat_1 (tptp.k5_relat_1 A B)) (tptp.k10_relat_1 A (tptp.k1_relat_1 B))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.v1_relat_1 B) (tptp.r1_tarski (tptp.k3_xboole_0 (tptp.k2_relat_1 B) A) (tptp.k10_relat_1 (tptp.k4_relat_1 B) (tptp.k10_relat_1 B A))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (= (tptp.v3_relat_1 A) (tptp.r1_tarski (tptp.k2_relat_1 A) (tptp.k1_tarski tptp.k1_xboole_0))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (= (tptp.v3_relat_1 A) (forall ((B $$unsorted)) (=> (tptp.r2_hidden B (tptp.k2_relat_1 A)) (= B tptp.k1_xboole_0)))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (forall ((B $$unsorted)) (=> (tptp.v1_relat_1 B) (forall ((C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k2_xboole_0 C D))) (=> (and (= (tptp.k7_relat_1 A C) (tptp.k7_relat_1 B C)) (= (tptp.k7_relat_1 A D) (tptp.k7_relat_1 B D))) (= (tptp.k7_relat_1 A _let_1) (tptp.k7_relat_1 B _let_1))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.v1_relat_1 B) (forall ((C $$unsorted)) (=> (tptp.v1_relat_1 C) (=> (and (tptp.r1_tarski (tptp.k1_relat_1 C) A) (tptp.r1_tarski C B)) (tptp.r1_tarski C (tptp.k7_relat_1 B A))))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (forall ((B $$unsorted)) (=> (tptp.r1_xboole_0 B (tptp.k1_relat_1 A)) (= (tptp.k7_relat_1 A B) tptp.k1_xboole_0))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (forall ((B $$unsorted)) (=> (tptp.v1_relat_1 B) (forall ((C $$unsorted) (D $$unsorted)) (=> (and (tptp.r1_tarski C D) (= (tptp.k7_relat_1 A D) (tptp.k7_relat_1 B D))) (= (tptp.k7_relat_1 A C) (tptp.k7_relat_1 B C)))))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (forall ((B $$unsorted)) (=> (tptp.v1_relat_1 B) (= (tptp.k7_relat_1 A (tptp.k1_relat_1 B)) (tptp.k7_relat_1 A (tptp.k1_relat_1 (tptp.k7_relat_1 B (tptp.k1_relat_1 A))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.v1_relat_1 B) (not (and (not (tptp.v3_relat_1 (tptp.k7_relat_1 B A))) (tptp.v3_relat_1 B))))) (exists ((A $$unsorted)) (and (tptp.v1_relat_1 A) (forall ((B $$unsorted) (C $$unsorted)) (= (tptp.r2_hidden (tptp.k4_tarski B C) A) (and (tptp.r2_hidden B tptp.f1_s1_relat_1) (tptp.r2_hidden C tptp.f2_s1_relat_1) (tptp.p1_s1_relat_1 B C)))))) true true true (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (tptp.v1_relat_1 (tptp.k4_relat_1 A)))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (= (tptp.k4_relat_1 (tptp.k4_relat_1 A)) A))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_relat_1 B)) (tptp.v1_relat_1 (tptp.k5_relat_1 A B)))) (forall ((A $$unsorted)) (tptp.v1_relat_1 (tptp.k6_relat_1 A))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.v1_relat_1 A) (tptp.v1_relat_1 (tptp.k7_relat_1 A B)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.v1_relat_1 B) (tptp.v1_relat_1 (tptp.k8_relat_1 A B)))) true true (exists ((A $$unsorted)) (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A))) (forall ((A $$unsorted)) (=> (tptp.v1_xboole_0 A) (tptp.v1_funct_1 A))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k5_relat_1 A B))) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (and (tptp.v1_relat_1 _let_1) (tptp.v1_funct_1 _let_1))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k6_relat_1 A))) (and (tptp.v1_relat_1 _let_1) (tptp.v1_funct_1 _let_1)))) (exists ((A $$unsorted)) (and (tptp.v1_relat_1 A) (tptp.v1_xboole_0 A) (tptp.v1_funct_1 A))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.v1_funct_1 A))) (let ((_let_2 (tptp.v1_relat_1 A))) (=> (and _let_2 (tptp.v1_xboole_0 A) _let_1) (and _let_2 _let_1 (tptp.v2_funct_1 A)))))) (exists ((A $$unsorted)) (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v2_funct_1 A))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k4_relat_1 A))) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v2_funct_1 A)) (and (tptp.v1_relat_1 _let_1) (tptp.v1_funct_1 _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k7_relat_1 A B))) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (and (tptp.v1_relat_1 _let_1) (tptp.v1_funct_1 _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k8_relat_1 A B))) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (and (tptp.v1_relat_1 _let_1) (tptp.v1_funct_1 _let_1))))) (exists ((A $$unsorted)) (and (tptp.v1_relat_1 A) (tptp.v3_relat_1 A) (tptp.v1_funct_1 A))) (exists ((A $$unsorted)) (and (tptp.v1_relat_1 A) (tptp.v2_relat_1 A) (tptp.v1_funct_1 A))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v2_relat_1 A) (tptp.v1_funct_1 A)) (tptp.v1_setfam_1 (tptp.k2_relat_1 A)))) _let_87 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 $$unsorted)) (not (tptp.v1_xboole_0 (tptp.k1_ordinal1 A)))) (forall ((A $$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_23 _let_35 _let_22 _let_34 _let_36 (tptp.v1_ordinal1 tptp.k1_xboole_0) (tptp.v2_ordinal1 tptp.k1_xboole_0) _let_82) (exists ((A $$unsorted)) (and (not (tptp.v1_xboole_0 A)) (tptp.v1_ordinal1 A) (tptp.v2_ordinal1 A) (tptp.v3_ordinal1 A))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k1_ordinal1 A))) (=> (tptp.v3_ordinal1 A) (and (not (tptp.v1_xboole_0 _let_1)) (tptp.v1_ordinal1 _let_1) (tptp.v2_ordinal1 _let_1) (tptp.v3_ordinal1 _let_1))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k3_tarski A))) (=> (tptp.v3_ordinal1 A) (and (tptp.v1_ordinal1 _let_1) (tptp.v2_ordinal1 _let_1) (tptp.v3_ordinal1 _let_1))))) (exists ((A $$unsorted)) (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v5_ordinal1 A))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k1_relat_1 A))) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v5_ordinal1 A)) (and (tptp.v1_ordinal1 _let_1) (tptp.v2_ordinal1 _let_1) (tptp.v3_ordinal1 _let_1))))) true true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (not (and (tptp.r2_hidden A B) (tptp.r2_hidden B C) (tptp.r2_hidden C A)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (not (and (tptp.r2_hidden A B) (tptp.r2_hidden B C) (tptp.r2_hidden C D) (tptp.r2_hidden D A)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (not (and (tptp.r2_hidden A B) (tptp.r2_hidden B C) (tptp.r2_hidden C D) (tptp.r2_hidden D E) (tptp.r2_hidden E A)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted)) (not (and (tptp.r2_hidden A B) (tptp.r2_hidden B C) (tptp.r2_hidden C D) (tptp.r2_hidden D E) (tptp.r2_hidden E F) (tptp.r2_hidden F A)))) (forall ((A $$unsorted) (B $$unsorted)) (not (and (tptp.r2_hidden A B) (tptp.r1_tarski B A)))) _let_86 true true (forall ((A $$unsorted)) (tptp.r2_hidden A (tptp.k1_ordinal1 A))) true (forall ((A $$unsorted) (B $$unsorted)) (=> (= (tptp.k1_ordinal1 A) (tptp.k1_ordinal1 B)) (= A B))) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.r2_hidden A (tptp.k1_ordinal1 B)) (or (tptp.r2_hidden A B) (= A B)))) (forall ((A $$unsorted)) (not (= A (tptp.k1_ordinal1 A)))) _let_85 _let_84 _let_83 true true true true (forall ((A $$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 $$unsorted)) (=> (tptp.v3_ordinal1 B) (or (tptp.r1_ordinal1 A B) (tptp.r2_hidden B A)))))) _let_82 true (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (tptp.v3_ordinal1 (tptp.k1_ordinal1 A)))) (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (tptp.v3_ordinal1 (tptp.k3_tarski A)))) (forall ((A $$unsorted)) (=> (forall ((B $$unsorted)) (=> (tptp.r2_hidden B A) (and (tptp.v3_ordinal1 B) (tptp.r1_tarski B A)))) (tptp.v3_ordinal1 A))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.v3_ordinal1 B) (not (and (tptp.r1_tarski A B) (not (= A tptp.k1_xboole_0)) (forall ((C $$unsorted)) (=> (tptp.v3_ordinal1 C) (not (and (tptp.r2_hidden C A) (forall ((D $$unsorted)) (=> (tptp.v3_ordinal1 D) (=> (tptp.r2_hidden D A) (tptp.r1_ordinal1 C D)))))))))))) (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (forall ((B $$unsorted)) (=> (tptp.v3_ordinal1 B) (= (tptp.r2_hidden A B) (tptp.r1_ordinal1 (tptp.k1_ordinal1 A) B)))))) (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (forall ((B $$unsorted)) (=> (tptp.v3_ordinal1 B) (= (tptp.r2_hidden A (tptp.k1_ordinal1 B)) (tptp.r1_ordinal1 A B)))))) (forall ((A $$unsorted)) (=> (forall ((B $$unsorted)) (=> (tptp.r2_hidden B A) (tptp.v3_ordinal1 B))) (tptp.v3_ordinal1 (tptp.k3_tarski A)))) (forall ((A $$unsorted)) (not (and (forall ((B $$unsorted)) (=> (tptp.r2_hidden B A) (tptp.v3_ordinal1 B))) (forall ((B $$unsorted)) (=> (tptp.v3_ordinal1 B) (not (tptp.r1_tarski A B))))))) (forall ((A $$unsorted)) (not (forall ((B $$unsorted)) (= (tptp.r2_hidden B A) (tptp.v3_ordinal1 B))))) (forall ((A $$unsorted)) (not (forall ((B $$unsorted)) (=> (tptp.v3_ordinal1 B) (tptp.r2_hidden B A))))) (forall ((A $$unsorted)) (exists ((B $$unsorted)) (and (tptp.v3_ordinal1 B) (not (tptp.r2_hidden B A)) (forall ((C $$unsorted)) (=> (tptp.v3_ordinal1 C) (=> (not (tptp.r2_hidden C A)) (tptp.r1_ordinal1 B C))))))) true _let_81 true (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (= (tptp.v4_ordinal1 A) (forall ((B $$unsorted)) (=> (tptp.v3_ordinal1 B) (=> (tptp.r2_hidden B A) (tptp.r2_hidden (tptp.k1_ordinal1 B) A))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.v4_ordinal1 A))) (=> (tptp.v3_ordinal1 A) (and (not (and (not _let_1) (forall ((B $$unsorted)) (=> (tptp.v3_ordinal1 B) (not (= A (tptp.k1_ordinal1 B))))))) (not (and (exists ((B $$unsorted)) (and (tptp.v3_ordinal1 B) (= A (tptp.k1_ordinal1 B)))) _let_1)))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (= (tptp.v5_ordinal1 A) (tptp.v3_ordinal1 (tptp.k1_relat_1 A))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (tptp.v5_ordinal1 B)) (= (tptp.m1_ordinal1 B A) (tptp.r1_tarski (tptp.k2_relat_1 B) A)))) true true (forall ((A $$unsorted)) (tptp.m1_ordinal1 tptp.k1_xboole_0 A)) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (=> (tptp.v3_ordinal1 (tptp.k1_relat_1 A)) (tptp.m1_ordinal1 A (tptp.k2_relat_1 A))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.r1_tarski A B) (forall ((C $$unsorted)) (=> (tptp.m1_ordinal1 C A) (tptp.m1_ordinal1 C B))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_ordinal1 B A) (forall ((C $$unsorted)) (=> (tptp.v3_ordinal1 C) (tptp.m1_ordinal1 (tptp.k2_ordinal1 B C) A))))) _let_80 (forall ((A $$unsorted)) (let ((_let_1 (tptp.k3_tarski A))) (=> (and (forall ((B $$unsorted)) (=> (tptp.r2_hidden B A) (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (tptp.v5_ordinal1 B)))) (tptp.v6_ordinal1 A)) (and (tptp.v1_relat_1 _let_1) (tptp.v1_funct_1 _let_1) (tptp.v5_ordinal1 _let_1))))) (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (forall ((B $$unsorted)) (=> (tptp.v3_ordinal1 B) (not (and (not (tptp.r2_xboole_0 A B)) (not (= A B)) (not (tptp.r2_xboole_0 B A)))))))) (=> (exists ((A $$unsorted)) (and (tptp.v3_ordinal1 A) (tptp.p1_s1_ordinal1 A))) (exists ((A $$unsorted)) (and (tptp.v3_ordinal1 A) (tptp.p1_s1_ordinal1 A) (forall ((B $$unsorted)) (=> (tptp.v3_ordinal1 B) (=> (tptp.p1_s1_ordinal1 B) (tptp.r1_ordinal1 A B))))))) (=> (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (=> (forall ((B $$unsorted)) (=> (tptp.v3_ordinal1 B) (=> (tptp.r2_hidden B A) (tptp.p1_s2_ordinal1 B)))) (tptp.p1_s2_ordinal1 A)))) (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (tptp.p1_s2_ordinal1 A)))) (=> (and (= (tptp.k1_relat_1 tptp.f3_s3_ordinal1) tptp.f1_s3_ordinal1) (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (tptp.v5_ordinal1 B)) (=> (and (tptp.r2_hidden A tptp.f1_s3_ordinal1) (= B (tptp.k2_ordinal1 tptp.f3_s3_ordinal1 A))) (= (tptp.k1_funct_1 tptp.f3_s3_ordinal1 A) (tptp.f2_s3_ordinal1 B))))))) (= (tptp.k1_relat_1 tptp.f4_s3_ordinal1) tptp.f1_s3_ordinal1) (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (tptp.v5_ordinal1 B)) (=> (and (tptp.r2_hidden A tptp.f1_s3_ordinal1) (= B (tptp.k2_ordinal1 tptp.f4_s3_ordinal1 A))) (= (tptp.k1_funct_1 tptp.f4_s3_ordinal1 A) (tptp.f2_s3_ordinal1 B)))))))) (= tptp.f3_s3_ordinal1 tptp.f4_s3_ordinal1)) (exists ((A $$unsorted)) (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v5_ordinal1 A) (= (tptp.k1_relat_1 A) tptp.f1_s4_ordinal1) (forall ((B $$unsorted)) (=> (tptp.v3_ordinal1 B) (forall ((C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C) (tptp.v5_ordinal1 C)) (=> (and (tptp.r2_hidden B tptp.f1_s4_ordinal1) (= C (tptp.k2_ordinal1 A B))) (= (tptp.k1_funct_1 A B) (tptp.f2_s4_ordinal1 C))))))))) (=> (and (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (forall ((B $$unsorted)) (= (= B (tptp.f2_s5_ordinal1 A)) (exists ((C $$unsorted)) (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C) (tptp.v5_ordinal1 C) (= B (tptp.f3_s5_ordinal1 C)) (= (tptp.k1_relat_1 C) A) (forall ((D $$unsorted)) (=> (tptp.v3_ordinal1 D) (=> (tptp.r2_hidden D A) (= (tptp.k1_funct_1 C D) (tptp.f3_s5_ordinal1 (tptp.k2_ordinal1 C D)))))))))))) (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (=> (tptp.r2_hidden A (tptp.k1_relat_1 tptp.f1_s5_ordinal1)) (= (tptp.k1_funct_1 tptp.f1_s5_ordinal1 A) (tptp.f2_s5_ordinal1 A)))))) (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (=> (tptp.r2_hidden A (tptp.k1_relat_1 tptp.f1_s5_ordinal1)) (= (tptp.k1_funct_1 tptp.f1_s5_ordinal1 A) (tptp.f3_s5_ordinal1 (tptp.k2_ordinal1 tptp.f1_s5_ordinal1 A))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_ordinal1 B A) (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (tptp.v5_ordinal1 B)))) (forall ((A $$unsorted)) (exists ((B $$unsorted)) (tptp.m1_ordinal1 B A))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v3_ordinal1 A) (tptp.v3_ordinal1 B)) (tptp.r1_ordinal1 A A))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v3_ordinal1 A) (tptp.v3_ordinal1 B)) (or (tptp.r1_ordinal1 A B) (tptp.r1_ordinal1 B A)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v3_ordinal1 A) (tptp.v3_ordinal1 B)) (= (tptp.r1_ordinal1 A B) (tptp.r1_tarski A B)))) true (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v5_ordinal1 A) (tptp.v3_ordinal1 B)) (tptp.m1_ordinal1 (tptp.k2_ordinal1 A B) (tptp.k2_relat_1 A)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v5_ordinal1 A) (tptp.v3_ordinal1 B)) (= (tptp.k2_ordinal1 A B) (tptp.k7_relat_1 A B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.k2_zfmisc_1 A B))) (tptp.v1_relat_1 C))) _let_79 true true true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (tptp.m2_relset_1 D B C) (=> (tptp.r1_tarski A D) (tptp.m2_relset_1 A B C)))) true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (tptp.m2_relset_1 D A B) (not (and (tptp.r2_hidden C D) (forall ((E $$unsorted) (F $$unsorted)) (not (and (= C (tptp.k4_tarski E F)) (tptp.r2_hidden E A) (tptp.r2_hidden F B)))))))) true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.r2_hidden C A) (tptp.r2_hidden D B)) (tptp.m2_relset_1 (tptp.k1_tarski (tptp.k4_tarski C D)) A B))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.v1_relat_1 B) (=> (tptp.r1_tarski (tptp.k1_relat_1 B) A) (tptp.m2_relset_1 B A (tptp.k2_relat_1 B))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.v1_relat_1 B) (=> (tptp.r1_tarski (tptp.k2_relat_1 B) A) (tptp.m2_relset_1 B (tptp.k1_relat_1 B) A)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.v1_relat_1 C) (=> (and (tptp.r1_tarski (tptp.k1_relat_1 C) A) (tptp.r1_tarski (tptp.k2_relat_1 C) B)) (tptp.m2_relset_1 C A B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.m2_relset_1 C A B) (and (tptp.r1_tarski (tptp.k1_relat_1 C) A) (tptp.r1_tarski (tptp.k2_relat_1 C) B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (tptp.m2_relset_1 D A C) (=> (tptp.r1_tarski (tptp.k1_relat_1 D) B) (tptp.m2_relset_1 D B C)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (tptp.m2_relset_1 D C A) (=> (tptp.r1_tarski (tptp.k2_relat_1 D) B) (tptp.m2_relset_1 D C B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (tptp.m2_relset_1 D A C) (=> (tptp.r1_tarski A B) (tptp.m2_relset_1 D B C)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (tptp.m2_relset_1 D C A) (=> (tptp.r1_tarski A B) (tptp.m2_relset_1 D C B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (=> (tptp.m2_relset_1 E A C) (=> (and (tptp.r1_tarski A B) (tptp.r1_tarski C D)) (tptp.m2_relset_1 E B D)))) true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.m2_relset_1 C A B) (tptp.r1_tarski (tptp.k3_relat_1 C) (tptp.k2_xboole_0 A B)))) true true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.m2_relset_1 C B A) (= (forall ((D $$unsorted)) (not (and (tptp.r2_hidden D B) (forall ((E $$unsorted)) (not (tptp.r2_hidden (tptp.k4_tarski D E) C)))))) (= (tptp.k4_relset_1 B A C) B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.m2_relset_1 C A B) (= (forall ((D $$unsorted)) (not (and (tptp.r2_hidden D B) (forall ((E $$unsorted)) (not (tptp.r2_hidden (tptp.k4_tarski E D) C)))))) (= (tptp.k5_relset_1 A B C) B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k6_relset_1 A B C))) (=> (tptp.m2_relset_1 C A B) (and (= (tptp.k4_relset_1 B A _let_1) (tptp.k5_relset_1 A B C)) (= (tptp.k5_relset_1 B A _let_1) (tptp.k4_relset_1 A B C)))))) (forall ((A $$unsorted) (B $$unsorted)) (tptp.m2_relset_1 tptp.k1_xboole_0 A B)) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.m2_relset_1 C A B) (=> (tptp.m2_relset_1 C tptp.k1_xboole_0 B) (= C tptp.k1_xboole_0)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.m2_relset_1 C B A) (=> (tptp.m2_relset_1 C B tptp.k1_xboole_0) (= C tptp.k1_xboole_0)))) (forall ((A $$unsorted)) (tptp.r1_tarski (tptp.k6_relat_1 A) (tptp.k2_zfmisc_1 A A))) (forall ((A $$unsorted)) (tptp.m2_relset_1 (tptp.k6_relat_1 A) A A)) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (tptp.m2_relset_1 D A B) (=> (tptp.r1_tarski (tptp.k6_relat_1 C) D) (and (tptp.r1_tarski C (tptp.k4_relset_1 A B D)) (tptp.r1_tarski C (tptp.k5_relset_1 A B D)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.m2_relset_1 C B A) (=> (tptp.r1_tarski (tptp.k6_relat_1 B) C) (and (= B (tptp.k4_relset_1 B A C)) (tptp.r1_tarski B (tptp.k5_relset_1 B A C)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.m2_relset_1 C A B) (=> (tptp.r1_tarski (tptp.k6_relat_1 B) C) (and (tptp.r1_tarski B (tptp.k4_relset_1 A B C)) (= B (tptp.k5_relset_1 A B C)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (tptp.m2_relset_1 D A C) (tptp.m2_relset_1 (tptp.k8_relset_1 A C D B) B C))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (tptp.m2_relset_1 D B A) (=> (tptp.r1_tarski B C) (= (tptp.k8_relset_1 B A D C) D)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (tptp.m2_relset_1 D C A) (tptp.m2_relset_1 (tptp.k9_relset_1 C A B D) C B))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (tptp.m2_relset_1 D A B) (=> (tptp.r1_tarski B C) (= (tptp.k9_relset_1 A B C D) D)))) true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.m2_relset_1 C A B) (and (= (tptp.k10_relset_1 A B C A) (tptp.k5_relset_1 A B C)) (= (tptp.k11_relset_1 A B C B) (tptp.k4_relset_1 A B C))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.m2_relset_1 C B A) (and (= (tptp.k10_relset_1 B A C (tptp.k11_relset_1 B A C A)) (tptp.k5_relset_1 B A C)) (= (tptp.k11_relset_1 B A C (tptp.k10_relset_1 B A C B)) (tptp.k4_relset_1 B A C))))) true true true true true (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k6_relat_1 A))) (=> (tptp.m2_relset_1 B A A) (and (= (tptp.k5_relat_1 B _let_1) B) (= (tptp.k5_relat_1 _let_1 B) B))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (not (= (tptp.k6_relat_1 A) tptp.k1_xboole_0)))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (=> (tptp.m2_relset_1 C A B) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D A) (= (tptp.r2_hidden D (tptp.k4_relset_1 A B C)) (exists ((E $$unsorted)) (and (tptp.m1_subset_1 E B) (tptp.r2_hidden (tptp.k4_tarski D E) C)))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (=> (tptp.m2_relset_1 C B A) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D A) (= (tptp.r2_hidden D (tptp.k5_relset_1 B A C)) (exists ((E $$unsorted)) (and (tptp.m1_subset_1 E B) (tptp.r2_hidden (tptp.k4_tarski E D) C)))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (=> (tptp.m2_relset_1 C A B) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D A) (not (and (tptp.r2_hidden D (tptp.k4_relset_1 A B C)) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E B) (not (tptp.r2_hidden E (tptp.k5_relset_1 A B C))))))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (=> (tptp.m2_relset_1 C B A) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D A) (not (and (tptp.r2_hidden D (tptp.k5_relset_1 B A C)) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E B) (not (tptp.r2_hidden E (tptp.k4_relset_1 B A C))))))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (=> (not (tptp.v1_xboole_0 C)) (forall ((D $$unsorted)) (=> (tptp.m2_relset_1 D A B) (forall ((E $$unsorted)) (=> (tptp.m2_relset_1 E B C) (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F A) (forall ((G $$unsorted)) (=> (tptp.m1_subset_1 G C) (= (tptp.r2_hidden (tptp.k4_tarski F G) (tptp.k7_relset_1 A B B C D E)) (exists ((H $$unsorted)) (and (tptp.m1_subset_1 H B) (tptp.r2_hidden (tptp.k4_tarski F H) D) (tptp.r2_hidden (tptp.k4_tarski H G) E)))))))))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (=> (not (tptp.v1_xboole_0 C)) (forall ((D $$unsorted)) (=> (tptp.m2_relset_1 D C A) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E A) (= (tptp.r2_hidden E (tptp.k10_relset_1 C A D B)) (exists ((F $$unsorted)) (and (tptp.m1_subset_1 F C) (tptp.r2_hidden (tptp.k4_tarski F E) D) (tptp.r2_hidden F B)))))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (=> (not (tptp.v1_xboole_0 C)) (forall ((D $$unsorted)) (=> (tptp.m2_relset_1 D A C) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E A) (= (tptp.r2_hidden E (tptp.k11_relset_1 A C D B)) (exists ((F $$unsorted)) (and (tptp.m1_subset_1 F C) (tptp.r2_hidden (tptp.k4_tarski E F) D) (tptp.r2_hidden F B)))))))))))))) (exists ((A $$unsorted)) (and (tptp.m2_relset_1 A tptp.f1_s1_relset_1 tptp.f2_s1_relset_1) (forall ((B $$unsorted) (C $$unsorted)) (= (tptp.r2_hidden (tptp.k4_tarski B C) A) (and (tptp.r2_hidden B tptp.f1_s1_relset_1) (tptp.r2_hidden C tptp.f2_s1_relset_1) (tptp.p1_s1_relset_1 B C)))))) (exists ((A $$unsorted)) (and (tptp.m2_relset_1 A tptp.f1_s2_relset_1 tptp.f2_s2_relset_1) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.f1_s2_relset_1) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C tptp.f2_s2_relset_1) (= (tptp.r2_hidden (tptp.k4_tarski B C) A) (tptp.p1_s2_relset_1 B C)))))))) true (forall ((A $$unsorted) (B $$unsorted)) (exists ((C $$unsorted)) (tptp.m1_relset_1 C A B))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.m2_relset_1 C A B) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.k2_zfmisc_1 A B))))) (forall ((A $$unsorted) (B $$unsorted)) (exists ((C $$unsorted)) (tptp.m2_relset_1 C A B))) _let_78 (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 $$unsorted)) (=> (tptp.r2_hidden D (tptp.k3_xboole_0 (tptp.k1_relat_1 A) (tptp.k1_relat_1 B))) (= (tptp.k1_funct_1 A D) (tptp.k1_funct_1 B D))))))))))) true true true true true true _let_77 true true true true true true true true true true true true true (forall ((A $$unsorted)) (let ((_let_1 (tptp.v1_funct_1 A))) (=> (and (tptp.v1_relat_1 A) _let_1) (and _let_1 (tptp.m2_relset_1 A (tptp.k1_relat_1 A) (tptp.k2_relat_1 A)))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.v1_funct_1 B))) (=> (and (tptp.v1_relat_1 B) _let_1) (=> (tptp.r1_tarski (tptp.k2_relat_1 B) A) (and _let_1 (tptp.m2_relset_1 B (tptp.k1_relat_1 B) A)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.m2_relset_1 D A B)) (not (and (tptp.r2_hidden C (tptp.k2_relat_1 D)) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E A) (not (and (tptp.r2_hidden E (tptp.k4_relset_1 A B D)) (= C (tptp.k1_funct_1 D E)))))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.m2_relset_1 D A B)) (=> (tptp.r2_hidden C (tptp.k4_relset_1 A B D)) (tptp.r2_hidden (tptp.k1_funct_1 D C) B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.v1_funct_1 D))) (=> (and _let_1 (tptp.m2_relset_1 D A B)) (=> (tptp.r1_tarski (tptp.k4_relset_1 A B D) C) (and _let_1 (tptp.m2_relset_1 D C B)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.v1_funct_1 D))) (=> (and _let_1 (tptp.m2_relset_1 D A B)) (=> (tptp.r1_tarski (tptp.k2_relat_1 D) C) (and _let_1 (tptp.m2_relset_1 D A C)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.v1_funct_1 D))) (=> (and _let_1 (tptp.m2_relset_1 D A B)) (=> (tptp.r1_tarski A C) (and _let_1 (tptp.m2_relset_1 D C B)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.v1_funct_1 D))) (=> (and _let_1 (tptp.m2_relset_1 D A B)) (=> (tptp.r1_tarski B C) (and _let_1 (tptp.m2_relset_1 D A C)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (let ((_let_1 (tptp.v1_funct_1 E))) (=> (and _let_1 (tptp.m2_relset_1 E A B)) (=> (and (tptp.r1_tarski A C) (tptp.r1_tarski B D)) (and _let_1 (tptp.m2_relset_1 E C D)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (forall ((D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.m2_relset_1 D A B)) (=> (tptp.r1_tarski C D) (and (tptp.v1_funct_1 C) (tptp.m2_relset_1 C A B))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.m2_relset_1 C A B)) (forall ((D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.m2_relset_1 D A B)) (=> (and (= (tptp.k4_relset_1 A B C) (tptp.k4_relset_1 A B D)) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E A) (=> (tptp.r2_hidden E (tptp.k4_relset_1 A B C)) (= (tptp.k1_funct_1 C E) (tptp.k1_funct_1 D E)))))) (= C D)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.m2_relset_1 D (tptp.k2_zfmisc_1 A B) C)) (forall ((E $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A B))) (=> (and (tptp.v1_funct_1 E) (tptp.m2_relset_1 E _let_1 C)) (=> (and (= (tptp.k4_relset_1 _let_1 C D) (tptp.k4_relset_1 _let_1 C E)) (forall ((F $$unsorted) (G $$unsorted)) (let ((_let_1 (tptp.k4_tarski F G))) (=> (tptp.r2_hidden _let_1 (tptp.k4_relset_1 (tptp.k2_zfmisc_1 A B) C D)) (= (tptp.k1_funct_1 D _let_1) (tptp.k1_funct_1 E _let_1)))))) (= D E))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.m2_relset_1 C A B) (= (tptp.k5_relat_1 (tptp.k6_relat_1 A) C) C))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.m2_relset_1 C A B) (= (tptp.k5_relat_1 C (tptp.k6_relat_1 B)) C))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.m2_relset_1 C A B)) (=> (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D A) (forall ((E $$unsorted)) (let ((_let_1 (tptp.k4_relset_1 A B C))) (=> (tptp.m1_subset_1 E A) (=> (and (tptp.r2_hidden D _let_1) (tptp.r2_hidden E _let_1) (= (tptp.k1_funct_1 C D) (tptp.k1_funct_1 C E))) (= D E))))))) (tptp.v2_funct_1 C)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k2_funct_1 C))) (=> (and (tptp.v1_funct_1 C) (tptp.m2_relset_1 C A B)) (=> (tptp.v2_funct_1 C) (and (tptp.v1_funct_1 _let_1) (tptp.m2_relset_1 _let_1 B A)))))) true true true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k8_relset_1 A B D C))) (=> (and (tptp.v1_funct_1 D) (tptp.m2_relset_1 D A B)) (and (tptp.v1_funct_1 _let_1) (tptp.m2_relset_1 _let_1 C B))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k8_relset_1 A B D C))) (=> (and (tptp.v1_funct_1 D) (tptp.m2_relset_1 D A B)) (and (tptp.v1_funct_1 _let_1) (tptp.m2_relset_1 _let_1 A B))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k9_relset_1 A B C D))) (=> (and (tptp.v1_funct_1 D) (tptp.m2_relset_1 D A B)) (and (tptp.v1_funct_1 _let_1) (tptp.m2_relset_1 _let_1 A C))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k9_relset_1 A B C D))) (=> (and (tptp.v1_funct_1 D) (tptp.m2_relset_1 D A B)) (and (tptp.v1_funct_1 _let_1) (tptp.m2_relset_1 _let_1 A B))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k7_relat_1 (tptp.k8_relat_1 A C) B))) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (and (tptp.v1_funct_1 _let_1) (tptp.m2_relset_1 _let_1 B A))))) true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.m2_relset_1 D A B)) (not (and (tptp.r2_hidden C (tptp.k9_relat_1 D A)) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E A) (not (and (tptp.r2_hidden E (tptp.k4_relset_1 A B D)) (= C (tptp.k1_funct_1 D E)))))))))) true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.m2_relset_1 C A B)) (= (tptp.k9_relat_1 C A) (tptp.k2_relat_1 C)))) true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.m2_relset_1 C A B)) (= (tptp.k10_relat_1 C B) (tptp.k4_relset_1 A B C)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_funct_1 B) (tptp.m2_relset_1 B tptp.k1_xboole_0 A)) (and (= (tptp.k4_relset_1 tptp.k1_xboole_0 A B) tptp.k1_xboole_0) (= (tptp.k2_relat_1 B) tptp.k1_xboole_0)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.v1_funct_1 C))) (=> (and (tptp.v1_relat_1 C) _let_1) (=> (= (tptp.k1_relat_1 C) tptp.k1_xboole_0) (and _let_1 (tptp.m2_relset_1 C A B)))))) (forall ((A $$unsorted) (B $$unsorted)) (and (tptp.v1_funct_1 tptp.k1_xboole_0) (tptp.m2_relset_1 tptp.k1_xboole_0 A B))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_funct_1 B) (tptp.m2_relset_1 B tptp.k1_xboole_0 A)) (= B tptp.k1_xboole_0))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.m2_relset_1 C tptp.k1_xboole_0 A)) (forall ((D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.m2_relset_1 D tptp.k1_xboole_0 B)) (= C D))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_funct_1 B) (tptp.m2_relset_1 B tptp.k1_xboole_0 A)) (tptp.v2_funct_1 B))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.m2_relset_1 C tptp.k1_xboole_0 A)) (= (tptp.k9_relat_1 C B) tptp.k1_xboole_0))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.m2_relset_1 C tptp.k1_xboole_0 A)) (= (tptp.k10_relat_1 C B) tptp.k1_xboole_0))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_funct_1 B) (tptp.m2_relset_1 B A tptp.k1_xboole_0)) (and (= (tptp.k4_relset_1 A tptp.k1_xboole_0 B) tptp.k1_xboole_0) (= (tptp.k2_relat_1 B) tptp.k1_xboole_0)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.v1_funct_1 C))) (=> (and (tptp.v1_relat_1 C) _let_1) (=> (= (tptp.k2_relat_1 C) tptp.k1_xboole_0) (and _let_1 (tptp.m2_relset_1 C A B)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_funct_1 B) (tptp.m2_relset_1 B A tptp.k1_xboole_0)) (= B tptp.k1_xboole_0))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.m2_relset_1 C A tptp.k1_xboole_0)) (forall ((D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.m2_relset_1 D B tptp.k1_xboole_0)) (= C D))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_funct_1 B) (tptp.m2_relset_1 B A tptp.k1_xboole_0)) (tptp.v2_funct_1 B))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.m2_relset_1 C A tptp.k1_xboole_0)) (= (tptp.k9_relat_1 C B) tptp.k1_xboole_0))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.m2_relset_1 C A tptp.k1_xboole_0)) (= (tptp.k10_relat_1 C B) tptp.k1_xboole_0))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.m2_relset_1 C (tptp.k1_tarski A) B)) (tptp.r1_tarski (tptp.k2_relat_1 C) (tptp.k1_tarski (tptp.k1_funct_1 C A))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.m2_relset_1 C (tptp.k1_tarski A) B)) (tptp.v2_funct_1 C))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.m2_relset_1 D (tptp.k1_tarski A) B)) (tptp.r1_tarski (tptp.k9_relat_1 D C) (tptp.k1_tarski (tptp.k1_funct_1 D A))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.v1_funct_1 D))) (=> (and (tptp.v1_relat_1 D) _let_1) (=> (and (= (tptp.k1_relat_1 D) (tptp.k1_tarski A)) (tptp.r2_hidden A B) (tptp.r2_hidden (tptp.k1_funct_1 D A) C)) (and _let_1 (tptp.m2_relset_1 D B C)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k1_tarski B))) (=> (and (tptp.v1_funct_1 D) (tptp.m2_relset_1 D A _let_1)) (=> (tptp.r2_hidden C (tptp.k4_relset_1 A _let_1 D)) (= (tptp.k1_funct_1 D C) B))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.m2_relset_1 C A (tptp.k1_tarski B))) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k1_tarski B))) (=> (and (tptp.v1_funct_1 D) (tptp.m2_relset_1 D A _let_1)) (=> (= (tptp.k4_relset_1 A _let_1 C) (tptp.k4_relset_1 A _let_1 D)) (= C D))))))) true true (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted) (C $$unsorted)) (= (tptp.k3_partfun1 A B C) (tptp.k7_relat_1 (tptp.k8_relat_1 C A) B))))) true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (tptp.r1_tarski (tptp.k3_partfun1 C A B) C))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k3_partfun1 C A B))) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (and (tptp.r1_tarski (tptp.k4_relset_1 A B _let_1) (tptp.k1_relat_1 C)) (tptp.r1_tarski (tptp.k2_relat_1 _let_1) (tptp.k2_relat_1 C)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.v1_relat_1 D) (tptp.v1_funct_1 D)) (= (tptp.r2_hidden A (tptp.k4_relset_1 B C (tptp.k3_partfun1 D B C))) (and (tptp.r2_hidden A (tptp.k1_relat_1 D)) (tptp.r2_hidden A B) (tptp.r2_hidden (tptp.k1_funct_1 D A) C))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k1_funct_1 D A))) (=> (and (tptp.v1_relat_1 D) (tptp.v1_funct_1 D)) (=> (and (tptp.r2_hidden A (tptp.k1_relat_1 D)) (tptp.r2_hidden A B) (tptp.r2_hidden _let_1 C)) (= (tptp.k1_funct_1 (tptp.k3_partfun1 D B C) A) _let_1))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k3_partfun1 D B C))) (=> (and (tptp.v1_relat_1 D) (tptp.v1_funct_1 D)) (=> (tptp.r2_hidden A (tptp.k4_relset_1 B C _let_1)) (= (tptp.k1_funct_1 _let_1 A) (tptp.k1_funct_1 D A)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (forall ((D $$unsorted)) (=> (and (tptp.v1_relat_1 D) (tptp.v1_funct_1 D)) (=> (tptp.r1_tarski C D) (tptp.r1_tarski (tptp.k3_partfun1 C A B) (tptp.k3_partfun1 D A B))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.v1_relat_1 D) (tptp.v1_funct_1 D)) (=> (tptp.r1_tarski A B) (tptp.r1_tarski (tptp.k3_partfun1 D A C) (tptp.k3_partfun1 D B C))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.v1_relat_1 D) (tptp.v1_funct_1 D)) (=> (tptp.r1_tarski A B) (tptp.r1_tarski (tptp.k3_partfun1 D C A) (tptp.k3_partfun1 D C B))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (=> (and (tptp.v1_relat_1 E) (tptp.v1_funct_1 E)) (=> (and (tptp.r1_tarski A B) (tptp.r1_tarski C D)) (tptp.r1_tarski (tptp.k3_partfun1 E A C) (tptp.k3_partfun1 E B D))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (=> (and (tptp.r1_tarski (tptp.k1_relat_1 C) A) (tptp.r1_tarski (tptp.k2_relat_1 C) B)) (= C (tptp.k3_partfun1 C A B))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (= A (tptp.k3_partfun1 A (tptp.k1_relat_1 A) (tptp.k2_relat_1 A))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.m2_relset_1 C A B)) (= (tptp.k3_partfun1 C A B) C))) true true true (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.k3_partfun1 tptp.k1_xboole_0 A B) tptp.k1_xboole_0)) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.v1_relat_1 D) (tptp.v1_funct_1 D)) (forall ((E $$unsorted)) (=> (and (tptp.v1_relat_1 E) (tptp.v1_funct_1 E)) (tptp.r1_tarski (tptp.k1_partfun1 C A A B (tptp.k3_partfun1 D C A) (tptp.k3_partfun1 E A B)) (tptp.k3_partfun1 (tptp.k5_relat_1 D E) C B)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.v1_relat_1 D) (tptp.v1_funct_1 D)) (forall ((E $$unsorted)) (=> (and (tptp.v1_relat_1 E) (tptp.v1_funct_1 E)) (=> (tptp.r1_tarski (tptp.k3_xboole_0 (tptp.k2_relat_1 D) (tptp.k1_relat_1 E)) A) (= (tptp.k1_partfun1 C A A B (tptp.k3_partfun1 D C A) (tptp.k3_partfun1 E A B)) (tptp.k3_partfun1 (tptp.k5_relat_1 D E) C B))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (=> (tptp.v2_funct_1 C) (tptp.v2_funct_1 (tptp.k3_partfun1 C A B))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (=> (tptp.v2_funct_1 C) (= (tptp.k2_funct_1 (tptp.k3_partfun1 C A B)) (tptp.k3_partfun1 (tptp.k2_funct_1 C) B A))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.v1_relat_1 D) (tptp.v1_funct_1 D)) (= (tptp.k2_partfun1 A B (tptp.k3_partfun1 D A B) C) (tptp.k3_partfun1 D (tptp.k3_xboole_0 A C) B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.v1_relat_1 D) (tptp.v1_funct_1 D)) (= (tptp.k9_relset_1 B C A (tptp.k3_partfun1 D B C)) (tptp.k3_partfun1 D B (tptp.k3_xboole_0 A C))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.m2_relset_1 C A B) (= (tptp.v1_partfun1 C A B) (= (tptp.k4_relset_1 A B C) A)))) true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.m2_relset_1 C A B)) (=> (and (tptp.v1_partfun1 C A B) (= B tptp.k1_xboole_0)) (= A tptp.k1_xboole_0)))) true true true true true true true true true true true true (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_funct_1 B) (tptp.m2_relset_1 B tptp.k1_xboole_0 A)) (tptp.v1_partfun1 B tptp.k1_xboole_0 A))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (=> (tptp.v1_partfun1 (tptp.k3_partfun1 C A B) A B) (tptp.r1_tarski A (tptp.k1_relat_1 C))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.v1_partfun1 (tptp.k3_partfun1 tptp.k1_xboole_0 A B) A B) (= A tptp.k1_xboole_0))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (=> (and (tptp.r1_tarski A (tptp.k1_relat_1 C)) (tptp.r1_tarski (tptp.k2_relat_1 C) B)) (tptp.v1_partfun1 (tptp.k3_partfun1 C A B) A B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (=> (tptp.v1_partfun1 (tptp.k3_partfun1 C A B) A B) (tptp.r1_tarski (tptp.k9_relat_1 C A) B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (=> (and (tptp.r1_tarski A (tptp.k1_relat_1 C)) (tptp.r1_tarski (tptp.k9_relat_1 C A) B)) (tptp.v1_partfun1 (tptp.k3_partfun1 C A B) A B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (= C (tptp.k4_partfun1 A B)) (forall ((D $$unsorted)) (= (tptp.r2_hidden D C) (exists ((E $$unsorted)) (and (tptp.v1_relat_1 E) (tptp.v1_funct_1 E) (= D E) (tptp.r1_tarski (tptp.k1_relat_1 E) A) (tptp.r1_tarski (tptp.k2_relat_1 E) B))))))) true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.m2_relset_1 C A B)) (tptp.r2_hidden C (tptp.k4_partfun1 A B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.r2_hidden C (tptp.k4_partfun1 A B)) (and (tptp.v1_funct_1 C) (tptp.m2_relset_1 C A B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k4_partfun1 A B)) (and (tptp.v1_funct_1 C) (tptp.m2_relset_1 C A B)))) (forall ((A $$unsorted)) (= (tptp.k4_partfun1 tptp.k1_xboole_0 A) (tptp.k1_tarski tptp.k1_xboole_0))) (forall ((A $$unsorted)) (= (tptp.k4_partfun1 A tptp.k1_xboole_0) (tptp.k1_tarski tptp.k1_xboole_0))) true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.r1_tarski A B) (tptp.r1_tarski (tptp.k4_partfun1 A C) (tptp.k4_partfun1 B C)))) (forall ((A $$unsorted) (B $$unsorted)) (tptp.r1_tarski (tptp.k4_partfun1 tptp.k1_xboole_0 A) (tptp.k4_partfun1 B A))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.r1_tarski A B) (tptp.r1_tarski (tptp.k4_partfun1 C A) (tptp.k4_partfun1 C B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.r1_tarski A B) (tptp.r1_tarski C D)) (tptp.r1_tarski (tptp.k4_partfun1 A C) (tptp.k4_partfun1 B D)))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (= (tptp.r1_partfun1 A B) (forall ((C $$unsorted)) (=> (tptp.r2_hidden C (tptp.k3_xboole_0 (tptp.k1_relat_1 A) (tptp.k1_relat_1 B))) (= (tptp.k1_funct_1 A C) (tptp.k1_funct_1 B C))))))))) true (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (= (tptp.r1_partfun1 A B) (exists ((C $$unsorted)) (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C) (= (tptp.k2_xboole_0 A B) C)))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (= (tptp.r1_partfun1 A B) (exists ((C $$unsorted)) (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C) (tptp.r1_tarski A C) (tptp.r1_tarski B C)))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (=> (tptp.r1_tarski (tptp.k1_relat_1 A) (tptp.k1_relat_1 B)) (= (tptp.r1_partfun1 A B) (forall ((C $$unsorted)) (=> (tptp.r2_hidden C (tptp.k1_relat_1 A)) (= (tptp.k1_funct_1 A C) (tptp.k1_funct_1 B C)))))))))) true true (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (=> (tptp.r1_tarski A B) (tptp.r1_partfun1 A B)))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (=> (and (= (tptp.k1_relat_1 A) (tptp.k1_relat_1 B)) (tptp.r1_partfun1 A B)) (= A B)))))) true (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (=> (tptp.r1_xboole_0 (tptp.k1_relat_1 A) (tptp.k1_relat_1 B)) (tptp.r1_partfun1 A B)))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (forall ((C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (=> (and (tptp.r1_tarski A C) (tptp.r1_tarski B C)) (tptp.r1_partfun1 A B)))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.m2_relset_1 C A B)) (forall ((D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.m2_relset_1 D A B)) (forall ((E $$unsorted)) (=> (and (tptp.v1_relat_1 E) (tptp.v1_funct_1 E)) (=> (and (tptp.r1_partfun1 C E) (tptp.r1_tarski D C)) (tptp.r1_partfun1 D E)))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (tptp.r1_partfun1 tptp.k1_xboole_0 A))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (tptp.r1_partfun1 (tptp.k3_partfun1 tptp.k1_xboole_0 A B) C))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.m2_relset_1 C A (tptp.k1_tarski B))) (forall ((D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.m2_relset_1 D A (tptp.k1_tarski B))) (tptp.r1_partfun1 C D))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (tptp.r1_partfun1 (tptp.k7_relat_1 B A) B))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (tptp.r1_partfun1 (tptp.k8_relat_1 A B) B))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (tptp.r1_partfun1 (tptp.k7_relat_1 (tptp.k8_relat_1 A C) B) C))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (tptp.r1_partfun1 (tptp.k3_partfun1 C A B) C))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.m2_relset_1 C A B)) (forall ((D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.m2_relset_1 D A B)) (=> (and (tptp.v1_partfun1 C A B) (tptp.v1_partfun1 D A B) (tptp.r1_partfun1 C D)) (= C D)))))) true true true true true true true true true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.m2_relset_1 C A B)) (forall ((D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.m2_relset_1 D A B)) (forall ((E $$unsorted)) (=> (and (tptp.v1_funct_1 E) (tptp.m2_relset_1 E A B)) (=> (and (tptp.r1_partfun1 C E) (tptp.r1_partfun1 D E) (tptp.v1_partfun1 E A B)) (tptp.r1_partfun1 C D)))))))) true true true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.m2_relset_1 C A B)) (forall ((D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.m2_relset_1 D A B)) (not (and (=> (= B tptp.k1_xboole_0) (= A tptp.k1_xboole_0)) (tptp.r1_partfun1 C D) (forall ((E $$unsorted)) (=> (and (tptp.v1_funct_1 E) (tptp.m2_relset_1 E A B)) (not (and (tptp.v1_partfun1 E A B) (tptp.r1_partfun1 C E) (tptp.r1_partfun1 D E))))))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.m2_relset_1 C A B)) (forall ((D $$unsorted)) (= (= D (tptp.k5_partfun1 A B C)) (forall ((E $$unsorted)) (= (tptp.r2_hidden E D) (exists ((F $$unsorted)) (and (tptp.v1_funct_1 F) (tptp.m2_relset_1 F A B) (= F E) (tptp.v1_partfun1 F A B) (tptp.r1_partfun1 C F))))))))) true true true true true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.m2_relset_1 C A B)) (forall ((D $$unsorted)) (=> (tptp.r2_hidden D (tptp.k5_partfun1 A B C)) (and (tptp.v1_funct_1 D) (tptp.m2_relset_1 D A B)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.m2_relset_1 C A B)) (forall ((D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.m2_relset_1 D A B)) (=> (tptp.r2_hidden D (tptp.k5_partfun1 A B C)) (tptp.v1_partfun1 D A B)))))) true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.m2_relset_1 C A B)) (forall ((D $$unsorted)) (=> (and (tptp.v1_relat_1 D) (tptp.v1_funct_1 D)) (=> (tptp.r2_hidden D (tptp.k5_partfun1 A B C)) (tptp.r1_partfun1 C D)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_funct_1 B) (tptp.m2_relset_1 B A tptp.k1_xboole_0)) (=> (not (= A tptp.k1_xboole_0)) (= (tptp.k5_partfun1 A tptp.k1_xboole_0 B) tptp.k1_xboole_0)))) true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.m2_relset_1 C A B)) (= (tptp.v1_partfun1 C A B) (= (tptp.k5_partfun1 A B C) (tptp.k1_tarski C))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_funct_1 B) (tptp.m2_relset_1 B tptp.k1_xboole_0 A)) (= (tptp.k5_partfun1 tptp.k1_xboole_0 A B) (tptp.k1_tarski B)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_funct_1 B) (tptp.m2_relset_1 B tptp.k1_xboole_0 A)) (= (tptp.k5_partfun1 tptp.k1_xboole_0 A B) (tptp.k1_tarski tptp.k1_xboole_0)))) true true true true true true true true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.m2_relset_1 C A B)) (forall ((D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.m2_relset_1 D A B)) (=> (not (tptp.r1_xboole_0 (tptp.k5_partfun1 A B C) (tptp.k5_partfun1 A B D))) (tptp.r1_partfun1 C D)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.m2_relset_1 C A B)) (forall ((D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.m2_relset_1 D A B)) (not (and (=> (= B tptp.k1_xboole_0) (= A tptp.k1_xboole_0)) (tptp.r1_partfun1 C D) (tptp.r1_xboole_0 (tptp.k5_partfun1 A B C) (tptp.k5_partfun1 A B D)))))))) (exists ((A $$unsorted)) (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (= (tptp.k1_relat_1 A) tptp.f1_s1_partfun1) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k1_funct_1 A B))) (let ((_let_2 (tptp.p1_s1_partfun1 B))) (=> (tptp.r2_hidden B tptp.f1_s1_partfun1) (and (=> _let_2 (= _let_1 (tptp.f2_s1_partfun1 B))) (=> (not _let_2) (= _let_1 (tptp.f3_s1_partfun1 B)))))))))) (=> (and (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.r2_hidden A tptp.f1_s2_partfun1) (tptp.p1_s2_partfun1 A B)) (tptp.r2_hidden B tptp.f2_s2_partfun1))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.r2_hidden A tptp.f1_s2_partfun1) (tptp.p1_s2_partfun1 A B) (tptp.p1_s2_partfun1 A C)) (= B C)))) (exists ((A $$unsorted)) (and (tptp.v1_funct_1 A) (tptp.m2_relset_1 A tptp.f1_s2_partfun1 tptp.f2_s2_partfun1) (forall ((B $$unsorted)) (= (tptp.r2_hidden B (tptp.k4_relset_1 tptp.f1_s2_partfun1 tptp.f2_s2_partfun1 A)) (and (tptp.r2_hidden B tptp.f1_s2_partfun1) (exists ((C $$unsorted)) (tptp.p1_s2_partfun1 B C))))) (forall ((B $$unsorted)) (=> (tptp.r2_hidden B (tptp.k4_relset_1 tptp.f1_s2_partfun1 tptp.f2_s2_partfun1 A)) (tptp.p1_s2_partfun1 B (tptp.k1_funct_1 A B))))))) (=> (forall ((A $$unsorted)) (=> (tptp.p1_s3_partfun1 A) (tptp.r2_hidden (tptp.f3_s3_partfun1 A) tptp.f2_s3_partfun1))) (exists ((A $$unsorted)) (and (tptp.v1_funct_1 A) (tptp.m2_relset_1 A tptp.f1_s3_partfun1 tptp.f2_s3_partfun1) (forall ((B $$unsorted)) (= (tptp.r2_hidden B (tptp.k4_relset_1 tptp.f1_s3_partfun1 tptp.f2_s3_partfun1 A)) (and (tptp.r2_hidden B tptp.f1_s3_partfun1) (tptp.p1_s3_partfun1 B)))) (forall ((B $$unsorted)) (=> (tptp.r2_hidden B (tptp.k4_relset_1 tptp.f1_s3_partfun1 tptp.f2_s3_partfun1 A)) (= (tptp.k1_funct_1 A B) (tptp.f3_s3_partfun1 B))))))) (=> (and (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.r2_hidden A tptp.f1_s4_partfun1) (tptp.r2_hidden B tptp.f2_s4_partfun1) (tptp.p1_s4_partfun1 A B C)) (tptp.r2_hidden C tptp.f3_s4_partfun1))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.r2_hidden A tptp.f1_s4_partfun1) (tptp.r2_hidden B tptp.f2_s4_partfun1) (tptp.p1_s4_partfun1 A B C) (tptp.p1_s4_partfun1 A B D)) (= C D)))) (exists ((A $$unsorted)) (and (tptp.v1_funct_1 A) (tptp.m2_relset_1 A (tptp.k2_zfmisc_1 tptp.f1_s4_partfun1 tptp.f2_s4_partfun1) tptp.f3_s4_partfun1) (forall ((B $$unsorted) (C $$unsorted)) (= (tptp.r2_hidden (tptp.k4_tarski B C) (tptp.k4_relset_1 (tptp.k2_zfmisc_1 tptp.f1_s4_partfun1 tptp.f2_s4_partfun1) tptp.f3_s4_partfun1 A)) (and (tptp.r2_hidden B tptp.f1_s4_partfun1) (tptp.r2_hidden C tptp.f2_s4_partfun1) (exists ((D $$unsorted)) (tptp.p1_s4_partfun1 B C D))))) (forall ((B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k4_tarski B C))) (=> (tptp.r2_hidden _let_1 (tptp.k4_relset_1 (tptp.k2_zfmisc_1 tptp.f1_s4_partfun1 tptp.f2_s4_partfun1) tptp.f3_s4_partfun1 A)) (tptp.p1_s4_partfun1 B C (tptp.k1_funct_1 A _let_1)))))))) (=> (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.p1_s5_partfun1 A B) (tptp.r2_hidden (tptp.f4_s5_partfun1 A B) tptp.f3_s5_partfun1))) (exists ((A $$unsorted)) (and (tptp.v1_funct_1 A) (tptp.m2_relset_1 A (tptp.k2_zfmisc_1 tptp.f1_s5_partfun1 tptp.f2_s5_partfun1) tptp.f3_s5_partfun1) (forall ((B $$unsorted) (C $$unsorted)) (= (tptp.r2_hidden (tptp.k4_tarski B C) (tptp.k4_relset_1 (tptp.k2_zfmisc_1 tptp.f1_s5_partfun1 tptp.f2_s5_partfun1) tptp.f3_s5_partfun1 A)) (and (tptp.r2_hidden B tptp.f1_s5_partfun1) (tptp.r2_hidden C tptp.f2_s5_partfun1) (tptp.p1_s5_partfun1 B C)))) (forall ((B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k4_tarski B C))) (=> (tptp.r2_hidden _let_1 (tptp.k4_relset_1 (tptp.k2_zfmisc_1 tptp.f1_s5_partfun1 tptp.f2_s5_partfun1) tptp.f3_s5_partfun1 A)) (= (tptp.k1_funct_1 A _let_1) (tptp.f4_s5_partfun1 B C)))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (=> (tptp.r1_partfun1 A B) (tptp.r1_partfun1 B A)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (tptp.r1_partfun1 A A))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted)) (let ((_let_1 (tptp.k1_partfun1 A B C D E F))) (=> (and (tptp.v1_funct_1 E) (tptp.m1_relset_1 E A B) (tptp.v1_funct_1 F) (tptp.m1_relset_1 F C D)) (and (tptp.v1_funct_1 _let_1) (tptp.m2_relset_1 _let_1 A D))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted)) (=> (and (tptp.v1_funct_1 E) (tptp.m1_relset_1 E A B) (tptp.v1_funct_1 F) (tptp.m1_relset_1 F C D)) (= (tptp.k1_partfun1 A B C D E F) (tptp.k5_relat_1 E F)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k2_partfun1 A B C D))) (=> (and (tptp.v1_funct_1 C) (tptp.m1_relset_1 C A B)) (and (tptp.v1_funct_1 _let_1) (tptp.m2_relset_1 _let_1 A B))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.m1_relset_1 C A B)) (= (tptp.k2_partfun1 A B C D) (tptp.k7_relat_1 C D)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k3_partfun1 A B C))) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (and (tptp.v1_funct_1 _let_1) (tptp.m2_relset_1 _let_1 B C))))) true true (forall ((A $$unsorted)) (let ((_let_1 (tptp.k6_partfun1 A))) (and (tptp.v1_partfun1 _let_1 A A) (tptp.m2_relset_1 _let_1 A A)))) _let_76 (forall ((A $$unsorted) (B $$unsorted)) (exists ((C $$unsorted)) (and (tptp.m1_relset_1 C A B) (tptp.v1_relat_1 C) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C A B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.v1_funct_1 C))) (=> (tptp.m1_relset_1 C A B) (=> (and _let_1 (tptp.v1_partfun1 C A B)) (and _let_1 (tptp.v1_funct_2 C A B)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (not (tptp.v1_xboole_0 (tptp.k1_funct_2 A B))))) (forall ((A $$unsorted)) (not (tptp.v1_xboole_0 (tptp.k1_funct_2 A A)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.v1_funct_2 C A B))) (let ((_let_2 (tptp.v1_funct_1 C))) (=> (tptp.m1_relset_1 C A B) (=> (and _let_2 _let_1 (tptp.v3_funct_2 C A B)) (and _let_2 (tptp.v2_funct_1 C) _let_1 (tptp.v2_funct_2 C A B))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.v1_funct_2 C A B))) (let ((_let_2 (tptp.v1_funct_1 C))) (=> (tptp.m1_relset_1 C A B) (=> (and _let_2 (tptp.v2_funct_1 C) _let_1 (tptp.v2_funct_2 C A B)) (and _let_2 _let_1 (tptp.v3_funct_2 C A B))))))) (forall ((A $$unsorted)) (exists ((B $$unsorted)) (and (tptp.m1_relset_1 B A A) (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (tptp.v2_funct_1 B) (tptp.v1_funct_2 B A A) (tptp.v2_funct_2 B A A) (tptp.v3_funct_2 B A A)))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.v1_funct_2 B A A))) (let ((_let_2 (tptp.v1_funct_1 B))) (=> (tptp.m1_relset_1 B A A) (=> (and _let_2 (tptp.v1_partfun1 B A A) (tptp.v1_relat_2 B) _let_1) (and _let_2 (tptp.v2_funct_1 B) _let_1 (tptp.v2_funct_2 B A A) (tptp.v3_funct_2 B A A))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.v1_funct_2 C A B))) (let ((_let_2 (tptp.v1_funct_1 C))) (=> (tptp.m1_relset_1 C A B) (=> (and _let_2 _let_1) (and _let_2 (tptp.v1_partfun1 C A B) _let_1)))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (not (tptp.v1_xboole_0 B))) (forall ((C $$unsorted)) (let ((_let_1 (tptp.v1_funct_2 C A B))) (let ((_let_2 (tptp.v1_funct_1 C))) (=> (tptp.m1_relset_1 C A B) (=> (and _let_2 _let_1) (and _let_2 (not (tptp.v1_xboole_0 C)) (tptp.v1_partfun1 C A B) _let_1)))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.v1_funct_2 C A B))) (let ((_let_2 (= A tptp.k1_xboole_0))) (let ((_let_3 (= B tptp.k1_xboole_0))) (=> (tptp.m2_relset_1 C A B) (and (=> (=> _let_3 _let_2) (= _let_1 (= A (tptp.k4_relset_1 A B C)))) (=> _let_3 (or _let_2 (= _let_1 (= C tptp.k1_xboole_0)))))))))) true true (forall ((A $$unsorted)) (let ((_let_1 (tptp.k2_relat_1 A))) (let ((_let_2 (tptp.k1_relat_1 A))) (let ((_let_3 (tptp.v1_funct_1 A))) (=> (and (tptp.v1_relat_1 A) _let_3) (and _let_3 (tptp.v1_funct_2 A _let_2 _let_1) (tptp.m2_relset_1 A _let_2 _let_1))))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k1_relat_1 B))) (let ((_let_2 (tptp.v1_funct_1 B))) (=> (and (tptp.v1_relat_1 B) _let_2) (=> (tptp.r1_tarski (tptp.k2_relat_1 B) A) (and _let_2 (tptp.v1_funct_2 B _let_1 A) (tptp.m2_relset_1 B _let_1 A))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.v1_funct_1 C))) (=> (and (tptp.v1_relat_1 C) _let_1) (=> (and (= (tptp.k1_relat_1 C) A) (forall ((D $$unsorted)) (=> (tptp.r2_hidden D A) (tptp.r2_hidden (tptp.k1_funct_1 C D) B)))) (and _let_1 (tptp.v1_funct_2 C A B) (tptp.m2_relset_1 C A B)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D A B) (tptp.m2_relset_1 D A B)) (=> (tptp.r2_hidden C A) (or (= B tptp.k1_xboole_0) (tptp.r2_hidden (tptp.k1_funct_1 D C) (tptp.k2_relat_1 D)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D A B) (tptp.m2_relset_1 D A B)) (=> (tptp.r2_hidden C A) (or (= B tptp.k1_xboole_0) (tptp.r2_hidden (tptp.k1_funct_1 D C) B))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.v1_funct_1 D))) (=> (and _let_1 (tptp.v1_funct_2 D A B) (tptp.m2_relset_1 D A B)) (=> (tptp.r1_tarski (tptp.k2_relat_1 D) C) (or (and (= B tptp.k1_xboole_0) (not (= A tptp.k1_xboole_0))) (and _let_1 (tptp.v1_funct_2 D A C) (tptp.m2_relset_1 D A C))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.v1_funct_1 D))) (=> (and _let_1 (tptp.v1_funct_2 D A B) (tptp.m2_relset_1 D A B)) (=> (tptp.r1_tarski B C) (or (and (= B tptp.k1_xboole_0) (not (= A tptp.k1_xboole_0))) (and _let_1 (tptp.v1_funct_2 D A C) (tptp.m2_relset_1 D A C))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (= C (tptp.k1_funct_2 A B)) (forall ((D $$unsorted)) (= (tptp.r2_hidden D C) (exists ((E $$unsorted)) (and (tptp.v1_relat_1 E) (tptp.v1_funct_1 E) (= D E) (= (tptp.k1_relat_1 E) A) (tptp.r1_tarski (tptp.k2_relat_1 E) B))))))) true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C A B) (tptp.m2_relset_1 C A B)) (=> (=> (= B tptp.k1_xboole_0) (= A tptp.k1_xboole_0)) (tptp.r2_hidden C (tptp.k1_funct_2 A B))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B A A) (tptp.m2_relset_1 B A A)) (tptp.r2_hidden B (tptp.k1_funct_2 A A)))) true (forall ((A $$unsorted)) (=> (not (= A tptp.k1_xboole_0)) (= (tptp.k1_funct_2 A tptp.k1_xboole_0) tptp.k1_xboole_0))) true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C A B) (tptp.m2_relset_1 C A B)) (=> (forall ((D $$unsorted)) (not (and (tptp.r2_hidden D B) (forall ((E $$unsorted)) (not (and (tptp.r2_hidden E A) (= D (tptp.k1_funct_1 C E)))))))) (or (= B tptp.k1_xboole_0) (= (tptp.k2_relat_1 C) B))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D A B) (tptp.m2_relset_1 D A B)) (not (and (tptp.r2_hidden C B) (= (tptp.k2_relat_1 D) B) (forall ((E $$unsorted)) (not (and (tptp.r2_hidden E A) (= (tptp.k1_funct_1 D E) C)))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C A B) (tptp.m2_relset_1 C A B)) (forall ((D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D A B) (tptp.m2_relset_1 D A B)) (=> (forall ((E $$unsorted)) (=> (tptp.r2_hidden E A) (= (tptp.k1_funct_1 C E) (tptp.k1_funct_1 D E)))) (= C D)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D A B) (tptp.m2_relset_1 D A B)) (forall ((E $$unsorted)) (let ((_let_1 (tptp.k1_partfun1 A B B C D E))) (=> (and (tptp.v1_funct_1 E) (tptp.v1_funct_2 E B C) (tptp.m2_relset_1 E B C)) (=> (not (and (= B tptp.k1_xboole_0) (not (= C tptp.k1_xboole_0)) (not (= A tptp.k1_xboole_0)))) (and (tptp.v1_funct_1 _let_1) (tptp.v1_funct_2 _let_1 A C) (tptp.m2_relset_1 _let_1 A C)))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D A B) (tptp.m2_relset_1 D A B)) (forall ((E $$unsorted)) (=> (and (tptp.v1_funct_1 E) (tptp.v1_funct_2 E B C) (tptp.m2_relset_1 E B C)) (=> (and (= (tptp.k2_relat_1 D) B) (= (tptp.k2_relat_1 E) C)) (or (= B tptp.k1_xboole_0) (= C tptp.k1_xboole_0) (= (tptp.k2_relat_1 (tptp.k1_partfun1 A B B C D E)) C))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D A B) (tptp.m2_relset_1 D A B)) (forall ((E $$unsorted)) (=> (and (tptp.v1_relat_1 E) (tptp.v1_funct_1 E)) (=> (tptp.r2_hidden C A) (or (= B tptp.k1_xboole_0) (= (tptp.k1_funct_1 (tptp.k5_relat_1 D E) C) (tptp.k1_funct_1 E (tptp.k1_funct_1 D C))))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C A B) (tptp.m2_relset_1 C A B)) (=> (not (= B tptp.k1_xboole_0)) (= (= (tptp.k2_relat_1 C) B) (forall ((D $$unsorted)) (=> (not (= D tptp.k1_xboole_0)) (forall ((E $$unsorted)) (=> (and (tptp.v1_funct_1 E) (tptp.v1_funct_2 E B D) (tptp.m2_relset_1 E B D)) (forall ((F $$unsorted)) (=> (and (tptp.v1_funct_1 F) (tptp.v1_funct_2 F B D) (tptp.m2_relset_1 F B D)) (=> (= (tptp.k1_partfun1 A B B D C E) (tptp.k1_partfun1 A B B D C F)) (= E F)))))))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.m2_relset_1 C A B) (and (= (tptp.k7_relset_1 A A A B (tptp.k6_partfun1 A) C) C) (= (tptp.k7_relset_1 A B B B C (tptp.k6_partfun1 B)) C)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C A B) (tptp.m2_relset_1 C A B)) (forall ((D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D B A) (tptp.m2_relset_1 D B A)) (=> (= (tptp.k1_partfun1 B A A B D C) (tptp.k6_partfun1 B)) (= (tptp.k2_relat_1 C) B)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C A B) (tptp.m2_relset_1 C A B)) (=> (=> (= B tptp.k1_xboole_0) (= A tptp.k1_xboole_0)) (= (tptp.v2_funct_1 C) (forall ((D $$unsorted) (E $$unsorted)) (=> (and (tptp.r2_hidden D A) (tptp.r2_hidden E A) (= (tptp.k1_funct_1 C D) (tptp.k1_funct_1 C E))) (= D E))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D A B) (tptp.m2_relset_1 D A B)) (forall ((E $$unsorted)) (let ((_let_1 (= B tptp.k1_xboole_0))) (=> (and (tptp.v1_funct_1 E) (tptp.v1_funct_2 E B C) (tptp.m2_relset_1 E B C)) (=> (tptp.v2_funct_1 (tptp.k1_partfun1 A B B C D E)) (or (and (= C tptp.k1_xboole_0) (not _let_1)) (and _let_1 (not (= A tptp.k1_xboole_0))) (tptp.v2_funct_1 D)))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C A B) (tptp.m2_relset_1 C A B)) (not (and (not (= A tptp.k1_xboole_0)) (not (= B tptp.k1_xboole_0)) (not (= (tptp.v2_funct_1 C) (forall ((D $$unsorted) (E $$unsorted)) (=> (and (tptp.v1_funct_1 E) (tptp.v1_funct_2 E D A) (tptp.m2_relset_1 E D A)) (forall ((F $$unsorted)) (=> (and (tptp.v1_funct_1 F) (tptp.v1_funct_2 F D A) (tptp.m2_relset_1 F D A)) (=> (= (tptp.k1_partfun1 D A A B E C) (tptp.k1_partfun1 D A A B F C)) (= E F)))))))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D A B) (tptp.m2_relset_1 D A B)) (forall ((E $$unsorted)) (=> (and (tptp.v1_funct_1 E) (tptp.v1_funct_2 E B C) (tptp.m2_relset_1 E B C)) (=> (and (= (tptp.k2_relat_1 (tptp.k1_partfun1 A B B C D E)) C) (tptp.v2_funct_1 E)) (or (= C tptp.k1_xboole_0) (= (tptp.k2_relat_1 D) B))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C A B) (tptp.m2_relset_1 C A B)) (forall ((D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D B A) (tptp.m2_relset_1 D B A)) (=> (= (tptp.k1_partfun1 A B B A C D) (tptp.k6_partfun1 A)) (or (= B tptp.k1_xboole_0) (and (tptp.v2_funct_1 C) (= (tptp.k2_relat_1 D) A)))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D A B) (tptp.m2_relset_1 D A B)) (forall ((E $$unsorted)) (=> (and (tptp.v1_funct_1 E) (tptp.v1_funct_2 E B C) (tptp.m2_relset_1 E B C)) (=> (and (tptp.v2_funct_1 (tptp.k1_partfun1 A B B C D E)) (= (tptp.k2_relat_1 D) B)) (or (and (= C tptp.k1_xboole_0) (not (= B tptp.k1_xboole_0))) (and (tptp.v2_funct_1 D) (tptp.v2_funct_1 E)))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k2_funct_1 C))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C A B) (tptp.m2_relset_1 C A B)) (=> (and (tptp.v2_funct_1 C) (= (tptp.k2_relat_1 C) B)) (and (tptp.v1_funct_1 _let_1) (tptp.v1_funct_2 _let_1 B A) (tptp.m2_relset_1 _let_1 B A)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D A B) (tptp.m2_relset_1 D A B)) (=> (and (tptp.v2_funct_1 D) (tptp.r2_hidden C A)) (or (= B tptp.k1_xboole_0) (= (tptp.k1_funct_1 (tptp.k2_funct_1 D) (tptp.k1_funct_1 D C)) C))))) true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C A B) (tptp.m2_relset_1 C A B)) (forall ((D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D B A) (tptp.m2_relset_1 D B A)) (=> (and (= (tptp.k2_relat_1 C) B) (tptp.v2_funct_1 C) (forall ((E $$unsorted) (F $$unsorted)) (let ((_let_1 (and (tptp.r2_hidden E B) (= (tptp.k1_funct_1 D E) F)))) (let ((_let_2 (and (tptp.r2_hidden F A) (= (tptp.k1_funct_1 C F) E)))) (and (=> _let_1 _let_2) (=> _let_2 _let_1)))))) (or (= A tptp.k1_xboole_0) (= B tptp.k1_xboole_0) (= D (tptp.k2_funct_1 C)))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k2_funct_1 C))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C A B) (tptp.m2_relset_1 C A B)) (=> (and (= (tptp.k2_relat_1 C) B) (tptp.v2_funct_1 C)) (or (= B tptp.k1_xboole_0) (and (= (tptp.k5_relat_1 C _let_1) (tptp.k6_partfun1 A)) (= (tptp.k5_relat_1 _let_1 C) (tptp.k6_partfun1 B)))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C A B) (tptp.m2_relset_1 C A B)) (forall ((D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D B A) (tptp.m2_relset_1 D B A)) (=> (and (= (tptp.k2_relat_1 C) B) (= (tptp.k1_partfun1 A B B A C D) (tptp.k6_partfun1 A)) (tptp.v2_funct_1 C)) (or (= A tptp.k1_xboole_0) (= B tptp.k1_xboole_0) (= D (tptp.k2_funct_1 C)))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C A B) (tptp.m2_relset_1 C A B)) (not (and (not (= B tptp.k1_xboole_0)) (exists ((D $$unsorted)) (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D B A) (tptp.m2_relset_1 D B A) (= (tptp.k1_partfun1 A B B A C D) (tptp.k6_partfun1 A)))) (not (tptp.v2_funct_1 C)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k2_partfun1 A B D C))) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D A B) (tptp.m2_relset_1 D A B)) (=> (tptp.r1_tarski C A) (or (and (= B tptp.k1_xboole_0) (not (= A tptp.k1_xboole_0))) (and (tptp.v1_funct_1 _let_1) (tptp.v1_funct_2 _let_1 C B) (tptp.m2_relset_1 _let_1 C B))))))) true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D A B) (tptp.m2_relset_1 D A B)) (=> (tptp.r1_tarski A C) (= (tptp.k2_partfun1 A B D C) D)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (let ((_let_1 (tptp.k1_funct_1 E C))) (=> (and (tptp.v1_funct_1 E) (tptp.v1_funct_2 E A B) (tptp.m2_relset_1 E A B)) (=> (and (tptp.r2_hidden C A) (tptp.r2_hidden _let_1 D)) (or (= B tptp.k1_xboole_0) (= (tptp.k1_funct_1 (tptp.k9_relset_1 A B D E) C) _let_1)))))) true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D A B) (tptp.m2_relset_1 D A B)) (=> (not (= B tptp.k1_xboole_0)) (forall ((E $$unsorted)) (=> (exists ((F $$unsorted)) (and (tptp.r2_hidden F A) (tptp.r2_hidden F C) (= E (tptp.k1_funct_1 D F)))) (tptp.r2_hidden E (tptp.k9_relat_1 D C))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D A B) (tptp.m2_relset_1 D A B)) (tptp.r1_tarski (tptp.k9_relat_1 D C) B))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C A B) (tptp.m2_relset_1 C A B)) (=> (=> (= B tptp.k1_xboole_0) (= A tptp.k1_xboole_0)) (= (tptp.k2_funct_2 A B C A) (tptp.k2_relat_1 C))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D A B) (tptp.m2_relset_1 D A B)) (=> (not (= B tptp.k1_xboole_0)) (forall ((E $$unsorted)) (= (tptp.r2_hidden E (tptp.k10_relat_1 D C)) (and (tptp.r2_hidden E A) (tptp.r2_hidden (tptp.k1_funct_1 D E) C))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.m2_relset_1 D A B)) (tptp.r1_tarski (tptp.k10_relat_1 D C) A))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C A B) (tptp.m2_relset_1 C A B)) (=> (=> (= B tptp.k1_xboole_0) (= A tptp.k1_xboole_0)) (= (tptp.k3_funct_2 A B C B) A)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C A B) (tptp.m2_relset_1 C A B)) (= (forall ((D $$unsorted)) (not (and (tptp.r2_hidden D B) (= (tptp.k3_funct_2 A B C (tptp.k1_tarski D)) tptp.k1_xboole_0)))) (= (tptp.k2_relat_1 C) B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D A B) (tptp.m2_relset_1 D A B)) (=> (tptp.r1_tarski C A) (or (and (= B tptp.k1_xboole_0) (not (= A tptp.k1_xboole_0))) (tptp.r1_tarski C (tptp.k3_funct_2 A B D (tptp.k2_funct_2 A B D C))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C A B) (tptp.m2_relset_1 C A B)) (=> (=> (= B tptp.k1_xboole_0) (= A tptp.k1_xboole_0)) (= (tptp.k3_funct_2 A B C (tptp.k2_funct_2 A B C A)) A)))) true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (=> (and (tptp.v1_funct_1 E) (tptp.v1_funct_2 E A B) (tptp.m2_relset_1 E A B)) (forall ((F $$unsorted)) (let ((_let_1 (= B tptp.k1_xboole_0))) (=> (and (tptp.v1_funct_1 F) (tptp.v1_funct_2 F B C) (tptp.m2_relset_1 F B C)) (not (and (=> (= C tptp.k1_xboole_0) _let_1) (=> _let_1 (= A tptp.k1_xboole_0)) (not (tptp.r1_tarski (tptp.k3_funct_2 A B E D) (tptp.k3_funct_2 A C (tptp.k1_partfun1 A B B C E F) (tptp.k2_funct_2 B C F D))))))))))) true (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.v1_funct_1 B))) (=> (and (tptp.v1_relat_1 B) _let_1) (=> (= (tptp.k1_relat_1 B) tptp.k1_xboole_0) (and _let_1 (tptp.v1_funct_2 B tptp.k1_xboole_0 A) (tptp.m2_relset_1 B tptp.k1_xboole_0 A)))))) true true true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C tptp.k1_xboole_0 A) (tptp.m2_relset_1 C tptp.k1_xboole_0 A)) (= (tptp.k2_funct_2 tptp.k1_xboole_0 A C B) tptp.k1_xboole_0))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C tptp.k1_xboole_0 A) (tptp.m2_relset_1 C tptp.k1_xboole_0 A)) (= (tptp.k3_funct_2 tptp.k1_xboole_0 A C B) tptp.k1_xboole_0))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k1_tarski A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_1 B) (tptp.m2_relset_1 C _let_1 B)) (=> (not (= B tptp.k1_xboole_0)) (tptp.r2_hidden (tptp.k1_funct_1 C A) B))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k1_tarski A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_1 B) (tptp.m2_relset_1 C _let_1 B)) (=> (not (= B tptp.k1_xboole_0)) (= (tptp.k2_relat_1 C) (tptp.k1_tarski (tptp.k1_funct_1 C A))))))) true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k1_tarski A))) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D _let_1 B) (tptp.m2_relset_1 D _let_1 B)) (=> (not (= B tptp.k1_xboole_0)) (tptp.r1_tarski (tptp.k2_funct_2 _let_1 B D C) (tptp.k1_tarski (tptp.k1_funct_1 D A))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k1_tarski B))) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D A _let_1) (tptp.m2_relset_1 D A _let_1)) (=> (tptp.r2_hidden C A) (= (tptp.k1_funct_1 D C) B))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k1_tarski B))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C A _let_1) (tptp.m2_relset_1 C A _let_1)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k1_tarski B))) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D A _let_1) (tptp.m2_relset_1 D A _let_1)) (= C D))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B A A) (tptp.m2_relset_1 B A A)) (and (= (tptp.k4_relset_1 A A B) A) (tptp.r1_tarski (tptp.k2_relat_1 B) A)))) true true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C A A) (tptp.m2_relset_1 C A A)) (forall ((D $$unsorted)) (=> (and (tptp.v1_relat_1 D) (tptp.v1_funct_1 D)) (=> (tptp.r2_hidden B A) (= (tptp.k1_funct_1 (tptp.k5_relat_1 C D) B) (tptp.k1_funct_1 D (tptp.k1_funct_1 C B)))))))) true true (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B A A) (tptp.m2_relset_1 B A A)) (forall ((C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C A A) (tptp.m2_relset_1 C A A)) (=> (and (= (tptp.k2_relat_1 B) A) (= (tptp.k2_relat_1 C) A)) (= (tptp.k2_relat_1 (tptp.k4_funct_2 A B C)) A)))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k6_partfun1 A))) (=> (tptp.m2_relset_1 B A A) (and (= (tptp.k7_relset_1 A A A A B _let_1) B) (= (tptp.k7_relset_1 A A A A _let_1 B) B))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B A A) (tptp.m2_relset_1 B A A)) (forall ((C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C A A) (tptp.m2_relset_1 C A A)) (=> (and (= (tptp.k4_funct_2 A B C) B) (= (tptp.k2_relat_1 B) A)) (= C (tptp.k6_partfun1 A))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B A A) (tptp.m2_relset_1 B A A)) (forall ((C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C A A) (tptp.m2_relset_1 C A A)) (=> (and (= (tptp.k4_funct_2 A C B) B) (tptp.v2_funct_1 B)) (= C (tptp.k6_partfun1 A))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B A A) (tptp.m2_relset_1 B A A)) (= (tptp.v2_funct_1 B) (forall ((C $$unsorted) (D $$unsorted)) (=> (and (tptp.r2_hidden C A) (tptp.r2_hidden D A) (= (tptp.k1_funct_1 B C) (tptp.k1_funct_1 B D))) (= C D)))))) true (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B A A) (tptp.m2_relset_1 B A A)) (= (tptp.k2_funct_2 A A B A) (tptp.k2_relat_1 B)))) true true (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B A A) (tptp.m2_relset_1 B A A)) (= (tptp.k3_funct_2 A A B (tptp.k2_funct_2 A A B A)) A))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C A B) (tptp.m2_relset_1 C A B)) (= (tptp.v2_funct_2 C A B) (= (tptp.k2_relat_1 C) B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C A B) (tptp.m2_relset_1 C A B)) (= (tptp.v3_funct_2 C A B) (and (tptp.v2_funct_1 C) (tptp.v2_funct_2 C A B))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.m2_relset_1 B A A))) (let ((_let_2 (tptp.v1_funct_2 B A A))) (let ((_let_3 (tptp.v1_funct_1 B))) (=> (and _let_3 _let_2 _let_1) (=> (and (tptp.v2_funct_1 B) (= (tptp.k2_relat_1 B) A)) (and _let_3 _let_2 (tptp.v3_funct_2 B A A) _let_1))))))) true (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B A A) (tptp.m2_relset_1 B A A)) (=> (tptp.v2_funct_1 B) (forall ((C $$unsorted) (D $$unsorted)) (=> (and (tptp.r2_hidden C A) (tptp.r2_hidden D A) (= (tptp.k1_funct_1 B C) (tptp.k1_funct_1 B D))) (= C D)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B A A) (tptp.v3_funct_2 B A A) (tptp.m2_relset_1 B A A)) (forall ((C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C A A) (tptp.v3_funct_2 C A A) (tptp.m2_relset_1 C A A)) (=> (= (tptp.k5_funct_2 A B C) C) (= B (tptp.k6_partfun1 A))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B A A) (tptp.v3_funct_2 B A A) (tptp.m2_relset_1 B A A)) (forall ((C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C A A) (tptp.v3_funct_2 C A A) (tptp.m2_relset_1 C A A)) (=> (= (tptp.k5_funct_2 A B C) (tptp.k6_partfun1 A)) (= C (tptp.k6_funct_2 A B))))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k6_partfun1 A))) (let ((_let_2 (tptp.k6_funct_2 A B))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B A A) (tptp.v3_funct_2 B A A) (tptp.m2_relset_1 B A A)) (and (= (tptp.k5_funct_2 A B _let_2) _let_1) (= (tptp.k5_funct_2 A _let_2 B) _let_1)))))) true true true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C A A) (tptp.v3_funct_2 C A A) (tptp.m2_relset_1 C A A)) (=> (tptp.r1_tarski B A) (and (= (tptp.k2_funct_2 A A C (tptp.k3_funct_2 A A C B)) B) (= (tptp.k3_funct_2 A A C (tptp.k2_funct_2 A A C B)) B))))) true true true true true true true true true true true true true true true true true true true true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C A B) (tptp.m2_relset_1 C A B)) (forall ((D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D A B) (tptp.m2_relset_1 D A B)) (=> (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E A) (= (tptp.k1_funct_1 C E) (tptp.k1_funct_1 D E)))) (= C D)))))) true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D A B) (tptp.m2_relset_1 D A B)) (forall ((E $$unsorted)) (not (and (tptp.r2_hidden E (tptp.k2_funct_2 A B D C)) (forall ((F $$unsorted)) (not (and (tptp.r2_hidden F A) (tptp.r2_hidden F C) (= E (tptp.k1_funct_1 D F)))))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D A B) (tptp.m2_relset_1 D A B)) (forall ((E $$unsorted)) (not (and (tptp.r2_hidden E (tptp.k2_funct_2 A B D C)) (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F A) (not (and (tptp.r2_hidden F C) (= E (tptp.k1_funct_1 D F))))))))))) true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A B))) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D _let_1 C) (tptp.m2_relset_1 D _let_1 C)) (forall ((E $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A B))) (=> (and (tptp.v1_funct_1 E) (tptp.v1_funct_2 E _let_1 C) (tptp.m2_relset_1 E _let_1 C)) (=> (forall ((F $$unsorted) (G $$unsorted)) (let ((_let_1 (tptp.k4_tarski F G))) (=> (and (tptp.r2_hidden F A) (tptp.r2_hidden G B)) (= (tptp.k1_funct_1 D _let_1) (tptp.k1_funct_1 E _let_1))))) (= D E)))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A B))) (=> (and (tptp.v1_funct_1 F) (tptp.v1_funct_2 F _let_1 C) (tptp.m2_relset_1 F _let_1 C)) (=> (and (tptp.r2_hidden D A) (tptp.r2_hidden E B)) (or (= C tptp.k1_xboole_0) (tptp.r2_hidden (tptp.k1_funct_1 F (tptp.k4_tarski D E)) C)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A B))) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D _let_1 C) (tptp.m2_relset_1 D _let_1 C)) (forall ((E $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A B))) (=> (and (tptp.v1_funct_1 E) (tptp.v1_funct_2 E _let_1 C) (tptp.m2_relset_1 E _let_1 C)) (=> (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F A) (forall ((G $$unsorted)) (let ((_let_1 (tptp.k4_tarski F G))) (=> (tptp.m1_subset_1 G B) (= (tptp.k1_funct_1 D _let_1) (tptp.k1_funct_1 E _let_1))))))) (= D E)))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.r2_hidden C (tptp.k1_funct_2 A B)) (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C A B) (tptp.m2_relset_1 C A B)))) true true true true true true true true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.m2_relset_1 C A B))) (let ((_let_2 (tptp.v1_funct_1 C))) (=> (and _let_2 _let_1) (=> (= (tptp.k4_relset_1 A B C) A) (and _let_2 (tptp.v1_funct_2 C A B) _let_1)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.m2_relset_1 C A B))) (let ((_let_2 (tptp.v1_funct_1 C))) (=> (and _let_2 _let_1) (=> (tptp.v1_partfun1 C A B) (and _let_2 (tptp.v1_funct_2 C A B) _let_1)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.m2_relset_1 C A B))) (let ((_let_2 (tptp.v1_funct_1 C))) (=> (and _let_2 _let_1) (=> (and _let_2 (tptp.v1_funct_2 C A B) _let_1) (or (and (= B tptp.k1_xboole_0) (not (= A tptp.k1_xboole_0))) (tptp.v1_partfun1 C A B))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C A B) (tptp.m2_relset_1 C A B)) (=> (=> (= B tptp.k1_xboole_0) (= A tptp.k1_xboole_0)) (tptp.v1_partfun1 (tptp.k3_partfun1 C A B) A B)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B A A) (tptp.m2_relset_1 B A A)) (tptp.v1_partfun1 (tptp.k3_partfun1 B A A) A A))) true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.m2_relset_1 C A B)) (not (and (=> (= B tptp.k1_xboole_0) (= A tptp.k1_xboole_0)) (forall ((D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D A B) (tptp.m2_relset_1 D A B)) (exists ((E $$unsorted)) (and (tptp.r2_hidden E (tptp.k4_relset_1 A B C)) (not (= (tptp.k1_funct_1 D E) (tptp.k1_funct_1 C E))))))))))) true true true true (forall ((A $$unsorted) (B $$unsorted)) (tptp.r1_tarski (tptp.k1_funct_2 A B) (tptp.k4_partfun1 A B))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C A B) (tptp.m2_relset_1 C A B)) (forall ((D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D A B) (tptp.m2_relset_1 D A B)) (=> (tptp.r1_partfun1 C D) (or (and (= B tptp.k1_xboole_0) (not (= A tptp.k1_xboole_0))) (= C D))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B A A) (tptp.m2_relset_1 B A A)) (forall ((C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C A A) (tptp.m2_relset_1 C A A)) (=> (tptp.r1_partfun1 B C) (= B C)))))) true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.m2_relset_1 C A B)) (forall ((D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D A B) (tptp.m2_relset_1 D A B)) (=> (=> (= B tptp.k1_xboole_0) (= A tptp.k1_xboole_0)) (= (tptp.r1_partfun1 C D) (forall ((E $$unsorted)) (=> (tptp.r2_hidden E (tptp.k4_relset_1 A B C)) (= (tptp.k1_funct_1 C E) (tptp.k1_funct_1 D E)))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_funct_1 B) (tptp.m2_relset_1 B A A)) (forall ((C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C A A) (tptp.m2_relset_1 C A A)) (= (tptp.r1_partfun1 B C) (forall ((D $$unsorted)) (=> (tptp.r2_hidden D (tptp.k4_relset_1 A A B)) (= (tptp.k1_funct_1 B D) (tptp.k1_funct_1 C D))))))))) true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.m2_relset_1 C A B)) (not (and (=> (= B tptp.k1_xboole_0) (= A tptp.k1_xboole_0)) (forall ((D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D A B) (tptp.m2_relset_1 D A B)) (not (tptp.r1_partfun1 C D)))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_funct_1 B) (tptp.m2_relset_1 B A A)) (exists ((C $$unsorted)) (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C A A) (tptp.m2_relset_1 C A A) (tptp.r1_partfun1 B C))))) true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.m2_relset_1 C A B)) (forall ((D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.m2_relset_1 D A B)) (forall ((E $$unsorted)) (=> (and (tptp.v1_funct_1 E) (tptp.v1_funct_2 E A B) (tptp.m2_relset_1 E A B)) (=> (and (tptp.r1_partfun1 C E) (tptp.r1_partfun1 D E)) (or (and (= B tptp.k1_xboole_0) (not (= A tptp.k1_xboole_0))) (tptp.r1_partfun1 C D))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_funct_1 B) (tptp.m2_relset_1 B A A)) (forall ((C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.m2_relset_1 C A A)) (forall ((D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D A A) (tptp.m2_relset_1 D A A)) (=> (and (tptp.r1_partfun1 B D) (tptp.r1_partfun1 C D)) (tptp.r1_partfun1 B C)))))))) true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.m2_relset_1 C A B)) (forall ((D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.m2_relset_1 D A B)) (not (and (=> (= B tptp.k1_xboole_0) (= A tptp.k1_xboole_0)) (tptp.r1_partfun1 C D) (forall ((E $$unsorted)) (=> (and (tptp.v1_funct_1 E) (tptp.v1_funct_2 E A B) (tptp.m2_relset_1 E A B)) (not (and (tptp.r1_partfun1 C E) (tptp.r1_partfun1 D E))))))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.m2_relset_1 C A B)) (forall ((D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D A B) (tptp.m2_relset_1 D A B)) (=> (tptp.r1_partfun1 C D) (or (and (= B tptp.k1_xboole_0) (not (= A tptp.k1_xboole_0))) (tptp.r2_hidden D (tptp.k5_partfun1 A B C)))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_funct_1 B) (tptp.m2_relset_1 B A A)) (forall ((C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C A A) (tptp.m2_relset_1 C A A)) (=> (tptp.r1_partfun1 B C) (tptp.r2_hidden C (tptp.k5_partfun1 A A B))))))) true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.m2_relset_1 C A B)) (forall ((D $$unsorted)) (=> (tptp.r2_hidden D (tptp.k5_partfun1 A B C)) (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D A B) (tptp.m2_relset_1 D A B)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.m2_relset_1 C A B)) (tptp.r1_tarski (tptp.k5_partfun1 A B C) (tptp.k1_funct_2 A B)))) _let_75 (forall ((A $$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)) (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))))))) _let_74 (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 $$unsorted)) (= (tptp.k7_relat_1 (tptp.k13_funct_3 A B) C) (tptp.k13_funct_3 A (tptp.k7_relat_1 B C)))))))) _let_73 true (forall ((A $$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 $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 E F))) (let ((_let_2 (tptp.k2_zfmisc_1 (tptp.k2_zfmisc_1 A C) (tptp.k2_zfmisc_1 B D)))) (let ((_let_3 (tptp.k3_funct_4 G H))) (let ((_let_4 (tptp.k2_zfmisc_1 C D))) (=> (and (tptp.v1_funct_1 H) (tptp.v1_funct_2 H _let_4 F) (tptp.m2_relset_1 H _let_4 F)) (and (tptp.v1_funct_1 _let_3) (tptp.v1_funct_2 _let_3 _let_2 _let_1) (tptp.m2_relset_1 _let_3 _let_2 _let_1))))))))))))))) _let_72 (forall ((A $$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 $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.m1_subset_1 D A) (tptp.m1_subset_1 E A)) (= (tptp.k5_funct_4 A B C D E) (tptp.k4_funct_4 B C D E)))) (and (tptp.v1_ordinal1 tptp.k5_ordinal2) (tptp.v2_ordinal1 tptp.k5_ordinal2) (tptp.v3_ordinal1 tptp.k5_ordinal2) (not (tptp.v1_xboole_0 tptp.k5_ordinal2))) (exists ((A $$unsorted)) (and (tptp.v1_ordinal1 A) (tptp.v2_ordinal1 A) (tptp.v3_ordinal1 A) (tptp.v4_ordinal1 A))) (exists ((A $$unsorted)) (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v5_ordinal1 A) (tptp.v1_ordinal2 A))) (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (forall ((B $$unsorted)) (=> (tptp.m1_ordinal1 B A) (tptp.v1_ordinal2 B))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k7_relat_1 A B))) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v5_ordinal1 A) (tptp.v1_ordinal2 A) (tptp.v3_ordinal1 B)) (and (tptp.v1_relat_1 _let_1) (tptp.v1_funct_1 _let_1) (tptp.v1_ordinal2 _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k1_funct_1 A B))) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v5_ordinal1 A) (tptp.v1_ordinal2 A) (tptp.v3_ordinal1 B)) (and (tptp.v1_ordinal1 _let_1) (tptp.v2_ordinal1 _let_1) (tptp.v3_ordinal1 _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k2_funcop_1 A B))) (=> (tptp.v3_ordinal1 B) (and (tptp.v1_relat_1 _let_1) (tptp.v1_funct_1 _let_1) (tptp.v1_ordinal2 _let_1))))) (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (forall ((B $$unsorted)) (=> (tptp.v3_ordinal1 B) (= (tptp.r1_ordinal1 A B) (tptp.r1_ordinal1 (tptp.k1_ordinal1 A) (tptp.k1_ordinal1 B))))))) (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (= (tptp.k3_tarski (tptp.k1_ordinal1 A)) A))) (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (tptp.r1_tarski (tptp.k1_ordinal1 A) (tptp.k1_zfmisc_1 A)))) (tptp.v4_ordinal1 tptp.k1_xboole_0) (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (tptp.r1_ordinal1 (tptp.k3_tarski A) A))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v5_ordinal1 A)) (= (tptp.k1_ordinal2 A) (tptp.k1_funct_1 A (tptp.k3_tarski (tptp.k1_relat_1 A)))))) true (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (tptp.v5_ordinal1 B)) (=> (= (tptp.k1_relat_1 B) (tptp.k1_ordinal1 A)) (= (tptp.k1_ordinal2 B) (tptp.k1_funct_1 B A))))))) (forall ((A $$unsorted) (B $$unsorted)) (= (= B (tptp.k2_ordinal2 A)) (forall ((C $$unsorted)) (= (tptp.r2_hidden C B) (and (tptp.r2_hidden C A) (tptp.v3_ordinal1 C)))))) (forall ((A $$unsorted) (B $$unsorted)) (= (= B (tptp.k3_ordinal2 A)) (forall ((C $$unsorted)) (= (tptp.r2_hidden C B) (and (tptp.r2_hidden C A) (exists ((D $$unsorted)) (and (tptp.v3_ordinal1 D) (= C D) (tptp.v4_ordinal1 D)))))))) true (forall ((A $$unsorted)) (tptp.r1_tarski (tptp.k2_ordinal2 A) A)) (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (= (tptp.k2_ordinal2 A) A))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.r1_tarski A B) (tptp.r1_tarski (tptp.k2_ordinal2 A) (tptp.k2_ordinal2 B)))) true (forall ((A $$unsorted)) (tptp.r1_tarski (tptp.k3_ordinal2 A) A)) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.r1_tarski A B) (tptp.r1_tarski (tptp.k3_ordinal2 A) (tptp.k3_ordinal2 B)))) (forall ((A $$unsorted)) (tptp.r1_tarski (tptp.k3_ordinal2 A) (tptp.k2_ordinal2 A))) (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (exists ((B $$unsorted)) (and (tptp.v3_ordinal1 B) (tptp.r2_hidden A B) (tptp.v4_ordinal1 B))))) (forall ((A $$unsorted)) (=> (forall ((B $$unsorted)) (=> (tptp.r2_hidden B A) (tptp.v3_ordinal1 B))) (tptp.v3_ordinal1 (tptp.k1_setfam_1 A)))) _let_71 (forall ((A $$unsorted)) (= (= A tptp.k5_ordinal2) (and (tptp.r2_hidden tptp.k1_xboole_0 A) (tptp.v4_ordinal1 A) (tptp.v3_ordinal1 A) (forall ((B $$unsorted)) (=> (tptp.v3_ordinal1 B) (=> (and (tptp.r2_hidden tptp.k1_xboole_0 B) (tptp.v4_ordinal1 B)) (tptp.r1_tarski A B))))))) _let_70 (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.v3_ordinal1 B) (= (= B (tptp.k7_ordinal2 A)) (and (tptp.r1_tarski (tptp.k2_ordinal2 A) B) (forall ((C $$unsorted)) (=> (tptp.v3_ordinal1 C) (=> (tptp.r1_tarski (tptp.k2_ordinal2 A) C) (tptp.r1_ordinal1 B C)))))))) true (and (tptp.r2_hidden tptp.k1_xboole_0 tptp.k5_ordinal2) (tptp.v4_ordinal1 tptp.k5_ordinal2) (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (=> (and (tptp.r2_hidden tptp.k1_xboole_0 A) (tptp.v4_ordinal1 A)) (tptp.r1_ordinal1 tptp.k5_ordinal2 A))))) true true (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (forall ((B $$unsorted)) (=> (tptp.r2_hidden A B) (tptp.r1_ordinal1 (tptp.k6_ordinal2 B) A))))) (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (forall ((B $$unsorted)) (=> (forall ((C $$unsorted)) (=> (tptp.v3_ordinal1 C) (=> (tptp.r2_hidden C B) (tptp.r1_ordinal1 A C)))) (or (= (tptp.k2_ordinal2 B) tptp.k1_xboole_0) (tptp.r1_ordinal1 A (tptp.k6_ordinal2 B))))))) (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (forall ((B $$unsorted) (C $$unsorted)) (=> (and (tptp.r2_hidden A B) (tptp.r1_tarski B C)) (tptp.r1_ordinal1 (tptp.k6_ordinal2 C) (tptp.k6_ordinal2 B)))))) (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (forall ((B $$unsorted)) (=> (tptp.r2_hidden A B) (tptp.r2_hidden (tptp.k6_ordinal2 B) B))))) (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (= (tptp.k7_ordinal2 A) A))) (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (forall ((B $$unsorted)) (=> (tptp.r2_hidden A B) (tptp.r2_hidden A (tptp.k7_ordinal2 B)))))) (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (forall ((B $$unsorted)) (=> (forall ((C $$unsorted)) (=> (tptp.v3_ordinal1 C) (=> (tptp.r2_hidden C B) (tptp.r2_hidden C A)))) (tptp.r1_ordinal1 (tptp.k7_ordinal2 B) A))))) (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (forall ((B $$unsorted)) (not (and (tptp.r2_hidden A (tptp.k7_ordinal2 B)) (forall ((C $$unsorted)) (=> (tptp.v3_ordinal1 C) (not (and (tptp.r2_hidden C B) (tptp.r1_ordinal1 A C)))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.r1_tarski A B) (tptp.r1_ordinal1 (tptp.k7_ordinal2 A) (tptp.k7_ordinal2 B)))) (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (= (tptp.k7_ordinal2 (tptp.k1_tarski A)) (tptp.k1_ordinal1 A)))) (forall ((A $$unsorted)) (tptp.r1_ordinal1 (tptp.k6_ordinal2 A) (tptp.k7_ordinal2 A))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (= (tptp.v1_ordinal2 A) (exists ((B $$unsorted)) (and (tptp.v3_ordinal1 B) (tptp.r1_tarski (tptp.k2_relat_1 A) B)))))) true (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (tptp.v5_ordinal1 B) (tptp.v1_ordinal2 B)) (=> (tptp.r2_hidden A (tptp.k1_relat_1 B)) (tptp.v3_ordinal1 (tptp.k1_funct_1 B A))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v5_ordinal1 A)) (= (tptp.k8_ordinal2 A) (tptp.k7_ordinal2 (tptp.k2_relat_1 A))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v5_ordinal1 A)) (= (tptp.k9_ordinal2 A) (tptp.k6_ordinal2 (tptp.k2_relat_1 A))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k2_relat_1 A))) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v5_ordinal1 A)) (and (= (tptp.k8_ordinal2 A) (tptp.k7_ordinal2 _let_1)) (= (tptp.k9_ordinal2 A) (tptp.k6_ordinal2 _let_1)))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v5_ordinal1 A)) (forall ((B $$unsorted)) (=> (tptp.v3_ordinal1 B) (= (= B (tptp.k10_ordinal2 A)) (exists ((C $$unsorted)) (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C) (tptp.v5_ordinal1 C) (tptp.v1_ordinal2 C) (= B (tptp.k9_ordinal2 C)) (= (tptp.k1_relat_1 C) (tptp.k1_relat_1 A)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k1_relat_1 A))) (=> (tptp.v3_ordinal1 D) (=> (tptp.r2_hidden D _let_1) (= (tptp.k1_funct_1 C D) (tptp.k7_ordinal2 (tptp.k2_relat_1 (tptp.k7_relat_1 A (tptp.k4_xboole_0 _let_1 D)))))))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v5_ordinal1 A)) (forall ((B $$unsorted)) (=> (tptp.v3_ordinal1 B) (= (= B (tptp.k11_ordinal2 A)) (exists ((C $$unsorted)) (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C) (tptp.v5_ordinal1 C) (tptp.v1_ordinal2 C) (= B (tptp.k8_ordinal2 C)) (= (tptp.k1_relat_1 C) (tptp.k1_relat_1 A)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k1_relat_1 A))) (=> (tptp.v3_ordinal1 D) (=> (tptp.r2_hidden D _let_1) (= (tptp.k1_funct_1 C D) (tptp.k6_ordinal2 (tptp.k2_relat_1 (tptp.k7_relat_1 A (tptp.k4_xboole_0 _let_1 D)))))))))))))))) (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (forall ((B $$unsorted)) (let ((_let_1 (tptp.r1_ordinal2 A B))) (let ((_let_2 (= A tptp.k1_xboole_0))) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (tptp.v5_ordinal1 B) (tptp.v1_ordinal2 B)) (and (=> _let_2 (= _let_1 (exists ((C $$unsorted)) (and (tptp.v3_ordinal1 C) (tptp.r2_hidden C (tptp.k1_relat_1 B)) (forall ((D $$unsorted)) (=> (tptp.v3_ordinal1 D) (=> (and (tptp.r1_ordinal1 C D) (tptp.r2_hidden D (tptp.k1_relat_1 B))) (= (tptp.k1_funct_1 B D) tptp.k1_xboole_0)))))))) (=> (not _let_2) (= _let_1 (forall ((C $$unsorted)) (=> (tptp.v3_ordinal1 C) (forall ((D $$unsorted)) (=> (tptp.v3_ordinal1 D) (not (and (tptp.r2_hidden C A) (tptp.r2_hidden A D) (forall ((E $$unsorted)) (=> (tptp.v3_ordinal1 E) (not (and (tptp.r2_hidden E (tptp.k1_relat_1 B)) (forall ((F $$unsorted)) (let ((_let_1 (tptp.k1_funct_1 B F))) (=> (tptp.v3_ordinal1 F) (=> (and (tptp.r1_ordinal1 E F) (tptp.r2_hidden F (tptp.k1_relat_1 B))) (and (tptp.r2_hidden C _let_1) (tptp.r2_hidden _let_1 D))))))))))))))))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v5_ordinal1 A) (tptp.v1_ordinal2 A)) (=> (exists ((B $$unsorted)) (and (tptp.v3_ordinal1 B) (tptp.r1_ordinal2 B A))) (forall ((B $$unsorted)) (=> (tptp.v3_ordinal1 B) (= (= B (tptp.k12_ordinal2 A)) (tptp.r1_ordinal2 B A))))))) (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (tptp.v5_ordinal1 B) (tptp.v1_ordinal2 B)) (= (tptp.k13_ordinal2 A B) (tptp.k12_ordinal2 (tptp.k2_ordinal1 B A))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v5_ordinal1 A) (tptp.v1_ordinal2 A)) (= (tptp.v2_ordinal2 A) (forall ((B $$unsorted)) (=> (tptp.v3_ordinal1 B) (forall ((C $$unsorted)) (=> (tptp.v3_ordinal1 C) (=> (and (tptp.r2_hidden B C) (tptp.r2_hidden C (tptp.k1_relat_1 A))) (tptp.r2_hidden (tptp.k1_funct_1 A B) (tptp.k1_funct_1 A C)))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v5_ordinal1 A) (tptp.v1_ordinal2 A)) (= (tptp.v3_ordinal2 A) (forall ((B $$unsorted)) (=> (tptp.v3_ordinal1 B) (forall ((C $$unsorted)) (=> (tptp.v3_ordinal1 C) (=> (and (tptp.r2_hidden B (tptp.k1_relat_1 A)) (tptp.v4_ordinal1 B) (= C (tptp.k1_funct_1 A B))) (or (= B tptp.k1_xboole_0) (tptp.r1_ordinal2 C (tptp.k2_ordinal1 A B))))))))))) (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (forall ((B $$unsorted)) (=> (tptp.v3_ordinal1 B) (forall ((C $$unsorted)) (=> (tptp.v3_ordinal1 C) (= (= C (tptp.k14_ordinal2 A B)) (exists ((D $$unsorted)) (and (tptp.v1_relat_1 D) (tptp.v1_funct_1 D) (tptp.v5_ordinal1 D) (tptp.v1_ordinal2 D) (= C (tptp.k1_ordinal2 D)) (= (tptp.k1_relat_1 D) (tptp.k1_ordinal1 B)) (= (tptp.k1_funct_1 D tptp.k1_xboole_0) A) (forall ((E $$unsorted)) (let ((_let_1 (tptp.k1_ordinal1 E))) (=> (tptp.v3_ordinal1 E) (=> (tptp.r2_hidden _let_1 (tptp.k1_ordinal1 B)) (= (tptp.k1_funct_1 D _let_1) (tptp.k1_ordinal1 (tptp.k1_funct_1 D E))))))) (forall ((E $$unsorted)) (=> (tptp.v3_ordinal1 E) (=> (and (tptp.r2_hidden E (tptp.k1_ordinal1 B)) (tptp.v4_ordinal1 E)) (or (= E tptp.k1_xboole_0) (= (tptp.k1_funct_1 D E) (tptp.k8_ordinal2 (tptp.k2_ordinal1 D E)))))))))))))))) (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (forall ((B $$unsorted)) (=> (tptp.v3_ordinal1 B) (forall ((C $$unsorted)) (=> (tptp.v3_ordinal1 C) (= (= C (tptp.k15_ordinal2 A B)) (exists ((D $$unsorted)) (and (tptp.v1_relat_1 D) (tptp.v1_funct_1 D) (tptp.v5_ordinal1 D) (tptp.v1_ordinal2 D) (= C (tptp.k1_ordinal2 D)) (= (tptp.k1_relat_1 D) (tptp.k1_ordinal1 A)) (= (tptp.k1_funct_1 D tptp.k1_xboole_0) tptp.k1_xboole_0) (forall ((E $$unsorted)) (let ((_let_1 (tptp.k1_ordinal1 E))) (=> (tptp.v3_ordinal1 E) (=> (tptp.r2_hidden _let_1 (tptp.k1_ordinal1 A)) (= (tptp.k1_funct_1 D _let_1) (tptp.k14_ordinal2 (tptp.k1_funct_1 D E) B)))))) (forall ((E $$unsorted)) (=> (tptp.v3_ordinal1 E) (=> (and (tptp.r2_hidden E (tptp.k1_ordinal1 A)) (tptp.v4_ordinal1 E)) (or (= E tptp.k1_xboole_0) (= (tptp.k1_funct_1 D E) (tptp.k3_tarski (tptp.k8_ordinal2 (tptp.k2_ordinal1 D E))))))))))))))))) (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (forall ((B $$unsorted)) (=> (tptp.v3_ordinal1 B) (forall ((C $$unsorted)) (=> (tptp.v3_ordinal1 C) (= (= C (tptp.k16_ordinal2 A B)) (exists ((D $$unsorted)) (and (tptp.v1_relat_1 D) (tptp.v1_funct_1 D) (tptp.v5_ordinal1 D) (tptp.v1_ordinal2 D) (= C (tptp.k1_ordinal2 D)) (= (tptp.k1_relat_1 D) (tptp.k1_ordinal1 B)) (= (tptp.k1_funct_1 D tptp.k1_xboole_0) tptp.k4_ordinal2) (forall ((E $$unsorted)) (let ((_let_1 (tptp.k1_ordinal1 E))) (=> (tptp.v3_ordinal1 E) (=> (tptp.r2_hidden _let_1 (tptp.k1_ordinal1 B)) (= (tptp.k1_funct_1 D _let_1) (tptp.k15_ordinal2 A (tptp.k1_funct_1 D E))))))) (forall ((E $$unsorted)) (=> (tptp.v3_ordinal1 E) (=> (and (tptp.r2_hidden E (tptp.k1_ordinal1 B)) (tptp.v4_ordinal1 E)) (or (= E tptp.k1_xboole_0) (= (tptp.k1_funct_1 D E) (tptp.k12_ordinal2 (tptp.k2_ordinal1 D E)))))))))))))))) true true true true true true true true (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (= (tptp.k14_ordinal2 A tptp.k1_xboole_0) A))) (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (forall ((B $$unsorted)) (=> (tptp.v3_ordinal1 B) (= (tptp.k14_ordinal2 A (tptp.k1_ordinal1 B)) (tptp.k1_ordinal1 (tptp.k14_ordinal2 A B))))))) (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (forall ((B $$unsorted)) (=> (tptp.v3_ordinal1 B) (=> (tptp.v4_ordinal1 A) (or (= A tptp.k1_xboole_0) (forall ((C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C) (tptp.v5_ordinal1 C) (tptp.v1_ordinal2 C)) (=> (and (= (tptp.k1_relat_1 C) A) (forall ((D $$unsorted)) (=> (tptp.v3_ordinal1 D) (=> (tptp.r2_hidden D A) (= (tptp.k1_funct_1 C D) (tptp.k14_ordinal2 B D)))))) (= (tptp.k14_ordinal2 B A) (tptp.k8_ordinal2 C))))))))))) (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (= (tptp.k14_ordinal2 tptp.k1_xboole_0 A) A))) (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (= (tptp.k14_ordinal2 A tptp.k4_ordinal2) (tptp.k1_ordinal1 A)))) (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (forall ((B $$unsorted)) (=> (tptp.v3_ordinal1 B) (forall ((C $$unsorted)) (=> (tptp.v3_ordinal1 C) (=> (tptp.r2_hidden A B) (tptp.r2_hidden (tptp.k14_ordinal2 C A) (tptp.k14_ordinal2 C B))))))))) (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (forall ((B $$unsorted)) (=> (tptp.v3_ordinal1 B) (forall ((C $$unsorted)) (=> (tptp.v3_ordinal1 C) (=> (tptp.r1_ordinal1 A B) (tptp.r1_ordinal1 (tptp.k14_ordinal2 C A) (tptp.k14_ordinal2 C B))))))))) (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (forall ((B $$unsorted)) (=> (tptp.v3_ordinal1 B) (forall ((C $$unsorted)) (=> (tptp.v3_ordinal1 C) (=> (tptp.r1_ordinal1 A B) (tptp.r1_ordinal1 (tptp.k14_ordinal2 A C) (tptp.k14_ordinal2 B C))))))))) (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (= (tptp.k15_ordinal2 tptp.k1_xboole_0 A) tptp.k1_xboole_0))) (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (forall ((B $$unsorted)) (=> (tptp.v3_ordinal1 B) (= (tptp.k15_ordinal2 (tptp.k1_ordinal1 A) B) (tptp.k14_ordinal2 (tptp.k15_ordinal2 A B) B)))))) (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (forall ((B $$unsorted)) (=> (tptp.v3_ordinal1 B) (=> (tptp.v4_ordinal1 A) (or (= A tptp.k1_xboole_0) (forall ((C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C) (tptp.v5_ordinal1 C) (tptp.v1_ordinal2 C)) (=> (and (= (tptp.k1_relat_1 C) A) (forall ((D $$unsorted)) (=> (tptp.v3_ordinal1 D) (=> (tptp.r2_hidden D A) (= (tptp.k1_funct_1 C D) (tptp.k15_ordinal2 D B)))))) (= (tptp.k15_ordinal2 A B) (tptp.k3_tarski (tptp.k8_ordinal2 C)))))))))))) (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (= (tptp.k15_ordinal2 A tptp.k1_xboole_0) tptp.k1_xboole_0))) (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (and (= (tptp.k15_ordinal2 tptp.k4_ordinal2 A) A) (= (tptp.k15_ordinal2 A tptp.k4_ordinal2) A)))) (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (forall ((B $$unsorted)) (=> (tptp.v3_ordinal1 B) (forall ((C $$unsorted)) (=> (tptp.v3_ordinal1 C) (=> (tptp.r2_hidden B C) (or (= A tptp.k1_xboole_0) (tptp.r2_hidden (tptp.k15_ordinal2 B A) (tptp.k15_ordinal2 C A)))))))))) (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (forall ((B $$unsorted)) (=> (tptp.v3_ordinal1 B) (forall ((C $$unsorted)) (=> (tptp.v3_ordinal1 C) (=> (tptp.r1_ordinal1 A B) (tptp.r1_ordinal1 (tptp.k15_ordinal2 A C) (tptp.k15_ordinal2 B C))))))))) (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (forall ((B $$unsorted)) (=> (tptp.v3_ordinal1 B) (forall ((C $$unsorted)) (=> (tptp.v3_ordinal1 C) (=> (tptp.r1_ordinal1 A B) (tptp.r1_ordinal1 (tptp.k15_ordinal2 C A) (tptp.k15_ordinal2 C B))))))))) (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (= (tptp.k16_ordinal2 A tptp.k1_xboole_0) tptp.k4_ordinal2))) (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (forall ((B $$unsorted)) (=> (tptp.v3_ordinal1 B) (= (tptp.k16_ordinal2 A (tptp.k1_ordinal1 B)) (tptp.k15_ordinal2 A (tptp.k16_ordinal2 A B))))))) (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (forall ((B $$unsorted)) (=> (tptp.v3_ordinal1 B) (=> (tptp.v4_ordinal1 A) (or (= A tptp.k1_xboole_0) (forall ((C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C) (tptp.v5_ordinal1 C) (tptp.v1_ordinal2 C)) (=> (and (= (tptp.k1_relat_1 C) A) (forall ((D $$unsorted)) (=> (tptp.v3_ordinal1 D) (=> (tptp.r2_hidden D A) (= (tptp.k1_funct_1 C D) (tptp.k16_ordinal2 B D)))))) (= (tptp.k16_ordinal2 B A) (tptp.k12_ordinal2 C))))))))))) (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (and (= (tptp.k16_ordinal2 A tptp.k4_ordinal2) A) (= (tptp.k16_ordinal2 tptp.k4_ordinal2 A) tptp.k4_ordinal2)))) _let_69 true (forall ((A $$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_68 (= (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_68 (= (tptp.k1_funct_1 tptp.f6_s4_ordinal2 tptp.k1_xboole_0) tptp.f2_s4_ordinal2)) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k1_ordinal1 A))) (=> (tptp.v3_ordinal1 A) (=> (tptp.r2_hidden _let_1 tptp.f1_s4_ordinal2) (= (tptp.k1_funct_1 tptp.f6_s4_ordinal2 _let_1) (tptp.f3_s4_ordinal2 A (tptp.k1_funct_1 tptp.f6_s4_ordinal2 A))))))) (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (=> (and (tptp.r2_hidden A tptp.f1_s4_ordinal2) (tptp.v4_ordinal1 A)) (or (= A tptp.k1_xboole_0) (= (tptp.k1_funct_1 tptp.f6_s4_ordinal2 A) (tptp.f4_s4_ordinal2 A (tptp.k2_ordinal1 tptp.f6_s4_ordinal2 A)))))))) (= tptp.f5_s4_ordinal2 tptp.f6_s4_ordinal2)) (exists ((A $$unsorted)) (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v5_ordinal1 A) (= (tptp.k1_relat_1 A) tptp.f1_s5_ordinal2) (=> (tptp.r2_hidden tptp.k1_xboole_0 tptp.f1_s5_ordinal2) (= (tptp.k1_funct_1 A tptp.k1_xboole_0) tptp.f2_s5_ordinal2)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k1_ordinal1 B))) (=> (tptp.v3_ordinal1 B) (=> (tptp.r2_hidden _let_1 tptp.f1_s5_ordinal2) (= (tptp.k1_funct_1 A _let_1) (tptp.f3_s5_ordinal2 B (tptp.k1_funct_1 A B))))))) (forall ((B $$unsorted)) (=> (tptp.v3_ordinal1 B) (=> (and (tptp.r2_hidden B tptp.f1_s5_ordinal2) (tptp.v4_ordinal1 B)) (or (= B tptp.k1_xboole_0) (= (tptp.k1_funct_1 A B) (tptp.f4_s5_ordinal2 B (tptp.k2_ordinal1 A B))))))))) (=> (and (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (forall ((B $$unsorted)) (= (= B (tptp.f2_s6_ordinal2 A)) (exists ((C $$unsorted)) (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C) (tptp.v5_ordinal1 C) (= B (tptp.k1_ordinal2 C)) (= (tptp.k1_relat_1 C) (tptp.k1_ordinal1 A)) (= (tptp.k1_funct_1 C tptp.k1_xboole_0) tptp.f4_s6_ordinal2) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k1_ordinal1 D))) (=> (tptp.v3_ordinal1 D) (=> (tptp.r2_hidden _let_1 (tptp.k1_ordinal1 A)) (= (tptp.k1_funct_1 C _let_1) (tptp.f5_s6_ordinal2 D (tptp.k1_funct_1 C D))))))) (forall ((D $$unsorted)) (=> (tptp.v3_ordinal1 D) (=> (and (tptp.r2_hidden D (tptp.k1_ordinal1 A)) (tptp.v4_ordinal1 D)) (or (= D tptp.k1_xboole_0) (= (tptp.k1_funct_1 C D) (tptp.f6_s6_ordinal2 D (tptp.k2_ordinal1 C D))))))))))))) (= (tptp.k1_relat_1 tptp.f1_s6_ordinal2) tptp.f3_s6_ordinal2) (=> (tptp.r2_hidden tptp.k1_xboole_0 tptp.f3_s6_ordinal2) (= (tptp.k1_funct_1 tptp.f1_s6_ordinal2 tptp.k1_xboole_0) tptp.f4_s6_ordinal2)) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k1_ordinal1 A))) (=> (tptp.v3_ordinal1 A) (=> (tptp.r2_hidden _let_1 tptp.f3_s6_ordinal2) (= (tptp.k1_funct_1 tptp.f1_s6_ordinal2 _let_1) (tptp.f5_s6_ordinal2 A (tptp.k1_funct_1 tptp.f1_s6_ordinal2 A))))))) (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (=> (and (tptp.r2_hidden A tptp.f3_s6_ordinal2) (tptp.v4_ordinal1 A)) (or (= A tptp.k1_xboole_0) (= (tptp.k1_funct_1 tptp.f1_s6_ordinal2 A) (tptp.f6_s6_ordinal2 A (tptp.k2_ordinal1 tptp.f1_s6_ordinal2 A)))))))) (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (=> (tptp.r2_hidden A (tptp.k1_relat_1 tptp.f1_s6_ordinal2)) (= (tptp.k1_funct_1 tptp.f1_s6_ordinal2 A) (tptp.f2_s6_ordinal2 A)))))) (and (exists ((A $$unsorted) (B $$unsorted)) (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (tptp.v5_ordinal1 B) (= A (tptp.k1_ordinal2 B)) (= (tptp.k1_relat_1 B) (tptp.k1_ordinal1 tptp.f1_s7_ordinal2)) (= (tptp.k1_funct_1 B tptp.k1_xboole_0) tptp.f2_s7_ordinal2) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k1_ordinal1 C))) (=> (tptp.v3_ordinal1 C) (=> (tptp.r2_hidden _let_1 (tptp.k1_ordinal1 tptp.f1_s7_ordinal2)) (= (tptp.k1_funct_1 B _let_1) (tptp.f3_s7_ordinal2 C (tptp.k1_funct_1 B C))))))) (forall ((C $$unsorted)) (=> (tptp.v3_ordinal1 C) (=> (and (tptp.r2_hidden C (tptp.k1_ordinal1 tptp.f1_s7_ordinal2)) (tptp.v4_ordinal1 C)) (or (= C tptp.k1_xboole_0) (= (tptp.k1_funct_1 B C) (tptp.f4_s7_ordinal2 C (tptp.k2_ordinal1 B C))))))))) (forall ((A $$unsorted) (B $$unsorted)) (not (and (exists ((C $$unsorted)) (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C) (tptp.v5_ordinal1 C) (= A (tptp.k1_ordinal2 C)) (= (tptp.k1_relat_1 C) (tptp.k1_ordinal1 tptp.f1_s7_ordinal2)) (= (tptp.k1_funct_1 C tptp.k1_xboole_0) tptp.f2_s7_ordinal2) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k1_ordinal1 D))) (=> (tptp.v3_ordinal1 D) (=> (tptp.r2_hidden _let_1 (tptp.k1_ordinal1 tptp.f1_s7_ordinal2)) (= (tptp.k1_funct_1 C _let_1) (tptp.f3_s7_ordinal2 D (tptp.k1_funct_1 C D))))))) (forall ((D $$unsorted)) (=> (tptp.v3_ordinal1 D) (=> (and (tptp.r2_hidden D (tptp.k1_ordinal1 tptp.f1_s7_ordinal2)) (tptp.v4_ordinal1 D)) (or (= D tptp.k1_xboole_0) (= (tptp.k1_funct_1 C D) (tptp.f4_s7_ordinal2 D (tptp.k2_ordinal1 C D))))))))) (exists ((C $$unsorted)) (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C) (tptp.v5_ordinal1 C) (= B (tptp.k1_ordinal2 C)) (= (tptp.k1_relat_1 C) (tptp.k1_ordinal1 tptp.f1_s7_ordinal2)) (= (tptp.k1_funct_1 C tptp.k1_xboole_0) tptp.f2_s7_ordinal2) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k1_ordinal1 D))) (=> (tptp.v3_ordinal1 D) (=> (tptp.r2_hidden _let_1 (tptp.k1_ordinal1 tptp.f1_s7_ordinal2)) (= (tptp.k1_funct_1 C _let_1) (tptp.f3_s7_ordinal2 D (tptp.k1_funct_1 C D))))))) (forall ((D $$unsorted)) (=> (tptp.v3_ordinal1 D) (=> (and (tptp.r2_hidden D (tptp.k1_ordinal1 tptp.f1_s7_ordinal2)) (tptp.v4_ordinal1 D)) (or (= D tptp.k1_xboole_0) (= (tptp.k1_funct_1 C D) (tptp.f4_s7_ordinal2 D (tptp.k2_ordinal1 C D))))))))) (not (= A B)))))) (=> (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (forall ((B $$unsorted)) (= (= B (tptp.f1_s8_ordinal2 A)) (exists ((C $$unsorted)) (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C) (tptp.v5_ordinal1 C) (= B (tptp.k1_ordinal2 C)) (= (tptp.k1_relat_1 C) (tptp.k1_ordinal1 A)) (= (tptp.k1_funct_1 C tptp.k1_xboole_0) tptp.f2_s8_ordinal2) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k1_ordinal1 D))) (=> (tptp.v3_ordinal1 D) (=> (tptp.r2_hidden _let_1 (tptp.k1_ordinal1 A)) (= (tptp.k1_funct_1 C _let_1) (tptp.f3_s8_ordinal2 D (tptp.k1_funct_1 C D))))))) (forall ((D $$unsorted)) (=> (tptp.v3_ordinal1 D) (=> (and (tptp.r2_hidden D (tptp.k1_ordinal1 A)) (tptp.v4_ordinal1 D)) (or (= D tptp.k1_xboole_0) (= (tptp.k1_funct_1 C D) (tptp.f4_s8_ordinal2 D (tptp.k2_ordinal1 C D))))))))))))) (= (tptp.f1_s8_ordinal2 tptp.k1_xboole_0) tptp.f2_s8_ordinal2)) (=> (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (forall ((B $$unsorted)) (= (= B (tptp.f4_s9_ordinal2 A)) (exists ((C $$unsorted)) (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C) (tptp.v5_ordinal1 C) (= B (tptp.k1_ordinal2 C)) (= (tptp.k1_relat_1 C) (tptp.k1_ordinal1 A)) (= (tptp.k1_funct_1 C tptp.k1_xboole_0) tptp.f1_s9_ordinal2) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k1_ordinal1 D))) (=> (tptp.v3_ordinal1 D) (=> (tptp.r2_hidden _let_1 (tptp.k1_ordinal1 A)) (= (tptp.k1_funct_1 C _let_1) (tptp.f2_s9_ordinal2 D (tptp.k1_funct_1 C D))))))) (forall ((D $$unsorted)) (=> (tptp.v3_ordinal1 D) (=> (and (tptp.r2_hidden D (tptp.k1_ordinal1 A)) (tptp.v4_ordinal1 D)) (or (= D tptp.k1_xboole_0) (= (tptp.k1_funct_1 C D) (tptp.f3_s9_ordinal2 D (tptp.k2_ordinal1 C D))))))))))))) (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (= (tptp.f4_s9_ordinal2 (tptp.k1_ordinal1 A)) (tptp.f2_s9_ordinal2 A (tptp.f4_s9_ordinal2 A)))))) (=> (and (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (forall ((B $$unsorted)) (= (= B (tptp.f3_s10_ordinal2 A)) (exists ((C $$unsorted)) (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C) (tptp.v5_ordinal1 C) (= B (tptp.k1_ordinal2 C)) (= (tptp.k1_relat_1 C) (tptp.k1_ordinal1 A)) (= (tptp.k1_funct_1 C tptp.k1_xboole_0) tptp.f4_s10_ordinal2) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k1_ordinal1 D))) (=> (tptp.v3_ordinal1 D) (=> (tptp.r2_hidden _let_1 (tptp.k1_ordinal1 A)) (= (tptp.k1_funct_1 C _let_1) (tptp.f5_s10_ordinal2 D (tptp.k1_funct_1 C D))))))) (forall ((D $$unsorted)) (=> (tptp.v3_ordinal1 D) (=> (and (tptp.r2_hidden D (tptp.k1_ordinal1 A)) (tptp.v4_ordinal1 D)) (or (= D tptp.k1_xboole_0) (= (tptp.k1_funct_1 C D) (tptp.f6_s10_ordinal2 D (tptp.k2_ordinal1 C D))))))))))))) (not (= tptp.f2_s10_ordinal2 tptp.k1_xboole_0)) (tptp.v4_ordinal1 tptp.f2_s10_ordinal2) (= (tptp.k1_relat_1 tptp.f1_s10_ordinal2) tptp.f2_s10_ordinal2) (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (=> (tptp.r2_hidden A tptp.f2_s10_ordinal2) (= (tptp.k1_funct_1 tptp.f1_s10_ordinal2 A) (tptp.f3_s10_ordinal2 A)))))) (= (tptp.f3_s10_ordinal2 tptp.f2_s10_ordinal2) (tptp.f6_s10_ordinal2 tptp.f2_s10_ordinal2 tptp.f1_s10_ordinal2))) (exists ((A $$unsorted)) (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v5_ordinal1 A) (tptp.v1_ordinal2 A) (= (tptp.k1_relat_1 A) tptp.f1_s11_ordinal2) (=> (tptp.r2_hidden tptp.k1_xboole_0 tptp.f1_s11_ordinal2) (= (tptp.k1_funct_1 A tptp.k1_xboole_0) tptp.f2_s11_ordinal2)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k1_ordinal1 B))) (=> (tptp.v3_ordinal1 B) (=> (tptp.r2_hidden _let_1 tptp.f1_s11_ordinal2) (= (tptp.k1_funct_1 A _let_1) (tptp.f3_s11_ordinal2 B (tptp.k1_funct_1 A B))))))) (forall ((B $$unsorted)) (=> (tptp.v3_ordinal1 B) (=> (and (tptp.r2_hidden B tptp.f1_s11_ordinal2) (tptp.v4_ordinal1 B)) (or (= B tptp.k1_xboole_0) (= (tptp.k1_funct_1 A B) (tptp.f4_s11_ordinal2 B (tptp.k2_ordinal1 A B))))))))) (=> (and (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (forall ((B $$unsorted)) (=> (tptp.v3_ordinal1 B) (= (= B (tptp.f2_s12_ordinal2 A)) (exists ((C $$unsorted)) (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C) (tptp.v5_ordinal1 C) (tptp.v1_ordinal2 C) (= B (tptp.k1_ordinal2 C)) (= (tptp.k1_relat_1 C) (tptp.k1_ordinal1 A)) (= (tptp.k1_funct_1 C tptp.k1_xboole_0) tptp.f4_s12_ordinal2) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k1_ordinal1 D))) (=> (tptp.v3_ordinal1 D) (=> (tptp.r2_hidden _let_1 (tptp.k1_ordinal1 A)) (= (tptp.k1_funct_1 C _let_1) (tptp.f5_s12_ordinal2 D (tptp.k1_funct_1 C D))))))) (forall ((D $$unsorted)) (=> (tptp.v3_ordinal1 D) (=> (and (tptp.r2_hidden D (tptp.k1_ordinal1 A)) (tptp.v4_ordinal1 D)) (or (= D tptp.k1_xboole_0) (= (tptp.k1_funct_1 C D) (tptp.f6_s12_ordinal2 D (tptp.k2_ordinal1 C D)))))))))))))) (= (tptp.k1_relat_1 tptp.f1_s12_ordinal2) tptp.f3_s12_ordinal2) (=> (tptp.r2_hidden tptp.k1_xboole_0 tptp.f3_s12_ordinal2) (= (tptp.k1_funct_1 tptp.f1_s12_ordinal2 tptp.k1_xboole_0) tptp.f4_s12_ordinal2)) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k1_ordinal1 A))) (=> (tptp.v3_ordinal1 A) (=> (tptp.r2_hidden _let_1 tptp.f3_s12_ordinal2) (= (tptp.k1_funct_1 tptp.f1_s12_ordinal2 _let_1) (tptp.f5_s12_ordinal2 A (tptp.k1_funct_1 tptp.f1_s12_ordinal2 A))))))) (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (=> (and (tptp.r2_hidden A tptp.f3_s12_ordinal2) (tptp.v4_ordinal1 A)) (or (= A tptp.k1_xboole_0) (= (tptp.k1_funct_1 tptp.f1_s12_ordinal2 A) (tptp.f6_s12_ordinal2 A (tptp.k2_ordinal1 tptp.f1_s12_ordinal2 A)))))))) (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (=> (tptp.r2_hidden A (tptp.k1_relat_1 tptp.f1_s12_ordinal2)) (= (tptp.k1_funct_1 tptp.f1_s12_ordinal2 A) (tptp.f2_s12_ordinal2 A)))))) (and (exists ((A $$unsorted)) (and (tptp.v3_ordinal1 A) (exists ((B $$unsorted)) (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (tptp.v5_ordinal1 B) (tptp.v1_ordinal2 B) (= A (tptp.k1_ordinal2 B)) (= (tptp.k1_relat_1 B) (tptp.k1_ordinal1 tptp.f1_s13_ordinal2)) (= (tptp.k1_funct_1 B tptp.k1_xboole_0) tptp.f2_s13_ordinal2) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k1_ordinal1 C))) (=> (tptp.v3_ordinal1 C) (=> (tptp.r2_hidden _let_1 (tptp.k1_ordinal1 tptp.f1_s13_ordinal2)) (= (tptp.k1_funct_1 B _let_1) (tptp.f3_s13_ordinal2 C (tptp.k1_funct_1 B C))))))) (forall ((C $$unsorted)) (=> (tptp.v3_ordinal1 C) (=> (and (tptp.r2_hidden C (tptp.k1_ordinal1 tptp.f1_s13_ordinal2)) (tptp.v4_ordinal1 C)) (or (= C tptp.k1_xboole_0) (= (tptp.k1_funct_1 B C) (tptp.f4_s13_ordinal2 C (tptp.k2_ordinal1 B C))))))))))) (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (forall ((B $$unsorted)) (=> (tptp.v3_ordinal1 B) (not (and (exists ((C $$unsorted)) (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C) (tptp.v5_ordinal1 C) (tptp.v1_ordinal2 C) (= A (tptp.k1_ordinal2 C)) (= (tptp.k1_relat_1 C) (tptp.k1_ordinal1 tptp.f1_s13_ordinal2)) (= (tptp.k1_funct_1 C tptp.k1_xboole_0) tptp.f2_s13_ordinal2) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k1_ordinal1 D))) (=> (tptp.v3_ordinal1 D) (=> (tptp.r2_hidden _let_1 (tptp.k1_ordinal1 tptp.f1_s13_ordinal2)) (= (tptp.k1_funct_1 C _let_1) (tptp.f3_s13_ordinal2 D (tptp.k1_funct_1 C D))))))) (forall ((D $$unsorted)) (=> (tptp.v3_ordinal1 D) (=> (and (tptp.r2_hidden D (tptp.k1_ordinal1 tptp.f1_s13_ordinal2)) (tptp.v4_ordinal1 D)) (or (= D tptp.k1_xboole_0) (= (tptp.k1_funct_1 C D) (tptp.f4_s13_ordinal2 D (tptp.k2_ordinal1 C D))))))))) (exists ((C $$unsorted)) (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C) (tptp.v5_ordinal1 C) (tptp.v1_ordinal2 C) (= B (tptp.k1_ordinal2 C)) (= (tptp.k1_relat_1 C) (tptp.k1_ordinal1 tptp.f1_s13_ordinal2)) (= (tptp.k1_funct_1 C tptp.k1_xboole_0) tptp.f2_s13_ordinal2) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k1_ordinal1 D))) (=> (tptp.v3_ordinal1 D) (=> (tptp.r2_hidden _let_1 (tptp.k1_ordinal1 tptp.f1_s13_ordinal2)) (= (tptp.k1_funct_1 C _let_1) (tptp.f3_s13_ordinal2 D (tptp.k1_funct_1 C D))))))) (forall ((D $$unsorted)) (=> (tptp.v3_ordinal1 D) (=> (and (tptp.r2_hidden D (tptp.k1_ordinal1 tptp.f1_s13_ordinal2)) (tptp.v4_ordinal1 D)) (or (= D tptp.k1_xboole_0) (= (tptp.k1_funct_1 C D) (tptp.f4_s13_ordinal2 D (tptp.k2_ordinal1 C D))))))))) (not (= A B))))))))) (=> (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (forall ((B $$unsorted)) (=> (tptp.v3_ordinal1 B) (= (= B (tptp.f1_s14_ordinal2 A)) (exists ((C $$unsorted)) (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C) (tptp.v5_ordinal1 C) (tptp.v1_ordinal2 C) (= B (tptp.k1_ordinal2 C)) (= (tptp.k1_relat_1 C) (tptp.k1_ordinal1 A)) (= (tptp.k1_funct_1 C tptp.k1_xboole_0) tptp.f2_s14_ordinal2) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k1_ordinal1 D))) (=> (tptp.v3_ordinal1 D) (=> (tptp.r2_hidden _let_1 (tptp.k1_ordinal1 A)) (= (tptp.k1_funct_1 C _let_1) (tptp.f3_s14_ordinal2 D (tptp.k1_funct_1 C D))))))) (forall ((D $$unsorted)) (=> (tptp.v3_ordinal1 D) (=> (and (tptp.r2_hidden D (tptp.k1_ordinal1 A)) (tptp.v4_ordinal1 D)) (or (= D tptp.k1_xboole_0) (= (tptp.k1_funct_1 C D) (tptp.f4_s14_ordinal2 D (tptp.k2_ordinal1 C D)))))))))))))) (= (tptp.f1_s14_ordinal2 tptp.k1_xboole_0) tptp.f2_s14_ordinal2)) (=> (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (forall ((B $$unsorted)) (=> (tptp.v3_ordinal1 B) (= (= B (tptp.f4_s15_ordinal2 A)) (exists ((C $$unsorted)) (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C) (tptp.v5_ordinal1 C) (tptp.v1_ordinal2 C) (= B (tptp.k1_ordinal2 C)) (= (tptp.k1_relat_1 C) (tptp.k1_ordinal1 A)) (= (tptp.k1_funct_1 C tptp.k1_xboole_0) tptp.f1_s15_ordinal2) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k1_ordinal1 D))) (=> (tptp.v3_ordinal1 D) (=> (tptp.r2_hidden _let_1 (tptp.k1_ordinal1 A)) (= (tptp.k1_funct_1 C _let_1) (tptp.f2_s15_ordinal2 D (tptp.k1_funct_1 C D))))))) (forall ((D $$unsorted)) (=> (tptp.v3_ordinal1 D) (=> (and (tptp.r2_hidden D (tptp.k1_ordinal1 A)) (tptp.v4_ordinal1 D)) (or (= D tptp.k1_xboole_0) (= (tptp.k1_funct_1 C D) (tptp.f3_s15_ordinal2 D (tptp.k2_ordinal1 C D)))))))))))))) (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (= (tptp.f4_s15_ordinal2 (tptp.k1_ordinal1 A)) (tptp.f2_s15_ordinal2 A (tptp.f4_s15_ordinal2 A)))))) (=> (and (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (forall ((B $$unsorted)) (=> (tptp.v3_ordinal1 B) (= (= B (tptp.f3_s16_ordinal2 A)) (exists ((C $$unsorted)) (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C) (tptp.v5_ordinal1 C) (tptp.v1_ordinal2 C) (= B (tptp.k1_ordinal2 C)) (= (tptp.k1_relat_1 C) (tptp.k1_ordinal1 A)) (= (tptp.k1_funct_1 C tptp.k1_xboole_0) tptp.f4_s16_ordinal2) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k1_ordinal1 D))) (=> (tptp.v3_ordinal1 D) (=> (tptp.r2_hidden _let_1 (tptp.k1_ordinal1 A)) (= (tptp.k1_funct_1 C _let_1) (tptp.f5_s16_ordinal2 D (tptp.k1_funct_1 C D))))))) (forall ((D $$unsorted)) (=> (tptp.v3_ordinal1 D) (=> (and (tptp.r2_hidden D (tptp.k1_ordinal1 A)) (tptp.v4_ordinal1 D)) (or (= D tptp.k1_xboole_0) (= (tptp.k1_funct_1 C D) (tptp.f6_s16_ordinal2 D (tptp.k2_ordinal1 C D)))))))))))))) (not (= tptp.f2_s16_ordinal2 tptp.k1_xboole_0)) (tptp.v4_ordinal1 tptp.f2_s16_ordinal2) (= (tptp.k1_relat_1 tptp.f1_s16_ordinal2) tptp.f2_s16_ordinal2) (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (=> (tptp.r2_hidden A tptp.f2_s16_ordinal2) (= (tptp.k1_funct_1 tptp.f1_s16_ordinal2 A) (tptp.f3_s16_ordinal2 A)))))) (= (tptp.f3_s16_ordinal2 tptp.f2_s16_ordinal2) (tptp.f6_s16_ordinal2 tptp.f2_s16_ordinal2 tptp.f1_s16_ordinal2))) true true true (and (tptp.v3_ordinal1 tptp.k4_ordinal2) (not (tptp.v1_xboole_0 tptp.k4_ordinal2))) true (forall ((A $$unsorted)) (tptp.v3_ordinal1 (tptp.k6_ordinal2 A))) (forall ((A $$unsorted)) (tptp.v3_ordinal1 (tptp.k7_ordinal2 A))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v5_ordinal1 A)) (tptp.v3_ordinal1 (tptp.k8_ordinal2 A)))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v5_ordinal1 A)) (tptp.v3_ordinal1 (tptp.k9_ordinal2 A)))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v5_ordinal1 A)) (tptp.v3_ordinal1 (tptp.k10_ordinal2 A)))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v5_ordinal1 A)) (tptp.v3_ordinal1 (tptp.k11_ordinal2 A)))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v5_ordinal1 A) (tptp.v1_ordinal2 A)) (tptp.v3_ordinal1 (tptp.k12_ordinal2 A)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v3_ordinal1 A) (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (tptp.v5_ordinal1 B) (tptp.v1_ordinal2 B)) (tptp.v3_ordinal1 (tptp.k13_ordinal2 A B)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v3_ordinal1 A) (tptp.v3_ordinal1 B)) (tptp.v3_ordinal1 (tptp.k14_ordinal2 A B)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v3_ordinal1 A) (tptp.v3_ordinal1 B)) (tptp.v3_ordinal1 (tptp.k15_ordinal2 A B)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v3_ordinal1 A) (tptp.v3_ordinal1 B)) (tptp.v3_ordinal1 (tptp.k16_ordinal2 A B)))) (exists ((A $$unsorted)) (and (not (tptp.v1_xboole_0 A)) (tptp.v1_finset_1 A))) (forall ((A $$unsorted)) (=> (tptp.v1_xboole_0 A) (tptp.v1_finset_1 A))) (forall ((A $$unsorted)) (exists ((B $$unsorted)) (and (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (tptp.v1_xboole_0 B) (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (tptp.v2_funct_1 B) (tptp.v1_ordinal1 B) (tptp.v2_ordinal1 B) (tptp.v3_ordinal1 B) (tptp.v4_ordinal2 B) (tptp.v1_finset_1 B)))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k1_tarski A))) (and (not (tptp.v1_xboole_0 _let_1)) (tptp.v1_finset_1 _let_1)))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (exists ((B $$unsorted)) (and (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (not (tptp.v1_xboole_0 B)) (tptp.v1_finset_1 B))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k2_tarski A B))) (and (not (tptp.v1_xboole_0 _let_1)) (tptp.v1_finset_1 _let_1)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (tptp.v1_finset_1 (tptp.k1_enumset1 A B C))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (tptp.v1_finset_1 (tptp.k2_enumset1 A B C D))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (tptp.v1_finset_1 (tptp.k3_enumset1 A B C D E))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted)) (tptp.v1_finset_1 (tptp.k4_enumset1 A B C D E F))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted) (G $$unsorted)) (tptp.v1_finset_1 (tptp.k5_enumset1 A B C D E F G))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted) (G $$unsorted) (H $$unsorted)) (tptp.v1_finset_1 (tptp.k6_enumset1 A B C D E F G H))) (forall ((A $$unsorted)) (=> (tptp.v1_finset_1 A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (tptp.v1_finset_1 B))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_finset_1 A) (tptp.v1_finset_1 B)) (tptp.v1_finset_1 (tptp.k2_xboole_0 A B)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.v1_finset_1 B) (tptp.v1_finset_1 (tptp.k3_xboole_0 A B)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.v1_finset_1 A) (tptp.v1_finset_1 (tptp.k3_xboole_0 A B)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.v1_finset_1 A) (tptp.v1_finset_1 (tptp.k4_xboole_0 A B)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_finset_1 B)) (tptp.v1_finset_1 (tptp.k9_relat_1 A B)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_finset_1 A) (tptp.v1_finset_1 B)) (tptp.v1_finset_1 (tptp.k2_zfmisc_1 A B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_finset_1 A) (tptp.v1_finset_1 B) (tptp.v1_finset_1 C)) (tptp.v1_finset_1 (tptp.k3_zfmisc_1 A B C)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.v1_finset_1 A) (tptp.v1_finset_1 B) (tptp.v1_finset_1 C) (tptp.v1_finset_1 D)) (tptp.v1_finset_1 (tptp.k4_zfmisc_1 A B C D)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_finset_1 A) (tptp.v1_finset_1 B)) (tptp.v1_finset_1 (tptp.k5_xboole_0 A B)))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (exists ((B $$unsorted)) (and (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (not (tptp.v1_xboole_0 B)) (tptp.v1_finset_1 B))))) _let_67 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)) (exists ((A $$unsorted)) (and (not (tptp.v1_xboole_0 A)) (tptp.v1_fraenkel A))) (forall ((A $$unsorted)) (=> (tptp.v1_fraenkel A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B A) (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)))))) (forall ((A $$unsorted) (B $$unsorted)) (tptp.v1_fraenkel (tptp.k1_funct_2 A B))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k1_funct_2 A B))) (=> (and (tptp.v1_finset_1 A) (tptp.v1_finset_1 B)) (and (tptp.v1_finset_1 _let_1) (tptp.v1_fraenkel _let_1))))) true true (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C A B) (tptp.m2_relset_1 C A B)) (forall ((D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D A B) (tptp.m2_relset_1 D A B)) (forall ((E $$unsorted)) (=> (= (tptp.k7_relat_1 C E) (tptp.k7_relat_1 D E)) (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F A) (=> (tptp.r2_hidden F E) (= (tptp.k8_funct_2 A B C F) (tptp.k8_funct_2 A B D F))))))))))))))) true (forall ((A $$unsorted) (B $$unsorted)) (tptp.r1_tarski (tptp.k1_funct_2 A B) (tptp.k1_zfmisc_1 (tptp.k2_zfmisc_1 A B)))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.r1_tarski C B) (tptp.r1_tarski D A)) (or (= (tptp.k1_funct_2 C D) tptp.k1_xboole_0) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.k1_funct_2 C D)) (and (tptp.v1_funct_1 E) (tptp.m2_relset_1 E B A))))))))) _let_66 true (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (tptp.v1_fraenkel (tptp.k1_tarski A)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v1_xboole_0 C)) (tptp.v1_fraenkel C)) (= (tptp.m1_fraenkel C A B) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D C) (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D A B) (tptp.m2_relset_1 D A B))))))) true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C A B) (tptp.m2_relset_1 C A B)) (tptp.m1_fraenkel (tptp.k2_setwiseo (tptp.k1_zfmisc_1 (tptp.k2_zfmisc_1 A B)) C) A B))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (tptp.m1_fraenkel (tptp.k1_funct_2 B A) B A)))) true true (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.r1_tarski C B) (tptp.r1_tarski D A)) (or (= (tptp.k1_funct_2 C D) tptp.k1_xboole_0) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.k1_funct_2 C D)) (exists ((F $$unsorted)) (and (tptp.m2_fraenkel F B A (tptp.k1_fraenkel B A)) (= (tptp.k7_relat_1 F C) E)))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (tptp.m2_fraenkel D B A (tptp.k1_fraenkel B A)) (= (tptp.k7_relat_1 D C) (tptp.k7_relat_1 D (tptp.k3_xboole_0 B C))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_finset_1 A) (tptp.v1_finset_1 B)) (tptp.v1_finset_1 (tptp.k1_funct_2 A B)))) (forall ((A $$unsorted)) (=> (tptp.v1_fraenkel A) (forall ((B $$unsorted)) (=> (tptp.r1_tarski B A) (tptp.v1_fraenkel B))))) (=> (and (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.f1_s23_fraenkel) (tptp.p1_s23_fraenkel A A))) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.f1_s23_fraenkel) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.f1_s23_fraenkel) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C tptp.f1_s23_fraenkel) (=> (and (tptp.p1_s23_fraenkel A B) (tptp.p1_s23_fraenkel B C)) (tptp.p1_s23_fraenkel A C))))))))) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.f1_s23_fraenkel) (not (and (tptp.r2_hidden A tptp.f2_s23_fraenkel) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.f1_s23_fraenkel) (not (and (tptp.r2_hidden B tptp.f2_s23_fraenkel) (tptp.p1_s23_fraenkel B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C tptp.f1_s23_fraenkel) (=> (and (tptp.r2_hidden C tptp.f2_s23_fraenkel) (tptp.p1_s23_fraenkel C B)) (tptp.p1_s23_fraenkel B C))))))))))))) (exists ((A $$unsorted)) (and (tptp.m1_subset_1 A (tptp.k5_finsub_1 tptp.f1_s24_fraenkel)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.f1_s24_fraenkel) (= (tptp.r2_hidden B A) (exists ((C $$unsorted)) (and (tptp.m1_subset_1 C tptp.f2_s24_fraenkel) (tptp.r2_hidden C tptp.f3_s24_fraenkel) (= B (tptp.f4_s24_fraenkel C)) (tptp.p1_s24_fraenkel B C)))))))) (=> (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.f1_s26_fraenkel) (not (and (tptp.r2_hidden A tptp.f3_s26_fraenkel) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.f2_s26_fraenkel) (not (tptp.p1_s26_fraenkel A B)))))))) (exists ((A $$unsorted)) (and (tptp.v1_funct_1 A) (tptp.v1_funct_2 A tptp.f1_s26_fraenkel tptp.f2_s26_fraenkel) (tptp.m2_relset_1 A tptp.f1_s26_fraenkel tptp.f2_s26_fraenkel) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.f1_s26_fraenkel) (=> (tptp.r2_hidden B tptp.f3_s26_fraenkel) (tptp.p1_s26_fraenkel B (tptp.k8_funct_2 tptp.f1_s26_fraenkel tptp.f2_s26_fraenkel A B)))))))) (=> (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.f1_s27_fraenkel) (not (and (tptp.r2_hidden A tptp.f3_s27_fraenkel) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.f2_s27_fraenkel) (not (tptp.p1_s27_fraenkel A B)))))))) (exists ((A $$unsorted)) (and (tptp.m2_fraenkel A tptp.f1_s27_fraenkel tptp.f2_s27_fraenkel (tptp.k1_fraenkel tptp.f1_s27_fraenkel tptp.f2_s27_fraenkel)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.f1_s27_fraenkel) (=> (tptp.r2_hidden B tptp.f3_s27_fraenkel) (tptp.p1_s27_fraenkel B (tptp.k8_funct_2 tptp.f1_s27_fraenkel tptp.f2_s27_fraenkel A B)))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.m1_fraenkel C A B) (and (not (tptp.v1_xboole_0 C)) (tptp.v1_fraenkel C)))) (forall ((A $$unsorted) (B $$unsorted)) (exists ((C $$unsorted)) (tptp.m1_fraenkel C A B))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.m1_fraenkel C A B)) (forall ((D $$unsorted)) (=> (tptp.m2_fraenkel D A B C) (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D A B) (tptp.m2_relset_1 D A B)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.m1_fraenkel C A B)) (exists ((D $$unsorted)) (tptp.m2_fraenkel D A B C)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.m1_fraenkel C A B)) (forall ((D $$unsorted)) (= (tptp.m2_fraenkel D A B C) (tptp.m1_subset_1 D C))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (tptp.m1_fraenkel (tptp.k1_fraenkel A B) A B))) (forall ((A $$unsorted) (B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (= (tptp.k1_fraenkel A B) (tptp.k1_funct_2 A B)))) (=> (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.f1_s1_fraenkel) (=> (tptp.p1_s1_fraenkel A) (tptp.p2_s1_fraenkel A)))) (tptp.r1_tarski tptp.a_0_0_fraenkel tptp.a_0_1_fraenkel)) (=> (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.f1_s2_fraenkel) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.f2_s2_fraenkel) (=> (tptp.p1_s2_fraenkel A B) (tptp.p2_s2_fraenkel A B)))))) (tptp.r1_tarski tptp.a_0_2_fraenkel tptp.a_0_3_fraenkel)) (=> (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.f1_s3_fraenkel) (= (tptp.p1_s3_fraenkel A) (tptp.p2_s3_fraenkel A)))) (= tptp.a_0_4_fraenkel tptp.a_0_5_fraenkel)) (=> (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.f1_s4_fraenkel) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.f2_s4_fraenkel) (= (tptp.p1_s4_fraenkel A B) (tptp.p2_s4_fraenkel A B)))))) (= tptp.a_0_6_fraenkel tptp.a_0_7_fraenkel)) (=> (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.f1_s5_fraenkel) (= (tptp.f2_s5_fraenkel A) (tptp.f3_s5_fraenkel A)))) (= tptp.a_0_8_fraenkel tptp.a_0_9_fraenkel)) (=> (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.f1_s6_fraenkel) (=> (tptp.p1_s6_fraenkel A) (= (tptp.f2_s6_fraenkel A) (tptp.f3_s6_fraenkel A))))) (= tptp.a_0_10_fraenkel tptp.a_0_11_fraenkel)) (=> (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.f1_s7_fraenkel) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.f2_s7_fraenkel) (= (tptp.f3_s7_fraenkel A B) (tptp.f4_s7_fraenkel A B)))))) (= tptp.a_0_12_fraenkel tptp.a_0_13_fraenkel)) (=> (and (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.f1_s8_fraenkel) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.f2_s8_fraenkel) (= (tptp.p1_s8_fraenkel A B) (tptp.p2_s8_fraenkel A B)))))) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.f1_s8_fraenkel) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.f2_s8_fraenkel) (= (tptp.f3_s8_fraenkel A B) (tptp.f3_s8_fraenkel B A))))))) (= tptp.a_0_14_fraenkel tptp.a_0_15_fraenkel)) (=> (and (= (tptp.k7_relat_1 tptp.f4_s9_fraenkel tptp.f3_s9_fraenkel) (tptp.k7_relat_1 tptp.f5_s9_fraenkel tptp.f3_s9_fraenkel)) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.f1_s9_fraenkel) (=> (tptp.r2_hidden A tptp.f3_s9_fraenkel) (= (tptp.p1_s9_fraenkel A) (tptp.p2_s9_fraenkel A)))))) (= tptp.a_0_16_fraenkel tptp.a_0_17_fraenkel)) (tptp.r1_tarski tptp.a_0_18_fraenkel tptp.f1_s10_fraenkel) (=> (forall ((A $$unsorted)) (=> (tptp.r2_hidden A tptp.a_0_19_fraenkel) (tptp.p2_s11_fraenkel A))) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.f1_s11_fraenkel) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.f2_s11_fraenkel) (=> (tptp.p1_s11_fraenkel A B) (tptp.p2_s11_fraenkel (tptp.f3_s11_fraenkel A B)))))))) (=> (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.f1_s12_fraenkel) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.f2_s12_fraenkel) (=> (tptp.p1_s12_fraenkel A B) (tptp.p2_s12_fraenkel (tptp.f3_s12_fraenkel A B))))))) (forall ((A $$unsorted)) (=> (tptp.r2_hidden A tptp.a_0_20_fraenkel) (tptp.p2_s12_fraenkel A)))) _let_65 _let_64 _let_63 (=> (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.f1_s16_fraenkel) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.f2_s16_fraenkel) (not (and (tptp.p1_s16_fraenkel A B) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C tptp.f1_s16_fraenkel) (not (and (tptp.p2_s16_fraenkel C B) (= (tptp.f3_s16_fraenkel A B) (tptp.f3_s16_fraenkel C B)))))))))))) (tptp.r1_tarski tptp.a_0_30_fraenkel tptp.a_0_31_fraenkel)) (tptp.r1_tarski tptp.a_0_32_fraenkel tptp.f2_s17_fraenkel) _let_62 (=> (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.f1_s19_fraenkel) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.f2_s19_fraenkel) (= (tptp.p2_s19_fraenkel A B) (and (= B tptp.f4_s19_fraenkel) (tptp.p1_s19_fraenkel A B))))))) (= tptp.a_0_34_fraenkel tptp.a_0_35_fraenkel)) _let_61 (=> (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 $$unsorted)) (and (tptp.m2_fraenkel B tptp.f1_s25_fraenkel tptp.f2_s25_fraenkel (tptp.k1_fraenkel tptp.f1_s25_fraenkel tptp.f2_s25_fraenkel)) (= A (tptp.f5_s25_fraenkel B)) (tptp.r1_tarski (tptp.k2_funct_2 tptp.f1_s25_fraenkel tptp.f2_s25_fraenkel B tptp.f3_s25_fraenkel) tptp.f4_s25_fraenkel))))) _let_50 _let_51 _let_49 _let_48 _let_60 _let_59 _let_58 (tptp.r2_xboole_0 tptp.k1_numbers tptp.k2_numbers) (tptp.r2_xboole_0 tptp.k3_numbers tptp.k1_numbers) (tptp.r2_xboole_0 tptp.k3_numbers tptp.k2_numbers) (tptp.r2_xboole_0 tptp.k4_numbers tptp.k3_numbers) (tptp.r2_xboole_0 tptp.k4_numbers tptp.k1_numbers) (tptp.r2_xboole_0 tptp.k4_numbers tptp.k2_numbers) (tptp.r2_xboole_0 tptp.k5_numbers tptp.k4_numbers) (tptp.r2_xboole_0 tptp.k5_numbers tptp.k3_numbers) (tptp.r2_xboole_0 tptp.k5_numbers tptp.k1_numbers) (tptp.r2_xboole_0 tptp.k5_numbers tptp.k2_numbers) (tptp.r1_tarski tptp.k1_numbers tptp.k2_numbers) (tptp.r1_tarski tptp.k3_numbers tptp.k1_numbers) (tptp.r1_tarski tptp.k3_numbers tptp.k2_numbers) (tptp.r1_tarski tptp.k4_numbers tptp.k3_numbers) (tptp.r1_tarski tptp.k4_numbers tptp.k1_numbers) (tptp.r1_tarski tptp.k4_numbers tptp.k2_numbers) (tptp.r1_tarski tptp.k5_numbers tptp.k4_numbers) (tptp.r1_tarski tptp.k5_numbers tptp.k3_numbers) (tptp.r1_tarski tptp.k5_numbers tptp.k1_numbers) (tptp.r1_tarski tptp.k5_numbers tptp.k2_numbers) (not (= tptp.k1_numbers tptp.k2_numbers)) (not (= tptp.k3_numbers tptp.k1_numbers)) (not (= tptp.k3_numbers tptp.k2_numbers)) (not (= tptp.k4_numbers tptp.k3_numbers)) (not (= tptp.k4_numbers tptp.k1_numbers)) (not (= tptp.k4_numbers tptp.k2_numbers)) (not (= tptp.k5_numbers tptp.k4_numbers)) (not (= tptp.k5_numbers tptp.k3_numbers)) (not (= tptp.k5_numbers tptp.k1_numbers)) (not (= tptp.k5_numbers tptp.k2_numbers)) true true true true (tptp.m1_subset_1 tptp.k5_numbers (tptp.k1_zfmisc_1 tptp.k1_numbers)) _let_55 _let_54 (forall ((A $$unsorted)) (= (tptp.r2_hidden A tptp.a_0_0_numbers) (exists ((B $$unsorted)) (and (tptp.m1_subset_1 B (tptp.k1_funct_2 (tptp.k2_tarski tptp.np__0 tptp.k13_arytm_3) tptp.k1_numbers)) (= A B) (= (tptp.k1_funct_1 B tptp.k13_arytm_3) tptp.np__0))))) (forall ((A $$unsorted)) (=> (tptp.v4_ordinal2 A) (tptp.v1_xreal_0 A))) (forall ((A $$unsorted)) (=> (tptp.v1_xreal_0 A) (tptp.v1_xcmplx_0 A))) (exists ((A $$unsorted)) (and (tptp.v1_xcmplx_0 A) (tptp.v1_xreal_0 A))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k4_xcmplx_0 A))) (=> (tptp.v1_xreal_0 A) (and (tptp.v1_xcmplx_0 _let_1) (tptp.v1_xreal_0 _let_1))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k5_xcmplx_0 A))) (=> (tptp.v1_xreal_0 A) (and (tptp.v1_xcmplx_0 _let_1) (tptp.v1_xreal_0 _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k2_xcmplx_0 A B))) (=> (and (tptp.v1_xreal_0 A) (tptp.v1_xreal_0 B)) (and (tptp.v1_xcmplx_0 _let_1) (tptp.v1_xreal_0 _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k3_xcmplx_0 A B))) (=> (and (tptp.v1_xreal_0 A) (tptp.v1_xreal_0 B)) (and (tptp.v1_xcmplx_0 _let_1) (tptp.v1_xreal_0 _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k6_xcmplx_0 A B))) (=> (and (tptp.v1_xreal_0 A) (tptp.v1_xreal_0 B)) (and (tptp.v1_xcmplx_0 _let_1) (tptp.v1_xreal_0 _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k7_xcmplx_0 A B))) (=> (and (tptp.v1_xreal_0 A) (tptp.v1_xreal_0 B)) (and (tptp.v1_xcmplx_0 _let_1) (tptp.v1_xreal_0 _let_1))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.v1_xreal_0 A))) (=> (and _let_1 (tptp.v2_xreal_0 A)) (and (not (tptp.v1_xboole_0 A)) (tptp.v1_xcmplx_0 A) _let_1 (not (tptp.v3_xreal_0 A)))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.v1_xreal_0 A))) (=> (and (not (tptp.v1_xboole_0 A)) _let_1 (not (tptp.v3_xreal_0 A))) (and (tptp.v1_xcmplx_0 A) _let_1 (tptp.v2_xreal_0 A))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.v1_xreal_0 A))) (=> (and _let_1 (tptp.v3_xreal_0 A)) (and (not (tptp.v1_xboole_0 A)) (tptp.v1_xcmplx_0 A) _let_1 (not (tptp.v2_xreal_0 A)))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.v1_xreal_0 A))) (=> (and (not (tptp.v1_xboole_0 A)) _let_1 (not (tptp.v2_xreal_0 A))) (and (tptp.v1_xcmplx_0 A) _let_1 (tptp.v3_xreal_0 A))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.v1_xreal_0 A))) (=> (and (tptp.v1_xboole_0 A) _let_1) (and (tptp.v1_xcmplx_0 A) _let_1 (not (tptp.v2_xreal_0 A)) (not (tptp.v3_xreal_0 A)))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.v1_xreal_0 A))) (=> (and _let_1 (not (tptp.v2_xreal_0 A)) (not (tptp.v3_xreal_0 A))) (and (tptp.v1_xboole_0 A) (tptp.v1_xcmplx_0 A) _let_1)))) (exists ((A $$unsorted)) (and (not (tptp.v1_xboole_0 A)) (tptp.v1_xcmplx_0 A) (tptp.v1_xreal_0 A) (tptp.v2_xreal_0 A) (not (tptp.v3_xreal_0 A)))) (exists ((A $$unsorted)) (and (not (tptp.v1_xboole_0 A)) (tptp.v1_xcmplx_0 A) (tptp.v1_xreal_0 A) (not (tptp.v2_xreal_0 A)) (tptp.v3_xreal_0 A))) (exists ((A $$unsorted)) (and (tptp.v1_xboole_0 A) (tptp.v1_xcmplx_0 A) (tptp.v1_xreal_0 A) (not (tptp.v2_xreal_0 A)) (not (tptp.v3_xreal_0 A)))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k2_xcmplx_0 A B))) (=> (and (tptp.v1_xreal_0 A) (not (tptp.v3_xreal_0 A)) (tptp.v1_xreal_0 B) (not (tptp.v3_xreal_0 B))) (and (tptp.v1_xcmplx_0 _let_1) (tptp.v1_xreal_0 _let_1) (not (tptp.v3_xreal_0 _let_1)))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k2_xcmplx_0 A B))) (=> (and (tptp.v1_xreal_0 A) (not (tptp.v2_xreal_0 A)) (tptp.v1_xreal_0 B) (not (tptp.v2_xreal_0 B))) (and (tptp.v1_xcmplx_0 _let_1) (tptp.v1_xreal_0 _let_1) (not (tptp.v2_xreal_0 _let_1)))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k2_xcmplx_0 A B))) (=> (and (tptp.v1_xreal_0 A) (tptp.v2_xreal_0 A) (tptp.v1_xreal_0 B) (not (tptp.v3_xreal_0 B))) (and (not (tptp.v1_xboole_0 _let_1)) (tptp.v1_xcmplx_0 _let_1) (tptp.v1_xreal_0 _let_1) (tptp.v2_xreal_0 _let_1) (not (tptp.v3_xreal_0 _let_1)))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k2_xcmplx_0 B A))) (=> (and (tptp.v1_xreal_0 A) (tptp.v2_xreal_0 A) (tptp.v1_xreal_0 B) (not (tptp.v3_xreal_0 B))) (and (not (tptp.v1_xboole_0 _let_1)) (tptp.v1_xcmplx_0 _let_1) (tptp.v1_xreal_0 _let_1) (tptp.v2_xreal_0 _let_1) (not (tptp.v3_xreal_0 _let_1)))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k2_xcmplx_0 A B))) (=> (and (tptp.v1_xreal_0 A) (tptp.v3_xreal_0 A) (tptp.v1_xreal_0 B) (not (tptp.v2_xreal_0 B))) (and (not (tptp.v1_xboole_0 _let_1)) (tptp.v1_xcmplx_0 _let_1) (tptp.v1_xreal_0 _let_1) (not (tptp.v2_xreal_0 _let_1)) (tptp.v3_xreal_0 _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k2_xcmplx_0 B A))) (=> (and (tptp.v1_xreal_0 A) (tptp.v3_xreal_0 A) (tptp.v1_xreal_0 B) (not (tptp.v2_xreal_0 B))) (and (not (tptp.v1_xboole_0 _let_1)) (tptp.v1_xcmplx_0 _let_1) (tptp.v1_xreal_0 _let_1) (not (tptp.v2_xreal_0 _let_1)) (tptp.v3_xreal_0 _let_1))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k4_xcmplx_0 A))) (=> (and (tptp.v1_xreal_0 A) (not (tptp.v2_xreal_0 A))) (and (tptp.v1_xcmplx_0 _let_1) (tptp.v1_xreal_0 _let_1) (not (tptp.v3_xreal_0 _let_1)))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k4_xcmplx_0 A))) (=> (and (tptp.v1_xreal_0 A) (not (tptp.v3_xreal_0 A))) (and (tptp.v1_xcmplx_0 _let_1) (tptp.v1_xreal_0 _let_1) (not (tptp.v2_xreal_0 _let_1)))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k6_xcmplx_0 A B))) (=> (and (tptp.v1_xreal_0 A) (not (tptp.v3_xreal_0 A)) (tptp.v1_xreal_0 B) (not (tptp.v2_xreal_0 B))) (and (tptp.v1_xcmplx_0 _let_1) (tptp.v1_xreal_0 _let_1) (not (tptp.v3_xreal_0 _let_1)))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k6_xcmplx_0 B A))) (=> (and (tptp.v1_xreal_0 A) (not (tptp.v3_xreal_0 A)) (tptp.v1_xreal_0 B) (not (tptp.v2_xreal_0 B))) (and (tptp.v1_xcmplx_0 _let_1) (tptp.v1_xreal_0 _let_1) (not (tptp.v2_xreal_0 _let_1)))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k6_xcmplx_0 A B))) (=> (and (tptp.v1_xreal_0 A) (tptp.v2_xreal_0 A) (tptp.v1_xreal_0 B) (not (tptp.v2_xreal_0 B))) (and (not (tptp.v1_xboole_0 _let_1)) (tptp.v1_xcmplx_0 _let_1) (tptp.v1_xreal_0 _let_1) (tptp.v2_xreal_0 _let_1) (not (tptp.v3_xreal_0 _let_1)))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k6_xcmplx_0 B A))) (=> (and (tptp.v1_xreal_0 A) (tptp.v2_xreal_0 A) (tptp.v1_xreal_0 B) (not (tptp.v2_xreal_0 B))) (and (not (tptp.v1_xboole_0 _let_1)) (tptp.v1_xcmplx_0 _let_1) (tptp.v1_xreal_0 _let_1) (not (tptp.v2_xreal_0 _let_1)) (tptp.v3_xreal_0 _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k6_xcmplx_0 A B))) (=> (and (tptp.v1_xreal_0 A) (tptp.v3_xreal_0 A) (tptp.v1_xreal_0 B) (not (tptp.v3_xreal_0 B))) (and (not (tptp.v1_xboole_0 _let_1)) (tptp.v1_xcmplx_0 _let_1) (tptp.v1_xreal_0 _let_1) (not (tptp.v2_xreal_0 _let_1)) (tptp.v3_xreal_0 _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k6_xcmplx_0 B A))) (=> (and (tptp.v1_xreal_0 A) (tptp.v3_xreal_0 A) (tptp.v1_xreal_0 B) (not (tptp.v3_xreal_0 B))) (and (not (tptp.v1_xboole_0 _let_1)) (tptp.v1_xcmplx_0 _let_1) (tptp.v1_xreal_0 _let_1) (tptp.v2_xreal_0 _let_1) (not (tptp.v3_xreal_0 _let_1)))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k3_xcmplx_0 A B))) (=> (and (tptp.v1_xreal_0 A) (not (tptp.v2_xreal_0 A)) (tptp.v1_xreal_0 B) (not (tptp.v3_xreal_0 B))) (and (tptp.v1_xcmplx_0 _let_1) (tptp.v1_xreal_0 _let_1) (not (tptp.v2_xreal_0 _let_1)))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k3_xcmplx_0 B A))) (=> (and (tptp.v1_xreal_0 A) (not (tptp.v2_xreal_0 A)) (tptp.v1_xreal_0 B) (not (tptp.v3_xreal_0 B))) (and (tptp.v1_xcmplx_0 _let_1) (tptp.v1_xreal_0 _let_1) (not (tptp.v2_xreal_0 _let_1)))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k3_xcmplx_0 A B))) (=> (and (tptp.v1_xreal_0 A) (not (tptp.v2_xreal_0 A)) (tptp.v1_xreal_0 B) (not (tptp.v2_xreal_0 B))) (and (tptp.v1_xcmplx_0 _let_1) (tptp.v1_xreal_0 _let_1) (not (tptp.v3_xreal_0 _let_1)))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k3_xcmplx_0 A B))) (=> (and (tptp.v1_xreal_0 A) (not (tptp.v3_xreal_0 A)) (tptp.v1_xreal_0 B) (not (tptp.v3_xreal_0 B))) (and (tptp.v1_xcmplx_0 _let_1) (tptp.v1_xreal_0 _let_1) (not (tptp.v3_xreal_0 _let_1)))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k5_xcmplx_0 A))) (=> (and (tptp.v1_xreal_0 A) (not (tptp.v2_xreal_0 A))) (and (tptp.v1_xcmplx_0 _let_1) (tptp.v1_xreal_0 _let_1) (not (tptp.v2_xreal_0 _let_1)))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k5_xcmplx_0 A))) (=> (and (tptp.v1_xreal_0 A) (not (tptp.v3_xreal_0 A))) (and (tptp.v1_xcmplx_0 _let_1) (tptp.v1_xreal_0 _let_1) (not (tptp.v3_xreal_0 _let_1)))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k7_xcmplx_0 A B))) (=> (and (tptp.v1_xreal_0 A) (not (tptp.v3_xreal_0 A)) (tptp.v1_xreal_0 B) (not (tptp.v2_xreal_0 B))) (and (tptp.v1_xcmplx_0 _let_1) (tptp.v1_xreal_0 _let_1) (not (tptp.v2_xreal_0 _let_1)))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k7_xcmplx_0 B A))) (=> (and (tptp.v1_xreal_0 A) (not (tptp.v3_xreal_0 A)) (tptp.v1_xreal_0 B) (not (tptp.v2_xreal_0 B))) (and (tptp.v1_xcmplx_0 _let_1) (tptp.v1_xreal_0 _let_1) (not (tptp.v2_xreal_0 _let_1)))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k7_xcmplx_0 A B))) (=> (and (tptp.v1_xreal_0 A) (not (tptp.v3_xreal_0 A)) (tptp.v1_xreal_0 B) (not (tptp.v3_xreal_0 B))) (and (tptp.v1_xcmplx_0 _let_1) (tptp.v1_xreal_0 _let_1) (not (tptp.v3_xreal_0 _let_1)))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k7_xcmplx_0 A B))) (=> (and (tptp.v1_xreal_0 A) (not (tptp.v2_xreal_0 A)) (tptp.v1_xreal_0 B) (not (tptp.v2_xreal_0 B))) (and (tptp.v1_xcmplx_0 _let_1) (tptp.v1_xreal_0 _let_1) (not (tptp.v3_xreal_0 _let_1)))))) _let_53 (forall ((A $$unsorted)) (=> (tptp.v1_xreal_0 A) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 (tptp.k1_tarski tptp.np__0) tptp.k2_arytm_2))) (let ((_let_2 (tptp.r2_hidden A _let_1))) (let ((_let_3 (tptp.r2_hidden B tptp.k2_arytm_2))) (let ((_let_4 (tptp.r1_xreal_0 A B))) (let ((_let_5 (and _let_2 (tptp.r2_hidden B _let_1)))) (let ((_let_6 (and (tptp.r2_hidden A tptp.k2_arytm_2) _let_3))) (=> (tptp.v1_xreal_0 B) (and (=> _let_6 (= _let_4 (exists ((C $$unsorted)) (and (tptp.m1_subset_1 C tptp.k2_arytm_2) (exists ((D $$unsorted)) (and (tptp.m1_subset_1 D tptp.k2_arytm_2) (= A C) (= B D) (tptp.r1_arytm_2 C D))))))) (=> _let_5 (= _let_4 (exists ((C $$unsorted)) (and (tptp.m1_subset_1 C tptp.k2_arytm_2) (exists ((D $$unsorted)) (and (tptp.m1_subset_1 D tptp.k2_arytm_2) (= A (tptp.k4_tarski tptp.np__0 C)) (= B (tptp.k4_tarski tptp.np__0 D)) (tptp.r1_arytm_2 D C))))))) (not (and (not _let_6) (not _let_5) (not (= _let_4 (and _let_3 _let_2)))))))))))))))) (forall ((A $$unsorted)) (=> (tptp.v1_xreal_0 A) (= (tptp.v2_xreal_0 A) (not (tptp.r1_xreal_0 A tptp.np__0))))) (forall ((A $$unsorted)) (=> (tptp.v1_xreal_0 A) (= (tptp.v3_xreal_0 A) (not (tptp.r1_xreal_0 tptp.np__0 A))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_xreal_0 A) (tptp.v1_xreal_0 B)) (tptp.r1_xreal_0 A A))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_xreal_0 A) (tptp.v1_xreal_0 B)) (or (tptp.r1_xreal_0 A B) (tptp.r1_xreal_0 B A)))) (exists ((A $$unsorted)) (and (tptp.m1_subset_1 A tptp.k1_numbers) (tptp.v1_xcmplx_0 A) (tptp.v1_xreal_0 A) (tptp.v1_int_1 A))) (exists ((A $$unsorted)) (tptp.v1_int_1 A)) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.k4_numbers) (tptp.v1_int_1 A))) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.k5_numbers) (and (tptp.v1_ordinal1 A) (tptp.v2_ordinal1 A) (tptp.v3_ordinal1 A) (tptp.v4_ordinal2 A) (tptp.v1_xcmplx_0 A) (tptp.v1_xreal_0 A) (not (tptp.v3_xreal_0 A)) (tptp.v1_int_1 A)))) (forall ((A $$unsorted)) (=> (tptp.v4_ordinal2 A) (tptp.v1_int_1 A))) (forall ((A $$unsorted)) (=> (tptp.v1_int_1 A) (and (tptp.v1_xcmplx_0 A) (tptp.v1_xreal_0 A)))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k2_xcmplx_0 A B))) (=> (and (tptp.v1_int_1 A) (tptp.v1_int_1 B)) (and (tptp.v1_xcmplx_0 _let_1) (tptp.v1_xreal_0 _let_1) (tptp.v1_int_1 _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k3_xcmplx_0 A B))) (=> (and (tptp.v1_int_1 A) (tptp.v1_int_1 B)) (and (tptp.v1_xcmplx_0 _let_1) (tptp.v1_xreal_0 _let_1) (tptp.v1_int_1 _let_1))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k4_xcmplx_0 A))) (=> (tptp.v1_int_1 A) (and (tptp.v1_xcmplx_0 _let_1) (tptp.v1_xreal_0 _let_1) (tptp.v1_int_1 _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k6_xcmplx_0 A B))) (=> (and (tptp.v1_int_1 A) (tptp.v1_int_1 B)) (and (tptp.v1_xcmplx_0 _let_1) (tptp.v1_xreal_0 _let_1) (tptp.v1_int_1 _let_1))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k4_xcmplx_0 A))) (=> (tptp.m1_subset_1 A tptp.k5_numbers) (and (tptp.v1_xcmplx_0 _let_1) (tptp.v1_xreal_0 _let_1) (not (tptp.v2_xreal_0 _let_1)) (tptp.v1_int_1 _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k2_xcmplx_0 B A))) (=> (and (tptp.m1_subset_1 A tptp.k5_numbers) (tptp.v1_int_1 B)) (and (tptp.v1_xcmplx_0 _let_1) (tptp.v1_xreal_0 _let_1) (tptp.v1_int_1 _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k3_xcmplx_0 B A))) (=> (and (tptp.m1_subset_1 A tptp.k5_numbers) (tptp.v1_int_1 B)) (and (tptp.v1_xcmplx_0 _let_1) (tptp.v1_xreal_0 _let_1) (tptp.v1_int_1 _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k6_xcmplx_0 B A))) (=> (and (tptp.m1_subset_1 A tptp.k5_numbers) (tptp.v1_int_1 B)) (and (tptp.v1_xcmplx_0 _let_1) (tptp.v1_xreal_0 _let_1) (tptp.v1_int_1 _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k6_xcmplx_0 A B))) (=> (and (tptp.m1_subset_1 A tptp.k5_numbers) (tptp.m1_subset_1 B tptp.k5_numbers)) (and (tptp.v1_xcmplx_0 _let_1) (tptp.v1_xreal_0 _let_1) (tptp.v1_int_1 _let_1))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k3_int_1 A))) (=> (tptp.v1_xreal_0 A) (and (tptp.v1_xcmplx_0 _let_1) (tptp.v1_xreal_0 _let_1))))) (forall ((A $$unsorted)) (= (= A tptp.k4_numbers) (forall ((B $$unsorted)) (= (tptp.r2_hidden B A) (not (forall ((C $$unsorted)) (=> (tptp.m2_subset_1 C tptp.k1_numbers tptp.k5_numbers) (and (not (= B C)) (not (= B (tptp.k1_real_1 C))))))))))) _let_52 true true true true true true (forall ((A $$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.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 $$unsorted)) (=> (tptp.m1_subset_1 A (tptp.k1_zfmisc_1 tptp.k5_numbers)) (and (tptp.v1_membered A) (tptp.v2_membered A) (tptp.v3_membered A) (tptp.v4_membered A) (tptp.v5_membered A)))) (and _let_51 (tptp.v1_membered tptp.k2_numbers)) (and _let_50 (tptp.v1_membered tptp.k1_numbers) (tptp.v2_membered tptp.k1_numbers)) (and _let_49 (tptp.v1_membered tptp.k3_numbers) (tptp.v2_membered tptp.k3_numbers) (tptp.v3_membered tptp.k3_numbers)) (and _let_48 (tptp.v1_membered tptp.k4_numbers) (tptp.v2_membered tptp.k4_numbers) (tptp.v3_membered tptp.k4_numbers) (tptp.v4_membered tptp.k4_numbers)) (and (tptp.v1_membered tptp.k5_ordinal2) (tptp.v2_membered tptp.k5_ordinal2) (tptp.v3_membered tptp.k5_ordinal2) (tptp.v4_membered tptp.k5_ordinal2) (tptp.v5_membered tptp.k5_ordinal2)) (forall ((A $$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 $$unsorted)) (=> (tptp.m1_subset_1 B A) (and (tptp.v1_xcmplx_0 B) (tptp.v4_ordinal2 B) (tptp.v1_xreal_0 B) (tptp.v1_int_1 B) (tptp.v1_rat_1 B)))))) (and _let_36 (tptp.v1_membered tptp.k1_xboole_0) (tptp.v2_membered tptp.k1_xboole_0) (tptp.v3_membered tptp.k1_xboole_0) (tptp.v4_membered tptp.k1_xboole_0) (tptp.v5_membered tptp.k1_xboole_0)) (forall ((A $$unsorted)) (=> (tptp.v1_xboole_0 A) (and (tptp.v1_membered A) (tptp.v2_membered A) (tptp.v3_membered A) (tptp.v4_membered A) (tptp.v5_membered A)))) (forall ((A $$unsorted)) (=> (tptp.v1_xcmplx_0 A) (tptp.v1_membered (tptp.k1_tarski A)))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k1_tarski A))) (=> (tptp.v1_xreal_0 A) (and (tptp.v1_membered _let_1) (tptp.v2_membered _let_1))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k1_tarski A))) (=> (tptp.v1_rat_1 A) (and (tptp.v1_membered _let_1) (tptp.v2_membered _let_1) (tptp.v3_membered _let_1))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k1_tarski A))) (=> (tptp.v1_int_1 A) (and (tptp.v1_membered _let_1) (tptp.v2_membered _let_1) (tptp.v3_membered _let_1) (tptp.v4_membered _let_1))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k1_tarski A))) (=> (tptp.v4_ordinal2 A) (and (tptp.v1_membered _let_1) (tptp.v2_membered _let_1) (tptp.v3_membered _let_1) (tptp.v4_membered _let_1) (tptp.v5_membered _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_xcmplx_0 A) (tptp.v1_xcmplx_0 B)) (tptp.v1_membered (tptp.k2_tarski A B)))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k2_tarski A B))) (=> (and (tptp.v1_xreal_0 A) (tptp.v1_xreal_0 B)) (and (tptp.v1_membered _let_1) (tptp.v2_membered _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k2_tarski A B))) (=> (and (tptp.v1_rat_1 A) (tptp.v1_rat_1 B)) (and (tptp.v1_membered _let_1) (tptp.v2_membered _let_1) (tptp.v3_membered _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k2_tarski A B))) (=> (and (tptp.v1_int_1 A) (tptp.v1_int_1 B)) (and (tptp.v1_membered _let_1) (tptp.v2_membered _let_1) (tptp.v3_membered _let_1) (tptp.v4_membered _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k2_tarski A B))) (=> (and (tptp.v4_ordinal2 A) (tptp.v4_ordinal2 B)) (and (tptp.v1_membered _let_1) (tptp.v2_membered _let_1) (tptp.v3_membered _let_1) (tptp.v4_membered _let_1) (tptp.v5_membered _let_1))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_xcmplx_0 A) (tptp.v1_xcmplx_0 B) (tptp.v1_xcmplx_0 C)) (tptp.v1_membered (tptp.k1_enumset1 A B C)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k1_enumset1 A B C))) (=> (and (tptp.v1_xreal_0 A) (tptp.v1_xreal_0 B) (tptp.v1_xreal_0 C)) (and (tptp.v1_membered _let_1) (tptp.v2_membered _let_1))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k1_enumset1 A B C))) (=> (and (tptp.v1_rat_1 A) (tptp.v1_rat_1 B) (tptp.v1_rat_1 C)) (and (tptp.v1_membered _let_1) (tptp.v2_membered _let_1) (tptp.v3_membered _let_1))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k1_enumset1 A B C))) (=> (and (tptp.v1_int_1 A) (tptp.v1_int_1 B) (tptp.v1_int_1 C)) (and (tptp.v1_membered _let_1) (tptp.v2_membered _let_1) (tptp.v3_membered _let_1) (tptp.v4_membered _let_1))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k1_enumset1 A B C))) (=> (and (tptp.v4_ordinal2 A) (tptp.v4_ordinal2 B) (tptp.v4_ordinal2 C)) (and (tptp.v1_membered _let_1) (tptp.v2_membered _let_1) (tptp.v3_membered _let_1) (tptp.v4_membered _let_1) (tptp.v5_membered _let_1))))) (forall ((A $$unsorted)) (=> (tptp.v1_membered A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (tptp.v1_membered B))))) (forall ((A $$unsorted)) (=> (tptp.v2_membered A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (and (tptp.v1_membered B) (tptp.v2_membered B)))))) (forall ((A $$unsorted)) (=> (tptp.v3_membered A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (and (tptp.v1_membered B) (tptp.v2_membered B) (tptp.v3_membered B)))))) (forall ((A $$unsorted)) (=> (tptp.v4_membered A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (and (tptp.v1_membered B) (tptp.v2_membered B) (tptp.v3_membered B) (tptp.v4_membered B)))))) (forall ((A $$unsorted)) (=> (tptp.v5_membered A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (and (tptp.v1_membered B) (tptp.v2_membered B) (tptp.v3_membered B) (tptp.v4_membered B) (tptp.v5_membered B)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_membered A) (tptp.v1_membered B)) (tptp.v1_membered (tptp.k2_xboole_0 A B)))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k2_xboole_0 A B))) (=> (and (tptp.v2_membered A) (tptp.v2_membered B)) (and (tptp.v1_membered _let_1) (tptp.v2_membered _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k2_xboole_0 A B))) (=> (and (tptp.v3_membered A) (tptp.v3_membered B)) (and (tptp.v1_membered _let_1) (tptp.v2_membered _let_1) (tptp.v3_membered _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k2_xboole_0 A B))) (=> (and (tptp.v4_membered A) (tptp.v4_membered B)) (and (tptp.v1_membered _let_1) (tptp.v2_membered _let_1) (tptp.v3_membered _let_1) (tptp.v4_membered _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k2_xboole_0 A B))) (=> (and (tptp.v5_membered A) (tptp.v5_membered B)) (and (tptp.v1_membered _let_1) (tptp.v2_membered _let_1) (tptp.v3_membered _let_1) (tptp.v4_membered _let_1) (tptp.v5_membered _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.v1_membered A) (tptp.v1_membered (tptp.k3_xboole_0 A B)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.v1_membered A) (tptp.v1_membered (tptp.k3_xboole_0 B A)))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k3_xboole_0 A B))) (=> (tptp.v2_membered A) (and (tptp.v1_membered _let_1) (tptp.v2_membered _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k3_xboole_0 B A))) (=> (tptp.v2_membered A) (and (tptp.v1_membered _let_1) (tptp.v2_membered _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k3_xboole_0 A B))) (=> (tptp.v3_membered A) (and (tptp.v1_membered _let_1) (tptp.v2_membered _let_1) (tptp.v3_membered _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k3_xboole_0 B A))) (=> (tptp.v3_membered A) (and (tptp.v1_membered _let_1) (tptp.v2_membered _let_1) (tptp.v3_membered _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k3_xboole_0 A B))) (=> (tptp.v4_membered A) (and (tptp.v1_membered _let_1) (tptp.v2_membered _let_1) (tptp.v3_membered _let_1) (tptp.v4_membered _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k3_xboole_0 B A))) (=> (tptp.v4_membered A) (and (tptp.v1_membered _let_1) (tptp.v2_membered _let_1) (tptp.v3_membered _let_1) (tptp.v4_membered _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k3_xboole_0 A B))) (=> (tptp.v5_membered A) (and (tptp.v1_membered _let_1) (tptp.v2_membered _let_1) (tptp.v3_membered _let_1) (tptp.v4_membered _let_1) (tptp.v5_membered _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k3_xboole_0 B A))) (=> (tptp.v5_membered A) (and (tptp.v1_membered _let_1) (tptp.v2_membered _let_1) (tptp.v3_membered _let_1) (tptp.v4_membered _let_1) (tptp.v5_membered _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.v1_membered A) (tptp.v1_membered (tptp.k4_xboole_0 A B)))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k4_xboole_0 A B))) (=> (tptp.v2_membered A) (and (tptp.v1_membered _let_1) (tptp.v2_membered _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k4_xboole_0 A B))) (=> (tptp.v3_membered A) (and (tptp.v1_membered _let_1) (tptp.v2_membered _let_1) (tptp.v3_membered _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k4_xboole_0 A B))) (=> (tptp.v4_membered A) (and (tptp.v1_membered _let_1) (tptp.v2_membered _let_1) (tptp.v3_membered _let_1) (tptp.v4_membered _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k4_xboole_0 A B))) (=> (tptp.v5_membered A) (and (tptp.v1_membered _let_1) (tptp.v2_membered _let_1) (tptp.v3_membered _let_1) (tptp.v4_membered _let_1) (tptp.v5_membered _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_membered A) (tptp.v1_membered B)) (tptp.v1_membered (tptp.k5_xboole_0 A B)))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k5_xboole_0 A B))) (=> (and (tptp.v2_membered A) (tptp.v2_membered B)) (and (tptp.v1_membered _let_1) (tptp.v2_membered _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k5_xboole_0 A B))) (=> (and (tptp.v3_membered A) (tptp.v3_membered B)) (and (tptp.v1_membered _let_1) (tptp.v2_membered _let_1) (tptp.v3_membered _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k5_xboole_0 A B))) (=> (and (tptp.v4_membered A) (tptp.v4_membered B)) (and (tptp.v1_membered _let_1) (tptp.v2_membered _let_1) (tptp.v3_membered _let_1) (tptp.v4_membered _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k5_xboole_0 A B))) (=> (and (tptp.v5_membered A) (tptp.v5_membered B)) (and (tptp.v1_membered _let_1) (tptp.v2_membered _let_1) (tptp.v3_membered _let_1) (tptp.v4_membered _let_1) (tptp.v5_membered _let_1))))) _let_47 _let_46 _let_45 _let_44 _let_43 (forall ((A $$unsorted)) (=> (tptp.v1_membered A) (tptp.r1_tarski A tptp.k2_numbers))) (forall ((A $$unsorted)) (=> (tptp.v2_membered A) (tptp.r1_tarski A tptp.k1_numbers))) (forall ((A $$unsorted)) (=> (tptp.v3_membered A) (tptp.r1_tarski A tptp.k3_numbers))) (forall ((A $$unsorted)) (=> (tptp.v4_membered A) (tptp.r1_tarski A tptp.k4_numbers))) (forall ((A $$unsorted)) (=> (tptp.v5_membered A) (tptp.r1_tarski A tptp.k5_numbers))) (forall ((A $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v1_membered A)) (exists ((B $$unsorted)) (and (tptp.v1_xcmplx_0 B) (tptp.r2_hidden B A))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v2_membered A)) (exists ((B $$unsorted)) (and (tptp.v1_xreal_0 B) (tptp.r2_hidden B A))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v3_membered A)) (exists ((B $$unsorted)) (and (tptp.v1_rat_1 B) (tptp.r2_hidden B A))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v4_membered A)) (exists ((B $$unsorted)) (and (tptp.v1_int_1 B) (tptp.r2_hidden B A))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v5_membered A)) (exists ((B $$unsorted)) (and (tptp.v4_ordinal2 B) (tptp.r2_hidden B A))))) (forall ((A $$unsorted)) (=> (tptp.v1_membered A) (=> (forall ((B $$unsorted)) (=> (tptp.v1_xcmplx_0 B) (tptp.r2_hidden B A))) (= A tptp.k2_numbers)))) (forall ((A $$unsorted)) (=> (tptp.v2_membered A) (=> (forall ((B $$unsorted)) (=> (tptp.v1_xreal_0 B) (tptp.r2_hidden B A))) (= A tptp.k1_numbers)))) (forall ((A $$unsorted)) (=> (tptp.v3_membered A) (=> (forall ((B $$unsorted)) (=> (tptp.v1_rat_1 B) (tptp.r2_hidden B A))) (= A tptp.k3_numbers)))) (forall ((A $$unsorted)) (=> (tptp.v4_membered A) (=> (forall ((B $$unsorted)) (=> (tptp.v1_int_1 B) (tptp.r2_hidden B A))) (= A tptp.k4_numbers)))) (forall ((A $$unsorted)) (=> (tptp.v5_membered A) (=> (forall ((B $$unsorted)) (=> (tptp.v4_ordinal2 B) (tptp.r2_hidden B A))) (= A tptp.k5_numbers)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.v1_membered B) (=> (tptp.r1_tarski A B) (tptp.v1_membered A)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.v2_membered B) (=> (tptp.r1_tarski A B) (tptp.v2_membered A)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.v3_membered B) (=> (tptp.r1_tarski A B) (tptp.v3_membered A)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.v4_membered B) (=> (tptp.r1_tarski A B) (tptp.v4_membered A)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.v5_membered B) (=> (tptp.r1_tarski A B) (tptp.v5_membered A)))) (forall ((A $$unsorted)) (=> (tptp.v1_membered A) (forall ((B $$unsorted)) (=> (tptp.v1_membered B) (= (tptp.r1_tarski A B) (forall ((C $$unsorted)) (=> (tptp.v1_xcmplx_0 C) (=> (tptp.r2_hidden C A) (tptp.r2_hidden C B))))))))) (forall ((A $$unsorted)) (=> (tptp.v2_membered A) (forall ((B $$unsorted)) (=> (tptp.v2_membered B) (= (tptp.r1_tarski A B) (forall ((C $$unsorted)) (=> (tptp.v1_xreal_0 C) (=> (tptp.r2_hidden C A) (tptp.r2_hidden C B))))))))) (forall ((A $$unsorted)) (=> (tptp.v3_membered A) (forall ((B $$unsorted)) (=> (tptp.v3_membered B) (= (tptp.r1_tarski A B) (forall ((C $$unsorted)) (=> (tptp.v1_rat_1 C) (=> (tptp.r2_hidden C A) (tptp.r2_hidden C B))))))))) (forall ((A $$unsorted)) (=> (tptp.v4_membered A) (forall ((B $$unsorted)) (=> (tptp.v4_membered B) (= (tptp.r1_tarski A B) (forall ((C $$unsorted)) (=> (tptp.v1_int_1 C) (=> (tptp.r2_hidden C A) (tptp.r2_hidden C B))))))))) (forall ((A $$unsorted)) (=> (tptp.v5_membered A) (forall ((B $$unsorted)) (=> (tptp.v5_membered B) (= (tptp.r1_tarski A B) (forall ((C $$unsorted)) (=> (tptp.v4_ordinal2 C) (=> (tptp.r2_hidden C A) (tptp.r2_hidden C B))))))))) (forall ((A $$unsorted)) (=> (tptp.v1_membered A) (forall ((B $$unsorted)) (=> (tptp.v1_membered B) (= (= A B) (forall ((C $$unsorted)) (=> (tptp.v1_xcmplx_0 C) (= (tptp.r2_hidden C A) (tptp.r2_hidden C B))))))))) (forall ((A $$unsorted)) (=> (tptp.v2_membered A) (forall ((B $$unsorted)) (=> (tptp.v2_membered B) (= (= A B) (forall ((C $$unsorted)) (=> (tptp.v1_xreal_0 C) (= (tptp.r2_hidden C A) (tptp.r2_hidden C B))))))))) (forall ((A $$unsorted)) (=> (tptp.v3_membered A) (forall ((B $$unsorted)) (=> (tptp.v3_membered B) (= (= A B) (forall ((C $$unsorted)) (=> (tptp.v1_rat_1 C) (= (tptp.r2_hidden C A) (tptp.r2_hidden C B))))))))) (forall ((A $$unsorted)) (=> (tptp.v4_membered A) (forall ((B $$unsorted)) (=> (tptp.v4_membered B) (= (= A B) (forall ((C $$unsorted)) (=> (tptp.v1_int_1 C) (= (tptp.r2_hidden C A) (tptp.r2_hidden C B))))))))) (forall ((A $$unsorted)) (=> (tptp.v5_membered A) (forall ((B $$unsorted)) (=> (tptp.v5_membered B) (= (= A B) (forall ((C $$unsorted)) (=> (tptp.v4_ordinal2 C) (= (tptp.r2_hidden C A) (tptp.r2_hidden C B))))))))) (forall ((A $$unsorted)) (=> (tptp.v1_membered A) (forall ((B $$unsorted)) (=> (tptp.v1_membered B) (= (tptp.r1_xboole_0 A B) (forall ((C $$unsorted)) (=> (tptp.v1_xcmplx_0 C) (not (and (tptp.r2_hidden C A) (tptp.r2_hidden C B)))))))))) (forall ((A $$unsorted)) (=> (tptp.v2_membered A) (forall ((B $$unsorted)) (=> (tptp.v2_membered B) (= (tptp.r1_xboole_0 A B) (forall ((C $$unsorted)) (=> (tptp.v1_xreal_0 C) (not (and (tptp.r2_hidden C A) (tptp.r2_hidden C B)))))))))) (forall ((A $$unsorted)) (=> (tptp.v3_membered A) (forall ((B $$unsorted)) (=> (tptp.v3_membered B) (= (tptp.r1_xboole_0 A B) (forall ((C $$unsorted)) (=> (tptp.v1_rat_1 C) (not (and (tptp.r2_hidden C A) (tptp.r2_hidden C B)))))))))) (forall ((A $$unsorted)) (=> (tptp.v4_membered A) (forall ((B $$unsorted)) (=> (tptp.v4_membered B) (= (tptp.r1_xboole_0 A B) (forall ((C $$unsorted)) (=> (tptp.v1_int_1 C) (not (and (tptp.r2_hidden C A) (tptp.r2_hidden C B)))))))))) (forall ((A $$unsorted)) (=> (tptp.v5_membered A) (forall ((B $$unsorted)) (=> (tptp.v5_membered B) (= (tptp.r1_xboole_0 A B) (forall ((C $$unsorted)) (=> (tptp.v4_ordinal2 C) (not (and (tptp.r2_hidden C A) (tptp.r2_hidden C B)))))))))) (forall ((A $$unsorted)) (=> (forall ((B $$unsorted)) (=> (tptp.r2_hidden B A) (tptp.v1_membered B))) (tptp.v1_membered (tptp.k3_tarski A)))) (forall ((A $$unsorted)) (=> (forall ((B $$unsorted)) (=> (tptp.r2_hidden B A) (tptp.v2_membered B))) (tptp.v2_membered (tptp.k3_tarski A)))) (forall ((A $$unsorted)) (=> (forall ((B $$unsorted)) (=> (tptp.r2_hidden B A) (tptp.v3_membered B))) (tptp.v3_membered (tptp.k3_tarski A)))) (forall ((A $$unsorted)) (=> (forall ((B $$unsorted)) (=> (tptp.r2_hidden B A) (tptp.v4_membered B))) (tptp.v4_membered (tptp.k3_tarski A)))) (forall ((A $$unsorted)) (=> (forall ((B $$unsorted)) (=> (tptp.r2_hidden B A) (tptp.v5_membered B))) (tptp.v5_membered (tptp.k3_tarski A)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.r2_hidden B A) (tptp.v1_membered B)) (tptp.v1_membered (tptp.k1_setfam_1 A)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.r2_hidden B A) (tptp.v2_membered B)) (tptp.v2_membered (tptp.k1_setfam_1 A)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.r2_hidden B A) (tptp.v3_membered B)) (tptp.v3_membered (tptp.k1_setfam_1 A)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.r2_hidden B A) (tptp.v4_membered B)) (tptp.v4_membered (tptp.k1_setfam_1 A)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.r2_hidden B A) (tptp.v5_membered B)) (tptp.v5_membered (tptp.k1_setfam_1 A)))) (exists ((A $$unsorted)) (and (tptp.v1_membered A) (forall ((B $$unsorted)) (=> (tptp.v1_xcmplx_0 B) (= (tptp.r2_hidden B A) (tptp.p1_s1_membered B)))))) (exists ((A $$unsorted)) (and (tptp.v2_membered A) (forall ((B $$unsorted)) (=> (tptp.v1_xreal_0 B) (= (tptp.r2_hidden B A) (tptp.p1_s2_membered B)))))) (exists ((A $$unsorted)) (and (tptp.v3_membered A) (forall ((B $$unsorted)) (=> (tptp.v1_rat_1 B) (= (tptp.r2_hidden B A) (tptp.p1_s3_membered B)))))) (exists ((A $$unsorted)) (and (tptp.v4_membered A) (forall ((B $$unsorted)) (=> (tptp.v1_int_1 B) (= (tptp.r2_hidden B A) (tptp.p1_s4_membered B)))))) (exists ((A $$unsorted)) (and (tptp.v5_membered A) (forall ((B $$unsorted)) (=> (tptp.v4_ordinal2 B) (= (tptp.r2_hidden B A) (tptp.p1_s5_membered B)))))) (exists ((A $$unsorted)) (tptp.v1_card_1 A)) (forall ((A $$unsorted)) (=> (tptp.v1_card_1 A) (and (tptp.v1_ordinal1 A) (tptp.v2_ordinal1 A) (tptp.v3_ordinal1 A)))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k3_card_1 A))) (=> (tptp.v3_ordinal1 A) (and (tptp.v1_ordinal1 _let_1) (tptp.v2_ordinal1 _let_1) (tptp.v3_ordinal1 _let_1) (tptp.v1_card_1 _let_1))))) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.k5_numbers) (and (tptp.v1_ordinal1 A) (tptp.v2_ordinal1 A) (tptp.v3_ordinal1 A) (tptp.v4_ordinal2 A) (tptp.v1_xcmplx_0 A) (tptp.v1_xreal_0 A) (not (tptp.v3_xreal_0 A)) (tptp.v1_card_1 A)))) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.k5_numbers) (and (tptp.v1_ordinal1 A) (tptp.v2_ordinal1 A) (tptp.v3_ordinal1 A) (tptp.v4_ordinal2 A) (tptp.v1_xcmplx_0 A) (tptp.v1_finset_1 A) (tptp.v1_xreal_0 A) (not (tptp.v3_xreal_0 A)) (tptp.v1_card_1 A)))) (exists ((A $$unsorted)) (and (tptp.v1_ordinal1 A) (tptp.v2_ordinal1 A) (tptp.v3_ordinal1 A) (tptp.v1_finset_1 A) (tptp.v1_card_1 A))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k1_card_1 A))) (=> (tptp.v1_finset_1 A) (and (tptp.v1_ordinal1 _let_1) (tptp.v2_ordinal1 _let_1) (tptp.v3_ordinal1 _let_1) (tptp.v1_finset_1 _let_1) (tptp.v1_card_1 _let_1))))) _let_42 true true true (forall ((A $$unsorted)) (exists ((B $$unsorted)) (and (tptp.v3_ordinal1 B) (tptp.r2_wellord2 A B)))) true true true (forall ((A $$unsorted)) (=> (tptp.v1_card_1 A) (forall ((B $$unsorted)) (=> (tptp.v1_card_1 B) (= (= A B) (tptp.r2_wellord2 A B)))))) true true true true (forall ((A $$unsorted)) (=> (tptp.v1_card_1 A) (forall ((B $$unsorted)) (=> (tptp.v1_card_1 B) (= (tptp.r2_hidden A B) (and (tptp.r1_tarski A B) (not (= A B)))))))) (forall ((A $$unsorted)) (=> (tptp.v1_card_1 A) (forall ((B $$unsorted)) (=> (tptp.v1_card_1 B) (= (tptp.r2_hidden A B) (not (tptp.r1_tarski B A))))))) true true true (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.v1_card_1 B) (= (= B (tptp.k1_card_1 A)) (tptp.r2_wellord2 A B)))) true true true true true true _let_41 (forall ((A $$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_38 (tptp.k1_card_1 tptp.k5_numbers)) (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 $$unsorted)) (= (tptp.k1_card_1 (tptp.k1_tarski A)) tptp.k4_ordinal2)) _let_40 (forall ((A $$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 $$unsorted)) (=> (tptp.v1_finset_1 A) (tptp.v1_finset_1 (tptp.k2_card_1 A)))) _let_39 (= _let_37 tptp.k5_ordinal2) (tptp.v2_card_1 _let_37) (forall ((A $$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 $$unsorted)) (let ((_let_1 (tptp.v1_funct_1 A))) (let ((_let_2 (tptp.v1_relat_1 A))) (=> (and _let_2 _let_1 (tptp.v1_finseq_1 A)) (and _let_2 _let_1 (tptp.v1_finset_1 A)))))) (and _let_36 _let_23 _let_35 _let_22 _let_34 (tptp.v1_finset_1 tptp.k1_xboole_0) _let_33) (forall ((A $$unsorted)) (exists ((B $$unsorted)) (and (tptp.m1_relset_1 B tptp.k5_numbers A) (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (tptp.v1_finset_1 B) (tptp.v1_finseq_1 B)))) (exists ((A $$unsorted)) (and (tptp.v1_xboole_0 A) (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v2_funct_1 A) (tptp.v1_finset_1 A) (tptp.v1_finseq_1 A))) (forall ((A $$unsorted)) (exists ((B $$unsorted)) (and (tptp.m1_finseq_1 B A) (tptp.v1_xboole_0 B) (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (tptp.v2_funct_1 B) (tptp.v1_finset_1 B) (tptp.v1_finseq_1 B)))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k5_finseq_1 A))) (and (tptp.v1_relat_1 _let_1) (tptp.v1_funct_1 _let_1)))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k5_finseq_1 A))) (and (tptp.v1_relat_1 _let_1) (tptp.v1_funct_1 _let_1) (tptp.v1_finset_1 _let_1) (tptp.v1_finseq_1 _let_1)))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k10_finseq_1 A B))) (and (tptp.v1_relat_1 _let_1) (tptp.v1_funct_1 _let_1)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k11_finseq_1 A B C))) (and (tptp.v1_relat_1 _let_1) (tptp.v1_funct_1 _let_1)))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k10_finseq_1 A B))) (and (tptp.v1_relat_1 _let_1) (tptp.v1_funct_1 _let_1) (tptp.v1_finset_1 _let_1) (tptp.v1_finseq_1 _let_1)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k11_finseq_1 A B C))) (and (tptp.v1_relat_1 _let_1) (tptp.v1_funct_1 _let_1) (tptp.v1_finset_1 _let_1) (tptp.v1_finseq_1 _let_1)))) (forall ((A $$unsorted)) (not (tptp.v1_xboole_0 (tptp.k13_finseq_1 A)))) (exists ((A $$unsorted)) (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v2_finseq_1 A))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k15_finseq_1 A))) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v2_finseq_1 A)) (and (tptp.v1_relat_1 _let_1) (tptp.v1_funct_1 _let_1) (tptp.v1_finset_1 _let_1) (tptp.v1_finseq_1 _let_1))))) (exists ((A $$unsorted)) (and (tptp.v1_xboole_0 A) (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v2_funct_1 A) (tptp.v1_finset_1 A))) (exists ((A $$unsorted)) (and (not (tptp.v1_xboole_0 A)) (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_finset_1 A))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_finset_1 A)) (tptp.v1_finset_1 (tptp.k2_relat_1 A)))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k5_finseq_1 A))) (and (not (tptp.v1_xboole_0 _let_1)) (tptp.v1_relat_1 _let_1) (tptp.v1_funct_1 _let_1) (tptp.v1_finset_1 _let_1) (tptp.v1_finseq_1 _let_1)))) (exists ((A $$unsorted)) (and (not (tptp.v1_xboole_0 A)) (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_finset_1 A) (tptp.v1_finseq_1 A))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k7_finseq_1 A B))) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_finseq_1 A) (not (tptp.v1_xboole_0 B)) (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (tptp.v1_finseq_1 B)) (and (not (tptp.v1_xboole_0 _let_1)) (tptp.v1_relat_1 _let_1) (tptp.v1_funct_1 _let_1) (tptp.v1_finset_1 _let_1) (tptp.v1_finseq_1 _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k7_finseq_1 B A))) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_finseq_1 A) (not (tptp.v1_xboole_0 B)) (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (tptp.v1_finseq_1 B)) (and (not (tptp.v1_xboole_0 _let_1)) (tptp.v1_relat_1 _let_1) (tptp.v1_funct_1 _let_1) (tptp.v1_finset_1 _let_1) (tptp.v1_finseq_1 _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k16_finseq_1 A B tptp.np__0))) (=> (tptp.m1_finseq_1 B A) (and (tptp.v1_xboole_0 _let_1) (tptp.v1_relat_1 _let_1) (tptp.v1_funct_1 _let_1) (tptp.v2_funct_1 _let_1) (tptp.v1_finset_1 _let_1) (tptp.v1_finseq_1 _let_1))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k13_finseq_1 A))) (and (not (tptp.v1_xboole_0 _let_1)) (tptp.v1_fraenkel _let_1)))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_finset_1 A)) (tptp.v1_finset_1 (tptp.k1_relat_1 A)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_finset_1 A)) (tptp.v1_finset_1 (tptp.k10_relat_1 A B)))) true true (forall ((A $$unsorted)) (=> (tptp.v4_ordinal2 A) (forall ((B $$unsorted)) (=> (tptp.v4_ordinal2 B) (= (tptp.r2_hidden A (tptp.k2_finseq_1 B)) (and (tptp.r1_xreal_0 tptp.np__1 A) (tptp.r1_xreal_0 A B))))))) (and (= (tptp.k2_finseq_1 tptp.np__0) tptp.k1_xboole_0) (= (tptp.k2_finseq_1 tptp.np__1) (tptp.k1_tarski tptp.np__1)) (= (tptp.k2_finseq_1 tptp.np__2) (tptp.k2_tarski tptp.np__1 tptp.np__2))) (forall ((A $$unsorted)) (=> (tptp.v4_ordinal2 A) (or (= A tptp.np__0) (tptp.r2_hidden A (tptp.k2_finseq_1 A))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k2_xcmplx_0 A tptp.np__1))) (=> (tptp.v4_ordinal2 A) (tptp.r2_hidden _let_1 (tptp.k2_finseq_1 _let_1))))) (forall ((A $$unsorted)) (=> (tptp.v4_ordinal2 A) (forall ((B $$unsorted)) (=> (tptp.v4_ordinal2 B) (= (tptp.r1_xreal_0 A B) (tptp.r1_tarski (tptp.k2_finseq_1 A) (tptp.k2_finseq_1 B))))))) (forall ((A $$unsorted)) (=> (tptp.v4_ordinal2 A) (forall ((B $$unsorted)) (=> (tptp.v4_ordinal2 B) (=> (= (tptp.k2_finseq_1 A) (tptp.k2_finseq_1 B)) (= A B)))))) (forall ((A $$unsorted)) (=> (tptp.v4_ordinal2 A) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k2_finseq_1 A))) (=> (tptp.v4_ordinal2 B) (=> (tptp.r1_xreal_0 A B) (= _let_1 (tptp.k5_subset_1 tptp.k5_numbers (tptp.k2_finseq_1 B) _let_1)))))))) (forall ((A $$unsorted)) (=> (tptp.v4_ordinal2 A) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k2_finseq_1 A))) (=> (tptp.v4_ordinal2 B) (=> (= _let_1 (tptp.k5_subset_1 tptp.k5_numbers _let_1 (tptp.k2_finseq_1 B))) (tptp.r1_xreal_0 A B))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k2_xcmplx_0 A tptp.np__1))) (=> (tptp.v4_ordinal2 A) (= (tptp.k2_xboole_0 (tptp.k2_finseq_1 A) (tptp.k1_tarski _let_1)) (tptp.k2_finseq_1 _let_1))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k2_xcmplx_0 A tptp.np__1))) (=> (tptp.v4_ordinal2 A) (= (tptp.k2_finseq_1 A) (tptp.k4_xboole_0 (tptp.k2_finseq_1 _let_1) (tptp.k1_tarski _let_1)))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (= (tptp.v1_finseq_1 A) (exists ((B $$unsorted)) (and (tptp.m2_subset_1 B tptp.k1_numbers tptp.k5_numbers) (= (tptp.k1_relat_1 A) (tptp.k2_finseq_1 B))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_finseq_1 A)) (forall ((B $$unsorted)) (=> (tptp.m2_subset_1 B tptp.k1_numbers tptp.k5_numbers) (= (= B (tptp.k3_finseq_1 A)) (= (tptp.k2_finseq_1 B) (tptp.k1_relat_1 A))))))) true (and _let_23 _let_22 _let_33) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (not (and (exists ((B $$unsorted)) (and (tptp.m2_subset_1 B tptp.k1_numbers tptp.k5_numbers) (tptp.r1_tarski (tptp.k1_relat_1 A) (tptp.k2_finseq_1 B)))) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (tptp.v1_finseq_1 B)) (not (tptp.r1_tarski A B)))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (tptp.v1_finseq_1 B)) (not (and (tptp.r2_hidden A B) (forall ((C $$unsorted)) (=> (tptp.m2_subset_1 C tptp.k1_numbers tptp.k5_numbers) (not (and (tptp.r2_hidden C (tptp.k4_finseq_1 B)) (= A (tptp.k4_tarski C (tptp.k1_funct_1 B C))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_finseq_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (tptp.v1_finseq_1 B)) (=> (and (= (tptp.k4_finseq_1 A) (tptp.k4_finseq_1 B)) (forall ((C $$unsorted)) (=> (tptp.m2_subset_1 C tptp.k1_numbers tptp.k5_numbers) (=> (tptp.r2_hidden C (tptp.k4_finseq_1 A)) (= (tptp.k1_funct_1 A C) (tptp.k1_funct_1 B C)))))) (= A B)))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_finseq_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (tptp.v1_finseq_1 B)) (=> (and (= (tptp.k3_finseq_1 A) (tptp.k3_finseq_1 B)) (forall ((C $$unsorted)) (=> (tptp.m2_subset_1 C tptp.k1_numbers tptp.k5_numbers) (=> (and (tptp.r1_xreal_0 tptp.np__1 C) (tptp.r1_xreal_0 C (tptp.k3_finseq_1 A))) (= (tptp.k1_funct_1 A C) (tptp.k1_funct_1 B C)))))) (= A B)))))) (forall ((A $$unsorted)) (=> (tptp.v4_ordinal2 A) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k7_relat_1 B (tptp.k2_finseq_1 A)))) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (tptp.v1_finseq_1 B)) (and (tptp.v1_relat_1 _let_1) (tptp.v1_funct_1 _let_1) (tptp.v1_finseq_1 _let_1))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k5_relat_1 B A))) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (tptp.v1_finseq_1 B)) (=> (tptp.r1_tarski (tptp.k2_relat_1 B) (tptp.k1_relat_1 A)) (and (tptp.v1_relat_1 _let_1) (tptp.v1_funct_1 _let_1) (tptp.v1_finseq_1 _let_1)))))))) (forall ((A $$unsorted)) (=> (tptp.v4_ordinal2 A) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (tptp.v1_finseq_1 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k2_finseq_1 A))) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C) (tptp.v1_finseq_1 C)) (=> (and (tptp.r1_xreal_0 A (tptp.k3_finseq_1 B)) (= C (tptp.k7_relat_1 B _let_1))) (and (= (tptp.k3_finseq_1 C) A) (= (tptp.k4_finseq_1 C) _let_1)))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (tptp.v1_finseq_1 B)) (= (tptp.m1_finseq_1 B A) (tptp.r1_tarski (tptp.k2_relat_1 B) A)))) true (forall ((A $$unsorted)) (=> (tptp.v4_ordinal2 A) (forall ((B $$unsorted) (C $$unsorted)) (=> (tptp.m2_finseq_1 C B) (tptp.m2_finseq_1 (tptp.k7_relat_1 C (tptp.k2_finseq_1 A)) B))))) (forall ((A $$unsorted)) (=> (tptp.v4_ordinal2 A) (forall ((B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (exists ((C $$unsorted)) (and (tptp.m2_finseq_1 C B) (= (tptp.k3_finseq_1 C) A))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_finseq_1 A)) (= (= (tptp.k3_finseq_1 A) tptp.np__0) (= A tptp.k1_xboole_0)))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_finseq_1 A)) (= (= A tptp.k1_xboole_0) (= (tptp.k4_finseq_1 A) tptp.k1_xboole_0)))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_finseq_1 A)) (= (= A tptp.k1_xboole_0) (= (tptp.k2_relat_1 A) tptp.k1_xboole_0)))) true (forall ((A $$unsorted)) (tptp.m2_finseq_1 tptp.k1_xboole_0 A)) _let_32 _let_31 true true (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_finseq_1 A)) (forall ((B $$unsorted)) (= (= A (tptp.k6_finseq_1 B)) (= (tptp.k3_finseq_1 A) tptp.np__0))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_finseq_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (tptp.v1_finseq_1 B)) (forall ((C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C) (tptp.v1_finseq_1 C)) (= (= C (tptp.k7_finseq_1 A B)) (and (= (tptp.k4_finseq_1 C) (tptp.k2_finseq_1 (tptp.k1_nat_1 (tptp.k3_finseq_1 A) (tptp.k3_finseq_1 B)))) (forall ((D $$unsorted)) (=> (tptp.m2_subset_1 D tptp.k1_numbers tptp.k5_numbers) (=> (tptp.r2_hidden D (tptp.k4_finseq_1 A)) (= (tptp.k1_funct_1 C D) (tptp.k1_funct_1 A D))))) (forall ((D $$unsorted)) (=> (tptp.m2_subset_1 D tptp.k1_numbers tptp.k5_numbers) (=> (tptp.r2_hidden D (tptp.k4_finseq_1 B)) (= (tptp.k1_funct_1 C (tptp.k1_nat_1 (tptp.k3_finseq_1 A) D)) (tptp.k1_funct_1 B D))))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_finseq_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (tptp.v1_finseq_1 B)) (= A (tptp.k7_relat_1 (tptp.k7_finseq_1 A B) (tptp.k4_finseq_1 A))))))) true (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_finseq_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (tptp.v1_finseq_1 B)) (= (tptp.k3_finseq_1 (tptp.k7_finseq_1 A B)) (tptp.k1_nat_1 (tptp.k3_finseq_1 A) (tptp.k3_finseq_1 B))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_finseq_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (tptp.v1_finseq_1 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k3_finseq_1 A))) (=> (tptp.v4_ordinal2 C) (=> (and (tptp.r1_xreal_0 (tptp.k1_nat_1 _let_1 tptp.np__1) C) (tptp.r1_xreal_0 C (tptp.k1_nat_1 _let_1 (tptp.k3_finseq_1 B)))) (= (tptp.k1_funct_1 (tptp.k7_finseq_1 A B) C) (tptp.k1_funct_1 B (tptp.k6_xcmplx_0 C _let_1))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_finseq_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (tptp.v1_finseq_1 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k3_finseq_1 A))) (let ((_let_2 (tptp.k7_finseq_1 A B))) (=> (tptp.v4_ordinal2 C) (=> (tptp.r1_xreal_0 C (tptp.k3_finseq_1 _let_2)) (or (tptp.r1_xreal_0 C _let_1) (= (tptp.k1_funct_1 _let_2 C) (tptp.k1_funct_1 B (tptp.k6_xcmplx_0 C _let_1))))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_finseq_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (tptp.v1_finseq_1 B)) (forall ((C $$unsorted)) (=> (tptp.m2_subset_1 C tptp.k1_numbers tptp.k5_numbers) (not (and (tptp.r2_hidden C (tptp.k4_finseq_1 (tptp.k7_finseq_1 A B))) (not (tptp.r2_hidden C (tptp.k4_finseq_1 A))) (forall ((D $$unsorted)) (=> (tptp.m2_subset_1 D tptp.k1_numbers tptp.k5_numbers) (not (and (tptp.r2_hidden D (tptp.k4_finseq_1 B)) (= C (tptp.k1_nat_1 (tptp.k3_finseq_1 A) D)))))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_finseq_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (tptp.v1_finseq_1 B)) (tptp.r1_tarski (tptp.k4_finseq_1 A) (tptp.k4_finseq_1 (tptp.k7_finseq_1 A B))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (tptp.v1_finseq_1 B)) (forall ((C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C) (tptp.v1_finseq_1 C)) (not (and (tptp.r2_hidden A (tptp.k4_finseq_1 B)) (forall ((D $$unsorted)) (=> (tptp.m2_subset_1 D tptp.k1_numbers tptp.k5_numbers) (not (and (= D A) (tptp.r2_hidden (tptp.k1_nat_1 (tptp.k3_finseq_1 C) D) (tptp.k4_finseq_1 (tptp.k7_finseq_1 C B))))))))))))) (forall ((A $$unsorted)) (=> (tptp.m2_subset_1 A tptp.k1_numbers tptp.k5_numbers) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (tptp.v1_finseq_1 B)) (forall ((C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C) (tptp.v1_finseq_1 C)) (=> (tptp.r2_hidden A (tptp.k4_finseq_1 B)) (tptp.r2_hidden (tptp.k1_nat_1 (tptp.k3_finseq_1 C) A) (tptp.k4_finseq_1 (tptp.k7_finseq_1 C B)))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_finseq_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (tptp.v1_finseq_1 B)) (tptp.r1_tarski (tptp.k2_relat_1 A) (tptp.k2_relat_1 (tptp.k7_finseq_1 A B))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_finseq_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (tptp.v1_finseq_1 B)) (tptp.r1_tarski (tptp.k2_relat_1 A) (tptp.k2_relat_1 (tptp.k7_finseq_1 B A))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_finseq_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (tptp.v1_finseq_1 B)) (= (tptp.k2_relat_1 (tptp.k7_finseq_1 A B)) (tptp.k2_xboole_0 (tptp.k2_relat_1 A) (tptp.k2_relat_1 B))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_finseq_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (tptp.v1_finseq_1 B)) (forall ((C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C) (tptp.v1_finseq_1 C)) (= (tptp.k7_finseq_1 (tptp.k7_finseq_1 A B) C) (tptp.k7_finseq_1 A (tptp.k7_finseq_1 B C))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_finseq_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (tptp.v1_finseq_1 B)) (forall ((C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C) (tptp.v1_finseq_1 C)) (=> (or (= (tptp.k7_finseq_1 A B) (tptp.k7_finseq_1 C B)) (= (tptp.k7_finseq_1 B A) (tptp.k7_finseq_1 B C))) (= A C)))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_finseq_1 A)) (and (= (tptp.k7_finseq_1 A tptp.k1_xboole_0) A) (= (tptp.k7_finseq_1 tptp.k1_xboole_0 A) A)))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_finseq_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (tptp.v1_finseq_1 B)) (=> (= (tptp.k7_finseq_1 A B) tptp.k1_xboole_0) (and (= A tptp.k1_xboole_0) (= B tptp.k1_xboole_0))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (= (= B (tptp.k9_finseq_1 A)) (and (= (tptp.k1_relat_1 B) (tptp.k2_finseq_1 tptp.np__1)) (= (tptp.k1_funct_1 B tptp.np__1) A))))) true (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_finseq_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (tptp.v1_finseq_1 B)) (forall ((C $$unsorted)) (=> (tptp.m2_finseq_1 (tptp.k7_finseq_1 A B) C) (and (tptp.m2_finseq_1 A C) (tptp.m2_finseq_1 B C)))))))) _let_30 _let_29 true _let_28 true true (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (tptp.v1_finseq_1 B)) (= (= B (tptp.k9_finseq_1 A)) (and (= (tptp.k4_finseq_1 B) (tptp.k2_finseq_1 tptp.np__1)) (= (tptp.k2_relat_1 B) (tptp.k1_tarski A)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (tptp.v1_finseq_1 B)) (= (= B (tptp.k9_finseq_1 A)) (and (= (tptp.k3_finseq_1 B) tptp.np__1) (= (tptp.k2_relat_1 B) (tptp.k1_tarski A)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (tptp.v1_finseq_1 B)) (= (= B (tptp.k9_finseq_1 A)) (and (= (tptp.k3_finseq_1 B) tptp.np__1) (= (tptp.k1_funct_1 B tptp.np__1) A))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (tptp.v1_finseq_1 B)) (= (tptp.k1_funct_1 (tptp.k7_finseq_1 (tptp.k9_finseq_1 A) B) tptp.np__1) A))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (tptp.v1_finseq_1 B)) (= (tptp.k1_funct_1 (tptp.k7_finseq_1 B (tptp.k9_finseq_1 A)) (tptp.k1_nat_1 (tptp.k3_finseq_1 B) tptp.np__1)) A))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k11_finseq_1 A B C))) (and (= _let_1 (tptp.k7_finseq_1 (tptp.k9_finseq_1 A) (tptp.k10_finseq_1 B C))) (= _let_1 (tptp.k7_finseq_1 (tptp.k10_finseq_1 A B) (tptp.k9_finseq_1 C)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C) (tptp.v1_finseq_1 C)) (= (= C (tptp.k10_finseq_1 A B)) (and (= (tptp.k3_finseq_1 C) tptp.np__2) (= (tptp.k1_funct_1 C tptp.np__1) A) (= (tptp.k1_funct_1 C tptp.np__2) B))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.v1_relat_1 D) (tptp.v1_funct_1 D) (tptp.v1_finseq_1 D)) (= (= D (tptp.k11_finseq_1 A B C)) (and (= (tptp.k3_finseq_1 D) tptp.np__3) (= (tptp.k1_funct_1 D tptp.np__1) A) (= (tptp.k1_funct_1 D tptp.np__2) B) (= (tptp.k1_funct_1 D tptp.np__3) C))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_finseq_1 A)) (not (and (not (= A tptp.k1_xboole_0)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (tptp.v1_finseq_1 B)) (forall ((C $$unsorted)) (not (= A (tptp.k7_finseq_1 B (tptp.k9_finseq_1 C))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_finseq_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (tptp.v1_finseq_1 B)) (forall ((C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C) (tptp.v1_finseq_1 C)) (forall ((D $$unsorted)) (=> (and (tptp.v1_relat_1 D) (tptp.v1_funct_1 D) (tptp.v1_finseq_1 D)) (not (and (= (tptp.k7_finseq_1 A B) (tptp.k7_finseq_1 C D)) (tptp.r1_xreal_0 (tptp.k3_finseq_1 A) (tptp.k3_finseq_1 C)) (forall ((E $$unsorted)) (=> (and (tptp.v1_relat_1 E) (tptp.v1_funct_1 E) (tptp.v1_finseq_1 E)) (not (= (tptp.k7_finseq_1 A E) C)))))))))))))) (forall ((A $$unsorted) (B $$unsorted)) (= (= B (tptp.k13_finseq_1 A)) (forall ((C $$unsorted)) (= (tptp.r2_hidden C B) (tptp.m2_finseq_1 C A))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_finseq_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (tptp.v1_finseq_1 B)) (=> (and (= (tptp.k2_relat_1 A) (tptp.k2_relat_1 B)) (tptp.v2_funct_1 A) (tptp.v2_funct_1 B)) (= (tptp.k3_finseq_1 A) (tptp.k3_finseq_1 B))))))) (forall ((A $$unsorted)) (tptp.r2_hidden tptp.k1_xboole_0 (tptp.k13_finseq_1 A))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (= (tptp.v2_finseq_1 A) (exists ((B $$unsorted)) (and (tptp.m2_subset_1 B tptp.k1_numbers tptp.k5_numbers) (tptp.r1_tarski (tptp.k1_relat_1 A) (tptp.k2_finseq_1 B))))))) true (forall ((A $$unsorted)) (let ((_let_1 (tptp.v1_funct_1 A))) (let ((_let_2 (tptp.v1_relat_1 A))) (=> (and _let_2 _let_1 (tptp.v1_finseq_1 A)) (and _let_2 _let_1 (tptp.v2_finseq_1 A)))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k8_relat_1 A B))) (let ((_let_2 (tptp.k7_relat_1 B A))) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (tptp.v1_finseq_1 B)) (and (tptp.v1_relat_1 _let_2) (tptp.v1_funct_1 _let_2) (tptp.v2_finseq_1 _let_2) (tptp.v1_relat_1 _let_1) (tptp.v1_funct_1 _let_1) (tptp.v2_finseq_1 _let_1)))))) (forall ((A $$unsorted)) (=> (exists ((B $$unsorted)) (and (tptp.v4_ordinal2 B) (tptp.r1_tarski A (tptp.k2_finseq_1 B)))) (forall ((B $$unsorted)) (=> (tptp.m2_finseq_1 B tptp.k5_numbers) (= (= B (tptp.k14_finseq_1 A)) (and (= (tptp.k2_relat_1 B) A) (forall ((C $$unsorted)) (=> (tptp.v4_ordinal2 C) (forall ((D $$unsorted)) (=> (tptp.v4_ordinal2 D) (forall ((E $$unsorted)) (=> (tptp.v4_ordinal2 E) (forall ((F $$unsorted)) (=> (tptp.v4_ordinal2 F) (not (and (tptp.r1_xreal_0 tptp.np__1 C) (not (tptp.r1_xreal_0 D C)) (tptp.r1_xreal_0 D (tptp.k3_finseq_1 B)) (= E (tptp.k1_funct_1 B C)) (= F (tptp.k1_funct_1 B D)) (tptp.r1_xreal_0 F E))))))))))))))))) true (forall ((A $$unsorted)) (let ((_let_1 (tptp.k1_relat_1 A))) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v2_finseq_1 A)) (= (tptp.k2_relat_1 (tptp.k14_finseq_1 _let_1)) _let_1)))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v2_finseq_1 A)) (= (tptp.k15_finseq_1 A) (tptp.k5_relat_1 (tptp.k14_finseq_1 (tptp.k1_relat_1 A)) A)))) (forall ((A $$unsorted)) (=> (exists ((B $$unsorted)) (and (tptp.m2_subset_1 B tptp.k1_numbers tptp.k5_numbers) (tptp.r1_tarski A (tptp.k2_finseq_1 B)))) (= (= (tptp.k14_finseq_1 A) tptp.k1_xboole_0) (= A tptp.k1_xboole_0)))) (forall ((A $$unsorted)) (= (tptp.v1_finset_1 A) (exists ((B $$unsorted)) (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (tptp.v1_finseq_1 B) (= A (tptp.k2_relat_1 B)))))) (forall ((A $$unsorted)) (=> (tptp.m2_subset_1 A tptp.k1_numbers tptp.k5_numbers) (forall ((B $$unsorted)) (=> (tptp.m2_subset_1 B tptp.k1_numbers tptp.k5_numbers) (=> (tptp.r2_wellord2 (tptp.k2_finseq_1 A) (tptp.k2_finseq_1 B)) (= A B)))))) (forall ((A $$unsorted)) (=> (tptp.m2_subset_1 A tptp.k1_numbers tptp.k5_numbers) (tptp.r2_wellord2 (tptp.k2_finseq_1 A) A))) (forall ((A $$unsorted)) (=> (tptp.m2_subset_1 A tptp.k1_numbers tptp.k5_numbers) (= (tptp.k1_card_1 (tptp.k2_finseq_1 A)) (tptp.k1_card_1 A)))) (forall ((A $$unsorted)) (not (and (tptp.v1_finset_1 A) (forall ((B $$unsorted)) (=> (tptp.m2_subset_1 B tptp.k1_numbers tptp.k5_numbers) (not (tptp.r2_wellord2 A (tptp.k2_finseq_1 B)))))))) (and (forall ((A $$unsorted)) (=> (tptp.v4_ordinal2 A) (= (tptp.k4_card_1 (tptp.k2_finseq_1 A)) A))) (forall ((A $$unsorted)) (=> (tptp.m2_subset_1 A tptp.k1_numbers tptp.k5_numbers) (and (= (tptp.k4_card_1 A) A) (= (tptp.k4_card_1 (tptp.k1_card_1 A)) A))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m2_finseq_1 B A) (forall ((C $$unsorted)) (=> (tptp.v4_ordinal2 C) (= (tptp.k16_finseq_1 A B C) (tptp.k7_relat_1 B (tptp.k2_finseq_1 C))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m2_finseq_1 B A) (forall ((C $$unsorted)) (=> (tptp.v4_ordinal2 C) (=> (tptp.r1_xreal_0 (tptp.k3_finseq_1 B) C) (= (tptp.k16_finseq_1 A B C) B)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m2_finseq_1 B A) (forall ((C $$unsorted)) (=> (tptp.v4_ordinal2 C) (=> (tptp.r1_xreal_0 C (tptp.k3_finseq_1 B)) (= (tptp.k3_finseq_1 (tptp.k16_finseq_1 A B C)) C)))))) (forall ((A $$unsorted)) (=> (tptp.m2_subset_1 A tptp.k1_numbers tptp.k5_numbers) (forall ((B $$unsorted)) (=> (tptp.v4_ordinal2 B) (forall ((C $$unsorted)) (=> (tptp.v4_ordinal2 C) (=> (tptp.r2_hidden B (tptp.k2_finseq_1 A)) (tptp.r2_hidden (tptp.k2_xcmplx_0 B C) (tptp.k2_finseq_1 (tptp.k2_xcmplx_0 A C)))))))))) (forall ((A $$unsorted)) (=> (tptp.m2_subset_1 A tptp.k1_numbers tptp.k5_numbers) (forall ((B $$unsorted)) (=> (tptp.v4_ordinal2 B) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k2_finseq_1 (tptp.k2_xcmplx_0 A C)))) (=> (tptp.v4_ordinal2 C) (=> (tptp.r2_hidden (tptp.k2_xcmplx_0 B C) _let_1) (or (tptp.r1_xreal_0 B tptp.np__0) (and (tptp.r2_hidden B (tptp.k2_finseq_1 A)) (tptp.r2_hidden B _let_1))))))))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (forall ((B $$unsorted)) (=> (tptp.v1_relat_1 B) (= (= B (tptp.k17_finseq_1 A)) (forall ((C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k3_relat_1 A))) (= (tptp.r2_hidden (tptp.k4_tarski C D) B) (and (tptp.r2_hidden C _let_1) (tptp.r2_hidden D _let_1) (exists ((E $$unsorted)) (let ((_let_1 (tptp.k3_finseq_1 E))) (and (tptp.v1_relat_1 E) (tptp.v1_funct_1 E) (tptp.v1_finseq_1 E) (tptp.r1_xreal_0 tptp.np__1 _let_1) (= (tptp.k1_funct_1 E tptp.np__1) C) (= (tptp.k1_funct_1 E _let_1) D) (forall ((F $$unsorted)) (=> (tptp.m2_subset_1 F tptp.k1_numbers tptp.k5_numbers) (=> (tptp.r1_xreal_0 tptp.np__1 F) (or (tptp.r1_xreal_0 (tptp.k3_finseq_1 E) F) (tptp.r2_hidden (tptp.k4_tarski (tptp.k1_funct_1 E F) (tptp.k1_funct_1 E (tptp.k1_nat_1 F tptp.np__1))) A))))))))))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.r1_tarski A B) (tptp.r1_tarski (tptp.k13_finseq_1 A) (tptp.k13_finseq_1 B)))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_finseq_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (tptp.v1_finseq_1 B)) (=> (tptp.r1_tarski A B) (tptp.r1_xreal_0 (tptp.k3_finseq_1 A) (tptp.k3_finseq_1 B))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_finseq_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (tptp.v1_finseq_1 B)) (forall ((C $$unsorted)) (=> (tptp.m2_subset_1 C tptp.k1_numbers tptp.k5_numbers) (=> (and (tptp.r1_xreal_0 tptp.np__1 C) (tptp.r1_xreal_0 C (tptp.k3_finseq_1 A))) (= (tptp.k1_funct_1 (tptp.k7_finseq_1 A B) C) (tptp.k1_funct_1 A C))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_finseq_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (tptp.v1_finseq_1 B)) (forall ((C $$unsorted)) (=> (tptp.m2_subset_1 C tptp.k1_numbers tptp.k5_numbers) (=> (and (tptp.r1_xreal_0 tptp.np__1 C) (tptp.r1_xreal_0 C (tptp.k3_finseq_1 B))) (= (tptp.k1_funct_1 (tptp.k7_finseq_1 A B) (tptp.k1_nat_1 (tptp.k3_finseq_1 A) C)) (tptp.k1_funct_1 B C))))))))) (=> (and (forall ((A $$unsorted)) (=> (tptp.m2_subset_1 A tptp.k1_numbers tptp.k5_numbers) (forall ((B $$unsorted) (C $$unsorted)) (=> (and (tptp.r2_hidden A (tptp.k2_finseq_1 tptp.f1_s1_finseq_1)) (tptp.p1_s1_finseq_1 A B) (tptp.p1_s1_finseq_1 A C)) (= B C))))) (forall ((A $$unsorted)) (=> (tptp.m2_subset_1 A tptp.k1_numbers tptp.k5_numbers) (not (and (tptp.r2_hidden A (tptp.k2_finseq_1 tptp.f1_s1_finseq_1)) (forall ((B $$unsorted)) (not (tptp.p1_s1_finseq_1 A B)))))))) (exists ((A $$unsorted)) (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_finseq_1 A) (= (tptp.k4_finseq_1 A) (tptp.k2_finseq_1 tptp.f1_s1_finseq_1)) (forall ((B $$unsorted)) (=> (tptp.m2_subset_1 B tptp.k1_numbers tptp.k5_numbers) (=> (tptp.r2_hidden B (tptp.k2_finseq_1 tptp.f1_s1_finseq_1)) (tptp.p1_s1_finseq_1 B (tptp.k1_funct_1 A B)))))))) (exists ((A $$unsorted)) (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_finseq_1 A) (= (tptp.k3_finseq_1 A) tptp.f1_s2_finseq_1) (forall ((B $$unsorted)) (=> (tptp.m2_subset_1 B tptp.k1_numbers tptp.k5_numbers) (=> (tptp.r2_hidden B (tptp.k2_finseq_1 tptp.f1_s2_finseq_1)) (= (tptp.k1_funct_1 A B) (tptp.f2_s2_finseq_1 B))))))) (=> (and (tptp.p1_s3_finseq_1 tptp.k1_xboole_0) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_finseq_1 A)) (forall ((B $$unsorted)) (=> (tptp.p1_s3_finseq_1 A) (tptp.p1_s3_finseq_1 (tptp.k7_finseq_1 A (tptp.k9_finseq_1 B)))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_finseq_1 A)) (tptp.p1_s3_finseq_1 A)))) (exists ((A $$unsorted)) (forall ((B $$unsorted)) (= (tptp.r2_hidden B A) (exists ((C $$unsorted)) (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C) (tptp.v1_finseq_1 C) (tptp.r2_hidden C (tptp.k13_finseq_1 tptp.f1_s4_finseq_1)) (tptp.p1_s4_finseq_1 C) (= B C)))))) (=> (forall ((A $$unsorted)) (=> (tptp.m2_subset_1 A tptp.k1_numbers tptp.k5_numbers) (not (and (tptp.r2_hidden A (tptp.k2_finseq_1 tptp.f2_s5_finseq_1)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.f1_s5_finseq_1) (not (tptp.p1_s5_finseq_1 A B)))))))) (exists ((A $$unsorted)) (and (tptp.m2_finseq_1 A tptp.f1_s5_finseq_1) (= (tptp.k4_finseq_1 A) (tptp.k2_finseq_1 tptp.f2_s5_finseq_1)) (forall ((B $$unsorted)) (=> (tptp.m2_subset_1 B tptp.k1_numbers tptp.k5_numbers) (=> (tptp.r2_hidden B (tptp.k2_finseq_1 tptp.f2_s5_finseq_1)) (tptp.p1_s5_finseq_1 B (tptp.k1_funct_1 A B)))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_finseq_1 B A) (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (tptp.v1_finseq_1 B)))) (forall ((A $$unsorted)) (exists ((B $$unsorted)) (tptp.m1_finseq_1 B A))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m2_finseq_1 B A) (and (tptp.v1_funct_1 B) (tptp.v1_finseq_1 B) (tptp.m2_relset_1 B tptp.k5_numbers A)))) (forall ((A $$unsorted)) (exists ((B $$unsorted)) (tptp.m2_finseq_1 B A))) _let_27 true (forall ((A $$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 $$unsorted)) (exists ((B $$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))))))))))))))))))))))) _let_26 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))) _let_25 (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 $$unsorted)) (let ((_let_1 (tptp.k3_finseq_2 A))) (and (not (tptp.v1_xboole_0 _let_1)) (tptp.m1_finseq_2 _let_1 A)))) _let_24 (forall ((A $$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 $$unsorted)) (and (tptp.m2_subset_1 C tptp.k1_numbers tptp.k5_numbers) (= A (tptp.k4_finseq_2 C B))))))) (exists ((A $$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 $$unsorted)) (=> (tptp.r2_hidden B (tptp.k1_relat_1 A)) (tptp.v1_card_1 (tptp.k1_funct_1 A B))))))) true true (and _let_23 _let_22 (tptp.v1_card_3 tptp.k1_xboole_0)) (forall ((A $$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_3) (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)))) (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)))))) _let_21 (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_20 _let_20) (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))) _let_19 (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))))) _let_18 (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) (B $$unsorted)) (=> (tptp.v1_relat_1 A) (tptp.v1_relat_1 (tptp.k1_realset1 A B)))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k1_realset1 A B))) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (and (tptp.v1_relat_1 _let_1) (tptp.v1_funct_1 _let_1))))) (exists ((A $$unsorted)) (and (not (tptp.v1_xboole_0 A)) (tptp.v1_realset1 A))) (exists ((A $$unsorted)) (and (not (tptp.v1_xboole_0 A)) (not (tptp.v1_realset1 A)))) (forall ((A $$unsorted)) (=> (not (tptp.v1_realset1 A)) (not (tptp.v1_xboole_0 A)))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k1_tarski A))) (and (not (tptp.v1_xboole_0 _let_1)) (tptp.v1_finset_1 _let_1) (tptp.v1_realset1 _let_1)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v1_realset1 A)) (tptp.m4_realset1 B A)) (not (tptp.v1_xboole_0 (tptp.k4_xboole_0 A B))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_realset1 A)) (exists ((B $$unsorted)) (and (tptp.m4_realset1 B A) (not (tptp.v1_xboole_0 B)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_1 A) (tptp.m2_relset_1 C _let_1 A)) (=> (tptp.r2_hidden B _let_1) (tptp.r2_hidden (tptp.k1_funct_1 C B) A))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_1 A) (tptp.m2_relset_1 B _let_1 A)) (exists ((C $$unsorted)) (and (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 A)) (forall ((D $$unsorted)) (=> (tptp.r2_hidden D (tptp.k2_zfmisc_1 C C)) (tptp.r2_hidden (tptp.k1_funct_1 B D) C)))))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_1 A) (tptp.m2_relset_1 B _let_1 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 A)) (= (tptp.r1_realset1 A B C) (forall ((D $$unsorted)) (=> (tptp.r2_hidden D (tptp.k2_zfmisc_1 C C)) (tptp.r2_hidden (tptp.k1_funct_1 B D) C))))))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_1 A) (tptp.m2_relset_1 B _let_1 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 A)) (= (tptp.m1_realset1 C A B) (forall ((D $$unsorted)) (=> (tptp.r2_hidden D (tptp.k2_zfmisc_1 C C)) (tptp.r2_hidden (tptp.k1_funct_1 B D) C))))))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (forall ((B $$unsorted)) (= (tptp.k1_realset1 A B) (tptp.k7_relat_1 A (tptp.k2_zfmisc_1 B B)))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_1 A) (tptp.m2_relset_1 B _let_1 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 C C))) (let ((_let_2 (tptp.k1_realset1 B C))) (=> (tptp.m1_realset1 C A B) (and (tptp.v1_funct_1 _let_2) (tptp.v1_funct_2 _let_2 _let_1 C) (tptp.m2_relset_1 _let_2 _let_1 C))))))))) _let_17 (forall ((A $$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_3 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))))))) (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 $$unsorted)) (tptp.m1_pboole (tptp.k2_pre_circ A B) A)) _let_16 (forall ((A $$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 $$unsorted)) (=> (tptp.m1_pboole B A) (= (tptp.k7_mssubfam A B) (tptp.k1_mboolean A B)))) (exists ((A $$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 $$unsorted)) (and (tptp.l1_lattices A) (tptp.v1_lattices A))) (exists ((A $$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_rlvect_1 A) (tptp.v1_rlvect_1 A))) (exists ((A $$unsorted)) (and (tptp.l2_rlvect_1 A) (tptp.v2_rlvect_1 A))) (exists ((A $$unsorted)) (and (tptp.l2_rlvect_1 A) (not (tptp.v3_struct_0 A)))) (exists ((A $$unsorted)) (and (tptp.l1_rlvect_1 A) (not (tptp.v3_struct_0 A)) (tptp.v1_rlvect_1 A))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.g2_rlvect_1 A B C D))) (let ((_let_2 (tptp.k2_zfmisc_1 tptp.k1_numbers A))) (let ((_let_3 (tptp.k2_zfmisc_1 A A))) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.m1_subset_1 B A) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_3 A) (tptp.m1_relset_1 C _let_3 A) (tptp.v1_funct_1 D) (tptp.v1_funct_2 D _let_2 A) (tptp.m1_relset_1 D _let_2 A)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v2_rlvect_1 _let_1))))))) (exists ((A $$unsorted)) (and (tptp.l1_rlvect_1 A) (not (tptp.v3_struct_0 A)) (tptp.v1_rlvect_1 A) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A))) (exists ((A $$unsorted)) (and (tptp.l2_rlvect_1 A) (not (tptp.v3_struct_0 A)) (tptp.v2_rlvect_1 A) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v7_rlvect_1 A))) (forall ((A $$unsorted)) (=> (tptp.l1_struct_0 A) (forall ((B $$unsorted)) (= (tptp.r1_rlvect_1 A B) (tptp.r2_hidden B (tptp.u1_struct_0 A)))))) true true (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_struct_0 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (tptp.r1_rlvect_1 A B))))) (forall ((A $$unsorted)) (=> (tptp.l2_struct_0 A) (= (tptp.k1_rlvect_1 A) (tptp.u2_struct_0 A)))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_rlvect_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 C _let_1) (= (tptp.k2_rlvect_1 A B C) (tptp.k8_funct_2 (tptp.k2_zfmisc_1 _let_1 _let_1) _let_1 (tptp.u1_rlvect_1 A) (tptp.k1_domain_1 _let_1 _let_1 B C)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l2_rlvect_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 C tptp.k1_numbers) (= (tptp.k3_rlvect_1 A B C) (tptp.k8_funct_2 (tptp.k2_zfmisc_1 tptp.k1_numbers _let_1) _let_1 (tptp.u2_rlvect_1 A) (tptp.k1_domain_1 tptp.k1_numbers _let_1 C B)))))))))) true (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_rlvect_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 C _let_1) (= (tptp.k2_rlvect_1 A B C) (tptp.k2_binop_1 _let_1 _let_1 _let_1 (tptp.u1_rlvect_1 A) B C))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_rlvect_1 A)) (= (tptp.v3_rlvect_1 A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (tptp.k2_rlvect_1 A B C) (tptp.k2_rlvect_1 A C B))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_rlvect_1 A)) (= (tptp.v4_rlvect_1 A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (= (tptp.k2_rlvect_1 A (tptp.k2_rlvect_1 A B C) D) (tptp.k2_rlvect_1 A B (tptp.k2_rlvect_1 A C D)))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_rlvect_1 A)) (= (tptp.v5_rlvect_1 A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (= (tptp.k2_rlvect_1 A B (tptp.k1_rlvect_1 A)) B)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_rlvect_1 A)) (= (tptp.v6_rlvect_1 A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (exists ((C $$unsorted)) (and (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (tptp.k2_rlvect_1 A B C) (tptp.k1_rlvect_1 A))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l2_rlvect_1 A)) (= (tptp.v7_rlvect_1 A) (and (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.k1_numbers) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (= (tptp.k3_rlvect_1 A (tptp.k2_rlvect_1 A C D) B) (tptp.k2_rlvect_1 A (tptp.k3_rlvect_1 A C B) (tptp.k3_rlvect_1 A D B))))))))) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.k1_numbers) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C tptp.k1_numbers) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (= (tptp.k3_rlvect_1 A D (tptp.k3_real_1 B C)) (tptp.k2_rlvect_1 A (tptp.k3_rlvect_1 A D B) (tptp.k3_rlvect_1 A D C))))))))) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.k1_numbers) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C tptp.k1_numbers) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (= (tptp.k3_rlvect_1 A D (tptp.k4_real_1 B C)) (tptp.k3_rlvect_1 A (tptp.k3_rlvect_1 A D C) B)))))))) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (= (tptp.k3_rlvect_1 A B tptp.np__1) B))))))) true (forall ((A $$unsorted)) (let ((_let_1 (tptp.l2_rlvect_1 A))) (let ((_let_2 (not (tptp.v3_struct_0 A)))) (=> (and _let_2 _let_1) (=> (and (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (tptp.k2_rlvect_1 A B C) (tptp.k2_rlvect_1 A C B)))))) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (= (tptp.k2_rlvect_1 A (tptp.k2_rlvect_1 A B C) D) (tptp.k2_rlvect_1 A B (tptp.k2_rlvect_1 A C D))))))))) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (= (tptp.k2_rlvect_1 A B (tptp.k1_rlvect_1 A)) B))) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (exists ((C $$unsorted)) (and (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (tptp.k2_rlvect_1 A B C) (tptp.k1_rlvect_1 A)))))) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.k1_numbers) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (= (tptp.k3_rlvect_1 A (tptp.k2_rlvect_1 A C D) B) (tptp.k2_rlvect_1 A (tptp.k3_rlvect_1 A C B) (tptp.k3_rlvect_1 A D B))))))))) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.k1_numbers) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C tptp.k1_numbers) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (= (tptp.k3_rlvect_1 A D (tptp.k3_real_1 B C)) (tptp.k2_rlvect_1 A (tptp.k3_rlvect_1 A D B) (tptp.k3_rlvect_1 A D C))))))))) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.k1_numbers) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C tptp.k1_numbers) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (= (tptp.k3_rlvect_1 A D (tptp.k4_real_1 B C)) (tptp.k3_rlvect_1 A (tptp.k3_rlvect_1 A D C) B)))))))) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (= (tptp.k3_rlvect_1 A B tptp.np__1) B)))) (and _let_2 (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v7_rlvect_1 A) _let_1)))))) true true (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.l1_rlvect_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k1_rlvect_1 A))) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (and (= (tptp.k2_rlvect_1 A B _let_1) B) (= (tptp.k2_rlvect_1 A _let_1 B) B))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_rlvect_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (=> (and (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (= C (tptp.k5_rlvect_1 A B)) (= (tptp.k2_rlvect_1 A B C) (tptp.k1_rlvect_1 A)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_rlvect_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (tptp.k6_rlvect_1 A B C) (tptp.k2_rlvect_1 A B (tptp.k5_rlvect_1 A C))))))))) true true true true true (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.l1_rlvect_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k1_rlvect_1 A))) (let ((_let_2 (tptp.k5_rlvect_1 A B))) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (and (= (tptp.k2_rlvect_1 A B _let_2) _let_1) (= (tptp.k2_rlvect_1 A _let_2 B) _let_1)))))))) true true (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.l1_rlvect_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (=> (= (tptp.k2_rlvect_1 A B C) (tptp.k1_rlvect_1 A)) (= B (tptp.k5_rlvect_1 A C))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.l1_rlvect_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (exists ((D $$unsorted)) (and (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (= (tptp.k2_rlvect_1 A B D) C))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.l1_rlvect_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.u1_struct_0 A)) (=> (or (= (tptp.k2_rlvect_1 A B D) (tptp.k2_rlvect_1 A B E)) (= (tptp.k2_rlvect_1 A D B) (tptp.k2_rlvect_1 A E B))) (= D E)))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.l1_rlvect_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (=> (or (= (tptp.k2_rlvect_1 A B C) B) (= (tptp.k2_rlvect_1 A C B) B)) (= C (tptp.k1_rlvect_1 A))))))))) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.k1_numbers) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v7_rlvect_1 B) (tptp.l2_rlvect_1 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k1_rlvect_1 B))) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 B)) (=> (or (= A tptp.np__0) (= C _let_1)) (= (tptp.k3_rlvect_1 B C A) _let_1))))))))) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.k1_numbers) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v7_rlvect_1 B) (tptp.l2_rlvect_1 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k1_rlvect_1 B))) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 B)) (not (and (= (tptp.k3_rlvect_1 B C A) _let_1) (not (= A tptp.np__0)) (not (= C _let_1))))))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k1_rlvect_1 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.l1_rlvect_1 A)) (= (tptp.k5_rlvect_1 A _let_1) _let_1)))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.l1_rlvect_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (= (tptp.k6_rlvect_1 A B (tptp.k1_rlvect_1 A)) B))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.l1_rlvect_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (= (tptp.k6_rlvect_1 A (tptp.k1_rlvect_1 A) B) (tptp.k5_rlvect_1 A B)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.l1_rlvect_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (= (tptp.k6_rlvect_1 A B B) (tptp.k1_rlvect_1 A)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v7_rlvect_1 A) (tptp.l2_rlvect_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (= (tptp.k5_rlvect_1 A B) (tptp.k3_rlvect_1 A B (tptp.k1_real_1 tptp.np__1))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.l1_rlvect_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (= (tptp.k5_rlvect_1 A (tptp.k5_rlvect_1 A B)) B))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.l1_rlvect_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (=> (= (tptp.k5_rlvect_1 A B) (tptp.k5_rlvect_1 A C)) (= B C)))))))) true (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v7_rlvect_1 A) (tptp.l2_rlvect_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (=> (= B (tptp.k5_rlvect_1 A B)) (= B (tptp.k1_rlvect_1 A))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v7_rlvect_1 A) (tptp.l2_rlvect_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k1_rlvect_1 A))) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (=> (= (tptp.k4_rlvect_1 A B B) _let_1) (= B _let_1))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.l1_rlvect_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (=> (= (tptp.k6_rlvect_1 A B C) (tptp.k1_rlvect_1 A)) (= B C)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.l1_rlvect_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (exists ((D $$unsorted)) (and (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (= (tptp.k6_rlvect_1 A C D) B))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.l1_rlvect_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (=> (= (tptp.k6_rlvect_1 A B C) (tptp.k6_rlvect_1 A B D)) (= C D)))))))))) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.k1_numbers) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v7_rlvect_1 B) (tptp.l2_rlvect_1 B)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 B)) (= (tptp.k3_rlvect_1 B (tptp.k5_rlvect_1 B C) A) (tptp.k3_rlvect_1 B C (tptp.k1_real_1 A))))))))) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.k1_numbers) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v7_rlvect_1 B) (tptp.l2_rlvect_1 B)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 B)) (= (tptp.k3_rlvect_1 B (tptp.k5_rlvect_1 B C) A) (tptp.k5_rlvect_1 B (tptp.k3_rlvect_1 B C A))))))))) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.k1_numbers) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v7_rlvect_1 B) (tptp.l2_rlvect_1 B)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 B)) (= (tptp.k3_rlvect_1 B (tptp.k5_rlvect_1 B C) (tptp.k1_real_1 A)) (tptp.k3_rlvect_1 B C A)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.l1_rlvect_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (= (tptp.k6_rlvect_1 A B (tptp.k2_rlvect_1 A C D)) (tptp.k6_rlvect_1 A (tptp.k6_rlvect_1 A B D) C)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_rlvect_1 A) (tptp.l1_rlvect_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (= (tptp.k6_rlvect_1 A (tptp.k2_rlvect_1 A B C) D) (tptp.k2_rlvect_1 A B (tptp.k6_rlvect_1 A C D))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.l1_rlvect_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (= (tptp.k6_rlvect_1 A B (tptp.k6_rlvect_1 A C D)) (tptp.k4_rlvect_1 A (tptp.k6_rlvect_1 A B C) D)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.l1_rlvect_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (tptp.k5_rlvect_1 A (tptp.k2_rlvect_1 A B C)) (tptp.k6_rlvect_1 A (tptp.k5_rlvect_1 A C) B)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.l1_rlvect_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (tptp.k5_rlvect_1 A (tptp.k2_rlvect_1 A B C)) (tptp.k2_rlvect_1 A (tptp.k5_rlvect_1 A C) (tptp.k5_rlvect_1 A B))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.l1_rlvect_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (tptp.k6_rlvect_1 A (tptp.k5_rlvect_1 A B) C) (tptp.k6_rlvect_1 A (tptp.k5_rlvect_1 A C) B)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.l1_rlvect_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (tptp.k5_rlvect_1 A (tptp.k6_rlvect_1 A B C)) (tptp.k2_rlvect_1 A C (tptp.k5_rlvect_1 A B))))))))) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.k1_numbers) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v7_rlvect_1 B) (tptp.l2_rlvect_1 B)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 B)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 B)) (= (tptp.k3_rlvect_1 B (tptp.k6_rlvect_1 B C D) A) (tptp.k6_rlvect_1 B (tptp.k3_rlvect_1 B C A) (tptp.k3_rlvect_1 B D A))))))))))) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.k1_numbers) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.k1_numbers) (forall ((C $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.v3_rlvect_1 C) (tptp.v4_rlvect_1 C) (tptp.v5_rlvect_1 C) (tptp.v6_rlvect_1 C) (tptp.v7_rlvect_1 C) (tptp.l2_rlvect_1 C)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 C)) (= (tptp.k3_rlvect_1 C D (tptp.k5_real_1 A B)) (tptp.k6_rlvect_1 C (tptp.k3_rlvect_1 C D A) (tptp.k3_rlvect_1 C D B))))))))))) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.k1_numbers) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v7_rlvect_1 B) (tptp.l2_rlvect_1 B)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 B)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 B)) (=> (= (tptp.k3_rlvect_1 B C A) (tptp.k3_rlvect_1 B D A)) (or (= A tptp.np__0) (= C D))))))))))) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.k1_numbers) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.k1_numbers) (forall ((C $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.v3_rlvect_1 C) (tptp.v4_rlvect_1 C) (tptp.v5_rlvect_1 C) (tptp.v6_rlvect_1 C) (tptp.v7_rlvect_1 C) (tptp.l2_rlvect_1 C)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 C)) (=> (= (tptp.k3_rlvect_1 C D A) (tptp.k3_rlvect_1 C D B)) (or (= D (tptp.k1_rlvect_1 C)) (= A B))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_rlvect_1 A)) (forall ((B $$unsorted)) (=> (tptp.m2_finseq_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (= C (tptp.k9_rlvect_1 A B)) (exists ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D tptp.k5_numbers _let_1) (tptp.m2_relset_1 D tptp.k5_numbers _let_1) (= C (tptp.k8_funct_2 tptp.k5_numbers _let_1 D (tptp.k3_finseq_1 B))) (= (tptp.k8_funct_2 tptp.k5_numbers _let_1 D tptp.np__0) (tptp.k1_rlvect_1 A)) (forall ((E $$unsorted)) (=> (tptp.m2_subset_1 E tptp.k1_numbers tptp.k5_numbers) (forall ((F $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.k1_nat_1 E tptp.np__1))) (=> (tptp.m1_subset_1 F _let_1) (=> (= F (tptp.k1_funct_1 B _let_2)) (or (tptp.r1_xreal_0 (tptp.k3_finseq_1 B) E) (= (tptp.k8_funct_2 tptp.k5_numbers _let_1 D _let_2) (tptp.k2_rlvect_1 A (tptp.k8_funct_2 tptp.k5_numbers _let_1 D E) F)))))))))))))))))))) true true (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_rlvect_1 A)) (forall ((B $$unsorted)) (=> (tptp.m2_finseq_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m2_subset_1 C tptp.k1_numbers tptp.k5_numbers) (forall ((D $$unsorted)) (=> (tptp.m2_subset_1 D tptp.k1_numbers tptp.k5_numbers) (=> (and (tptp.r2_hidden C (tptp.k2_finseq_1 D)) (= (tptp.k3_finseq_1 B) D)) (tptp.m1_subset_1 (tptp.k1_funct_1 B C) (tptp.u1_struct_0 A))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_rlvect_1 A)) (forall ((B $$unsorted)) (=> (tptp.m2_finseq_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m2_finseq_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k3_finseq_1 B))) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (=> (and (= _let_1 (tptp.k1_nat_1 (tptp.k3_finseq_1 C) tptp.np__1)) (= C (tptp.k7_relat_1 B (tptp.k4_finseq_1 C))) (= D (tptp.k1_funct_1 B _let_1))) (= (tptp.k9_rlvect_1 A B) (tptp.k2_rlvect_1 A (tptp.k9_rlvect_1 A C) D)))))))))))) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.k1_numbers) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v7_rlvect_1 B) (tptp.l2_rlvect_1 B)) (forall ((C $$unsorted)) (=> (tptp.m2_finseq_1 C (tptp.u1_struct_0 B)) (forall ((D $$unsorted)) (=> (tptp.m2_finseq_1 D (tptp.u1_struct_0 B)) (=> (and (= (tptp.k3_finseq_1 C) (tptp.k3_finseq_1 D)) (forall ((E $$unsorted)) (=> (tptp.m2_subset_1 E tptp.k1_numbers tptp.k5_numbers) (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F (tptp.u1_struct_0 B)) (=> (and (tptp.r2_hidden E (tptp.k4_finseq_1 C)) (= F (tptp.k1_funct_1 D E))) (= (tptp.k1_funct_1 C E) (tptp.k3_rlvect_1 B F A)))))))) (= (tptp.k9_rlvect_1 B C) (tptp.k3_rlvect_1 B (tptp.k9_rlvect_1 B D) A))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.l1_rlvect_1 A)) (forall ((B $$unsorted)) (=> (tptp.m2_finseq_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m2_finseq_1 C (tptp.u1_struct_0 A)) (=> (and (= (tptp.k3_finseq_1 B) (tptp.k3_finseq_1 C)) (forall ((D $$unsorted)) (=> (tptp.m2_subset_1 D tptp.k1_numbers tptp.k5_numbers) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.u1_struct_0 A)) (=> (and (tptp.r2_hidden D (tptp.k4_finseq_1 B)) (= E (tptp.k1_funct_1 C D))) (= (tptp.k1_funct_1 B D) (tptp.k5_rlvect_1 A E)))))))) (= (tptp.k9_rlvect_1 A B) (tptp.k5_rlvect_1 A (tptp.k9_rlvect_1 A C)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.l1_rlvect_1 A)) (forall ((B $$unsorted)) (=> (tptp.m2_finseq_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m2_finseq_1 C _let_1) (= (tptp.k9_rlvect_1 A (tptp.k8_finseq_1 _let_1 B C)) (tptp.k2_rlvect_1 A (tptp.k9_rlvect_1 A B) (tptp.k9_rlvect_1 A C)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.l1_rlvect_1 A)) (forall ((B $$unsorted)) (=> (tptp.m2_finseq_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m2_finseq_1 C (tptp.u1_struct_0 A)) (=> (and (= (tptp.k2_relat_1 B) (tptp.k2_relat_1 C)) (tptp.v2_funct_1 B) (tptp.v2_funct_1 C)) (= (tptp.k9_rlvect_1 A B) (tptp.k9_rlvect_1 A C))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_rlvect_1 A)) (= (tptp.k9_rlvect_1 A (tptp.k6_finseq_1 (tptp.u1_struct_0 A))) (tptp.k1_rlvect_1 A)))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.l1_rlvect_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 B _let_1) (= (tptp.k9_rlvect_1 A (tptp.k12_finseq_1 _let_1 B)) B)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.l1_rlvect_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (tptp.k9_rlvect_1 A (tptp.k7_rlvect_1 A B C)) (tptp.k2_rlvect_1 A B C)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.l1_rlvect_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (= (tptp.k9_rlvect_1 A (tptp.k8_rlvect_1 A B C D)) (tptp.k2_rlvect_1 A (tptp.k2_rlvect_1 A B C) D)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v7_rlvect_1 A) (tptp.l2_rlvect_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.k1_numbers) (= (tptp.k3_rlvect_1 A (tptp.k9_rlvect_1 A (tptp.k6_finseq_1 (tptp.u1_struct_0 A))) B) (tptp.k1_rlvect_1 A)))))) true (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v7_rlvect_1 A) (tptp.l2_rlvect_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.k1_numbers) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (= (tptp.k3_rlvect_1 A (tptp.k9_rlvect_1 A (tptp.k7_rlvect_1 A C D)) B) (tptp.k4_rlvect_1 A (tptp.k3_rlvect_1 A C B) (tptp.k3_rlvect_1 A D B))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v7_rlvect_1 A) (tptp.l2_rlvect_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.k1_numbers) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.u1_struct_0 A)) (= (tptp.k3_rlvect_1 A (tptp.k9_rlvect_1 A (tptp.k8_rlvect_1 A C D E)) B) (tptp.k4_rlvect_1 A (tptp.k4_rlvect_1 A (tptp.k3_rlvect_1 A C B) (tptp.k3_rlvect_1 A D B)) (tptp.k3_rlvect_1 A E B))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.l1_rlvect_1 A)) (= (tptp.k5_rlvect_1 A (tptp.k9_rlvect_1 A (tptp.k6_finseq_1 (tptp.u1_struct_0 A)))) (tptp.k1_rlvect_1 A)))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.l1_rlvect_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 B _let_1) (= (tptp.k5_rlvect_1 A (tptp.k9_rlvect_1 A (tptp.k12_finseq_1 _let_1 B))) (tptp.k5_rlvect_1 A B))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.l1_rlvect_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (tptp.k5_rlvect_1 A (tptp.k9_rlvect_1 A (tptp.k7_rlvect_1 A B C))) (tptp.k6_rlvect_1 A (tptp.k5_rlvect_1 A B) C)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.l1_rlvect_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (= (tptp.k5_rlvect_1 A (tptp.k9_rlvect_1 A (tptp.k8_rlvect_1 A B C D))) (tptp.k6_rlvect_1 A (tptp.k6_rlvect_1 A (tptp.k5_rlvect_1 A B) C) D)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.l1_rlvect_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (tptp.k9_rlvect_1 A (tptp.k7_rlvect_1 A B C)) (tptp.k9_rlvect_1 A (tptp.k7_rlvect_1 A C B))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.l1_rlvect_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 C _let_1) (= (tptp.k9_rlvect_1 A (tptp.k7_rlvect_1 A B C)) (tptp.k2_rlvect_1 A (tptp.k9_rlvect_1 A (tptp.k12_finseq_1 _let_1 B)) (tptp.k9_rlvect_1 A (tptp.k12_finseq_1 _let_1 C))))))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k1_rlvect_1 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.l1_rlvect_1 A)) (= (tptp.k9_rlvect_1 A (tptp.k7_rlvect_1 A _let_1 _let_1)) _let_1)))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.l1_rlvect_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k1_rlvect_1 A))) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (and (= (tptp.k9_rlvect_1 A (tptp.k7_rlvect_1 A _let_1 B)) B) (= (tptp.k9_rlvect_1 A (tptp.k7_rlvect_1 A B _let_1)) B))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.l1_rlvect_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k1_rlvect_1 A))) (let ((_let_2 (tptp.k5_rlvect_1 A B))) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (and (= (tptp.k9_rlvect_1 A (tptp.k7_rlvect_1 A B _let_2)) _let_1) (= (tptp.k9_rlvect_1 A (tptp.k7_rlvect_1 A _let_2 B)) _let_1)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.l1_rlvect_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (tptp.k9_rlvect_1 A (tptp.k7_rlvect_1 A B (tptp.k5_rlvect_1 A C))) (tptp.k6_rlvect_1 A B C)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.l1_rlvect_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (tptp.k9_rlvect_1 A (tptp.k7_rlvect_1 A (tptp.k5_rlvect_1 A B) (tptp.k5_rlvect_1 A C))) (tptp.k5_rlvect_1 A (tptp.k2_rlvect_1 A C B))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v7_rlvect_1 A) (tptp.l2_rlvect_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (= (tptp.k9_rlvect_1 A (tptp.k7_rlvect_1 A B B)) (tptp.k3_rlvect_1 A B tptp.np__2)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v7_rlvect_1 A) (tptp.l2_rlvect_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k5_rlvect_1 A B))) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (= (tptp.k9_rlvect_1 A (tptp.k7_rlvect_1 A _let_1 _let_1)) (tptp.k3_rlvect_1 A B (tptp.k1_real_1 tptp.np__2)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.l1_rlvect_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 D _let_1) (= (tptp.k9_rlvect_1 A (tptp.k8_rlvect_1 A B C D)) (tptp.k2_rlvect_1 A (tptp.k2_rlvect_1 A (tptp.k9_rlvect_1 A (tptp.k12_finseq_1 _let_1 B)) (tptp.k9_rlvect_1 A (tptp.k12_finseq_1 _let_1 C))) (tptp.k9_rlvect_1 A (tptp.k12_finseq_1 _let_1 D))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.l1_rlvect_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (= (tptp.k9_rlvect_1 A (tptp.k8_rlvect_1 A B C D)) (tptp.k2_rlvect_1 A (tptp.k9_rlvect_1 A (tptp.k7_rlvect_1 A B C)) D)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.l1_rlvect_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (= (tptp.k9_rlvect_1 A (tptp.k8_rlvect_1 A C B D)) (tptp.k4_rlvect_1 A (tptp.k9_rlvect_1 A (tptp.k7_rlvect_1 A B D)) C)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.l1_rlvect_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (= (tptp.k9_rlvect_1 A (tptp.k8_rlvect_1 A C B D)) (tptp.k4_rlvect_1 A (tptp.k9_rlvect_1 A (tptp.k7_rlvect_1 A C D)) B)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.l1_rlvect_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (= (tptp.k9_rlvect_1 A (tptp.k8_rlvect_1 A C B D)) (tptp.k9_rlvect_1 A (tptp.k8_rlvect_1 A C D B))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.l1_rlvect_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (= (tptp.k9_rlvect_1 A (tptp.k8_rlvect_1 A C B D)) (tptp.k9_rlvect_1 A (tptp.k8_rlvect_1 A B C D))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.l1_rlvect_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (= (tptp.k9_rlvect_1 A (tptp.k8_rlvect_1 A C B D)) (tptp.k9_rlvect_1 A (tptp.k8_rlvect_1 A B D C))))))))))) true (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.l1_rlvect_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (= (tptp.k9_rlvect_1 A (tptp.k8_rlvect_1 A C B D)) (tptp.k9_rlvect_1 A (tptp.k8_rlvect_1 A D B C))))))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k1_rlvect_1 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.l1_rlvect_1 A)) (= (tptp.k9_rlvect_1 A (tptp.k8_rlvect_1 A _let_1 _let_1 _let_1)) _let_1)))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.l1_rlvect_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k1_rlvect_1 A))) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (and (= (tptp.k9_rlvect_1 A (tptp.k8_rlvect_1 A _let_1 _let_1 B)) B) (= (tptp.k9_rlvect_1 A (tptp.k8_rlvect_1 A _let_1 B _let_1)) B) (= (tptp.k9_rlvect_1 A (tptp.k8_rlvect_1 A B _let_1 _let_1)) B))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.l1_rlvect_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k2_rlvect_1 A B C))) (let ((_let_2 (tptp.k1_rlvect_1 A))) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (and (= (tptp.k9_rlvect_1 A (tptp.k8_rlvect_1 A _let_2 B C)) _let_1) (= (tptp.k9_rlvect_1 A (tptp.k8_rlvect_1 A B C _let_2)) _let_1) (= (tptp.k9_rlvect_1 A (tptp.k8_rlvect_1 A B _let_2 C)) _let_1)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v7_rlvect_1 A) (tptp.l2_rlvect_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (= (tptp.k9_rlvect_1 A (tptp.k8_rlvect_1 A B B B)) (tptp.k3_rlvect_1 A B tptp.np__3)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.l1_rlvect_1 A)) (forall ((B $$unsorted)) (=> (tptp.m2_finseq_1 B (tptp.u1_struct_0 A)) (=> (= (tptp.k3_finseq_1 B) tptp.np__0) (= (tptp.k9_rlvect_1 A B) (tptp.k1_rlvect_1 A))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.l1_rlvect_1 A)) (forall ((B $$unsorted)) (=> (tptp.m2_finseq_1 B (tptp.u1_struct_0 A)) (=> (= (tptp.k3_finseq_1 B) tptp.np__1) (= (tptp.k9_rlvect_1 A B) (tptp.k1_funct_1 B tptp.np__1))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.l1_rlvect_1 A)) (forall ((B $$unsorted)) (=> (tptp.m2_finseq_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (=> (and (= (tptp.k3_finseq_1 B) tptp.np__2) (= C (tptp.k1_funct_1 B tptp.np__1)) (= D (tptp.k1_funct_1 B tptp.np__2))) (= (tptp.k9_rlvect_1 A B) (tptp.k2_rlvect_1 A C D))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.l1_rlvect_1 A)) (forall ((B $$unsorted)) (=> (tptp.m2_finseq_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.u1_struct_0 A)) (=> (and (= (tptp.k3_finseq_1 B) tptp.np__3) (= C (tptp.k1_funct_1 B tptp.np__1)) (= D (tptp.k1_funct_1 B tptp.np__2)) (= E (tptp.k1_funct_1 B tptp.np__3))) (= (tptp.k9_rlvect_1 A B) (tptp.k2_rlvect_1 A (tptp.k2_rlvect_1 A C D) E))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l2_struct_0 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (= (tptp.v8_rlvect_1 B A) (not (= B (tptp.k1_rlvect_1 A)))))))) (forall ((A $$unsorted)) (=> (tptp.l1_rlvect_1 A) (tptp.l2_struct_0 A))) (exists ((A $$unsorted)) (tptp.l1_rlvect_1 A)) (forall ((A $$unsorted)) (=> (tptp.l2_rlvect_1 A) (tptp.l1_rlvect_1 A))) (exists ((A $$unsorted)) (tptp.l2_rlvect_1 A)) (forall ((A $$unsorted)) (=> (tptp.l1_rlvect_1 A) (=> (tptp.v1_rlvect_1 A) (= A (tptp.g1_rlvect_1 (tptp.u1_struct_0 A) (tptp.u1_rlvect_1 A) (tptp.u2_struct_0 A)))))) (forall ((A $$unsorted)) (=> (tptp.l2_rlvect_1 A) (=> (tptp.v2_rlvect_1 A) (= A (tptp.g2_rlvect_1 (tptp.u1_struct_0 A) (tptp.u2_struct_0 A) (tptp.u1_rlvect_1 A) (tptp.u2_rlvect_1 A)))))) (forall ((A $$unsorted)) (=> (tptp.l2_struct_0 A) (tptp.m1_subset_1 (tptp.k1_rlvect_1 A) (tptp.u1_struct_0 A)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_rlvect_1 A) (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (tptp.m1_subset_1 (tptp.k2_rlvect_1 A B C) _let_1)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l2_rlvect_1 A) (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C tptp.k1_numbers)) (tptp.m1_subset_1 (tptp.k3_rlvect_1 A B C) _let_1)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.l1_rlvect_1 A) (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (tptp.m1_subset_1 (tptp.k4_rlvect_1 A B C) _let_1)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.l1_rlvect_1 A) (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (= (tptp.k4_rlvect_1 A B C) (tptp.k4_rlvect_1 A C B))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.l1_rlvect_1 A) (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (= (tptp.k4_rlvect_1 A B C) (tptp.k2_rlvect_1 A B C))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_rlvect_1 A) (tptp.m1_subset_1 B _let_1)) (tptp.m1_subset_1 (tptp.k5_rlvect_1 A B) _let_1)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_rlvect_1 A) (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (tptp.m1_subset_1 (tptp.k6_rlvect_1 A B C) _let_1)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_struct_0 A) (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (tptp.m2_finseq_1 (tptp.k7_rlvect_1 A B C) _let_1)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_struct_0 A) (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (= (tptp.k7_rlvect_1 A B C) (tptp.k10_finseq_1 B C))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_struct_0 A) (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1) (tptp.m1_subset_1 D _let_1)) (tptp.m2_finseq_1 (tptp.k8_rlvect_1 A B C D) _let_1)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_struct_0 A) (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1) (tptp.m1_subset_1 D _let_1)) (= (tptp.k8_rlvect_1 A B C D) (tptp.k11_finseq_1 B C D))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_rlvect_1 A) (tptp.m1_finseq_1 B _let_1)) (tptp.m1_subset_1 (tptp.k9_rlvect_1 A B) _let_1)))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.k2_zfmisc_1 _let_1 _let_1))) (let ((_let_3 (tptp.u1_rlvect_1 A))) (=> (tptp.l1_rlvect_1 A) (and (tptp.v1_funct_1 _let_3) (tptp.v1_funct_2 _let_3 _let_2 _let_1) (tptp.m2_relset_1 _let_3 _let_2 _let_1))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.k2_zfmisc_1 tptp.k1_numbers _let_1))) (let ((_let_3 (tptp.u2_rlvect_1 A))) (=> (tptp.l2_rlvect_1 A) (and (tptp.v1_funct_1 _let_3) (tptp.v1_funct_2 _let_3 _let_2 _let_1) (tptp.m2_relset_1 _let_3 _let_2 _let_1))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.g1_rlvect_1 A B C))) (let ((_let_2 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_2 A) (tptp.m1_relset_1 B _let_2 A) (tptp.m1_subset_1 C A)) (and (tptp.v1_rlvect_1 _let_1) (tptp.l1_rlvect_1 _let_1)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_1 A) (tptp.m1_relset_1 B _let_1 A) (tptp.m1_subset_1 C A)) (forall ((D $$unsorted) (E $$unsorted) (F $$unsorted)) (=> (= (tptp.g1_rlvect_1 A B C) (tptp.g1_rlvect_1 D E F)) (and (= A D) (= B E) (= C F))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.g2_rlvect_1 A B C D))) (let ((_let_2 (tptp.k2_zfmisc_1 tptp.k1_numbers A))) (let ((_let_3 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.m1_subset_1 B A) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_3 A) (tptp.m1_relset_1 C _let_3 A) (tptp.v1_funct_1 D) (tptp.v1_funct_2 D _let_2 A) (tptp.m1_relset_1 D _let_2 A)) (and (tptp.v2_rlvect_1 _let_1) (tptp.l2_rlvect_1 _let_1))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 tptp.k1_numbers A))) (let ((_let_2 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.m1_subset_1 B A) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 A) (tptp.m1_relset_1 C _let_2 A) (tptp.v1_funct_1 D) (tptp.v1_funct_2 D _let_1 A) (tptp.m1_relset_1 D _let_1 A)) (forall ((E $$unsorted) (F $$unsorted) (G $$unsorted) (H $$unsorted)) (=> (= (tptp.g2_rlvect_1 A B C D) (tptp.g2_rlvect_1 E F G H)) (and (= A E) (= B F) (= C G) (= D H)))))))) (exists ((A $$unsorted)) (and (tptp.l1_group_1 A) (tptp.v1_group_1 A))) (exists ((A $$unsorted)) (and (tptp.l1_group_1 A) (not (tptp.v3_struct_0 A)) (tptp.v1_group_1 A))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.g1_group_1 A B))) (let ((_let_2 (tptp.k2_zfmisc_1 A A))) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_2 A) (tptp.m1_relset_1 B _let_2 A)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v1_group_1 _let_1)))))) (forall ((A $$unsorted)) (let ((_let_1 (not (tptp.v3_struct_0 A)))) (=> (tptp.l1_group_1 A) (=> (and _let_1 (tptp.v3_group_1 A)) (and _let_1 (tptp.v2_group_1 A)))))) (exists ((A $$unsorted)) (and (tptp.l1_group_1 A) (not (tptp.v3_struct_0 A)) (tptp.v1_group_1 A) (tptp.v2_group_1 A) (tptp.v3_group_1 A) (tptp.v4_group_1 A))) (exists ((A $$unsorted)) (and (tptp.l1_group_1 A) (not (tptp.v3_struct_0 A)) (tptp.v1_group_1 A) (tptp.v2_group_1 A) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.v7_group_1 A))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.g1_rlvect_1 A B C))) (let ((_let_2 (tptp.k2_zfmisc_1 A A))) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_2 A) (tptp.m1_relset_1 B _let_2 A) (tptp.m1_subset_1 C A)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v1_rlvect_1 _let_1)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 C _let_1) (= (tptp.k1_group_1 A B C) (tptp.k2_binop_1 _let_1 _let_1 _let_1 (tptp.u1_group_1 A) B C))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_group_1 A)) (= (tptp.v2_group_1 A) (exists ((B $$unsorted)) (and (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (and (= (tptp.k1_group_1 A C B) C) (= (tptp.k1_group_1 A B C) C))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_group_1 A)) (= (tptp.v3_group_1 A) (exists ((B $$unsorted)) (and (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (and (= (tptp.k1_group_1 A C B) C) (= (tptp.k1_group_1 A B C) C) (exists ((D $$unsorted)) (and (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (= (tptp.k1_group_1 A C D) B) (= (tptp.k1_group_1 A D C) B))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_group_1 A)) (= (tptp.v4_group_1 A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (= (tptp.k1_group_1 A (tptp.k1_group_1 A B C) D) (tptp.k1_group_1 A B (tptp.k1_group_1 A C D)))))))))))) true true true true (forall ((A $$unsorted)) (let ((_let_1 (tptp.l1_group_1 A))) (let ((_let_2 (not (tptp.v3_struct_0 A)))) (=> (and _let_2 _let_1) (=> (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (= (tptp.k1_group_1 A (tptp.k1_group_1 A B C) D) (tptp.k1_group_1 A B (tptp.k1_group_1 A C D))))))))) (or (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (not (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (and (= (tptp.k1_group_1 A C B) C) (= (tptp.k1_group_1 A B C) C) (exists ((D $$unsorted)) (and (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (= (tptp.k1_group_1 A C D) B) (= (tptp.k1_group_1 A D C) B))))))))) (and _let_2 (tptp.v3_group_1 A) (tptp.v4_group_1 A) _let_1))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_group_1 A)) (=> (and (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (= (tptp.k1_group_1 A (tptp.k1_group_1 A B C) D) (tptp.k1_group_1 A B (tptp.k1_group_1 A C D))))))))) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (and (exists ((D $$unsorted)) (and (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (= (tptp.k1_group_1 A B D) C))) (exists ((D $$unsorted)) (and (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (= (tptp.k1_group_1 A D B) C))))))))) (and (tptp.v4_group_1 A) (tptp.v3_group_1 A))))) (and _let_14 _let_15) (forall ((A $$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 $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (tptp.k1_group_1 A B C) (tptp.k1_group_1 A C B))))))))) true (and (not (tptp.v3_struct_0 _let_13)) _let_15 _let_14 (tptp.v7_group_1 _let_13) (tptp.l1_group_1 _let_13)) true (forall ((A $$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 $$unsorted)) (=> (= (tptp.g1_group_1 A B) (tptp.g1_group_1 C D)) (and (= A C) (= B D))))))) (and _let_12 _let_6) (and _let_12 _let_6 (tptp.v3_rlvect_1 tptp.k1_vectsp_1) (tptp.v4_rlvect_1 tptp.k1_vectsp_1) (tptp.v5_rlvect_1 tptp.k1_vectsp_1) (tptp.v6_rlvect_1 tptp.k1_vectsp_1)) (exists ((A $$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_11 _let_5) (and _let_11 _let_10 _let_5) (and _let_11 (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_10 (tptp.v4_group_1 tptp.k3_vectsp_1) (tptp.v7_group_1 tptp.k3_vectsp_1) _let_5 (tptp.v6_vectsp_1 tptp.k3_vectsp_1) (tptp.v7_vectsp_1 tptp.k3_vectsp_1) (tptp.v8_vectsp_1 tptp.k3_vectsp_1) (tptp.v9_vectsp_1 tptp.k3_vectsp_1) (not (tptp.v10_vectsp_1 tptp.k3_vectsp_1))) (forall ((A $$unsorted)) (let ((_let_1 (not (tptp.v3_struct_0 A)))) (=> (tptp.l3_vectsp_1 A) (=> (and _let_1 (tptp.v7_vectsp_1 A)) (and _let_1 (tptp.v4_vectsp_1 A) (tptp.v5_vectsp_1 A)))))) (forall ((A $$unsorted)) (let ((_let_1 (not (tptp.v3_struct_0 A)))) (=> (tptp.l3_vectsp_1 A) (=> (and _let_1 (tptp.v4_vectsp_1 A) (tptp.v5_vectsp_1 A)) (and _let_1 (tptp.v7_vectsp_1 A)))))) (forall ((A $$unsorted)) (let ((_let_1 (not (tptp.v3_struct_0 A)))) (=> (tptp.l1_vectsp_1 A) (=> (and _let_1 (tptp.v2_group_1 A)) (and _let_1 (tptp.v6_vectsp_1 A) (tptp.v8_vectsp_1 A)))))) (forall ((A $$unsorted)) (let ((_let_1 (not (tptp.v3_struct_0 A)))) (=> (tptp.l1_vectsp_1 A) (=> (and _let_1 (tptp.v6_vectsp_1 A) (tptp.v8_vectsp_1 A)) (and _let_1 (tptp.v2_group_1 A)))))) (exists ((A $$unsorted)) (and (tptp.l1_group_1 A) (not (tptp.v3_struct_0 A)) (tptp.v4_group_1 A) (tptp.v7_group_1 A))) (exists ((A $$unsorted)) (and (tptp.l1_vectsp_1 A) (not (tptp.v3_struct_0 A)) (tptp.v2_group_1 A) (tptp.v4_group_1 A) (tptp.v7_group_1 A) (tptp.v6_vectsp_1 A) (tptp.v8_vectsp_1 A))) (exists ((A $$unsorted)) (and (tptp.l3_vectsp_1 A) (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v2_group_1 A) (tptp.v4_group_1 A) (tptp.v7_group_1 A) (tptp.v3_vectsp_1 A) (tptp.v4_vectsp_1 A) (tptp.v5_vectsp_1 A) (tptp.v6_vectsp_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.v9_vectsp_1 A) (not (tptp.v10_vectsp_1 A)))) (forall ((A $$unsorted)) (=> (tptp.l1_struct_0 A) (exists ((B $$unsorted)) (and (tptp.l4_vectsp_1 B A) (tptp.v11_vectsp_1 B A))))) (forall ((A $$unsorted)) (=> (tptp.l1_struct_0 A) (exists ((B $$unsorted)) (and (tptp.l4_vectsp_1 B A) (not (tptp.v3_struct_0 B)) (tptp.v11_vectsp_1 B A))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (let ((_let_1 (tptp.g4_vectsp_1 A B C D E))) (let ((_let_2 (tptp.k2_zfmisc_1 (tptp.u1_struct_0 A) B))) (let ((_let_3 (tptp.k2_zfmisc_1 B B))) (=> (and (tptp.l1_struct_0 A) (not (tptp.v1_xboole_0 B)) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_3 B) (tptp.m1_relset_1 C _let_3 B) (tptp.m1_subset_1 D B) (tptp.v1_funct_1 E) (tptp.v1_funct_2 E _let_2 B) (tptp.m1_relset_1 E _let_2 B)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v11_vectsp_1 _let_1 A))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A)) (exists ((B $$unsorted)) (and (tptp.l4_vectsp_1 B A) (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v11_vectsp_1 B A) (tptp.v12_vectsp_1 B A))))) (forall ((A $$unsorted)) (let ((_let_1 (not (tptp.v3_struct_0 A)))) (=> (tptp.l1_vectsp_1 A) (=> (and _let_1 (tptp.v7_group_1 A) (tptp.v8_vectsp_1 A)) (and _let_1 (tptp.v6_vectsp_1 A)))))) (exists ((A $$unsorted)) (and (tptp.l1_rlvect_1 A) (not (tptp.v3_struct_0 A)) (tptp.v13_vectsp_1 A))) (exists ((A $$unsorted)) (and (tptp.l3_vectsp_1 A) (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v2_group_1 A) (tptp.v4_group_1 A) (tptp.v7_group_1 A) (tptp.v3_vectsp_1 A) (tptp.v4_vectsp_1 A) (tptp.v5_vectsp_1 A) (tptp.v6_vectsp_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.v9_vectsp_1 A) (not (tptp.v10_vectsp_1 A)) (tptp.v13_vectsp_1 A))) true true true true true _let_9 true true true true true (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A (tptp.u1_struct_0 tptp.k1_vectsp_1)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 tptp.k1_vectsp_1)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k1_rlvect_1 tptp.k1_vectsp_1))) (let ((_let_2 (tptp.k4_rlvect_1 tptp.k1_vectsp_1 A B))) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 tptp.k1_vectsp_1)) (and (= _let_2 (tptp.k4_rlvect_1 tptp.k1_vectsp_1 B A)) (= (tptp.k4_rlvect_1 tptp.k1_vectsp_1 _let_2 C) (tptp.k4_rlvect_1 tptp.k1_vectsp_1 A (tptp.k4_rlvect_1 tptp.k1_vectsp_1 B C))) (= (tptp.k4_rlvect_1 tptp.k1_vectsp_1 A _let_1) A) (= (tptp.k4_rlvect_1 tptp.k1_vectsp_1 A (tptp.k5_rlvect_1 tptp.k1_vectsp_1 A)) _let_1)))))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.l1_rlvect_1 A))) (let ((_let_2 (not (tptp.v3_struct_0 A)))) (=> (and _let_2 _let_1) (= (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k2_rlvect_1 A B C))) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (and (= _let_1 (tptp.k2_rlvect_1 A C B)) (= (tptp.k2_rlvect_1 A _let_1 D) (tptp.k2_rlvect_1 A B (tptp.k2_rlvect_1 A C D))) (= (tptp.k2_rlvect_1 A B (tptp.k1_rlvect_1 A)) B) (exists ((E $$unsorted)) (and (tptp.m1_subset_1 E (tptp.u1_struct_0 A)) (= (tptp.k2_rlvect_1 A B E) (tptp.k1_rlvect_1 A)))))))))))) (and _let_2 (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) _let_1)))))) true true (forall ((A $$unsorted)) (=> (tptp.l1_vectsp_1 A) (= (tptp.k2_vectsp_1 A) (tptp.u1_vectsp_1 A)))) true (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l3_vectsp_1 A)) (= (tptp.v4_vectsp_1 A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (= (tptp.k1_group_1 A B (tptp.k2_rlvect_1 A C D)) (tptp.k2_rlvect_1 A (tptp.k1_group_1 A B C) (tptp.k1_group_1 A B D)))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l3_vectsp_1 A)) (= (tptp.v5_vectsp_1 A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (= (tptp.k1_group_1 A (tptp.k2_rlvect_1 A C D) B) (tptp.k2_rlvect_1 A (tptp.k1_group_1 A C B) (tptp.k1_group_1 A D B)))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_vectsp_1 A)) (= (tptp.v6_vectsp_1 A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (= (tptp.k1_group_1 A B (tptp.k2_group_1 A)) B)))))) true _let_8 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_7 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_7 _let_7) (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_6 (tptp.l1_rlvect_1 tptp.k1_vectsp_1)) (forall ((A $$unsorted)) (=> (tptp.l1_vectsp_1 A) (tptp.m1_subset_1 (tptp.k2_vectsp_1 A) (tptp.u1_struct_0 A)))) (and _let_5 (tptp.l3_vectsp_1 tptp.k3_vectsp_1)) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_group_1 A) (tptp.v7_group_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.v9_vectsp_1 A) (tptp.l3_vectsp_1 A) (tptp.m1_subset_1 B _let_1)) (tptp.m1_subset_1 (tptp.k4_vectsp_1 A B) _let_1)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_group_1 A) (tptp.v7_group_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.v9_vectsp_1 A) (tptp.l3_vectsp_1 A) (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (tptp.m1_subset_1 (tptp.k5_vectsp_1 A B C) _let_1)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_struct_0 A) (not (tptp.v3_struct_0 B)) (tptp.l4_vectsp_1 B A) (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (tptp.m1_subset_1 D _let_1)) (tptp.m1_subset_1 (tptp.k6_vectsp_1 A B C D) _let_1)))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.k7_vectsp_1 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_rlvect_1 A)) (and (tptp.v1_funct_1 _let_2) (tptp.v1_funct_2 _let_2 _let_1 _let_1) (tptp.m2_relset_1 _let_2 _let_1 _let_1)))))) (forall ((A $$unsorted)) (=> (tptp.l1_vectsp_1 A) (tptp.m1_subset_1 (tptp.u1_vectsp_1 A) (tptp.u1_struct_0 A)))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.k2_zfmisc_1 (tptp.u1_struct_0 A) _let_1))) (let ((_let_3 (tptp.u2_vectsp_1 A B))) (=> (and (tptp.l1_struct_0 A) (tptp.l4_vectsp_1 B A)) (and (tptp.v1_funct_1 _let_3) (tptp.v1_funct_2 _let_3 _let_2 _let_1) (tptp.m2_relset_1 _let_3 _let_2 _let_1))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.g1_vectsp_1 A B C))) (let ((_let_2 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_2 A) (tptp.m1_relset_1 B _let_2 A) (tptp.m1_subset_1 C A)) (and (tptp.v1_vectsp_1 _let_1) (tptp.l1_vectsp_1 _let_1)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_1 A) (tptp.m1_relset_1 B _let_1 A) (tptp.m1_subset_1 C A)) (forall ((D $$unsorted) (E $$unsorted) (F $$unsorted)) (=> (= (tptp.g1_vectsp_1 A B C) (tptp.g1_vectsp_1 D E F)) (and (= A D) (= B E) (= C F))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.g2_vectsp_1 A B C D))) (let ((_let_2 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_2 A) (tptp.m1_relset_1 B _let_2 A) (tptp.m1_subset_1 C A) (tptp.m1_subset_1 D A)) (and (tptp.v2_vectsp_1 _let_1) (tptp.l2_vectsp_1 _let_1)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_1 A) (tptp.m1_relset_1 B _let_1 A) (tptp.m1_subset_1 C A) (tptp.m1_subset_1 D A)) (forall ((E $$unsorted) (F $$unsorted) (G $$unsorted) (H $$unsorted)) (=> (= (tptp.g2_vectsp_1 A B C D) (tptp.g2_vectsp_1 E F G H)) (and (= A E) (= B F) (= C G) (= D H))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (let ((_let_1 (tptp.g3_vectsp_1 A B C D E))) (let ((_let_2 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_2 A) (tptp.m1_relset_1 B _let_2 A) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 A) (tptp.m1_relset_1 C _let_2 A) (tptp.m1_subset_1 D A) (tptp.m1_subset_1 E A)) (and (tptp.v3_vectsp_1 _let_1) (tptp.l3_vectsp_1 _let_1)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_1 A) (tptp.m1_relset_1 B _let_1 A) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_1 A) (tptp.m1_relset_1 C _let_1 A) (tptp.m1_subset_1 D A) (tptp.m1_subset_1 E A)) (forall ((F $$unsorted) (G $$unsorted) (H $$unsorted) (I $$unsorted) (J $$unsorted)) (=> (= (tptp.g3_vectsp_1 A B C D E) (tptp.g3_vectsp_1 F G H I J)) (and (= A F) (= B G) (= C H) (= D I) (= E J))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (let ((_let_1 (tptp.g4_vectsp_1 A B C D E))) (let ((_let_2 (tptp.k2_zfmisc_1 (tptp.u1_struct_0 A) B))) (let ((_let_3 (tptp.k2_zfmisc_1 B B))) (=> (and (tptp.l1_struct_0 A) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_3 B) (tptp.m1_relset_1 C _let_3 B) (tptp.m1_subset_1 D B) (tptp.v1_funct_1 E) (tptp.v1_funct_2 E _let_2 B) (tptp.m1_relset_1 E _let_2 B)) (and (tptp.v11_vectsp_1 _let_1 A) (tptp.l4_vectsp_1 _let_1 A))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 (tptp.u1_struct_0 A) B))) (let ((_let_2 (tptp.k2_zfmisc_1 B B))) (=> (and (tptp.l1_struct_0 A) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 B) (tptp.m1_relset_1 C _let_2 B) (tptp.m1_subset_1 D B) (tptp.v1_funct_1 E) (tptp.v1_funct_2 E _let_1 B) (tptp.m1_relset_1 E _let_1 B)) (forall ((F $$unsorted) (G $$unsorted) (H $$unsorted) (I $$unsorted) (J $$unsorted)) (=> (= (tptp.g4_vectsp_1 A B C D E) (tptp.g4_vectsp_1 F G H I J)) (and (= A F) (= B G) (= C H) (= D I) (= E J)))))))) (exists ((A $$unsorted)) (and (tptp.l1_rlvect_1 A) (not (tptp.v3_struct_0 A)) (tptp.v1_rlvect_1 A) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v1_realset2 A) (tptp.v2_realset2 A))) (exists ((A $$unsorted)) (and (tptp.l1_struct_0 A) (tptp.v3_realset2 A))) (exists ((A $$unsorted)) (and (tptp.l3_vectsp_1 A) (tptp.v3_vectsp_1 A) (not (tptp.v3_realset2 A)))) (exists ((A $$unsorted)) (and (tptp.l3_vectsp_1 A) (tptp.v3_vectsp_1 A) (tptp.v4_realset2 A))) (forall ((A $$unsorted)) (=> (tptp.l1_rlvect_1 A) (= (tptp.v1_realset2 A) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u2_struct_0 A))) (let ((_let_2 (tptp.u1_rlvect_1 A))) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (and (= (tptp.k1_binop_1 _let_2 B _let_1) B) (= (tptp.k1_binop_1 _let_2 _let_1 B) B))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_rlvect_1 A) (= (tptp.v2_realset2 A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (exists ((C $$unsorted)) (let ((_let_1 (tptp.u2_struct_0 A))) (let ((_let_2 (tptp.u1_rlvect_1 A))) (and (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (tptp.k1_binop_1 _let_2 B C) _let_1) (= (tptp.k1_binop_1 _let_2 C B) _let_1)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_rlvect_1 A)) (= (tptp.v4_rlvect_1 A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_rlvect_1 A))) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (= (tptp.k1_binop_1 _let_1 (tptp.k1_binop_1 _let_1 B C) D) (tptp.k1_binop_1 _let_1 B (tptp.k1_binop_1 _let_1 C D))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_rlvect_1 A)) (= (tptp.v3_rlvect_1 A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_rlvect_1 A))) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (tptp.k1_binop_1 _let_1 B C) (tptp.k1_binop_1 _let_1 C B)))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_struct_0 A) (= (tptp.v3_realset2 A) (tptp.v1_realset1 (tptp.u1_struct_0 A))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_realset1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_1 A) (tptp.m2_relset_1 B _let_1 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_1 A) (tptp.m2_relset_1 C _let_1 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D A) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.k4_xboole_0 A (tptp.k5_realset1 A D))) (forall ((F $$unsorted)) (=> (and (tptp.v3_vectsp_1 F) (not (tptp.v3_realset2 F)) (tptp.l3_vectsp_1 F)) (= (= F (tptp.k1_realset2 A B C D E)) (and (= A (tptp.u1_struct_0 F)) (= B (tptp.u1_rlvect_1 F)) (= C (tptp.u1_group_1 F)) (= D (tptp.u2_struct_0 F)) (= E (tptp.u1_vectsp_1 F)))))))))))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_struct_0 A) (= (tptp.v3_realset2 A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= B C)))))))) (forall ((A $$unsorted)) (=> (tptp.l3_vectsp_1 A) (= (tptp.v4_realset2 A) (exists ((B $$unsorted)) (and (not (tptp.v1_realset1 B)) (exists ((C $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 B B))) (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_1 B) (tptp.m2_relset_1 C _let_1 B) (exists ((D $$unsorted)) (and (tptp.m1_subset_1 D B) (exists ((E $$unsorted)) (and (tptp.m3_realset1 E B D) (exists ((F $$unsorted)) (let ((_let_1 (tptp.g1_rlvect_1 B C D))) (and (tptp.m1_subset_1 F (tptp.k4_xboole_0 B (tptp.k5_realset1 B D))) (= A (tptp.k1_realset2 B C E D F)) (not (tptp.v3_struct_0 _let_1)) (tptp.v3_rlvect_1 _let_1) (tptp.v4_rlvect_1 _let_1) (tptp.v1_realset2 _let_1) (tptp.v2_realset2 _let_1) (tptp.l1_rlvect_1 _let_1) (forall ((G $$unsorted)) (=> (not (tptp.v1_xboole_0 G)) (forall ((H $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 G G))) (=> (and (tptp.v1_funct_1 H) (tptp.v1_funct_2 H _let_1 G) (tptp.m2_relset_1 H _let_1 G)) (forall ((I $$unsorted)) (let ((_let_1 (tptp.g1_rlvect_1 G H I))) (=> (tptp.m1_subset_1 I G) (=> (and (= G (tptp.k4_xboole_0 B (tptp.k5_realset1 B D))) (= I F) (= H (tptp.k4_realset1 B D E))) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v3_rlvect_1 _let_1) (tptp.v4_rlvect_1 _let_1) (tptp.v1_realset2 _let_1) (tptp.v2_realset2 _let_1) (tptp.l1_rlvect_1 _let_1))))))))))) (forall ((G $$unsorted)) (=> (tptp.m1_subset_1 G B) (forall ((H $$unsorted)) (=> (tptp.m1_subset_1 H B) (forall ((I $$unsorted)) (let ((_let_1 (tptp.k4_tarski H I))) (let ((_let_2 (tptp.k1_funct_1 E (tptp.k4_tarski G I)))) (let ((_let_3 (tptp.k4_tarski G H))) (=> (tptp.m1_subset_1 I B) (and (= (tptp.k1_funct_1 E (tptp.k4_tarski G (tptp.k1_funct_1 C _let_1))) (tptp.k1_funct_1 C (tptp.k4_tarski (tptp.k1_funct_1 E _let_3) _let_2))) (= (tptp.k1_funct_1 E (tptp.k4_tarski (tptp.k1_funct_1 C _let_3) I)) (tptp.k1_funct_1 C (tptp.k4_tarski _let_2 (tptp.k1_funct_1 E _let_1))))))))))))))))))))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v4_realset2 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (not (tptp.v1_realset1 B)) (= (= B (tptp.k2_realset2 A)) (exists ((C $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 B B))) (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_1 B) (tptp.m2_relset_1 C _let_1 B) (exists ((D $$unsorted)) (and (tptp.m1_subset_1 D B) (exists ((E $$unsorted)) (and (tptp.m3_realset1 E B D) (exists ((F $$unsorted)) (and (tptp.m1_subset_1 F (tptp.k4_xboole_0 B (tptp.k5_realset1 B D))) (= A (tptp.k1_realset2 B C E D F)))))))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v4_realset2 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k2_realset2 A))) (let ((_let_2 (tptp.k2_zfmisc_1 _let_1 _let_1))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_2 _let_1) (tptp.m2_relset_1 B _let_2 _let_1)) (= (= B (tptp.k3_realset2 A)) (exists ((C $$unsorted)) (and (tptp.m1_subset_1 C (tptp.k2_realset2 A)) (exists ((D $$unsorted)) (and (tptp.m3_realset1 D (tptp.k2_realset2 A) C) (exists ((E $$unsorted)) (let ((_let_1 (tptp.k2_realset2 A))) (and (tptp.m1_subset_1 E (tptp.k4_xboole_0 _let_1 (tptp.k5_realset1 _let_1 C))) (= A (tptp.k1_realset2 _let_1 B D C E)))))))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v4_realset2 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k2_realset2 A)) (= (= B (tptp.k4_realset2 A)) (exists ((C $$unsorted)) (and (tptp.m3_realset1 C (tptp.k2_realset2 A) B) (exists ((D $$unsorted)) (let ((_let_1 (tptp.k2_realset2 A))) (and (tptp.m1_subset_1 D (tptp.k4_xboole_0 _let_1 (tptp.k5_realset1 _let_1 B))) (= A (tptp.k1_realset2 _let_1 (tptp.k3_realset2 A) C B D)))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v4_realset2 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (tptp.m3_realset1 B (tptp.k2_realset2 A) (tptp.k4_realset2 A)) (= (= B (tptp.k5_realset2 A)) (exists ((C $$unsorted)) (let ((_let_1 (tptp.k4_realset2 A))) (let ((_let_2 (tptp.k2_realset2 A))) (and (tptp.m1_subset_1 C (tptp.k4_xboole_0 _let_2 (tptp.k5_realset1 _let_2 _let_1))) (= A (tptp.k1_realset2 _let_2 (tptp.k3_realset2 A) B _let_1 C))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v4_realset2 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k4_realset2 A))) (let ((_let_2 (tptp.k2_realset2 A))) (=> (tptp.m1_subset_1 B (tptp.k4_xboole_0 _let_2 (tptp.k5_realset1 _let_2 _let_1))) (= (= B (tptp.k6_realset2 A)) (= A (tptp.k1_realset2 _let_2 (tptp.k3_realset2 A) (tptp.k5_realset2 A) _let_1 B))))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.g1_rlvect_1 (tptp.k2_realset2 A) (tptp.k3_realset2 A) (tptp.k4_realset2 A)))) (=> (and (tptp.v4_realset2 A) (tptp.l3_vectsp_1 A)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v3_rlvect_1 _let_1) (tptp.v4_rlvect_1 _let_1) (tptp.v1_realset2 _let_1) (tptp.v2_realset2 _let_1) (tptp.l1_rlvect_1 _let_1))))) (forall ((A $$unsorted)) (=> (and (tptp.v4_realset2 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 B B))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_1 B) (tptp.m2_relset_1 C _let_1 B)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.g1_rlvect_1 B C D))) (let ((_let_2 (tptp.k4_realset2 A))) (let ((_let_3 (tptp.k2_realset2 A))) (=> (tptp.m1_subset_1 D B) (=> (and (= B (tptp.k4_xboole_0 _let_3 (tptp.k5_realset1 _let_3 _let_2))) (= D (tptp.k6_realset2 A)) (= C (tptp.k4_realset1 _let_3 _let_2 (tptp.k5_realset2 A)))) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v3_rlvect_1 _let_1) (tptp.v4_rlvect_1 _let_1) (tptp.v1_realset2 _let_1) (tptp.v2_realset2 _let_1) (tptp.l1_rlvect_1 _let_1))))))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v4_realset2 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k2_realset2 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k2_realset2 A)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k4_tarski C D))) (let ((_let_2 (tptp.k5_realset2 A))) (let ((_let_3 (tptp.k1_funct_1 _let_2 (tptp.k4_tarski B D)))) (let ((_let_4 (tptp.k3_realset2 A))) (let ((_let_5 (tptp.k4_tarski B C))) (=> (tptp.m1_subset_1 D (tptp.k2_realset2 A)) (and (= (tptp.k1_funct_1 _let_2 (tptp.k4_tarski B (tptp.k1_funct_1 _let_4 _let_1))) (tptp.k1_funct_1 _let_4 (tptp.k4_tarski (tptp.k1_funct_1 _let_2 _let_5) _let_3))) (= (tptp.k1_funct_1 _let_2 (tptp.k4_tarski (tptp.k1_funct_1 _let_4 _let_5) D)) (tptp.k1_funct_1 _let_4 (tptp.k4_tarski _let_3 (tptp.k1_funct_1 _let_2 _let_1)))))))))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v4_realset2 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k2_realset2 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k2_realset2 A)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k3_realset2 A))) (let ((_let_2 (tptp.k2_realset2 A))) (=> (tptp.m1_subset_1 D _let_2) (= (tptp.k2_binop_1 _let_2 _let_2 _let_2 _let_1 (tptp.k2_binop_1 _let_2 _let_2 _let_2 _let_1 B C) D) (tptp.k2_binop_1 _let_2 _let_2 _let_2 _let_1 B (tptp.k2_binop_1 _let_2 _let_2 _let_2 _let_1 C D))))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v4_realset2 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k2_realset2 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k3_realset2 A))) (let ((_let_2 (tptp.k2_realset2 A))) (=> (tptp.m1_subset_1 C _let_2) (= (tptp.k2_binop_1 _let_2 _let_2 _let_2 _let_1 B C) (tptp.k2_binop_1 _let_2 _let_2 _let_2 _let_1 C B)))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v4_realset2 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k4_realset2 A))) (let ((_let_2 (tptp.k3_realset2 A))) (let ((_let_3 (tptp.k2_realset2 A))) (=> (tptp.m1_subset_1 B _let_3) (and (= (tptp.k2_binop_1 _let_3 _let_3 _let_3 _let_2 B _let_1) B) (= (tptp.k2_binop_1 _let_3 _let_3 _let_3 _let_2 _let_1 B) B))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v4_realset2 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k2_realset2 A)) (exists ((C $$unsorted)) (let ((_let_1 (tptp.k4_realset2 A))) (let ((_let_2 (tptp.k3_realset2 A))) (let ((_let_3 (tptp.k2_realset2 A))) (and (tptp.m1_subset_1 C _let_3) (= (tptp.k2_binop_1 _let_3 _let_3 _let_3 _let_2 B C) _let_1) (= (tptp.k2_binop_1 _let_3 _let_3 _let_3 _let_2 C B) _let_1)))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v4_realset2 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k2_realset2 A))) (=> (tptp.m1_subset_1 B (tptp.k4_xboole_0 _let_1 (tptp.k5_realset1 _let_1 (tptp.k4_realset2 A)))) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k2_realset2 A))) (=> (tptp.m1_subset_1 C (tptp.k4_xboole_0 _let_1 (tptp.k5_realset1 _let_1 (tptp.k4_realset2 A)))) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k5_realset2 A))) (let ((_let_2 (tptp.k2_realset2 A))) (=> (tptp.m1_subset_1 D (tptp.k4_xboole_0 _let_2 (tptp.k5_realset1 _let_2 (tptp.k4_realset2 A)))) (= (tptp.k1_funct_1 _let_1 (tptp.k4_tarski (tptp.k1_funct_1 _let_1 (tptp.k4_tarski B C)) D)) (tptp.k1_funct_1 _let_1 (tptp.k4_tarski B (tptp.k1_funct_1 _let_1 (tptp.k4_tarski C D))))))))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v4_realset2 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k2_realset2 A))) (=> (tptp.m1_subset_1 B (tptp.k4_xboole_0 _let_1 (tptp.k5_realset1 _let_1 (tptp.k4_realset2 A)))) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k5_realset2 A))) (let ((_let_2 (tptp.k2_realset2 A))) (=> (tptp.m1_subset_1 C (tptp.k4_xboole_0 _let_2 (tptp.k5_realset1 _let_2 (tptp.k4_realset2 A)))) (= (tptp.k1_funct_1 _let_1 (tptp.k4_tarski B C)) (tptp.k1_funct_1 _let_1 (tptp.k4_tarski C B)))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v4_realset2 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k6_realset2 A))) (let ((_let_2 (tptp.k5_realset2 A))) (let ((_let_3 (tptp.k2_realset2 A))) (=> (tptp.m1_subset_1 B (tptp.k4_xboole_0 _let_3 (tptp.k5_realset1 _let_3 (tptp.k4_realset2 A)))) (and (= (tptp.k1_funct_1 _let_2 (tptp.k4_tarski B _let_1)) B) (= (tptp.k1_funct_1 _let_2 (tptp.k4_tarski _let_1 B)) B))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v4_realset2 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k2_realset2 A))) (=> (tptp.m1_subset_1 B (tptp.k4_xboole_0 _let_1 (tptp.k5_realset1 _let_1 (tptp.k4_realset2 A)))) (exists ((C $$unsorted)) (let ((_let_1 (tptp.k6_realset2 A))) (let ((_let_2 (tptp.k5_realset2 A))) (let ((_let_3 (tptp.k2_realset2 A))) (and (tptp.m1_subset_1 C (tptp.k4_xboole_0 _let_3 (tptp.k5_realset1 _let_3 (tptp.k4_realset2 A)))) (= (tptp.k1_funct_1 _let_2 (tptp.k4_tarski B C)) _let_1) (= (tptp.k1_funct_1 _let_2 (tptp.k4_tarski C B)) _let_1))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v4_realset2 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k2_realset2 A))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_1 _let_1) (tptp.m2_relset_1 B _let_1 _let_1)) (= (= B (tptp.k7_realset2 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k2_realset2 A))) (=> (tptp.m1_subset_1 C _let_1) (= (tptp.k1_funct_1 (tptp.k3_realset2 A) (tptp.k4_tarski C (tptp.k8_funct_2 _let_1 _let_1 B C))) (tptp.k4_realset2 A))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v4_realset2 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k2_realset2 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k2_realset2 A))) (=> (tptp.m1_subset_1 C _let_1) (=> (= (tptp.k2_binop_1 _let_1 _let_1 _let_1 (tptp.k3_realset2 A) B C) (tptp.k4_realset2 A)) (= C (tptp.k8_funct_2 _let_1 _let_1 (tptp.k7_realset2 A) B)))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v4_realset2 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k7_realset2 A))) (let ((_let_2 (tptp.k2_realset2 A))) (=> (tptp.m1_subset_1 B _let_2) (= B (tptp.k8_funct_2 _let_2 _let_2 _let_1 (tptp.k8_funct_2 _let_2 _let_2 _let_1 B))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v4_realset2 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k2_realset2 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k2_realset2 A))) (let ((_let_2 (tptp.k4_tarski B C))) (=> (tptp.m1_subset_1 C _let_1) (and (tptp.m1_subset_1 (tptp.k1_funct_1 (tptp.k3_realset2 A) _let_2) _let_1) (tptp.m1_subset_1 (tptp.k1_funct_1 (tptp.k5_realset2 A) _let_2) _let_1) (tptp.m1_subset_1 (tptp.k8_funct_2 _let_1 _let_1 (tptp.k7_realset2 A) B) _let_1)))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v4_realset2 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k2_realset2 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k2_realset2 A)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k5_realset2 A))) (let ((_let_2 (tptp.k7_realset2 A))) (let ((_let_3 (tptp.k3_realset2 A))) (let ((_let_4 (tptp.k2_realset2 A))) (=> (tptp.m1_subset_1 D _let_4) (= (tptp.k1_funct_1 _let_1 (tptp.k4_tarski B (tptp.k1_funct_1 _let_3 (tptp.k4_tarski C (tptp.k8_funct_2 _let_4 _let_4 _let_2 D))))) (tptp.k1_funct_1 _let_3 (tptp.k4_tarski (tptp.k1_funct_1 _let_1 (tptp.k4_tarski B C)) (tptp.k1_funct_1 _let_2 (tptp.k1_funct_1 _let_1 (tptp.k4_tarski B D)))))))))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v4_realset2 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k2_realset2 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k2_realset2 A)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k5_realset2 A))) (let ((_let_2 (tptp.k7_realset2 A))) (let ((_let_3 (tptp.k3_realset2 A))) (let ((_let_4 (tptp.k2_realset2 A))) (=> (tptp.m1_subset_1 D _let_4) (= (tptp.k1_funct_1 _let_1 (tptp.k4_tarski (tptp.k1_funct_1 _let_3 (tptp.k4_tarski B (tptp.k8_funct_2 _let_4 _let_4 _let_2 C))) D)) (tptp.k1_funct_1 _let_3 (tptp.k4_tarski (tptp.k1_funct_1 _let_1 (tptp.k4_tarski B D)) (tptp.k1_funct_1 _let_2 (tptp.k1_funct_1 _let_1 (tptp.k4_tarski C D)))))))))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v4_realset2 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k4_realset2 A))) (=> (tptp.m1_subset_1 B (tptp.k2_realset2 A)) (= (tptp.k1_funct_1 (tptp.k5_realset2 A) (tptp.k4_tarski B _let_1)) _let_1)))))) (forall ((A $$unsorted)) (=> (and (tptp.v4_realset2 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k4_realset2 A))) (=> (tptp.m1_subset_1 B (tptp.k2_realset2 A)) (= (tptp.k1_funct_1 (tptp.k5_realset2 A) (tptp.k4_tarski _let_1 B)) _let_1)))))) (forall ((A $$unsorted)) (=> (and (tptp.v4_realset2 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k2_realset2 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k7_realset2 A))) (let ((_let_2 (tptp.k2_realset2 A))) (let ((_let_3 (tptp.k5_realset2 A))) (=> (tptp.m1_subset_1 C _let_2) (= (tptp.k1_funct_1 _let_1 (tptp.k1_funct_1 _let_3 (tptp.k4_tarski B C))) (tptp.k1_funct_1 _let_3 (tptp.k4_tarski B (tptp.k8_funct_2 _let_2 _let_2 _let_1 C))))))))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k4_realset2 A))) (=> (and (tptp.v4_realset2 A) (tptp.l3_vectsp_1 A)) (= (tptp.k1_funct_1 (tptp.k5_realset2 A) (tptp.k4_tarski (tptp.k6_realset2 A) _let_1)) _let_1)))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k4_realset2 A))) (=> (and (tptp.v4_realset2 A) (tptp.l3_vectsp_1 A)) (= (tptp.k1_funct_1 (tptp.k5_realset2 A) (tptp.k4_tarski _let_1 (tptp.k6_realset2 A))) _let_1)))) (forall ((A $$unsorted)) (=> (and (tptp.v4_realset2 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k2_realset2 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k2_realset2 A))) (=> (tptp.m1_subset_1 C _let_1) (tptp.m1_subset_1 (tptp.k1_funct_1 (tptp.k5_realset2 A) (tptp.k4_tarski B C)) _let_1)))))))) (forall ((A $$unsorted)) (=> (and (tptp.v4_realset2 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k2_realset2 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k2_realset2 A)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k5_realset2 A))) (=> (tptp.m1_subset_1 D (tptp.k2_realset2 A)) (= (tptp.k1_funct_1 _let_1 (tptp.k4_tarski (tptp.k1_funct_1 _let_1 (tptp.k4_tarski B C)) D)) (tptp.k1_funct_1 _let_1 (tptp.k4_tarski B (tptp.k1_funct_1 _let_1 (tptp.k4_tarski C D)))))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v4_realset2 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k2_realset2 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k5_realset2 A))) (=> (tptp.m1_subset_1 C (tptp.k2_realset2 A)) (= (tptp.k1_funct_1 _let_1 (tptp.k4_tarski B C)) (tptp.k1_funct_1 _let_1 (tptp.k4_tarski C B)))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v4_realset2 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k6_realset2 A))) (let ((_let_2 (tptp.k5_realset2 A))) (=> (tptp.m1_subset_1 B (tptp.k2_realset2 A)) (and (= (tptp.k1_funct_1 _let_2 (tptp.k4_tarski B _let_1)) B) (= (tptp.k1_funct_1 _let_2 (tptp.k4_tarski _let_1 B)) B)))))))) (forall ((A $$unsorted)) (=> (and (tptp.v4_realset2 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k2_realset2 A))) (let ((_let_2 (tptp.k4_xboole_0 _let_1 (tptp.k5_realset1 _let_1 (tptp.k4_realset2 A))))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_2 _let_2) (tptp.m2_relset_1 B _let_2 _let_2)) (= (= B (tptp.k8_realset2 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k2_realset2 A))) (let ((_let_2 (tptp.k4_xboole_0 _let_1 (tptp.k5_realset1 _let_1 (tptp.k4_realset2 A))))) (=> (tptp.m1_subset_1 C _let_2) (= (tptp.k1_funct_1 (tptp.k5_realset2 A) (tptp.k4_tarski C (tptp.k8_funct_2 _let_2 _let_2 B C))) (tptp.k6_realset2 A))))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v4_realset2 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k2_realset2 A))) (=> (tptp.m1_subset_1 B (tptp.k4_xboole_0 _let_1 (tptp.k5_realset1 _let_1 (tptp.k4_realset2 A)))) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k2_realset2 A))) (let ((_let_2 (tptp.k4_xboole_0 _let_1 (tptp.k5_realset1 _let_1 (tptp.k4_realset2 A))))) (=> (tptp.m1_subset_1 C _let_2) (=> (= (tptp.k1_funct_1 (tptp.k5_realset2 A) (tptp.k4_tarski B C)) (tptp.k6_realset2 A)) (= C (tptp.k8_funct_2 _let_2 _let_2 (tptp.k8_realset2 A) B)))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v4_realset2 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k8_realset2 A))) (let ((_let_2 (tptp.k2_realset2 A))) (let ((_let_3 (tptp.k4_xboole_0 _let_2 (tptp.k5_realset1 _let_2 (tptp.k4_realset2 A))))) (=> (tptp.m1_subset_1 B _let_3) (= B (tptp.k8_funct_2 _let_3 _let_3 _let_1 (tptp.k8_funct_2 _let_3 _let_3 _let_1 B)))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v4_realset2 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k2_realset2 A))) (=> (tptp.m1_subset_1 B (tptp.k4_xboole_0 _let_1 (tptp.k5_realset1 _let_1 (tptp.k4_realset2 A)))) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k2_realset2 A))) (let ((_let_2 (tptp.k4_xboole_0 _let_1 (tptp.k5_realset1 _let_1 (tptp.k4_realset2 A))))) (=> (tptp.m1_subset_1 C _let_2) (and (tptp.m1_subset_1 (tptp.k1_funct_1 (tptp.k5_realset2 A) (tptp.k4_tarski B C)) _let_2) (tptp.m1_subset_1 (tptp.k8_funct_2 _let_2 _let_2 (tptp.k8_realset2 A) B) _let_2))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v4_realset2 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k2_realset2 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k2_realset2 A)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k3_realset2 A))) (let ((_let_2 (tptp.k2_realset2 A))) (=> (tptp.m1_subset_1 D _let_2) (=> (= (tptp.k2_binop_1 _let_2 _let_2 _let_2 _let_1 B C) (tptp.k2_binop_1 _let_2 _let_2 _let_2 _let_1 B D)) (= C D)))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v4_realset2 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k2_realset2 A))) (=> (tptp.m1_subset_1 B (tptp.k4_xboole_0 _let_1 (tptp.k5_realset1 _let_1 (tptp.k4_realset2 A)))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k2_realset2 A)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k5_realset2 A))) (=> (tptp.m1_subset_1 D (tptp.k2_realset2 A)) (=> (= (tptp.k1_funct_1 _let_1 (tptp.k4_tarski B C)) (tptp.k1_funct_1 _let_1 (tptp.k4_tarski B D))) (= C D)))))))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (let ((_let_1 (tptp.k1_realset2 A B C D E))) (let ((_let_2 (tptp.k2_zfmisc_1 A A))) (=> (and (not (tptp.v1_realset1 A)) (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_2 A) (tptp.m1_relset_1 B _let_2 A) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 A) (tptp.m1_relset_1 C _let_2 A) (tptp.m1_subset_1 D A) (tptp.m1_subset_1 E (tptp.k4_xboole_0 A (tptp.k5_realset1 A D)))) (and (tptp.v3_vectsp_1 _let_1) (not (tptp.v3_realset2 _let_1)) (tptp.l3_vectsp_1 _let_1)))))) (forall ((A $$unsorted)) (=> (and (tptp.v4_realset2 A) (tptp.l3_vectsp_1 A)) (not (tptp.v1_realset1 (tptp.k2_realset2 A))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k2_realset2 A))) (let ((_let_2 (tptp.k2_zfmisc_1 _let_1 _let_1))) (let ((_let_3 (tptp.k3_realset2 A))) (=> (and (tptp.v4_realset2 A) (tptp.l3_vectsp_1 A)) (and (tptp.v1_funct_1 _let_3) (tptp.v1_funct_2 _let_3 _let_2 _let_1) (tptp.m2_relset_1 _let_3 _let_2 _let_1))))))) (forall ((A $$unsorted)) (=> (and (tptp.v4_realset2 A) (tptp.l3_vectsp_1 A)) (tptp.m1_subset_1 (tptp.k4_realset2 A) (tptp.k2_realset2 A)))) (forall ((A $$unsorted)) (=> (and (tptp.v4_realset2 A) (tptp.l3_vectsp_1 A)) (tptp.m3_realset1 (tptp.k5_realset2 A) (tptp.k2_realset2 A) (tptp.k4_realset2 A)))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k2_realset2 A))) (=> (and (tptp.v4_realset2 A) (tptp.l3_vectsp_1 A)) (tptp.m1_subset_1 (tptp.k6_realset2 A) (tptp.k4_xboole_0 _let_1 (tptp.k5_realset1 _let_1 (tptp.k4_realset2 A))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k2_realset2 A))) (let ((_let_2 (tptp.k7_realset2 A))) (=> (and (tptp.v4_realset2 A) (tptp.l3_vectsp_1 A)) (and (tptp.v1_funct_1 _let_2) (tptp.v1_funct_2 _let_2 _let_1 _let_1) (tptp.m2_relset_1 _let_2 _let_1 _let_1)))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k2_realset2 A))) (let ((_let_2 (tptp.k4_xboole_0 _let_1 (tptp.k5_realset1 _let_1 (tptp.k4_realset2 A))))) (let ((_let_3 (tptp.k8_realset2 A))) (=> (and (tptp.v4_realset2 A) (tptp.l3_vectsp_1 A)) (and (tptp.v1_funct_1 _let_3) (tptp.v1_funct_2 _let_3 _let_2 _let_2) (tptp.m2_relset_1 _let_3 _let_2 _let_2))))))) (forall ((A $$unsorted)) (=> (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 $$unsorted)) (and (tptp.l1_msualg_1 A) (tptp.v1_msualg_1 A))) (exists ((A $$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) (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))) _let_4 (and (tptp.v1_fraenkel _let_3) (tptp.v1_pralg_2 _let_3)) (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 $$unsorted)) (=> (tptp.v1_xboole_0 A) (tptp.v1_fraenkel A))) (exists ((A $$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) (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)) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.v2_relat_1 C) (tptp.m1_pboole C B)) (= (tptp.r2_hidden A (tptp.a_2_1_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)) (=> (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 $$unsorted)) (let ((_let_1 (tptp.g1_struct_0 (tptp.u1_struct_0 A)))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_struct_0 A)) (and (tptp.v1_struct_0 _let_1) (not (tptp.v3_struct_0 _let_1)))))) (forall ((A $$unsorted)) (=> (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)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (= (= C (tptp.k1_closure3 A B)) (= C (tptp.a_2_0_closure3 A B)))))))) _let_2 _let_1 true))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 123.21/123.52  )
% 123.21/123.52  % SZS output end Proof for ALG226+2
% 123.21/123.52  % cvc5---1.0.5 exiting
% 123.21/123.52  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------