%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : TOP024+2 : TPTP v8.1.2. Released v3.4.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n013.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 : Fri Sep  1 05:54:36 EDT 2023

% Result   : Theorem 7.27s 7.46s
% Output   : Proof 7.29s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.36  % Problem    : TOP024+2 : TPTP v8.1.2. Released v3.4.0.
% 0.12/0.37  % Command    : do_cvc5 %s %d
% 0.37/0.58  % Computer : n013.cluster.edu
% 0.37/0.58  % Model    : x86_64 x86_64
% 0.37/0.58  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.37/0.58  % Memory   : 8042.1875MB
% 0.37/0.58  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.37/0.58  % CPULimit   : 300
% 0.37/0.58  % WCLimit    : 300
% 0.37/0.58  % DateTime   : Sat Aug 26 23:05:03 EDT 2023
% 0.37/0.58  % CPUTime    : 
% 0.80/1.05  %----Proving TF0_NAR, FOF, or CNF
% 7.27/7.46  ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.0OfTgPPqeR/cvc5---1.0.5_10927.p...
% 7.27/7.46  ------- get file name : TPTP file name is TOP024+2
% 7.27/7.46  ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_10927.smt2...
% 7.27/7.46  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 7.27/7.46  % SZS status Theorem for TOP024+2
% 7.27/7.46  % SZS output start Proof for TOP024+2
% 7.27/7.46  (
% 7.27/7.46  (let ((_let_1 (not (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (tptp.v1_tsp_2 B A) (tptp.v1_tops_1 B A))))))))) (let ((_let_2 (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 _let_1)) (= (tptp.v1_tsp_2 B A) (and (tptp.v1_tsp_1 B A) (= (tptp.k3_tex_4 A B) _let_1)))))))))) (let ((_let_3 (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (tptp.k6_pre_topc A (tptp.k3_tex_4 A B)) (tptp.k6_pre_topc A B)))))))) (let ((_let_4 (tptp.u1_struct_0 tptp.k22_borsuk_1))) (let ((_let_5 (tptp.v1_metric_1 tptp.k8_metric_1))) (let ((_let_6 (tptp.k2_zfmisc_1 tptp.k1_numbers tptp.k1_numbers))) (let ((_let_7 (tptp.k1_tarski tptp.k1_xboole_0))) (let ((_let_8 (tptp.k2_zfmisc_1 _let_7 _let_7))) (let ((_let_9 (not (tptp.v3_struct_0 tptp.k8_metric_1)))) (let ((_let_10 (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (tptp.v1_tops_1 B A) (= (tptp.k6_pre_topc A B) (tptp.k2_pre_topc A))))))))) (let ((_let_11 (forall ((A $$unsorted)) (let ((_let_1 (tptp.k2_pre_topc A))) (=> (tptp.l1_pre_topc A) (= (tptp.k6_pre_topc A _let_1) _let_1)))))) (let ((_let_12 (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (tptp.l1_struct_0 A))))) (let ((_let_13 (forall ((A $$unsorted)) (=> (tptp.l1_struct_0 A) (= (tptp.k2_pre_topc A) (tptp.u1_struct_0 A)))))) (let ((_let_14 (tptp.v1_xboole_0 tptp.k1_xboole_0))) (let ((_let_15 (not (tptp.v1_xboole_0 tptp.k4_numbers)))) (let ((_let_16 (not (tptp.v1_xboole_0 tptp.k3_numbers)))) (let ((_let_17 (not (tptp.v1_xboole_0 tptp.k1_numbers)))) (let ((_let_18 (not (tptp.v1_xboole_0 tptp.k2_numbers)))) (let ((_let_19 (tptp.k1_tarski (tptp.k4_tarski tptp.np__0 tptp.np__0)))) (let ((_let_20 (tptp.k1_tarski tptp.np__0))) (let ((_let_21 (tptp.r2_hidden tptp.k1_xboole_0 tptp.f1_s4_ordinal2))) (let ((_let_22 (= (tptp.k2_relat_1 tptp.k1_xboole_0) tptp.k1_xboole_0))) (let ((_let_23 (tptp.v3_ordinal1 tptp.k1_xboole_0))) (let ((_let_24 (tptp.v3_relat_1 tptp.k1_xboole_0))) (let ((_let_25 (tptp.v1_relat_1 tptp.k1_xboole_0))) (let ((_let_26 (tptp.k2_pre_topc SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_72))) (let ((_let_27 (= _let_26 (tptp.k6_pre_topc SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_72 _let_26)))) (let ((_let_28 (tptp.k3_tex_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_72 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_73))) (let ((_let_29 (tptp.k6_pre_topc SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_72 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_73))) (let ((_let_30 (= _let_29 (tptp.k6_pre_topc SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_72 _let_28)))) (let ((_let_31 (tptp.u1_struct_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_72))) (let ((_let_32 (= _let_31 _let_26))) (let ((_let_33 (= _let_26 _let_29))) (let ((_let_34 (= _let_31 _let_28))) (let ((_let_35 (tptp.l1_pre_topc SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_72))) (let ((_let_36 (not _let_35))) (let ((_let_37 (or _let_36 _let_27))) (let ((_let_38 (forall ((A $$unsorted)) (let ((_let_1 (tptp.k2_pre_topc A))) (or (not (tptp.l1_pre_topc A)) (= _let_1 (tptp.k6_pre_topc A _let_1))))))) (let ((_let_39 (EQ_RESOLVE (ASSUME :args (_let_11)) (MACRO_SR_EQ_INTRO :args (_let_11 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_40 (tptp.v1_tops_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_73 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_72))) (let ((_let_41 (tptp.v1_tsp_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_73 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_72))) (let ((_let_42 (not _let_41))) (let ((_let_43 (tptp.m1_subset_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_73 (tptp.k1_zfmisc_1 _let_31)))) (let ((_let_44 (not _let_43))) (let ((_let_45 (tptp.v2_pre_topc SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_72))) (let ((_let_46 (not _let_45))) (let ((_let_47 (tptp.v3_struct_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_72))) (let ((_let_48 (or _let_47 _let_46 _let_36 _let_44 _let_42 _let_40))) (let ((_let_49 (forall ((A $$unsorted) (BOUND_VARIABLE_158182 $$unsorted)) (or (tptp.v3_struct_0 A) (not (tptp.v2_pre_topc A)) (not (tptp.l1_pre_topc A)) (not (tptp.m1_subset_1 BOUND_VARIABLE_158182 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (not (tptp.v1_tsp_2 BOUND_VARIABLE_158182 A)) (tptp.v1_tops_1 BOUND_VARIABLE_158182 A))))) (let ((_let_50 (not _let_48))) (let ((_let_51 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_52 (or))) (let ((_let_53 (not _let_49))) (let ((_let_54 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_51) :args (_let_53))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_53) _let_49))) (REFL :args (_let_50)) :args _let_52)) _let_51 :args (_let_50 true _let_49)))) (let ((_let_55 (REFL :args (_let_48)))) (let ((_let_56 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_48 2)) (CONG _let_55 (MACRO_SR_PRED_INTRO :args ((= (not _let_36) _let_35))) :args _let_52)) :args ((or _let_35 _let_48))) _let_54 :args (_let_35 true _let_48)))) (let ((_let_57 (or _let_47 _let_46 _let_36 _let_44 _let_30))) (let ((_let_58 (forall ((A $$unsorted) (BOUND_VARIABLE_152988 $$unsorted)) (or (tptp.v3_struct_0 A) (not (tptp.v2_pre_topc A)) (not (tptp.l1_pre_topc A)) (not (tptp.m1_subset_1 BOUND_VARIABLE_152988 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (= (tptp.k6_pre_topc A (tptp.k3_tex_4 A BOUND_VARIABLE_152988)) (tptp.k6_pre_topc A BOUND_VARIABLE_152988)))))) (let ((_let_59 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_60 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_48 3)) (CONG _let_55 (MACRO_SR_PRED_INTRO :args ((= (not _let_44) _let_43))) :args _let_52)) :args ((or _let_43 _let_48))) _let_54 :args (_let_43 true _let_48)))) (let ((_let_61 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_48 1)) (CONG _let_55 (MACRO_SR_PRED_INTRO :args ((= (not _let_46) _let_45))) :args _let_52)) :args ((or _let_45 _let_48))) _let_54 :args (_let_45 true _let_48)))) (let ((_let_62 (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_48 0)) _let_54 :args ((not _let_47) true _let_48)))) (let ((_let_63 (tptp.l1_struct_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_72))) (let ((_let_64 (not _let_63))) (let ((_let_65 (or _let_64 _let_32))) (let ((_let_66 (forall ((A $$unsorted)) (or (not (tptp.l1_struct_0 A)) (= (tptp.k2_pre_topc A) (tptp.u1_struct_0 A)))))) (let ((_let_67 (EQ_RESOLVE (ASSUME :args (_let_13)) (MACRO_SR_EQ_INTRO :args (_let_13 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_68 (or _let_36 _let_63))) (let ((_let_69 (forall ((A $$unsorted)) (or (not (tptp.l1_pre_topc A)) (tptp.l1_struct_0 A))))) (let ((_let_70 (EQ_RESOLVE (ASSUME :args (_let_12)) (MACRO_SR_EQ_INTRO :args (_let_12 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_71 (= _let_40 _let_33))) (let ((_let_72 (not _let_33))) (let ((_let_73 (or _let_36 _let_44 _let_71))) (let ((_let_74 (forall ((A $$unsorted) (BOUND_VARIABLE_102420 $$unsorted)) (or (not (tptp.l1_pre_topc A)) (not (tptp.m1_subset_1 BOUND_VARIABLE_102420 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (= (tptp.v1_tops_1 BOUND_VARIABLE_102420 A) (= (tptp.k2_pre_topc A) (tptp.k6_pre_topc A BOUND_VARIABLE_102420))))))) (let ((_let_75 (EQ_RESOLVE (ASSUME :args (_let_10)) (MACRO_SR_EQ_INTRO :args (_let_10 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_76 (and (tptp.v1_tsp_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_73 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_72) _let_34))) (let ((_let_77 (= _let_41 _let_76))) (let ((_let_78 (or _let_47 _let_46 _let_36 _let_44 _let_77))) (let ((_let_79 (forall ((A $$unsorted) (BOUND_VARIABLE_158152 $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (or (tptp.v3_struct_0 A) (not (tptp.v2_pre_topc A)) (not (tptp.l1_pre_topc A)) (not (tptp.m1_subset_1 BOUND_VARIABLE_158152 (tptp.k1_zfmisc_1 _let_1))) (= (tptp.v1_tsp_2 BOUND_VARIABLE_158152 A) (and (tptp.v1_tsp_1 BOUND_VARIABLE_158152 A) (= _let_1 (tptp.k3_tex_4 A BOUND_VARIABLE_158152))))))))) (let ((_let_80 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_81 (and _let_32 _let_27 _let_30 _let_34))) (let ((_let_82 (ASSUME :args (_let_30)))) (let ((_let_83 (ASSUME :args (_let_34)))) (let ((_let_84 (ASSUME :args (_let_32)))) (let ((_let_85 (ASSUME :args (_let_27)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_81)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_82 _let_83 _let_84 _let_85) (SCOPE (TRANS (SYMM (SYMM _let_85)) (CONG (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_72)) (TRANS (SYMM _let_84) (SYMM (SYMM _let_83))) :args (APPLY_UF tptp.k6_pre_topc)) (SYMM _let_82)) :args (_let_30 _let_34 _let_32 _let_27))) :args (_let_32 _let_27 _let_30 _let_34))) :args (true _let_81)) :args ((or _let_33 (not _let_32) (not _let_27) (not _let_30) (not _let_34)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_76 1)) :args ((or _let_34 (not _let_76)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_77)) :args ((or _let_42 _let_76 (not _let_77)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_48 4)) (CONG _let_55 (MACRO_SR_PRED_INTRO :args ((= (not _let_42) _let_41))) :args _let_52)) :args ((or _let_41 _let_48))) _let_54 :args (_let_41 true _let_48)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_78)) :args ((or _let_47 _let_46 _let_36 _let_44 _let_77 (not _let_78)))) _let_62 _let_61 _let_56 _let_60 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_80 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_72 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_73 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.m1_subset_1 BOUND_VARIABLE_158152 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) false))))) :args (_let_79))) _let_80 :args (_let_78 false _let_79)) :args (_let_77 true _let_47 false _let_45 false _let_35 false _let_43 false _let_78)) :args (_let_76 false _let_41 false _let_77)) :args (_let_34 false _let_76)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_71)) :args ((or _let_40 _let_72 (not _let_71)))) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_48 5)) _let_54 :args ((not _let_40) true _let_48)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_73)) :args ((or _let_36 _let_44 _let_71 (not _let_73)))) _let_56 _let_60 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_75 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_72 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_73 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.m1_subset_1 BOUND_VARIABLE_102420 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) false))))) :args (_let_74))) _let_75 :args (_let_73 false _let_74)) :args (_let_71 false _let_35 false _let_43 false _let_73)) :args (_let_72 true _let_40 false _let_71)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_65)) :args ((or _let_64 _let_32 (not _let_65)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_68)) :args ((or _let_36 _let_63 (not _let_68)))) _let_56 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_70 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_72 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.l1_pre_topc A) false))))) :args (_let_69))) _let_70 :args (_let_68 false _let_69)) :args (_let_63 false _let_35 false _let_68)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_67 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_72 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.u1_struct_0 A)))) :args (_let_66)))) _let_67 :args (_let_65 false _let_66)) :args (_let_32 false _let_63 false _let_65)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_57)) :args ((or _let_47 _let_46 _let_36 _let_44 _let_30 (not _let_57)))) _let_62 _let_61 _let_56 _let_60 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_59 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_72 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_73 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.m1_subset_1 BOUND_VARIABLE_152988 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) false))))) :args (_let_58)))) _let_59 :args (_let_57 false _let_58)) :args (_let_30 true _let_47 false _let_45 false _let_35 false _let_43 false _let_57)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_37)) :args ((or _let_36 _let_27 (not _let_37)))) _let_56 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_39 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_72 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.l1_pre_topc A) false))))) :args (_let_38))) _let_39 :args (_let_37 false _let_38)) :args (_let_27 false _let_35 false _let_37)) :args (false false _let_34 true _let_33 false _let_32 false _let_30 false _let_27)) :args ((forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.r2_hidden A B) (not (tptp.r2_hidden B A)))) true (forall ((A $$unsorted) (B $$unsorted)) (=> (forall ((C $$unsorted)) (= (tptp.r2_hidden C A) (tptp.r2_hidden C B))) (= A B))) (forall ((A $$unsorted) (B $$unsorted)) (= (= B (tptp.k1_tarski A)) (forall ((C $$unsorted)) (= (tptp.r2_hidden C B) (= C A))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (= C (tptp.k2_tarski A B)) (forall ((D $$unsorted)) (= (tptp.r2_hidden D C) (or (= D A) (= D B)))))) true true (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.r1_tarski A B) (forall ((C $$unsorted)) (=> (tptp.r2_hidden C A) (tptp.r2_hidden C B))))) (forall ((A $$unsorted) (B $$unsorted)) (= (= B (tptp.k3_tarski A)) (forall ((C $$unsorted)) (= (tptp.r2_hidden C B) (exists ((D $$unsorted)) (and (tptp.r2_hidden C D) (tptp.r2_hidden D A))))))) true true (forall ((A $$unsorted) (B $$unsorted)) (not (and (tptp.r2_hidden A B) (forall ((C $$unsorted)) (not (and (tptp.r2_hidden C B) (forall ((D $$unsorted)) (not (and (tptp.r2_hidden D B) (tptp.r2_hidden D C)))))))))) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.k4_tarski A B) (tptp.k2_tarski (tptp.k2_tarski A B) (tptp.k1_tarski A)))) true (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.r2_tarski A B) (exists ((C $$unsorted)) (and (forall ((D $$unsorted)) (not (and (tptp.r2_hidden D A) (forall ((E $$unsorted)) (not (and (tptp.r2_hidden E B) (tptp.r2_hidden (tptp.k4_tarski D E) C))))))) (forall ((D $$unsorted)) (not (and (tptp.r2_hidden D B) (forall ((E $$unsorted)) (not (and (tptp.r2_hidden E A) (tptp.r2_hidden (tptp.k4_tarski E D) C))))))) (forall ((D $$unsorted) (E $$unsorted) (F $$unsorted) (G $$unsorted)) (=> (and (tptp.r2_hidden (tptp.k4_tarski D E) C) (tptp.r2_hidden (tptp.k4_tarski F G) C)) (= (= D F) (= E G)))))))) (forall ((A $$unsorted)) (exists ((B $$unsorted)) (and (tptp.r2_hidden A B) (forall ((C $$unsorted) (D $$unsorted)) (=> (and (tptp.r2_hidden C B) (tptp.r1_tarski D C)) (tptp.r2_hidden D B))) (forall ((C $$unsorted)) (not (and (tptp.r2_hidden C B) (forall ((D $$unsorted)) (not (and (tptp.r2_hidden D B) (forall ((E $$unsorted)) (=> (tptp.r1_tarski E C) (tptp.r2_hidden E D))))))))) (forall ((C $$unsorted)) (not (and (tptp.r1_tarski C B) (not (tptp.r2_tarski C B)) (not (tptp.r2_hidden C B)))))))) (=> (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.p1_s1_tarski A B) (tptp.p1_s1_tarski A C)) (= B C))) (exists ((A $$unsorted)) (forall ((B $$unsorted)) (= (tptp.r2_hidden B A) (exists ((C $$unsorted)) (and (tptp.r2_hidden C tptp.f1_s1_tarski) (tptp.p1_s1_tarski C B))))))) (forall ((A $$unsorted) (B $$unsorted)) (tptp.r1_tarski A A)) true true (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.k2_tarski A B) (tptp.k2_tarski B A))) true true _let_14 (exists ((A $$unsorted)) (tptp.v1_xboole_0 A)) (exists ((A $$unsorted)) (not (tptp.v1_xboole_0 A))) (forall ((A $$unsorted) (B $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (not (tptp.v1_xboole_0 (tptp.k2_xboole_0 A B))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (not (tptp.v1_xboole_0 (tptp.k2_xboole_0 B A))))) (forall ((A $$unsorted)) (= (= A tptp.k1_xboole_0) (forall ((B $$unsorted)) (not (tptp.r2_hidden B A))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (= C (tptp.k2_xboole_0 A B)) (forall ((D $$unsorted)) (= (tptp.r2_hidden D C) (or (tptp.r2_hidden D A) (tptp.r2_hidden D B)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (= C (tptp.k3_xboole_0 A B)) (forall ((D $$unsorted)) (= (tptp.r2_hidden D C) (and (tptp.r2_hidden D A) (tptp.r2_hidden D B)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (= C (tptp.k4_xboole_0 A B)) (forall ((D $$unsorted)) (= (tptp.r2_hidden D C) (and (tptp.r2_hidden D A) (not (tptp.r2_hidden D B))))))) (forall ((A $$unsorted)) (= (tptp.v1_xboole_0 A) (= A tptp.k1_xboole_0))) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.k5_xboole_0 A B) (tptp.k2_xboole_0 (tptp.k4_xboole_0 A B) (tptp.k4_xboole_0 B A)))) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.r1_xboole_0 A B) (= (tptp.k3_xboole_0 A B) tptp.k1_xboole_0))) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.r2_xboole_0 A B) (and (tptp.r1_tarski A B) (not (= A B))))) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.r3_xboole_0 A B) (or (tptp.r1_tarski A B) (tptp.r1_tarski B A)))) (forall ((A $$unsorted) (B $$unsorted)) (= (= A B) (and (tptp.r1_tarski A B) (tptp.r1_tarski B A)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.r2_hidden A (tptp.k5_xboole_0 B C)) (not (= (tptp.r2_hidden A B) (tptp.r2_hidden A C))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (forall ((D $$unsorted)) (= (not (tptp.r2_hidden D A)) (= (tptp.r2_hidden D B) (tptp.r2_hidden D C)))) (= A (tptp.k5_xboole_0 B C)))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.r1_xboole_0 A B))) (and (not (and (not _let_1) (forall ((C $$unsorted)) (not (and (tptp.r2_hidden C A) (tptp.r2_hidden C B)))))) (not (and (exists ((C $$unsorted)) (and (tptp.r2_hidden C A) (tptp.r2_hidden C B))) _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.r1_xboole_0 A B))) (and (not (and (not _let_1) (forall ((C $$unsorted)) (not (tptp.r2_hidden C (tptp.k3_xboole_0 A B)))))) (not (and (exists ((C $$unsorted)) (tptp.r2_hidden C (tptp.k3_xboole_0 A B))) _let_1))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.r2_hidden C A))) (let ((_let_2 (tptp.r2_hidden C B))) (not (and (tptp.r1_xboole_0 A B) (tptp.r2_hidden C (tptp.k2_xboole_0 A B)) (not (and _let_1 (not _let_2))) (not (and _let_2 (not _let_1)))))))) (exists ((A $$unsorted)) (forall ((B $$unsorted)) (= (tptp.r2_hidden B A) (and (tptp.r2_hidden B tptp.f1_s1_xboole_0) (tptp.p1_s1_xboole_0 B))))) (=> (and (forall ((A $$unsorted)) (= (tptp.r2_hidden A tptp.f1_s2_xboole_0) (tptp.p1_s2_xboole_0 A))) (forall ((A $$unsorted)) (= (tptp.r2_hidden A tptp.f2_s2_xboole_0) (tptp.p1_s2_xboole_0 A)))) (= tptp.f1_s2_xboole_0 tptp.f2_s2_xboole_0)) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (forall ((C $$unsorted)) (= (tptp.r2_hidden C A) (tptp.p1_s3_xboole_0 C))) (forall ((C $$unsorted)) (= (tptp.r2_hidden C B) (tptp.p1_s3_xboole_0 C)))) (= A B))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.r1_xboole_0 A B) (tptp.r1_xboole_0 B A))) (forall ((A $$unsorted) (B $$unsorted)) (not (tptp.r2_xboole_0 A A))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.r2_xboole_0 A B) (not (tptp.r2_xboole_0 B A)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.r3_xboole_0 A B) (tptp.r3_xboole_0 B A))) (forall ((A $$unsorted) (B $$unsorted)) (tptp.r3_xboole_0 A A)) true true (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.k2_xboole_0 A B) (tptp.k2_xboole_0 B A))) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.k2_xboole_0 A A) A)) true (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.k3_xboole_0 A B) (tptp.k3_xboole_0 B A))) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.k3_xboole_0 A A) A)) true true (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.k5_xboole_0 A B) (tptp.k5_xboole_0 B A))) (forall ((A $$unsorted)) (= (tptp.k2_xboole_0 A tptp.k1_xboole_0) A)) (forall ((A $$unsorted)) (= (tptp.k3_xboole_0 A tptp.k1_xboole_0) tptp.k1_xboole_0)) (forall ((A $$unsorted)) (= (tptp.k4_xboole_0 A tptp.k1_xboole_0) A)) (forall ((A $$unsorted)) (= (tptp.k4_xboole_0 tptp.k1_xboole_0 A) tptp.k1_xboole_0)) (forall ((A $$unsorted)) (= (tptp.k5_xboole_0 A tptp.k1_xboole_0) A)) (forall ((A $$unsorted)) (=> (tptp.v1_xboole_0 A) (= A tptp.k1_xboole_0))) (forall ((A $$unsorted) (B $$unsorted)) (not (and (tptp.r2_hidden A B) (tptp.v1_xboole_0 B)))) (forall ((A $$unsorted) (B $$unsorted)) (not (and (tptp.v1_xboole_0 A) (not (= A B)) (tptp.v1_xboole_0 B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.r1_tarski A B) (tptp.r1_tarski B C)) (tptp.r1_tarski A C))) (forall ((A $$unsorted)) (tptp.r1_tarski tptp.k1_xboole_0 A)) (forall ((A $$unsorted)) (=> (tptp.r1_tarski A tptp.k1_xboole_0) (= A tptp.k1_xboole_0))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.k2_xboole_0 (tptp.k2_xboole_0 A B) C) (tptp.k2_xboole_0 A (tptp.k2_xboole_0 B C)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.k2_xboole_0 (tptp.k2_xboole_0 A B) C) (tptp.k2_xboole_0 (tptp.k2_xboole_0 A C) (tptp.k2_xboole_0 B C)))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k2_xboole_0 A B))) (= (tptp.k2_xboole_0 A _let_1) _let_1))) (forall ((A $$unsorted) (B $$unsorted)) (tptp.r1_tarski A (tptp.k2_xboole_0 A B))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.r1_tarski A B) (tptp.r1_tarski C B)) (tptp.r1_tarski (tptp.k2_xboole_0 A C) B))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.r1_tarski A B) (tptp.r1_tarski (tptp.k2_xboole_0 A C) (tptp.k2_xboole_0 B C)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.r1_tarski A B) (tptp.r1_tarski A (tptp.k2_xboole_0 C B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.r1_tarski (tptp.k2_xboole_0 A B) C) (tptp.r1_tarski A C))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.r1_tarski A B) (= (tptp.k2_xboole_0 A B) B))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.r1_tarski A B) (tptp.r1_tarski C D)) (tptp.r1_tarski (tptp.k2_xboole_0 A C) (tptp.k2_xboole_0 B D)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.r1_tarski A B) (tptp.r1_tarski C B) (forall ((D $$unsorted)) (=> (and (tptp.r1_tarski A D) (tptp.r1_tarski C D)) (tptp.r1_tarski B D)))) (= B (tptp.k2_xboole_0 A C)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (= (tptp.k2_xboole_0 A B) tptp.k1_xboole_0) (= A tptp.k1_xboole_0))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.k3_xboole_0 (tptp.k3_xboole_0 A B) C) (tptp.k3_xboole_0 A (tptp.k3_xboole_0 B C)))) (forall ((A $$unsorted) (B $$unsorted)) (tptp.r1_tarski (tptp.k3_xboole_0 A B) A)) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.r1_tarski A (tptp.k3_xboole_0 B C)) (tptp.r1_tarski A B))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.r1_tarski A B) (tptp.r1_tarski A C)) (tptp.r1_tarski A (tptp.k3_xboole_0 B C)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.r1_tarski A B) (tptp.r1_tarski A C) (forall ((D $$unsorted)) (=> (and (tptp.r1_tarski D B) (tptp.r1_tarski D C)) (tptp.r1_tarski D A)))) (= A (tptp.k3_xboole_0 B C)))) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.k3_xboole_0 A (tptp.k2_xboole_0 A B)) A)) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.k2_xboole_0 A (tptp.k3_xboole_0 A B)) A)) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.k3_xboole_0 A (tptp.k2_xboole_0 B C)) (tptp.k2_xboole_0 (tptp.k3_xboole_0 A B) (tptp.k3_xboole_0 A C)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.k2_xboole_0 A (tptp.k3_xboole_0 B C)) (tptp.k3_xboole_0 (tptp.k2_xboole_0 A B) (tptp.k2_xboole_0 A C)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.k2_xboole_0 (tptp.k2_xboole_0 (tptp.k3_xboole_0 A B) (tptp.k3_xboole_0 B C)) (tptp.k3_xboole_0 C A)) (tptp.k3_xboole_0 (tptp.k3_xboole_0 (tptp.k2_xboole_0 A B) (tptp.k2_xboole_0 B C)) (tptp.k2_xboole_0 C A)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.r1_tarski A B) (tptp.r1_tarski (tptp.k3_xboole_0 A C) (tptp.k3_xboole_0 B C)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.r1_tarski A B) (tptp.r1_tarski C D)) (tptp.r1_tarski (tptp.k3_xboole_0 A C) (tptp.k3_xboole_0 B D)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.r1_tarski A B) (= (tptp.k3_xboole_0 A B) A))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (tptp.r1_tarski (tptp.k3_xboole_0 A B) (tptp.k2_xboole_0 A C))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.r1_tarski A B) (= (tptp.k2_xboole_0 A (tptp.k3_xboole_0 C B)) (tptp.k3_xboole_0 (tptp.k2_xboole_0 A C) B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (tptp.r1_tarski (tptp.k2_xboole_0 (tptp.k3_xboole_0 A B) (tptp.k3_xboole_0 A C)) (tptp.k2_xboole_0 B C))) (forall ((A $$unsorted) (B $$unsorted)) (=> (= (tptp.k4_xboole_0 A B) (tptp.k4_xboole_0 B A)) (= A B))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.r1_tarski A B) (tptp.r1_tarski (tptp.k4_xboole_0 A C) (tptp.k4_xboole_0 B C)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.r1_tarski A B) (tptp.r1_tarski (tptp.k4_xboole_0 C B) (tptp.k4_xboole_0 C A)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.r1_tarski A B) (tptp.r1_tarski C D)) (tptp.r1_tarski (tptp.k4_xboole_0 A D) (tptp.k4_xboole_0 B C)))) (forall ((A $$unsorted) (B $$unsorted)) (tptp.r1_tarski (tptp.k4_xboole_0 A B) A)) (forall ((A $$unsorted) (B $$unsorted)) (= (= (tptp.k4_xboole_0 A B) tptp.k1_xboole_0) (tptp.r1_tarski A B))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.r1_tarski A (tptp.k4_xboole_0 B A)) (= A tptp.k1_xboole_0))) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.k2_xboole_0 A (tptp.k4_xboole_0 B A)) (tptp.k2_xboole_0 A B))) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.k4_xboole_0 (tptp.k2_xboole_0 A B) B) (tptp.k4_xboole_0 A B))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.k4_xboole_0 (tptp.k4_xboole_0 A B) C) (tptp.k4_xboole_0 A (tptp.k2_xboole_0 B C)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.k4_xboole_0 (tptp.k2_xboole_0 A B) C) (tptp.k2_xboole_0 (tptp.k4_xboole_0 A C) (tptp.k4_xboole_0 B C)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.r1_tarski A (tptp.k2_xboole_0 B C)) (tptp.r1_tarski (tptp.k4_xboole_0 A B) C))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.r1_tarski (tptp.k4_xboole_0 A B) C) (tptp.r1_tarski A (tptp.k2_xboole_0 B C)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.r1_tarski A B) (= B (tptp.k2_xboole_0 A (tptp.k4_xboole_0 B A))))) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.k4_xboole_0 A (tptp.k2_xboole_0 A B)) tptp.k1_xboole_0)) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.k4_xboole_0 A (tptp.k3_xboole_0 A B)) (tptp.k4_xboole_0 A B))) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.k4_xboole_0 A (tptp.k4_xboole_0 A B)) (tptp.k3_xboole_0 A B))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.k3_xboole_0 A (tptp.k4_xboole_0 B C)) (tptp.k4_xboole_0 (tptp.k3_xboole_0 A B) C))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.k3_xboole_0 A (tptp.k4_xboole_0 B C)) (tptp.k4_xboole_0 (tptp.k3_xboole_0 A B) (tptp.k3_xboole_0 A C)))) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.k2_xboole_0 (tptp.k3_xboole_0 A B) (tptp.k4_xboole_0 A B)) A)) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.k4_xboole_0 A (tptp.k4_xboole_0 B C)) (tptp.k2_xboole_0 (tptp.k4_xboole_0 A B) (tptp.k3_xboole_0 A C)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.k4_xboole_0 A (tptp.k2_xboole_0 B C)) (tptp.k3_xboole_0 (tptp.k4_xboole_0 A B) (tptp.k4_xboole_0 A C)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.k4_xboole_0 A (tptp.k3_xboole_0 B C)) (tptp.k2_xboole_0 (tptp.k4_xboole_0 A B) (tptp.k4_xboole_0 A C)))) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.k4_xboole_0 (tptp.k2_xboole_0 A B) (tptp.k3_xboole_0 A B)) (tptp.k2_xboole_0 (tptp.k4_xboole_0 A B) (tptp.k4_xboole_0 B A)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.r2_xboole_0 A B) (tptp.r2_xboole_0 B C)) (tptp.r2_xboole_0 A C))) (forall ((A $$unsorted) (B $$unsorted)) (not (and (tptp.r2_xboole_0 A B) (tptp.r2_xboole_0 B A)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.r2_xboole_0 A B) (tptp.r1_tarski B C)) (tptp.r2_xboole_0 A C))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.r1_tarski A B) (tptp.r2_xboole_0 B C)) (tptp.r2_xboole_0 A C))) (forall ((A $$unsorted) (B $$unsorted)) (not (and (tptp.r1_tarski A B) (tptp.r2_xboole_0 B A)))) (forall ((A $$unsorted)) (=> (not (= A tptp.k1_xboole_0)) (tptp.r2_xboole_0 tptp.k1_xboole_0 A))) (forall ((A $$unsorted)) (not (tptp.r2_xboole_0 A tptp.k1_xboole_0))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.r1_tarski A B) (tptp.r1_xboole_0 B C)) (tptp.r1_xboole_0 A C))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.r1_tarski A B) (tptp.r1_tarski C D) (tptp.r1_xboole_0 B D)) (tptp.r1_xboole_0 A C))) (forall ((A $$unsorted)) (tptp.r1_xboole_0 A tptp.k1_xboole_0)) (forall ((A $$unsorted)) (let ((_let_1 (tptp.r1_xboole_0 A A))) (let ((_let_2 (= A tptp.k1_xboole_0))) (and (not (and (not _let_1) _let_2)) (not (and (not _let_2) _let_1)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.r1_tarski A B) (tptp.r1_tarski A C) (tptp.r1_xboole_0 B C)) (= A tptp.k1_xboole_0))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (not (tptp.v1_xboole_0 C)) (not (and (tptp.r1_tarski C A) (tptp.r1_tarski C B) (tptp.r1_xboole_0 A B))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (not (and (tptp.r1_tarski B A) (tptp.r1_xboole_0 B A))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.r1_xboole_0 A (tptp.k2_xboole_0 B C)))) (let ((_let_2 (tptp.r1_xboole_0 A C))) (let ((_let_3 (tptp.r1_xboole_0 A B))) (and (not (and (not _let_1) _let_3 _let_2)) (not (and (not (and _let_3 _let_2)) _let_1))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (= (tptp.k2_xboole_0 A B) (tptp.k2_xboole_0 C B)) (tptp.r1_xboole_0 A B) (tptp.r1_xboole_0 C B)) (= A C))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (= (tptp.k2_xboole_0 A B) (tptp.k2_xboole_0 C D)) (tptp.r1_xboole_0 C A) (tptp.r1_xboole_0 D B)) (= C B))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.r1_tarski A (tptp.k2_xboole_0 B C)) (tptp.r1_xboole_0 A C)) (tptp.r1_tarski A B))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (not (and (not (tptp.r1_xboole_0 A (tptp.k3_xboole_0 B C))) (tptp.r1_xboole_0 A B)))) (forall ((A $$unsorted) (B $$unsorted)) (not (and (not (tptp.r1_xboole_0 A B)) (tptp.r1_xboole_0 (tptp.k3_xboole_0 A B) B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.r1_xboole_0 A B) (tptp.r1_xboole_0 (tptp.k3_xboole_0 C A) (tptp.k3_xboole_0 C B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (not (and (not (tptp.r1_xboole_0 A B)) (tptp.r1_tarski A C) (tptp.r1_xboole_0 A (tptp.k3_xboole_0 B C))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.r1_xboole_0 A B) (= (tptp.k3_xboole_0 A (tptp.k2_xboole_0 B C)) (tptp.k3_xboole_0 A C)))) (forall ((A $$unsorted) (B $$unsorted)) (tptp.r1_xboole_0 (tptp.k4_xboole_0 A B) B)) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.r1_xboole_0 A B) (tptp.r1_xboole_0 A (tptp.k4_xboole_0 B C)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.r1_xboole_0 A (tptp.k4_xboole_0 B C)) (tptp.r1_xboole_0 B (tptp.k4_xboole_0 A C)))) (forall ((A $$unsorted) (B $$unsorted)) (tptp.r1_xboole_0 (tptp.k4_xboole_0 A B) (tptp.k4_xboole_0 B A))) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.r1_xboole_0 A B) (= (tptp.k4_xboole_0 A B) A))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (not (and (not (tptp.r1_xboole_0 A B)) (tptp.r1_xboole_0 A C) (tptp.r1_xboole_0 A (tptp.k4_xboole_0 B C))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.r1_tarski A B) (tptp.r1_xboole_0 A (tptp.k4_xboole_0 C B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.r1_tarski A B) (tptp.r1_xboole_0 A C)) (tptp.r1_tarski A (tptp.k4_xboole_0 B C)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.r1_xboole_0 A B) (= (tptp.k2_xboole_0 (tptp.k4_xboole_0 C A) B) (tptp.k4_xboole_0 (tptp.k2_xboole_0 C B) A)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.r1_xboole_0 A B) (= (tptp.k4_xboole_0 (tptp.k2_xboole_0 A B) B) A))) (forall ((A $$unsorted) (B $$unsorted)) (tptp.r1_xboole_0 (tptp.k3_xboole_0 A B) (tptp.k4_xboole_0 A B))) (forall ((A $$unsorted) (B $$unsorted)) (tptp.r1_xboole_0 (tptp.k4_xboole_0 A (tptp.k3_xboole_0 A B)) B)) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.k5_xboole_0 (tptp.k5_xboole_0 A B) C) (tptp.k5_xboole_0 A (tptp.k5_xboole_0 B C)))) (forall ((A $$unsorted)) (= (tptp.k5_xboole_0 A A) tptp.k1_xboole_0)) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.k2_xboole_0 A B) (tptp.k2_xboole_0 (tptp.k5_xboole_0 A B) (tptp.k3_xboole_0 A B)))) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.k2_xboole_0 A B) (tptp.k5_xboole_0 (tptp.k5_xboole_0 A B) (tptp.k3_xboole_0 A B)))) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.k3_xboole_0 A B) (tptp.k5_xboole_0 (tptp.k5_xboole_0 A B) (tptp.k2_xboole_0 A B)))) (forall ((A $$unsorted) (B $$unsorted)) (tptp.r1_tarski (tptp.k4_xboole_0 A B) (tptp.k5_xboole_0 A B))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.r1_tarski (tptp.k4_xboole_0 A B) C) (tptp.r1_tarski (tptp.k4_xboole_0 B A) C)) (tptp.r1_tarski (tptp.k5_xboole_0 A B) C))) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.k2_xboole_0 A B) (tptp.k5_xboole_0 A (tptp.k4_xboole_0 B A)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.k4_xboole_0 (tptp.k5_xboole_0 A B) C) (tptp.k2_xboole_0 (tptp.k4_xboole_0 A (tptp.k2_xboole_0 B C)) (tptp.k4_xboole_0 B (tptp.k2_xboole_0 A C))))) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.k4_xboole_0 A B) (tptp.k5_xboole_0 A (tptp.k3_xboole_0 A B)))) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.k5_xboole_0 A B) (tptp.k4_xboole_0 (tptp.k2_xboole_0 A B) (tptp.k3_xboole_0 A B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.k4_xboole_0 A (tptp.k5_xboole_0 B C)) (tptp.k2_xboole_0 (tptp.k4_xboole_0 A (tptp.k2_xboole_0 B C)) (tptp.k3_xboole_0 (tptp.k3_xboole_0 A B) C)))) (forall ((A $$unsorted) (B $$unsorted)) (tptp.r1_xboole_0 (tptp.k3_xboole_0 A B) (tptp.k5_xboole_0 A B))) (forall ((A $$unsorted) (B $$unsorted)) (= (not (and (not (tptp.r2_xboole_0 A B)) (not (= A B)) (not (tptp.r2_xboole_0 B A)))) (tptp.r3_xboole_0 A B))) (forall ((A $$unsorted) (B $$unsorted)) (not (and (tptp.r2_xboole_0 A B) (= (tptp.k4_xboole_0 B A) tptp.k1_xboole_0)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.r1_tarski A (tptp.k4_xboole_0 B C)) (and (tptp.r1_tarski A B) (tptp.r1_xboole_0 A C)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.r1_tarski A (tptp.k5_xboole_0 B C)) (and (tptp.r1_tarski A (tptp.k2_xboole_0 B C)) (tptp.r1_xboole_0 A (tptp.k3_xboole_0 B C))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.r1_tarski A B) (tptp.r1_tarski (tptp.k3_xboole_0 A C) B))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.r1_tarski A B) (tptp.r1_tarski (tptp.k4_xboole_0 A C) B))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.r1_tarski A B) (tptp.r1_tarski C B)) (tptp.r1_tarski (tptp.k5_xboole_0 A C) B))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.k4_xboole_0 (tptp.k3_xboole_0 A B) (tptp.k3_xboole_0 C B)) (tptp.k3_xboole_0 (tptp.k4_xboole_0 A C) B))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.k5_xboole_0 (tptp.k3_xboole_0 A B) (tptp.k3_xboole_0 C B)) (tptp.k3_xboole_0 (tptp.k5_xboole_0 A C) B))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (= (tptp.k2_xboole_0 (tptp.k2_xboole_0 (tptp.k2_xboole_0 A B) C) D) (tptp.k2_xboole_0 A (tptp.k2_xboole_0 (tptp.k2_xboole_0 B C) D)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.r1_xboole_0 A D) (tptp.r1_xboole_0 B D) (tptp.r1_xboole_0 C D)) (tptp.r1_xboole_0 (tptp.k2_xboole_0 (tptp.k2_xboole_0 A B) C) D))) (forall ((A $$unsorted) (B $$unsorted)) (not (tptp.v1_xboole_0 (tptp.k4_tarski A B)))) (forall ((A $$unsorted) (B $$unsorted)) (= (= B (tptp.k1_zfmisc_1 A)) (forall ((C $$unsorted)) (= (tptp.r2_hidden C B) (tptp.r1_tarski C A))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (= C (tptp.k2_zfmisc_1 A B)) (forall ((D $$unsorted)) (= (tptp.r2_hidden D C) (exists ((E $$unsorted) (F $$unsorted)) (and (tptp.r2_hidden E A) (tptp.r2_hidden F B) (= D (tptp.k4_tarski E F)))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.k3_zfmisc_1 A B C) (tptp.k2_zfmisc_1 (tptp.k2_zfmisc_1 A B) C))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (= (tptp.k4_zfmisc_1 A B C D) (tptp.k2_zfmisc_1 (tptp.k3_zfmisc_1 A B C) D))) (= (tptp.k1_zfmisc_1 tptp.k1_xboole_0) _let_7) (= (tptp.k3_tarski tptp.k1_xboole_0) tptp.k1_xboole_0) true true true (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.r1_tarski (tptp.k1_tarski A) (tptp.k1_tarski B)) (= A B))) true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (= (tptp.k1_tarski A) (tptp.k2_tarski B C)) (= A B))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (= (tptp.k1_tarski A) (tptp.k2_tarski B C)) (= B C))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (not (and (= (tptp.k2_tarski A B) (tptp.k2_tarski C D)) (not (= A C)) (not (= A D))))) true (forall ((A $$unsorted) (B $$unsorted)) (tptp.r1_tarski (tptp.k1_tarski A) (tptp.k2_tarski A B))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k1_tarski A))) (=> (= (tptp.k2_xboole_0 _let_1 (tptp.k1_tarski B)) _let_1) (= A B)))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k2_tarski A B))) (= (tptp.k2_xboole_0 (tptp.k1_tarski A) _let_1) _let_1))) true (forall ((A $$unsorted) (B $$unsorted)) (not (and (tptp.r1_xboole_0 (tptp.k1_tarski A) (tptp.k1_tarski B)) (= A B)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (not (= A B)) (tptp.r1_xboole_0 (tptp.k1_tarski A) (tptp.k1_tarski B)))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k1_tarski A))) (=> (= (tptp.k3_xboole_0 _let_1 (tptp.k1_tarski B)) _let_1) (= A B)))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k1_tarski A))) (= (tptp.k3_xboole_0 _let_1 (tptp.k2_tarski A B)) _let_1))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k1_tarski A))) (= (= (tptp.k4_xboole_0 _let_1 (tptp.k1_tarski B)) _let_1) (not (= A B))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (= (tptp.k4_xboole_0 (tptp.k1_tarski A) (tptp.k1_tarski B)) tptp.k1_xboole_0) (= A B))) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.k4_xboole_0 (tptp.k1_tarski A) (tptp.k2_tarski A B)) tptp.k1_xboole_0)) (forall ((A $$unsorted) (B $$unsorted)) (=> (not (= A B)) (= (tptp.k4_xboole_0 (tptp.k2_tarski A B) (tptp.k1_tarski B)) (tptp.k1_tarski A)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.r1_tarski (tptp.k1_tarski A) (tptp.k1_tarski B)) (= A B))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (not (and (tptp.r1_tarski (tptp.k1_tarski A) (tptp.k2_tarski B C)) (not (= A B)) (not (= A C))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.r1_tarski (tptp.k2_tarski A B) (tptp.k1_tarski C)) (= A C))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k1_tarski C))) (let ((_let_2 (tptp.k2_tarski A B))) (=> (tptp.r1_tarski _let_2 _let_1) (= _let_2 _let_1))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (not (and (tptp.r1_tarski (tptp.k2_tarski A B) (tptp.k2_tarski C D)) (not (= A C)) (not (= A D))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (not (= A B)) (= (tptp.k5_xboole_0 (tptp.k1_tarski A) (tptp.k1_tarski B)) (tptp.k2_tarski A B)))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k1_tarski A))) (= (tptp.k1_zfmisc_1 _let_1) (tptp.k2_tarski tptp.k1_xboole_0 _let_1)))) (forall ((A $$unsorted)) (= (tptp.k3_tarski (tptp.k1_tarski A)) A)) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.k3_tarski (tptp.k2_tarski (tptp.k1_tarski A) (tptp.k1_tarski B))) (tptp.k2_tarski A B))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (= (tptp.k4_tarski A B) (tptp.k4_tarski C D)) (and (= A C) (= B D)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (= (tptp.r2_hidden (tptp.k4_tarski A B) (tptp.k2_zfmisc_1 (tptp.k1_tarski C) (tptp.k1_tarski D))) (and (= A C) (= B D)))) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.k2_zfmisc_1 (tptp.k1_tarski A) (tptp.k1_tarski B)) (tptp.k1_tarski (tptp.k4_tarski A B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k4_tarski A C))) (and (= (tptp.k2_zfmisc_1 (tptp.k1_tarski A) (tptp.k2_tarski B C)) (tptp.k2_tarski (tptp.k4_tarski A B) _let_1)) (= (tptp.k2_zfmisc_1 (tptp.k2_tarski A B) (tptp.k1_tarski C)) (tptp.k2_tarski _let_1 (tptp.k4_tarski B C)))))) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.r1_tarski (tptp.k1_tarski A) B) (tptp.r2_hidden A B))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.r1_tarski (tptp.k2_tarski A B) C) (and (tptp.r2_hidden A C) (tptp.r2_hidden B C)))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k1_tarski B))) (= (tptp.r1_tarski A _let_1) (or (= A tptp.k1_xboole_0) (= A _let_1))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.r1_tarski A B) (or (tptp.r2_hidden C A) (tptp.r1_tarski A (tptp.k4_xboole_0 B (tptp.k1_tarski C)))))) (forall ((A $$unsorted) (B $$unsorted)) (not (and (not (= A (tptp.k1_tarski B))) (not (= A tptp.k1_xboole_0)) (forall ((C $$unsorted)) (not (and (tptp.r2_hidden C A) (not (= C B)))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k2_tarski B C))) (= (tptp.r1_tarski A _let_1) (not (and (not (= A tptp.k1_xboole_0)) (not (= A (tptp.k1_tarski B))) (not (= A (tptp.k1_tarski C))) (not (= A _let_1))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k1_tarski A))) (let ((_let_2 (= B _let_1))) (let ((_let_3 (= C _let_1))) (not (and (= _let_1 (tptp.k2_xboole_0 B C)) (not (and _let_2 _let_3)) (not (and (= B tptp.k1_xboole_0) _let_3)) (not (and _let_2 (= C tptp.k1_xboole_0))))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (not (and (= (tptp.k1_tarski A) (tptp.k2_xboole_0 B C)) (not (= B C)) (not (= B tptp.k1_xboole_0)) (not (= C tptp.k1_xboole_0))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.r1_tarski (tptp.k2_xboole_0 (tptp.k1_tarski A) B) B) (tptp.r2_hidden A B))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.r2_hidden A B) (= (tptp.k2_xboole_0 (tptp.k1_tarski A) B) B))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.r1_tarski (tptp.k2_xboole_0 (tptp.k2_tarski A B) C) C) (tptp.r2_hidden A C))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.r2_hidden A B) (tptp.r2_hidden C B)) (= (tptp.k2_xboole_0 (tptp.k2_tarski A C) B) B))) (forall ((A $$unsorted) (B $$unsorted)) (not (= (tptp.k2_xboole_0 (tptp.k1_tarski A) B) tptp.k1_xboole_0))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (not (= (tptp.k2_xboole_0 (tptp.k2_tarski A B) C) tptp.k1_xboole_0))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k1_tarski B))) (=> (= (tptp.k3_xboole_0 A _let_1) _let_1) (tptp.r2_hidden B A)))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k1_tarski A))) (=> (tptp.r2_hidden A B) (= (tptp.k3_xboole_0 B _let_1) _let_1)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k2_tarski A C))) (=> (and (tptp.r2_hidden A B) (tptp.r2_hidden C B)) (= (tptp.k3_xboole_0 _let_1 B) _let_1)))) (forall ((A $$unsorted) (B $$unsorted)) (not (and (tptp.r1_xboole_0 (tptp.k1_tarski A) B) (tptp.r2_hidden A B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (not (and (tptp.r1_xboole_0 (tptp.k2_tarski A B) C) (tptp.r2_hidden A C)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (not (tptp.r2_hidden A B)) (tptp.r1_xboole_0 (tptp.k1_tarski A) B))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (not (and (not (tptp.r2_hidden A B)) (not (tptp.r2_hidden C B)) (not (tptp.r1_xboole_0 (tptp.k2_tarski A C) B))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k1_tarski A))) (or (tptp.r1_xboole_0 _let_1 B) (= (tptp.k3_xboole_0 _let_1 B) _let_1)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (not (and (= (tptp.k3_xboole_0 (tptp.k2_tarski A B) C) (tptp.k1_tarski A)) (tptp.r2_hidden B C) (not (= A B))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.r2_hidden A B) (or (and (tptp.r2_hidden C B) (not (= A C))) (= (tptp.k3_xboole_0 (tptp.k2_tarski A C) B) (tptp.k1_tarski A))))) true true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k2_tarski A B))) (=> (= (tptp.k3_xboole_0 _let_1 C) _let_1) (tptp.r2_hidden A C)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.r2_hidden A (tptp.k4_xboole_0 B (tptp.k1_tarski C))) (and (tptp.r2_hidden A B) (not (= A C))))) (forall ((A $$unsorted) (B $$unsorted)) (= (= (tptp.k4_xboole_0 A (tptp.k1_tarski B)) A) (not (tptp.r2_hidden B A)))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k1_tarski B))) (not (and (= (tptp.k4_xboole_0 A _let_1) tptp.k1_xboole_0) (not (= A tptp.k1_xboole_0)) (not (= A _let_1)))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k1_tarski A))) (= (= (tptp.k4_xboole_0 _let_1 B) _let_1) (not (tptp.r2_hidden A B))))) (forall ((A $$unsorted) (B $$unsorted)) (= (= (tptp.k4_xboole_0 (tptp.k1_tarski A) B) tptp.k1_xboole_0) (tptp.r2_hidden A B))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k1_tarski A))) (let ((_let_2 (tptp.k4_xboole_0 _let_1 B))) (or (= _let_2 tptp.k1_xboole_0) (= _let_2 _let_1))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (= (tptp.k4_xboole_0 (tptp.k2_tarski A B) C) (tptp.k1_tarski A)) (and (not (tptp.r2_hidden A C)) (or (tptp.r2_hidden B C) (= A B))))) true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k2_tarski A B))) (= (= (tptp.k4_xboole_0 _let_1 C) _let_1) (and (not (tptp.r2_hidden A C)) (not (tptp.r2_hidden B C)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (= (tptp.k4_xboole_0 (tptp.k2_tarski A B) C) tptp.k1_xboole_0) (and (tptp.r2_hidden A C) (tptp.r2_hidden B C)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k2_tarski A B))) (let ((_let_2 (tptp.k4_xboole_0 _let_1 C))) (not (and (not (= _let_2 tptp.k1_xboole_0)) (not (= _let_2 (tptp.k1_tarski A))) (not (= _let_2 (tptp.k1_tarski B))) (not (= _let_2 _let_1))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k2_tarski B C))) (= (= (tptp.k4_xboole_0 A _let_1) tptp.k1_xboole_0) (not (and (not (= A tptp.k1_xboole_0)) (not (= A (tptp.k1_tarski B))) (not (= A (tptp.k1_tarski C))) (not (= A _let_1))))))) true true true (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.r1_tarski A B) (tptp.r1_tarski (tptp.k1_zfmisc_1 A) (tptp.k1_zfmisc_1 B)))) (forall ((A $$unsorted)) (tptp.r1_tarski (tptp.k1_tarski A) (tptp.k1_zfmisc_1 A))) (forall ((A $$unsorted) (B $$unsorted)) (tptp.r1_tarski (tptp.k2_xboole_0 (tptp.k1_zfmisc_1 A) (tptp.k1_zfmisc_1 B)) (tptp.k1_zfmisc_1 (tptp.k2_xboole_0 A B)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (= (tptp.k2_xboole_0 (tptp.k1_zfmisc_1 A) (tptp.k1_zfmisc_1 B)) (tptp.k1_zfmisc_1 (tptp.k2_xboole_0 A B))) (tptp.r3_xboole_0 A B))) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.k1_zfmisc_1 (tptp.k3_xboole_0 A B)) (tptp.k3_xboole_0 (tptp.k1_zfmisc_1 A) (tptp.k1_zfmisc_1 B)))) (forall ((A $$unsorted) (B $$unsorted)) (tptp.r1_tarski (tptp.k1_zfmisc_1 (tptp.k4_xboole_0 A B)) (tptp.k2_xboole_0 (tptp.k1_tarski tptp.k1_xboole_0) (tptp.k4_xboole_0 (tptp.k1_zfmisc_1 A) (tptp.k1_zfmisc_1 B))))) true (forall ((A $$unsorted) (B $$unsorted)) (tptp.r1_tarski (tptp.k2_xboole_0 (tptp.k1_zfmisc_1 (tptp.k4_xboole_0 A B)) (tptp.k1_zfmisc_1 (tptp.k4_xboole_0 B A))) (tptp.k1_zfmisc_1 (tptp.k5_xboole_0 A B)))) true true true true true (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.r2_hidden A B) (tptp.r1_tarski A (tptp.k3_tarski B)))) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.k3_tarski (tptp.k2_tarski A B)) (tptp.k2_xboole_0 A B))) (forall ((A $$unsorted) (B $$unsorted)) (=> (forall ((C $$unsorted)) (=> (tptp.r2_hidden C A) (tptp.r1_tarski C B))) (tptp.r1_tarski (tptp.k3_tarski A) B))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.r1_tarski A B) (tptp.r1_tarski (tptp.k3_tarski A) (tptp.k3_tarski B)))) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.k3_tarski (tptp.k2_xboole_0 A B)) (tptp.k2_xboole_0 (tptp.k3_tarski A) (tptp.k3_tarski B)))) (forall ((A $$unsorted) (B $$unsorted)) (tptp.r1_tarski (tptp.k3_tarski (tptp.k3_xboole_0 A B)) (tptp.k3_xboole_0 (tptp.k3_tarski A) (tptp.k3_tarski B)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (forall ((C $$unsorted)) (=> (tptp.r2_hidden C A) (tptp.r1_xboole_0 C B))) (tptp.r1_xboole_0 (tptp.k3_tarski A) B))) (forall ((A $$unsorted)) (= (tptp.k3_tarski (tptp.k1_zfmisc_1 A)) A)) (forall ((A $$unsorted)) (tptp.r1_tarski A (tptp.k1_zfmisc_1 (tptp.k3_tarski A)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (forall ((C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k2_xboole_0 A B))) (=> (and (tptp.r2_hidden C _let_1) (tptp.r2_hidden D _let_1)) (or (= C D) (tptp.r1_xboole_0 C D))))) (= (tptp.k3_tarski (tptp.k3_xboole_0 A B)) (tptp.k3_xboole_0 (tptp.k3_tarski A) (tptp.k3_tarski B))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (not (and (tptp.r2_hidden A (tptp.k2_zfmisc_1 B C)) (forall ((D $$unsorted) (E $$unsorted)) (not (= (tptp.k4_tarski D E) A)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (not (and (tptp.r1_tarski A (tptp.k2_zfmisc_1 B C)) (tptp.r2_hidden D A) (forall ((E $$unsorted) (F $$unsorted)) (not (and (tptp.r2_hidden E B) (tptp.r2_hidden F C) (= D (tptp.k4_tarski E F)))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (not (and (tptp.r2_hidden A (tptp.k3_xboole_0 (tptp.k2_zfmisc_1 B C) (tptp.k2_zfmisc_1 D E))) (forall ((F $$unsorted) (G $$unsorted)) (not (and (= A (tptp.k4_tarski F G)) (tptp.r2_hidden F (tptp.k3_xboole_0 B D)) (tptp.r2_hidden G (tptp.k3_xboole_0 C E)))))))) (forall ((A $$unsorted) (B $$unsorted)) (tptp.r1_tarski (tptp.k2_zfmisc_1 A B) (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 (tptp.k2_xboole_0 A B))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (= (tptp.r2_hidden (tptp.k4_tarski A B) (tptp.k2_zfmisc_1 C D)) (and (tptp.r2_hidden A C) (tptp.r2_hidden B D)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (tptp.r2_hidden (tptp.k4_tarski A B) (tptp.k2_zfmisc_1 C D)) (tptp.r2_hidden (tptp.k4_tarski B A) (tptp.k2_zfmisc_1 D C)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (forall ((E $$unsorted) (F $$unsorted)) (let ((_let_1 (tptp.k4_tarski E F))) (= (tptp.r2_hidden _let_1 (tptp.k2_zfmisc_1 A B)) (tptp.r2_hidden _let_1 (tptp.k2_zfmisc_1 C D))))) (= (tptp.k2_zfmisc_1 A B) (tptp.k2_zfmisc_1 C D)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.r1_tarski A (tptp.k2_zfmisc_1 B C)) (forall ((E $$unsorted) (F $$unsorted)) (let ((_let_1 (tptp.k4_tarski E F))) (=> (tptp.r2_hidden _let_1 A) (tptp.r2_hidden _let_1 D))))) (tptp.r1_tarski A D))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted)) (=> (and (tptp.r1_tarski A (tptp.k2_zfmisc_1 B C)) (tptp.r1_tarski D (tptp.k2_zfmisc_1 E F)) (forall ((G $$unsorted) (H $$unsorted)) (let ((_let_1 (tptp.k4_tarski G H))) (= (tptp.r2_hidden _let_1 A) (tptp.r2_hidden _let_1 D))))) (= A D))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (forall ((C $$unsorted)) (not (and (tptp.r2_hidden C A) (forall ((D $$unsorted) (E $$unsorted)) (not (= C (tptp.k4_tarski D E))))))) (forall ((C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k4_tarski C D))) (=> (tptp.r2_hidden _let_1 A) (tptp.r2_hidden _let_1 B))))) (tptp.r1_tarski A B))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (forall ((C $$unsorted)) (not (and (tptp.r2_hidden C A) (forall ((D $$unsorted) (E $$unsorted)) (not (= C (tptp.k4_tarski D E))))))) (forall ((C $$unsorted)) (not (and (tptp.r2_hidden C B) (forall ((D $$unsorted) (E $$unsorted)) (not (= C (tptp.k4_tarski D E))))))) (forall ((C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k4_tarski C D))) (= (tptp.r2_hidden _let_1 A) (tptp.r2_hidden _let_1 B))))) (= A B))) (forall ((A $$unsorted) (B $$unsorted)) (= (= (tptp.k2_zfmisc_1 A B) tptp.k1_xboole_0) (or (= A tptp.k1_xboole_0) (= B tptp.k1_xboole_0)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (= (tptp.k2_zfmisc_1 A B) (tptp.k2_zfmisc_1 B A)) (or (= A tptp.k1_xboole_0) (= B tptp.k1_xboole_0) (= A B)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (= (tptp.k2_zfmisc_1 A A) (tptp.k2_zfmisc_1 B B)) (= A B))) (forall ((A $$unsorted)) (=> (tptp.r1_tarski A (tptp.k2_zfmisc_1 A A)) (= A tptp.k1_xboole_0))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (not (and (not (= A tptp.k1_xboole_0)) (or (tptp.r1_tarski (tptp.k2_zfmisc_1 B A) (tptp.k2_zfmisc_1 C A)) (tptp.r1_tarski (tptp.k2_zfmisc_1 A B) (tptp.k2_zfmisc_1 A C))) (not (tptp.r1_tarski B C))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.r1_tarski A B) (and (tptp.r1_tarski (tptp.k2_zfmisc_1 A C) (tptp.k2_zfmisc_1 B C)) (tptp.r1_tarski (tptp.k2_zfmisc_1 C A) (tptp.k2_zfmisc_1 C B))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.r1_tarski A B) (tptp.r1_tarski C D)) (tptp.r1_tarski (tptp.k2_zfmisc_1 A C) (tptp.k2_zfmisc_1 B D)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k2_xboole_0 A B))) (and (= (tptp.k2_zfmisc_1 _let_1 C) (tptp.k2_xboole_0 (tptp.k2_zfmisc_1 A C) (tptp.k2_zfmisc_1 B C))) (= (tptp.k2_zfmisc_1 C _let_1) (tptp.k2_xboole_0 (tptp.k2_zfmisc_1 C A) (tptp.k2_zfmisc_1 C B)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (= (tptp.k2_zfmisc_1 (tptp.k2_xboole_0 A B) (tptp.k2_xboole_0 C D)) (tptp.k2_xboole_0 (tptp.k2_xboole_0 (tptp.k2_xboole_0 (tptp.k2_zfmisc_1 A C) (tptp.k2_zfmisc_1 A D)) (tptp.k2_zfmisc_1 B C)) (tptp.k2_zfmisc_1 B D)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k3_xboole_0 A B))) (and (= (tptp.k2_zfmisc_1 _let_1 C) (tptp.k3_xboole_0 (tptp.k2_zfmisc_1 A C) (tptp.k2_zfmisc_1 B C))) (= (tptp.k2_zfmisc_1 C _let_1) (tptp.k3_xboole_0 (tptp.k2_zfmisc_1 C A) (tptp.k2_zfmisc_1 C B)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (= (tptp.k2_zfmisc_1 (tptp.k3_xboole_0 A B) (tptp.k3_xboole_0 C D)) (tptp.k3_xboole_0 (tptp.k2_zfmisc_1 A C) (tptp.k2_zfmisc_1 B D)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.r1_tarski A B) (tptp.r1_tarski C D)) (= (tptp.k3_xboole_0 (tptp.k2_zfmisc_1 A D) (tptp.k2_zfmisc_1 B C)) (tptp.k2_zfmisc_1 A C)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k4_xboole_0 A B))) (and (= (tptp.k2_zfmisc_1 _let_1 C) (tptp.k4_xboole_0 (tptp.k2_zfmisc_1 A C) (tptp.k2_zfmisc_1 B C))) (= (tptp.k2_zfmisc_1 C _let_1) (tptp.k4_xboole_0 (tptp.k2_zfmisc_1 C A) (tptp.k2_zfmisc_1 C B)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (= (tptp.k4_xboole_0 (tptp.k2_zfmisc_1 A B) (tptp.k2_zfmisc_1 C D)) (tptp.k2_xboole_0 (tptp.k2_zfmisc_1 (tptp.k4_xboole_0 A C) B) (tptp.k2_zfmisc_1 A (tptp.k4_xboole_0 B D))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (or (tptp.r1_xboole_0 A B) (tptp.r1_xboole_0 C D)) (tptp.r1_xboole_0 (tptp.k2_zfmisc_1 A C) (tptp.k2_zfmisc_1 B D)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (= (tptp.r2_hidden (tptp.k4_tarski A B) (tptp.k2_zfmisc_1 (tptp.k1_tarski C) D)) (and (= A C) (tptp.r2_hidden B D)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (= (tptp.r2_hidden (tptp.k4_tarski A B) (tptp.k2_zfmisc_1 C (tptp.k1_tarski D))) (and (tptp.r2_hidden A C) (= B D)))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k1_tarski B))) (=> (not (= A tptp.k1_xboole_0)) (and (not (= (tptp.k2_zfmisc_1 _let_1 A) tptp.k1_xboole_0)) (not (= (tptp.k2_zfmisc_1 A _let_1) tptp.k1_xboole_0)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k1_tarski B))) (let ((_let_2 (tptp.k1_tarski A))) (=> (not (= A B)) (and (tptp.r1_xboole_0 (tptp.k2_zfmisc_1 _let_2 C) (tptp.k2_zfmisc_1 _let_1 D)) (tptp.r1_xboole_0 (tptp.k2_zfmisc_1 C _let_2) (tptp.k2_zfmisc_1 D _let_1))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k1_tarski B))) (let ((_let_2 (tptp.k1_tarski A))) (let ((_let_3 (tptp.k2_tarski A B))) (and (= (tptp.k2_zfmisc_1 _let_3 C) (tptp.k2_xboole_0 (tptp.k2_zfmisc_1 _let_2 C) (tptp.k2_zfmisc_1 _let_1 C))) (= (tptp.k2_zfmisc_1 C _let_3) (tptp.k2_xboole_0 (tptp.k2_zfmisc_1 C _let_2) (tptp.k2_zfmisc_1 C _let_1)))))))) true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (= (tptp.k2_zfmisc_1 A B) (tptp.k2_zfmisc_1 C D)) (or (= A tptp.k1_xboole_0) (= B tptp.k1_xboole_0) (and (= A C) (= B D))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (or (tptp.r1_tarski A (tptp.k2_zfmisc_1 A B)) (tptp.r1_tarski A (tptp.k2_zfmisc_1 B A))) (= A tptp.k1_xboole_0))) (forall ((A $$unsorted)) (exists ((B $$unsorted)) (and (tptp.r2_hidden A B) (forall ((C $$unsorted) (D $$unsorted)) (=> (and (tptp.r2_hidden C B) (tptp.r1_tarski D C)) (tptp.r2_hidden D B))) (forall ((C $$unsorted)) (=> (tptp.r2_hidden C B) (tptp.r2_hidden (tptp.k1_zfmisc_1 C) B))) (forall ((C $$unsorted)) (not (and (tptp.r1_tarski C B) (not (tptp.r2_tarski C B)) (not (tptp.r2_hidden C B)))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (=> (and (tptp.r2_hidden A (tptp.k2_zfmisc_1 B C)) (tptp.r2_hidden A (tptp.k2_zfmisc_1 D E))) (tptp.r2_hidden A (tptp.k2_zfmisc_1 (tptp.k3_xboole_0 B D) (tptp.k3_xboole_0 C E))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A B))) (=> (tptp.r1_tarski _let_1 (tptp.k2_zfmisc_1 C D)) (or (= _let_1 tptp.k1_xboole_0) (and (tptp.r1_tarski A C) (tptp.r1_tarski B D)))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (or (tptp.r1_tarski (tptp.k2_zfmisc_1 A B) (tptp.k2_zfmisc_1 C D)) (tptp.r1_tarski (tptp.k2_zfmisc_1 B A) (tptp.k2_zfmisc_1 D C))) (tptp.r1_tarski B D))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k1_tarski A))) (=> (tptp.r2_hidden A B) (= (tptp.k2_xboole_0 (tptp.k4_xboole_0 B _let_1) _let_1) B)))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k1_tarski A))) (=> (not (tptp.r2_hidden A B)) (= (tptp.k4_xboole_0 (tptp.k2_xboole_0 B _let_1) _let_1) B)))) true true true true (forall ((A $$unsorted)) (not (tptp.v1_xboole_0 (tptp.k1_zfmisc_1 A)))) (forall ((A $$unsorted)) (not (tptp.v1_xboole_0 (tptp.k1_tarski A)))) (forall ((A $$unsorted) (B $$unsorted)) (not (tptp.v1_xboole_0 (tptp.k2_tarski A B)))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (exists ((B $$unsorted)) (and (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (not (tptp.v1_xboole_0 B)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (not (tptp.v1_xboole_0 B))) (not (tptp.v1_xboole_0 (tptp.k2_zfmisc_1 A B))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (not (tptp.v1_xboole_0 B)) (not (tptp.v1_xboole_0 C))) (not (tptp.v1_xboole_0 (tptp.k3_zfmisc_1 A B C))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (not (tptp.v1_xboole_0 B)) (not (tptp.v1_xboole_0 C)) (not (tptp.v1_xboole_0 D))) (not (tptp.v1_xboole_0 (tptp.k4_zfmisc_1 A B C D))))) (forall ((A $$unsorted)) (exists ((B $$unsorted)) (and (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (tptp.v1_xboole_0 B)))) true (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.m1_subset_1 B A))) (let ((_let_2 (tptp.v1_xboole_0 A))) (and (=> (not _let_2) (= _let_1 (tptp.r2_hidden B A))) (=> _let_2 (= _let_1 (tptp.v1_xboole_0 B))))))) (forall ((A $$unsorted)) (= (tptp.k1_subset_1 A) tptp.k1_xboole_0)) (forall ((A $$unsorted)) (= (tptp.k2_subset_1 A) A)) true true true (forall ((A $$unsorted)) (tptp.m1_subset_1 tptp.k1_xboole_0 (tptp.k1_zfmisc_1 A))) true true (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 A)) (=> (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D A) (=> (tptp.r2_hidden D B) (tptp.r2_hidden D C)))) (tptp.r1_tarski B C)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 A)) (=> (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D A) (= (tptp.r2_hidden D B) (tptp.r2_hidden D C)))) (= B C)))))) true (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (not (and (not (= B tptp.k1_xboole_0)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C A) (not (tptp.r2_hidden C B)))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (= (tptp.k3_subset_1 A B) (tptp.k4_xboole_0 A B)))) true true true true (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 A)) (=> (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E A) (= (tptp.r2_hidden E B) (or (tptp.r2_hidden E C) (tptp.r2_hidden E D))))) (= B (tptp.k4_subset_1 A C D))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 A)) (=> (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E A) (= (tptp.r2_hidden E B) (and (tptp.r2_hidden E C) (tptp.r2_hidden E D))))) (= B (tptp.k5_subset_1 A C D))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 A)) (=> (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E A) (= (tptp.r2_hidden E B) (and (tptp.r2_hidden E C) (not (tptp.r2_hidden E D)))))) (= B (tptp.k6_subset_1 A C D))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 A)) (=> (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E A) (= (tptp.r2_hidden E B) (not (= (tptp.r2_hidden E C) (tptp.r2_hidden E D)))))) (= B (tptp.k7_subset_1 A C D))))))))) true true (forall ((A $$unsorted)) (= (tptp.k1_subset_1 A) (tptp.k3_subset_1 A (tptp.k2_subset_1 A)))) (forall ((A $$unsorted)) (= (tptp.k2_subset_1 A) (tptp.k3_subset_1 A (tptp.k1_subset_1 A)))) true true (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (= (tptp.k4_subset_1 A B (tptp.k3_subset_1 A B)) (tptp.k2_subset_1 A)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (tptp.r1_xboole_0 B (tptp.k3_subset_1 A B)))) true (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k2_subset_1 A))) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (= (tptp.k4_subset_1 A B _let_1) _let_1)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 A)) (= (tptp.k3_subset_1 A (tptp.k4_subset_1 A B C)) (tptp.k5_subset_1 A (tptp.k3_subset_1 A B) (tptp.k3_subset_1 A C))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 A)) (= (tptp.k3_subset_1 A (tptp.k5_subset_1 A B C)) (tptp.k4_subset_1 A (tptp.k3_subset_1 A B) (tptp.k3_subset_1 A C))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 A)) (= (tptp.r1_tarski B C) (tptp.r1_tarski (tptp.k3_subset_1 A C) (tptp.k3_subset_1 A B))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 A)) (= (tptp.k6_subset_1 A B C) (tptp.k5_subset_1 A B (tptp.k3_subset_1 A C))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 A)) (= (tptp.k3_subset_1 A (tptp.k6_subset_1 A B C)) (tptp.k4_subset_1 A (tptp.k3_subset_1 A B) C)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 A)) (= (tptp.k3_subset_1 A (tptp.k7_subset_1 A B C)) (tptp.k4_subset_1 A (tptp.k5_subset_1 A B C) (tptp.k5_subset_1 A (tptp.k3_subset_1 A B) (tptp.k3_subset_1 A C)))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 A)) (=> (tptp.r1_tarski B (tptp.k3_subset_1 A C)) (tptp.r1_tarski C (tptp.k3_subset_1 A B))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 A)) (=> (tptp.r1_tarski (tptp.k3_subset_1 A B) C) (tptp.r1_tarski (tptp.k3_subset_1 A C) B)))))) true (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (= (tptp.r1_tarski B (tptp.k3_subset_1 A B)) (= B (tptp.k1_subset_1 A))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (= (tptp.r1_tarski (tptp.k3_subset_1 A B) B) (= B (tptp.k2_subset_1 A))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 A)) (=> (and (tptp.r1_tarski B C) (tptp.r1_tarski B (tptp.k3_subset_1 A C))) (= B tptp.k1_xboole_0)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 A)) (tptp.r1_tarski (tptp.k3_subset_1 A (tptp.k4_subset_1 A B C)) (tptp.k3_subset_1 A B)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 A)) (tptp.r1_tarski (tptp.k3_subset_1 A B) (tptp.k3_subset_1 A (tptp.k5_subset_1 A B C))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 A)) (= (tptp.r1_xboole_0 B C) (tptp.r1_tarski B (tptp.k3_subset_1 A C))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 A)) (= (tptp.r1_xboole_0 B (tptp.k3_subset_1 A C)) (tptp.r1_tarski B C)))))) true (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k3_subset_1 A C))) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 A)) (=> (and (tptp.r1_xboole_0 B C) (tptp.r1_xboole_0 (tptp.k3_subset_1 A B) _let_1)) (= B _let_1))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 A)) (=> (and (tptp.r1_tarski B C) (tptp.r1_xboole_0 D C)) (tptp.r1_tarski B (tptp.k3_subset_1 A D))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 A)) (=> (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D B) (tptp.r2_hidden D C))) (tptp.r1_tarski B C)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (=> (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C A) (tptp.r2_hidden C B))) (= A B)))) (forall ((A $$unsorted)) (=> (not (= A tptp.k1_xboole_0)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C A) (=> (not (tptp.r2_hidden C B)) (tptp.r2_hidden C (tptp.k3_subset_1 A B))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 A)) (=> (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D A) (= (tptp.r2_hidden D B) (not (tptp.r2_hidden D C))))) (= B (tptp.k3_subset_1 A C))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 A)) (=> (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D A) (= (not (tptp.r2_hidden D B)) (tptp.r2_hidden D C)))) (= B (tptp.k3_subset_1 A C))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 A)) (=> (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D A) (not (= (tptp.r2_hidden D B) (tptp.r2_hidden D C))))) (= B (tptp.k3_subset_1 A C))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 A)) (not (and (tptp.r2_hidden B (tptp.k3_subset_1 A C)) (tptp.r2_hidden B C))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B A) (=> (not (= A tptp.k1_xboole_0)) (tptp.m1_subset_1 (tptp.k1_tarski B) (tptp.k1_zfmisc_1 A))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C A) (=> (not (= A tptp.k1_xboole_0)) (tptp.m1_subset_1 (tptp.k2_tarski B C) (tptp.k1_zfmisc_1 A))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C A) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D A) (=> (not (= A tptp.k1_xboole_0)) (tptp.m1_subset_1 (tptp.k1_enumset1 B C D) (tptp.k1_zfmisc_1 A))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C A) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D A) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E A) (=> (not (= A tptp.k1_xboole_0)) (tptp.m1_subset_1 (tptp.k2_enumset1 B C D E) (tptp.k1_zfmisc_1 A))))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C A) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D A) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E A) (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F A) (=> (not (= A tptp.k1_xboole_0)) (tptp.m1_subset_1 (tptp.k3_enumset1 B C D E F) (tptp.k1_zfmisc_1 A))))))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C A) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D A) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E A) (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F A) (forall ((G $$unsorted)) (=> (tptp.m1_subset_1 G A) (=> (not (= A tptp.k1_xboole_0)) (tptp.m1_subset_1 (tptp.k4_enumset1 B C D E F G) (tptp.k1_zfmisc_1 A))))))))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C A) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D A) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E A) (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F A) (forall ((G $$unsorted)) (=> (tptp.m1_subset_1 G A) (forall ((H $$unsorted)) (=> (tptp.m1_subset_1 H A) (=> (not (= A tptp.k1_xboole_0)) (tptp.m1_subset_1 (tptp.k5_enumset1 B C D E F G H) (tptp.k1_zfmisc_1 A))))))))))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C A) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D A) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E A) (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F A) (forall ((G $$unsorted)) (=> (tptp.m1_subset_1 G A) (forall ((H $$unsorted)) (=> (tptp.m1_subset_1 H A) (forall ((I $$unsorted)) (=> (tptp.m1_subset_1 I A) (=> (not (= A tptp.k1_xboole_0)) (tptp.m1_subset_1 (tptp.k6_enumset1 B C D E F G H I) (tptp.k1_zfmisc_1 A))))))))))))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.r2_hidden A B) (tptp.m1_subset_1 (tptp.k1_tarski A) (tptp.k1_zfmisc_1 B)))) (forall ((A $$unsorted)) (=> (not true) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B A) (= B (tptp.k8_subset_1 A)))))) (exists ((A $$unsorted)) (and (tptp.m1_subset_1 A (tptp.k1_zfmisc_1 tptp.f1_s1_subset_1)) (forall ((B $$unsorted)) (= (tptp.r2_hidden B A) (and (tptp.r2_hidden B tptp.f1_s1_subset_1) (tptp.p1_s1_subset_1 B)))))) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A (tptp.k1_zfmisc_1 tptp.f1_s2_subset_1)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 tptp.f1_s2_subset_1)) (=> (and (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C tptp.f1_s2_subset_1) (= (tptp.r2_hidden C A) (tptp.p1_s2_subset_1 C)))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C tptp.f1_s2_subset_1) (= (tptp.r2_hidden C B) (tptp.p1_s2_subset_1 C))))) (= A B)))))) (exists ((A $$unsorted)) (and (tptp.m1_subset_1 A (tptp.k1_zfmisc_1 tptp.f1_s3_subset_1)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.f1_s3_subset_1) (= (tptp.r2_hidden B A) (tptp.p1_s3_subset_1 B)))))) (=> (and (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.f1_s4_subset_1) (= (tptp.r2_hidden A tptp.f2_s4_subset_1) (tptp.p1_s4_subset_1 A)))) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.f1_s4_subset_1) (= (tptp.r2_hidden A tptp.f3_s4_subset_1) (tptp.p1_s4_subset_1 A))))) (= tptp.f2_s4_subset_1 tptp.f3_s4_subset_1)) true (forall ((A $$unsorted)) (exists ((B $$unsorted)) (tptp.m1_subset_1 B A))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (not (tptp.v1_xboole_0 B)) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A))) (forall ((C $$unsorted)) (=> (tptp.m2_subset_1 C A B) (tptp.m1_subset_1 C A))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (not (tptp.v1_xboole_0 B)) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A))) (exists ((C $$unsorted)) (tptp.m2_subset_1 C A B)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (not (tptp.v1_xboole_0 B)) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A))) (forall ((C $$unsorted)) (= (tptp.m2_subset_1 C A B) (tptp.m1_subset_1 C B))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (not (tptp.v1_xboole_0 B))) (=> (tptp.r1_subset_1 A B) (tptp.r1_subset_1 B A)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (not (tptp.v1_xboole_0 B))) (not (tptp.r1_subset_1 A A)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (not (tptp.v1_xboole_0 B))) (= (tptp.r1_subset_1 A B) (tptp.r1_xboole_0 A B)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (not (tptp.v1_xboole_0 B))) (=> (tptp.r2_subset_1 A B) (tptp.r2_subset_1 B A)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (not (tptp.v1_xboole_0 B))) (not (tptp.r2_subset_1 A A)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (not (tptp.v1_xboole_0 B))) (= (tptp.r2_subset_1 A B) (tptp.r1_xboole_0 A B)))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k1_subset_1 A))) (and (tptp.v1_xboole_0 _let_1) (tptp.m1_subset_1 _let_1 (tptp.k1_zfmisc_1 A))))) (forall ((A $$unsorted)) (tptp.m1_subset_1 (tptp.k2_subset_1 A) (tptp.k1_zfmisc_1 A))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 A))) (=> (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 (tptp.k3_subset_1 A B) _let_1)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (= (tptp.k3_subset_1 A (tptp.k3_subset_1 A B)) B))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 A))) (=> (and (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (tptp.m1_subset_1 (tptp.k4_subset_1 A B C) _let_1)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 A))) (=> (and (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (= (tptp.k4_subset_1 A B C) (tptp.k4_subset_1 A C B))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 A))) (=> (and (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (= (tptp.k4_subset_1 A B B) B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 A))) (=> (and (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (= (tptp.k4_subset_1 A B C) (tptp.k2_xboole_0 B C))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 A))) (=> (and (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (tptp.m1_subset_1 (tptp.k5_subset_1 A B C) _let_1)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 A))) (=> (and (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (= (tptp.k5_subset_1 A B C) (tptp.k5_subset_1 A C B))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 A))) (=> (and (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (= (tptp.k5_subset_1 A B B) B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 A))) (=> (and (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (= (tptp.k5_subset_1 A B C) (tptp.k3_xboole_0 B C))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 A))) (=> (and (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (tptp.m1_subset_1 (tptp.k6_subset_1 A B C) _let_1)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 A))) (=> (and (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (= (tptp.k6_subset_1 A B C) (tptp.k4_xboole_0 B C))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 A))) (=> (and (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (tptp.m1_subset_1 (tptp.k7_subset_1 A B C) _let_1)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 A))) (=> (and (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (= (tptp.k7_subset_1 A B C) (tptp.k7_subset_1 A C B))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 A))) (=> (and (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (= (tptp.k7_subset_1 A B C) (tptp.k5_xboole_0 B C))))) (forall ((A $$unsorted)) (tptp.m1_subset_1 (tptp.k8_subset_1 A) A)) (forall ((A $$unsorted) (B $$unsorted)) (=> (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_14 _let_25) (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_14 _let_25 _let_24) (exists ((A $$unsorted)) (and (tptp.v1_relat_1 A) (tptp.v3_relat_1 A))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k7_relat_1 A B))) (=> (and (tptp.v1_relat_1 A) (tptp.v3_relat_1 A)) (and (tptp.v1_relat_1 _let_1) (tptp.v3_relat_1 _let_1))))) (forall ((A $$unsorted)) (= (tptp.v1_relat_1 A) (forall ((B $$unsorted)) (not (and (tptp.r2_hidden B A) (forall ((C $$unsorted) (D $$unsorted)) (not (= B (tptp.k4_tarski C D))))))))) true true (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.v1_relat_1 B) (=> (tptp.r1_tarski A B) (tptp.v1_relat_1 A)))) (forall ((A $$unsorted) (B $$unsorted)) (tptp.v1_relat_1 (tptp.k1_tarski (tptp.k4_tarski A B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (tptp.v1_relat_1 (tptp.k2_tarski (tptp.k4_tarski A B) (tptp.k4_tarski C D)))) (forall ((A $$unsorted) (B $$unsorted)) (tptp.v1_relat_1 (tptp.k2_zfmisc_1 A B))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (forall ((B $$unsorted)) (=> (tptp.v1_relat_1 B) (= (= A B) (forall ((C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k4_tarski C D))) (= (tptp.r2_hidden _let_1 A) (tptp.r2_hidden _let_1 B))))))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (forall ((B $$unsorted)) (=> (tptp.v1_relat_1 B) (= (tptp.r1_tarski A B) (forall ((C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k4_tarski C D))) (=> (tptp.r2_hidden _let_1 A) (tptp.r2_hidden _let_1 B))))))))) true true (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.v1_relat_1 B) (tptp.v1_relat_1 (tptp.k3_xboole_0 A B)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.v1_relat_1 B) (tptp.v1_relat_1 (tptp.k4_xboole_0 B A)))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (forall ((B $$unsorted)) (= (= B (tptp.k1_relat_1 A)) (forall ((C $$unsorted)) (= (tptp.r2_hidden C B) (exists ((D $$unsorted)) (tptp.r2_hidden (tptp.k4_tarski C D) A)))))))) true true (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (forall ((B $$unsorted)) (=> (tptp.v1_relat_1 B) (= (tptp.k1_relat_1 (tptp.k2_xboole_0 A B)) (tptp.k2_xboole_0 (tptp.k1_relat_1 A) (tptp.k1_relat_1 B))))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (forall ((B $$unsorted)) (=> (tptp.v1_relat_1 B) (tptp.r1_tarski (tptp.k1_relat_1 (tptp.k3_xboole_0 A B)) (tptp.k3_xboole_0 (tptp.k1_relat_1 A) (tptp.k1_relat_1 B))))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (forall ((B $$unsorted)) (=> (tptp.v1_relat_1 B) (tptp.r1_tarski (tptp.k4_xboole_0 (tptp.k1_relat_1 A) (tptp.k1_relat_1 B)) (tptp.k1_relat_1 (tptp.k4_xboole_0 A B))))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (forall ((B $$unsorted)) (= (= B (tptp.k2_relat_1 A)) (forall ((C $$unsorted)) (= (tptp.r2_hidden C B) (exists ((D $$unsorted)) (tptp.r2_hidden (tptp.k4_tarski D C) A)))))))) true true (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.v1_relat_1 B) (not (and (tptp.r2_hidden A (tptp.k1_relat_1 B)) (forall ((C $$unsorted)) (not (tptp.r2_hidden C (tptp.k2_relat_1 B)))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.v1_relat_1 B) (not (and (tptp.r2_hidden A (tptp.k2_relat_1 B)) (forall ((C $$unsorted)) (not (tptp.r2_hidden C (tptp.k1_relat_1 B)))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.v1_relat_1 C) (=> (tptp.r2_hidden (tptp.k4_tarski A B) C) (and (tptp.r2_hidden A (tptp.k1_relat_1 C)) (tptp.r2_hidden B (tptp.k2_relat_1 C)))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (tptp.r1_tarski A (tptp.k2_zfmisc_1 (tptp.k1_relat_1 A) (tptp.k2_relat_1 A))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (= (tptp.k3_xboole_0 A (tptp.k2_zfmisc_1 (tptp.k1_relat_1 A) (tptp.k2_relat_1 A))) A))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.v1_relat_1 C) (=> (= C (tptp.k1_tarski (tptp.k4_tarski A B))) (and (= (tptp.k1_relat_1 C) (tptp.k1_tarski A)) (= (tptp.k2_relat_1 C) (tptp.k1_tarski B)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (=> (tptp.v1_relat_1 E) (=> (= E (tptp.k2_tarski (tptp.k4_tarski A B) (tptp.k4_tarski C D))) (and (= (tptp.k1_relat_1 E) (tptp.k2_tarski A C)) (= (tptp.k2_relat_1 E) (tptp.k2_tarski B D)))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (forall ((B $$unsorted)) (=> (tptp.v1_relat_1 B) (=> (tptp.r1_tarski A B) (and (tptp.r1_tarski (tptp.k1_relat_1 A) (tptp.k1_relat_1 B)) (tptp.r1_tarski (tptp.k2_relat_1 A) (tptp.k2_relat_1 B)))))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (forall ((B $$unsorted)) (=> (tptp.v1_relat_1 B) (= (tptp.k2_relat_1 (tptp.k2_xboole_0 A B)) (tptp.k2_xboole_0 (tptp.k2_relat_1 A) (tptp.k2_relat_1 B))))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (forall ((B $$unsorted)) (=> (tptp.v1_relat_1 B) (tptp.r1_tarski (tptp.k2_relat_1 (tptp.k3_xboole_0 A B)) (tptp.k3_xboole_0 (tptp.k2_relat_1 A) (tptp.k2_relat_1 B))))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (forall ((B $$unsorted)) (=> (tptp.v1_relat_1 B) (tptp.r1_tarski (tptp.k4_xboole_0 (tptp.k2_relat_1 A) (tptp.k2_relat_1 B)) (tptp.k2_relat_1 (tptp.k4_xboole_0 A B))))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (= (tptp.k3_relat_1 A) (tptp.k2_xboole_0 (tptp.k1_relat_1 A) (tptp.k2_relat_1 A))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k3_relat_1 A))) (=> (tptp.v1_relat_1 A) (and (tptp.r1_tarski (tptp.k1_relat_1 A) _let_1) (tptp.r1_tarski (tptp.k2_relat_1 A) _let_1))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k3_relat_1 C))) (=> (tptp.v1_relat_1 C) (=> (tptp.r2_hidden (tptp.k4_tarski A B) C) (and (tptp.r2_hidden A _let_1) (tptp.r2_hidden B _let_1)))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (forall ((B $$unsorted)) (=> (tptp.v1_relat_1 B) (=> (tptp.r1_tarski A B) (tptp.r1_tarski (tptp.k3_relat_1 A) (tptp.k3_relat_1 B))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.v1_relat_1 C) (=> (= C (tptp.k1_tarski (tptp.k4_tarski A B))) (= (tptp.k3_relat_1 C) (tptp.k2_tarski A B))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (forall ((B $$unsorted)) (=> (tptp.v1_relat_1 B) (= (tptp.k3_relat_1 (tptp.k2_xboole_0 A B)) (tptp.k2_xboole_0 (tptp.k3_relat_1 A) (tptp.k3_relat_1 B))))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (forall ((B $$unsorted)) (=> (tptp.v1_relat_1 B) (tptp.r1_tarski (tptp.k3_relat_1 (tptp.k3_xboole_0 A B)) (tptp.k3_xboole_0 (tptp.k3_relat_1 A) (tptp.k3_relat_1 B))))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (forall ((B $$unsorted)) (=> (tptp.v1_relat_1 B) (= (= B (tptp.k4_relat_1 A)) (forall ((C $$unsorted) (D $$unsorted)) (= (tptp.r2_hidden (tptp.k4_tarski C D) B) (tptp.r2_hidden (tptp.k4_tarski D C) A)))))))) true true (forall ((A $$unsorted)) (let ((_let_1 (tptp.k4_relat_1 A))) (=> (tptp.v1_relat_1 A) (and (= (tptp.k2_relat_1 A) (tptp.k1_relat_1 _let_1)) (= (tptp.k1_relat_1 A) (tptp.k2_relat_1 _let_1)))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (= (tptp.k3_relat_1 A) (tptp.k3_relat_1 (tptp.k4_relat_1 A))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (forall ((B $$unsorted)) (=> (tptp.v1_relat_1 B) (= (tptp.k4_relat_1 (tptp.k3_xboole_0 A B)) (tptp.k3_xboole_0 (tptp.k4_relat_1 A) (tptp.k4_relat_1 B))))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (forall ((B $$unsorted)) (=> (tptp.v1_relat_1 B) (= (tptp.k4_relat_1 (tptp.k2_xboole_0 A B)) (tptp.k2_xboole_0 (tptp.k4_relat_1 A) (tptp.k4_relat_1 B))))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (forall ((B $$unsorted)) (=> (tptp.v1_relat_1 B) (= (tptp.k4_relat_1 (tptp.k4_xboole_0 A B)) (tptp.k4_xboole_0 (tptp.k4_relat_1 A) (tptp.k4_relat_1 B))))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (forall ((B $$unsorted)) (=> (tptp.v1_relat_1 B) (forall ((C $$unsorted)) (=> (tptp.v1_relat_1 C) (= (= C (tptp.k5_relat_1 A B)) (forall ((D $$unsorted) (E $$unsorted)) (= (tptp.r2_hidden (tptp.k4_tarski D E) C) (exists ((F $$unsorted)) (and (tptp.r2_hidden (tptp.k4_tarski D F) A) (tptp.r2_hidden (tptp.k4_tarski F E) B)))))))))))) true true (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (forall ((B $$unsorted)) (=> (tptp.v1_relat_1 B) (tptp.r1_tarski (tptp.k1_relat_1 (tptp.k5_relat_1 A B)) (tptp.k1_relat_1 A)))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (forall ((B $$unsorted)) (=> (tptp.v1_relat_1 B) (tptp.r1_tarski (tptp.k2_relat_1 (tptp.k5_relat_1 A B)) (tptp.k2_relat_1 B)))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (forall ((B $$unsorted)) (=> (tptp.v1_relat_1 B) (=> (tptp.r1_tarski (tptp.k2_relat_1 A) (tptp.k1_relat_1 B)) (= (tptp.k1_relat_1 (tptp.k5_relat_1 A B)) (tptp.k1_relat_1 A))))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (forall ((B $$unsorted)) (=> (tptp.v1_relat_1 B) (=> (tptp.r1_tarski (tptp.k1_relat_1 A) (tptp.k2_relat_1 B)) (= (tptp.k2_relat_1 (tptp.k5_relat_1 B A)) (tptp.k2_relat_1 A))))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (forall ((B $$unsorted)) (=> (tptp.v1_relat_1 B) (forall ((C $$unsorted)) (=> (tptp.v1_relat_1 C) (=> (tptp.r1_tarski A B) (tptp.r1_tarski (tptp.k5_relat_1 C A) (tptp.k5_relat_1 C B))))))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (forall ((B $$unsorted)) (=> (tptp.v1_relat_1 B) (forall ((C $$unsorted)) (=> (tptp.v1_relat_1 C) (=> (tptp.r1_tarski A B) (tptp.r1_tarski (tptp.k5_relat_1 A C) (tptp.k5_relat_1 B C))))))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (forall ((B $$unsorted)) (=> (tptp.v1_relat_1 B) (forall ((C $$unsorted)) (=> (tptp.v1_relat_1 C) (forall ((D $$unsorted)) (=> (tptp.v1_relat_1 D) (=> (and (tptp.r1_tarski A B) (tptp.r1_tarski C D)) (tptp.r1_tarski (tptp.k5_relat_1 A C) (tptp.k5_relat_1 B D))))))))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (forall ((B $$unsorted)) (=> (tptp.v1_relat_1 B) (forall ((C $$unsorted)) (=> (tptp.v1_relat_1 C) (= (tptp.k5_relat_1 A (tptp.k2_xboole_0 B C)) (tptp.k2_xboole_0 (tptp.k5_relat_1 A B) (tptp.k5_relat_1 A C))))))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (forall ((B $$unsorted)) (=> (tptp.v1_relat_1 B) (forall ((C $$unsorted)) (=> (tptp.v1_relat_1 C) (tptp.r1_tarski (tptp.k5_relat_1 A (tptp.k3_xboole_0 B C)) (tptp.k3_xboole_0 (tptp.k5_relat_1 A B) (tptp.k5_relat_1 A C))))))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (forall ((B $$unsorted)) (=> (tptp.v1_relat_1 B) (forall ((C $$unsorted)) (=> (tptp.v1_relat_1 C) (tptp.r1_tarski (tptp.k4_xboole_0 (tptp.k5_relat_1 A B) (tptp.k5_relat_1 A C)) (tptp.k5_relat_1 A (tptp.k4_xboole_0 B C))))))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (forall ((B $$unsorted)) (=> (tptp.v1_relat_1 B) (= (tptp.k4_relat_1 (tptp.k5_relat_1 A B)) (tptp.k5_relat_1 (tptp.k4_relat_1 B) (tptp.k4_relat_1 A))))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (forall ((B $$unsorted)) (=> (tptp.v1_relat_1 B) (forall ((C $$unsorted)) (=> (tptp.v1_relat_1 C) (= (tptp.k5_relat_1 (tptp.k5_relat_1 A B) C) (tptp.k5_relat_1 A (tptp.k5_relat_1 B C))))))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (=> (forall ((B $$unsorted) (C $$unsorted)) (not (tptp.r2_hidden (tptp.k4_tarski B C) A))) (= A tptp.k1_xboole_0)))) true true true (and (= (tptp.k1_relat_1 tptp.k1_xboole_0) tptp.k1_xboole_0) _let_22) true (forall ((A $$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)))) (forall ((A $$unsorted)) (= (tptp.v1_funct_1 A) (forall ((B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.r2_hidden (tptp.k4_tarski B C) A) (tptp.r2_hidden (tptp.k4_tarski B D) A)) (= C D))))) true (forall ((A $$unsorted)) (=> (and (forall ((B $$unsorted)) (not (and (tptp.r2_hidden B A) (forall ((C $$unsorted) (D $$unsorted)) (not (= (tptp.k4_tarski C D) B)))))) (forall ((B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.r2_hidden (tptp.k4_tarski B C) A) (tptp.r2_hidden (tptp.k4_tarski B D) A)) (= C D)))) (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)))) true true (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted) (C $$unsorted)) (let ((_let_1 (= C (tptp.k1_funct_1 A B)))) (let ((_let_2 (tptp.r2_hidden B (tptp.k1_relat_1 A)))) (and (=> _let_2 (= _let_1 (tptp.r2_hidden (tptp.k4_tarski B C) A))) (=> (not _let_2) (= _let_1 (= C tptp.k1_xboole_0))))))))) true true true true true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (= (tptp.r2_hidden (tptp.k4_tarski A B) C) (and (tptp.r2_hidden A (tptp.k1_relat_1 C)) (= B (tptp.k1_funct_1 C A)))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (=> (and (= (tptp.k1_relat_1 A) (tptp.k1_relat_1 B)) (forall ((C $$unsorted)) (=> (tptp.r2_hidden C (tptp.k1_relat_1 A)) (= (tptp.k1_funct_1 A C) (tptp.k1_funct_1 B C))))) (= A B)))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted)) (= (= B (tptp.k2_relat_1 A)) (forall ((C $$unsorted)) (= (tptp.r2_hidden C B) (exists ((D $$unsorted)) (and (tptp.r2_hidden D (tptp.k1_relat_1 A)) (= C (tptp.k1_funct_1 A D)))))))))) true true (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (=> (tptp.r2_hidden A (tptp.k1_relat_1 B)) (tptp.r2_hidden (tptp.k1_funct_1 B A) (tptp.k2_relat_1 B))))) true (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (=> (= (tptp.k1_relat_1 B) (tptp.k1_tarski A)) (= (tptp.k2_relat_1 B) (tptp.k1_tarski (tptp.k1_funct_1 B A)))))) (forall ((A $$unsorted)) (=> (not (= A tptp.k1_xboole_0)) (forall ((B $$unsorted)) (exists ((C $$unsorted)) (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C) (= (tptp.k1_relat_1 C) A) (= (tptp.k2_relat_1 C) (tptp.k1_tarski B))))))) (forall ((A $$unsorted)) (=> (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (forall ((C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (=> (and (= (tptp.k1_relat_1 B) A) (= (tptp.k1_relat_1 C) A)) (= B C)))))) (= A tptp.k1_xboole_0))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k1_tarski A))) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (=> (and (= (tptp.k1_relat_1 B) (tptp.k1_relat_1 C)) (= (tptp.k2_relat_1 B) _let_1) (= (tptp.k2_relat_1 C) _let_1)) (= B C))))))) (forall ((A $$unsorted) (B $$unsorted)) (not (and (not (and (= A tptp.k1_xboole_0) (not (= B tptp.k1_xboole_0)))) (forall ((C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (not (and (= B (tptp.k1_relat_1 C)) (tptp.r1_tarski (tptp.k2_relat_1 C) A)))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (=> (forall ((C $$unsorted)) (not (and (tptp.r2_hidden C A) (forall ((D $$unsorted)) (not (and (tptp.r2_hidden D (tptp.k1_relat_1 B)) (= C (tptp.k1_funct_1 B D)))))))) (tptp.r1_tarski A (tptp.k2_relat_1 B))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (forall ((C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (=> (and (forall ((D $$unsorted)) (= (tptp.r2_hidden D (tptp.k1_relat_1 C)) (and (tptp.r2_hidden D (tptp.k1_relat_1 A)) (tptp.r2_hidden (tptp.k1_funct_1 A D) (tptp.k1_relat_1 B))))) (forall ((D $$unsorted)) (=> (tptp.r2_hidden D (tptp.k1_relat_1 C)) (= (tptp.k1_funct_1 C D) (tptp.k1_funct_1 B (tptp.k1_funct_1 A D)))))) (= C (tptp.k5_relat_1 A B))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (forall ((C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (= (tptp.r2_hidden A (tptp.k1_relat_1 (tptp.k5_relat_1 C B))) (and (tptp.r2_hidden A (tptp.k1_relat_1 C)) (tptp.r2_hidden (tptp.k1_funct_1 C A) (tptp.k1_relat_1 B)))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k5_relat_1 C B))) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (=> (tptp.r2_hidden A (tptp.k1_relat_1 _let_1)) (= (tptp.k1_funct_1 _let_1 A) (tptp.k1_funct_1 B (tptp.k1_funct_1 C A))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (forall ((C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (=> (tptp.r2_hidden A (tptp.k1_relat_1 B)) (= (tptp.k1_funct_1 (tptp.k5_relat_1 B C) A) (tptp.k1_funct_1 C (tptp.k1_funct_1 B A)))))))) true (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (forall ((C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (=> (tptp.r2_hidden A (tptp.k2_relat_1 (tptp.k5_relat_1 C B))) (tptp.r2_hidden A (tptp.k2_relat_1 B))))))) true (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (=> (= (tptp.k1_relat_1 (tptp.k5_relat_1 B A)) (tptp.k1_relat_1 B)) (tptp.r1_tarski (tptp.k2_relat_1 B) (tptp.k1_relat_1 A))))))) true true true true true (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k2_relat_1 B))) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (=> (and (tptp.r1_tarski _let_1 A) (forall ((C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (forall ((D $$unsorted)) (=> (and (tptp.v1_relat_1 D) (tptp.v1_funct_1 D)) (=> (and (= (tptp.k1_relat_1 C) A) (= (tptp.k1_relat_1 D) A) (= (tptp.k5_relat_1 B C) (tptp.k5_relat_1 B D))) (= C D))))))) (= A _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (= (= B (tptp.k6_relat_1 A)) (and (= (tptp.k1_relat_1 B) A) (forall ((C $$unsorted)) (=> (tptp.r2_hidden C A) (= (tptp.k1_funct_1 B C) C))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.r2_hidden B A) (= (tptp.k1_funct_1 (tptp.k6_relat_1 A) B) B))) true (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (= (tptp.k1_relat_1 (tptp.k5_relat_1 (tptp.k6_relat_1 A) B)) (tptp.k3_xboole_0 (tptp.k1_relat_1 B) A)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (=> (tptp.r2_hidden B (tptp.k3_xboole_0 (tptp.k1_relat_1 C) A)) (= (tptp.k1_funct_1 C B) (tptp.k1_funct_1 (tptp.k5_relat_1 (tptp.k6_relat_1 A) C) B))))) true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (= (tptp.r2_hidden B (tptp.k1_relat_1 (tptp.k5_relat_1 C (tptp.k6_relat_1 A)))) (and (tptp.r2_hidden B (tptp.k1_relat_1 C)) (tptp.r2_hidden (tptp.k1_funct_1 C B) A))))) true (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (and (= (tptp.k5_relat_1 (tptp.k6_relat_1 (tptp.k1_relat_1 A)) A) A) (= (tptp.k5_relat_1 A (tptp.k6_relat_1 (tptp.k2_relat_1 A))) A)))) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.k5_relat_1 (tptp.k6_relat_1 B) (tptp.k6_relat_1 A)) (tptp.k6_relat_1 (tptp.k3_xboole_0 A B)))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k1_relat_1 B))) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (=> (and (= (tptp.k2_relat_1 A) _let_1) (= (tptp.k5_relat_1 A B) A)) (= B (tptp.k6_relat_1 _let_1)))))))) true true (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (= (tptp.v2_funct_1 A) (forall ((B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k1_relat_1 A))) (=> (and (tptp.r2_hidden B _let_1) (tptp.r2_hidden C _let_1) (= (tptp.k1_funct_1 A B) (tptp.k1_funct_1 A C))) (= B C))))))) true (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (=> (and (tptp.v2_funct_1 A) (tptp.v2_funct_1 B)) (tptp.v2_funct_1 (tptp.k5_relat_1 A B))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (=> (and (tptp.v2_funct_1 (tptp.k5_relat_1 B A)) (tptp.r1_tarski (tptp.k2_relat_1 B) (tptp.k1_relat_1 A))) (tptp.v2_funct_1 B)))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (=> (and (tptp.v2_funct_1 (tptp.k5_relat_1 B A)) (= (tptp.k2_relat_1 B) (tptp.k1_relat_1 A))) (and (tptp.v2_funct_1 B) (tptp.v2_funct_1 A))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (= (tptp.v2_funct_1 A) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k1_relat_1 A))) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (=> (and (tptp.r1_tarski (tptp.k2_relat_1 B) _let_1) (tptp.r1_tarski (tptp.k2_relat_1 C) _let_1) (= (tptp.k1_relat_1 B) (tptp.k1_relat_1 C)) (= (tptp.k5_relat_1 B A) (tptp.k5_relat_1 C A))) (= B C)))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (forall ((C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (=> (and (= (tptp.k1_relat_1 B) A) (= (tptp.k1_relat_1 C) A) (tptp.r1_tarski (tptp.k2_relat_1 C) A) (tptp.v2_funct_1 B) (= (tptp.k5_relat_1 C B) B)) (= C (tptp.k6_relat_1 A))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (=> (and (= (tptp.k2_relat_1 (tptp.k5_relat_1 B A)) (tptp.k2_relat_1 A)) (tptp.v2_funct_1 A)) (tptp.r1_tarski (tptp.k1_relat_1 A) (tptp.k2_relat_1 B))))))) (forall ((A $$unsorted)) (tptp.v2_funct_1 (tptp.k6_relat_1 A))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (=> (exists ((B $$unsorted)) (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (= (tptp.k5_relat_1 A B) (tptp.k6_relat_1 (tptp.k1_relat_1 A))))) (tptp.v2_funct_1 A)))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (=> (tptp.v2_funct_1 A) (= (tptp.k2_funct_1 A) (tptp.k4_relat_1 A))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (=> (tptp.v2_funct_1 A) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (= (= B (tptp.k2_funct_1 A)) (and (= (tptp.k1_relat_1 B) (tptp.k2_relat_1 A)) (forall ((C $$unsorted) (D $$unsorted)) (let ((_let_1 (and (tptp.r2_hidden C (tptp.k2_relat_1 A)) (= D (tptp.k1_funct_1 B C))))) (let ((_let_2 (and (tptp.r2_hidden D (tptp.k1_relat_1 A)) (= C (tptp.k1_funct_1 A D))))) (and (=> _let_1 _let_2) (=> _let_2 _let_1)))))))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k2_funct_1 A))) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (=> (tptp.v2_funct_1 A) (and (= (tptp.k2_relat_1 A) (tptp.k1_relat_1 _let_1)) (= (tptp.k1_relat_1 A) (tptp.k2_relat_1 _let_1))))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k2_funct_1 B))) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (=> (and (tptp.v2_funct_1 B) (tptp.r2_hidden A (tptp.k1_relat_1 B))) (and (= A (tptp.k1_funct_1 _let_1 (tptp.k1_funct_1 B A))) (= A (tptp.k1_funct_1 (tptp.k5_relat_1 B _let_1) A))))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k2_funct_1 B))) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (=> (and (tptp.v2_funct_1 B) (tptp.r2_hidden A (tptp.k2_relat_1 B))) (and (= A (tptp.k1_funct_1 B (tptp.k1_funct_1 _let_1 A))) (= A (tptp.k1_funct_1 (tptp.k5_relat_1 _let_1 B) A))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k1_relat_1 A))) (let ((_let_2 (tptp.k5_relat_1 A (tptp.k2_funct_1 A)))) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (=> (tptp.v2_funct_1 A) (and (= (tptp.k1_relat_1 _let_2) _let_1) (= (tptp.k2_relat_1 _let_2) _let_1))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k2_relat_1 A))) (let ((_let_2 (tptp.k5_relat_1 (tptp.k2_funct_1 A) A))) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (=> (tptp.v2_funct_1 A) (and (= (tptp.k1_relat_1 _let_2) _let_1) (= (tptp.k2_relat_1 _let_2) _let_1))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (=> (and (tptp.v2_funct_1 A) (= (tptp.k1_relat_1 A) (tptp.k2_relat_1 B)) (= (tptp.k2_relat_1 A) (tptp.k1_relat_1 B)) (forall ((C $$unsorted) (D $$unsorted)) (=> (and (tptp.r2_hidden C (tptp.k1_relat_1 A)) (tptp.r2_hidden D (tptp.k1_relat_1 B))) (= (= (tptp.k1_funct_1 A C) D) (= (tptp.k1_funct_1 B D) C))))) (= B (tptp.k2_funct_1 A))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k2_funct_1 A))) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (=> (tptp.v2_funct_1 A) (and (= (tptp.k5_relat_1 A _let_1) (tptp.k6_relat_1 (tptp.k1_relat_1 A))) (= (tptp.k5_relat_1 _let_1 A) (tptp.k6_relat_1 (tptp.k2_relat_1 A)))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (=> (tptp.v2_funct_1 A) (tptp.v2_funct_1 (tptp.k2_funct_1 A))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (=> (and (tptp.v2_funct_1 A) (= (tptp.k2_relat_1 A) (tptp.k1_relat_1 B)) (= (tptp.k5_relat_1 A B) (tptp.k6_relat_1 (tptp.k1_relat_1 A)))) (= B (tptp.k2_funct_1 A))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (=> (and (tptp.v2_funct_1 A) (= (tptp.k2_relat_1 B) (tptp.k1_relat_1 A)) (= (tptp.k5_relat_1 B A) (tptp.k6_relat_1 (tptp.k2_relat_1 A)))) (= B (tptp.k2_funct_1 A))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (=> (tptp.v2_funct_1 A) (= (tptp.k2_funct_1 (tptp.k2_funct_1 A)) A)))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (=> (and (tptp.v2_funct_1 A) (tptp.v2_funct_1 B)) (= (tptp.k2_funct_1 (tptp.k5_relat_1 A B)) (tptp.k5_relat_1 (tptp.k2_funct_1 B) (tptp.k2_funct_1 A)))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k6_relat_1 A))) (= (tptp.k2_funct_1 _let_1) _let_1))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (forall ((C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (= (= B (tptp.k7_relat_1 C A)) (and (= (tptp.k1_relat_1 B) (tptp.k3_xboole_0 (tptp.k1_relat_1 C) A)) (forall ((D $$unsorted)) (=> (tptp.r2_hidden D (tptp.k1_relat_1 B)) (= (tptp.k1_funct_1 B D) (tptp.k1_funct_1 C D)))))))))) true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k7_relat_1 C A))) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (=> (tptp.r2_hidden B (tptp.k1_relat_1 _let_1)) (= (tptp.k1_funct_1 _let_1 B) (tptp.k1_funct_1 C B)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (=> (tptp.r2_hidden B (tptp.k3_xboole_0 (tptp.k1_relat_1 C) A)) (= (tptp.k1_funct_1 (tptp.k7_relat_1 C A) B) (tptp.k1_funct_1 C B))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (=> (tptp.r2_hidden B A) (= (tptp.k1_funct_1 (tptp.k7_relat_1 C A) B) (tptp.k1_funct_1 C B))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (=> (and (tptp.r2_hidden B (tptp.k1_relat_1 C)) (tptp.r2_hidden B A)) (tptp.r2_hidden (tptp.k1_funct_1 C B) (tptp.k2_relat_1 (tptp.k7_relat_1 C A)))))) true true (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k7_relat_1 B A))) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (and (tptp.r1_tarski (tptp.k1_relat_1 _let_1) (tptp.k1_relat_1 B)) (tptp.r1_tarski (tptp.k2_relat_1 _let_1) (tptp.k2_relat_1 B)))))) true true true true true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k7_relat_1 C A))) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (=> (tptp.r1_tarski A B) (and (= (tptp.k7_relat_1 _let_1 B) _let_1) (= (tptp.k7_relat_1 (tptp.k7_relat_1 C B) A) _let_1)))))) true (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (=> (tptp.v2_funct_1 B) (tptp.v2_funct_1 (tptp.k7_relat_1 B A))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (forall ((C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (= (= B (tptp.k8_relat_1 A C)) (and (forall ((D $$unsorted)) (= (tptp.r2_hidden D (tptp.k1_relat_1 B)) (and (tptp.r2_hidden D (tptp.k1_relat_1 C)) (tptp.r2_hidden (tptp.k1_funct_1 C D) A)))) (forall ((D $$unsorted)) (=> (tptp.r2_hidden D (tptp.k1_relat_1 B)) (= (tptp.k1_funct_1 B D) (tptp.k1_funct_1 C D)))))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (= (tptp.r2_hidden B (tptp.k1_relat_1 (tptp.k8_relat_1 A C))) (and (tptp.r2_hidden B (tptp.k1_relat_1 C)) (tptp.r2_hidden (tptp.k1_funct_1 C B) A))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k8_relat_1 A C))) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (=> (tptp.r2_hidden B (tptp.k1_relat_1 _let_1)) (= (tptp.k1_funct_1 _let_1 B) (tptp.k1_funct_1 C B)))))) true (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k8_relat_1 A B))) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (and (tptp.r1_tarski (tptp.k1_relat_1 _let_1) (tptp.k1_relat_1 B)) (tptp.r1_tarski (tptp.k2_relat_1 _let_1) (tptp.k2_relat_1 B)))))) true true true true true true true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k8_relat_1 A C))) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (=> (tptp.r1_tarski A B) (and (= (tptp.k8_relat_1 B _let_1) _let_1) (= (tptp.k8_relat_1 A (tptp.k8_relat_1 B C)) _let_1)))))) true (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (=> (tptp.v2_funct_1 B) (tptp.v2_funct_1 (tptp.k8_relat_1 A B))))) true true (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted) (C $$unsorted)) (= (= C (tptp.k9_relat_1 A B)) (forall ((D $$unsorted)) (= (tptp.r2_hidden D C) (exists ((E $$unsorted)) (and (tptp.r2_hidden E (tptp.k1_relat_1 A)) (tptp.r2_hidden E B) (= D (tptp.k1_funct_1 A E)))))))))) true true true true true true true true true true true true true true true true true (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (=> (tptp.r2_hidden A (tptp.k1_relat_1 B)) (= (tptp.k9_relat_1 B (tptp.k1_tarski A)) (tptp.k1_tarski (tptp.k1_funct_1 B A)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k1_relat_1 C))) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (=> (and (tptp.r2_hidden A _let_1) (tptp.r2_hidden B _let_1)) (= (tptp.k9_relat_1 C (tptp.k2_tarski A B)) (tptp.k2_tarski (tptp.k1_funct_1 C A) (tptp.k1_funct_1 C B))))))) true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (tptp.r1_tarski (tptp.k9_relat_1 (tptp.k8_relat_1 A C) B) (tptp.k9_relat_1 C B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (=> (tptp.v2_funct_1 C) (= (tptp.k9_relat_1 C (tptp.k3_xboole_0 A B)) (tptp.k3_xboole_0 (tptp.k9_relat_1 C A) (tptp.k9_relat_1 C B)))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (=> (forall ((B $$unsorted) (C $$unsorted)) (= (tptp.k9_relat_1 A (tptp.k3_xboole_0 B C)) (tptp.k3_xboole_0 (tptp.k9_relat_1 A B) (tptp.k9_relat_1 A C)))) (tptp.v2_funct_1 A)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (=> (tptp.v2_funct_1 C) (= (tptp.k9_relat_1 C (tptp.k4_xboole_0 A B)) (tptp.k4_xboole_0 (tptp.k9_relat_1 C A) (tptp.k9_relat_1 C B)))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (=> (forall ((B $$unsorted) (C $$unsorted)) (= (tptp.k9_relat_1 A (tptp.k4_xboole_0 B C)) (tptp.k4_xboole_0 (tptp.k9_relat_1 A B) (tptp.k9_relat_1 A C)))) (tptp.v2_funct_1 A)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (=> (and (tptp.r1_xboole_0 A B) (tptp.v2_funct_1 C)) (tptp.r1_xboole_0 (tptp.k9_relat_1 C A) (tptp.k9_relat_1 C B))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (= (tptp.k9_relat_1 (tptp.k8_relat_1 A C) B) (tptp.k3_xboole_0 A (tptp.k9_relat_1 C B))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted) (C $$unsorted)) (= (= C (tptp.k10_relat_1 A B)) (forall ((D $$unsorted)) (= (tptp.r2_hidden D C) (and (tptp.r2_hidden D (tptp.k1_relat_1 A)) (tptp.r2_hidden (tptp.k1_funct_1 A D) B)))))))) true true true true true true true true true true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (= (tptp.k10_relat_1 C (tptp.k3_xboole_0 A B)) (tptp.k3_xboole_0 (tptp.k10_relat_1 C A) (tptp.k10_relat_1 C B))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (= (tptp.k10_relat_1 C (tptp.k4_xboole_0 A B)) (tptp.k4_xboole_0 (tptp.k10_relat_1 C A) (tptp.k10_relat_1 C B))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.v1_relat_1 C) (= (tptp.k10_relat_1 (tptp.k7_relat_1 C A) B) (tptp.k3_xboole_0 A (tptp.k10_relat_1 C B))))) true true (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.v1_relat_1 B) (= (tptp.r2_hidden A (tptp.k2_relat_1 B)) (not (= (tptp.k10_relat_1 B (tptp.k1_tarski A)) tptp.k1_xboole_0))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.v1_relat_1 B) (=> (forall ((C $$unsorted)) (not (and (tptp.r2_hidden C A) (= (tptp.k10_relat_1 B (tptp.k1_tarski C)) tptp.k1_xboole_0)))) (tptp.r1_tarski A (tptp.k2_relat_1 B))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (= (forall ((B $$unsorted)) (not (and (tptp.r2_hidden B (tptp.k2_relat_1 A)) (forall ((C $$unsorted)) (not (= (tptp.k10_relat_1 A (tptp.k1_tarski B)) (tptp.k1_tarski C))))))) (tptp.v2_funct_1 A)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (tptp.r1_tarski (tptp.k9_relat_1 B (tptp.k10_relat_1 B A)) A))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.v1_relat_1 B) (=> (tptp.r1_tarski A (tptp.k1_relat_1 B)) (tptp.r1_tarski A (tptp.k10_relat_1 B (tptp.k9_relat_1 B A)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (=> (tptp.r1_tarski A (tptp.k2_relat_1 B)) (= (tptp.k9_relat_1 B (tptp.k10_relat_1 B A)) A)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (= (tptp.k9_relat_1 B (tptp.k10_relat_1 B A)) (tptp.k3_xboole_0 A (tptp.k9_relat_1 B (tptp.k1_relat_1 B)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (tptp.r1_tarski (tptp.k9_relat_1 C (tptp.k3_xboole_0 A (tptp.k10_relat_1 C B))) (tptp.k3_xboole_0 (tptp.k9_relat_1 C A) B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (= (tptp.k9_relat_1 C (tptp.k3_xboole_0 A (tptp.k10_relat_1 C B))) (tptp.k3_xboole_0 (tptp.k9_relat_1 C A) B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.v1_relat_1 C) (tptp.r1_tarski (tptp.k3_xboole_0 A (tptp.k10_relat_1 C B)) (tptp.k10_relat_1 C (tptp.k3_xboole_0 (tptp.k9_relat_1 C A) B))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (=> (tptp.v2_funct_1 B) (tptp.r1_tarski (tptp.k10_relat_1 B (tptp.k9_relat_1 B A)) A)))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (=> (forall ((B $$unsorted)) (tptp.r1_tarski (tptp.k10_relat_1 A (tptp.k9_relat_1 A B)) B)) (tptp.v2_funct_1 A)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (=> (tptp.v2_funct_1 B) (= (tptp.k9_relat_1 B A) (tptp.k10_relat_1 (tptp.k2_funct_1 B) A))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (=> (tptp.v2_funct_1 B) (= (tptp.k10_relat_1 B A) (tptp.k9_relat_1 (tptp.k2_funct_1 B) A))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (forall ((C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (forall ((D $$unsorted)) (=> (and (tptp.v1_relat_1 D) (tptp.v1_funct_1 D)) (=> (and (= A (tptp.k2_relat_1 B)) (= (tptp.k1_relat_1 C) A) (= (tptp.k1_relat_1 D) A) (= (tptp.k5_relat_1 B C) (tptp.k5_relat_1 B D))) (= C D)))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (=> (and (tptp.r1_tarski (tptp.k9_relat_1 C A) (tptp.k9_relat_1 C B)) (tptp.r1_tarski A (tptp.k1_relat_1 C)) (tptp.v2_funct_1 C)) (tptp.r1_tarski A B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (=> (and (tptp.r1_tarski (tptp.k10_relat_1 C A) (tptp.k10_relat_1 C B)) (tptp.r1_tarski A (tptp.k2_relat_1 C))) (tptp.r1_tarski A B)))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (= (tptp.v2_funct_1 A) (forall ((B $$unsorted)) (exists ((C $$unsorted)) (tptp.r1_tarski (tptp.k10_relat_1 A (tptp.k1_tarski B)) (tptp.k1_tarski C))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.v1_relat_1 B) (forall ((C $$unsorted)) (=> (tptp.v1_relat_1 C) (=> (tptp.r1_tarski (tptp.k2_relat_1 B) (tptp.k1_relat_1 C)) (tptp.r1_tarski (tptp.k10_relat_1 B A) (tptp.k10_relat_1 (tptp.k5_relat_1 B C) (tptp.k9_relat_1 C A)))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k2_relat_1 C))) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (=> (and (= (tptp.k10_relat_1 C A) (tptp.k10_relat_1 C B)) (tptp.r1_tarski A _let_1) (tptp.r1_tarski B _let_1)) (= A B))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (= (tptp.k9_relat_1 (tptp.k6_relat_1 A) B) B))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (= (tptp.v3_relat_1 A) (forall ((B $$unsorted)) (=> (tptp.r2_hidden B (tptp.k1_relat_1 A)) (tptp.v1_xboole_0 (tptp.k1_funct_1 A B))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (= (tptp.v2_relat_1 A) (forall ((B $$unsorted)) (not (and (tptp.r2_hidden B (tptp.k1_relat_1 A)) (tptp.v1_xboole_0 (tptp.k1_funct_1 A B)))))))) (=> (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.p1_s1_funct_1 A B) (tptp.p1_s1_funct_1 A C)) (= B C))) (exists ((A $$unsorted)) (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (forall ((B $$unsorted) (C $$unsorted)) (= (tptp.r2_hidden (tptp.k4_tarski B C) A) (and (tptp.r2_hidden B tptp.f1_s1_funct_1) (tptp.p1_s1_funct_1 B C))))))) (=> (and (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.r2_hidden A tptp.f1_s2_funct_1) (tptp.p1_s2_funct_1 A B) (tptp.p1_s2_funct_1 A C)) (= B C))) (forall ((A $$unsorted)) (not (and (tptp.r2_hidden A tptp.f1_s2_funct_1) (forall ((B $$unsorted)) (not (tptp.p1_s2_funct_1 A B))))))) (exists ((A $$unsorted)) (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (= (tptp.k1_relat_1 A) tptp.f1_s2_funct_1) (forall ((B $$unsorted)) (=> (tptp.r2_hidden B tptp.f1_s2_funct_1) (tptp.p1_s2_funct_1 B (tptp.k1_funct_1 A B))))))) (exists ((A $$unsorted)) (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (= (tptp.k1_relat_1 A) tptp.f1_s3_funct_1) (forall ((B $$unsorted)) (=> (tptp.r2_hidden B tptp.f1_s3_funct_1) (= (tptp.k1_funct_1 A B) (tptp.f2_s3_funct_1 B)))))) (exists ((A $$unsorted)) (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (= (tptp.k1_relat_1 A) tptp.f1_s4_funct_1) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.f1_s4_funct_1) (= (tptp.k1_funct_1 A B) (tptp.f2_s4_funct_1 B)))))) true (forall ((A $$unsorted)) (let ((_let_1 (tptp.k2_funct_1 A))) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (and (tptp.v1_relat_1 _let_1) (tptp.v1_funct_1 _let_1))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (forall ((B $$unsorted)) (= (tptp.r1_relat_2 A B) (forall ((C $$unsorted)) (=> (tptp.r2_hidden C B) (tptp.r2_hidden (tptp.k4_tarski C C) A))))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (forall ((B $$unsorted)) (= (tptp.r2_relat_2 A B) (forall ((C $$unsorted)) (not (and (tptp.r2_hidden C B) (tptp.r2_hidden (tptp.k4_tarski C C) A)))))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (forall ((B $$unsorted)) (= (tptp.r3_relat_2 A B) (forall ((C $$unsorted) (D $$unsorted)) (=> (and (tptp.r2_hidden C B) (tptp.r2_hidden D B) (tptp.r2_hidden (tptp.k4_tarski C D) A)) (tptp.r2_hidden (tptp.k4_tarski D C) A))))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (forall ((B $$unsorted)) (= (tptp.r4_relat_2 A B) (forall ((C $$unsorted) (D $$unsorted)) (=> (and (tptp.r2_hidden C B) (tptp.r2_hidden D B) (tptp.r2_hidden (tptp.k4_tarski C D) A) (tptp.r2_hidden (tptp.k4_tarski D C) A)) (= C D))))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (forall ((B $$unsorted)) (= (tptp.r5_relat_2 A B) (forall ((C $$unsorted) (D $$unsorted)) (not (and (tptp.r2_hidden C B) (tptp.r2_hidden D B) (tptp.r2_hidden (tptp.k4_tarski C D) A) (tptp.r2_hidden (tptp.k4_tarski D C) A)))))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (forall ((B $$unsorted)) (= (tptp.r6_relat_2 A B) (forall ((C $$unsorted) (D $$unsorted)) (not (and (tptp.r2_hidden C B) (tptp.r2_hidden D B) (not (= C D)) (not (tptp.r2_hidden (tptp.k4_tarski C D) A)) (not (tptp.r2_hidden (tptp.k4_tarski D C) A))))))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (forall ((B $$unsorted)) (= (tptp.r7_relat_2 A B) (forall ((C $$unsorted) (D $$unsorted)) (not (and (tptp.r2_hidden C B) (tptp.r2_hidden D B) (not (tptp.r2_hidden (tptp.k4_tarski C D) A)) (not (tptp.r2_hidden (tptp.k4_tarski D C) A))))))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (forall ((B $$unsorted)) (= (tptp.r8_relat_2 A B) (forall ((C $$unsorted) (D $$unsorted) (E $$unsorted)) (=> (and (tptp.r2_hidden C B) (tptp.r2_hidden D B) (tptp.r2_hidden E B) (tptp.r2_hidden (tptp.k4_tarski C D) A) (tptp.r2_hidden (tptp.k4_tarski D E) A)) (tptp.r2_hidden (tptp.k4_tarski C E) A))))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (= (tptp.v1_relat_2 A) (tptp.r1_relat_2 A (tptp.k3_relat_1 A))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (= (tptp.v2_relat_2 A) (tptp.r2_relat_2 A (tptp.k3_relat_1 A))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (= (tptp.v3_relat_2 A) (tptp.r3_relat_2 A (tptp.k3_relat_1 A))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (= (tptp.v4_relat_2 A) (tptp.r4_relat_2 A (tptp.k3_relat_1 A))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (= (tptp.v5_relat_2 A) (tptp.r5_relat_2 A (tptp.k3_relat_1 A))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (= (tptp.v6_relat_2 A) (tptp.r6_relat_2 A (tptp.k3_relat_1 A))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (= (tptp.v7_relat_2 A) (tptp.r7_relat_2 A (tptp.k3_relat_1 A))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (= (tptp.v8_relat_2 A) (tptp.r8_relat_2 A (tptp.k3_relat_1 A))))) true true true true true true true true true true true true true true true true (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (= (tptp.v1_relat_2 A) (tptp.r1_tarski (tptp.k6_relat_1 (tptp.k3_relat_1 A)) A)))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (= (tptp.v2_relat_2 A) (tptp.r1_xboole_0 (tptp.k6_relat_1 (tptp.k3_relat_1 A)) A)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.v1_relat_1 B) (= (tptp.r4_relat_2 B A) (tptp.r5_relat_2 (tptp.k4_xboole_0 B (tptp.k6_relat_1 A)) A)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.v1_relat_1 B) (=> (tptp.r5_relat_2 B A) (tptp.r4_relat_2 (tptp.k2_xboole_0 B (tptp.k6_relat_1 A)) A)))) true (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (=> (and (tptp.v3_relat_2 A) (tptp.v8_relat_2 A)) (tptp.v1_relat_2 A)))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k6_relat_1 A))) (and (tptp.v3_relat_2 _let_1) (tptp.v8_relat_2 _let_1)))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k6_relat_1 A))) (and (tptp.v4_relat_2 _let_1) (tptp.v1_relat_2 _let_1)))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (=> (and (tptp.v2_relat_2 A) (tptp.v8_relat_2 A)) (tptp.v5_relat_2 A)))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (=> (tptp.v5_relat_2 A) (and (tptp.v2_relat_2 A) (tptp.v4_relat_2 A))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (=> (tptp.v1_relat_2 A) (tptp.v1_relat_2 (tptp.k4_relat_1 A))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (=> (tptp.v2_relat_2 A) (tptp.v2_relat_2 (tptp.k4_relat_1 A))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k4_relat_1 A))) (=> (tptp.v1_relat_1 A) (=> (tptp.v1_relat_2 A) (and (= (tptp.k1_relat_1 A) (tptp.k1_relat_1 _let_1)) (= (tptp.k2_relat_1 A) (tptp.k2_relat_1 _let_1))))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (= (tptp.v3_relat_2 A) (= A (tptp.k4_relat_1 A))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (forall ((B $$unsorted)) (=> (tptp.v1_relat_1 B) (=> (and (tptp.v1_relat_2 A) (tptp.v1_relat_2 B)) (and (tptp.v1_relat_2 (tptp.k2_xboole_0 A B)) (tptp.v1_relat_2 (tptp.k3_xboole_0 A B)))))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (forall ((B $$unsorted)) (=> (tptp.v1_relat_1 B) (=> (and (tptp.v2_relat_2 A) (tptp.v2_relat_2 B)) (and (tptp.v2_relat_2 (tptp.k2_xboole_0 A B)) (tptp.v2_relat_2 (tptp.k3_xboole_0 A B)))))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (forall ((B $$unsorted)) (=> (tptp.v1_relat_1 B) (=> (tptp.v2_relat_2 A) (tptp.v2_relat_2 (tptp.k4_xboole_0 A B))))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (=> (tptp.v3_relat_2 A) (tptp.v3_relat_2 (tptp.k4_relat_1 A))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (forall ((B $$unsorted)) (=> (tptp.v1_relat_1 B) (=> (and (tptp.v3_relat_2 A) (tptp.v3_relat_2 B)) (and (tptp.v3_relat_2 (tptp.k2_xboole_0 A B)) (tptp.v3_relat_2 (tptp.k3_xboole_0 A B)) (tptp.v3_relat_2 (tptp.k4_xboole_0 A B)))))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (=> (tptp.v5_relat_2 A) (tptp.v5_relat_2 (tptp.k4_relat_1 A))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (forall ((B $$unsorted)) (=> (tptp.v1_relat_1 B) (=> (and (tptp.v5_relat_2 A) (tptp.v5_relat_2 B)) (tptp.v5_relat_2 (tptp.k3_xboole_0 A B))))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (forall ((B $$unsorted)) (=> (tptp.v1_relat_1 B) (=> (tptp.v5_relat_2 A) (tptp.v5_relat_2 (tptp.k4_xboole_0 A B))))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (= (tptp.v4_relat_2 A) (tptp.r1_tarski (tptp.k3_xboole_0 A (tptp.k4_relat_1 A)) (tptp.k6_relat_1 (tptp.k1_relat_1 A)))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (=> (tptp.v4_relat_2 A) (tptp.v4_relat_2 (tptp.k4_relat_1 A))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (forall ((B $$unsorted)) (=> (tptp.v1_relat_1 B) (=> (tptp.v4_relat_2 A) (and (tptp.v4_relat_2 (tptp.k3_xboole_0 A B)) (tptp.v4_relat_2 (tptp.k4_xboole_0 A B)))))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (=> (tptp.v8_relat_2 A) (tptp.v8_relat_2 (tptp.k4_relat_1 A))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (forall ((B $$unsorted)) (=> (tptp.v1_relat_1 B) (=> (and (tptp.v8_relat_2 A) (tptp.v8_relat_2 B)) (tptp.v8_relat_2 (tptp.k3_xboole_0 A B))))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (= (tptp.v8_relat_2 A) (tptp.r1_tarski (tptp.k5_relat_1 A A) A)))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k3_relat_1 A))) (=> (tptp.v1_relat_1 A) (= (tptp.v6_relat_2 A) (tptp.r1_tarski (tptp.k4_xboole_0 (tptp.k2_zfmisc_1 _let_1 _let_1) (tptp.k6_relat_1 _let_1)) (tptp.k2_xboole_0 A (tptp.k4_relat_1 A))))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (=> (tptp.v7_relat_2 A) (and (tptp.v6_relat_2 A) (tptp.v1_relat_2 A))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k3_relat_1 A))) (=> (tptp.v1_relat_1 A) (= (tptp.v7_relat_2 A) (= (tptp.k2_zfmisc_1 _let_1 _let_1) (tptp.k2_xboole_0 A (tptp.k4_relat_1 A))))))) (forall ((A $$unsorted)) (not (tptp.v1_xboole_0 (tptp.k1_ordinal1 A)))) (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (and (tptp.v1_ordinal1 A) (tptp.v2_ordinal1 A)))) (forall ((A $$unsorted)) (=> (and (tptp.v1_ordinal1 A) (tptp.v2_ordinal1 A)) (tptp.v3_ordinal1 A))) (exists ((A $$unsorted)) (and (tptp.v1_ordinal1 A) (tptp.v2_ordinal1 A) (tptp.v3_ordinal1 A))) (exists ((A $$unsorted)) (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v2_funct_1 A) (tptp.v1_xboole_0 A) (tptp.v1_ordinal1 A) (tptp.v2_ordinal1 A) (tptp.v3_ordinal1 A))) (forall ((A $$unsorted)) (=> (tptp.v1_xboole_0 A) (and (tptp.v1_ordinal1 A) (tptp.v2_ordinal1 A) (tptp.v3_ordinal1 A)))) (and _let_25 _let_24 (tptp.v1_funct_1 tptp.k1_xboole_0) (tptp.v2_funct_1 tptp.k1_xboole_0) _let_14 (tptp.v1_ordinal1 tptp.k1_xboole_0) (tptp.v2_ordinal1 tptp.k1_xboole_0) _let_23) (exists ((A $$unsorted)) (and (not (tptp.v1_xboole_0 A)) (tptp.v1_ordinal1 A) (tptp.v2_ordinal1 A) (tptp.v3_ordinal1 A))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k1_ordinal1 A))) (=> (tptp.v3_ordinal1 A) (and (not (tptp.v1_xboole_0 _let_1)) (tptp.v1_ordinal1 _let_1) (tptp.v2_ordinal1 _let_1) (tptp.v3_ordinal1 _let_1))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k3_tarski A))) (=> (tptp.v3_ordinal1 A) (and (tptp.v1_ordinal1 _let_1) (tptp.v2_ordinal1 _let_1) (tptp.v3_ordinal1 _let_1))))) (exists ((A $$unsorted)) (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v5_ordinal1 A))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k1_relat_1 A))) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v5_ordinal1 A)) (and (tptp.v1_ordinal1 _let_1) (tptp.v2_ordinal1 _let_1) (tptp.v3_ordinal1 _let_1))))) true true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (not (and (tptp.r2_hidden A B) (tptp.r2_hidden B C) (tptp.r2_hidden C A)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (not (and (tptp.r2_hidden A B) (tptp.r2_hidden B C) (tptp.r2_hidden C D) (tptp.r2_hidden D A)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (not (and (tptp.r2_hidden A B) (tptp.r2_hidden B C) (tptp.r2_hidden C D) (tptp.r2_hidden D E) (tptp.r2_hidden E A)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted)) (not (and (tptp.r2_hidden A B) (tptp.r2_hidden B C) (tptp.r2_hidden C D) (tptp.r2_hidden D E) (tptp.r2_hidden E F) (tptp.r2_hidden F A)))) (forall ((A $$unsorted) (B $$unsorted)) (not (and (tptp.r2_hidden A B) (tptp.r1_tarski B A)))) (forall ((A $$unsorted)) (= (tptp.k1_ordinal1 A) (tptp.k2_xboole_0 A (tptp.k1_tarski A)))) true true (forall ((A $$unsorted)) (tptp.r2_hidden A (tptp.k1_ordinal1 A))) true (forall ((A $$unsorted) (B $$unsorted)) (=> (= (tptp.k1_ordinal1 A) (tptp.k1_ordinal1 B)) (= A B))) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.r2_hidden A (tptp.k1_ordinal1 B)) (or (tptp.r2_hidden A B) (= A B)))) (forall ((A $$unsorted)) (not (= A (tptp.k1_ordinal1 A)))) (forall ((A $$unsorted)) (= (tptp.v1_ordinal1 A) (forall ((B $$unsorted)) (=> (tptp.r2_hidden B A) (tptp.r1_tarski B A))))) (forall ((A $$unsorted)) (= (tptp.v2_ordinal1 A) (forall ((B $$unsorted) (C $$unsorted)) (not (and (tptp.r2_hidden B A) (tptp.r2_hidden C A) (not (tptp.r2_hidden B C)) (not (= B C)) (not (tptp.r2_hidden C B))))))) (forall ((A $$unsorted)) (= (tptp.v3_ordinal1 A) (and (tptp.v1_ordinal1 A) (tptp.v2_ordinal1 A)))) true true true true (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (forall ((B $$unsorted)) (=> (tptp.v3_ordinal1 B) (forall ((C $$unsorted)) (=> (tptp.v1_ordinal1 C) (=> (and (tptp.r2_hidden C A) (tptp.r2_hidden A B)) (tptp.r2_hidden C B)))))))) true (forall ((A $$unsorted)) (=> (tptp.v1_ordinal1 A) (forall ((B $$unsorted)) (=> (tptp.v3_ordinal1 B) (=> (tptp.r2_xboole_0 A B) (tptp.r2_hidden A B)))))) (forall ((A $$unsorted)) (=> (tptp.v1_ordinal1 A) (forall ((B $$unsorted)) (=> (tptp.v3_ordinal1 B) (forall ((C $$unsorted)) (=> (tptp.v3_ordinal1 C) (=> (and (tptp.r1_tarski A B) (tptp.r2_hidden B C)) (tptp.r2_hidden A C)))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.v3_ordinal1 B) (=> (tptp.r2_hidden A B) (tptp.v3_ordinal1 A)))) (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (forall ((B $$unsorted)) (=> (tptp.v3_ordinal1 B) (not (and (not (tptp.r2_hidden A B)) (not (= A B)) (not (tptp.r2_hidden B A)))))))) (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (forall ((B $$unsorted)) (=> (tptp.v3_ordinal1 B) (tptp.r3_xboole_0 A B))))) (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (forall ((B $$unsorted)) (=> (tptp.v3_ordinal1 B) (or (tptp.r1_ordinal1 A B) (tptp.r2_hidden B A)))))) _let_23 true (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (tptp.v3_ordinal1 (tptp.k1_ordinal1 A)))) (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (tptp.v3_ordinal1 (tptp.k3_tarski A)))) (forall ((A $$unsorted)) (=> (forall ((B $$unsorted)) (=> (tptp.r2_hidden B A) (and (tptp.v3_ordinal1 B) (tptp.r1_tarski B A)))) (tptp.v3_ordinal1 A))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.v3_ordinal1 B) (not (and (tptp.r1_tarski A B) (not (= A tptp.k1_xboole_0)) (forall ((C $$unsorted)) (=> (tptp.v3_ordinal1 C) (not (and (tptp.r2_hidden C A) (forall ((D $$unsorted)) (=> (tptp.v3_ordinal1 D) (=> (tptp.r2_hidden D A) (tptp.r1_ordinal1 C D)))))))))))) (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (forall ((B $$unsorted)) (=> (tptp.v3_ordinal1 B) (= (tptp.r2_hidden A B) (tptp.r1_ordinal1 (tptp.k1_ordinal1 A) B)))))) (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (forall ((B $$unsorted)) (=> (tptp.v3_ordinal1 B) (= (tptp.r2_hidden A (tptp.k1_ordinal1 B)) (tptp.r1_ordinal1 A B)))))) (forall ((A $$unsorted)) (=> (forall ((B $$unsorted)) (=> (tptp.r2_hidden B A) (tptp.v3_ordinal1 B))) (tptp.v3_ordinal1 (tptp.k3_tarski A)))) (forall ((A $$unsorted)) (not (and (forall ((B $$unsorted)) (=> (tptp.r2_hidden B A) (tptp.v3_ordinal1 B))) (forall ((B $$unsorted)) (=> (tptp.v3_ordinal1 B) (not (tptp.r1_tarski A B))))))) (forall ((A $$unsorted)) (not (forall ((B $$unsorted)) (= (tptp.r2_hidden B A) (tptp.v3_ordinal1 B))))) (forall ((A $$unsorted)) (not (forall ((B $$unsorted)) (=> (tptp.v3_ordinal1 B) (tptp.r2_hidden B A))))) (forall ((A $$unsorted)) (exists ((B $$unsorted)) (and (tptp.v3_ordinal1 B) (not (tptp.r2_hidden B A)) (forall ((C $$unsorted)) (=> (tptp.v3_ordinal1 C) (=> (not (tptp.r2_hidden C A)) (tptp.r1_ordinal1 B C))))))) true (forall ((A $$unsorted)) (= (tptp.v4_ordinal1 A) (= A (tptp.k3_tarski A)))) true (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (= (tptp.v4_ordinal1 A) (forall ((B $$unsorted)) (=> (tptp.v3_ordinal1 B) (=> (tptp.r2_hidden B A) (tptp.r2_hidden (tptp.k1_ordinal1 B) A))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.v4_ordinal1 A))) (=> (tptp.v3_ordinal1 A) (and (not (and (not _let_1) (forall ((B $$unsorted)) (=> (tptp.v3_ordinal1 B) (not (= A (tptp.k1_ordinal1 B))))))) (not (and (exists ((B $$unsorted)) (and (tptp.v3_ordinal1 B) (= A (tptp.k1_ordinal1 B)))) _let_1)))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (= (tptp.v5_ordinal1 A) (tptp.v3_ordinal1 (tptp.k1_relat_1 A))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (tptp.v5_ordinal1 B)) (= (tptp.m1_ordinal1 B A) (tptp.r1_tarski (tptp.k2_relat_1 B) A)))) true true (forall ((A $$unsorted)) (tptp.m1_ordinal1 tptp.k1_xboole_0 A)) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (=> (tptp.v3_ordinal1 (tptp.k1_relat_1 A)) (tptp.m1_ordinal1 A (tptp.k2_relat_1 A))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.r1_tarski A B) (forall ((C $$unsorted)) (=> (tptp.m1_ordinal1 C A) (tptp.m1_ordinal1 C B))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_ordinal1 B A) (forall ((C $$unsorted)) (=> (tptp.v3_ordinal1 C) (tptp.m1_ordinal1 (tptp.k2_ordinal1 B C) A))))) (forall ((A $$unsorted)) (= (tptp.v6_ordinal1 A) (forall ((B $$unsorted) (C $$unsorted)) (=> (and (tptp.r2_hidden B A) (tptp.r2_hidden C A)) (tptp.r3_xboole_0 B C))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k3_tarski A))) (=> (and (forall ((B $$unsorted)) (=> (tptp.r2_hidden B A) (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (tptp.v5_ordinal1 B)))) (tptp.v6_ordinal1 A)) (and (tptp.v1_relat_1 _let_1) (tptp.v1_funct_1 _let_1) (tptp.v5_ordinal1 _let_1))))) (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (forall ((B $$unsorted)) (=> (tptp.v3_ordinal1 B) (not (and (not (tptp.r2_xboole_0 A B)) (not (= A B)) (not (tptp.r2_xboole_0 B A)))))))) (=> (exists ((A $$unsorted)) (and (tptp.v3_ordinal1 A) (tptp.p1_s1_ordinal1 A))) (exists ((A $$unsorted)) (and (tptp.v3_ordinal1 A) (tptp.p1_s1_ordinal1 A) (forall ((B $$unsorted)) (=> (tptp.v3_ordinal1 B) (=> (tptp.p1_s1_ordinal1 B) (tptp.r1_ordinal1 A B))))))) (=> (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (=> (forall ((B $$unsorted)) (=> (tptp.v3_ordinal1 B) (=> (tptp.r2_hidden B A) (tptp.p1_s2_ordinal1 B)))) (tptp.p1_s2_ordinal1 A)))) (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (tptp.p1_s2_ordinal1 A)))) (=> (and (= (tptp.k1_relat_1 tptp.f3_s3_ordinal1) tptp.f1_s3_ordinal1) (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (tptp.v5_ordinal1 B)) (=> (and (tptp.r2_hidden A tptp.f1_s3_ordinal1) (= B (tptp.k2_ordinal1 tptp.f3_s3_ordinal1 A))) (= (tptp.k1_funct_1 tptp.f3_s3_ordinal1 A) (tptp.f2_s3_ordinal1 B))))))) (= (tptp.k1_relat_1 tptp.f4_s3_ordinal1) tptp.f1_s3_ordinal1) (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (tptp.v5_ordinal1 B)) (=> (and (tptp.r2_hidden A tptp.f1_s3_ordinal1) (= B (tptp.k2_ordinal1 tptp.f4_s3_ordinal1 A))) (= (tptp.k1_funct_1 tptp.f4_s3_ordinal1 A) (tptp.f2_s3_ordinal1 B)))))))) (= tptp.f3_s3_ordinal1 tptp.f4_s3_ordinal1)) (exists ((A $$unsorted)) (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v5_ordinal1 A) (= (tptp.k1_relat_1 A) tptp.f1_s4_ordinal1) (forall ((B $$unsorted)) (=> (tptp.v3_ordinal1 B) (forall ((C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C) (tptp.v5_ordinal1 C)) (=> (and (tptp.r2_hidden B tptp.f1_s4_ordinal1) (= C (tptp.k2_ordinal1 A B))) (= (tptp.k1_funct_1 A B) (tptp.f2_s4_ordinal1 C))))))))) (=> (and (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (forall ((B $$unsorted)) (= (= B (tptp.f2_s5_ordinal1 A)) (exists ((C $$unsorted)) (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C) (tptp.v5_ordinal1 C) (= B (tptp.f3_s5_ordinal1 C)) (= (tptp.k1_relat_1 C) A) (forall ((D $$unsorted)) (=> (tptp.v3_ordinal1 D) (=> (tptp.r2_hidden D A) (= (tptp.k1_funct_1 C D) (tptp.f3_s5_ordinal1 (tptp.k2_ordinal1 C D)))))))))))) (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (=> (tptp.r2_hidden A (tptp.k1_relat_1 tptp.f1_s5_ordinal1)) (= (tptp.k1_funct_1 tptp.f1_s5_ordinal1 A) (tptp.f2_s5_ordinal1 A)))))) (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (=> (tptp.r2_hidden A (tptp.k1_relat_1 tptp.f1_s5_ordinal1)) (= (tptp.k1_funct_1 tptp.f1_s5_ordinal1 A) (tptp.f3_s5_ordinal1 (tptp.k2_ordinal1 tptp.f1_s5_ordinal1 A))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_ordinal1 B A) (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (tptp.v5_ordinal1 B)))) (forall ((A $$unsorted)) (exists ((B $$unsorted)) (tptp.m1_ordinal1 B A))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v3_ordinal1 A) (tptp.v3_ordinal1 B)) (tptp.r1_ordinal1 A A))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v3_ordinal1 A) (tptp.v3_ordinal1 B)) (or (tptp.r1_ordinal1 A B) (tptp.r1_ordinal1 B A)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v3_ordinal1 A) (tptp.v3_ordinal1 B)) (= (tptp.r1_ordinal1 A B) (tptp.r1_tarski A B)))) true (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v5_ordinal1 A) (tptp.v3_ordinal1 B)) (tptp.m1_ordinal1 (tptp.k2_ordinal1 A B) (tptp.k2_relat_1 A)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v5_ordinal1 A) (tptp.v3_ordinal1 B)) (= (tptp.k2_ordinal1 A B) (tptp.k7_relat_1 A B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.k2_zfmisc_1 A B))) (tptp.v1_relat_1 C))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.m1_relset_1 C A B) (tptp.r1_tarski C (tptp.k2_zfmisc_1 A B)))) true true true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (tptp.m2_relset_1 D B C) (=> (tptp.r1_tarski A D) (tptp.m2_relset_1 A B C)))) true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (tptp.m2_relset_1 D A B) (not (and (tptp.r2_hidden C D) (forall ((E $$unsorted) (F $$unsorted)) (not (and (= C (tptp.k4_tarski E F)) (tptp.r2_hidden E A) (tptp.r2_hidden F B)))))))) true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.r2_hidden C A) (tptp.r2_hidden D B)) (tptp.m2_relset_1 (tptp.k1_tarski (tptp.k4_tarski C D)) A B))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.v1_relat_1 B) (=> (tptp.r1_tarski (tptp.k1_relat_1 B) A) (tptp.m2_relset_1 B A (tptp.k2_relat_1 B))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.v1_relat_1 B) (=> (tptp.r1_tarski (tptp.k2_relat_1 B) A) (tptp.m2_relset_1 B (tptp.k1_relat_1 B) A)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.v1_relat_1 C) (=> (and (tptp.r1_tarski (tptp.k1_relat_1 C) A) (tptp.r1_tarski (tptp.k2_relat_1 C) B)) (tptp.m2_relset_1 C A B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.m2_relset_1 C A B) (and (tptp.r1_tarski (tptp.k1_relat_1 C) A) (tptp.r1_tarski (tptp.k2_relat_1 C) B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (tptp.m2_relset_1 D A C) (=> (tptp.r1_tarski (tptp.k1_relat_1 D) B) (tptp.m2_relset_1 D B C)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (tptp.m2_relset_1 D C A) (=> (tptp.r1_tarski (tptp.k2_relat_1 D) B) (tptp.m2_relset_1 D C B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (tptp.m2_relset_1 D A C) (=> (tptp.r1_tarski A B) (tptp.m2_relset_1 D B C)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (tptp.m2_relset_1 D C A) (=> (tptp.r1_tarski A B) (tptp.m2_relset_1 D C B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (=> (tptp.m2_relset_1 E A C) (=> (and (tptp.r1_tarski A B) (tptp.r1_tarski C D)) (tptp.m2_relset_1 E B D)))) true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.m2_relset_1 C A B) (tptp.r1_tarski (tptp.k3_relat_1 C) (tptp.k2_xboole_0 A B)))) true true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.m2_relset_1 C B A) (= (forall ((D $$unsorted)) (not (and (tptp.r2_hidden D B) (forall ((E $$unsorted)) (not (tptp.r2_hidden (tptp.k4_tarski D E) C)))))) (= (tptp.k4_relset_1 B A C) B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.m2_relset_1 C A B) (= (forall ((D $$unsorted)) (not (and (tptp.r2_hidden D B) (forall ((E $$unsorted)) (not (tptp.r2_hidden (tptp.k4_tarski E D) C)))))) (= (tptp.k5_relset_1 A B C) B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k6_relset_1 A B C))) (=> (tptp.m2_relset_1 C A B) (and (= (tptp.k4_relset_1 B A _let_1) (tptp.k5_relset_1 A B C)) (= (tptp.k5_relset_1 B A _let_1) (tptp.k4_relset_1 A B C)))))) (forall ((A $$unsorted) (B $$unsorted)) (tptp.m2_relset_1 tptp.k1_xboole_0 A B)) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.m2_relset_1 C A B) (=> (tptp.m2_relset_1 C tptp.k1_xboole_0 B) (= C tptp.k1_xboole_0)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.m2_relset_1 C B A) (=> (tptp.m2_relset_1 C B tptp.k1_xboole_0) (= C tptp.k1_xboole_0)))) (forall ((A $$unsorted)) (tptp.r1_tarski (tptp.k6_relat_1 A) (tptp.k2_zfmisc_1 A A))) (forall ((A $$unsorted)) (tptp.m2_relset_1 (tptp.k6_relat_1 A) A A)) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (tptp.m2_relset_1 D A B) (=> (tptp.r1_tarski (tptp.k6_relat_1 C) D) (and (tptp.r1_tarski C (tptp.k4_relset_1 A B D)) (tptp.r1_tarski C (tptp.k5_relset_1 A B D)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.m2_relset_1 C B A) (=> (tptp.r1_tarski (tptp.k6_relat_1 B) C) (and (= B (tptp.k4_relset_1 B A C)) (tptp.r1_tarski B (tptp.k5_relset_1 B A C)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.m2_relset_1 C A B) (=> (tptp.r1_tarski (tptp.k6_relat_1 B) C) (and (tptp.r1_tarski B (tptp.k4_relset_1 A B C)) (= B (tptp.k5_relset_1 A B C)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (tptp.m2_relset_1 D A C) (tptp.m2_relset_1 (tptp.k8_relset_1 A C D B) B C))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (tptp.m2_relset_1 D B A) (=> (tptp.r1_tarski B C) (= (tptp.k8_relset_1 B A D C) D)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (tptp.m2_relset_1 D C A) (tptp.m2_relset_1 (tptp.k9_relset_1 C A B D) C B))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (tptp.m2_relset_1 D A B) (=> (tptp.r1_tarski B C) (= (tptp.k9_relset_1 A B C D) D)))) true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.m2_relset_1 C A B) (and (= (tptp.k10_relset_1 A B C A) (tptp.k5_relset_1 A B C)) (= (tptp.k11_relset_1 A B C B) (tptp.k4_relset_1 A B C))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.m2_relset_1 C B A) (and (= (tptp.k10_relset_1 B A C (tptp.k11_relset_1 B A C A)) (tptp.k5_relset_1 B A C)) (= (tptp.k11_relset_1 B A C (tptp.k10_relset_1 B A C B)) (tptp.k4_relset_1 B A C))))) true true true true true (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k6_relat_1 A))) (=> (tptp.m2_relset_1 B A A) (and (= (tptp.k5_relat_1 B _let_1) B) (= (tptp.k5_relat_1 _let_1 B) B))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (not (= (tptp.k6_relat_1 A) tptp.k1_xboole_0)))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (=> (tptp.m2_relset_1 C A B) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D A) (= (tptp.r2_hidden D (tptp.k4_relset_1 A B C)) (exists ((E $$unsorted)) (and (tptp.m1_subset_1 E B) (tptp.r2_hidden (tptp.k4_tarski D E) C)))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (=> (tptp.m2_relset_1 C B A) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D A) (= (tptp.r2_hidden D (tptp.k5_relset_1 B A C)) (exists ((E $$unsorted)) (and (tptp.m1_subset_1 E B) (tptp.r2_hidden (tptp.k4_tarski E D) C)))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (=> (tptp.m2_relset_1 C A B) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D A) (not (and (tptp.r2_hidden D (tptp.k4_relset_1 A B C)) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E B) (not (tptp.r2_hidden E (tptp.k5_relset_1 A B C))))))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (=> (tptp.m2_relset_1 C B A) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D A) (not (and (tptp.r2_hidden D (tptp.k5_relset_1 B A C)) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E B) (not (tptp.r2_hidden E (tptp.k4_relset_1 B A C))))))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (=> (not (tptp.v1_xboole_0 C)) (forall ((D $$unsorted)) (=> (tptp.m2_relset_1 D A B) (forall ((E $$unsorted)) (=> (tptp.m2_relset_1 E B C) (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F A) (forall ((G $$unsorted)) (=> (tptp.m1_subset_1 G C) (= (tptp.r2_hidden (tptp.k4_tarski F G) (tptp.k7_relset_1 A B B C D E)) (exists ((H $$unsorted)) (and (tptp.m1_subset_1 H B) (tptp.r2_hidden (tptp.k4_tarski F H) D) (tptp.r2_hidden (tptp.k4_tarski H G) E)))))))))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (=> (not (tptp.v1_xboole_0 C)) (forall ((D $$unsorted)) (=> (tptp.m2_relset_1 D C A) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E A) (= (tptp.r2_hidden E (tptp.k10_relset_1 C A D B)) (exists ((F $$unsorted)) (and (tptp.m1_subset_1 F C) (tptp.r2_hidden (tptp.k4_tarski F E) D) (tptp.r2_hidden F B)))))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (=> (not (tptp.v1_xboole_0 C)) (forall ((D $$unsorted)) (=> (tptp.m2_relset_1 D A C) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E A) (= (tptp.r2_hidden E (tptp.k11_relset_1 A C D B)) (exists ((F $$unsorted)) (and (tptp.m1_subset_1 F C) (tptp.r2_hidden (tptp.k4_tarski E F) D) (tptp.r2_hidden F B)))))))))))))) (exists ((A $$unsorted)) (and (tptp.m2_relset_1 A tptp.f1_s1_relset_1 tptp.f2_s1_relset_1) (forall ((B $$unsorted) (C $$unsorted)) (= (tptp.r2_hidden (tptp.k4_tarski B C) A) (and (tptp.r2_hidden B tptp.f1_s1_relset_1) (tptp.r2_hidden C tptp.f2_s1_relset_1) (tptp.p1_s1_relset_1 B C)))))) (exists ((A $$unsorted)) (and (tptp.m2_relset_1 A tptp.f1_s2_relset_1 tptp.f2_s2_relset_1) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.f1_s2_relset_1) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C tptp.f2_s2_relset_1) (= (tptp.r2_hidden (tptp.k4_tarski B C) A) (tptp.p1_s2_relset_1 B C)))))))) true (forall ((A $$unsorted) (B $$unsorted)) (exists ((C $$unsorted)) (tptp.m1_relset_1 C A B))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.m2_relset_1 C A B) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.k2_zfmisc_1 A B))))) (forall ((A $$unsorted) (B $$unsorted)) (exists ((C $$unsorted)) (tptp.m2_relset_1 C A B))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.m2_relset_1 C A B) (tptp.m1_relset_1 C A B))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.m1_relset_1 C A B) (tptp.m1_relset_1 D A B)) (tptp.m2_relset_1 (tptp.k1_relset_1 A B C D) A B))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.m1_relset_1 C A B) (tptp.m1_relset_1 D A B)) (= (tptp.k1_relset_1 A B C D) (tptp.k1_relset_1 A B D C)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.m1_relset_1 C A B) (tptp.m1_relset_1 D A B)) (= (tptp.k1_relset_1 A B C C) C))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.m1_relset_1 C A B) (tptp.m1_relset_1 D A B)) (= (tptp.k1_relset_1 A B C D) (tptp.k2_xboole_0 C D)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.m1_relset_1 C A B) (tptp.m1_relset_1 D A B)) (tptp.m2_relset_1 (tptp.k2_relset_1 A B C D) A B))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.m1_relset_1 C A B) (tptp.m1_relset_1 D A B)) (= (tptp.k2_relset_1 A B C D) (tptp.k2_relset_1 A B D C)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.m1_relset_1 C A B) (tptp.m1_relset_1 D A B)) (= (tptp.k2_relset_1 A B C C) C))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.m1_relset_1 C A B) (tptp.m1_relset_1 D A B)) (= (tptp.k2_relset_1 A B C D) (tptp.k3_xboole_0 C D)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.m1_relset_1 C A B) (tptp.m1_relset_1 D A B)) (tptp.m2_relset_1 (tptp.k3_relset_1 A B C D) A B))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.m1_relset_1 C A B) (tptp.m1_relset_1 D A B)) (= (tptp.k3_relset_1 A B C D) (tptp.k4_xboole_0 C D)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.m1_relset_1 C A B) (tptp.m1_subset_1 (tptp.k4_relset_1 A B C) (tptp.k1_zfmisc_1 A)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.m1_relset_1 C A B) (= (tptp.k4_relset_1 A B C) (tptp.k1_relat_1 C)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.m1_relset_1 C A B) (tptp.m1_subset_1 (tptp.k5_relset_1 A B C) (tptp.k1_zfmisc_1 B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.m1_relset_1 C A B) (= (tptp.k5_relset_1 A B C) (tptp.k2_relat_1 C)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.m1_relset_1 C A B) (tptp.m2_relset_1 (tptp.k6_relset_1 A B C) B A))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.m1_relset_1 C A B) (= (tptp.k6_relset_1 A B (tptp.k6_relset_1 A B C)) C))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.m1_relset_1 C A B) (= (tptp.k6_relset_1 A B C) (tptp.k4_relat_1 C)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted)) (=> (and (tptp.m1_relset_1 E A B) (tptp.m1_relset_1 F C D)) (tptp.m2_relset_1 (tptp.k7_relset_1 A B C D E F) A D))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted)) (=> (and (tptp.m1_relset_1 E A B) (tptp.m1_relset_1 F C D)) (= (tptp.k7_relset_1 A B C D E F) (tptp.k5_relat_1 E F)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (tptp.m1_relset_1 C A B) (tptp.m2_relset_1 (tptp.k8_relset_1 A B C D) A B))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (tptp.m1_relset_1 C A B) (= (tptp.k8_relset_1 A B C D) (tptp.k7_relat_1 C D)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (tptp.m1_relset_1 D A B) (tptp.m2_relset_1 (tptp.k9_relset_1 A B C D) A B))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (tptp.m1_relset_1 D A B) (= (tptp.k9_relset_1 A B C D) (tptp.k8_relat_1 C D)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (tptp.m1_relset_1 C A B) (tptp.m1_subset_1 (tptp.k10_relset_1 A B C D) (tptp.k1_zfmisc_1 B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (tptp.m1_relset_1 C A B) (= (tptp.k10_relset_1 A B C D) (tptp.k9_relat_1 C D)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (tptp.m1_relset_1 C A B) (tptp.m1_subset_1 (tptp.k11_relset_1 A B C D) (tptp.k1_zfmisc_1 A)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (tptp.m1_relset_1 C A B) (= (tptp.k11_relset_1 A B C D) (tptp.k10_relat_1 C D)))) (exists ((A $$unsorted)) (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v2_funct_1 A) (tptp.v1_xboole_0 A))) (forall ((A $$unsorted) (B $$unsorted)) (exists ((C $$unsorted)) (and (tptp.m1_relset_1 C A B) (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)))) (forall ((A $$unsorted) (B $$unsorted)) (not (tptp.v1_xboole_0 (tptp.k4_partfun1 A B)))) (forall ((A $$unsorted)) (exists ((B $$unsorted)) (and (tptp.m1_relset_1 B A A) (tptp.v1_relat_1 B) (tptp.v1_relat_2 B) (tptp.v3_relat_2 B) (tptp.v4_relat_2 B) (tptp.v8_relat_2 B) (tptp.v1_partfun1 B A A)))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.v1_relat_1 A))) (=> (and _let_1 (tptp.v3_relat_2 A) (tptp.v8_relat_2 A)) (and _let_1 (tptp.v1_relat_2 A))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k6_relat_1 A))) (and (tptp.v1_relat_1 _let_1) (tptp.v1_funct_1 _let_1) (tptp.v1_relat_2 _let_1) (tptp.v3_relat_2 _let_1) (tptp.v4_relat_2 _let_1) (tptp.v8_relat_2 _let_1)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted)) (=> (and (tptp.r1_tarski A (tptp.k2_zfmisc_1 B C)) (tptp.r1_tarski D (tptp.k2_zfmisc_1 E F))) (tptp.r1_tarski (tptp.k2_xboole_0 A D) (tptp.k2_zfmisc_1 (tptp.k2_xboole_0 B E) (tptp.k2_xboole_0 C F))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (not (and (forall ((C $$unsorted)) (=> (tptp.r2_hidden C (tptp.k3_xboole_0 (tptp.k1_relat_1 A) (tptp.k1_relat_1 B))) (= (tptp.k1_funct_1 A C) (tptp.k1_funct_1 B C)))) (forall ((C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (not (= (tptp.k2_xboole_0 A B) C)))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (forall ((C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (=> (= (tptp.k2_xboole_0 A B) C) (forall ((D $$unsorted)) (=> (tptp.r2_hidden D (tptp.k3_xboole_0 (tptp.k1_relat_1 A) (tptp.k1_relat_1 B))) (= (tptp.k1_funct_1 A D) (tptp.k1_funct_1 B D))))))))))) true true true true true true _let_22 true true true true true true true true true true true true true (forall ((A $$unsorted)) (let ((_let_1 (tptp.v1_funct_1 A))) (=> (and (tptp.v1_relat_1 A) _let_1) (and _let_1 (tptp.m2_relset_1 A (tptp.k1_relat_1 A) (tptp.k2_relat_1 A)))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.v1_funct_1 B))) (=> (and (tptp.v1_relat_1 B) _let_1) (=> (tptp.r1_tarski (tptp.k2_relat_1 B) A) (and _let_1 (tptp.m2_relset_1 B (tptp.k1_relat_1 B) A)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.m2_relset_1 D A B)) (not (and (tptp.r2_hidden C (tptp.k2_relat_1 D)) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E A) (not (and (tptp.r2_hidden E (tptp.k4_relset_1 A B D)) (= C (tptp.k1_funct_1 D E)))))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.m2_relset_1 D A B)) (=> (tptp.r2_hidden C (tptp.k4_relset_1 A B D)) (tptp.r2_hidden (tptp.k1_funct_1 D C) B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.v1_funct_1 D))) (=> (and _let_1 (tptp.m2_relset_1 D A B)) (=> (tptp.r1_tarski (tptp.k4_relset_1 A B D) C) (and _let_1 (tptp.m2_relset_1 D C B)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.v1_funct_1 D))) (=> (and _let_1 (tptp.m2_relset_1 D A B)) (=> (tptp.r1_tarski (tptp.k2_relat_1 D) C) (and _let_1 (tptp.m2_relset_1 D A C)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.v1_funct_1 D))) (=> (and _let_1 (tptp.m2_relset_1 D A B)) (=> (tptp.r1_tarski A C) (and _let_1 (tptp.m2_relset_1 D C B)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.v1_funct_1 D))) (=> (and _let_1 (tptp.m2_relset_1 D A B)) (=> (tptp.r1_tarski B C) (and _let_1 (tptp.m2_relset_1 D A C)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (let ((_let_1 (tptp.v1_funct_1 E))) (=> (and _let_1 (tptp.m2_relset_1 E A B)) (=> (and (tptp.r1_tarski A C) (tptp.r1_tarski B D)) (and _let_1 (tptp.m2_relset_1 E C D)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (forall ((D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.m2_relset_1 D A B)) (=> (tptp.r1_tarski C D) (and (tptp.v1_funct_1 C) (tptp.m2_relset_1 C A B))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.m2_relset_1 C A B)) (forall ((D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.m2_relset_1 D A B)) (=> (and (= (tptp.k4_relset_1 A B C) (tptp.k4_relset_1 A B D)) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E A) (=> (tptp.r2_hidden E (tptp.k4_relset_1 A B C)) (= (tptp.k1_funct_1 C E) (tptp.k1_funct_1 D E)))))) (= C D)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.m2_relset_1 D (tptp.k2_zfmisc_1 A B) C)) (forall ((E $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A B))) (=> (and (tptp.v1_funct_1 E) (tptp.m2_relset_1 E _let_1 C)) (=> (and (= (tptp.k4_relset_1 _let_1 C D) (tptp.k4_relset_1 _let_1 C E)) (forall ((F $$unsorted) (G $$unsorted)) (let ((_let_1 (tptp.k4_tarski F G))) (=> (tptp.r2_hidden _let_1 (tptp.k4_relset_1 (tptp.k2_zfmisc_1 A B) C D)) (= (tptp.k1_funct_1 D _let_1) (tptp.k1_funct_1 E _let_1)))))) (= D E))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.m2_relset_1 C A B) (= (tptp.k5_relat_1 (tptp.k6_relat_1 A) C) C))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.m2_relset_1 C A B) (= (tptp.k5_relat_1 C (tptp.k6_relat_1 B)) C))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.m2_relset_1 C A B)) (=> (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D A) (forall ((E $$unsorted)) (let ((_let_1 (tptp.k4_relset_1 A B C))) (=> (tptp.m1_subset_1 E A) (=> (and (tptp.r2_hidden D _let_1) (tptp.r2_hidden E _let_1) (= (tptp.k1_funct_1 C D) (tptp.k1_funct_1 C E))) (= D E))))))) (tptp.v2_funct_1 C)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k2_funct_1 C))) (=> (and (tptp.v1_funct_1 C) (tptp.m2_relset_1 C A B)) (=> (tptp.v2_funct_1 C) (and (tptp.v1_funct_1 _let_1) (tptp.m2_relset_1 _let_1 B A)))))) true true true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k8_relset_1 A B D C))) (=> (and (tptp.v1_funct_1 D) (tptp.m2_relset_1 D A B)) (and (tptp.v1_funct_1 _let_1) (tptp.m2_relset_1 _let_1 C B))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k8_relset_1 A B D C))) (=> (and (tptp.v1_funct_1 D) (tptp.m2_relset_1 D A B)) (and (tptp.v1_funct_1 _let_1) (tptp.m2_relset_1 _let_1 A B))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k9_relset_1 A B C D))) (=> (and (tptp.v1_funct_1 D) (tptp.m2_relset_1 D A B)) (and (tptp.v1_funct_1 _let_1) (tptp.m2_relset_1 _let_1 A C))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k9_relset_1 A B C D))) (=> (and (tptp.v1_funct_1 D) (tptp.m2_relset_1 D A B)) (and (tptp.v1_funct_1 _let_1) (tptp.m2_relset_1 _let_1 A B))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k7_relat_1 (tptp.k8_relat_1 A C) B))) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (and (tptp.v1_funct_1 _let_1) (tptp.m2_relset_1 _let_1 B A))))) true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.m2_relset_1 D A B)) (not (and (tptp.r2_hidden C (tptp.k9_relat_1 D A)) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E A) (not (and (tptp.r2_hidden E (tptp.k4_relset_1 A B D)) (= C (tptp.k1_funct_1 D E)))))))))) true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.m2_relset_1 C A B)) (= (tptp.k9_relat_1 C A) (tptp.k2_relat_1 C)))) true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.m2_relset_1 C A B)) (= (tptp.k10_relat_1 C B) (tptp.k4_relset_1 A B C)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_funct_1 B) (tptp.m2_relset_1 B tptp.k1_xboole_0 A)) (and (= (tptp.k4_relset_1 tptp.k1_xboole_0 A B) tptp.k1_xboole_0) (= (tptp.k2_relat_1 B) tptp.k1_xboole_0)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.v1_funct_1 C))) (=> (and (tptp.v1_relat_1 C) _let_1) (=> (= (tptp.k1_relat_1 C) tptp.k1_xboole_0) (and _let_1 (tptp.m2_relset_1 C A B)))))) (forall ((A $$unsorted) (B $$unsorted)) (and (tptp.v1_funct_1 tptp.k1_xboole_0) (tptp.m2_relset_1 tptp.k1_xboole_0 A B))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_funct_1 B) (tptp.m2_relset_1 B tptp.k1_xboole_0 A)) (= B tptp.k1_xboole_0))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.m2_relset_1 C tptp.k1_xboole_0 A)) (forall ((D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.m2_relset_1 D tptp.k1_xboole_0 B)) (= C D))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_funct_1 B) (tptp.m2_relset_1 B tptp.k1_xboole_0 A)) (tptp.v2_funct_1 B))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.m2_relset_1 C tptp.k1_xboole_0 A)) (= (tptp.k9_relat_1 C B) tptp.k1_xboole_0))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.m2_relset_1 C tptp.k1_xboole_0 A)) (= (tptp.k10_relat_1 C B) tptp.k1_xboole_0))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_funct_1 B) (tptp.m2_relset_1 B A tptp.k1_xboole_0)) (and (= (tptp.k4_relset_1 A tptp.k1_xboole_0 B) tptp.k1_xboole_0) (= (tptp.k2_relat_1 B) tptp.k1_xboole_0)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.v1_funct_1 C))) (=> (and (tptp.v1_relat_1 C) _let_1) (=> (= (tptp.k2_relat_1 C) tptp.k1_xboole_0) (and _let_1 (tptp.m2_relset_1 C A B)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_funct_1 B) (tptp.m2_relset_1 B A tptp.k1_xboole_0)) (= B tptp.k1_xboole_0))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.m2_relset_1 C A tptp.k1_xboole_0)) (forall ((D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.m2_relset_1 D B tptp.k1_xboole_0)) (= C D))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_funct_1 B) (tptp.m2_relset_1 B A tptp.k1_xboole_0)) (tptp.v2_funct_1 B))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.m2_relset_1 C A tptp.k1_xboole_0)) (= (tptp.k9_relat_1 C B) tptp.k1_xboole_0))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.m2_relset_1 C A tptp.k1_xboole_0)) (= (tptp.k10_relat_1 C B) tptp.k1_xboole_0))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.m2_relset_1 C (tptp.k1_tarski A) B)) (tptp.r1_tarski (tptp.k2_relat_1 C) (tptp.k1_tarski (tptp.k1_funct_1 C A))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.m2_relset_1 C (tptp.k1_tarski A) B)) (tptp.v2_funct_1 C))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.m2_relset_1 D (tptp.k1_tarski A) B)) (tptp.r1_tarski (tptp.k9_relat_1 D C) (tptp.k1_tarski (tptp.k1_funct_1 D A))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.v1_funct_1 D))) (=> (and (tptp.v1_relat_1 D) _let_1) (=> (and (= (tptp.k1_relat_1 D) (tptp.k1_tarski A)) (tptp.r2_hidden A B) (tptp.r2_hidden (tptp.k1_funct_1 D A) C)) (and _let_1 (tptp.m2_relset_1 D B C)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k1_tarski B))) (=> (and (tptp.v1_funct_1 D) (tptp.m2_relset_1 D A _let_1)) (=> (tptp.r2_hidden C (tptp.k4_relset_1 A _let_1 D)) (= (tptp.k1_funct_1 D C) B))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.m2_relset_1 C A (tptp.k1_tarski B))) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k1_tarski B))) (=> (and (tptp.v1_funct_1 D) (tptp.m2_relset_1 D A _let_1)) (=> (= (tptp.k4_relset_1 A _let_1 C) (tptp.k4_relset_1 A _let_1 D)) (= C D))))))) true true (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted) (C $$unsorted)) (= (tptp.k3_partfun1 A B C) (tptp.k7_relat_1 (tptp.k8_relat_1 C A) B))))) true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (tptp.r1_tarski (tptp.k3_partfun1 C A B) C))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k3_partfun1 C A B))) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (and (tptp.r1_tarski (tptp.k4_relset_1 A B _let_1) (tptp.k1_relat_1 C)) (tptp.r1_tarski (tptp.k2_relat_1 _let_1) (tptp.k2_relat_1 C)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.v1_relat_1 D) (tptp.v1_funct_1 D)) (= (tptp.r2_hidden A (tptp.k4_relset_1 B C (tptp.k3_partfun1 D B C))) (and (tptp.r2_hidden A (tptp.k1_relat_1 D)) (tptp.r2_hidden A B) (tptp.r2_hidden (tptp.k1_funct_1 D A) C))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k1_funct_1 D A))) (=> (and (tptp.v1_relat_1 D) (tptp.v1_funct_1 D)) (=> (and (tptp.r2_hidden A (tptp.k1_relat_1 D)) (tptp.r2_hidden A B) (tptp.r2_hidden _let_1 C)) (= (tptp.k1_funct_1 (tptp.k3_partfun1 D B C) A) _let_1))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k3_partfun1 D B C))) (=> (and (tptp.v1_relat_1 D) (tptp.v1_funct_1 D)) (=> (tptp.r2_hidden A (tptp.k4_relset_1 B C _let_1)) (= (tptp.k1_funct_1 _let_1 A) (tptp.k1_funct_1 D A)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (forall ((D $$unsorted)) (=> (and (tptp.v1_relat_1 D) (tptp.v1_funct_1 D)) (=> (tptp.r1_tarski C D) (tptp.r1_tarski (tptp.k3_partfun1 C A B) (tptp.k3_partfun1 D A B))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.v1_relat_1 D) (tptp.v1_funct_1 D)) (=> (tptp.r1_tarski A B) (tptp.r1_tarski (tptp.k3_partfun1 D A C) (tptp.k3_partfun1 D B C))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.v1_relat_1 D) (tptp.v1_funct_1 D)) (=> (tptp.r1_tarski A B) (tptp.r1_tarski (tptp.k3_partfun1 D C A) (tptp.k3_partfun1 D C B))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (=> (and (tptp.v1_relat_1 E) (tptp.v1_funct_1 E)) (=> (and (tptp.r1_tarski A B) (tptp.r1_tarski C D)) (tptp.r1_tarski (tptp.k3_partfun1 E A C) (tptp.k3_partfun1 E B D))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (=> (and (tptp.r1_tarski (tptp.k1_relat_1 C) A) (tptp.r1_tarski (tptp.k2_relat_1 C) B)) (= C (tptp.k3_partfun1 C A B))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (= A (tptp.k3_partfun1 A (tptp.k1_relat_1 A) (tptp.k2_relat_1 A))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.m2_relset_1 C A B)) (= (tptp.k3_partfun1 C A B) C))) true true true (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.k3_partfun1 tptp.k1_xboole_0 A B) tptp.k1_xboole_0)) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.v1_relat_1 D) (tptp.v1_funct_1 D)) (forall ((E $$unsorted)) (=> (and (tptp.v1_relat_1 E) (tptp.v1_funct_1 E)) (tptp.r1_tarski (tptp.k1_partfun1 C A A B (tptp.k3_partfun1 D C A) (tptp.k3_partfun1 E A B)) (tptp.k3_partfun1 (tptp.k5_relat_1 D E) C B)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.v1_relat_1 D) (tptp.v1_funct_1 D)) (forall ((E $$unsorted)) (=> (and (tptp.v1_relat_1 E) (tptp.v1_funct_1 E)) (=> (tptp.r1_tarski (tptp.k3_xboole_0 (tptp.k2_relat_1 D) (tptp.k1_relat_1 E)) A) (= (tptp.k1_partfun1 C A A B (tptp.k3_partfun1 D C A) (tptp.k3_partfun1 E A B)) (tptp.k3_partfun1 (tptp.k5_relat_1 D E) C B))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (=> (tptp.v2_funct_1 C) (tptp.v2_funct_1 (tptp.k3_partfun1 C A B))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (=> (tptp.v2_funct_1 C) (= (tptp.k2_funct_1 (tptp.k3_partfun1 C A B)) (tptp.k3_partfun1 (tptp.k2_funct_1 C) B A))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.v1_relat_1 D) (tptp.v1_funct_1 D)) (= (tptp.k2_partfun1 A B (tptp.k3_partfun1 D A B) C) (tptp.k3_partfun1 D (tptp.k3_xboole_0 A C) B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.v1_relat_1 D) (tptp.v1_funct_1 D)) (= (tptp.k9_relset_1 B C A (tptp.k3_partfun1 D B C)) (tptp.k3_partfun1 D B (tptp.k3_xboole_0 A C))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.m2_relset_1 C A B) (= (tptp.v1_partfun1 C A B) (= (tptp.k4_relset_1 A B C) A)))) true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.m2_relset_1 C A B)) (=> (and (tptp.v1_partfun1 C A B) (= B tptp.k1_xboole_0)) (= A tptp.k1_xboole_0)))) true true true true true true true true true true true true (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_funct_1 B) (tptp.m2_relset_1 B tptp.k1_xboole_0 A)) (tptp.v1_partfun1 B tptp.k1_xboole_0 A))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (=> (tptp.v1_partfun1 (tptp.k3_partfun1 C A B) A B) (tptp.r1_tarski A (tptp.k1_relat_1 C))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.v1_partfun1 (tptp.k3_partfun1 tptp.k1_xboole_0 A B) A B) (= A tptp.k1_xboole_0))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (=> (and (tptp.r1_tarski A (tptp.k1_relat_1 C)) (tptp.r1_tarski (tptp.k2_relat_1 C) B)) (tptp.v1_partfun1 (tptp.k3_partfun1 C A B) A B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (=> (tptp.v1_partfun1 (tptp.k3_partfun1 C A B) A B) (tptp.r1_tarski (tptp.k9_relat_1 C A) B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (=> (and (tptp.r1_tarski A (tptp.k1_relat_1 C)) (tptp.r1_tarski (tptp.k9_relat_1 C A) B)) (tptp.v1_partfun1 (tptp.k3_partfun1 C A B) A B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (= C (tptp.k4_partfun1 A B)) (forall ((D $$unsorted)) (= (tptp.r2_hidden D C) (exists ((E $$unsorted)) (and (tptp.v1_relat_1 E) (tptp.v1_funct_1 E) (= D E) (tptp.r1_tarski (tptp.k1_relat_1 E) A) (tptp.r1_tarski (tptp.k2_relat_1 E) B))))))) true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.m2_relset_1 C A B)) (tptp.r2_hidden C (tptp.k4_partfun1 A B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.r2_hidden C (tptp.k4_partfun1 A B)) (and (tptp.v1_funct_1 C) (tptp.m2_relset_1 C A B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k4_partfun1 A B)) (and (tptp.v1_funct_1 C) (tptp.m2_relset_1 C A B)))) (forall ((A $$unsorted)) (= (tptp.k4_partfun1 tptp.k1_xboole_0 A) (tptp.k1_tarski tptp.k1_xboole_0))) (forall ((A $$unsorted)) (= (tptp.k4_partfun1 A tptp.k1_xboole_0) (tptp.k1_tarski tptp.k1_xboole_0))) true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.r1_tarski A B) (tptp.r1_tarski (tptp.k4_partfun1 A C) (tptp.k4_partfun1 B C)))) (forall ((A $$unsorted) (B $$unsorted)) (tptp.r1_tarski (tptp.k4_partfun1 tptp.k1_xboole_0 A) (tptp.k4_partfun1 B A))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.r1_tarski A B) (tptp.r1_tarski (tptp.k4_partfun1 C A) (tptp.k4_partfun1 C B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.r1_tarski A B) (tptp.r1_tarski C D)) (tptp.r1_tarski (tptp.k4_partfun1 A C) (tptp.k4_partfun1 B D)))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (= (tptp.r1_partfun1 A B) (forall ((C $$unsorted)) (=> (tptp.r2_hidden C (tptp.k3_xboole_0 (tptp.k1_relat_1 A) (tptp.k1_relat_1 B))) (= (tptp.k1_funct_1 A C) (tptp.k1_funct_1 B C))))))))) true (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (= (tptp.r1_partfun1 A B) (exists ((C $$unsorted)) (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C) (= (tptp.k2_xboole_0 A B) C)))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (= (tptp.r1_partfun1 A B) (exists ((C $$unsorted)) (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C) (tptp.r1_tarski A C) (tptp.r1_tarski B C)))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (=> (tptp.r1_tarski (tptp.k1_relat_1 A) (tptp.k1_relat_1 B)) (= (tptp.r1_partfun1 A B) (forall ((C $$unsorted)) (=> (tptp.r2_hidden C (tptp.k1_relat_1 A)) (= (tptp.k1_funct_1 A C) (tptp.k1_funct_1 B C)))))))))) true true (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (=> (tptp.r1_tarski A B) (tptp.r1_partfun1 A B)))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (=> (and (= (tptp.k1_relat_1 A) (tptp.k1_relat_1 B)) (tptp.r1_partfun1 A B)) (= A B)))))) true (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (=> (tptp.r1_xboole_0 (tptp.k1_relat_1 A) (tptp.k1_relat_1 B)) (tptp.r1_partfun1 A B)))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (forall ((C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (=> (and (tptp.r1_tarski A C) (tptp.r1_tarski B C)) (tptp.r1_partfun1 A B)))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.m2_relset_1 C A B)) (forall ((D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.m2_relset_1 D A B)) (forall ((E $$unsorted)) (=> (and (tptp.v1_relat_1 E) (tptp.v1_funct_1 E)) (=> (and (tptp.r1_partfun1 C E) (tptp.r1_tarski D C)) (tptp.r1_partfun1 D E)))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (tptp.r1_partfun1 tptp.k1_xboole_0 A))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (tptp.r1_partfun1 (tptp.k3_partfun1 tptp.k1_xboole_0 A B) C))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.m2_relset_1 C A (tptp.k1_tarski B))) (forall ((D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.m2_relset_1 D A (tptp.k1_tarski B))) (tptp.r1_partfun1 C D))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (tptp.r1_partfun1 (tptp.k7_relat_1 B A) B))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (tptp.r1_partfun1 (tptp.k8_relat_1 A B) B))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (tptp.r1_partfun1 (tptp.k7_relat_1 (tptp.k8_relat_1 A C) B) C))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (tptp.r1_partfun1 (tptp.k3_partfun1 C A B) C))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.m2_relset_1 C A B)) (forall ((D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.m2_relset_1 D A B)) (=> (and (tptp.v1_partfun1 C A B) (tptp.v1_partfun1 D A B) (tptp.r1_partfun1 C D)) (= C D)))))) true true true true true true true true true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.m2_relset_1 C A B)) (forall ((D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.m2_relset_1 D A B)) (forall ((E $$unsorted)) (=> (and (tptp.v1_funct_1 E) (tptp.m2_relset_1 E A B)) (=> (and (tptp.r1_partfun1 C E) (tptp.r1_partfun1 D E) (tptp.v1_partfun1 E A B)) (tptp.r1_partfun1 C D)))))))) true true true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.m2_relset_1 C A B)) (forall ((D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.m2_relset_1 D A B)) (not (and (=> (= B tptp.k1_xboole_0) (= A tptp.k1_xboole_0)) (tptp.r1_partfun1 C D) (forall ((E $$unsorted)) (=> (and (tptp.v1_funct_1 E) (tptp.m2_relset_1 E A B)) (not (and (tptp.v1_partfun1 E A B) (tptp.r1_partfun1 C E) (tptp.r1_partfun1 D E))))))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.m2_relset_1 C A B)) (forall ((D $$unsorted)) (= (= D (tptp.k5_partfun1 A B C)) (forall ((E $$unsorted)) (= (tptp.r2_hidden E D) (exists ((F $$unsorted)) (and (tptp.v1_funct_1 F) (tptp.m2_relset_1 F A B) (= F E) (tptp.v1_partfun1 F A B) (tptp.r1_partfun1 C F))))))))) true true true true true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.m2_relset_1 C A B)) (forall ((D $$unsorted)) (=> (tptp.r2_hidden D (tptp.k5_partfun1 A B C)) (and (tptp.v1_funct_1 D) (tptp.m2_relset_1 D A B)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.m2_relset_1 C A B)) (forall ((D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.m2_relset_1 D A B)) (=> (tptp.r2_hidden D (tptp.k5_partfun1 A B C)) (tptp.v1_partfun1 D A B)))))) true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.m2_relset_1 C A B)) (forall ((D $$unsorted)) (=> (and (tptp.v1_relat_1 D) (tptp.v1_funct_1 D)) (=> (tptp.r2_hidden D (tptp.k5_partfun1 A B C)) (tptp.r1_partfun1 C D)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_funct_1 B) (tptp.m2_relset_1 B A tptp.k1_xboole_0)) (=> (not (= A tptp.k1_xboole_0)) (= (tptp.k5_partfun1 A tptp.k1_xboole_0 B) tptp.k1_xboole_0)))) true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.m2_relset_1 C A B)) (= (tptp.v1_partfun1 C A B) (= (tptp.k5_partfun1 A B C) (tptp.k1_tarski C))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_funct_1 B) (tptp.m2_relset_1 B tptp.k1_xboole_0 A)) (= (tptp.k5_partfun1 tptp.k1_xboole_0 A B) (tptp.k1_tarski B)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_funct_1 B) (tptp.m2_relset_1 B tptp.k1_xboole_0 A)) (= (tptp.k5_partfun1 tptp.k1_xboole_0 A B) (tptp.k1_tarski tptp.k1_xboole_0)))) true true true true true true true true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.m2_relset_1 C A B)) (forall ((D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.m2_relset_1 D A B)) (=> (not (tptp.r1_xboole_0 (tptp.k5_partfun1 A B C) (tptp.k5_partfun1 A B D))) (tptp.r1_partfun1 C D)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.m2_relset_1 C A B)) (forall ((D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.m2_relset_1 D A B)) (not (and (=> (= B tptp.k1_xboole_0) (= A tptp.k1_xboole_0)) (tptp.r1_partfun1 C D) (tptp.r1_xboole_0 (tptp.k5_partfun1 A B C) (tptp.k5_partfun1 A B D)))))))) (exists ((A $$unsorted)) (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (= (tptp.k1_relat_1 A) tptp.f1_s1_partfun1) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k1_funct_1 A B))) (let ((_let_2 (tptp.p1_s1_partfun1 B))) (=> (tptp.r2_hidden B tptp.f1_s1_partfun1) (and (=> _let_2 (= _let_1 (tptp.f2_s1_partfun1 B))) (=> (not _let_2) (= _let_1 (tptp.f3_s1_partfun1 B)))))))))) (=> (and (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.r2_hidden A tptp.f1_s2_partfun1) (tptp.p1_s2_partfun1 A B)) (tptp.r2_hidden B tptp.f2_s2_partfun1))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.r2_hidden A tptp.f1_s2_partfun1) (tptp.p1_s2_partfun1 A B) (tptp.p1_s2_partfun1 A C)) (= B C)))) (exists ((A $$unsorted)) (and (tptp.v1_funct_1 A) (tptp.m2_relset_1 A tptp.f1_s2_partfun1 tptp.f2_s2_partfun1) (forall ((B $$unsorted)) (= (tptp.r2_hidden B (tptp.k4_relset_1 tptp.f1_s2_partfun1 tptp.f2_s2_partfun1 A)) (and (tptp.r2_hidden B tptp.f1_s2_partfun1) (exists ((C $$unsorted)) (tptp.p1_s2_partfun1 B C))))) (forall ((B $$unsorted)) (=> (tptp.r2_hidden B (tptp.k4_relset_1 tptp.f1_s2_partfun1 tptp.f2_s2_partfun1 A)) (tptp.p1_s2_partfun1 B (tptp.k1_funct_1 A B))))))) (=> (forall ((A $$unsorted)) (=> (tptp.p1_s3_partfun1 A) (tptp.r2_hidden (tptp.f3_s3_partfun1 A) tptp.f2_s3_partfun1))) (exists ((A $$unsorted)) (and (tptp.v1_funct_1 A) (tptp.m2_relset_1 A tptp.f1_s3_partfun1 tptp.f2_s3_partfun1) (forall ((B $$unsorted)) (= (tptp.r2_hidden B (tptp.k4_relset_1 tptp.f1_s3_partfun1 tptp.f2_s3_partfun1 A)) (and (tptp.r2_hidden B tptp.f1_s3_partfun1) (tptp.p1_s3_partfun1 B)))) (forall ((B $$unsorted)) (=> (tptp.r2_hidden B (tptp.k4_relset_1 tptp.f1_s3_partfun1 tptp.f2_s3_partfun1 A)) (= (tptp.k1_funct_1 A B) (tptp.f3_s3_partfun1 B))))))) (=> (and (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.r2_hidden A tptp.f1_s4_partfun1) (tptp.r2_hidden B tptp.f2_s4_partfun1) (tptp.p1_s4_partfun1 A B C)) (tptp.r2_hidden C tptp.f3_s4_partfun1))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.r2_hidden A tptp.f1_s4_partfun1) (tptp.r2_hidden B tptp.f2_s4_partfun1) (tptp.p1_s4_partfun1 A B C) (tptp.p1_s4_partfun1 A B D)) (= C D)))) (exists ((A $$unsorted)) (and (tptp.v1_funct_1 A) (tptp.m2_relset_1 A (tptp.k2_zfmisc_1 tptp.f1_s4_partfun1 tptp.f2_s4_partfun1) tptp.f3_s4_partfun1) (forall ((B $$unsorted) (C $$unsorted)) (= (tptp.r2_hidden (tptp.k4_tarski B C) (tptp.k4_relset_1 (tptp.k2_zfmisc_1 tptp.f1_s4_partfun1 tptp.f2_s4_partfun1) tptp.f3_s4_partfun1 A)) (and (tptp.r2_hidden B tptp.f1_s4_partfun1) (tptp.r2_hidden C tptp.f2_s4_partfun1) (exists ((D $$unsorted)) (tptp.p1_s4_partfun1 B C D))))) (forall ((B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k4_tarski B C))) (=> (tptp.r2_hidden _let_1 (tptp.k4_relset_1 (tptp.k2_zfmisc_1 tptp.f1_s4_partfun1 tptp.f2_s4_partfun1) tptp.f3_s4_partfun1 A)) (tptp.p1_s4_partfun1 B C (tptp.k1_funct_1 A _let_1)))))))) (=> (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.p1_s5_partfun1 A B) (tptp.r2_hidden (tptp.f4_s5_partfun1 A B) tptp.f3_s5_partfun1))) (exists ((A $$unsorted)) (and (tptp.v1_funct_1 A) (tptp.m2_relset_1 A (tptp.k2_zfmisc_1 tptp.f1_s5_partfun1 tptp.f2_s5_partfun1) tptp.f3_s5_partfun1) (forall ((B $$unsorted) (C $$unsorted)) (= (tptp.r2_hidden (tptp.k4_tarski B C) (tptp.k4_relset_1 (tptp.k2_zfmisc_1 tptp.f1_s5_partfun1 tptp.f2_s5_partfun1) tptp.f3_s5_partfun1 A)) (and (tptp.r2_hidden B tptp.f1_s5_partfun1) (tptp.r2_hidden C tptp.f2_s5_partfun1) (tptp.p1_s5_partfun1 B C)))) (forall ((B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k4_tarski B C))) (=> (tptp.r2_hidden _let_1 (tptp.k4_relset_1 (tptp.k2_zfmisc_1 tptp.f1_s5_partfun1 tptp.f2_s5_partfun1) tptp.f3_s5_partfun1 A)) (= (tptp.k1_funct_1 A _let_1) (tptp.f4_s5_partfun1 B C)))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (=> (tptp.r1_partfun1 A B) (tptp.r1_partfun1 B A)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (tptp.r1_partfun1 A A))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted)) (let ((_let_1 (tptp.k1_partfun1 A B C D E F))) (=> (and (tptp.v1_funct_1 E) (tptp.m1_relset_1 E A B) (tptp.v1_funct_1 F) (tptp.m1_relset_1 F C D)) (and (tptp.v1_funct_1 _let_1) (tptp.m2_relset_1 _let_1 A D))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted)) (=> (and (tptp.v1_funct_1 E) (tptp.m1_relset_1 E A B) (tptp.v1_funct_1 F) (tptp.m1_relset_1 F C D)) (= (tptp.k1_partfun1 A B C D E F) (tptp.k5_relat_1 E F)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k2_partfun1 A B C D))) (=> (and (tptp.v1_funct_1 C) (tptp.m1_relset_1 C A B)) (and (tptp.v1_funct_1 _let_1) (tptp.m2_relset_1 _let_1 A B))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.m1_relset_1 C A B)) (= (tptp.k2_partfun1 A B C D) (tptp.k7_relat_1 C D)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k3_partfun1 A B C))) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (and (tptp.v1_funct_1 _let_1) (tptp.m2_relset_1 _let_1 B C))))) true true (forall ((A $$unsorted)) (let ((_let_1 (tptp.k6_partfun1 A))) (and (tptp.v1_partfun1 _let_1 A A) (tptp.m2_relset_1 _let_1 A A)))) (forall ((A $$unsorted)) (= (tptp.k6_partfun1 A) (tptp.k6_relat_1 A))) (forall ((A $$unsorted) (B $$unsorted)) (exists ((C $$unsorted)) (and (tptp.m1_relset_1 C A B) (tptp.v1_relat_1 C) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C A B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.v1_funct_1 C))) (=> (tptp.m1_relset_1 C A B) (=> (and _let_1 (tptp.v1_partfun1 C A B)) (and _let_1 (tptp.v1_funct_2 C A B)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (not (tptp.v1_xboole_0 (tptp.k1_funct_2 A B))))) (forall ((A $$unsorted)) (not (tptp.v1_xboole_0 (tptp.k1_funct_2 A A)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.v1_funct_2 C A B))) (let ((_let_2 (tptp.v1_funct_1 C))) (=> (tptp.m1_relset_1 C A B) (=> (and _let_2 _let_1 (tptp.v3_funct_2 C A B)) (and _let_2 (tptp.v2_funct_1 C) _let_1 (tptp.v2_funct_2 C A B))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.v1_funct_2 C A B))) (let ((_let_2 (tptp.v1_funct_1 C))) (=> (tptp.m1_relset_1 C A B) (=> (and _let_2 (tptp.v2_funct_1 C) _let_1 (tptp.v2_funct_2 C A B)) (and _let_2 _let_1 (tptp.v3_funct_2 C A B))))))) (forall ((A $$unsorted)) (exists ((B $$unsorted)) (and (tptp.m1_relset_1 B A A) (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (tptp.v2_funct_1 B) (tptp.v1_funct_2 B A A) (tptp.v2_funct_2 B A A) (tptp.v3_funct_2 B A A)))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.v1_funct_2 B A A))) (let ((_let_2 (tptp.v1_funct_1 B))) (=> (tptp.m1_relset_1 B A A) (=> (and _let_2 (tptp.v1_partfun1 B A A) (tptp.v1_relat_2 B) _let_1) (and _let_2 (tptp.v2_funct_1 B) _let_1 (tptp.v2_funct_2 B A A) (tptp.v3_funct_2 B A A))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.v1_funct_2 C A B))) (let ((_let_2 (tptp.v1_funct_1 C))) (=> (tptp.m1_relset_1 C A B) (=> (and _let_2 _let_1) (and _let_2 (tptp.v1_partfun1 C A B) _let_1)))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (not (tptp.v1_xboole_0 B))) (forall ((C $$unsorted)) (let ((_let_1 (tptp.v1_funct_2 C A B))) (let ((_let_2 (tptp.v1_funct_1 C))) (=> (tptp.m1_relset_1 C A B) (=> (and _let_2 _let_1) (and _let_2 (not (tptp.v1_xboole_0 C)) (tptp.v1_partfun1 C A B) _let_1)))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.v1_funct_2 C A B))) (let ((_let_2 (= A tptp.k1_xboole_0))) (let ((_let_3 (= B tptp.k1_xboole_0))) (=> (tptp.m2_relset_1 C A B) (and (=> (=> _let_3 _let_2) (= _let_1 (= A (tptp.k4_relset_1 A B C)))) (=> _let_3 (or _let_2 (= _let_1 (= C tptp.k1_xboole_0)))))))))) true true (forall ((A $$unsorted)) (let ((_let_1 (tptp.k2_relat_1 A))) (let ((_let_2 (tptp.k1_relat_1 A))) (let ((_let_3 (tptp.v1_funct_1 A))) (=> (and (tptp.v1_relat_1 A) _let_3) (and _let_3 (tptp.v1_funct_2 A _let_2 _let_1) (tptp.m2_relset_1 A _let_2 _let_1))))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k1_relat_1 B))) (let ((_let_2 (tptp.v1_funct_1 B))) (=> (and (tptp.v1_relat_1 B) _let_2) (=> (tptp.r1_tarski (tptp.k2_relat_1 B) A) (and _let_2 (tptp.v1_funct_2 B _let_1 A) (tptp.m2_relset_1 B _let_1 A))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.v1_funct_1 C))) (=> (and (tptp.v1_relat_1 C) _let_1) (=> (and (= (tptp.k1_relat_1 C) A) (forall ((D $$unsorted)) (=> (tptp.r2_hidden D A) (tptp.r2_hidden (tptp.k1_funct_1 C D) B)))) (and _let_1 (tptp.v1_funct_2 C A B) (tptp.m2_relset_1 C A B)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D A B) (tptp.m2_relset_1 D A B)) (=> (tptp.r2_hidden C A) (or (= B tptp.k1_xboole_0) (tptp.r2_hidden (tptp.k1_funct_1 D C) (tptp.k2_relat_1 D)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D A B) (tptp.m2_relset_1 D A B)) (=> (tptp.r2_hidden C A) (or (= B tptp.k1_xboole_0) (tptp.r2_hidden (tptp.k1_funct_1 D C) B))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.v1_funct_1 D))) (=> (and _let_1 (tptp.v1_funct_2 D A B) (tptp.m2_relset_1 D A B)) (=> (tptp.r1_tarski (tptp.k2_relat_1 D) C) (or (and (= B tptp.k1_xboole_0) (not (= A tptp.k1_xboole_0))) (and _let_1 (tptp.v1_funct_2 D A C) (tptp.m2_relset_1 D A C))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.v1_funct_1 D))) (=> (and _let_1 (tptp.v1_funct_2 D A B) (tptp.m2_relset_1 D A B)) (=> (tptp.r1_tarski B C) (or (and (= B tptp.k1_xboole_0) (not (= A tptp.k1_xboole_0))) (and _let_1 (tptp.v1_funct_2 D A C) (tptp.m2_relset_1 D A C))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (= C (tptp.k1_funct_2 A B)) (forall ((D $$unsorted)) (= (tptp.r2_hidden D C) (exists ((E $$unsorted)) (and (tptp.v1_relat_1 E) (tptp.v1_funct_1 E) (= D E) (= (tptp.k1_relat_1 E) A) (tptp.r1_tarski (tptp.k2_relat_1 E) B))))))) true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C A B) (tptp.m2_relset_1 C A B)) (=> (=> (= B tptp.k1_xboole_0) (= A tptp.k1_xboole_0)) (tptp.r2_hidden C (tptp.k1_funct_2 A B))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B A A) (tptp.m2_relset_1 B A A)) (tptp.r2_hidden B (tptp.k1_funct_2 A A)))) true (forall ((A $$unsorted)) (=> (not (= A tptp.k1_xboole_0)) (= (tptp.k1_funct_2 A tptp.k1_xboole_0) tptp.k1_xboole_0))) true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C A B) (tptp.m2_relset_1 C A B)) (=> (forall ((D $$unsorted)) (not (and (tptp.r2_hidden D B) (forall ((E $$unsorted)) (not (and (tptp.r2_hidden E A) (= D (tptp.k1_funct_1 C E)))))))) (or (= B tptp.k1_xboole_0) (= (tptp.k2_relat_1 C) B))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D A B) (tptp.m2_relset_1 D A B)) (not (and (tptp.r2_hidden C B) (= (tptp.k2_relat_1 D) B) (forall ((E $$unsorted)) (not (and (tptp.r2_hidden E A) (= (tptp.k1_funct_1 D E) C)))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C A B) (tptp.m2_relset_1 C A B)) (forall ((D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D A B) (tptp.m2_relset_1 D A B)) (=> (forall ((E $$unsorted)) (=> (tptp.r2_hidden E A) (= (tptp.k1_funct_1 C E) (tptp.k1_funct_1 D E)))) (= C D)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D A B) (tptp.m2_relset_1 D A B)) (forall ((E $$unsorted)) (let ((_let_1 (tptp.k1_partfun1 A B B C D E))) (=> (and (tptp.v1_funct_1 E) (tptp.v1_funct_2 E B C) (tptp.m2_relset_1 E B C)) (=> (not (and (= B tptp.k1_xboole_0) (not (= C tptp.k1_xboole_0)) (not (= A tptp.k1_xboole_0)))) (and (tptp.v1_funct_1 _let_1) (tptp.v1_funct_2 _let_1 A C) (tptp.m2_relset_1 _let_1 A C)))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D A B) (tptp.m2_relset_1 D A B)) (forall ((E $$unsorted)) (=> (and (tptp.v1_funct_1 E) (tptp.v1_funct_2 E B C) (tptp.m2_relset_1 E B C)) (=> (and (= (tptp.k2_relat_1 D) B) (= (tptp.k2_relat_1 E) C)) (or (= B tptp.k1_xboole_0) (= C tptp.k1_xboole_0) (= (tptp.k2_relat_1 (tptp.k1_partfun1 A B B C D E)) C))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D A B) (tptp.m2_relset_1 D A B)) (forall ((E $$unsorted)) (=> (and (tptp.v1_relat_1 E) (tptp.v1_funct_1 E)) (=> (tptp.r2_hidden C A) (or (= B tptp.k1_xboole_0) (= (tptp.k1_funct_1 (tptp.k5_relat_1 D E) C) (tptp.k1_funct_1 E (tptp.k1_funct_1 D C))))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C A B) (tptp.m2_relset_1 C A B)) (=> (not (= B tptp.k1_xboole_0)) (= (= (tptp.k2_relat_1 C) B) (forall ((D $$unsorted)) (=> (not (= D tptp.k1_xboole_0)) (forall ((E $$unsorted)) (=> (and (tptp.v1_funct_1 E) (tptp.v1_funct_2 E B D) (tptp.m2_relset_1 E B D)) (forall ((F $$unsorted)) (=> (and (tptp.v1_funct_1 F) (tptp.v1_funct_2 F B D) (tptp.m2_relset_1 F B D)) (=> (= (tptp.k1_partfun1 A B B D C E) (tptp.k1_partfun1 A B B D C F)) (= E F)))))))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.m2_relset_1 C A B) (and (= (tptp.k7_relset_1 A A A B (tptp.k6_partfun1 A) C) C) (= (tptp.k7_relset_1 A B B B C (tptp.k6_partfun1 B)) C)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C A B) (tptp.m2_relset_1 C A B)) (forall ((D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D B A) (tptp.m2_relset_1 D B A)) (=> (= (tptp.k1_partfun1 B A A B D C) (tptp.k6_partfun1 B)) (= (tptp.k2_relat_1 C) B)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C A B) (tptp.m2_relset_1 C A B)) (=> (=> (= B tptp.k1_xboole_0) (= A tptp.k1_xboole_0)) (= (tptp.v2_funct_1 C) (forall ((D $$unsorted) (E $$unsorted)) (=> (and (tptp.r2_hidden D A) (tptp.r2_hidden E A) (= (tptp.k1_funct_1 C D) (tptp.k1_funct_1 C E))) (= D E))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D A B) (tptp.m2_relset_1 D A B)) (forall ((E $$unsorted)) (let ((_let_1 (= B tptp.k1_xboole_0))) (=> (and (tptp.v1_funct_1 E) (tptp.v1_funct_2 E B C) (tptp.m2_relset_1 E B C)) (=> (tptp.v2_funct_1 (tptp.k1_partfun1 A B B C D E)) (or (and (= C tptp.k1_xboole_0) (not _let_1)) (and _let_1 (not (= A tptp.k1_xboole_0))) (tptp.v2_funct_1 D)))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C A B) (tptp.m2_relset_1 C A B)) (not (and (not (= A tptp.k1_xboole_0)) (not (= B tptp.k1_xboole_0)) (not (= (tptp.v2_funct_1 C) (forall ((D $$unsorted) (E $$unsorted)) (=> (and (tptp.v1_funct_1 E) (tptp.v1_funct_2 E D A) (tptp.m2_relset_1 E D A)) (forall ((F $$unsorted)) (=> (and (tptp.v1_funct_1 F) (tptp.v1_funct_2 F D A) (tptp.m2_relset_1 F D A)) (=> (= (tptp.k1_partfun1 D A A B E C) (tptp.k1_partfun1 D A A B F C)) (= E F)))))))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D A B) (tptp.m2_relset_1 D A B)) (forall ((E $$unsorted)) (=> (and (tptp.v1_funct_1 E) (tptp.v1_funct_2 E B C) (tptp.m2_relset_1 E B C)) (=> (and (= (tptp.k2_relat_1 (tptp.k1_partfun1 A B B C D E)) C) (tptp.v2_funct_1 E)) (or (= C tptp.k1_xboole_0) (= (tptp.k2_relat_1 D) B))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C A B) (tptp.m2_relset_1 C A B)) (forall ((D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D B A) (tptp.m2_relset_1 D B A)) (=> (= (tptp.k1_partfun1 A B B A C D) (tptp.k6_partfun1 A)) (or (= B tptp.k1_xboole_0) (and (tptp.v2_funct_1 C) (= (tptp.k2_relat_1 D) A)))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D A B) (tptp.m2_relset_1 D A B)) (forall ((E $$unsorted)) (=> (and (tptp.v1_funct_1 E) (tptp.v1_funct_2 E B C) (tptp.m2_relset_1 E B C)) (=> (and (tptp.v2_funct_1 (tptp.k1_partfun1 A B B C D E)) (= (tptp.k2_relat_1 D) B)) (or (and (= C tptp.k1_xboole_0) (not (= B tptp.k1_xboole_0))) (and (tptp.v2_funct_1 D) (tptp.v2_funct_1 E)))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k2_funct_1 C))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C A B) (tptp.m2_relset_1 C A B)) (=> (and (tptp.v2_funct_1 C) (= (tptp.k2_relat_1 C) B)) (and (tptp.v1_funct_1 _let_1) (tptp.v1_funct_2 _let_1 B A) (tptp.m2_relset_1 _let_1 B A)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D A B) (tptp.m2_relset_1 D A B)) (=> (and (tptp.v2_funct_1 D) (tptp.r2_hidden C A)) (or (= B tptp.k1_xboole_0) (= (tptp.k1_funct_1 (tptp.k2_funct_1 D) (tptp.k1_funct_1 D C)) C))))) true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C A B) (tptp.m2_relset_1 C A B)) (forall ((D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D B A) (tptp.m2_relset_1 D B A)) (=> (and (= (tptp.k2_relat_1 C) B) (tptp.v2_funct_1 C) (forall ((E $$unsorted) (F $$unsorted)) (let ((_let_1 (and (tptp.r2_hidden E B) (= (tptp.k1_funct_1 D E) F)))) (let ((_let_2 (and (tptp.r2_hidden F A) (= (tptp.k1_funct_1 C F) E)))) (and (=> _let_1 _let_2) (=> _let_2 _let_1)))))) (or (= A tptp.k1_xboole_0) (= B tptp.k1_xboole_0) (= D (tptp.k2_funct_1 C)))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k2_funct_1 C))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C A B) (tptp.m2_relset_1 C A B)) (=> (and (= (tptp.k2_relat_1 C) B) (tptp.v2_funct_1 C)) (or (= B tptp.k1_xboole_0) (and (= (tptp.k5_relat_1 C _let_1) (tptp.k6_partfun1 A)) (= (tptp.k5_relat_1 _let_1 C) (tptp.k6_partfun1 B)))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C A B) (tptp.m2_relset_1 C A B)) (forall ((D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D B A) (tptp.m2_relset_1 D B A)) (=> (and (= (tptp.k2_relat_1 C) B) (= (tptp.k1_partfun1 A B B A C D) (tptp.k6_partfun1 A)) (tptp.v2_funct_1 C)) (or (= A tptp.k1_xboole_0) (= B tptp.k1_xboole_0) (= D (tptp.k2_funct_1 C)))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C A B) (tptp.m2_relset_1 C A B)) (not (and (not (= B tptp.k1_xboole_0)) (exists ((D $$unsorted)) (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D B A) (tptp.m2_relset_1 D B A) (= (tptp.k1_partfun1 A B B A C D) (tptp.k6_partfun1 A)))) (not (tptp.v2_funct_1 C)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k2_partfun1 A B D C))) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D A B) (tptp.m2_relset_1 D A B)) (=> (tptp.r1_tarski C A) (or (and (= B tptp.k1_xboole_0) (not (= A tptp.k1_xboole_0))) (and (tptp.v1_funct_1 _let_1) (tptp.v1_funct_2 _let_1 C B) (tptp.m2_relset_1 _let_1 C B))))))) true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D A B) (tptp.m2_relset_1 D A B)) (=> (tptp.r1_tarski A C) (= (tptp.k2_partfun1 A B D C) D)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (let ((_let_1 (tptp.k1_funct_1 E C))) (=> (and (tptp.v1_funct_1 E) (tptp.v1_funct_2 E A B) (tptp.m2_relset_1 E A B)) (=> (and (tptp.r2_hidden C A) (tptp.r2_hidden _let_1 D)) (or (= B tptp.k1_xboole_0) (= (tptp.k1_funct_1 (tptp.k9_relset_1 A B D E) C) _let_1)))))) true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D A B) (tptp.m2_relset_1 D A B)) (=> (not (= B tptp.k1_xboole_0)) (forall ((E $$unsorted)) (=> (exists ((F $$unsorted)) (and (tptp.r2_hidden F A) (tptp.r2_hidden F C) (= E (tptp.k1_funct_1 D F)))) (tptp.r2_hidden E (tptp.k9_relat_1 D C))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D A B) (tptp.m2_relset_1 D A B)) (tptp.r1_tarski (tptp.k9_relat_1 D C) B))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C A B) (tptp.m2_relset_1 C A B)) (=> (=> (= B tptp.k1_xboole_0) (= A tptp.k1_xboole_0)) (= (tptp.k2_funct_2 A B C A) (tptp.k2_relat_1 C))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D A B) (tptp.m2_relset_1 D A B)) (=> (not (= B tptp.k1_xboole_0)) (forall ((E $$unsorted)) (= (tptp.r2_hidden E (tptp.k10_relat_1 D C)) (and (tptp.r2_hidden E A) (tptp.r2_hidden (tptp.k1_funct_1 D E) C))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.m2_relset_1 D A B)) (tptp.r1_tarski (tptp.k10_relat_1 D C) A))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C A B) (tptp.m2_relset_1 C A B)) (=> (=> (= B tptp.k1_xboole_0) (= A tptp.k1_xboole_0)) (= (tptp.k3_funct_2 A B C B) A)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C A B) (tptp.m2_relset_1 C A B)) (= (forall ((D $$unsorted)) (not (and (tptp.r2_hidden D B) (= (tptp.k3_funct_2 A B C (tptp.k1_tarski D)) tptp.k1_xboole_0)))) (= (tptp.k2_relat_1 C) B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D A B) (tptp.m2_relset_1 D A B)) (=> (tptp.r1_tarski C A) (or (and (= B tptp.k1_xboole_0) (not (= A tptp.k1_xboole_0))) (tptp.r1_tarski C (tptp.k3_funct_2 A B D (tptp.k2_funct_2 A B D C))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C A B) (tptp.m2_relset_1 C A B)) (=> (=> (= B tptp.k1_xboole_0) (= A tptp.k1_xboole_0)) (= (tptp.k3_funct_2 A B C (tptp.k2_funct_2 A B C A)) A)))) true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (=> (and (tptp.v1_funct_1 E) (tptp.v1_funct_2 E A B) (tptp.m2_relset_1 E A B)) (forall ((F $$unsorted)) (let ((_let_1 (= B tptp.k1_xboole_0))) (=> (and (tptp.v1_funct_1 F) (tptp.v1_funct_2 F B C) (tptp.m2_relset_1 F B C)) (not (and (=> (= C tptp.k1_xboole_0) _let_1) (=> _let_1 (= A tptp.k1_xboole_0)) (not (tptp.r1_tarski (tptp.k3_funct_2 A B E D) (tptp.k3_funct_2 A C (tptp.k1_partfun1 A B B C E F) (tptp.k2_funct_2 B C F D))))))))))) true (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.v1_funct_1 B))) (=> (and (tptp.v1_relat_1 B) _let_1) (=> (= (tptp.k1_relat_1 B) tptp.k1_xboole_0) (and _let_1 (tptp.v1_funct_2 B tptp.k1_xboole_0 A) (tptp.m2_relset_1 B tptp.k1_xboole_0 A)))))) true true true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C tptp.k1_xboole_0 A) (tptp.m2_relset_1 C tptp.k1_xboole_0 A)) (= (tptp.k2_funct_2 tptp.k1_xboole_0 A C B) tptp.k1_xboole_0))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C tptp.k1_xboole_0 A) (tptp.m2_relset_1 C tptp.k1_xboole_0 A)) (= (tptp.k3_funct_2 tptp.k1_xboole_0 A C B) tptp.k1_xboole_0))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k1_tarski A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_1 B) (tptp.m2_relset_1 C _let_1 B)) (=> (not (= B tptp.k1_xboole_0)) (tptp.r2_hidden (tptp.k1_funct_1 C A) B))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k1_tarski A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_1 B) (tptp.m2_relset_1 C _let_1 B)) (=> (not (= B tptp.k1_xboole_0)) (= (tptp.k2_relat_1 C) (tptp.k1_tarski (tptp.k1_funct_1 C A))))))) true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k1_tarski A))) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D _let_1 B) (tptp.m2_relset_1 D _let_1 B)) (=> (not (= B tptp.k1_xboole_0)) (tptp.r1_tarski (tptp.k2_funct_2 _let_1 B D C) (tptp.k1_tarski (tptp.k1_funct_1 D A))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k1_tarski B))) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D A _let_1) (tptp.m2_relset_1 D A _let_1)) (=> (tptp.r2_hidden C A) (= (tptp.k1_funct_1 D C) B))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k1_tarski B))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C A _let_1) (tptp.m2_relset_1 C A _let_1)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k1_tarski B))) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D A _let_1) (tptp.m2_relset_1 D A _let_1)) (= C D))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B A A) (tptp.m2_relset_1 B A A)) (and (= (tptp.k4_relset_1 A A B) A) (tptp.r1_tarski (tptp.k2_relat_1 B) A)))) true true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C A A) (tptp.m2_relset_1 C A A)) (forall ((D $$unsorted)) (=> (and (tptp.v1_relat_1 D) (tptp.v1_funct_1 D)) (=> (tptp.r2_hidden B A) (= (tptp.k1_funct_1 (tptp.k5_relat_1 C D) B) (tptp.k1_funct_1 D (tptp.k1_funct_1 C B)))))))) true true (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B A A) (tptp.m2_relset_1 B A A)) (forall ((C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C A A) (tptp.m2_relset_1 C A A)) (=> (and (= (tptp.k2_relat_1 B) A) (= (tptp.k2_relat_1 C) A)) (= (tptp.k2_relat_1 (tptp.k4_funct_2 A B C)) A)))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k6_partfun1 A))) (=> (tptp.m2_relset_1 B A A) (and (= (tptp.k7_relset_1 A A A A B _let_1) B) (= (tptp.k7_relset_1 A A A A _let_1 B) B))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B A A) (tptp.m2_relset_1 B A A)) (forall ((C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C A A) (tptp.m2_relset_1 C A A)) (=> (and (= (tptp.k4_funct_2 A B C) B) (= (tptp.k2_relat_1 B) A)) (= C (tptp.k6_partfun1 A))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B A A) (tptp.m2_relset_1 B A A)) (forall ((C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C A A) (tptp.m2_relset_1 C A A)) (=> (and (= (tptp.k4_funct_2 A C B) B) (tptp.v2_funct_1 B)) (= C (tptp.k6_partfun1 A))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B A A) (tptp.m2_relset_1 B A A)) (= (tptp.v2_funct_1 B) (forall ((C $$unsorted) (D $$unsorted)) (=> (and (tptp.r2_hidden C A) (tptp.r2_hidden D A) (= (tptp.k1_funct_1 B C) (tptp.k1_funct_1 B D))) (= C D)))))) true (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B A A) (tptp.m2_relset_1 B A A)) (= (tptp.k2_funct_2 A A B A) (tptp.k2_relat_1 B)))) true true (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B A A) (tptp.m2_relset_1 B A A)) (= (tptp.k3_funct_2 A A B (tptp.k2_funct_2 A A B A)) A))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C A B) (tptp.m2_relset_1 C A B)) (= (tptp.v2_funct_2 C A B) (= (tptp.k2_relat_1 C) B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C A B) (tptp.m2_relset_1 C A B)) (= (tptp.v3_funct_2 C A B) (and (tptp.v2_funct_1 C) (tptp.v2_funct_2 C A B))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.m2_relset_1 B A A))) (let ((_let_2 (tptp.v1_funct_2 B A A))) (let ((_let_3 (tptp.v1_funct_1 B))) (=> (and _let_3 _let_2 _let_1) (=> (and (tptp.v2_funct_1 B) (= (tptp.k2_relat_1 B) A)) (and _let_3 _let_2 (tptp.v3_funct_2 B A A) _let_1))))))) true (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B A A) (tptp.m2_relset_1 B A A)) (=> (tptp.v2_funct_1 B) (forall ((C $$unsorted) (D $$unsorted)) (=> (and (tptp.r2_hidden C A) (tptp.r2_hidden D A) (= (tptp.k1_funct_1 B C) (tptp.k1_funct_1 B D))) (= C D)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B A A) (tptp.v3_funct_2 B A A) (tptp.m2_relset_1 B A A)) (forall ((C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C A A) (tptp.v3_funct_2 C A A) (tptp.m2_relset_1 C A A)) (=> (= (tptp.k5_funct_2 A B C) C) (= B (tptp.k6_partfun1 A))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B A A) (tptp.v3_funct_2 B A A) (tptp.m2_relset_1 B A A)) (forall ((C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C A A) (tptp.v3_funct_2 C A A) (tptp.m2_relset_1 C A A)) (=> (= (tptp.k5_funct_2 A B C) (tptp.k6_partfun1 A)) (= C (tptp.k6_funct_2 A B))))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k6_partfun1 A))) (let ((_let_2 (tptp.k6_funct_2 A B))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B A A) (tptp.v3_funct_2 B A A) (tptp.m2_relset_1 B A A)) (and (= (tptp.k5_funct_2 A B _let_2) _let_1) (= (tptp.k5_funct_2 A _let_2 B) _let_1)))))) true true true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C A A) (tptp.v3_funct_2 C A A) (tptp.m2_relset_1 C A A)) (=> (tptp.r1_tarski B A) (and (= (tptp.k2_funct_2 A A C (tptp.k3_funct_2 A A C B)) B) (= (tptp.k3_funct_2 A A C (tptp.k2_funct_2 A A C B)) B))))) true true true true true true true true true true true true true true true true true true true true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C A B) (tptp.m2_relset_1 C A B)) (forall ((D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D A B) (tptp.m2_relset_1 D A B)) (=> (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E A) (= (tptp.k1_funct_1 C E) (tptp.k1_funct_1 D E)))) (= C D)))))) true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D A B) (tptp.m2_relset_1 D A B)) (forall ((E $$unsorted)) (not (and (tptp.r2_hidden E (tptp.k2_funct_2 A B D C)) (forall ((F $$unsorted)) (not (and (tptp.r2_hidden F A) (tptp.r2_hidden F C) (= E (tptp.k1_funct_1 D F)))))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D A B) (tptp.m2_relset_1 D A B)) (forall ((E $$unsorted)) (not (and (tptp.r2_hidden E (tptp.k2_funct_2 A B D C)) (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F A) (not (and (tptp.r2_hidden F C) (= E (tptp.k1_funct_1 D F))))))))))) true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A B))) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D _let_1 C) (tptp.m2_relset_1 D _let_1 C)) (forall ((E $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A B))) (=> (and (tptp.v1_funct_1 E) (tptp.v1_funct_2 E _let_1 C) (tptp.m2_relset_1 E _let_1 C)) (=> (forall ((F $$unsorted) (G $$unsorted)) (let ((_let_1 (tptp.k4_tarski F G))) (=> (and (tptp.r2_hidden F A) (tptp.r2_hidden G B)) (= (tptp.k1_funct_1 D _let_1) (tptp.k1_funct_1 E _let_1))))) (= D E)))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A B))) (=> (and (tptp.v1_funct_1 F) (tptp.v1_funct_2 F _let_1 C) (tptp.m2_relset_1 F _let_1 C)) (=> (and (tptp.r2_hidden D A) (tptp.r2_hidden E B)) (or (= C tptp.k1_xboole_0) (tptp.r2_hidden (tptp.k1_funct_1 F (tptp.k4_tarski D E)) C)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A B))) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D _let_1 C) (tptp.m2_relset_1 D _let_1 C)) (forall ((E $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A B))) (=> (and (tptp.v1_funct_1 E) (tptp.v1_funct_2 E _let_1 C) (tptp.m2_relset_1 E _let_1 C)) (=> (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F A) (forall ((G $$unsorted)) (let ((_let_1 (tptp.k4_tarski F G))) (=> (tptp.m1_subset_1 G B) (= (tptp.k1_funct_1 D _let_1) (tptp.k1_funct_1 E _let_1))))))) (= D E)))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.r2_hidden C (tptp.k1_funct_2 A B)) (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C A B) (tptp.m2_relset_1 C A B)))) true true true true true true true true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.m2_relset_1 C A B))) (let ((_let_2 (tptp.v1_funct_1 C))) (=> (and _let_2 _let_1) (=> (= (tptp.k4_relset_1 A B C) A) (and _let_2 (tptp.v1_funct_2 C A B) _let_1)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.m2_relset_1 C A B))) (let ((_let_2 (tptp.v1_funct_1 C))) (=> (and _let_2 _let_1) (=> (tptp.v1_partfun1 C A B) (and _let_2 (tptp.v1_funct_2 C A B) _let_1)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.m2_relset_1 C A B))) (let ((_let_2 (tptp.v1_funct_1 C))) (=> (and _let_2 _let_1) (=> (and _let_2 (tptp.v1_funct_2 C A B) _let_1) (or (and (= B tptp.k1_xboole_0) (not (= A tptp.k1_xboole_0))) (tptp.v1_partfun1 C A B))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C A B) (tptp.m2_relset_1 C A B)) (=> (=> (= B tptp.k1_xboole_0) (= A tptp.k1_xboole_0)) (tptp.v1_partfun1 (tptp.k3_partfun1 C A B) A B)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B A A) (tptp.m2_relset_1 B A A)) (tptp.v1_partfun1 (tptp.k3_partfun1 B A A) A A))) true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.m2_relset_1 C A B)) (not (and (=> (= B tptp.k1_xboole_0) (= A tptp.k1_xboole_0)) (forall ((D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D A B) (tptp.m2_relset_1 D A B)) (exists ((E $$unsorted)) (and (tptp.r2_hidden E (tptp.k4_relset_1 A B C)) (not (= (tptp.k1_funct_1 D E) (tptp.k1_funct_1 C E))))))))))) true true true true (forall ((A $$unsorted) (B $$unsorted)) (tptp.r1_tarski (tptp.k1_funct_2 A B) (tptp.k4_partfun1 A B))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C A B) (tptp.m2_relset_1 C A B)) (forall ((D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D A B) (tptp.m2_relset_1 D A B)) (=> (tptp.r1_partfun1 C D) (or (and (= B tptp.k1_xboole_0) (not (= A tptp.k1_xboole_0))) (= C D))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B A A) (tptp.m2_relset_1 B A A)) (forall ((C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C A A) (tptp.m2_relset_1 C A A)) (=> (tptp.r1_partfun1 B C) (= B C)))))) true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.m2_relset_1 C A B)) (forall ((D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D A B) (tptp.m2_relset_1 D A B)) (=> (=> (= B tptp.k1_xboole_0) (= A tptp.k1_xboole_0)) (= (tptp.r1_partfun1 C D) (forall ((E $$unsorted)) (=> (tptp.r2_hidden E (tptp.k4_relset_1 A B C)) (= (tptp.k1_funct_1 C E) (tptp.k1_funct_1 D E)))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_funct_1 B) (tptp.m2_relset_1 B A A)) (forall ((C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C A A) (tptp.m2_relset_1 C A A)) (= (tptp.r1_partfun1 B C) (forall ((D $$unsorted)) (=> (tptp.r2_hidden D (tptp.k4_relset_1 A A B)) (= (tptp.k1_funct_1 B D) (tptp.k1_funct_1 C D))))))))) true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.m2_relset_1 C A B)) (not (and (=> (= B tptp.k1_xboole_0) (= A tptp.k1_xboole_0)) (forall ((D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D A B) (tptp.m2_relset_1 D A B)) (not (tptp.r1_partfun1 C D)))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_funct_1 B) (tptp.m2_relset_1 B A A)) (exists ((C $$unsorted)) (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C A A) (tptp.m2_relset_1 C A A) (tptp.r1_partfun1 B C))))) true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.m2_relset_1 C A B)) (forall ((D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.m2_relset_1 D A B)) (forall ((E $$unsorted)) (=> (and (tptp.v1_funct_1 E) (tptp.v1_funct_2 E A B) (tptp.m2_relset_1 E A B)) (=> (and (tptp.r1_partfun1 C E) (tptp.r1_partfun1 D E)) (or (and (= B tptp.k1_xboole_0) (not (= A tptp.k1_xboole_0))) (tptp.r1_partfun1 C D))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_funct_1 B) (tptp.m2_relset_1 B A A)) (forall ((C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.m2_relset_1 C A A)) (forall ((D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D A A) (tptp.m2_relset_1 D A A)) (=> (and (tptp.r1_partfun1 B D) (tptp.r1_partfun1 C D)) (tptp.r1_partfun1 B C)))))))) true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.m2_relset_1 C A B)) (forall ((D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.m2_relset_1 D A B)) (not (and (=> (= B tptp.k1_xboole_0) (= A tptp.k1_xboole_0)) (tptp.r1_partfun1 C D) (forall ((E $$unsorted)) (=> (and (tptp.v1_funct_1 E) (tptp.v1_funct_2 E A B) (tptp.m2_relset_1 E A B)) (not (and (tptp.r1_partfun1 C E) (tptp.r1_partfun1 D E))))))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.m2_relset_1 C A B)) (forall ((D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D A B) (tptp.m2_relset_1 D A B)) (=> (tptp.r1_partfun1 C D) (or (and (= B tptp.k1_xboole_0) (not (= A tptp.k1_xboole_0))) (tptp.r2_hidden D (tptp.k5_partfun1 A B C)))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_funct_1 B) (tptp.m2_relset_1 B A A)) (forall ((C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C A A) (tptp.m2_relset_1 C A A)) (=> (tptp.r1_partfun1 B C) (tptp.r2_hidden C (tptp.k5_partfun1 A A B))))))) true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.m2_relset_1 C A B)) (forall ((D $$unsorted)) (=> (tptp.r2_hidden D (tptp.k5_partfun1 A B C)) (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D A B) (tptp.m2_relset_1 D A B)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.m2_relset_1 C A B)) (tptp.r1_tarski (tptp.k5_partfun1 A B C) (tptp.k1_funct_2 A B)))) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.k5_partfun1 A B (tptp.k3_partfun1 tptp.k1_xboole_0 A B)) (tptp.k1_funct_2 A B))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C A B) (tptp.m2_relset_1 C A B)) (=> (=> (= B tptp.k1_xboole_0) (= A tptp.k1_xboole_0)) (= (tptp.k5_partfun1 A B (tptp.k3_partfun1 C A B)) (tptp.k1_tarski C))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B A A) (tptp.m2_relset_1 B A A)) (= (tptp.k5_partfun1 A A (tptp.k3_partfun1 B A A)) (tptp.k1_tarski B)))) true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.m2_relset_1 C A (tptp.k1_tarski B))) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k1_tarski B))) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D A _let_1) (tptp.m2_relset_1 D A _let_1)) (= (tptp.k5_partfun1 A _let_1 C) (tptp.k1_tarski D))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.m2_relset_1 C A B)) (forall ((D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.m2_relset_1 D A B)) (=> (tptp.r1_tarski D C) (tptp.r1_tarski (tptp.k5_partfun1 A B C) (tptp.k5_partfun1 A B D))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.m2_relset_1 C A B)) (forall ((D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.m2_relset_1 D A B)) (=> (and (tptp.r1_tarski (tptp.k4_relset_1 A B D) (tptp.k4_relset_1 A B C)) (tptp.r1_tarski (tptp.k5_partfun1 A B C) (tptp.k5_partfun1 A B D))) (tptp.r1_tarski D C)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.m2_relset_1 C A B)) (forall ((D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.m2_relset_1 D A B)) (=> (and (tptp.r1_tarski (tptp.k5_partfun1 A B C) (tptp.k5_partfun1 A B D)) (forall ((E $$unsorted)) (not (= B (tptp.k1_tarski E))))) (tptp.r1_tarski D C)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.m2_relset_1 C A B)) (forall ((D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.m2_relset_1 D A B)) (=> (and (forall ((E $$unsorted)) (not (= B (tptp.k1_tarski E)))) (= (tptp.k5_partfun1 A B C) (tptp.k5_partfun1 A B D))) (= C D)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k1_tarski C))) (let ((_let_2 (tptp.k2_zfmisc_1 (tptp.k1_tarski A) (tptp.k1_tarski B)))) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D _let_2 _let_1) (tptp.m2_relset_1 D _let_2 _let_1)) (= D (tptp.k9_funct_2 A B C)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (=> (tptp.r2_hidden C (tptp.k1_funct_2 A B)) (and (= (tptp.k1_relat_1 C) A) (tptp.r1_tarski (tptp.k2_relat_1 C) B))))) (=> (forall ((A $$unsorted)) (not (and (tptp.r2_hidden A tptp.f1_s1_funct_2) (forall ((B $$unsorted)) (not (and (tptp.r2_hidden B tptp.f2_s1_funct_2) (tptp.p1_s1_funct_2 A B))))))) (exists ((A $$unsorted)) (and (tptp.v1_funct_1 A) (tptp.v1_funct_2 A tptp.f1_s1_funct_2 tptp.f2_s1_funct_2) (tptp.m2_relset_1 A tptp.f1_s1_funct_2 tptp.f2_s1_funct_2) (forall ((B $$unsorted)) (=> (tptp.r2_hidden B tptp.f1_s1_funct_2) (tptp.p1_s1_funct_2 B (tptp.k1_funct_1 A B))))))) (=> (forall ((A $$unsorted)) (=> (tptp.r2_hidden A tptp.f1_s2_funct_2) (tptp.r2_hidden (tptp.f3_s2_funct_2 A) tptp.f2_s2_funct_2))) (exists ((A $$unsorted)) (and (tptp.v1_funct_1 A) (tptp.v1_funct_2 A tptp.f1_s2_funct_2 tptp.f2_s2_funct_2) (tptp.m2_relset_1 A tptp.f1_s2_funct_2 tptp.f2_s2_funct_2) (forall ((B $$unsorted)) (=> (tptp.r2_hidden B tptp.f1_s2_funct_2) (= (tptp.k1_funct_1 A B) (tptp.f3_s2_funct_2 B))))))) (=> (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.f1_s3_funct_2) (exists ((B $$unsorted)) (and (tptp.m1_subset_1 B tptp.f2_s3_funct_2) (tptp.p1_s3_funct_2 A B))))) (exists ((A $$unsorted)) (and (tptp.v1_funct_1 A) (tptp.v1_funct_2 A tptp.f1_s3_funct_2 tptp.f2_s3_funct_2) (tptp.m2_relset_1 A tptp.f1_s3_funct_2 tptp.f2_s3_funct_2) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.f1_s3_funct_2) (tptp.p1_s3_funct_2 B (tptp.k8_funct_2 tptp.f1_s3_funct_2 tptp.f2_s3_funct_2 A B))))))) (exists ((A $$unsorted)) (and (tptp.v1_funct_1 A) (tptp.v1_funct_2 A tptp.f1_s4_funct_2 tptp.f2_s4_funct_2) (tptp.m2_relset_1 A tptp.f1_s4_funct_2 tptp.f2_s4_funct_2) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.f1_s4_funct_2) (= (tptp.k8_funct_2 tptp.f1_s4_funct_2 tptp.f2_s4_funct_2 A B) (tptp.f3_s4_funct_2 B)))))) (=> (forall ((A $$unsorted) (B $$unsorted)) (not (and (tptp.r2_hidden A tptp.f1_s5_funct_2) (tptp.r2_hidden B tptp.f2_s5_funct_2) (forall ((C $$unsorted)) (not (and (tptp.r2_hidden C tptp.f3_s5_funct_2) (tptp.p1_s5_funct_2 A B C))))))) (exists ((A $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 tptp.f1_s5_funct_2 tptp.f2_s5_funct_2))) (and (tptp.v1_funct_1 A) (tptp.v1_funct_2 A _let_1 tptp.f3_s5_funct_2) (tptp.m2_relset_1 A _let_1 tptp.f3_s5_funct_2) (forall ((B $$unsorted) (C $$unsorted)) (=> (and (tptp.r2_hidden B tptp.f1_s5_funct_2) (tptp.r2_hidden C tptp.f2_s5_funct_2)) (tptp.p1_s5_funct_2 B C (tptp.k1_funct_1 A (tptp.k4_tarski B C))))))))) (=> (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.r2_hidden A tptp.f1_s6_funct_2) (tptp.r2_hidden B tptp.f2_s6_funct_2)) (tptp.r2_hidden (tptp.f4_s6_funct_2 A B) tptp.f3_s6_funct_2))) (exists ((A $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 tptp.f1_s6_funct_2 tptp.f2_s6_funct_2))) (and (tptp.v1_funct_1 A) (tptp.v1_funct_2 A _let_1 tptp.f3_s6_funct_2) (tptp.m2_relset_1 A _let_1 tptp.f3_s6_funct_2) (forall ((B $$unsorted) (C $$unsorted)) (=> (and (tptp.r2_hidden B tptp.f1_s6_funct_2) (tptp.r2_hidden C tptp.f2_s6_funct_2)) (= (tptp.k1_funct_1 A (tptp.k4_tarski B C)) (tptp.f4_s6_funct_2 B C)))))))) (=> (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.f1_s7_funct_2) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.f2_s7_funct_2) (exists ((C $$unsorted)) (and (tptp.m1_subset_1 C tptp.f3_s7_funct_2) (tptp.p1_s7_funct_2 A B C))))))) (exists ((A $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 tptp.f1_s7_funct_2 tptp.f2_s7_funct_2))) (and (tptp.v1_funct_1 A) (tptp.v1_funct_2 A _let_1 tptp.f3_s7_funct_2) (tptp.m2_relset_1 A _let_1 tptp.f3_s7_funct_2) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.f1_s7_funct_2) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C tptp.f2_s7_funct_2) (tptp.p1_s7_funct_2 B C (tptp.k1_funct_1 A (tptp.k4_tarski B C))))))))))) (exists ((A $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 tptp.f1_s8_funct_2 tptp.f2_s8_funct_2))) (and (tptp.v1_funct_1 A) (tptp.v1_funct_2 A _let_1 tptp.f3_s8_funct_2) (tptp.m2_relset_1 A _let_1 tptp.f3_s8_funct_2) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.f1_s8_funct_2) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C tptp.f2_s8_funct_2) (= (tptp.k1_funct_1 A (tptp.k4_tarski B C)) (tptp.f4_s8_funct_2 B C))))))))) (=> (forall ((A $$unsorted)) (let ((_let_1 (tptp.p1_s9_funct_2 A))) (=> (tptp.r2_hidden A tptp.f1_s9_funct_2) (and (=> _let_1 (tptp.r2_hidden (tptp.f3_s9_funct_2 A) tptp.f2_s9_funct_2)) (=> (not _let_1) (tptp.r2_hidden (tptp.f4_s9_funct_2 A) tptp.f2_s9_funct_2)))))) (exists ((A $$unsorted)) (and (tptp.v1_funct_1 A) (tptp.v1_funct_2 A tptp.f1_s9_funct_2 tptp.f2_s9_funct_2) (tptp.m2_relset_1 A tptp.f1_s9_funct_2 tptp.f2_s9_funct_2) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k1_funct_1 A B))) (let ((_let_2 (tptp.p1_s9_funct_2 B))) (=> (tptp.r2_hidden B tptp.f1_s9_funct_2) (and (=> _let_2 (= _let_1 (tptp.f3_s9_funct_2 B))) (=> (not _let_2) (= _let_1 (tptp.f4_s9_funct_2 B))))))))))) (exists ((A $$unsorted)) (and (tptp.v1_funct_1 A) (tptp.v1_funct_2 A tptp.f1_s10_funct_2 tptp.f2_s10_funct_2) (tptp.m2_relset_1 A tptp.f1_s10_funct_2 tptp.f2_s10_funct_2) (= (tptp.k8_funct_2 tptp.f1_s10_funct_2 tptp.f2_s10_funct_2 A tptp.f3_s10_funct_2) tptp.f4_s10_funct_2) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.f1_s10_funct_2) (=> (not (= B tptp.f3_s10_funct_2)) (= (tptp.k8_funct_2 tptp.f1_s10_funct_2 tptp.f2_s10_funct_2 A B) (tptp.f5_s10_funct_2 B))))))) (=> (not (= tptp.f3_s11_funct_2 tptp.f4_s11_funct_2)) (exists ((A $$unsorted)) (and (tptp.v1_funct_1 A) (tptp.v1_funct_2 A tptp.f1_s11_funct_2 tptp.f2_s11_funct_2) (tptp.m2_relset_1 A tptp.f1_s11_funct_2 tptp.f2_s11_funct_2) (= (tptp.k8_funct_2 tptp.f1_s11_funct_2 tptp.f2_s11_funct_2 A tptp.f3_s11_funct_2) tptp.f5_s11_funct_2) (= (tptp.k8_funct_2 tptp.f1_s11_funct_2 tptp.f2_s11_funct_2 A tptp.f4_s11_funct_2) tptp.f6_s11_funct_2) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.f1_s11_funct_2) (not (and (not (= B tptp.f3_s11_funct_2)) (not (= B tptp.f4_s11_funct_2)) (not (= (tptp.k8_funct_2 tptp.f1_s11_funct_2 tptp.f2_s11_funct_2 A B) (tptp.f7_s11_funct_2 B)))))))))) (=> (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.f1_s12_funct_2) (tptp.r2_hidden (tptp.f3_s12_funct_2 A) tptp.f2_s12_funct_2))) (exists ((A $$unsorted)) (and (tptp.v1_funct_1 A) (tptp.v1_funct_2 A tptp.f1_s12_funct_2 tptp.f2_s12_funct_2) (tptp.m2_relset_1 A tptp.f1_s12_funct_2 tptp.f2_s12_funct_2) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.f1_s12_funct_2) (= (tptp.k8_funct_2 tptp.f1_s12_funct_2 tptp.f2_s12_funct_2 A B) (tptp.f3_s12_funct_2 B))))))) (=> (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.f1_s13_funct_2) (tptp.m1_subset_1 (tptp.f3_s13_funct_2 A) tptp.f2_s13_funct_2))) (exists ((A $$unsorted)) (and (tptp.v1_funct_1 A) (tptp.v1_funct_2 A tptp.f1_s13_funct_2 tptp.f2_s13_funct_2) (tptp.m2_relset_1 A tptp.f1_s13_funct_2 tptp.f2_s13_funct_2) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.f1_s13_funct_2) (= (tptp.k8_funct_2 tptp.f1_s13_funct_2 tptp.f2_s13_funct_2 A B) (tptp.f3_s13_funct_2 B))))))) (=> (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.f1_s14_funct_2) (exists ((B $$unsorted)) (and (tptp.m1_subset_1 B tptp.f2_s14_funct_2) (tptp.p1_s14_funct_2 A B))))) (exists ((A $$unsorted)) (and (tptp.v1_funct_1 A) (tptp.v1_funct_2 A tptp.f1_s14_funct_2 tptp.f2_s14_funct_2) (tptp.m2_relset_1 A tptp.f1_s14_funct_2 tptp.f2_s14_funct_2) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.f1_s14_funct_2) (tptp.p1_s14_funct_2 B (tptp.k8_funct_2 tptp.f1_s14_funct_2 tptp.f2_s14_funct_2 A B))))))) true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C A B) (tptp.m1_relset_1 C A B)) (tptp.m1_subset_1 (tptp.k2_funct_2 A B C D) (tptp.k1_zfmisc_1 B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C A B) (tptp.m1_relset_1 C A B)) (= (tptp.k2_funct_2 A B C D) (tptp.k9_relat_1 C D)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.m1_relset_1 C A B)) (tptp.m1_subset_1 (tptp.k3_funct_2 A B C D) (tptp.k1_zfmisc_1 A)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.m1_relset_1 C A B)) (= (tptp.k3_funct_2 A B C D) (tptp.k10_relat_1 C D)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k4_funct_2 A B C))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B A A) (tptp.m1_relset_1 B A A) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C A A) (tptp.m1_relset_1 C A A)) (and (tptp.v1_funct_1 _let_1) (tptp.v1_funct_2 _let_1 A A) (tptp.m2_relset_1 _let_1 A A))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B A A) (tptp.m1_relset_1 B A A) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C A A) (tptp.m1_relset_1 C A A)) (= (tptp.k4_funct_2 A B C) (tptp.k5_relat_1 B C)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k5_funct_2 A B C))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B A A) (tptp.v3_funct_2 B A A) (tptp.m1_relset_1 B A A) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C A A) (tptp.v3_funct_2 C A A) (tptp.m1_relset_1 C A A)) (and (tptp.v1_funct_1 _let_1) (tptp.v1_funct_2 _let_1 A A) (tptp.v3_funct_2 _let_1 A A) (tptp.m2_relset_1 _let_1 A A))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B A A) (tptp.v3_funct_2 B A A) (tptp.m1_relset_1 B A A) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C A A) (tptp.v3_funct_2 C A A) (tptp.m1_relset_1 C A A)) (= (tptp.k5_funct_2 A B C) (tptp.k5_relat_1 B C)))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k6_funct_2 A B))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B A A) (tptp.v3_funct_2 B A A) (tptp.m1_relset_1 B A A)) (and (tptp.v1_funct_1 _let_1) (tptp.v1_funct_2 _let_1 A A) (tptp.v3_funct_2 _let_1 A A) (tptp.m2_relset_1 _let_1 A A))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B A A) (tptp.v3_funct_2 B A A) (tptp.m1_relset_1 B A A)) (= (tptp.k6_funct_2 A B) (tptp.k2_funct_1 B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (let ((_let_1 (tptp.k7_funct_2 A B C D E))) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.v1_funct_1 D) (tptp.v1_funct_2 D A B) (tptp.m1_relset_1 D A B) (tptp.v1_funct_1 E) (tptp.v1_funct_2 E B C) (tptp.m1_relset_1 E B C)) (and (tptp.v1_funct_1 _let_1) (tptp.v1_funct_2 _let_1 A C) (tptp.m2_relset_1 _let_1 A C))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.v1_funct_1 D) (tptp.v1_funct_2 D A B) (tptp.m1_relset_1 D A B) (tptp.v1_funct_1 E) (tptp.v1_funct_2 E B C) (tptp.m1_relset_1 E B C)) (= (tptp.k7_funct_2 A B C D E) (tptp.k5_relat_1 D E)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C A B) (tptp.m1_relset_1 C A B) (tptp.m1_subset_1 D A)) (tptp.m1_subset_1 (tptp.k8_funct_2 A B C D) B))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C A B) (tptp.m1_relset_1 C A B) (tptp.m1_subset_1 D A)) (= (tptp.k8_funct_2 A B C D) (tptp.k1_funct_1 C D)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k1_tarski C))) (let ((_let_2 (tptp.k2_zfmisc_1 (tptp.k1_tarski A) (tptp.k1_tarski B)))) (let ((_let_3 (tptp.k9_funct_2 A B C))) (and (tptp.v1_funct_1 _let_3) (tptp.v1_funct_2 _let_3 _let_2 _let_1) (tptp.m2_relset_1 _let_3 _let_2 _let_1)))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 tptp.k1_xboole_0 tptp.k1_xboole_0))) (let ((_let_2 (tptp.v1_funct_2 A _let_1 tptp.k1_xboole_0))) (let ((_let_3 (tptp.v1_funct_1 A))) (=> (tptp.m1_relset_1 A _let_1 tptp.k1_xboole_0) (=> (and _let_3 _let_2) (and _let_3 (tptp.v1_xboole_0 A) _let_2 (tptp.v1_binop_1 A tptp.k1_xboole_0) (tptp.v2_binop_1 A tptp.k1_xboole_0)))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted) (C $$unsorted)) (= (tptp.k1_binop_1 A B C) (tptp.k1_funct_1 A (tptp.k4_tarski B C)))))) true (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (=> (not (tptp.v1_xboole_0 C)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A B))) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D _let_1 C) (tptp.m2_relset_1 D _let_1 C)) (forall ((E $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A B))) (=> (and (tptp.v1_funct_1 E) (tptp.v1_funct_2 E _let_1 C) (tptp.m2_relset_1 E _let_1 C)) (=> (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F A) (forall ((G $$unsorted)) (=> (tptp.m1_subset_1 G B) (= (tptp.k2_binop_1 A B C D F G) (tptp.k2_binop_1 A B C E F G)))))) (= D E)))))))))))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_1 A) (tptp.m2_relset_1 B _let_1 A)) (= (tptp.v1_binop_1 B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C A) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D A) (= (tptp.k1_binop_1 B C D) (tptp.k1_binop_1 B D C)))))))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_1 A) (tptp.m2_relset_1 B _let_1 A)) (= (tptp.v2_binop_1 B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C A) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D A) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E A) (= (tptp.k1_binop_1 B C (tptp.k1_binop_1 B D E)) (tptp.k1_binop_1 B (tptp.k1_binop_1 B C D) E)))))))))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_1 A) (tptp.m2_relset_1 B _let_1 A)) (= (tptp.v3_binop_1 B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C A) (= (tptp.k1_binop_1 B C C) C))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B A) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_1 A) (tptp.m2_relset_1 C _let_1 A)) (= (tptp.r1_binop_1 A B C) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D A) (= (tptp.k1_binop_1 C B D) D))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B A) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_1 A) (tptp.m2_relset_1 C _let_1 A)) (= (tptp.r2_binop_1 A B C) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D A) (= (tptp.k1_binop_1 C D B) D))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B A) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_1 A) (tptp.m2_relset_1 C _let_1 A)) (= (tptp.r3_binop_1 A B C) (and (tptp.r1_binop_1 A B C) (tptp.r2_binop_1 A B C)))))))) true true true true true true true true (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_1 A) (tptp.m2_relset_1 B _let_1 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C A) (= (tptp.r3_binop_1 A C B) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D A) (and (= (tptp.k1_binop_1 B C D) D) (= (tptp.k1_binop_1 B D C) D)))))))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_1 A) (tptp.m2_relset_1 B _let_1 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C A) (=> (tptp.v1_binop_1 B A) (= (tptp.r3_binop_1 A C B) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D A) (= (tptp.k1_binop_1 B C D) D)))))))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_1 A) (tptp.m2_relset_1 B _let_1 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C A) (=> (tptp.v1_binop_1 B A) (= (tptp.r3_binop_1 A C B) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D A) (= (tptp.k1_binop_1 B D C) D)))))))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_1 A) (tptp.m2_relset_1 B _let_1 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C A) (=> (tptp.v1_binop_1 B A) (= (tptp.r3_binop_1 A C B) (tptp.r1_binop_1 A C B)))))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_1 A) (tptp.m2_relset_1 B _let_1 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C A) (=> (tptp.v1_binop_1 B A) (= (tptp.r3_binop_1 A C B) (tptp.r2_binop_1 A C B)))))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_1 A) (tptp.m2_relset_1 B _let_1 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C A) (=> (tptp.v1_binop_1 B A) (= (tptp.r1_binop_1 A C B) (tptp.r2_binop_1 A C B)))))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_1 A) (tptp.m2_relset_1 B _let_1 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C A) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D A) (=> (and (tptp.r1_binop_1 A C B) (tptp.r2_binop_1 A D B)) (= C D))))))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_1 A) (tptp.m2_relset_1 B _let_1 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C A) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D A) (=> (and (tptp.r3_binop_1 A C B) (tptp.r3_binop_1 A D B)) (= C D))))))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_1 A) (tptp.m2_relset_1 B _let_1 A)) (=> (exists ((C $$unsorted)) (and (tptp.m1_subset_1 C A) (tptp.r3_binop_1 A C B))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C A) (= (= C (tptp.k3_binop_1 A B)) (tptp.r3_binop_1 A C B)))))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_1 A) (tptp.m2_relset_1 B _let_1 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_1 A) (tptp.m2_relset_1 C _let_1 A)) (= (tptp.r4_binop_1 A B C) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D A) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E A) (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F A) (= (tptp.k1_binop_1 B D (tptp.k1_binop_1 C E F)) (tptp.k1_binop_1 C (tptp.k1_binop_1 B D E) (tptp.k1_binop_1 B D F)))))))))))))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_1 A) (tptp.m2_relset_1 B _let_1 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_1 A) (tptp.m2_relset_1 C _let_1 A)) (= (tptp.r5_binop_1 A B C) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D A) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E A) (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F A) (= (tptp.k1_binop_1 B (tptp.k1_binop_1 C D E) F) (tptp.k1_binop_1 C (tptp.k1_binop_1 B D F) (tptp.k1_binop_1 B E F)))))))))))))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_1 A) (tptp.m2_relset_1 B _let_1 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_1 A) (tptp.m2_relset_1 C _let_1 A)) (= (tptp.r6_binop_1 A B C) (and (tptp.r4_binop_1 A B C) (tptp.r5_binop_1 A B C))))))))) true true true true (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_1 A) (tptp.m2_relset_1 B _let_1 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_1 A) (tptp.m2_relset_1 C _let_1 A)) (= (tptp.r6_binop_1 A B C) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D A) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E A) (forall ((F $$unsorted)) (let ((_let_1 (tptp.k1_binop_1 B D F))) (=> (tptp.m1_subset_1 F A) (and (= (tptp.k1_binop_1 B D (tptp.k1_binop_1 C E F)) (tptp.k1_binop_1 C (tptp.k1_binop_1 B D E) _let_1)) (= (tptp.k1_binop_1 B (tptp.k1_binop_1 C D E) F) (tptp.k1_binop_1 C _let_1 (tptp.k1_binop_1 B E F)))))))))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_1 A) (tptp.m2_relset_1 B _let_1 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_1 A) (tptp.m2_relset_1 C _let_1 A)) (=> (tptp.v1_binop_1 C A) (= (tptp.r6_binop_1 A C B) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D A) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E A) (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F A) (= (tptp.k2_binop_1 A A A C D (tptp.k2_binop_1 A A A B E F)) (tptp.k2_binop_1 A A A B (tptp.k2_binop_1 A A A C D E) (tptp.k2_binop_1 A A A C D F))))))))))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_1 A) (tptp.m2_relset_1 B _let_1 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_1 A) (tptp.m2_relset_1 C _let_1 A)) (=> (tptp.v1_binop_1 C A) (= (tptp.r6_binop_1 A C B) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D A) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E A) (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F A) (= (tptp.k2_binop_1 A A A C (tptp.k2_binop_1 A A A B D E) F) (tptp.k2_binop_1 A A A B (tptp.k2_binop_1 A A A C D F) (tptp.k2_binop_1 A A A C E F))))))))))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_1 A) (tptp.m2_relset_1 B _let_1 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_1 A) (tptp.m2_relset_1 C _let_1 A)) (=> (tptp.v1_binop_1 C A) (= (tptp.r6_binop_1 A C B) (tptp.r4_binop_1 A C B))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_1 A) (tptp.m2_relset_1 B _let_1 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_1 A) (tptp.m2_relset_1 C _let_1 A)) (=> (tptp.v1_binop_1 C A) (= (tptp.r6_binop_1 A C B) (tptp.r5_binop_1 A C B))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_1 A) (tptp.m2_relset_1 B _let_1 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_1 A) (tptp.m2_relset_1 C _let_1 A)) (=> (tptp.v1_binop_1 C A) (= (tptp.r5_binop_1 A C B) (tptp.r4_binop_1 A C B))))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B A A) (tptp.m2_relset_1 B A A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_1 A) (tptp.m2_relset_1 C _let_1 A)) (= (tptp.r7_binop_1 A B C) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D A) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E A) (= (tptp.k1_funct_1 B (tptp.k1_binop_1 C D E)) (tptp.k1_binop_1 C (tptp.k1_funct_1 B D) (tptp.k1_funct_1 B E))))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_1 A) (tptp.m2_relset_1 B _let_1 A)) (= (tptp.v1_binop_1 B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C A) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D A) (= (tptp.k2_binop_1 A A A B C D) (tptp.k2_binop_1 A A A B D C)))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_1 A) (tptp.m2_relset_1 B _let_1 A)) (= (tptp.v2_binop_1 B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C A) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D A) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E A) (= (tptp.k2_binop_1 A A A B C (tptp.k2_binop_1 A A A B D E)) (tptp.k2_binop_1 A A A B (tptp.k2_binop_1 A A A B C D) E)))))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_1 A) (tptp.m2_relset_1 B _let_1 A)) (= (tptp.v3_binop_1 B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C A) (= (tptp.k2_binop_1 A A A B C C) C))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B A) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_1 A) (tptp.m2_relset_1 C _let_1 A)) (= (tptp.r1_binop_1 A B C) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D A) (= (tptp.k2_binop_1 A A A C B D) D))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B A) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_1 A) (tptp.m2_relset_1 C _let_1 A)) (= (tptp.r2_binop_1 A B C) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D A) (= (tptp.k2_binop_1 A A A C D B) D))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_1 A) (tptp.m2_relset_1 B _let_1 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_1 A) (tptp.m2_relset_1 C _let_1 A)) (= (tptp.r4_binop_1 A B C) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D A) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E A) (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F A) (= (tptp.k2_binop_1 A A A B D (tptp.k2_binop_1 A A A C E F)) (tptp.k2_binop_1 A A A C (tptp.k2_binop_1 A A A B D E) (tptp.k2_binop_1 A A A B D F)))))))))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_1 A) (tptp.m2_relset_1 B _let_1 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_1 A) (tptp.m2_relset_1 C _let_1 A)) (= (tptp.r5_binop_1 A B C) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D A) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E A) (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F A) (= (tptp.k2_binop_1 A A A B (tptp.k2_binop_1 A A A C D E) F) (tptp.k2_binop_1 A A A C (tptp.k2_binop_1 A A A B D F) (tptp.k2_binop_1 A A A B E F)))))))))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B A A) (tptp.m2_relset_1 B A A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_1 A) (tptp.m2_relset_1 C _let_1 A)) (= (tptp.r7_binop_1 A B C) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D A) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E A) (= (tptp.k8_funct_2 A A B (tptp.k2_binop_1 A A A C D E)) (tptp.k2_binop_1 A A A C (tptp.k8_funct_2 A A B D) (tptp.k8_funct_2 A A B E))))))))))))))) (=> (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.f1_s1_binop_1) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.f1_s1_binop_1) (exists ((C $$unsorted)) (and (tptp.m1_subset_1 C tptp.f1_s1_binop_1) (tptp.p1_s1_binop_1 A B C))))))) (exists ((A $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 tptp.f1_s1_binop_1 tptp.f1_s1_binop_1))) (and (tptp.v1_funct_1 A) (tptp.v1_funct_2 A _let_1 tptp.f1_s1_binop_1) (tptp.m2_relset_1 A _let_1 tptp.f1_s1_binop_1) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.f1_s1_binop_1) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C tptp.f1_s1_binop_1) (tptp.p1_s1_binop_1 B C (tptp.k2_binop_1 tptp.f1_s1_binop_1 tptp.f1_s1_binop_1 tptp.f1_s1_binop_1 A B C)))))))))) (exists ((A $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 tptp.f1_s2_binop_1 tptp.f1_s2_binop_1))) (and (tptp.v1_funct_1 A) (tptp.v1_funct_2 A _let_1 tptp.f1_s2_binop_1) (tptp.m2_relset_1 A _let_1 tptp.f1_s2_binop_1) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.f1_s2_binop_1) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C tptp.f1_s2_binop_1) (= (tptp.k2_binop_1 tptp.f1_s2_binop_1 tptp.f1_s2_binop_1 tptp.f1_s2_binop_1 A B C) (tptp.f2_s2_binop_1 B C))))))))) true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A B))) (=> (and (not (tptp.v1_xboole_0 A)) (not (tptp.v1_xboole_0 B)) (tptp.v1_funct_1 D) (tptp.v1_funct_2 D _let_1 C) (tptp.m1_relset_1 D _let_1 C) (tptp.m1_subset_1 E A) (tptp.m1_subset_1 F B)) (tptp.m1_subset_1 (tptp.k2_binop_1 A B C D E F) C)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A B))) (=> (and (not (tptp.v1_xboole_0 A)) (not (tptp.v1_xboole_0 B)) (tptp.v1_funct_1 D) (tptp.v1_funct_2 D _let_1 C) (tptp.m1_relset_1 D _let_1 C) (tptp.m1_subset_1 E A) (tptp.m1_subset_1 F B)) (= (tptp.k2_binop_1 A B C D E F) (tptp.k1_binop_1 D E F))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_1 A) (tptp.m1_relset_1 B _let_1 A)) (tptp.m1_subset_1 (tptp.k3_binop_1 A B) A)))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k2_funcop_1 A B))) (and (tptp.v1_relat_1 _let_1) (tptp.v1_funct_1 _let_1)))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k2_funcop_1 tptp.k1_xboole_0 A))) (and (tptp.v1_xboole_0 _let_1) (tptp.v1_relat_1 _let_1) (tptp.v1_funct_1 _let_1) (tptp.v2_funct_1 _let_1)))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k2_funcop_1 B A))) (=> (tptp.v1_xboole_0 B) (and (tptp.v1_xboole_0 _let_1) (tptp.v1_relat_1 _let_1) (tptp.v1_funct_1 _let_1) (tptp.v2_funct_1 _let_1))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k3_funcop_1 A B C))) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (and (tptp.v1_relat_1 _let_1) (tptp.v1_funct_1 _let_1))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k4_funcop_1 A B C))) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (and (tptp.v1_relat_1 _let_1) (tptp.v1_funct_1 _let_1))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k5_funcop_1 A B C))) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (and (tptp.v1_relat_1 _let_1) (tptp.v1_funct_1 _let_1))))) (exists ((A $$unsorted)) (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_funcop_1 A))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k1_funct_1 A B))) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_funcop_1 A)) (and (tptp.v1_relat_1 _let_1) (tptp.v1_funct_1 _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k5_relat_1 B A))) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_funcop_1 A) (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (and (tptp.v1_relat_1 _let_1) (tptp.v1_funct_1 _let_1) (tptp.v1_funcop_1 _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k2_funcop_1 A B))) (=> (not (tptp.v1_xboole_0 B)) (and (tptp.v1_relat_1 _let_1) (tptp.v2_relat_1 _let_1) (tptp.v1_funct_1 _let_1))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (forall ((B $$unsorted) (C $$unsorted)) (=> (= A (tptp.k2_zfmisc_1 B C)) (or (= B tptp.k1_xboole_0) (= C tptp.k1_xboole_0) (and (= (tptp.k1_relat_1 A) B) (= (tptp.k2_relat_1 A) C))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k6_partfun1 A))) (= (tptp.k12_funct_3 A) (tptp.k13_funct_3 _let_1 _let_1)))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (forall ((C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (=> (= (tptp.k1_relat_1 A) (tptp.k1_relat_1 B)) (= (tptp.k1_relat_1 (tptp.k5_relat_1 C A)) (tptp.k1_relat_1 (tptp.k5_relat_1 C B)))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (=> (and (= (tptp.k1_relat_1 A) tptp.k1_xboole_0) (= (tptp.k1_relat_1 B) tptp.k1_xboole_0)) (= A B)))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (= (= B (tptp.k1_funcop_1 A)) (and (= (tptp.k1_relat_1 B) (tptp.k1_relat_1 A)) (forall ((C $$unsorted)) (=> (tptp.r2_hidden C (tptp.k1_relat_1 A)) (and (forall ((D $$unsorted) (E $$unsorted)) (=> (= (tptp.k1_funct_1 A C) (tptp.k4_tarski D E)) (= (tptp.k1_funct_1 B C) (tptp.k4_tarski E D)))) (not (and (not (= (tptp.k1_funct_1 A C) (tptp.k1_funct_1 B C))) (forall ((D $$unsorted) (E $$unsorted)) (not (= (tptp.k1_funct_1 A C) (tptp.k4_tarski D E))))))))))))))) true (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (= (tptp.k13_funct_3 A B) (tptp.k1_funcop_1 (tptp.k13_funct_3 B A))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted)) (= (tptp.k1_funcop_1 (tptp.k7_relat_1 A B)) (tptp.k7_relat_1 (tptp.k1_funcop_1 A) B))))) true (forall ((A $$unsorted)) (let ((_let_1 (tptp.k12_funct_3 A))) (= (tptp.k1_funcop_1 _let_1) _let_1))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (forall ((C $$unsorted)) (= (tptp.k7_relat_1 (tptp.k13_funct_3 A B) C) (tptp.k13_funct_3 (tptp.k7_relat_1 A C) B))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (forall ((C $$unsorted)) (= (tptp.k7_relat_1 (tptp.k13_funct_3 A B) C) (tptp.k13_funct_3 A (tptp.k7_relat_1 B C)))))))) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.k2_funcop_1 A B) (tptp.k2_zfmisc_1 A (tptp.k1_tarski B)))) true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.r2_hidden B A) (= (tptp.k1_funct_1 (tptp.k2_funcop_1 A C) B) C))) (forall ((A $$unsorted) (B $$unsorted)) (=> (not (= A tptp.k1_xboole_0)) (= (tptp.k2_relat_1 (tptp.k2_funcop_1 A B)) (tptp.k1_tarski B)))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted)) (=> (= (tptp.k2_relat_1 A) (tptp.k1_tarski B)) (= A (tptp.k2_funcop_1 (tptp.k1_relat_1 A) B)))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k2_funcop_1 tptp.k1_xboole_0 A))) (and (= (tptp.k1_relat_1 _let_1) tptp.k1_xboole_0) (= (tptp.k2_relat_1 _let_1) tptp.k1_xboole_0)))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted)) (=> (forall ((C $$unsorted)) (=> (tptp.r2_hidden C (tptp.k1_relat_1 A)) (= (tptp.k1_funct_1 A C) B))) (= A (tptp.k2_funcop_1 (tptp.k1_relat_1 A) B)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.k7_relat_1 (tptp.k2_funcop_1 A B) C) (tptp.k2_funcop_1 (tptp.k3_xboole_0 A C) B))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k2_funcop_1 A B))) (and (= (tptp.k1_relat_1 _let_1) A) (tptp.r1_tarski (tptp.k2_relat_1 _let_1) (tptp.k1_tarski B))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.r2_hidden B C) (= (tptp.k10_relat_1 (tptp.k2_funcop_1 A B) C) A))) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.k10_relat_1 (tptp.k2_funcop_1 A B) (tptp.k1_tarski B)) A)) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (not (tptp.r2_hidden B C)) (= (tptp.k10_relat_1 (tptp.k2_funcop_1 A B) C) tptp.k1_xboole_0))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted) (C $$unsorted)) (=> (tptp.r2_hidden C (tptp.k1_relat_1 A)) (= (tptp.k5_relat_1 (tptp.k2_funcop_1 B C) A) (tptp.k2_funcop_1 B (tptp.k1_funct_1 A C))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted) (C $$unsorted)) (not (and (not (= B tptp.k1_xboole_0)) (tptp.r2_hidden C (tptp.k1_relat_1 A)) (= (tptp.k1_relat_1 (tptp.k5_relat_1 (tptp.k2_funcop_1 B C) A)) tptp.k1_xboole_0)))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted) (C $$unsorted)) (= (tptp.k5_relat_1 A (tptp.k2_funcop_1 B C)) (tptp.k2_funcop_1 (tptp.k10_relat_1 A B) C))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.k1_funcop_1 (tptp.k2_funcop_1 A (tptp.k4_tarski B C))) (tptp.k2_funcop_1 A (tptp.k4_tarski C B)))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (forall ((C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (= (tptp.k3_funcop_1 A B C) (tptp.k5_relat_1 (tptp.k13_funct_3 B C) A)))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (forall ((C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k3_funcop_1 C A B))) (=> (and (tptp.v1_relat_1 D) (tptp.v1_funct_1 D)) (=> (and (= (tptp.k1_relat_1 D) (tptp.k1_relat_1 _let_1)) (forall ((E $$unsorted)) (=> (tptp.r2_hidden E (tptp.k1_relat_1 (tptp.k3_funcop_1 C A B))) (= (tptp.k1_funct_1 D E) (tptp.k1_binop_1 C (tptp.k1_funct_1 A E) (tptp.k1_funct_1 B E)))))) (= D _let_1))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (forall ((C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k3_funcop_1 C A B))) (=> (tptp.r2_hidden D (tptp.k1_relat_1 _let_1)) (= (tptp.k1_funct_1 _let_1 D) (tptp.k1_binop_1 C (tptp.k1_funct_1 A D) (tptp.k1_funct_1 B D)))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (forall ((C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (forall ((D $$unsorted) (E $$unsorted)) (=> (and (tptp.v1_relat_1 E) (tptp.v1_funct_1 E)) (=> (= (tptp.k7_relat_1 A D) (tptp.k7_relat_1 B D)) (= (tptp.k7_relat_1 (tptp.k3_funcop_1 E A C) D) (tptp.k7_relat_1 (tptp.k3_funcop_1 E B C) D))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (forall ((C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (forall ((D $$unsorted) (E $$unsorted)) (=> (and (tptp.v1_relat_1 E) (tptp.v1_funct_1 E)) (=> (= (tptp.k7_relat_1 A D) (tptp.k7_relat_1 B D)) (= (tptp.k7_relat_1 (tptp.k3_funcop_1 E C A) D) (tptp.k7_relat_1 (tptp.k3_funcop_1 E C B) D))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (forall ((C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (forall ((D $$unsorted)) (=> (and (tptp.v1_relat_1 D) (tptp.v1_funct_1 D)) (= (tptp.k5_relat_1 C (tptp.k3_funcop_1 D A B)) (tptp.k3_funcop_1 D (tptp.k5_relat_1 C A) (tptp.k5_relat_1 C B))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (forall ((C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (forall ((D $$unsorted)) (=> (and (tptp.v1_relat_1 D) (tptp.v1_funct_1 D)) (= (tptp.k5_relat_1 (tptp.k3_funcop_1 D B C) A) (tptp.k3_funcop_1 (tptp.k5_relat_1 D A) B C)))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (forall ((C $$unsorted)) (= (tptp.k4_funcop_1 A B C) (tptp.k5_relat_1 (tptp.k13_funct_3 B (tptp.k2_funcop_1 (tptp.k1_relat_1 B) C)) A))))))) true (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (forall ((C $$unsorted)) (= (tptp.k4_funcop_1 B A C) (tptp.k3_funcop_1 B A (tptp.k2_funcop_1 (tptp.k1_relat_1 A) C)))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (forall ((C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k4_funcop_1 B A D))) (=> (tptp.r2_hidden C (tptp.k1_relat_1 _let_1)) (= (tptp.k1_funct_1 _let_1 C) (tptp.k1_binop_1 B (tptp.k1_funct_1 A C) D))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (forall ((C $$unsorted) (D $$unsorted)) (=> (and (tptp.v1_relat_1 D) (tptp.v1_funct_1 D)) (forall ((E $$unsorted)) (=> (= (tptp.k7_relat_1 A C) (tptp.k7_relat_1 B C)) (= (tptp.k7_relat_1 (tptp.k4_funcop_1 D A E) C) (tptp.k7_relat_1 (tptp.k4_funcop_1 D B E) C)))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (forall ((C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (forall ((D $$unsorted)) (= (tptp.k5_relat_1 B (tptp.k4_funcop_1 C A D)) (tptp.k4_funcop_1 C (tptp.k5_relat_1 B A) D))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (forall ((C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (forall ((D $$unsorted)) (= (tptp.k5_relat_1 (tptp.k4_funcop_1 C B D) A) (tptp.k4_funcop_1 (tptp.k5_relat_1 C A) B D))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (forall ((D $$unsorted)) (= (tptp.k5_relat_1 (tptp.k6_partfun1 B) (tptp.k4_funcop_1 C A D)) (tptp.k4_funcop_1 C (tptp.k7_relat_1 A B) D))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (= (tptp.k5_funcop_1 A B C) (tptp.k5_relat_1 (tptp.k13_funct_3 (tptp.k2_funcop_1 (tptp.k1_relat_1 C) B) C) A)))))) true (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (forall ((C $$unsorted)) (= (tptp.k5_funcop_1 B C A) (tptp.k3_funcop_1 B (tptp.k2_funcop_1 (tptp.k1_relat_1 A) C) A))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (forall ((C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k5_funcop_1 B D A))) (=> (tptp.r2_hidden C (tptp.k1_relat_1 _let_1)) (= (tptp.k1_funct_1 _let_1 C) (tptp.k1_binop_1 B D (tptp.k1_funct_1 A C)))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (forall ((C $$unsorted) (D $$unsorted)) (=> (and (tptp.v1_relat_1 D) (tptp.v1_funct_1 D)) (forall ((E $$unsorted)) (=> (= (tptp.k7_relat_1 A C) (tptp.k7_relat_1 B C)) (= (tptp.k7_relat_1 (tptp.k5_funcop_1 D E A) C) (tptp.k7_relat_1 (tptp.k5_funcop_1 D E B) C)))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (forall ((C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (forall ((D $$unsorted)) (= (tptp.k5_relat_1 B (tptp.k5_funcop_1 C D A)) (tptp.k5_funcop_1 C D (tptp.k5_relat_1 B A)))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (forall ((C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (forall ((D $$unsorted)) (= (tptp.k5_relat_1 (tptp.k5_funcop_1 C D B) A) (tptp.k5_funcop_1 (tptp.k5_relat_1 C A) D B))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (forall ((D $$unsorted)) (= (tptp.k5_relat_1 (tptp.k6_partfun1 B) (tptp.k5_funcop_1 C D A)) (tptp.k5_funcop_1 C D (tptp.k7_relat_1 A B)))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 B B))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_1 B) (tptp.m2_relset_1 C _let_1 B)) (forall ((D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D A B) (tptp.m2_relset_1 D A B)) (forall ((E $$unsorted)) (let ((_let_1 (tptp.k3_funcop_1 C D E))) (=> (and (tptp.v1_funct_1 E) (tptp.v1_funct_2 E A B) (tptp.m2_relset_1 E A B)) (and (tptp.v1_funct_1 _let_1) (tptp.v1_funct_2 _let_1 A B) (tptp.m2_relset_1 _let_1 A B)))))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_1 A) (tptp.m2_relset_1 C _let_1 A)) (forall ((D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D B A) (tptp.m2_relset_1 D B A)) (forall ((E $$unsorted)) (=> (and (tptp.v1_funct_1 E) (tptp.v1_funct_2 E B A) (tptp.m2_relset_1 E B A)) (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F B) (= (tptp.k8_funct_2 B A (tptp.k6_funcop_1 A B C D E) F) (tptp.k2_binop_1 A A A C (tptp.k8_funct_2 B A D F) (tptp.k8_funct_2 B A E F)))))))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 B B))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_1 B) (tptp.m2_relset_1 C _let_1 B)) (forall ((D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D A B) (tptp.m2_relset_1 D A B)) (forall ((E $$unsorted)) (=> (and (tptp.v1_funct_1 E) (tptp.v1_funct_2 E A B) (tptp.m2_relset_1 E A B)) (forall ((F $$unsorted)) (=> (and (tptp.v1_funct_1 F) (tptp.v1_funct_2 F A B) (tptp.m2_relset_1 F A B)) (=> (forall ((G $$unsorted)) (=> (tptp.m1_subset_1 G A) (= (tptp.k8_funct_2 A B F G) (tptp.k2_binop_1 B B B C (tptp.k8_funct_2 A B D G) (tptp.k8_funct_2 A B E G))))) (= F (tptp.k6_funcop_1 B A C D E)))))))))))))))) true (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 B B))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_1 B) (tptp.m2_relset_1 C _let_1 B)) (forall ((D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D A B) (tptp.m2_relset_1 D A B)) (forall ((E $$unsorted)) (=> (and (tptp.v1_funct_1 E) (tptp.v1_funct_2 E B B) (tptp.m2_relset_1 E B B)) (= (tptp.k7_funct_2 A B B D (tptp.k6_funcop_1 B B C (tptp.k6_partfun1 B) E)) (tptp.k6_funcop_1 B A C D (tptp.k7_funct_2 A B B D E)))))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 B B))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_1 B) (tptp.m2_relset_1 C _let_1 B)) (forall ((D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D A B) (tptp.m2_relset_1 D A B)) (forall ((E $$unsorted)) (=> (and (tptp.v1_funct_1 E) (tptp.v1_funct_2 E B B) (tptp.m2_relset_1 E B B)) (= (tptp.k7_funct_2 A B B D (tptp.k6_funcop_1 B B C E (tptp.k6_partfun1 B))) (tptp.k6_funcop_1 B A C (tptp.k7_funct_2 A B B D E) D))))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 B B))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_1 B) (tptp.m2_relset_1 C _let_1 B)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k6_partfun1 B))) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D A B) (tptp.m2_relset_1 D A B)) (= (tptp.k7_funct_2 A B B D (tptp.k6_funcop_1 B B C _let_1 _let_1)) (tptp.k6_funcop_1 B A C D D)))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_1 A) (tptp.m2_relset_1 B _let_1 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C A) (forall ((D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D A A) (tptp.m2_relset_1 D A A)) (= (tptp.k8_funct_2 A A (tptp.k6_funcop_1 A A B (tptp.k6_partfun1 A) D) C) (tptp.k2_binop_1 A A A B C (tptp.k8_funct_2 A A D C)))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_1 A) (tptp.m2_relset_1 B _let_1 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C A) (forall ((D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D A A) (tptp.m2_relset_1 D A A)) (= (tptp.k8_funct_2 A A (tptp.k6_funcop_1 A A B D (tptp.k6_partfun1 A)) C) (tptp.k2_binop_1 A A A B (tptp.k8_funct_2 A A D C) C))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_1 A) (tptp.m2_relset_1 B _let_1 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k6_partfun1 A))) (=> (tptp.m1_subset_1 C A) (= (tptp.k8_funct_2 A A (tptp.k6_funcop_1 A A B _let_1 _let_1) C) (tptp.k2_binop_1 A A A B C C)))))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k2_funcop_1 A C))) (=> (tptp.r2_hidden C B) (and (tptp.v1_funct_1 _let_1) (tptp.v1_funct_2 _let_1 A B) (tptp.m2_relset_1 _let_1 A B))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k2_funcop_1 A C))) (=> (tptp.m1_subset_1 C B) (and (tptp.v1_funct_1 _let_1) (tptp.v1_funct_2 _let_1 A B) (tptp.m2_relset_1 _let_1 A B))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 B B))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_1 B) (tptp.m2_relset_1 C _let_1 B)) (forall ((D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D A B) (tptp.m2_relset_1 D A B)) (forall ((E $$unsorted)) (let ((_let_1 (tptp.k4_funcop_1 C D E))) (=> (tptp.m1_subset_1 E B) (and (tptp.v1_funct_1 _let_1) (tptp.v1_funct_2 _let_1 A B) (tptp.m2_relset_1 _let_1 A B)))))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_1 A) (tptp.m2_relset_1 C _let_1 A)) (forall ((D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D B A) (tptp.m2_relset_1 D B A)) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E A) (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F B) (= (tptp.k8_funct_2 B A (tptp.k7_funcop_1 A B C D E) F) (tptp.k2_binop_1 A A A C (tptp.k8_funct_2 B A D F) E))))))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_1 A) (tptp.m2_relset_1 C _let_1 A)) (forall ((D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D B A) (tptp.m2_relset_1 D B A)) (forall ((E $$unsorted)) (=> (and (tptp.v1_funct_1 E) (tptp.v1_funct_2 E B A) (tptp.m2_relset_1 E B A)) (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F A) (=> (forall ((G $$unsorted)) (=> (tptp.m1_subset_1 G B) (= (tptp.k8_funct_2 B A D G) (tptp.k2_binop_1 A A A C (tptp.k8_funct_2 B A E G) F)))) (= D (tptp.k7_funcop_1 A B C E F)))))))))))))))) true (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 B B))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_1 B) (tptp.m2_relset_1 C _let_1 B)) (forall ((D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D A B) (tptp.m2_relset_1 D A B)) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E B) (= (tptp.k7_funct_2 A B B D (tptp.k7_funcop_1 B B C (tptp.k6_partfun1 B) E)) (tptp.k7_funcop_1 B A C D E))))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_1 A) (tptp.m2_relset_1 B _let_1 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C A) (= (tptp.k8_funct_2 A A (tptp.k7_funcop_1 A A B (tptp.k6_partfun1 A) C) C) (tptp.k2_binop_1 A A A B C C))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 B B))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_1 B) (tptp.m2_relset_1 C _let_1 B)) (forall ((D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D A B) (tptp.m2_relset_1 D A B)) (forall ((E $$unsorted)) (let ((_let_1 (tptp.k5_funcop_1 C E D))) (=> (tptp.m1_subset_1 E B) (and (tptp.v1_funct_1 _let_1) (tptp.v1_funct_2 _let_1 A B) (tptp.m2_relset_1 _let_1 A B)))))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_1 A) (tptp.m2_relset_1 C _let_1 A)) (forall ((D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D B A) (tptp.m2_relset_1 D B A)) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E A) (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F B) (= (tptp.k8_funct_2 B A (tptp.k8_funcop_1 A B C E D) F) (tptp.k2_binop_1 A A A C E (tptp.k8_funct_2 B A D F)))))))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_1 A) (tptp.m2_relset_1 C _let_1 A)) (forall ((D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D B A) (tptp.m2_relset_1 D B A)) (forall ((E $$unsorted)) (=> (and (tptp.v1_funct_1 E) (tptp.v1_funct_2 E B A) (tptp.m2_relset_1 E B A)) (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F A) (=> (forall ((G $$unsorted)) (=> (tptp.m1_subset_1 G B) (= (tptp.k8_funct_2 B A D G) (tptp.k2_binop_1 A A A C F (tptp.k8_funct_2 B A E G))))) (= D (tptp.k8_funcop_1 A B C F E)))))))))))))))) true (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 B B))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_1 B) (tptp.m2_relset_1 C _let_1 B)) (forall ((D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D A B) (tptp.m2_relset_1 D A B)) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E B) (= (tptp.k7_funct_2 A B B D (tptp.k8_funcop_1 B B C E (tptp.k6_partfun1 B))) (tptp.k8_funcop_1 B A C E D))))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_1 A) (tptp.m2_relset_1 B _let_1 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C A) (= (tptp.k8_funct_2 A A (tptp.k8_funcop_1 A A B C (tptp.k6_partfun1 A)) C) (tptp.k2_binop_1 A A A B C C))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (=> (not (tptp.v1_xboole_0 C)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 B C))) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D A _let_1) (tptp.m2_relset_1 D A _let_1)) (forall ((E $$unsorted)) (let ((_let_1 (tptp.k8_funct_2 A (tptp.k2_zfmisc_1 B C) D E))) (=> (tptp.m1_subset_1 E A) (= (tptp.k1_funct_1 (tptp.k1_funcop_1 D) E) (tptp.k4_tarski (tptp.k2_mcart_1 _let_1) (tptp.k1_mcart_1 _let_1))))))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (=> (not (tptp.v1_xboole_0 C)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 B C))) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D A _let_1) (tptp.m2_relset_1 D A _let_1)) (tptp.m2_relset_1 (tptp.k2_relat_1 D) B C)))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (=> (not (tptp.v1_xboole_0 C)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 B C))) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D A _let_1) (tptp.m2_relset_1 D A _let_1)) (= (tptp.k9_funcop_1 A C B (tptp.k10_funcop_1 A B C D)) (tptp.k4_relat_1 (tptp.k9_funcop_1 A B C D)))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 B B))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_1 B) (tptp.m2_relset_1 C _let_1 B)) (forall ((D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D A B) (tptp.m2_relset_1 D A B)) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E B) (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F B) (=> (tptp.v2_binop_1 C B) (= (tptp.k7_funcop_1 B A C (tptp.k8_funcop_1 B A C E D) F) (tptp.k8_funcop_1 B A C E (tptp.k7_funcop_1 B A C D F))))))))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 B B))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_1 B) (tptp.m2_relset_1 C _let_1 B)) (forall ((D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D A B) (tptp.m2_relset_1 D A B)) (forall ((E $$unsorted)) (=> (and (tptp.v1_funct_1 E) (tptp.v1_funct_2 E A B) (tptp.m2_relset_1 E A B)) (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F B) (=> (tptp.v2_binop_1 C B) (= (tptp.k6_funcop_1 B A C (tptp.k7_funcop_1 B A C D F) E) (tptp.k6_funcop_1 B A C D (tptp.k8_funcop_1 B A C F E))))))))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 B B))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_1 B) (tptp.m2_relset_1 C _let_1 B)) (forall ((D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D A B) (tptp.m2_relset_1 D A B)) (forall ((E $$unsorted)) (=> (and (tptp.v1_funct_1 E) (tptp.v1_funct_2 E A B) (tptp.m2_relset_1 E A B)) (forall ((F $$unsorted)) (=> (and (tptp.v1_funct_1 F) (tptp.v1_funct_2 F A B) (tptp.m2_relset_1 F A B)) (=> (tptp.v2_binop_1 C B) (= (tptp.k6_funcop_1 B A C (tptp.k6_funcop_1 B A C D E) F) (tptp.k6_funcop_1 B A C D (tptp.k6_funcop_1 B A C E F))))))))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 B B))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_1 B) (tptp.m2_relset_1 C _let_1 B)) (forall ((D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D A B) (tptp.m2_relset_1 D A B)) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E B) (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F B) (=> (tptp.v2_binop_1 C B) (= (tptp.k8_funcop_1 B A C (tptp.k2_binop_1 B B B C E F) D) (tptp.k8_funcop_1 B A C E (tptp.k8_funcop_1 B A C F D))))))))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 B B))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_1 B) (tptp.m2_relset_1 C _let_1 B)) (forall ((D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D A B) (tptp.m2_relset_1 D A B)) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E B) (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F B) (=> (tptp.v2_binop_1 C B) (= (tptp.k7_funcop_1 B A C D (tptp.k2_binop_1 B B B C E F)) (tptp.k7_funcop_1 B A C (tptp.k7_funcop_1 B A C D E) F)))))))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 B B))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_1 B) (tptp.m2_relset_1 C _let_1 B)) (forall ((D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D A B) (tptp.m2_relset_1 D A B)) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E B) (=> (tptp.v1_binop_1 C B) (= (tptp.k8_funcop_1 B A C E D) (tptp.k7_funcop_1 B A C D E)))))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 B B))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_1 B) (tptp.m2_relset_1 C _let_1 B)) (forall ((D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D A B) (tptp.m2_relset_1 D A B)) (forall ((E $$unsorted)) (=> (and (tptp.v1_funct_1 E) (tptp.v1_funct_2 E A B) (tptp.m2_relset_1 E A B)) (=> (tptp.v1_binop_1 C B) (= (tptp.k6_funcop_1 B A C D E) (tptp.k6_funcop_1 B A C E D)))))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 B B))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_1 B) (tptp.m2_relset_1 C _let_1 B)) (forall ((D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D A B) (tptp.m2_relset_1 D A B)) (=> (tptp.v3_binop_1 C B) (= (tptp.k6_funcop_1 B A C D D) D))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_1 A) (tptp.m2_relset_1 C _let_1 A)) (forall ((D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D B A) (tptp.m2_relset_1 D B A)) (forall ((E $$unsorted)) (let ((_let_1 (tptp.k8_funct_2 B A D E))) (=> (tptp.m1_subset_1 E B) (=> (tptp.v3_binop_1 C A) (= (tptp.k8_funct_2 B A (tptp.k8_funcop_1 A B C _let_1 D) E) _let_1)))))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_1 A) (tptp.m2_relset_1 C _let_1 A)) (forall ((D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D B A) (tptp.m2_relset_1 D B A)) (forall ((E $$unsorted)) (let ((_let_1 (tptp.k8_funct_2 B A D E))) (=> (tptp.m1_subset_1 E B) (=> (tptp.v3_binop_1 C A) (= (tptp.k8_funct_2 B A (tptp.k7_funcop_1 A B C D _let_1) E) _let_1)))))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (forall ((C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (=> (tptp.r1_tarski (tptp.k2_zfmisc_1 (tptp.k2_relat_1 B) (tptp.k2_relat_1 C)) (tptp.k1_relat_1 A)) (= (tptp.k1_relat_1 (tptp.k3_funcop_1 A B C)) (tptp.k3_xboole_0 (tptp.k1_relat_1 B) (tptp.k1_relat_1 C)))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (= (tptp.v1_funcop_1 A) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k1_funct_1 A B))) (=> (tptp.r2_hidden B (tptp.k1_relat_1 A)) (and (tptp.v1_relat_1 _let_1) (tptp.v1_funct_1 _let_1)))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k1_funcop_1 A))) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (and (tptp.v1_relat_1 _let_1) (tptp.v1_funct_1 _let_1))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (= (tptp.k1_funcop_1 (tptp.k1_funcop_1 A)) A))) true true true true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (let ((_let_1 (tptp.k6_funcop_1 A B C D E))) (let ((_let_2 (tptp.k2_zfmisc_1 A A))) (=> (and (not (tptp.v1_xboole_0 A)) (not (tptp.v1_xboole_0 B)) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 A) (tptp.m1_relset_1 C _let_2 A) (tptp.v1_funct_1 D) (tptp.v1_funct_2 D B A) (tptp.m1_relset_1 D B A) (tptp.v1_funct_1 E) (tptp.v1_funct_2 E B A) (tptp.m1_relset_1 E B A)) (and (tptp.v1_funct_1 _let_1) (tptp.v1_funct_2 _let_1 B A) (tptp.m2_relset_1 _let_1 B A)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A A))) (=> (and (not (tptp.v1_xboole_0 A)) (not (tptp.v1_xboole_0 B)) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_1 A) (tptp.m1_relset_1 C _let_1 A) (tptp.v1_funct_1 D) (tptp.v1_funct_2 D B A) (tptp.m1_relset_1 D B A) (tptp.v1_funct_1 E) (tptp.v1_funct_2 E B A) (tptp.m1_relset_1 E B A)) (= (tptp.k6_funcop_1 A B C D E) (tptp.k3_funcop_1 C D E))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (let ((_let_1 (tptp.k7_funcop_1 A B C D E))) (let ((_let_2 (tptp.k2_zfmisc_1 A A))) (=> (and (not (tptp.v1_xboole_0 A)) (not (tptp.v1_xboole_0 B)) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 A) (tptp.m1_relset_1 C _let_2 A) (tptp.v1_funct_1 D) (tptp.v1_funct_2 D B A) (tptp.m1_relset_1 D B A) (tptp.m1_subset_1 E A)) (and (tptp.v1_funct_1 _let_1) (tptp.v1_funct_2 _let_1 B A) (tptp.m2_relset_1 _let_1 B A)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A A))) (=> (and (not (tptp.v1_xboole_0 A)) (not (tptp.v1_xboole_0 B)) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_1 A) (tptp.m1_relset_1 C _let_1 A) (tptp.v1_funct_1 D) (tptp.v1_funct_2 D B A) (tptp.m1_relset_1 D B A) (tptp.m1_subset_1 E A)) (= (tptp.k7_funcop_1 A B C D E) (tptp.k4_funcop_1 C D E))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (let ((_let_1 (tptp.k8_funcop_1 A B C D E))) (let ((_let_2 (tptp.k2_zfmisc_1 A A))) (=> (and (not (tptp.v1_xboole_0 A)) (not (tptp.v1_xboole_0 B)) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 A) (tptp.m1_relset_1 C _let_2 A) (tptp.m1_subset_1 D A) (tptp.v1_funct_1 E) (tptp.v1_funct_2 E B A) (tptp.m1_relset_1 E B A)) (and (tptp.v1_funct_1 _let_1) (tptp.v1_funct_2 _let_1 B A) (tptp.m2_relset_1 _let_1 B A)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A A))) (=> (and (not (tptp.v1_xboole_0 A)) (not (tptp.v1_xboole_0 B)) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_1 A) (tptp.m1_relset_1 C _let_1 A) (tptp.m1_subset_1 D A) (tptp.v1_funct_1 E) (tptp.v1_funct_2 E B A) (tptp.m1_relset_1 E B A)) (= (tptp.k8_funcop_1 A B C D E) (tptp.k5_funcop_1 C D E))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 B C))) (=> (and (not (tptp.v1_xboole_0 A)) (not (tptp.v1_xboole_0 B)) (not (tptp.v1_xboole_0 C)) (tptp.v1_funct_1 D) (tptp.v1_funct_2 D A _let_1) (tptp.m1_relset_1 D A _let_1)) (tptp.m2_relset_1 (tptp.k9_funcop_1 A B C D) B C)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 B C))) (=> (and (not (tptp.v1_xboole_0 A)) (not (tptp.v1_xboole_0 B)) (not (tptp.v1_xboole_0 C)) (tptp.v1_funct_1 D) (tptp.v1_funct_2 D A _let_1) (tptp.m1_relset_1 D A _let_1)) (= (tptp.k9_funcop_1 A B C D) (tptp.k2_relat_1 D))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 C B))) (let ((_let_2 (tptp.k10_funcop_1 A B C D))) (let ((_let_3 (tptp.k2_zfmisc_1 B C))) (=> (and (not (tptp.v1_xboole_0 A)) (not (tptp.v1_xboole_0 B)) (not (tptp.v1_xboole_0 C)) (tptp.v1_funct_1 D) (tptp.v1_funct_2 D A _let_3) (tptp.m1_relset_1 D A _let_3)) (and (tptp.v1_funct_1 _let_2) (tptp.v1_funct_2 _let_2 A _let_1) (tptp.m2_relset_1 _let_2 A _let_1))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 B C))) (=> (and (not (tptp.v1_xboole_0 A)) (not (tptp.v1_xboole_0 B)) (not (tptp.v1_xboole_0 C)) (tptp.v1_funct_1 D) (tptp.v1_funct_2 D A _let_1) (tptp.m1_relset_1 D A _let_1)) (= (tptp.k10_funcop_1 A B C (tptp.k10_funcop_1 A B C D)) D)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 B C))) (=> (and (not (tptp.v1_xboole_0 A)) (not (tptp.v1_xboole_0 B)) (not (tptp.v1_xboole_0 C)) (tptp.v1_funct_1 D) (tptp.v1_funct_2 D A _let_1) (tptp.m1_relset_1 D A _let_1)) (= (tptp.k10_funcop_1 A B C D) (tptp.k1_funcop_1 D))))) (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 $$unsorted)) (=> (tptp.r2_hidden B A) (tptp.v3_ordinal1 B))) (tptp.v3_ordinal1 (tptp.k1_setfam_1 A)))) (= tptp.k4_ordinal2 (tptp.k1_ordinal1 tptp.k1_xboole_0)) (forall ((A $$unsorted)) (= (= A tptp.k5_ordinal2) (and (tptp.r2_hidden tptp.k1_xboole_0 A) (tptp.v4_ordinal1 A) (tptp.v3_ordinal1 A) (forall ((B $$unsorted)) (=> (tptp.v3_ordinal1 B) (=> (and (tptp.r2_hidden tptp.k1_xboole_0 B) (tptp.v4_ordinal1 B)) (tptp.r1_tarski A B))))))) (forall ((A $$unsorted)) (= (tptp.k6_ordinal2 A) (tptp.k1_setfam_1 (tptp.k2_ordinal2 A)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.v3_ordinal1 B) (= (= B (tptp.k7_ordinal2 A)) (and (tptp.r1_tarski (tptp.k2_ordinal2 A) B) (forall ((C $$unsorted)) (=> (tptp.v3_ordinal1 C) (=> (tptp.r1_tarski (tptp.k2_ordinal2 A) C) (tptp.r1_ordinal1 B C)))))))) true (and (tptp.r2_hidden tptp.k1_xboole_0 tptp.k5_ordinal2) (tptp.v4_ordinal1 tptp.k5_ordinal2) (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (=> (and (tptp.r2_hidden tptp.k1_xboole_0 A) (tptp.v4_ordinal1 A)) (tptp.r1_ordinal1 tptp.k5_ordinal2 A))))) true true (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (forall ((B $$unsorted)) (=> (tptp.r2_hidden A B) (tptp.r1_ordinal1 (tptp.k6_ordinal2 B) A))))) (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (forall ((B $$unsorted)) (=> (forall ((C $$unsorted)) (=> (tptp.v3_ordinal1 C) (=> (tptp.r2_hidden C B) (tptp.r1_ordinal1 A C)))) (or (= (tptp.k2_ordinal2 B) tptp.k1_xboole_0) (tptp.r1_ordinal1 A (tptp.k6_ordinal2 B))))))) (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (forall ((B $$unsorted) (C $$unsorted)) (=> (and (tptp.r2_hidden A B) (tptp.r1_tarski B C)) (tptp.r1_ordinal1 (tptp.k6_ordinal2 C) (tptp.k6_ordinal2 B)))))) (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (forall ((B $$unsorted)) (=> (tptp.r2_hidden A B) (tptp.r2_hidden (tptp.k6_ordinal2 B) B))))) (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (= (tptp.k7_ordinal2 A) A))) (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (forall ((B $$unsorted)) (=> (tptp.r2_hidden A B) (tptp.r2_hidden A (tptp.k7_ordinal2 B)))))) (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (forall ((B $$unsorted)) (=> (forall ((C $$unsorted)) (=> (tptp.v3_ordinal1 C) (=> (tptp.r2_hidden C B) (tptp.r2_hidden C A)))) (tptp.r1_ordinal1 (tptp.k7_ordinal2 B) A))))) (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (forall ((B $$unsorted)) (not (and (tptp.r2_hidden A (tptp.k7_ordinal2 B)) (forall ((C $$unsorted)) (=> (tptp.v3_ordinal1 C) (not (and (tptp.r2_hidden C B) (tptp.r1_ordinal1 A C)))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.r1_tarski A B) (tptp.r1_ordinal1 (tptp.k7_ordinal2 A) (tptp.k7_ordinal2 B)))) (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (= (tptp.k7_ordinal2 (tptp.k1_tarski A)) (tptp.k1_ordinal1 A)))) (forall ((A $$unsorted)) (tptp.r1_ordinal1 (tptp.k6_ordinal2 A) (tptp.k7_ordinal2 A))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (= (tptp.v1_ordinal2 A) (exists ((B $$unsorted)) (and (tptp.v3_ordinal1 B) (tptp.r1_tarski (tptp.k2_relat_1 A) B)))))) true (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (tptp.v5_ordinal1 B) (tptp.v1_ordinal2 B)) (=> (tptp.r2_hidden A (tptp.k1_relat_1 B)) (tptp.v3_ordinal1 (tptp.k1_funct_1 B A))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v5_ordinal1 A)) (= (tptp.k8_ordinal2 A) (tptp.k7_ordinal2 (tptp.k2_relat_1 A))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v5_ordinal1 A)) (= (tptp.k9_ordinal2 A) (tptp.k6_ordinal2 (tptp.k2_relat_1 A))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k2_relat_1 A))) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v5_ordinal1 A)) (and (= (tptp.k8_ordinal2 A) (tptp.k7_ordinal2 _let_1)) (= (tptp.k9_ordinal2 A) (tptp.k6_ordinal2 _let_1)))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v5_ordinal1 A)) (forall ((B $$unsorted)) (=> (tptp.v3_ordinal1 B) (= (= B (tptp.k10_ordinal2 A)) (exists ((C $$unsorted)) (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C) (tptp.v5_ordinal1 C) (tptp.v1_ordinal2 C) (= B (tptp.k9_ordinal2 C)) (= (tptp.k1_relat_1 C) (tptp.k1_relat_1 A)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k1_relat_1 A))) (=> (tptp.v3_ordinal1 D) (=> (tptp.r2_hidden D _let_1) (= (tptp.k1_funct_1 C D) (tptp.k7_ordinal2 (tptp.k2_relat_1 (tptp.k7_relat_1 A (tptp.k4_xboole_0 _let_1 D)))))))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v5_ordinal1 A)) (forall ((B $$unsorted)) (=> (tptp.v3_ordinal1 B) (= (= B (tptp.k11_ordinal2 A)) (exists ((C $$unsorted)) (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C) (tptp.v5_ordinal1 C) (tptp.v1_ordinal2 C) (= B (tptp.k8_ordinal2 C)) (= (tptp.k1_relat_1 C) (tptp.k1_relat_1 A)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k1_relat_1 A))) (=> (tptp.v3_ordinal1 D) (=> (tptp.r2_hidden D _let_1) (= (tptp.k1_funct_1 C D) (tptp.k6_ordinal2 (tptp.k2_relat_1 (tptp.k7_relat_1 A (tptp.k4_xboole_0 _let_1 D)))))))))))))))) (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (forall ((B $$unsorted)) (let ((_let_1 (tptp.r1_ordinal2 A B))) (let ((_let_2 (= A tptp.k1_xboole_0))) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (tptp.v5_ordinal1 B) (tptp.v1_ordinal2 B)) (and (=> _let_2 (= _let_1 (exists ((C $$unsorted)) (and (tptp.v3_ordinal1 C) (tptp.r2_hidden C (tptp.k1_relat_1 B)) (forall ((D $$unsorted)) (=> (tptp.v3_ordinal1 D) (=> (and (tptp.r1_ordinal1 C D) (tptp.r2_hidden D (tptp.k1_relat_1 B))) (= (tptp.k1_funct_1 B D) tptp.k1_xboole_0)))))))) (=> (not _let_2) (= _let_1 (forall ((C $$unsorted)) (=> (tptp.v3_ordinal1 C) (forall ((D $$unsorted)) (=> (tptp.v3_ordinal1 D) (not (and (tptp.r2_hidden C A) (tptp.r2_hidden A D) (forall ((E $$unsorted)) (=> (tptp.v3_ordinal1 E) (not (and (tptp.r2_hidden E (tptp.k1_relat_1 B)) (forall ((F $$unsorted)) (let ((_let_1 (tptp.k1_funct_1 B F))) (=> (tptp.v3_ordinal1 F) (=> (and (tptp.r1_ordinal1 E F) (tptp.r2_hidden F (tptp.k1_relat_1 B))) (and (tptp.r2_hidden C _let_1) (tptp.r2_hidden _let_1 D))))))))))))))))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v5_ordinal1 A) (tptp.v1_ordinal2 A)) (=> (exists ((B $$unsorted)) (and (tptp.v3_ordinal1 B) (tptp.r1_ordinal2 B A))) (forall ((B $$unsorted)) (=> (tptp.v3_ordinal1 B) (= (= B (tptp.k12_ordinal2 A)) (tptp.r1_ordinal2 B A))))))) (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (tptp.v5_ordinal1 B) (tptp.v1_ordinal2 B)) (= (tptp.k13_ordinal2 A B) (tptp.k12_ordinal2 (tptp.k2_ordinal1 B A))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v5_ordinal1 A) (tptp.v1_ordinal2 A)) (= (tptp.v2_ordinal2 A) (forall ((B $$unsorted)) (=> (tptp.v3_ordinal1 B) (forall ((C $$unsorted)) (=> (tptp.v3_ordinal1 C) (=> (and (tptp.r2_hidden B C) (tptp.r2_hidden C (tptp.k1_relat_1 A))) (tptp.r2_hidden (tptp.k1_funct_1 A B) (tptp.k1_funct_1 A C)))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v5_ordinal1 A) (tptp.v1_ordinal2 A)) (= (tptp.v3_ordinal2 A) (forall ((B $$unsorted)) (=> (tptp.v3_ordinal1 B) (forall ((C $$unsorted)) (=> (tptp.v3_ordinal1 C) (=> (and (tptp.r2_hidden B (tptp.k1_relat_1 A)) (tptp.v4_ordinal1 B) (= C (tptp.k1_funct_1 A B))) (or (= B tptp.k1_xboole_0) (tptp.r1_ordinal2 C (tptp.k2_ordinal1 A B))))))))))) (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (forall ((B $$unsorted)) (=> (tptp.v3_ordinal1 B) (forall ((C $$unsorted)) (=> (tptp.v3_ordinal1 C) (= (= C (tptp.k14_ordinal2 A B)) (exists ((D $$unsorted)) (and (tptp.v1_relat_1 D) (tptp.v1_funct_1 D) (tptp.v5_ordinal1 D) (tptp.v1_ordinal2 D) (= C (tptp.k1_ordinal2 D)) (= (tptp.k1_relat_1 D) (tptp.k1_ordinal1 B)) (= (tptp.k1_funct_1 D tptp.k1_xboole_0) A) (forall ((E $$unsorted)) (let ((_let_1 (tptp.k1_ordinal1 E))) (=> (tptp.v3_ordinal1 E) (=> (tptp.r2_hidden _let_1 (tptp.k1_ordinal1 B)) (= (tptp.k1_funct_1 D _let_1) (tptp.k1_ordinal1 (tptp.k1_funct_1 D E))))))) (forall ((E $$unsorted)) (=> (tptp.v3_ordinal1 E) (=> (and (tptp.r2_hidden E (tptp.k1_ordinal1 B)) (tptp.v4_ordinal1 E)) (or (= E tptp.k1_xboole_0) (= (tptp.k1_funct_1 D E) (tptp.k8_ordinal2 (tptp.k2_ordinal1 D E)))))))))))))))) (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (forall ((B $$unsorted)) (=> (tptp.v3_ordinal1 B) (forall ((C $$unsorted)) (=> (tptp.v3_ordinal1 C) (= (= C (tptp.k15_ordinal2 A B)) (exists ((D $$unsorted)) (and (tptp.v1_relat_1 D) (tptp.v1_funct_1 D) (tptp.v5_ordinal1 D) (tptp.v1_ordinal2 D) (= C (tptp.k1_ordinal2 D)) (= (tptp.k1_relat_1 D) (tptp.k1_ordinal1 A)) (= (tptp.k1_funct_1 D tptp.k1_xboole_0) tptp.k1_xboole_0) (forall ((E $$unsorted)) (let ((_let_1 (tptp.k1_ordinal1 E))) (=> (tptp.v3_ordinal1 E) (=> (tptp.r2_hidden _let_1 (tptp.k1_ordinal1 A)) (= (tptp.k1_funct_1 D _let_1) (tptp.k14_ordinal2 (tptp.k1_funct_1 D E) B)))))) (forall ((E $$unsorted)) (=> (tptp.v3_ordinal1 E) (=> (and (tptp.r2_hidden E (tptp.k1_ordinal1 A)) (tptp.v4_ordinal1 E)) (or (= E tptp.k1_xboole_0) (= (tptp.k1_funct_1 D E) (tptp.k3_tarski (tptp.k8_ordinal2 (tptp.k2_ordinal1 D E))))))))))))))))) (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (forall ((B $$unsorted)) (=> (tptp.v3_ordinal1 B) (forall ((C $$unsorted)) (=> (tptp.v3_ordinal1 C) (= (= C (tptp.k16_ordinal2 A B)) (exists ((D $$unsorted)) (and (tptp.v1_relat_1 D) (tptp.v1_funct_1 D) (tptp.v5_ordinal1 D) (tptp.v1_ordinal2 D) (= C (tptp.k1_ordinal2 D)) (= (tptp.k1_relat_1 D) (tptp.k1_ordinal1 B)) (= (tptp.k1_funct_1 D tptp.k1_xboole_0) tptp.k4_ordinal2) (forall ((E $$unsorted)) (let ((_let_1 (tptp.k1_ordinal1 E))) (=> (tptp.v3_ordinal1 E) (=> (tptp.r2_hidden _let_1 (tptp.k1_ordinal1 B)) (= (tptp.k1_funct_1 D _let_1) (tptp.k15_ordinal2 A (tptp.k1_funct_1 D E))))))) (forall ((E $$unsorted)) (=> (tptp.v3_ordinal1 E) (=> (and (tptp.r2_hidden E (tptp.k1_ordinal1 B)) (tptp.v4_ordinal1 E)) (or (= E tptp.k1_xboole_0) (= (tptp.k1_funct_1 D E) (tptp.k12_ordinal2 (tptp.k2_ordinal1 D E)))))))))))))))) true true true true true true true true (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (= (tptp.k14_ordinal2 A tptp.k1_xboole_0) A))) (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (forall ((B $$unsorted)) (=> (tptp.v3_ordinal1 B) (= (tptp.k14_ordinal2 A (tptp.k1_ordinal1 B)) (tptp.k1_ordinal1 (tptp.k14_ordinal2 A B))))))) (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (forall ((B $$unsorted)) (=> (tptp.v3_ordinal1 B) (=> (tptp.v4_ordinal1 A) (or (= A tptp.k1_xboole_0) (forall ((C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C) (tptp.v5_ordinal1 C) (tptp.v1_ordinal2 C)) (=> (and (= (tptp.k1_relat_1 C) A) (forall ((D $$unsorted)) (=> (tptp.v3_ordinal1 D) (=> (tptp.r2_hidden D A) (= (tptp.k1_funct_1 C D) (tptp.k14_ordinal2 B D)))))) (= (tptp.k14_ordinal2 B A) (tptp.k8_ordinal2 C))))))))))) (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (= (tptp.k14_ordinal2 tptp.k1_xboole_0 A) A))) (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (= (tptp.k14_ordinal2 A tptp.k4_ordinal2) (tptp.k1_ordinal1 A)))) (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (forall ((B $$unsorted)) (=> (tptp.v3_ordinal1 B) (forall ((C $$unsorted)) (=> (tptp.v3_ordinal1 C) (=> (tptp.r2_hidden A B) (tptp.r2_hidden (tptp.k14_ordinal2 C A) (tptp.k14_ordinal2 C B))))))))) (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (forall ((B $$unsorted)) (=> (tptp.v3_ordinal1 B) (forall ((C $$unsorted)) (=> (tptp.v3_ordinal1 C) (=> (tptp.r1_ordinal1 A B) (tptp.r1_ordinal1 (tptp.k14_ordinal2 C A) (tptp.k14_ordinal2 C B))))))))) (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (forall ((B $$unsorted)) (=> (tptp.v3_ordinal1 B) (forall ((C $$unsorted)) (=> (tptp.v3_ordinal1 C) (=> (tptp.r1_ordinal1 A B) (tptp.r1_ordinal1 (tptp.k14_ordinal2 A C) (tptp.k14_ordinal2 B C))))))))) (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (= (tptp.k15_ordinal2 tptp.k1_xboole_0 A) tptp.k1_xboole_0))) (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (forall ((B $$unsorted)) (=> (tptp.v3_ordinal1 B) (= (tptp.k15_ordinal2 (tptp.k1_ordinal1 A) B) (tptp.k14_ordinal2 (tptp.k15_ordinal2 A B) B)))))) (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (forall ((B $$unsorted)) (=> (tptp.v3_ordinal1 B) (=> (tptp.v4_ordinal1 A) (or (= A tptp.k1_xboole_0) (forall ((C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C) (tptp.v5_ordinal1 C) (tptp.v1_ordinal2 C)) (=> (and (= (tptp.k1_relat_1 C) A) (forall ((D $$unsorted)) (=> (tptp.v3_ordinal1 D) (=> (tptp.r2_hidden D A) (= (tptp.k1_funct_1 C D) (tptp.k15_ordinal2 D B)))))) (= (tptp.k15_ordinal2 A B) (tptp.k3_tarski (tptp.k8_ordinal2 C)))))))))))) (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (= (tptp.k15_ordinal2 A tptp.k1_xboole_0) tptp.k1_xboole_0))) (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (and (= (tptp.k15_ordinal2 tptp.k4_ordinal2 A) A) (= (tptp.k15_ordinal2 A tptp.k4_ordinal2) A)))) (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (forall ((B $$unsorted)) (=> (tptp.v3_ordinal1 B) (forall ((C $$unsorted)) (=> (tptp.v3_ordinal1 C) (=> (tptp.r2_hidden B C) (or (= A tptp.k1_xboole_0) (tptp.r2_hidden (tptp.k15_ordinal2 B A) (tptp.k15_ordinal2 C A)))))))))) (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (forall ((B $$unsorted)) (=> (tptp.v3_ordinal1 B) (forall ((C $$unsorted)) (=> (tptp.v3_ordinal1 C) (=> (tptp.r1_ordinal1 A B) (tptp.r1_ordinal1 (tptp.k15_ordinal2 A C) (tptp.k15_ordinal2 B C))))))))) (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (forall ((B $$unsorted)) (=> (tptp.v3_ordinal1 B) (forall ((C $$unsorted)) (=> (tptp.v3_ordinal1 C) (=> (tptp.r1_ordinal1 A B) (tptp.r1_ordinal1 (tptp.k15_ordinal2 C A) (tptp.k15_ordinal2 C B))))))))) (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (= (tptp.k16_ordinal2 A tptp.k1_xboole_0) tptp.k4_ordinal2))) (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (forall ((B $$unsorted)) (=> (tptp.v3_ordinal1 B) (= (tptp.k16_ordinal2 A (tptp.k1_ordinal1 B)) (tptp.k15_ordinal2 A (tptp.k16_ordinal2 A B))))))) (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (forall ((B $$unsorted)) (=> (tptp.v3_ordinal1 B) (=> (tptp.v4_ordinal1 A) (or (= A tptp.k1_xboole_0) (forall ((C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C) (tptp.v5_ordinal1 C) (tptp.v1_ordinal2 C)) (=> (and (= (tptp.k1_relat_1 C) A) (forall ((D $$unsorted)) (=> (tptp.v3_ordinal1 D) (=> (tptp.r2_hidden D A) (= (tptp.k1_funct_1 C D) (tptp.k16_ordinal2 B D)))))) (= (tptp.k16_ordinal2 B A) (tptp.k12_ordinal2 C))))))))))) (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (and (= (tptp.k16_ordinal2 A tptp.k4_ordinal2) A) (= (tptp.k16_ordinal2 tptp.k4_ordinal2 A) tptp.k4_ordinal2)))) (forall ((A $$unsorted)) (= (tptp.v4_ordinal2 A) (tptp.r2_hidden A tptp.k5_ordinal2))) true (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (exists ((B $$unsorted)) (and (tptp.v3_ordinal1 B) (exists ((C $$unsorted)) (and (tptp.v3_ordinal1 C) (tptp.v4_ordinal1 B) (tptp.v4_ordinal2 C) (= A (tptp.k14_ordinal2 B C)))))))) (=> (and (tptp.p1_s1_ordinal2 tptp.k1_xboole_0) (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (=> (tptp.p1_s1_ordinal2 A) (tptp.p1_s1_ordinal2 (tptp.k1_ordinal1 A))))) (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (=> (and (tptp.v4_ordinal1 A) (forall ((B $$unsorted)) (=> (tptp.v3_ordinal1 B) (=> (tptp.r2_hidden B A) (tptp.p1_s1_ordinal2 B))))) (or (= A tptp.k1_xboole_0) (tptp.p1_s1_ordinal2 A)))))) (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (tptp.p1_s1_ordinal2 A)))) (exists ((A $$unsorted)) (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v5_ordinal1 A) (= (tptp.k1_relat_1 A) tptp.f1_s2_ordinal2) (forall ((B $$unsorted)) (=> (tptp.v3_ordinal1 B) (=> (tptp.r2_hidden B tptp.f1_s2_ordinal2) (= (tptp.k1_funct_1 A B) (tptp.f2_s2_ordinal2 B))))))) (exists ((A $$unsorted)) (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v5_ordinal1 A) (tptp.v1_ordinal2 A) (= (tptp.k1_relat_1 A) tptp.f1_s3_ordinal2) (forall ((B $$unsorted)) (=> (tptp.v3_ordinal1 B) (=> (tptp.r2_hidden B tptp.f1_s3_ordinal2) (= (tptp.k1_funct_1 A B) (tptp.f2_s3_ordinal2 B))))))) (=> (and (= (tptp.k1_relat_1 tptp.f5_s4_ordinal2) tptp.f1_s4_ordinal2) (=> _let_21 (= (tptp.k1_funct_1 tptp.f5_s4_ordinal2 tptp.k1_xboole_0) tptp.f2_s4_ordinal2)) (forall ((A $$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 $$unsorted)) (=> (tptp.v3_ordinal1 A) (=> (and (tptp.r2_hidden A tptp.f1_s4_ordinal2) (tptp.v4_ordinal1 A)) (or (= A tptp.k1_xboole_0) (= (tptp.k1_funct_1 tptp.f5_s4_ordinal2 A) (tptp.f4_s4_ordinal2 A (tptp.k2_ordinal1 tptp.f5_s4_ordinal2 A))))))) (= (tptp.k1_relat_1 tptp.f6_s4_ordinal2) tptp.f1_s4_ordinal2) (=> _let_21 (= (tptp.k1_funct_1 tptp.f6_s4_ordinal2 tptp.k1_xboole_0) tptp.f2_s4_ordinal2)) (forall ((A $$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)))) _let_17 _let_18 _let_16 _let_15 (= tptp.k1_numbers (tptp.k4_xboole_0 (tptp.k2_xboole_0 tptp.k2_arytm_2 (tptp.k2_zfmisc_1 _let_20 tptp.k2_arytm_2)) _let_19)) (= tptp.k3_numbers (tptp.k4_xboole_0 (tptp.k2_xboole_0 tptp.k6_arytm_3 (tptp.k2_zfmisc_1 _let_20 tptp.k6_arytm_3)) _let_19)) (= tptp.k4_numbers (tptp.k4_xboole_0 (tptp.k2_xboole_0 tptp.k5_ordinal2 (tptp.k2_zfmisc_1 _let_20 tptp.k5_ordinal2)) _let_19)) (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)) (= tptp.k5_numbers tptp.k5_ordinal2) (= tptp.k2_numbers (tptp.k2_xboole_0 (tptp.k4_xboole_0 (tptp.k1_funct_2 (tptp.k2_tarski tptp.np__0 tptp.k13_arytm_3) tptp.k1_numbers) tptp.a_0_0_numbers) tptp.k1_numbers)) (forall ((A $$unsorted)) (= (tptp.r2_hidden A tptp.a_0_0_numbers) (exists ((B $$unsorted)) (and (tptp.m1_subset_1 B (tptp.k1_funct_2 (tptp.k2_tarski tptp.np__0 tptp.k13_arytm_3) tptp.k1_numbers)) (= A B) (= (tptp.k1_funct_1 B tptp.k13_arytm_3) tptp.np__0))))) (forall ((A $$unsorted)) (=> (tptp.v4_ordinal2 A) (tptp.v1_xreal_0 A))) (forall ((A $$unsorted)) (=> (tptp.v1_xreal_0 A) (tptp.v1_xcmplx_0 A))) (exists ((A $$unsorted)) (and (tptp.v1_xcmplx_0 A) (tptp.v1_xreal_0 A))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k4_xcmplx_0 A))) (=> (tptp.v1_xreal_0 A) (and (tptp.v1_xcmplx_0 _let_1) (tptp.v1_xreal_0 _let_1))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k5_xcmplx_0 A))) (=> (tptp.v1_xreal_0 A) (and (tptp.v1_xcmplx_0 _let_1) (tptp.v1_xreal_0 _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k2_xcmplx_0 A B))) (=> (and (tptp.v1_xreal_0 A) (tptp.v1_xreal_0 B)) (and (tptp.v1_xcmplx_0 _let_1) (tptp.v1_xreal_0 _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k3_xcmplx_0 A B))) (=> (and (tptp.v1_xreal_0 A) (tptp.v1_xreal_0 B)) (and (tptp.v1_xcmplx_0 _let_1) (tptp.v1_xreal_0 _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k6_xcmplx_0 A B))) (=> (and (tptp.v1_xreal_0 A) (tptp.v1_xreal_0 B)) (and (tptp.v1_xcmplx_0 _let_1) (tptp.v1_xreal_0 _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k7_xcmplx_0 A B))) (=> (and (tptp.v1_xreal_0 A) (tptp.v1_xreal_0 B)) (and (tptp.v1_xcmplx_0 _let_1) (tptp.v1_xreal_0 _let_1))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.v1_xreal_0 A))) (=> (and _let_1 (tptp.v2_xreal_0 A)) (and (not (tptp.v1_xboole_0 A)) (tptp.v1_xcmplx_0 A) _let_1 (not (tptp.v3_xreal_0 A)))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.v1_xreal_0 A))) (=> (and (not (tptp.v1_xboole_0 A)) _let_1 (not (tptp.v3_xreal_0 A))) (and (tptp.v1_xcmplx_0 A) _let_1 (tptp.v2_xreal_0 A))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.v1_xreal_0 A))) (=> (and _let_1 (tptp.v3_xreal_0 A)) (and (not (tptp.v1_xboole_0 A)) (tptp.v1_xcmplx_0 A) _let_1 (not (tptp.v2_xreal_0 A)))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.v1_xreal_0 A))) (=> (and (not (tptp.v1_xboole_0 A)) _let_1 (not (tptp.v2_xreal_0 A))) (and (tptp.v1_xcmplx_0 A) _let_1 (tptp.v3_xreal_0 A))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.v1_xreal_0 A))) (=> (and (tptp.v1_xboole_0 A) _let_1) (and (tptp.v1_xcmplx_0 A) _let_1 (not (tptp.v2_xreal_0 A)) (not (tptp.v3_xreal_0 A)))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.v1_xreal_0 A))) (=> (and _let_1 (not (tptp.v2_xreal_0 A)) (not (tptp.v3_xreal_0 A))) (and (tptp.v1_xboole_0 A) (tptp.v1_xcmplx_0 A) _let_1)))) (exists ((A $$unsorted)) (and (not (tptp.v1_xboole_0 A)) (tptp.v1_xcmplx_0 A) (tptp.v1_xreal_0 A) (tptp.v2_xreal_0 A) (not (tptp.v3_xreal_0 A)))) (exists ((A $$unsorted)) (and (not (tptp.v1_xboole_0 A)) (tptp.v1_xcmplx_0 A) (tptp.v1_xreal_0 A) (not (tptp.v2_xreal_0 A)) (tptp.v3_xreal_0 A))) (exists ((A $$unsorted)) (and (tptp.v1_xboole_0 A) (tptp.v1_xcmplx_0 A) (tptp.v1_xreal_0 A) (not (tptp.v2_xreal_0 A)) (not (tptp.v3_xreal_0 A)))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k2_xcmplx_0 A B))) (=> (and (tptp.v1_xreal_0 A) (not (tptp.v3_xreal_0 A)) (tptp.v1_xreal_0 B) (not (tptp.v3_xreal_0 B))) (and (tptp.v1_xcmplx_0 _let_1) (tptp.v1_xreal_0 _let_1) (not (tptp.v3_xreal_0 _let_1)))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k2_xcmplx_0 A B))) (=> (and (tptp.v1_xreal_0 A) (not (tptp.v2_xreal_0 A)) (tptp.v1_xreal_0 B) (not (tptp.v2_xreal_0 B))) (and (tptp.v1_xcmplx_0 _let_1) (tptp.v1_xreal_0 _let_1) (not (tptp.v2_xreal_0 _let_1)))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k2_xcmplx_0 A B))) (=> (and (tptp.v1_xreal_0 A) (tptp.v2_xreal_0 A) (tptp.v1_xreal_0 B) (not (tptp.v3_xreal_0 B))) (and (not (tptp.v1_xboole_0 _let_1)) (tptp.v1_xcmplx_0 _let_1) (tptp.v1_xreal_0 _let_1) (tptp.v2_xreal_0 _let_1) (not (tptp.v3_xreal_0 _let_1)))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k2_xcmplx_0 B A))) (=> (and (tptp.v1_xreal_0 A) (tptp.v2_xreal_0 A) (tptp.v1_xreal_0 B) (not (tptp.v3_xreal_0 B))) (and (not (tptp.v1_xboole_0 _let_1)) (tptp.v1_xcmplx_0 _let_1) (tptp.v1_xreal_0 _let_1) (tptp.v2_xreal_0 _let_1) (not (tptp.v3_xreal_0 _let_1)))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k2_xcmplx_0 A B))) (=> (and (tptp.v1_xreal_0 A) (tptp.v3_xreal_0 A) (tptp.v1_xreal_0 B) (not (tptp.v2_xreal_0 B))) (and (not (tptp.v1_xboole_0 _let_1)) (tptp.v1_xcmplx_0 _let_1) (tptp.v1_xreal_0 _let_1) (not (tptp.v2_xreal_0 _let_1)) (tptp.v3_xreal_0 _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k2_xcmplx_0 B A))) (=> (and (tptp.v1_xreal_0 A) (tptp.v3_xreal_0 A) (tptp.v1_xreal_0 B) (not (tptp.v2_xreal_0 B))) (and (not (tptp.v1_xboole_0 _let_1)) (tptp.v1_xcmplx_0 _let_1) (tptp.v1_xreal_0 _let_1) (not (tptp.v2_xreal_0 _let_1)) (tptp.v3_xreal_0 _let_1))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k4_xcmplx_0 A))) (=> (and (tptp.v1_xreal_0 A) (not (tptp.v2_xreal_0 A))) (and (tptp.v1_xcmplx_0 _let_1) (tptp.v1_xreal_0 _let_1) (not (tptp.v3_xreal_0 _let_1)))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k4_xcmplx_0 A))) (=> (and (tptp.v1_xreal_0 A) (not (tptp.v3_xreal_0 A))) (and (tptp.v1_xcmplx_0 _let_1) (tptp.v1_xreal_0 _let_1) (not (tptp.v2_xreal_0 _let_1)))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k6_xcmplx_0 A B))) (=> (and (tptp.v1_xreal_0 A) (not (tptp.v3_xreal_0 A)) (tptp.v1_xreal_0 B) (not (tptp.v2_xreal_0 B))) (and (tptp.v1_xcmplx_0 _let_1) (tptp.v1_xreal_0 _let_1) (not (tptp.v3_xreal_0 _let_1)))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k6_xcmplx_0 B A))) (=> (and (tptp.v1_xreal_0 A) (not (tptp.v3_xreal_0 A)) (tptp.v1_xreal_0 B) (not (tptp.v2_xreal_0 B))) (and (tptp.v1_xcmplx_0 _let_1) (tptp.v1_xreal_0 _let_1) (not (tptp.v2_xreal_0 _let_1)))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k6_xcmplx_0 A B))) (=> (and (tptp.v1_xreal_0 A) (tptp.v2_xreal_0 A) (tptp.v1_xreal_0 B) (not (tptp.v2_xreal_0 B))) (and (not (tptp.v1_xboole_0 _let_1)) (tptp.v1_xcmplx_0 _let_1) (tptp.v1_xreal_0 _let_1) (tptp.v2_xreal_0 _let_1) (not (tptp.v3_xreal_0 _let_1)))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k6_xcmplx_0 B A))) (=> (and (tptp.v1_xreal_0 A) (tptp.v2_xreal_0 A) (tptp.v1_xreal_0 B) (not (tptp.v2_xreal_0 B))) (and (not (tptp.v1_xboole_0 _let_1)) (tptp.v1_xcmplx_0 _let_1) (tptp.v1_xreal_0 _let_1) (not (tptp.v2_xreal_0 _let_1)) (tptp.v3_xreal_0 _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k6_xcmplx_0 A B))) (=> (and (tptp.v1_xreal_0 A) (tptp.v3_xreal_0 A) (tptp.v1_xreal_0 B) (not (tptp.v3_xreal_0 B))) (and (not (tptp.v1_xboole_0 _let_1)) (tptp.v1_xcmplx_0 _let_1) (tptp.v1_xreal_0 _let_1) (not (tptp.v2_xreal_0 _let_1)) (tptp.v3_xreal_0 _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k6_xcmplx_0 B A))) (=> (and (tptp.v1_xreal_0 A) (tptp.v3_xreal_0 A) (tptp.v1_xreal_0 B) (not (tptp.v3_xreal_0 B))) (and (not (tptp.v1_xboole_0 _let_1)) (tptp.v1_xcmplx_0 _let_1) (tptp.v1_xreal_0 _let_1) (tptp.v2_xreal_0 _let_1) (not (tptp.v3_xreal_0 _let_1)))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k3_xcmplx_0 A B))) (=> (and (tptp.v1_xreal_0 A) (not (tptp.v2_xreal_0 A)) (tptp.v1_xreal_0 B) (not (tptp.v3_xreal_0 B))) (and (tptp.v1_xcmplx_0 _let_1) (tptp.v1_xreal_0 _let_1) (not (tptp.v2_xreal_0 _let_1)))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k3_xcmplx_0 B A))) (=> (and (tptp.v1_xreal_0 A) (not (tptp.v2_xreal_0 A)) (tptp.v1_xreal_0 B) (not (tptp.v3_xreal_0 B))) (and (tptp.v1_xcmplx_0 _let_1) (tptp.v1_xreal_0 _let_1) (not (tptp.v2_xreal_0 _let_1)))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k3_xcmplx_0 A B))) (=> (and (tptp.v1_xreal_0 A) (not (tptp.v2_xreal_0 A)) (tptp.v1_xreal_0 B) (not (tptp.v2_xreal_0 B))) (and (tptp.v1_xcmplx_0 _let_1) (tptp.v1_xreal_0 _let_1) (not (tptp.v3_xreal_0 _let_1)))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k3_xcmplx_0 A B))) (=> (and (tptp.v1_xreal_0 A) (not (tptp.v3_xreal_0 A)) (tptp.v1_xreal_0 B) (not (tptp.v3_xreal_0 B))) (and (tptp.v1_xcmplx_0 _let_1) (tptp.v1_xreal_0 _let_1) (not (tptp.v3_xreal_0 _let_1)))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k5_xcmplx_0 A))) (=> (and (tptp.v1_xreal_0 A) (not (tptp.v2_xreal_0 A))) (and (tptp.v1_xcmplx_0 _let_1) (tptp.v1_xreal_0 _let_1) (not (tptp.v2_xreal_0 _let_1)))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k5_xcmplx_0 A))) (=> (and (tptp.v1_xreal_0 A) (not (tptp.v3_xreal_0 A))) (and (tptp.v1_xcmplx_0 _let_1) (tptp.v1_xreal_0 _let_1) (not (tptp.v3_xreal_0 _let_1)))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k7_xcmplx_0 A B))) (=> (and (tptp.v1_xreal_0 A) (not (tptp.v3_xreal_0 A)) (tptp.v1_xreal_0 B) (not (tptp.v2_xreal_0 B))) (and (tptp.v1_xcmplx_0 _let_1) (tptp.v1_xreal_0 _let_1) (not (tptp.v2_xreal_0 _let_1)))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k7_xcmplx_0 B A))) (=> (and (tptp.v1_xreal_0 A) (not (tptp.v3_xreal_0 A)) (tptp.v1_xreal_0 B) (not (tptp.v2_xreal_0 B))) (and (tptp.v1_xcmplx_0 _let_1) (tptp.v1_xreal_0 _let_1) (not (tptp.v2_xreal_0 _let_1)))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k7_xcmplx_0 A B))) (=> (and (tptp.v1_xreal_0 A) (not (tptp.v3_xreal_0 A)) (tptp.v1_xreal_0 B) (not (tptp.v3_xreal_0 B))) (and (tptp.v1_xcmplx_0 _let_1) (tptp.v1_xreal_0 _let_1) (not (tptp.v3_xreal_0 _let_1)))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k7_xcmplx_0 A B))) (=> (and (tptp.v1_xreal_0 A) (not (tptp.v2_xreal_0 A)) (tptp.v1_xreal_0 B) (not (tptp.v2_xreal_0 B))) (and (tptp.v1_xcmplx_0 _let_1) (tptp.v1_xreal_0 _let_1) (not (tptp.v3_xreal_0 _let_1)))))) (forall ((A $$unsorted)) (= (tptp.v1_xreal_0 A) (tptp.r2_hidden A tptp.k1_numbers))) (forall ((A $$unsorted)) (=> (tptp.v1_xreal_0 A) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 (tptp.k1_tarski tptp.np__0) tptp.k2_arytm_2))) (let ((_let_2 (tptp.r2_hidden A _let_1))) (let ((_let_3 (tptp.r2_hidden B tptp.k2_arytm_2))) (let ((_let_4 (tptp.r1_xreal_0 A B))) (let ((_let_5 (and _let_2 (tptp.r2_hidden B _let_1)))) (let ((_let_6 (and (tptp.r2_hidden A tptp.k2_arytm_2) _let_3))) (=> (tptp.v1_xreal_0 B) (and (=> _let_6 (= _let_4 (exists ((C $$unsorted)) (and (tptp.m1_subset_1 C tptp.k2_arytm_2) (exists ((D $$unsorted)) (and (tptp.m1_subset_1 D tptp.k2_arytm_2) (= A C) (= B D) (tptp.r1_arytm_2 C D))))))) (=> _let_5 (= _let_4 (exists ((C $$unsorted)) (and (tptp.m1_subset_1 C tptp.k2_arytm_2) (exists ((D $$unsorted)) (and (tptp.m1_subset_1 D tptp.k2_arytm_2) (= A (tptp.k4_tarski tptp.np__0 C)) (= B (tptp.k4_tarski tptp.np__0 D)) (tptp.r1_arytm_2 D C))))))) (not (and (not _let_6) (not _let_5) (not (= _let_4 (and _let_3 _let_2)))))))))))))))) (forall ((A $$unsorted)) (=> (tptp.v1_xreal_0 A) (= (tptp.v2_xreal_0 A) (not (tptp.r1_xreal_0 A tptp.np__0))))) (forall ((A $$unsorted)) (=> (tptp.v1_xreal_0 A) (= (tptp.v3_xreal_0 A) (not (tptp.r1_xreal_0 tptp.np__0 A))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_xreal_0 A) (tptp.v1_xreal_0 B)) (tptp.r1_xreal_0 A A))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_xreal_0 A) (tptp.v1_xreal_0 B)) (or (tptp.r1_xreal_0 A B) (tptp.r1_xreal_0 B A)))) (forall ((A $$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 $$unsorted)) (=> (tptp.m1_subset_1 A (tptp.k1_zfmisc_1 tptp.k5_numbers)) (and (tptp.v1_membered A) (tptp.v2_membered A) (tptp.v3_membered A) (tptp.v4_membered A) (tptp.v5_membered A)))) (and _let_18 (tptp.v1_membered tptp.k2_numbers)) (and _let_17 (tptp.v1_membered tptp.k1_numbers) (tptp.v2_membered tptp.k1_numbers)) (and _let_16 (tptp.v1_membered tptp.k3_numbers) (tptp.v2_membered tptp.k3_numbers) (tptp.v3_membered tptp.k3_numbers)) (and _let_15 (tptp.v1_membered tptp.k4_numbers) (tptp.v2_membered tptp.k4_numbers) (tptp.v3_membered tptp.k4_numbers) (tptp.v4_membered tptp.k4_numbers)) (and (tptp.v1_membered tptp.k5_ordinal2) (tptp.v2_membered tptp.k5_ordinal2) (tptp.v3_membered tptp.k5_ordinal2) (tptp.v4_membered tptp.k5_ordinal2) (tptp.v5_membered tptp.k5_ordinal2)) (forall ((A $$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 $$unsorted)) (=> (tptp.m1_subset_1 B A) (and (tptp.v1_xcmplx_0 B) (tptp.v4_ordinal2 B) (tptp.v1_xreal_0 B) (tptp.v1_int_1 B) (tptp.v1_rat_1 B)))))) (and _let_14 (tptp.v1_membered tptp.k1_xboole_0) (tptp.v2_membered tptp.k1_xboole_0) (tptp.v3_membered tptp.k1_xboole_0) (tptp.v4_membered tptp.k1_xboole_0) (tptp.v5_membered tptp.k1_xboole_0)) (forall ((A $$unsorted)) (=> (tptp.v1_xboole_0 A) (and (tptp.v1_membered A) (tptp.v2_membered A) (tptp.v3_membered A) (tptp.v4_membered A) (tptp.v5_membered A)))) (forall ((A $$unsorted)) (=> (tptp.v1_xcmplx_0 A) (tptp.v1_membered (tptp.k1_tarski A)))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k1_tarski A))) (=> (tptp.v1_xreal_0 A) (and (tptp.v1_membered _let_1) (tptp.v2_membered _let_1))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k1_tarski A))) (=> (tptp.v1_rat_1 A) (and (tptp.v1_membered _let_1) (tptp.v2_membered _let_1) (tptp.v3_membered _let_1))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k1_tarski A))) (=> (tptp.v1_int_1 A) (and (tptp.v1_membered _let_1) (tptp.v2_membered _let_1) (tptp.v3_membered _let_1) (tptp.v4_membered _let_1))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k1_tarski A))) (=> (tptp.v4_ordinal2 A) (and (tptp.v1_membered _let_1) (tptp.v2_membered _let_1) (tptp.v3_membered _let_1) (tptp.v4_membered _let_1) (tptp.v5_membered _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_xcmplx_0 A) (tptp.v1_xcmplx_0 B)) (tptp.v1_membered (tptp.k2_tarski A B)))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k2_tarski A B))) (=> (and (tptp.v1_xreal_0 A) (tptp.v1_xreal_0 B)) (and (tptp.v1_membered _let_1) (tptp.v2_membered _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k2_tarski A B))) (=> (and (tptp.v1_rat_1 A) (tptp.v1_rat_1 B)) (and (tptp.v1_membered _let_1) (tptp.v2_membered _let_1) (tptp.v3_membered _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k2_tarski A B))) (=> (and (tptp.v1_int_1 A) (tptp.v1_int_1 B)) (and (tptp.v1_membered _let_1) (tptp.v2_membered _let_1) (tptp.v3_membered _let_1) (tptp.v4_membered _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k2_tarski A B))) (=> (and (tptp.v4_ordinal2 A) (tptp.v4_ordinal2 B)) (and (tptp.v1_membered _let_1) (tptp.v2_membered _let_1) (tptp.v3_membered _let_1) (tptp.v4_membered _let_1) (tptp.v5_membered _let_1))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_xcmplx_0 A) (tptp.v1_xcmplx_0 B) (tptp.v1_xcmplx_0 C)) (tptp.v1_membered (tptp.k1_enumset1 A B C)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k1_enumset1 A B C))) (=> (and (tptp.v1_xreal_0 A) (tptp.v1_xreal_0 B) (tptp.v1_xreal_0 C)) (and (tptp.v1_membered _let_1) (tptp.v2_membered _let_1))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k1_enumset1 A B C))) (=> (and (tptp.v1_rat_1 A) (tptp.v1_rat_1 B) (tptp.v1_rat_1 C)) (and (tptp.v1_membered _let_1) (tptp.v2_membered _let_1) (tptp.v3_membered _let_1))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k1_enumset1 A B C))) (=> (and (tptp.v1_int_1 A) (tptp.v1_int_1 B) (tptp.v1_int_1 C)) (and (tptp.v1_membered _let_1) (tptp.v2_membered _let_1) (tptp.v3_membered _let_1) (tptp.v4_membered _let_1))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k1_enumset1 A B C))) (=> (and (tptp.v4_ordinal2 A) (tptp.v4_ordinal2 B) (tptp.v4_ordinal2 C)) (and (tptp.v1_membered _let_1) (tptp.v2_membered _let_1) (tptp.v3_membered _let_1) (tptp.v4_membered _let_1) (tptp.v5_membered _let_1))))) (forall ((A $$unsorted)) (=> (tptp.v1_membered A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (tptp.v1_membered B))))) (forall ((A $$unsorted)) (=> (tptp.v2_membered A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (and (tptp.v1_membered B) (tptp.v2_membered B)))))) (forall ((A $$unsorted)) (=> (tptp.v3_membered A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (and (tptp.v1_membered B) (tptp.v2_membered B) (tptp.v3_membered B)))))) (forall ((A $$unsorted)) (=> (tptp.v4_membered A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (and (tptp.v1_membered B) (tptp.v2_membered B) (tptp.v3_membered B) (tptp.v4_membered B)))))) (forall ((A $$unsorted)) (=> (tptp.v5_membered A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (and (tptp.v1_membered B) (tptp.v2_membered B) (tptp.v3_membered B) (tptp.v4_membered B) (tptp.v5_membered B)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_membered A) (tptp.v1_membered B)) (tptp.v1_membered (tptp.k2_xboole_0 A B)))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k2_xboole_0 A B))) (=> (and (tptp.v2_membered A) (tptp.v2_membered B)) (and (tptp.v1_membered _let_1) (tptp.v2_membered _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k2_xboole_0 A B))) (=> (and (tptp.v3_membered A) (tptp.v3_membered B)) (and (tptp.v1_membered _let_1) (tptp.v2_membered _let_1) (tptp.v3_membered _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k2_xboole_0 A B))) (=> (and (tptp.v4_membered A) (tptp.v4_membered B)) (and (tptp.v1_membered _let_1) (tptp.v2_membered _let_1) (tptp.v3_membered _let_1) (tptp.v4_membered _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k2_xboole_0 A B))) (=> (and (tptp.v5_membered A) (tptp.v5_membered B)) (and (tptp.v1_membered _let_1) (tptp.v2_membered _let_1) (tptp.v3_membered _let_1) (tptp.v4_membered _let_1) (tptp.v5_membered _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.v1_membered A) (tptp.v1_membered (tptp.k3_xboole_0 A B)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.v1_membered A) (tptp.v1_membered (tptp.k3_xboole_0 B A)))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k3_xboole_0 A B))) (=> (tptp.v2_membered A) (and (tptp.v1_membered _let_1) (tptp.v2_membered _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k3_xboole_0 B A))) (=> (tptp.v2_membered A) (and (tptp.v1_membered _let_1) (tptp.v2_membered _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k3_xboole_0 A B))) (=> (tptp.v3_membered A) (and (tptp.v1_membered _let_1) (tptp.v2_membered _let_1) (tptp.v3_membered _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k3_xboole_0 B A))) (=> (tptp.v3_membered A) (and (tptp.v1_membered _let_1) (tptp.v2_membered _let_1) (tptp.v3_membered _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k3_xboole_0 A B))) (=> (tptp.v4_membered A) (and (tptp.v1_membered _let_1) (tptp.v2_membered _let_1) (tptp.v3_membered _let_1) (tptp.v4_membered _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k3_xboole_0 B A))) (=> (tptp.v4_membered A) (and (tptp.v1_membered _let_1) (tptp.v2_membered _let_1) (tptp.v3_membered _let_1) (tptp.v4_membered _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k3_xboole_0 A B))) (=> (tptp.v5_membered A) (and (tptp.v1_membered _let_1) (tptp.v2_membered _let_1) (tptp.v3_membered _let_1) (tptp.v4_membered _let_1) (tptp.v5_membered _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k3_xboole_0 B A))) (=> (tptp.v5_membered A) (and (tptp.v1_membered _let_1) (tptp.v2_membered _let_1) (tptp.v3_membered _let_1) (tptp.v4_membered _let_1) (tptp.v5_membered _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.v1_membered A) (tptp.v1_membered (tptp.k4_xboole_0 A B)))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k4_xboole_0 A B))) (=> (tptp.v2_membered A) (and (tptp.v1_membered _let_1) (tptp.v2_membered _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k4_xboole_0 A B))) (=> (tptp.v3_membered A) (and (tptp.v1_membered _let_1) (tptp.v2_membered _let_1) (tptp.v3_membered _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k4_xboole_0 A B))) (=> (tptp.v4_membered A) (and (tptp.v1_membered _let_1) (tptp.v2_membered _let_1) (tptp.v3_membered _let_1) (tptp.v4_membered _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k4_xboole_0 A B))) (=> (tptp.v5_membered A) (and (tptp.v1_membered _let_1) (tptp.v2_membered _let_1) (tptp.v3_membered _let_1) (tptp.v4_membered _let_1) (tptp.v5_membered _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_membered A) (tptp.v1_membered B)) (tptp.v1_membered (tptp.k5_xboole_0 A B)))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k5_xboole_0 A B))) (=> (and (tptp.v2_membered A) (tptp.v2_membered B)) (and (tptp.v1_membered _let_1) (tptp.v2_membered _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k5_xboole_0 A B))) (=> (and (tptp.v3_membered A) (tptp.v3_membered B)) (and (tptp.v1_membered _let_1) (tptp.v2_membered _let_1) (tptp.v3_membered _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k5_xboole_0 A B))) (=> (and (tptp.v4_membered A) (tptp.v4_membered B)) (and (tptp.v1_membered _let_1) (tptp.v2_membered _let_1) (tptp.v3_membered _let_1) (tptp.v4_membered _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k5_xboole_0 A B))) (=> (and (tptp.v5_membered A) (tptp.v5_membered B)) (and (tptp.v1_membered _let_1) (tptp.v2_membered _let_1) (tptp.v3_membered _let_1) (tptp.v4_membered _let_1) (tptp.v5_membered _let_1))))) (forall ((A $$unsorted)) (= (tptp.v1_membered A) (forall ((B $$unsorted)) (=> (tptp.r2_hidden B A) (tptp.v1_xcmplx_0 B))))) (forall ((A $$unsorted)) (= (tptp.v2_membered A) (forall ((B $$unsorted)) (=> (tptp.r2_hidden B A) (tptp.v1_xreal_0 B))))) (forall ((A $$unsorted)) (= (tptp.v3_membered A) (forall ((B $$unsorted)) (=> (tptp.r2_hidden B A) (tptp.v1_rat_1 B))))) (forall ((A $$unsorted)) (= (tptp.v4_membered A) (forall ((B $$unsorted)) (=> (tptp.r2_hidden B A) (tptp.v1_int_1 B))))) (forall ((A $$unsorted)) (= (tptp.v5_membered A) (forall ((B $$unsorted)) (=> (tptp.r2_hidden B A) (tptp.v4_ordinal2 B))))) (forall ((A $$unsorted)) (=> (tptp.v1_membered A) (tptp.r1_tarski A tptp.k2_numbers))) (forall ((A $$unsorted)) (=> (tptp.v2_membered A) (tptp.r1_tarski A tptp.k1_numbers))) (forall ((A $$unsorted)) (=> (tptp.v3_membered A) (tptp.r1_tarski A tptp.k3_numbers))) (forall ((A $$unsorted)) (=> (tptp.v4_membered A) (tptp.r1_tarski A tptp.k4_numbers))) (forall ((A $$unsorted)) (=> (tptp.v5_membered A) (tptp.r1_tarski A tptp.k5_numbers))) (forall ((A $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v1_membered A)) (exists ((B $$unsorted)) (and (tptp.v1_xcmplx_0 B) (tptp.r2_hidden B A))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v2_membered A)) (exists ((B $$unsorted)) (and (tptp.v1_xreal_0 B) (tptp.r2_hidden B A))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v3_membered A)) (exists ((B $$unsorted)) (and (tptp.v1_rat_1 B) (tptp.r2_hidden B A))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v4_membered A)) (exists ((B $$unsorted)) (and (tptp.v1_int_1 B) (tptp.r2_hidden B A))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v5_membered A)) (exists ((B $$unsorted)) (and (tptp.v4_ordinal2 B) (tptp.r2_hidden B A))))) (forall ((A $$unsorted)) (=> (tptp.v1_membered A) (=> (forall ((B $$unsorted)) (=> (tptp.v1_xcmplx_0 B) (tptp.r2_hidden B A))) (= A tptp.k2_numbers)))) (forall ((A $$unsorted)) (=> (tptp.v2_membered A) (=> (forall ((B $$unsorted)) (=> (tptp.v1_xreal_0 B) (tptp.r2_hidden B A))) (= A tptp.k1_numbers)))) (forall ((A $$unsorted)) (=> (tptp.v3_membered A) (=> (forall ((B $$unsorted)) (=> (tptp.v1_rat_1 B) (tptp.r2_hidden B A))) (= A tptp.k3_numbers)))) (forall ((A $$unsorted)) (=> (tptp.v4_membered A) (=> (forall ((B $$unsorted)) (=> (tptp.v1_int_1 B) (tptp.r2_hidden B A))) (= A tptp.k4_numbers)))) (forall ((A $$unsorted)) (=> (tptp.v5_membered A) (=> (forall ((B $$unsorted)) (=> (tptp.v4_ordinal2 B) (tptp.r2_hidden B A))) (= A tptp.k5_numbers)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.v1_membered B) (=> (tptp.r1_tarski A B) (tptp.v1_membered A)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.v2_membered B) (=> (tptp.r1_tarski A B) (tptp.v2_membered A)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.v3_membered B) (=> (tptp.r1_tarski A B) (tptp.v3_membered A)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.v4_membered B) (=> (tptp.r1_tarski A B) (tptp.v4_membered A)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.v5_membered B) (=> (tptp.r1_tarski A B) (tptp.v5_membered A)))) (forall ((A $$unsorted)) (=> (tptp.v1_membered A) (forall ((B $$unsorted)) (=> (tptp.v1_membered B) (= (tptp.r1_tarski A B) (forall ((C $$unsorted)) (=> (tptp.v1_xcmplx_0 C) (=> (tptp.r2_hidden C A) (tptp.r2_hidden C B))))))))) (forall ((A $$unsorted)) (=> (tptp.v2_membered A) (forall ((B $$unsorted)) (=> (tptp.v2_membered B) (= (tptp.r1_tarski A B) (forall ((C $$unsorted)) (=> (tptp.v1_xreal_0 C) (=> (tptp.r2_hidden C A) (tptp.r2_hidden C B))))))))) (forall ((A $$unsorted)) (=> (tptp.v3_membered A) (forall ((B $$unsorted)) (=> (tptp.v3_membered B) (= (tptp.r1_tarski A B) (forall ((C $$unsorted)) (=> (tptp.v1_rat_1 C) (=> (tptp.r2_hidden C A) (tptp.r2_hidden C B))))))))) (forall ((A $$unsorted)) (=> (tptp.v4_membered A) (forall ((B $$unsorted)) (=> (tptp.v4_membered B) (= (tptp.r1_tarski A B) (forall ((C $$unsorted)) (=> (tptp.v1_int_1 C) (=> (tptp.r2_hidden C A) (tptp.r2_hidden C B))))))))) (forall ((A $$unsorted)) (=> (tptp.v5_membered A) (forall ((B $$unsorted)) (=> (tptp.v5_membered B) (= (tptp.r1_tarski A B) (forall ((C $$unsorted)) (=> (tptp.v4_ordinal2 C) (=> (tptp.r2_hidden C A) (tptp.r2_hidden C B))))))))) (forall ((A $$unsorted)) (=> (tptp.v1_membered A) (forall ((B $$unsorted)) (=> (tptp.v1_membered B) (= (= A B) (forall ((C $$unsorted)) (=> (tptp.v1_xcmplx_0 C) (= (tptp.r2_hidden C A) (tptp.r2_hidden C B))))))))) (forall ((A $$unsorted)) (=> (tptp.v2_membered A) (forall ((B $$unsorted)) (=> (tptp.v2_membered B) (= (= A B) (forall ((C $$unsorted)) (=> (tptp.v1_xreal_0 C) (= (tptp.r2_hidden C A) (tptp.r2_hidden C B))))))))) (forall ((A $$unsorted)) (=> (tptp.v3_membered A) (forall ((B $$unsorted)) (=> (tptp.v3_membered B) (= (= A B) (forall ((C $$unsorted)) (=> (tptp.v1_rat_1 C) (= (tptp.r2_hidden C A) (tptp.r2_hidden C B))))))))) (forall ((A $$unsorted)) (=> (tptp.v4_membered A) (forall ((B $$unsorted)) (=> (tptp.v4_membered B) (= (= A B) (forall ((C $$unsorted)) (=> (tptp.v1_int_1 C) (= (tptp.r2_hidden C A) (tptp.r2_hidden C B))))))))) (forall ((A $$unsorted)) (=> (tptp.v5_membered A) (forall ((B $$unsorted)) (=> (tptp.v5_membered B) (= (= A B) (forall ((C $$unsorted)) (=> (tptp.v4_ordinal2 C) (= (tptp.r2_hidden C A) (tptp.r2_hidden C B))))))))) (forall ((A $$unsorted)) (=> (tptp.v1_membered A) (forall ((B $$unsorted)) (=> (tptp.v1_membered B) (= (tptp.r1_xboole_0 A B) (forall ((C $$unsorted)) (=> (tptp.v1_xcmplx_0 C) (not (and (tptp.r2_hidden C A) (tptp.r2_hidden C B)))))))))) (forall ((A $$unsorted)) (=> (tptp.v2_membered A) (forall ((B $$unsorted)) (=> (tptp.v2_membered B) (= (tptp.r1_xboole_0 A B) (forall ((C $$unsorted)) (=> (tptp.v1_xreal_0 C) (not (and (tptp.r2_hidden C A) (tptp.r2_hidden C B)))))))))) (forall ((A $$unsorted)) (=> (tptp.v3_membered A) (forall ((B $$unsorted)) (=> (tptp.v3_membered B) (= (tptp.r1_xboole_0 A B) (forall ((C $$unsorted)) (=> (tptp.v1_rat_1 C) (not (and (tptp.r2_hidden C A) (tptp.r2_hidden C B)))))))))) (forall ((A $$unsorted)) (=> (tptp.v4_membered A) (forall ((B $$unsorted)) (=> (tptp.v4_membered B) (= (tptp.r1_xboole_0 A B) (forall ((C $$unsorted)) (=> (tptp.v1_int_1 C) (not (and (tptp.r2_hidden C A) (tptp.r2_hidden C B)))))))))) (forall ((A $$unsorted)) (=> (tptp.v5_membered A) (forall ((B $$unsorted)) (=> (tptp.v5_membered B) (= (tptp.r1_xboole_0 A B) (forall ((C $$unsorted)) (=> (tptp.v4_ordinal2 C) (not (and (tptp.r2_hidden C A) (tptp.r2_hidden C B)))))))))) (forall ((A $$unsorted)) (=> (forall ((B $$unsorted)) (=> (tptp.r2_hidden B A) (tptp.v1_membered B))) (tptp.v1_membered (tptp.k3_tarski A)))) (forall ((A $$unsorted)) (=> (forall ((B $$unsorted)) (=> (tptp.r2_hidden B A) (tptp.v2_membered B))) (tptp.v2_membered (tptp.k3_tarski A)))) (forall ((A $$unsorted)) (=> (forall ((B $$unsorted)) (=> (tptp.r2_hidden B A) (tptp.v3_membered B))) (tptp.v3_membered (tptp.k3_tarski A)))) (forall ((A $$unsorted)) (=> (forall ((B $$unsorted)) (=> (tptp.r2_hidden B A) (tptp.v4_membered B))) (tptp.v4_membered (tptp.k3_tarski A)))) (forall ((A $$unsorted)) (=> (forall ((B $$unsorted)) (=> (tptp.r2_hidden B A) (tptp.v5_membered B))) (tptp.v5_membered (tptp.k3_tarski A)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.r2_hidden B A) (tptp.v1_membered B)) (tptp.v1_membered (tptp.k1_setfam_1 A)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.r2_hidden B A) (tptp.v2_membered B)) (tptp.v2_membered (tptp.k1_setfam_1 A)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.r2_hidden B A) (tptp.v3_membered B)) (tptp.v3_membered (tptp.k1_setfam_1 A)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.r2_hidden B A) (tptp.v4_membered B)) (tptp.v4_membered (tptp.k1_setfam_1 A)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.r2_hidden B A) (tptp.v5_membered B)) (tptp.v5_membered (tptp.k1_setfam_1 A)))) (exists ((A $$unsorted)) (and (tptp.v1_membered A) (forall ((B $$unsorted)) (=> (tptp.v1_xcmplx_0 B) (= (tptp.r2_hidden B A) (tptp.p1_s1_membered B)))))) (exists ((A $$unsorted)) (and (tptp.v2_membered A) (forall ((B $$unsorted)) (=> (tptp.v1_xreal_0 B) (= (tptp.r2_hidden B A) (tptp.p1_s2_membered B)))))) (exists ((A $$unsorted)) (and (tptp.v3_membered A) (forall ((B $$unsorted)) (=> (tptp.v1_rat_1 B) (= (tptp.r2_hidden B A) (tptp.p1_s3_membered B)))))) (exists ((A $$unsorted)) (and (tptp.v4_membered A) (forall ((B $$unsorted)) (=> (tptp.v1_int_1 B) (= (tptp.r2_hidden B A) (tptp.p1_s4_membered B)))))) (exists ((A $$unsorted)) (and (tptp.v5_membered A) (forall ((B $$unsorted)) (=> (tptp.v4_ordinal2 B) (= (tptp.r2_hidden B A) (tptp.p1_s5_membered B)))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k1_eqrel_1 A))) (and (tptp.v1_relat_1 _let_1) (tptp.v1_relat_2 _let_1) (tptp.v1_partfun1 _let_1 A A)))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k1_eqrel_1 A))) (and (tptp.v1_relat_1 _let_1) (tptp.v1_relat_2 _let_1) (tptp.v3_relat_2 _let_1) (tptp.v8_relat_2 _let_1) (tptp.v1_partfun1 _let_1 A A)))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (tptp.m1_eqrel_1 B A) (not (tptp.v1_xboole_0 B)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_eqrel_1 B A) (tptp.v1_setfam_1 B))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v3_relat_2 B) (tptp.v8_relat_2 B) (tptp.v1_partfun1 B A A) (tptp.m1_relset_1 B A A)) (not (tptp.v1_xboole_0 (tptp.k7_eqrel_1 A B))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k7_eqrel_1 A B))) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v3_relat_2 B) (tptp.v8_relat_2 B) (tptp.v1_partfun1 B A A) (tptp.m1_relset_1 B A A)) (and (not (tptp.v1_xboole_0 _let_1)) (tptp.v1_setfam_1 _let_1))))) (forall ((A $$unsorted)) (= (tptp.k1_eqrel_1 A) (tptp.k2_zfmisc_1 A A))) true true true (forall ((A $$unsorted)) (let ((_let_1 (tptp.k6_partfun1 A))) (and (tptp.r1_relat_2 _let_1 A) (tptp.r3_relat_2 _let_1 A) (tptp.r8_relat_2 _let_1 A)))) true (forall ((A $$unsorted)) (let ((_let_1 (tptp.k6_partfun1 A))) (and (tptp.v3_relat_2 _let_1) (tptp.v8_relat_2 _let_1) (tptp.v1_partfun1 _let_1 A A) (tptp.m2_relset_1 _let_1 A A)))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k1_eqrel_1 A))) (and (tptp.v3_relat_2 _let_1) (tptp.v8_relat_2 _let_1) (tptp.v1_partfun1 _let_1 A A) (tptp.m2_relset_1 _let_1 A A)))) true true true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_relat_2 C) (tptp.v1_partfun1 C A A) (tptp.m2_relset_1 C A A)) (=> (tptp.r2_hidden B A) (tptp.r2_hidden (tptp.k4_tarski B B) C)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.v3_relat_2 D) (tptp.v1_partfun1 D A A) (tptp.m2_relset_1 D A A)) (=> (tptp.r2_hidden (tptp.k4_tarski B C) D) (tptp.r2_hidden (tptp.k4_tarski C B) D)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (=> (and (tptp.v8_relat_2 E) (tptp.v1_partfun1 E A A) (tptp.m2_relset_1 E A A)) (=> (and (tptp.r2_hidden (tptp.k4_tarski B C) E) (tptp.r2_hidden (tptp.k4_tarski C D) E)) (tptp.r2_hidden (tptp.k4_tarski B D) E)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_relat_2 B) (tptp.v1_partfun1 B A A) (tptp.m2_relset_1 B A A)) (not (and (exists ((C $$unsorted)) (tptp.r2_hidden C A)) (= B tptp.k1_xboole_0))))) true (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.v8_relat_2 B))) (let ((_let_2 (tptp.v3_relat_2 B))) (let ((_let_3 (tptp.m2_relset_1 B A A))) (=> _let_3 (= (and _let_2 _let_1 (tptp.v1_partfun1 B A A) _let_3) (and (tptp.v1_relat_2 B) _let_2 _let_1 (= (tptp.k3_relat_1 B) A)))))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k6_partfun1 A))) (=> (and (tptp.v3_relat_2 B) (tptp.v8_relat_2 B) (tptp.v1_partfun1 B A A) (tptp.m2_relset_1 B A A)) (= (tptp.k4_eqrel_1 A _let_1 B) _let_1)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m2_relset_1 B A A) (= (tptp.k2_eqrel_1 A (tptp.k1_eqrel_1 A) B) B))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A A))) (let ((_let_2 (tptp.k6_setfam_1 _let_1 B))) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 _let_1))) (=> (forall ((C $$unsorted)) (=> (tptp.r2_hidden C B) (and (tptp.v3_relat_2 C) (tptp.v8_relat_2 C) (tptp.v1_partfun1 C A A) (tptp.m2_relset_1 C A A)))) (or (= B tptp.k1_xboole_0) (and (tptp.v3_relat_2 _let_2) (tptp.v8_relat_2 _let_2) (tptp.v1_partfun1 _let_2 A A) (tptp.m2_relset_1 _let_2 A A)))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m2_relset_1 B A A) (exists ((C $$unsorted)) (and (tptp.v3_relat_2 C) (tptp.v8_relat_2 C) (tptp.v1_partfun1 C A A) (tptp.m2_relset_1 C A A) (tptp.r1_tarski B C) (forall ((D $$unsorted)) (=> (and (tptp.v3_relat_2 D) (tptp.v8_relat_2 D) (tptp.v1_partfun1 D A A) (tptp.m2_relset_1 D A A)) (=> (tptp.r1_tarski B D) (tptp.r1_tarski C D)))))))) true (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v3_relat_2 B) (tptp.v8_relat_2 B) (tptp.v1_partfun1 B A A) (tptp.m2_relset_1 B A A)) (forall ((C $$unsorted)) (=> (and (tptp.v3_relat_2 C) (tptp.v8_relat_2 C) (tptp.v1_partfun1 C A A) (tptp.m2_relset_1 C A A)) (forall ((D $$unsorted)) (=> (and (tptp.v3_relat_2 D) (tptp.v8_relat_2 D) (tptp.v1_partfun1 D A A) (tptp.m2_relset_1 D A A)) (= (= D (tptp.k5_eqrel_1 A B C)) (and (tptp.r1_tarski (tptp.k3_eqrel_1 A B C) D) (forall ((E $$unsorted)) (=> (and (tptp.v3_relat_2 E) (tptp.v8_relat_2 E) (tptp.v1_partfun1 E A A) (tptp.m2_relset_1 E A A)) (=> (tptp.r1_tarski (tptp.k3_eqrel_1 A B C) E) (tptp.r1_tarski D E)))))))))))) true (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v3_relat_2 B) (tptp.v8_relat_2 B) (tptp.v1_partfun1 B A A) (tptp.m2_relset_1 B A A)) (= (tptp.k5_eqrel_1 A B B) B))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v3_relat_2 B) (tptp.v8_relat_2 B) (tptp.v1_partfun1 B A A) (tptp.m2_relset_1 B A A)) (forall ((C $$unsorted)) (=> (and (tptp.v3_relat_2 C) (tptp.v8_relat_2 C) (tptp.v1_partfun1 C A A) (tptp.m2_relset_1 C A A)) (= (tptp.k5_eqrel_1 A B C) (tptp.k5_eqrel_1 A C B)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v3_relat_2 B) (tptp.v8_relat_2 B) (tptp.v1_partfun1 B A A) (tptp.m2_relset_1 B A A)) (forall ((C $$unsorted)) (=> (and (tptp.v3_relat_2 C) (tptp.v8_relat_2 C) (tptp.v1_partfun1 C A A) (tptp.m2_relset_1 C A A)) (= (tptp.k4_eqrel_1 A B (tptp.k5_eqrel_1 A B C)) B))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v3_relat_2 B) (tptp.v8_relat_2 B) (tptp.v1_partfun1 B A A) (tptp.m2_relset_1 B A A)) (forall ((C $$unsorted)) (=> (and (tptp.v3_relat_2 C) (tptp.v8_relat_2 C) (tptp.v1_partfun1 C A A) (tptp.m2_relset_1 C A A)) (= (tptp.k5_eqrel_1 A B (tptp.k4_eqrel_1 A B C)) B))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_relat_2 B) (tptp.v3_relat_2 B) (tptp.v1_partfun1 B A A) (tptp.m2_relset_1 B A A)) (forall ((C $$unsorted)) (= (tptp.k6_eqrel_1 A B C) (tptp.k10_relset_1 A A B (tptp.k1_tarski C)))))) true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.v1_relat_2 D) (tptp.v3_relat_2 D) (tptp.v1_partfun1 D A A) (tptp.m2_relset_1 D A A)) (= (tptp.r2_hidden B (tptp.k6_eqrel_1 A D C)) (tptp.r2_hidden (tptp.k4_tarski B C) D)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_relat_2 B) (tptp.v3_relat_2 B) (tptp.v1_partfun1 B A A) (tptp.m2_relset_1 B A A)) (forall ((C $$unsorted)) (=> (tptp.r2_hidden C A) (tptp.r2_hidden C (tptp.k6_eqrel_1 A B C)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_relat_2 B) (tptp.v3_relat_2 B) (tptp.v1_partfun1 B A A) (tptp.m2_relset_1 B A A)) (forall ((C $$unsorted)) (not (and (tptp.r2_hidden C A) (forall ((D $$unsorted)) (not (tptp.r2_hidden C (tptp.k6_eqrel_1 A B D))))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (let ((_let_1 (tptp.k6_eqrel_1 A E C))) (=> (and (tptp.v1_relat_2 E) (tptp.v3_relat_2 E) (tptp.v8_relat_2 E) (tptp.v1_partfun1 E A A) (tptp.m2_relset_1 E A A)) (=> (and (tptp.r2_hidden B _let_1) (tptp.r2_hidden D _let_1)) (tptp.r2_hidden (tptp.k4_tarski B D) E))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v3_relat_2 C) (tptp.v8_relat_2 C) (tptp.v1_partfun1 C A A) (tptp.m2_relset_1 C A A)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k6_eqrel_1 A C D))) (=> (tptp.r2_hidden D A) (= (tptp.r2_hidden B _let_1) (= _let_1 (tptp.k6_eqrel_1 A C B)))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v3_relat_2 B) (tptp.v8_relat_2 B) (tptp.v1_partfun1 B A A) (tptp.m2_relset_1 B A A)) (forall ((C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k6_eqrel_1 A B D))) (let ((_let_2 (tptp.k6_eqrel_1 A B C))) (not (and (tptp.r2_hidden C A) (tptp.r2_hidden D A) (not (= _let_2 _let_1)) (not (tptp.r1_xboole_0 _let_2 _let_1))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.r2_hidden B A) (= (tptp.k6_eqrel_1 A (tptp.k6_partfun1 A) B) (tptp.k1_tarski B)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.r2_hidden B A) (= (tptp.k6_eqrel_1 A (tptp.k1_eqrel_1 A) B) A))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v3_relat_2 B) (tptp.v8_relat_2 B) (tptp.v1_partfun1 B A A) (tptp.m2_relset_1 B A A)) (=> (exists ((C $$unsorted)) (= (tptp.k6_eqrel_1 A B C) A)) (= B (tptp.k1_eqrel_1 A))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.v3_relat_2 D) (tptp.v8_relat_2 D) (tptp.v1_partfun1 D B B) (tptp.m2_relset_1 D B B)) (forall ((E $$unsorted)) (=> (and (tptp.v3_relat_2 E) (tptp.v8_relat_2 E) (tptp.v1_partfun1 E B B) (tptp.m2_relset_1 E B B)) (=> (tptp.r2_hidden A B) (= (tptp.r2_hidden (tptp.k4_tarski A C) (tptp.k5_eqrel_1 B D E)) (exists ((F $$unsorted)) (let ((_let_1 (tptp.k3_finseq_1 F))) (and (tptp.v1_relat_1 F) (tptp.v1_funct_1 F) (tptp.v1_finseq_1 F) (tptp.r1_xreal_0 tptp.np__1 _let_1) (= A (tptp.k1_funct_1 F tptp.np__1)) (= C (tptp.k1_funct_1 F _let_1)) (forall ((G $$unsorted)) (=> (tptp.m2_subset_1 G tptp.k1_numbers tptp.k5_numbers) (=> (tptp.r1_xreal_0 tptp.np__1 G) (or (tptp.r1_xreal_0 (tptp.k3_finseq_1 F) G) (tptp.r2_hidden (tptp.k4_tarski (tptp.k1_funct_1 F G) (tptp.k1_funct_1 F (tptp.k1_nat_1 G tptp.np__1))) (tptp.k3_eqrel_1 B D E))))))))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v3_relat_2 B) (tptp.v8_relat_2 B) (tptp.v1_partfun1 B A A) (tptp.m2_relset_1 B A A)) (forall ((C $$unsorted)) (=> (and (tptp.v3_relat_2 C) (tptp.v8_relat_2 C) (tptp.v1_partfun1 C A A) (tptp.m2_relset_1 C A A)) (forall ((D $$unsorted)) (=> (and (tptp.v3_relat_2 D) (tptp.v8_relat_2 D) (tptp.v1_partfun1 D A A) (tptp.m2_relset_1 D A A)) (=> (= D (tptp.k3_eqrel_1 A B C)) (forall ((E $$unsorted)) (let ((_let_1 (tptp.k6_eqrel_1 A D E))) (not (and (tptp.r2_hidden E A) (not (= _let_1 (tptp.k6_eqrel_1 A B E))) (not (= _let_1 (tptp.k6_eqrel_1 A C E)))))))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v3_relat_2 B) (tptp.v8_relat_2 B) (tptp.v1_partfun1 B A A) (tptp.m2_relset_1 B A A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k1_eqrel_1 A))) (=> (and (tptp.v3_relat_2 C) (tptp.v8_relat_2 C) (tptp.v1_partfun1 C A A) (tptp.m2_relset_1 C A A)) (not (and (= (tptp.k3_eqrel_1 A B C) _let_1) (not (= B _let_1)) (not (= C _let_1))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v3_relat_2 B) (tptp.v8_relat_2 B) (tptp.v1_partfun1 B A A) (tptp.m2_relset_1 B A A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 A))) (= (= C (tptp.k7_eqrel_1 A B)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 A)) (= (tptp.r2_hidden D C) (exists ((E $$unsorted)) (and (tptp.r2_hidden E A) (= D (tptp.k6_eqrel_1 A B E)))))))))))) true (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v3_relat_2 B) (tptp.v8_relat_2 B) (tptp.v1_partfun1 B A A) (tptp.m2_relset_1 B A A)) (=> (= A tptp.k1_xboole_0) (= (tptp.k7_eqrel_1 A B) tptp.k1_xboole_0)))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.m1_eqrel_1 B A))) (let ((_let_2 (= A tptp.k1_xboole_0))) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 A))) (and (=> (not _let_2) (= _let_1 (and (= (tptp.k5_setfam_1 A B) A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 A)) (=> (tptp.r2_hidden C B) (and (not (= C tptp.k1_xboole_0)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 A)) (not (and (tptp.r2_hidden D B) (not (= C D)) (not (tptp.r1_xboole_0 C D))))))))))))) (=> _let_2 (= _let_1 (= B tptp.k1_xboole_0)))))))) true (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v3_relat_2 B) (tptp.v8_relat_2 B) (tptp.v1_partfun1 B A A) (tptp.m2_relset_1 B A A)) (tptp.m1_eqrel_1 (tptp.k7_eqrel_1 A B) A))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_eqrel_1 B A) (exists ((C $$unsorted)) (and (tptp.v3_relat_2 C) (tptp.v8_relat_2 C) (tptp.v1_partfun1 C A A) (tptp.m2_relset_1 C A A) (= B (tptp.k7_eqrel_1 A C)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v3_relat_2 C) (tptp.v8_relat_2 C) (tptp.v1_partfun1 C A A) (tptp.m2_relset_1 C A A)) (forall ((D $$unsorted)) (=> (tptp.r2_hidden D A) (= (tptp.r2_hidden (tptp.k4_tarski D B) C) (= (tptp.k6_eqrel_1 A C D) (tptp.k6_eqrel_1 A C B))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v3_relat_2 C) (tptp.v8_relat_2 C) (tptp.v1_partfun1 C B B) (tptp.m2_relset_1 C B B)) (not (and (tptp.r2_hidden A (tptp.k7_eqrel_1 B C)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D B) (not (= A (tptp.k6_eqrel_1 B C D))))))))) (=> (and (forall ((A $$unsorted)) (=> (tptp.r2_hidden A tptp.f1_s1_eqrel_1) (tptp.p1_s1_eqrel_1 A A))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.p1_s1_eqrel_1 A B) (tptp.p1_s1_eqrel_1 B A))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.p1_s1_eqrel_1 A B) (tptp.p1_s1_eqrel_1 B C)) (tptp.p1_s1_eqrel_1 A C)))) (exists ((A $$unsorted)) (and (tptp.v3_relat_2 A) (tptp.v8_relat_2 A) (tptp.v1_partfun1 A tptp.f1_s1_eqrel_1 tptp.f1_s1_eqrel_1) (tptp.m2_relset_1 A tptp.f1_s1_eqrel_1 tptp.f1_s1_eqrel_1) (forall ((B $$unsorted) (C $$unsorted)) (= (tptp.r2_hidden (tptp.k4_tarski B C) A) (and (tptp.r2_hidden B tptp.f1_s1_eqrel_1) (tptp.r2_hidden C tptp.f1_s1_eqrel_1) (tptp.p1_s1_eqrel_1 B C))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_eqrel_1 B A) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 A))))) (forall ((A $$unsorted)) (exists ((B $$unsorted)) (tptp.m1_eqrel_1 B A))) (forall ((A $$unsorted)) (tptp.m2_relset_1 (tptp.k1_eqrel_1 A) A A)) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.m1_relset_1 B A A) (tptp.m1_relset_1 C A A)) (tptp.m2_relset_1 (tptp.k2_eqrel_1 A B C) A A))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.m1_relset_1 B A A) (tptp.m1_relset_1 C A A)) (= (tptp.k2_eqrel_1 A B C) (tptp.k2_eqrel_1 A C B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.m1_relset_1 B A A) (tptp.m1_relset_1 C A A)) (= (tptp.k2_eqrel_1 A B B) B))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.m1_relset_1 B A A) (tptp.m1_relset_1 C A A)) (= (tptp.k2_eqrel_1 A B C) (tptp.k3_xboole_0 B C)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.m1_relset_1 B A A) (tptp.m1_relset_1 C A A)) (tptp.m2_relset_1 (tptp.k3_eqrel_1 A B C) A A))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.m1_relset_1 B A A) (tptp.m1_relset_1 C A A)) (= (tptp.k3_eqrel_1 A B C) (tptp.k3_eqrel_1 A C B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.m1_relset_1 B A A) (tptp.m1_relset_1 C A A)) (= (tptp.k3_eqrel_1 A B B) B))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.m1_relset_1 B A A) (tptp.m1_relset_1 C A A)) (= (tptp.k3_eqrel_1 A B C) (tptp.k2_xboole_0 B C)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k4_eqrel_1 A B C))) (=> (and (tptp.v3_relat_2 B) (tptp.v8_relat_2 B) (tptp.v1_partfun1 B A A) (tptp.m1_relset_1 B A A) (tptp.v3_relat_2 C) (tptp.v8_relat_2 C) (tptp.v1_partfun1 C A A) (tptp.m1_relset_1 C A A)) (and (tptp.v3_relat_2 _let_1) (tptp.v8_relat_2 _let_1) (tptp.v1_partfun1 _let_1 A A) (tptp.m2_relset_1 _let_1 A A))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v3_relat_2 B) (tptp.v8_relat_2 B) (tptp.v1_partfun1 B A A) (tptp.m1_relset_1 B A A) (tptp.v3_relat_2 C) (tptp.v8_relat_2 C) (tptp.v1_partfun1 C A A) (tptp.m1_relset_1 C A A)) (= (tptp.k4_eqrel_1 A B C) (tptp.k4_eqrel_1 A C B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v3_relat_2 B) (tptp.v8_relat_2 B) (tptp.v1_partfun1 B A A) (tptp.m1_relset_1 B A A) (tptp.v3_relat_2 C) (tptp.v8_relat_2 C) (tptp.v1_partfun1 C A A) (tptp.m1_relset_1 C A A)) (= (tptp.k4_eqrel_1 A B B) B))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v3_relat_2 B) (tptp.v8_relat_2 B) (tptp.v1_partfun1 B A A) (tptp.m1_relset_1 B A A) (tptp.v3_relat_2 C) (tptp.v8_relat_2 C) (tptp.v1_partfun1 C A A) (tptp.m1_relset_1 C A A)) (= (tptp.k4_eqrel_1 A B C) (tptp.k3_xboole_0 B C)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k5_eqrel_1 A B C))) (=> (and (tptp.v3_relat_2 B) (tptp.v8_relat_2 B) (tptp.v1_partfun1 B A A) (tptp.m1_relset_1 B A A) (tptp.v3_relat_2 C) (tptp.v8_relat_2 C) (tptp.v1_partfun1 C A A) (tptp.m1_relset_1 C A A)) (and (tptp.v3_relat_2 _let_1) (tptp.v8_relat_2 _let_1) (tptp.v1_partfun1 _let_1 A A) (tptp.m2_relset_1 _let_1 A A))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v3_relat_2 B) (tptp.v8_relat_2 B) (tptp.v1_partfun1 B A A) (tptp.m1_relset_1 B A A) (tptp.v3_relat_2 C) (tptp.v8_relat_2 C) (tptp.v1_partfun1 C A A) (tptp.m1_relset_1 C A A)) (= (tptp.k5_eqrel_1 A B C) (tptp.k5_eqrel_1 A C B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v3_relat_2 B) (tptp.v8_relat_2 B) (tptp.v1_partfun1 B A A) (tptp.m1_relset_1 B A A) (tptp.v3_relat_2 C) (tptp.v8_relat_2 C) (tptp.v1_partfun1 C A A) (tptp.m1_relset_1 C A A)) (= (tptp.k5_eqrel_1 A B B) B))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_relat_2 B) (tptp.v3_relat_2 B) (tptp.v1_partfun1 B A A) (tptp.m1_relset_1 B A A)) (tptp.m1_subset_1 (tptp.k6_eqrel_1 A B C) (tptp.k1_zfmisc_1 A)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v3_relat_2 B) (tptp.v8_relat_2 B) (tptp.v1_partfun1 B A A) (tptp.m1_relset_1 B A A)) (tptp.m1_subset_1 (tptp.k7_eqrel_1 A B) (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 A))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v3_relat_2 B) (tptp.v8_relat_2 B) (tptp.v1_partfun1 B A A) (tptp.m1_relset_1 B A A)) (tptp.m1_eqrel_1 (tptp.k8_eqrel_1 A B) A))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v3_relat_2 B) (tptp.v8_relat_2 B) (tptp.v1_partfun1 B A A) (tptp.m1_relset_1 B A A)) (= (tptp.k8_eqrel_1 A B) (tptp.k7_eqrel_1 A B)))) (exists ((A $$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 $$unsorted)) (and (tptp.l1_pre_topc A) (tptp.v1_pre_topc A))) (exists ((A $$unsorted)) (and (tptp.l1_pre_topc A) (not (tptp.v3_struct_0 A)) (tptp.v1_pre_topc A) (tptp.v2_pre_topc A))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k1_pre_topc A))) (=> (tptp.l1_struct_0 A) (and (tptp.v1_xboole_0 _let_1) (tptp.v1_membered _let_1) (tptp.v2_membered _let_1) (tptp.v3_membered _let_1) (tptp.v4_membered _let_1) (tptp.v5_membered _let_1))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_struct_0 A)) (not (tptp.v1_xboole_0 (tptp.k2_pre_topc A))))) (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (exists ((B $$unsorted)) (and (tptp.m1_pre_topc B A) (tptp.v1_pre_topc B))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_pre_topc A)) (exists ((B $$unsorted)) (and (tptp.m1_pre_topc B A) (not (tptp.v3_struct_0 B)) (tptp.v1_pre_topc B))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_pre_topc B A) (tptp.v2_pre_topc B))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k3_pre_topc A B))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_pre_topc A) (not (tptp.v1_xboole_0 B)) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v1_pre_topc _let_1))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (exists ((B $$unsorted)) (and (tptp.m1_pre_topc B A) (tptp.v1_pre_topc B) (tptp.v2_pre_topc B))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k3_pre_topc A B))) (=> (and (tptp.v2_pre_topc A) (tptp.l1_pre_topc A) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (and (tptp.v1_pre_topc _let_1) (tptp.v2_pre_topc _let_1))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (tptp.v4_pre_topc (tptp.k2_pre_topc A) A))) (forall ((A $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (exists ((B $$unsorted)) (and (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (tptp.v4_pre_topc B A))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (exists ((B $$unsorted)) (and (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (not (tptp.v1_xboole_0 B)) (tptp.v4_pre_topc B A))))) (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (= (tptp.v2_pre_topc A) (and (tptp.r2_hidden (tptp.u1_struct_0 A) (tptp.u1_pre_topc A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_pre_topc A))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 _let_2))) (=> (tptp.r1_tarski B _let_1) (tptp.r2_hidden (tptp.k5_setfam_1 _let_2 B) _let_1)))))) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_pre_topc A))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 _let_2)) (=> (and (tptp.r2_hidden B _let_1) (tptp.r2_hidden C _let_1)) (tptp.r2_hidden (tptp.k5_subset_1 _let_2 B C) _let_1)))))))))))) true true true true (forall ((A $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (tptp.r2_hidden tptp.k1_xboole_0 (tptp.u1_pre_topc A)))) (forall ((A $$unsorted)) (=> (tptp.l1_struct_0 A) (= (tptp.k1_pre_topc A) tptp.k1_xboole_0))) _let_13 true true true true true true (forall ((A $$unsorted)) (=> (tptp.l1_struct_0 A) (= (tptp.k2_pre_topc A) (tptp.u1_struct_0 A)))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_struct_0 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (tptp.r2_hidden B (tptp.k2_pre_topc A)))))) (forall ((A $$unsorted)) (=> (tptp.l1_struct_0 A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (tptp.r1_tarski B (tptp.k2_pre_topc A)))))) (forall ((A $$unsorted)) (=> (tptp.l1_struct_0 A) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 _let_1)) (= (tptp.k5_subset_1 _let_1 B (tptp.k2_pre_topc A)) B)))))) (forall ((A $$unsorted)) (=> (tptp.l1_struct_0 A) (forall ((B $$unsorted)) (=> (tptp.r1_tarski B (tptp.k2_pre_topc A)) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))))))) (forall ((A $$unsorted)) (=> (tptp.l1_struct_0 A) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 _let_1)) (= (tptp.k3_subset_1 _let_1 B) (tptp.k6_subset_1 _let_1 (tptp.k2_pre_topc A) B))))))) (forall ((A $$unsorted)) (=> (tptp.l1_struct_0 A) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 _let_1)) (= (tptp.k4_subset_1 _let_1 B (tptp.k3_subset_1 _let_1 B)) (tptp.k2_pre_topc A))))))) true true true (forall ((A $$unsorted)) (=> (tptp.l1_struct_0 A) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k2_pre_topc A))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 _let_2)) (= (tptp.k6_subset_1 _let_2 _let_1 (tptp.k6_subset_1 _let_2 _let_1 B)) B))))))) (forall ((A $$unsorted)) (=> (tptp.l1_struct_0 A) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k2_pre_topc A))) (let ((_let_2 (= B _let_1))) (let ((_let_3 (tptp.u1_struct_0 A))) (let ((_let_4 (= (tptp.k6_subset_1 _let_3 _let_1 B) tptp.k1_xboole_0))) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 _let_3)) (and (not (and (not _let_2) _let_4)) (not (and (not _let_4) _let_2))))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_struct_0 A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.k2_pre_topc A))) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 _let_1)) (=> (= (tptp.k6_subset_1 _let_1 _let_2 B) C) (= _let_2 (tptp.k4_subset_1 _let_1 B C))))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_struct_0 A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k2_pre_topc A))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 _let_2)) (=> (and (= _let_1 (tptp.k4_subset_1 _let_2 B C)) (tptp.r1_xboole_0 B C)) (= C (tptp.k6_subset_1 _let_2 _let_1 B))))))))))) true (forall ((A $$unsorted)) (=> (tptp.l1_struct_0 A) (= (tptp.k2_pre_topc A) (tptp.k3_subset_1 (tptp.u1_struct_0 A) (tptp.k1_pre_topc A))))) true (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (tptp.v3_pre_topc B A) (tptp.r2_hidden B (tptp.u1_pre_topc A))))))) (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 _let_1)) (= (tptp.v4_pre_topc B A) (tptp.v3_pre_topc (tptp.k6_subset_1 _let_1 (tptp.k2_pre_topc A) B) A))))))) true (forall ((A $$unsorted)) (=> (tptp.l1_struct_0 A) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 _let_1))) (= (tptp.r1_pre_topc A B) (= (tptp.k2_pre_topc A) (tptp.k5_setfam_1 _let_1 B)))))))) (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (forall ((B $$unsorted)) (=> (tptp.l1_pre_topc B) (= (tptp.m1_pre_topc B A) (and (tptp.r1_tarski (tptp.k2_pre_topc B) (tptp.k2_pre_topc A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B))) (= (tptp.r2_hidden C (tptp.u1_pre_topc B)) (exists ((D $$unsorted)) (and (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (tptp.r2_hidden D (tptp.u1_pre_topc A)) (= C (tptp.k3_xboole_0 D (tptp.k2_pre_topc B)))))))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (=> (and (tptp.v1_pre_topc C) (tptp.m1_pre_topc C A)) (= (= C (tptp.k3_pre_topc A B)) (= (tptp.k2_pre_topc C) B)))))))) true (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (forall ((B $$unsorted)) (=> (tptp.l1_pre_topc B) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.m2_relset_1 C _let_2 _let_1)) (= (tptp.v5_pre_topc C A B) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B))) (=> (tptp.v4_pre_topc D B) (tptp.v4_pre_topc (tptp.k5_pre_topc A B C D) A))))))))))))) true true true true true true true true true true true (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (forall ((B $$unsorted)) (=> (tptp.m1_pre_topc B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B))) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))))))))) true (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (not (and (not (= B (tptp.k1_pre_topc A))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (not (tptp.r2_hidden C B)))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (tptp.v4_pre_topc (tptp.k2_pre_topc A) A))) (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (forall ((B $$unsorted)) (=> (tptp.m1_pre_topc B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B))) (= (tptp.v4_pre_topc C B) (exists ((D $$unsorted)) (and (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (tptp.v4_pre_topc D A) (= (tptp.k3_xboole_0 D (tptp.k2_pre_topc B)) C)))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 _let_1))) (=> (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (tptp.r2_hidden C B) (tptp.v4_pre_topc C A)))) (tptp.v4_pre_topc (tptp.k6_setfam_1 _let_1 B) A))))))) (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (= C (tptp.k6_pre_topc A B)) (forall ((D $$unsorted)) (=> (tptp.r2_hidden D (tptp.u1_struct_0 A)) (= (tptp.r2_hidden D C) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (not (and (tptp.v3_pre_topc E A) (tptp.r2_hidden D E) (tptp.r1_xboole_0 B E))))))))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (=> (tptp.r2_hidden C (tptp.u1_struct_0 A)) (= (tptp.r2_hidden C (tptp.k6_pre_topc A B)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (and (tptp.v4_pre_topc D A) (tptp.r1_tarski B D)) (tptp.r2_hidden C D))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (exists ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (and (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 _let_1))) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (tptp.r2_hidden D C) (and (tptp.v4_pre_topc D A) (tptp.r1_tarski B D))))) (= (tptp.k6_pre_topc A B) (tptp.k6_setfam_1 _let_1 C))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (forall ((B $$unsorted)) (=> (tptp.m1_pre_topc B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B))) (=> (= C D) (= (tptp.k6_pre_topc B D) (tptp.k3_xboole_0 (tptp.k6_pre_topc A C) (tptp.k2_pre_topc B)))))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (tptp.r1_tarski B (tptp.k6_pre_topc A B)))))) (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (tptp.r1_tarski B C) (tptp.r1_tarski (tptp.k6_pre_topc A B) (tptp.k6_pre_topc A C))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 _let_1)) (= (tptp.k6_pre_topc A (tptp.k4_subset_1 _let_1 B C)) (tptp.k4_subset_1 _let_1 (tptp.k6_pre_topc A B) (tptp.k6_pre_topc A C)))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 _let_1)) (tptp.r1_tarski (tptp.k6_pre_topc A (tptp.k5_subset_1 _let_1 B C)) (tptp.k5_subset_1 _let_1 (tptp.k6_pre_topc A B) (tptp.k6_pre_topc A C)))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (forall ((B $$unsorted)) (let ((_let_1 (tptp.v4_pre_topc B A))) (let ((_let_2 (= (tptp.k6_pre_topc A B) B))) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (and (=> _let_1 _let_2) (=> (and (tptp.v2_pre_topc A) _let_2) _let_1)))))))) (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (forall ((B $$unsorted)) (let ((_let_1 (tptp.v3_pre_topc B A))) (let ((_let_2 (tptp.u1_struct_0 A))) (let ((_let_3 (tptp.k6_subset_1 _let_2 (tptp.k2_pre_topc A) B))) (let ((_let_4 (= (tptp.k6_pre_topc A _let_3) _let_3))) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 _let_2)) (and (=> _let_1 _let_4) (=> (and (tptp.v2_pre_topc A) _let_4) _let_1)))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (tptp.r2_hidden C (tptp.k6_pre_topc A B)) (and (not (tptp.v3_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (not (and (tptp.v3_pre_topc D A) (tptp.r2_hidden C D) (tptp.r1_xboole_0 B D))))))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (forall ((B $$unsorted)) (=> (tptp.m1_pre_topc B A) (tptp.l1_pre_topc B))))) (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (exists ((B $$unsorted)) (tptp.m1_pre_topc B A)))) _let_12 (exists ((A $$unsorted)) (tptp.l1_pre_topc A)) (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (=> (tptp.v1_pre_topc A) (= A (tptp.g1_pre_topc (tptp.u1_struct_0 A) (tptp.u1_pre_topc A)))))) (forall ((A $$unsorted)) (=> (tptp.l1_struct_0 A) (tptp.m1_subset_1 (tptp.k1_pre_topc A) (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))))) (forall ((A $$unsorted)) (=> (tptp.l1_struct_0 A) (tptp.m1_subset_1 (tptp.k2_pre_topc A) (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k3_pre_topc A B))) (=> (and (tptp.l1_pre_topc A) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (and (tptp.v1_pre_topc _let_1) (tptp.m1_pre_topc _let_1 A))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (tptp.l1_struct_0 A) (tptp.l1_struct_0 B) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.m1_relset_1 C _let_2 _let_1)) (tptp.m1_subset_1 (tptp.k4_pre_topc A B C D) (tptp.k1_zfmisc_1 _let_1)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (tptp.l1_struct_0 A) (tptp.l1_struct_0 B) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.m1_relset_1 C _let_2 _let_1)) (= (tptp.k4_pre_topc A B C D) (tptp.k9_relat_1 C D)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.u1_struct_0 B))) (=> (and (tptp.l1_struct_0 A) (tptp.l1_struct_0 B) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_1 _let_2) (tptp.m1_relset_1 C _let_1 _let_2)) (tptp.m1_subset_1 (tptp.k5_pre_topc A B C D) (tptp.k1_zfmisc_1 _let_1)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (tptp.l1_struct_0 A) (tptp.l1_struct_0 B) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.m1_relset_1 C _let_2 _let_1)) (= (tptp.k5_pre_topc A B C D) (tptp.k10_relat_1 C D)))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (=> (and (tptp.l1_pre_topc A) (tptp.m1_subset_1 B _let_1)) (tptp.m1_subset_1 (tptp.k6_pre_topc A B) _let_1)))) (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (tptp.m1_subset_1 (tptp.u1_pre_topc A) (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.g1_pre_topc A B))) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 A))) (and (tptp.v1_pre_topc _let_1) (tptp.l1_pre_topc _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 A))) (forall ((C $$unsorted) (D $$unsorted)) (=> (= (tptp.g1_pre_topc A B) (tptp.g1_pre_topc C D)) (and (= A C) (= B D)))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k1_pre_topc A))) (=> (and (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (and (tptp.v1_xboole_0 _let_1) (tptp.v4_pre_topc _let_1 A) (tptp.v1_membered _let_1) (tptp.v2_membered _let_1) (tptp.v3_membered _let_1) (tptp.v4_membered _let_1) (tptp.v5_membered _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.l1_pre_topc A) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (tptp.v4_pre_topc (tptp.k6_pre_topc A B) A))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (tptp.v2_pre_topc A) (tptp.l1_pre_topc A) (tptp.v4_pre_topc B A) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 _let_1))) (tptp.v3_pre_topc (tptp.k3_subset_1 _let_1 B) A)))) (forall ((A $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (exists ((B $$unsorted)) (and (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (tptp.v3_pre_topc B A))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (tptp.v2_pre_topc A) (tptp.l1_pre_topc A) (tptp.v3_pre_topc B A) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 _let_1))) (tptp.v4_pre_topc (tptp.k3_subset_1 _let_1 B) A)))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k1_tops_1 A (tptp.k1_pre_topc A)))) (=> (tptp.l1_pre_topc A) (and (tptp.v1_xboole_0 _let_1) (tptp.v1_membered _let_1) (tptp.v2_membered _let_1) (tptp.v3_membered _let_1) (tptp.v4_membered _let_1) (tptp.v5_membered _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.l1_pre_topc A) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (tptp.v3_pre_topc (tptp.k1_tops_1 A B) A))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k1_pre_topc A))) (=> (and (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (and (tptp.v1_xboole_0 _let_1) (tptp.v3_pre_topc _let_1 A) (tptp.v4_pre_topc _let_1 A) (tptp.v1_membered _let_1) (tptp.v2_membered _let_1) (tptp.v3_membered _let_1) (tptp.v4_membered _let_1) (tptp.v5_membered _let_1))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k2_pre_topc A))) (=> (and (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (and (tptp.v3_pre_topc _let_1 A) (tptp.v4_pre_topc _let_1 A))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (tptp.v1_xboole_0 B) (and (tptp.v3_pre_topc B A) (tptp.v4_pre_topc B A))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (exists ((B $$unsorted)) (and (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (tptp.v3_pre_topc B A) (tptp.v4_pre_topc B A))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (exists ((B $$unsorted)) (and (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (not (tptp.v1_xboole_0 B)) (tptp.v3_pre_topc B A) (tptp.v4_pre_topc B A))))) (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (tptp.v1_tops_1 (tptp.k2_pre_topc A) A))) (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (tptp.v1_xboole_0 B) (tptp.v2_tops_1 B A)))))) (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (exists ((B $$unsorted)) (and (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (tptp.v1_xboole_0 B) (tptp.v1_membered B) (tptp.v2_membered B) (tptp.v3_membered B) (tptp.v4_membered B) (tptp.v5_membered B) (tptp.v2_tops_1 B A))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k1_tops_1 A B))) (=> (and (tptp.l1_pre_topc A) (tptp.v2_tops_1 B A) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (and (tptp.v1_xboole_0 _let_1) (tptp.v1_membered _let_1) (tptp.v2_membered _let_1) (tptp.v3_membered _let_1) (tptp.v4_membered _let_1) (tptp.v5_membered _let_1) (tptp.v2_tops_1 _let_1 A))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (tptp.v1_xboole_0 B) (tptp.v3_tops_1 B A)))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (exists ((B $$unsorted)) (and (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (tptp.v1_xboole_0 B) (tptp.v3_pre_topc B A) (tptp.v4_pre_topc B A) (tptp.v1_membered B) (tptp.v2_membered B) (tptp.v3_membered B) (tptp.v4_membered B) (tptp.v5_membered B) (tptp.v2_tops_1 B A) (tptp.v3_tops_1 B A))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (tptp.v2_pre_topc A) (tptp.l1_pre_topc A) (tptp.v3_tops_1 B A) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 _let_1))) (tptp.v1_tops_1 (tptp.k3_subset_1 _let_1 B) A)))) (forall ((A $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (tptp.v3_tops_1 B A) (tptp.v2_tops_1 B A)))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.v2_tops_1 B A))) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (and (tptp.v4_pre_topc B A) _let_1) (and _let_1 (tptp.v3_tops_1 B A)))))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k2_tops_1 A B))) (=> (and (tptp.v2_pre_topc A) (tptp.l1_pre_topc A) (tptp.v3_pre_topc B A) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (and (tptp.v2_tops_1 _let_1 A) (tptp.v3_tops_1 _let_1 A))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k2_tops_1 A B))) (=> (and (tptp.v2_pre_topc A) (tptp.l1_pre_topc A) (tptp.v4_pre_topc B A) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (and (tptp.v2_tops_1 _let_1 A) (tptp.v3_tops_1 _let_1 A))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.v3_tops_1 B A))) (let ((_let_2 (tptp.v3_pre_topc B A))) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (and _let_2 _let_1) (and (tptp.v1_xboole_0 B) _let_2 (tptp.v4_pre_topc B A) (tptp.v1_membered B) (tptp.v2_membered B) (tptp.v3_membered B) (tptp.v4_membered B) (tptp.v5_membered B) (tptp.v2_tops_1 B A) _let_1)))))))) true (forall ((A $$unsorted)) (=> (tptp.l1_struct_0 A) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k2_pre_topc A))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 _let_2)) (= (tptp.k4_subset_1 _let_2 B _let_1) _let_1))))))) true true true true true (forall ((A $$unsorted)) (=> (tptp.l1_struct_0 A) (= (tptp.k3_subset_1 (tptp.u1_struct_0 A) (tptp.k2_pre_topc A)) (tptp.k1_pre_topc A)))) true true true true true true true true true true true (forall ((A $$unsorted)) (=> (tptp.l1_struct_0 A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 _let_1)) (= (tptp.r1_tarski B C) (tptp.r1_xboole_0 B (tptp.k3_subset_1 _let_1 C)))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_struct_0 A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 _let_1)) (=> (= (tptp.k3_subset_1 _let_1 B) (tptp.k3_subset_1 _let_1 C)) (= B C))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (tptp.v4_pre_topc (tptp.k1_pre_topc A) A))) true true true (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k6_pre_topc A B))) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (tptp.k6_pre_topc A _let_1) _let_1)))))) _let_11 true (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 _let_1)) (= (tptp.v4_pre_topc B A) (tptp.v3_pre_topc (tptp.k3_subset_1 _let_1 B) A))))))) (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 _let_1)) (= (tptp.v3_pre_topc B A) (tptp.v4_pre_topc (tptp.k3_subset_1 _let_1 B) A))))))) (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (and (tptp.v4_pre_topc B A) (tptp.r1_tarski C B)) (tptp.r1_tarski (tptp.k6_pre_topc A C) B)))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 _let_1)) (tptp.r1_tarski (tptp.k6_subset_1 _let_1 (tptp.k6_pre_topc A B) (tptp.k6_pre_topc A C)) (tptp.k6_pre_topc A (tptp.k6_subset_1 _let_1 B C)))))))))) true (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 _let_1)) (=> (and (tptp.v4_pre_topc B A) (tptp.v4_pre_topc C A)) (= (tptp.k6_pre_topc A (tptp.k5_subset_1 _let_1 B C)) (tptp.k5_subset_1 _let_1 (tptp.k6_pre_topc A B) (tptp.k6_pre_topc A C))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 _let_1)) (=> (and (tptp.v4_pre_topc B A) (tptp.v4_pre_topc C A)) (tptp.v4_pre_topc (tptp.k5_subset_1 _let_1 B C) A))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 _let_1)) (=> (and (tptp.v4_pre_topc B A) (tptp.v4_pre_topc C A)) (tptp.v4_pre_topc (tptp.k4_subset_1 _let_1 B C) A))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 _let_1)) (=> (and (tptp.v3_pre_topc B A) (tptp.v3_pre_topc C A)) (tptp.v3_pre_topc (tptp.k4_subset_1 _let_1 B C) A))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 _let_1)) (=> (and (tptp.v3_pre_topc B A) (tptp.v3_pre_topc C A)) (tptp.v3_pre_topc (tptp.k5_subset_1 _let_1 B C) A))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (tptp.r2_hidden C (tptp.k6_pre_topc A B)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (not (and (tptp.v3_pre_topc D A) (tptp.r2_hidden C D) (tptp.r1_xboole_0 B D)))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 _let_1)) (=> (tptp.v3_pre_topc B A) (tptp.r1_tarski (tptp.k5_subset_1 _let_1 B (tptp.k6_pre_topc A C)) (tptp.k6_pre_topc A (tptp.k5_subset_1 _let_1 B C))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 _let_1)) (=> (tptp.v3_pre_topc B A) (= (tptp.k6_pre_topc A (tptp.k5_subset_1 _let_1 B (tptp.k6_pre_topc A C))) (tptp.k6_pre_topc A (tptp.k5_subset_1 _let_1 B C))))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 _let_1)) (= (tptp.k1_tops_1 A B) (tptp.k3_subset_1 _let_1 (tptp.k6_pre_topc A (tptp.k3_subset_1 _let_1 B))))))))) true (forall ((A $$unsorted)) (let ((_let_1 (tptp.k2_pre_topc A))) (=> (and (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (= (tptp.k1_tops_1 A _let_1) _let_1)))) (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (tptp.r1_tarski (tptp.k1_tops_1 A B) B))))) (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k1_tops_1 A B))) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (tptp.k1_tops_1 A _let_1) _let_1)))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 _let_1)) (= (tptp.k5_subset_1 _let_1 (tptp.k1_tops_1 A B) (tptp.k1_tops_1 A C)) (tptp.k1_tops_1 A (tptp.k5_subset_1 _let_1 B C)))))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k1_pre_topc A))) (=> (tptp.l1_pre_topc A) (= (tptp.k1_tops_1 A _let_1) _let_1)))) (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (tptp.r1_tarski B C) (tptp.r1_tarski (tptp.k1_tops_1 A B) (tptp.k1_tops_1 A C))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 _let_1)) (tptp.r1_tarski (tptp.k4_subset_1 _let_1 (tptp.k1_tops_1 A B) (tptp.k1_tops_1 A C)) (tptp.k1_tops_1 A (tptp.k4_subset_1 _let_1 B C)))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 _let_1)) (tptp.r1_tarski (tptp.k1_tops_1 A (tptp.k6_subset_1 _let_1 B C)) (tptp.k6_subset_1 _let_1 (tptp.k1_tops_1 A B) (tptp.k1_tops_1 A C)))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (tptp.v3_pre_topc (tptp.k1_tops_1 A B) A))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (tptp.v3_pre_topc (tptp.k1_pre_topc A) A))) (forall ((A $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (tptp.v3_pre_topc (tptp.k2_pre_topc A) A))) (forall ((A $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted) (C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (tptp.r2_hidden B (tptp.k1_tops_1 A C)) (exists ((D $$unsorted)) (and (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (tptp.v3_pre_topc D A) (tptp.r1_tarski D C) (tptp.r2_hidden B D)))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.l1_pre_topc B) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B))) (and (=> (tptp.v3_pre_topc D B) (= (tptp.k1_tops_1 B D) D)) (=> (= (tptp.k1_tops_1 A C) C) (tptp.v3_pre_topc C A))))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (and (tptp.v3_pre_topc B A) (tptp.r1_tarski B C)) (tptp.r1_tarski B (tptp.k1_tops_1 A C))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (tptp.v3_pre_topc B A) (forall ((C $$unsorted)) (= (tptp.r2_hidden C B) (exists ((D $$unsorted)) (and (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (tptp.v3_pre_topc D A) (tptp.r1_tarski D B) (tptp.r2_hidden C D)))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k6_pre_topc A (tptp.k1_tops_1 A B)))) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= _let_1 (tptp.k6_pre_topc A (tptp.k1_tops_1 A _let_1)))))))) (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k6_pre_topc A B))) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (tptp.v3_pre_topc B A) (= (tptp.k6_pre_topc A (tptp.k1_tops_1 A _let_1)) _let_1))))))) (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 _let_1)) (= (tptp.k2_tops_1 A B) (tptp.k5_subset_1 _let_1 (tptp.k6_pre_topc A B) (tptp.k6_pre_topc A (tptp.k3_subset_1 _let_1 B))))))))) true (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (tptp.r2_hidden C (tptp.k2_tops_1 A B)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 _let_1)) (=> (and (tptp.v3_pre_topc D A) (tptp.r2_hidden C D)) (and (not (tptp.r1_xboole_0 B D)) (not (tptp.r1_xboole_0 (tptp.k3_subset_1 _let_1 B) D)))))))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 _let_1)) (= (tptp.k2_tops_1 A B) (tptp.k2_tops_1 A (tptp.k3_subset_1 _let_1 B)))))))) (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (tptp.r1_tarski (tptp.k2_tops_1 A B) (tptp.k6_pre_topc A B)))))) (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 _let_1)) (= (tptp.k2_tops_1 A B) (tptp.k4_subset_1 _let_1 (tptp.k5_subset_1 _let_1 (tptp.k6_pre_topc A (tptp.k3_subset_1 _let_1 B)) B) (tptp.k6_subset_1 _let_1 (tptp.k6_pre_topc A B) B)))))))) (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 _let_1)) (= (tptp.k6_pre_topc A B) (tptp.k4_subset_1 _let_1 B (tptp.k2_tops_1 A B)))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 _let_1)) (tptp.r1_tarski (tptp.k2_tops_1 A (tptp.k5_subset_1 _let_1 B C)) (tptp.k4_subset_1 _let_1 (tptp.k2_tops_1 A B) (tptp.k2_tops_1 A C)))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 _let_1)) (tptp.r1_tarski (tptp.k2_tops_1 A (tptp.k4_subset_1 _let_1 B C)) (tptp.k4_subset_1 _let_1 (tptp.k2_tops_1 A B) (tptp.k2_tops_1 A C)))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k2_tops_1 A B))) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (tptp.r1_tarski (tptp.k2_tops_1 A _let_1) _let_1)))))) (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (tptp.v4_pre_topc B A) (tptp.r1_tarski (tptp.k2_tops_1 A B) B)))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k2_tops_1 A C))) (let ((_let_2 (tptp.k2_tops_1 A B))) (let ((_let_3 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 _let_3)) (= (tptp.k4_subset_1 _let_3 _let_2 _let_1) (tptp.k4_subset_1 _let_3 (tptp.k4_subset_1 _let_3 (tptp.k2_tops_1 A (tptp.k4_subset_1 _let_3 B C)) (tptp.k2_tops_1 A (tptp.k5_subset_1 _let_3 B C))) (tptp.k5_subset_1 _let_3 _let_2 _let_1)))))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (tptp.r1_tarski (tptp.k2_tops_1 A (tptp.k1_tops_1 A B)) (tptp.k2_tops_1 A B)))))) (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (tptp.r1_tarski (tptp.k2_tops_1 A (tptp.k6_pre_topc A B)) (tptp.k2_tops_1 A B)))))) (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (tptp.r1_xboole_0 (tptp.k1_tops_1 A B) (tptp.k2_tops_1 A B)))))) (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 _let_1)) (= (tptp.k1_tops_1 A B) (tptp.k6_subset_1 _let_1 B (tptp.k2_tops_1 A B)))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k2_tops_1 A (tptp.k2_tops_1 A B)))) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (tptp.k2_tops_1 A _let_1) _let_1)))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 _let_1)) (= (tptp.v3_pre_topc B A) (= (tptp.k2_tops_1 A B) (tptp.k6_subset_1 _let_1 (tptp.k6_pre_topc A B) B)))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 _let_1)) (= (tptp.v4_pre_topc B A) (= (tptp.k2_tops_1 A B) (tptp.k6_subset_1 _let_1 B (tptp.k1_tops_1 A B))))))))) _let_10 true (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_tops_1 B A) (tptp.r1_tarski B C)) (tptp.v1_tops_1 C A)))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (tptp.v1_tops_1 B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (not (and (not (= C tptp.k1_xboole_0)) (tptp.v3_pre_topc C A) (tptp.r1_xboole_0 B C)))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (tptp.v1_tops_1 B A) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 _let_1)) (=> (tptp.v3_pre_topc C A) (= (tptp.k6_pre_topc A C) (tptp.k6_pre_topc A (tptp.k5_subset_1 _let_1 C B)))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 _let_1)) (=> (and (tptp.v1_tops_1 B A) (tptp.v1_tops_1 C A) (tptp.v3_pre_topc C A)) (tptp.v1_tops_1 (tptp.k5_subset_1 _let_1 B C) A))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 _let_1)) (= (tptp.v2_tops_1 B A) (tptp.v1_tops_1 (tptp.k3_subset_1 _let_1 B) A))))))) true (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (tptp.v2_tops_1 B A) (= (tptp.k1_tops_1 A B) tptp.k1_xboole_0)))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 _let_1)) (=> (and (tptp.v2_tops_1 B A) (tptp.v2_tops_1 C A) (tptp.v4_pre_topc C A)) (tptp.v2_tops_1 (tptp.k4_subset_1 _let_1 B C) A))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (tptp.v2_tops_1 B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (and (tptp.r1_tarski C B) (tptp.v3_pre_topc C A)) (= C tptp.k1_xboole_0))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (tptp.v4_pre_topc B A) (= (tptp.v2_tops_1 B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (not (and (not (= C tptp.k1_xboole_0)) (tptp.v3_pre_topc C A) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (not (and (tptp.r1_tarski D C) (not (= D tptp.k1_xboole_0)) (tptp.v3_pre_topc D A) (tptp.r1_xboole_0 B D))))))))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (tptp.v2_tops_1 B A) (tptp.r1_tarski B (tptp.k2_tops_1 A B))))))) (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (tptp.v3_tops_1 B A) (tptp.v2_tops_1 (tptp.k6_pre_topc A B) A)))))) true (forall ((A $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 _let_1)) (=> (and (tptp.v3_tops_1 B A) (tptp.v3_tops_1 C A)) (tptp.v3_tops_1 (tptp.k4_subset_1 _let_1 B C) A))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 _let_1)) (=> (tptp.v3_tops_1 B A) (tptp.v1_tops_1 (tptp.k3_subset_1 _let_1 B) A))))))) (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (tptp.v3_tops_1 B A) (tptp.v2_tops_1 B A)))))) (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (and (tptp.v2_tops_1 B A) (tptp.v4_pre_topc B A)) (tptp.v3_tops_1 B A)))))) (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (tptp.v4_pre_topc B A) (= (tptp.v3_tops_1 B A) (= B (tptp.k2_tops_1 A B)))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (tptp.v3_pre_topc B A) (tptp.v3_tops_1 (tptp.k2_tops_1 A B) A)))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (tptp.v4_pre_topc B A) (tptp.v3_tops_1 (tptp.k2_tops_1 A B) A)))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (and (tptp.v3_pre_topc B A) (tptp.v3_tops_1 B A)) (= B tptp.k1_xboole_0)))))) (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (tptp.v4_tops_1 B A) (and (tptp.r1_tarski (tptp.k1_tops_1 A (tptp.k6_pre_topc A B)) B) (tptp.r1_tarski B (tptp.k6_pre_topc A (tptp.k1_tops_1 A B))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (tptp.v5_tops_1 B A) (= B (tptp.k6_pre_topc A (tptp.k1_tops_1 A B)))))))) (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (tptp.v6_tops_1 B A) (= B (tptp.k1_tops_1 A (tptp.k6_pre_topc A B)))))))) true true true (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 _let_1)) (= (tptp.v6_tops_1 B A) (tptp.v5_tops_1 (tptp.k3_subset_1 _let_1 B) A))))))) (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (tptp.v5_tops_1 B A) (= (tptp.k2_tops_1 A (tptp.k1_tops_1 A B)) (tptp.k2_tops_1 A B))))))) (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (tptp.v5_tops_1 B A) (tptp.r1_tarski (tptp.k2_tops_1 A B) (tptp.k6_pre_topc A (tptp.k1_tops_1 A B)))))))) (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k6_pre_topc A B))) (let ((_let_2 (tptp.u1_struct_0 A))) (let ((_let_3 (tptp.k2_tops_1 A _let_1))) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 _let_2)) (=> (tptp.v6_tops_1 B A) (and (= (tptp.k2_tops_1 A B) _let_3) (= _let_3 (tptp.k6_subset_1 _let_2 _let_1 B))))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (and (tptp.v3_pre_topc B A) (tptp.v4_pre_topc B A)) (= (tptp.v5_tops_1 B A) (tptp.v6_tops_1 B A))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.l1_pre_topc B) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B))) (and (=> (and (tptp.v4_pre_topc D B) (tptp.v4_tops_1 D B)) (tptp.v5_tops_1 D B)) (=> (tptp.v5_tops_1 C A) (and (tptp.v4_pre_topc C A) (tptp.v4_tops_1 C A)))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.l1_pre_topc B) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B))) (and (=> (and (tptp.v3_pre_topc D B) (tptp.v4_tops_1 D B)) (tptp.v6_tops_1 D B)) (=> (tptp.v6_tops_1 C A) (and (tptp.v3_pre_topc C A) (tptp.v4_tops_1 C A)))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 _let_1)) (=> (and (tptp.v5_tops_1 B A) (tptp.v5_tops_1 C A)) (tptp.v5_tops_1 (tptp.k4_subset_1 _let_1 B C) A))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 _let_1)) (=> (and (tptp.v6_tops_1 B A) (tptp.v6_tops_1 C A)) (tptp.v6_tops_1 (tptp.k5_subset_1 _let_1 B C) A))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (tptp.v4_tops_1 B A) (= (tptp.k1_tops_1 A (tptp.k2_tops_1 A B)) tptp.k1_xboole_0)))))) (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (tptp.v4_tops_1 B A) (and (tptp.v4_tops_1 (tptp.k1_tops_1 A B) A) (tptp.v4_tops_1 (tptp.k6_pre_topc A B) A))))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (=> (and (tptp.l1_pre_topc A) (tptp.m1_subset_1 B _let_1)) (tptp.m1_subset_1 (tptp.k1_tops_1 A B) _let_1)))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (=> (and (tptp.l1_pre_topc A) (tptp.m1_subset_1 B _let_1)) (tptp.m1_subset_1 (tptp.k2_tops_1 A B) _let_1)))) (forall ((A $$unsorted)) (=> (tptp.l1_struct_0 A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (tptp.r1_tarski B (tptp.k1_zfmisc_1 (tptp.k2_pre_topc A))))))) true (forall ((A $$unsorted)) (=> (tptp.l1_struct_0 A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (forall ((C $$unsorted)) (=> (tptp.r1_tarski C B) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))))))))) true (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_struct_0 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (not (and (tptp.r1_pre_topc A B) (= B tptp.k1_xboole_0))))))) (forall ((A $$unsorted)) (=> (tptp.l1_struct_0 A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.k1_zfmisc_1 _let_1))) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 _let_2)) (tptp.r1_tarski (tptp.k6_subset_1 _let_1 (tptp.k5_setfam_1 _let_1 B) (tptp.k5_setfam_1 _let_1 C)) (tptp.k5_setfam_1 _let_1 (tptp.k6_subset_1 _let_2 B C))))))))))) true true true (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (= B tptp.k1_xboole_0))) (let ((_let_2 (= (tptp.k7_setfam_1 A B) tptp.k1_xboole_0))) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 A))) (and (not (and (not _let_1) _let_2)) (not (and (not _let_2) _let_1))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 A))) (=> (not (= B tptp.k1_xboole_0)) (= (tptp.k6_setfam_1 A (tptp.k7_setfam_1 A B)) (tptp.k3_subset_1 A (tptp.k5_setfam_1 A B)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 A))) (=> (not (= B tptp.k1_xboole_0)) (= (tptp.k5_setfam_1 A (tptp.k7_setfam_1 A B)) (tptp.k3_subset_1 A (tptp.k6_setfam_1 A B)))))) (forall ((A $$unsorted)) (=> (tptp.l1_struct_0 A) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 _let_1))) (= (tptp.v1_finset_1 (tptp.k7_setfam_1 _let_1 B)) (tptp.v1_finset_1 B))))))) (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (= (tptp.v1_tops_2 B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (tptp.r2_hidden C B) (tptp.v3_pre_topc C A))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (= (tptp.v2_tops_2 B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (tptp.r2_hidden C B) (tptp.v4_pre_topc C A))))))))) true true (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 _let_1))) (= (tptp.v2_tops_2 B A) (tptp.v1_tops_2 (tptp.k7_setfam_1 _let_1 B) A))))))) (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 _let_1))) (= (tptp.v1_tops_2 B A) (tptp.v2_tops_2 (tptp.k7_setfam_1 _let_1 B) A))))))) (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (=> (and (tptp.r1_tarski B C) (tptp.v1_tops_2 C A)) (tptp.v1_tops_2 B A)))))))) (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (=> (and (tptp.r1_tarski B C) (tptp.v2_tops_2 C A)) (tptp.v2_tops_2 B A)))))))) (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 _let_1)) (=> (and (tptp.v1_tops_2 B A) (tptp.v1_tops_2 C A)) (tptp.v1_tops_2 (tptp.k4_subset_1 _let_1 B C) A))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 _let_1)) (=> (tptp.v1_tops_2 B A) (tptp.v1_tops_2 (tptp.k5_subset_1 _let_1 B C) A))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 _let_1)) (=> (tptp.v1_tops_2 B A) (tptp.v1_tops_2 (tptp.k6_subset_1 _let_1 B C) A))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 _let_1)) (=> (and (tptp.v2_tops_2 B A) (tptp.v2_tops_2 C A)) (tptp.v2_tops_2 (tptp.k4_subset_1 _let_1 B C) A))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 _let_1)) (=> (tptp.v2_tops_2 B A) (tptp.v2_tops_2 (tptp.k5_subset_1 _let_1 B C) A))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 _let_1)) (=> (tptp.v2_tops_2 B A) (tptp.v2_tops_2 (tptp.k6_subset_1 _let_1 B C) A))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 _let_1))) (=> (tptp.v1_tops_2 B A) (tptp.v3_pre_topc (tptp.k5_setfam_1 _let_1 B) A))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 _let_1))) (=> (and (tptp.v1_tops_2 B A) (tptp.v1_finset_1 B)) (tptp.v3_pre_topc (tptp.k6_setfam_1 _let_1 B) A))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 _let_1))) (=> (and (tptp.v2_tops_2 B A) (tptp.v1_finset_1 B)) (tptp.v4_pre_topc (tptp.k5_setfam_1 _let_1 B) A))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 _let_1))) (=> (tptp.v2_tops_2 B A) (tptp.v4_pre_topc (tptp.k6_setfam_1 _let_1 B) A))))))) true (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (forall ((B $$unsorted)) (=> (tptp.m1_pre_topc B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B)))) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (forall ((B $$unsorted)) (=> (tptp.m1_pre_topc B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B))) (= (tptp.v3_pre_topc C B) (exists ((D $$unsorted)) (and (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (tptp.v3_pre_topc D A) (= (tptp.k3_xboole_0 D (tptp.k2_pre_topc B)) C)))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (=> (tptp.m1_pre_topc C A) (=> (tptp.v3_pre_topc B A) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 C))) (=> (= D B) (tptp.v3_pre_topc D C))))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (=> (tptp.m1_pre_topc C A) (=> (tptp.v4_pre_topc B A) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 C))) (=> (= D B) (tptp.v4_pre_topc D C))))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (forall ((C $$unsorted)) (=> (tptp.m1_pre_topc C A) (=> (tptp.v1_tops_2 B A) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 C)))) (=> (= D B) (tptp.v1_tops_2 D C))))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (forall ((C $$unsorted)) (=> (tptp.m1_pre_topc C A) (=> (tptp.v2_tops_2 B A) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 C)))) (=> (= D B) (tptp.v2_tops_2 D C))))))))))) true (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 _let_1)) (tptp.m1_subset_1 (tptp.k5_subset_1 _let_1 B C) (tptp.k1_zfmisc_1 (tptp.u1_struct_0 (tptp.k3_pre_topc A C))))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 (tptp.k3_pre_topc A B))))) (= (= D (tptp.k1_tops_2 A B C)) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.k1_zfmisc_1 (tptp.u1_struct_0 (tptp.k3_pre_topc A B)))) (= (tptp.r2_hidden E D) (exists ((F $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (and (tptp.m1_subset_1 F (tptp.k1_zfmisc_1 _let_1)) (tptp.r2_hidden F C) (= (tptp.k5_subset_1 _let_1 F B) E)))))))))))))))) true (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (=> (tptp.r1_tarski C D) (tptp.r1_tarski (tptp.k1_tops_2 A B C) (tptp.k1_tops_2 A B D))))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 _let_1))) (=> (tptp.r2_hidden B D) (tptp.r2_hidden (tptp.k5_subset_1 _let_1 B C) (tptp.k1_tops_2 A C D)))))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 _let_1))) (=> (tptp.r1_tarski B (tptp.k5_setfam_1 _let_1 D)) (tptp.r1_tarski (tptp.k5_subset_1 _let_1 B C) (tptp.k5_setfam_1 (tptp.u1_struct_0 (tptp.k3_pre_topc A C)) (tptp.k1_tops_2 A C D))))))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 _let_1))) (=> (tptp.r1_tarski B (tptp.k5_setfam_1 _let_1 C)) (= B (tptp.k5_setfam_1 (tptp.u1_struct_0 (tptp.k3_pre_topc A B)) (tptp.k1_tops_2 A B C))))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 _let_1))) (tptp.r1_tarski (tptp.k5_setfam_1 (tptp.u1_struct_0 (tptp.k3_pre_topc A B)) (tptp.k1_tops_2 A B C)) (tptp.k5_setfam_1 _let_1 C))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 _let_1))) (=> (tptp.r1_tarski B (tptp.k5_setfam_1 (tptp.u1_struct_0 (tptp.k3_pre_topc A B)) (tptp.k1_tops_2 A B C))) (tptp.r1_tarski B (tptp.k5_setfam_1 _let_1 C)))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (=> (tptp.v1_finset_1 C) (tptp.v1_finset_1 (tptp.k1_tops_2 A B C))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (=> (tptp.v1_tops_2 C A) (tptp.v1_tops_2 (tptp.k1_tops_2 A B C) (tptp.k3_pre_topc A B))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (=> (tptp.v2_tops_2 C A) (tptp.v2_tops_2 (tptp.k1_tops_2 A B C) (tptp.k3_pre_topc A B))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (forall ((B $$unsorted)) (=> (tptp.m1_pre_topc B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B)))) (not (and (tptp.v1_tops_2 C B) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (not (and (tptp.v1_tops_2 D A) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (= E (tptp.k2_pre_topc B)) (= C (tptp.k1_tops_2 A E D))))))))))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (exists ((D $$unsorted)) (and (tptp.v1_relat_1 D) (tptp.v1_funct_1 D) (= (tptp.k1_relat_1 D) C) (= (tptp.k2_relat_1 D) (tptp.k1_tops_2 A B C)) (forall ((E $$unsorted)) (=> (tptp.r2_hidden E C) (forall ((F $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 F (tptp.k1_zfmisc_1 _let_1)) (=> (= F E) (= (tptp.k1_funct_1 D E) (tptp.k5_subset_1 _let_1 F B)))))))))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_struct_0 A) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.l1_struct_0 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.m2_relset_1 C _let_2 _let_1)) (and (= (tptp.k1_relat_1 C) (tptp.k2_pre_topc A)) (tptp.r1_tarski (tptp.k2_relat_1 C) (tptp.k2_pre_topc B))))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_struct_0 A) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.l1_struct_0 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.m2_relset_1 C _let_2 _let_1)) (= (tptp.k5_pre_topc A B C (tptp.k2_pre_topc B)) (tptp.k2_pre_topc A)))))))))) true (forall ((A $$unsorted)) (=> (tptp.l1_struct_0 A) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.l1_struct_0 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.m2_relset_1 C _let_2 _let_1)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B)))) (tptp.m1_subset_1 (tptp.k9_relat_1 (tptp.k3_funct_3 C) D) (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))))))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.l1_pre_topc B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.m2_relset_1 C _let_2 _let_1)) (= (tptp.v5_pre_topc C A B) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B))) (=> (tptp.v3_pre_topc D B) (tptp.v3_pre_topc (tptp.k5_pre_topc A B C D) A))))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (tptp.v2_pre_topc B) (tptp.l1_pre_topc B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.m2_relset_1 C _let_2 _let_1)) (= (tptp.v5_pre_topc C A B) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B))) (tptp.r1_tarski (tptp.k6_pre_topc A (tptp.k5_pre_topc A B C D)) (tptp.k5_pre_topc A B C (tptp.k6_pre_topc B D)))))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_pre_topc B) (tptp.l1_pre_topc B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.m2_relset_1 C _let_2 _let_1)) (= (tptp.v5_pre_topc C A B) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (tptp.r1_tarski (tptp.k4_pre_topc A B C (tptp.k6_pre_topc A D)) (tptp.k6_pre_topc B (tptp.k4_pre_topc A B C D)))))))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (forall ((B $$unsorted)) (=> (tptp.l1_pre_topc B) (forall ((C $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.l1_pre_topc C)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 C))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D _let_2 _let_1) (tptp.m2_relset_1 D _let_2 _let_1)) (forall ((E $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 C))) (=> (and (tptp.v1_funct_1 E) (tptp.v1_funct_2 E _let_2 _let_1) (tptp.m2_relset_1 E _let_2 _let_1)) (=> (and (tptp.v5_pre_topc D A C) (tptp.v5_pre_topc E C B)) (tptp.v5_pre_topc (tptp.k7_funct_2 (tptp.u1_struct_0 A) _let_2 _let_1 D E) A B)))))))))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.l1_pre_topc B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.m2_relset_1 C _let_2 _let_1)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B)))) (=> (and (tptp.v5_pre_topc C A B) (tptp.v1_tops_2 D B)) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (=> (= E (tptp.k9_relat_1 (tptp.k3_funct_3 C) D)) (tptp.v1_tops_2 E A))))))))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (forall ((B $$unsorted)) (=> (tptp.l1_pre_topc B) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.m2_relset_1 C _let_2 _let_1)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B)))) (=> (and (tptp.v5_pre_topc C A B) (tptp.v2_tops_2 D B)) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (=> (= E (tptp.k9_relat_1 (tptp.k3_funct_3 C) D)) (tptp.v2_tops_2 E A))))))))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_struct_0 A) (forall ((B $$unsorted)) (=> (tptp.l1_struct_0 B) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.m2_relset_1 C _let_2 _let_1)) (=> (and (= (tptp.k2_relat_1 C) (tptp.k2_pre_topc B)) (tptp.v2_funct_1 C)) (= (tptp.k2_tops_2 A B C) (tptp.k2_funct_1 C))))))))))) true (forall ((A $$unsorted)) (=> (tptp.l1_struct_0 A) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.l1_struct_0 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k2_tops_2 A B C))) (let ((_let_2 (tptp.k2_pre_topc B))) (let ((_let_3 (tptp.u1_struct_0 B))) (let ((_let_4 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_4 _let_3) (tptp.m2_relset_1 C _let_4 _let_3)) (=> (and (= (tptp.k2_relat_1 C) _let_2) (tptp.v2_funct_1 C)) (and (= (tptp.k1_relat_1 _let_1) _let_2) (= (tptp.k2_relat_1 _let_1) (tptp.k2_pre_topc A)))))))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_struct_0 A) (forall ((B $$unsorted)) (=> (tptp.l1_struct_0 B) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.m2_relset_1 C _let_2 _let_1)) (=> (and (= (tptp.k2_relat_1 C) (tptp.k2_pre_topc B)) (tptp.v2_funct_1 C)) (tptp.v2_funct_1 (tptp.k2_tops_2 A B C))))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_struct_0 A) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.l1_struct_0 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.m2_relset_1 C _let_2 _let_1)) (=> (and (= (tptp.k2_relat_1 C) (tptp.k2_pre_topc B)) (tptp.v2_funct_1 C)) (= (tptp.k2_tops_2 B A (tptp.k2_tops_2 A B C)) C)))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_struct_0 A) (forall ((B $$unsorted)) (=> (tptp.l1_struct_0 B) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k2_relat_1 C))) (let ((_let_2 (tptp.k2_tops_2 A B C))) (let ((_let_3 (tptp.u1_struct_0 B))) (let ((_let_4 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_4 _let_3) (tptp.m2_relset_1 C _let_4 _let_3)) (=> (and (= _let_1 (tptp.k2_pre_topc B)) (tptp.v2_funct_1 C)) (and (= (tptp.k5_relat_1 C _let_2) (tptp.k6_relat_1 (tptp.k1_relat_1 C))) (= (tptp.k5_relat_1 _let_2 C) (tptp.k6_relat_1 _let_1)))))))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_struct_0 A) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.l1_struct_0 B)) (forall ((C $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.l1_struct_0 C)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D _let_2 _let_1) (tptp.m2_relset_1 D _let_2 _let_1)) (forall ((E $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.u1_struct_0 B))) (let ((_let_3 (tptp.u1_struct_0 C))) (let ((_let_4 (tptp.k2_pre_topc B))) (=> (and (tptp.v1_funct_1 E) (tptp.v1_funct_2 E _let_2 _let_3) (tptp.m2_relset_1 E _let_2 _let_3)) (=> (and (= (tptp.k1_relat_1 D) (tptp.k2_pre_topc A)) (= (tptp.k2_relat_1 D) _let_4) (tptp.v2_funct_1 D) (= (tptp.k1_relat_1 E) _let_4) (= (tptp.k2_relat_1 E) (tptp.k2_pre_topc C)) (tptp.v2_funct_1 E)) (= (tptp.k2_tops_2 A C (tptp.k7_funct_2 _let_1 _let_2 _let_3 D E)) (tptp.k7_funct_2 _let_3 _let_2 _let_1 (tptp.k2_tops_2 B C E) (tptp.k2_tops_2 A B D)))))))))))))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_struct_0 A) (forall ((B $$unsorted)) (=> (tptp.l1_struct_0 B) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.m2_relset_1 C _let_2 _let_1)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (and (= (tptp.k2_relat_1 C) (tptp.k2_pre_topc B)) (tptp.v2_funct_1 C)) (= (tptp.k4_pre_topc A B C D) (tptp.k5_pre_topc B A (tptp.k2_tops_2 A B C) D))))))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_struct_0 A) (forall ((B $$unsorted)) (=> (tptp.l1_struct_0 B) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.m2_relset_1 C _let_2 _let_1)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B))) (=> (and (= (tptp.k2_relat_1 C) (tptp.k2_pre_topc B)) (tptp.v2_funct_1 C)) (= (tptp.k5_pre_topc A B C D) (tptp.k4_pre_topc B A (tptp.k2_tops_2 A B C) D))))))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (forall ((B $$unsorted)) (=> (tptp.l1_pre_topc B) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.m2_relset_1 C _let_2 _let_1)) (= (tptp.v3_tops_2 C A B) (and (= (tptp.k1_relat_1 C) (tptp.k2_pre_topc A)) (= (tptp.k2_relat_1 C) (tptp.k2_pre_topc B)) (tptp.v2_funct_1 C) (tptp.v5_pre_topc C A B) (tptp.v5_pre_topc (tptp.k2_tops_2 A B C) B A))))))))))) true (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.l1_pre_topc B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.m2_relset_1 C _let_2 _let_1)) (=> (tptp.v3_tops_2 C A B) (tptp.v3_tops_2 (tptp.k2_tops_2 A B C) B A)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.l1_pre_topc B)) (forall ((C $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.l1_pre_topc C)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D _let_2 _let_1) (tptp.m2_relset_1 D _let_2 _let_1)) (forall ((E $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 C))) (let ((_let_2 (tptp.u1_struct_0 B))) (=> (and (tptp.v1_funct_1 E) (tptp.v1_funct_2 E _let_2 _let_1) (tptp.m2_relset_1 E _let_2 _let_1)) (=> (and (tptp.v3_tops_2 D A B) (tptp.v3_tops_2 E B C)) (tptp.v3_tops_2 (tptp.k7_funct_2 (tptp.u1_struct_0 A) _let_2 _let_1 D E) A C)))))))))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.l1_pre_topc B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.m2_relset_1 C _let_2 _let_1)) (= (tptp.v3_tops_2 C A B) (and (= (tptp.k1_relat_1 C) (tptp.k2_pre_topc A)) (= (tptp.k2_relat_1 C) (tptp.k2_pre_topc B)) (tptp.v2_funct_1 C) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (tptp.v4_pre_topc D A) (tptp.v4_pre_topc (tptp.k4_pre_topc A B C D) B)))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (tptp.v2_pre_topc B) (tptp.l1_pre_topc B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.m2_relset_1 C _let_2 _let_1)) (= (tptp.v3_tops_2 C A B) (and (= (tptp.k1_relat_1 C) (tptp.k2_pre_topc A)) (= (tptp.k2_relat_1 C) (tptp.k2_pre_topc B)) (tptp.v2_funct_1 C) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B))) (= (tptp.k5_pre_topc A B C (tptp.k6_pre_topc B D)) (tptp.k6_pre_topc A (tptp.k5_pre_topc A B C D))))))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_pre_topc B) (tptp.l1_pre_topc B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.m2_relset_1 C _let_2 _let_1)) (= (tptp.v3_tops_2 C A B) (and (= (tptp.k1_relat_1 C) (tptp.k2_pre_topc A)) (= (tptp.k2_relat_1 C) (tptp.k2_pre_topc B)) (tptp.v2_funct_1 C) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (tptp.k4_pre_topc A B C (tptp.k6_pre_topc A D)) (tptp.k6_pre_topc B (tptp.k4_pre_topc A B C D))))))))))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (=> (and (tptp.l1_pre_topc A) (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 _let_1))) (tptp.m1_subset_1 (tptp.k1_tops_2 A B C) (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 (tptp.k3_pre_topc A B)))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.u1_struct_0 B))) (let ((_let_3 (tptp.k2_tops_2 A B C))) (=> (and (tptp.l1_struct_0 A) (tptp.l1_struct_0 B) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_1 _let_2) (tptp.m1_relset_1 C _let_1 _let_2)) (and (tptp.v1_funct_1 _let_3) (tptp.v1_funct_2 _let_3 _let_2 _let_1) (tptp.m2_relset_1 _let_3 _let_2 _let_1))))))) (exists ((A $$unsorted)) (and (tptp.l1_metric_1 A) (tptp.v1_metric_1 A))) (exists ((A $$unsorted)) (and (tptp.l1_metric_1 A) (not (tptp.v3_struct_0 A)) (tptp.v1_metric_1 A))) (exists ((A $$unsorted)) (and (tptp.l1_metric_1 A) (not (tptp.v3_struct_0 A)) (tptp.v1_metric_1 A) (tptp.v6_metric_1 A) (tptp.v7_metric_1 A) (tptp.v8_metric_1 A) (tptp.v9_metric_1 A))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k6_metric_1 A))) (=> (not (tptp.v1_xboole_0 A)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v1_metric_1 _let_1))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k6_metric_1 A))) (and (tptp.v1_metric_1 _let_1) (tptp.v6_metric_1 _let_1) (tptp.v7_metric_1 _let_1) (tptp.v8_metric_1 _let_1) (tptp.v9_metric_1 _let_1)))) (and _let_9 _let_5) (and _let_9 _let_5 (tptp.v6_metric_1 tptp.k8_metric_1) (tptp.v7_metric_1 tptp.k8_metric_1) (tptp.v8_metric_1 tptp.k8_metric_1) (tptp.v9_metric_1 tptp.k8_metric_1)) (forall ((A $$unsorted)) (=> (tptp.l1_metric_1 A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 C _let_1) (= (tptp.k2_metric_1 A B C) (tptp.k1_metric_1 _let_1 _let_1 (tptp.u1_metric_1 A) B C))))))))) (= tptp.k3_metric_1 (tptp.k2_funcop_1 _let_8 tptp.np__0)) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_funct_1 B) (tptp.m2_relset_1 B (tptp.k2_zfmisc_1 A A) tptp.k1_numbers)) (= (tptp.v2_metric_1 B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C A) (= (tptp.k1_metric_1 A A B C C) tptp.np__0)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_funct_1 B) (tptp.m2_relset_1 B (tptp.k2_zfmisc_1 A A) tptp.k1_numbers)) (= (tptp.v3_metric_1 B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C A) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D A) (=> (= (tptp.k1_metric_1 A A B C D) tptp.np__0) (= C D))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_funct_1 B) (tptp.m2_relset_1 B (tptp.k2_zfmisc_1 A A) tptp.k1_numbers)) (= (tptp.v4_metric_1 B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C A) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D A) (= (tptp.k1_metric_1 A A B C D) (tptp.k1_metric_1 A A B D C))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_funct_1 B) (tptp.m2_relset_1 B (tptp.k2_zfmisc_1 A A) tptp.k1_numbers)) (= (tptp.v5_metric_1 B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C A) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D A) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E A) (tptp.r1_xreal_0 (tptp.k1_metric_1 A A B C E) (tptp.k3_real_1 (tptp.k1_metric_1 A A B C D) (tptp.k1_metric_1 A A B D E)))))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_metric_1 A) (= (tptp.v6_metric_1 A) (tptp.v2_metric_1 (tptp.u1_metric_1 A) (tptp.u1_struct_0 A))))) (forall ((A $$unsorted)) (=> (tptp.l1_metric_1 A) (= (tptp.v7_metric_1 A) (tptp.v3_metric_1 (tptp.u1_metric_1 A) (tptp.u1_struct_0 A))))) (forall ((A $$unsorted)) (=> (tptp.l1_metric_1 A) (= (tptp.v8_metric_1 A) (tptp.v4_metric_1 (tptp.u1_metric_1 A) (tptp.u1_struct_0 A))))) (forall ((A $$unsorted)) (=> (tptp.l1_metric_1 A) (= (tptp.v9_metric_1 A) (tptp.v5_metric_1 (tptp.u1_metric_1 A) (tptp.u1_struct_0 A))))) (forall ((A $$unsorted)) (=> (tptp.l1_metric_1 A) (= (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (= (tptp.k2_metric_1 A B B) tptp.np__0))) (tptp.v6_metric_1 A)))) (forall ((A $$unsorted)) (=> (tptp.l1_metric_1 A) (= (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (=> (= (tptp.k2_metric_1 A B C) tptp.np__0) (= B C)))))) (tptp.v7_metric_1 A)))) (forall ((A $$unsorted)) (=> (tptp.l1_metric_1 A) (= (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (tptp.k2_metric_1 A B C) (tptp.k2_metric_1 A C B)))))) (tptp.v8_metric_1 A)))) (forall ((A $$unsorted)) (=> (tptp.l1_metric_1 A) (= (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (tptp.r1_xreal_0 (tptp.k2_metric_1 A B D) (tptp.k3_real_1 (tptp.k2_metric_1 A B C) (tptp.k2_metric_1 A C D))))))))) (tptp.v9_metric_1 A)))) (forall ((A $$unsorted)) (=> (and (tptp.v6_metric_1 A) (tptp.v8_metric_1 A) (tptp.v9_metric_1 A) (tptp.l1_metric_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (tptp.r1_xreal_0 tptp.np__0 (tptp.k4_metric_1 A B C)))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.l1_metric_1 A))) (=> _let_1 (=> (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k2_metric_1 A B C))) (let ((_let_2 (= _let_1 tptp.np__0))) (let ((_let_3 (= B C))) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (and (=> _let_2 _let_3) (=> _let_3 _let_2) (= _let_1 (tptp.k2_metric_1 A C B)) (tptp.r1_xreal_0 (tptp.k2_metric_1 A B D) (tptp.k3_real_1 _let_1 (tptp.k2_metric_1 A C D))))))))))))) (and (tptp.v6_metric_1 A) (tptp.v7_metric_1 A) (tptp.v8_metric_1 A) (tptp.v9_metric_1 A) _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_1 tptp.k1_numbers) (tptp.m2_relset_1 B _let_1 tptp.k1_numbers)) (= (= B (tptp.k5_metric_1 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C A) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D A) (and (= (tptp.k1_metric_1 A A B C C) tptp.np__0) (=> (not (= C D)) (= (tptp.k1_metric_1 A A B C D) tptp.np__1))))))))))) (forall ((A $$unsorted)) (= (tptp.k6_metric_1 A) (tptp.g1_metric_1 A (tptp.k5_metric_1 A)))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 tptp.k1_numbers tptp.k1_numbers))) (=> (and (tptp.v1_funct_1 A) (tptp.v1_funct_2 A _let_1 tptp.k1_numbers) (tptp.m2_relset_1 A _let_1 tptp.k1_numbers)) (= (= A tptp.k7_metric_1) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.k1_numbers) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C tptp.k1_numbers) (= (tptp.k1_metric_1 tptp.k1_numbers tptp.k1_numbers A B C) (tptp.k18_complex1 (tptp.k5_real_1 B C))))))))))) true true (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.k1_numbers) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.k1_numbers) (= (= (tptp.k1_metric_1 tptp.k1_numbers tptp.k1_numbers tptp.k7_metric_1 A B) tptp.np__0) (= A B)))))) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.k1_numbers) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.k1_numbers) (= (tptp.k1_metric_1 tptp.k1_numbers tptp.k1_numbers tptp.k7_metric_1 A B) (tptp.k1_metric_1 tptp.k1_numbers tptp.k1_numbers tptp.k7_metric_1 B A)))))) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.k1_numbers) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.k1_numbers) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C tptp.k1_numbers) (tptp.r1_xreal_0 (tptp.k1_metric_1 tptp.k1_numbers tptp.k1_numbers tptp.k7_metric_1 A B) (tptp.k3_real_1 (tptp.k1_metric_1 tptp.k1_numbers tptp.k1_numbers tptp.k7_metric_1 A C) (tptp.k1_metric_1 tptp.k1_numbers tptp.k1_numbers tptp.k7_metric_1 C B))))))))) (= tptp.k8_metric_1 (tptp.g1_metric_1 tptp.k1_numbers tptp.k7_metric_1)) (forall ((A $$unsorted)) (=> (tptp.v1_xreal_0 A) (forall ((B $$unsorted)) (=> (tptp.l1_metric_1 B) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 B)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 B)) (= (tptp.r2_hidden D (tptp.k9_metric_1 B C A)) (and (not (tptp.v3_struct_0 B)) (not (tptp.r1_xreal_0 A (tptp.k2_metric_1 B C D))))))))))))) (forall ((A $$unsorted)) (=> (tptp.v1_xreal_0 A) (forall ((B $$unsorted)) (=> (tptp.l1_metric_1 B) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 B)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 B)) (= (tptp.r2_hidden D (tptp.k10_metric_1 B C A)) (and (not (tptp.v3_struct_0 B)) (tptp.r1_xreal_0 (tptp.k2_metric_1 B C D) A))))))))))) (forall ((A $$unsorted)) (=> (tptp.v1_xreal_0 A) (forall ((B $$unsorted)) (=> (tptp.l1_metric_1 B) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 B)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 B)) (= (tptp.r2_hidden D (tptp.k11_metric_1 B C A)) (and (not (tptp.v3_struct_0 B)) (= (tptp.k2_metric_1 B C D) A))))))))))) (forall ((A $$unsorted)) (=> (tptp.v1_xreal_0 A) (forall ((B $$unsorted)) (=> (tptp.l1_metric_1 B) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 B)) (tptp.r1_tarski (tptp.k9_metric_1 B C A) (tptp.k10_metric_1 B C A)))))))) (forall ((A $$unsorted)) (=> (tptp.v1_xreal_0 A) (forall ((B $$unsorted)) (=> (tptp.l1_metric_1 B) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 B)) (tptp.r1_tarski (tptp.k11_metric_1 B C A) (tptp.k10_metric_1 B C A)))))))) (forall ((A $$unsorted)) (=> (tptp.v1_xreal_0 A) (forall ((B $$unsorted)) (=> (tptp.l1_metric_1 B) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (=> (tptp.m1_subset_1 C _let_1) (= (tptp.k4_subset_1 _let_1 (tptp.k11_metric_1 B C A) (tptp.k9_metric_1 B C A)) (tptp.k10_metric_1 B C A))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_metric_1 A) (tptp.l1_struct_0 A))) (exists ((A $$unsorted)) (tptp.l1_metric_1 A)) (forall ((A $$unsorted)) (=> (tptp.l1_metric_1 A) (=> (tptp.v1_metric_1 A) (= A (tptp.g1_metric_1 (tptp.u1_struct_0 A) (tptp.u1_metric_1 A)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.m1_relset_1 C (tptp.k2_zfmisc_1 A B) tptp.k1_numbers) (tptp.m1_subset_1 D A) (tptp.m1_subset_1 E B)) (tptp.m1_subset_1 (tptp.k1_metric_1 A B C D E) tptp.k1_numbers))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.m1_relset_1 C (tptp.k2_zfmisc_1 A B) tptp.k1_numbers) (tptp.m1_subset_1 D A) (tptp.m1_subset_1 E B)) (= (tptp.k1_metric_1 A B C D E) (tptp.k1_binop_1 C D E)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (tptp.l1_metric_1 A) (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (tptp.m1_subset_1 (tptp.k2_metric_1 A B C) tptp.k1_numbers)))) (and (tptp.v1_funct_1 tptp.k3_metric_1) (tptp.v1_funct_2 tptp.k3_metric_1 _let_8 tptp.k1_numbers) (tptp.m2_relset_1 tptp.k3_metric_1 _let_8 tptp.k1_numbers)) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (tptp.v8_metric_1 A) (tptp.l1_metric_1 A) (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (tptp.m1_subset_1 (tptp.k4_metric_1 A B C) tptp.k1_numbers)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (tptp.v8_metric_1 A) (tptp.l1_metric_1 A) (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (= (tptp.k4_metric_1 A B C) (tptp.k4_metric_1 A C B))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (tptp.v8_metric_1 A) (tptp.l1_metric_1 A) (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (= (tptp.k4_metric_1 A B C) (tptp.k2_metric_1 A B C))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A A))) (let ((_let_2 (tptp.k5_metric_1 A))) (and (tptp.v1_funct_1 _let_2) (tptp.v1_funct_2 _let_2 _let_1 tptp.k1_numbers) (tptp.m2_relset_1 _let_2 _let_1 tptp.k1_numbers))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k6_metric_1 A))) (and (tptp.v1_metric_1 _let_1) (tptp.l1_metric_1 _let_1)))) (and (tptp.v1_funct_1 tptp.k7_metric_1) (tptp.v1_funct_2 tptp.k7_metric_1 _let_6 tptp.k1_numbers) (tptp.m2_relset_1 tptp.k7_metric_1 _let_6 tptp.k1_numbers)) (and _let_5 (tptp.l1_metric_1 tptp.k8_metric_1)) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (tptp.l1_metric_1 A) (tptp.m1_subset_1 B _let_1) (tptp.v1_xreal_0 C)) (tptp.m1_subset_1 (tptp.k9_metric_1 A B C) (tptp.k1_zfmisc_1 _let_1))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (tptp.l1_metric_1 A) (tptp.m1_subset_1 B _let_1) (tptp.v1_xreal_0 C)) (tptp.m1_subset_1 (tptp.k10_metric_1 A B C) (tptp.k1_zfmisc_1 _let_1))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (tptp.l1_metric_1 A) (tptp.m1_subset_1 B _let_1) (tptp.v1_xreal_0 C)) (tptp.m1_subset_1 (tptp.k11_metric_1 A B C) (tptp.k1_zfmisc_1 _let_1))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.k2_zfmisc_1 _let_1 _let_1))) (let ((_let_3 (tptp.u1_metric_1 A))) (=> (tptp.l1_metric_1 A) (and (tptp.v1_funct_1 _let_3) (tptp.v1_funct_2 _let_3 _let_2 tptp.k1_numbers) (tptp.m2_relset_1 _let_3 _let_2 tptp.k1_numbers))))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.g1_metric_1 A B))) (let ((_let_2 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_2 tptp.k1_numbers) (tptp.m1_relset_1 B _let_2 tptp.k1_numbers)) (and (tptp.v1_metric_1 _let_1) (tptp.l1_metric_1 _let_1)))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_1 tptp.k1_numbers) (tptp.m1_relset_1 B _let_1 tptp.k1_numbers)) (forall ((C $$unsorted) (D $$unsorted)) (=> (= (tptp.g1_metric_1 A B) (tptp.g1_metric_1 C D)) (and (= A C) (= B D))))))) (forall ((A $$unsorted)) (=> (tptp.l1_metric_1 A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.v1_xreal_0 C) (forall ((D $$unsorted)) (let ((_let_1 (= D (tptp.k9_metric_1 A B C)))) (let ((_let_2 (tptp.v3_struct_0 A))) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (and (=> (not _let_2) (= _let_1 (exists ((E $$unsorted)) (and (not (tptp.v3_struct_0 E)) (tptp.l1_metric_1 E) (exists ((F $$unsorted)) (and (tptp.m1_subset_1 F (tptp.u1_struct_0 E)) (= E A) (= F B) (= D (tptp.a_3_0_metric_1 C E F)))))))) (=> _let_2 (= _let_1 (tptp.v1_xboole_0 D)))))))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_metric_1 A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.v1_xreal_0 C) (forall ((D $$unsorted)) (let ((_let_1 (= D (tptp.k10_metric_1 A B C)))) (let ((_let_2 (tptp.v3_struct_0 A))) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (and (=> (not _let_2) (= _let_1 (exists ((E $$unsorted)) (and (not (tptp.v3_struct_0 E)) (tptp.l1_metric_1 E) (exists ((F $$unsorted)) (and (tptp.m1_subset_1 F (tptp.u1_struct_0 E)) (= E A) (= F B) (= D (tptp.a_3_1_metric_1 C E F)))))))) (=> _let_2 (= _let_1 (tptp.v1_xboole_0 D)))))))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_metric_1 A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.v1_xreal_0 C) (forall ((D $$unsorted)) (let ((_let_1 (= D (tptp.k11_metric_1 A B C)))) (let ((_let_2 (tptp.v3_struct_0 A))) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (and (=> (not _let_2) (= _let_1 (exists ((E $$unsorted)) (and (not (tptp.v3_struct_0 E)) (tptp.l1_metric_1 E) (exists ((F $$unsorted)) (and (tptp.m1_subset_1 F (tptp.u1_struct_0 E)) (= E A) (= F B) (= D (tptp.a_3_2_metric_1 C E F)))))))) (=> _let_2 (= _let_1 (tptp.v1_xboole_0 D)))))))))))))) (forall ((A $$unsorted)) (=> (tptp.v1_xreal_0 A) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.l1_metric_1 B)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 B)) (= (tptp.k9_metric_1 B C A) (tptp.a_3_0_metric_1 A B C)))))))) (forall ((A $$unsorted)) (=> (tptp.v1_xreal_0 A) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.l1_metric_1 B)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 B)) (= (tptp.k10_metric_1 B C A) (tptp.a_3_1_metric_1 A B C)))))))) (forall ((A $$unsorted)) (=> (tptp.v1_xreal_0 A) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.l1_metric_1 B)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 B)) (= (tptp.k11_metric_1 B C A) (tptp.a_3_2_metric_1 A B C)))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.v1_xreal_0 B) (not (tptp.v3_struct_0 C)) (tptp.l1_metric_1 C) (tptp.m1_subset_1 D (tptp.u1_struct_0 C))) (= (tptp.r2_hidden A (tptp.a_3_0_metric_1 B C D)) (exists ((E $$unsorted)) (and (tptp.m1_subset_1 E (tptp.u1_struct_0 C)) (= A E) (not (tptp.r1_xreal_0 B (tptp.k2_metric_1 C D E)))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.v1_xreal_0 B) (not (tptp.v3_struct_0 C)) (tptp.l1_metric_1 C) (tptp.m1_subset_1 D (tptp.u1_struct_0 C))) (= (tptp.r2_hidden A (tptp.a_3_1_metric_1 B C D)) (exists ((E $$unsorted)) (and (tptp.m1_subset_1 E (tptp.u1_struct_0 C)) (= A E) (tptp.r1_xreal_0 (tptp.k2_metric_1 C D E) B)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.v1_xreal_0 B) (not (tptp.v3_struct_0 C)) (tptp.l1_metric_1 C) (tptp.m1_subset_1 D (tptp.u1_struct_0 C))) (= (tptp.r2_hidden A (tptp.a_3_2_metric_1 B C D)) (exists ((E $$unsorted)) (and (tptp.m1_subset_1 E (tptp.u1_struct_0 C)) (= A E) (= (tptp.k2_metric_1 C D E) B)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (tptp.m1_connsp_2 C A B) (tptp.r2_hidden B (tptp.k1_tops_1 A C))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (tptp.m2_connsp_2 C A B) (tptp.r1_tarski B (tptp.k1_tops_1 A C))))))))) true true (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 _let_1)) (=> (and (tptp.m1_connsp_2 C A B) (tptp.m1_connsp_2 D A B)) (tptp.m1_connsp_2 (tptp.k4_subset_1 _let_1 C D) A B))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 _let_1)) (= (and (tptp.m1_connsp_2 C A B) (tptp.m1_connsp_2 D A B)) (tptp.m1_connsp_2 (tptp.k5_subset_1 _let_1 C D) A B))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (=> (and (tptp.v3_pre_topc B A) (tptp.r2_hidden C B)) (tptp.m1_connsp_2 B A C)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (=> (tptp.m1_connsp_2 B A C) (tptp.r2_hidden C B)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (not (and (tptp.m1_connsp_2 C A B) (forall ((D $$unsorted)) (=> (and (not (tptp.v1_xboole_0 D)) (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (not (and (tptp.m1_connsp_2 D A B) (tptp.v3_pre_topc D A) (tptp.r1_tarski D C))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (tptp.m1_connsp_2 C A B) (exists ((D $$unsorted)) (and (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (tptp.v3_pre_topc D A) (tptp.r1_tarski D C) (tptp.r2_hidden B D)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (tptp.v3_pre_topc B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (not (and (tptp.r2_hidden C B) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (not (and (tptp.m1_connsp_2 D A C) (tptp.r1_tarski D B)))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (tptp.m2_connsp_2 C A (tptp.k1_struct_0 A B)) (tptp.m1_connsp_2 C A B)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 (tptp.k3_pre_topc A B))) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 (tptp.k3_pre_topc A B)))) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F (tptp.u1_struct_0 A)) (=> (and (tptp.v3_pre_topc B A) (tptp.m1_connsp_2 D (tptp.k3_pre_topc A B) C) (= D E) (= C F)) (tptp.m1_connsp_2 E A F)))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 (tptp.k3_pre_topc A B))) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 (tptp.k3_pre_topc A B)))) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F (tptp.u1_struct_0 A)) (=> (and (tptp.m1_connsp_2 E A F) (= D E) (= C F)) (tptp.m1_connsp_2 D (tptp.k3_pre_topc A B) C)))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (and (tptp.r3_connsp_1 A B) (tptp.r1_tarski B C)) (tptp.r4_connsp_1 A C B)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.m1_pre_topc B A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 B)) (=> (= C D) (tptp.r1_tarski (tptp.k1_connsp_1 B D) (tptp.k1_connsp_1 A C))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (= (tptp.r1_connsp_2 A B) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (not (and (tptp.m1_connsp_2 C A B) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (not (and (tptp.m1_connsp_2 D A B) (tptp.v2_connsp_1 D A) (tptp.r1_tarski D C)))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (= (tptp.v1_connsp_2 A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (tptp.r1_connsp_2 A B)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (tptp.r2_connsp_2 A B C) (forall ((D $$unsorted)) (=> (and (not (tptp.v1_xboole_0 D)) (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (not (and (= B D) (forall ((E $$unsorted)) (let ((_let_1 (tptp.k3_pre_topc A D))) (=> (tptp.m1_subset_1 E (tptp.u1_struct_0 _let_1)) (not (and (= E C) (tptp.r1_connsp_2 _let_1 E))))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (= (tptp.v2_connsp_2 B A) (tptp.v1_connsp_2 (tptp.k3_pre_topc A B))))))) true true true true (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (= (tptp.r1_connsp_2 A B) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (and (tptp.m1_connsp_2 C A B) (tptp.r4_connsp_1 A C D) (tptp.r2_hidden B D)) (tptp.m1_connsp_2 D A B))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (= (tptp.r1_connsp_2 A B) (forall ((C $$unsorted)) (=> (and (not (tptp.v1_xboole_0 C)) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (not (and (tptp.v3_pre_topc C A) (tptp.r2_hidden B C) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k3_pre_topc A C))) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 _let_1)) (not (and (= D B) (tptp.r2_hidden B (tptp.k1_tops_1 _let_1 (tptp.k1_connsp_1 _let_1 D))))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (=> (tptp.v1_connsp_2 A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (tptp.r3_connsp_1 A B) (tptp.v3_pre_topc B A))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (=> (tptp.r1_connsp_2 A B) (forall ((C $$unsorted)) (=> (and (not (tptp.v1_xboole_0 C)) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (=> (and (tptp.v3_pre_topc C A) (tptp.r2_hidden B C)) (tptp.r2_connsp_2 A C B))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (=> (tptp.v1_connsp_2 A) (forall ((B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (=> (tptp.v3_pre_topc B A) (tptp.v2_connsp_2 B A))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (= (tptp.v1_connsp_2 A) (forall ((B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (and (tptp.v3_pre_topc B A) (tptp.r4_connsp_1 A B C)) (tptp.v3_pre_topc C A))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (=> (tptp.v1_connsp_2 A) (forall ((B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k3_pre_topc A B))) (=> (and (not (tptp.v1_xboole_0 C)) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 _let_1)))) (not (and (tptp.v2_connsp_1 C _let_1) (tptp.v3_pre_topc C _let_1) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 _let_1)) (not (and (tptp.v3_pre_topc D A) (tptp.v2_connsp_1 D A) (= C (tptp.k5_subset_1 _let_1 B D))))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (= (tptp.v5_compts_1 A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (not (and (not (= B tptp.k1_xboole_0)) (not (= C (tptp.k2_pre_topc A))) (tptp.r1_tarski B C) (tptp.v4_pre_topc B A) (tptp.v3_pre_topc C A) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (not (and (tptp.v3_pre_topc D A) (tptp.r1_tarski B D) (tptp.r1_tarski (tptp.k6_pre_topc A D) C)))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (=> (and (tptp.v1_connsp_2 A) (tptp.v5_compts_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (not (and (not (= B tptp.k1_xboole_0)) (not (= C tptp.k1_xboole_0)) (tptp.v4_pre_topc B A) (tptp.v4_pre_topc C A) (tptp.r1_xboole_0 B C) (tptp.v2_connsp_1 B A) (tptp.v2_connsp_1 C A) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (not (and (tptp.v2_connsp_1 D A) (tptp.v2_connsp_1 E A) (tptp.v3_pre_topc D A) (tptp.v3_pre_topc E A) (tptp.r1_tarski B D) (tptp.r1_tarski C E) (tptp.r1_xboole_0 D E)))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (not (and (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (tptp.r2_hidden D C) (and (tptp.v3_pre_topc D A) (tptp.v4_pre_topc D A) (tptp.r2_hidden B D))))) (= C tptp.k1_xboole_0))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (= C (tptp.k1_connsp_2 A B)) (exists ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (and (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 _let_1))) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (tptp.r2_hidden E D) (and (tptp.v3_pre_topc E A) (tptp.v4_pre_topc E A) (tptp.r2_hidden B E))))) (= (tptp.k6_setfam_1 _let_1 D) C))))))))))) true (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (tptp.r2_hidden B (tptp.k1_connsp_2 A B)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k1_connsp_2 A B))) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (and (tptp.v3_pre_topc C A) (tptp.v4_pre_topc C A) (tptp.r2_hidden B C) (tptp.r1_tarski C _let_1)) (= C _let_1))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (tptp.v4_pre_topc (tptp.k1_connsp_2 A B) A))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (tptp.r1_tarski (tptp.k1_connsp_1 A B) (tptp.k1_connsp_2 A B)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A) (tptp.m1_subset_1 B (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (=> (tptp.m1_connsp_2 C A B) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A) (tptp.m1_subset_1 B (tptp.u1_struct_0 A))) (exists ((C $$unsorted)) (tptp.m1_connsp_2 C A B)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.l1_pre_topc A) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (forall ((C $$unsorted)) (=> (tptp.m2_connsp_2 C A B) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.l1_pre_topc A) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (exists ((C $$unsorted)) (tptp.m2_connsp_2 C A B)))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A) (tptp.m1_subset_1 B _let_1)) (tptp.m1_subset_1 (tptp.k1_connsp_2 A B) (tptp.k1_zfmisc_1 _let_1))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k2_pcomps_1 A))) (and (tptp.v1_pre_topc _let_1) (tptp.v2_pre_topc _let_1)))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k2_pcomps_1 A))) (=> (not (tptp.v1_xboole_0 A)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v1_pre_topc _let_1) (tptp.v2_pre_topc _let_1))))) (exists ((A $$unsorted)) (and (tptp.l1_pre_topc A) (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.v2_pcomps_1 A))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k5_pcomps_1 A))) (=> (tptp.l1_metric_1 A) (and (tptp.v1_pre_topc _let_1) (tptp.v2_pre_topc _let_1))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k5_pcomps_1 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_metric_1 A)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v1_pre_topc _let_1) (tptp.v2_pre_topc _let_1))))) (exists ((A $$unsorted)) (and (tptp.l1_pre_topc A) (not (tptp.v3_struct_0 A)) (tptp.v1_pre_topc A) (tptp.v2_pre_topc A) (tptp.v3_compts_1 A))) (exists ((A $$unsorted)) (and (tptp.l1_pre_topc A) (not (tptp.v3_struct_0 A)) (tptp.v1_pre_topc A) (tptp.v2_pre_topc A) (tptp.v3_pcomps_1 A))) (forall ((A $$unsorted)) (=> (tptp.l1_metric_1 A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.v1_xreal_0 C) (forall ((D $$unsorted)) (=> (tptp.v1_xreal_0 D) (=> (tptp.r1_xreal_0 C D) (tptp.r1_tarski (tptp.k9_metric_1 A B C) (tptp.k9_metric_1 A B D))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (let ((_let_1 (= (tptp.k6_pre_topc A B) tptp.k1_xboole_0))) (let ((_let_2 (= B tptp.k1_xboole_0))) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (and (not (and (not _let_1) _let_2)) (not (and (not _let_2) _let_1))))))))) true true (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (=> (tptp.r1_pre_topc A B) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (exists ((D $$unsorted)) (and (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (tptp.r2_hidden C D) (tptp.r2_hidden D B)))))))))) (forall ((A $$unsorted)) (= (tptp.k2_pcomps_1 A) (tptp.g1_pre_topc A (tptp.k1_pcomps_1 A)))) true (forall ((A $$unsorted)) (= (tptp.u1_pre_topc (tptp.k2_pcomps_1 A)) (tptp.k1_pcomps_1 A))) (forall ((A $$unsorted)) (= (tptp.u1_struct_0 (tptp.k2_pcomps_1 A)) A)) (forall ((A $$unsorted)) (tptp.v2_compts_1 (tptp.k2_pcomps_1 (tptp.k1_tarski A)))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (=> (tptp.v3_compts_1 A) (tptp.v4_pre_topc (tptp.k1_struct_0 A B) A)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (=> (and (tptp.r1_tarski B C) (tptp.v1_pcomps_1 C A)) (tptp.v1_pcomps_1 B A)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (=> (tptp.v1_finset_1 B) (tptp.v1_pcomps_1 B A)))))) (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (= (= C (tptp.k3_pcomps_1 A B)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (tptp.r2_hidden D C) (exists ((E $$unsorted)) (and (tptp.m1_subset_1 E (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= D (tptp.k6_pre_topc A E)) (tptp.r2_hidden E B))))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (tptp.v2_tops_2 (tptp.k3_pcomps_1 A B) A))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (=> (= B tptp.k1_xboole_0) (= (tptp.k3_pcomps_1 A B) tptp.k1_xboole_0)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (=> (= C (tptp.k1_tarski B)) (= (tptp.k3_pcomps_1 A C) (tptp.k1_tarski (tptp.k6_pre_topc A B)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (=> (tptp.r1_tarski B C) (tptp.r1_tarski (tptp.k3_pcomps_1 A B) (tptp.k3_pcomps_1 A C))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 _let_1)) (= (tptp.k3_pcomps_1 A (tptp.k4_subset_1 _let_1 B C)) (tptp.k4_subset_1 _let_1 (tptp.k3_pcomps_1 A B) (tptp.k3_pcomps_1 A C)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 _let_1))) (=> (tptp.v1_finset_1 B) (= (tptp.k6_pre_topc A (tptp.k5_setfam_1 _let_1 B)) (tptp.k5_setfam_1 _let_1 (tptp.k3_pcomps_1 A B))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (tptp.r1_setfam_1 B (tptp.k3_pcomps_1 A B)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (=> (tptp.v1_pcomps_1 B A) (tptp.v1_pcomps_1 (tptp.k3_pcomps_1 A B) A)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 _let_1))) (tptp.r1_tarski (tptp.k5_setfam_1 _let_1 B) (tptp.k5_setfam_1 _let_1 (tptp.k3_pcomps_1 A B)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 _let_1))) (=> (tptp.v1_pcomps_1 B A) (= (tptp.k6_pre_topc A (tptp.k5_setfam_1 _let_1 B)) (tptp.k5_setfam_1 _let_1 (tptp.k3_pcomps_1 A B))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 _let_1))) (=> (and (tptp.v1_pcomps_1 B A) (tptp.v2_tops_2 B A)) (tptp.v4_pre_topc (tptp.k5_setfam_1 _let_1 B) A))))))) (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (= (tptp.v2_pcomps_1 A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (not (and (tptp.r1_pre_topc A B) (tptp.v1_tops_2 B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (not (and (tptp.v1_tops_2 C A) (tptp.r1_pre_topc A C) (tptp.r1_setfam_1 C B) (tptp.v1_pcomps_1 C A)))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (=> (tptp.v2_compts_1 A) (tptp.v2_pcomps_1 A)))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (not (and (tptp.v2_pcomps_1 A) (tptp.v4_pre_topc B A) (tptp.v4_pre_topc C A) (tptp.r1_xboole_0 B C) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (not (and (tptp.r2_hidden D C) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (not (and (tptp.v3_pre_topc E A) (tptp.v3_pre_topc F A) (tptp.r1_tarski B E) (tptp.r2_hidden D F) (tptp.r1_xboole_0 E F))))))))))) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (not (and (tptp.v3_pre_topc D A) (tptp.v3_pre_topc E A) (tptp.r1_tarski B D) (tptp.r1_tarski C E) (tptp.r1_xboole_0 D E))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (=> (and (tptp.v3_compts_1 A) (tptp.v2_pcomps_1 A)) (tptp.v4_compts_1 A)))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (=> (and (tptp.v3_compts_1 A) (tptp.v2_pcomps_1 A)) (tptp.v5_compts_1 A)))) (forall ((A $$unsorted)) (=> (tptp.l1_metric_1 A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (= (= B (tptp.k4_pcomps_1 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (tptp.r2_hidden C B) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (not (and (tptp.r2_hidden D C) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E tptp.k1_numbers) (not (and (not (tptp.r1_xreal_0 E tptp.np__0)) (tptp.r1_tarski (tptp.k9_metric_1 A D E) C))))))))))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_metric_1 A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (exists ((C $$unsorted)) (and (tptp.m1_subset_1 C tptp.k1_numbers) (not (tptp.r1_xreal_0 C tptp.np__0)) (tptp.r1_tarski (tptp.k9_metric_1 A B C) (tptp.u1_struct_0 A)))))))) (forall ((A $$unsorted)) (=> (tptp.l1_metric_1 A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.v1_xreal_0 D) (not (and (tptp.v9_metric_1 A) (tptp.r2_hidden B (tptp.k9_metric_1 A C D)) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E tptp.k1_numbers) (not (and (not (tptp.r1_xreal_0 E tptp.np__0)) (tptp.r1_tarski (tptp.k9_metric_1 A B E) (tptp.k9_metric_1 A C D)))))))))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_metric_1 A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.k1_numbers) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C tptp.k1_numbers) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.u1_struct_0 A)) (forall ((F $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 F _let_1) (not (and (tptp.v9_metric_1 A) (tptp.r2_hidden D (tptp.k5_subset_1 _let_1 (tptp.k9_metric_1 A E B) (tptp.k9_metric_1 A F C))) (forall ((G $$unsorted)) (let ((_let_1 (tptp.k9_metric_1 A D G))) (=> (tptp.m1_subset_1 G tptp.k1_numbers) (not (and (tptp.r1_tarski _let_1 (tptp.k9_metric_1 A E B)) (tptp.r1_tarski _let_1 (tptp.k9_metric_1 A F C)))))))))))))))))))))) true (forall ((A $$unsorted)) (=> (tptp.l1_metric_1 A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.v1_xreal_0 C) (=> (tptp.v9_metric_1 A) (tptp.r2_hidden (tptp.k9_metric_1 A B C) (tptp.k4_pcomps_1 A))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_metric_1 A) (tptp.r2_hidden (tptp.u1_struct_0 A) (tptp.k4_pcomps_1 A)))) (forall ((A $$unsorted)) (=> (tptp.l1_metric_1 A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k4_pcomps_1 A))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 _let_2)) (=> (and (tptp.r2_hidden B _let_1) (tptp.r2_hidden C _let_1)) (tptp.r2_hidden (tptp.k5_subset_1 _let_2 B C) _let_1)))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_metric_1 A) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k4_pcomps_1 A))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 _let_2))) (=> (tptp.r1_tarski B _let_1) (tptp.r2_hidden (tptp.k5_setfam_1 _let_2 B) _let_1)))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.g1_pre_topc (tptp.u1_struct_0 A) (tptp.k4_pcomps_1 A)))) (=> (tptp.l1_metric_1 A) (and (tptp.v2_pre_topc _let_1) (tptp.l1_pre_topc _let_1))))) (forall ((A $$unsorted)) (=> (tptp.l1_metric_1 A) (= (tptp.k5_pcomps_1 A) (tptp.g1_pre_topc (tptp.u1_struct_0 A) (tptp.k4_pcomps_1 A))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v6_metric_1 A) (tptp.v7_metric_1 A) (tptp.v8_metric_1 A) (tptp.v9_metric_1 A) (tptp.l1_metric_1 A)) (tptp.v3_compts_1 (tptp.k5_pcomps_1 A)))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_1 tptp.k1_numbers) (tptp.m2_relset_1 B _let_1 tptp.k1_numbers)) (= (tptp.r1_pcomps_1 A B) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C A) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D A) (forall ((E $$unsorted)) (let ((_let_1 (tptp.k1_metric_1 A A B C D))) (let ((_let_2 (= _let_1 tptp.np__0))) (let ((_let_3 (= C D))) (=> (tptp.m1_subset_1 E A) (and (=> _let_2 _let_3) (=> _let_3 _let_2) (= _let_1 (tptp.k1_metric_1 A A B D C)) (tptp.r1_xreal_0 (tptp.k1_metric_1 A A B C E) (tptp.k3_real_1 _let_1 (tptp.k1_metric_1 A A B D E))))))))))))))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.g1_metric_1 A B))) (let ((_let_2 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_2 tptp.k1_numbers) (tptp.m2_relset_1 B _let_2 tptp.k1_numbers)) (= (tptp.r1_pcomps_1 A B) (and (tptp.v6_metric_1 _let_1) (tptp.v7_metric_1 _let_1) (tptp.v8_metric_1 _let_1) (tptp.v9_metric_1 _let_1) (tptp.l1_metric_1 _let_1))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_1 tptp.k1_numbers) (tptp.m2_relset_1 B _let_1 tptp.k1_numbers)) (=> (tptp.r1_pcomps_1 A B) (= (tptp.k6_pcomps_1 A B) (tptp.g1_metric_1 A B)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_pre_topc A)) (= (tptp.v3_pcomps_1 A) (exists ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.k2_zfmisc_1 _let_1 _let_1))) (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_2 tptp.k1_numbers) (tptp.m2_relset_1 B _let_2 tptp.k1_numbers) (tptp.r1_pcomps_1 _let_1 B) (= (tptp.k4_pcomps_1 (tptp.k6_pcomps_1 _let_1 B)) (tptp.u1_pre_topc A))))))))) (=> (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A (tptp.k1_zfmisc_1 (tptp.u1_struct_0 tptp.f1_s1_pcomps_1))) (=> (tptp.r2_hidden A tptp.f2_s1_pcomps_1) (tptp.r2_hidden (tptp.f4_s1_pcomps_1 A) tptp.f3_s1_pcomps_1)))) (exists ((A $$unsorted)) (and (tptp.v1_funct_1 A) (tptp.v1_funct_2 A tptp.f2_s1_pcomps_1 tptp.f3_s1_pcomps_1) (tptp.m2_relset_1 A tptp.f2_s1_pcomps_1 tptp.f3_s1_pcomps_1) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 tptp.f1_s1_pcomps_1))) (=> (tptp.r2_hidden B tptp.f2_s1_pcomps_1) (= (tptp.k1_funct_1 A B) (tptp.f4_s1_pcomps_1 B)))))))) (forall ((A $$unsorted)) (tptp.m1_subset_1 (tptp.k1_pcomps_1 A) (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 A)))) (forall ((A $$unsorted)) (= (tptp.k1_pcomps_1 A) (tptp.k1_zfmisc_1 A))) (forall ((A $$unsorted)) (tptp.l1_pre_topc (tptp.k2_pcomps_1 A))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))))) (=> (and (tptp.l1_pre_topc A) (tptp.m1_subset_1 B _let_1)) (tptp.m1_subset_1 (tptp.k3_pcomps_1 A B) _let_1)))) (forall ((A $$unsorted)) (=> (tptp.l1_metric_1 A) (tptp.m1_subset_1 (tptp.k4_pcomps_1 A) (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))))) (forall ((A $$unsorted)) (=> (tptp.l1_metric_1 A) (tptp.l1_pre_topc (tptp.k5_pcomps_1 A)))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k6_pcomps_1 A B))) (let ((_let_2 (tptp.k2_zfmisc_1 A A))) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_2 tptp.k1_numbers) (tptp.m1_relset_1 B _let_2 tptp.k1_numbers)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v1_metric_1 _let_1) (tptp.v6_metric_1 _let_1) (tptp.v7_metric_1 _let_1) (tptp.v8_metric_1 _let_1) (tptp.v9_metric_1 _let_1) (tptp.l1_metric_1 _let_1)))))) (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (= (tptp.v1_pcomps_1 B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (exists ((D $$unsorted)) (and (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (tptp.r2_hidden C D) (tptp.v3_pre_topc D A) (tptp.v1_finset_1 (tptp.a_3_0_pcomps_1 A B D))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (tptp.r1_tarski (tptp.a_3_1_pcomps_1 A B C) B))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B)))) (=> (and (tptp.l1_pre_topc B) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 _let_1)) (tptp.m1_subset_1 D _let_1)) (= (tptp.r2_hidden A (tptp.a_3_0_pcomps_1 B C D)) (exists ((E $$unsorted)) (and (tptp.m1_subset_1 E (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B))) (= A E) (tptp.r2_hidden E C) (not (tptp.r1_xboole_0 E D)))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B)))) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_pre_topc B) (tptp.l1_pre_topc B) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 _let_1)) (tptp.m1_subset_1 D _let_1)) (= (tptp.r2_hidden A (tptp.a_3_1_pcomps_1 B C D)) (exists ((E $$unsorted)) (and (tptp.m1_subset_1 E (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B))) (= A E) (tptp.r2_hidden E C) (not (tptp.r1_xboole_0 E D)))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (exists ((B $$unsorted)) (and (tptp.m1_eqrel_1 B A) (not (tptp.v1_xboole_0 B)) (tptp.v1_setfam_1 B))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (let ((_let_3 (tptp.k3_borsuk_1 A B C))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A) (not (tptp.v3_struct_0 B)) (tptp.v2_pre_topc B) (tptp.l1_pre_topc B) (tptp.m1_subset_1 C _let_1)) (and (not (tptp.v1_xboole_0 _let_3)) (tptp.v1_relat_1 _let_3) (tptp.v1_funct_1 _let_3) (tptp.v1_funct_2 _let_3 _let_2 _let_1) (tptp.v5_pre_topc _let_3 A B) (tptp.v1_partfun1 _let_3 _let_2 _let_1))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A) (not (tptp.v3_struct_0 B)) (tptp.v2_pre_topc B) (tptp.l1_pre_topc B)) (exists ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (and (tptp.m1_relset_1 C _let_2 _let_1) (not (tptp.v1_xboole_0 C)) (tptp.v1_relat_1 C) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.v5_pre_topc C A B) (tptp.v1_partfun1 C _let_2 _let_1))))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k6_borsuk_1 A B))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A) (not (tptp.v3_struct_0 B)) (tptp.v2_pre_topc B) (tptp.l1_pre_topc B)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v1_pre_topc _let_1) (tptp.v2_pre_topc _let_1))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k15_borsuk_1 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_struct_0 A)) (and (not (tptp.v1_xboole_0 _let_1)) (tptp.v1_setfam_1 _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k16_borsuk_1 A B))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A) (not (tptp.v1_xboole_0 B)) (tptp.m1_eqrel_1 B (tptp.u1_struct_0 A))) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v1_pre_topc _let_1) (tptp.v2_pre_topc _let_1))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (exists ((B $$unsorted)) (and (tptp.m1_pre_topc B A) (tptp.v1_pre_topc B) (tptp.v2_pre_topc B) (tptp.v1_borsuk_1 B A))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (exists ((B $$unsorted)) (and (tptp.m1_pre_topc B A) (not (tptp.v3_struct_0 B)) (tptp.v1_pre_topc B) (tptp.v2_pre_topc B) (tptp.v1_borsuk_1 B A))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (exists ((B $$unsorted)) (and (tptp.m1_borsuk_1 B A) (not (tptp.v1_xboole_0 B)) (tptp.v1_setfam_1 B) (tptp.v2_borsuk_1 B A))))) (and (not (tptp.v3_struct_0 tptp.k22_borsuk_1)) (tptp.v1_pre_topc tptp.k22_borsuk_1) (tptp.v2_pre_topc tptp.k22_borsuk_1)) true true true (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (= (tptp.k3_funct_2 A A (tptp.k6_partfun1 A) B) B))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (=> (tptp.r1_tarski A (tptp.k10_relat_1 C B)) (tptp.r1_tarski (tptp.k9_relat_1 C A) B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (tptp.r1_tarski (tptp.k9_relat_1 (tptp.k2_funcop_1 A B) C) (tptp.k1_tarski B))) true true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k9_funct_3 B C))) (let ((_let_2 (tptp.k2_zfmisc_1 B C))) (=> (tptp.r1_tarski A _let_2) (= (tptp.k1_funct_1 (tptp.k1_funct_3 _let_1) A) (tptp.k2_funct_2 _let_2 B _let_1 A)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k10_funct_3 B C))) (let ((_let_2 (tptp.k2_zfmisc_1 B C))) (=> (tptp.r1_tarski A _let_2) (= (tptp.k1_funct_1 (tptp.k1_funct_3 _let_1) A) (tptp.k2_funct_2 _let_2 C _let_1 A)))))) true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 A)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k12_mcart_1 A B C D))) (let ((_let_2 (tptp.k2_zfmisc_1 A B))) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 B)) (=> (not (= _let_1 tptp.k1_xboole_0)) (and (= (tptp.k2_funct_2 _let_2 A (tptp.k9_funct_3 A B) _let_1) C) (= (tptp.k2_funct_2 _let_2 B (tptp.k10_funct_3 A B) _let_1) D))))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 A)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k12_mcart_1 A B C D))) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 B)) (=> (not (= _let_1 tptp.k1_xboole_0)) (and (= (tptp.k1_funct_1 (tptp.k1_funct_3 (tptp.k9_funct_3 A B)) _let_1) C) (= (tptp.k1_funct_1 (tptp.k1_funct_3 (tptp.k10_funct_3 A B)) _let_1) D)))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.k2_zfmisc_1 A B))) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 (tptp.k2_zfmisc_1 A B)))) (=> (forall ((E $$unsorted)) (=> (tptp.r2_hidden E D) (and (tptp.r1_tarski E C) (exists ((F $$unsorted)) (and (tptp.m1_subset_1 F (tptp.k1_zfmisc_1 A)) (exists ((G $$unsorted)) (and (tptp.m1_subset_1 G (tptp.k1_zfmisc_1 B)) (= E (tptp.k12_mcart_1 A B F G))))))))) (tptp.r1_tarski (tptp.k2_zfmisc_1 (tptp.k3_tarski (tptp.k9_relat_1 (tptp.k1_funct_3 (tptp.k9_funct_3 A B)) D)) (tptp.k1_setfam_1 (tptp.k9_relat_1 (tptp.k1_funct_3 (tptp.k10_funct_3 A B)) D))) C)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.k2_zfmisc_1 A B))) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 (tptp.k2_zfmisc_1 A B)))) (=> (forall ((E $$unsorted)) (=> (tptp.r2_hidden E D) (and (tptp.r1_tarski E C) (exists ((F $$unsorted)) (and (tptp.m1_subset_1 F (tptp.k1_zfmisc_1 A)) (exists ((G $$unsorted)) (and (tptp.m1_subset_1 G (tptp.k1_zfmisc_1 B)) (= E (tptp.k12_mcart_1 A B F G))))))))) (tptp.r1_tarski (tptp.k2_zfmisc_1 (tptp.k1_setfam_1 (tptp.k9_relat_1 (tptp.k1_funct_3 (tptp.k9_funct_3 A B)) D)) (tptp.k3_tarski (tptp.k9_relat_1 (tptp.k1_funct_3 (tptp.k10_funct_3 A B)) D))) C)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C A B) (tptp.m2_relset_1 C A B)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 A))) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 _let_1)) (= (tptp.k5_setfam_1 B (tptp.k2_funct_2 _let_1 (tptp.k1_zfmisc_1 B) (tptp.k2_funct_3 A B C) D)) (tptp.k2_funct_2 A B C (tptp.k5_setfam_1 A D)))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 A))) (=> (= (tptp.k5_setfam_1 A B) A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 B)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 A)) (=> (= D (tptp.k3_tarski C)) (tptp.r1_tarski (tptp.k3_subset_1 A D) (tptp.k3_tarski (tptp.k3_subset_1 B C))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (=> (not (tptp.v1_xboole_0 C)) (forall ((D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D A B) (tptp.m2_relset_1 D A B)) (forall ((E $$unsorted)) (=> (and (tptp.v1_funct_1 E) (tptp.v1_funct_2 E A C) (tptp.m2_relset_1 E A C)) (not (and (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F A) (forall ((G $$unsorted)) (=> (tptp.m1_subset_1 G A) (=> (= (tptp.k8_funct_2 A B D F) (tptp.k8_funct_2 A B D G)) (= (tptp.k8_funct_2 A C E F) (tptp.k8_funct_2 A C E G))))))) (forall ((F $$unsorted)) (=> (and (tptp.v1_funct_1 F) (tptp.v1_funct_2 F B C) (tptp.m2_relset_1 F B C)) (not (= (tptp.k7_funct_2 A B C D F) E)))))))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (=> (not (tptp.v1_xboole_0 C)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D B) (forall ((E $$unsorted)) (=> (and (tptp.v1_funct_1 E) (tptp.v1_funct_2 E A B) (tptp.m2_relset_1 E A B)) (forall ((F $$unsorted)) (=> (and (tptp.v1_funct_1 F) (tptp.v1_funct_2 F B C) (tptp.m2_relset_1 F B C)) (tptp.r1_tarski (tptp.k3_funct_2 A B E (tptp.k6_domain_1 B D)) (tptp.k3_funct_2 A C (tptp.k7_funct_2 A B C E F) (tptp.k6_domain_1 C (tptp.k8_funct_2 B C F D)))))))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (=> (not (tptp.v1_xboole_0 C)) (forall ((D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D A B) (tptp.m2_relset_1 D A B)) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E A) (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F C) (= (tptp.k8_funct_2 (tptp.k2_zfmisc_1 A C) (tptp.k2_zfmisc_1 B C) (tptp.k16_funct_3 A C B C D (tptp.k6_partfun1 C)) (tptp.k1_domain_1 A C E F)) (tptp.k1_domain_1 B C (tptp.k8_funct_2 A B D E) F)))))))))))))) true (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (=> (not (tptp.v1_xboole_0 C)) (forall ((D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D A B) (tptp.m2_relset_1 D A B)) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.k1_zfmisc_1 A)) (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F (tptp.k1_zfmisc_1 C)) (= (tptp.k2_funct_2 (tptp.k2_zfmisc_1 A C) (tptp.k2_zfmisc_1 B C) (tptp.k16_funct_3 A C B C D (tptp.k6_partfun1 C)) (tptp.k12_mcart_1 A C E F)) (tptp.k12_mcart_1 B C (tptp.k2_funct_2 A B D E) F)))))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (=> (not (tptp.v1_xboole_0 C)) (forall ((D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D A B) (tptp.m2_relset_1 D A B)) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E B) (forall ((F $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 B C))) (=> (tptp.m1_subset_1 F C) (= (tptp.k3_funct_2 (tptp.k2_zfmisc_1 A C) _let_1 (tptp.k16_funct_3 A C B C D (tptp.k6_partfun1 C)) (tptp.k6_domain_1 _let_1 (tptp.k1_domain_1 B C E F))) (tptp.k12_mcart_1 A C (tptp.k3_funct_2 A B D (tptp.k6_domain_1 B E)) (tptp.k6_domain_1 C F)))))))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 A))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 B)) (tptp.m1_subset_1 (tptp.k3_tarski C) (tptp.k1_zfmisc_1 A)))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_eqrel_1 B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 B)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 B)) (= (tptp.k3_tarski (tptp.k5_subset_1 B C D)) (tptp.k3_xboole_0 (tptp.k3_tarski C) (tptp.k3_tarski D))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (tptp.m1_eqrel_1 B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 B)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 A)) (=> (= D (tptp.k3_tarski C)) (= (tptp.k3_subset_1 A D) (tptp.k3_tarski (tptp.k3_subset_1 B C)))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (and (tptp.v3_relat_2 B) (tptp.v8_relat_2 B) (tptp.v1_partfun1 B A A) (tptp.m2_relset_1 B A A)) (not (tptp.v1_xboole_0 (tptp.k8_eqrel_1 A B))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.m1_eqrel_1 B A)) (forall ((C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C A B) (tptp.m2_relset_1 C A B)) (= (= C (tptp.k2_borsuk_1 A B)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D A) (tptp.r2_hidden D (tptp.k8_funct_2 A B C D))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.m1_eqrel_1 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C A) (forall ((D $$unsorted)) (=> (tptp.m2_subset_1 D (tptp.k1_zfmisc_1 A) B) (=> (tptp.r2_hidden C D) (= D (tptp.k8_funct_2 A B (tptp.k2_borsuk_1 A B) C))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.m1_eqrel_1 B A)) (forall ((C $$unsorted)) (=> (tptp.m2_subset_1 C (tptp.k1_zfmisc_1 A) B) (= C (tptp.k3_funct_2 A B (tptp.k2_borsuk_1 A B) (tptp.k6_domain_1 B C))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.m1_eqrel_1 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 B)) (= (tptp.k3_funct_2 A B (tptp.k2_borsuk_1 A B) C) (tptp.k3_tarski C)))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.m1_eqrel_1 B A)) (forall ((C $$unsorted)) (=> (tptp.m2_subset_1 C (tptp.k1_zfmisc_1 A) B) (exists ((D $$unsorted)) (and (tptp.m1_subset_1 D A) (= (tptp.k8_funct_2 A B (tptp.k2_borsuk_1 A B) D) C))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.m1_eqrel_1 B A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k2_borsuk_1 A B))) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 A)) (=> (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 A)) (=> (tptp.r2_hidden D B) (or (tptp.r1_xboole_0 D C) (tptp.r1_tarski D C))))) (= C (tptp.k3_funct_2 A B _let_1 (tptp.k2_funct_2 A B _let_1 C))))))))))) true (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (forall ((B $$unsorted)) (=> (tptp.m1_pre_topc B A) (tptp.r1_tarski (tptp.u1_struct_0 B) (tptp.u1_struct_0 A)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_pre_topc B) (tptp.l1_pre_topc B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.m2_relset_1 C _let_2 _let_1)) (= (tptp.v5_pre_topc C A B) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (forall ((E $$unsorted)) (=> (tptp.m1_connsp_2 E B (tptp.k8_funct_2 (tptp.u1_struct_0 A) (tptp.u1_struct_0 B) C D)) (exists ((F $$unsorted)) (and (tptp.m1_connsp_2 F A D) (tptp.r1_tarski (tptp.k4_pre_topc A B C F) E)))))))))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_struct_0 A) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.l1_struct_0 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (=> (tptp.m1_subset_1 C _let_1) (= (tptp.k3_borsuk_1 A B C) (tptp.k1_borsuk_1 _let_1 (tptp.u1_struct_0 A) C))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_pre_topc B) (tptp.l1_pre_topc B)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (tptp.v5_pre_topc (tptp.k3_borsuk_1 B A C) B A))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_pre_topc B) (tptp.l1_pre_topc B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.v5_pre_topc C A B) (tptp.m2_relset_1 C _let_2 _let_1)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B))) (tptp.r1_tarski (tptp.k5_pre_topc A B C (tptp.k1_tops_1 B D)) (tptp.k1_tops_1 A (tptp.k5_pre_topc A B C D))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_pre_topc B) (tptp.l1_pre_topc B)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.u1_struct_0 B))) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D _let_2 _let_1) (tptp.v5_pre_topc D B A) (tptp.m2_relset_1 D _let_2 _let_1)) (forall ((E $$unsorted)) (=> (tptp.m1_connsp_2 E A C) (tptp.m2_connsp_2 (tptp.k5_pre_topc B A D E) B (tptp.k5_pre_topc B A D (tptp.k1_struct_0 A C))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((D $$unsorted)) (=> (tptp.m2_connsp_2 D A C) (=> (tptp.r1_tarski B C) (tptp.m2_connsp_2 D A B)))))))))) true (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (tptp.v6_compts_1 (tptp.k1_struct_0 A B) A))))) (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (forall ((B $$unsorted)) (=> (tptp.m1_pre_topc B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B))) (=> (= C D) (= (tptp.v6_compts_1 C A) (tptp.v6_compts_1 D B))))))))))) true true true (forall ((A $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (tptp.v2_pre_topc B) (tptp.l1_pre_topc B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k6_borsuk_1 A B))) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 _let_1))) (= (tptp.v3_pre_topc C _let_1) (exists ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 (tptp.k6_borsuk_1 A B)))) (and (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 _let_1))) (= C (tptp.k5_setfam_1 _let_1 D)) (forall ((E $$unsorted)) (not (and (tptp.r2_hidden E D) (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((G $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (=> (tptp.m1_subset_1 G (tptp.k1_zfmisc_1 _let_1)) (not (and (= E (tptp.k12_mcart_1 (tptp.u1_struct_0 A) _let_1 F G)) (tptp.v3_pre_topc F A) (tptp.v3_pre_topc G B)))))))))))))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (tptp.v2_pre_topc B) (tptp.l1_pre_topc B)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B))) (=> (and (tptp.v3_pre_topc C A) (tptp.v3_pre_topc D B)) (tptp.v3_pre_topc (tptp.k7_borsuk_1 A B C D) (tptp.k6_borsuk_1 A B))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (tptp.v2_pre_topc B) (tptp.l1_pre_topc B)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B))) (= (tptp.k1_tops_1 (tptp.k6_borsuk_1 A B) (tptp.k7_borsuk_1 A B C D)) (tptp.k7_borsuk_1 A B (tptp.k1_tops_1 A C) (tptp.k1_tops_1 B D))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_pre_topc B) (tptp.l1_pre_topc B)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 B)) (forall ((E $$unsorted)) (=> (tptp.m1_connsp_2 E A C) (forall ((F $$unsorted)) (=> (tptp.m1_connsp_2 F B D) (tptp.m1_connsp_2 (tptp.k7_borsuk_1 A B E F) (tptp.k6_borsuk_1 A B) (tptp.k8_borsuk_1 A B C D)))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_pre_topc B) (tptp.l1_pre_topc B)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B))) (forall ((E $$unsorted)) (=> (tptp.m2_connsp_2 E A C) (forall ((F $$unsorted)) (=> (tptp.m2_connsp_2 F B D) (tptp.m2_connsp_2 (tptp.k7_borsuk_1 A B E F) (tptp.k6_borsuk_1 A B) (tptp.k7_borsuk_1 A B C D)))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_pre_topc B) (tptp.l1_pre_topc B)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 (tptp.k6_borsuk_1 A B))) (exists ((D $$unsorted)) (and (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (exists ((E $$unsorted)) (and (tptp.m1_subset_1 E (tptp.u1_struct_0 B)) (= C (tptp.k8_borsuk_1 A B D E)))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (tptp.v2_pre_topc B) (tptp.l1_pre_topc B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k6_borsuk_1 A B))) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 _let_1))) (tptp.v1_tops_2 (tptp.k11_borsuk_1 A B C) _let_1)))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (tptp.v2_pre_topc B) (tptp.l1_pre_topc B)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 (tptp.k6_borsuk_1 A B)))) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 (tptp.k6_borsuk_1 A B)))) (=> (tptp.r1_tarski C D) (tptp.r1_tarski (tptp.k11_borsuk_1 A B C) (tptp.k11_borsuk_1 A B D))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (tptp.v2_pre_topc B) (tptp.l1_pre_topc B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 (tptp.k6_borsuk_1 A B)))) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 _let_1)) (tptp.r1_tarski (tptp.k5_setfam_1 _let_1 (tptp.k11_borsuk_1 A B C)) C)))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (tptp.v2_pre_topc B) (tptp.l1_pre_topc B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k6_borsuk_1 A B))) (let ((_let_2 (tptp.u1_struct_0 _let_1))) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 _let_2)) (=> (tptp.v3_pre_topc C _let_1) (= C (tptp.k5_setfam_1 _let_2 (tptp.k11_borsuk_1 A B C)))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (tptp.v2_pre_topc B) (tptp.l1_pre_topc B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k6_borsuk_1 A B))) (let ((_let_2 (tptp.u1_struct_0 _let_1))) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 _let_2)) (= (tptp.k1_tops_1 _let_1 C) (tptp.k5_setfam_1 _let_2 (tptp.k11_borsuk_1 A B C))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_pre_topc B) (tptp.l1_pre_topc B)) (= (tptp.k12_borsuk_1 A B) (tptp.k2_funct_3 (tptp.k2_zfmisc_1 _let_2 _let_1) _let_2 (tptp.k9_funct_3 _let_2 _let_1))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_pre_topc B) (tptp.l1_pre_topc B)) (= (tptp.k13_borsuk_1 A B) (tptp.k2_funct_3 (tptp.k2_zfmisc_1 _let_2 _let_1) _let_1 (tptp.k10_funct_3 _let_2 _let_1))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_pre_topc B) (tptp.l1_pre_topc B)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 (tptp.k6_borsuk_1 A B)))) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 (tptp.k6_borsuk_1 A B)))) (let ((_let_3 (tptp.k1_pcomps_1 _let_2))) (let ((_let_4 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 _let_2))) (=> (forall ((E $$unsorted)) (=> (tptp.r2_hidden E D) (and (tptp.r1_tarski E C) (exists ((F $$unsorted)) (and (tptp.m1_subset_1 F (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (exists ((G $$unsorted)) (and (tptp.m1_subset_1 G (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B))) (= E (tptp.k7_borsuk_1 A B F G))))))))) (tptp.r1_tarski (tptp.k7_borsuk_1 A B (tptp.k5_setfam_1 _let_4 (tptp.k2_funct_2 _let_3 (tptp.k1_pcomps_1 _let_4) (tptp.k12_borsuk_1 A B) D)) (tptp.k6_setfam_1 _let_1 (tptp.k2_funct_2 _let_3 (tptp.k1_pcomps_1 _let_1) (tptp.k13_borsuk_1 A B) D))) C)))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_pre_topc B) (tptp.l1_pre_topc B)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 (tptp.k6_borsuk_1 A B))))) (forall ((D $$unsorted)) (not (and (tptp.r2_hidden D (tptp.k2_funct_2 (tptp.k1_pcomps_1 (tptp.u1_struct_0 (tptp.k6_borsuk_1 A B))) (tptp.k1_pcomps_1 (tptp.u1_struct_0 A)) (tptp.k12_borsuk_1 A B) C)) (forall ((E $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 E (tptp.k1_zfmisc_1 (tptp.u1_struct_0 (tptp.k6_borsuk_1 A B)))) (not (and (tptp.r2_hidden E C) (= D (tptp.k2_funct_2 (tptp.k2_zfmisc_1 _let_2 _let_1) _let_2 (tptp.k9_funct_3 _let_2 _let_1) E))))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_pre_topc B) (tptp.l1_pre_topc B)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 (tptp.k6_borsuk_1 A B))))) (forall ((D $$unsorted)) (not (and (tptp.r2_hidden D (tptp.k2_funct_2 (tptp.k1_pcomps_1 (tptp.u1_struct_0 (tptp.k6_borsuk_1 A B))) (tptp.k1_pcomps_1 (tptp.u1_struct_0 B)) (tptp.k13_borsuk_1 A B) C)) (forall ((E $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 E (tptp.k1_zfmisc_1 (tptp.u1_struct_0 (tptp.k6_borsuk_1 A B)))) (not (and (tptp.r2_hidden E C) (= D (tptp.k2_funct_2 (tptp.k2_zfmisc_1 _let_2 _let_1) _let_1 (tptp.k10_funct_3 _let_2 _let_1) E))))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_pre_topc B) (tptp.l1_pre_topc B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k6_borsuk_1 A B))) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 _let_1))) (=> (tptp.v3_pre_topc C _let_1) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((E $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (let ((_let_3 (tptp.k2_zfmisc_1 _let_2 _let_1))) (=> (tptp.m1_subset_1 E (tptp.k1_zfmisc_1 _let_1)) (and (=> (= D (tptp.k2_funct_2 _let_3 _let_2 (tptp.k9_funct_3 _let_2 _let_1) C)) (tptp.v3_pre_topc D A)) (=> (= E (tptp.k2_funct_2 _let_3 _let_1 (tptp.k10_funct_3 _let_2 _let_1) C)) (tptp.v3_pre_topc E B)))))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_pre_topc B) (tptp.l1_pre_topc B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k6_borsuk_1 A B))) (let ((_let_2 (tptp.u1_struct_0 _let_1))) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 _let_2))) (=> (tptp.v1_tops_2 C _let_1) (and (tptp.v1_tops_2 (tptp.k14_borsuk_1 _let_2 (tptp.u1_struct_0 A) (tptp.k12_borsuk_1 A B) C) A) (tptp.v1_tops_2 (tptp.k14_borsuk_1 _let_2 (tptp.u1_struct_0 B) (tptp.k13_borsuk_1 A B) C) B))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_pre_topc B) (tptp.l1_pre_topc B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 (tptp.k6_borsuk_1 A B)))) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 _let_1))) (=> (or (= (tptp.k14_borsuk_1 _let_1 (tptp.u1_struct_0 A) (tptp.k12_borsuk_1 A B) C) tptp.k1_xboole_0) (= (tptp.k14_borsuk_1 _let_1 (tptp.u1_struct_0 B) (tptp.k13_borsuk_1 A B) C) tptp.k1_xboole_0)) (= C tptp.k1_xboole_0))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_pre_topc B) (tptp.l1_pre_topc B)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 (tptp.k6_borsuk_1 A B))))) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((E $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.k6_borsuk_1 A B))) (let ((_let_3 (tptp.u1_struct_0 _let_2))) (=> (tptp.m1_subset_1 E (tptp.k1_zfmisc_1 _let_1)) (=> (tptp.r1_compts_1 _let_2 C (tptp.k7_borsuk_1 A B D E)) (and (=> (not (= E tptp.k1_xboole_0)) (tptp.r1_compts_1 A (tptp.k14_borsuk_1 _let_3 (tptp.u1_struct_0 A) (tptp.k12_borsuk_1 A B) C) D)) (=> (not (= D tptp.k1_xboole_0)) (tptp.r1_compts_1 B (tptp.k14_borsuk_1 _let_3 _let_1 (tptp.k13_borsuk_1 A B) C) E))))))))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (tptp.v2_pre_topc B) (tptp.l1_pre_topc B)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (not (and (tptp.r1_compts_1 A C D) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (not (and (tptp.r1_tarski E C) (tptp.r1_compts_1 A E D) (forall ((F $$unsorted)) (not (and (tptp.r2_hidden F E) (tptp.r1_xboole_0 F D)))))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_pre_topc B) (tptp.l1_pre_topc B)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 (tptp.k6_borsuk_1 A B)))) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 _let_1))) (not (and (tptp.v1_finset_1 C) (tptp.r1_tarski C (tptp.k14_borsuk_1 _let_1 (tptp.u1_struct_0 A) (tptp.k12_borsuk_1 A B) D)) (forall ((E $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 (tptp.k6_borsuk_1 A B)))) (=> (tptp.m1_subset_1 E (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 _let_1))) (not (and (tptp.r1_tarski E D) (tptp.v1_finset_1 E) (= C (tptp.k14_borsuk_1 _let_1 (tptp.u1_struct_0 A) (tptp.k12_borsuk_1 A B) E)))))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_pre_topc B) (tptp.l1_pre_topc B)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k7_borsuk_1 A B C D))) (let ((_let_2 (tptp.u1_struct_0 B))) (let ((_let_3 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 (tptp.k6_borsuk_1 A B))))) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 _let_2)) (=> (not (= _let_1 tptp.k1_xboole_0)) (and (= (tptp.k8_funct_2 _let_3 (tptp.k1_pcomps_1 (tptp.u1_struct_0 A)) (tptp.k12_borsuk_1 A B) _let_1) C) (= (tptp.k8_funct_2 _let_3 (tptp.k1_pcomps_1 _let_2) (tptp.k13_borsuk_1 A B) _let_1) D)))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_pre_topc B) (tptp.l1_pre_topc B)) (and (= (tptp.k1_funct_1 (tptp.k12_borsuk_1 A B) tptp.k1_xboole_0) tptp.k1_xboole_0) (= (tptp.k1_funct_1 (tptp.k13_borsuk_1 A B) tptp.k1_xboole_0) tptp.k1_xboole_0)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_pre_topc B) (tptp.l1_pre_topc B)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B))) (=> (tptp.v6_compts_1 D B) (forall ((E $$unsorted)) (=> (tptp.m2_connsp_2 E (tptp.k6_borsuk_1 B A) (tptp.k7_borsuk_1 B A D (tptp.k1_struct_0 A C))) (exists ((F $$unsorted)) (and (tptp.m2_connsp_2 F B D) (exists ((G $$unsorted)) (and (tptp.m1_connsp_2 G A C) (tptp.r1_tarski (tptp.k10_borsuk_1 B A D C F G) E)))))))))))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.l1_struct_0 A) (= (tptp.k15_borsuk_1 A) (tptp.k8_eqrel_1 _let_1 (tptp.k6_partfun1 _let_1)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (not (and (tptp.r2_hidden B (tptp.k15_borsuk_1 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (not (= B (tptp.k1_struct_0 A C))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.m1_eqrel_1 B (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 B)) (= (tptp.r2_hidden (tptp.k3_tarski C) (tptp.u1_pre_topc A)) (tptp.r2_hidden C (tptp.u1_pre_topc (tptp.k16_borsuk_1 A B)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.m1_eqrel_1 B _let_1)) (= (tptp.k17_borsuk_1 A B) (tptp.k2_borsuk_1 _let_1 B))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.m1_eqrel_1 B (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 C _let_1) (tptp.r2_hidden C (tptp.k8_funct_2 _let_1 (tptp.u1_struct_0 (tptp.k16_borsuk_1 A B)) (tptp.k17_borsuk_1 A B) C))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.m1_eqrel_1 B (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 (tptp.k16_borsuk_1 A B))) (exists ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (and (tptp.m1_subset_1 D _let_1) (= (tptp.k8_funct_2 _let_1 (tptp.u1_struct_0 (tptp.k16_borsuk_1 A B)) (tptp.k17_borsuk_1 A B) D) C)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.m1_eqrel_1 B (tptp.u1_struct_0 A))) (= (tptp.k2_relat_1 (tptp.k17_borsuk_1 A B)) (tptp.u1_struct_0 (tptp.k16_borsuk_1 A B))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.m1_pre_topc B A)) (forall ((C $$unsorted)) (=> (and (not (tptp.v1_xboole_0 C)) (tptp.m1_eqrel_1 C (tptp.u1_struct_0 B))) (tptp.r1_tarski C (tptp.k18_borsuk_1 A B C)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.m1_pre_topc B A)) (forall ((C $$unsorted)) (=> (and (not (tptp.v1_xboole_0 C)) (tptp.m1_eqrel_1 C (tptp.u1_struct_0 B))) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (not (and (tptp.r2_hidden D (tptp.k18_borsuk_1 A B C)) (not (tptp.r2_hidden D C)) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.u1_struct_0 A)) (not (and (not (tptp.r2_hidden E (tptp.k2_pre_topc B))) (= D (tptp.k1_struct_0 A E)))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.m1_pre_topc B A)) (forall ((C $$unsorted)) (=> (and (not (tptp.v1_xboole_0 C)) (tptp.m1_eqrel_1 C (tptp.u1_struct_0 B))) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (=> (not (tptp.r2_hidden D (tptp.u1_struct_0 B))) (tptp.r2_hidden (tptp.k1_struct_0 A D) (tptp.k18_borsuk_1 A B C))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.m1_pre_topc B A)) (forall ((C $$unsorted)) (=> (and (not (tptp.v1_xboole_0 C)) (tptp.m1_eqrel_1 C (tptp.u1_struct_0 B))) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k18_borsuk_1 A B C))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 D _let_2) (=> (tptp.r2_hidden D (tptp.u1_struct_0 B)) (= (tptp.k8_funct_2 _let_2 (tptp.u1_struct_0 (tptp.k16_borsuk_1 A _let_1)) (tptp.k17_borsuk_1 A _let_1) D) (tptp.k1_funct_1 (tptp.k17_borsuk_1 B C) D))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.m1_pre_topc B A)) (forall ((C $$unsorted)) (=> (and (not (tptp.v1_xboole_0 C)) (tptp.m1_eqrel_1 C (tptp.u1_struct_0 B))) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k18_borsuk_1 A B C))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 D _let_2) (=> (not (tptp.r2_hidden D (tptp.u1_struct_0 B))) (= (tptp.k8_funct_2 _let_2 (tptp.u1_struct_0 (tptp.k16_borsuk_1 A _let_1)) (tptp.k17_borsuk_1 A _let_1) D) (tptp.k1_struct_0 A D))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.m1_pre_topc B A)) (forall ((C $$unsorted)) (=> (and (not (tptp.v1_xboole_0 C)) (tptp.m1_eqrel_1 C (tptp.u1_struct_0 B))) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (forall ((E $$unsorted)) (let ((_let_1 (tptp.k18_borsuk_1 A B C))) (let ((_let_2 (tptp.k17_borsuk_1 A _let_1))) (let ((_let_3 (tptp.u1_struct_0 (tptp.k16_borsuk_1 A _let_1)))) (let ((_let_4 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 E _let_4) (=> (= (tptp.k8_funct_2 _let_4 _let_3 _let_2 D) (tptp.k8_funct_2 _let_4 _let_3 _let_2 E)) (or (tptp.r2_hidden D (tptp.u1_struct_0 B)) (= D E))))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.m1_pre_topc B A)) (forall ((C $$unsorted)) (=> (and (not (tptp.v1_xboole_0 C)) (tptp.m1_eqrel_1 C (tptp.u1_struct_0 B))) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k18_borsuk_1 A B C))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 D _let_2) (=> (tptp.r2_hidden (tptp.k8_funct_2 _let_2 (tptp.u1_struct_0 (tptp.k16_borsuk_1 A _let_1)) (tptp.k17_borsuk_1 A _let_1) D) (tptp.u1_struct_0 (tptp.k16_borsuk_1 B C))) (tptp.r2_hidden D (tptp.u1_struct_0 B))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.m1_pre_topc B A)) (forall ((C $$unsorted)) (=> (and (not (tptp.v1_xboole_0 C)) (tptp.m1_eqrel_1 C (tptp.u1_struct_0 B))) (forall ((D $$unsorted)) (=> (tptp.r2_hidden D (tptp.u1_struct_0 B)) (tptp.r2_hidden (tptp.k1_funct_1 (tptp.k17_borsuk_1 A (tptp.k18_borsuk_1 A B C)) D) (tptp.u1_struct_0 (tptp.k16_borsuk_1 B C))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.m1_eqrel_1 B (tptp.u1_struct_0 A))) (= (tptp.m1_borsuk_1 B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (tptp.r2_hidden C B) (forall ((D $$unsorted)) (=> (tptp.m2_connsp_2 D A C) (exists ((E $$unsorted)) (and (tptp.m1_subset_1 E (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (tptp.v3_pre_topc E A) (tptp.r1_tarski C E) (tptp.r1_tarski E D) (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (tptp.r2_hidden F B) (or (tptp.r1_xboole_0 F E) (tptp.r1_tarski F E))))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_borsuk_1 B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 (tptp.k16_borsuk_1 A B))) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k16_borsuk_1 A B))) (let ((_let_2 (tptp.k17_borsuk_1 A B))) (=> (tptp.m2_connsp_2 D A (tptp.k5_pre_topc A _let_1 _let_2 (tptp.k1_struct_0 _let_1 C))) (tptp.m1_connsp_2 (tptp.k4_pre_topc A _let_1 _let_2 D) _let_1 C))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (tptp.m1_borsuk_1 (tptp.k15_borsuk_1 A) A))) (forall ((A $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_pre_topc B A) (= (tptp.v1_borsuk_1 B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (= C (tptp.u1_struct_0 B)) (tptp.v4_pre_topc C A))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_borsuk_1 B A) (= (tptp.v2_borsuk_1 B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (tptp.r2_hidden C B) (tptp.v6_compts_1 C A))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (= (= A tptp.k22_borsuk_1) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k5_pcomps_1 tptp.k8_metric_1))) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 _let_1))) (=> (= B (tptp.k1_rcomp_1 tptp.np__0 tptp.np__1)) (= A (tptp.k3_pre_topc _let_1 B))))))))) (= _let_4 (tptp.k1_rcomp_1 tptp.np__0 tptp.np__1)) (= tptp.k23_borsuk_1 tptp.np__0) (= tptp.k24_borsuk_1 tptp.np__1) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.m1_pre_topc B A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.m2_relset_1 C _let_2 _let_1)) (= (tptp.v3_borsuk_1 C A B) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 D _let_2) (=> (tptp.r2_hidden D _let_1) (= (tptp.k8_funct_2 _let_2 _let_1 C D) D))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.m1_pre_topc B A)) (= (tptp.r1_borsuk_1 A B) (exists ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.v5_pre_topc C A B) (tptp.m2_relset_1 C _let_2 _let_1) (tptp.v3_borsuk_1 C A B)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.m1_pre_topc B A)) (= (tptp.r2_borsuk_1 A B) (exists ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.k6_borsuk_1 A tptp.k22_borsuk_1))) (let ((_let_3 (tptp.u1_struct_0 _let_2))) (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_3 _let_1) (tptp.v5_pre_topc C _let_2 A) (tptp.m2_relset_1 C _let_3 _let_1) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (let ((_let_3 (tptp.u1_struct_0 (tptp.k6_borsuk_1 A tptp.k22_borsuk_1)))) (=> (tptp.m1_subset_1 D _let_2) (and (= (tptp.k8_funct_2 _let_3 _let_2 C (tptp.k8_borsuk_1 A tptp.k22_borsuk_1 D tptp.k23_borsuk_1)) D) (tptp.r2_hidden (tptp.k8_funct_2 _let_3 _let_2 C (tptp.k8_borsuk_1 A tptp.k22_borsuk_1 D tptp.k24_borsuk_1)) _let_1) (=> (tptp.r2_hidden D _let_1) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.u1_struct_0 tptp.k22_borsuk_1)) (= (tptp.k8_funct_2 (tptp.u1_struct_0 (tptp.k6_borsuk_1 A tptp.k22_borsuk_1)) (tptp.u1_struct_0 A) C (tptp.k8_borsuk_1 A tptp.k22_borsuk_1 D E)) D)))))))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v1_borsuk_1 B A) (tptp.m1_pre_topc B A)) (forall ((C $$unsorted)) (=> (and (tptp.v2_borsuk_1 C B) (tptp.m1_borsuk_1 C B)) (=> (tptp.r1_borsuk_1 A B) (tptp.r1_borsuk_1 (tptp.k16_borsuk_1 A (tptp.k20_borsuk_1 A B C)) (tptp.k21_borsuk_1 A B C))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v1_borsuk_1 B A) (tptp.m1_pre_topc B A)) (forall ((C $$unsorted)) (=> (and (tptp.v2_borsuk_1 C B) (tptp.m1_borsuk_1 C B)) (=> (tptp.r2_borsuk_1 A B) (tptp.r2_borsuk_1 (tptp.k16_borsuk_1 A (tptp.k20_borsuk_1 A B C)) (tptp.k21_borsuk_1 A B C))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_borsuk_1 B A) (and (not (tptp.v1_xboole_0 B)) (tptp.m1_eqrel_1 B (tptp.u1_struct_0 A))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (exists ((B $$unsorted)) (tptp.m1_borsuk_1 B A)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k1_borsuk_1 A B C))) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.m1_subset_1 C A)) (and (tptp.v1_funct_1 _let_1) (tptp.v1_funct_2 _let_1 B A) (tptp.m2_relset_1 _let_1 B A))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.m1_subset_1 C A)) (= (tptp.k1_borsuk_1 A B C) (tptp.k2_funcop_1 B C)))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k2_borsuk_1 A B))) (=> (and (not (tptp.v1_xboole_0 A)) (not (tptp.v1_xboole_0 B)) (tptp.m1_eqrel_1 B A)) (and (tptp.v1_funct_1 _let_1) (tptp.v1_funct_2 _let_1 A B) (tptp.m2_relset_1 _let_1 A B))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (let ((_let_3 (tptp.k3_borsuk_1 A B C))) (=> (and (tptp.l1_struct_0 A) (not (tptp.v3_struct_0 B)) (tptp.l1_struct_0 B) (tptp.m1_subset_1 C _let_1)) (and (tptp.v1_funct_1 _let_3) (tptp.v1_funct_2 _let_3 _let_2 _let_1) (tptp.m2_relset_1 _let_3 _let_2 _let_1))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 C))) (let ((_let_2 (tptp.u1_struct_0 A))) (let ((_let_3 (tptp.k4_borsuk_1 A B C D E))) (let ((_let_4 (tptp.u1_struct_0 B))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A) (not (tptp.v3_struct_0 B)) (tptp.v2_pre_topc B) (tptp.l1_pre_topc B) (not (tptp.v3_struct_0 C)) (tptp.v2_pre_topc C) (tptp.l1_pre_topc C) (tptp.v1_funct_1 D) (tptp.v1_funct_2 D _let_2 _let_4) (tptp.v5_pre_topc D A B) (tptp.m1_relset_1 D _let_2 _let_4) (tptp.v1_funct_1 E) (tptp.v1_funct_2 E _let_4 _let_1) (tptp.v5_pre_topc E B C) (tptp.m1_relset_1 E _let_4 _let_1)) (and (tptp.v1_funct_1 _let_3) (tptp.v1_funct_2 _let_3 _let_2 _let_1) (tptp.v5_pre_topc _let_3 A C) (tptp.m2_relset_1 _let_3 _let_2 _let_1)))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 C))) (let ((_let_2 (tptp.u1_struct_0 B))) (let ((_let_3 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A) (not (tptp.v3_struct_0 B)) (tptp.v2_pre_topc B) (tptp.l1_pre_topc B) (not (tptp.v3_struct_0 C)) (tptp.v2_pre_topc C) (tptp.l1_pre_topc C) (tptp.v1_funct_1 D) (tptp.v1_funct_2 D _let_3 _let_2) (tptp.v5_pre_topc D A B) (tptp.m1_relset_1 D _let_3 _let_2) (tptp.v1_funct_1 E) (tptp.v1_funct_2 E _let_2 _let_1) (tptp.v5_pre_topc E B C) (tptp.m1_relset_1 E _let_2 _let_1)) (= (tptp.k4_borsuk_1 A B C D E) (tptp.k5_relat_1 D E))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A) (not (tptp.v3_struct_0 B)) (tptp.v2_pre_topc B) (tptp.l1_pre_topc B) (tptp.m1_subset_1 C _let_1) (tptp.v1_funct_1 D) (tptp.v1_funct_2 D _let_2 _let_1) (tptp.v5_pre_topc D A B) (tptp.m1_relset_1 D _let_2 _let_1) (tptp.m1_connsp_2 E B C)) (tptp.m2_connsp_2 (tptp.k5_borsuk_1 A B C D E) A (tptp.k5_pre_topc A B D (tptp.k1_struct_0 B C))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A) (not (tptp.v3_struct_0 B)) (tptp.v2_pre_topc B) (tptp.l1_pre_topc B) (tptp.m1_subset_1 C _let_1) (tptp.v1_funct_1 D) (tptp.v1_funct_2 D _let_2 _let_1) (tptp.v5_pre_topc D A B) (tptp.m1_relset_1 D _let_2 _let_1) (tptp.m1_connsp_2 E B C)) (= (tptp.k5_borsuk_1 A B C D E) (tptp.k10_relat_1 D E)))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k6_borsuk_1 A B))) (=> (and (tptp.v2_pre_topc A) (tptp.l1_pre_topc A) (tptp.v2_pre_topc B) (tptp.l1_pre_topc B)) (and (tptp.v1_pre_topc _let_1) (tptp.v2_pre_topc _let_1) (tptp.l1_pre_topc _let_1))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.l1_pre_topc A) (tptp.v2_pre_topc B) (tptp.l1_pre_topc B) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B)))) (tptp.m1_subset_1 (tptp.k7_borsuk_1 A B C D) (tptp.k1_zfmisc_1 (tptp.u1_struct_0 (tptp.k6_borsuk_1 A B)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.l1_pre_topc A) (tptp.v2_pre_topc B) (tptp.l1_pre_topc B) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B)))) (= (tptp.k7_borsuk_1 A B C D) (tptp.k2_zfmisc_1 C D)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A) (not (tptp.v3_struct_0 B)) (tptp.v2_pre_topc B) (tptp.l1_pre_topc B) (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (tptp.m1_subset_1 D (tptp.u1_struct_0 B))) (tptp.m1_subset_1 (tptp.k8_borsuk_1 A B C D) (tptp.u1_struct_0 (tptp.k6_borsuk_1 A B))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A) (not (tptp.v3_struct_0 B)) (tptp.v2_pre_topc B) (tptp.l1_pre_topc B) (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (tptp.m1_subset_1 D (tptp.u1_struct_0 B))) (= (tptp.k8_borsuk_1 A B C D) (tptp.k4_tarski C D)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A) (not (tptp.v3_struct_0 B)) (tptp.v2_pre_topc B) (tptp.l1_pre_topc B) (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (tptp.m1_subset_1 D (tptp.u1_struct_0 B)) (tptp.m1_connsp_2 E A C) (tptp.m1_connsp_2 F B D)) (tptp.m1_connsp_2 (tptp.k9_borsuk_1 A B C D E F) (tptp.k6_borsuk_1 A B) (tptp.k8_borsuk_1 A B C D)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A) (not (tptp.v3_struct_0 B)) (tptp.v2_pre_topc B) (tptp.l1_pre_topc B) (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (tptp.m1_subset_1 D (tptp.u1_struct_0 B)) (tptp.m1_connsp_2 E A C) (tptp.m1_connsp_2 F B D)) (= (tptp.k9_borsuk_1 A B C D E F) (tptp.k2_zfmisc_1 E F)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A) (not (tptp.v3_struct_0 B)) (tptp.v2_pre_topc B) (tptp.l1_pre_topc B) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (tptp.m1_subset_1 D (tptp.u1_struct_0 B)) (tptp.m2_connsp_2 E A C) (tptp.m1_connsp_2 F B D)) (tptp.m2_connsp_2 (tptp.k10_borsuk_1 A B C D E F) (tptp.k6_borsuk_1 A B) (tptp.k7_borsuk_1 A B C (tptp.k1_struct_0 B D))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A) (not (tptp.v3_struct_0 B)) (tptp.v2_pre_topc B) (tptp.l1_pre_topc B) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (tptp.m1_subset_1 D (tptp.u1_struct_0 B)) (tptp.m2_connsp_2 E A C) (tptp.m1_connsp_2 F B D)) (= (tptp.k10_borsuk_1 A B C D E F) (tptp.k2_zfmisc_1 E F)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 (tptp.k6_borsuk_1 A B))))) (=> (and (tptp.v2_pre_topc A) (tptp.l1_pre_topc A) (tptp.v2_pre_topc B) (tptp.l1_pre_topc B) (tptp.m1_subset_1 C _let_1)) (tptp.m1_subset_1 (tptp.k11_borsuk_1 A B C) (tptp.k1_zfmisc_1 _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k1_pcomps_1 (tptp.u1_struct_0 A)))) (let ((_let_2 (tptp.k1_pcomps_1 (tptp.u1_struct_0 (tptp.k6_borsuk_1 A B))))) (let ((_let_3 (tptp.k12_borsuk_1 A B))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A) (not (tptp.v3_struct_0 B)) (tptp.v2_pre_topc B) (tptp.l1_pre_topc B)) (and (tptp.v1_funct_1 _let_3) (tptp.v1_funct_2 _let_3 _let_2 _let_1) (tptp.m2_relset_1 _let_3 _let_2 _let_1))))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k1_pcomps_1 (tptp.u1_struct_0 B)))) (let ((_let_2 (tptp.k1_pcomps_1 (tptp.u1_struct_0 (tptp.k6_borsuk_1 A B))))) (let ((_let_3 (tptp.k13_borsuk_1 A B))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A) (not (tptp.v3_struct_0 B)) (tptp.v2_pre_topc B) (tptp.l1_pre_topc B)) (and (tptp.v1_funct_1 _let_3) (tptp.v1_funct_2 _let_3 _let_2 _let_1) (tptp.m2_relset_1 _let_3 _let_2 _let_1))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k1_pcomps_1 B))) (let ((_let_2 (tptp.k1_pcomps_1 A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.m1_relset_1 C _let_2 _let_1) (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 A)))) (tptp.m1_subset_1 (tptp.k14_borsuk_1 A B C D) (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 B))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k1_pcomps_1 B))) (let ((_let_2 (tptp.k1_pcomps_1 A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.m1_relset_1 C _let_2 _let_1) (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 A)))) (= (tptp.k14_borsuk_1 A B C D) (tptp.k9_relat_1 C D)))))) (forall ((A $$unsorted)) (=> (tptp.l1_struct_0 A) (tptp.m1_eqrel_1 (tptp.k15_borsuk_1 A) (tptp.u1_struct_0 A)))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k16_borsuk_1 A B))) (=> (and (tptp.v2_pre_topc A) (tptp.l1_pre_topc A) (tptp.m1_eqrel_1 B (tptp.u1_struct_0 A))) (and (tptp.v1_pre_topc _let_1) (tptp.v2_pre_topc _let_1) (tptp.l1_pre_topc _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k16_borsuk_1 A B))) (let ((_let_2 (tptp.u1_struct_0 _let_1))) (let ((_let_3 (tptp.u1_struct_0 A))) (let ((_let_4 (tptp.k17_borsuk_1 A B))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A) (not (tptp.v1_xboole_0 B)) (tptp.m1_eqrel_1 B _let_3)) (and (tptp.v1_funct_1 _let_4) (tptp.v1_funct_2 _let_4 _let_3 _let_2) (tptp.v5_pre_topc _let_4 A _let_1) (tptp.m2_relset_1 _let_4 _let_3 _let_2)))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k18_borsuk_1 A B C))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A) (not (tptp.v3_struct_0 B)) (tptp.m1_pre_topc B A) (not (tptp.v1_xboole_0 C)) (tptp.m1_eqrel_1 C (tptp.u1_struct_0 B))) (and (not (tptp.v1_xboole_0 _let_1)) (tptp.m1_eqrel_1 _let_1 (tptp.u1_struct_0 A)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A) (not (tptp.v3_struct_0 B)) (tptp.v1_borsuk_1 B A) (tptp.m1_pre_topc B A) (tptp.m1_borsuk_1 C B)) (tptp.m1_borsuk_1 (tptp.k19_borsuk_1 A B C) A))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A) (not (tptp.v3_struct_0 B)) (tptp.v1_borsuk_1 B A) (tptp.m1_pre_topc B A) (tptp.m1_borsuk_1 C B)) (= (tptp.k19_borsuk_1 A B C) (tptp.k18_borsuk_1 A B C)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k20_borsuk_1 A B C))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A) (not (tptp.v3_struct_0 B)) (tptp.v1_borsuk_1 B A) (tptp.m1_pre_topc B A) (tptp.v2_borsuk_1 C B) (tptp.m1_borsuk_1 C B)) (and (tptp.v2_borsuk_1 _let_1 A) (tptp.m1_borsuk_1 _let_1 A))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A) (not (tptp.v3_struct_0 B)) (tptp.v1_borsuk_1 B A) (tptp.m1_pre_topc B A) (tptp.v2_borsuk_1 C B) (tptp.m1_borsuk_1 C B)) (= (tptp.k20_borsuk_1 A B C) (tptp.k18_borsuk_1 A B C)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k16_borsuk_1 A (tptp.k20_borsuk_1 A B C)))) (let ((_let_2 (tptp.k21_borsuk_1 A B C))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A) (not (tptp.v3_struct_0 B)) (tptp.v1_borsuk_1 B A) (tptp.m1_pre_topc B A) (tptp.v2_borsuk_1 C B) (tptp.m1_borsuk_1 C B)) (and (tptp.v1_pre_topc _let_2) (tptp.v1_borsuk_1 _let_2 _let_1) (tptp.m1_pre_topc _let_2 _let_1)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A) (not (tptp.v3_struct_0 B)) (tptp.v1_borsuk_1 B A) (tptp.m1_pre_topc B A) (tptp.v2_borsuk_1 C B) (tptp.m1_borsuk_1 C B)) (= (tptp.k21_borsuk_1 A B C) (tptp.k16_borsuk_1 B C)))) (tptp.l1_pre_topc tptp.k22_borsuk_1) (tptp.m1_subset_1 tptp.k23_borsuk_1 _let_4) (tptp.m1_subset_1 tptp.k24_borsuk_1 _let_4) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 A))) (= (tptp.k3_tarski (tptp.k5_setfam_1 A B)) (tptp.k3_tarski (tptp.a_2_0_borsuk_1 A B))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (tptp.v2_pre_topc B) (tptp.l1_pre_topc B)) (forall ((C $$unsorted)) (=> (and (tptp.v1_pre_topc C) (tptp.v2_pre_topc C) (tptp.l1_pre_topc C)) (= (= C (tptp.k6_borsuk_1 A B)) (and (= (tptp.u1_struct_0 C) (tptp.k2_zfmisc_1 (tptp.u1_struct_0 A) (tptp.u1_struct_0 B))) (= (tptp.u1_pre_topc C) (tptp.a_3_0_borsuk_1 A B C)))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (tptp.v2_pre_topc B) (tptp.l1_pre_topc B)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 (tptp.k6_borsuk_1 A B)))) (= (tptp.k11_borsuk_1 A B C) (tptp.a_3_1_borsuk_1 A B C)))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_eqrel_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (and (tptp.v1_pre_topc C) (tptp.v2_pre_topc C) (tptp.l1_pre_topc C)) (= (= C (tptp.k16_borsuk_1 A B)) (and (= (tptp.u1_struct_0 C) B) (= (tptp.u1_pre_topc C) (tptp.a_2_2_borsuk_1 A B)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.m1_pre_topc B A)) (forall ((C $$unsorted)) (=> (and (not (tptp.v1_xboole_0 C)) (tptp.m1_eqrel_1 C (tptp.u1_struct_0 B))) (= (tptp.k18_borsuk_1 A B C) (tptp.k2_xboole_0 C (tptp.a_2_3_borsuk_1 A B))))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 B))) (= (tptp.r2_hidden A (tptp.a_2_0_borsuk_1 B C)) (exists ((D $$unsorted)) (and (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 B)) (= A (tptp.k3_tarski D)) (tptp.r2_hidden D C)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.v2_pre_topc B) (tptp.l1_pre_topc B) (tptp.v2_pre_topc C) (tptp.l1_pre_topc C) (tptp.v1_pre_topc D) (tptp.v2_pre_topc D) (tptp.l1_pre_topc D)) (= (tptp.r2_hidden A (tptp.a_3_0_borsuk_1 B C D)) (exists ((E $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 D))) (and (tptp.m1_subset_1 E (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 _let_1))) (= A (tptp.k5_setfam_1 _let_1 E)) (tptp.r1_tarski E (tptp.a_2_1_borsuk_1 B C)))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v2_pre_topc B) (tptp.l1_pre_topc B) (tptp.v2_pre_topc C) (tptp.l1_pre_topc C)) (= (tptp.r2_hidden A (tptp.a_2_1_borsuk_1 B C)) (exists ((D $$unsorted) (E $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 C))) (let ((_let_2 (tptp.u1_struct_0 B))) (and (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 _let_2)) (tptp.m1_subset_1 E (tptp.k1_zfmisc_1 _let_1)) (= A (tptp.k12_mcart_1 _let_2 _let_1 D E)) (tptp.r2_hidden D (tptp.u1_pre_topc B)) (tptp.r2_hidden E (tptp.u1_pre_topc C))))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.v2_pre_topc B) (tptp.l1_pre_topc B) (tptp.v2_pre_topc C) (tptp.l1_pre_topc C) (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 (tptp.k6_borsuk_1 B C))))) (= (tptp.r2_hidden A (tptp.a_3_1_borsuk_1 B C D)) (exists ((E $$unsorted) (F $$unsorted)) (let ((_let_1 (tptp.k7_borsuk_1 B C E F))) (and (tptp.m1_subset_1 E (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B))) (tptp.m1_subset_1 F (tptp.k1_zfmisc_1 (tptp.u1_struct_0 C))) (= A _let_1) (tptp.r1_tarski _let_1 D) (tptp.v3_pre_topc E B) (tptp.v3_pre_topc F C))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v2_pre_topc B) (tptp.l1_pre_topc B) (tptp.m1_eqrel_1 C (tptp.u1_struct_0 B))) (= (tptp.r2_hidden A (tptp.a_2_2_borsuk_1 B C)) (exists ((D $$unsorted)) (and (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 C)) (= A D) (tptp.r2_hidden (tptp.k3_tarski D) (tptp.u1_pre_topc B))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_pre_topc B) (tptp.l1_pre_topc B) (not (tptp.v3_struct_0 C)) (tptp.m1_pre_topc C B)) (= (tptp.r2_hidden A (tptp.a_2_3_borsuk_1 B C)) (exists ((D $$unsorted)) (and (tptp.m1_subset_1 D (tptp.u1_struct_0 B)) (= A (tptp.k1_struct_0 B D)) (not (tptp.r2_hidden D (tptp.u1_struct_0 C)))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (exists ((B $$unsorted)) (and (tptp.m1_pre_topc B A) (tptp.v1_pre_topc B) (tptp.v2_pre_topc B) (tptp.v1_tsep_1 B A))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (exists ((B $$unsorted)) (and (tptp.m1_pre_topc B A) (not (tptp.v3_struct_0 B)) (tptp.v1_pre_topc B) (tptp.v2_pre_topc B) (tptp.v1_tsep_1 B A))))) (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (forall ((B $$unsorted)) (=> (tptp.m1_pre_topc B A) (tptp.m1_subset_1 (tptp.u1_struct_0 B) (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))))))) (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (tptp.m1_pre_topc A A))) (forall ((A $$unsorted)) (=> (and (tptp.v1_pre_topc A) (tptp.l1_pre_topc A)) (= (tptp.k3_pre_topc A (tptp.k2_pre_topc A)) A))) (forall ((A $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_pre_topc B A) (forall ((C $$unsorted)) (=> (tptp.m1_pre_topc C A) (= (tptp.r1_tarski (tptp.u1_struct_0 B) (tptp.u1_struct_0 C)) (tptp.m1_pre_topc B C)))))))) (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (forall ((B $$unsorted)) (=> (tptp.m1_pre_topc B A) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 C))) (let ((_let_2 (tptp.u1_struct_0 B))) (=> (tptp.m1_pre_topc C A) (=> (= _let_2 _let_1) (= (tptp.g1_pre_topc _let_2 (tptp.u1_pre_topc B)) (tptp.g1_pre_topc _let_1 (tptp.u1_pre_topc C)))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_pre_topc B A) (forall ((C $$unsorted)) (=> (tptp.m1_pre_topc C A) (=> (and (tptp.m1_pre_topc B C) (tptp.m1_pre_topc C B)) (= (tptp.g1_pre_topc (tptp.u1_struct_0 B) (tptp.u1_pre_topc B)) (tptp.g1_pre_topc (tptp.u1_struct_0 C) (tptp.u1_pre_topc C)))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_pre_topc B A) (forall ((C $$unsorted)) (=> (tptp.m1_pre_topc C B) (tptp.m1_pre_topc C A))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_pre_topc B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((E $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (=> (tptp.m1_subset_1 E (tptp.k1_zfmisc_1 _let_1)) (=> (and (tptp.v4_pre_topc C A) (tptp.r1_tarski C _let_1) (tptp.r1_tarski D C) (= D E)) (= (tptp.v4_pre_topc E B) (tptp.v4_pre_topc D A)))))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_pre_topc B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((E $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (=> (tptp.m1_subset_1 E (tptp.k1_zfmisc_1 _let_1)) (=> (and (tptp.v3_pre_topc C A) (tptp.r1_tarski C _let_1) (tptp.r1_tarski D C) (= D E)) (= (tptp.v3_pre_topc E B) (tptp.v3_pre_topc D A)))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (exists ((C $$unsorted)) (and (not (tptp.v3_struct_0 C)) (tptp.v1_pre_topc C) (tptp.m1_pre_topc C A) (= B (tptp.u1_struct_0 C)))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_pre_topc B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (= C (tptp.u1_struct_0 B)) (= (and (tptp.v1_borsuk_1 B A) (tptp.m1_pre_topc B A)) (tptp.v4_pre_topc C A))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_borsuk_1 B A) (tptp.m1_pre_topc B A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B))) (=> (= C D) (= (tptp.v4_pre_topc D B) (tptp.v4_pre_topc C A))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_borsuk_1 B A) (tptp.m1_pre_topc B A)) (forall ((C $$unsorted)) (=> (and (tptp.v1_borsuk_1 C B) (tptp.m1_pre_topc C B)) (and (tptp.v1_borsuk_1 C A) (tptp.m1_pre_topc C A)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v1_borsuk_1 B A) (tptp.m1_pre_topc B A)) (forall ((C $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.m1_pre_topc C A)) (=> (tptp.r1_tarski (tptp.u1_struct_0 B) (tptp.u1_struct_0 C)) (and (not (tptp.v3_struct_0 B)) (tptp.v1_borsuk_1 B C) (tptp.m1_pre_topc B C))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (not (and (tptp.v4_pre_topc B A) (forall ((C $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.v1_pre_topc C) (tptp.v1_borsuk_1 C A) (tptp.m1_pre_topc C A)) (not (= B (tptp.u1_struct_0 C))))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (forall ((B $$unsorted)) (=> (tptp.m1_pre_topc B A) (= (tptp.v1_tsep_1 B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (= C (tptp.u1_struct_0 B)) (tptp.v3_pre_topc C A))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_pre_topc B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (= C (tptp.u1_struct_0 B)) (= (and (tptp.v1_tsep_1 B A) (tptp.m1_pre_topc B A)) (tptp.v3_pre_topc C A))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_tsep_1 B A) (tptp.m1_pre_topc B A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B))) (=> (= C D) (= (tptp.v3_pre_topc D B) (tptp.v3_pre_topc C A))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_tsep_1 B A) (tptp.m1_pre_topc B A)) (forall ((C $$unsorted)) (=> (and (tptp.v1_tsep_1 C B) (tptp.m1_pre_topc C B)) (and (tptp.v1_tsep_1 C A) (tptp.m1_pre_topc C A)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_tsep_1 B A) (tptp.m1_pre_topc B A)) (forall ((C $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.m1_pre_topc C A)) (=> (tptp.r1_tarski (tptp.u1_struct_0 B) (tptp.u1_struct_0 C)) (and (tptp.v1_tsep_1 B C) (tptp.m1_pre_topc B C))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (not (and (tptp.v3_pre_topc B A) (forall ((C $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.v1_pre_topc C) (tptp.v1_tsep_1 C A) (tptp.m1_pre_topc C A)) (not (= B (tptp.u1_struct_0 C))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.m1_pre_topc B A)) (forall ((C $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.m1_pre_topc C A)) (forall ((D $$unsorted)) (=> (and (not (tptp.v3_struct_0 D)) (tptp.v1_pre_topc D) (tptp.m1_pre_topc D A)) (= (= D (tptp.k1_tsep_1 A B C)) (= (tptp.u1_struct_0 D) (tptp.k2_xboole_0 (tptp.u1_struct_0 B) (tptp.u1_struct_0 C)))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.m1_pre_topc B A)) (forall ((C $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.m1_pre_topc C A)) (forall ((D $$unsorted)) (=> (and (not (tptp.v3_struct_0 D)) (tptp.m1_pre_topc D A)) (= (tptp.k1_tsep_1 A (tptp.k1_tsep_1 A B C) D) (tptp.k1_tsep_1 A B (tptp.k1_tsep_1 A C D))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.m1_pre_topc B A)) (forall ((C $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.m1_pre_topc C A)) (tptp.m1_pre_topc B (tptp.k1_tsep_1 A B C)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.m1_pre_topc B A)) (forall ((C $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.m1_pre_topc C A)) (= (tptp.m1_pre_topc B C) (= (tptp.k1_tsep_1 A B C) (tptp.g1_pre_topc (tptp.u1_struct_0 C) (tptp.u1_pre_topc C)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v1_borsuk_1 B A) (tptp.m1_pre_topc B A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k1_tsep_1 A B C))) (=> (and (not (tptp.v3_struct_0 C)) (tptp.v1_borsuk_1 C A) (tptp.m1_pre_topc C A)) (and (tptp.v1_borsuk_1 _let_1 A) (tptp.m1_pre_topc _let_1 A))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v1_tsep_1 B A) (tptp.m1_pre_topc B A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k1_tsep_1 A B C))) (=> (and (not (tptp.v3_struct_0 C)) (tptp.v1_tsep_1 C A) (tptp.m1_pre_topc C A)) (and (tptp.v1_tsep_1 _let_1 A) (tptp.m1_pre_topc _let_1 A))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (forall ((B $$unsorted)) (=> (tptp.m1_pre_topc B A) (forall ((C $$unsorted)) (=> (tptp.m1_pre_topc C A) (= (tptp.r1_tsep_1 A B C) (tptp.r1_xboole_0 (tptp.u1_struct_0 B) (tptp.u1_struct_0 C))))))))) true (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.m1_pre_topc B A)) (forall ((C $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.m1_pre_topc C A)) (=> (not (tptp.r1_tsep_1 A B C)) (forall ((D $$unsorted)) (=> (and (not (tptp.v3_struct_0 D)) (tptp.v1_pre_topc D) (tptp.m1_pre_topc D A)) (= (= D (tptp.k2_tsep_1 A B C)) (= (tptp.u1_struct_0 D) (tptp.k3_xboole_0 (tptp.u1_struct_0 B) (tptp.u1_struct_0 C))))))))))))) true true true (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.m1_pre_topc B A)) (forall ((C $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.m1_pre_topc C A)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k2_tsep_1 A C D))) (let ((_let_2 (tptp.k2_tsep_1 A B C))) (let ((_let_3 (not (tptp.r1_tsep_1 A B C)))) (=> (and (not (tptp.v3_struct_0 D)) (tptp.m1_pre_topc D A)) (and (=> _let_3 (= _let_2 (tptp.k2_tsep_1 A C B))) (=> (or (and _let_3 (not (tptp.r1_tsep_1 A _let_2 D))) (and (not (tptp.r1_tsep_1 A C D)) (not (tptp.r1_tsep_1 A B _let_1)))) (= (tptp.k2_tsep_1 A _let_2 D) (tptp.k2_tsep_1 A B _let_1))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.m1_pre_topc B A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k2_tsep_1 A B C))) (=> (and (not (tptp.v3_struct_0 C)) (tptp.m1_pre_topc C A)) (=> (not (tptp.r1_tsep_1 A B C)) (and (tptp.m1_pre_topc _let_1 B) (tptp.m1_pre_topc _let_1 C)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.m1_pre_topc B A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.m1_pre_topc C B))) (let ((_let_2 (tptp.k2_tsep_1 A B C))) (let ((_let_3 (= _let_2 (tptp.g1_pre_topc (tptp.u1_struct_0 C) (tptp.u1_pre_topc C))))) (let ((_let_4 (tptp.m1_pre_topc B C))) (let ((_let_5 (= _let_2 (tptp.g1_pre_topc (tptp.u1_struct_0 B) (tptp.u1_pre_topc B))))) (=> (and (not (tptp.v3_struct_0 C)) (tptp.m1_pre_topc C A)) (=> (not (tptp.r1_tsep_1 A B C)) (and (=> _let_4 _let_5) (=> _let_5 _let_4) (=> _let_1 _let_3) (=> _let_3 _let_1)))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v1_borsuk_1 B A) (tptp.m1_pre_topc B A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k2_tsep_1 A B C))) (=> (and (not (tptp.v3_struct_0 C)) (tptp.v1_borsuk_1 C A) (tptp.m1_pre_topc C A)) (=> (not (tptp.r1_tsep_1 A B C)) (and (tptp.v1_borsuk_1 _let_1 A) (tptp.m1_pre_topc _let_1 A)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v1_tsep_1 B A) (tptp.m1_pre_topc B A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k2_tsep_1 A B C))) (=> (and (not (tptp.v3_struct_0 C)) (tptp.v1_tsep_1 C A) (tptp.m1_pre_topc C A)) (=> (not (tptp.r1_tsep_1 A B C)) (and (tptp.v1_tsep_1 _let_1 A) (tptp.m1_pre_topc _let_1 A)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.m1_pre_topc B A)) (forall ((C $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.m1_pre_topc C A)) (=> (not (tptp.r1_tsep_1 A B C)) (tptp.m1_pre_topc (tptp.k2_tsep_1 A B C) (tptp.k1_tsep_1 A B C))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.m1_pre_topc B A)) (forall ((C $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.m1_pre_topc C A)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k1_tsep_1 A B C))) (=> (and (not (tptp.v3_struct_0 D)) (tptp.m1_pre_topc D A)) (not (and (not (tptp.r1_tsep_1 A B D)) (not (tptp.r1_tsep_1 A D C)) (not (and (= (tptp.k2_tsep_1 A _let_1 D) (tptp.k1_tsep_1 A (tptp.k2_tsep_1 A B D) (tptp.k2_tsep_1 A C D))) (= (tptp.k2_tsep_1 A D _let_1) (tptp.k1_tsep_1 A (tptp.k2_tsep_1 A D B) (tptp.k2_tsep_1 A D C)))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.m1_pre_topc B A)) (forall ((C $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.m1_pre_topc C A)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k2_tsep_1 A B C))) (=> (and (not (tptp.v3_struct_0 D)) (tptp.m1_pre_topc D A)) (=> (not (tptp.r1_tsep_1 A B C)) (and (= (tptp.k1_tsep_1 A _let_1 D) (tptp.k2_tsep_1 A (tptp.k1_tsep_1 A B D) (tptp.k1_tsep_1 A C D))) (= (tptp.k1_tsep_1 A D _let_1) (tptp.k2_tsep_1 A (tptp.k1_tsep_1 A D B) (tptp.k1_tsep_1 A D C)))))))))))))) true (forall ((A $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (and (tptp.v4_pre_topc B A) (tptp.v4_pre_topc C A)) (= (tptp.r1_xboole_0 B C) (tptp.r1_connsp_1 A B C))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 _let_1)) (=> (and (tptp.v4_pre_topc (tptp.k4_subset_1 _let_1 B C) A) (tptp.r1_connsp_1 A B C)) (and (tptp.v4_pre_topc B A) (tptp.v4_pre_topc C A)))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (and (tptp.r1_xboole_0 B C) (tptp.v3_pre_topc B A)) (tptp.r1_xboole_0 B (tptp.k6_pre_topc A C))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (and (tptp.v3_pre_topc B A) (tptp.v3_pre_topc C A)) (= (tptp.r1_xboole_0 B C) (tptp.r1_connsp_1 A B C))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 _let_1)) (=> (and (tptp.v3_pre_topc (tptp.k4_subset_1 _let_1 B C) A) (tptp.r1_connsp_1 A B C)) (and (tptp.v3_pre_topc B A) (tptp.v3_pre_topc C A)))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 _let_1)) (=> (tptp.r1_connsp_1 A B C) (tptp.r1_connsp_1 A (tptp.k5_subset_1 _let_1 B D) (tptp.k5_subset_1 _let_1 C D)))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 _let_1)) (=> (or (tptp.r1_connsp_1 A B D) (tptp.r1_connsp_1 A C D)) (tptp.r1_connsp_1 A (tptp.k5_subset_1 _let_1 B C) D))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 _let_1)) (= (and (tptp.r1_connsp_1 A B D) (tptp.r1_connsp_1 A C D)) (tptp.r1_connsp_1 A (tptp.k4_subset_1 _let_1 B C) D))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (tptp.r1_connsp_1 A B C) (exists ((D $$unsorted)) (and (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (exists ((E $$unsorted)) (and (tptp.m1_subset_1 E (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (tptp.r1_tarski B D) (tptp.r1_tarski C E) (tptp.r1_xboole_0 D C) (tptp.r1_xboole_0 E B) (tptp.v4_pre_topc D A) (tptp.v4_pre_topc E A)))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (tptp.r1_connsp_1 A B C) (exists ((D $$unsorted)) (and (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (exists ((E $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (and (tptp.m1_subset_1 E (tptp.k1_zfmisc_1 _let_1)) (tptp.r1_tarski B D) (tptp.r1_tarski C E) (tptp.r1_xboole_0 (tptp.k5_subset_1 _let_1 D E) (tptp.k4_subset_1 _let_1 B C)) (tptp.v4_pre_topc D A) (tptp.v4_pre_topc E A))))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (tptp.r1_connsp_1 A B C) (exists ((D $$unsorted)) (and (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (exists ((E $$unsorted)) (and (tptp.m1_subset_1 E (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (tptp.r1_tarski B D) (tptp.r1_tarski C E) (tptp.r1_xboole_0 D C) (tptp.r1_xboole_0 E B) (tptp.v3_pre_topc D A) (tptp.v3_pre_topc E A)))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (tptp.r1_connsp_1 A B C) (exists ((D $$unsorted)) (and (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (exists ((E $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (and (tptp.m1_subset_1 E (tptp.k1_zfmisc_1 _let_1)) (tptp.r1_tarski B D) (tptp.r1_tarski C E) (tptp.r1_xboole_0 (tptp.k5_subset_1 _let_1 D E) (tptp.k4_subset_1 _let_1 B C)) (tptp.v3_pre_topc D A) (tptp.v3_pre_topc E A))))))))))))) true (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 _let_1)) (= (tptp.r2_tsep_1 A B C) (tptp.r1_connsp_1 A (tptp.k6_subset_1 _let_1 B C) (tptp.k6_subset_1 _let_1 C B)))))))))) true (forall ((A $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (and (tptp.r1_xboole_0 B C) (tptp.r2_tsep_1 A B C)) (tptp.r1_connsp_1 A B C)))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (tptp.r1_tarski B C) (tptp.r2_tsep_1 A B C)))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (and (tptp.v4_pre_topc B A) (tptp.v4_pre_topc C A)) (tptp.r2_tsep_1 A B C)))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (and (tptp.v3_pre_topc B A) (tptp.v3_pre_topc C A)) (tptp.r2_tsep_1 A B C)))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 _let_1)) (=> (tptp.r2_tsep_1 A B C) (tptp.r2_tsep_1 A (tptp.k4_subset_1 _let_1 B D) (tptp.k4_subset_1 _let_1 C D)))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((E $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 E (tptp.k1_zfmisc_1 _let_1)) (=> (and (tptp.r1_tarski D B) (tptp.r1_tarski E C) (tptp.r2_tsep_1 A C B)) (tptp.r2_tsep_1 A (tptp.k4_subset_1 _let_1 C D) (tptp.k4_subset_1 _let_1 B E)))))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 _let_1)) (=> (and (tptp.r2_tsep_1 A B D) (tptp.r2_tsep_1 A C D)) (tptp.r2_tsep_1 A (tptp.k5_subset_1 _let_1 B C) D))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 _let_1)) (=> (and (tptp.r2_tsep_1 A B D) (tptp.r2_tsep_1 A C D)) (tptp.r2_tsep_1 A (tptp.k4_subset_1 _let_1 B C) D))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (tptp.r2_tsep_1 A B C) (exists ((D $$unsorted)) (and (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (exists ((E $$unsorted)) (and (tptp.m1_subset_1 E (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (exists ((F $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.k4_subset_1 _let_1 B C))) (and (tptp.m1_subset_1 F (tptp.k1_zfmisc_1 _let_1)) (tptp.r1_tarski (tptp.k5_subset_1 _let_1 D _let_2) B) (tptp.r1_tarski (tptp.k5_subset_1 _let_1 E _let_2) C) (tptp.r1_tarski (tptp.k5_subset_1 _let_1 F _let_2) (tptp.k5_subset_1 _let_1 B C)) (= _let_1 (tptp.k4_subset_1 _let_1 (tptp.k4_subset_1 _let_1 D E) F)) (tptp.v4_pre_topc D A) (tptp.v4_pre_topc E A) (tptp.v3_pre_topc F A)))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (not (and (tptp.r2_tsep_1 A B C) (not (tptp.r1_tarski B C)) (not (tptp.r1_tarski C B)) (forall ((D $$unsorted)) (=> (and (not (tptp.v1_xboole_0 D)) (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (forall ((E $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.k4_subset_1 _let_1 B C))) (=> (and (not (tptp.v1_xboole_0 E)) (tptp.m1_subset_1 E (tptp.k1_zfmisc_1 _let_1))) (not (and (tptp.v4_pre_topc D A) (tptp.v4_pre_topc E A) (tptp.r1_tarski (tptp.k5_subset_1 _let_1 D _let_2) B) (tptp.r1_tarski (tptp.k5_subset_1 _let_1 E _let_2) C) (not (and (not (tptp.r1_tarski _let_2 (tptp.k4_subset_1 _let_1 D E))) (forall ((F $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v1_xboole_0 F)) (tptp.m1_subset_1 F (tptp.k1_zfmisc_1 _let_1))) (not (and (tptp.v3_pre_topc F A) (tptp.r1_tarski (tptp.k5_subset_1 _let_1 F (tptp.k4_subset_1 _let_1 B C)) (tptp.k5_subset_1 _let_1 B C)) (= _let_1 (tptp.k4_subset_1 _let_1 (tptp.k4_subset_1 _let_1 D E) F))))))))))))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 _let_1)) (=> (= (tptp.k4_subset_1 _let_1 B C) _let_1) (= (tptp.r2_tsep_1 A B C) (exists ((D $$unsorted)) (and (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (exists ((E $$unsorted)) (and (tptp.m1_subset_1 E (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (exists ((F $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (and (tptp.m1_subset_1 F (tptp.k1_zfmisc_1 _let_1)) (= (tptp.k4_subset_1 _let_1 B C) (tptp.k4_subset_1 _let_1 (tptp.k4_subset_1 _let_1 D E) F)) (tptp.r1_tarski D B) (tptp.r1_tarski E C) (tptp.r1_tarski F (tptp.k5_subset_1 _let_1 B C)) (tptp.v4_pre_topc D A) (tptp.v4_pre_topc E A) (tptp.v3_pre_topc F A))))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 _let_1)) (not (and (= (tptp.k4_subset_1 _let_1 B C) _let_1) (tptp.r2_tsep_1 A B C) (not (tptp.r1_tarski B C)) (not (tptp.r1_tarski C B)) (forall ((D $$unsorted)) (=> (and (not (tptp.v1_xboole_0 D)) (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (forall ((E $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v1_xboole_0 E)) (tptp.m1_subset_1 E (tptp.k1_zfmisc_1 _let_1))) (not (and (tptp.v4_pre_topc D A) (tptp.v4_pre_topc E A) (tptp.r1_tarski D B) (tptp.r1_tarski E C) (not (and (not (= (tptp.k4_subset_1 _let_1 B C) (tptp.k4_subset_1 _let_1 D E))) (forall ((F $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v1_xboole_0 F)) (tptp.m1_subset_1 F (tptp.k1_zfmisc_1 _let_1))) (not (and (= (tptp.k4_subset_1 _let_1 B C) (tptp.k4_subset_1 _let_1 (tptp.k4_subset_1 _let_1 D E) F)) (tptp.r1_tarski F (tptp.k5_subset_1 _let_1 B C)) (tptp.v3_pre_topc F A)))))))))))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (tptp.r2_tsep_1 A B C) (exists ((D $$unsorted)) (and (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (exists ((E $$unsorted)) (and (tptp.m1_subset_1 E (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (exists ((F $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.k4_subset_1 _let_1 B C))) (and (tptp.m1_subset_1 F (tptp.k1_zfmisc_1 _let_1)) (tptp.r1_tarski (tptp.k5_subset_1 _let_1 D _let_2) B) (tptp.r1_tarski (tptp.k5_subset_1 _let_1 E _let_2) C) (tptp.r1_tarski (tptp.k5_subset_1 _let_1 F _let_2) (tptp.k5_subset_1 _let_1 B C)) (= _let_1 (tptp.k4_subset_1 _let_1 (tptp.k4_subset_1 _let_1 D E) F)) (tptp.v3_pre_topc D A) (tptp.v3_pre_topc E A) (tptp.v4_pre_topc F A)))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (not (and (tptp.r2_tsep_1 A B C) (not (tptp.r1_tarski B C)) (not (tptp.r1_tarski C B)) (forall ((D $$unsorted)) (=> (and (not (tptp.v1_xboole_0 D)) (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (forall ((E $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.k4_subset_1 _let_1 B C))) (=> (and (not (tptp.v1_xboole_0 E)) (tptp.m1_subset_1 E (tptp.k1_zfmisc_1 _let_1))) (not (and (tptp.v3_pre_topc D A) (tptp.v3_pre_topc E A) (tptp.r1_tarski (tptp.k5_subset_1 _let_1 D _let_2) B) (tptp.r1_tarski (tptp.k5_subset_1 _let_1 E _let_2) C) (not (and (not (tptp.r1_tarski _let_2 (tptp.k4_subset_1 _let_1 D E))) (forall ((F $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v1_xboole_0 F)) (tptp.m1_subset_1 F (tptp.k1_zfmisc_1 _let_1))) (not (and (tptp.v4_pre_topc F A) (tptp.r1_tarski (tptp.k5_subset_1 _let_1 F (tptp.k4_subset_1 _let_1 B C)) (tptp.k5_subset_1 _let_1 B C)) (= _let_1 (tptp.k4_subset_1 _let_1 (tptp.k4_subset_1 _let_1 D E) F))))))))))))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 _let_1)) (=> (= (tptp.k4_subset_1 _let_1 B C) _let_1) (= (tptp.r2_tsep_1 A B C) (exists ((D $$unsorted)) (and (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (exists ((E $$unsorted)) (and (tptp.m1_subset_1 E (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (exists ((F $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (and (tptp.m1_subset_1 F (tptp.k1_zfmisc_1 _let_1)) (= (tptp.k4_subset_1 _let_1 B C) (tptp.k4_subset_1 _let_1 (tptp.k4_subset_1 _let_1 D E) F)) (tptp.r1_tarski D B) (tptp.r1_tarski E C) (tptp.r1_tarski F (tptp.k5_subset_1 _let_1 B C)) (tptp.v3_pre_topc D A) (tptp.v3_pre_topc E A) (tptp.v4_pre_topc F A))))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 _let_1)) (not (and (= (tptp.k4_subset_1 _let_1 B C) _let_1) (tptp.r2_tsep_1 A B C) (not (tptp.r1_tarski B C)) (not (tptp.r1_tarski C B)) (forall ((D $$unsorted)) (=> (and (not (tptp.v1_xboole_0 D)) (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (forall ((E $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v1_xboole_0 E)) (tptp.m1_subset_1 E (tptp.k1_zfmisc_1 _let_1))) (not (and (tptp.v3_pre_topc D A) (tptp.v3_pre_topc E A) (tptp.r1_tarski D B) (tptp.r1_tarski E C) (not (and (not (= (tptp.k4_subset_1 _let_1 B C) (tptp.k4_subset_1 _let_1 D E))) (forall ((F $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v1_xboole_0 F)) (tptp.m1_subset_1 F (tptp.k1_zfmisc_1 _let_1))) (not (and (= (tptp.k4_subset_1 _let_1 B C) (tptp.k4_subset_1 _let_1 (tptp.k4_subset_1 _let_1 D E) F)) (tptp.r1_tarski F (tptp.k5_subset_1 _let_1 B C)) (tptp.v4_pre_topc F A)))))))))))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (tptp.r1_connsp_1 A B C) (exists ((D $$unsorted)) (and (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (exists ((E $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (and (tptp.m1_subset_1 E (tptp.k1_zfmisc_1 _let_1)) (tptp.r2_tsep_1 A D E) (tptp.r1_tarski B D) (tptp.r1_tarski C E) (tptp.r1_xboole_0 (tptp.k5_subset_1 _let_1 D E) (tptp.k4_subset_1 _let_1 B C)))))))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (forall ((B $$unsorted)) (=> (tptp.m1_pre_topc B A) (forall ((C $$unsorted)) (=> (tptp.m1_pre_topc C A) (= (tptp.r3_tsep_1 A B C) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (and (= D (tptp.u1_struct_0 B)) (= E (tptp.u1_struct_0 C))) (tptp.r1_connsp_1 A D E))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.m1_pre_topc B A)) (forall ((C $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.m1_pre_topc C A)) (=> (tptp.r3_tsep_1 A B C) (tptp.r1_tsep_1 A B C)))))))) true (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v1_borsuk_1 B A) (tptp.m1_pre_topc B A)) (forall ((C $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.v1_borsuk_1 C A) (tptp.m1_pre_topc C A)) (= (tptp.r1_tsep_1 A B C) (tptp.r3_tsep_1 A B C)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.m1_pre_topc B A)) (forall ((C $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.m1_pre_topc C A)) (=> (and (= A (tptp.k1_tsep_1 A B C)) (tptp.r3_tsep_1 A B C)) (and (tptp.v1_borsuk_1 B A) (tptp.m1_pre_topc B A))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.m1_pre_topc B A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k1_tsep_1 A B C))) (=> (and (not (tptp.v3_struct_0 C)) (tptp.m1_pre_topc C A)) (=> (and (tptp.v1_borsuk_1 _let_1 A) (tptp.m1_pre_topc _let_1 A) (tptp.r3_tsep_1 A B C)) (and (tptp.v1_borsuk_1 B A) (tptp.m1_pre_topc B A)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v1_tsep_1 B A) (tptp.m1_pre_topc B A)) (forall ((C $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.v1_tsep_1 C A) (tptp.m1_pre_topc C A)) (= (tptp.r1_tsep_1 A B C) (tptp.r3_tsep_1 A B C)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.m1_pre_topc B A)) (forall ((C $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.m1_pre_topc C A)) (=> (and (= A (tptp.k1_tsep_1 A B C)) (tptp.r3_tsep_1 A B C)) (and (tptp.v1_tsep_1 B A) (tptp.m1_pre_topc B A))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.m1_pre_topc B A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k1_tsep_1 A B C))) (=> (and (not (tptp.v3_struct_0 C)) (tptp.m1_pre_topc C A)) (=> (and (tptp.v1_tsep_1 _let_1 A) (tptp.m1_pre_topc _let_1 A) (tptp.r3_tsep_1 A B C)) (and (tptp.v1_tsep_1 B A) (tptp.m1_pre_topc B A)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.m1_pre_topc B A)) (forall ((C $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.m1_pre_topc C A)) (forall ((D $$unsorted)) (=> (and (not (tptp.v3_struct_0 D)) (tptp.m1_pre_topc D A)) (=> (tptp.r3_tsep_1 A C D) (or (tptp.r1_tsep_1 A C B) (tptp.r1_tsep_1 A D B) (and (tptp.r3_tsep_1 A (tptp.k2_tsep_1 A C B) (tptp.k2_tsep_1 A D B)) (tptp.r3_tsep_1 A (tptp.k2_tsep_1 A B C) (tptp.k2_tsep_1 A B D))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.m1_pre_topc B A)) (forall ((C $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.m1_pre_topc C A)) (forall ((D $$unsorted)) (=> (tptp.m1_pre_topc D A) (forall ((E $$unsorted)) (=> (tptp.m1_pre_topc E A) (=> (and (tptp.m1_pre_topc D B) (tptp.m1_pre_topc E C) (tptp.r3_tsep_1 A B C)) (tptp.r3_tsep_1 A D E)))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.m1_pre_topc B A)) (forall ((C $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.m1_pre_topc C A)) (forall ((D $$unsorted)) (=> (and (not (tptp.v3_struct_0 D)) (tptp.m1_pre_topc D A)) (=> (tptp.r3_tsep_1 A B D) (or (tptp.r1_tsep_1 A B C) (tptp.r3_tsep_1 A (tptp.k2_tsep_1 A B C) D))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.m1_pre_topc B A)) (forall ((C $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.m1_pre_topc C A)) (forall ((D $$unsorted)) (=> (and (not (tptp.v3_struct_0 D)) (tptp.m1_pre_topc D A)) (= (and (tptp.r3_tsep_1 A B D) (tptp.r3_tsep_1 A C D)) (tptp.r3_tsep_1 A (tptp.k1_tsep_1 A B C) D)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.m1_pre_topc B A)) (forall ((C $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.m1_pre_topc C A)) (= (tptp.r3_tsep_1 A B C) (exists ((D $$unsorted)) (and (not (tptp.v3_struct_0 D)) (tptp.v1_borsuk_1 D A) (tptp.m1_pre_topc D A) (exists ((E $$unsorted)) (and (not (tptp.v3_struct_0 E)) (tptp.v1_borsuk_1 E A) (tptp.m1_pre_topc E A) (tptp.m1_pre_topc B D) (tptp.m1_pre_topc C E) (tptp.r1_tsep_1 A D C) (tptp.r1_tsep_1 A E B)))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.m1_pre_topc B A)) (forall ((C $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.m1_pre_topc C A)) (= (tptp.r3_tsep_1 A B C) (exists ((D $$unsorted)) (and (not (tptp.v3_struct_0 D)) (tptp.v1_borsuk_1 D A) (tptp.m1_pre_topc D A) (exists ((E $$unsorted)) (and (not (tptp.v3_struct_0 E)) (tptp.v1_borsuk_1 E A) (tptp.m1_pre_topc E A) (tptp.m1_pre_topc B D) (tptp.m1_pre_topc C E) (or (tptp.r1_tsep_1 A D E) (tptp.r1_tsep_1 A (tptp.k2_tsep_1 A D E) (tptp.k1_tsep_1 A B C)))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.m1_pre_topc B A)) (forall ((C $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.m1_pre_topc C A)) (= (tptp.r3_tsep_1 A B C) (exists ((D $$unsorted)) (and (not (tptp.v3_struct_0 D)) (tptp.v1_tsep_1 D A) (tptp.m1_pre_topc D A) (exists ((E $$unsorted)) (and (not (tptp.v3_struct_0 E)) (tptp.v1_tsep_1 E A) (tptp.m1_pre_topc E A) (tptp.m1_pre_topc B D) (tptp.m1_pre_topc C E) (tptp.r1_tsep_1 A D C) (tptp.r1_tsep_1 A E B)))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.m1_pre_topc B A)) (forall ((C $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.m1_pre_topc C A)) (= (tptp.r3_tsep_1 A B C) (exists ((D $$unsorted)) (and (not (tptp.v3_struct_0 D)) (tptp.v1_tsep_1 D A) (tptp.m1_pre_topc D A) (exists ((E $$unsorted)) (and (not (tptp.v3_struct_0 E)) (tptp.v1_tsep_1 E A) (tptp.m1_pre_topc E A) (tptp.m1_pre_topc B D) (tptp.m1_pre_topc C E) (or (tptp.r1_tsep_1 A D E) (tptp.r1_tsep_1 A (tptp.k2_tsep_1 A D E) (tptp.k1_tsep_1 A B C)))))))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (forall ((B $$unsorted)) (=> (tptp.m1_pre_topc B A) (forall ((C $$unsorted)) (=> (tptp.m1_pre_topc C A) (= (tptp.r4_tsep_1 A B C) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (and (= D (tptp.u1_struct_0 B)) (= E (tptp.u1_struct_0 C))) (tptp.r2_tsep_1 A D E))))))))))))) true (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.m1_pre_topc B A)) (forall ((C $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.m1_pre_topc C A)) (= (and (tptp.r1_tsep_1 A B C) (tptp.r4_tsep_1 A B C)) (tptp.r3_tsep_1 A B C)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.m1_pre_topc B A)) (forall ((C $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.m1_pre_topc C A)) (=> (tptp.m1_pre_topc B C) (tptp.r4_tsep_1 A B C)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_borsuk_1 B A) (tptp.m1_pre_topc B A)) (forall ((C $$unsorted)) (=> (and (tptp.v1_borsuk_1 C A) (tptp.m1_pre_topc C A)) (tptp.r4_tsep_1 A B C))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_tsep_1 B A) (tptp.m1_pre_topc B A)) (forall ((C $$unsorted)) (=> (and (tptp.v1_tsep_1 C A) (tptp.m1_pre_topc C A)) (tptp.r4_tsep_1 A B C))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.m1_pre_topc B A)) (forall ((C $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.m1_pre_topc C A)) (forall ((D $$unsorted)) (=> (and (not (tptp.v3_struct_0 D)) (tptp.m1_pre_topc D A)) (=> (tptp.r4_tsep_1 A B C) (tptp.r4_tsep_1 A (tptp.k1_tsep_1 A B D) (tptp.k1_tsep_1 A C D))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.m1_pre_topc B A)) (forall ((C $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.m1_pre_topc C A)) (forall ((D $$unsorted)) (=> (and (not (tptp.v3_struct_0 D)) (tptp.m1_pre_topc D A)) (forall ((E $$unsorted)) (=> (and (not (tptp.v3_struct_0 E)) (tptp.m1_pre_topc E A)) (=> (and (tptp.m1_pre_topc D B) (tptp.m1_pre_topc E C) (tptp.r4_tsep_1 A C B)) (and (tptp.r4_tsep_1 A (tptp.k1_tsep_1 A C D) (tptp.k1_tsep_1 A B E)) (tptp.r4_tsep_1 A (tptp.k1_tsep_1 A D C) (tptp.k1_tsep_1 A E B)))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.m1_pre_topc B A)) (forall ((C $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.m1_pre_topc C A)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k2_tsep_1 A C D))) (=> (and (not (tptp.v3_struct_0 D)) (tptp.m1_pre_topc D A)) (=> (not (tptp.r1_tsep_1 A C D)) (and (=> (and (tptp.r4_tsep_1 A C B) (tptp.r4_tsep_1 A D B)) (tptp.r4_tsep_1 A _let_1 B)) (=> (and (tptp.r4_tsep_1 A B C) (tptp.r4_tsep_1 A B D)) (tptp.r4_tsep_1 A B _let_1))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.m1_pre_topc B A)) (forall ((C $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.m1_pre_topc C A)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k1_tsep_1 A B C))) (=> (and (not (tptp.v3_struct_0 D)) (tptp.m1_pre_topc D A)) (and (=> (and (tptp.r4_tsep_1 A B D) (tptp.r4_tsep_1 A C D)) (tptp.r4_tsep_1 A _let_1 D)) (=> (and (tptp.r4_tsep_1 A D B) (tptp.r4_tsep_1 A D C)) (tptp.r4_tsep_1 A D _let_1)))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.m1_pre_topc B A)) (forall ((C $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.m1_pre_topc C A)) (=> (not (tptp.r1_tsep_1 A B C)) (= (tptp.r4_tsep_1 A B C) (not (and (not (tptp.m1_pre_topc B C)) (not (tptp.m1_pre_topc C B)) (forall ((D $$unsorted)) (=> (and (not (tptp.v3_struct_0 D)) (tptp.v1_borsuk_1 D A) (tptp.m1_pre_topc D A)) (forall ((E $$unsorted)) (let ((_let_1 (tptp.k1_tsep_1 A B C))) (=> (and (not (tptp.v3_struct_0 E)) (tptp.v1_borsuk_1 E A) (tptp.m1_pre_topc E A)) (not (and (tptp.m1_pre_topc (tptp.k2_tsep_1 A D _let_1) B) (tptp.m1_pre_topc (tptp.k2_tsep_1 A E _let_1) C) (not (and (not (tptp.m1_pre_topc _let_1 (tptp.k1_tsep_1 A D E))) (forall ((F $$unsorted)) (=> (and (not (tptp.v3_struct_0 F)) (tptp.v1_tsep_1 F A) (tptp.m1_pre_topc F A)) (not (and (= (tptp.g1_pre_topc (tptp.u1_struct_0 A) (tptp.u1_pre_topc A)) (tptp.k1_tsep_1 A (tptp.k1_tsep_1 A D E) F)) (tptp.m1_pre_topc (tptp.k2_tsep_1 A F (tptp.k1_tsep_1 A B C)) (tptp.k2_tsep_1 A B C))))))))))))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.m1_pre_topc B A)) (forall ((C $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.m1_pre_topc C A)) (=> (= A (tptp.k1_tsep_1 A B C)) (or (tptp.r1_tsep_1 A B C) (= (tptp.r4_tsep_1 A B C) (not (and (not (tptp.m1_pre_topc B C)) (not (tptp.m1_pre_topc C B)) (forall ((D $$unsorted)) (=> (and (not (tptp.v3_struct_0 D)) (tptp.v1_borsuk_1 D A) (tptp.m1_pre_topc D A)) (forall ((E $$unsorted)) (=> (and (not (tptp.v3_struct_0 E)) (tptp.v1_borsuk_1 E A) (tptp.m1_pre_topc E A)) (not (and (tptp.m1_pre_topc D B) (tptp.m1_pre_topc E C) (not (and (not (= A (tptp.k1_tsep_1 A D E))) (forall ((F $$unsorted)) (=> (and (not (tptp.v3_struct_0 F)) (tptp.v1_tsep_1 F A) (tptp.m1_pre_topc F A)) (not (and (= A (tptp.k1_tsep_1 A (tptp.k1_tsep_1 A D E) F)) (tptp.m1_pre_topc F (tptp.k2_tsep_1 A B C))))))))))))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.m1_pre_topc B A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.m1_pre_topc C A))) (=> (and (not (tptp.v3_struct_0 C)) _let_1) (=> (and (= A (tptp.k1_tsep_1 A B C)) (tptp.r1_tsep_1 A B C)) (= (tptp.r4_tsep_1 A B C) (and (tptp.v1_borsuk_1 B A) (tptp.m1_pre_topc B A) (tptp.v1_borsuk_1 C A) _let_1)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.m1_pre_topc B A)) (forall ((C $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.m1_pre_topc C A)) (=> (not (tptp.r1_tsep_1 A B C)) (= (tptp.r4_tsep_1 A B C) (not (and (not (tptp.m1_pre_topc B C)) (not (tptp.m1_pre_topc C B)) (forall ((D $$unsorted)) (=> (and (not (tptp.v3_struct_0 D)) (tptp.v1_tsep_1 D A) (tptp.m1_pre_topc D A)) (forall ((E $$unsorted)) (let ((_let_1 (tptp.k1_tsep_1 A B C))) (=> (and (not (tptp.v3_struct_0 E)) (tptp.v1_tsep_1 E A) (tptp.m1_pre_topc E A)) (not (and (tptp.m1_pre_topc (tptp.k2_tsep_1 A D _let_1) B) (tptp.m1_pre_topc (tptp.k2_tsep_1 A E _let_1) C) (not (and (not (tptp.m1_pre_topc _let_1 (tptp.k1_tsep_1 A D E))) (forall ((F $$unsorted)) (=> (and (not (tptp.v3_struct_0 F)) (tptp.v1_borsuk_1 F A) (tptp.m1_pre_topc F A)) (not (and (= (tptp.g1_pre_topc (tptp.u1_struct_0 A) (tptp.u1_pre_topc A)) (tptp.k1_tsep_1 A (tptp.k1_tsep_1 A D E) F)) (tptp.m1_pre_topc (tptp.k2_tsep_1 A F (tptp.k1_tsep_1 A B C)) (tptp.k2_tsep_1 A B C))))))))))))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.m1_pre_topc B A)) (forall ((C $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.m1_pre_topc C A)) (=> (= A (tptp.k1_tsep_1 A B C)) (or (tptp.r1_tsep_1 A B C) (= (tptp.r4_tsep_1 A B C) (not (and (not (tptp.m1_pre_topc B C)) (not (tptp.m1_pre_topc C B)) (forall ((D $$unsorted)) (=> (and (not (tptp.v3_struct_0 D)) (tptp.v1_tsep_1 D A) (tptp.m1_pre_topc D A)) (forall ((E $$unsorted)) (=> (and (not (tptp.v3_struct_0 E)) (tptp.v1_tsep_1 E A) (tptp.m1_pre_topc E A)) (not (and (tptp.m1_pre_topc D B) (tptp.m1_pre_topc E C) (not (and (not (= A (tptp.k1_tsep_1 A D E))) (forall ((F $$unsorted)) (=> (and (not (tptp.v3_struct_0 F)) (tptp.v1_borsuk_1 F A) (tptp.m1_pre_topc F A)) (not (and (= A (tptp.k1_tsep_1 A (tptp.k1_tsep_1 A D E) F)) (tptp.m1_pre_topc F (tptp.k2_tsep_1 A B C))))))))))))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.m1_pre_topc B A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.m1_pre_topc C A))) (=> (and (not (tptp.v3_struct_0 C)) _let_1) (=> (and (= A (tptp.k1_tsep_1 A B C)) (tptp.r1_tsep_1 A B C)) (= (tptp.r4_tsep_1 A B C) (and (tptp.v1_tsep_1 B A) (tptp.m1_pre_topc B A) (tptp.v1_tsep_1 C A) _let_1)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.m1_pre_topc B A)) (forall ((C $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.m1_pre_topc C A)) (= (tptp.r3_tsep_1 A B C) (exists ((D $$unsorted)) (and (not (tptp.v3_struct_0 D)) (tptp.m1_pre_topc D A) (exists ((E $$unsorted)) (and (not (tptp.v3_struct_0 E)) (tptp.m1_pre_topc E A) (tptp.r4_tsep_1 A D E) (tptp.m1_pre_topc B D) (tptp.m1_pre_topc C E) (or (tptp.r1_tsep_1 A D E) (tptp.r1_tsep_1 A (tptp.k2_tsep_1 A D E) (tptp.k1_tsep_1 A B C)))))))))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.l1_pre_topc A) (tptp.m1_pre_topc B A) (tptp.m1_pre_topc C A)) (=> (tptp.r1_tsep_1 A B C) (tptp.r1_tsep_1 A C B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (=> (and (tptp.l1_pre_topc A) (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (=> (tptp.r2_tsep_1 A B C) (tptp.r2_tsep_1 A C B))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.l1_pre_topc A) (tptp.m1_pre_topc B A) (tptp.m1_pre_topc C A)) (=> (tptp.r3_tsep_1 A B C) (tptp.r3_tsep_1 A C B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.l1_pre_topc A) (tptp.m1_pre_topc B A) (tptp.m1_pre_topc C A)) (=> (tptp.r4_tsep_1 A B C) (tptp.r4_tsep_1 A C B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k1_tsep_1 A B C))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_pre_topc A) (not (tptp.v3_struct_0 B)) (tptp.m1_pre_topc B A) (not (tptp.v3_struct_0 C)) (tptp.m1_pre_topc C A)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v1_pre_topc _let_1) (tptp.m1_pre_topc _let_1 A))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_pre_topc A) (not (tptp.v3_struct_0 B)) (tptp.m1_pre_topc B A) (not (tptp.v3_struct_0 C)) (tptp.m1_pre_topc C A)) (= (tptp.k1_tsep_1 A B C) (tptp.k1_tsep_1 A C B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k2_tsep_1 A B C))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_pre_topc A) (not (tptp.v3_struct_0 B)) (tptp.m1_pre_topc B A) (not (tptp.v3_struct_0 C)) (tptp.m1_pre_topc C A)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v1_pre_topc _let_1) (tptp.m1_pre_topc _let_1 A))))) (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (forall ((B $$unsorted)) (let ((_let_1 (= B tptp.k1_xboole_0))) (let ((_let_2 (tptp.u1_struct_0 A))) (let ((_let_3 (tptp.k3_subset_1 _let_2 B))) (let ((_let_4 (= _let_3 _let_2))) (let ((_let_5 (= B (tptp.k1_pre_topc A)))) (let ((_let_6 (= _let_3 (tptp.k2_pre_topc A)))) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 _let_2)) (and (=> _let_5 _let_6) (=> _let_6 _let_5) (=> _let_1 _let_4) (=> _let_4 _let_1)))))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (= B _let_1))) (let ((_let_3 (tptp.k3_subset_1 _let_1 B))) (let ((_let_4 (= _let_3 tptp.k1_xboole_0))) (let ((_let_5 (= B (tptp.k2_pre_topc A)))) (let ((_let_6 (= _let_3 (tptp.k1_pre_topc A)))) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 _let_1)) (and (=> _let_5 _let_6) (=> _let_6 _let_5) (=> _let_2 _let_4) (=> _let_4 _let_2)))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 _let_1)) (tptp.r1_tarski (tptp.k5_subset_1 _let_1 (tptp.k1_tops_1 A B) (tptp.k6_pre_topc A C)) (tptp.k6_pre_topc A (tptp.k5_subset_1 _let_1 B C)))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 _let_1)) (tptp.r1_tarski (tptp.k1_tops_1 A (tptp.k4_subset_1 _let_1 B C)) (tptp.k4_subset_1 _let_1 (tptp.k6_pre_topc A B) (tptp.k1_tops_1 A C)))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 _let_1)) (=> (tptp.v4_pre_topc C A) (tptp.r1_tarski (tptp.k1_tops_1 A (tptp.k4_subset_1 _let_1 C B)) (tptp.k4_subset_1 _let_1 C (tptp.k1_tops_1 A B))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 _let_1)) (=> (tptp.v4_pre_topc C A) (= (tptp.k1_tops_1 A (tptp.k4_subset_1 _let_1 C B)) (tptp.k1_tops_1 A (tptp.k4_subset_1 _let_1 C (tptp.k1_tops_1 A B)))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k1_tops_1 A (tptp.k6_pre_topc A B)))) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (tptp.r1_xboole_0 B _let_1) (= _let_1 tptp.k1_xboole_0))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.k6_pre_topc A (tptp.k1_tops_1 A B)))) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 _let_1)) (=> (= (tptp.k4_subset_1 _let_1 B _let_2) _let_1) (= _let_2 _let_1)))))))) (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (tptp.v2_tops_1 B A) (= (tptp.k1_tops_1 A B) tptp.k1_xboole_0)))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (tptp.v2_tops_1 (tptp.k1_pre_topc A) A))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 _let_1)) (not (and (tptp.v2_tops_1 B A) (= B _let_1)))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (and (tptp.v2_tops_1 B A) (tptp.r1_tarski C B)) (tptp.v2_tops_1 C A)))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (tptp.v2_tops_1 B A) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 _let_1)) (=> (and (tptp.r1_tarski (tptp.k3_subset_1 _let_1 B) C) (tptp.v4_pre_topc C A)) (= C _let_1)))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (tptp.v2_tops_1 B A) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 _let_1)) (not (and (not (= C tptp.k1_xboole_0)) (tptp.v3_pre_topc C A) (tptp.r1_xboole_0 (tptp.k3_subset_1 _let_1 B) C))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (tptp.v2_tops_1 B A) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 _let_1)) (=> (tptp.v4_pre_topc C A) (= (tptp.k1_tops_1 A C) (tptp.k1_tops_1 A (tptp.k4_subset_1 _let_1 C B)))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 _let_1)) (=> (or (tptp.v2_tops_1 B A) (tptp.v2_tops_1 C A)) (tptp.v2_tops_1 (tptp.k5_subset_1 _let_1 B C) A))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 _let_1)) (= (tptp.v1_tops_1 B A) (= (tptp.k6_pre_topc A B) _let_1))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (tptp.v1_tops_1 (tptp.k2_pre_topc A) A))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (not (and (tptp.v1_tops_1 B A) (= B tptp.k1_xboole_0))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 _let_1)) (= (tptp.v1_tops_1 B A) (tptp.v2_tops_1 (tptp.k3_subset_1 _let_1 B) A))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (tptp.v1_tops_1 B A) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 _let_1)) (=> (and (tptp.r1_tarski B C) (tptp.v4_pre_topc C A)) (= C _let_1)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (tptp.v1_tops_1 B A) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 _let_1)) (=> (tptp.v3_pre_topc C A) (= (tptp.k6_pre_topc A C) (tptp.k6_pre_topc A (tptp.k5_subset_1 _let_1 C B)))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 _let_1)) (=> (or (tptp.v1_tops_1 B A) (tptp.v1_tops_1 C A)) (tptp.v1_tops_1 (tptp.k4_subset_1 _let_1 B C) A))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (tptp.v3_tops_1 B A) (= (tptp.k1_tops_1 A (tptp.k6_pre_topc A B)) tptp.k1_xboole_0)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (tptp.v3_tops_1 (tptp.k1_pre_topc A) A))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 _let_1)) (not (and (tptp.v3_tops_1 B A) (= B _let_1)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (tptp.v3_tops_1 B A) (tptp.v3_tops_1 (tptp.k6_pre_topc A B) A)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (not (and (tptp.v3_tops_1 B A) (tptp.v1_tops_1 B A))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (and (tptp.v3_tops_1 B A) (tptp.r1_tarski C B)) (tptp.v3_tops_1 C A)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (tptp.v3_tops_1 B A) (exists ((C $$unsorted)) (and (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (tptp.r1_tarski B C) (tptp.v4_pre_topc C A) (tptp.v2_tops_1 C A)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (tptp.v3_tops_1 B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (not (and (not (= C tptp.k1_xboole_0)) (tptp.v3_pre_topc C A) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (not (and (tptp.r1_tarski D C) (not (= D tptp.k1_xboole_0)) (tptp.v3_pre_topc D A) (tptp.r1_xboole_0 B D)))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 _let_1)) (=> (or (tptp.v3_tops_1 B A) (tptp.v3_tops_1 C A)) (tptp.v3_tops_1 (tptp.k5_subset_1 _let_1 B C) A))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 _let_1)) (=> (and (tptp.v3_tops_1 B A) (tptp.v2_tops_1 C A)) (tptp.v2_tops_1 (tptp.k4_subset_1 _let_1 B C) A))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (tptp.v1_tops_3 B A) (= (tptp.k6_pre_topc A (tptp.k1_tops_1 A B)) (tptp.k2_pre_topc A))))))) (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 _let_1)) (= (tptp.v1_tops_3 B A) (= (tptp.k6_pre_topc A (tptp.k1_tops_1 A B)) _let_1))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (tptp.v1_tops_3 (tptp.k2_pre_topc A) A))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (tptp.v1_tops_3 B A) (tptp.v1_tops_3 (tptp.k1_tops_1 A B) A)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (tptp.v1_tops_3 B A) (tptp.v1_tops_1 B A)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (not (and (tptp.v1_tops_3 B A) (= B tptp.k1_xboole_0))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (tptp.v1_tops_3 B A) (tptp.v1_tops_1 (tptp.k1_tops_1 A B) A)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (and (tptp.v3_pre_topc B A) (tptp.v1_tops_1 B A)) (tptp.v1_tops_3 B A)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (not (and (tptp.v1_tops_3 B A) (tptp.v2_tops_1 B A))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_tops_3 B A) (tptp.r1_tarski B C)) (tptp.v1_tops_3 C A)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 _let_1)) (= (tptp.v1_tops_3 B A) (tptp.v3_tops_1 (tptp.k3_subset_1 _let_1 B) A))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 _let_1)) (= (tptp.v3_tops_1 B A) (tptp.v1_tops_3 (tptp.k3_subset_1 _let_1 B) A))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (tptp.v1_tops_3 B A) (exists ((C $$unsorted)) (and (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (tptp.r1_tarski C B) (tptp.v3_pre_topc C A) (tptp.v1_tops_1 C A)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (tptp.v1_tops_3 B A) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 _let_1)) (not (and (not (= C _let_1)) (tptp.v4_pre_topc C A) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 _let_1)) (not (and (tptp.r1_tarski C D) (not (= D _let_1)) (tptp.v4_pre_topc D A) (= (tptp.k4_subset_1 _let_1 B D) _let_1)))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 _let_1)) (=> (or (tptp.v1_tops_3 B A) (tptp.v1_tops_3 C A)) (tptp.v1_tops_3 (tptp.k4_subset_1 _let_1 B C) A))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 _let_1)) (=> (and (tptp.v1_tops_3 B A) (tptp.v1_tops_3 C A)) (tptp.v1_tops_3 (tptp.k5_subset_1 _let_1 B C) A))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 _let_1)) (=> (and (tptp.v1_tops_3 B A) (tptp.v1_tops_1 C A)) (tptp.v1_tops_1 (tptp.k5_subset_1 _let_1 B C) A))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 _let_1)) (=> (and (tptp.v1_tops_1 B A) (tptp.v3_tops_1 C A)) (tptp.v1_tops_1 (tptp.k6_subset_1 _let_1 B C) A))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 _let_1)) (=> (and (tptp.v1_tops_3 B A) (tptp.v2_tops_1 C A)) (tptp.v1_tops_1 (tptp.k6_subset_1 _let_1 B C) A))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 _let_1)) (=> (and (tptp.v1_tops_3 B A) (tptp.v3_tops_1 C A)) (tptp.v1_tops_3 (tptp.k6_subset_1 _let_1 B C) A))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (not (and (tptp.v1_tops_3 B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 _let_1)) (not (and (tptp.v3_pre_topc C A) (tptp.v1_tops_1 C A) (tptp.v3_tops_1 D A) (= (tptp.k4_subset_1 _let_1 C D) B) (tptp.r1_xboole_0 C D)))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (not (and (tptp.v1_tops_3 B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 _let_1)) (not (and (tptp.v3_pre_topc C A) (tptp.v1_tops_1 C A) (tptp.v4_pre_topc D A) (tptp.v2_tops_1 D A) (= (tptp.k4_subset_1 _let_1 C (tptp.k5_subset_1 _let_1 B D)) B) (tptp.r1_xboole_0 C D) (= (tptp.k4_subset_1 _let_1 C D) _let_1)))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (not (and (tptp.v3_tops_1 B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 _let_1)) (not (and (tptp.v4_pre_topc C A) (tptp.v2_tops_1 C A) (tptp.v1_tops_3 D A) (= (tptp.k5_subset_1 _let_1 C D) B) (= (tptp.k4_subset_1 _let_1 C D) _let_1)))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (not (and (tptp.v3_tops_1 B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 _let_1)) (not (and (tptp.v4_pre_topc C A) (tptp.v2_tops_1 C A) (tptp.v3_pre_topc D A) (tptp.v1_tops_1 D A) (= (tptp.k5_subset_1 _let_1 C (tptp.k4_subset_1 _let_1 B D)) B) (tptp.r1_xboole_0 C D) (= (tptp.k4_subset_1 _let_1 C D) _let_1)))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_pre_topc B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B))) (=> (tptp.r1_tarski D C) (tptp.r1_tarski (tptp.k6_pre_topc B D) (tptp.k6_pre_topc A C))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_pre_topc B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((E $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (=> (tptp.m1_subset_1 E (tptp.k1_zfmisc_1 _let_1)) (=> (and (tptp.v4_pre_topc C A) (tptp.r1_tarski C _let_1) (tptp.r1_tarski D C) (= D E)) (= (tptp.k6_pre_topc A D) (tptp.k6_pre_topc B E)))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v1_borsuk_1 B A) (tptp.m1_pre_topc B A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B))) (=> (= C D) (= (tptp.k6_pre_topc A C) (tptp.k6_pre_topc B D))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_pre_topc B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B))) (=> (tptp.r1_tarski C D) (tptp.r1_tarski (tptp.k1_tops_1 A C) (tptp.k1_tops_1 B D))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.m1_pre_topc B A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((E $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (=> (tptp.m1_subset_1 E (tptp.k1_zfmisc_1 _let_1)) (=> (and (tptp.v3_pre_topc C A) (tptp.r1_tarski C _let_1) (tptp.r1_tarski D C) (= D E)) (= (tptp.k1_tops_1 A D) (tptp.k1_tops_1 B E)))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v1_tsep_1 B A) (tptp.m1_pre_topc B A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B))) (=> (= C D) (= (tptp.k1_tops_1 A C) (tptp.k1_tops_1 B D))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_pre_topc B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B))) (=> (and (tptp.r1_tarski C D) (tptp.v1_tops_1 C A)) (tptp.v1_tops_1 D B)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_pre_topc B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((E $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (=> (tptp.m1_subset_1 E (tptp.k1_zfmisc_1 _let_1)) (=> (and (tptp.r1_tarski C _let_1) (tptp.r1_tarski D C) (= D E)) (= (and (tptp.v1_tops_1 C A) (tptp.v1_tops_1 E B)) (tptp.v1_tops_1 D A)))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.m1_pre_topc B A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B))) (=> (and (tptp.r1_tarski C D) (tptp.v1_tops_3 C A)) (tptp.v1_tops_3 D B)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.m1_pre_topc B A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((E $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (=> (tptp.m1_subset_1 E (tptp.k1_zfmisc_1 _let_1)) (=> (and (tptp.v3_pre_topc C A) (tptp.r1_tarski C _let_1) (tptp.r1_tarski D C) (= D E)) (= (and (tptp.v1_tops_1 C A) (tptp.v1_tops_3 E B)) (tptp.v1_tops_3 D A)))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v1_tsep_1 B A) (tptp.m1_pre_topc B A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((E $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (=> (tptp.m1_subset_1 E (tptp.k1_zfmisc_1 _let_1)) (=> (and (= D _let_1) (= C E)) (= (and (tptp.v1_tops_1 D A) (tptp.v1_tops_3 E B)) (tptp.v1_tops_3 C A)))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.m1_pre_topc B A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((E $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (=> (tptp.m1_subset_1 E (tptp.k1_zfmisc_1 _let_1)) (=> (and (tptp.r1_tarski C _let_1) (tptp.r1_tarski D C) (= D E)) (= (and (tptp.v1_tops_3 C A) (tptp.v1_tops_3 E B)) (tptp.v1_tops_3 D A)))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.m1_pre_topc B A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B))) (=> (and (tptp.r1_tarski C D) (tptp.v2_tops_1 D B)) (tptp.v2_tops_1 C A)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.m1_pre_topc B A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((E $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (=> (tptp.m1_subset_1 E (tptp.k1_zfmisc_1 _let_1)) (=> (and (tptp.v3_pre_topc C A) (tptp.r1_tarski C _let_1) (tptp.r1_tarski D C) (= D E) (tptp.v2_tops_1 D A)) (tptp.v2_tops_1 E B))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v1_tsep_1 B A) (tptp.m1_pre_topc B A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B))) (=> (= C D) (= (tptp.v2_tops_1 C A) (tptp.v2_tops_1 D B))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.m1_pre_topc B A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B))) (=> (and (tptp.r1_tarski C D) (tptp.v3_tops_1 D B)) (tptp.v3_tops_1 C A)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.m1_pre_topc B A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((E $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (=> (tptp.m1_subset_1 E (tptp.k1_zfmisc_1 _let_1)) (=> (and (tptp.v3_pre_topc C A) (tptp.r1_tarski C _let_1) (tptp.r1_tarski D C) (= D E) (tptp.v3_tops_1 D A)) (tptp.v3_tops_1 E B))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v1_tsep_1 B A) (tptp.m1_pre_topc B A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B))) (=> (= C D) (= (tptp.v3_tops_1 C A) (tptp.v3_tops_1 D B))))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_struct_0 A) (forall ((B $$unsorted)) (=> (tptp.l1_struct_0 B) (=> (= (tptp.u1_struct_0 A) (tptp.u1_struct_0 B)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 _let_1)) (= (= C D) (= (tptp.k3_subset_1 (tptp.u1_struct_0 A) C) (tptp.k3_subset_1 _let_1 D))))))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (tptp.l1_pre_topc B) (=> (and (= _let_2 _let_1) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B))) (=> (= C D) (= (tptp.v3_pre_topc C A) (tptp.v3_pre_topc D B)))))))) (= (tptp.g1_pre_topc _let_2 (tptp.u1_pre_topc A)) (tptp.g1_pre_topc _let_1 (tptp.u1_pre_topc B)))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (tptp.l1_pre_topc B) (=> (and (= _let_2 _let_1) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B))) (=> (= C D) (= (tptp.v4_pre_topc C A) (tptp.v4_pre_topc D B)))))))) (= (tptp.g1_pre_topc _let_2 (tptp.u1_pre_topc A)) (tptp.g1_pre_topc _let_1 (tptp.u1_pre_topc B)))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (tptp.v2_pre_topc B) (tptp.l1_pre_topc B)) (=> (and (= _let_2 _let_1) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B))) (=> (= C D) (= (tptp.k1_tops_1 A C) (tptp.k1_tops_1 B D)))))))) (= (tptp.g1_pre_topc _let_2 (tptp.u1_pre_topc A)) (tptp.g1_pre_topc _let_1 (tptp.u1_pre_topc B)))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (tptp.v2_pre_topc B) (tptp.l1_pre_topc B)) (=> (and (= _let_2 _let_1) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B))) (=> (= C D) (= (tptp.k6_pre_topc A C) (tptp.k6_pre_topc B D)))))))) (= (tptp.g1_pre_topc _let_2 (tptp.u1_pre_topc A)) (tptp.g1_pre_topc _let_1 (tptp.u1_pre_topc B)))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (tptp.v2_pre_topc B) (tptp.l1_pre_topc B)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 _let_1)) (=> (and (= C D) (= (tptp.g1_pre_topc (tptp.u1_struct_0 A) (tptp.u1_pre_topc A)) (tptp.g1_pre_topc _let_1 (tptp.u1_pre_topc B))) (tptp.v3_pre_topc C A)) (tptp.v3_pre_topc D B))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (tptp.v2_pre_topc B) (tptp.l1_pre_topc B)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 _let_1)) (=> (and (= C D) (= (tptp.g1_pre_topc (tptp.u1_struct_0 A) (tptp.u1_pre_topc A)) (tptp.g1_pre_topc _let_1 (tptp.u1_pre_topc B)))) (= (tptp.k1_tops_1 A C) (tptp.k1_tops_1 B D)))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (tptp.v2_pre_topc B) (tptp.l1_pre_topc B)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 _let_1)) (=> (and (tptp.r1_tarski C D) (= (tptp.g1_pre_topc (tptp.u1_struct_0 A) (tptp.u1_pre_topc A)) (tptp.g1_pre_topc _let_1 (tptp.u1_pre_topc B)))) (tptp.r1_tarski (tptp.k1_tops_1 A C) (tptp.k1_tops_1 B D)))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (tptp.v2_pre_topc B) (tptp.l1_pre_topc B)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 _let_1)) (=> (and (= C D) (= (tptp.g1_pre_topc (tptp.u1_struct_0 A) (tptp.u1_pre_topc A)) (tptp.g1_pre_topc _let_1 (tptp.u1_pre_topc B))) (tptp.v4_pre_topc C A)) (tptp.v4_pre_topc D B))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (tptp.v2_pre_topc B) (tptp.l1_pre_topc B)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 _let_1)) (=> (and (= C D) (= (tptp.g1_pre_topc (tptp.u1_struct_0 A) (tptp.u1_pre_topc A)) (tptp.g1_pre_topc _let_1 (tptp.u1_pre_topc B)))) (= (tptp.k6_pre_topc A C) (tptp.k6_pre_topc B D)))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (tptp.v2_pre_topc B) (tptp.l1_pre_topc B)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 _let_1)) (=> (and (tptp.r1_tarski C D) (= (tptp.g1_pre_topc (tptp.u1_struct_0 A) (tptp.u1_pre_topc A)) (tptp.g1_pre_topc _let_1 (tptp.u1_pre_topc B)))) (tptp.r1_tarski (tptp.k6_pre_topc A C) (tptp.k6_pre_topc B D)))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (tptp.v2_pre_topc B) (tptp.l1_pre_topc B)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 _let_1)) (=> (and (tptp.r1_tarski D C) (= (tptp.g1_pre_topc (tptp.u1_struct_0 A) (tptp.u1_pre_topc A)) (tptp.g1_pre_topc _let_1 (tptp.u1_pre_topc B))) (tptp.v2_tops_1 C A)) (tptp.v2_tops_1 D B))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (tptp.v2_pre_topc B) (tptp.l1_pre_topc B)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 _let_1)) (=> (and (tptp.r1_tarski C D) (= (tptp.g1_pre_topc (tptp.u1_struct_0 A) (tptp.u1_pre_topc A)) (tptp.g1_pre_topc _let_1 (tptp.u1_pre_topc B))) (tptp.v1_tops_1 C A)) (tptp.v1_tops_1 D B))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (tptp.v2_pre_topc B) (tptp.l1_pre_topc B)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 _let_1)) (=> (and (tptp.r1_tarski D C) (= (tptp.g1_pre_topc (tptp.u1_struct_0 A) (tptp.u1_pre_topc A)) (tptp.g1_pre_topc _let_1 (tptp.u1_pre_topc B))) (tptp.v3_tops_1 C A)) (tptp.v3_tops_1 D B))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_pre_topc B) (tptp.l1_pre_topc B)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 _let_1)) (=> (and (tptp.r1_tarski C D) (= (tptp.g1_pre_topc (tptp.u1_struct_0 A) (tptp.u1_pre_topc A)) (tptp.g1_pre_topc _let_1 (tptp.u1_pre_topc B))) (tptp.v1_tops_3 C A)) (tptp.v1_tops_3 D B))))))))))) (exists ((A $$unsorted)) (and (not (tptp.v1_xboole_0 A)) (tptp.v1_realset1 A))) (forall ((A $$unsorted)) (exists ((B $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 A))) (and (tptp.m1_subset_1 B _let_1) (not (tptp.v1_tex_2 B _let_1)))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 A))) (=> (tptp.m1_subset_1 B _let_1) (=> (not (tptp.v1_tex_2 B _let_1)) (not (tptp.v1_xboole_0 B)))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 A))) (=> (tptp.m1_subset_1 B _let_1) (=> (tptp.v1_xboole_0 B) (tptp.v1_tex_2 B _let_1))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v1_realset1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 A))) (let ((_let_2 (tptp.v1_tex_2 B _let_1))) (=> (tptp.m1_subset_1 B _let_1) (=> _let_2 (and (tptp.v1_xboole_0 B) (tptp.v1_membered B) (tptp.v2_membered B) (tptp.v3_membered B) (tptp.v4_membered B) (tptp.v5_membered B) _let_2)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v1_realset1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 A))) (let ((_let_2 (not (tptp.v1_xboole_0 B)))) (=> (tptp.m1_subset_1 B _let_1) (=> _let_2 (and _let_2 (not (tptp.v1_tex_2 B _let_1)))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (exists ((B $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 A))) (and (tptp.m1_subset_1 B _let_1) (tptp.v1_tex_2 B _let_1)))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (exists ((B $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 A))) (and (tptp.m1_subset_1 B _let_1) (not (tptp.v1_xboole_0 B)) (not (tptp.v1_tex_2 B _let_1))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (exists ((B $$unsorted)) (and (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (not (tptp.v1_xboole_0 B)) (tptp.v1_realset1 B))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k1_tarski A))) (and (not (tptp.v1_xboole_0 _let_1)) (tptp.v1_realset1 _let_1) (tptp.v1_finset_1 _let_1)))) (forall ((A $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v1_realset1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 A))) (let ((_let_2 (not (tptp.v1_tex_2 B _let_1)))) (let ((_let_3 (not (tptp.v1_xboole_0 B)))) (=> (tptp.m1_subset_1 B _let_1) (=> (and _let_3 _let_2) (and _let_3 (tptp.v1_realset1 B) _let_2))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (not (tptp.v1_realset1 A))) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 A))) (let ((_let_2 (not (tptp.v1_xboole_0 B)))) (=> (tptp.m1_subset_1 B _let_1) (=> (and _let_2 (tptp.v1_realset1 B)) (and _let_2 (tptp.v1_tex_2 B _let_1))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (not (tptp.v1_realset1 A))) (forall ((B $$unsorted)) (let ((_let_1 (not (tptp.v1_xboole_0 B)))) (let ((_let_2 (tptp.k1_zfmisc_1 A))) (=> (tptp.m1_subset_1 B _let_2) (=> (and _let_1 (not (tptp.v1_tex_2 B _let_2))) (and _let_1 (not (tptp.v1_realset1 B)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (not (tptp.v1_realset1 A))) (exists ((B $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 A))) (and (tptp.m1_subset_1 B _let_1) (not (tptp.v1_xboole_0 B)) (tptp.v1_realset1 B) (tptp.v1_tex_2 B _let_1)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (not (tptp.v1_realset1 A))) (exists ((B $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 A))) (and (tptp.m1_subset_1 B _let_1) (not (tptp.v1_xboole_0 B)) (not (tptp.v1_realset1 B)) (not (tptp.v1_tex_2 B _let_1))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_realset2 A) (tptp.l1_struct_0 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (let ((_let_2 (not (tptp.v1_xboole_0 B)))) (=> (tptp.m1_subset_1 B _let_1) (=> _let_2 (and _let_2 (not (tptp.v1_tex_2 B _let_1)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_realset2 A) (tptp.l1_struct_0 A)) (forall ((B $$unsorted)) (let ((_let_1 (not (tptp.v1_xboole_0 B)))) (let ((_let_2 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (=> (tptp.m1_subset_1 B _let_2) (=> (and _let_1 (not (tptp.v1_tex_2 B _let_2))) (and _let_1 (tptp.v1_realset1 B))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (not (tptp.v3_realset2 A)) (tptp.l1_struct_0 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (let ((_let_2 (not (tptp.v1_xboole_0 B)))) (=> (tptp.m1_subset_1 B _let_1) (=> (and _let_2 (tptp.v1_realset1 B)) (and _let_2 (tptp.v1_tex_2 B _let_1))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (not (tptp.v3_realset2 A)) (tptp.l1_struct_0 A)) (forall ((B $$unsorted)) (let ((_let_1 (not (tptp.v1_xboole_0 B)))) (let ((_let_2 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (=> (tptp.m1_subset_1 B _let_2) (=> (and _let_1 (not (tptp.v1_tex_2 B _let_2))) (and _let_1 (not (tptp.v1_realset1 B)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (not (tptp.v3_realset2 A)) (tptp.l1_struct_0 A)) (exists ((B $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (and (tptp.m1_subset_1 B _let_1) (not (tptp.v1_xboole_0 B)) (tptp.v1_realset1 B) (tptp.v1_tex_2 B _let_1)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (not (tptp.v3_realset2 A)) (tptp.l1_struct_0 A)) (exists ((B $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (and (tptp.m1_subset_1 B _let_1) (not (tptp.v1_xboole_0 B)) (not (tptp.v1_realset1 B)) (not (tptp.v1_tex_2 B _let_1))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (not (tptp.v3_realset2 A)) (tptp.l1_struct_0 A)) (exists ((B $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (and (tptp.m1_subset_1 B _let_1) (not (tptp.v1_xboole_0 B)) (tptp.v1_realset1 B) (tptp.v1_tex_2 B _let_1)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_realset2 A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (let ((_let_1 (not (tptp.v3_struct_0 B)))) (=> (tptp.m1_pre_topc B A) (=> _let_1 (and _let_1 (not (tptp.v2_tex_2 B A))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_realset2 A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (let ((_let_1 (not (tptp.v3_struct_0 B)))) (=> (tptp.m1_pre_topc B A) (=> (and _let_1 (not (tptp.v2_tex_2 B A))) (and _let_1 (tptp.v3_realset2 B)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (not (tptp.v3_realset2 A)) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (let ((_let_1 (not (tptp.v3_struct_0 B)))) (=> (tptp.m1_pre_topc B A) (=> (and _let_1 (tptp.v3_realset2 B)) (and _let_1 (tptp.v2_tex_2 B A)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (not (tptp.v3_realset2 A)) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (let ((_let_1 (not (tptp.v3_struct_0 B)))) (=> (tptp.m1_pre_topc B A) (=> (and _let_1 (not (tptp.v2_tex_2 B A))) (and _let_1 (not (tptp.v3_realset2 B))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_pre_topc A)) (exists ((B $$unsorted)) (and (tptp.m1_pre_topc B A) (not (tptp.v3_struct_0 B)) (tptp.v1_pre_topc B) (not (tptp.v2_tex_2 B A)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_pre_topc B A) (=> (tptp.v1_tdlat_3 B) (tptp.v2_pre_topc B)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_pre_topc B A) (=> (tptp.v2_tdlat_3 B) (tptp.v2_pre_topc B)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_pre_topc B A) (=> (not (tptp.v2_pre_topc B)) (not (tptp.v1_tdlat_3 B))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_pre_topc B A) (=> (not (tptp.v2_pre_topc B)) (not (tptp.v2_tdlat_3 B))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_pre_topc B A) (=> (tptp.v1_tdlat_3 B) (tptp.v3_tdlat_3 B)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_pre_topc B A) (=> (not (tptp.v3_tdlat_3 B)) (not (tptp.v1_tdlat_3 B))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_pre_topc B A) (=> (tptp.v2_tdlat_3 B) (tptp.v3_tdlat_3 B)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_pre_topc B A) (=> (not (tptp.v3_tdlat_3 B)) (not (tptp.v2_tdlat_3 B))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (let ((_let_1 (not (tptp.v3_struct_0 B)))) (=> (tptp.m1_pre_topc B A) (=> (and _let_1 (tptp.v1_tdlat_3 B) (tptp.v2_tdlat_3 B)) (and _let_1 (tptp.v3_realset2 B)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (let ((_let_1 (not (tptp.v3_struct_0 B)))) (=> (tptp.m1_pre_topc B A) (=> (and _let_1 (tptp.v2_tdlat_3 B) (not (tptp.v3_realset2 B))) (and _let_1 (not (tptp.v1_tdlat_3 B))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (let ((_let_1 (not (tptp.v3_struct_0 B)))) (=> (tptp.m1_pre_topc B A) (=> (and _let_1 (tptp.v1_tdlat_3 B) (not (tptp.v3_realset2 B))) (and _let_1 (not (tptp.v2_tdlat_3 B))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_pre_topc A)) (exists ((B $$unsorted)) (and (tptp.m1_pre_topc B A) (not (tptp.v3_struct_0 B)) (tptp.v1_pre_topc B) (tptp.v3_realset2 B))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k1_tex_2 A B))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_pre_topc A) (tptp.m1_subset_1 B (tptp.u1_struct_0 A))) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v1_pre_topc _let_1) (tptp.v3_realset2 _let_1))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (not (tptp.v3_realset2 A)) (tptp.l1_pre_topc A)) (exists ((B $$unsorted)) (and (tptp.m1_pre_topc B A) (not (tptp.v3_struct_0 B)) (tptp.v1_pre_topc B) (tptp.v3_realset2 B) (tptp.v2_tex_2 B A))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.v3_realset2 B))) (let ((_let_2 (tptp.v2_pre_topc B))) (let ((_let_3 (not (tptp.v3_struct_0 B)))) (=> (tptp.m1_pre_topc B A) (=> (and _let_3 _let_2 _let_1) (and _let_3 _let_2 (tptp.v1_tdlat_3 B) (tptp.v2_tdlat_3 B) (tptp.v3_tdlat_3 B) (tptp.v4_tdlat_3 B) (tptp.v5_tdlat_3 B) _let_1))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (exists ((B $$unsorted)) (and (tptp.m1_pre_topc B A) (not (tptp.v3_struct_0 B)) (tptp.v1_pre_topc B) (tptp.v2_pre_topc B) (tptp.v1_tdlat_3 B) (tptp.v2_tdlat_3 B) (tptp.v3_tdlat_3 B) (tptp.v4_tdlat_3 B) (tptp.v5_tdlat_3 B) (tptp.v3_realset2 B))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k1_tex_2 A B))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A) (tptp.m1_subset_1 B (tptp.u1_struct_0 A))) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v1_pre_topc _let_1) (tptp.v2_pre_topc _let_1) (tptp.v1_tdlat_3 _let_1) (tptp.v2_tdlat_3 _let_1) (tptp.v3_tdlat_3 _let_1) (tptp.v4_tdlat_3 _let_1) (tptp.v5_tdlat_3 _let_1) (tptp.v3_realset2 _let_1))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (exists ((B $$unsorted)) (and (tptp.m1_pre_topc B A) (not (tptp.v3_struct_0 B)) (tptp.v1_pre_topc B) (tptp.v2_pre_topc B) (tptp.v1_tdlat_3 B) (tptp.v2_tdlat_3 B) (tptp.v3_tdlat_3 B) (tptp.v4_tdlat_3 B) (tptp.v5_tdlat_3 B) (tptp.v3_realset2 B))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k1_tex_2 A B))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A) (tptp.m1_subset_1 B (tptp.u1_struct_0 A))) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v1_pre_topc _let_1) (tptp.v2_pre_topc _let_1) (tptp.v1_tdlat_3 _let_1) (tptp.v2_tdlat_3 _let_1) (tptp.v3_tdlat_3 _let_1) (tptp.v4_tdlat_3 _let_1) (tptp.v5_tdlat_3 _let_1) (tptp.v3_realset2 _let_1))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_pre_topc B A) (=> (not (tptp.v2_tex_2 B A)) (and (tptp.v2_pre_topc B) (tptp.v1_tsep_1 B A) (tptp.v1_borsuk_1 B A))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_pre_topc B A) (=> (not (tptp.v1_tsep_1 B A)) (and (tptp.v2_pre_topc B) (tptp.v2_tex_2 B A))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_pre_topc B A) (=> (not (tptp.v1_borsuk_1 B A)) (and (tptp.v2_pre_topc B) (tptp.v2_tex_2 B A))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (exists ((B $$unsorted)) (and (tptp.m1_pre_topc B A) (tptp.v1_pre_topc B) (tptp.v2_pre_topc B) (tptp.v1_tsep_1 B A) (tptp.v1_borsuk_1 B A))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.v1_tdlat_3 A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.v2_tdlat_3 B))) (let ((_let_2 (not (tptp.v3_struct_0 B)))) (=> (tptp.m1_pre_topc B A) (=> (and _let_2 _let_1) (and _let_2 (tptp.v2_pre_topc B) (tptp.v1_tsep_1 B A) (tptp.v1_borsuk_1 B A) (tptp.v1_tdlat_3 B) _let_1 (tptp.v3_tdlat_3 B) (tptp.v4_tdlat_3 B) (tptp.v5_tdlat_3 B) (tptp.v3_realset2 B))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.v1_tdlat_3 A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (let ((_let_1 (not (tptp.v3_realset2 B)))) (let ((_let_2 (not (tptp.v3_struct_0 B)))) (=> (tptp.m1_pre_topc B A) (=> (and _let_2 _let_1) (and _let_2 (tptp.v2_pre_topc B) (tptp.v1_tsep_1 B A) (tptp.v1_borsuk_1 B A) (tptp.v1_tdlat_3 B) (not (tptp.v2_tdlat_3 B)) (tptp.v3_tdlat_3 B) (tptp.v4_tdlat_3 B) (tptp.v5_tdlat_3 B) _let_1)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.v1_tdlat_3 A) (not (tptp.v3_realset2 A)) (tptp.l1_pre_topc A)) (exists ((B $$unsorted)) (and (tptp.m1_pre_topc B A) (tptp.v1_pre_topc B) (tptp.v2_pre_topc B) (tptp.v1_tsep_1 B A) (tptp.v1_borsuk_1 B A) (tptp.v1_tdlat_3 B) (tptp.v3_tdlat_3 B) (tptp.v2_tex_2 B A))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.v2_tdlat_3 A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.v1_tdlat_3 B))) (let ((_let_2 (not (tptp.v3_struct_0 B)))) (=> (tptp.m1_pre_topc B A) (=> (and _let_2 _let_1) (and _let_2 (tptp.v2_pre_topc B) _let_1 (tptp.v2_tdlat_3 B) (tptp.v3_tdlat_3 B) (tptp.v4_tdlat_3 B) (tptp.v5_tdlat_3 B) (tptp.v3_realset2 B))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.v2_tdlat_3 A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (let ((_let_1 (not (tptp.v3_realset2 B)))) (let ((_let_2 (not (tptp.v3_struct_0 B)))) (=> (tptp.m1_pre_topc B A) (=> (and _let_2 _let_1) (and _let_2 (tptp.v2_pre_topc B) (not (tptp.v1_tdlat_3 B)) (tptp.v2_tdlat_3 B) (tptp.v3_tdlat_3 B) (tptp.v4_tdlat_3 B) (tptp.v5_tdlat_3 B) _let_1)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.v2_tdlat_3 A) (not (tptp.v3_realset2 A)) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.v2_tex_2 B A))) (let ((_let_2 (not (tptp.v3_struct_0 B)))) (=> (tptp.m1_pre_topc B A) (=> (and _let_2 _let_1) (and _let_2 (tptp.v2_pre_topc B) (not (tptp.v1_tsep_1 B A)) (not (tptp.v1_borsuk_1 B A)) (tptp.v2_tdlat_3 B) (tptp.v3_tdlat_3 B) (tptp.v4_tdlat_3 B) (tptp.v5_tdlat_3 B) _let_1)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.v2_tdlat_3 A) (not (tptp.v3_realset2 A)) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.v1_tdlat_3 B))) (let ((_let_2 (not (tptp.v3_struct_0 B)))) (=> (tptp.m1_pre_topc B A) (=> (and _let_2 _let_1) (and _let_2 (tptp.v2_pre_topc B) _let_1 (tptp.v2_tdlat_3 B) (tptp.v3_tdlat_3 B) (tptp.v4_tdlat_3 B) (tptp.v5_tdlat_3 B) (tptp.v3_realset2 B) (tptp.v2_tex_2 B A))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.v2_tdlat_3 A) (not (tptp.v3_realset2 A)) (tptp.l1_pre_topc A)) (exists ((B $$unsorted)) (and (tptp.m1_pre_topc B A) (tptp.v1_pre_topc B) (tptp.v2_pre_topc B) (not (tptp.v1_tsep_1 B A)) (not (tptp.v1_borsuk_1 B A)) (tptp.v2_tdlat_3 B) (tptp.v3_tdlat_3 B) (tptp.v2_tex_2 B A))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.v3_tdlat_3 A) (not (tptp.v3_realset2 A)) (tptp.l1_pre_topc A)) (exists ((B $$unsorted)) (and (tptp.m1_pre_topc B A) (not (tptp.v3_struct_0 B)) (tptp.v1_pre_topc B) (tptp.v2_pre_topc B) (tptp.v3_tdlat_3 B) (tptp.v4_tdlat_3 B) (tptp.v5_tdlat_3 B) (tptp.v2_tex_2 B A))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (let ((_let_1 (not (tptp.v3_struct_0 B)))) (=> (tptp.m1_pre_topc B A) (=> (and _let_1 (tptp.v5_tex_2 B A)) (and _let_1 (tptp.v2_pre_topc B) (tptp.v1_tdlat_3 B) (tptp.v3_tdlat_3 B) (tptp.v4_tdlat_3 B) (tptp.v5_tdlat_3 B)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (let ((_let_1 (not (tptp.v3_struct_0 B)))) (=> (tptp.m1_pre_topc B A) (=> (and _let_1 (not (tptp.v1_tdlat_3 B))) (and _let_1 (not (tptp.v5_tex_2 B A))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.v1_tdlat_3 A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_pre_topc B A) (=> (tptp.v5_tex_2 B A) (and (tptp.v2_pre_topc B) (tptp.v1_tsep_1 B A) (tptp.v1_borsuk_1 B A) (tptp.v1_tdlat_3 B) (tptp.v3_tdlat_3 B) (not (tptp.v2_tex_2 B A)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.v1_tdlat_3 A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_pre_topc B A) (=> (tptp.v2_tex_2 B A) (and (tptp.v2_pre_topc B) (tptp.v1_tsep_1 B A) (tptp.v1_borsuk_1 B A) (tptp.v1_tdlat_3 B) (tptp.v3_tdlat_3 B) (not (tptp.v5_tex_2 B A)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.v1_tdlat_3 A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_pre_topc B A) (=> (not (tptp.v2_tex_2 B A)) (and (tptp.v2_pre_topc B) (tptp.v1_tsep_1 B A) (tptp.v1_borsuk_1 B A) (tptp.v1_tdlat_3 B) (tptp.v3_tdlat_3 B) (tptp.v5_tex_2 B A))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.v1_tdlat_3 A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_pre_topc B A) (=> (not (tptp.v5_tex_2 B A)) (and (tptp.v2_pre_topc B) (tptp.v1_tsep_1 B A) (tptp.v1_borsuk_1 B A) (tptp.v1_tdlat_3 B) (tptp.v3_tdlat_3 B) (tptp.v2_tex_2 B A))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.v2_tdlat_3 A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (let ((_let_1 (not (tptp.v3_struct_0 B)))) (=> (tptp.m1_pre_topc B A) (=> (and _let_1 (tptp.v5_tex_2 B A)) (and _let_1 (tptp.v2_pre_topc B) (tptp.v1_tdlat_3 B) (tptp.v2_tdlat_3 B) (tptp.v3_tdlat_3 B) (tptp.v4_tdlat_3 B) (tptp.v5_tdlat_3 B) (tptp.v3_realset2 B)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.v2_tdlat_3 A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (let ((_let_1 (not (tptp.v3_struct_0 B)))) (=> (tptp.m1_pre_topc B A) (=> (and _let_1 (not (tptp.v3_realset2 B))) (and _let_1 (tptp.v2_pre_topc B) (tptp.v2_tdlat_3 B) (tptp.v3_tdlat_3 B) (tptp.v4_tdlat_3 B) (tptp.v5_tdlat_3 B) (not (tptp.v5_tex_2 B A))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.v2_tdlat_3 A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.v3_realset2 B))) (let ((_let_2 (not (tptp.v3_struct_0 B)))) (=> (tptp.m1_pre_topc B A) (=> (and _let_2 _let_1) (and _let_2 (tptp.v2_pre_topc B) (tptp.v1_tdlat_3 B) (tptp.v2_tdlat_3 B) (tptp.v3_tdlat_3 B) (tptp.v4_tdlat_3 B) (tptp.v5_tdlat_3 B) _let_1 (tptp.v5_tex_2 B A))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.v2_tdlat_3 A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (let ((_let_1 (not (tptp.v5_tex_2 B A)))) (let ((_let_2 (not (tptp.v3_struct_0 B)))) (=> (tptp.m1_pre_topc B A) (=> (and _let_2 _let_1) (and _let_2 (tptp.v2_pre_topc B) (not (tptp.v1_tdlat_3 B)) (tptp.v2_tdlat_3 B) (tptp.v3_tdlat_3 B) (tptp.v4_tdlat_3 B) (tptp.v5_tdlat_3 B) (not (tptp.v3_realset2 B)) _let_1)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (not (tptp.v1_tdlat_3 A)) (tptp.v3_tdlat_3 A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (let ((_let_1 (not (tptp.v3_struct_0 B)))) (=> (tptp.m1_pre_topc B A) (=> (and _let_1 (tptp.v5_tex_2 B A)) (and _let_1 (tptp.v2_pre_topc B) (tptp.v3_tdlat_3 B) (tptp.v4_tdlat_3 B) (tptp.v5_tdlat_3 B) (tptp.v2_tex_2 B A)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (not (tptp.v1_tdlat_3 A)) (tptp.v3_tdlat_3 A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (let ((_let_1 (not (tptp.v3_struct_0 B)))) (=> (tptp.m1_pre_topc B A) (=> (and _let_1 (not (tptp.v2_tex_2 B A))) (and _let_1 (tptp.v2_pre_topc B) (tptp.v3_tdlat_3 B) (tptp.v4_tdlat_3 B) (tptp.v5_tdlat_3 B) (not (tptp.v5_tex_2 B A))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (not (tptp.v2_tdlat_3 A)) (tptp.v3_tdlat_3 A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (let ((_let_1 (not (tptp.v3_struct_0 B)))) (=> (tptp.m1_pre_topc B A) (=> (and _let_1 (tptp.v5_tex_2 B A)) (and _let_1 (tptp.v2_pre_topc B) (tptp.v3_tdlat_3 B) (tptp.v4_tdlat_3 B) (tptp.v5_tdlat_3 B) (not (tptp.v3_realset2 B))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (not (tptp.v2_tdlat_3 A)) (tptp.v3_tdlat_3 A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (let ((_let_1 (not (tptp.v3_struct_0 B)))) (=> (tptp.m1_pre_topc B A) (=> (and _let_1 (tptp.v3_realset2 B)) (and _let_1 (tptp.v2_pre_topc B) (tptp.v3_tdlat_3 B) (tptp.v4_tdlat_3 B) (tptp.v5_tdlat_3 B) (not (tptp.v5_tex_2 B A))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.v3_tdlat_3 A) (tptp.l1_pre_topc A)) (exists ((B $$unsorted)) (and (tptp.m1_pre_topc B A) (not (tptp.v3_struct_0 B)) (tptp.v1_pre_topc B) (tptp.v2_pre_topc B) (tptp.v1_tdlat_3 B) (tptp.v3_tdlat_3 B) (tptp.v4_tdlat_3 B) (tptp.v5_tdlat_3 B) (tptp.v5_tex_2 B A))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (= (tptp.v1_realset1 A) (exists ((B $$unsorted)) (and (tptp.m1_subset_1 B A) (= A (tptp.k6_domain_1 A B))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.v1_realset1 B)) (=> (tptp.r1_tarski A B) (= A B)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v1_realset1 A)) (forall ((B $$unsorted)) (=> (not (tptp.v1_xboole_0 (tptp.k3_xboole_0 A B))) (tptp.r1_tarski A B))))) true (forall ((A $$unsorted)) (=> (tptp.l1_struct_0 A) (forall ((B $$unsorted)) (=> (tptp.l1_struct_0 B) (=> (and (= (tptp.u1_struct_0 A) (tptp.u1_struct_0 B)) (tptp.v3_realset2 A)) (tptp.v3_realset2 B)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B A) (= (tptp.v1_tex_2 B A) (not (= B (tptp.k3_tarski A)))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 A))) (=> (tptp.m1_subset_1 B _let_1) (= (tptp.v1_tex_2 B _let_1) (not (= B A)))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B A) (not (and (tptp.v1_tex_2 (tptp.k6_domain_1 A B) (tptp.k1_zfmisc_1 A)) (tptp.v1_realset1 A))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (not (tptp.v1_realset1 A))) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B A) (tptp.v1_tex_2 (tptp.k6_domain_1 A B) (tptp.k1_zfmisc_1 A)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_struct_0 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 B _let_1) (not (and (tptp.v1_tex_2 (tptp.k1_struct_0 A B) (tptp.k1_zfmisc_1 _let_1)) (tptp.v3_realset2 A)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (not (tptp.v3_realset2 A)) (tptp.l1_struct_0 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 B _let_1) (tptp.v1_tex_2 (tptp.k1_struct_0 A B) (tptp.k1_zfmisc_1 _let_1))))))) true true (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (forall ((B $$unsorted)) (=> (tptp.l1_pre_topc B) (=> (and (= (tptp.g1_pre_topc (tptp.u1_struct_0 A) (tptp.u1_pre_topc A)) (tptp.g1_pre_topc (tptp.u1_struct_0 B) (tptp.u1_pre_topc B))) (tptp.v2_pre_topc A)) (tptp.v2_pre_topc B)))))) (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (forall ((B $$unsorted)) (=> (tptp.m1_pre_topc B A) (= (tptp.v2_tex_2 B A) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (=> (tptp.m1_subset_1 C _let_1) (=> (= C (tptp.u1_struct_0 B)) (tptp.v1_tex_2 C _let_1)))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (forall ((B $$unsorted)) (=> (tptp.m1_pre_topc B A) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (=> (tptp.m1_subset_1 C _let_1) (=> (= C (tptp.u1_struct_0 B)) (= (tptp.v1_tex_2 C _let_1) (tptp.v2_tex_2 B A)))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (forall ((B $$unsorted)) (=> (tptp.m1_pre_topc B A) (forall ((C $$unsorted)) (=> (tptp.m1_pre_topc C A) (=> (and (= (tptp.g1_pre_topc (tptp.u1_struct_0 B) (tptp.u1_pre_topc B)) (tptp.g1_pre_topc (tptp.u1_struct_0 C) (tptp.u1_pre_topc C))) (tptp.v2_tex_2 B A)) (tptp.v2_tex_2 C A)))))))) (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (forall ((B $$unsorted)) (=> (tptp.m1_pre_topc B A) (not (and (= (tptp.u1_struct_0 B) (tptp.u1_struct_0 A)) (tptp.v2_tex_2 B A))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v2_tex_2 B A)) (tptp.m1_pre_topc B A)) (= (tptp.g1_pre_topc (tptp.u1_struct_0 B) (tptp.u1_pre_topc B)) (tptp.g1_pre_topc (tptp.u1_struct_0 A) (tptp.u1_pre_topc A))))))) (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (forall ((B $$unsorted)) (=> (tptp.l1_pre_topc B) (=> (and (= (tptp.g1_pre_topc (tptp.u1_struct_0 A) (tptp.u1_pre_topc A)) (tptp.g1_pre_topc (tptp.u1_struct_0 B) (tptp.u1_pre_topc B))) (tptp.v1_tdlat_3 A)) (tptp.v1_tdlat_3 B)))))) (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (forall ((B $$unsorted)) (=> (tptp.l1_pre_topc B) (=> (and (= (tptp.g1_pre_topc (tptp.u1_struct_0 A) (tptp.u1_pre_topc A)) (tptp.g1_pre_topc (tptp.u1_struct_0 B) (tptp.u1_pre_topc B))) (tptp.v2_tdlat_3 A)) (tptp.v2_tdlat_3 B)))))) (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (forall ((B $$unsorted)) (=> (tptp.l1_pre_topc B) (=> (and (= (tptp.g1_pre_topc (tptp.u1_struct_0 A) (tptp.u1_pre_topc A)) (tptp.g1_pre_topc (tptp.u1_struct_0 B) (tptp.u1_pre_topc B))) (tptp.v3_tdlat_3 A)) (tptp.v3_tdlat_3 B)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.v1_pre_topc C) (tptp.m1_pre_topc C A)) (= (= C (tptp.k1_tex_2 A B)) (= (tptp.u1_struct_0 C) (tptp.k1_struct_0 A B))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 B _let_1) (= (tptp.v2_tex_2 (tptp.k1_tex_2 A B) A) (tptp.v1_tex_2 (tptp.k1_struct_0 A B) (tptp.k1_zfmisc_1 _let_1)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (not (and (tptp.v2_tex_2 (tptp.k1_tex_2 A B) A) (tptp.v3_realset2 A))))))) true (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_realset2 B) (tptp.m1_pre_topc B A)) (exists ((C $$unsorted)) (let ((_let_1 (tptp.k1_tex_2 A C))) (and (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (tptp.g1_pre_topc (tptp.u1_struct_0 B) (tptp.u1_pre_topc B)) (tptp.g1_pre_topc (tptp.u1_struct_0 _let_1) (tptp.u1_pre_topc _let_1)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k1_tex_2 A B))) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (=> (tptp.v2_pre_topc _let_1) (and (tptp.v1_tdlat_3 _let_1) (tptp.v2_tdlat_3 _let_1)))))))) (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (tptp.v3_tex_2 B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (not (and (tptp.r1_tarski C B) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 _let_1)) (not (and (tptp.v3_pre_topc D A) (= (tptp.k5_subset_1 _let_1 B D) C))))))))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (tptp.v3_tex_2 B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (not (and (tptp.r1_tarski C B) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 _let_1)) (not (and (tptp.v4_pre_topc D A) (= (tptp.k5_subset_1 _let_1 B D) C))))))))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (forall ((B $$unsorted)) (=> (tptp.l1_pre_topc B) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 _let_1)) (=> (and (= (tptp.g1_pre_topc (tptp.u1_struct_0 A) (tptp.u1_pre_topc A)) (tptp.g1_pre_topc _let_1 (tptp.u1_pre_topc B))) (= C D) (tptp.v3_tex_2 C A)) (tptp.v3_tex_2 D B))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.m1_pre_topc B A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (= C (tptp.u1_struct_0 B)) (= (tptp.v3_tex_2 C A) (tptp.v1_tdlat_3 B))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 _let_1)) (=> (= B _let_1) (= (tptp.v3_tex_2 B A) (tptp.v1_tdlat_3 A)))))))) (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (and (tptp.r1_tarski C B) (tptp.v3_tex_2 B A)) (tptp.v3_tex_2 C A)))))))) (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 _let_1)) (=> (or (tptp.v3_tex_2 B A) (tptp.v3_tex_2 C A)) (tptp.v3_tex_2 (tptp.k5_subset_1 _let_1 B C) A))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (=> (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 _let_1)) (=> (and (tptp.v3_pre_topc B A) (tptp.v3_pre_topc C A)) (and (tptp.v3_pre_topc (tptp.k5_subset_1 _let_1 B C) A) (tptp.v3_pre_topc (tptp.k4_subset_1 _let_1 B C) A)))))))) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 _let_1)) (=> (and (tptp.v3_pre_topc B A) (tptp.v3_pre_topc C A) (tptp.v3_tex_2 B A) (tptp.v3_tex_2 C A)) (tptp.v3_tex_2 (tptp.k4_subset_1 _let_1 B C) A)))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (=> (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 _let_1)) (=> (and (tptp.v4_pre_topc B A) (tptp.v4_pre_topc C A)) (and (tptp.v4_pre_topc (tptp.k5_subset_1 _let_1 B C) A) (tptp.v4_pre_topc (tptp.k4_subset_1 _let_1 B C) A)))))))) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 _let_1)) (=> (and (tptp.v4_pre_topc B A) (tptp.v4_pre_topc C A) (tptp.v3_tex_2 B A) (tptp.v3_tex_2 C A)) (tptp.v3_tex_2 (tptp.k4_subset_1 _let_1 B C) A)))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (tptp.v3_tex_2 B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (not (and (tptp.r2_hidden C B) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 _let_1)) (not (and (tptp.v3_pre_topc D A) (= (tptp.k5_subset_1 _let_1 B D) (tptp.k1_tarski C)))))))))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (tptp.v3_tex_2 B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (not (and (tptp.r2_hidden C B) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 _let_1)) (not (and (tptp.v4_pre_topc D A) (= (tptp.k5_subset_1 _let_1 B D) (tptp.k1_tarski C)))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (not (and (tptp.v3_tex_2 B A) (forall ((C $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.v1_pre_topc C) (tptp.v1_tdlat_3 C) (tptp.m1_pre_topc C A)) (not (= B (tptp.u1_struct_0 C))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_xboole_0 B) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (tptp.v3_tex_2 B A))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (tptp.v3_tex_2 (tptp.k1_struct_0 A B) A))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (not (and (tptp.r2_hidden C B) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 _let_1)) (not (and (tptp.v3_pre_topc D A) (= (tptp.k5_subset_1 _let_1 B D) (tptp.k1_struct_0 A C))))))))))) (tptp.v3_tex_2 B A)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 _let_1)) (=> (and (tptp.v3_pre_topc B A) (tptp.v3_pre_topc C A) (tptp.v3_tex_2 B A) (tptp.v3_tex_2 C A)) (tptp.v3_tex_2 (tptp.k4_subset_1 _let_1 B C) A))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 _let_1)) (=> (and (tptp.v4_pre_topc B A) (tptp.v4_pre_topc C A) (tptp.v3_tex_2 B A) (tptp.v3_tex_2 C A)) (tptp.v3_tex_2 (tptp.k4_subset_1 _let_1 B C) A))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_tops_3 B A) (tptp.v3_tex_2 B A)) (tptp.v3_pre_topc B A)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (tptp.v3_tex_2 B A) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 _let_1)) (=> (tptp.r1_tarski C B) (= (tptp.k5_subset_1 _let_1 B (tptp.k6_pre_topc A C)) C)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (tptp.v3_tex_2 B A) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k1_struct_0 A C))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 C _let_2) (=> (tptp.r2_hidden C B) (= (tptp.k5_subset_1 _let_2 B (tptp.k6_pre_topc A _let_1)) _let_1))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.v1_tdlat_3 A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (tptp.v3_tex_2 B A))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.v2_tdlat_3 A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (= (tptp.v3_tex_2 B A) (tptp.v1_realset1 B)))))) (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (tptp.v4_tex_2 B A) (and (tptp.v3_tex_2 B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (and (tptp.v3_tex_2 C A) (tptp.r1_tarski B C)) (= B C)))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (forall ((B $$unsorted)) (=> (tptp.l1_pre_topc B) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 _let_1)) (=> (and (= (tptp.g1_pre_topc (tptp.u1_struct_0 A) (tptp.u1_pre_topc A)) (tptp.g1_pre_topc _let_1 (tptp.u1_pre_topc B))) (= C D) (tptp.v4_tex_2 C A)) (tptp.v4_tex_2 D B))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_xboole_0 B) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (not (tptp.v4_tex_2 B A)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (and (tptp.v3_pre_topc B A) (tptp.v4_tex_2 B A)) (tptp.v1_tops_1 B A)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_tops_1 B A) (tptp.v3_tex_2 B A)) (tptp.v4_tex_2 B A)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.v1_tdlat_3 A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (=> (tptp.m1_subset_1 B _let_1) (= (tptp.v4_tex_2 B A) (not (tptp.v1_tex_2 B _let_1)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.v2_tdlat_3 A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (= (tptp.v4_tex_2 B A) (tptp.v1_realset1 B)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_pre_topc B A) (= (tptp.v5_tex_2 B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (= C (tptp.u1_struct_0 B)) (tptp.v4_tex_2 C A))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_pre_topc B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (= C (tptp.u1_struct_0 B)) (= (tptp.v4_tex_2 C A) (tptp.v5_tex_2 B A))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.m1_pre_topc B A)) (= (tptp.v5_tex_2 B A) (and (tptp.v1_tdlat_3 B) (forall ((C $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.v1_tdlat_3 C) (tptp.m1_pre_topc C A)) (=> (tptp.m1_pre_topc B C) (= (tptp.g1_pre_topc (tptp.u1_struct_0 B) (tptp.u1_pre_topc B)) (tptp.g1_pre_topc (tptp.u1_struct_0 C) (tptp.u1_pre_topc C)))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (not (and (tptp.v4_tex_2 B A) (forall ((C $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.v1_pre_topc C) (tptp.m1_pre_topc C A)) (not (and (tptp.v5_tex_2 C A) (= B (tptp.u1_struct_0 C)))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.v3_tdlat_3 A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k6_pre_topc A (tptp.k1_struct_0 A C)))) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (=> (tptp.r2_hidden B _let_1) (= (tptp.k6_pre_topc A (tptp.k1_struct_0 A B)) _let_1))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.v3_tdlat_3 A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k6_pre_topc A (tptp.k1_struct_0 A C)))) (let ((_let_2 (tptp.k6_pre_topc A (tptp.k1_struct_0 A B)))) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (or (tptp.r1_xboole_0 _let_2 _let_1) (= _let_2 _let_1)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.v3_tdlat_3 A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (not (and (tptp.r2_hidden C B) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 _let_1)) (not (and (tptp.v4_pre_topc D A) (= (tptp.k5_subset_1 _let_1 B D) (tptp.k1_struct_0 A C))))))))))) (tptp.v3_tex_2 B A)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.v3_tdlat_3 A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (forall ((C $$unsorted)) (let ((_let_1 (tptp.k1_struct_0 A C))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 C _let_2) (=> (tptp.r2_hidden C B) (= (tptp.k5_subset_1 _let_2 B (tptp.k6_pre_topc A _let_1)) _let_1)))))) (tptp.v3_tex_2 B A)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.v3_tdlat_3 A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (tptp.v3_tex_2 B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (=> (and (tptp.r2_hidden C B) (tptp.r2_hidden D B)) (or (= C D) (tptp.r1_xboole_0 (tptp.k6_pre_topc A (tptp.k1_struct_0 A C)) (tptp.k6_pre_topc A (tptp.k1_struct_0 A D)))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.v3_tdlat_3 A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (tptp.v3_tex_2 B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (not (and (tptp.r2_hidden C (tptp.k6_pre_topc A B)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 D _let_1) (not (and (tptp.r2_hidden D B) (= (tptp.k5_subset_1 _let_1 B (tptp.k6_pre_topc A (tptp.k1_struct_0 A C))) (tptp.k1_struct_0 A D)))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.v3_tdlat_3 A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (=> (tptp.m1_subset_1 B _let_1) (not (and (or (tptp.v3_pre_topc B A) (tptp.v4_pre_topc B A)) (tptp.v4_tex_2 B A) (tptp.v1_tex_2 B _let_1)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.v3_tdlat_3 A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (tptp.v4_tex_2 B A) (tptp.v1_tops_1 B A)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.v3_tdlat_3 A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (tptp.v4_tex_2 B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (exists ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (and (tptp.m1_subset_1 D _let_1) (tptp.r2_hidden D B) (= (tptp.k5_subset_1 _let_1 B (tptp.k6_pre_topc A (tptp.k1_struct_0 A C))) (tptp.k1_struct_0 A D)))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.v3_tdlat_3 A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (not (and (tptp.v3_tex_2 B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (not (and (tptp.r1_tarski B C) (tptp.v4_tex_2 C A))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.v3_tdlat_3 A) (tptp.l1_pre_topc A)) (exists ((B $$unsorted)) (and (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (tptp.v4_tex_2 B A))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.v3_tdlat_3 A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v1_tdlat_3 B) (tptp.m1_pre_topc B A)) (exists ((C $$unsorted)) (and (not (tptp.v3_struct_0 C)) (tptp.v1_pre_topc C) (tptp.m1_pre_topc C A) (tptp.m1_pre_topc B C) (tptp.v5_tex_2 C A))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.v1_tdlat_3 A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (tptp.v2_pre_topc B) (tptp.l1_pre_topc B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.m2_relset_1 C _let_2 _let_1)) (tptp.v5_pre_topc C A B))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (=> (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_pre_topc B) (tptp.l1_pre_topc B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.m2_relset_1 C _let_2 _let_1)) (tptp.v5_pre_topc C A B))))))) (tptp.v1_tdlat_3 A)))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_pre_topc B) (tptp.v2_tdlat_3 B) (tptp.l1_pre_topc B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.m2_relset_1 C _let_2 _let_1)) (tptp.v5_pre_topc C A B))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (=> (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_pre_topc B) (tptp.l1_pre_topc B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.u1_struct_0 B))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.m2_relset_1 C _let_2 _let_1)) (tptp.v5_pre_topc C B A))))))) (tptp.v2_tdlat_3 A)))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.v1_tdlat_3 A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.m1_pre_topc B A)) (exists ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.v5_pre_topc C A B) (tptp.m2_relset_1 C _let_2 _let_1) (tptp.v3_borsuk_1 C A B))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.v1_tdlat_3 A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.m1_pre_topc B A)) (tptp.r1_borsuk_1 A B))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.v3_tdlat_3 A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v5_tex_2 B A) (tptp.m1_pre_topc B A)) (exists ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.v5_pre_topc C A B) (tptp.m2_relset_1 C _let_2 _let_1) (tptp.v3_borsuk_1 C A B))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.v3_tdlat_3 A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v5_tex_2 B A) (tptp.m1_pre_topc B A)) (tptp.r1_borsuk_1 A B))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.v3_tdlat_3 A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v5_tex_2 B A) (tptp.m1_pre_topc B A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.v5_pre_topc C A B) (tptp.m2_relset_1 C _let_2 _let_1)) (=> (tptp.v3_borsuk_1 C A B) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B))) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (= D E) (= (tptp.k5_pre_topc A B C D) (tptp.k6_pre_topc A E)))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.v3_tdlat_3 A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v5_tex_2 B A) (tptp.m1_pre_topc B A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.v5_pre_topc C A B) (tptp.m2_relset_1 C _let_2 _let_1)) (=> (tptp.v3_borsuk_1 C A B) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 B)) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.u1_struct_0 A)) (=> (= D E) (= (tptp.k5_pre_topc A B C (tptp.k1_struct_0 B D)) (tptp.k6_pre_topc A (tptp.k1_struct_0 A E))))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.v3_tdlat_3 A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v1_tdlat_3 B) (tptp.m1_pre_topc B A)) (exists ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.v5_pre_topc C A B) (tptp.m2_relset_1 C _let_2 _let_1) (tptp.v3_borsuk_1 C A B))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.v3_tdlat_3 A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v1_tdlat_3 B) (tptp.m1_pre_topc B A)) (tptp.r1_borsuk_1 A B))))) (=> (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A (tptp.k1_zfmisc_1 (tptp.u1_struct_0 tptp.f1_s1_tex_2))) (not (and (tptp.r2_hidden A tptp.f2_s1_tex_2) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 tptp.f1_s1_tex_2)) (not (tptp.p1_s1_tex_2 A B)))))))) (exists ((A $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 tptp.f1_s1_tex_2))) (and (tptp.v1_funct_1 A) (tptp.v1_funct_2 A tptp.f2_s1_tex_2 _let_1) (tptp.m2_relset_1 A tptp.f2_s1_tex_2 _let_1) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 tptp.f1_s1_tex_2))) (=> (tptp.r2_hidden B tptp.f2_s1_tex_2) (tptp.p1_s1_tex_2 B (tptp.k1_funct_1 A B))))))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k1_tex_2 A B))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_pre_topc A) (tptp.m1_subset_1 B (tptp.u1_struct_0 A))) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v1_pre_topc _let_1) (tptp.m1_pre_topc _let_1 A))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.v3_tdlat_3 A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (tptp.k6_pre_topc A B) (tptp.k3_tarski (tptp.a_2_0_tex_2 A B))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.v3_tdlat_3 A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 _let_1)) (=> (tptp.v4_tex_2 B A) (= (tptp.k3_tarski (tptp.a_2_0_tex_2 A B)) _let_1))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_pre_topc B) (tptp.v3_tdlat_3 B) (tptp.l1_pre_topc B) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B)))) (= (tptp.r2_hidden A (tptp.a_2_0_tex_2 B C)) (exists ((D $$unsorted)) (and (tptp.m1_subset_1 D (tptp.u1_struct_0 B)) (= A (tptp.k6_pre_topc B (tptp.k1_struct_0 B D))) (tptp.r2_hidden D C)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.v1_borsuk_1 B A))) (=> (tptp.m1_pre_topc B A) (=> (and _let_1 (tptp.v1_tex_3 B A)) (and (tptp.v2_pre_topc B) _let_1 (tptp.v1_tsep_1 B A) (not (tptp.v2_tex_2 B A))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.v2_tex_2 B A))) (=> (tptp.m1_pre_topc B A) (=> (and _let_1 (tptp.v1_tex_3 B A)) (and (tptp.v2_pre_topc B) (not (tptp.v1_borsuk_1 B A)) _let_1))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_pre_topc B A) (=> (and (tptp.v1_borsuk_1 B A) (tptp.v2_tex_2 B A)) (and (tptp.v2_pre_topc B) (not (tptp.v1_tex_3 B A)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (exists ((B $$unsorted)) (and (tptp.m1_pre_topc B A) (not (tptp.v3_struct_0 B)) (tptp.v1_pre_topc B) (tptp.v2_pre_topc B) (tptp.v1_tex_3 B A))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_pre_topc B A) (=> (tptp.v2_tex_3 B A) (and (tptp.v2_pre_topc B) (tptp.v1_tex_3 B A))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_pre_topc B A) (=> (not (tptp.v1_tex_3 B A)) (and (tptp.v2_pre_topc B) (not (tptp.v2_tex_3 B A)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_pre_topc B A) (=> (not (tptp.v2_tex_2 B A)) (and (tptp.v2_pre_topc B) (tptp.v2_tex_3 B A))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_pre_topc B A) (=> (not (tptp.v2_tex_3 B A)) (and (tptp.v2_pre_topc B) (tptp.v2_tex_2 B A))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (exists ((B $$unsorted)) (and (tptp.m1_pre_topc B A) (not (tptp.v3_struct_0 B)) (tptp.v1_pre_topc B) (tptp.v2_pre_topc B) (tptp.v1_tex_3 B A) (tptp.v2_tex_3 B A))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.v1_tex_3 B A))) (=> (tptp.m1_pre_topc B A) (=> (and (tptp.v1_tsep_1 B A) _let_1) (and (tptp.v2_pre_topc B) _let_1 (tptp.v2_tex_3 B A)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_pre_topc B A) (=> (and (tptp.v1_tex_3 B A) (not (tptp.v2_tex_3 B A))) (and (tptp.v2_pre_topc B) (not (tptp.v1_tsep_1 B A)) (tptp.v2_tex_2 B A))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (let ((_let_1 (not (tptp.v2_tex_3 B A)))) (=> (tptp.m1_pre_topc B A) (=> (and (tptp.v1_tsep_1 B A) _let_1) (and (tptp.v2_pre_topc B) (tptp.v2_tex_2 B A) (not (tptp.v1_tex_3 B A)) _let_1))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (exists ((B $$unsorted)) (and (tptp.m1_pre_topc B A) (not (tptp.v3_struct_0 B)) (tptp.v1_pre_topc B) (tptp.v2_pre_topc B) (tptp.v1_tsep_1 B A) (tptp.v1_tex_3 B A) (tptp.v2_tex_3 B A))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (let ((_let_1 (not (tptp.v3_struct_0 B)))) (=> (tptp.m1_pre_topc B A) (=> (and _let_1 (tptp.v1_tsep_1 B A)) (and _let_1 (tptp.v2_pre_topc B) (not (tptp.v3_tex_3 B A))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (let ((_let_1 (not (tptp.v3_struct_0 B)))) (=> (tptp.m1_pre_topc B A) (=> (and _let_1 (tptp.v3_tex_3 B A)) (and _let_1 (tptp.v2_pre_topc B) (not (tptp.v1_tsep_1 B A)) (tptp.v2_tex_2 B A)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_pre_topc B A) (=> (tptp.v2_tex_3 B A) (and (tptp.v2_pre_topc B) (not (tptp.v3_tex_3 B A)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_pre_topc B A) (=> (tptp.v3_tex_3 B A) (and (tptp.v2_pre_topc B) (tptp.v2_tex_2 B A) (not (tptp.v2_tex_3 B A)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_pre_topc B A) (=> (tptp.v4_tex_3 B A) (and (tptp.v2_pre_topc B) (tptp.v2_tex_2 B A) (not (tptp.v2_tex_3 B A)) (tptp.v3_tex_3 B A))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_pre_topc B A) (=> (not (tptp.v3_tex_3 B A)) (and (tptp.v2_pre_topc B) (not (tptp.v4_tex_3 B A)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_pre_topc B A) (=> (tptp.v4_tex_3 B A) (and (tptp.v2_pre_topc B) (tptp.v2_tex_2 B A) (not (tptp.v1_tex_3 B A)) (not (tptp.v2_tex_3 B A)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_pre_topc B A) (=> (tptp.v1_tex_3 B A) (and (tptp.v2_pre_topc B) (not (tptp.v4_tex_3 B A)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.v3_tex_3 B A))) (=> (tptp.m1_pre_topc B A) (=> (and (tptp.v1_borsuk_1 B A) _let_1) (and (tptp.v2_pre_topc B) (tptp.v2_tex_2 B A) (not (tptp.v1_tex_3 B A)) (not (tptp.v2_tex_3 B A)) _let_1 (tptp.v4_tex_3 B A)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_pre_topc B A) (=> (and (tptp.v3_tex_3 B A) (not (tptp.v4_tex_3 B A))) (and (tptp.v2_pre_topc B) (not (tptp.v1_borsuk_1 B A)) (tptp.v2_tex_2 B A))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (let ((_let_1 (not (tptp.v4_tex_3 B A)))) (=> (tptp.m1_pre_topc B A) (=> (and (tptp.v1_borsuk_1 B A) _let_1) (and (tptp.v2_pre_topc B) (not (tptp.v3_tex_3 B A)) _let_1))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.v1_tdlat_3 A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (let ((_let_1 (not (tptp.v3_struct_0 B)))) (=> (tptp.m1_pre_topc B A) (=> _let_1 (and _let_1 (tptp.v2_pre_topc B) (tptp.v1_borsuk_1 B A) (tptp.v1_tsep_1 B A) (tptp.v1_tdlat_3 B) (tptp.v3_tdlat_3 B) (tptp.v4_tdlat_3 B) (tptp.v5_tdlat_3 B) (not (tptp.v3_tex_3 B A)) (not (tptp.v4_tex_3 B A))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.v1_tdlat_3 A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.v2_tex_2 B A))) (=> (tptp.m1_pre_topc B A) (=> _let_1 (and (tptp.v2_pre_topc B) (tptp.v1_borsuk_1 B A) (tptp.v1_tsep_1 B A) (tptp.v1_tdlat_3 B) (tptp.v3_tdlat_3 B) _let_1 (not (tptp.v5_tex_2 B A)) (not (tptp.v1_tex_3 B A)) (not (tptp.v2_tex_3 B A))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.v1_tdlat_3 A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.v1_tex_3 B A))) (=> (tptp.m1_pre_topc B A) (=> _let_1 (and (tptp.v2_pre_topc B) (tptp.v1_borsuk_1 B A) (tptp.v1_tsep_1 B A) (tptp.v1_tdlat_3 B) (tptp.v3_tdlat_3 B) (not (tptp.v2_tex_2 B A)) (tptp.v5_tex_2 B A) _let_1 (tptp.v2_tex_3 B A) (not (tptp.v3_tex_3 B A)) (not (tptp.v4_tex_3 B A))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.v1_tdlat_3 A) (tptp.l1_pre_topc A)) (exists ((B $$unsorted)) (and (tptp.m1_pre_topc B A) (not (tptp.v3_struct_0 B)) (tptp.v1_pre_topc B) (tptp.v2_pre_topc B) (tptp.v1_borsuk_1 B A) (tptp.v1_tsep_1 B A) (tptp.v1_tdlat_3 B) (tptp.v3_tdlat_3 B) (tptp.v4_tdlat_3 B) (tptp.v5_tdlat_3 B) (not (tptp.v3_tex_3 B A)) (not (tptp.v4_tex_3 B A)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.v1_tdlat_3 A) (not (tptp.v3_realset2 A)) (tptp.l1_pre_topc A)) (exists ((B $$unsorted)) (and (tptp.m1_pre_topc B A) (tptp.v1_pre_topc B) (tptp.v2_pre_topc B) (tptp.v1_borsuk_1 B A) (tptp.v1_tsep_1 B A) (tptp.v1_tdlat_3 B) (tptp.v3_tdlat_3 B) (tptp.v2_tex_2 B A) (not (tptp.v5_tex_2 B A)) (not (tptp.v1_tex_3 B A)) (not (tptp.v2_tex_3 B A)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (not (tptp.v1_tdlat_3 A)) (tptp.l1_pre_topc A)) (exists ((B $$unsorted)) (and (tptp.m1_pre_topc B A) (not (tptp.v3_struct_0 B)) (tptp.v1_pre_topc B) (tptp.v2_pre_topc B) (not (tptp.v1_tsep_1 B A)) (tptp.v2_tex_2 B A) (not (tptp.v2_tex_3 B A)) (tptp.v3_tex_3 B A))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (not (tptp.v1_tdlat_3 A)) (tptp.l1_pre_topc A)) (exists ((B $$unsorted)) (and (tptp.m1_pre_topc B A) (not (tptp.v3_struct_0 B)) (tptp.v1_pre_topc B) (tptp.v2_pre_topc B) (not (tptp.v1_borsuk_1 B A)) (tptp.v2_tex_2 B A) (tptp.v1_tex_3 B A) (not (tptp.v4_tex_3 B A)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.v3_tdlat_3 A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (let ((_let_1 (not (tptp.v3_struct_0 B)))) (=> (tptp.m1_pre_topc B A) (=> _let_1 (and _let_1 (tptp.v2_pre_topc B) (tptp.v3_tdlat_3 B) (tptp.v4_tdlat_3 B) (tptp.v5_tdlat_3 B) (not (tptp.v4_tex_3 B A))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.v3_tdlat_3 A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.v2_tex_2 B A))) (=> (tptp.m1_pre_topc B A) (=> _let_1 (and (tptp.v2_pre_topc B) _let_1 (not (tptp.v2_tex_3 B A))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.v3_tdlat_3 A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.v2_tex_3 B A))) (=> (tptp.m1_pre_topc B A) (=> _let_1 (and (tptp.v2_pre_topc B) (tptp.v1_borsuk_1 B A) (tptp.v1_tsep_1 B A) (not (tptp.v2_tex_2 B A)) (tptp.v1_tex_3 B A) _let_1 (not (tptp.v3_tex_3 B A)) (not (tptp.v4_tex_3 B A))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.v3_tdlat_3 A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (let ((_let_1 (not (tptp.v3_struct_0 B)))) (=> (tptp.m1_pre_topc B A) (=> (and _let_1 (tptp.v3_tex_3 B A)) (and _let_1 (tptp.v2_pre_topc B) (not (tptp.v1_borsuk_1 B A)) (tptp.v3_tdlat_3 B) (tptp.v4_tdlat_3 B) (tptp.v5_tdlat_3 B) (tptp.v2_tex_2 B A)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.v3_tdlat_3 A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (let ((_let_1 (not (tptp.v3_struct_0 B)))) (=> (tptp.m1_pre_topc B A) (=> (and _let_1 (tptp.v1_borsuk_1 B A)) (and _let_1 (tptp.v2_pre_topc B) (tptp.v3_tdlat_3 B) (tptp.v4_tdlat_3 B) (tptp.v5_tdlat_3 B) (not (tptp.v3_tex_3 B A)) (not (tptp.v4_tex_3 B A))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.v3_tdlat_3 A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.v2_tex_2 B A))) (=> (tptp.m1_pre_topc B A) (=> (and _let_1 (tptp.v1_tex_3 B A)) (and (tptp.v2_pre_topc B) (not (tptp.v1_tsep_1 B A)) _let_1))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.v3_tdlat_3 A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.v1_tex_3 B A))) (let ((_let_2 (tptp.v1_tsep_1 B A))) (=> (tptp.m1_pre_topc B A) (=> (and _let_2 _let_1) (and (tptp.v2_pre_topc B) (tptp.v1_borsuk_1 B A) _let_2 (not (tptp.v2_tex_2 B A)) _let_1 (tptp.v2_tex_3 B A) (not (tptp.v3_tex_3 B A)) (not (tptp.v4_tex_3 B A)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.v3_tdlat_3 A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.v2_tex_2 B A))) (=> (tptp.m1_pre_topc B A) (=> (and (tptp.v1_tsep_1 B A) _let_1) (and (tptp.v2_pre_topc B) _let_1 (not (tptp.v1_tex_3 B A)) (not (tptp.v2_tex_3 B A))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.v3_tdlat_3 A) (tptp.l1_pre_topc A)) (exists ((B $$unsorted)) (and (tptp.m1_pre_topc B A) (not (tptp.v3_struct_0 B)) (tptp.v1_pre_topc B) (tptp.v2_pre_topc B) (tptp.v3_tdlat_3 B) (tptp.v4_tdlat_3 B) (tptp.v5_tdlat_3 B) (not (tptp.v4_tex_3 B A)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.v3_tdlat_3 A) (not (tptp.v3_realset2 A)) (tptp.l1_pre_topc A)) (exists ((B $$unsorted)) (and (tptp.m1_pre_topc B A) (tptp.v1_pre_topc B) (tptp.v2_pre_topc B) (tptp.v2_tex_2 B A) (not (tptp.v2_tex_3 B A)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (not (tptp.v3_tdlat_3 A)) (tptp.l1_pre_topc A)) (exists ((B $$unsorted)) (and (tptp.m1_pre_topc B A) (not (tptp.v3_struct_0 B)) (tptp.v1_pre_topc B) (tptp.v2_pre_topc B) (not (tptp.v1_tsep_1 B A)) (tptp.v2_tex_2 B A) (not (tptp.v1_tex_3 B A)) (not (tptp.v2_tex_3 B A)) (tptp.v3_tex_3 B A) (tptp.v4_tex_3 B A))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (not (tptp.v3_tdlat_3 A)) (tptp.l1_pre_topc A)) (exists ((B $$unsorted)) (and (tptp.m1_pre_topc B A) (not (tptp.v3_struct_0 B)) (tptp.v1_pre_topc B) (tptp.v2_pre_topc B) (not (tptp.v1_borsuk_1 B A)) (tptp.v2_tex_2 B A) (tptp.v1_tex_3 B A) (tptp.v2_tex_3 B A) (not (tptp.v3_tex_3 B A)) (not (tptp.v4_tex_3 B A)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (not (tptp.v3_tdlat_3 A)) (tptp.l1_pre_topc A)) (exists ((B $$unsorted)) (and (tptp.m1_pre_topc B A) (not (tptp.v3_struct_0 B)) (tptp.v1_pre_topc B) (tptp.v2_pre_topc B) (tptp.v1_borsuk_1 B A) (not (tptp.v1_tsep_1 B A)) (tptp.v2_tex_2 B A) (not (tptp.v1_tex_3 B A)) (not (tptp.v2_tex_3 B A)) (tptp.v3_tex_3 B A) (tptp.v4_tex_3 B A))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (not (tptp.v3_tdlat_3 A)) (tptp.l1_pre_topc A)) (exists ((B $$unsorted)) (and (tptp.m1_pre_topc B A) (not (tptp.v3_struct_0 B)) (tptp.v1_pre_topc B) (tptp.v2_pre_topc B) (not (tptp.v1_borsuk_1 B A)) (tptp.v1_tsep_1 B A) (tptp.v2_tex_2 B A) (tptp.v1_tex_3 B A) (tptp.v2_tex_3 B A) (not (tptp.v3_tex_3 B A)) (not (tptp.v4_tex_3 B A)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (=> (tptp.m1_subset_1 C _let_1) (=> (tptp.r2_tsep_2 A B C) (= (not (tptp.v1_xboole_0 B)) (tptp.v1_tex_2 C _let_1)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (tptp.r2_tsep_2 A B C) (= (tptp.v1_tops_1 B A) (tptp.v2_tops_1 C A))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (tptp.r2_tsep_2 A B C) (= (tptp.v2_tops_1 B A) (tptp.v1_tops_1 C A))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (tptp.r2_tsep_2 A B C) (= (tptp.v1_tops_3 B A) (tptp.v3_tops_1 C A))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (tptp.r2_tsep_2 A B C) (= (tptp.v3_tops_1 B A) (tptp.v1_tops_3 C A))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.m1_pre_topc B A)) (forall ((C $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.m1_pre_topc C A)) (=> (tptp.r4_tsep_2 A B C) (and (tptp.v2_tex_2 B A) (tptp.v2_tex_2 C A))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (not (tptp.v3_realset2 A)) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.v1_tex_2 B _let_1) (tptp.m1_subset_1 B _let_1)) (exists ((C $$unsorted)) (and (not (tptp.v3_struct_0 C)) (tptp.v1_pre_topc C) (tptp.v2_tex_2 C A) (tptp.m1_pre_topc C A) (= B (tptp.u1_struct_0 C))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (not (tptp.v3_realset2 A)) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_tex_2 B A) (tptp.m1_pre_topc B A)) (exists ((C $$unsorted)) (and (not (tptp.v3_struct_0 C)) (tptp.v1_pre_topc C) (tptp.v2_tex_2 C A) (tptp.m1_pre_topc C A) (tptp.r4_tsep_2 A B C))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_pre_topc B A) (= (tptp.v1_tex_3 B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (= C (tptp.u1_struct_0 B)) (tptp.v1_tops_1 C A))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_pre_topc B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (= C (tptp.u1_struct_0 B)) (= (tptp.v1_tex_3 B A) (tptp.v1_tops_1 C A))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (not (and (tptp.v1_tops_1 B A) (forall ((C $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.v1_pre_topc C) (tptp.v1_tex_3 C A) (tptp.m1_pre_topc C A)) (not (= B (tptp.u1_struct_0 C))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v1_tex_3 B A) (tptp.m1_pre_topc B A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B))) (=> (= C D) (= (tptp.v1_tops_1 D B) (tptp.v1_tops_1 C A))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_tex_3 B A) (tptp.m1_pre_topc B A)) (forall ((C $$unsorted)) (=> (tptp.m1_pre_topc C A) (=> (tptp.m1_pre_topc B C) (tptp.v1_tex_3 C A)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v1_tex_3 B A) (tptp.m1_pre_topc B A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.m1_pre_topc B C))) (=> (and (not (tptp.v3_struct_0 C)) (tptp.m1_pre_topc C A)) (=> _let_1 (and (tptp.v1_tex_3 B C) _let_1))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v1_tex_3 B A) (tptp.m1_pre_topc B A)) (forall ((C $$unsorted)) (let ((_let_1 (not (tptp.v3_struct_0 C)))) (=> (and _let_1 (tptp.v1_tex_3 C B) (tptp.m1_pre_topc C B)) (and _let_1 (tptp.v1_tex_3 C A) (tptp.m1_pre_topc C A))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_pre_topc B) (tptp.l1_pre_topc B)) (forall ((C $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.v2_pre_topc C) (tptp.l1_pre_topc C)) (=> (= C (tptp.g1_pre_topc (tptp.u1_struct_0 B) (tptp.u1_pre_topc B))) (= (and (tptp.v1_tex_3 B A) (tptp.m1_pre_topc B A)) (and (tptp.v1_tex_3 C A) (tptp.m1_pre_topc C A)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_pre_topc B A) (= (tptp.v2_tex_3 B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (= C (tptp.u1_struct_0 B)) (tptp.v1_tops_3 C A))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_pre_topc B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (= C (tptp.u1_struct_0 B)) (= (tptp.v2_tex_3 B A) (tptp.v1_tops_3 C A))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (not (and (tptp.v1_tops_3 B A) (forall ((C $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.v1_pre_topc C) (tptp.v2_tex_3 C A) (tptp.m1_pre_topc C A)) (not (= B (tptp.u1_struct_0 C))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_tex_3 B A) (tptp.m1_pre_topc B A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B))) (=> (= C D) (= (tptp.v1_tops_3 D B) (tptp.v1_tops_3 C A))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (tptp.v2_tex_3 B A) (tptp.m1_pre_topc B A)) (forall ((C $$unsorted)) (=> (tptp.m1_pre_topc C A) (=> (tptp.m1_pre_topc B C) (tptp.v2_tex_3 C A)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_tex_3 B A) (tptp.m1_pre_topc B A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.m1_pre_topc B C))) (=> (and (not (tptp.v3_struct_0 C)) (tptp.m1_pre_topc C A)) (=> _let_1 (and (tptp.v2_tex_3 B C) _let_1))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_tex_3 B A) (tptp.m1_pre_topc B A)) (forall ((C $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.v2_tex_3 C B) (tptp.m1_pre_topc C B)) (and (tptp.v2_tex_3 C A) (tptp.m1_pre_topc C A)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_pre_topc B) (tptp.l1_pre_topc B)) (forall ((C $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.v2_pre_topc C) (tptp.l1_pre_topc C)) (=> (= C (tptp.g1_pre_topc (tptp.u1_struct_0 B) (tptp.u1_pre_topc B))) (= (and (tptp.v2_tex_3 B A) (tptp.m1_pre_topc B A)) (and (tptp.v2_tex_3 C A) (tptp.m1_pre_topc C A)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (not (and (tptp.v1_tops_1 B A) (tptp.v3_pre_topc B A) (forall ((C $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.v1_pre_topc C) (tptp.v1_tsep_1 C A) (tptp.v1_tex_3 C A) (tptp.m1_pre_topc C A)) (not (= B (tptp.u1_struct_0 C))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_pre_topc B A) (= (tptp.v2_tex_3 B A) (exists ((C $$unsorted)) (and (tptp.v1_pre_topc C) (tptp.v1_tsep_1 C A) (tptp.v1_tex_3 C A) (tptp.m1_pre_topc C A) (tptp.m1_pre_topc C B)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.m1_pre_topc B A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k1_tsep_1 A B C))) (=> (and (not (tptp.v3_struct_0 C)) (tptp.m1_pre_topc C A)) (=> (or (tptp.v1_tex_3 B A) (tptp.v1_tex_3 C A)) (and (tptp.v1_tex_3 _let_1 A) (tptp.m1_pre_topc _let_1 A)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.m1_pre_topc B A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k1_tsep_1 A B C))) (=> (and (not (tptp.v3_struct_0 C)) (tptp.m1_pre_topc C A)) (=> (or (tptp.v2_tex_3 B A) (tptp.v2_tex_3 C A)) (and (tptp.v2_tex_3 _let_1 A) (tptp.m1_pre_topc _let_1 A)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.m1_pre_topc B A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k2_tsep_1 A B C))) (=> (and (not (tptp.v3_struct_0 C)) (tptp.m1_pre_topc C A)) (=> (and (tptp.v2_tex_3 B A) (tptp.v2_tex_3 C A)) (and (tptp.v2_tex_3 _let_1 A) (tptp.m1_pre_topc _let_1 A)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.m1_pre_topc B A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k2_tsep_1 A B C))) (=> (and (not (tptp.v3_struct_0 C)) (tptp.m1_pre_topc C A)) (=> (or (and (tptp.v2_tex_3 B A) (tptp.v1_tex_3 C A)) (and (tptp.v1_tex_3 B A) (tptp.v2_tex_3 C A))) (and (tptp.v1_tex_3 _let_1 A) (tptp.m1_pre_topc _let_1 A)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_pre_topc B A) (= (tptp.v3_tex_3 B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (= C (tptp.u1_struct_0 B)) (tptp.v2_tops_1 C A))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_pre_topc B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (= C (tptp.u1_struct_0 B)) (= (tptp.v3_tex_3 B A) (tptp.v2_tops_1 C A))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (not (and (tptp.v2_tops_1 B A) (forall ((C $$unsorted)) (=> (and (tptp.v1_pre_topc C) (tptp.m1_pre_topc C A)) (not (and (tptp.v3_tex_3 C A) (= B (tptp.u1_struct_0 C)))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_pre_topc B A) (forall ((C $$unsorted)) (=> (tptp.m1_pre_topc C A) (=> (tptp.r3_tsep_2 A B C) (= (tptp.v1_tex_3 B A) (tptp.v3_tex_3 C A))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.m1_pre_topc B A)) (forall ((C $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.m1_pre_topc C A)) (=> (tptp.r4_tsep_2 A B C) (= (tptp.v3_tex_3 B A) (tptp.v1_tex_3 C A))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_pre_topc B A) (=> (tptp.v3_tex_3 B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (tptp.r1_tarski C (tptp.u1_struct_0 B)) (tptp.v2_tops_1 C A))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_pre_topc B A) (forall ((C $$unsorted)) (=> (tptp.m1_pre_topc C A) (=> (and (tptp.v3_tex_3 B A) (tptp.m1_pre_topc C B)) (tptp.v3_tex_3 C A)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_pre_topc B A) (= (tptp.v4_tex_3 B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (= C (tptp.u1_struct_0 B)) (tptp.v3_tops_1 C A))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_pre_topc B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (= C (tptp.u1_struct_0 B)) (= (tptp.v4_tex_3 B A) (tptp.v3_tops_1 C A))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (not (and (tptp.v3_tops_1 B A) (forall ((C $$unsorted)) (=> (and (tptp.v1_pre_topc C) (tptp.m1_pre_topc C A)) (not (and (tptp.v4_tex_3 C A) (= B (tptp.u1_struct_0 C)))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_pre_topc B A) (forall ((C $$unsorted)) (=> (tptp.m1_pre_topc C A) (=> (tptp.r3_tsep_2 A B C) (= (tptp.v2_tex_3 B A) (tptp.v4_tex_3 C A))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.m1_pre_topc B A)) (forall ((C $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.m1_pre_topc C A)) (=> (tptp.r4_tsep_2 A B C) (= (tptp.v4_tex_3 B A) (tptp.v2_tex_3 C A))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_pre_topc B A) (=> (tptp.v4_tex_3 B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (tptp.r1_tarski C (tptp.u1_struct_0 B)) (tptp.v3_tops_1 C A))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_pre_topc B A) (forall ((C $$unsorted)) (=> (tptp.m1_pre_topc C A) (=> (and (tptp.v4_tex_3 B A) (tptp.m1_pre_topc C B)) (tptp.v4_tex_3 C A)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (not (and (tptp.v2_tops_1 B A) (tptp.v4_pre_topc B A) (forall ((C $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.v1_pre_topc C) (tptp.v1_borsuk_1 C A) (tptp.m1_pre_topc C A)) (not (and (tptp.v3_tex_3 C A) (= B (tptp.u1_struct_0 C)))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.m1_pre_topc B A)) (= (tptp.v4_tex_3 B A) (exists ((C $$unsorted)) (and (not (tptp.v3_struct_0 C)) (tptp.v1_pre_topc C) (tptp.v1_borsuk_1 C A) (tptp.m1_pre_topc C A) (tptp.v3_tex_3 C A) (tptp.m1_pre_topc B C)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.m1_pre_topc B A)) (forall ((C $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.m1_pre_topc C A)) (not (and (or (tptp.v3_tex_3 B A) (tptp.v3_tex_3 C A)) (not (tptp.r1_tsep_1 A B C)) (not (tptp.v3_tex_3 (tptp.k2_tsep_1 A B C) A)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.m1_pre_topc B A)) (forall ((C $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.m1_pre_topc C A)) (=> (and (tptp.v4_tex_3 B A) (tptp.v4_tex_3 C A)) (tptp.v4_tex_3 (tptp.k1_tsep_1 A B C) A)))))))) (forall ((A $$unsorted)) (=> (and (not 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(tptp.v1_tdlat_3 A)))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (not (tptp.v3_realset2 A)) (tptp.l1_pre_topc A)) (=> (forall ((B $$unsorted)) (=> (and (tptp.v2_tex_2 B A) (tptp.m1_pre_topc B A)) (not (tptp.v1_tex_3 B A)))) (tptp.v1_tdlat_3 A)))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (not (and (exists ((B $$unsorted)) (and (not (tptp.v3_struct_0 B)) (tptp.m1_pre_topc B A) (tptp.v3_tex_3 B A))) (tptp.v1_tdlat_3 A))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (not (and (exists ((B $$unsorted)) (and (not (tptp.v3_struct_0 B)) (tptp.m1_pre_topc B A) (tptp.v1_tex_3 B A) (tptp.v2_tex_2 B A))) (tptp.v1_tdlat_3 A))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (not (tptp.v1_tdlat_3 A)) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (not (and (tptp.v2_tops_1 B A) (forall ((C $$unsorted)) (=> (and (tptp.v1_pre_topc C) (tptp.v3_tex_3 C A) (tptp.m1_pre_topc C A)) (not (= B (tptp.u1_struct_0 C))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (not (tptp.v1_tdlat_3 A)) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.v1_tex_2 B _let_1) (tptp.m1_subset_1 B _let_1)) (not (and (tptp.v1_tops_1 B A) (forall ((C $$unsorted)) (=> (and (tptp.v1_pre_topc C) (tptp.v2_tex_2 C A) (tptp.v1_tex_3 C A) (tptp.m1_pre_topc C A)) (not (= B (tptp.u1_struct_0 C)))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (not (tptp.v1_tdlat_3 A)) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_tex_3 B A) (tptp.m1_pre_topc B A)) (exists ((C $$unsorted)) (and (not (tptp.v3_struct_0 C)) (tptp.v1_pre_topc C) (tptp.v2_tex_2 C A) (tptp.v1_tex_3 C A) (tptp.m1_pre_topc C A) (tptp.r4_tsep_2 A B C))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (not (tptp.v1_tdlat_3 A)) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_tex_2 B A) (tptp.v1_tex_3 B A) (tptp.m1_pre_topc B A)) (exists ((C $$unsorted)) (and (not (tptp.v3_struct_0 C)) (tptp.v1_pre_topc C) (tptp.v3_tex_3 C A) (tptp.m1_pre_topc C A) (tptp.r4_tsep_2 A B C))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (not (tptp.v1_tdlat_3 A)) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_pre_topc B) (tptp.l1_pre_topc B)) (forall ((C $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.v2_pre_topc C) (tptp.l1_pre_topc C)) (=> (= C (tptp.g1_pre_topc (tptp.u1_struct_0 B) (tptp.u1_pre_topc B))) (= (and (tptp.v3_tex_3 B A) (tptp.m1_pre_topc B A)) (and (tptp.v3_tex_3 C A) (tptp.m1_pre_topc C A)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (=> (forall ((B $$unsorted)) (=> (tptp.m1_pre_topc B A) (not (tptp.v4_tex_3 B A)))) (tptp.v3_tdlat_3 A)))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (not (tptp.v3_realset2 A)) (tptp.l1_pre_topc A)) (=> (forall ((B $$unsorted)) (=> (and (tptp.v2_tex_2 B A) (tptp.m1_pre_topc B A)) (not (tptp.v2_tex_3 B A)))) (tptp.v3_tdlat_3 A)))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (not (and (exists ((B $$unsorted)) (and (not (tptp.v3_struct_0 B)) (tptp.m1_pre_topc B A) (tptp.v4_tex_3 B A))) (tptp.v3_tdlat_3 A))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (not (and (exists ((B $$unsorted)) (and (not (tptp.v3_struct_0 B)) (tptp.m1_pre_topc B A) (tptp.v3_tex_3 B A) (tptp.v1_borsuk_1 B A))) (tptp.v3_tdlat_3 A))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (not (and (exists ((B $$unsorted)) (and (not (tptp.v3_struct_0 B)) (tptp.m1_pre_topc B A) (tptp.v2_tex_3 B A) (tptp.v2_tex_2 B A))) (tptp.v3_tdlat_3 A))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (not (and (exists ((B $$unsorted)) (and (not (tptp.v3_struct_0 B)) (tptp.m1_pre_topc B A) (tptp.v1_tex_3 B A) (tptp.v1_tsep_1 B A) (tptp.v2_tex_2 B A))) (tptp.v3_tdlat_3 A))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (not (tptp.v3_tdlat_3 A)) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (not (and (tptp.v3_tops_1 B A) (forall ((C $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.v1_pre_topc C) (tptp.v4_tex_3 C A) (tptp.m1_pre_topc C A)) (not (= B (tptp.u1_struct_0 C))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (not (tptp.v3_tdlat_3 A)) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.v1_tex_2 B _let_1) (tptp.m1_subset_1 B _let_1)) (not (and (tptp.v1_tops_3 B A) (forall ((C $$unsorted)) (=> (and (tptp.v1_pre_topc C) (tptp.v2_tex_2 C A) (tptp.v2_tex_3 C A) (tptp.m1_pre_topc C A)) (not (= B (tptp.u1_struct_0 C)))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (not (tptp.v3_tdlat_3 A)) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v4_tex_3 B A) (tptp.m1_pre_topc B A)) (exists ((C $$unsorted)) (and (not (tptp.v3_struct_0 C)) (tptp.v1_pre_topc C) (tptp.v2_tex_2 C A) (tptp.v2_tex_3 C A) (tptp.m1_pre_topc C A) (tptp.r4_tsep_2 A B C))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (not (tptp.v3_tdlat_3 A)) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_tex_2 B A) (tptp.v2_tex_3 B A) (tptp.m1_pre_topc B A)) (exists ((C $$unsorted)) (and (not (tptp.v3_struct_0 C)) (tptp.v1_pre_topc C) (tptp.v4_tex_3 C A) (tptp.m1_pre_topc C A) (tptp.r4_tsep_2 A B C))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (not (tptp.v3_tdlat_3 A)) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_pre_topc B) (tptp.l1_pre_topc B)) (forall ((C $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.v2_pre_topc C) (tptp.l1_pre_topc C)) (=> (= C (tptp.g1_pre_topc (tptp.u1_struct_0 B) (tptp.u1_pre_topc B))) (= (and (tptp.v4_tex_3 B A) (tptp.m1_pre_topc B A)) (and (tptp.v4_tex_3 C A) (tptp.m1_pre_topc C A)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (not (tptp.v3_tdlat_3 A)) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (not (and (tptp.v2_tops_1 B A) (tptp.v4_pre_topc B A) (forall ((C $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.v1_pre_topc C) (tptp.v1_borsuk_1 C A) (tptp.v3_tex_3 C A) (tptp.m1_pre_topc C A)) (not (= B (tptp.u1_struct_0 C))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (not (tptp.v3_tdlat_3 A)) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.v1_tex_2 B _let_1) (tptp.m1_subset_1 B _let_1)) (not (and (tptp.v1_tops_1 B A) (tptp.v3_pre_topc B A) (forall ((C $$unsorted)) (=> (and (tptp.v1_pre_topc C) (tptp.v1_tsep_1 C A) (tptp.v2_tex_2 C A) (tptp.v1_tex_3 C A) (tptp.m1_pre_topc C A)) (not (= B (tptp.u1_struct_0 C)))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (not (tptp.v3_tdlat_3 A)) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v1_borsuk_1 B A) (tptp.v3_tex_3 B A) (tptp.m1_pre_topc B A)) (exists ((C $$unsorted)) (and (not (tptp.v3_struct_0 C)) (tptp.v1_pre_topc C) (tptp.v1_tsep_1 C A) (tptp.v2_tex_2 C A) (tptp.v1_tex_3 C A) (tptp.m1_pre_topc C A) (tptp.r4_tsep_2 A B C))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (not (tptp.v3_tdlat_3 A)) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v1_tsep_1 B A) (tptp.v2_tex_2 B A) (tptp.v1_tex_3 B A) (tptp.m1_pre_topc B A)) (exists ((C $$unsorted)) (and (not (tptp.v3_struct_0 C)) (tptp.v1_pre_topc C) (tptp.v1_borsuk_1 C A) (tptp.v3_tex_3 C A) (tptp.m1_pre_topc C A) (tptp.r4_tsep_2 A B C))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (not (tptp.v3_tdlat_3 A)) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.m1_pre_topc B A)) (= (tptp.v4_tex_3 B A) (exists ((C $$unsorted)) (and (not (tptp.v3_struct_0 C)) (tptp.v1_pre_topc C) (tptp.v1_borsuk_1 C A) (tptp.v3_tex_3 C A) (tptp.m1_pre_topc C A) (tptp.m1_pre_topc B C)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (not (tptp.v3_tdlat_3 A)) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v4_tex_3 B A) (tptp.m1_pre_topc B A)) (not (and (not (and (tptp.v3_tex_3 B A) (tptp.v1_borsuk_1 B A))) (forall ((C $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.v1_pre_topc C) (tptp.v2_tex_2 C A) (tptp.v2_tex_3 C A) (tptp.m1_pre_topc C A)) (forall ((D $$unsorted)) (=> (and (not (tptp.v3_struct_0 D)) (tptp.v1_pre_topc D) (tptp.v1_borsuk_1 D A) (tptp.v3_tex_3 D A) (tptp.m1_pre_topc D A)) (not (and (= (tptp.k2_tsep_1 A C D) (tptp.g1_pre_topc (tptp.u1_struct_0 B) (tptp.u1_pre_topc B))) (= (tptp.k1_tsep_1 A C D) (tptp.g1_pre_topc (tptp.u1_struct_0 A) (tptp.u1_pre_topc A))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (not (tptp.v3_tdlat_3 A)) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_tex_3 B A) (tptp.m1_pre_topc B A)) (not (and (not (and (tptp.v1_tex_3 B A) (tptp.v1_tsep_1 B A))) (forall ((C $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.v1_pre_topc C) (tptp.v1_tsep_1 C A) (tptp.v2_tex_2 C A) (tptp.v1_tex_3 C A) (tptp.m1_pre_topc C A)) (forall ((D $$unsorted)) (=> (and (not (tptp.v3_struct_0 D)) (tptp.v1_pre_topc D) (tptp.v4_tex_3 D A) (tptp.m1_pre_topc D A)) (not (and (tptp.r1_tsep_1 A C D) (= (tptp.k1_tsep_1 A C D) (tptp.g1_pre_topc (tptp.u1_struct_0 B) (tptp.u1_pre_topc B))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (not (tptp.v3_tdlat_3 A)) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v4_tex_3 B A) (tptp.m1_pre_topc B A)) (exists ((C $$unsorted)) (and (not (tptp.v3_struct_0 C)) (tptp.v1_pre_topc C) (tptp.v1_tsep_1 C A) (tptp.v2_tex_2 C A) (tptp.v1_tex_3 C A) (tptp.m1_pre_topc C A) (exists ((D $$unsorted)) (and (not (tptp.v3_struct_0 D)) (tptp.v1_pre_topc D) (tptp.v1_borsuk_1 D A) (tptp.v3_tex_3 D A) (tptp.m1_pre_topc D A) (tptp.r4_tsep_2 A C D) (tptp.m1_pre_topc B D))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (not (tptp.v3_tdlat_3 A)) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (tptp.v2_tex_2 B A) (tptp.v2_tex_3 B A) (tptp.m1_pre_topc B A)) (exists ((C $$unsorted)) (and (tptp.v1_pre_topc C) (tptp.v1_tsep_1 C A) (tptp.v2_tex_2 C A) (tptp.v1_tex_3 C A) (tptp.m1_pre_topc C A) (exists ((D $$unsorted)) (and (tptp.v1_pre_topc D) (tptp.v1_borsuk_1 D A) (tptp.v3_tex_3 D A) (tptp.m1_pre_topc D A) (tptp.r3_tsep_2 A C D) (tptp.m1_pre_topc C B))))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k3_t_0topsp A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v2_pre_topc _let_1))))) (exists ((A $$unsorted)) (and (tptp.l1_pre_topc A) (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.v2_t_0topsp A))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (=> (tptp.m2_relset_1 C A B) (forall ((D $$unsorted)) (=> (tptp.m2_relset_1 D A B) (=> (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E A) (forall ((F $$unsorted)) (let ((_let_1 (tptp.k4_tarski E F))) (=> (tptp.m1_subset_1 F B) (= (tptp.r2_hidden _let_1 C) (tptp.r2_hidden _let_1 D))))))) (= C D)))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C A B) (tptp.m2_relset_1 C A B)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 A)) (=> (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E A) (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F A) (=> (and (tptp.r2_hidden E D) (= (tptp.k8_funct_2 A B C E) (tptp.k8_funct_2 A B C F))) (tptp.r2_hidden F D)))))) (= (tptp.k3_funct_2 A B C (tptp.k2_funct_2 A B C D)) D)))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (forall ((B $$unsorted)) (=> (tptp.l1_pre_topc B) (= (tptp.r1_t_0topsp A B) (exists ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.m2_relset_1 C _let_2 _let_1) (tptp.v3_tops_2 C A B)))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (forall ((B $$unsorted)) (=> (tptp.l1_pre_topc B) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.m2_relset_1 C _let_2 _let_1)) (= (tptp.v1_t_0topsp C A B) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (tptp.v3_pre_topc D A) (tptp.v3_pre_topc (tptp.k4_pre_topc A B C D) B))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (tptp.v3_relat_2 B) (tptp.v8_relat_2 B) (tptp.v1_partfun1 B _let_1 _let_1) (tptp.m2_relset_1 B _let_1 _let_1)) (= (= B (tptp.k1_t_0topsp A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (= (tptp.r2_hidden (tptp.k4_tarski C D) B) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (tptp.v3_pre_topc E A) (= (tptp.r2_hidden C E) (tptp.r2_hidden D E)))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_pre_topc A)) (= (tptp.k2_t_0topsp A) (tptp.k8_eqrel_1 (tptp.u1_struct_0 A) (tptp.k1_t_0topsp A))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (= (tptp.k3_t_0topsp A) (tptp.k16_borsuk_1 A (tptp.k2_t_0topsp A))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (= (tptp.k4_t_0topsp A) (tptp.k17_borsuk_1 A (tptp.k2_t_0topsp A))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 B _let_1) (tptp.r2_hidden B (tptp.k8_funct_2 _let_1 (tptp.u1_struct_0 (tptp.k3_t_0topsp A)) (tptp.k4_t_0topsp A) B))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k4_t_0topsp A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (and (= (tptp.k1_relat_1 _let_1) (tptp.u1_struct_0 A)) (tptp.r1_tarski (tptp.k2_relat_1 _let_1) (tptp.u1_struct_0 (tptp.k3_t_0topsp A))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k3_t_0topsp A))) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 _let_1))) (= (tptp.v3_pre_topc B _let_1) (tptp.r2_hidden (tptp.k3_tarski B) (tptp.u1_pre_topc A)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (= (tptp.m1_subset_1 B (tptp.u1_struct_0 (tptp.k3_t_0topsp A))) (exists ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (and (tptp.m1_subset_1 C _let_1) (= B (tptp.k6_eqrel_1 _let_1 (tptp.k1_t_0topsp A) C))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 B _let_1) (= (tptp.k8_funct_2 _let_1 (tptp.u1_struct_0 (tptp.k3_t_0topsp A)) (tptp.k4_t_0topsp A) B) (tptp.k6_eqrel_1 _let_1 (tptp.k1_t_0topsp A) B))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k4_t_0topsp A))) (let ((_let_2 (tptp.u1_struct_0 (tptp.k3_t_0topsp A)))) (let ((_let_3 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 C _let_3) (= (= (tptp.k8_funct_2 _let_3 _let_2 _let_1 C) (tptp.k8_funct_2 _let_3 _let_2 _let_1 B)) (tptp.r2_hidden (tptp.k8_borsuk_1 A A C B) (tptp.k1_t_0topsp A)))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (tptp.v3_pre_topc B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k4_t_0topsp A))) (let ((_let_2 (tptp.u1_struct_0 (tptp.k3_t_0topsp A)))) (let ((_let_3 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 D _let_3) (=> (and (tptp.r2_hidden C B) (= (tptp.k8_funct_2 _let_3 _let_2 _let_1 C) (tptp.k8_funct_2 _let_3 _let_2 _let_1 D))) (tptp.r2_hidden D B)))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (tptp.v3_pre_topc B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (tptp.r2_hidden C (tptp.k2_t_0topsp A)) (or (tptp.r1_xboole_0 C B) (tptp.r1_tarski C B)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (tptp.v1_t_0topsp (tptp.k4_t_0topsp A) A (tptp.k3_t_0topsp A)))) (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (= (tptp.v2_t_0topsp A) (or (tptp.v3_struct_0 A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (not (and (not (= B C)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.r2_hidden B D))) (let ((_let_2 (tptp.r2_hidden C D))) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (not (and (tptp.v3_pre_topc D A) (or (and _let_1 (not _let_2)) (and _let_2 (not _let_1))))))))))))))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k3_t_0topsp A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v2_pre_topc _let_1) (tptp.v2_t_0topsp _let_1) (tptp.l1_pre_topc _let_1))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_pre_topc B) (tptp.l1_pre_topc B)) (=> (exists ((C $$unsorted)) (let ((_let_1 (tptp.k3_t_0topsp A))) (let ((_let_2 (tptp.u1_struct_0 _let_1))) (let ((_let_3 (tptp.k3_t_0topsp B))) (let ((_let_4 (tptp.u1_struct_0 _let_3))) (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_4 _let_2) (tptp.m2_relset_1 C _let_4 _let_2) (tptp.v3_tops_2 C _let_3 _let_1) (tptp.r1_rfinseq (tptp.k4_t_0topsp A) (tptp.k7_funct_2 (tptp.u1_struct_0 B) _let_4 _let_2 (tptp.k4_t_0topsp B) C)))))))) (tptp.r1_t_0topsp A B)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_pre_topc B) (tptp.v2_t_0topsp B) (tptp.l1_pre_topc B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.v5_pre_topc C A B) (tptp.m2_relset_1 C _let_2 _let_1)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (forall ((E $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 E _let_2) (=> (tptp.r2_hidden (tptp.k8_borsuk_1 A A D E) (tptp.k1_t_0topsp A)) (= (tptp.k8_funct_2 _let_2 _let_1 C D) (tptp.k8_funct_2 _let_2 _let_1 C E))))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_pre_topc B) (tptp.v2_t_0topsp B) (tptp.l1_pre_topc B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.v5_pre_topc C A B) (tptp.m2_relset_1 C _let_2 _let_1)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 D _let_1) (= (tptp.k4_pre_topc A B C (tptp.k6_eqrel_1 _let_1 (tptp.k1_t_0topsp A) D)) (tptp.k1_struct_0 B (tptp.k8_funct_2 _let_1 (tptp.u1_struct_0 B) C D)))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_pre_topc B) (tptp.v2_t_0topsp B) (tptp.l1_pre_topc B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.v5_pre_topc C A B) (tptp.m2_relset_1 C _let_2 _let_1)) (exists ((D $$unsorted)) (let ((_let_1 (tptp.k3_t_0topsp A))) (let ((_let_2 (tptp.u1_struct_0 B))) (let ((_let_3 (tptp.u1_struct_0 _let_1))) (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D _let_3 _let_2) (tptp.v5_pre_topc D _let_1 B) (tptp.m2_relset_1 D _let_3 _let_2) (= C (tptp.k4_borsuk_1 A _let_1 B (tptp.k4_t_0topsp A) D))))))))))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.k1_t_0topsp A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_pre_topc A)) (and (tptp.v3_relat_2 _let_2) (tptp.v8_relat_2 _let_2) (tptp.v1_partfun1 _let_2 _let_1 _let_1) (tptp.m2_relset_1 _let_2 _let_1 _let_1)))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k2_t_0topsp A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_pre_topc A)) (and (not (tptp.v1_xboole_0 _let_1)) (tptp.m1_eqrel_1 _let_1 (tptp.u1_struct_0 A)))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k3_t_0topsp A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (and (tptp.v2_pre_topc _let_1) (tptp.l1_pre_topc _let_1))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k3_t_0topsp A))) (let ((_let_2 (tptp.u1_struct_0 _let_1))) (let ((_let_3 (tptp.u1_struct_0 A))) (let ((_let_4 (tptp.k4_t_0topsp A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (and (tptp.v1_funct_1 _let_4) (tptp.v1_funct_2 _let_4 _let_3 _let_2) (tptp.v5_pre_topc _let_4 A _let_1) (tptp.m2_relset_1 _let_4 _let_3 _let_2)))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k3_t_0topsp A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (and (= (tptp.u1_struct_0 _let_1) (tptp.k2_t_0topsp A)) (= (tptp.u1_pre_topc _let_1) (tptp.a_1_0_t_0topsp A)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_pre_topc B) (tptp.l1_pre_topc B)) (= (tptp.r2_hidden A (tptp.a_1_0_t_0topsp B)) (exists ((C $$unsorted)) (and (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.k2_t_0topsp B))) (= A C) (tptp.r2_hidden (tptp.k3_tarski C) (tptp.u1_pre_topc B))))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k6_pre_topc A B))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A) (not (tptp.v1_xboole_0 B)) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (and (not (tptp.v1_xboole_0 _let_1)) (tptp.v4_pre_topc _let_1 A))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k6_pre_topc A B))) (let ((_let_2 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A) (tptp.v1_xboole_0 B) (tptp.m1_subset_1 B _let_2)) (and (tptp.v1_xboole_0 _let_1) (tptp.v3_pre_topc _let_1 A) (tptp.v4_pre_topc _let_1 A) (tptp.v2_tops_1 _let_1 A) (tptp.v3_tops_1 _let_1 A) (tptp.v1_tex_2 _let_1 _let_2) (tptp.v1_membered _let_1) (tptp.v2_membered _let_1) (tptp.v3_membered _let_1) (tptp.v4_membered _let_1) (tptp.v5_membered _let_1)))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (let ((_let_2 (tptp.k6_pre_topc A B))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A) (not (tptp.v1_tex_2 B _let_1)) (tptp.m1_subset_1 B _let_1)) (and (not (tptp.v1_xboole_0 _let_2)) (tptp.v4_pre_topc _let_2 A) (not (tptp.v1_tex_2 _let_2 _let_1))))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k6_pre_topc A B))) (=> (and (not (tptp.v3_struct_0 A)) (not (tptp.v3_realset2 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A) (not (tptp.v1_xboole_0 B)) (not (tptp.v1_realset1 B)) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (and (not (tptp.v1_xboole_0 _let_1)) (not (tptp.v1_realset1 _let_1)) (tptp.v4_pre_topc _let_1 A))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (let ((_let_2 (tptp.k1_tops_1 A B))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A) (not (tptp.v1_tex_2 B _let_1)) (tptp.m1_subset_1 B _let_1)) (and (not (tptp.v1_xboole_0 _let_2)) (tptp.v3_pre_topc _let_2 A) (not (tptp.v1_tex_2 _let_2 _let_1))))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (let ((_let_2 (tptp.k1_tops_1 A B))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A) (tptp.v1_tex_2 B _let_1) (tptp.m1_subset_1 B _let_1)) (and (tptp.v3_pre_topc _let_2 A) (tptp.v1_tex_2 _let_2 _let_1)))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k1_tops_1 A B))) (let ((_let_2 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A) (tptp.v1_xboole_0 B) (tptp.m1_subset_1 B _let_2)) (and (tptp.v1_xboole_0 _let_1) (tptp.v3_pre_topc _let_1 A) (tptp.v4_pre_topc _let_1 A) (tptp.v2_tops_1 _let_1 A) (tptp.v3_tops_1 _let_1 A) (tptp.v1_tex_2 _let_1 _let_2) (tptp.v1_membered _let_1) (tptp.v2_membered _let_1) (tptp.v3_membered _let_1) (tptp.v4_membered _let_1) (tptp.v5_membered _let_1)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_pre_topc A) (tptp.m1_subset_1 B (tptp.u1_struct_0 A))) (not (tptp.v1_xboole_0 (tptp.k1_tex_4 A B))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_pre_topc A) (tptp.m1_subset_1 B (tptp.u1_struct_0 A))) (not (tptp.v1_xboole_0 (tptp.k2_tex_4 A B))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_pre_topc A) (not (tptp.v1_xboole_0 B)) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (not (tptp.v1_xboole_0 (tptp.k3_tex_4 A B))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k3_tex_4 A B))) (let ((_let_2 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_pre_topc A) (tptp.v1_xboole_0 B) (tptp.m1_subset_1 B _let_2)) (and (tptp.v1_xboole_0 _let_1) (tptp.v2_tops_1 _let_1 A) (tptp.v1_tex_2 _let_1 _let_2) (tptp.v1_membered _let_1) (tptp.v2_membered _let_1) (tptp.v3_membered _let_1) (tptp.v4_membered _let_1) (tptp.v5_membered _let_1)))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (let ((_let_2 (tptp.k3_tex_4 A B))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_pre_topc A) (not (tptp.v1_tex_2 B _let_1)) (tptp.m1_subset_1 B _let_1)) (and (not (tptp.v1_xboole_0 _let_2)) (not (tptp.v1_tex_2 _let_2 _let_1))))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k3_tex_4 A B))) (=> (and (not (tptp.v3_struct_0 A)) (not (tptp.v3_realset2 A)) (tptp.l1_pre_topc A) (not (tptp.v1_xboole_0 B)) (not (tptp.v1_realset1 B)) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (and (not (tptp.v1_xboole_0 _let_1)) (not (tptp.v1_realset1 _let_1)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_pre_topc B A) (=> (tptp.v4_tex_4 B A) (and (tptp.v2_pre_topc B) (tptp.v2_tdlat_3 B) (tptp.v3_tdlat_3 B))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_pre_topc B A) (=> (not (tptp.v2_tdlat_3 B)) (not (tptp.v4_tex_4 B A))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.v2_tdlat_3 B))) (let ((_let_2 (not (tptp.v3_struct_0 B)))) (=> (tptp.m1_pre_topc B A) (=> (and _let_2 (tptp.v1_tsep_1 B A) _let_1) (and _let_2 (tptp.v2_pre_topc B) _let_1 (tptp.v3_tdlat_3 B) (tptp.v4_tex_4 B A))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (let ((_let_1 (not (tptp.v4_tex_4 B A)))) (let ((_let_2 (not (tptp.v3_struct_0 B)))) (=> (tptp.m1_pre_topc B A) (=> (and _let_2 (tptp.v1_tsep_1 B A) _let_1) (and _let_2 (not (tptp.v3_realset2 B)) (tptp.v2_pre_topc B) (not (tptp.v2_tdlat_3 B)) _let_1)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (let ((_let_1 (not (tptp.v3_struct_0 B)))) (=> (tptp.m1_pre_topc B A) (=> (and _let_1 (tptp.v2_tdlat_3 B) (not (tptp.v4_tex_4 B A))) (and _let_1 (tptp.v2_pre_topc B) (not (tptp.v1_tsep_1 B A)) (tptp.v2_tex_2 B A)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.v2_tdlat_3 B))) (let ((_let_2 (not (tptp.v3_struct_0 B)))) (=> (tptp.m1_pre_topc B A) (=> (and _let_2 (tptp.v1_borsuk_1 B A) _let_1) (and _let_2 (tptp.v2_pre_topc B) _let_1 (tptp.v3_tdlat_3 B) (tptp.v4_tex_4 B A))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (let ((_let_1 (not (tptp.v4_tex_4 B A)))) (let ((_let_2 (not (tptp.v3_struct_0 B)))) (=> (tptp.m1_pre_topc B A) (=> (and _let_2 (tptp.v1_borsuk_1 B A) _let_1) (and _let_2 (not (tptp.v3_realset2 B)) (tptp.v2_pre_topc B) (not (tptp.v2_tdlat_3 B)) _let_1)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (let ((_let_1 (not (tptp.v3_struct_0 B)))) (=> (tptp.m1_pre_topc B A) (=> (and _let_1 (tptp.v2_tdlat_3 B) (not (tptp.v4_tex_4 B A))) (and _let_1 (tptp.v2_pre_topc B) (not (tptp.v1_borsuk_1 B A)) (tptp.v2_tex_2 B A)))))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k5_tex_4 A B))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_pre_topc A) (tptp.m1_subset_1 B (tptp.u1_struct_0 A))) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v1_pre_topc _let_1))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (exists ((B $$unsorted)) (and (tptp.m1_pre_topc B A) (tptp.v1_pre_topc B) (tptp.v2_pre_topc B) (tptp.v2_tdlat_3 B) (tptp.v3_tdlat_3 B) (tptp.v4_tex_4 B A))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k5_tex_4 A B))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A) (tptp.m1_subset_1 B (tptp.u1_struct_0 A))) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v1_pre_topc _let_1) (tptp.v2_pre_topc _let_1) (tptp.v2_tdlat_3 _let_1) (tptp.v3_tdlat_3 _let_1) (tptp.v4_tex_4 _let_1 A))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k6_tex_4 A B))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_pre_topc A) (not (tptp.v1_xboole_0 B)) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v1_pre_topc _let_1))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (not (tptp.v3_realset2 A)) (tptp.l1_pre_topc A)) (exists ((B $$unsorted)) (and (tptp.m1_pre_topc B A) (tptp.v1_pre_topc B) (not (tptp.v2_tex_2 B A)))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k6_tex_4 A B))) (=> (and (not (tptp.v3_struct_0 A)) (not (tptp.v3_realset2 A)) (tptp.l1_pre_topc A) (not (tptp.v1_xboole_0 B)) (not (tptp.v1_realset1 B)) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (and (not (tptp.v3_struct_0 _let_1)) (not (tptp.v3_realset2 _let_1)) (tptp.v1_pre_topc _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k6_tex_4 A B))) (let ((_let_2 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_pre_topc A) (not (tptp.v1_xboole_0 B)) (not (tptp.v1_tex_2 B _let_2)) (tptp.m1_subset_1 B _let_2)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v1_pre_topc _let_1) (not (tptp.v2_tex_2 _let_1 A))))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k7_tex_4 A B))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_pre_topc A) (not (tptp.v1_xboole_0 B)) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v1_pre_topc _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k7_tex_4 A B))) (=> (and (not (tptp.v3_struct_0 A)) (not (tptp.v3_realset2 A)) (tptp.l1_pre_topc A) (not (tptp.v1_xboole_0 B)) (not (tptp.v1_realset1 B)) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (and (not (tptp.v3_struct_0 _let_1)) (not (tptp.v3_realset2 _let_1)) (tptp.v1_pre_topc _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k7_tex_4 A B))) (let ((_let_2 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_pre_topc A) (not (tptp.v1_xboole_0 B)) (not (tptp.v1_tex_2 B _let_2)) (tptp.m1_subset_1 B _let_2)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v1_pre_topc _let_1) (not (tptp.v2_tex_2 _let_1 A))))))) true (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (tptp.v1_tex_4 B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (and (tptp.v3_pre_topc D A) (tptp.r2_hidden C D) (tptp.r2_hidden C B)) (tptp.r1_tarski B D))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (tptp.v1_tex_4 B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (and (tptp.v4_pre_topc D A) (tptp.r2_hidden C D) (tptp.r2_hidden C B)) (tptp.r1_tarski B D))))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (tptp.v1_tex_4 B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (not (and (tptp.v3_pre_topc C A) (not (tptp.r1_xboole_0 B C)) (not (tptp.r1_tarski B C))))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (tptp.v1_tex_4 B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (not (and (tptp.v4_pre_topc C A) (not (tptp.r1_xboole_0 B C)) (not (tptp.r1_tarski B C))))))))))) true (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (forall ((B $$unsorted)) (=> (tptp.l1_pre_topc B) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 _let_1)) (=> (and (= (tptp.g1_pre_topc (tptp.u1_struct_0 A) (tptp.u1_pre_topc A)) (tptp.g1_pre_topc _let_1 (tptp.u1_pre_topc B))) (= C D) (tptp.v1_tex_4 C A)) (tptp.v1_tex_4 D B))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (and (tptp.r1_tarski C B) (tptp.v1_tex_4 B A)) (tptp.v1_tex_4 C A)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (tptp.v1_tex_4 (tptp.k1_struct_0 A B) A))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_xboole_0 B) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (tptp.v1_tex_4 B A))))) (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (= (tptp.v2_tex_4 B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (tptp.r2_hidden C B) (tptp.v1_tex_4 C A))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 _let_1))) (=> (tptp.v2_tex_4 B A) (or (= (tptp.k6_setfam_1 _let_1 B) tptp.k1_xboole_0) (tptp.v1_tex_4 (tptp.k5_setfam_1 _let_1 B) A)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 _let_1))) (=> (tptp.v2_tex_4 B A) (tptp.v1_tex_4 (tptp.k6_setfam_1 _let_1 B) A))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (tptp.v2_tex_4 (tptp.k1_tex_4 A B) A))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 B _let_1) (= (tptp.k1_struct_0 A B) (tptp.k6_setfam_1 _let_1 (tptp.k1_tex_4 A B)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 B _let_1) (tptp.r1_tarski (tptp.k1_struct_0 A B) (tptp.k5_setfam_1 _let_1 (tptp.k1_tex_4 A B)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 B _let_1) (tptp.v1_tex_4 (tptp.k5_setfam_1 _let_1 (tptp.k1_tex_4 A B)) A)))))) (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (tptp.v3_tex_4 B A) (and (tptp.v1_tex_4 B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_tex_4 C A) (tptp.r1_tarski B C)) (= B C)))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (forall ((B $$unsorted)) (=> (tptp.l1_pre_topc B) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 _let_1)) (=> (and (= (tptp.g1_pre_topc (tptp.u1_struct_0 A) (tptp.u1_pre_topc A)) (tptp.g1_pre_topc _let_1 (tptp.u1_pre_topc B))) (= C D) (tptp.v3_tex_4 C A)) (tptp.v3_tex_4 D B))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_xboole_0 B) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (not (tptp.v3_tex_4 B A)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (=> (and (tptp.v1_tex_4 B A) (tptp.v3_pre_topc B A)) (tptp.v3_tex_4 B A)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (=> (and (tptp.v1_tex_4 B A) (tptp.v4_pre_topc B A)) (tptp.v3_tex_4 B A)))))) (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 B _let_1) (= (tptp.k2_tex_4 A B) (tptp.k5_setfam_1 _let_1 (tptp.k1_tex_4 A B)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (tptp.r1_tarski (tptp.k1_struct_0 A B) (tptp.k2_tex_4 A B)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (=> (and (tptp.v1_tex_4 B A) (tptp.r2_hidden C B)) (tptp.r1_tarski B (tptp.k2_tex_4 A C))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (tptp.v3_tex_4 (tptp.k2_tex_4 A B) A))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k2_tex_4 A B))) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (tptp.r2_hidden C _let_1) (= (tptp.k2_tex_4 A C) _let_1))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k2_tex_4 A C))) (let ((_let_2 (tptp.k2_tex_4 A B))) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (or (tptp.r1_subset_1 _let_2 _let_1) (= _let_2 _let_1)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (=> (and (tptp.v4_pre_topc B A) (tptp.r2_hidden C B)) (tptp.r1_tarski (tptp.k2_tex_4 A C) B)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (=> (and (tptp.v3_pre_topc B A) (tptp.r2_hidden C B)) (tptp.r1_tarski (tptp.k2_tex_4 A C) B)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (tptp.v3_tex_4 B A) (exists ((C $$unsorted)) (and (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (tptp.r2_hidden C B) (= B (tptp.k2_tex_4 A C))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (=> (and (tptp.r2_hidden C B) (tptp.v3_tex_4 B A)) (= B (tptp.k2_tex_4 A C))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (= (tptp.v3_tex_4 B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (=> (tptp.r2_hidden C B) (= B (tptp.k2_tex_4 A C)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (= (tptp.k2_tex_4 A B) (tptp.k3_tex_4 A (tptp.k1_struct_0 A B))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k2_tex_4 A C))) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (not (and (not (tptp.r1_xboole_0 _let_1 (tptp.k3_tex_4 A B))) (tptp.r1_xboole_0 _let_1 B)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k3_tex_4 A B))) (let ((_let_2 (tptp.k2_tex_4 A C))) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (=> (not (tptp.r1_xboole_0 _let_2 _let_1)) (tptp.r1_tarski _let_2 _let_1)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (tptp.r1_tarski B C) (tptp.r1_tarski (tptp.k3_tex_4 A B) (tptp.k3_tex_4 A C))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (tptp.r1_tarski B (tptp.k3_tex_4 A B)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k3_tex_4 A B))) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= _let_1 (tptp.k3_tex_4 A _let_1))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k3_tex_4 A C))) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (tptp.r1_tarski B _let_1) (tptp.r1_tarski (tptp.k3_tex_4 A B) _let_1))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k3_tex_4 A C))) (let ((_let_2 (tptp.k3_tex_4 A B))) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (and (tptp.r1_tarski C _let_2) (tptp.r1_tarski B _let_1)) (= _let_2 _let_1)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 _let_1)) (= (tptp.k3_tex_4 A (tptp.k4_subset_1 _let_1 B C)) (tptp.k4_subset_1 _let_1 (tptp.k3_tex_4 A B) (tptp.k3_tex_4 A C)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 _let_1)) (tptp.r1_tarski (tptp.k3_tex_4 A (tptp.k5_subset_1 _let_1 B C)) (tptp.k5_subset_1 _let_1 (tptp.k3_tex_4 A B) (tptp.k3_tex_4 A C)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (and (tptp.v3_pre_topc B A) (tptp.r1_tarski C B)) (tptp.r1_tarski (tptp.k3_tex_4 A C) B)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (and (tptp.v4_pre_topc B A) (tptp.r1_tarski C B)) (tptp.r1_tarski (tptp.k3_tex_4 A C) B)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (tptp.v1_tex_4 B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (=> (tptp.r2_hidden C B) (tptp.r1_tarski B (tptp.k6_pre_topc A (tptp.k1_struct_0 A C))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (tptp.v1_tex_4 B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (=> (tptp.r2_hidden C B) (= (tptp.k6_pre_topc A B) (tptp.k6_pre_topc A (tptp.k1_struct_0 A C))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (tptp.v1_tex_4 B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (=> (and (tptp.r2_hidden C B) (tptp.r2_hidden D B)) (= (tptp.k6_pre_topc A (tptp.k1_struct_0 A C)) (tptp.k6_pre_topc A (tptp.k1_struct_0 A D))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k6_pre_topc A (tptp.k1_struct_0 A B)))) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_tex_4 C A) (tptp.r1_tarski _let_1 C)) (= C _let_1))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (and (tptp.v1_tex_4 B A) (tptp.v4_pre_topc B A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (=> (tptp.r2_hidden C B) (= B (tptp.k6_pre_topc A (tptp.k1_struct_0 A C))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (tptp.v1_tex_4 B A) (or (tptp.v3_pre_topc B A) (tptp.v2_tops_1 B A))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k1_struct_0 A B))) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (=> (= (tptp.k6_pre_topc A _let_1) _let_1) (tptp.v3_tex_4 _let_1 A))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (tptp.r1_tarski (tptp.k2_tex_4 A B) (tptp.k6_pre_topc A (tptp.k1_struct_0 A B))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (= (tptp.k2_tex_4 A B) (tptp.k2_tex_4 A C)) (= (tptp.k6_pre_topc A (tptp.k1_struct_0 A B)) (tptp.k6_pre_topc A (tptp.k1_struct_0 A C)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (tptp.r1_subset_1 (tptp.k2_tex_4 A B) (tptp.k2_tex_4 A C)) (not (= (tptp.k6_pre_topc A (tptp.k1_struct_0 A B)) (tptp.k6_pre_topc A (tptp.k1_struct_0 A C))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (tptp.r1_subset_1 (tptp.k4_tex_4 A B) (tptp.k4_tex_4 A C)) (not (and (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (not (and (tptp.v3_pre_topc D A) (tptp.r1_tarski (tptp.k4_tex_4 A B) D) (tptp.r1_xboole_0 D (tptp.k4_tex_4 A C)))))) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (not (and (tptp.v3_pre_topc D A) (tptp.r1_xboole_0 D (tptp.k4_tex_4 A B)) (tptp.r1_tarski (tptp.k4_tex_4 A C) D)))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (tptp.r1_subset_1 (tptp.k4_tex_4 A B) (tptp.k4_tex_4 A C)) (not (and (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (not (and (tptp.v4_pre_topc D A) (tptp.r1_tarski (tptp.k4_tex_4 A B) D) (tptp.r1_xboole_0 D (tptp.k4_tex_4 A C)))))) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (not (and (tptp.v4_pre_topc D A) (tptp.r1_xboole_0 D (tptp.k4_tex_4 A B)) (tptp.r1_tarski (tptp.k4_tex_4 A C) D)))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (tptp.v3_pre_topc B A) (= (tptp.k3_tex_4 A B) B)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k1_tops_1 A B))) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (tptp.k3_tex_4 A _let_1) _let_1)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (tptp.r1_tarski (tptp.k3_tex_4 A B) (tptp.k6_pre_topc A B)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (tptp.v4_pre_topc B A) (= (tptp.k3_tex_4 A B) B)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k6_pre_topc A B))) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (tptp.k3_tex_4 A _let_1) _let_1)))))) _let_3 (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (= (tptp.k3_tex_4 A B) (tptp.k3_tex_4 A C)) (= (tptp.k6_pre_topc A B) (tptp.k6_pre_topc A C))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 _let_1)) (=> (or (tptp.v4_pre_topc B A) (tptp.v4_pre_topc C A)) (= (tptp.k3_tex_4 A (tptp.k5_subset_1 _let_1 B C)) (tptp.k5_subset_1 _let_1 (tptp.k3_tex_4 A B) (tptp.k3_tex_4 A C))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 _let_1)) (=> (or (tptp.v3_pre_topc B A) (tptp.v3_pre_topc C A)) (= (tptp.k3_tex_4 A (tptp.k5_subset_1 _let_1 B C)) (tptp.k5_subset_1 _let_1 (tptp.k3_tex_4 A B) (tptp.k3_tex_4 A C))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_pre_topc B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (and (= C (tptp.u1_struct_0 B)) (tptp.v2_tdlat_3 B)) (tptp.v1_tex_4 C A)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_pre_topc B A) (=> (tptp.v2_pre_topc B) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (and (= C (tptp.u1_struct_0 B)) (tptp.v1_tex_4 C A)) (tptp.v2_tdlat_3 B))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.m1_pre_topc B A)) (=> (forall ((C $$unsorted)) (=> (and (tptp.v1_tsep_1 C A) (tptp.m1_pre_topc C A)) (or (tptp.r1_tsep_1 A B C) (tptp.m1_pre_topc B C)))) (tptp.v2_tdlat_3 B)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.m1_pre_topc B A)) (=> (forall ((C $$unsorted)) (=> (and (tptp.v1_borsuk_1 C A) (tptp.m1_pre_topc C A)) (or (tptp.r1_tsep_1 A B C) (tptp.m1_pre_topc B C)))) (tptp.v2_tdlat_3 B)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (tptp.v2_tdlat_3 B) (tptp.m1_pre_topc B A)) (forall ((C $$unsorted)) (=> (and (tptp.v1_tsep_1 C A) (tptp.m1_pre_topc C A)) (or (tptp.r1_tsep_1 A B C) (tptp.m1_pre_topc B C)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (tptp.v2_tdlat_3 B) (tptp.m1_pre_topc B A)) (forall ((C $$unsorted)) (=> (and (tptp.v1_borsuk_1 C A) (tptp.m1_pre_topc C A)) (or (tptp.r1_tsep_1 A B C) (tptp.m1_pre_topc B C)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_pre_topc B A) (= (tptp.v4_tex_4 B A) (and (tptp.v2_tdlat_3 B) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 C))) (let ((_let_2 (tptp.u1_struct_0 B))) (=> (tptp.m1_pre_topc C A) (=> (and (tptp.v2_tdlat_3 C) (tptp.r1_tarski _let_2 _let_1)) (= _let_2 _let_1)))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.m1_pre_topc B A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (= C (tptp.u1_struct_0 B)) (= (tptp.v4_tex_4 B A) (tptp.v3_tex_4 C A))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (and (tptp.v1_pre_topc C) (tptp.m1_pre_topc C A)) (= (= C (tptp.k5_tex_4 A B)) (= (tptp.u1_struct_0 C) (tptp.k2_tex_4 A B))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (tptp.m1_pre_topc (tptp.k1_tex_2 A B) (tptp.k5_tex_4 A B)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k5_tex_4 A B))) (let ((_let_2 (tptp.u1_struct_0 _let_1))) (let ((_let_3 (tptp.k5_tex_4 A C))) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (tptp.m1_subset_1 C _let_2) (= (tptp.g1_pre_topc (tptp.u1_struct_0 _let_3) (tptp.u1_pre_topc _let_3)) (tptp.g1_pre_topc _let_2 (tptp.u1_pre_topc _let_1))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k5_tex_4 A C))) (let ((_let_2 (tptp.u1_struct_0 _let_1))) (let ((_let_3 (tptp.k5_tex_4 A B))) (let ((_let_4 (tptp.u1_struct_0 _let_3))) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (or (tptp.r1_subset_1 _let_4 _let_2) (= (tptp.g1_pre_topc _let_4 (tptp.u1_pre_topc _let_3)) (tptp.g1_pre_topc _let_2 (tptp.u1_pre_topc _let_1)))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v1_borsuk_1 B A) (tptp.m1_pre_topc B A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 B)) (tptp.m1_pre_topc (tptp.k5_tex_4 A C) B)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v1_tsep_1 B A) (tptp.m1_pre_topc B A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 B)) (tptp.m1_pre_topc (tptp.k5_tex_4 A C) B)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k1_struct_0 A B))) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (=> (= (tptp.k6_pre_topc A _let_1) _let_1) (tptp.v4_tex_4 (tptp.k1_tex_2 A B) A))))))) (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (=> (and (tptp.v1_pre_topc C) (tptp.m1_pre_topc C A)) (= (= C (tptp.k6_tex_4 A B)) (= (tptp.u1_struct_0 C) B)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 (tptp.k6_tex_4 A B)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_pre_topc B A) (forall ((C $$unsorted)) (=> (and (not (tptp.v1_xboole_0 C)) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B))) (tptp.m1_pre_topc (tptp.k6_tex_4 A C) B)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (=> (and (tptp.v1_pre_topc C) (tptp.m1_pre_topc C A)) (= (= C (tptp.k7_tex_4 A B)) (= (tptp.u1_struct_0 C) (tptp.k3_tex_4 A B))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 (tptp.k7_tex_4 A B)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (tptp.m1_pre_topc (tptp.k6_tex_4 A B) (tptp.k7_tex_4 A B)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k7_tex_4 A (tptp.k1_struct_0 A B)))) (let ((_let_2 (tptp.k5_tex_4 A B))) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (= (tptp.g1_pre_topc (tptp.u1_struct_0 _let_2) (tptp.u1_pre_topc _let_2)) (tptp.g1_pre_topc (tptp.u1_struct_0 _let_1) (tptp.u1_pre_topc _let_1))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (forall ((C $$unsorted)) (=> (and (not (tptp.v1_xboole_0 C)) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (=> (tptp.r1_tarski B C) (tptp.m1_pre_topc (tptp.k7_tex_4 A B) (tptp.k7_tex_4 A C))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k7_tex_4 A (tptp.k3_tex_4 A B)))) (let ((_let_2 (tptp.k7_tex_4 A B))) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (= (tptp.g1_pre_topc (tptp.u1_struct_0 _let_2) (tptp.u1_pre_topc _let_2)) (tptp.g1_pre_topc (tptp.u1_struct_0 _let_1) (tptp.u1_pre_topc _let_1))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k7_tex_4 A C))) (=> (and (not (tptp.v1_xboole_0 C)) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 _let_1))) (tptp.m1_pre_topc (tptp.k7_tex_4 A B) _let_1))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k7_tex_4 A C))) (let ((_let_2 (tptp.u1_struct_0 _let_1))) (let ((_let_3 (tptp.k7_tex_4 A B))) (let ((_let_4 (tptp.u1_struct_0 _let_3))) (=> (and (not (tptp.v1_xboole_0 C)) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (= (and (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 _let_4)) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 _let_2))) (= (tptp.g1_pre_topc _let_4 (tptp.u1_pre_topc _let_3)) (tptp.g1_pre_topc _let_2 (tptp.u1_pre_topc _let_1)))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_tsep_1 B A) (tptp.m1_pre_topc B A)) (forall ((C $$unsorted)) (=> (and (not (tptp.v1_xboole_0 C)) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B))) (tptp.m1_pre_topc (tptp.k7_tex_4 A C) B)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_borsuk_1 B A) (tptp.m1_pre_topc B A)) (forall ((C $$unsorted)) (=> (and (not (tptp.v1_xboole_0 C)) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B))) (tptp.m1_pre_topc (tptp.k7_tex_4 A C) B)))))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (tptp.l1_pre_topc A) (tptp.m1_subset_1 B _let_1)) (tptp.m1_subset_1 (tptp.k1_tex_4 A B) (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 _let_1)))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (tptp.l1_pre_topc A) (tptp.m1_subset_1 B _let_1)) (tptp.m1_subset_1 (tptp.k2_tex_4 A B) (tptp.k1_zfmisc_1 _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_pre_topc A) (tptp.m1_subset_1 B _let_1)) (tptp.m1_subset_1 (tptp.k3_tex_4 A B) _let_1)))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.k4_tex_4 A B))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A) (tptp.m1_subset_1 B _let_1)) (and (not (tptp.v1_xboole_0 _let_2)) (tptp.m1_subset_1 _let_2 (tptp.k1_zfmisc_1 _let_1))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A) (tptp.m1_subset_1 B (tptp.u1_struct_0 A))) (= (tptp.k4_tex_4 A B) (tptp.k2_tex_4 A B)))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k5_tex_4 A B))) (=> (and (tptp.l1_pre_topc A) (tptp.m1_subset_1 B (tptp.u1_struct_0 A))) (and (tptp.v1_pre_topc _let_1) (tptp.m1_pre_topc _let_1 A))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k6_tex_4 A B))) (=> (and (tptp.l1_pre_topc A) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (and (tptp.v1_pre_topc _let_1) (tptp.m1_pre_topc _let_1 A))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k7_tex_4 A B))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_pre_topc A) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (and (tptp.v1_pre_topc _let_1) (tptp.m1_pre_topc _let_1 A))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (tptp.k6_pre_topc A B) (tptp.k1_setfam_1 (tptp.a_2_0_tex_4 A B))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (= (tptp.k6_pre_topc A (tptp.k1_struct_0 A B)) (tptp.k1_setfam_1 (tptp.a_2_1_tex_4 A B))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (tptp.k1_tops_1 A B) (tptp.k3_tarski (tptp.a_2_2_tex_4 A B))))))) (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (= (tptp.k1_tex_4 A B) (tptp.a_2_3_tex_4 A B)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.a_2_4_tex_4 A B))) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (=> (not (= _let_1 tptp.k1_xboole_0)) (tptp.r1_tarski (tptp.k2_tex_4 A B) (tptp.k1_setfam_1 _let_1)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.a_2_5_tex_4 A B))) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (=> (not (= _let_1 tptp.k1_xboole_0)) (tptp.r1_tarski (tptp.k2_tex_4 A B) (tptp.k1_setfam_1 _let_1)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (tptp.k3_tex_4 A B) (tptp.k3_tarski (tptp.a_2_6_tex_4 A B))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.a_2_7_tex_4 A B))) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (not (= _let_1 tptp.k1_xboole_0)) (tptp.r1_tarski (tptp.k3_tex_4 A B) (tptp.k1_setfam_1 _let_1)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.a_2_8_tex_4 A B))) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (not (= _let_1 tptp.k1_xboole_0)) (tptp.r1_tarski (tptp.k3_tex_4 A B) (tptp.k1_setfam_1 _let_1)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (tptp.r1_tarski (tptp.k2_tex_4 A B) (tptp.k1_setfam_1 (tptp.a_2_9_tex_4 A B))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (tptp.r1_tarski (tptp.k2_tex_4 A B) (tptp.k1_setfam_1 (tptp.a_2_1_tex_4 A B))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (= (tptp.k4_tex_4 A B) (tptp.k3_xboole_0 (tptp.k6_pre_topc A (tptp.k1_struct_0 A B)) (tptp.k1_setfam_1 (tptp.a_2_9_tex_4 A B)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (tptp.r1_tarski (tptp.k6_pre_topc A (tptp.k1_struct_0 A B)) (tptp.k6_pre_topc A (tptp.k1_struct_0 A C))) (tptp.r1_tarski (tptp.k1_setfam_1 (tptp.a_2_9_tex_4 A C)) (tptp.k1_setfam_1 (tptp.a_2_9_tex_4 A B)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (tptp.r1_tarski (tptp.k6_pre_topc A (tptp.k1_struct_0 A B)) (tptp.k6_pre_topc A (tptp.k1_struct_0 A C))) (tptp.r1_tarski (tptp.k4_tex_4 A C) (tptp.k1_setfam_1 (tptp.a_2_9_tex_4 A B)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (tptp.r1_tarski (tptp.k3_tex_4 A B) (tptp.k1_setfam_1 (tptp.a_2_10_tex_4 A B))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (tptp.r1_tarski (tptp.k3_tex_4 A B) (tptp.k1_setfam_1 (tptp.a_2_0_tex_4 A B))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_pre_topc B) (tptp.l1_pre_topc B) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B)))) (= (tptp.r2_hidden A (tptp.a_2_0_tex_4 B C)) (exists ((D $$unsorted)) (and (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B))) (= A D) (tptp.v4_pre_topc D B) (tptp.r1_tarski C D)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_pre_topc B) (tptp.l1_pre_topc B) (tptp.m1_subset_1 C (tptp.u1_struct_0 B))) (= (tptp.r2_hidden A (tptp.a_2_1_tex_4 B C)) (exists ((D $$unsorted)) (and (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B))) (= A D) (tptp.v4_pre_topc D B) (tptp.r2_hidden C D)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_pre_topc B) (tptp.l1_pre_topc B) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B)))) (= (tptp.r2_hidden A (tptp.a_2_2_tex_4 B C)) (exists ((D $$unsorted)) (and (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B))) (= A D) (tptp.v3_pre_topc D B) (tptp.r1_tarski D C)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.l1_pre_topc B) (tptp.m1_subset_1 C (tptp.u1_struct_0 B))) (= (tptp.r2_hidden A (tptp.a_2_3_tex_4 B C)) (exists ((D $$unsorted)) (and (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B))) (= A D) (tptp.v1_tex_4 D B) (tptp.r2_hidden C D)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.l1_pre_topc B) (tptp.m1_subset_1 C (tptp.u1_struct_0 B))) (= (tptp.r2_hidden A (tptp.a_2_4_tex_4 B C)) (exists ((D $$unsorted)) (and (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B))) (= A D) (tptp.v4_pre_topc D B) (tptp.r2_hidden C D)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.l1_pre_topc B) (tptp.m1_subset_1 C (tptp.u1_struct_0 B))) (= (tptp.r2_hidden A (tptp.a_2_5_tex_4 B C)) (exists ((D $$unsorted)) (and (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B))) (= A D) (tptp.v3_pre_topc D B) (tptp.r2_hidden C D)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.l1_pre_topc B) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B)))) (= (tptp.r2_hidden A (tptp.a_2_6_tex_4 B C)) (exists ((D $$unsorted)) (and (tptp.m1_subset_1 D (tptp.u1_struct_0 B)) (= A (tptp.k2_tex_4 B D)) (tptp.r2_hidden D C)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.l1_pre_topc B) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B)))) (= (tptp.r2_hidden A (tptp.a_2_7_tex_4 B C)) (exists ((D $$unsorted)) (and (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B))) (= A D) (tptp.v3_pre_topc D B) (tptp.r1_tarski C D)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.l1_pre_topc B) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B)))) (= (tptp.r2_hidden A (tptp.a_2_8_tex_4 B C)) (exists ((D $$unsorted)) (and (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B))) (= A D) (tptp.v4_pre_topc D B) (tptp.r1_tarski C D)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_pre_topc B) (tptp.l1_pre_topc B) (tptp.m1_subset_1 C (tptp.u1_struct_0 B))) (= (tptp.r2_hidden A (tptp.a_2_9_tex_4 B C)) (exists ((D $$unsorted)) (and (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B))) (= A D) (tptp.v3_pre_topc D B) (tptp.r2_hidden C D)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_pre_topc B) (tptp.l1_pre_topc B) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B)))) (= (tptp.r2_hidden A (tptp.a_2_10_tex_4 B C)) (exists ((D $$unsorted)) (and (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B))) (= A D) (tptp.v3_pre_topc D B) (tptp.r1_tarski C D)))))) (forall ((A $$unsorted)) (let ((_let_1 (not (tptp.v3_struct_0 A)))) (=> (tptp.l1_pre_topc A) (=> (and _let_1 (tptp.v3_realset2 A)) (and _let_1 (tptp.v2_t_0topsp A)))))) (forall ((A $$unsorted)) (let ((_let_1 (not (tptp.v3_struct_0 A)))) (=> (tptp.l1_pre_topc A) (=> (and _let_1 (not (tptp.v2_t_0topsp A))) (and _let_1 (not (tptp.v3_realset2 A))))))) (exists ((A $$unsorted)) (and (tptp.l1_pre_topc A) (not (tptp.v3_struct_0 A)) (tptp.v1_pre_topc A) (tptp.v2_pre_topc A) (tptp.v2_t_0topsp A))) (exists ((A $$unsorted)) (and (tptp.l1_pre_topc A) (not (tptp.v3_struct_0 A)) (not (tptp.v3_realset2 A)) (tptp.v1_pre_topc A) (tptp.v2_pre_topc A) (not (tptp.v2_t_0topsp A)))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.v2_pre_topc A))) (let ((_let_2 (not (tptp.v3_struct_0 A)))) (=> (tptp.l1_pre_topc A) (=> (and _let_2 _let_1 (tptp.v1_tdlat_3 A)) (and _let_2 _let_1 (tptp.v2_t_0topsp A))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.v2_pre_topc A))) (let ((_let_2 (not (tptp.v3_struct_0 A)))) (=> (tptp.l1_pre_topc A) (=> (and _let_2 _let_1 (not (tptp.v2_t_0topsp A))) (and _let_2 (not (tptp.v3_realset2 A)) _let_1 (not (tptp.v1_tdlat_3 A)))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.v2_pre_topc A))) (let ((_let_2 (not (tptp.v3_realset2 A)))) (let ((_let_3 (not (tptp.v3_struct_0 A)))) (=> (tptp.l1_pre_topc A) (=> (and _let_3 _let_2 _let_1 (tptp.v2_tdlat_3 A)) (and _let_3 _let_2 _let_1 (not (tptp.v2_t_0topsp A))))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.v2_t_0topsp A))) (let ((_let_2 (tptp.v2_tdlat_3 A))) (let ((_let_3 (tptp.v2_pre_topc A))) (let ((_let_4 (not (tptp.v3_struct_0 A)))) (=> (tptp.l1_pre_topc A) (=> (and _let_4 _let_3 _let_2 _let_1) (and _let_4 (tptp.v3_realset2 A) _let_3 (tptp.v1_tdlat_3 A) _let_2 (tptp.v3_tdlat_3 A) (tptp.v4_tdlat_3 A) (tptp.v5_tdlat_3 A) _let_1)))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.v2_pre_topc A))) (let ((_let_2 (not (tptp.v3_realset2 A)))) (let ((_let_3 (not (tptp.v3_struct_0 A)))) (=> (tptp.l1_pre_topc A) (=> (and _let_3 _let_2 _let_1 (tptp.v2_t_0topsp A)) (and _let_3 _let_2 _let_1 (not (tptp.v2_tdlat_3 A))))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.v2_t_0topsp A))) (let ((_let_2 (tptp.v3_tdlat_3 A))) (let ((_let_3 (tptp.v2_pre_topc A))) (let ((_let_4 (not (tptp.v3_struct_0 A)))) (=> (tptp.l1_pre_topc A) (=> (and _let_4 _let_3 _let_2 _let_1) (and _let_4 _let_3 (tptp.v1_tdlat_3 A) _let_2 (tptp.v4_tdlat_3 A) (tptp.v5_tdlat_3 A) _let_1)))))))) (forall ((A $$unsorted)) (let ((_let_1 (not (tptp.v1_tdlat_3 A)))) (let ((_let_2 (tptp.v2_pre_topc A))) (let ((_let_3 (not (tptp.v3_struct_0 A)))) (=> (tptp.l1_pre_topc A) (=> (and _let_3 _let_2 _let_1 (tptp.v3_tdlat_3 A)) (and _let_3 (not (tptp.v3_realset2 A)) _let_2 _let_1 (not (tptp.v2_t_0topsp A))))))))) (forall ((A $$unsorted)) (let ((_let_1 (not (tptp.v1_tdlat_3 A)))) (let ((_let_2 (tptp.v2_pre_topc A))) (let ((_let_3 (not (tptp.v3_struct_0 A)))) (=> (tptp.l1_pre_topc A) (=> (and _let_3 _let_2 _let_1 (tptp.v2_t_0topsp A)) (and _let_3 (not (tptp.v3_realset2 A)) _let_2 _let_1 (not (tptp.v2_tdlat_3 A)) (not (tptp.v3_tdlat_3 A))))))))) (exists ((A $$unsorted)) (and (tptp.l1_pre_topc A) (not (tptp.v3_struct_0 A)) (not (tptp.v3_realset2 A)) (tptp.v1_pre_topc A) (tptp.v2_pre_topc A) (not (tptp.v2_tdlat_3 A)) (tptp.v2_t_0topsp A))) (exists ((A $$unsorted)) (and (tptp.l1_pre_topc A) (not (tptp.v3_struct_0 A)) (not (tptp.v3_realset2 A)) (tptp.v1_pre_topc A) (tptp.v2_pre_topc A) (not (tptp.v1_tdlat_3 A)) (not (tptp.v2_t_0topsp A)))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_pre_topc A)) (exists ((B $$unsorted)) (and (tptp.m1_pre_topc B A) (not (tptp.v3_struct_0 B)) (tptp.v1_pre_topc B) (tptp.v2_t_0topsp B))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (not (tptp.v3_realset2 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (exists ((B $$unsorted)) (and (tptp.m1_pre_topc B A) (not (tptp.v3_struct_0 B)) (tptp.v1_pre_topc B) (tptp.v2_tex_2 B A) (tptp.v2_t_0topsp B))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.v2_t_0topsp A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (let ((_let_1 (not (tptp.v3_struct_0 B)))) (=> (tptp.m1_pre_topc B A) (=> _let_1 (and _let_1 (tptp.v2_t_0topsp B)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (not (tptp.v2_t_0topsp A)) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (let ((_let_1 (not (tptp.v3_struct_0 B)))) (=> (tptp.m1_pre_topc B A) (=> (and _let_1 (not (tptp.v2_tex_2 B A))) (and _let_1 (not (tptp.v3_realset2 B)) (not (tptp.v2_t_0topsp B))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (not (tptp.v2_t_0topsp A)) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (let ((_let_1 (not (tptp.v3_struct_0 B)))) (=> (tptp.m1_pre_topc B A) (=> (and _let_1 (tptp.v2_t_0topsp B)) (and _let_1 (tptp.v2_tex_2 B A)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (not (tptp.v2_t_0topsp A)) (tptp.l1_pre_topc A)) (exists ((B $$unsorted)) (and (tptp.m1_pre_topc B A) (tptp.v1_pre_topc B) (not (tptp.v2_t_0topsp B)))))) (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (forall ((B $$unsorted)) (=> (tptp.l1_pre_topc B) (= (tptp.m1_tsp_1 B A) (and (tptp.r1_tarski (tptp.u1_struct_0 B) (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B))) (= (tptp.v3_pre_topc C B) (exists ((D $$unsorted)) (and (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (tptp.v3_pre_topc D A) (= C (tptp.k3_xboole_0 D (tptp.u1_struct_0 B)))))))))))))) true (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (forall ((B $$unsorted)) (=> (tptp.m1_tsp_1 B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (not (and (tptp.v3_pre_topc C A) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 _let_1)) (not (and (tptp.v3_pre_topc D B) (= D (tptp.k3_xboole_0 C _let_1))))))))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (forall ((B $$unsorted)) (=> (tptp.l1_pre_topc B) (= (tptp.m2_tsp_1 B A) (and (tptp.r1_tarski (tptp.u1_struct_0 B) (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B))) (= (tptp.v4_pre_topc C B) (exists ((D $$unsorted)) (and (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (tptp.v4_pre_topc D A) (= C (tptp.k3_xboole_0 D (tptp.u1_struct_0 B)))))))))))))) true (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (forall ((B $$unsorted)) (=> (tptp.m2_tsp_1 B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (not (and (tptp.v4_pre_topc C A) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 _let_1)) (not (and (tptp.v4_pre_topc D B) (= D (tptp.k3_xboole_0 C _let_1))))))))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (= (tptp.v2_t_0topsp A) (or (tptp.v3_struct_0 A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (not (and (not (= B C)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (not (and (tptp.v3_pre_topc D A) (tptp.r2_hidden B D) (not (tptp.r2_hidden C D)))))) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (not (and (tptp.v3_pre_topc D A) (not (tptp.r2_hidden B D)) (tptp.r2_hidden C D))))))))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (= (tptp.v2_t_0topsp A) (or (tptp.v3_struct_0 A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (not (and (not (= B C)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (not (and (tptp.v4_pre_topc D A) (tptp.r2_hidden B D) (not (tptp.r2_hidden C D)))))) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (not (and (tptp.v4_pre_topc D A) (not (tptp.r2_hidden B D)) (tptp.r2_hidden C D))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (= (tptp.v2_t_0topsp A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (not (and (not (= B C)) (= (tptp.k6_pre_topc A (tptp.k1_struct_0 A B)) (tptp.k6_pre_topc A (tptp.k1_struct_0 A C)))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (= (tptp.v2_t_0topsp A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (not (and (not (= B C)) (tptp.r2_hidden B (tptp.k6_pre_topc A (tptp.k1_struct_0 A C))) (tptp.r2_hidden C (tptp.k6_pre_topc A (tptp.k1_struct_0 A B)))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (= (tptp.v2_t_0topsp A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k6_pre_topc A (tptp.k1_struct_0 A C)))) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (not (and (not (= B C)) (tptp.r2_hidden B _let_1) (tptp.r1_tarski _let_1 (tptp.k6_pre_topc A (tptp.k1_struct_0 A B))))))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (tptp.v1_tsp_1 B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (not (and (tptp.r2_hidden C B) (tptp.r2_hidden D B) (not (= C D)) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (not (and (tptp.v3_pre_topc E A) (tptp.r2_hidden C E) (not (tptp.r2_hidden D E)))))) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (not (and (tptp.v3_pre_topc E A) (not (tptp.r2_hidden C E)) (tptp.r2_hidden D E)))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (tptp.v1_tsp_1 B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (not (and (tptp.r2_hidden C B) (tptp.r2_hidden D B) (not (= C D)) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (not (and (tptp.v4_pre_topc E A) (tptp.r2_hidden C E) (not (tptp.r2_hidden D E)))))) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (not (and (tptp.v4_pre_topc E A) (not (tptp.r2_hidden C E)) (tptp.r2_hidden D E)))))))))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (forall ((B $$unsorted)) (=> (tptp.l1_pre_topc B) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 _let_1)) (=> (and (= (tptp.g1_pre_topc (tptp.u1_struct_0 A) (tptp.u1_pre_topc A)) (tptp.g1_pre_topc _let_1 (tptp.u1_pre_topc B))) (= C D) (tptp.v1_tsp_1 C A)) (tptp.v1_tsp_1 D B))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 _let_1)) (=> (= B _let_1) (= (tptp.v1_tsp_1 B A) (tptp.v2_t_0topsp A)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (and (tptp.r1_tarski C B) (tptp.v1_tsp_1 B A)) (tptp.v1_tsp_1 C A)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 _let_1)) (=> (or (tptp.v1_tsp_1 B A) (tptp.v1_tsp_1 C A)) (tptp.v1_tsp_1 (tptp.k5_subset_1 _let_1 B C) A))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 _let_1)) (=> (and (tptp.v1_tsp_1 B A) (tptp.v1_tsp_1 C A)) (or (and (not (tptp.v3_pre_topc B A)) (not (tptp.v3_pre_topc C A))) (tptp.v1_tsp_1 (tptp.k4_subset_1 _let_1 B C) A)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 _let_1)) (=> (and (tptp.v1_tsp_1 B A) (tptp.v1_tsp_1 C A)) (or (and (not (tptp.v4_pre_topc B A)) (not (tptp.v4_pre_topc C A))) (tptp.v1_tsp_1 (tptp.k4_subset_1 _let_1 B C) A)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (tptp.v3_tex_2 B A) (tptp.v1_tsp_1 B A)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (not (and (tptp.v1_tex_4 B A) (not (tptp.v1_realset1 B)) (tptp.v1_tsp_1 B A))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (tptp.v1_tsp_1 B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (not (and (tptp.r2_hidden C B) (tptp.r2_hidden D B) (not (= C D)) (= (tptp.k6_pre_topc A (tptp.k1_struct_0 A C)) (tptp.k6_pre_topc A (tptp.k1_struct_0 A D)))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (tptp.v1_tsp_1 B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (not (and (tptp.r2_hidden C B) (tptp.r2_hidden D B) (not (= C D)) (tptp.r2_hidden C (tptp.k6_pre_topc A (tptp.k1_struct_0 A D))) (tptp.r2_hidden D (tptp.k6_pre_topc A (tptp.k1_struct_0 A C)))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (tptp.v1_tsp_1 B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k6_pre_topc A (tptp.k1_struct_0 A D)))) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (not (and (tptp.r2_hidden C B) (tptp.r2_hidden D B) (not (= C D)) (tptp.r2_hidden C _let_1) (tptp.r1_tarski _let_1 (tptp.k6_pre_topc A (tptp.k1_struct_0 A C))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_xboole_0 B) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (tptp.v1_tsp_1 B A))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (tptp.v1_tsp_1 (tptp.k1_struct_0 A B) A))))) (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (forall ((B $$unsorted)) (=> (tptp.m2_tsp_1 B A) (= (tptp.v2_t_0topsp B) (or (tptp.v3_struct_0 B) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (not (and (tptp.m1_subset_1 C _let_1) (tptp.m1_subset_1 D _let_1) (not (= C D)) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (not (and (tptp.v3_pre_topc E A) (tptp.r2_hidden C E) (not (tptp.r2_hidden D E)))))) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (not (and (tptp.v3_pre_topc E A) (not (tptp.r2_hidden C E)) (tptp.r2_hidden D E)))))))))))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (forall ((B $$unsorted)) (=> (tptp.m2_tsp_1 B A) (= (tptp.v2_t_0topsp B) (or (tptp.v3_struct_0 B) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (not (and (tptp.m1_subset_1 C _let_1) (tptp.m1_subset_1 D _let_1) (not (= C D)) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (not (and (tptp.v4_pre_topc E A) (tptp.r2_hidden C E) (not (tptp.r2_hidden D E)))))) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (not (and (tptp.v4_pre_topc E A) (not (tptp.r2_hidden C E)) (tptp.r2_hidden D E)))))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.m2_tsp_1 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (= C (tptp.u1_struct_0 B)) (= (tptp.v1_tsp_1 C A) (tptp.v2_t_0topsp B))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.m2_tsp_1 B A)) (forall ((C $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.v2_t_0topsp C) (tptp.m2_tsp_1 C A)) (=> (tptp.m2_tsp_1 B C) (tptp.v2_t_0topsp B)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_t_0topsp B) (tptp.m2_tsp_1 B A)) (forall ((C $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.m2_tsp_1 C A)) (=> (not (tptp.r1_tsep_1 A B C)) (tptp.v2_t_0topsp (tptp.k2_tsep_1 A B C))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_t_0topsp B) (tptp.m2_tsp_1 B A)) (forall ((C $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.v2_t_0topsp C) (tptp.m2_tsp_1 C A)) (=> (or (tptp.v1_tsep_1 B A) (tptp.v1_tsep_1 C A)) (tptp.v2_t_0topsp (tptp.k1_tsep_1 A B C))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_t_0topsp B) (tptp.m2_tsp_1 B A)) (forall ((C $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.v2_t_0topsp C) (tptp.m2_tsp_1 C A)) (=> (or (tptp.v1_borsuk_1 B A) (tptp.v1_borsuk_1 C A)) (tptp.v2_t_0topsp (tptp.k1_tsep_1 A B C))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (not (and (tptp.v1_tsp_1 B A) (forall ((C $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.v1_pre_topc C) (tptp.v2_t_0topsp C) (tptp.m2_tsp_1 C A)) (not (= B (tptp.u1_struct_0 C))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (not (tptp.v2_t_0topsp A)) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (not (and (not (tptp.v1_tsp_1 B A)) (forall ((C $$unsorted)) (=> (and (tptp.v1_pre_topc C) (not (tptp.v2_t_0topsp C)) (tptp.m2_tsp_1 C A)) (not (= B (tptp.u1_struct_0 C))))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (forall ((B $$unsorted)) (=> (tptp.m1_tsp_1 B A) (tptp.l1_pre_topc B))))) (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (exists ((B $$unsorted)) (tptp.m1_tsp_1 B A)))) (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (forall ((B $$unsorted)) (= (tptp.m1_tsp_1 B A) (tptp.m1_pre_topc B A))))) (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (forall ((B $$unsorted)) (=> (tptp.m2_tsp_1 B A) (tptp.l1_pre_topc B))))) (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (exists ((B $$unsorted)) (tptp.m2_tsp_1 B A)))) (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (forall ((B $$unsorted)) (= (tptp.m2_tsp_1 B A) (tptp.m1_pre_topc B A))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.l1_pre_topc A) (tptp.m1_pre_topc B A)) (= (tptp.v2_tsp_1 B A) (tptp.v2_t_0topsp B)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.l1_pre_topc A) (tptp.m1_pre_topc B A)) (= (tptp.v3_tsp_1 B A) (tptp.v2_t_0topsp B)))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (let ((_let_3 (tptp.k1_tsp_2 A B))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A) (not (tptp.v3_struct_0 B)) (tptp.v2_tsp_2 B A) (tptp.m1_pre_topc B A)) (and (tptp.v1_funct_1 _let_3) (tptp.v1_funct_2 _let_3 _let_2 _let_1) (tptp.v5_pre_topc _let_3 A B) (tptp.m2_relset_1 _let_3 _let_2 _let_1))))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (let ((_let_3 (tptp.k2_tsp_2 A B))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A) (not (tptp.v3_struct_0 B)) (tptp.v2_tsp_2 B A) (tptp.m1_pre_topc B A)) (and (tptp.v1_funct_1 _let_3) (tptp.v1_funct_2 _let_3 _let_2 _let_1) (tptp.v5_pre_topc _let_3 A B) (tptp.m2_relset_1 _let_3 _let_2 _let_1))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A) (not (tptp.v3_struct_0 B)) (tptp.v2_tsp_2 B A) (tptp.m1_pre_topc B A)) (= (tptp.k2_tsp_2 A B) (tptp.k1_tsp_2 A B)))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (let ((_let_3 (tptp.k3_tsp_2 A B))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A) (not (tptp.v3_struct_0 B)) (tptp.v2_tsp_2 B A) (tptp.m1_pre_topc B A)) (and (tptp.v1_funct_1 _let_3) (tptp.v1_funct_2 _let_3 _let_2 _let_1) (tptp.v5_pre_topc _let_3 A B) (tptp.m2_relset_1 _let_3 _let_2 _let_1))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A) (not (tptp.v3_struct_0 B)) (tptp.v2_tsp_2 B A) (tptp.m1_pre_topc B A)) (= (tptp.k3_tsp_2 A B) (tptp.k1_tsp_2 A B)))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (let ((_let_3 (tptp.k4_tsp_2 A B))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A) (not (tptp.v3_struct_0 B)) (tptp.v2_tsp_2 B A) (tptp.m1_pre_topc B A)) (and (tptp.v1_funct_1 _let_3) (tptp.v1_funct_2 _let_3 _let_2 _let_1) (tptp.v5_pre_topc _let_3 A B) (tptp.m2_relset_1 _let_3 _let_2 _let_1))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A) (not (tptp.v3_struct_0 B)) (tptp.v2_tsp_2 B A) (tptp.m1_pre_topc B A)) (= (tptp.k4_tsp_2 A B) (tptp.k1_tsp_2 A B)))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (tptp.v1_tsp_1 B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (=> (and (tptp.r2_hidden C B) (tptp.r2_hidden D B)) (or (= C D) (tptp.r1_subset_1 (tptp.k4_tex_4 A C) (tptp.k4_tex_4 A D))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (tptp.v1_tsp_1 B A) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 C _let_1) (=> (tptp.r2_hidden C B) (= (tptp.k5_subset_1 _let_1 B (tptp.k4_tex_4 A C)) (tptp.k1_struct_0 A C))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (tptp.v1_tsp_1 B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (not (and (tptp.r2_hidden C B) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 _let_1)) (not (and (tptp.v3_tex_4 D A) (= (tptp.k5_subset_1 _let_1 B D) (tptp.k1_struct_0 A C)))))))))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (tptp.v1_tsp_2 B A) (and (tptp.v1_tsp_1 B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_tsp_1 C A) (tptp.r1_tarski B C)) (= B C)))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (forall ((B $$unsorted)) (=> (tptp.l1_pre_topc B) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 _let_1)) (=> (and (= (tptp.g1_pre_topc (tptp.u1_struct_0 A) (tptp.u1_pre_topc A)) (tptp.g1_pre_topc _let_1 (tptp.u1_pre_topc B))) (= C D) (tptp.v1_tsp_2 C A)) (tptp.v1_tsp_2 D B))))))))))) _let_2 _let_1 true))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 7.29/7.49  )
% 7.29/7.49  % SZS output end Proof for TOP024+2
% 7.29/7.49  % cvc5---1.0.5 exiting
% 7.29/7.49  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------