TSTP Solution File: SEU444+2 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SEU444+2 : TPTP v8.1.2. Released v3.4.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n022.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 16:31:49 EDT 2023
% Result : Theorem 9.13s 9.35s
% Output : Proof 9.13s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.39 % Problem : SEU444+2 : TPTP v8.1.2. Released v3.4.0.
% 0.11/0.40 % Command : do_cvc5 %s %d
% 0.41/0.61 % Computer : n022.cluster.edu
% 0.41/0.61 % Model : x86_64 x86_64
% 0.41/0.61 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.41/0.61 % Memory : 8042.1875MB
% 0.41/0.61 % OS : Linux 3.10.0-693.el7.x86_64
% 0.41/0.61 % CPULimit : 300
% 0.41/0.61 % WCLimit : 300
% 0.41/0.61 % DateTime : Wed Aug 23 18:45:27 EDT 2023
% 0.41/0.61 % CPUTime :
% 1.03/1.18 %----Proving TF0_NAR, FOF, or CNF
% 9.13/9.35 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.5eW4Zo8K59/cvc5---1.0.5_10168.p...
% 9.13/9.35 ------- get file name : TPTP file name is SEU444+2
% 9.13/9.35 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_10168.smt2...
% 9.13/9.35 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 9.13/9.35 % SZS status Theorem for SEU444+2
% 9.13/9.35 % SZS output start Proof for SEU444+2
% 9.13/9.35 (
% 9.13/9.35 (let ((_let_1 (not (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k6_relset_1 B A C))) (=> (tptp.m2_relset_1 C B A) (and (= (tptp.k1_funct_5 C) (tptp.k10_relset_1 A B _let_1 A)) (= (tptp.k10_relset_1 A B _let_1 (tptp.k10_relset_1 B A C B)) (tptp.k10_relset_1 A B _let_1 (tptp.k2_funct_5 C)))))))))) (let ((_let_2 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.m2_relset_1 C B A) (and (= (tptp.k1_funct_5 C) (tptp.k10_relset_1 A B (tptp.k6_relset_1 B A C) A)) (= (tptp.k2_funct_5 C) (tptp.k10_relset_1 B A C B))))))) (let ((_let_3 (tptp.v3_vectsp_1 tptp.k3_vectsp_1))) (let ((_let_4 (tptp.v1_rlvect_1 tptp.k1_vectsp_1))) (let ((_let_5 (tptp.k2_group_1 tptp.k3_vectsp_1))) (let ((_let_6 (tptp.v2_group_1 tptp.k3_vectsp_1))) (let ((_let_7 (not (tptp.v3_struct_0 tptp.k3_vectsp_1)))) (let ((_let_8 (not (tptp.v3_struct_0 tptp.k1_vectsp_1)))) (let ((_let_9 (tptp.g1_group_1 tptp.k1_numbers tptp.k33_binop_2))) (let ((_let_10 (tptp.v4_group_1 _let_9))) (let ((_let_11 (tptp.v3_group_1 _let_9))) (let ((_let_12 (tptp.k1_pboole tptp.k1_xboole_0))) (let ((_let_13 (tptp.v1_finseq_1 tptp.k1_xboole_0))) (let ((_let_14 (tptp.v1_funct_1 tptp.k1_xboole_0))) (let ((_let_15 (tptp.v1_relat_1 tptp.k1_xboole_0))) (let ((_let_16 (tptp.v2_funct_1 tptp.k1_xboole_0))) (let ((_let_17 (tptp.v3_relat_1 tptp.k1_xboole_0))) (let ((_let_18 (tptp.v1_xboole_0 tptp.k1_xboole_0))) (let ((_let_19 (tptp.k1_card_1 tptp.k5_ordinal2))) (let ((_let_20 (tptp.k3_card_1 tptp.np__0))) (let ((_let_21 (tptp.k1_tarski (tptp.k4_tarski tptp.np__0 tptp.np__0)))) (let ((_let_22 (tptp.k1_tarski tptp.np__0))) (let ((_let_23 (tptp.r2_hidden tptp.k1_xboole_0 tptp.f1_s4_ordinal2))) (let ((_let_24 (= (tptp.k2_relat_1 tptp.k1_xboole_0) tptp.k1_xboole_0))) (let ((_let_25 (tptp.v3_ordinal1 tptp.k1_xboole_0))) (let ((_let_26 (tptp.k2_funct_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_117))) (let ((_let_27 (tptp.k10_relset_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_116 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_115 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_117 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_116))) (let ((_let_28 (= _let_27 _let_26))) (let ((_let_29 (tptp.k6_relset_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_116 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_115 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_117))) (let ((_let_30 (= (tptp.k10_relset_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_115 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_116 _let_29 _let_27) (tptp.k10_relset_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_115 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_116 _let_29 _let_26)))) (let ((_let_31 (= (tptp.k1_funct_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_117) (tptp.k10_relset_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_115 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_116 _let_29 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_115)))) (let ((_let_32 (and _let_31 _let_28))) (let ((_let_33 (tptp.m2_relset_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_117 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_116 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_115))) (let ((_let_34 (not _let_33))) (let ((_let_35 (or _let_34 _let_32))) (let ((_let_36 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (tptp.m2_relset_1 C B A)) (and (= (tptp.k1_funct_5 C) (tptp.k10_relset_1 A B (tptp.k6_relset_1 B A C) A)) (= (tptp.k2_funct_5 C) (tptp.k10_relset_1 B A C B))))))) (let ((_let_37 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_38 (and _let_31 _let_30))) (let ((_let_39 (or _let_34 _let_38))) (let ((_let_40 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k6_relset_1 B A C))) (or (not (tptp.m2_relset_1 C B A)) (and (= (tptp.k1_funct_5 C) (tptp.k10_relset_1 A B _let_1 A)) (= (tptp.k10_relset_1 A B _let_1 (tptp.k10_relset_1 B A C B)) (tptp.k10_relset_1 A B _let_1 (tptp.k2_funct_5 C))))))))) (let ((_let_41 (not _let_39))) (let ((_let_42 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_43 (or))) (let ((_let_44 (not _let_40))) (let ((_let_45 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_42) :args (_let_44))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_44) _let_40))) (REFL :args (_let_41)) :args _let_43)) _let_42 :args (_let_41 true _let_40)))) (let ((_let_46 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_35)) :args ((or _let_34 _let_32 (not _let_35)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_39 0)) (CONG (REFL :args (_let_39)) (MACRO_SR_PRED_INTRO :args ((= (not _let_34) _let_33))) :args _let_43)) :args ((or _let_33 _let_39))) _let_45 :args (_let_33 true _let_39)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_37 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_115 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_116 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_117 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.m2_relset_1 C B A) false))))) :args (_let_36)))) _let_37 :args (_let_35 false _let_36)) :args (_let_32 false _let_33 false _let_35)))) (let ((_let_47 (not _let_32))) (let ((_let_48 (_let_28))) (let ((_let_49 (ASSUME :args _let_48))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (IMPLIES_ELIM (SCOPE (MODUS_PONENS _let_49 (SCOPE (CONG (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_115)) (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_116)) (REFL :args (_let_29)) (SYMM (SYMM _let_49)) :args (APPLY_UF tptp.k10_relset_1)) :args _let_48)) :args _let_48)) :args ((or _let_30 (not _let_28)))) (MACRO_RESOLUTION_TRUST (CNF_AND_NEG :args (_let_38)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_39 1)) _let_45 :args ((not _let_38) true _let_39)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_32 0)) :args ((or _let_31 _let_47))) _let_46 :args (_let_31 false _let_32)) :args ((not _let_30) true _let_38 false _let_31)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_32 1)) :args ((or _let_28 _let_47))) _let_46 :args (_let_28 false _let_32)) :args (false true _let_30 false _let_28)) :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_18 (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) (tptp.k1_tarski tptp.k1_xboole_0)) (= (tptp.k3_tarski tptp.k1_xboole_0) tptp.k1_xboole_0) true true true (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.r1_tarski (tptp.k1_tarski A) (tptp.k1_tarski B)) (= A B))) true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (= (tptp.k1_tarski A) (tptp.k2_tarski B C)) (= A B))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (= (tptp.k1_tarski A) (tptp.k2_tarski B C)) (= B C))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (not (and (= (tptp.k2_tarski A B) (tptp.k2_tarski C D)) (not (= A C)) (not (= A D))))) true (forall ((A $$unsorted) (B $$unsorted)) (tptp.r1_tarski (tptp.k1_tarski A) (tptp.k2_tarski A B))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k1_tarski A))) (=> (= (tptp.k2_xboole_0 _let_1 (tptp.k1_tarski B)) _let_1) (= A B)))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k2_tarski A B))) (= (tptp.k2_xboole_0 (tptp.k1_tarski A) _let_1) _let_1))) true (forall ((A $$unsorted) (B $$unsorted)) (not (and (tptp.r1_xboole_0 (tptp.k1_tarski A) (tptp.k1_tarski B)) (= A B)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (not (= A B)) (tptp.r1_xboole_0 (tptp.k1_tarski A) (tptp.k1_tarski B)))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k1_tarski A))) (=> (= (tptp.k3_xboole_0 _let_1 (tptp.k1_tarski B)) _let_1) (= A B)))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k1_tarski A))) (= (tptp.k3_xboole_0 _let_1 (tptp.k2_tarski A B)) _let_1))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k1_tarski A))) (= (= (tptp.k4_xboole_0 _let_1 (tptp.k1_tarski B)) _let_1) (not (= A B))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (= (tptp.k4_xboole_0 (tptp.k1_tarski A) (tptp.k1_tarski B)) tptp.k1_xboole_0) (= A B))) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.k4_xboole_0 (tptp.k1_tarski A) (tptp.k2_tarski A B)) tptp.k1_xboole_0)) (forall ((A $$unsorted) (B $$unsorted)) (=> (not (= A B)) (= (tptp.k4_xboole_0 (tptp.k2_tarski A B) (tptp.k1_tarski B)) (tptp.k1_tarski A)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.r1_tarski (tptp.k1_tarski A) (tptp.k1_tarski B)) (= A B))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (not (and (tptp.r1_tarski (tptp.k1_tarski A) (tptp.k2_tarski B C)) (not (= A B)) (not (= A C))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.r1_tarski (tptp.k2_tarski A B) (tptp.k1_tarski C)) (= A C))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k1_tarski C))) (let ((_let_2 (tptp.k2_tarski A B))) (=> (tptp.r1_tarski _let_2 _let_1) (= _let_2 _let_1))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (not (and (tptp.r1_tarski (tptp.k2_tarski A B) (tptp.k2_tarski C D)) (not (= A C)) (not (= A D))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (not (= A B)) (= (tptp.k5_xboole_0 (tptp.k1_tarski A) (tptp.k1_tarski B)) (tptp.k2_tarski A B)))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k1_tarski A))) (= (tptp.k1_zfmisc_1 _let_1) (tptp.k2_tarski tptp.k1_xboole_0 _let_1)))) (forall ((A $$unsorted)) (= (tptp.k3_tarski (tptp.k1_tarski A)) A)) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.k3_tarski (tptp.k2_tarski (tptp.k1_tarski A) (tptp.k1_tarski B))) (tptp.k2_tarski A B))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (= (tptp.k4_tarski A B) (tptp.k4_tarski C D)) (and (= A C) (= B D)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (= (tptp.r2_hidden (tptp.k4_tarski A B) (tptp.k2_zfmisc_1 (tptp.k1_tarski C) (tptp.k1_tarski D))) (and (= A C) (= B D)))) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.k2_zfmisc_1 (tptp.k1_tarski A) (tptp.k1_tarski B)) (tptp.k1_tarski (tptp.k4_tarski A B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k4_tarski A C))) (and (= (tptp.k2_zfmisc_1 (tptp.k1_tarski A) (tptp.k2_tarski B C)) (tptp.k2_tarski (tptp.k4_tarski A B) _let_1)) (= (tptp.k2_zfmisc_1 (tptp.k2_tarski A B) (tptp.k1_tarski C)) (tptp.k2_tarski _let_1 (tptp.k4_tarski B C)))))) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.r1_tarski (tptp.k1_tarski A) B) (tptp.r2_hidden A B))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.r1_tarski (tptp.k2_tarski A B) C) (and (tptp.r2_hidden A C) (tptp.r2_hidden B C)))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k1_tarski B))) (= (tptp.r1_tarski A _let_1) (or (= A tptp.k1_xboole_0) (= A _let_1))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.r1_tarski A B) (or (tptp.r2_hidden C A) (tptp.r1_tarski A (tptp.k4_xboole_0 B (tptp.k1_tarski C)))))) (forall ((A $$unsorted) (B $$unsorted)) (not (and (not (= A (tptp.k1_tarski B))) (not (= A tptp.k1_xboole_0)) (forall ((C $$unsorted)) (not (and (tptp.r2_hidden C A) (not (= C B)))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k2_tarski B C))) (= (tptp.r1_tarski A _let_1) (not (and (not (= A tptp.k1_xboole_0)) (not (= A (tptp.k1_tarski B))) (not (= A (tptp.k1_tarski C))) (not (= A _let_1))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k1_tarski A))) (let ((_let_2 (= B _let_1))) (let ((_let_3 (= C _let_1))) (not (and (= _let_1 (tptp.k2_xboole_0 B C)) (not (and _let_2 _let_3)) (not (and (= B tptp.k1_xboole_0) _let_3)) (not (and _let_2 (= C tptp.k1_xboole_0))))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (not (and (= (tptp.k1_tarski A) (tptp.k2_xboole_0 B C)) (not (= B C)) (not (= B tptp.k1_xboole_0)) (not (= C tptp.k1_xboole_0))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.r1_tarski (tptp.k2_xboole_0 (tptp.k1_tarski A) B) B) (tptp.r2_hidden A B))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.r2_hidden A B) (= (tptp.k2_xboole_0 (tptp.k1_tarski A) B) B))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.r1_tarski (tptp.k2_xboole_0 (tptp.k2_tarski A B) C) C) (tptp.r2_hidden A C))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.r2_hidden A B) (tptp.r2_hidden C B)) (= (tptp.k2_xboole_0 (tptp.k2_tarski A C) B) B))) (forall ((A $$unsorted) (B $$unsorted)) (not (= (tptp.k2_xboole_0 (tptp.k1_tarski A) B) tptp.k1_xboole_0))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (not (= (tptp.k2_xboole_0 (tptp.k2_tarski A B) C) tptp.k1_xboole_0))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k1_tarski B))) (=> (= (tptp.k3_xboole_0 A _let_1) _let_1) (tptp.r2_hidden B A)))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k1_tarski A))) (=> (tptp.r2_hidden A B) (= (tptp.k3_xboole_0 B _let_1) _let_1)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k2_tarski A C))) (=> (and (tptp.r2_hidden A B) (tptp.r2_hidden C B)) (= (tptp.k3_xboole_0 _let_1 B) _let_1)))) (forall ((A $$unsorted) (B $$unsorted)) (not (and (tptp.r1_xboole_0 (tptp.k1_tarski A) B) (tptp.r2_hidden A B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (not (and (tptp.r1_xboole_0 (tptp.k2_tarski A B) C) (tptp.r2_hidden A C)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (not (tptp.r2_hidden A B)) (tptp.r1_xboole_0 (tptp.k1_tarski A) B))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (not (and (not (tptp.r2_hidden A B)) (not (tptp.r2_hidden C B)) (not (tptp.r1_xboole_0 (tptp.k2_tarski A C) B))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k1_tarski A))) (or (tptp.r1_xboole_0 _let_1 B) (= (tptp.k3_xboole_0 _let_1 B) _let_1)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (not (and (= (tptp.k3_xboole_0 (tptp.k2_tarski A B) C) (tptp.k1_tarski A)) (tptp.r2_hidden B C) (not (= A B))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.r2_hidden A B) (or (and (tptp.r2_hidden C B) (not (= A C))) (= (tptp.k3_xboole_0 (tptp.k2_tarski A C) B) (tptp.k1_tarski A))))) true true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k2_tarski A B))) (=> (= (tptp.k3_xboole_0 _let_1 C) _let_1) (tptp.r2_hidden A C)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.r2_hidden A (tptp.k4_xboole_0 B (tptp.k1_tarski C))) (and (tptp.r2_hidden A B) (not (= A C))))) (forall ((A $$unsorted) (B $$unsorted)) (= (= (tptp.k4_xboole_0 A (tptp.k1_tarski B)) A) (not (tptp.r2_hidden B A)))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k1_tarski B))) (not (and (= (tptp.k4_xboole_0 A _let_1) tptp.k1_xboole_0) (not (= A tptp.k1_xboole_0)) (not (= A _let_1)))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k1_tarski A))) (= (= (tptp.k4_xboole_0 _let_1 B) _let_1) (not (tptp.r2_hidden A B))))) (forall ((A $$unsorted) (B $$unsorted)) (= (= (tptp.k4_xboole_0 (tptp.k1_tarski A) B) tptp.k1_xboole_0) (tptp.r2_hidden A B))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k1_tarski A))) (let ((_let_2 (tptp.k4_xboole_0 _let_1 B))) (or (= _let_2 tptp.k1_xboole_0) (= _let_2 _let_1))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (= (tptp.k4_xboole_0 (tptp.k2_tarski A B) C) (tptp.k1_tarski A)) (and (not (tptp.r2_hidden A C)) (or (tptp.r2_hidden B C) (= A B))))) true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k2_tarski A B))) (= (= (tptp.k4_xboole_0 _let_1 C) _let_1) (and (not (tptp.r2_hidden A C)) (not (tptp.r2_hidden B C)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (= (tptp.k4_xboole_0 (tptp.k2_tarski A B) C) tptp.k1_xboole_0) (and (tptp.r2_hidden A C) (tptp.r2_hidden B C)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k2_tarski A B))) (let ((_let_2 (tptp.k4_xboole_0 _let_1 C))) (not (and (not (= _let_2 tptp.k1_xboole_0)) (not (= _let_2 (tptp.k1_tarski A))) (not (= _let_2 (tptp.k1_tarski B))) (not (= _let_2 _let_1))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k2_tarski B C))) (= (= (tptp.k4_xboole_0 A _let_1) tptp.k1_xboole_0) (not (and (not (= A tptp.k1_xboole_0)) (not (= A (tptp.k1_tarski B))) (not (= A (tptp.k1_tarski C))) (not (= A _let_1))))))) true true true (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.r1_tarski A B) (tptp.r1_tarski (tptp.k1_zfmisc_1 A) (tptp.k1_zfmisc_1 B)))) (forall ((A $$unsorted)) (tptp.r1_tarski (tptp.k1_tarski A) (tptp.k1_zfmisc_1 A))) (forall ((A $$unsorted) (B $$unsorted)) (tptp.r1_tarski (tptp.k2_xboole_0 (tptp.k1_zfmisc_1 A) (tptp.k1_zfmisc_1 B)) (tptp.k1_zfmisc_1 (tptp.k2_xboole_0 A B)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (= (tptp.k2_xboole_0 (tptp.k1_zfmisc_1 A) (tptp.k1_zfmisc_1 B)) (tptp.k1_zfmisc_1 (tptp.k2_xboole_0 A B))) (tptp.r3_xboole_0 A B))) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.k1_zfmisc_1 (tptp.k3_xboole_0 A B)) (tptp.k3_xboole_0 (tptp.k1_zfmisc_1 A) (tptp.k1_zfmisc_1 B)))) (forall ((A $$unsorted) (B $$unsorted)) (tptp.r1_tarski (tptp.k1_zfmisc_1 (tptp.k4_xboole_0 A B)) (tptp.k2_xboole_0 (tptp.k1_tarski tptp.k1_xboole_0) (tptp.k4_xboole_0 (tptp.k1_zfmisc_1 A) (tptp.k1_zfmisc_1 B))))) true (forall ((A $$unsorted) (B $$unsorted)) (tptp.r1_tarski (tptp.k2_xboole_0 (tptp.k1_zfmisc_1 (tptp.k4_xboole_0 A B)) (tptp.k1_zfmisc_1 (tptp.k4_xboole_0 B A))) (tptp.k1_zfmisc_1 (tptp.k5_xboole_0 A B)))) true true true true true (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.r2_hidden A B) (tptp.r1_tarski A (tptp.k3_tarski B)))) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.k3_tarski (tptp.k2_tarski A B)) (tptp.k2_xboole_0 A B))) (forall ((A $$unsorted) (B $$unsorted)) (=> (forall ((C $$unsorted)) (=> (tptp.r2_hidden C A) (tptp.r1_tarski C B))) (tptp.r1_tarski (tptp.k3_tarski A) B))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.r1_tarski A B) (tptp.r1_tarski (tptp.k3_tarski A) (tptp.k3_tarski B)))) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.k3_tarski (tptp.k2_xboole_0 A B)) (tptp.k2_xboole_0 (tptp.k3_tarski A) (tptp.k3_tarski B)))) (forall ((A $$unsorted) (B $$unsorted)) (tptp.r1_tarski (tptp.k3_tarski (tptp.k3_xboole_0 A B)) (tptp.k3_xboole_0 (tptp.k3_tarski A) (tptp.k3_tarski B)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (forall ((C $$unsorted)) (=> (tptp.r2_hidden C A) (tptp.r1_xboole_0 C B))) (tptp.r1_xboole_0 (tptp.k3_tarski A) B))) (forall ((A $$unsorted)) (= (tptp.k3_tarski (tptp.k1_zfmisc_1 A)) A)) (forall ((A $$unsorted)) (tptp.r1_tarski A (tptp.k1_zfmisc_1 (tptp.k3_tarski A)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (forall ((C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k2_xboole_0 A B))) (=> (and (tptp.r2_hidden C _let_1) (tptp.r2_hidden D _let_1)) (or (= C D) (tptp.r1_xboole_0 C D))))) (= (tptp.k3_tarski (tptp.k3_xboole_0 A B)) (tptp.k3_xboole_0 (tptp.k3_tarski A) (tptp.k3_tarski B))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (not (and (tptp.r2_hidden A (tptp.k2_zfmisc_1 B C)) (forall ((D $$unsorted) (E $$unsorted)) (not (= (tptp.k4_tarski D E) A)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (not (and (tptp.r1_tarski A (tptp.k2_zfmisc_1 B C)) (tptp.r2_hidden D A) (forall ((E $$unsorted) (F $$unsorted)) (not (and (tptp.r2_hidden E B) (tptp.r2_hidden F C) (= D (tptp.k4_tarski E F)))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (not (and (tptp.r2_hidden A (tptp.k3_xboole_0 (tptp.k2_zfmisc_1 B C) (tptp.k2_zfmisc_1 D E))) (forall ((F $$unsorted) (G $$unsorted)) (not (and (= A (tptp.k4_tarski F G)) (tptp.r2_hidden F (tptp.k3_xboole_0 B D)) (tptp.r2_hidden G (tptp.k3_xboole_0 C E)))))))) (forall ((A $$unsorted) (B $$unsorted)) (tptp.r1_tarski (tptp.k2_zfmisc_1 A B) (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 (tptp.k2_xboole_0 A B))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (= (tptp.r2_hidden (tptp.k4_tarski A B) (tptp.k2_zfmisc_1 C D)) (and (tptp.r2_hidden A C) (tptp.r2_hidden B D)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (tptp.r2_hidden (tptp.k4_tarski A B) (tptp.k2_zfmisc_1 C D)) (tptp.r2_hidden (tptp.k4_tarski B A) (tptp.k2_zfmisc_1 D C)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (forall ((E $$unsorted) (F $$unsorted)) (let ((_let_1 (tptp.k4_tarski E F))) (= (tptp.r2_hidden _let_1 (tptp.k2_zfmisc_1 A B)) (tptp.r2_hidden _let_1 (tptp.k2_zfmisc_1 C D))))) (= (tptp.k2_zfmisc_1 A B) (tptp.k2_zfmisc_1 C D)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.r1_tarski A (tptp.k2_zfmisc_1 B C)) (forall ((E $$unsorted) (F $$unsorted)) (let ((_let_1 (tptp.k4_tarski E F))) (=> (tptp.r2_hidden _let_1 A) (tptp.r2_hidden _let_1 D))))) (tptp.r1_tarski A D))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted)) (=> (and (tptp.r1_tarski A (tptp.k2_zfmisc_1 B C)) (tptp.r1_tarski D (tptp.k2_zfmisc_1 E F)) (forall ((G $$unsorted) (H $$unsorted)) (let ((_let_1 (tptp.k4_tarski G H))) (= (tptp.r2_hidden _let_1 A) (tptp.r2_hidden _let_1 D))))) (= A D))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (forall ((C $$unsorted)) (not (and (tptp.r2_hidden C A) (forall ((D $$unsorted) (E $$unsorted)) (not (= C (tptp.k4_tarski D E))))))) (forall ((C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k4_tarski C D))) (=> (tptp.r2_hidden _let_1 A) (tptp.r2_hidden _let_1 B))))) (tptp.r1_tarski A B))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (forall ((C $$unsorted)) (not (and (tptp.r2_hidden C A) (forall ((D $$unsorted) (E $$unsorted)) (not (= C (tptp.k4_tarski D E))))))) (forall ((C $$unsorted)) (not (and (tptp.r2_hidden C B) (forall ((D $$unsorted) (E $$unsorted)) (not (= C (tptp.k4_tarski D E))))))) (forall ((C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k4_tarski C D))) (= (tptp.r2_hidden _let_1 A) (tptp.r2_hidden _let_1 B))))) (= A B))) (forall ((A $$unsorted) (B $$unsorted)) (= (= (tptp.k2_zfmisc_1 A B) tptp.k1_xboole_0) (or (= A tptp.k1_xboole_0) (= B tptp.k1_xboole_0)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (= (tptp.k2_zfmisc_1 A B) (tptp.k2_zfmisc_1 B A)) (or (= A tptp.k1_xboole_0) (= B tptp.k1_xboole_0) (= A B)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (= (tptp.k2_zfmisc_1 A A) (tptp.k2_zfmisc_1 B B)) (= A B))) (forall ((A $$unsorted)) (=> (tptp.r1_tarski A (tptp.k2_zfmisc_1 A A)) (= A tptp.k1_xboole_0))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (not (and (not (= A tptp.k1_xboole_0)) (or (tptp.r1_tarski (tptp.k2_zfmisc_1 B A) (tptp.k2_zfmisc_1 C A)) (tptp.r1_tarski (tptp.k2_zfmisc_1 A B) (tptp.k2_zfmisc_1 A C))) (not (tptp.r1_tarski B C))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.r1_tarski A B) (and (tptp.r1_tarski (tptp.k2_zfmisc_1 A C) (tptp.k2_zfmisc_1 B C)) (tptp.r1_tarski (tptp.k2_zfmisc_1 C A) (tptp.k2_zfmisc_1 C B))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.r1_tarski A B) (tptp.r1_tarski C D)) (tptp.r1_tarski (tptp.k2_zfmisc_1 A C) (tptp.k2_zfmisc_1 B D)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k2_xboole_0 A B))) (and (= (tptp.k2_zfmisc_1 _let_1 C) (tptp.k2_xboole_0 (tptp.k2_zfmisc_1 A C) (tptp.k2_zfmisc_1 B C))) (= (tptp.k2_zfmisc_1 C _let_1) (tptp.k2_xboole_0 (tptp.k2_zfmisc_1 C A) (tptp.k2_zfmisc_1 C B)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (= (tptp.k2_zfmisc_1 (tptp.k2_xboole_0 A B) (tptp.k2_xboole_0 C D)) (tptp.k2_xboole_0 (tptp.k2_xboole_0 (tptp.k2_xboole_0 (tptp.k2_zfmisc_1 A C) (tptp.k2_zfmisc_1 A D)) (tptp.k2_zfmisc_1 B C)) (tptp.k2_zfmisc_1 B D)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k3_xboole_0 A B))) (and (= (tptp.k2_zfmisc_1 _let_1 C) (tptp.k3_xboole_0 (tptp.k2_zfmisc_1 A C) (tptp.k2_zfmisc_1 B C))) (= (tptp.k2_zfmisc_1 C _let_1) (tptp.k3_xboole_0 (tptp.k2_zfmisc_1 C A) (tptp.k2_zfmisc_1 C B)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (= (tptp.k2_zfmisc_1 (tptp.k3_xboole_0 A B) (tptp.k3_xboole_0 C D)) (tptp.k3_xboole_0 (tptp.k2_zfmisc_1 A C) (tptp.k2_zfmisc_1 B D)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.r1_tarski A B) (tptp.r1_tarski C D)) (= (tptp.k3_xboole_0 (tptp.k2_zfmisc_1 A D) (tptp.k2_zfmisc_1 B C)) (tptp.k2_zfmisc_1 A C)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k4_xboole_0 A B))) (and (= (tptp.k2_zfmisc_1 _let_1 C) (tptp.k4_xboole_0 (tptp.k2_zfmisc_1 A C) (tptp.k2_zfmisc_1 B C))) (= (tptp.k2_zfmisc_1 C _let_1) (tptp.k4_xboole_0 (tptp.k2_zfmisc_1 C A) (tptp.k2_zfmisc_1 C B)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (= (tptp.k4_xboole_0 (tptp.k2_zfmisc_1 A B) (tptp.k2_zfmisc_1 C D)) (tptp.k2_xboole_0 (tptp.k2_zfmisc_1 (tptp.k4_xboole_0 A C) B) (tptp.k2_zfmisc_1 A (tptp.k4_xboole_0 B D))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (or (tptp.r1_xboole_0 A B) (tptp.r1_xboole_0 C D)) (tptp.r1_xboole_0 (tptp.k2_zfmisc_1 A C) (tptp.k2_zfmisc_1 B D)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (= (tptp.r2_hidden (tptp.k4_tarski A B) (tptp.k2_zfmisc_1 (tptp.k1_tarski C) D)) (and (= A C) (tptp.r2_hidden B D)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (= (tptp.r2_hidden (tptp.k4_tarski A B) (tptp.k2_zfmisc_1 C (tptp.k1_tarski D))) (and (tptp.r2_hidden A C) (= B D)))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k1_tarski B))) (=> (not (= A tptp.k1_xboole_0)) (and (not (= (tptp.k2_zfmisc_1 _let_1 A) tptp.k1_xboole_0)) (not (= (tptp.k2_zfmisc_1 A _let_1) tptp.k1_xboole_0)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k1_tarski B))) (let ((_let_2 (tptp.k1_tarski A))) (=> (not (= A B)) (and (tptp.r1_xboole_0 (tptp.k2_zfmisc_1 _let_2 C) (tptp.k2_zfmisc_1 _let_1 D)) (tptp.r1_xboole_0 (tptp.k2_zfmisc_1 C _let_2) (tptp.k2_zfmisc_1 D _let_1))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k1_tarski B))) (let ((_let_2 (tptp.k1_tarski A))) (let ((_let_3 (tptp.k2_tarski A B))) (and (= (tptp.k2_zfmisc_1 _let_3 C) (tptp.k2_xboole_0 (tptp.k2_zfmisc_1 _let_2 C) (tptp.k2_zfmisc_1 _let_1 C))) (= (tptp.k2_zfmisc_1 C _let_3) (tptp.k2_xboole_0 (tptp.k2_zfmisc_1 C _let_2) (tptp.k2_zfmisc_1 C _let_1)))))))) true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (= (tptp.k2_zfmisc_1 A B) (tptp.k2_zfmisc_1 C D)) (or (= A tptp.k1_xboole_0) (= B tptp.k1_xboole_0) (and (= A C) (= B D))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (or (tptp.r1_tarski A (tptp.k2_zfmisc_1 A B)) (tptp.r1_tarski A (tptp.k2_zfmisc_1 B A))) (= A tptp.k1_xboole_0))) (forall ((A $$unsorted)) (exists ((B $$unsorted)) (and (tptp.r2_hidden A B) (forall ((C $$unsorted) (D $$unsorted)) (=> (and (tptp.r2_hidden C B) (tptp.r1_tarski D C)) (tptp.r2_hidden D B))) (forall ((C $$unsorted)) (=> (tptp.r2_hidden C B) (tptp.r2_hidden (tptp.k1_zfmisc_1 C) B))) (forall ((C $$unsorted)) (not (and (tptp.r1_tarski C B) (not (tptp.r2_tarski C B)) (not (tptp.r2_hidden C B)))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (=> (and (tptp.r2_hidden A (tptp.k2_zfmisc_1 B C)) (tptp.r2_hidden A (tptp.k2_zfmisc_1 D E))) (tptp.r2_hidden A (tptp.k2_zfmisc_1 (tptp.k3_xboole_0 B D) (tptp.k3_xboole_0 C E))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A B))) (=> (tptp.r1_tarski _let_1 (tptp.k2_zfmisc_1 C D)) (or (= _let_1 tptp.k1_xboole_0) (and (tptp.r1_tarski A C) (tptp.r1_tarski B D)))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (or (tptp.r1_tarski (tptp.k2_zfmisc_1 A B) (tptp.k2_zfmisc_1 C D)) (tptp.r1_tarski (tptp.k2_zfmisc_1 B A) (tptp.k2_zfmisc_1 D C))) (tptp.r1_tarski B D))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k1_tarski A))) (=> (tptp.r2_hidden A B) (= (tptp.k2_xboole_0 (tptp.k4_xboole_0 B _let_1) _let_1) B)))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k1_tarski A))) (=> (not (tptp.r2_hidden A B)) (= (tptp.k4_xboole_0 (tptp.k2_xboole_0 B _let_1) _let_1) B)))) true true true true (forall ((A $$unsorted)) (not (tptp.v1_xboole_0 (tptp.k1_zfmisc_1 A)))) (forall ((A $$unsorted)) (not (tptp.v1_xboole_0 (tptp.k1_tarski A)))) (forall ((A $$unsorted) (B $$unsorted)) (not (tptp.v1_xboole_0 (tptp.k2_tarski A B)))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (exists ((B $$unsorted)) (and (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (not (tptp.v1_xboole_0 B)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (not (tptp.v1_xboole_0 B))) (not (tptp.v1_xboole_0 (tptp.k2_zfmisc_1 A B))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (not (tptp.v1_xboole_0 B)) (not (tptp.v1_xboole_0 C))) (not (tptp.v1_xboole_0 (tptp.k3_zfmisc_1 A B C))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (not (tptp.v1_xboole_0 B)) (not (tptp.v1_xboole_0 C)) (not (tptp.v1_xboole_0 D))) (not (tptp.v1_xboole_0 (tptp.k4_zfmisc_1 A B C D))))) (forall ((A $$unsorted)) (exists ((B $$unsorted)) (and (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (tptp.v1_xboole_0 B)))) true (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.m1_subset_1 B A))) (let ((_let_2 (tptp.v1_xboole_0 A))) (and (=> (not _let_2) (= _let_1 (tptp.r2_hidden B A))) (=> _let_2 (= _let_1 (tptp.v1_xboole_0 B))))))) (forall ((A $$unsorted)) (= (tptp.k1_subset_1 A) tptp.k1_xboole_0)) (forall ((A $$unsorted)) (= (tptp.k2_subset_1 A) A)) true true true (forall ((A $$unsorted)) (tptp.m1_subset_1 tptp.k1_xboole_0 (tptp.k1_zfmisc_1 A))) true true (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 A)) (=> (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D A) (=> (tptp.r2_hidden D B) (tptp.r2_hidden D C)))) (tptp.r1_tarski B C)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 A)) (=> (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D A) (= (tptp.r2_hidden D B) (tptp.r2_hidden D C)))) (= B C)))))) true (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (not (and (not (= B tptp.k1_xboole_0)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C A) (not (tptp.r2_hidden C B)))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (= (tptp.k3_subset_1 A B) (tptp.k4_xboole_0 A B)))) true true true true (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 A)) (=> (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E A) (= (tptp.r2_hidden E B) (or (tptp.r2_hidden E C) (tptp.r2_hidden E D))))) (= B (tptp.k4_subset_1 A C D))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 A)) (=> (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E A) (= (tptp.r2_hidden E B) (and (tptp.r2_hidden E C) (tptp.r2_hidden E D))))) (= B (tptp.k5_subset_1 A C D))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 A)) (=> (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E A) (= (tptp.r2_hidden E B) (and (tptp.r2_hidden E C) (not (tptp.r2_hidden E D)))))) (= B (tptp.k6_subset_1 A C D))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 A)) (=> (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E A) (= (tptp.r2_hidden E B) (not (= (tptp.r2_hidden E C) (tptp.r2_hidden E D)))))) (= B (tptp.k7_subset_1 A C D))))))))) true true (forall ((A $$unsorted)) (= (tptp.k1_subset_1 A) (tptp.k3_subset_1 A (tptp.k2_subset_1 A)))) (forall ((A $$unsorted)) (= (tptp.k2_subset_1 A) (tptp.k3_subset_1 A (tptp.k1_subset_1 A)))) true true (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (= (tptp.k4_subset_1 A B (tptp.k3_subset_1 A B)) (tptp.k2_subset_1 A)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (tptp.r1_xboole_0 B (tptp.k3_subset_1 A B)))) true (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k2_subset_1 A))) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (= (tptp.k4_subset_1 A B _let_1) _let_1)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 A)) (= (tptp.k3_subset_1 A (tptp.k4_subset_1 A B C)) (tptp.k5_subset_1 A (tptp.k3_subset_1 A B) (tptp.k3_subset_1 A C))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 A)) (= (tptp.k3_subset_1 A (tptp.k5_subset_1 A B C)) (tptp.k4_subset_1 A (tptp.k3_subset_1 A B) (tptp.k3_subset_1 A C))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 A)) (= (tptp.r1_tarski B C) (tptp.r1_tarski (tptp.k3_subset_1 A C) (tptp.k3_subset_1 A B))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 A)) (= (tptp.k6_subset_1 A B C) (tptp.k5_subset_1 A B (tptp.k3_subset_1 A C))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 A)) (= (tptp.k3_subset_1 A (tptp.k6_subset_1 A B C)) (tptp.k4_subset_1 A (tptp.k3_subset_1 A B) C)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 A)) (= (tptp.k3_subset_1 A (tptp.k7_subset_1 A B C)) (tptp.k4_subset_1 A (tptp.k5_subset_1 A B C) (tptp.k5_subset_1 A (tptp.k3_subset_1 A B) (tptp.k3_subset_1 A C)))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 A)) (=> (tptp.r1_tarski B (tptp.k3_subset_1 A C)) (tptp.r1_tarski C (tptp.k3_subset_1 A B))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 A)) (=> (tptp.r1_tarski (tptp.k3_subset_1 A B) C) (tptp.r1_tarski (tptp.k3_subset_1 A C) B)))))) true (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (= (tptp.r1_tarski B (tptp.k3_subset_1 A B)) (= B (tptp.k1_subset_1 A))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (= (tptp.r1_tarski (tptp.k3_subset_1 A B) B) (= B (tptp.k2_subset_1 A))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 A)) (=> (and (tptp.r1_tarski B C) (tptp.r1_tarski B (tptp.k3_subset_1 A C))) (= B tptp.k1_xboole_0)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 A)) (tptp.r1_tarski (tptp.k3_subset_1 A (tptp.k4_subset_1 A B C)) (tptp.k3_subset_1 A B)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 A)) (tptp.r1_tarski (tptp.k3_subset_1 A B) (tptp.k3_subset_1 A (tptp.k5_subset_1 A B C))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 A)) (= (tptp.r1_xboole_0 B C) (tptp.r1_tarski B (tptp.k3_subset_1 A C))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 A)) (= (tptp.r1_xboole_0 B (tptp.k3_subset_1 A C)) (tptp.r1_tarski B C)))))) true (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k3_subset_1 A C))) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 A)) (=> (and (tptp.r1_xboole_0 B C) (tptp.r1_xboole_0 (tptp.k3_subset_1 A B) _let_1)) (= B _let_1))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 A)) (=> (and (tptp.r1_tarski B C) (tptp.r1_xboole_0 D C)) (tptp.r1_tarski B (tptp.k3_subset_1 A D))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 A)) (=> (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D B) (tptp.r2_hidden D C))) (tptp.r1_tarski B C)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (=> (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C A) (tptp.r2_hidden C B))) (= A B)))) (forall ((A $$unsorted)) (=> (not (= A tptp.k1_xboole_0)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C A) (=> (not (tptp.r2_hidden C B)) (tptp.r2_hidden C (tptp.k3_subset_1 A B))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 A)) (=> (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D A) (= (tptp.r2_hidden D B) (not (tptp.r2_hidden D C))))) (= B (tptp.k3_subset_1 A C))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 A)) (=> (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D A) (= (not (tptp.r2_hidden D B)) (tptp.r2_hidden D C)))) (= B (tptp.k3_subset_1 A C))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 A)) (=> (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D A) (not (= (tptp.r2_hidden D B) (tptp.r2_hidden D C))))) (= B (tptp.k3_subset_1 A C))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 A)) (not (and (tptp.r2_hidden B (tptp.k3_subset_1 A C)) (tptp.r2_hidden B C))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B A) (=> (not (= A tptp.k1_xboole_0)) (tptp.m1_subset_1 (tptp.k1_tarski B) (tptp.k1_zfmisc_1 A))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C A) (=> (not (= A tptp.k1_xboole_0)) (tptp.m1_subset_1 (tptp.k2_tarski B C) (tptp.k1_zfmisc_1 A))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C A) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D A) (=> (not (= A tptp.k1_xboole_0)) (tptp.m1_subset_1 (tptp.k1_enumset1 B C D) (tptp.k1_zfmisc_1 A))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C A) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D A) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E A) (=> (not (= A tptp.k1_xboole_0)) (tptp.m1_subset_1 (tptp.k2_enumset1 B C D E) (tptp.k1_zfmisc_1 A))))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C A) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D A) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E A) (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F A) (=> (not (= A tptp.k1_xboole_0)) (tptp.m1_subset_1 (tptp.k3_enumset1 B C D E F) (tptp.k1_zfmisc_1 A))))))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C A) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D A) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E A) (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F A) (forall ((G $$unsorted)) (=> (tptp.m1_subset_1 G A) (=> (not (= A tptp.k1_xboole_0)) (tptp.m1_subset_1 (tptp.k4_enumset1 B C D E F G) (tptp.k1_zfmisc_1 A))))))))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C A) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D A) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E A) (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F A) (forall ((G $$unsorted)) (=> (tptp.m1_subset_1 G A) (forall ((H $$unsorted)) (=> (tptp.m1_subset_1 H A) (=> (not (= A tptp.k1_xboole_0)) (tptp.m1_subset_1 (tptp.k5_enumset1 B C D E F G H) (tptp.k1_zfmisc_1 A))))))))))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C A) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D A) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E A) (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F A) (forall ((G $$unsorted)) (=> (tptp.m1_subset_1 G A) (forall ((H $$unsorted)) (=> (tptp.m1_subset_1 H A) (forall ((I $$unsorted)) (=> (tptp.m1_subset_1 I A) (=> (not (= A tptp.k1_xboole_0)) (tptp.m1_subset_1 (tptp.k6_enumset1 B C D E F G H I) (tptp.k1_zfmisc_1 A))))))))))))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.r2_hidden A B) (tptp.m1_subset_1 (tptp.k1_tarski A) (tptp.k1_zfmisc_1 B)))) (forall ((A $$unsorted)) (=> (not true) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B A) (= B (tptp.k8_subset_1 A)))))) (exists ((A $$unsorted)) (and (tptp.m1_subset_1 A (tptp.k1_zfmisc_1 tptp.f1_s1_subset_1)) (forall ((B $$unsorted)) (= (tptp.r2_hidden B A) (and (tptp.r2_hidden B tptp.f1_s1_subset_1) (tptp.p1_s1_subset_1 B)))))) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A (tptp.k1_zfmisc_1 tptp.f1_s2_subset_1)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 tptp.f1_s2_subset_1)) (=> (and (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C tptp.f1_s2_subset_1) (= (tptp.r2_hidden C A) (tptp.p1_s2_subset_1 C)))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C tptp.f1_s2_subset_1) (= (tptp.r2_hidden C B) (tptp.p1_s2_subset_1 C))))) (= A B)))))) (exists ((A $$unsorted)) (and (tptp.m1_subset_1 A (tptp.k1_zfmisc_1 tptp.f1_s3_subset_1)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.f1_s3_subset_1) (= (tptp.r2_hidden B A) (tptp.p1_s3_subset_1 B)))))) (=> (and (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.f1_s4_subset_1) (= (tptp.r2_hidden A tptp.f2_s4_subset_1) (tptp.p1_s4_subset_1 A)))) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.f1_s4_subset_1) (= (tptp.r2_hidden A tptp.f3_s4_subset_1) (tptp.p1_s4_subset_1 A))))) (= tptp.f2_s4_subset_1 tptp.f3_s4_subset_1)) true (forall ((A $$unsorted)) (exists ((B $$unsorted)) (tptp.m1_subset_1 B A))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (not (tptp.v1_xboole_0 B)) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A))) (forall ((C $$unsorted)) (=> (tptp.m2_subset_1 C A B) (tptp.m1_subset_1 C A))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (not (tptp.v1_xboole_0 B)) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A))) (exists ((C $$unsorted)) (tptp.m2_subset_1 C A B)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (not (tptp.v1_xboole_0 B)) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A))) (forall ((C $$unsorted)) (= (tptp.m2_subset_1 C A B) (tptp.m1_subset_1 C B))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (not (tptp.v1_xboole_0 B))) (=> (tptp.r1_subset_1 A B) (tptp.r1_subset_1 B A)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (not (tptp.v1_xboole_0 B))) (not (tptp.r1_subset_1 A A)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (not (tptp.v1_xboole_0 B))) (= (tptp.r1_subset_1 A B) (tptp.r1_xboole_0 A B)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (not (tptp.v1_xboole_0 B))) (=> (tptp.r2_subset_1 A B) (tptp.r2_subset_1 B A)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (not (tptp.v1_xboole_0 B))) (not (tptp.r2_subset_1 A A)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (not (tptp.v1_xboole_0 B))) (= (tptp.r2_subset_1 A B) (tptp.r1_xboole_0 A B)))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k1_subset_1 A))) (and (tptp.v1_xboole_0 _let_1) (tptp.m1_subset_1 _let_1 (tptp.k1_zfmisc_1 A))))) (forall ((A $$unsorted)) (tptp.m1_subset_1 (tptp.k2_subset_1 A) (tptp.k1_zfmisc_1 A))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 A))) (=> (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 (tptp.k3_subset_1 A B) _let_1)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (= (tptp.k3_subset_1 A (tptp.k3_subset_1 A B)) B))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 A))) (=> (and (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (tptp.m1_subset_1 (tptp.k4_subset_1 A B C) _let_1)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 A))) (=> (and (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (= (tptp.k4_subset_1 A B C) (tptp.k4_subset_1 A C B))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 A))) (=> (and (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (= (tptp.k4_subset_1 A B B) B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 A))) (=> (and (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (= (tptp.k4_subset_1 A B C) (tptp.k2_xboole_0 B C))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 A))) (=> (and (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (tptp.m1_subset_1 (tptp.k5_subset_1 A B C) _let_1)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 A))) (=> (and (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (= (tptp.k5_subset_1 A B C) (tptp.k5_subset_1 A C B))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 A))) (=> (and (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (= (tptp.k5_subset_1 A B B) B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 A))) (=> (and (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (= (tptp.k5_subset_1 A B C) (tptp.k3_xboole_0 B C))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 A))) (=> (and (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (tptp.m1_subset_1 (tptp.k6_subset_1 A B C) _let_1)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 A))) (=> (and (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (= (tptp.k6_subset_1 A B C) (tptp.k4_xboole_0 B C))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 A))) (=> (and (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (tptp.m1_subset_1 (tptp.k7_subset_1 A B C) _let_1)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 A))) (=> (and (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (= (tptp.k7_subset_1 A B C) (tptp.k7_subset_1 A C B))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 A))) (=> (and (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (= (tptp.k7_subset_1 A B C) (tptp.k5_xboole_0 B C))))) (forall ((A $$unsorted)) (tptp.m1_subset_1 (tptp.k8_subset_1 A) A)) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_xboole_0 B) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 A)))) (tptp.v1_xboole_0 (tptp.k7_setfam_1 A B)))) (exists ((A $$unsorted)) (and (not (tptp.v1_xboole_0 A)) (tptp.v1_setfam_1 A))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k1_tarski A))) (=> (not (tptp.v1_xboole_0 A)) (and (not (tptp.v1_xboole_0 _let_1)) (tptp.v1_setfam_1 _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k2_tarski A B))) (=> (and (not (tptp.v1_xboole_0 A)) (not (tptp.v1_xboole_0 B))) (and (not (tptp.v1_xboole_0 _let_1)) (tptp.v1_setfam_1 _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_setfam_1 A) (tptp.v1_setfam_1 B)) (tptp.v1_setfam_1 (tptp.k2_xboole_0 A B)))) (forall ((A $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v1_setfam_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B A) (not (tptp.v1_xboole_0 B)))))) (exists ((A $$unsorted)) (not (tptp.v2_setfam_1 A))) (forall ((A $$unsorted)) (=> (not (tptp.v2_setfam_1 A)) (not (tptp.v1_xboole_0 A)))) (forall ((A $$unsorted)) (=> (not (tptp.v2_setfam_1 A)) (exists ((B $$unsorted)) (and (tptp.m1_subset_1 B A) (not (tptp.v1_xboole_0 B)))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (= B (tptp.k1_setfam_1 A)))) (let ((_let_2 (= A tptp.k1_xboole_0))) (and (=> (not _let_2) (= _let_1 (forall ((C $$unsorted)) (= (tptp.r2_hidden C B) (forall ((D $$unsorted)) (=> (tptp.r2_hidden D A) (tptp.r2_hidden C D))))))) (=> _let_2 (= _let_1 (= B tptp.k1_xboole_0))))))) true (= (tptp.k1_setfam_1 tptp.k1_xboole_0) tptp.k1_xboole_0) (forall ((A $$unsorted)) (tptp.r1_tarski (tptp.k1_setfam_1 A) (tptp.k3_tarski A))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.r2_hidden A B) (tptp.r1_tarski (tptp.k1_setfam_1 B) A))) (forall ((A $$unsorted)) (=> (tptp.r2_hidden tptp.k1_xboole_0 A) (= (tptp.k1_setfam_1 A) tptp.k1_xboole_0))) (forall ((A $$unsorted) (B $$unsorted)) (=> (forall ((C $$unsorted)) (=> (tptp.r2_hidden C A) (tptp.r1_tarski B C))) (or (= A tptp.k1_xboole_0) (tptp.r1_tarski B (tptp.k1_setfam_1 A))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.r1_tarski A B) (or (= A tptp.k1_xboole_0) (tptp.r1_tarski (tptp.k1_setfam_1 B) (tptp.k1_setfam_1 A))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.r2_hidden A B) (tptp.r1_tarski A C)) (tptp.r1_tarski (tptp.k1_setfam_1 B) C))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.r2_hidden A B) (tptp.r1_xboole_0 A C)) (tptp.r1_xboole_0 (tptp.k1_setfam_1 B) C))) (forall ((A $$unsorted) (B $$unsorted)) (not (and (not (= A tptp.k1_xboole_0)) (not (= B tptp.k1_xboole_0)) (not (= (tptp.k1_setfam_1 (tptp.k2_xboole_0 A B)) (tptp.k3_xboole_0 (tptp.k1_setfam_1 A) (tptp.k1_setfam_1 B))))))) (forall ((A $$unsorted)) (= (tptp.k1_setfam_1 (tptp.k1_tarski A)) A)) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.k1_setfam_1 (tptp.k2_tarski A B)) (tptp.k3_xboole_0 A B))) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.r1_setfam_1 A B) (forall ((C $$unsorted)) (not (and (tptp.r2_hidden C A) (forall ((D $$unsorted)) (not (and (tptp.r2_hidden D B) (tptp.r1_tarski C D))))))))) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.r2_setfam_1 A B) (forall ((C $$unsorted)) (not (and (tptp.r2_hidden C B) (forall ((D $$unsorted)) (not (and (tptp.r2_hidden D A) (tptp.r1_tarski D C))))))))) true true true true (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.r1_tarski A B) (tptp.r1_setfam_1 A B))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.r1_setfam_1 A B) (tptp.r1_tarski (tptp.k3_tarski A) (tptp.k3_tarski B)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.r2_setfam_1 B A) (or (= A tptp.k1_xboole_0) (tptp.r1_tarski (tptp.k1_setfam_1 B) (tptp.k1_setfam_1 A))))) (forall ((A $$unsorted)) (tptp.r1_setfam_1 tptp.k1_xboole_0 A)) (forall ((A $$unsorted)) (=> (tptp.r1_setfam_1 A tptp.k1_xboole_0) (= A tptp.k1_xboole_0))) true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.r1_setfam_1 A B) (tptp.r1_setfam_1 B C)) (tptp.r1_setfam_1 A C))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.r1_setfam_1 B (tptp.k1_tarski A)) (forall ((C $$unsorted)) (=> (tptp.r2_hidden C B) (tptp.r1_tarski C A))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.r1_setfam_1 C (tptp.k2_tarski A B)) (forall ((D $$unsorted)) (not (and (tptp.r2_hidden D C) (not (tptp.r1_tarski D A)) (not (tptp.r1_tarski D B))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (= C (tptp.k2_setfam_1 A B)) (forall ((D $$unsorted)) (= (tptp.r2_hidden D C) (exists ((E $$unsorted) (F $$unsorted)) (and (tptp.r2_hidden E A) (tptp.r2_hidden F B) (= D (tptp.k2_xboole_0 E F)))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (= C (tptp.k3_setfam_1 A B)) (forall ((D $$unsorted)) (= (tptp.r2_hidden D C) (exists ((E $$unsorted) (F $$unsorted)) (and (tptp.r2_hidden E A) (tptp.r2_hidden F B) (= D (tptp.k3_xboole_0 E F)))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (= C (tptp.k4_setfam_1 A B)) (forall ((D $$unsorted)) (= (tptp.r2_hidden D C) (exists ((E $$unsorted) (F $$unsorted)) (and (tptp.r2_hidden E A) (tptp.r2_hidden F B) (= D (tptp.k4_xboole_0 E F)))))))) true true true (forall ((A $$unsorted)) (tptp.r1_setfam_1 A (tptp.k2_setfam_1 A A))) (forall ((A $$unsorted)) (tptp.r1_setfam_1 (tptp.k3_setfam_1 A A) A)) (forall ((A $$unsorted)) (tptp.r1_setfam_1 (tptp.k4_setfam_1 A A) A)) true true (forall ((A $$unsorted) (B $$unsorted)) (=> (not (tptp.r1_xboole_0 A B)) (= (tptp.k3_xboole_0 (tptp.k1_setfam_1 A) (tptp.k1_setfam_1 B)) (tptp.k1_setfam_1 (tptp.k3_setfam_1 A B))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (not (= B tptp.k1_xboole_0)) (= (tptp.k2_xboole_0 A (tptp.k1_setfam_1 B)) (tptp.k1_setfam_1 (tptp.k2_setfam_1 (tptp.k1_tarski A) B))))) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.k3_xboole_0 A (tptp.k3_tarski B)) (tptp.k3_tarski (tptp.k3_setfam_1 (tptp.k1_tarski A) B)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (not (= B tptp.k1_xboole_0)) (= (tptp.k4_xboole_0 A (tptp.k3_tarski B)) (tptp.k1_setfam_1 (tptp.k4_setfam_1 (tptp.k1_tarski A) B))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (not (= B tptp.k1_xboole_0)) (= (tptp.k4_xboole_0 A (tptp.k1_setfam_1 B)) (tptp.k3_tarski (tptp.k4_setfam_1 (tptp.k1_tarski A) B))))) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.k3_tarski (tptp.k3_setfam_1 A B)) (tptp.k3_xboole_0 (tptp.k3_tarski A) (tptp.k3_tarski B)))) (forall ((A $$unsorted) (B $$unsorted)) (not (and (not (= A tptp.k1_xboole_0)) (not (= B tptp.k1_xboole_0)) (not (tptp.r1_tarski (tptp.k2_xboole_0 (tptp.k1_setfam_1 A) (tptp.k1_setfam_1 B)) (tptp.k1_setfam_1 (tptp.k2_setfam_1 A B))))))) (forall ((A $$unsorted) (B $$unsorted)) (tptp.r1_tarski (tptp.k1_setfam_1 (tptp.k4_setfam_1 A B)) (tptp.k4_xboole_0 (tptp.k1_setfam_1 A) (tptp.k1_setfam_1 B)))) true true (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 A))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 A))) (=> (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 A)) (= (tptp.r2_hidden D B) (tptp.r2_hidden D C)))) (= B C)))))) true (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 A))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 A))) (= (= C (tptp.k7_setfam_1 A B)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 A)) (= (tptp.r2_hidden D C) (tptp.r2_hidden (tptp.k3_subset_1 A D) B))))))))) true (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 A))) (not (and (not (= B tptp.k1_xboole_0)) (= (tptp.k7_setfam_1 A B) tptp.k1_xboole_0))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 A))) (=> (not (= B tptp.k1_xboole_0)) (= (tptp.k6_subset_1 A (tptp.k2_subset_1 A) (tptp.k5_setfam_1 A B)) (tptp.k6_setfam_1 A (tptp.k7_setfam_1 A B)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 A))) (=> (not (= B tptp.k1_xboole_0)) (= (tptp.k5_setfam_1 A (tptp.k7_setfam_1 A B)) (tptp.k6_subset_1 A (tptp.k2_subset_1 A) (tptp.k6_setfam_1 A B)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 A))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 A)) (= (tptp.r2_hidden (tptp.k3_subset_1 A C) (tptp.k7_setfam_1 A B)) (tptp.r2_hidden C B)))))) true (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 A))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 A))) (=> (tptp.r1_tarski (tptp.k7_setfam_1 A B) (tptp.k7_setfam_1 A C)) (tptp.r1_tarski B C)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 A))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 A))) (= (tptp.r1_tarski (tptp.k7_setfam_1 A B) C) (tptp.r1_tarski B (tptp.k7_setfam_1 A C))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 A))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 A))) (=> (= (tptp.k7_setfam_1 A B) (tptp.k7_setfam_1 A C)) (= B C)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 A))) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 A))) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 _let_1)) (= (tptp.k7_setfam_1 A (tptp.k4_subset_1 _let_1 B C)) (tptp.k4_subset_1 _let_1 (tptp.k7_setfam_1 A B) (tptp.k7_setfam_1 A C)))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 A))) (=> (= B (tptp.k1_tarski A)) (= (tptp.k7_setfam_1 A B) (tptp.k1_tarski tptp.k1_xboole_0))))) (forall ((A $$unsorted)) (= (tptp.v1_setfam_1 A) (not (tptp.r2_hidden tptp.k1_xboole_0 A)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.r1_tarski (tptp.k3_tarski A) B) (tptp.r2_hidden C A)) (tptp.r1_tarski C B))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.r1_tarski C (tptp.k3_tarski (tptp.k2_xboole_0 A B))) (forall ((D $$unsorted)) (=> (tptp.r2_hidden D B) (tptp.r1_xboole_0 D C)))) (tptp.r1_tarski C (tptp.k3_tarski A)))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k8_setfam_1 A B))) (let ((_let_2 (= B tptp.k1_xboole_0))) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 A))) (and (=> (not _let_2) (= _let_1 (tptp.k6_setfam_1 A B))) (=> _let_2 (= _let_1 A))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 A))) (=> (tptp.r2_hidden B A) (= (tptp.r2_hidden B (tptp.k8_setfam_1 A C)) (forall ((D $$unsorted)) (=> (tptp.r2_hidden D C) (tptp.r2_hidden B D))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 A))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 A))) (=> (tptp.r1_tarski B C) (tptp.r1_tarski (tptp.k8_setfam_1 A C) (tptp.k8_setfam_1 A B))))))) (forall ((A $$unsorted)) (= (tptp.v2_setfam_1 A) (forall ((B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (not (tptp.r2_hidden B A)))))) (forall ((A $$unsorted) (B $$unsorted)) (tptp.r1_setfam_1 A A)) (forall ((A $$unsorted) (B $$unsorted)) (tptp.r2_setfam_1 B B)) true true (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.k2_setfam_1 A B) (tptp.k2_setfam_1 B A))) true (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.k3_setfam_1 A B) (tptp.k3_setfam_1 B A))) true (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 A))) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 _let_1)) (tptp.m1_subset_1 (tptp.k5_setfam_1 A B) _let_1)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 A))) (= (tptp.k5_setfam_1 A B) (tptp.k3_tarski B)))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 A))) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 _let_1)) (tptp.m1_subset_1 (tptp.k6_setfam_1 A B) _let_1)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 A))) (= (tptp.k6_setfam_1 A B) (tptp.k1_setfam_1 B)))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 A)))) (=> (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 (tptp.k7_setfam_1 A B) _let_1)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 A))) (= (tptp.k7_setfam_1 A (tptp.k7_setfam_1 A B)) B))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 A))) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 _let_1)) (tptp.m1_subset_1 (tptp.k8_setfam_1 A B) _let_1)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.r2_hidden A B) (tptp.m1_subset_1 A B))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 A B) (or (tptp.v1_xboole_0 B) (tptp.r2_hidden A B)))) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.m1_subset_1 A (tptp.k1_zfmisc_1 B)) (tptp.r1_tarski A B))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.r2_hidden A B) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 C))) (tptp.m1_subset_1 A C))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (not (and (tptp.r2_hidden A B) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 C)) (tptp.v1_xboole_0 C)))) (exists ((A $$unsorted)) (and (tptp.v1_xboole_0 A) (tptp.v1_relat_1 A))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_relat_1 B)) (tptp.v1_relat_1 (tptp.k3_xboole_0 A B)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_relat_1 B)) (tptp.v1_relat_1 (tptp.k2_xboole_0 A B)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_relat_1 B)) (tptp.v1_relat_1 (tptp.k4_xboole_0 A B)))) (forall ((A $$unsorted)) (=> (tptp.v1_xboole_0 A) (tptp.v1_relat_1 A))) (and _let_18 _let_15) (exists ((A $$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 $$unsorted)) (let ((_let_1 (tptp.k4_relat_1 A))) (=> (tptp.v1_xboole_0 A) (and (tptp.v1_xboole_0 _let_1) (tptp.v1_relat_1 _let_1))))) (and _let_18 _let_15 _let_17) (exists ((A $$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_24) 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_15 _let_17 _let_14 _let_16 _let_18 (tptp.v1_ordinal1 tptp.k1_xboole_0) (tptp.v2_ordinal1 tptp.k1_xboole_0) _let_25) (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_25 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_24 true true true true true true true true true true true true true (forall ((A $$unsorted)) (let ((_let_1 (tptp.v1_funct_1 A))) (=> (and (tptp.v1_relat_1 A) _let_1) (and _let_1 (tptp.m2_relset_1 A (tptp.k1_relat_1 A) (tptp.k2_relat_1 A)))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.v1_funct_1 B))) (=> (and (tptp.v1_relat_1 B) _let_1) (=> (tptp.r1_tarski (tptp.k2_relat_1 B) A) (and _let_1 (tptp.m2_relset_1 B (tptp.k1_relat_1 B) A)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.m2_relset_1 D A B)) (not (and (tptp.r2_hidden C (tptp.k2_relat_1 D)) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E A) (not (and (tptp.r2_hidden E (tptp.k4_relset_1 A B D)) (= C (tptp.k1_funct_1 D E)))))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.m2_relset_1 D A B)) (=> (tptp.r2_hidden C (tptp.k4_relset_1 A B D)) (tptp.r2_hidden (tptp.k1_funct_1 D C) B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.v1_funct_1 D))) (=> (and _let_1 (tptp.m2_relset_1 D A B)) (=> (tptp.r1_tarski (tptp.k4_relset_1 A B D) C) (and _let_1 (tptp.m2_relset_1 D C B)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.v1_funct_1 D))) (=> (and _let_1 (tptp.m2_relset_1 D A B)) (=> (tptp.r1_tarski (tptp.k2_relat_1 D) C) (and _let_1 (tptp.m2_relset_1 D A C)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.v1_funct_1 D))) (=> (and _let_1 (tptp.m2_relset_1 D A B)) (=> (tptp.r1_tarski A C) (and _let_1 (tptp.m2_relset_1 D C B)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.v1_funct_1 D))) (=> (and _let_1 (tptp.m2_relset_1 D A B)) (=> (tptp.r1_tarski B C) (and _let_1 (tptp.m2_relset_1 D A C)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (let ((_let_1 (tptp.v1_funct_1 E))) (=> (and _let_1 (tptp.m2_relset_1 E A B)) (=> (and (tptp.r1_tarski A C) (tptp.r1_tarski B D)) (and _let_1 (tptp.m2_relset_1 E C D)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (forall ((D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.m2_relset_1 D A B)) (=> (tptp.r1_tarski C D) (and (tptp.v1_funct_1 C) (tptp.m2_relset_1 C A B))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.m2_relset_1 C A B)) (forall ((D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.m2_relset_1 D A B)) (=> (and (= (tptp.k4_relset_1 A B C) (tptp.k4_relset_1 A B D)) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E A) (=> (tptp.r2_hidden E (tptp.k4_relset_1 A B C)) (= (tptp.k1_funct_1 C E) (tptp.k1_funct_1 D E)))))) (= C D)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.m2_relset_1 D (tptp.k2_zfmisc_1 A B) C)) (forall ((E $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A B))) (=> (and (tptp.v1_funct_1 E) (tptp.m2_relset_1 E _let_1 C)) (=> (and (= (tptp.k4_relset_1 _let_1 C D) (tptp.k4_relset_1 _let_1 C E)) (forall ((F $$unsorted) (G $$unsorted)) (let ((_let_1 (tptp.k4_tarski F G))) (=> (tptp.r2_hidden _let_1 (tptp.k4_relset_1 (tptp.k2_zfmisc_1 A B) C D)) (= (tptp.k1_funct_1 D _let_1) (tptp.k1_funct_1 E _let_1)))))) (= D E))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.m2_relset_1 C A B) (= (tptp.k5_relat_1 (tptp.k6_relat_1 A) C) C))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.m2_relset_1 C A B) (= (tptp.k5_relat_1 C (tptp.k6_relat_1 B)) C))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.m2_relset_1 C A B)) (=> (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D A) (forall ((E $$unsorted)) (let ((_let_1 (tptp.k4_relset_1 A B C))) (=> (tptp.m1_subset_1 E A) (=> (and (tptp.r2_hidden D _let_1) (tptp.r2_hidden E _let_1) (= (tptp.k1_funct_1 C D) (tptp.k1_funct_1 C E))) (= D E))))))) (tptp.v2_funct_1 C)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k2_funct_1 C))) (=> (and (tptp.v1_funct_1 C) (tptp.m2_relset_1 C A B)) (=> (tptp.v2_funct_1 C) (and (tptp.v1_funct_1 _let_1) (tptp.m2_relset_1 _let_1 B A)))))) true true true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k8_relset_1 A B D C))) (=> (and (tptp.v1_funct_1 D) (tptp.m2_relset_1 D A B)) (and (tptp.v1_funct_1 _let_1) (tptp.m2_relset_1 _let_1 C B))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k8_relset_1 A B D C))) (=> (and (tptp.v1_funct_1 D) (tptp.m2_relset_1 D A B)) (and (tptp.v1_funct_1 _let_1) (tptp.m2_relset_1 _let_1 A B))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k9_relset_1 A B C D))) (=> (and (tptp.v1_funct_1 D) (tptp.m2_relset_1 D A B)) (and (tptp.v1_funct_1 _let_1) (tptp.m2_relset_1 _let_1 A C))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k9_relset_1 A B C D))) (=> (and (tptp.v1_funct_1 D) (tptp.m2_relset_1 D A B)) (and (tptp.v1_funct_1 _let_1) (tptp.m2_relset_1 _let_1 A B))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k7_relat_1 (tptp.k8_relat_1 A C) B))) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (and (tptp.v1_funct_1 _let_1) (tptp.m2_relset_1 _let_1 B A))))) true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.m2_relset_1 D A B)) (not (and (tptp.r2_hidden C (tptp.k9_relat_1 D A)) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E A) (not (and (tptp.r2_hidden E (tptp.k4_relset_1 A B D)) (= C (tptp.k1_funct_1 D E)))))))))) true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.m2_relset_1 C A B)) (= (tptp.k9_relat_1 C A) (tptp.k2_relat_1 C)))) true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.m2_relset_1 C A B)) (= (tptp.k10_relat_1 C B) (tptp.k4_relset_1 A B C)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_funct_1 B) (tptp.m2_relset_1 B tptp.k1_xboole_0 A)) (and (= (tptp.k4_relset_1 tptp.k1_xboole_0 A B) tptp.k1_xboole_0) (= (tptp.k2_relat_1 B) tptp.k1_xboole_0)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.v1_funct_1 C))) (=> (and (tptp.v1_relat_1 C) _let_1) (=> (= (tptp.k1_relat_1 C) tptp.k1_xboole_0) (and _let_1 (tptp.m2_relset_1 C A B)))))) (forall ((A $$unsorted) (B $$unsorted)) (and (tptp.v1_funct_1 tptp.k1_xboole_0) (tptp.m2_relset_1 tptp.k1_xboole_0 A B))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_funct_1 B) (tptp.m2_relset_1 B tptp.k1_xboole_0 A)) (= B tptp.k1_xboole_0))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.m2_relset_1 C tptp.k1_xboole_0 A)) (forall ((D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.m2_relset_1 D tptp.k1_xboole_0 B)) (= C D))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_funct_1 B) (tptp.m2_relset_1 B tptp.k1_xboole_0 A)) (tptp.v2_funct_1 B))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.m2_relset_1 C tptp.k1_xboole_0 A)) (= (tptp.k9_relat_1 C B) tptp.k1_xboole_0))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.m2_relset_1 C tptp.k1_xboole_0 A)) (= (tptp.k10_relat_1 C B) tptp.k1_xboole_0))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_funct_1 B) (tptp.m2_relset_1 B A tptp.k1_xboole_0)) (and (= (tptp.k4_relset_1 A tptp.k1_xboole_0 B) tptp.k1_xboole_0) (= (tptp.k2_relat_1 B) tptp.k1_xboole_0)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.v1_funct_1 C))) (=> (and (tptp.v1_relat_1 C) _let_1) (=> (= (tptp.k2_relat_1 C) tptp.k1_xboole_0) (and _let_1 (tptp.m2_relset_1 C A B)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_funct_1 B) (tptp.m2_relset_1 B A tptp.k1_xboole_0)) (= B tptp.k1_xboole_0))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.m2_relset_1 C A tptp.k1_xboole_0)) (forall ((D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.m2_relset_1 D B tptp.k1_xboole_0)) (= C D))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_funct_1 B) (tptp.m2_relset_1 B A tptp.k1_xboole_0)) (tptp.v2_funct_1 B))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.m2_relset_1 C A tptp.k1_xboole_0)) (= (tptp.k9_relat_1 C B) tptp.k1_xboole_0))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.m2_relset_1 C A tptp.k1_xboole_0)) (= (tptp.k10_relat_1 C B) tptp.k1_xboole_0))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.m2_relset_1 C (tptp.k1_tarski A) B)) (tptp.r1_tarski (tptp.k2_relat_1 C) (tptp.k1_tarski (tptp.k1_funct_1 C A))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.m2_relset_1 C (tptp.k1_tarski A) B)) (tptp.v2_funct_1 C))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.m2_relset_1 D (tptp.k1_tarski A) B)) (tptp.r1_tarski (tptp.k9_relat_1 D C) (tptp.k1_tarski (tptp.k1_funct_1 D A))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.v1_funct_1 D))) (=> (and (tptp.v1_relat_1 D) _let_1) (=> (and (= (tptp.k1_relat_1 D) (tptp.k1_tarski A)) (tptp.r2_hidden A B) (tptp.r2_hidden (tptp.k1_funct_1 D A) C)) (and _let_1 (tptp.m2_relset_1 D B C)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k1_tarski B))) (=> (and (tptp.v1_funct_1 D) (tptp.m2_relset_1 D A _let_1)) (=> (tptp.r2_hidden C (tptp.k4_relset_1 A _let_1 D)) (= (tptp.k1_funct_1 D C) B))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.m2_relset_1 C A (tptp.k1_tarski B))) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k1_tarski B))) (=> (and (tptp.v1_funct_1 D) (tptp.m2_relset_1 D A _let_1)) (=> (= (tptp.k4_relset_1 A _let_1 C) (tptp.k4_relset_1 A _let_1 D)) (= C D))))))) true true (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted) (C $$unsorted)) (= (tptp.k3_partfun1 A B C) (tptp.k7_relat_1 (tptp.k8_relat_1 C A) B))))) true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (tptp.r1_tarski (tptp.k3_partfun1 C A B) C))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k3_partfun1 C A B))) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (and (tptp.r1_tarski (tptp.k4_relset_1 A B _let_1) (tptp.k1_relat_1 C)) (tptp.r1_tarski (tptp.k2_relat_1 _let_1) (tptp.k2_relat_1 C)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.v1_relat_1 D) (tptp.v1_funct_1 D)) (= (tptp.r2_hidden A (tptp.k4_relset_1 B C (tptp.k3_partfun1 D B C))) (and (tptp.r2_hidden A (tptp.k1_relat_1 D)) (tptp.r2_hidden A B) (tptp.r2_hidden (tptp.k1_funct_1 D A) C))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k1_funct_1 D A))) (=> (and (tptp.v1_relat_1 D) (tptp.v1_funct_1 D)) (=> (and (tptp.r2_hidden A (tptp.k1_relat_1 D)) (tptp.r2_hidden A B) (tptp.r2_hidden _let_1 C)) (= (tptp.k1_funct_1 (tptp.k3_partfun1 D B C) A) _let_1))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k3_partfun1 D B C))) (=> (and (tptp.v1_relat_1 D) (tptp.v1_funct_1 D)) (=> (tptp.r2_hidden A (tptp.k4_relset_1 B C _let_1)) (= (tptp.k1_funct_1 _let_1 A) (tptp.k1_funct_1 D A)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (forall ((D $$unsorted)) (=> (and (tptp.v1_relat_1 D) (tptp.v1_funct_1 D)) (=> (tptp.r1_tarski C D) (tptp.r1_tarski (tptp.k3_partfun1 C A B) (tptp.k3_partfun1 D A B))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.v1_relat_1 D) (tptp.v1_funct_1 D)) (=> (tptp.r1_tarski A B) (tptp.r1_tarski (tptp.k3_partfun1 D A C) (tptp.k3_partfun1 D B C))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.v1_relat_1 D) (tptp.v1_funct_1 D)) (=> (tptp.r1_tarski A B) (tptp.r1_tarski (tptp.k3_partfun1 D C A) (tptp.k3_partfun1 D C B))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (=> (and (tptp.v1_relat_1 E) (tptp.v1_funct_1 E)) (=> (and (tptp.r1_tarski A B) (tptp.r1_tarski C D)) (tptp.r1_tarski (tptp.k3_partfun1 E A C) (tptp.k3_partfun1 E B D))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (=> (and (tptp.r1_tarski (tptp.k1_relat_1 C) A) (tptp.r1_tarski (tptp.k2_relat_1 C) B)) (= C (tptp.k3_partfun1 C A B))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (= A (tptp.k3_partfun1 A (tptp.k1_relat_1 A) (tptp.k2_relat_1 A))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.m2_relset_1 C A B)) (= (tptp.k3_partfun1 C A B) C))) true true true (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.k3_partfun1 tptp.k1_xboole_0 A B) tptp.k1_xboole_0)) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.v1_relat_1 D) (tptp.v1_funct_1 D)) (forall ((E $$unsorted)) (=> (and (tptp.v1_relat_1 E) (tptp.v1_funct_1 E)) (tptp.r1_tarski (tptp.k1_partfun1 C A A B (tptp.k3_partfun1 D C A) (tptp.k3_partfun1 E A B)) (tptp.k3_partfun1 (tptp.k5_relat_1 D E) C B)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.v1_relat_1 D) (tptp.v1_funct_1 D)) (forall ((E $$unsorted)) (=> (and (tptp.v1_relat_1 E) (tptp.v1_funct_1 E)) (=> (tptp.r1_tarski (tptp.k3_xboole_0 (tptp.k2_relat_1 D) (tptp.k1_relat_1 E)) A) (= (tptp.k1_partfun1 C A A B (tptp.k3_partfun1 D C A) (tptp.k3_partfun1 E A B)) (tptp.k3_partfun1 (tptp.k5_relat_1 D E) C B))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (=> (tptp.v2_funct_1 C) (tptp.v2_funct_1 (tptp.k3_partfun1 C A B))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (=> (tptp.v2_funct_1 C) (= (tptp.k2_funct_1 (tptp.k3_partfun1 C A B)) (tptp.k3_partfun1 (tptp.k2_funct_1 C) B A))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.v1_relat_1 D) (tptp.v1_funct_1 D)) (= (tptp.k2_partfun1 A B (tptp.k3_partfun1 D A B) C) (tptp.k3_partfun1 D (tptp.k3_xboole_0 A C) B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.v1_relat_1 D) (tptp.v1_funct_1 D)) (= (tptp.k9_relset_1 B C A (tptp.k3_partfun1 D B C)) (tptp.k3_partfun1 D B (tptp.k3_xboole_0 A C))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.m2_relset_1 C A B) (= (tptp.v1_partfun1 C A B) (= (tptp.k4_relset_1 A B C) A)))) true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.m2_relset_1 C A B)) (=> (and (tptp.v1_partfun1 C A B) (= B tptp.k1_xboole_0)) (= A tptp.k1_xboole_0)))) true true true true true true true true true true true true (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_funct_1 B) (tptp.m2_relset_1 B tptp.k1_xboole_0 A)) (tptp.v1_partfun1 B tptp.k1_xboole_0 A))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (=> (tptp.v1_partfun1 (tptp.k3_partfun1 C A B) A B) (tptp.r1_tarski A (tptp.k1_relat_1 C))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.v1_partfun1 (tptp.k3_partfun1 tptp.k1_xboole_0 A B) A B) (= A tptp.k1_xboole_0))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (=> (and (tptp.r1_tarski A (tptp.k1_relat_1 C)) (tptp.r1_tarski (tptp.k2_relat_1 C) B)) (tptp.v1_partfun1 (tptp.k3_partfun1 C A B) A B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (=> (tptp.v1_partfun1 (tptp.k3_partfun1 C A B) A B) (tptp.r1_tarski (tptp.k9_relat_1 C A) B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (=> (and (tptp.r1_tarski A (tptp.k1_relat_1 C)) (tptp.r1_tarski (tptp.k9_relat_1 C A) B)) (tptp.v1_partfun1 (tptp.k3_partfun1 C A B) A B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (= C (tptp.k4_partfun1 A B)) (forall ((D $$unsorted)) (= (tptp.r2_hidden D C) (exists ((E $$unsorted)) (and (tptp.v1_relat_1 E) (tptp.v1_funct_1 E) (= D E) (tptp.r1_tarski (tptp.k1_relat_1 E) A) (tptp.r1_tarski (tptp.k2_relat_1 E) B))))))) true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.m2_relset_1 C A B)) (tptp.r2_hidden C (tptp.k4_partfun1 A B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.r2_hidden C (tptp.k4_partfun1 A B)) (and (tptp.v1_funct_1 C) (tptp.m2_relset_1 C A B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k4_partfun1 A B)) (and (tptp.v1_funct_1 C) (tptp.m2_relset_1 C A B)))) (forall ((A $$unsorted)) (= (tptp.k4_partfun1 tptp.k1_xboole_0 A) (tptp.k1_tarski tptp.k1_xboole_0))) (forall ((A $$unsorted)) (= (tptp.k4_partfun1 A tptp.k1_xboole_0) (tptp.k1_tarski tptp.k1_xboole_0))) true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.r1_tarski A B) (tptp.r1_tarski (tptp.k4_partfun1 A C) (tptp.k4_partfun1 B C)))) (forall ((A $$unsorted) (B $$unsorted)) (tptp.r1_tarski (tptp.k4_partfun1 tptp.k1_xboole_0 A) (tptp.k4_partfun1 B A))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.r1_tarski A B) (tptp.r1_tarski (tptp.k4_partfun1 C A) (tptp.k4_partfun1 C B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.r1_tarski A B) (tptp.r1_tarski C D)) (tptp.r1_tarski (tptp.k4_partfun1 A C) (tptp.k4_partfun1 B D)))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (= (tptp.r1_partfun1 A B) (forall ((C $$unsorted)) (=> (tptp.r2_hidden C (tptp.k3_xboole_0 (tptp.k1_relat_1 A) (tptp.k1_relat_1 B))) (= (tptp.k1_funct_1 A C) (tptp.k1_funct_1 B C))))))))) true (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (= (tptp.r1_partfun1 A B) (exists ((C $$unsorted)) (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C) (= (tptp.k2_xboole_0 A B) C)))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (= (tptp.r1_partfun1 A B) (exists ((C $$unsorted)) (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C) (tptp.r1_tarski A C) (tptp.r1_tarski B C)))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (=> (tptp.r1_tarski (tptp.k1_relat_1 A) (tptp.k1_relat_1 B)) (= (tptp.r1_partfun1 A B) (forall ((C $$unsorted)) (=> (tptp.r2_hidden C (tptp.k1_relat_1 A)) (= (tptp.k1_funct_1 A C) (tptp.k1_funct_1 B C)))))))))) true true (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (=> (tptp.r1_tarski A B) (tptp.r1_partfun1 A B)))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (=> (and (= (tptp.k1_relat_1 A) (tptp.k1_relat_1 B)) (tptp.r1_partfun1 A B)) (= A B)))))) true (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (=> (tptp.r1_xboole_0 (tptp.k1_relat_1 A) (tptp.k1_relat_1 B)) (tptp.r1_partfun1 A B)))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (forall ((C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (=> (and (tptp.r1_tarski A C) (tptp.r1_tarski B C)) (tptp.r1_partfun1 A B)))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.m2_relset_1 C A B)) (forall ((D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.m2_relset_1 D A B)) (forall ((E $$unsorted)) (=> (and (tptp.v1_relat_1 E) (tptp.v1_funct_1 E)) (=> (and (tptp.r1_partfun1 C E) (tptp.r1_tarski D C)) (tptp.r1_partfun1 D E)))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (tptp.r1_partfun1 tptp.k1_xboole_0 A))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (tptp.r1_partfun1 (tptp.k3_partfun1 tptp.k1_xboole_0 A B) C))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.m2_relset_1 C A (tptp.k1_tarski B))) (forall ((D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.m2_relset_1 D A (tptp.k1_tarski B))) (tptp.r1_partfun1 C D))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (tptp.r1_partfun1 (tptp.k7_relat_1 B A) B))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (tptp.r1_partfun1 (tptp.k8_relat_1 A B) B))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (tptp.r1_partfun1 (tptp.k7_relat_1 (tptp.k8_relat_1 A C) B) C))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (tptp.r1_partfun1 (tptp.k3_partfun1 C A B) C))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.m2_relset_1 C A B)) (forall ((D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.m2_relset_1 D A B)) (=> (and (tptp.v1_partfun1 C A B) (tptp.v1_partfun1 D A B) (tptp.r1_partfun1 C D)) (= C D)))))) true true true true true true true true true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.m2_relset_1 C A B)) (forall ((D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.m2_relset_1 D A B)) (forall ((E $$unsorted)) (=> (and (tptp.v1_funct_1 E) (tptp.m2_relset_1 E A B)) (=> (and (tptp.r1_partfun1 C E) (tptp.r1_partfun1 D E) (tptp.v1_partfun1 E A B)) (tptp.r1_partfun1 C D)))))))) true true true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.m2_relset_1 C A B)) (forall ((D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.m2_relset_1 D A B)) (not (and (=> (= B tptp.k1_xboole_0) (= A tptp.k1_xboole_0)) (tptp.r1_partfun1 C D) (forall ((E $$unsorted)) (=> (and (tptp.v1_funct_1 E) (tptp.m2_relset_1 E A B)) (not (and (tptp.v1_partfun1 E A B) (tptp.r1_partfun1 C E) (tptp.r1_partfun1 D E))))))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.m2_relset_1 C A B)) (forall ((D $$unsorted)) (= (= D (tptp.k5_partfun1 A B C)) (forall ((E $$unsorted)) (= (tptp.r2_hidden E D) (exists ((F $$unsorted)) (and (tptp.v1_funct_1 F) (tptp.m2_relset_1 F A B) (= F E) (tptp.v1_partfun1 F A B) (tptp.r1_partfun1 C F))))))))) true true true true true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.m2_relset_1 C A B)) (forall ((D $$unsorted)) (=> (tptp.r2_hidden D (tptp.k5_partfun1 A B C)) (and (tptp.v1_funct_1 D) (tptp.m2_relset_1 D A B)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.m2_relset_1 C A B)) (forall ((D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.m2_relset_1 D A B)) (=> (tptp.r2_hidden D (tptp.k5_partfun1 A B C)) (tptp.v1_partfun1 D A B)))))) true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.m2_relset_1 C A B)) (forall ((D $$unsorted)) (=> (and (tptp.v1_relat_1 D) (tptp.v1_funct_1 D)) (=> (tptp.r2_hidden D (tptp.k5_partfun1 A B C)) (tptp.r1_partfun1 C D)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_funct_1 B) (tptp.m2_relset_1 B A tptp.k1_xboole_0)) (=> (not (= A tptp.k1_xboole_0)) (= (tptp.k5_partfun1 A tptp.k1_xboole_0 B) tptp.k1_xboole_0)))) true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.m2_relset_1 C A B)) (= (tptp.v1_partfun1 C A B) (= (tptp.k5_partfun1 A B C) (tptp.k1_tarski C))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_funct_1 B) (tptp.m2_relset_1 B tptp.k1_xboole_0 A)) (= (tptp.k5_partfun1 tptp.k1_xboole_0 A B) (tptp.k1_tarski B)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_funct_1 B) (tptp.m2_relset_1 B tptp.k1_xboole_0 A)) (= (tptp.k5_partfun1 tptp.k1_xboole_0 A B) (tptp.k1_tarski tptp.k1_xboole_0)))) true true true true true true true true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.m2_relset_1 C A B)) (forall ((D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.m2_relset_1 D A B)) (=> (not (tptp.r1_xboole_0 (tptp.k5_partfun1 A B C) (tptp.k5_partfun1 A B D))) (tptp.r1_partfun1 C D)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.m2_relset_1 C A B)) (forall ((D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.m2_relset_1 D A B)) (not (and (=> (= B tptp.k1_xboole_0) (= A tptp.k1_xboole_0)) (tptp.r1_partfun1 C D) (tptp.r1_xboole_0 (tptp.k5_partfun1 A B C) (tptp.k5_partfun1 A B D)))))))) (exists ((A $$unsorted)) (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (= (tptp.k1_relat_1 A) tptp.f1_s1_partfun1) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k1_funct_1 A B))) (let ((_let_2 (tptp.p1_s1_partfun1 B))) (=> (tptp.r2_hidden B tptp.f1_s1_partfun1) (and (=> _let_2 (= _let_1 (tptp.f2_s1_partfun1 B))) (=> (not _let_2) (= _let_1 (tptp.f3_s1_partfun1 B)))))))))) (=> (and (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.r2_hidden A tptp.f1_s2_partfun1) (tptp.p1_s2_partfun1 A B)) (tptp.r2_hidden B tptp.f2_s2_partfun1))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.r2_hidden A tptp.f1_s2_partfun1) (tptp.p1_s2_partfun1 A B) (tptp.p1_s2_partfun1 A C)) (= B C)))) (exists ((A $$unsorted)) (and (tptp.v1_funct_1 A) (tptp.m2_relset_1 A tptp.f1_s2_partfun1 tptp.f2_s2_partfun1) (forall ((B $$unsorted)) (= (tptp.r2_hidden B (tptp.k4_relset_1 tptp.f1_s2_partfun1 tptp.f2_s2_partfun1 A)) (and (tptp.r2_hidden B tptp.f1_s2_partfun1) (exists ((C $$unsorted)) (tptp.p1_s2_partfun1 B C))))) (forall ((B $$unsorted)) (=> (tptp.r2_hidden B (tptp.k4_relset_1 tptp.f1_s2_partfun1 tptp.f2_s2_partfun1 A)) (tptp.p1_s2_partfun1 B (tptp.k1_funct_1 A B))))))) (=> (forall ((A $$unsorted)) (=> (tptp.p1_s3_partfun1 A) (tptp.r2_hidden (tptp.f3_s3_partfun1 A) tptp.f2_s3_partfun1))) (exists ((A $$unsorted)) (and (tptp.v1_funct_1 A) (tptp.m2_relset_1 A tptp.f1_s3_partfun1 tptp.f2_s3_partfun1) (forall ((B $$unsorted)) (= (tptp.r2_hidden B (tptp.k4_relset_1 tptp.f1_s3_partfun1 tptp.f2_s3_partfun1 A)) (and (tptp.r2_hidden B tptp.f1_s3_partfun1) (tptp.p1_s3_partfun1 B)))) (forall ((B $$unsorted)) (=> (tptp.r2_hidden B (tptp.k4_relset_1 tptp.f1_s3_partfun1 tptp.f2_s3_partfun1 A)) (= (tptp.k1_funct_1 A B) (tptp.f3_s3_partfun1 B))))))) (=> (and (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.r2_hidden A tptp.f1_s4_partfun1) (tptp.r2_hidden B tptp.f2_s4_partfun1) (tptp.p1_s4_partfun1 A B C)) (tptp.r2_hidden C tptp.f3_s4_partfun1))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.r2_hidden A tptp.f1_s4_partfun1) (tptp.r2_hidden B tptp.f2_s4_partfun1) (tptp.p1_s4_partfun1 A B C) (tptp.p1_s4_partfun1 A B D)) (= C D)))) (exists ((A $$unsorted)) (and (tptp.v1_funct_1 A) (tptp.m2_relset_1 A (tptp.k2_zfmisc_1 tptp.f1_s4_partfun1 tptp.f2_s4_partfun1) tptp.f3_s4_partfun1) (forall ((B $$unsorted) (C $$unsorted)) (= (tptp.r2_hidden (tptp.k4_tarski B C) (tptp.k4_relset_1 (tptp.k2_zfmisc_1 tptp.f1_s4_partfun1 tptp.f2_s4_partfun1) tptp.f3_s4_partfun1 A)) (and (tptp.r2_hidden B tptp.f1_s4_partfun1) (tptp.r2_hidden C tptp.f2_s4_partfun1) (exists ((D $$unsorted)) (tptp.p1_s4_partfun1 B C D))))) (forall ((B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k4_tarski B C))) (=> (tptp.r2_hidden _let_1 (tptp.k4_relset_1 (tptp.k2_zfmisc_1 tptp.f1_s4_partfun1 tptp.f2_s4_partfun1) tptp.f3_s4_partfun1 A)) (tptp.p1_s4_partfun1 B C (tptp.k1_funct_1 A _let_1)))))))) (=> (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.p1_s5_partfun1 A B) (tptp.r2_hidden (tptp.f4_s5_partfun1 A B) tptp.f3_s5_partfun1))) (exists ((A $$unsorted)) (and (tptp.v1_funct_1 A) (tptp.m2_relset_1 A (tptp.k2_zfmisc_1 tptp.f1_s5_partfun1 tptp.f2_s5_partfun1) tptp.f3_s5_partfun1) (forall ((B $$unsorted) (C $$unsorted)) (= (tptp.r2_hidden (tptp.k4_tarski B C) (tptp.k4_relset_1 (tptp.k2_zfmisc_1 tptp.f1_s5_partfun1 tptp.f2_s5_partfun1) tptp.f3_s5_partfun1 A)) (and (tptp.r2_hidden B tptp.f1_s5_partfun1) (tptp.r2_hidden C tptp.f2_s5_partfun1) (tptp.p1_s5_partfun1 B C)))) (forall ((B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k4_tarski B C))) (=> (tptp.r2_hidden _let_1 (tptp.k4_relset_1 (tptp.k2_zfmisc_1 tptp.f1_s5_partfun1 tptp.f2_s5_partfun1) tptp.f3_s5_partfun1 A)) (= (tptp.k1_funct_1 A _let_1) (tptp.f4_s5_partfun1 B C)))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (=> (tptp.r1_partfun1 A B) (tptp.r1_partfun1 B A)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (tptp.r1_partfun1 A A))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted)) (let ((_let_1 (tptp.k1_partfun1 A B C D E F))) (=> (and (tptp.v1_funct_1 E) (tptp.m1_relset_1 E A B) (tptp.v1_funct_1 F) (tptp.m1_relset_1 F C D)) (and (tptp.v1_funct_1 _let_1) (tptp.m2_relset_1 _let_1 A D))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted)) (=> (and (tptp.v1_funct_1 E) (tptp.m1_relset_1 E A B) (tptp.v1_funct_1 F) (tptp.m1_relset_1 F C D)) (= (tptp.k1_partfun1 A B C D E F) (tptp.k5_relat_1 E F)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k2_partfun1 A B C D))) (=> (and (tptp.v1_funct_1 C) (tptp.m1_relset_1 C A B)) (and (tptp.v1_funct_1 _let_1) (tptp.m2_relset_1 _let_1 A B))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.m1_relset_1 C A B)) (= (tptp.k2_partfun1 A B C D) (tptp.k7_relat_1 C D)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k3_partfun1 A B C))) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (and (tptp.v1_funct_1 _let_1) (tptp.m2_relset_1 _let_1 B C))))) true true (forall ((A $$unsorted)) (let ((_let_1 (tptp.k6_partfun1 A))) (and (tptp.v1_partfun1 _let_1 A A) (tptp.m2_relset_1 _let_1 A A)))) (forall ((A $$unsorted)) (= (tptp.k6_partfun1 A) (tptp.k6_relat_1 A))) (forall ((A $$unsorted)) (not (and (not (= A tptp.k1_xboole_0)) (forall ((B $$unsorted)) (not (and (tptp.r2_hidden B A) (tptp.r1_xboole_0 B A))))))) (forall ((A $$unsorted)) (not (and (not (= A tptp.k1_xboole_0)) (forall ((B $$unsorted)) (not (and (tptp.r2_hidden B A) (forall ((C $$unsorted)) (=> (tptp.r2_hidden C B) (tptp.r1_xboole_0 C A))))))))) (forall ((A $$unsorted)) (not (and (not (= A tptp.k1_xboole_0)) (forall ((B $$unsorted)) (not (and (tptp.r2_hidden B A) (forall ((C $$unsorted) (D $$unsorted)) (=> (and (tptp.r2_hidden C D) (tptp.r2_hidden D B)) (tptp.r1_xboole_0 C A))))))))) (forall ((A $$unsorted)) (not (and (not (= A tptp.k1_xboole_0)) (forall ((B $$unsorted)) (not (and (tptp.r2_hidden B A) (forall ((C $$unsorted) (D $$unsorted) (E $$unsorted)) (=> (and (tptp.r2_hidden C D) (tptp.r2_hidden D E) (tptp.r2_hidden E B)) (tptp.r1_xboole_0 C A))))))))) (forall ((A $$unsorted)) (not (and (not (= A tptp.k1_xboole_0)) (forall ((B $$unsorted)) (not (and (tptp.r2_hidden B A) (forall ((C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted)) (=> (and (tptp.r2_hidden C D) (tptp.r2_hidden D E) (tptp.r2_hidden E F) (tptp.r2_hidden F B)) (tptp.r1_xboole_0 C A))))))))) (forall ((A $$unsorted)) (not (and (not (= A tptp.k1_xboole_0)) (forall ((B $$unsorted)) (not (and (tptp.r2_hidden B A) (forall ((C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted) (G $$unsorted)) (=> (and (tptp.r2_hidden C D) (tptp.r2_hidden D E) (tptp.r2_hidden E F) (tptp.r2_hidden F G) (tptp.r2_hidden G B)) (tptp.r1_xboole_0 C A))))))))) (forall ((A $$unsorted)) (=> (exists ((B $$unsorted) (C $$unsorted)) (= A (tptp.k4_tarski B C))) (forall ((B $$unsorted)) (= (= B (tptp.k1_mcart_1 A)) (forall ((C $$unsorted) (D $$unsorted)) (=> (= A (tptp.k4_tarski C D)) (= B C))))))) (forall ((A $$unsorted)) (=> (exists ((B $$unsorted) (C $$unsorted)) (= A (tptp.k4_tarski B C))) (forall ((B $$unsorted)) (= (= B (tptp.k2_mcart_1 A)) (forall ((C $$unsorted) (D $$unsorted)) (=> (= A (tptp.k4_tarski C D)) (= B D))))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k4_tarski A B))) (and (= (tptp.k1_mcart_1 _let_1) A) (= (tptp.k2_mcart_1 _let_1) B)))) (forall ((A $$unsorted)) (=> (exists ((B $$unsorted) (C $$unsorted)) (= A (tptp.k4_tarski B C))) (= (tptp.k4_tarski (tptp.k1_mcart_1 A) (tptp.k2_mcart_1 A)) A))) (forall ((A $$unsorted)) (not (and (not (= A tptp.k1_xboole_0)) (forall ((B $$unsorted)) (not (and (tptp.r2_hidden B A) (forall ((C $$unsorted) (D $$unsorted)) (not (and (or (tptp.r2_hidden C A) (tptp.r2_hidden D A)) (= B (tptp.k4_tarski C D))))))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.r2_hidden A (tptp.k2_zfmisc_1 B C)) (and (tptp.r2_hidden (tptp.k1_mcart_1 A) B) (tptp.r2_hidden (tptp.k2_mcart_1 A) C)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.r2_hidden (tptp.k1_mcart_1 A) B) (tptp.r2_hidden (tptp.k2_mcart_1 A) C)) (or (forall ((D $$unsorted) (E $$unsorted)) (not (= A (tptp.k4_tarski D E)))) (tptp.r2_hidden A (tptp.k2_zfmisc_1 B C))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.r2_hidden A (tptp.k2_zfmisc_1 (tptp.k1_tarski B) C)) (and (= (tptp.k1_mcart_1 A) B) (tptp.r2_hidden (tptp.k2_mcart_1 A) C)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.r2_hidden A (tptp.k2_zfmisc_1 B (tptp.k1_tarski C))) (and (tptp.r2_hidden (tptp.k1_mcart_1 A) B) (= (tptp.k2_mcart_1 A) C)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.r2_hidden A (tptp.k2_zfmisc_1 (tptp.k1_tarski B) (tptp.k1_tarski C))) (and (= (tptp.k1_mcart_1 A) B) (= (tptp.k2_mcart_1 A) C)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k1_mcart_1 A))) (=> (tptp.r2_hidden A (tptp.k2_zfmisc_1 (tptp.k2_tarski B C) D)) (and (or (= _let_1 B) (= _let_1 C)) (tptp.r2_hidden (tptp.k2_mcart_1 A) D))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k2_mcart_1 A))) (=> (tptp.r2_hidden A (tptp.k2_zfmisc_1 B (tptp.k2_tarski C D))) (and (tptp.r2_hidden (tptp.k1_mcart_1 A) B) (or (= _let_1 C) (= _let_1 D)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k1_mcart_1 A))) (=> (tptp.r2_hidden A (tptp.k2_zfmisc_1 (tptp.k2_tarski B C) (tptp.k1_tarski D))) (and (or (= _let_1 B) (= _let_1 C)) (= (tptp.k2_mcart_1 A) D))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k2_mcart_1 A))) (=> (tptp.r2_hidden A (tptp.k2_zfmisc_1 (tptp.k1_tarski B) (tptp.k2_tarski C D))) (and (= (tptp.k1_mcart_1 A) B) (or (= _let_1 C) (= _let_1 D)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (let ((_let_1 (tptp.k2_mcart_1 A))) (let ((_let_2 (tptp.k1_mcart_1 A))) (=> (tptp.r2_hidden A (tptp.k2_zfmisc_1 (tptp.k2_tarski B C) (tptp.k2_tarski D E))) (and (or (= _let_2 B) (= _let_2 C)) (or (= _let_1 D) (= _let_1 E))))))) (forall ((A $$unsorted)) (=> (exists ((B $$unsorted) (C $$unsorted)) (= A (tptp.k4_tarski B C))) (and (not (= A (tptp.k1_mcart_1 A))) (not (= A (tptp.k2_mcart_1 A)))))) true true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.r2_hidden A (tptp.k2_zfmisc_1 B C)) (= A (tptp.k4_tarski (tptp.k1_mcart_1 A) (tptp.k2_mcart_1 A))))) (forall ((A $$unsorted) (B $$unsorted)) (not (and (not (= A tptp.k1_xboole_0)) (not (= B tptp.k1_xboole_0)) (not (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k2_zfmisc_1 A B)) (= C (tptp.k4_tarski (tptp.k1_mcart_1 C) (tptp.k2_mcart_1 C))))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (= (tptp.k2_zfmisc_1 (tptp.k2_tarski A B) (tptp.k2_tarski C D)) (tptp.k2_enumset1 (tptp.k4_tarski A C) (tptp.k4_tarski A D) (tptp.k4_tarski B C) (tptp.k4_tarski B D)))) (forall ((A $$unsorted) (B $$unsorted)) (not (and (not (= A tptp.k1_xboole_0)) (not (= B tptp.k1_xboole_0)) (not (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k2_zfmisc_1 A B)) (and (not (= C (tptp.k1_mcart_1 C))) (not (= C (tptp.k2_mcart_1 C)))))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.k3_mcart_1 A B C) (tptp.k4_tarski (tptp.k4_tarski A B) C))) true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted)) (=> (= (tptp.k3_mcart_1 A B C) (tptp.k3_mcart_1 D E F)) (and (= A D) (= B E) (= C F)))) (forall ((A $$unsorted)) (not (and (not (= A tptp.k1_xboole_0)) (forall ((B $$unsorted)) (not (and (tptp.r2_hidden B A) (forall ((C $$unsorted) (D $$unsorted) (E $$unsorted)) (not (and (or (tptp.r2_hidden C A) (tptp.r2_hidden D A)) (= B (tptp.k3_mcart_1 C D E))))))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (= (tptp.k4_mcart_1 A B C D) (tptp.k4_tarski (tptp.k3_mcart_1 A B C) D))) true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (= (tptp.k4_mcart_1 A B C D) (tptp.k4_tarski (tptp.k4_tarski (tptp.k4_tarski A B) C) D))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (= (tptp.k4_mcart_1 A B C D) (tptp.k3_mcart_1 (tptp.k4_tarski A B) C D))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted) (G $$unsorted) (H $$unsorted)) (=> (= (tptp.k4_mcart_1 A B C D) (tptp.k4_mcart_1 E F G H)) (and (= A E) (= B F) (= C G) (= D H)))) (forall ((A $$unsorted)) (not (and (not (= A tptp.k1_xboole_0)) (forall ((B $$unsorted)) (not (and (tptp.r2_hidden B A) (forall ((C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted)) (not (and (or (tptp.r2_hidden C A) (tptp.r2_hidden D A)) (= B (tptp.k4_mcart_1 C D E F))))))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (and (not (= A tptp.k1_xboole_0)) (not (= B tptp.k1_xboole_0)) (not (= C tptp.k1_xboole_0))) (not (= (tptp.k3_zfmisc_1 A B C) tptp.k1_xboole_0)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted)) (=> (= (tptp.k3_zfmisc_1 A B C) (tptp.k3_zfmisc_1 D E F)) (or (= A tptp.k1_xboole_0) (= B tptp.k1_xboole_0) (= C tptp.k1_xboole_0) (and (= A D) (= B E) (= C F))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted)) (let ((_let_1 (tptp.k3_zfmisc_1 A B C))) (=> (= _let_1 (tptp.k3_zfmisc_1 D E F)) (or (= _let_1 tptp.k1_xboole_0) (and (= A D) (= B E) (= C F)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (= (tptp.k3_zfmisc_1 A A A) (tptp.k3_zfmisc_1 B B B)) (= A B))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.k3_zfmisc_1 (tptp.k1_tarski A) (tptp.k1_tarski B) (tptp.k1_tarski C)) (tptp.k1_tarski (tptp.k3_mcart_1 A B C)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (= (tptp.k3_zfmisc_1 (tptp.k2_tarski A B) (tptp.k1_tarski C) (tptp.k1_tarski D)) (tptp.k2_tarski (tptp.k3_mcart_1 A C D) (tptp.k3_mcart_1 B C D)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (= (tptp.k3_zfmisc_1 (tptp.k1_tarski A) (tptp.k2_tarski B C) (tptp.k1_tarski D)) (tptp.k2_tarski (tptp.k3_mcart_1 A B D) (tptp.k3_mcart_1 A C D)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (= (tptp.k3_zfmisc_1 (tptp.k1_tarski A) (tptp.k1_tarski B) (tptp.k2_tarski C D)) (tptp.k2_tarski (tptp.k3_mcart_1 A B C) (tptp.k3_mcart_1 A B D)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (= (tptp.k3_zfmisc_1 (tptp.k2_tarski A B) (tptp.k2_tarski C D) (tptp.k1_tarski E)) (tptp.k2_enumset1 (tptp.k3_mcart_1 A C E) (tptp.k3_mcart_1 B C E) (tptp.k3_mcart_1 A D E) (tptp.k3_mcart_1 B D E)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (= (tptp.k3_zfmisc_1 (tptp.k2_tarski A B) (tptp.k1_tarski C) (tptp.k2_tarski D E)) (tptp.k2_enumset1 (tptp.k3_mcart_1 A C D) (tptp.k3_mcart_1 B C D) (tptp.k3_mcart_1 A C E) (tptp.k3_mcart_1 B C E)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (= (tptp.k3_zfmisc_1 (tptp.k1_tarski A) (tptp.k2_tarski B C) (tptp.k2_tarski D E)) (tptp.k2_enumset1 (tptp.k3_mcart_1 A B D) (tptp.k3_mcart_1 A C D) (tptp.k3_mcart_1 A B E) (tptp.k3_mcart_1 A C E)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted)) (= (tptp.k3_zfmisc_1 (tptp.k2_tarski A B) (tptp.k2_tarski C D) (tptp.k2_tarski E F)) (tptp.k6_enumset1 (tptp.k3_mcart_1 A C E) (tptp.k3_mcart_1 A D E) (tptp.k3_mcart_1 A C F) (tptp.k3_mcart_1 A D F) (tptp.k3_mcart_1 B C E) (tptp.k3_mcart_1 B D E) (tptp.k3_mcart_1 B C F) (tptp.k3_mcart_1 B D F)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (not (and (not (= A tptp.k1_xboole_0)) (not (= B tptp.k1_xboole_0)) (not (= C tptp.k1_xboole_0)) (not (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k3_zfmisc_1 A B C)) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E A) (= (= E (tptp.k5_mcart_1 A B C D)) (forall ((F $$unsorted) (G $$unsorted) (H $$unsorted)) (=> (= D (tptp.k3_mcart_1 F G H)) (= E F)))))))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (not (and (not (= A tptp.k1_xboole_0)) (not (= B tptp.k1_xboole_0)) (not (= C tptp.k1_xboole_0)) (not (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k3_zfmisc_1 A B C)) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E B) (= (= E (tptp.k6_mcart_1 A B C D)) (forall ((F $$unsorted) (G $$unsorted) (H $$unsorted)) (=> (= D (tptp.k3_mcart_1 F G H)) (= E G)))))))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (not (and (not (= A tptp.k1_xboole_0)) (not (= B tptp.k1_xboole_0)) (not (= C tptp.k1_xboole_0)) (not (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k3_zfmisc_1 A B C)) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E C) (= (= E (tptp.k7_mcart_1 A B C D)) (forall ((F $$unsorted) (G $$unsorted) (H $$unsorted)) (=> (= D (tptp.k3_mcart_1 F G H)) (= E H)))))))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (not (and (not (= A tptp.k1_xboole_0)) (not (= B tptp.k1_xboole_0)) (not (= C tptp.k1_xboole_0)) (exists ((D $$unsorted)) (and (tptp.m1_subset_1 D (tptp.k3_zfmisc_1 A B C)) (exists ((E $$unsorted) (F $$unsorted) (G $$unsorted)) (and (= D (tptp.k3_mcart_1 E F G)) (not (and (= (tptp.k5_mcart_1 A B C D) E) (= (tptp.k6_mcart_1 A B C D) F) (= (tptp.k7_mcart_1 A B C D) G)))))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (not (and (not (= A tptp.k1_xboole_0)) (not (= B tptp.k1_xboole_0)) (not (= C tptp.k1_xboole_0)) (not (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k3_zfmisc_1 A B C)) (= D (tptp.k3_mcart_1 (tptp.k5_mcart_1 A B C D) (tptp.k6_mcart_1 A B C D) (tptp.k7_mcart_1 A B C D))))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (not (and (not (tptp.r1_tarski A (tptp.k3_zfmisc_1 A B C))) (not (tptp.r1_tarski A (tptp.k3_zfmisc_1 B C A))) (not (tptp.r1_tarski A (tptp.k3_zfmisc_1 C A B))))) (= A tptp.k1_xboole_0))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (not (and (not (= A tptp.k1_xboole_0)) (not (= B tptp.k1_xboole_0)) (not (= C tptp.k1_xboole_0)) (not (forall ((D $$unsorted)) (let ((_let_1 (tptp.k1_mcart_1 D))) (=> (tptp.m1_subset_1 D (tptp.k3_zfmisc_1 A B C)) (and (= (tptp.k5_mcart_1 A B C D) (tptp.k1_mcart_1 _let_1)) (= (tptp.k6_mcart_1 A B C D) (tptp.k2_mcart_1 _let_1)) (= (tptp.k7_mcart_1 A B C D) (tptp.k2_mcart_1 D)))))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (not (and (not (= A tptp.k1_xboole_0)) (not (= B tptp.k1_xboole_0)) (not (= C tptp.k1_xboole_0)) (not (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k3_zfmisc_1 A B C)) (and (not (= D (tptp.k5_mcart_1 A B C D))) (not (= D (tptp.k6_mcart_1 A B C D))) (not (= D (tptp.k7_mcart_1 A B C D)))))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted)) (=> (not (tptp.r1_xboole_0 (tptp.k3_zfmisc_1 A B C) (tptp.k3_zfmisc_1 D E F))) (and (not (tptp.r1_xboole_0 A D)) (not (tptp.r1_xboole_0 B E)) (not (tptp.r1_xboole_0 C F))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (= (tptp.k4_zfmisc_1 A B C D) (tptp.k2_zfmisc_1 (tptp.k2_zfmisc_1 (tptp.k2_zfmisc_1 A B) C) D))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (= (tptp.k3_zfmisc_1 (tptp.k2_zfmisc_1 A B) C D) (tptp.k4_zfmisc_1 A B C D))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (= (and (not (= A tptp.k1_xboole_0)) (not (= B tptp.k1_xboole_0)) (not (= C tptp.k1_xboole_0)) (not (= D tptp.k1_xboole_0))) (not (= (tptp.k4_zfmisc_1 A B C D) tptp.k1_xboole_0)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted) (G $$unsorted) (H $$unsorted)) (=> (= (tptp.k4_zfmisc_1 A B C D) (tptp.k4_zfmisc_1 E F G H)) (or (= A tptp.k1_xboole_0) (= B tptp.k1_xboole_0) (= C tptp.k1_xboole_0) (= D tptp.k1_xboole_0) (and (= A E) (= B F) (= C G) (= D H))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted) (G $$unsorted) (H $$unsorted)) (let ((_let_1 (tptp.k4_zfmisc_1 A B C D))) (=> (= _let_1 (tptp.k4_zfmisc_1 E F G H)) (or (= _let_1 tptp.k1_xboole_0) (and (= A E) (= B F) (= C G) (= D H)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (= (tptp.k4_zfmisc_1 A A A A) (tptp.k4_zfmisc_1 B B B B)) (= A B))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (not (and (not (= A tptp.k1_xboole_0)) (not (= B tptp.k1_xboole_0)) (not (= C tptp.k1_xboole_0)) (not (= D tptp.k1_xboole_0)) (not (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.k4_zfmisc_1 A B C D)) (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F A) (= (= F (tptp.k8_mcart_1 A B C D E)) (forall ((G $$unsorted) (H $$unsorted) (I $$unsorted) (J $$unsorted)) (=> (= E (tptp.k4_mcart_1 G H I J)) (= F G)))))))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (not (and (not (= A tptp.k1_xboole_0)) (not (= B tptp.k1_xboole_0)) (not (= C tptp.k1_xboole_0)) (not (= D tptp.k1_xboole_0)) (not (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.k4_zfmisc_1 A B C D)) (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F B) (= (= F (tptp.k9_mcart_1 A B C D E)) (forall ((G $$unsorted) (H $$unsorted) (I $$unsorted) (J $$unsorted)) (=> (= E (tptp.k4_mcart_1 G H I J)) (= F H)))))))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (not (and (not (= A tptp.k1_xboole_0)) (not (= B tptp.k1_xboole_0)) (not (= C tptp.k1_xboole_0)) (not (= D tptp.k1_xboole_0)) (not (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.k4_zfmisc_1 A B C D)) (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F C) (= (= F (tptp.k10_mcart_1 A B C D E)) (forall ((G $$unsorted) (H $$unsorted) (I $$unsorted) (J $$unsorted)) (=> (= E (tptp.k4_mcart_1 G H I J)) (= F I)))))))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (not (and (not (= A tptp.k1_xboole_0)) (not (= B tptp.k1_xboole_0)) (not (= C tptp.k1_xboole_0)) (not (= D tptp.k1_xboole_0)) (not (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.k4_zfmisc_1 A B C D)) (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F D) (= (= F (tptp.k11_mcart_1 A B C D E)) (forall ((G $$unsorted) (H $$unsorted) (I $$unsorted) (J $$unsorted)) (=> (= E (tptp.k4_mcart_1 G H I J)) (= F J)))))))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (not (and (not (= A tptp.k1_xboole_0)) (not (= B tptp.k1_xboole_0)) (not (= C tptp.k1_xboole_0)) (not (= D tptp.k1_xboole_0)) (exists ((E $$unsorted)) (and (tptp.m1_subset_1 E (tptp.k4_zfmisc_1 A B C D)) (exists ((F $$unsorted) (G $$unsorted) (H $$unsorted) (I $$unsorted)) (and (= E (tptp.k4_mcart_1 F G H I)) (not (and (= (tptp.k8_mcart_1 A B C D E) F) (= (tptp.k9_mcart_1 A B C D E) G) (= (tptp.k10_mcart_1 A B C D E) H) (= (tptp.k11_mcart_1 A B C D E) I)))))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (not (and (not (= A tptp.k1_xboole_0)) (not (= B tptp.k1_xboole_0)) (not (= C tptp.k1_xboole_0)) (not (= D tptp.k1_xboole_0)) (not (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.k4_zfmisc_1 A B C D)) (= E (tptp.k4_mcart_1 (tptp.k8_mcart_1 A B C D E) (tptp.k9_mcart_1 A B C D E) (tptp.k10_mcart_1 A B C D E) (tptp.k11_mcart_1 A B C D E))))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (not (and (not (= A tptp.k1_xboole_0)) (not (= B tptp.k1_xboole_0)) (not (= C tptp.k1_xboole_0)) (not (= D tptp.k1_xboole_0)) (not (forall ((E $$unsorted)) (let ((_let_1 (tptp.k1_mcart_1 E))) (let ((_let_2 (tptp.k1_mcart_1 _let_1))) (=> (tptp.m1_subset_1 E (tptp.k4_zfmisc_1 A B C D)) (and (= (tptp.k8_mcart_1 A B C D E) (tptp.k1_mcart_1 _let_2)) (= (tptp.k9_mcart_1 A B C D E) (tptp.k2_mcart_1 _let_2)) (= (tptp.k10_mcart_1 A B C D E) (tptp.k2_mcart_1 _let_1)) (= (tptp.k11_mcart_1 A B C D E) (tptp.k2_mcart_1 E))))))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (not (and (not (= A tptp.k1_xboole_0)) (not (= B tptp.k1_xboole_0)) (not (= C tptp.k1_xboole_0)) (not (= D tptp.k1_xboole_0)) (not (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.k4_zfmisc_1 A B C D)) (and (not (= E (tptp.k8_mcart_1 A B C D E))) (not (= E (tptp.k9_mcart_1 A B C D E))) (not (= E (tptp.k10_mcart_1 A B C D E))) (not (= E (tptp.k11_mcart_1 A B C D E)))))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (not (and (not (tptp.r1_tarski A (tptp.k4_zfmisc_1 A B C D))) (not (tptp.r1_tarski A (tptp.k4_zfmisc_1 B C D A))) (not (tptp.r1_tarski A (tptp.k4_zfmisc_1 C D A B))) (not (tptp.r1_tarski A (tptp.k4_zfmisc_1 D A B C))))) (= A tptp.k1_xboole_0))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted) (G $$unsorted) (H $$unsorted)) (=> (not (tptp.r1_xboole_0 (tptp.k4_zfmisc_1 A B C D) (tptp.k4_zfmisc_1 E F G H))) (and (not (tptp.r1_xboole_0 A E)) (not (tptp.r1_xboole_0 B F)) (not (tptp.r1_xboole_0 C G)) (not (tptp.r1_xboole_0 D H))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (= (tptp.k4_zfmisc_1 (tptp.k1_tarski A) (tptp.k1_tarski B) (tptp.k1_tarski C) (tptp.k1_tarski D)) (tptp.k1_tarski (tptp.k4_mcart_1 A B C D)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (not (= (tptp.k2_zfmisc_1 A B) tptp.k1_xboole_0)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k2_zfmisc_1 A B)) (and (not (= C (tptp.k1_mcart_1 C))) (not (= C (tptp.k2_mcart_1 C)))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.r2_hidden A (tptp.k2_zfmisc_1 B C)) (and (not (= A (tptp.k1_mcart_1 A))) (not (= A (tptp.k2_mcart_1 A)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k3_zfmisc_1 A B C)) (not (and (not (= A tptp.k1_xboole_0)) (not (= B tptp.k1_xboole_0)) (not (= C tptp.k1_xboole_0)) (exists ((E $$unsorted) (F $$unsorted) (G $$unsorted)) (and (= D (tptp.k3_mcart_1 E F G)) (not (and (= (tptp.k5_mcart_1 A B C D) E) (= (tptp.k6_mcart_1 A B C D) F) (= (tptp.k7_mcart_1 A B C D) G))))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.k3_zfmisc_1 A B C)) (=> (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F A) (forall ((G $$unsorted)) (=> (tptp.m1_subset_1 G B) (forall ((H $$unsorted)) (=> (tptp.m1_subset_1 H C) (=> (= E (tptp.k3_mcart_1 F G H)) (= D F)))))))) (or (= A tptp.k1_xboole_0) (= B tptp.k1_xboole_0) (= C tptp.k1_xboole_0) (= D (tptp.k5_mcart_1 A B C E)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.k3_zfmisc_1 A B C)) (=> (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F A) (forall ((G $$unsorted)) (=> (tptp.m1_subset_1 G B) (forall ((H $$unsorted)) (=> (tptp.m1_subset_1 H C) (=> (= E (tptp.k3_mcart_1 F G H)) (= D G)))))))) (or (= A tptp.k1_xboole_0) (= B tptp.k1_xboole_0) (= C tptp.k1_xboole_0) (= D (tptp.k6_mcart_1 A B C E)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.k3_zfmisc_1 A B C)) (=> (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F A) (forall ((G $$unsorted)) (=> (tptp.m1_subset_1 G B) (forall ((H $$unsorted)) (=> (tptp.m1_subset_1 H C) (=> (= E (tptp.k3_mcart_1 F G H)) (= D H)))))))) (or (= A tptp.k1_xboole_0) (= B tptp.k1_xboole_0) (= C tptp.k1_xboole_0) (= D (tptp.k7_mcart_1 A B C E)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (not (and (tptp.r2_hidden A (tptp.k3_zfmisc_1 B C D)) (forall ((E $$unsorted) (F $$unsorted) (G $$unsorted)) (not (and (tptp.r2_hidden E B) (tptp.r2_hidden F C) (tptp.r2_hidden G D) (= A (tptp.k3_mcart_1 E F G)))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted)) (= (tptp.r2_hidden (tptp.k3_mcart_1 A B C) (tptp.k3_zfmisc_1 D E F)) (and (tptp.r2_hidden A D) (tptp.r2_hidden B E) (tptp.r2_hidden C F)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (forall ((E $$unsorted)) (= (tptp.r2_hidden E A) (exists ((F $$unsorted) (G $$unsorted) (H $$unsorted)) (and (tptp.r2_hidden F B) (tptp.r2_hidden G C) (tptp.r2_hidden H D) (= E (tptp.k3_mcart_1 F G H)))))) (= A (tptp.k3_zfmisc_1 B C D)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted)) (not (and (not (= A tptp.k1_xboole_0)) (not (= B tptp.k1_xboole_0)) (not (= C tptp.k1_xboole_0)) (not (= D tptp.k1_xboole_0)) (not (= E tptp.k1_xboole_0)) (not (= F tptp.k1_xboole_0)) (exists ((G $$unsorted)) (and (tptp.m1_subset_1 G (tptp.k3_zfmisc_1 A B C)) (exists ((H $$unsorted)) (and (tptp.m1_subset_1 H (tptp.k3_zfmisc_1 D E F)) (= G H) (not (and (= (tptp.k5_mcart_1 A B C G) (tptp.k5_mcart_1 D E F H)) (= (tptp.k6_mcart_1 A B C G) (tptp.k6_mcart_1 D E F H)) (= (tptp.k7_mcart_1 A B C G) (tptp.k7_mcart_1 D E F H))))))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 A)) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.k1_zfmisc_1 B)) (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F (tptp.k1_zfmisc_1 C)) (forall ((G $$unsorted)) (=> (tptp.m1_subset_1 G (tptp.k3_zfmisc_1 A B C)) (=> (tptp.r2_hidden G (tptp.k3_zfmisc_1 D E F)) (and (tptp.r2_hidden (tptp.k5_mcart_1 A B C G) D) (tptp.r2_hidden (tptp.k6_mcart_1 A B C G) E) (tptp.r2_hidden (tptp.k7_mcart_1 A B C G) F))))))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted)) (=> (and (tptp.r1_tarski A B) (tptp.r1_tarski C D) (tptp.r1_tarski E F)) (tptp.r1_tarski (tptp.k3_zfmisc_1 A C E) (tptp.k3_zfmisc_1 B D F)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.k4_zfmisc_1 A B C D)) (not (and (not (= A tptp.k1_xboole_0)) (not (= B tptp.k1_xboole_0)) (not (= C tptp.k1_xboole_0)) (not (= D tptp.k1_xboole_0)) (exists ((F $$unsorted) (G $$unsorted) (H $$unsorted) (I $$unsorted)) (and (= E (tptp.k4_mcart_1 F G H I)) (not (and (= (tptp.k8_mcart_1 A B C D E) F) (= (tptp.k9_mcart_1 A B C D E) G) (= (tptp.k10_mcart_1 A B C D E) H) (= (tptp.k11_mcart_1 A B C D E) I))))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted)) (=> (tptp.m1_subset_1 F (tptp.k4_zfmisc_1 A B C D)) (=> (forall ((G $$unsorted)) (=> (tptp.m1_subset_1 G A) (forall ((H $$unsorted)) (=> (tptp.m1_subset_1 H B) (forall ((I $$unsorted)) (=> (tptp.m1_subset_1 I C) (forall ((J $$unsorted)) (=> (tptp.m1_subset_1 J D) (=> (= F (tptp.k4_mcart_1 G H I J)) (= E G)))))))))) (or (= A tptp.k1_xboole_0) (= B tptp.k1_xboole_0) (= C tptp.k1_xboole_0) (= D tptp.k1_xboole_0) (= E (tptp.k8_mcart_1 A B C D F)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted)) (=> (tptp.m1_subset_1 F (tptp.k4_zfmisc_1 A B C D)) (=> (forall ((G $$unsorted)) (=> (tptp.m1_subset_1 G A) (forall ((H $$unsorted)) (=> (tptp.m1_subset_1 H B) (forall ((I $$unsorted)) (=> (tptp.m1_subset_1 I C) (forall ((J $$unsorted)) (=> (tptp.m1_subset_1 J D) (=> (= F (tptp.k4_mcart_1 G H I J)) (= E H)))))))))) (or (= A tptp.k1_xboole_0) (= B tptp.k1_xboole_0) (= C tptp.k1_xboole_0) (= D tptp.k1_xboole_0) (= E (tptp.k9_mcart_1 A B C D F)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted)) (=> (tptp.m1_subset_1 F (tptp.k4_zfmisc_1 A B C D)) (=> (forall ((G $$unsorted)) (=> (tptp.m1_subset_1 G A) (forall ((H $$unsorted)) (=> (tptp.m1_subset_1 H B) (forall ((I $$unsorted)) (=> (tptp.m1_subset_1 I C) (forall ((J $$unsorted)) (=> (tptp.m1_subset_1 J D) (=> (= F (tptp.k4_mcart_1 G H I J)) (= E I)))))))))) (or (= A tptp.k1_xboole_0) (= B tptp.k1_xboole_0) (= C tptp.k1_xboole_0) (= D tptp.k1_xboole_0) (= E (tptp.k10_mcart_1 A B C D F)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted)) (=> (tptp.m1_subset_1 F (tptp.k4_zfmisc_1 A B C D)) (=> (forall ((G $$unsorted)) (=> (tptp.m1_subset_1 G A) (forall ((H $$unsorted)) (=> (tptp.m1_subset_1 H B) (forall ((I $$unsorted)) (=> (tptp.m1_subset_1 I C) (forall ((J $$unsorted)) (=> (tptp.m1_subset_1 J D) (=> (= F (tptp.k4_mcart_1 G H I J)) (= E J)))))))))) (or (= A tptp.k1_xboole_0) (= B tptp.k1_xboole_0) (= C tptp.k1_xboole_0) (= D tptp.k1_xboole_0) (= E (tptp.k11_mcart_1 A B C D F)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (not (and (tptp.r2_hidden A (tptp.k4_zfmisc_1 B C D E)) (forall ((F $$unsorted) (G $$unsorted) (H $$unsorted) (I $$unsorted)) (not (and (tptp.r2_hidden F B) (tptp.r2_hidden G C) (tptp.r2_hidden H D) (tptp.r2_hidden I E) (= A (tptp.k4_mcart_1 F G H I)))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted) (G $$unsorted) (H $$unsorted)) (= (tptp.r2_hidden (tptp.k4_mcart_1 A B C D) (tptp.k4_zfmisc_1 E F G H)) (and (tptp.r2_hidden A E) (tptp.r2_hidden B F) (tptp.r2_hidden C G) (tptp.r2_hidden D H)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (=> (forall ((F $$unsorted)) (= (tptp.r2_hidden F A) (exists ((G $$unsorted) (H $$unsorted) (I $$unsorted) (J $$unsorted)) (and (tptp.r2_hidden G B) (tptp.r2_hidden H C) (tptp.r2_hidden I D) (tptp.r2_hidden J E) (= F (tptp.k4_mcart_1 G H I J)))))) (= A (tptp.k4_zfmisc_1 B C D E)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted) (G $$unsorted) (H $$unsorted)) (not (and (not (= A tptp.k1_xboole_0)) (not (= B tptp.k1_xboole_0)) (not (= C tptp.k1_xboole_0)) (not (= D tptp.k1_xboole_0)) (not (= E tptp.k1_xboole_0)) (not (= F tptp.k1_xboole_0)) (not (= G tptp.k1_xboole_0)) (not (= H tptp.k1_xboole_0)) (exists ((I $$unsorted)) (and (tptp.m1_subset_1 I (tptp.k4_zfmisc_1 A B C D)) (exists ((J $$unsorted)) (and (tptp.m1_subset_1 J (tptp.k4_zfmisc_1 E F G H)) (= I J) (not (and (= (tptp.k8_mcart_1 A B C D I) (tptp.k8_mcart_1 E F G H J)) (= (tptp.k9_mcart_1 A B C D I) (tptp.k9_mcart_1 E F G H J)) (= (tptp.k10_mcart_1 A B C D I) (tptp.k10_mcart_1 E F G H J)) (= (tptp.k11_mcart_1 A B C D I) (tptp.k11_mcart_1 E F G H J))))))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.k1_zfmisc_1 A)) (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F (tptp.k1_zfmisc_1 B)) (forall ((G $$unsorted)) (=> (tptp.m1_subset_1 G (tptp.k1_zfmisc_1 C)) (forall ((H $$unsorted)) (=> (tptp.m1_subset_1 H (tptp.k1_zfmisc_1 D)) (forall ((I $$unsorted)) (=> (tptp.m1_subset_1 I (tptp.k4_zfmisc_1 A B C D)) (=> (tptp.r2_hidden I (tptp.k4_zfmisc_1 E F G H)) (and (tptp.r2_hidden (tptp.k8_mcart_1 A B C D I) E) (tptp.r2_hidden (tptp.k9_mcart_1 A B C D I) F) (tptp.r2_hidden (tptp.k10_mcart_1 A B C D I) G) (tptp.r2_hidden (tptp.k11_mcart_1 A B C D I) H))))))))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted) (G $$unsorted) (H $$unsorted)) (=> (and (tptp.r1_tarski A B) (tptp.r1_tarski C D) (tptp.r1_tarski E F) (tptp.r1_tarski G H)) (tptp.r1_tarski (tptp.k4_zfmisc_1 A C E G) (tptp.k4_zfmisc_1 B D F H)))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (= (= B (tptp.k15_mcart_1 A)) (and (= (tptp.k1_relat_1 B) (tptp.k1_relat_1 A)) (forall ((C $$unsorted)) (=> (tptp.r2_hidden C (tptp.k1_relat_1 A)) (= (tptp.k1_funct_1 B C) (tptp.k1_mcart_1 (tptp.k1_funct_1 A C))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (= (= B (tptp.k16_mcart_1 A)) (and (= (tptp.k1_relat_1 B) (tptp.k1_relat_1 A)) (forall ((C $$unsorted)) (=> (tptp.r2_hidden C (tptp.k1_relat_1 A)) (= (tptp.k1_funct_1 B C) (tptp.k2_mcart_1 (tptp.k1_funct_1 A C))))))))))) (forall ((A $$unsorted)) (= (tptp.k17_mcart_1 A) (tptp.k1_mcart_1 (tptp.k1_mcart_1 A)))) (forall ((A $$unsorted)) (= (tptp.k18_mcart_1 A) (tptp.k2_mcart_1 (tptp.k1_mcart_1 A)))) (forall ((A $$unsorted)) (= (tptp.k19_mcart_1 A) (tptp.k1_mcart_1 (tptp.k2_mcart_1 A)))) (forall ((A $$unsorted)) (= (tptp.k20_mcart_1 A) (tptp.k2_mcart_1 (tptp.k2_mcart_1 A)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted)) (let ((_let_1 (tptp.k4_tarski F (tptp.k4_tarski D E)))) (let ((_let_2 (tptp.k4_tarski (tptp.k4_tarski A B) C))) (and (= (tptp.k17_mcart_1 _let_2) A) (= (tptp.k18_mcart_1 _let_2) B) (= (tptp.k19_mcart_1 _let_1) D) (= (tptp.k20_mcart_1 _let_1) E))))) true true true true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k3_zfmisc_1 A B C)) (tptp.m1_subset_1 (tptp.k5_mcart_1 A B C D) A))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k3_zfmisc_1 A B C)) (tptp.m1_subset_1 (tptp.k6_mcart_1 A B C D) B))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k3_zfmisc_1 A B C)) (tptp.m1_subset_1 (tptp.k7_mcart_1 A B C D) C))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.k4_zfmisc_1 A B C D)) (tptp.m1_subset_1 (tptp.k8_mcart_1 A B C D E) A))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.k4_zfmisc_1 A B C D)) (tptp.m1_subset_1 (tptp.k9_mcart_1 A B C D E) B))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.k4_zfmisc_1 A B C D)) (tptp.m1_subset_1 (tptp.k10_mcart_1 A B C D E) C))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.k4_zfmisc_1 A B C D)) (tptp.m1_subset_1 (tptp.k11_mcart_1 A B C D E) D))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 A)) (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 B))) (tptp.m1_subset_1 (tptp.k12_mcart_1 A B C D) (tptp.k1_zfmisc_1 (tptp.k2_zfmisc_1 A B))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 A)) (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 B))) (= (tptp.k12_mcart_1 A B C D) (tptp.k2_zfmisc_1 C D)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted)) (=> (and (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 A)) (tptp.m1_subset_1 E (tptp.k1_zfmisc_1 B)) (tptp.m1_subset_1 F (tptp.k1_zfmisc_1 C))) (tptp.m1_subset_1 (tptp.k13_mcart_1 A B C D E F) (tptp.k1_zfmisc_1 (tptp.k3_zfmisc_1 A B C))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted)) (=> (and (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 A)) (tptp.m1_subset_1 E (tptp.k1_zfmisc_1 B)) (tptp.m1_subset_1 F (tptp.k1_zfmisc_1 C))) (= (tptp.k13_mcart_1 A B C D E F) (tptp.k3_zfmisc_1 D E F)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted) (G $$unsorted) (H $$unsorted)) (=> (and (tptp.m1_subset_1 E (tptp.k1_zfmisc_1 A)) (tptp.m1_subset_1 F (tptp.k1_zfmisc_1 B)) (tptp.m1_subset_1 G (tptp.k1_zfmisc_1 C)) (tptp.m1_subset_1 H (tptp.k1_zfmisc_1 D))) (tptp.m1_subset_1 (tptp.k14_mcart_1 A B C D E F G H) (tptp.k1_zfmisc_1 (tptp.k4_zfmisc_1 A B C D))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted) (G $$unsorted) (H $$unsorted)) (=> (and (tptp.m1_subset_1 E (tptp.k1_zfmisc_1 A)) (tptp.m1_subset_1 F (tptp.k1_zfmisc_1 B)) (tptp.m1_subset_1 G (tptp.k1_zfmisc_1 C)) (tptp.m1_subset_1 H (tptp.k1_zfmisc_1 D))) (= (tptp.k14_mcart_1 A B C D E F G H) (tptp.k4_zfmisc_1 E F G H)))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k15_mcart_1 A))) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (and (tptp.v1_relat_1 _let_1) (tptp.v1_funct_1 _let_1))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k16_mcart_1 A))) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (and (tptp.v1_relat_1 _let_1) (tptp.v1_funct_1 _let_1))))) true true true true (forall ((A $$unsorted) (B $$unsorted)) (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 $$unsorted)) (let ((_let_1 (tptp.k1_tarski C))) (let ((_let_2 (tptp.k2_zfmisc_1 (tptp.k1_tarski A) (tptp.k1_tarski B)))) (let ((_let_3 (tptp.k9_funct_2 A B C))) (and (tptp.v1_funct_1 _let_3) (tptp.v1_funct_2 _let_3 _let_2 _let_1) (tptp.m2_relset_1 _let_3 _let_2 _let_1)))))) true true true true true true true true (forall ((A $$unsorted) (B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (=> (not (tptp.v1_xboole_0 C)) (not (and (tptp.r2_hidden A (tptp.k2_zfmisc_1 B C)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D B) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E C) (not (= A (tptp.k4_tarski D E))))))))))))) true true (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k2_zfmisc_1 A B)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k2_zfmisc_1 A B)) (=> (and (= (tptp.k1_mcart_1 C) (tptp.k1_mcart_1 D)) (= (tptp.k2_mcart_1 C) (tptp.k2_mcart_1 D))) (= C D)))))))))) true true (forall ((A $$unsorted) (B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (=> (not (tptp.v1_xboole_0 C)) (forall ((D $$unsorted)) (=> (not (tptp.v1_xboole_0 D)) (= (tptp.r2_hidden A (tptp.k3_zfmisc_1 B C D)) (exists ((E $$unsorted)) (and (tptp.m1_subset_1 E B) (exists ((F $$unsorted)) (and (tptp.m1_subset_1 F C) (exists ((G $$unsorted)) (and (tptp.m1_subset_1 G D) (= A (tptp.k3_mcart_1 E F G))))))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (=> (not (tptp.v1_xboole_0 C)) (forall ((D $$unsorted)) (=> (not (tptp.v1_xboole_0 D)) (=> (forall ((E $$unsorted)) (= (tptp.r2_hidden E A) (exists ((F $$unsorted)) (and (tptp.m1_subset_1 F B) (exists ((G $$unsorted)) (and (tptp.m1_subset_1 G C) (exists ((H $$unsorted)) (and (tptp.m1_subset_1 H D) (= E (tptp.k3_mcart_1 F G H)))))))))) (= A (tptp.k3_zfmisc_1 B C D))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (=> (not (tptp.v1_xboole_0 C)) (forall ((D $$unsorted)) (=> (not (tptp.v1_xboole_0 D)) (= (= A (tptp.k3_zfmisc_1 B C D)) (forall ((E $$unsorted)) (= (tptp.r2_hidden E A) (exists ((F $$unsorted)) (and (tptp.m1_subset_1 F B) (exists ((G $$unsorted)) (and (tptp.m1_subset_1 G C) (exists ((H $$unsorted)) (and (tptp.m1_subset_1 H D) (= E (tptp.k3_mcart_1 F G H))))))))))))))))))) true true true true true true (forall ((A $$unsorted) (B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (=> (not (tptp.v1_xboole_0 C)) (forall ((D $$unsorted)) (=> (not (tptp.v1_xboole_0 D)) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.k3_zfmisc_1 B C D)) (= (= A (tptp.k5_mcart_1 B C D E)) (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F B) (forall ((G $$unsorted)) (=> (tptp.m1_subset_1 G C) (forall ((H $$unsorted)) (=> (tptp.m1_subset_1 H D) (=> (= E (tptp.k4_domain_1 B C D F G H)) (= A F))))))))))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (=> (not (tptp.v1_xboole_0 C)) (forall ((D $$unsorted)) (=> (not (tptp.v1_xboole_0 D)) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.k3_zfmisc_1 B C D)) (= (= A (tptp.k6_mcart_1 B C D E)) (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F B) (forall ((G $$unsorted)) (=> (tptp.m1_subset_1 G C) (forall ((H $$unsorted)) (=> (tptp.m1_subset_1 H D) (=> (= E (tptp.k4_domain_1 B C D F G H)) (= A G))))))))))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (=> (not (tptp.v1_xboole_0 C)) (forall ((D $$unsorted)) (=> (not (tptp.v1_xboole_0 D)) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.k3_zfmisc_1 B C D)) (= (= A (tptp.k7_mcart_1 B C D E)) (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F B) (forall ((G $$unsorted)) (=> (tptp.m1_subset_1 G C) (forall ((H $$unsorted)) (=> (tptp.m1_subset_1 H D) (=> (= E (tptp.k4_domain_1 B C D F G H)) (= A H))))))))))))))))) true (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (=> (not (tptp.v1_xboole_0 C)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k3_zfmisc_1 A B C)) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.k3_zfmisc_1 A B C)) (=> (and (= (tptp.k5_mcart_1 A B C D) (tptp.k5_mcart_1 A B C E)) (= (tptp.k6_mcart_1 A B C D) (tptp.k6_mcart_1 A B C E)) (= (tptp.k7_mcart_1 A B C D) (tptp.k7_mcart_1 A B C E))) (= D E)))))))))))) true true (forall ((A $$unsorted) (B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (=> (not (tptp.v1_xboole_0 C)) (forall ((D $$unsorted)) (=> (not (tptp.v1_xboole_0 D)) (forall ((E $$unsorted)) (=> (not (tptp.v1_xboole_0 E)) (= (tptp.r2_hidden A (tptp.k4_zfmisc_1 B C D E)) (exists ((F $$unsorted)) (and (tptp.m1_subset_1 F B) (exists ((G $$unsorted)) (and (tptp.m1_subset_1 G C) (exists ((H $$unsorted)) (and (tptp.m1_subset_1 H D) (exists ((I $$unsorted)) (and (tptp.m1_subset_1 I E) (= A (tptp.k4_mcart_1 F G H I))))))))))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (=> (not (tptp.v1_xboole_0 C)) (forall ((D $$unsorted)) (=> (not (tptp.v1_xboole_0 D)) (forall ((E $$unsorted)) (=> (not (tptp.v1_xboole_0 E)) (=> (forall ((F $$unsorted)) (= (tptp.r2_hidden F A) (exists ((G $$unsorted)) (and (tptp.m1_subset_1 G B) (exists ((H $$unsorted)) (and (tptp.m1_subset_1 H C) (exists ((I $$unsorted)) (and (tptp.m1_subset_1 I D) (exists ((J $$unsorted)) (and (tptp.m1_subset_1 J E) (= F (tptp.k4_mcart_1 G H I J)))))))))))) (= A (tptp.k4_zfmisc_1 B C D E))))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (=> (not (tptp.v1_xboole_0 C)) (forall ((D $$unsorted)) (=> (not (tptp.v1_xboole_0 D)) (forall ((E $$unsorted)) (=> (not (tptp.v1_xboole_0 E)) (= (= A (tptp.k4_zfmisc_1 B C D E)) (forall ((F $$unsorted)) (= (tptp.r2_hidden F A) (exists ((G $$unsorted)) (and (tptp.m1_subset_1 G B) (exists ((H $$unsorted)) (and (tptp.m1_subset_1 H C) (exists ((I $$unsorted)) (and (tptp.m1_subset_1 I D) (exists ((J $$unsorted)) (and (tptp.m1_subset_1 J E) (= F (tptp.k4_mcart_1 G H I J))))))))))))))))))))))) true true true true true true (forall ((A $$unsorted) (B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (=> (not (tptp.v1_xboole_0 C)) (forall ((D $$unsorted)) (=> (not (tptp.v1_xboole_0 D)) (forall ((E $$unsorted)) (=> (not (tptp.v1_xboole_0 E)) (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F (tptp.k4_zfmisc_1 B C D E)) (= (= A (tptp.k8_mcart_1 B C D E F)) (forall ((G $$unsorted)) (=> (tptp.m1_subset_1 G B) (forall ((H $$unsorted)) (=> (tptp.m1_subset_1 H C) (forall ((I $$unsorted)) (=> (tptp.m1_subset_1 I D) (forall ((J $$unsorted)) (=> (tptp.m1_subset_1 J E) (=> (= F (tptp.k5_domain_1 B C D E G H I J)) (= A G))))))))))))))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (=> (not (tptp.v1_xboole_0 C)) (forall ((D $$unsorted)) (=> (not (tptp.v1_xboole_0 D)) (forall ((E $$unsorted)) (=> (not (tptp.v1_xboole_0 E)) (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F (tptp.k4_zfmisc_1 B C D E)) (= (= A (tptp.k9_mcart_1 B C D E F)) (forall ((G $$unsorted)) (=> (tptp.m1_subset_1 G B) (forall ((H $$unsorted)) (=> (tptp.m1_subset_1 H C) (forall ((I $$unsorted)) (=> (tptp.m1_subset_1 I D) (forall ((J $$unsorted)) (=> (tptp.m1_subset_1 J E) (=> (= F (tptp.k5_domain_1 B C D E G H I J)) (= A H))))))))))))))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (=> (not (tptp.v1_xboole_0 C)) (forall ((D $$unsorted)) (=> (not (tptp.v1_xboole_0 D)) (forall ((E $$unsorted)) (=> (not (tptp.v1_xboole_0 E)) (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F (tptp.k4_zfmisc_1 B C D E)) (= (= A (tptp.k10_mcart_1 B C D E F)) (forall ((G $$unsorted)) (=> (tptp.m1_subset_1 G B) (forall ((H $$unsorted)) (=> (tptp.m1_subset_1 H C) (forall ((I $$unsorted)) (=> (tptp.m1_subset_1 I D) (forall ((J $$unsorted)) (=> (tptp.m1_subset_1 J E) (=> (= F (tptp.k5_domain_1 B C D E G H I J)) (= A I))))))))))))))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (=> (not (tptp.v1_xboole_0 C)) (forall ((D $$unsorted)) (=> (not (tptp.v1_xboole_0 D)) (forall ((E $$unsorted)) (=> (not (tptp.v1_xboole_0 E)) (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F (tptp.k4_zfmisc_1 B C D E)) (= (= A (tptp.k11_mcart_1 B C D E F)) (forall ((G $$unsorted)) (=> (tptp.m1_subset_1 G B) (forall ((H $$unsorted)) (=> (tptp.m1_subset_1 H C) (forall ((I $$unsorted)) (=> (tptp.m1_subset_1 I D) (forall ((J $$unsorted)) (=> (tptp.m1_subset_1 J E) (=> (= F (tptp.k5_domain_1 B C D E G H I J)) (= A J))))))))))))))))))))) true (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (=> (not (tptp.v1_xboole_0 C)) (forall ((D $$unsorted)) (=> (not (tptp.v1_xboole_0 D)) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.k4_zfmisc_1 A B C D)) (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F (tptp.k4_zfmisc_1 A B C D)) (=> (and (= (tptp.k8_mcart_1 A B C D E) (tptp.k8_mcart_1 A B C D F)) (= (tptp.k9_mcart_1 A B C D E) (tptp.k9_mcart_1 A B C D F)) (= (tptp.k10_mcart_1 A B C D E) (tptp.k10_mcart_1 A B C D F)) (= (tptp.k11_mcart_1 A B C D E) (tptp.k11_mcart_1 A B C D F))) (= E F)))))))))))))) true true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (not (tptp.v1_xboole_0 B)) (tptp.m1_subset_1 C A) (tptp.m1_subset_1 D B)) (tptp.m1_subset_1 (tptp.k1_domain_1 A B C D) (tptp.k2_zfmisc_1 A B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (not (tptp.v1_xboole_0 B)) (tptp.m1_subset_1 C A) (tptp.m1_subset_1 D B)) (= (tptp.k1_domain_1 A B C D) (tptp.k4_tarski C D)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (not (tptp.v1_xboole_0 B)) (tptp.m1_subset_1 C (tptp.k2_zfmisc_1 A B))) (tptp.m1_subset_1 (tptp.k2_domain_1 A B C) A))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (not (tptp.v1_xboole_0 B)) (tptp.m1_subset_1 C (tptp.k2_zfmisc_1 A B))) (= (tptp.k2_domain_1 A B C) (tptp.k1_mcart_1 C)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (not (tptp.v1_xboole_0 B)) (tptp.m1_subset_1 C (tptp.k2_zfmisc_1 A B))) (tptp.m1_subset_1 (tptp.k3_domain_1 A B C) B))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (not (tptp.v1_xboole_0 B)) (tptp.m1_subset_1 C (tptp.k2_zfmisc_1 A B))) (= (tptp.k3_domain_1 A B C) (tptp.k2_mcart_1 C)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (not (tptp.v1_xboole_0 B)) (not (tptp.v1_xboole_0 C)) (tptp.m1_subset_1 D A) (tptp.m1_subset_1 E B) (tptp.m1_subset_1 F C)) (tptp.m1_subset_1 (tptp.k4_domain_1 A B C D E F) (tptp.k3_zfmisc_1 A B C)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (not (tptp.v1_xboole_0 B)) (not (tptp.v1_xboole_0 C)) (tptp.m1_subset_1 D A) (tptp.m1_subset_1 E B) (tptp.m1_subset_1 F C)) (= (tptp.k4_domain_1 A B C D E F) (tptp.k3_mcart_1 D E F)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted) (G $$unsorted) (H $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (not (tptp.v1_xboole_0 B)) (not (tptp.v1_xboole_0 C)) (not (tptp.v1_xboole_0 D)) (tptp.m1_subset_1 E A) (tptp.m1_subset_1 F B) (tptp.m1_subset_1 G C) (tptp.m1_subset_1 H D)) (tptp.m1_subset_1 (tptp.k5_domain_1 A B C D E F G H) (tptp.k4_zfmisc_1 A B C D)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted) (G $$unsorted) (H $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (not (tptp.v1_xboole_0 B)) (not (tptp.v1_xboole_0 C)) (not (tptp.v1_xboole_0 D)) (tptp.m1_subset_1 E A) (tptp.m1_subset_1 F B) (tptp.m1_subset_1 G C) (tptp.m1_subset_1 H D)) (= (tptp.k5_domain_1 A B C D E F G H) (tptp.k4_mcart_1 E F G H)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.m1_subset_1 B A)) (tptp.m1_subset_1 (tptp.k6_domain_1 A B) (tptp.k1_zfmisc_1 A)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.m1_subset_1 B A)) (= (tptp.k6_domain_1 A B) (tptp.k1_tarski B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.m1_subset_1 B A) (tptp.m1_subset_1 C A)) (tptp.m1_subset_1 (tptp.k7_domain_1 A B C) (tptp.k1_zfmisc_1 A)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.m1_subset_1 B A) (tptp.m1_subset_1 C A)) (= (tptp.k7_domain_1 A B C) (tptp.k7_domain_1 A C B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.m1_subset_1 B A) (tptp.m1_subset_1 C A)) (= (tptp.k7_domain_1 A B C) (tptp.k2_tarski B C)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.m1_subset_1 B A) (tptp.m1_subset_1 C A) (tptp.m1_subset_1 D A)) (tptp.m1_subset_1 (tptp.k8_domain_1 A B C D) (tptp.k1_zfmisc_1 A)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.m1_subset_1 B A) (tptp.m1_subset_1 C A) (tptp.m1_subset_1 D A)) (= (tptp.k8_domain_1 A B C D) (tptp.k1_enumset1 B C D)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.m1_subset_1 B A) (tptp.m1_subset_1 C A) (tptp.m1_subset_1 D A) (tptp.m1_subset_1 E A)) (tptp.m1_subset_1 (tptp.k9_domain_1 A B C D E) (tptp.k1_zfmisc_1 A)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.m1_subset_1 B A) (tptp.m1_subset_1 C A) (tptp.m1_subset_1 D A) (tptp.m1_subset_1 E A)) (= (tptp.k9_domain_1 A B C D E) (tptp.k2_enumset1 B C D E)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.m1_subset_1 B A) (tptp.m1_subset_1 C A) (tptp.m1_subset_1 D A) (tptp.m1_subset_1 E A) (tptp.m1_subset_1 F A)) (tptp.m1_subset_1 (tptp.k10_domain_1 A B C D E F) (tptp.k1_zfmisc_1 A)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.m1_subset_1 B A) (tptp.m1_subset_1 C A) (tptp.m1_subset_1 D A) (tptp.m1_subset_1 E A) (tptp.m1_subset_1 F A)) (= (tptp.k10_domain_1 A B C D E F) (tptp.k3_enumset1 B C D E F)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted) (G $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.m1_subset_1 B A) (tptp.m1_subset_1 C A) (tptp.m1_subset_1 D A) (tptp.m1_subset_1 E A) (tptp.m1_subset_1 F A) (tptp.m1_subset_1 G A)) (tptp.m1_subset_1 (tptp.k11_domain_1 A B C D E F G) (tptp.k1_zfmisc_1 A)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted) (G $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.m1_subset_1 B A) (tptp.m1_subset_1 C A) (tptp.m1_subset_1 D A) (tptp.m1_subset_1 E A) (tptp.m1_subset_1 F A) (tptp.m1_subset_1 G A)) (= (tptp.k11_domain_1 A B C D E F G) (tptp.k4_enumset1 B C D E F G)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted) (G $$unsorted) (H $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.m1_subset_1 B A) (tptp.m1_subset_1 C A) (tptp.m1_subset_1 D A) (tptp.m1_subset_1 E A) (tptp.m1_subset_1 F A) (tptp.m1_subset_1 G A) (tptp.m1_subset_1 H A)) (tptp.m1_subset_1 (tptp.k12_domain_1 A B C D E F G H) (tptp.k1_zfmisc_1 A)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted) (G $$unsorted) (H $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.m1_subset_1 B A) (tptp.m1_subset_1 C A) (tptp.m1_subset_1 D A) (tptp.m1_subset_1 E A) (tptp.m1_subset_1 F A) (tptp.m1_subset_1 G A) (tptp.m1_subset_1 H A)) (= (tptp.k12_domain_1 A B C D E F G H) (tptp.k5_enumset1 B C D E F G H)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted) (G $$unsorted) (H $$unsorted) (I $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.m1_subset_1 B A) (tptp.m1_subset_1 C A) (tptp.m1_subset_1 D A) (tptp.m1_subset_1 E A) (tptp.m1_subset_1 F A) (tptp.m1_subset_1 G A) (tptp.m1_subset_1 H A) (tptp.m1_subset_1 I A)) (tptp.m1_subset_1 (tptp.k13_domain_1 A B C D E F G H I) (tptp.k1_zfmisc_1 A)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted) (G $$unsorted) (H $$unsorted) (I $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.m1_subset_1 B A) (tptp.m1_subset_1 C A) (tptp.m1_subset_1 D A) (tptp.m1_subset_1 E A) (tptp.m1_subset_1 F A) (tptp.m1_subset_1 G A) (tptp.m1_subset_1 H A) (tptp.m1_subset_1 I A)) (= (tptp.k13_domain_1 A B C D E F G H I) (tptp.k6_enumset1 B C D E F G H I)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (not (tptp.v1_xboole_0 B)) (not (tptp.v1_xboole_0 C)) (tptp.m1_subset_1 D (tptp.k2_zfmisc_1 (tptp.k2_zfmisc_1 A B) C))) (tptp.m1_subset_1 (tptp.k14_domain_1 A B C D) A))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (not (tptp.v1_xboole_0 B)) (not (tptp.v1_xboole_0 C)) (tptp.m1_subset_1 D (tptp.k2_zfmisc_1 (tptp.k2_zfmisc_1 A B) C))) (= (tptp.k14_domain_1 A B C D) (tptp.k17_mcart_1 D)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (not (tptp.v1_xboole_0 B)) (not (tptp.v1_xboole_0 C)) (tptp.m1_subset_1 D (tptp.k2_zfmisc_1 (tptp.k2_zfmisc_1 A B) C))) (tptp.m1_subset_1 (tptp.k15_domain_1 A B C D) B))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (not (tptp.v1_xboole_0 B)) (not (tptp.v1_xboole_0 C)) (tptp.m1_subset_1 D (tptp.k2_zfmisc_1 (tptp.k2_zfmisc_1 A B) C))) (= (tptp.k15_domain_1 A B C D) (tptp.k18_mcart_1 D)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (not (tptp.v1_xboole_0 B)) (not (tptp.v1_xboole_0 C)) (tptp.m1_subset_1 D (tptp.k2_zfmisc_1 A (tptp.k2_zfmisc_1 B C)))) (tptp.m1_subset_1 (tptp.k16_domain_1 A B C D) B))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (not (tptp.v1_xboole_0 B)) (not (tptp.v1_xboole_0 C)) (tptp.m1_subset_1 D (tptp.k2_zfmisc_1 A (tptp.k2_zfmisc_1 B C)))) (= (tptp.k16_domain_1 A B C D) (tptp.k19_mcart_1 D)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (not (tptp.v1_xboole_0 B)) (not (tptp.v1_xboole_0 C)) (tptp.m1_subset_1 D (tptp.k2_zfmisc_1 A (tptp.k2_zfmisc_1 B C)))) (tptp.m1_subset_1 (tptp.k17_domain_1 A B C D) C))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (not (tptp.v1_xboole_0 B)) (not (tptp.v1_xboole_0 C)) (tptp.m1_subset_1 D (tptp.k2_zfmisc_1 A (tptp.k2_zfmisc_1 B C)))) (= (tptp.k17_domain_1 A B C D) (tptp.k20_mcart_1 D)))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (= A (tptp.a_1_0_domain_1 A)))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (= (tptp.k2_zfmisc_1 A B) (tptp.a_2_0_domain_1 A B)))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (=> (not (tptp.v1_xboole_0 C)) (= (tptp.k3_zfmisc_1 A B C) (tptp.a_3_0_domain_1 A B C)))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (=> (not (tptp.v1_xboole_0 C)) (forall ((D $$unsorted)) (=> (not (tptp.v1_xboole_0 D)) (= (tptp.k4_zfmisc_1 A B C D) (tptp.a_4_0_domain_1 A B C D)))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (= B (tptp.a_2_1_domain_1 A B)))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 B)) (= (tptp.k12_mcart_1 A B C D) (tptp.a_4_1_domain_1 A B C D)))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (=> (not (tptp.v1_xboole_0 C)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 A)) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.k1_zfmisc_1 B)) (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F (tptp.k1_zfmisc_1 C)) (= (tptp.k13_mcart_1 A B C D E F) (tptp.a_6_0_domain_1 A B C D E F)))))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (=> (not (tptp.v1_xboole_0 C)) (forall ((D $$unsorted)) (=> (not (tptp.v1_xboole_0 D)) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.k1_zfmisc_1 A)) (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F (tptp.k1_zfmisc_1 B)) (forall ((G $$unsorted)) (=> (tptp.m1_subset_1 G (tptp.k1_zfmisc_1 C)) (forall ((H $$unsorted)) (=> (tptp.m1_subset_1 H (tptp.k1_zfmisc_1 D)) (= (tptp.k14_mcart_1 A B C D E F G H) (tptp.a_8_0_domain_1 A B C D E F G H)))))))))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (= (tptp.k1_subset_1 A) (tptp.a_1_1_domain_1 A)))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (= (tptp.k3_subset_1 A B) (tptp.a_2_2_domain_1 A B)))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 A)) (= (tptp.k5_subset_1 A B C) (tptp.a_3_1_domain_1 A B C)))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 A)) (= (tptp.k4_subset_1 A B C) (tptp.a_3_2_domain_1 A B C)))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 A)) (= (tptp.k6_subset_1 A B C) (tptp.a_3_3_domain_1 A B C)))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 A)) (= (tptp.k7_subset_1 A B C) (tptp.a_3_4_domain_1 A B C)))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 A)) (= (tptp.k7_subset_1 A B C) (tptp.a_3_5_domain_1 A B C)))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 A)) (= (tptp.k7_subset_1 A B C) (tptp.a_3_6_domain_1 A B C)))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 A)) (= (tptp.k7_subset_1 A B C) (tptp.a_3_7_domain_1 A B C)))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (tptp.m1_subset_1 (tptp.a_1_2_domain_1 A) (tptp.k1_zfmisc_1 A)))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (tptp.m1_subset_1 (tptp.a_2_3_domain_1 A B) (tptp.k1_zfmisc_1 (tptp.k2_zfmisc_1 A B))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (=> (not (tptp.v1_xboole_0 C)) (tptp.m1_subset_1 (tptp.a_3_8_domain_1 A B C) (tptp.k1_zfmisc_1 (tptp.k3_zfmisc_1 A B C))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (=> (not (tptp.v1_xboole_0 C)) (forall ((D $$unsorted)) (=> (not (tptp.v1_xboole_0 D)) (tptp.m1_subset_1 (tptp.a_4_2_domain_1 A B C D) (tptp.k1_zfmisc_1 (tptp.k4_zfmisc_1 A B C D))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (=> (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B A) (=> (tptp.p1_s5_domain_1 B) (tptp.p2_s5_domain_1 B)))) (tptp.r1_tarski (tptp.a_1_3_domain_1 A) (tptp.a_1_4_domain_1 A))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (=> (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B A) (= (tptp.p1_s6_domain_1 B) (tptp.p2_s6_domain_1 B)))) (= (tptp.a_1_5_domain_1 A) (tptp.a_1_6_domain_1 A))))) (tptp.m1_subset_1 tptp.a_0_0_domain_1 (tptp.k1_zfmisc_1 tptp.f1_s7_domain_1)) (tptp.m1_subset_1 tptp.a_0_1_domain_1 (tptp.k1_zfmisc_1 tptp.f2_s8_domain_1)) (tptp.m1_subset_1 tptp.a_0_2_domain_1 (tptp.k1_zfmisc_1 tptp.f3_s9_domain_1)) (= tptp.a_0_3_domain_1 (tptp.k3_xboole_0 tptp.a_0_4_domain_1 tptp.a_0_5_domain_1)) (forall ((A $$unsorted) (B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (= (tptp.r2_hidden A (tptp.a_1_0_domain_1 B)) (exists ((C $$unsorted)) (and (tptp.m1_subset_1 C B) (= A C)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (not (tptp.v1_xboole_0 C))) (= (tptp.r2_hidden A (tptp.a_2_0_domain_1 B C)) (exists ((D $$unsorted) (E $$unsorted)) (and (tptp.m1_subset_1 D B) (tptp.m1_subset_1 E C) (= A (tptp.k1_domain_1 B C D E))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (not (tptp.v1_xboole_0 C)) (not (tptp.v1_xboole_0 D))) (= (tptp.r2_hidden A (tptp.a_3_0_domain_1 B C D)) (exists ((E $$unsorted) (F $$unsorted) (G $$unsorted)) (and (tptp.m1_subset_1 E B) (tptp.m1_subset_1 F C) (tptp.m1_subset_1 G D) (= A (tptp.k4_domain_1 B C D E F G))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (not (tptp.v1_xboole_0 C)) (not (tptp.v1_xboole_0 D)) (not (tptp.v1_xboole_0 E))) (= (tptp.r2_hidden A (tptp.a_4_0_domain_1 B C D E)) (exists ((F $$unsorted) (G $$unsorted) (H $$unsorted) (I $$unsorted)) (and (tptp.m1_subset_1 F B) (tptp.m1_subset_1 G C) (tptp.m1_subset_1 H D) (tptp.m1_subset_1 I E) (= A (tptp.k5_domain_1 B C D E F G H I))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 B))) (= (tptp.r2_hidden A (tptp.a_2_1_domain_1 B C)) (exists ((D $$unsorted)) (and (tptp.m1_subset_1 D B) (= A D) (tptp.r2_hidden D C)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (not (tptp.v1_xboole_0 C)) (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 B)) (tptp.m1_subset_1 E (tptp.k1_zfmisc_1 C))) (= (tptp.r2_hidden A (tptp.a_4_1_domain_1 B C D E)) (exists ((F $$unsorted) (G $$unsorted)) (and (tptp.m1_subset_1 F B) (tptp.m1_subset_1 G C) (= A (tptp.k1_domain_1 B C F G)) (tptp.r2_hidden F D) (tptp.r2_hidden G E)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted) (G $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (not (tptp.v1_xboole_0 C)) (not (tptp.v1_xboole_0 D)) (tptp.m1_subset_1 E (tptp.k1_zfmisc_1 B)) (tptp.m1_subset_1 F (tptp.k1_zfmisc_1 C)) (tptp.m1_subset_1 G (tptp.k1_zfmisc_1 D))) (= (tptp.r2_hidden A (tptp.a_6_0_domain_1 B C D E F G)) (exists ((H $$unsorted) (I $$unsorted) (J $$unsorted)) (and (tptp.m1_subset_1 H B) (tptp.m1_subset_1 I C) (tptp.m1_subset_1 J D) (= A (tptp.k4_domain_1 B C D H I J)) (tptp.r2_hidden H E) (tptp.r2_hidden I F) (tptp.r2_hidden J G)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted) (G $$unsorted) (H $$unsorted) (I $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (not (tptp.v1_xboole_0 C)) (not (tptp.v1_xboole_0 D)) (not (tptp.v1_xboole_0 E)) (tptp.m1_subset_1 F (tptp.k1_zfmisc_1 B)) (tptp.m1_subset_1 G (tptp.k1_zfmisc_1 C)) (tptp.m1_subset_1 H (tptp.k1_zfmisc_1 D)) (tptp.m1_subset_1 I (tptp.k1_zfmisc_1 E))) (= (tptp.r2_hidden A (tptp.a_8_0_domain_1 B C D E F G H I)) (exists ((J $$unsorted) (K $$unsorted) (L $$unsorted) (M $$unsorted)) (and (tptp.m1_subset_1 J B) (tptp.m1_subset_1 K C) (tptp.m1_subset_1 L D) (tptp.m1_subset_1 M E) (= A (tptp.k5_domain_1 B C D E J K L M)) (tptp.r2_hidden J F) (tptp.r2_hidden K G) (tptp.r2_hidden L H) (tptp.r2_hidden M I)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (= (tptp.r2_hidden A (tptp.a_1_1_domain_1 B)) (exists ((C $$unsorted)) (and (tptp.m1_subset_1 C B) (= A C) (not true)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 B))) (= (tptp.r2_hidden A (tptp.a_2_2_domain_1 B C)) (exists ((D $$unsorted)) (and (tptp.m1_subset_1 D B) (= A D) (not (tptp.r2_hidden D C))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 B))) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.m1_subset_1 C _let_1) (tptp.m1_subset_1 D _let_1)) (= (tptp.r2_hidden A (tptp.a_3_1_domain_1 B C D)) (exists ((E $$unsorted)) (and (tptp.m1_subset_1 E B) (= A E) (tptp.r2_hidden E C) (tptp.r2_hidden E D))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 B))) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.m1_subset_1 C _let_1) (tptp.m1_subset_1 D _let_1)) (= (tptp.r2_hidden A (tptp.a_3_2_domain_1 B C D)) (exists ((E $$unsorted)) (and (tptp.m1_subset_1 E B) (= A E) (or (tptp.r2_hidden E C) (tptp.r2_hidden E D)))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 B))) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.m1_subset_1 C _let_1) (tptp.m1_subset_1 D _let_1)) (= (tptp.r2_hidden A (tptp.a_3_3_domain_1 B C D)) (exists ((E $$unsorted)) (and (tptp.m1_subset_1 E B) (= A E) (tptp.r2_hidden E C) (not (tptp.r2_hidden E D)))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 B))) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.m1_subset_1 C _let_1) (tptp.m1_subset_1 D _let_1)) (= (tptp.r2_hidden A (tptp.a_3_4_domain_1 B C D)) (exists ((E $$unsorted)) (let ((_let_1 (tptp.r2_hidden E D))) (let ((_let_2 (tptp.r2_hidden E C))) (and (tptp.m1_subset_1 E B) (= A E) (or (and _let_2 (not _let_1)) (and (not _let_2) _let_1)))))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 B))) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.m1_subset_1 C _let_1) (tptp.m1_subset_1 D _let_1)) (= (tptp.r2_hidden A (tptp.a_3_5_domain_1 B C D)) (exists ((E $$unsorted)) (and (tptp.m1_subset_1 E B) (= A E) (= (not (tptp.r2_hidden E C)) (tptp.r2_hidden E D)))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 B))) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.m1_subset_1 C _let_1) (tptp.m1_subset_1 D _let_1)) (= (tptp.r2_hidden A (tptp.a_3_6_domain_1 B C D)) (exists ((E $$unsorted)) (and (tptp.m1_subset_1 E B) (= A E) (= (tptp.r2_hidden E C) (not (tptp.r2_hidden E D))))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 B))) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.m1_subset_1 C _let_1) (tptp.m1_subset_1 D _let_1)) (= (tptp.r2_hidden A (tptp.a_3_7_domain_1 B C D)) (exists ((E $$unsorted)) (and (tptp.m1_subset_1 E B) (= A E) (not (= (tptp.r2_hidden E C) (tptp.r2_hidden E D))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (= (tptp.r2_hidden A (tptp.a_1_2_domain_1 B)) (exists ((C $$unsorted)) (and (tptp.m1_subset_1 C B) (= A C) (tptp.p1_s1_domain_1 C)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (not (tptp.v1_xboole_0 C))) (= (tptp.r2_hidden A (tptp.a_2_3_domain_1 B C)) (exists ((D $$unsorted) (E $$unsorted)) (and (tptp.m1_subset_1 D B) (tptp.m1_subset_1 E C) (= A (tptp.k1_domain_1 B C D E)) (tptp.p1_s2_domain_1 D E)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (not (tptp.v1_xboole_0 C)) (not (tptp.v1_xboole_0 D))) (= (tptp.r2_hidden A (tptp.a_3_8_domain_1 B C D)) (exists ((E $$unsorted) (F $$unsorted) (G $$unsorted)) (and (tptp.m1_subset_1 E B) (tptp.m1_subset_1 F C) (tptp.m1_subset_1 G D) (= A (tptp.k4_domain_1 B C D E F G)) (tptp.p1_s3_domain_1 E F G)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (not (tptp.v1_xboole_0 C)) (not (tptp.v1_xboole_0 D)) (not (tptp.v1_xboole_0 E))) (= (tptp.r2_hidden A (tptp.a_4_2_domain_1 B C D E)) (exists ((F $$unsorted) (G $$unsorted) (H $$unsorted) (I $$unsorted)) (and (tptp.m1_subset_1 F B) (tptp.m1_subset_1 G C) (tptp.m1_subset_1 H D) (tptp.m1_subset_1 I E) (= A (tptp.k5_domain_1 B C D E F G H I)) (tptp.p1_s4_domain_1 F G H I)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (= (tptp.r2_hidden A (tptp.a_1_3_domain_1 B)) (exists ((C $$unsorted)) (and (tptp.m1_subset_1 C B) (= A C) (tptp.p1_s5_domain_1 C)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (= (tptp.r2_hidden A (tptp.a_1_4_domain_1 B)) (exists ((C $$unsorted)) (and (tptp.m1_subset_1 C B) (= A C) (tptp.p2_s5_domain_1 C)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (= (tptp.r2_hidden A (tptp.a_1_5_domain_1 B)) (exists ((C $$unsorted)) (and (tptp.m1_subset_1 C B) (= A C) (tptp.p1_s6_domain_1 C)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (= (tptp.r2_hidden A (tptp.a_1_6_domain_1 B)) (exists ((C $$unsorted)) (and (tptp.m1_subset_1 C B) (= A C) (tptp.p2_s6_domain_1 C)))))) (forall ((A $$unsorted)) (= (tptp.r2_hidden A tptp.a_0_0_domain_1) (exists ((B $$unsorted)) (and (tptp.m1_subset_1 B tptp.f1_s7_domain_1) (= A B) (tptp.p1_s7_domain_1 B))))) (forall ((A $$unsorted)) (= (tptp.r2_hidden A tptp.a_0_1_domain_1) (exists ((B $$unsorted)) (and (tptp.m1_subset_1 B tptp.f1_s8_domain_1) (= A (tptp.f3_s8_domain_1 B)) (tptp.p1_s8_domain_1 B))))) (forall ((A $$unsorted)) (= (tptp.r2_hidden A tptp.a_0_2_domain_1) (exists ((B $$unsorted) (C $$unsorted)) (and (tptp.m1_subset_1 B tptp.f1_s9_domain_1) (tptp.m1_subset_1 C tptp.f2_s9_domain_1) (= A (tptp.f4_s9_domain_1 B C)) (tptp.p1_s9_domain_1 B C))))) (forall ((A $$unsorted)) (= (tptp.r2_hidden A tptp.a_0_3_domain_1) (exists ((B $$unsorted)) (and (tptp.m1_subset_1 B tptp.f1_s10_domain_1) (= A B) (tptp.p1_s10_domain_1 B) (tptp.p2_s10_domain_1 B))))) (forall ((A $$unsorted)) (= (tptp.r2_hidden A tptp.a_0_4_domain_1) (exists ((B $$unsorted)) (and (tptp.m1_subset_1 B tptp.f1_s10_domain_1) (= A B) (tptp.p1_s10_domain_1 B))))) (forall ((A $$unsorted)) (= (tptp.r2_hidden A tptp.a_0_5_domain_1) (exists ((B $$unsorted)) (and (tptp.m1_subset_1 B tptp.f1_s10_domain_1) (= A B) (tptp.p2_s10_domain_1 B))))) (forall ((A $$unsorted) (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 $$unsorted)) (=> (tptp.v3_ordinal1 B) (=> (tptp.r2_hidden B tptp.f1_s3_ordinal2) (= (tptp.k1_funct_1 A B) (tptp.f2_s3_ordinal2 B))))))) (=> (and (= (tptp.k1_relat_1 tptp.f5_s4_ordinal2) tptp.f1_s4_ordinal2) (=> _let_23 (= (tptp.k1_funct_1 tptp.f5_s4_ordinal2 tptp.k1_xboole_0) tptp.f2_s4_ordinal2)) (forall ((A $$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 $$unsorted)) (=> (tptp.v3_ordinal1 A) (=> (and (tptp.r2_hidden A tptp.f1_s4_ordinal2) (tptp.v4_ordinal1 A)) (or (= A tptp.k1_xboole_0) (= (tptp.k1_funct_1 tptp.f5_s4_ordinal2 A) (tptp.f4_s4_ordinal2 A (tptp.k2_ordinal1 tptp.f5_s4_ordinal2 A))))))) (= (tptp.k1_relat_1 tptp.f6_s4_ordinal2) tptp.f1_s4_ordinal2) (=> _let_23 (= (tptp.k1_funct_1 tptp.f6_s4_ordinal2 tptp.k1_xboole_0) tptp.f2_s4_ordinal2)) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k1_ordinal1 A))) (=> (tptp.v3_ordinal1 A) (=> (tptp.r2_hidden _let_1 tptp.f1_s4_ordinal2) (= (tptp.k1_funct_1 tptp.f6_s4_ordinal2 _let_1) (tptp.f3_s4_ordinal2 A (tptp.k1_funct_1 tptp.f6_s4_ordinal2 A))))))) (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (=> (and (tptp.r2_hidden A tptp.f1_s4_ordinal2) (tptp.v4_ordinal1 A)) (or (= A tptp.k1_xboole_0) (= (tptp.k1_funct_1 tptp.f6_s4_ordinal2 A) (tptp.f4_s4_ordinal2 A (tptp.k2_ordinal1 tptp.f6_s4_ordinal2 A)))))))) (= tptp.f5_s4_ordinal2 tptp.f6_s4_ordinal2)) (exists ((A $$unsorted)) (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v5_ordinal1 A) (= (tptp.k1_relat_1 A) tptp.f1_s5_ordinal2) (=> (tptp.r2_hidden tptp.k1_xboole_0 tptp.f1_s5_ordinal2) (= (tptp.k1_funct_1 A tptp.k1_xboole_0) tptp.f2_s5_ordinal2)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k1_ordinal1 B))) (=> (tptp.v3_ordinal1 B) (=> (tptp.r2_hidden _let_1 tptp.f1_s5_ordinal2) (= (tptp.k1_funct_1 A _let_1) (tptp.f3_s5_ordinal2 B (tptp.k1_funct_1 A B))))))) (forall ((B $$unsorted)) (=> (tptp.v3_ordinal1 B) (=> (and (tptp.r2_hidden B tptp.f1_s5_ordinal2) (tptp.v4_ordinal1 B)) (or (= B tptp.k1_xboole_0) (= (tptp.k1_funct_1 A B) (tptp.f4_s5_ordinal2 B (tptp.k2_ordinal1 A B))))))))) (=> (and (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (forall ((B $$unsorted)) (= (= B (tptp.f2_s6_ordinal2 A)) (exists ((C $$unsorted)) (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C) (tptp.v5_ordinal1 C) (= B (tptp.k1_ordinal2 C)) (= (tptp.k1_relat_1 C) (tptp.k1_ordinal1 A)) (= (tptp.k1_funct_1 C tptp.k1_xboole_0) tptp.f4_s6_ordinal2) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k1_ordinal1 D))) (=> (tptp.v3_ordinal1 D) (=> (tptp.r2_hidden _let_1 (tptp.k1_ordinal1 A)) (= (tptp.k1_funct_1 C _let_1) (tptp.f5_s6_ordinal2 D (tptp.k1_funct_1 C D))))))) (forall ((D $$unsorted)) (=> (tptp.v3_ordinal1 D) (=> (and (tptp.r2_hidden D (tptp.k1_ordinal1 A)) (tptp.v4_ordinal1 D)) (or (= D tptp.k1_xboole_0) (= (tptp.k1_funct_1 C D) (tptp.f6_s6_ordinal2 D (tptp.k2_ordinal1 C D))))))))))))) (= (tptp.k1_relat_1 tptp.f1_s6_ordinal2) tptp.f3_s6_ordinal2) (=> (tptp.r2_hidden tptp.k1_xboole_0 tptp.f3_s6_ordinal2) (= (tptp.k1_funct_1 tptp.f1_s6_ordinal2 tptp.k1_xboole_0) tptp.f4_s6_ordinal2)) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k1_ordinal1 A))) (=> (tptp.v3_ordinal1 A) (=> (tptp.r2_hidden _let_1 tptp.f3_s6_ordinal2) (= (tptp.k1_funct_1 tptp.f1_s6_ordinal2 _let_1) (tptp.f5_s6_ordinal2 A (tptp.k1_funct_1 tptp.f1_s6_ordinal2 A))))))) (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (=> (and (tptp.r2_hidden A tptp.f3_s6_ordinal2) (tptp.v4_ordinal1 A)) (or (= A tptp.k1_xboole_0) (= (tptp.k1_funct_1 tptp.f1_s6_ordinal2 A) (tptp.f6_s6_ordinal2 A (tptp.k2_ordinal1 tptp.f1_s6_ordinal2 A)))))))) (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (=> (tptp.r2_hidden A (tptp.k1_relat_1 tptp.f1_s6_ordinal2)) (= (tptp.k1_funct_1 tptp.f1_s6_ordinal2 A) (tptp.f2_s6_ordinal2 A)))))) (and (exists ((A $$unsorted) (B $$unsorted)) (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (tptp.v5_ordinal1 B) (= A (tptp.k1_ordinal2 B)) (= (tptp.k1_relat_1 B) (tptp.k1_ordinal1 tptp.f1_s7_ordinal2)) (= (tptp.k1_funct_1 B tptp.k1_xboole_0) tptp.f2_s7_ordinal2) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k1_ordinal1 C))) (=> (tptp.v3_ordinal1 C) (=> (tptp.r2_hidden _let_1 (tptp.k1_ordinal1 tptp.f1_s7_ordinal2)) (= (tptp.k1_funct_1 B _let_1) (tptp.f3_s7_ordinal2 C (tptp.k1_funct_1 B C))))))) (forall ((C $$unsorted)) (=> (tptp.v3_ordinal1 C) (=> (and (tptp.r2_hidden C (tptp.k1_ordinal1 tptp.f1_s7_ordinal2)) (tptp.v4_ordinal1 C)) (or (= C tptp.k1_xboole_0) (= (tptp.k1_funct_1 B C) (tptp.f4_s7_ordinal2 C (tptp.k2_ordinal1 B C))))))))) (forall ((A $$unsorted) (B $$unsorted)) (not (and (exists ((C $$unsorted)) (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C) (tptp.v5_ordinal1 C) (= A (tptp.k1_ordinal2 C)) (= (tptp.k1_relat_1 C) (tptp.k1_ordinal1 tptp.f1_s7_ordinal2)) (= (tptp.k1_funct_1 C tptp.k1_xboole_0) tptp.f2_s7_ordinal2) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k1_ordinal1 D))) (=> (tptp.v3_ordinal1 D) (=> (tptp.r2_hidden _let_1 (tptp.k1_ordinal1 tptp.f1_s7_ordinal2)) (= (tptp.k1_funct_1 C _let_1) (tptp.f3_s7_ordinal2 D (tptp.k1_funct_1 C D))))))) (forall ((D $$unsorted)) (=> (tptp.v3_ordinal1 D) (=> (and (tptp.r2_hidden D (tptp.k1_ordinal1 tptp.f1_s7_ordinal2)) (tptp.v4_ordinal1 D)) (or (= D tptp.k1_xboole_0) (= (tptp.k1_funct_1 C D) (tptp.f4_s7_ordinal2 D (tptp.k2_ordinal1 C D))))))))) (exists ((C $$unsorted)) (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C) (tptp.v5_ordinal1 C) (= B (tptp.k1_ordinal2 C)) (= (tptp.k1_relat_1 C) (tptp.k1_ordinal1 tptp.f1_s7_ordinal2)) (= (tptp.k1_funct_1 C tptp.k1_xboole_0) tptp.f2_s7_ordinal2) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k1_ordinal1 D))) (=> (tptp.v3_ordinal1 D) (=> (tptp.r2_hidden _let_1 (tptp.k1_ordinal1 tptp.f1_s7_ordinal2)) (= (tptp.k1_funct_1 C _let_1) (tptp.f3_s7_ordinal2 D (tptp.k1_funct_1 C D))))))) (forall ((D $$unsorted)) (=> (tptp.v3_ordinal1 D) (=> (and (tptp.r2_hidden D (tptp.k1_ordinal1 tptp.f1_s7_ordinal2)) (tptp.v4_ordinal1 D)) (or (= D tptp.k1_xboole_0) (= (tptp.k1_funct_1 C D) (tptp.f4_s7_ordinal2 D (tptp.k2_ordinal1 C D))))))))) (not (= A B)))))) (=> (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (forall ((B $$unsorted)) (= (= B (tptp.f1_s8_ordinal2 A)) (exists ((C $$unsorted)) (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C) (tptp.v5_ordinal1 C) (= B (tptp.k1_ordinal2 C)) (= (tptp.k1_relat_1 C) (tptp.k1_ordinal1 A)) (= (tptp.k1_funct_1 C tptp.k1_xboole_0) tptp.f2_s8_ordinal2) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k1_ordinal1 D))) (=> (tptp.v3_ordinal1 D) (=> (tptp.r2_hidden _let_1 (tptp.k1_ordinal1 A)) (= (tptp.k1_funct_1 C _let_1) (tptp.f3_s8_ordinal2 D (tptp.k1_funct_1 C D))))))) (forall ((D $$unsorted)) (=> (tptp.v3_ordinal1 D) (=> (and (tptp.r2_hidden D (tptp.k1_ordinal1 A)) (tptp.v4_ordinal1 D)) (or (= D tptp.k1_xboole_0) (= (tptp.k1_funct_1 C D) (tptp.f4_s8_ordinal2 D (tptp.k2_ordinal1 C D))))))))))))) (= (tptp.f1_s8_ordinal2 tptp.k1_xboole_0) tptp.f2_s8_ordinal2)) (=> (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (forall ((B $$unsorted)) (= (= B (tptp.f4_s9_ordinal2 A)) (exists ((C $$unsorted)) (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C) (tptp.v5_ordinal1 C) (= B (tptp.k1_ordinal2 C)) (= (tptp.k1_relat_1 C) (tptp.k1_ordinal1 A)) (= (tptp.k1_funct_1 C tptp.k1_xboole_0) tptp.f1_s9_ordinal2) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k1_ordinal1 D))) (=> (tptp.v3_ordinal1 D) (=> (tptp.r2_hidden _let_1 (tptp.k1_ordinal1 A)) (= (tptp.k1_funct_1 C _let_1) (tptp.f2_s9_ordinal2 D (tptp.k1_funct_1 C D))))))) (forall ((D $$unsorted)) (=> (tptp.v3_ordinal1 D) (=> (and (tptp.r2_hidden D (tptp.k1_ordinal1 A)) (tptp.v4_ordinal1 D)) (or (= D tptp.k1_xboole_0) (= (tptp.k1_funct_1 C D) (tptp.f3_s9_ordinal2 D (tptp.k2_ordinal1 C D))))))))))))) (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (= (tptp.f4_s9_ordinal2 (tptp.k1_ordinal1 A)) (tptp.f2_s9_ordinal2 A (tptp.f4_s9_ordinal2 A)))))) (=> (and (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (forall ((B $$unsorted)) (= (= B (tptp.f3_s10_ordinal2 A)) (exists ((C $$unsorted)) (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C) (tptp.v5_ordinal1 C) (= B (tptp.k1_ordinal2 C)) (= (tptp.k1_relat_1 C) (tptp.k1_ordinal1 A)) (= (tptp.k1_funct_1 C tptp.k1_xboole_0) tptp.f4_s10_ordinal2) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k1_ordinal1 D))) (=> (tptp.v3_ordinal1 D) (=> (tptp.r2_hidden _let_1 (tptp.k1_ordinal1 A)) (= (tptp.k1_funct_1 C _let_1) (tptp.f5_s10_ordinal2 D (tptp.k1_funct_1 C D))))))) (forall ((D $$unsorted)) (=> (tptp.v3_ordinal1 D) (=> (and (tptp.r2_hidden D (tptp.k1_ordinal1 A)) (tptp.v4_ordinal1 D)) (or (= D tptp.k1_xboole_0) (= (tptp.k1_funct_1 C D) (tptp.f6_s10_ordinal2 D (tptp.k2_ordinal1 C D))))))))))))) (not (= tptp.f2_s10_ordinal2 tptp.k1_xboole_0)) (tptp.v4_ordinal1 tptp.f2_s10_ordinal2) (= (tptp.k1_relat_1 tptp.f1_s10_ordinal2) tptp.f2_s10_ordinal2) (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (=> (tptp.r2_hidden A tptp.f2_s10_ordinal2) (= (tptp.k1_funct_1 tptp.f1_s10_ordinal2 A) (tptp.f3_s10_ordinal2 A)))))) (= (tptp.f3_s10_ordinal2 tptp.f2_s10_ordinal2) (tptp.f6_s10_ordinal2 tptp.f2_s10_ordinal2 tptp.f1_s10_ordinal2))) (exists ((A $$unsorted)) (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v5_ordinal1 A) (tptp.v1_ordinal2 A) (= (tptp.k1_relat_1 A) tptp.f1_s11_ordinal2) (=> (tptp.r2_hidden tptp.k1_xboole_0 tptp.f1_s11_ordinal2) (= (tptp.k1_funct_1 A tptp.k1_xboole_0) tptp.f2_s11_ordinal2)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k1_ordinal1 B))) (=> (tptp.v3_ordinal1 B) (=> (tptp.r2_hidden _let_1 tptp.f1_s11_ordinal2) (= (tptp.k1_funct_1 A _let_1) (tptp.f3_s11_ordinal2 B (tptp.k1_funct_1 A B))))))) (forall ((B $$unsorted)) (=> (tptp.v3_ordinal1 B) (=> (and (tptp.r2_hidden B tptp.f1_s11_ordinal2) (tptp.v4_ordinal1 B)) (or (= B tptp.k1_xboole_0) (= (tptp.k1_funct_1 A B) (tptp.f4_s11_ordinal2 B (tptp.k2_ordinal1 A B))))))))) (=> (and (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (forall ((B $$unsorted)) (=> (tptp.v3_ordinal1 B) (= (= B (tptp.f2_s12_ordinal2 A)) (exists ((C $$unsorted)) (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C) (tptp.v5_ordinal1 C) (tptp.v1_ordinal2 C) (= B (tptp.k1_ordinal2 C)) (= (tptp.k1_relat_1 C) (tptp.k1_ordinal1 A)) (= (tptp.k1_funct_1 C tptp.k1_xboole_0) tptp.f4_s12_ordinal2) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k1_ordinal1 D))) (=> (tptp.v3_ordinal1 D) (=> (tptp.r2_hidden _let_1 (tptp.k1_ordinal1 A)) (= (tptp.k1_funct_1 C _let_1) (tptp.f5_s12_ordinal2 D (tptp.k1_funct_1 C D))))))) (forall ((D $$unsorted)) (=> (tptp.v3_ordinal1 D) (=> (and (tptp.r2_hidden D (tptp.k1_ordinal1 A)) (tptp.v4_ordinal1 D)) (or (= D tptp.k1_xboole_0) (= (tptp.k1_funct_1 C D) (tptp.f6_s12_ordinal2 D (tptp.k2_ordinal1 C D)))))))))))))) (= (tptp.k1_relat_1 tptp.f1_s12_ordinal2) tptp.f3_s12_ordinal2) (=> (tptp.r2_hidden tptp.k1_xboole_0 tptp.f3_s12_ordinal2) (= (tptp.k1_funct_1 tptp.f1_s12_ordinal2 tptp.k1_xboole_0) tptp.f4_s12_ordinal2)) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k1_ordinal1 A))) (=> (tptp.v3_ordinal1 A) (=> (tptp.r2_hidden _let_1 tptp.f3_s12_ordinal2) (= (tptp.k1_funct_1 tptp.f1_s12_ordinal2 _let_1) (tptp.f5_s12_ordinal2 A (tptp.k1_funct_1 tptp.f1_s12_ordinal2 A))))))) (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (=> (and (tptp.r2_hidden A tptp.f3_s12_ordinal2) (tptp.v4_ordinal1 A)) (or (= A tptp.k1_xboole_0) (= (tptp.k1_funct_1 tptp.f1_s12_ordinal2 A) (tptp.f6_s12_ordinal2 A (tptp.k2_ordinal1 tptp.f1_s12_ordinal2 A)))))))) (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (=> (tptp.r2_hidden A (tptp.k1_relat_1 tptp.f1_s12_ordinal2)) (= (tptp.k1_funct_1 tptp.f1_s12_ordinal2 A) (tptp.f2_s12_ordinal2 A)))))) (and (exists ((A $$unsorted)) (and (tptp.v3_ordinal1 A) (exists ((B $$unsorted)) (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (tptp.v5_ordinal1 B) (tptp.v1_ordinal2 B) (= A (tptp.k1_ordinal2 B)) (= (tptp.k1_relat_1 B) (tptp.k1_ordinal1 tptp.f1_s13_ordinal2)) (= (tptp.k1_funct_1 B tptp.k1_xboole_0) tptp.f2_s13_ordinal2) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k1_ordinal1 C))) (=> (tptp.v3_ordinal1 C) (=> (tptp.r2_hidden _let_1 (tptp.k1_ordinal1 tptp.f1_s13_ordinal2)) (= (tptp.k1_funct_1 B _let_1) (tptp.f3_s13_ordinal2 C (tptp.k1_funct_1 B C))))))) (forall ((C $$unsorted)) (=> (tptp.v3_ordinal1 C) (=> (and (tptp.r2_hidden C (tptp.k1_ordinal1 tptp.f1_s13_ordinal2)) (tptp.v4_ordinal1 C)) (or (= C tptp.k1_xboole_0) (= (tptp.k1_funct_1 B C) (tptp.f4_s13_ordinal2 C (tptp.k2_ordinal1 B C))))))))))) (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (forall ((B $$unsorted)) (=> (tptp.v3_ordinal1 B) (not (and (exists ((C $$unsorted)) (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C) (tptp.v5_ordinal1 C) (tptp.v1_ordinal2 C) (= A (tptp.k1_ordinal2 C)) (= (tptp.k1_relat_1 C) (tptp.k1_ordinal1 tptp.f1_s13_ordinal2)) (= (tptp.k1_funct_1 C tptp.k1_xboole_0) tptp.f2_s13_ordinal2) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k1_ordinal1 D))) (=> (tptp.v3_ordinal1 D) (=> (tptp.r2_hidden _let_1 (tptp.k1_ordinal1 tptp.f1_s13_ordinal2)) (= (tptp.k1_funct_1 C _let_1) (tptp.f3_s13_ordinal2 D (tptp.k1_funct_1 C D))))))) (forall ((D $$unsorted)) (=> (tptp.v3_ordinal1 D) (=> (and (tptp.r2_hidden D (tptp.k1_ordinal1 tptp.f1_s13_ordinal2)) (tptp.v4_ordinal1 D)) (or (= D tptp.k1_xboole_0) (= (tptp.k1_funct_1 C D) (tptp.f4_s13_ordinal2 D (tptp.k2_ordinal1 C D))))))))) (exists ((C $$unsorted)) (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C) (tptp.v5_ordinal1 C) (tptp.v1_ordinal2 C) (= B (tptp.k1_ordinal2 C)) (= (tptp.k1_relat_1 C) (tptp.k1_ordinal1 tptp.f1_s13_ordinal2)) (= (tptp.k1_funct_1 C tptp.k1_xboole_0) tptp.f2_s13_ordinal2) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k1_ordinal1 D))) (=> (tptp.v3_ordinal1 D) (=> (tptp.r2_hidden _let_1 (tptp.k1_ordinal1 tptp.f1_s13_ordinal2)) (= (tptp.k1_funct_1 C _let_1) (tptp.f3_s13_ordinal2 D (tptp.k1_funct_1 C D))))))) (forall ((D $$unsorted)) (=> (tptp.v3_ordinal1 D) (=> (and (tptp.r2_hidden D (tptp.k1_ordinal1 tptp.f1_s13_ordinal2)) (tptp.v4_ordinal1 D)) (or (= D tptp.k1_xboole_0) (= (tptp.k1_funct_1 C D) (tptp.f4_s13_ordinal2 D (tptp.k2_ordinal1 C D))))))))) (not (= A B))))))))) (=> (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (forall ((B $$unsorted)) (=> (tptp.v3_ordinal1 B) (= (= B (tptp.f1_s14_ordinal2 A)) (exists ((C $$unsorted)) (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C) (tptp.v5_ordinal1 C) (tptp.v1_ordinal2 C) (= B (tptp.k1_ordinal2 C)) (= (tptp.k1_relat_1 C) (tptp.k1_ordinal1 A)) (= (tptp.k1_funct_1 C tptp.k1_xboole_0) tptp.f2_s14_ordinal2) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k1_ordinal1 D))) (=> (tptp.v3_ordinal1 D) (=> (tptp.r2_hidden _let_1 (tptp.k1_ordinal1 A)) (= (tptp.k1_funct_1 C _let_1) (tptp.f3_s14_ordinal2 D (tptp.k1_funct_1 C D))))))) (forall ((D $$unsorted)) (=> (tptp.v3_ordinal1 D) (=> (and (tptp.r2_hidden D (tptp.k1_ordinal1 A)) (tptp.v4_ordinal1 D)) (or (= D tptp.k1_xboole_0) (= (tptp.k1_funct_1 C D) (tptp.f4_s14_ordinal2 D (tptp.k2_ordinal1 C D)))))))))))))) (= (tptp.f1_s14_ordinal2 tptp.k1_xboole_0) tptp.f2_s14_ordinal2)) (=> (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (forall ((B $$unsorted)) (=> (tptp.v3_ordinal1 B) (= (= B (tptp.f4_s15_ordinal2 A)) (exists ((C $$unsorted)) (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C) (tptp.v5_ordinal1 C) (tptp.v1_ordinal2 C) (= B (tptp.k1_ordinal2 C)) (= (tptp.k1_relat_1 C) (tptp.k1_ordinal1 A)) (= (tptp.k1_funct_1 C tptp.k1_xboole_0) tptp.f1_s15_ordinal2) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k1_ordinal1 D))) (=> (tptp.v3_ordinal1 D) (=> (tptp.r2_hidden _let_1 (tptp.k1_ordinal1 A)) (= (tptp.k1_funct_1 C _let_1) (tptp.f2_s15_ordinal2 D (tptp.k1_funct_1 C D))))))) (forall ((D $$unsorted)) (=> (tptp.v3_ordinal1 D) (=> (and (tptp.r2_hidden D (tptp.k1_ordinal1 A)) (tptp.v4_ordinal1 D)) (or (= D tptp.k1_xboole_0) (= (tptp.k1_funct_1 C D) (tptp.f3_s15_ordinal2 D (tptp.k2_ordinal1 C D)))))))))))))) (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (= (tptp.f4_s15_ordinal2 (tptp.k1_ordinal1 A)) (tptp.f2_s15_ordinal2 A (tptp.f4_s15_ordinal2 A)))))) (=> (and (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (forall ((B $$unsorted)) (=> (tptp.v3_ordinal1 B) (= (= B (tptp.f3_s16_ordinal2 A)) (exists ((C $$unsorted)) (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C) (tptp.v5_ordinal1 C) (tptp.v1_ordinal2 C) (= B (tptp.k1_ordinal2 C)) (= (tptp.k1_relat_1 C) (tptp.k1_ordinal1 A)) (= (tptp.k1_funct_1 C tptp.k1_xboole_0) tptp.f4_s16_ordinal2) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k1_ordinal1 D))) (=> (tptp.v3_ordinal1 D) (=> (tptp.r2_hidden _let_1 (tptp.k1_ordinal1 A)) (= (tptp.k1_funct_1 C _let_1) (tptp.f5_s16_ordinal2 D (tptp.k1_funct_1 C D))))))) (forall ((D $$unsorted)) (=> (tptp.v3_ordinal1 D) (=> (and (tptp.r2_hidden D (tptp.k1_ordinal1 A)) (tptp.v4_ordinal1 D)) (or (= D tptp.k1_xboole_0) (= (tptp.k1_funct_1 C D) (tptp.f6_s16_ordinal2 D (tptp.k2_ordinal1 C D)))))))))))))) (not (= tptp.f2_s16_ordinal2 tptp.k1_xboole_0)) (tptp.v4_ordinal1 tptp.f2_s16_ordinal2) (= (tptp.k1_relat_1 tptp.f1_s16_ordinal2) tptp.f2_s16_ordinal2) (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (=> (tptp.r2_hidden A tptp.f2_s16_ordinal2) (= (tptp.k1_funct_1 tptp.f1_s16_ordinal2 A) (tptp.f3_s16_ordinal2 A)))))) (= (tptp.f3_s16_ordinal2 tptp.f2_s16_ordinal2) (tptp.f6_s16_ordinal2 tptp.f2_s16_ordinal2 tptp.f1_s16_ordinal2))) true true true (and (tptp.v3_ordinal1 tptp.k4_ordinal2) (not (tptp.v1_xboole_0 tptp.k4_ordinal2))) true (forall ((A $$unsorted)) (tptp.v3_ordinal1 (tptp.k6_ordinal2 A))) (forall ((A $$unsorted)) (tptp.v3_ordinal1 (tptp.k7_ordinal2 A))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v5_ordinal1 A)) (tptp.v3_ordinal1 (tptp.k8_ordinal2 A)))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v5_ordinal1 A)) (tptp.v3_ordinal1 (tptp.k9_ordinal2 A)))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v5_ordinal1 A)) (tptp.v3_ordinal1 (tptp.k10_ordinal2 A)))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v5_ordinal1 A)) (tptp.v3_ordinal1 (tptp.k11_ordinal2 A)))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v5_ordinal1 A) (tptp.v1_ordinal2 A)) (tptp.v3_ordinal1 (tptp.k12_ordinal2 A)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v3_ordinal1 A) (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (tptp.v5_ordinal1 B) (tptp.v1_ordinal2 B)) (tptp.v3_ordinal1 (tptp.k13_ordinal2 A B)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v3_ordinal1 A) (tptp.v3_ordinal1 B)) (tptp.v3_ordinal1 (tptp.k14_ordinal2 A B)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v3_ordinal1 A) (tptp.v3_ordinal1 B)) (tptp.v3_ordinal1 (tptp.k15_ordinal2 A B)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v3_ordinal1 A) (tptp.v3_ordinal1 B)) (tptp.v3_ordinal1 (tptp.k16_ordinal2 A B)))) (exists ((A $$unsorted)) (and (not (tptp.v1_xboole_0 A)) (tptp.v1_finset_1 A))) (forall ((A $$unsorted)) (=> (tptp.v1_xboole_0 A) (tptp.v1_finset_1 A))) (forall ((A $$unsorted)) (exists ((B $$unsorted)) (and (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (tptp.v1_xboole_0 B) (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (tptp.v2_funct_1 B) (tptp.v1_ordinal1 B) (tptp.v2_ordinal1 B) (tptp.v3_ordinal1 B) (tptp.v4_ordinal2 B) (tptp.v1_finset_1 B)))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k1_tarski A))) (and (not (tptp.v1_xboole_0 _let_1)) (tptp.v1_finset_1 _let_1)))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (exists ((B $$unsorted)) (and (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (not (tptp.v1_xboole_0 B)) (tptp.v1_finset_1 B))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k2_tarski A B))) (and (not (tptp.v1_xboole_0 _let_1)) (tptp.v1_finset_1 _let_1)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (tptp.v1_finset_1 (tptp.k1_enumset1 A B C))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (tptp.v1_finset_1 (tptp.k2_enumset1 A B C D))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (tptp.v1_finset_1 (tptp.k3_enumset1 A B C D E))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted)) (tptp.v1_finset_1 (tptp.k4_enumset1 A B C D E F))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted) (G $$unsorted)) (tptp.v1_finset_1 (tptp.k5_enumset1 A B C D E F G))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted) (G $$unsorted) (H $$unsorted)) (tptp.v1_finset_1 (tptp.k6_enumset1 A B C D E F G H))) (forall ((A $$unsorted)) (=> (tptp.v1_finset_1 A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (tptp.v1_finset_1 B))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_finset_1 A) (tptp.v1_finset_1 B)) (tptp.v1_finset_1 (tptp.k2_xboole_0 A B)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.v1_finset_1 B) (tptp.v1_finset_1 (tptp.k3_xboole_0 A B)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.v1_finset_1 A) (tptp.v1_finset_1 (tptp.k3_xboole_0 A B)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.v1_finset_1 A) (tptp.v1_finset_1 (tptp.k4_xboole_0 A B)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_finset_1 B)) (tptp.v1_finset_1 (tptp.k9_relat_1 A B)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_finset_1 A) (tptp.v1_finset_1 B)) (tptp.v1_finset_1 (tptp.k2_zfmisc_1 A B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_finset_1 A) (tptp.v1_finset_1 B) (tptp.v1_finset_1 C)) (tptp.v1_finset_1 (tptp.k3_zfmisc_1 A B C)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.v1_finset_1 A) (tptp.v1_finset_1 B) (tptp.v1_finset_1 C) (tptp.v1_finset_1 D)) (tptp.v1_finset_1 (tptp.k4_zfmisc_1 A B C D)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_finset_1 A) (tptp.v1_finset_1 B)) (tptp.v1_finset_1 (tptp.k5_xboole_0 A B)))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (exists ((B $$unsorted)) (and (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (not (tptp.v1_xboole_0 B)) (tptp.v1_finset_1 B))))) (forall ((A $$unsorted)) (= (tptp.v1_finset_1 A) (exists ((B $$unsorted)) (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (= (tptp.k2_relat_1 B) A) (tptp.r2_hidden (tptp.k1_relat_1 B) tptp.k5_ordinal2))))) true true true true true true true true true true true true (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.r1_tarski A B) (tptp.v1_finset_1 B)) (tptp.v1_finset_1 A))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_finset_1 A) (tptp.v1_finset_1 B)) (tptp.v1_finset_1 (tptp.k2_xboole_0 A B)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.v1_finset_1 A) (tptp.v1_finset_1 (tptp.k3_xboole_0 A B)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.v1_finset_1 A) (tptp.v1_finset_1 (tptp.k4_xboole_0 A B)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (=> (tptp.v1_finset_1 A) (tptp.v1_finset_1 (tptp.k9_relat_1 B A))))) (forall ((A $$unsorted)) (=> (tptp.v1_finset_1 A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 A))) (not (and (not (= B tptp.k1_xboole_0)) (forall ((C $$unsorted)) (not (and (tptp.r2_hidden C B) (forall ((D $$unsorted)) (=> (and (tptp.r2_hidden D B) (tptp.r1_tarski C D)) (= D C)))))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_finset_1 A) (tptp.v1_finset_1 B)) (tptp.v1_finset_1 (tptp.k2_zfmisc_1 A B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_finset_1 A) (tptp.v1_finset_1 B) (tptp.v1_finset_1 C)) (tptp.v1_finset_1 (tptp.k3_zfmisc_1 A B C)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.v1_finset_1 A) (tptp.v1_finset_1 B) (tptp.v1_finset_1 C) (tptp.v1_finset_1 D)) (tptp.v1_finset_1 (tptp.k4_zfmisc_1 A B C D)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.v1_finset_1 (tptp.k2_zfmisc_1 B A)) (or (= A tptp.k1_xboole_0) (tptp.v1_finset_1 B)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.v1_finset_1 (tptp.k2_zfmisc_1 A B)) (or (= A tptp.k1_xboole_0) (tptp.v1_finset_1 B)))) (forall ((A $$unsorted)) (= (tptp.v1_finset_1 A) (tptp.v1_finset_1 (tptp.k1_zfmisc_1 A)))) (forall ((A $$unsorted)) (= (and (tptp.v1_finset_1 A) (forall ((B $$unsorted)) (=> (tptp.r2_hidden B A) (tptp.v1_finset_1 B)))) (tptp.v1_finset_1 (tptp.k3_tarski A)))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (=> (tptp.v1_finset_1 (tptp.k1_relat_1 A)) (tptp.v1_finset_1 (tptp.k2_relat_1 A))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (=> (and (tptp.r1_tarski A (tptp.k2_relat_1 B)) (tptp.v1_finset_1 (tptp.k10_relat_1 B A))) (tptp.v1_finset_1 A)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_finset_1 A) (tptp.v1_finset_1 B)) (tptp.v1_finset_1 (tptp.k5_xboole_0 A B)))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (= (tptp.v1_finset_1 (tptp.k1_relat_1 A)) (tptp.v1_finset_1 A)))) (forall ((A $$unsorted)) (not (and (tptp.v1_finset_1 A) (not (= A tptp.k1_xboole_0)) (tptp.v6_ordinal1 A) (forall ((B $$unsorted)) (not (and (tptp.r2_hidden B A) (forall ((C $$unsorted)) (=> (tptp.r2_hidden C A) (tptp.r1_tarski B C))))))))) (forall ((A $$unsorted)) (not (and (tptp.v1_finset_1 A) (not (= A tptp.k1_xboole_0)) (tptp.v6_ordinal1 A) (forall ((B $$unsorted)) (not (and (tptp.r2_hidden B A) (forall ((C $$unsorted)) (=> (tptp.r2_hidden C A) (tptp.r1_tarski C B))))))))) (exists ((A $$unsorted)) (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (= (tptp.k1_relat_1 A) tptp.f1_s1_finset_1) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k1_funct_1 A B))) (let ((_let_2 (tptp.p1_s1_finset_1 B))) (=> (tptp.v3_ordinal1 B) (=> (tptp.r2_hidden B tptp.f1_s1_finset_1) (and (=> _let_2 (= _let_1 (tptp.f2_s1_finset_1 B))) (=> (not _let_2) (= _let_1 (tptp.f3_s1_finset_1 B))))))))))) (=> (and (tptp.v1_finset_1 tptp.f1_s2_finset_1) (tptp.p1_s2_finset_1 tptp.k1_xboole_0) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.r2_hidden A tptp.f1_s2_finset_1) (tptp.r1_tarski B tptp.f1_s2_finset_1) (tptp.p1_s2_finset_1 B)) (tptp.p1_s2_finset_1 (tptp.k2_xboole_0 B (tptp.k1_tarski A)))))) (tptp.p1_s2_finset_1 tptp.f1_s2_finset_1)) (not (tptp.v1_xboole_0 tptp.k1_numbers)) (not (tptp.v1_xboole_0 tptp.k2_numbers)) (not (tptp.v1_xboole_0 tptp.k3_numbers)) (not (tptp.v1_xboole_0 tptp.k4_numbers)) (= tptp.k1_numbers (tptp.k4_xboole_0 (tptp.k2_xboole_0 tptp.k2_arytm_2 (tptp.k2_zfmisc_1 _let_22 tptp.k2_arytm_2)) _let_21)) (= tptp.k3_numbers (tptp.k4_xboole_0 (tptp.k2_xboole_0 tptp.k6_arytm_3 (tptp.k2_zfmisc_1 _let_22 tptp.k6_arytm_3)) _let_21)) (= tptp.k4_numbers (tptp.k4_xboole_0 (tptp.k2_xboole_0 tptp.k5_ordinal2 (tptp.k2_zfmisc_1 _let_22 tptp.k5_ordinal2)) _let_21)) (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)))) (exists ((A $$unsorted)) (and (tptp.m1_subset_1 A tptp.k1_numbers) (tptp.v1_xcmplx_0 A) (tptp.v1_xreal_0 A) (tptp.v1_int_1 A))) (exists ((A $$unsorted)) (tptp.v1_int_1 A)) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.k4_numbers) (tptp.v1_int_1 A))) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.k5_numbers) (and (tptp.v1_ordinal1 A) (tptp.v2_ordinal1 A) (tptp.v3_ordinal1 A) (tptp.v4_ordinal2 A) (tptp.v1_xcmplx_0 A) (tptp.v1_xreal_0 A) (not (tptp.v3_xreal_0 A)) (tptp.v1_int_1 A)))) (forall ((A $$unsorted)) (=> (tptp.v4_ordinal2 A) (tptp.v1_int_1 A))) (forall ((A $$unsorted)) (=> (tptp.v1_int_1 A) (and (tptp.v1_xcmplx_0 A) (tptp.v1_xreal_0 A)))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k2_xcmplx_0 A B))) (=> (and (tptp.v1_int_1 A) (tptp.v1_int_1 B)) (and (tptp.v1_xcmplx_0 _let_1) (tptp.v1_xreal_0 _let_1) (tptp.v1_int_1 _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k3_xcmplx_0 A B))) (=> (and (tptp.v1_int_1 A) (tptp.v1_int_1 B)) (and (tptp.v1_xcmplx_0 _let_1) (tptp.v1_xreal_0 _let_1) (tptp.v1_int_1 _let_1))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k4_xcmplx_0 A))) (=> (tptp.v1_int_1 A) (and (tptp.v1_xcmplx_0 _let_1) (tptp.v1_xreal_0 _let_1) (tptp.v1_int_1 _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k6_xcmplx_0 A B))) (=> (and (tptp.v1_int_1 A) (tptp.v1_int_1 B)) (and (tptp.v1_xcmplx_0 _let_1) (tptp.v1_xreal_0 _let_1) (tptp.v1_int_1 _let_1))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k4_xcmplx_0 A))) (=> (tptp.m1_subset_1 A tptp.k5_numbers) (and (tptp.v1_xcmplx_0 _let_1) (tptp.v1_xreal_0 _let_1) (not (tptp.v2_xreal_0 _let_1)) (tptp.v1_int_1 _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k2_xcmplx_0 B A))) (=> (and (tptp.m1_subset_1 A tptp.k5_numbers) (tptp.v1_int_1 B)) (and (tptp.v1_xcmplx_0 _let_1) (tptp.v1_xreal_0 _let_1) (tptp.v1_int_1 _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k3_xcmplx_0 B A))) (=> (and (tptp.m1_subset_1 A tptp.k5_numbers) (tptp.v1_int_1 B)) (and (tptp.v1_xcmplx_0 _let_1) (tptp.v1_xreal_0 _let_1) (tptp.v1_int_1 _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k6_xcmplx_0 B A))) (=> (and (tptp.m1_subset_1 A tptp.k5_numbers) (tptp.v1_int_1 B)) (and (tptp.v1_xcmplx_0 _let_1) (tptp.v1_xreal_0 _let_1) (tptp.v1_int_1 _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k6_xcmplx_0 A B))) (=> (and (tptp.m1_subset_1 A tptp.k5_numbers) (tptp.m1_subset_1 B tptp.k5_numbers)) (and (tptp.v1_xcmplx_0 _let_1) (tptp.v1_xreal_0 _let_1) (tptp.v1_int_1 _let_1))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k3_int_1 A))) (=> (tptp.v1_xreal_0 A) (and (tptp.v1_xcmplx_0 _let_1) (tptp.v1_xreal_0 _let_1))))) (forall ((A $$unsorted)) (= (= A tptp.k4_numbers) (forall ((B $$unsorted)) (= (tptp.r2_hidden B A) (not (forall ((C $$unsorted)) (=> (tptp.m2_subset_1 C tptp.k1_numbers tptp.k5_numbers) (and (not (= B C)) (not (= B (tptp.k1_real_1 C))))))))))) (forall ((A $$unsorted)) (= (tptp.v1_int_1 A) (tptp.r2_hidden A tptp.k4_numbers))) true true true true true true (forall ((A $$unsorted)) (=> (tptp.v1_xreal_0 A) (forall ((B $$unsorted)) (=> (tptp.v4_ordinal2 B) (=> (or (= A B) (= A (tptp.k4_xcmplx_0 B))) (tptp.v1_int_1 A)))))) (forall ((A $$unsorted)) (=> (tptp.v1_xreal_0 A) (not (and (tptp.v1_int_1 A) (forall ((B $$unsorted)) (=> (tptp.m2_subset_1 B tptp.k1_numbers tptp.k5_numbers) (and (not (= A B)) (not (= A (tptp.k1_real_1 B)))))))))) true true true true true true true (forall ((A $$unsorted)) (=> (tptp.v1_int_1 A) (=> (tptp.r1_xreal_0 tptp.np__0 A) (tptp.r2_hidden A tptp.k5_numbers)))) (forall ((A $$unsorted)) (=> (tptp.v1_xreal_0 A) (=> (tptp.v1_int_1 A) (and (tptp.v1_int_1 (tptp.k2_xcmplx_0 A tptp.np__1)) (tptp.v1_int_1 (tptp.k6_xcmplx_0 A tptp.np__1)))))) (forall ((A $$unsorted)) (=> (tptp.v1_int_1 A) (forall ((B $$unsorted)) (=> (tptp.v1_int_1 B) (=> (tptp.r1_xreal_0 A B) (tptp.r2_hidden (tptp.k6_xcmplx_0 B A) tptp.k5_numbers)))))) (forall ((A $$unsorted)) (=> (tptp.m2_subset_1 A tptp.k1_numbers tptp.k5_numbers) (forall ((B $$unsorted)) (=> (tptp.v1_int_1 B) (forall ((C $$unsorted)) (=> (tptp.v1_int_1 C) (=> (= (tptp.k2_xcmplx_0 B A) C) (tptp.r1_xreal_0 B C)))))))) (forall ((A $$unsorted)) (=> (tptp.v1_int_1 A) (forall ((B $$unsorted)) (=> (tptp.v1_int_1 B) (=> (not (tptp.r1_xreal_0 B A)) (tptp.r1_xreal_0 (tptp.k2_xcmplx_0 A tptp.np__1) B)))))) (forall ((A $$unsorted)) (=> (tptp.v1_int_1 A) (=> (not (tptp.r1_xreal_0 tptp.np__0 A)) (tptp.r1_xreal_0 A (tptp.k1_real_1 tptp.np__1))))) (forall ((A $$unsorted)) (=> (tptp.v1_int_1 A) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k1_real_1 tptp.np__1))) (=> (tptp.v1_int_1 B) (= (= (tptp.k3_xcmplx_0 A B) tptp.np__1) (or (and (= A tptp.np__1) (= B tptp.np__1)) (and (= A _let_1) (= B _let_1))))))))) (forall ((A $$unsorted)) (=> (tptp.v1_int_1 A) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k1_real_1 tptp.np__1))) (=> (tptp.v1_int_1 B) (= (= (tptp.k3_xcmplx_0 A B) _let_1) (or (and (= A _let_1) (= B tptp.np__1)) (and (= A tptp.np__1) (= B _let_1))))))))) (forall ((A $$unsorted)) (=> (tptp.v1_int_1 A) (forall ((B $$unsorted)) (=> (tptp.v1_int_1 B) (forall ((C $$unsorted)) (=> (tptp.v1_int_1 C) (= (tptp.r1_int_1 A B C) (exists ((D $$unsorted)) (and (tptp.v1_int_1 D) (= (tptp.k3_xcmplx_0 C D) (tptp.k6_xcmplx_0 A B))))))))))) true true true true true true true true (forall ((A $$unsorted)) (=> (tptp.v1_int_1 A) (forall ((B $$unsorted)) (=> (tptp.v1_int_1 B) (tptp.r1_int_1 A A B))))) (forall ((A $$unsorted)) (=> (tptp.v1_int_1 A) (and (tptp.r1_int_1 A tptp.np__0 A) (tptp.r1_int_1 tptp.np__0 A A)))) (forall ((A $$unsorted)) (=> (tptp.v1_int_1 A) (forall ((B $$unsorted)) (=> (tptp.v1_int_1 B) (tptp.r1_int_1 A B tptp.np__1))))) (forall ((A $$unsorted)) (=> (tptp.v1_int_1 A) (forall ((B $$unsorted)) (=> (tptp.v1_int_1 B) (forall ((C $$unsorted)) (=> (tptp.v1_int_1 C) (=> (tptp.r1_int_1 A B C) (tptp.r1_int_1 B A C)))))))) (forall ((A $$unsorted)) (=> (tptp.v1_int_1 A) (forall ((B $$unsorted)) (=> (tptp.v1_int_1 B) (forall ((C $$unsorted)) (=> (tptp.v1_int_1 C) (forall ((D $$unsorted)) (=> (tptp.v1_int_1 D) (=> (and (tptp.r1_int_1 A B C) (tptp.r1_int_1 B D C)) (tptp.r1_int_1 A D C)))))))))) (forall ((A $$unsorted)) (=> (tptp.v1_int_1 A) (forall ((B $$unsorted)) (=> (tptp.v1_int_1 B) (forall ((C $$unsorted)) (=> (tptp.v1_int_1 C) (forall ((D $$unsorted)) (=> (tptp.v1_int_1 D) (forall ((E $$unsorted)) (=> (tptp.v1_int_1 E) (=> (and (tptp.r1_int_1 A B C) (tptp.r1_int_1 D E C)) (tptp.r1_int_1 (tptp.k2_xcmplx_0 A D) (tptp.k2_xcmplx_0 B E) C)))))))))))) (forall ((A $$unsorted)) (=> (tptp.v1_int_1 A) (forall ((B $$unsorted)) (=> (tptp.v1_int_1 B) (forall ((C $$unsorted)) (=> (tptp.v1_int_1 C) (forall ((D $$unsorted)) (=> (tptp.v1_int_1 D) (forall ((E $$unsorted)) (=> (tptp.v1_int_1 E) (=> (and (tptp.r1_int_1 A B C) (tptp.r1_int_1 D E C)) (tptp.r1_int_1 (tptp.k6_xcmplx_0 A D) (tptp.k6_xcmplx_0 B E) C)))))))))))) (forall ((A $$unsorted)) (=> (tptp.v1_int_1 A) (forall ((B $$unsorted)) (=> (tptp.v1_int_1 B) (forall ((C $$unsorted)) (=> (tptp.v1_int_1 C) (forall ((D $$unsorted)) (=> (tptp.v1_int_1 D) (forall ((E $$unsorted)) (=> (tptp.v1_int_1 E) (=> (and (tptp.r1_int_1 A B C) (tptp.r1_int_1 D E C)) (tptp.r1_int_1 (tptp.k3_xcmplx_0 A D) (tptp.k3_xcmplx_0 B E) C)))))))))))) (forall ((A $$unsorted)) (=> (tptp.v1_int_1 A) (forall ((B $$unsorted)) (=> (tptp.v1_int_1 B) (forall ((C $$unsorted)) (=> (tptp.v1_int_1 C) (forall ((D $$unsorted)) (=> (tptp.v1_int_1 D) (= (tptp.r1_int_1 (tptp.k2_xcmplx_0 A B) C D) (tptp.r1_int_1 A (tptp.k6_xcmplx_0 C B) D)))))))))) (forall ((A $$unsorted)) (=> (tptp.v1_int_1 A) (forall ((B $$unsorted)) (=> (tptp.v1_int_1 B) (forall ((C $$unsorted)) (=> (tptp.v1_int_1 C) (forall ((D $$unsorted)) (=> (tptp.v1_int_1 D) (forall ((E $$unsorted)) (=> (tptp.v1_int_1 E) (=> (and (= (tptp.k3_xcmplx_0 A B) C) (tptp.r1_int_1 D E C)) (tptp.r1_int_1 D E A)))))))))))) (forall ((A $$unsorted)) (=> (tptp.v1_int_1 A) (forall ((B $$unsorted)) (=> (tptp.v1_int_1 B) (forall ((C $$unsorted)) (=> (tptp.v1_int_1 C) (= (tptp.r1_int_1 A B C) (tptp.r1_int_1 (tptp.k2_xcmplx_0 A C) B C)))))))) (forall ((A $$unsorted)) (=> (tptp.v1_int_1 A) (forall ((B $$unsorted)) (=> (tptp.v1_int_1 B) (forall ((C $$unsorted)) (=> (tptp.v1_int_1 C) (= (tptp.r1_int_1 A B C) (tptp.r1_int_1 (tptp.k6_xcmplx_0 A C) B C)))))))) (forall ((A $$unsorted)) (=> (tptp.v1_xreal_0 A) (forall ((B $$unsorted)) (=> (tptp.v1_int_1 B) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k6_xcmplx_0 A tptp.np__1))) (=> (tptp.v1_int_1 C) (=> (and (tptp.r1_xreal_0 B A) (tptp.r1_xreal_0 C A)) (or (tptp.r1_xreal_0 B _let_1) (tptp.r1_xreal_0 C _let_1) (= B C)))))))))) (forall ((A $$unsorted)) (=> (tptp.v1_xreal_0 A) (forall ((B $$unsorted)) (=> (tptp.v1_int_1 B) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k2_xcmplx_0 A tptp.np__1))) (=> (tptp.v1_int_1 C) (=> (and (tptp.r1_xreal_0 A B) (tptp.r1_xreal_0 A C)) (or (tptp.r1_xreal_0 _let_1 B) (tptp.r1_xreal_0 _let_1 C) (= B C)))))))))) (forall ((A $$unsorted)) (=> (tptp.v1_xreal_0 A) (forall ((B $$unsorted)) (=> (tptp.v1_int_1 B) (= (= B (tptp.k1_int_1 A)) (and (tptp.r1_xreal_0 B A) (not (tptp.r1_xreal_0 B (tptp.k6_xcmplx_0 A tptp.np__1))))))))) true (forall ((A $$unsorted)) (=> (tptp.v1_xreal_0 A) (= (= (tptp.k1_int_1 A) A) (tptp.v1_int_1 A)))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.r1_xreal_0 A (tptp.k1_int_1 A)))) (let ((_let_2 (tptp.v1_int_1 A))) (=> (tptp.v1_xreal_0 A) (and (not (and (not _let_1) _let_2)) (not (and (not _let_2) _let_1))))))) true (forall ((A $$unsorted)) (let ((_let_1 (tptp.k1_int_1 A))) (=> (tptp.v1_xreal_0 A) (and (not (tptp.r1_xreal_0 A (tptp.k6_xcmplx_0 _let_1 tptp.np__1))) (not (tptp.r1_xreal_0 (tptp.k2_xcmplx_0 A tptp.np__1) _let_1)))))) (forall ((A $$unsorted)) (=> (tptp.v1_xreal_0 A) (forall ((B $$unsorted)) (=> (tptp.v1_int_1 B) (= (tptp.k2_xcmplx_0 (tptp.k1_int_1 A) B) (tptp.k1_int_1 (tptp.k2_xcmplx_0 A B))))))) (forall ((A $$unsorted)) (=> (tptp.v1_xreal_0 A) (not (tptp.r1_xreal_0 (tptp.k2_xcmplx_0 (tptp.k1_int_1 A) tptp.np__1) A)))) (forall ((A $$unsorted)) (=> (tptp.v1_xreal_0 A) (forall ((B $$unsorted)) (=> (tptp.v1_int_1 B) (= (= B (tptp.k2_int_1 A)) (and (tptp.r1_xreal_0 A B) (not (tptp.r1_xreal_0 (tptp.k2_xcmplx_0 A tptp.np__1) B)))))))) true (forall ((A $$unsorted)) (=> (tptp.v1_xreal_0 A) (= (= (tptp.k2_int_1 A) A) (tptp.v1_int_1 A)))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.r1_xreal_0 (tptp.k2_int_1 A) A))) (let ((_let_2 (tptp.v1_int_1 A))) (=> (tptp.v1_xreal_0 A) (and (not (and (not _let_1) _let_2)) (not (and (not _let_2) _let_1))))))) true (forall ((A $$unsorted)) (let ((_let_1 (tptp.k2_int_1 A))) (=> (tptp.v1_xreal_0 A) (and (not (tptp.r1_xreal_0 _let_1 (tptp.k6_xcmplx_0 A tptp.np__1))) (not (tptp.r1_xreal_0 (tptp.k2_xcmplx_0 _let_1 tptp.np__1) A)))))) (forall ((A $$unsorted)) (=> (tptp.v1_xreal_0 A) (forall ((B $$unsorted)) (=> (tptp.v1_int_1 B) (= (tptp.k2_xcmplx_0 (tptp.k2_int_1 A) B) (tptp.k2_int_1 (tptp.k2_xcmplx_0 A B))))))) (forall ((A $$unsorted)) (=> (tptp.v1_xreal_0 A) (= (= (tptp.k1_int_1 A) (tptp.k2_int_1 A)) (tptp.v1_int_1 A)))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.r1_xreal_0 (tptp.k2_int_1 A) (tptp.k1_int_1 A)))) (let ((_let_2 (tptp.v1_int_1 A))) (=> (tptp.v1_xreal_0 A) (and (not (and (not _let_1) _let_2)) (not (and (not _let_2) _let_1))))))) (forall ((A $$unsorted)) (=> (tptp.v1_xreal_0 A) (tptp.r1_xreal_0 (tptp.k1_int_1 A) (tptp.k2_int_1 A)))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k2_int_1 A))) (=> (tptp.v1_xreal_0 A) (= (tptp.k1_int_1 _let_1) _let_1)))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k1_int_1 A))) (=> (tptp.v1_xreal_0 A) (= (tptp.k1_int_1 _let_1) _let_1)))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k2_int_1 A))) (=> (tptp.v1_xreal_0 A) (= (tptp.k2_int_1 _let_1) _let_1)))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k1_int_1 A))) (=> (tptp.v1_xreal_0 A) (= (tptp.k2_int_1 _let_1) _let_1)))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k2_int_1 A))) (let ((_let_2 (tptp.k1_int_1 A))) (=> (tptp.v1_xreal_0 A) (= (= _let_2 _let_1) (not (= (tptp.k2_xcmplx_0 _let_2 tptp.np__1) _let_1))))))) (forall ((A $$unsorted)) (=> (tptp.v1_xreal_0 A) (= (tptp.k3_int_1 A) (tptp.k6_xcmplx_0 A (tptp.k1_int_1 A))))) true (forall ((A $$unsorted)) (=> (tptp.v1_xreal_0 A) (= A (tptp.k2_xcmplx_0 (tptp.k1_int_1 A) (tptp.k4_int_1 A))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k4_int_1 A))) (=> (tptp.v1_xreal_0 A) (and (not (tptp.r1_xreal_0 tptp.np__1 _let_1)) (tptp.r1_xreal_0 tptp.np__0 _let_1))))) (forall ((A $$unsorted)) (=> (tptp.v1_xreal_0 A) (= (tptp.k1_int_1 (tptp.k4_int_1 A)) tptp.np__0))) (forall ((A $$unsorted)) (=> (tptp.v1_xreal_0 A) (= (= (tptp.k4_int_1 A) tptp.np__0) (tptp.v1_int_1 A)))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.r1_xreal_0 (tptp.k4_int_1 A) tptp.np__0))) (let ((_let_2 (tptp.v1_int_1 A))) (=> (tptp.v1_xreal_0 A) (and (not (and (not _let_1) _let_2)) (not (and (not _let_2) _let_1))))))) (forall ((A $$unsorted)) (=> (tptp.v1_int_1 A) (forall ((B $$unsorted)) (=> (tptp.v1_int_1 B) (= (tptp.k5_int_1 A B) (tptp.k1_int_1 (tptp.k7_xcmplx_0 A B))))))) (forall ((A $$unsorted)) (=> (tptp.v1_int_1 A) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k6_int_1 A B))) (let ((_let_2 (= B tptp.np__0))) (=> (tptp.v1_int_1 B) (and (=> (not _let_2) (= _let_1 (tptp.k6_xcmplx_0 A (tptp.k3_xcmplx_0 (tptp.k5_int_1 A B) B)))) (=> _let_2 (= _let_1 tptp.np__0))))))))) (forall ((A $$unsorted)) (=> (tptp.v1_int_1 A) (forall ((B $$unsorted)) (=> (tptp.v1_int_1 B) (= (tptp.r2_int_1 A B) (exists ((C $$unsorted)) (and (tptp.v1_int_1 C) (= B (tptp.k3_xcmplx_0 A C))))))))) true (forall ((A $$unsorted)) (=> (tptp.v1_xreal_0 A) (=> (not (= A tptp.np__0)) (= (tptp.k1_int_1 (tptp.k7_xcmplx_0 A A)) tptp.np__1)))) (forall ((A $$unsorted)) (=> (tptp.v1_int_1 A) (= (tptp.k5_int_1 A tptp.np__0) tptp.np__0))) (forall ((A $$unsorted)) (=> (tptp.v1_int_1 A) (=> (not (= A tptp.np__0)) (= (tptp.k5_int_1 A A) tptp.np__1)))) (forall ((A $$unsorted)) (=> (tptp.v1_int_1 A) (= (tptp.k6_int_1 A A) tptp.np__0))) (forall ((A $$unsorted)) (=> (tptp.m2_subset_1 A tptp.k1_numbers tptp.k5_numbers) (forall ((B $$unsorted)) (=> (tptp.v1_int_1 B) (not (and (not (tptp.r1_xreal_0 B A)) (forall ((C $$unsorted)) (=> (tptp.m2_subset_1 C tptp.k1_numbers tptp.k5_numbers) (not (and (= C (tptp.k6_xcmplx_0 B A)) (tptp.r1_xreal_0 tptp.np__1 C))))))))))) (forall ((A $$unsorted)) (=> (tptp.v1_int_1 A) (forall ((B $$unsorted)) (=> (tptp.v1_int_1 B) (=> (not (tptp.r1_xreal_0 B A)) (tptp.r1_xreal_0 A (tptp.k6_xcmplx_0 B tptp.np__1))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k1_int_1 A))) (let ((_let_2 (tptp.k2_int_1 A))) (=> (tptp.v1_xreal_0 A) (=> (tptp.r1_xreal_0 tptp.np__0 A) (and (tptp.r1_xreal_0 tptp.np__0 _let_2) (tptp.r1_xreal_0 tptp.np__0 _let_1) (tptp.m2_subset_1 _let_2 tptp.k1_numbers tptp.k5_numbers) (tptp.m2_subset_1 _let_1 tptp.k1_numbers tptp.k5_numbers))))))) (forall ((A $$unsorted)) (=> (tptp.v1_int_1 A) (forall ((B $$unsorted)) (=> (tptp.v1_xreal_0 B) (=> (tptp.r1_xreal_0 A B) (tptp.r1_xreal_0 A (tptp.k1_int_1 B))))))) (forall ((A $$unsorted)) (=> (tptp.v4_ordinal2 A) (forall ((B $$unsorted)) (=> (tptp.v4_ordinal2 B) (tptp.r1_xreal_0 tptp.np__0 (tptp.k5_int_1 A B)))))) (exists ((A $$unsorted)) (and (tptp.m1_subset_1 A (tptp.k1_zfmisc_1 tptp.k4_numbers)) (forall ((B $$unsorted)) (=> (tptp.v1_int_1 B) (= (tptp.r2_hidden B A) (tptp.p1_s1_int_1 B)))))) (=> (and (tptp.p1_s2_int_1 tptp.f1_s2_int_1) (forall ((A $$unsorted)) (=> (tptp.v1_int_1 A) (=> (and (tptp.r1_xreal_0 tptp.f1_s2_int_1 A) (tptp.p1_s2_int_1 A)) (tptp.p1_s2_int_1 (tptp.k2_xcmplx_0 A tptp.np__1)))))) (forall ((A $$unsorted)) (=> (tptp.v1_int_1 A) (=> (tptp.r1_xreal_0 tptp.f1_s2_int_1 A) (tptp.p1_s2_int_1 A))))) (=> (and (tptp.p1_s3_int_1 tptp.f1_s3_int_1) (forall ((A $$unsorted)) (=> (tptp.v1_int_1 A) (=> (and (tptp.r1_xreal_0 A tptp.f1_s3_int_1) (tptp.p1_s3_int_1 A)) (tptp.p1_s3_int_1 (tptp.k6_xcmplx_0 A tptp.np__1)))))) (forall ((A $$unsorted)) (=> (tptp.v1_int_1 A) (=> (tptp.r1_xreal_0 A tptp.f1_s3_int_1) (tptp.p1_s3_int_1 A))))) (=> (and (tptp.p1_s4_int_1 tptp.f1_s4_int_1) (forall ((A $$unsorted)) (=> (tptp.v1_int_1 A) (=> (tptp.p1_s4_int_1 A) (and (tptp.p1_s4_int_1 (tptp.k6_xcmplx_0 A tptp.np__1)) (tptp.p1_s4_int_1 (tptp.k2_xcmplx_0 A tptp.np__1))))))) (forall ((A $$unsorted)) (=> (tptp.v1_int_1 A) (tptp.p1_s4_int_1 A)))) (=> (and (forall ((A $$unsorted)) (=> (tptp.v1_int_1 A) (=> (tptp.p1_s5_int_1 A) (tptp.r1_xreal_0 tptp.f1_s5_int_1 A)))) (exists ((A $$unsorted)) (and (tptp.v1_int_1 A) (tptp.p1_s5_int_1 A)))) (exists ((A $$unsorted)) (and (tptp.v1_int_1 A) (tptp.p1_s5_int_1 A) (forall ((B $$unsorted)) (=> (tptp.v1_int_1 B) (=> (tptp.p1_s5_int_1 B) (tptp.r1_xreal_0 A B))))))) (=> (and (forall ((A $$unsorted)) (=> (tptp.v1_int_1 A) (=> (tptp.p1_s6_int_1 A) (tptp.r1_xreal_0 A tptp.f1_s6_int_1)))) (exists ((A $$unsorted)) (and (tptp.v1_int_1 A) (tptp.p1_s6_int_1 A)))) (exists ((A $$unsorted)) (and (tptp.v1_int_1 A) (tptp.p1_s6_int_1 A) (forall ((B $$unsorted)) (=> (tptp.v1_int_1 B) (=> (tptp.p1_s6_int_1 B) (tptp.r1_xreal_0 B A))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_int_1 A) (tptp.v1_int_1 B)) (tptp.r2_int_1 A A))) (forall ((A $$unsorted)) (=> (tptp.v1_xreal_0 A) (tptp.v1_int_1 (tptp.k1_int_1 A)))) (forall ((A $$unsorted)) (=> (tptp.v1_xreal_0 A) (tptp.v1_int_1 (tptp.k2_int_1 A)))) true (forall ((A $$unsorted)) (=> (tptp.v1_xreal_0 A) (tptp.m1_subset_1 (tptp.k4_int_1 A) tptp.k1_numbers))) (forall ((A $$unsorted)) (=> (tptp.v1_xreal_0 A) (= (tptp.k4_int_1 A) (tptp.k3_int_1 A)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_int_1 A) (tptp.v1_int_1 B)) (tptp.v1_int_1 (tptp.k5_int_1 A B)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_int_1 A) (tptp.v1_int_1 B)) (tptp.v1_int_1 (tptp.k6_int_1 A B)))) (exists ((A $$unsorted)) (tptp.v1_card_1 A)) (forall ((A $$unsorted)) (=> (tptp.v1_card_1 A) (and (tptp.v1_ordinal1 A) (tptp.v2_ordinal1 A) (tptp.v3_ordinal1 A)))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k3_card_1 A))) (=> (tptp.v3_ordinal1 A) (and (tptp.v1_ordinal1 _let_1) (tptp.v2_ordinal1 _let_1) (tptp.v3_ordinal1 _let_1) (tptp.v1_card_1 _let_1))))) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.k5_numbers) (and (tptp.v1_ordinal1 A) (tptp.v2_ordinal1 A) (tptp.v3_ordinal1 A) (tptp.v4_ordinal2 A) (tptp.v1_xcmplx_0 A) (tptp.v1_xreal_0 A) (not (tptp.v3_xreal_0 A)) (tptp.v1_card_1 A)))) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.k5_numbers) (and (tptp.v1_ordinal1 A) (tptp.v2_ordinal1 A) (tptp.v3_ordinal1 A) (tptp.v4_ordinal2 A) (tptp.v1_xcmplx_0 A) (tptp.v1_finset_1 A) (tptp.v1_xreal_0 A) (not (tptp.v3_xreal_0 A)) (tptp.v1_card_1 A)))) (exists ((A $$unsorted)) (and (tptp.v1_ordinal1 A) (tptp.v2_ordinal1 A) (tptp.v3_ordinal1 A) (tptp.v1_finset_1 A) (tptp.v1_card_1 A))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k1_card_1 A))) (=> (tptp.v1_finset_1 A) (and (tptp.v1_ordinal1 _let_1) (tptp.v2_ordinal1 _let_1) (tptp.v3_ordinal1 _let_1) (tptp.v1_finset_1 _let_1) (tptp.v1_card_1 _let_1))))) (forall ((A $$unsorted)) (= (tptp.v1_card_1 A) (exists ((B $$unsorted)) (and (tptp.v3_ordinal1 B) (= A B) (forall ((C $$unsorted)) (=> (tptp.v3_ordinal1 C) (=> (tptp.r2_wellord2 C B) (tptp.r1_ordinal1 B C)))))))) true true true (forall ((A $$unsorted)) (exists ((B $$unsorted)) (and (tptp.v3_ordinal1 B) (tptp.r2_wellord2 A B)))) true true true (forall ((A $$unsorted)) (=> (tptp.v1_card_1 A) (forall ((B $$unsorted)) (=> (tptp.v1_card_1 B) (= (= A B) (tptp.r2_wellord2 A B)))))) true true true true (forall ((A $$unsorted)) (=> (tptp.v1_card_1 A) (forall ((B $$unsorted)) (=> (tptp.v1_card_1 B) (= (tptp.r2_hidden A B) (and (tptp.r1_tarski A B) (not (= A B)))))))) (forall ((A $$unsorted)) (=> (tptp.v1_card_1 A) (forall ((B $$unsorted)) (=> (tptp.v1_card_1 B) (= (tptp.r2_hidden A B) (not (tptp.r1_tarski B A))))))) true true true (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.v1_card_1 B) (= (= B (tptp.k1_card_1 A)) (tptp.r2_wellord2 A B)))) true true true true true true (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.r2_wellord2 A B) (= (tptp.k1_card_1 A) (tptp.k1_card_1 B)))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (=> (tptp.v2_wellord1 A) (tptp.r2_wellord2 (tptp.k3_relat_1 A) (tptp.k2_wellord2 A))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.v1_card_1 B) (=> (tptp.r1_tarski A B) (tptp.r1_tarski (tptp.k1_card_1 A) B)))) (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (tptp.r1_ordinal1 (tptp.k1_card_1 A) A))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.v1_card_1 B) (=> (tptp.r2_hidden A B) (tptp.r2_hidden (tptp.k1_card_1 A) B)))) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.r1_tarski (tptp.k1_card_1 A) (tptp.k1_card_1 B)) (exists ((C $$unsorted)) (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C) (tptp.v2_funct_1 C) (= (tptp.k1_relat_1 C) A) (tptp.r1_tarski (tptp.k2_relat_1 C) B))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.r1_tarski A B) (tptp.r1_tarski (tptp.k1_card_1 A) (tptp.k1_card_1 B)))) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.r1_tarski (tptp.k1_card_1 A) (tptp.k1_card_1 B)) (exists ((C $$unsorted)) (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C) (= (tptp.k1_relat_1 C) B) (tptp.r1_tarski A (tptp.k2_relat_1 C)))))) (forall ((A $$unsorted)) (not (tptp.r2_wellord2 A (tptp.k1_zfmisc_1 A)))) (forall ((A $$unsorted)) (tptp.r2_hidden (tptp.k1_card_1 A) (tptp.k1_card_1 (tptp.k1_zfmisc_1 A)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.v1_card_1 B) (= (= B (tptp.k2_card_1 A)) (and (tptp.r2_hidden (tptp.k1_card_1 A) B) (forall ((C $$unsorted)) (=> (tptp.v1_card_1 C) (=> (tptp.r2_hidden (tptp.k1_card_1 A) C) (tptp.r1_tarski B C)))))))) true (forall ((A $$unsorted)) (=> (tptp.v1_card_1 A) (tptp.r2_hidden A (tptp.k2_card_1 A)))) (forall ((A $$unsorted)) (tptp.r2_hidden (tptp.k1_card_1 tptp.k1_xboole_0) (tptp.k2_card_1 A))) (forall ((A $$unsorted) (B $$unsorted)) (=> (= (tptp.k1_card_1 A) (tptp.k1_card_1 B)) (= (tptp.k2_card_1 A) (tptp.k2_card_1 B)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.r2_wellord2 A B) (= (tptp.k2_card_1 A) (tptp.k2_card_1 B)))) (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (tptp.r2_hidden A (tptp.k2_card_1 A)))) (forall ((A $$unsorted)) (=> (tptp.v1_card_1 A) (= (tptp.v2_card_1 A) (forall ((B $$unsorted)) (=> (tptp.v1_card_1 B) (not (= A (tptp.k2_card_1 B)))))))) (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (forall ((B $$unsorted)) (= (= B (tptp.k3_card_1 A)) (exists ((C $$unsorted)) (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C) (tptp.v5_ordinal1 C) (= B (tptp.k1_ordinal2 C)) (= (tptp.k1_relat_1 C) (tptp.k1_ordinal1 A)) (= (tptp.k1_funct_1 C tptp.k1_xboole_0) (tptp.k1_card_1 tptp.k5_numbers)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k1_ordinal1 D))) (=> (tptp.v3_ordinal1 D) (=> (tptp.r2_hidden _let_1 (tptp.k1_ordinal1 A)) (= (tptp.k1_funct_1 C _let_1) (tptp.k2_card_1 (tptp.k3_tarski (tptp.k1_tarski (tptp.k1_funct_1 C D))))))))) (forall ((D $$unsorted)) (=> (tptp.v3_ordinal1 D) (=> (and (tptp.r2_hidden D (tptp.k1_ordinal1 A)) (tptp.v4_ordinal1 D)) (or (= D tptp.k1_xboole_0) (= (tptp.k1_funct_1 C D) (tptp.k1_card_1 (tptp.k8_ordinal2 (tptp.k2_ordinal1 C D)))))))))))))) true (= _let_20 (tptp.k1_card_1 tptp.k5_numbers)) (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (= (tptp.k3_card_1 (tptp.k1_ordinal1 A)) (tptp.k2_card_1 (tptp.k3_card_1 A))))) (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (=> (tptp.v4_ordinal1 A) (or (= A tptp.k1_xboole_0) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (tptp.v5_ordinal1 B)) (=> (and (= (tptp.k1_relat_1 B) A) (forall ((C $$unsorted)) (=> (tptp.v3_ordinal1 C) (=> (tptp.r2_hidden C A) (= (tptp.k1_funct_1 B C) (tptp.k3_card_1 C)))))) (= (tptp.k3_card_1 A) (tptp.k1_card_1 (tptp.k8_ordinal2 B)))))))))) (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (forall ((B $$unsorted)) (=> (tptp.v3_ordinal1 B) (= (tptp.r2_hidden A B) (tptp.r2_hidden (tptp.k3_card_1 A) (tptp.k3_card_1 B))))))) (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (forall ((B $$unsorted)) (=> (tptp.v3_ordinal1 B) (=> (= (tptp.k3_card_1 A) (tptp.k3_card_1 B)) (= A B)))))) (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (forall ((B $$unsorted)) (=> (tptp.v3_ordinal1 B) (= (tptp.r1_ordinal1 A B) (tptp.r1_tarski (tptp.k3_card_1 A) (tptp.k3_card_1 B))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.r1_tarski A B) (tptp.r1_tarski B C) (tptp.r2_wellord2 A C)) (and (tptp.r2_wellord2 A B) (tptp.r2_wellord2 B C)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.r1_tarski (tptp.k1_zfmisc_1 A) B) (and (tptp.r2_hidden (tptp.k1_card_1 A) (tptp.k1_card_1 B)) (not (tptp.r2_wellord2 A B))))) (forall ((A $$unsorted)) (= (tptp.r2_wellord2 A tptp.k1_xboole_0) (= A tptp.k1_xboole_0))) (= (tptp.k1_card_1 tptp.k1_xboole_0) tptp.k1_xboole_0) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.r2_wellord2 A (tptp.k1_tarski B)) (exists ((C $$unsorted)) (= A (tptp.k1_tarski C))))) (forall ((A $$unsorted) (B $$unsorted)) (= (= (tptp.k1_card_1 A) (tptp.k1_card_1 (tptp.k1_tarski B))) (exists ((C $$unsorted)) (= A (tptp.k1_tarski C))))) (forall ((A $$unsorted)) (= (tptp.k1_card_1 (tptp.k1_tarski A)) tptp.k4_ordinal2)) (= tptp.np__0 tptp.k1_xboole_0) (forall ((A $$unsorted)) (=> (tptp.m2_subset_1 A tptp.k1_numbers tptp.k5_numbers) (= (tptp.k1_ordinal1 A) (tptp.k1_nat_1 A tptp.np__1)))) true true true (forall ((A $$unsorted)) (=> (tptp.m2_subset_1 A tptp.k1_numbers tptp.k5_numbers) (forall ((B $$unsorted)) (=> (tptp.m2_subset_1 B tptp.k1_numbers tptp.k5_numbers) (= (tptp.r1_xreal_0 A B) (tptp.r1_ordinal1 A B)))))) true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.r1_xboole_0 A B) (tptp.r1_xboole_0 C D) (tptp.r2_wellord2 A C) (tptp.r2_wellord2 B D)) (tptp.r2_wellord2 (tptp.k2_xboole_0 A B) (tptp.k2_xboole_0 C D)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.r2_hidden A B) (tptp.r2_hidden C B)) (tptp.r2_wellord2 (tptp.k4_xboole_0 B (tptp.k1_tarski A)) (tptp.k4_xboole_0 B (tptp.k1_tarski C))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (=> (and (tptp.r1_tarski A (tptp.k1_relat_1 B)) (tptp.v2_funct_1 B)) (tptp.r2_wellord2 A (tptp.k9_relat_1 B A))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.r2_wellord2 A B) (tptp.r2_hidden C A) (tptp.r2_hidden D B)) (tptp.r2_wellord2 (tptp.k4_xboole_0 A (tptp.k1_tarski C)) (tptp.k4_xboole_0 B (tptp.k1_tarski D))))) true true (forall ((A $$unsorted)) (=> (tptp.m2_subset_1 A tptp.k1_numbers tptp.k5_numbers) (forall ((B $$unsorted)) (=> (tptp.m2_subset_1 B tptp.k1_numbers tptp.k5_numbers) (=> (tptp.r2_wellord2 A B) (= A B)))))) (forall ((A $$unsorted)) (=> (tptp.r2_hidden A tptp.k5_ordinal2) (tptp.v1_card_1 A))) (forall ((A $$unsorted)) (=> (tptp.m2_subset_1 A tptp.k1_numbers tptp.k5_numbers) (= A (tptp.k1_card_1 A)))) true (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.r2_wellord2 A B) (tptp.v1_finset_1 A)) (tptp.v1_finset_1 B))) (forall ((A $$unsorted)) (=> (tptp.m2_subset_1 A tptp.k1_numbers tptp.k5_numbers) (and (tptp.v1_finset_1 A) (tptp.v1_finset_1 (tptp.k1_card_1 A))))) true (forall ((A $$unsorted)) (=> (tptp.m2_subset_1 A tptp.k1_numbers tptp.k5_numbers) (forall ((B $$unsorted)) (=> (tptp.m2_subset_1 B tptp.k1_numbers tptp.k5_numbers) (=> (= (tptp.k1_card_1 A) (tptp.k1_card_1 B)) (= A B)))))) (forall ((A $$unsorted)) (=> (tptp.m2_subset_1 A tptp.k1_numbers tptp.k5_numbers) (forall ((B $$unsorted)) (=> (tptp.m2_subset_1 B tptp.k1_numbers tptp.k5_numbers) (= (tptp.r1_tarski (tptp.k1_card_1 A) (tptp.k1_card_1 B)) (tptp.r1_xreal_0 A B)))))) (forall ((A $$unsorted)) (=> (tptp.m2_subset_1 A tptp.k1_numbers tptp.k5_numbers) (forall ((B $$unsorted)) (=> (tptp.m2_subset_1 B tptp.k1_numbers tptp.k5_numbers) (= (tptp.r2_hidden (tptp.k1_card_1 A) (tptp.k1_card_1 B)) (not (tptp.r1_xreal_0 B A))))))) (forall ((A $$unsorted)) (not (and (tptp.v1_finset_1 A) (forall ((B $$unsorted)) (=> (tptp.m2_subset_1 B tptp.k1_numbers tptp.k5_numbers) (not (tptp.r2_wellord2 A B))))))) true (forall ((A $$unsorted)) (=> (tptp.m2_subset_1 A tptp.k1_numbers tptp.k5_numbers) (= (tptp.k2_card_1 (tptp.k1_card_1 A)) (tptp.k1_card_1 (tptp.k1_nat_1 A tptp.np__1))))) true true (forall ((A $$unsorted)) (=> (tptp.v1_finset_1 A) (forall ((B $$unsorted)) (=> (tptp.m2_subset_1 B tptp.k1_numbers tptp.k5_numbers) (= (= B (tptp.k4_card_1 A)) (= (tptp.k1_card_1 B) (tptp.k1_card_1 A))))))) true (= (tptp.k4_card_1 tptp.k1_xboole_0) tptp.np__0) (forall ((A $$unsorted)) (= (tptp.k4_card_1 (tptp.k1_tarski A)) tptp.np__1)) (forall ((A $$unsorted)) (=> (tptp.v1_finset_1 A) (forall ((B $$unsorted)) (=> (tptp.v1_finset_1 B) (=> (tptp.r1_tarski A B) (tptp.r1_xreal_0 (tptp.k4_card_1 A) (tptp.k4_card_1 B))))))) (forall ((A $$unsorted)) (=> (tptp.v1_finset_1 A) (forall ((B $$unsorted)) (=> (tptp.v1_finset_1 B) (=> (tptp.r2_wellord2 A B) (= (tptp.k4_card_1 A) (tptp.k4_card_1 B))))))) (forall ((A $$unsorted)) (=> (tptp.v1_finset_1 A) (tptp.v1_finset_1 (tptp.k2_card_1 A)))) (= _let_20 tptp.k5_ordinal2) (= _let_19 tptp.k5_ordinal2) (tptp.v2_card_1 _let_19) (forall ((A $$unsorted)) (=> (and (tptp.v1_finset_1 A) (tptp.v1_card_1 A)) (exists ((B $$unsorted)) (and (tptp.m2_subset_1 B tptp.k1_numbers tptp.k5_numbers) (= A (tptp.k1_card_1 B)))))) (=> (and (tptp.p1_s1_card_1 tptp.k1_xboole_0) (forall ((A $$unsorted)) (=> (tptp.v1_card_1 A) (=> (tptp.p1_s1_card_1 A) (tptp.p1_s1_card_1 (tptp.k2_card_1 A))))) (forall ((A $$unsorted)) (=> (tptp.v1_card_1 A) (=> (and (tptp.v2_card_1 A) (forall ((B $$unsorted)) (=> (tptp.v1_card_1 B) (=> (tptp.r2_hidden B A) (tptp.p1_s1_card_1 B))))) (or (= A tptp.k1_xboole_0) (tptp.p1_s1_card_1 A)))))) (forall ((A $$unsorted)) (=> (tptp.v1_card_1 A) (tptp.p1_s1_card_1 A)))) (=> (forall ((A $$unsorted)) (=> (tptp.v1_card_1 A) (=> (forall ((B $$unsorted)) (=> (tptp.v1_card_1 B) (=> (tptp.r2_hidden B A) (tptp.p1_s2_card_1 B)))) (tptp.p1_s2_card_1 A)))) (forall ((A $$unsorted)) (=> (tptp.v1_card_1 A) (tptp.p1_s2_card_1 A)))) (forall ((A $$unsorted)) (tptp.v1_card_1 (tptp.k1_card_1 A))) (forall ((A $$unsorted)) (tptp.v1_card_1 (tptp.k2_card_1 A))) true (forall ((A $$unsorted)) (=> (tptp.v1_finset_1 A) (tptp.m2_subset_1 (tptp.k4_card_1 A) tptp.k1_numbers tptp.k5_numbers))) (forall ((A $$unsorted)) (=> (tptp.v1_finset_1 A) (= (tptp.k4_card_1 A) (tptp.k1_card_1 A)))) (exists ((A $$unsorted)) (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_finseq_1 A))) (forall ((A $$unsorted)) (=> (tptp.v4_ordinal2 A) (tptp.v1_finset_1 (tptp.k1_finseq_1 A)))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.v1_funct_1 A))) (let ((_let_2 (tptp.v1_relat_1 A))) (=> (and _let_2 _let_1 (tptp.v1_finseq_1 A)) (and _let_2 _let_1 (tptp.v1_finset_1 A)))))) (and _let_18 _let_15 _let_17 _let_14 _let_16 (tptp.v1_finset_1 tptp.k1_xboole_0) _let_13) (forall ((A $$unsorted)) (exists ((B $$unsorted)) (and (tptp.m1_relset_1 B tptp.k5_numbers A) (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (tptp.v1_finset_1 B) (tptp.v1_finseq_1 B)))) (exists ((A $$unsorted)) (and (tptp.v1_xboole_0 A) (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v2_funct_1 A) (tptp.v1_finset_1 A) (tptp.v1_finseq_1 A))) (forall ((A $$unsorted)) (exists ((B $$unsorted)) (and (tptp.m1_finseq_1 B A) (tptp.v1_xboole_0 B) (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (tptp.v2_funct_1 B) (tptp.v1_finset_1 B) (tptp.v1_finseq_1 B)))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k5_finseq_1 A))) (and (tptp.v1_relat_1 _let_1) (tptp.v1_funct_1 _let_1)))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k5_finseq_1 A))) (and (tptp.v1_relat_1 _let_1) (tptp.v1_funct_1 _let_1) (tptp.v1_finset_1 _let_1) (tptp.v1_finseq_1 _let_1)))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k10_finseq_1 A B))) (and (tptp.v1_relat_1 _let_1) (tptp.v1_funct_1 _let_1)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k11_finseq_1 A B C))) (and (tptp.v1_relat_1 _let_1) (tptp.v1_funct_1 _let_1)))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k10_finseq_1 A B))) (and (tptp.v1_relat_1 _let_1) (tptp.v1_funct_1 _let_1) (tptp.v1_finset_1 _let_1) (tptp.v1_finseq_1 _let_1)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k11_finseq_1 A B C))) (and (tptp.v1_relat_1 _let_1) (tptp.v1_funct_1 _let_1) (tptp.v1_finset_1 _let_1) (tptp.v1_finseq_1 _let_1)))) (forall ((A $$unsorted)) (not (tptp.v1_xboole_0 (tptp.k13_finseq_1 A)))) (exists ((A $$unsorted)) (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v2_finseq_1 A))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k15_finseq_1 A))) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v2_finseq_1 A)) (and (tptp.v1_relat_1 _let_1) (tptp.v1_funct_1 _let_1) (tptp.v1_finset_1 _let_1) (tptp.v1_finseq_1 _let_1))))) (exists ((A $$unsorted)) (and (tptp.v1_xboole_0 A) (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v2_funct_1 A) (tptp.v1_finset_1 A))) (exists ((A $$unsorted)) (and (not (tptp.v1_xboole_0 A)) (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_finset_1 A))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_finset_1 A)) (tptp.v1_finset_1 (tptp.k2_relat_1 A)))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k5_finseq_1 A))) (and (not (tptp.v1_xboole_0 _let_1)) (tptp.v1_relat_1 _let_1) (tptp.v1_funct_1 _let_1) (tptp.v1_finset_1 _let_1) (tptp.v1_finseq_1 _let_1)))) (exists ((A $$unsorted)) (and (not (tptp.v1_xboole_0 A)) (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_finset_1 A) (tptp.v1_finseq_1 A))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k7_finseq_1 A B))) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_finseq_1 A) (not (tptp.v1_xboole_0 B)) (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (tptp.v1_finseq_1 B)) (and (not (tptp.v1_xboole_0 _let_1)) (tptp.v1_relat_1 _let_1) (tptp.v1_funct_1 _let_1) (tptp.v1_finset_1 _let_1) (tptp.v1_finseq_1 _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k7_finseq_1 B A))) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_finseq_1 A) (not (tptp.v1_xboole_0 B)) (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (tptp.v1_finseq_1 B)) (and (not (tptp.v1_xboole_0 _let_1)) (tptp.v1_relat_1 _let_1) (tptp.v1_funct_1 _let_1) (tptp.v1_finset_1 _let_1) (tptp.v1_finseq_1 _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k16_finseq_1 A B tptp.np__0))) (=> (tptp.m1_finseq_1 B A) (and (tptp.v1_xboole_0 _let_1) (tptp.v1_relat_1 _let_1) (tptp.v1_funct_1 _let_1) (tptp.v2_funct_1 _let_1) (tptp.v1_finset_1 _let_1) (tptp.v1_finseq_1 _let_1))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k13_finseq_1 A))) (and (not (tptp.v1_xboole_0 _let_1)) (tptp.v1_fraenkel _let_1)))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_finset_1 A)) (tptp.v1_finset_1 (tptp.k1_relat_1 A)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_finset_1 A)) (tptp.v1_finset_1 (tptp.k10_relat_1 A B)))) true true (forall ((A $$unsorted)) (=> (tptp.v4_ordinal2 A) (forall ((B $$unsorted)) (=> (tptp.v4_ordinal2 B) (= (tptp.r2_hidden A (tptp.k2_finseq_1 B)) (and (tptp.r1_xreal_0 tptp.np__1 A) (tptp.r1_xreal_0 A B))))))) (and (= (tptp.k2_finseq_1 tptp.np__0) tptp.k1_xboole_0) (= (tptp.k2_finseq_1 tptp.np__1) (tptp.k1_tarski tptp.np__1)) (= (tptp.k2_finseq_1 tptp.np__2) (tptp.k2_tarski tptp.np__1 tptp.np__2))) (forall ((A $$unsorted)) (=> (tptp.v4_ordinal2 A) (or (= A tptp.np__0) (tptp.r2_hidden A (tptp.k2_finseq_1 A))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k2_xcmplx_0 A tptp.np__1))) (=> (tptp.v4_ordinal2 A) (tptp.r2_hidden _let_1 (tptp.k2_finseq_1 _let_1))))) (forall ((A $$unsorted)) (=> (tptp.v4_ordinal2 A) (forall ((B $$unsorted)) (=> (tptp.v4_ordinal2 B) (= (tptp.r1_xreal_0 A B) (tptp.r1_tarski (tptp.k2_finseq_1 A) (tptp.k2_finseq_1 B))))))) (forall ((A $$unsorted)) (=> (tptp.v4_ordinal2 A) (forall ((B $$unsorted)) (=> (tptp.v4_ordinal2 B) (=> (= (tptp.k2_finseq_1 A) (tptp.k2_finseq_1 B)) (= A B)))))) (forall ((A $$unsorted)) (=> (tptp.v4_ordinal2 A) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k2_finseq_1 A))) (=> (tptp.v4_ordinal2 B) (=> (tptp.r1_xreal_0 A B) (= _let_1 (tptp.k5_subset_1 tptp.k5_numbers (tptp.k2_finseq_1 B) _let_1)))))))) (forall ((A $$unsorted)) (=> (tptp.v4_ordinal2 A) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k2_finseq_1 A))) (=> (tptp.v4_ordinal2 B) (=> (= _let_1 (tptp.k5_subset_1 tptp.k5_numbers _let_1 (tptp.k2_finseq_1 B))) (tptp.r1_xreal_0 A B))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k2_xcmplx_0 A tptp.np__1))) (=> (tptp.v4_ordinal2 A) (= (tptp.k2_xboole_0 (tptp.k2_finseq_1 A) (tptp.k1_tarski _let_1)) (tptp.k2_finseq_1 _let_1))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k2_xcmplx_0 A tptp.np__1))) (=> (tptp.v4_ordinal2 A) (= (tptp.k2_finseq_1 A) (tptp.k4_xboole_0 (tptp.k2_finseq_1 _let_1) (tptp.k1_tarski _let_1)))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (= (tptp.v1_finseq_1 A) (exists ((B $$unsorted)) (and (tptp.m2_subset_1 B tptp.k1_numbers tptp.k5_numbers) (= (tptp.k1_relat_1 A) (tptp.k2_finseq_1 B))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_finseq_1 A)) (forall ((B $$unsorted)) (=> (tptp.m2_subset_1 B tptp.k1_numbers tptp.k5_numbers) (= (= B (tptp.k3_finseq_1 A)) (= (tptp.k2_finseq_1 B) (tptp.k1_relat_1 A))))))) true (and _let_15 _let_14 _let_13) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (not (and (exists ((B $$unsorted)) (and (tptp.m2_subset_1 B tptp.k1_numbers tptp.k5_numbers) (tptp.r1_tarski (tptp.k1_relat_1 A) (tptp.k2_finseq_1 B)))) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (tptp.v1_finseq_1 B)) (not (tptp.r1_tarski A B)))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (tptp.v1_finseq_1 B)) (not (and (tptp.r2_hidden A B) (forall ((C $$unsorted)) (=> (tptp.m2_subset_1 C tptp.k1_numbers tptp.k5_numbers) (not (and (tptp.r2_hidden C (tptp.k4_finseq_1 B)) (= A (tptp.k4_tarski C (tptp.k1_funct_1 B C))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_finseq_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (tptp.v1_finseq_1 B)) (=> (and (= (tptp.k4_finseq_1 A) (tptp.k4_finseq_1 B)) (forall ((C $$unsorted)) (=> (tptp.m2_subset_1 C tptp.k1_numbers tptp.k5_numbers) (=> (tptp.r2_hidden C (tptp.k4_finseq_1 A)) (= (tptp.k1_funct_1 A C) (tptp.k1_funct_1 B C)))))) (= A B)))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_finseq_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (tptp.v1_finseq_1 B)) (=> (and (= (tptp.k3_finseq_1 A) (tptp.k3_finseq_1 B)) (forall ((C $$unsorted)) (=> (tptp.m2_subset_1 C tptp.k1_numbers tptp.k5_numbers) (=> (and (tptp.r1_xreal_0 tptp.np__1 C) (tptp.r1_xreal_0 C (tptp.k3_finseq_1 A))) (= (tptp.k1_funct_1 A C) (tptp.k1_funct_1 B C)))))) (= A B)))))) (forall ((A $$unsorted)) (=> (tptp.v4_ordinal2 A) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k7_relat_1 B (tptp.k2_finseq_1 A)))) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (tptp.v1_finseq_1 B)) (and (tptp.v1_relat_1 _let_1) (tptp.v1_funct_1 _let_1) (tptp.v1_finseq_1 _let_1))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k5_relat_1 B A))) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (tptp.v1_finseq_1 B)) (=> (tptp.r1_tarski (tptp.k2_relat_1 B) (tptp.k1_relat_1 A)) (and (tptp.v1_relat_1 _let_1) (tptp.v1_funct_1 _let_1) (tptp.v1_finseq_1 _let_1)))))))) (forall ((A $$unsorted)) (=> (tptp.v4_ordinal2 A) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (tptp.v1_finseq_1 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k2_finseq_1 A))) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C) (tptp.v1_finseq_1 C)) (=> (and (tptp.r1_xreal_0 A (tptp.k3_finseq_1 B)) (= C (tptp.k7_relat_1 B _let_1))) (and (= (tptp.k3_finseq_1 C) A) (= (tptp.k4_finseq_1 C) _let_1)))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (tptp.v1_finseq_1 B)) (= (tptp.m1_finseq_1 B A) (tptp.r1_tarski (tptp.k2_relat_1 B) A)))) true (forall ((A $$unsorted)) (=> (tptp.v4_ordinal2 A) (forall ((B $$unsorted) (C $$unsorted)) (=> (tptp.m2_finseq_1 C B) (tptp.m2_finseq_1 (tptp.k7_relat_1 C (tptp.k2_finseq_1 A)) B))))) (forall ((A $$unsorted)) (=> (tptp.v4_ordinal2 A) (forall ((B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (exists ((C $$unsorted)) (and (tptp.m2_finseq_1 C B) (= (tptp.k3_finseq_1 C) A))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_finseq_1 A)) (= (= (tptp.k3_finseq_1 A) tptp.np__0) (= A tptp.k1_xboole_0)))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_finseq_1 A)) (= (= A tptp.k1_xboole_0) (= (tptp.k4_finseq_1 A) tptp.k1_xboole_0)))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_finseq_1 A)) (= (= A tptp.k1_xboole_0) (= (tptp.k2_relat_1 A) tptp.k1_xboole_0)))) true (forall ((A $$unsorted)) (tptp.m2_finseq_1 tptp.k1_xboole_0 A)) (forall ((A $$unsorted)) (= (tptp.k5_finseq_1 A) (tptp.k1_tarski (tptp.k4_tarski tptp.np__1 A)))) (forall ((A $$unsorted)) (= (tptp.k6_finseq_1 A) tptp.k1_xboole_0)) true true (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_finseq_1 A)) (forall ((B $$unsorted)) (= (= A (tptp.k6_finseq_1 B)) (= (tptp.k3_finseq_1 A) tptp.np__0))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_finseq_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (tptp.v1_finseq_1 B)) (forall ((C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C) (tptp.v1_finseq_1 C)) (= (= C (tptp.k7_finseq_1 A B)) (and (= (tptp.k4_finseq_1 C) (tptp.k2_finseq_1 (tptp.k1_nat_1 (tptp.k3_finseq_1 A) (tptp.k3_finseq_1 B)))) (forall ((D $$unsorted)) (=> (tptp.m2_subset_1 D tptp.k1_numbers tptp.k5_numbers) (=> (tptp.r2_hidden D (tptp.k4_finseq_1 A)) (= (tptp.k1_funct_1 C D) (tptp.k1_funct_1 A D))))) (forall ((D $$unsorted)) (=> (tptp.m2_subset_1 D tptp.k1_numbers tptp.k5_numbers) (=> (tptp.r2_hidden D (tptp.k4_finseq_1 B)) (= (tptp.k1_funct_1 C (tptp.k1_nat_1 (tptp.k3_finseq_1 A) D)) (tptp.k1_funct_1 B D))))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_finseq_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (tptp.v1_finseq_1 B)) (= A (tptp.k7_relat_1 (tptp.k7_finseq_1 A B) (tptp.k4_finseq_1 A))))))) true (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_finseq_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (tptp.v1_finseq_1 B)) (= (tptp.k3_finseq_1 (tptp.k7_finseq_1 A B)) (tptp.k1_nat_1 (tptp.k3_finseq_1 A) (tptp.k3_finseq_1 B))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_finseq_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (tptp.v1_finseq_1 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k3_finseq_1 A))) (=> (tptp.v4_ordinal2 C) (=> (and (tptp.r1_xreal_0 (tptp.k1_nat_1 _let_1 tptp.np__1) C) (tptp.r1_xreal_0 C (tptp.k1_nat_1 _let_1 (tptp.k3_finseq_1 B)))) (= (tptp.k1_funct_1 (tptp.k7_finseq_1 A B) C) (tptp.k1_funct_1 B (tptp.k6_xcmplx_0 C _let_1))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_finseq_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (tptp.v1_finseq_1 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k3_finseq_1 A))) (let ((_let_2 (tptp.k7_finseq_1 A B))) (=> (tptp.v4_ordinal2 C) (=> (tptp.r1_xreal_0 C (tptp.k3_finseq_1 _let_2)) (or (tptp.r1_xreal_0 C _let_1) (= (tptp.k1_funct_1 _let_2 C) (tptp.k1_funct_1 B (tptp.k6_xcmplx_0 C _let_1))))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_finseq_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (tptp.v1_finseq_1 B)) (forall ((C $$unsorted)) (=> (tptp.m2_subset_1 C tptp.k1_numbers tptp.k5_numbers) (not (and (tptp.r2_hidden C (tptp.k4_finseq_1 (tptp.k7_finseq_1 A B))) (not (tptp.r2_hidden C (tptp.k4_finseq_1 A))) (forall ((D $$unsorted)) (=> (tptp.m2_subset_1 D tptp.k1_numbers tptp.k5_numbers) (not (and (tptp.r2_hidden D (tptp.k4_finseq_1 B)) (= C (tptp.k1_nat_1 (tptp.k3_finseq_1 A) D)))))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_finseq_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (tptp.v1_finseq_1 B)) (tptp.r1_tarski (tptp.k4_finseq_1 A) (tptp.k4_finseq_1 (tptp.k7_finseq_1 A B))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (tptp.v1_finseq_1 B)) (forall ((C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C) (tptp.v1_finseq_1 C)) (not (and (tptp.r2_hidden A (tptp.k4_finseq_1 B)) (forall ((D $$unsorted)) (=> (tptp.m2_subset_1 D tptp.k1_numbers tptp.k5_numbers) (not (and (= D A) (tptp.r2_hidden (tptp.k1_nat_1 (tptp.k3_finseq_1 C) D) (tptp.k4_finseq_1 (tptp.k7_finseq_1 C B))))))))))))) (forall ((A $$unsorted)) (=> (tptp.m2_subset_1 A tptp.k1_numbers tptp.k5_numbers) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (tptp.v1_finseq_1 B)) (forall ((C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C) (tptp.v1_finseq_1 C)) (=> (tptp.r2_hidden A (tptp.k4_finseq_1 B)) (tptp.r2_hidden (tptp.k1_nat_1 (tptp.k3_finseq_1 C) A) (tptp.k4_finseq_1 (tptp.k7_finseq_1 C B)))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_finseq_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (tptp.v1_finseq_1 B)) (tptp.r1_tarski (tptp.k2_relat_1 A) (tptp.k2_relat_1 (tptp.k7_finseq_1 A B))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_finseq_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (tptp.v1_finseq_1 B)) (tptp.r1_tarski (tptp.k2_relat_1 A) (tptp.k2_relat_1 (tptp.k7_finseq_1 B A))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_finseq_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (tptp.v1_finseq_1 B)) (= (tptp.k2_relat_1 (tptp.k7_finseq_1 A B)) (tptp.k2_xboole_0 (tptp.k2_relat_1 A) (tptp.k2_relat_1 B))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_finseq_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (tptp.v1_finseq_1 B)) (forall ((C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C) (tptp.v1_finseq_1 C)) (= (tptp.k7_finseq_1 (tptp.k7_finseq_1 A B) C) (tptp.k7_finseq_1 A (tptp.k7_finseq_1 B C))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_finseq_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (tptp.v1_finseq_1 B)) (forall ((C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C) (tptp.v1_finseq_1 C)) (=> (or (= (tptp.k7_finseq_1 A B) (tptp.k7_finseq_1 C B)) (= (tptp.k7_finseq_1 B A) (tptp.k7_finseq_1 B C))) (= A C)))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_finseq_1 A)) (and (= (tptp.k7_finseq_1 A tptp.k1_xboole_0) A) (= (tptp.k7_finseq_1 tptp.k1_xboole_0 A) A)))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_finseq_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (tptp.v1_finseq_1 B)) (=> (= (tptp.k7_finseq_1 A B) tptp.k1_xboole_0) (and (= A tptp.k1_xboole_0) (= B tptp.k1_xboole_0))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (= (= B (tptp.k9_finseq_1 A)) (and (= (tptp.k1_relat_1 B) (tptp.k2_finseq_1 tptp.np__1)) (= (tptp.k1_funct_1 B tptp.np__1) A))))) true (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_finseq_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (tptp.v1_finseq_1 B)) (forall ((C $$unsorted)) (=> (tptp.m2_finseq_1 (tptp.k7_finseq_1 A B) C) (and (tptp.m2_finseq_1 A C) (tptp.m2_finseq_1 B C)))))))) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.k10_finseq_1 A B) (tptp.k7_finseq_1 (tptp.k9_finseq_1 A) (tptp.k9_finseq_1 B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.k11_finseq_1 A B C) (tptp.k7_finseq_1 (tptp.k7_finseq_1 (tptp.k9_finseq_1 A) (tptp.k9_finseq_1 B)) (tptp.k9_finseq_1 C)))) true (forall ((A $$unsorted)) (= (tptp.k9_finseq_1 A) (tptp.k1_tarski (tptp.k4_tarski tptp.np__1 A)))) true true (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (tptp.v1_finseq_1 B)) (= (= B (tptp.k9_finseq_1 A)) (and (= (tptp.k4_finseq_1 B) (tptp.k2_finseq_1 tptp.np__1)) (= (tptp.k2_relat_1 B) (tptp.k1_tarski A)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (tptp.v1_finseq_1 B)) (= (= B (tptp.k9_finseq_1 A)) (and (= (tptp.k3_finseq_1 B) tptp.np__1) (= (tptp.k2_relat_1 B) (tptp.k1_tarski A)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (tptp.v1_finseq_1 B)) (= (= B (tptp.k9_finseq_1 A)) (and (= (tptp.k3_finseq_1 B) tptp.np__1) (= (tptp.k1_funct_1 B tptp.np__1) A))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (tptp.v1_finseq_1 B)) (= (tptp.k1_funct_1 (tptp.k7_finseq_1 (tptp.k9_finseq_1 A) B) tptp.np__1) A))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (tptp.v1_finseq_1 B)) (= (tptp.k1_funct_1 (tptp.k7_finseq_1 B (tptp.k9_finseq_1 A)) (tptp.k1_nat_1 (tptp.k3_finseq_1 B) tptp.np__1)) A))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k11_finseq_1 A B C))) (and (= _let_1 (tptp.k7_finseq_1 (tptp.k9_finseq_1 A) (tptp.k10_finseq_1 B C))) (= _let_1 (tptp.k7_finseq_1 (tptp.k10_finseq_1 A B) (tptp.k9_finseq_1 C)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C) (tptp.v1_finseq_1 C)) (= (= C (tptp.k10_finseq_1 A B)) (and (= (tptp.k3_finseq_1 C) tptp.np__2) (= (tptp.k1_funct_1 C tptp.np__1) A) (= (tptp.k1_funct_1 C tptp.np__2) B))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.v1_relat_1 D) (tptp.v1_funct_1 D) (tptp.v1_finseq_1 D)) (= (= D (tptp.k11_finseq_1 A B C)) (and (= (tptp.k3_finseq_1 D) tptp.np__3) (= (tptp.k1_funct_1 D tptp.np__1) A) (= (tptp.k1_funct_1 D tptp.np__2) B) (= (tptp.k1_funct_1 D tptp.np__3) C))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_finseq_1 A)) (not (and (not (= A tptp.k1_xboole_0)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (tptp.v1_finseq_1 B)) (forall ((C $$unsorted)) (not (= A (tptp.k7_finseq_1 B (tptp.k9_finseq_1 C))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_finseq_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (tptp.v1_finseq_1 B)) (forall ((C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C) (tptp.v1_finseq_1 C)) (forall ((D $$unsorted)) (=> (and (tptp.v1_relat_1 D) (tptp.v1_funct_1 D) (tptp.v1_finseq_1 D)) (not (and (= (tptp.k7_finseq_1 A B) (tptp.k7_finseq_1 C D)) (tptp.r1_xreal_0 (tptp.k3_finseq_1 A) (tptp.k3_finseq_1 C)) (forall ((E $$unsorted)) (=> (and (tptp.v1_relat_1 E) (tptp.v1_funct_1 E) (tptp.v1_finseq_1 E)) (not (= (tptp.k7_finseq_1 A E) C)))))))))))))) (forall ((A $$unsorted) (B $$unsorted)) (= (= B (tptp.k13_finseq_1 A)) (forall ((C $$unsorted)) (= (tptp.r2_hidden C B) (tptp.m2_finseq_1 C A))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_finseq_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (tptp.v1_finseq_1 B)) (=> (and (= (tptp.k2_relat_1 A) (tptp.k2_relat_1 B)) (tptp.v2_funct_1 A) (tptp.v2_funct_1 B)) (= (tptp.k3_finseq_1 A) (tptp.k3_finseq_1 B))))))) (forall ((A $$unsorted)) (tptp.r2_hidden tptp.k1_xboole_0 (tptp.k13_finseq_1 A))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (= (tptp.v2_finseq_1 A) (exists ((B $$unsorted)) (and (tptp.m2_subset_1 B tptp.k1_numbers tptp.k5_numbers) (tptp.r1_tarski (tptp.k1_relat_1 A) (tptp.k2_finseq_1 B))))))) true (forall ((A $$unsorted)) (let ((_let_1 (tptp.v1_funct_1 A))) (let ((_let_2 (tptp.v1_relat_1 A))) (=> (and _let_2 _let_1 (tptp.v1_finseq_1 A)) (and _let_2 _let_1 (tptp.v2_finseq_1 A)))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k8_relat_1 A B))) (let ((_let_2 (tptp.k7_relat_1 B A))) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (tptp.v1_finseq_1 B)) (and (tptp.v1_relat_1 _let_2) (tptp.v1_funct_1 _let_2) (tptp.v2_finseq_1 _let_2) (tptp.v1_relat_1 _let_1) (tptp.v1_funct_1 _let_1) (tptp.v2_finseq_1 _let_1)))))) (forall ((A $$unsorted)) (=> (exists ((B $$unsorted)) (and (tptp.v4_ordinal2 B) (tptp.r1_tarski A (tptp.k2_finseq_1 B)))) (forall ((B $$unsorted)) (=> (tptp.m2_finseq_1 B tptp.k5_numbers) (= (= B (tptp.k14_finseq_1 A)) (and (= (tptp.k2_relat_1 B) A) (forall ((C $$unsorted)) (=> (tptp.v4_ordinal2 C) (forall ((D $$unsorted)) (=> (tptp.v4_ordinal2 D) (forall ((E $$unsorted)) (=> (tptp.v4_ordinal2 E) (forall ((F $$unsorted)) (=> (tptp.v4_ordinal2 F) (not (and (tptp.r1_xreal_0 tptp.np__1 C) (not (tptp.r1_xreal_0 D C)) (tptp.r1_xreal_0 D (tptp.k3_finseq_1 B)) (= E (tptp.k1_funct_1 B C)) (= F (tptp.k1_funct_1 B D)) (tptp.r1_xreal_0 F E))))))))))))))))) true (forall ((A $$unsorted)) (let ((_let_1 (tptp.k1_relat_1 A))) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v2_finseq_1 A)) (= (tptp.k2_relat_1 (tptp.k14_finseq_1 _let_1)) _let_1)))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v2_finseq_1 A)) (= (tptp.k15_finseq_1 A) (tptp.k5_relat_1 (tptp.k14_finseq_1 (tptp.k1_relat_1 A)) A)))) (forall ((A $$unsorted)) (=> (exists ((B $$unsorted)) (and (tptp.m2_subset_1 B tptp.k1_numbers tptp.k5_numbers) (tptp.r1_tarski A (tptp.k2_finseq_1 B)))) (= (= (tptp.k14_finseq_1 A) tptp.k1_xboole_0) (= A tptp.k1_xboole_0)))) (forall ((A $$unsorted)) (= (tptp.v1_finset_1 A) (exists ((B $$unsorted)) (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (tptp.v1_finseq_1 B) (= A (tptp.k2_relat_1 B)))))) (forall ((A $$unsorted)) (=> (tptp.m2_subset_1 A tptp.k1_numbers tptp.k5_numbers) (forall ((B $$unsorted)) (=> (tptp.m2_subset_1 B tptp.k1_numbers tptp.k5_numbers) (=> (tptp.r2_wellord2 (tptp.k2_finseq_1 A) (tptp.k2_finseq_1 B)) (= A B)))))) (forall ((A $$unsorted)) (=> (tptp.m2_subset_1 A tptp.k1_numbers tptp.k5_numbers) (tptp.r2_wellord2 (tptp.k2_finseq_1 A) A))) (forall ((A $$unsorted)) (=> (tptp.m2_subset_1 A tptp.k1_numbers tptp.k5_numbers) (= (tptp.k1_card_1 (tptp.k2_finseq_1 A)) (tptp.k1_card_1 A)))) (forall ((A $$unsorted)) (not (and (tptp.v1_finset_1 A) (forall ((B $$unsorted)) (=> (tptp.m2_subset_1 B tptp.k1_numbers tptp.k5_numbers) (not (tptp.r2_wellord2 A (tptp.k2_finseq_1 B)))))))) (and (forall ((A $$unsorted)) (=> (tptp.v4_ordinal2 A) (= (tptp.k4_card_1 (tptp.k2_finseq_1 A)) A))) (forall ((A $$unsorted)) (=> (tptp.m2_subset_1 A tptp.k1_numbers tptp.k5_numbers) (and (= (tptp.k4_card_1 A) A) (= (tptp.k4_card_1 (tptp.k1_card_1 A)) A))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m2_finseq_1 B A) (forall ((C $$unsorted)) (=> (tptp.v4_ordinal2 C) (= (tptp.k16_finseq_1 A B C) (tptp.k7_relat_1 B (tptp.k2_finseq_1 C))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m2_finseq_1 B A) (forall ((C $$unsorted)) (=> (tptp.v4_ordinal2 C) (=> (tptp.r1_xreal_0 (tptp.k3_finseq_1 B) C) (= (tptp.k16_finseq_1 A B C) B)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m2_finseq_1 B A) (forall ((C $$unsorted)) (=> (tptp.v4_ordinal2 C) (=> (tptp.r1_xreal_0 C (tptp.k3_finseq_1 B)) (= (tptp.k3_finseq_1 (tptp.k16_finseq_1 A B C)) C)))))) (forall ((A $$unsorted)) (=> (tptp.m2_subset_1 A tptp.k1_numbers tptp.k5_numbers) (forall ((B $$unsorted)) (=> (tptp.v4_ordinal2 B) (forall ((C $$unsorted)) (=> (tptp.v4_ordinal2 C) (=> (tptp.r2_hidden B (tptp.k2_finseq_1 A)) (tptp.r2_hidden (tptp.k2_xcmplx_0 B C) (tptp.k2_finseq_1 (tptp.k2_xcmplx_0 A C)))))))))) (forall ((A $$unsorted)) (=> (tptp.m2_subset_1 A tptp.k1_numbers tptp.k5_numbers) (forall ((B $$unsorted)) (=> (tptp.v4_ordinal2 B) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k2_finseq_1 (tptp.k2_xcmplx_0 A C)))) (=> (tptp.v4_ordinal2 C) (=> (tptp.r2_hidden (tptp.k2_xcmplx_0 B C) _let_1) (or (tptp.r1_xreal_0 B tptp.np__0) (and (tptp.r2_hidden B (tptp.k2_finseq_1 A)) (tptp.r2_hidden B _let_1))))))))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (forall ((B $$unsorted)) (=> (tptp.v1_relat_1 B) (= (= B (tptp.k17_finseq_1 A)) (forall ((C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k3_relat_1 A))) (= (tptp.r2_hidden (tptp.k4_tarski C D) B) (and (tptp.r2_hidden C _let_1) (tptp.r2_hidden D _let_1) (exists ((E $$unsorted)) (let ((_let_1 (tptp.k3_finseq_1 E))) (and (tptp.v1_relat_1 E) (tptp.v1_funct_1 E) (tptp.v1_finseq_1 E) (tptp.r1_xreal_0 tptp.np__1 _let_1) (= (tptp.k1_funct_1 E tptp.np__1) C) (= (tptp.k1_funct_1 E _let_1) D) (forall ((F $$unsorted)) (=> (tptp.m2_subset_1 F tptp.k1_numbers tptp.k5_numbers) (=> (tptp.r1_xreal_0 tptp.np__1 F) (or (tptp.r1_xreal_0 (tptp.k3_finseq_1 E) F) (tptp.r2_hidden (tptp.k4_tarski (tptp.k1_funct_1 E F) (tptp.k1_funct_1 E (tptp.k1_nat_1 F tptp.np__1))) A))))))))))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.r1_tarski A B) (tptp.r1_tarski (tptp.k13_finseq_1 A) (tptp.k13_finseq_1 B)))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_finseq_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (tptp.v1_finseq_1 B)) (=> (tptp.r1_tarski A B) (tptp.r1_xreal_0 (tptp.k3_finseq_1 A) (tptp.k3_finseq_1 B))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_finseq_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (tptp.v1_finseq_1 B)) (forall ((C $$unsorted)) (=> (tptp.m2_subset_1 C tptp.k1_numbers tptp.k5_numbers) (=> (and (tptp.r1_xreal_0 tptp.np__1 C) (tptp.r1_xreal_0 C (tptp.k3_finseq_1 A))) (= (tptp.k1_funct_1 (tptp.k7_finseq_1 A B) C) (tptp.k1_funct_1 A C))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_finseq_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (tptp.v1_finseq_1 B)) (forall ((C $$unsorted)) (=> (tptp.m2_subset_1 C tptp.k1_numbers tptp.k5_numbers) (=> (and (tptp.r1_xreal_0 tptp.np__1 C) (tptp.r1_xreal_0 C (tptp.k3_finseq_1 B))) (= (tptp.k1_funct_1 (tptp.k7_finseq_1 A B) (tptp.k1_nat_1 (tptp.k3_finseq_1 A) C)) (tptp.k1_funct_1 B C))))))))) (=> (and (forall ((A $$unsorted)) (=> (tptp.m2_subset_1 A tptp.k1_numbers tptp.k5_numbers) (forall ((B $$unsorted) (C $$unsorted)) (=> (and (tptp.r2_hidden A (tptp.k2_finseq_1 tptp.f1_s1_finseq_1)) (tptp.p1_s1_finseq_1 A B) (tptp.p1_s1_finseq_1 A C)) (= B C))))) (forall ((A $$unsorted)) (=> (tptp.m2_subset_1 A tptp.k1_numbers tptp.k5_numbers) (not (and (tptp.r2_hidden A (tptp.k2_finseq_1 tptp.f1_s1_finseq_1)) (forall ((B $$unsorted)) (not (tptp.p1_s1_finseq_1 A B)))))))) (exists ((A $$unsorted)) (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_finseq_1 A) (= (tptp.k4_finseq_1 A) (tptp.k2_finseq_1 tptp.f1_s1_finseq_1)) (forall ((B $$unsorted)) (=> (tptp.m2_subset_1 B tptp.k1_numbers tptp.k5_numbers) (=> (tptp.r2_hidden B (tptp.k2_finseq_1 tptp.f1_s1_finseq_1)) (tptp.p1_s1_finseq_1 B (tptp.k1_funct_1 A B)))))))) (exists ((A $$unsorted)) (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_finseq_1 A) (= (tptp.k3_finseq_1 A) tptp.f1_s2_finseq_1) (forall ((B $$unsorted)) (=> (tptp.m2_subset_1 B tptp.k1_numbers tptp.k5_numbers) (=> (tptp.r2_hidden B (tptp.k2_finseq_1 tptp.f1_s2_finseq_1)) (= (tptp.k1_funct_1 A B) (tptp.f2_s2_finseq_1 B))))))) (=> (and (tptp.p1_s3_finseq_1 tptp.k1_xboole_0) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_finseq_1 A)) (forall ((B $$unsorted)) (=> (tptp.p1_s3_finseq_1 A) (tptp.p1_s3_finseq_1 (tptp.k7_finseq_1 A (tptp.k9_finseq_1 B)))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_finseq_1 A)) (tptp.p1_s3_finseq_1 A)))) (exists ((A $$unsorted)) (forall ((B $$unsorted)) (= (tptp.r2_hidden B A) (exists ((C $$unsorted)) (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C) (tptp.v1_finseq_1 C) (tptp.r2_hidden C (tptp.k13_finseq_1 tptp.f1_s4_finseq_1)) (tptp.p1_s4_finseq_1 C) (= B C)))))) (=> (forall ((A $$unsorted)) (=> (tptp.m2_subset_1 A tptp.k1_numbers tptp.k5_numbers) (not (and (tptp.r2_hidden A (tptp.k2_finseq_1 tptp.f2_s5_finseq_1)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.f1_s5_finseq_1) (not (tptp.p1_s5_finseq_1 A B)))))))) (exists ((A $$unsorted)) (and (tptp.m2_finseq_1 A tptp.f1_s5_finseq_1) (= (tptp.k4_finseq_1 A) (tptp.k2_finseq_1 tptp.f2_s5_finseq_1)) (forall ((B $$unsorted)) (=> (tptp.m2_subset_1 B tptp.k1_numbers tptp.k5_numbers) (=> (tptp.r2_hidden B (tptp.k2_finseq_1 tptp.f2_s5_finseq_1)) (tptp.p1_s5_finseq_1 B (tptp.k1_funct_1 A B)))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_finseq_1 B A) (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (tptp.v1_finseq_1 B)))) (forall ((A $$unsorted)) (exists ((B $$unsorted)) (tptp.m1_finseq_1 B A))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m2_finseq_1 B A) (and (tptp.v1_funct_1 B) (tptp.v1_finseq_1 B) (tptp.m2_relset_1 B tptp.k5_numbers A)))) (forall ((A $$unsorted)) (exists ((B $$unsorted)) (tptp.m2_finseq_1 B A))) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.m2_finseq_1 B A) (tptp.m1_finseq_1 B A))) true (forall ((A $$unsorted)) (=> (tptp.v4_ordinal2 A) (tptp.m1_subset_1 (tptp.k2_finseq_1 A) (tptp.k1_zfmisc_1 tptp.k5_numbers)))) (forall ((A $$unsorted)) (=> (tptp.v4_ordinal2 A) (= (tptp.k2_finseq_1 A) (tptp.k1_finseq_1 A)))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_finseq_1 A)) (tptp.m2_subset_1 (tptp.k3_finseq_1 A) tptp.k1_numbers tptp.k5_numbers))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_finseq_1 A)) (= (tptp.k3_finseq_1 A) (tptp.k1_card_1 A)))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_finseq_1 A)) (tptp.m1_subset_1 (tptp.k4_finseq_1 A) (tptp.k1_zfmisc_1 tptp.k5_numbers)))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_finseq_1 A)) (= (tptp.k4_finseq_1 A) (tptp.k1_relat_1 A)))) true (forall ((A $$unsorted)) (let ((_let_1 (tptp.k6_finseq_1 A))) (and (tptp.v1_xboole_0 _let_1) (tptp.m2_finseq_1 _let_1 A)))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k7_finseq_1 A B))) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_finseq_1 A) (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (tptp.v1_finseq_1 B)) (and (tptp.v1_relat_1 _let_1) (tptp.v1_funct_1 _let_1) (tptp.v1_finseq_1 _let_1))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.m1_finseq_1 B A) (tptp.m1_finseq_1 C A)) (tptp.m2_finseq_1 (tptp.k8_finseq_1 A B C) A))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.m1_finseq_1 B A) (tptp.m1_finseq_1 C A)) (= (tptp.k8_finseq_1 A B C) (tptp.k7_finseq_1 B C)))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k9_finseq_1 A))) (and (tptp.v1_relat_1 _let_1) (tptp.v1_funct_1 _let_1)))) (forall ((A $$unsorted)) (= (tptp.k9_finseq_1 A) (tptp.k5_finseq_1 A))) true true (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.m1_subset_1 B A)) (tptp.m2_finseq_1 (tptp.k12_finseq_1 A B) A))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.m1_subset_1 B A)) (= (tptp.k12_finseq_1 A B) (tptp.k5_finseq_1 B)))) true (forall ((A $$unsorted)) (tptp.m2_finseq_1 (tptp.k14_finseq_1 A) tptp.k5_numbers)) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k15_finseq_1 A))) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v2_finseq_1 A)) (and (tptp.v1_relat_1 _let_1) (tptp.v1_funct_1 _let_1))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.m1_finseq_1 B A) (tptp.v4_ordinal2 C)) (tptp.m2_finseq_1 (tptp.k16_finseq_1 A B C) A))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (tptp.v1_relat_1 (tptp.k17_finseq_1 A)))) (forall ((A $$unsorted)) (=> (tptp.v4_ordinal2 A) (= (tptp.k1_finseq_1 A) (tptp.a_1_0_finseq_1 A)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.v4_ordinal2 B) (= (tptp.r2_hidden A (tptp.a_1_0_finseq_1 B)) (exists ((C $$unsorted)) (and (tptp.m2_subset_1 C tptp.k1_numbers tptp.k5_numbers) (= A C) (tptp.r1_xreal_0 tptp.np__1 C) (tptp.r1_xreal_0 C B)))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (not (tptp.v1_xboole_0 (tptp.k1_orders_1 A))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (=> (not (tptp.r2_hidden tptp.k1_xboole_0 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k3_tarski A))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B A _let_1) (tptp.m2_relset_1 B A _let_1)) (= (tptp.m1_orders_1 B A) (forall ((C $$unsorted)) (=> (tptp.r2_hidden C A) (tptp.r2_hidden (tptp.k1_funct_1 B C) C)))))))))) (forall ((A $$unsorted)) (= (tptp.k1_orders_1 A) (tptp.k4_xboole_0 (tptp.k1_zfmisc_1 A) (tptp.k1_tarski tptp.k1_xboole_0)))) true true true (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (not (tptp.r2_hidden tptp.k1_xboole_0 (tptp.k1_orders_1 A))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (= (tptp.r1_tarski A B) (tptp.r2_hidden A (tptp.k1_orders_1 B))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (= (tptp.m1_subset_1 A (tptp.k1_zfmisc_1 B)) (tptp.r2_hidden A (tptp.k1_orders_1 B))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (tptp.r2_hidden A (tptp.k1_orders_1 A)))) true true true true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_relat_2 C) (tptp.v4_relat_2 C) (tptp.v8_relat_2 C) (tptp.v1_partfun1 C A A) (tptp.m2_relset_1 C A A)) (=> (tptp.r2_hidden B A) (tptp.r2_hidden (tptp.k4_tarski B B) C)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.v1_relat_2 D) (tptp.v4_relat_2 D) (tptp.v8_relat_2 D) (tptp.v1_partfun1 D A A) (tptp.m2_relset_1 D A A)) (=> (and (tptp.r2_hidden B A) (tptp.r2_hidden C A) (tptp.r2_hidden (tptp.k4_tarski B C) D) (tptp.r2_hidden (tptp.k4_tarski C B) D)) (= B C)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (=> (and (tptp.v1_relat_2 E) (tptp.v4_relat_2 E) (tptp.v8_relat_2 E) (tptp.v1_partfun1 E A A) (tptp.m2_relset_1 E A A)) (=> (and (tptp.r2_hidden B A) (tptp.r2_hidden C A) (tptp.r2_hidden D A) (tptp.r2_hidden (tptp.k4_tarski B C) E) (tptp.r2_hidden (tptp.k4_tarski C D) E)) (tptp.r2_hidden (tptp.k4_tarski B D) E)))) true true true true true true true true true true true true true true true true true true true true true true true true true true true true true true true true true true true true true true true true true true true true true true true true true true true true true true true true true true true true true true true true true true true true true true true true true true true true (forall ((A $$unsorted)) (let ((_let_1 (= (tptp.k3_tarski A) tptp.k1_xboole_0))) (and (not (and (exists ((B $$unsorted)) (and (not (= B tptp.k1_xboole_0)) (tptp.r2_hidden B A))) _let_1)) (not (and (not _let_1) (forall ((B $$unsorted)) (not (and (not (= B tptp.k1_xboole_0)) (tptp.r2_hidden B A))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.v1_relat_1 B) (= (tptp.r7_relat_2 B A) (and (tptp.r1_relat_2 B A) (tptp.r6_relat_2 B A))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.v1_relat_1 C) (=> (and (tptp.r1_relat_2 C A) (tptp.r1_tarski B A)) (tptp.r1_relat_2 C B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.v1_relat_1 C) (=> (and (tptp.r4_relat_2 C A) (tptp.r1_tarski B A)) (tptp.r4_relat_2 C B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.v1_relat_1 C) (=> (and (tptp.r8_relat_2 C A) (tptp.r1_tarski B A)) (tptp.r8_relat_2 C B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.v1_relat_1 C) (=> (and (tptp.r7_relat_2 C A) (tptp.r1_tarski B A)) (tptp.r7_relat_2 C B)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_partfun1 B A A) (tptp.m2_relset_1 B A A)) (= (tptp.k3_relat_1 B) A))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m2_relset_1 B A A) (=> (tptp.r1_relat_2 B A) (and (= (tptp.k4_relset_1 A A B) A) (= (tptp.k3_relat_1 B) A))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_relat_2 B) (tptp.v4_relat_2 B) (tptp.v8_relat_2 B) (tptp.v1_partfun1 B A A) (tptp.m2_relset_1 B A A)) (and (= (tptp.k4_relset_1 A A B) A) (= (tptp.k5_relset_1 A A B) A)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_relat_2 B) (tptp.v4_relat_2 B) (tptp.v8_relat_2 B) (tptp.v1_partfun1 B A A) (tptp.m2_relset_1 B A A)) (= (tptp.k3_relat_1 B) A))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (= (tptp.v1_orders_1 A) (and (tptp.v1_relat_2 A) (tptp.v8_relat_2 A))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (= (tptp.v2_orders_1 A) (and (tptp.v1_relat_2 A) (tptp.v8_relat_2 A) (tptp.v4_relat_2 A))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (= (tptp.v3_orders_1 A) (and (tptp.v1_relat_2 A) (tptp.v8_relat_2 A) (tptp.v4_relat_2 A) (tptp.v6_relat_2 A))))) true true true (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (=> (tptp.v1_orders_1 A) (tptp.v1_orders_1 (tptp.k4_relat_1 A))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (=> (tptp.v2_orders_1 A) (tptp.v2_orders_1 (tptp.k4_relat_1 A))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (=> (tptp.v3_orders_1 A) (tptp.v3_orders_1 (tptp.k4_relat_1 A))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (=> (tptp.v2_wellord1 A) (and (tptp.v1_orders_1 A) (tptp.v2_orders_1 A) (tptp.v3_orders_1 A))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (=> (tptp.v3_orders_1 A) (and (tptp.v1_orders_1 A) (tptp.v2_orders_1 A))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (=> (tptp.v2_orders_1 A) (tptp.v1_orders_1 A)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_relat_2 B) (tptp.v4_relat_2 B) (tptp.v8_relat_2 B) (tptp.v1_partfun1 B A A) (tptp.m2_relset_1 B A A)) (tptp.v2_orders_1 B))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_relat_2 B) (tptp.v4_relat_2 B) (tptp.v8_relat_2 B) (tptp.v1_partfun1 B A A) (tptp.m2_relset_1 B A A)) (tptp.v1_orders_1 B))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_relat_2 B) (tptp.v4_relat_2 B) (tptp.v8_relat_2 B) (tptp.v1_partfun1 B A A) (tptp.m2_relset_1 B A A)) (=> (tptp.v6_relat_2 B) (tptp.v3_orders_1 B)))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (forall ((B $$unsorted)) (=> (tptp.v1_orders_1 A) (tptp.v1_orders_1 (tptp.k2_wellord1 A B)))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (forall ((B $$unsorted)) (=> (tptp.v2_orders_1 A) (tptp.v2_orders_1 (tptp.k2_wellord1 A B)))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (forall ((B $$unsorted)) (=> (tptp.v3_orders_1 A) (tptp.v3_orders_1 (tptp.k2_wellord1 A B)))))) true true true (and (tptp.v1_orders_1 tptp.k1_xboole_0) (tptp.v2_orders_1 tptp.k1_xboole_0) (tptp.v3_orders_1 tptp.k1_xboole_0) (tptp.v2_wellord1 tptp.k1_xboole_0)) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k6_partfun1 A))) (and (tptp.v1_orders_1 _let_1) (tptp.v2_orders_1 _let_1)))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (forall ((B $$unsorted)) (= (tptp.r1_orders_1 A B) (and (tptp.r1_relat_2 A B) (tptp.r8_relat_2 A B)))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (forall ((B $$unsorted)) (= (tptp.r2_orders_1 A B) (and (tptp.r1_relat_2 A B) (tptp.r8_relat_2 A B) (tptp.r4_relat_2 A B)))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (forall ((B $$unsorted)) (= (tptp.r3_orders_1 A B) (and (tptp.r1_relat_2 A B) (tptp.r8_relat_2 A B) (tptp.r4_relat_2 A B) (tptp.r6_relat_2 A B)))))) true true true (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (forall ((B $$unsorted)) (=> (tptp.r2_wellord1 A B) (and (tptp.r1_orders_1 A B) (tptp.r2_orders_1 A B) (tptp.r3_orders_1 A B)))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (forall ((B $$unsorted)) (=> (tptp.r3_orders_1 A B) (and (tptp.r1_orders_1 A B) (tptp.r2_orders_1 A B)))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (forall ((B $$unsorted)) (=> (tptp.r2_orders_1 A B) (tptp.r1_orders_1 A B))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (=> (tptp.v1_orders_1 A) (tptp.r1_orders_1 A (tptp.k3_relat_1 A))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (forall ((B $$unsorted) (C $$unsorted)) (=> (and (tptp.r1_orders_1 A B) (tptp.r1_tarski C B)) (tptp.r1_orders_1 A C))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (forall ((B $$unsorted)) (=> (tptp.r1_orders_1 A B) (tptp.v1_orders_1 (tptp.k2_wellord1 A B)))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (=> (tptp.v2_orders_1 A) (tptp.r2_orders_1 A (tptp.k3_relat_1 A))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (forall ((B $$unsorted) (C $$unsorted)) (=> (and (tptp.r2_orders_1 A B) (tptp.r1_tarski C B)) (tptp.r2_orders_1 A C))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (forall ((B $$unsorted)) (=> (tptp.r2_orders_1 A B) (tptp.v2_orders_1 (tptp.k2_wellord1 A B)))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (=> (tptp.v3_orders_1 A) (tptp.r3_orders_1 A (tptp.k3_relat_1 A))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (forall ((B $$unsorted) (C $$unsorted)) (=> (and (tptp.r3_orders_1 A B) (tptp.r1_tarski C B)) (tptp.r3_orders_1 A C))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (forall ((B $$unsorted)) (=> (tptp.r3_orders_1 A B) (tptp.v3_orders_1 (tptp.k2_wellord1 A B)))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (forall ((B $$unsorted)) (=> (tptp.r1_orders_1 A B) (tptp.r1_orders_1 (tptp.k4_relat_1 A) B))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (forall ((B $$unsorted)) (=> (tptp.r2_orders_1 A B) (tptp.r2_orders_1 (tptp.k4_relat_1 A) B))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (forall ((B $$unsorted)) (=> (tptp.r3_orders_1 A B) (tptp.r3_orders_1 (tptp.k4_relat_1 A) B))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_relat_2 B) (tptp.v4_relat_2 B) (tptp.v8_relat_2 B) (tptp.v1_partfun1 B A A) (tptp.m2_relset_1 B A A)) (tptp.r1_orders_1 B A))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_relat_2 B) (tptp.v4_relat_2 B) (tptp.v8_relat_2 B) (tptp.v1_partfun1 B A A) (tptp.m2_relset_1 B A A)) (tptp.r2_orders_1 B A))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k2_wellord1 A B))) (=> (tptp.r2_orders_1 A B) (and (tptp.v1_relat_2 _let_1) (tptp.v4_relat_2 _let_1) (tptp.v8_relat_2 _let_1) (tptp.v1_partfun1 _let_1 B B) (tptp.m2_relset_1 _let_1 B B))))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k2_wellord1 A B))) (=> (tptp.r3_orders_1 A B) (and (tptp.v1_relat_2 _let_1) (tptp.v4_relat_2 _let_1) (tptp.v8_relat_2 _let_1) (tptp.v1_partfun1 _let_1 B B) (tptp.m2_relset_1 _let_1 B B))))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k2_wellord1 A B))) (=> (tptp.r2_wellord1 A B) (and (tptp.v1_relat_2 _let_1) (tptp.v4_relat_2 _let_1) (tptp.v8_relat_2 _let_1) (tptp.v1_partfun1 _let_1 B B) (tptp.m2_relset_1 _let_1 B B))))))) true true (forall ((A $$unsorted)) (let ((_let_1 (tptp.k6_partfun1 A))) (and (tptp.r1_orders_1 _let_1 A) (tptp.r2_orders_1 _let_1 A)))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (forall ((B $$unsorted)) (= (tptp.r4_orders_1 A B) (forall ((C $$unsorted)) (not (and (tptp.r1_tarski C B) (tptp.v3_orders_1 (tptp.k2_wellord1 A C)) (forall ((D $$unsorted)) (not (and (tptp.r2_hidden D B) (forall ((E $$unsorted)) (=> (tptp.r2_hidden E C) (tptp.r2_hidden (tptp.k4_tarski E D) A))))))))))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (forall ((B $$unsorted)) (= (tptp.r5_orders_1 A B) (forall ((C $$unsorted)) (not (and (tptp.r1_tarski C B) (tptp.v3_orders_1 (tptp.k2_wellord1 A C)) (forall ((D $$unsorted)) (not (and (tptp.r2_hidden D B) (forall ((E $$unsorted)) (=> (tptp.r2_hidden E C) (tptp.r2_hidden (tptp.k4_tarski D E) A))))))))))))) true true (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (forall ((B $$unsorted)) (not (and (tptp.r4_orders_1 A B) (= B tptp.k1_xboole_0)))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (forall ((B $$unsorted)) (not (and (tptp.r5_orders_1 A B) (= B tptp.k1_xboole_0)))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (forall ((B $$unsorted)) (= (tptp.r4_orders_1 A B) (tptp.r5_orders_1 (tptp.k4_relat_1 A) B))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (forall ((B $$unsorted)) (= (tptp.r4_orders_1 (tptp.k4_relat_1 A) B) (tptp.r5_orders_1 A B))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (forall ((B $$unsorted)) (= (tptp.r6_orders_1 A B) (and (tptp.r2_hidden B (tptp.k3_relat_1 A)) (forall ((C $$unsorted)) (not (and (tptp.r2_hidden C (tptp.k3_relat_1 A)) (not (= C B)) (tptp.r2_hidden (tptp.k4_tarski B C) A))))))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (forall ((B $$unsorted)) (= (tptp.r7_orders_1 A B) (and (tptp.r2_hidden B (tptp.k3_relat_1 A)) (forall ((C $$unsorted)) (not (and (tptp.r2_hidden C (tptp.k3_relat_1 A)) (not (= C B)) (tptp.r2_hidden (tptp.k4_tarski C B) A))))))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (forall ((B $$unsorted)) (= (tptp.r8_orders_1 A B) (and (tptp.r2_hidden B (tptp.k3_relat_1 A)) (forall ((C $$unsorted)) (=> (tptp.r2_hidden C (tptp.k3_relat_1 A)) (or (= C B) (tptp.r2_hidden (tptp.k4_tarski C B) A))))))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (forall ((B $$unsorted)) (= (tptp.r9_orders_1 A B) (and (tptp.r2_hidden B (tptp.k3_relat_1 A)) (forall ((C $$unsorted)) (=> (tptp.r2_hidden C (tptp.k3_relat_1 A)) (or (= C B) (tptp.r2_hidden (tptp.k4_tarski B C) A))))))))) true true true true (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (forall ((B $$unsorted)) (=> (and (tptp.r9_orders_1 A B) (tptp.v4_relat_2 A)) (tptp.r7_orders_1 A B))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (forall ((B $$unsorted)) (=> (and (tptp.r8_orders_1 A B) (tptp.v4_relat_2 A)) (tptp.r6_orders_1 A B))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (forall ((B $$unsorted)) (=> (and (tptp.r7_orders_1 A B) (tptp.v6_relat_2 A)) (tptp.r9_orders_1 A B))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (forall ((B $$unsorted)) (=> (and (tptp.r6_orders_1 A B) (tptp.v6_relat_2 A)) (tptp.r8_orders_1 A B))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (forall ((B $$unsorted) (C $$unsorted)) (=> (and (tptp.r2_hidden B C) (tptp.r8_orders_1 A B) (tptp.r1_tarski C (tptp.k3_relat_1 A)) (tptp.v1_relat_2 A)) (tptp.r4_orders_1 A C))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (forall ((B $$unsorted) (C $$unsorted)) (=> (and (tptp.r2_hidden B C) (tptp.r9_orders_1 A B) (tptp.r1_tarski C (tptp.k3_relat_1 A)) (tptp.v1_relat_2 A)) (tptp.r5_orders_1 A C))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (forall ((B $$unsorted)) (= (tptp.r7_orders_1 A B) (tptp.r6_orders_1 (tptp.k4_relat_1 A) B))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (forall ((B $$unsorted)) (= (tptp.r7_orders_1 (tptp.k4_relat_1 A) B) (tptp.r6_orders_1 A B))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (forall ((B $$unsorted)) (= (tptp.r9_orders_1 A B) (tptp.r8_orders_1 (tptp.k4_relat_1 A) B))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (forall ((B $$unsorted)) (= (tptp.r9_orders_1 (tptp.k4_relat_1 A) B) (tptp.r8_orders_1 A B))))) true true true true true true (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (forall ((B $$unsorted)) (not (and (tptp.r2_orders_1 A B) (= (tptp.k3_relat_1 A) B) (tptp.r4_orders_1 A B) (forall ((C $$unsorted)) (not (tptp.r6_orders_1 A C)))))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (forall ((B $$unsorted)) (not (and (tptp.r2_orders_1 A B) (= (tptp.k3_relat_1 A) B) (tptp.r5_orders_1 A B) (forall ((C $$unsorted)) (not (tptp.r7_orders_1 A C)))))))) (forall ((A $$unsorted)) (not (and (not (= A tptp.k1_xboole_0)) (forall ((B $$unsorted)) (not (and (tptp.r1_tarski B A) (tptp.v6_ordinal1 B) (forall ((C $$unsorted)) (not (and (tptp.r2_hidden C A) (forall ((D $$unsorted)) (=> (tptp.r2_hidden D B) (tptp.r1_tarski D C))))))))) (forall ((B $$unsorted)) (not (and (tptp.r2_hidden B A) (forall ((C $$unsorted)) (not (and (tptp.r2_hidden C A) (not (= C B)) (tptp.r1_tarski B C)))))))))) (forall ((A $$unsorted)) (not (and (not (= A tptp.k1_xboole_0)) (forall ((B $$unsorted)) (not (and (tptp.r1_tarski B A) (tptp.v6_ordinal1 B) (forall ((C $$unsorted)) (not (and (tptp.r2_hidden C A) (forall ((D $$unsorted)) (=> (tptp.r2_hidden D B) (tptp.r1_tarski C D))))))))) (forall ((B $$unsorted)) (not (and (tptp.r2_hidden B A) (forall ((C $$unsorted)) (not (and (tptp.r2_hidden C A) (not (= C B)) (tptp.r1_tarski C B)))))))))) (forall ((A $$unsorted)) (not (and (not (= A tptp.k1_xboole_0)) (forall ((B $$unsorted)) (=> (and (tptp.r1_tarski B A) (tptp.v6_ordinal1 B)) (or (= B tptp.k1_xboole_0) (tptp.r2_hidden (tptp.k3_tarski B) A)))) (forall ((B $$unsorted)) (not (and (tptp.r2_hidden B A) (forall ((C $$unsorted)) (not (and (tptp.r2_hidden C A) (not (= C B)) (tptp.r1_tarski B C)))))))))) (forall ((A $$unsorted)) (not (and (not (= A tptp.k1_xboole_0)) (forall ((B $$unsorted)) (=> (and (tptp.r1_tarski B A) (tptp.v6_ordinal1 B)) (or (= B tptp.k1_xboole_0) (tptp.r2_hidden (tptp.k1_setfam_1 B) A)))) (forall ((B $$unsorted)) (not (and (tptp.r2_hidden B A) (forall ((C $$unsorted)) (not (and (tptp.r2_hidden C A) (not (= C B)) (tptp.r1_tarski C B)))))))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (forall ((B $$unsorted)) (not (and (tptp.r2_orders_1 A B) (= (tptp.k3_relat_1 A) B) (forall ((C $$unsorted)) (=> (tptp.v1_relat_1 C) (not (and (tptp.r1_tarski A C) (tptp.r3_orders_1 C B) (= (tptp.k3_relat_1 C) B)))))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k3_relat_1 A))) (=> (tptp.v1_relat_1 A) (tptp.r1_tarski A (tptp.k2_zfmisc_1 _let_1 _let_1))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_2 A) (tptp.r1_tarski B (tptp.k3_relat_1 A))) (= (tptp.k3_relat_1 (tptp.k2_wellord1 A B)) B))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (forall ((B $$unsorted)) (=> (tptp.r1_relat_2 A B) (tptp.v1_relat_2 (tptp.k2_wellord1 A B)))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (forall ((B $$unsorted)) (=> (tptp.r8_relat_2 A B) (tptp.v8_relat_2 (tptp.k2_wellord1 A B)))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (forall ((B $$unsorted)) (=> (tptp.r4_relat_2 A B) (tptp.v4_relat_2 (tptp.k2_wellord1 A B)))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (forall ((B $$unsorted)) (=> (tptp.r6_relat_2 A B) (tptp.v6_relat_2 (tptp.k2_wellord1 A B)))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (forall ((B $$unsorted) (C $$unsorted)) (=> (and (tptp.r6_relat_2 A B) (tptp.r1_tarski C B)) (tptp.r6_relat_2 A C))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (forall ((B $$unsorted) (C $$unsorted)) (=> (and (tptp.r2_wellord1 A B) (tptp.r1_tarski C B)) (tptp.r2_wellord1 A C))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (=> (tptp.v6_relat_2 A) (tptp.v6_relat_2 (tptp.k4_relat_1 A))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (forall ((B $$unsorted)) (=> (tptp.r1_relat_2 A B) (tptp.r1_relat_2 (tptp.k4_relat_1 A) B))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (forall ((B $$unsorted)) (=> (tptp.r8_relat_2 A B) (tptp.r8_relat_2 (tptp.k4_relat_1 A) B))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (forall ((B $$unsorted)) (=> (tptp.r4_relat_2 A B) (tptp.r4_relat_2 (tptp.k4_relat_1 A) B))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (forall ((B $$unsorted)) (=> (tptp.r6_relat_2 A B) (tptp.r6_relat_2 (tptp.k4_relat_1 A) B))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (forall ((B $$unsorted)) (= (tptp.k4_relat_1 (tptp.k2_wellord1 A B)) (tptp.k2_wellord1 (tptp.k4_relat_1 A) B))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (= (tptp.k2_wellord1 A tptp.k1_xboole_0) tptp.k1_xboole_0))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted)) (not (and (tptp.v1_finset_1 B) (tptp.r1_tarski B (tptp.k2_relat_1 A)) (forall ((C $$unsorted)) (not (and (tptp.r1_tarski C (tptp.k1_relat_1 A)) (tptp.v1_finset_1 C) (= (tptp.k9_relat_1 A C) B))))))))) (=> (and (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.f1_s1_orders_1) (tptp.p1_s1_orders_1 A A))) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.f1_s1_orders_1) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.f1_s1_orders_1) (=> (and (tptp.p1_s1_orders_1 A B) (tptp.p1_s1_orders_1 B A)) (= A B)))))) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.f1_s1_orders_1) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.f1_s1_orders_1) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C tptp.f1_s1_orders_1) (=> (and (tptp.p1_s1_orders_1 A B) (tptp.p1_s1_orders_1 B C)) (tptp.p1_s1_orders_1 A C)))))))) (forall ((A $$unsorted)) (not (and (tptp.r1_tarski A tptp.f1_s1_orders_1) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.f1_s1_orders_1) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C tptp.f1_s1_orders_1) (not (and (tptp.r2_hidden B A) (tptp.r2_hidden C A) (not (tptp.p1_s1_orders_1 B C)) (not (tptp.p1_s1_orders_1 C B)))))))) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.f1_s1_orders_1) (exists ((C $$unsorted)) (and (tptp.m1_subset_1 C tptp.f1_s1_orders_1) (tptp.r2_hidden C A) (not (tptp.p1_s1_orders_1 C B)))))))))) (exists ((A $$unsorted)) (and (tptp.m1_subset_1 A tptp.f1_s1_orders_1) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.f1_s1_orders_1) (not (and (not (= A B)) (tptp.p1_s1_orders_1 A B)))))))) (=> (and (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.f1_s2_orders_1) (tptp.p1_s2_orders_1 A A))) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.f1_s2_orders_1) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.f1_s2_orders_1) (=> (and (tptp.p1_s2_orders_1 A B) (tptp.p1_s2_orders_1 B A)) (= A B)))))) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.f1_s2_orders_1) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.f1_s2_orders_1) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C tptp.f1_s2_orders_1) (=> (and (tptp.p1_s2_orders_1 A B) (tptp.p1_s2_orders_1 B C)) (tptp.p1_s2_orders_1 A C)))))))) (forall ((A $$unsorted)) (not (and (tptp.r1_tarski A tptp.f1_s2_orders_1) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.f1_s2_orders_1) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C tptp.f1_s2_orders_1) (not (and (tptp.r2_hidden B A) (tptp.r2_hidden C A) (not (tptp.p1_s2_orders_1 B C)) (not (tptp.p1_s2_orders_1 C B)))))))) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.f1_s2_orders_1) (exists ((C $$unsorted)) (and (tptp.m1_subset_1 C tptp.f1_s2_orders_1) (tptp.r2_hidden C A) (not (tptp.p1_s2_orders_1 B C)))))))))) (exists ((A $$unsorted)) (and (tptp.m1_subset_1 A tptp.f1_s2_orders_1) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.f1_s2_orders_1) (not (and (not (= A B)) (tptp.p1_s2_orders_1 B A)))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k3_tarski A))) (=> (tptp.m1_orders_1 B A) (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B A _let_1) (tptp.m2_relset_1 B A _let_1))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (exists ((B $$unsorted)) (tptp.m1_orders_1 B A)))) true (forall ((A $$unsorted)) (let ((_let_1 (tptp.k1_eqrel_1 A))) (and (tptp.v1_relat_1 _let_1) (tptp.v1_relat_2 _let_1) (tptp.v1_partfun1 _let_1 A A)))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k1_eqrel_1 A))) (and (tptp.v1_relat_1 _let_1) (tptp.v1_relat_2 _let_1) (tptp.v3_relat_2 _let_1) (tptp.v8_relat_2 _let_1) (tptp.v1_partfun1 _let_1 A A)))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (tptp.m1_eqrel_1 B A) (not (tptp.v1_xboole_0 B)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_eqrel_1 B A) (tptp.v1_setfam_1 B))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v3_relat_2 B) (tptp.v8_relat_2 B) (tptp.v1_partfun1 B A A) (tptp.m1_relset_1 B A A)) (not (tptp.v1_xboole_0 (tptp.k7_eqrel_1 A B))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k7_eqrel_1 A B))) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v3_relat_2 B) (tptp.v8_relat_2 B) (tptp.v1_partfun1 B A A) (tptp.m1_relset_1 B A A)) (and (not (tptp.v1_xboole_0 _let_1)) (tptp.v1_setfam_1 _let_1))))) (forall ((A $$unsorted)) (= (tptp.k1_eqrel_1 A) (tptp.k2_zfmisc_1 A A))) true true true (forall ((A $$unsorted)) (let ((_let_1 (tptp.k6_partfun1 A))) (and (tptp.r1_relat_2 _let_1 A) (tptp.r3_relat_2 _let_1 A) (tptp.r8_relat_2 _let_1 A)))) true (forall ((A $$unsorted)) (let ((_let_1 (tptp.k6_partfun1 A))) (and (tptp.v3_relat_2 _let_1) (tptp.v8_relat_2 _let_1) (tptp.v1_partfun1 _let_1 A A) (tptp.m2_relset_1 _let_1 A A)))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k1_eqrel_1 A))) (and (tptp.v3_relat_2 _let_1) (tptp.v8_relat_2 _let_1) (tptp.v1_partfun1 _let_1 A A) (tptp.m2_relset_1 _let_1 A A)))) true true true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_relat_2 C) (tptp.v1_partfun1 C A A) (tptp.m2_relset_1 C A A)) (=> (tptp.r2_hidden B A) (tptp.r2_hidden (tptp.k4_tarski B B) C)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.v3_relat_2 D) (tptp.v1_partfun1 D A A) (tptp.m2_relset_1 D A A)) (=> (tptp.r2_hidden (tptp.k4_tarski B C) D) (tptp.r2_hidden (tptp.k4_tarski C B) D)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (=> (and (tptp.v8_relat_2 E) (tptp.v1_partfun1 E A A) (tptp.m2_relset_1 E A A)) (=> (and (tptp.r2_hidden (tptp.k4_tarski B C) E) (tptp.r2_hidden (tptp.k4_tarski C D) E)) (tptp.r2_hidden (tptp.k4_tarski B D) E)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_relat_2 B) (tptp.v1_partfun1 B A A) (tptp.m2_relset_1 B A A)) (not (and (exists ((C $$unsorted)) (tptp.r2_hidden C A)) (= B tptp.k1_xboole_0))))) true (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.v8_relat_2 B))) (let ((_let_2 (tptp.v3_relat_2 B))) (let ((_let_3 (tptp.m2_relset_1 B A A))) (=> _let_3 (= (and _let_2 _let_1 (tptp.v1_partfun1 B A A) _let_3) (and (tptp.v1_relat_2 B) _let_2 _let_1 (= (tptp.k3_relat_1 B) A)))))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k6_partfun1 A))) (=> (and (tptp.v3_relat_2 B) (tptp.v8_relat_2 B) (tptp.v1_partfun1 B A A) (tptp.m2_relset_1 B A A)) (= (tptp.k4_eqrel_1 A _let_1 B) _let_1)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m2_relset_1 B A A) (= (tptp.k2_eqrel_1 A (tptp.k1_eqrel_1 A) B) B))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A A))) (let ((_let_2 (tptp.k6_setfam_1 _let_1 B))) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 _let_1))) (=> (forall ((C $$unsorted)) (=> (tptp.r2_hidden C B) (and (tptp.v3_relat_2 C) (tptp.v8_relat_2 C) (tptp.v1_partfun1 C A A) (tptp.m2_relset_1 C A A)))) (or (= B tptp.k1_xboole_0) (and (tptp.v3_relat_2 _let_2) (tptp.v8_relat_2 _let_2) (tptp.v1_partfun1 _let_2 A A) (tptp.m2_relset_1 _let_2 A A)))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m2_relset_1 B A A) (exists ((C $$unsorted)) (and (tptp.v3_relat_2 C) (tptp.v8_relat_2 C) (tptp.v1_partfun1 C A A) (tptp.m2_relset_1 C A A) (tptp.r1_tarski B C) (forall ((D $$unsorted)) (=> (and (tptp.v3_relat_2 D) (tptp.v8_relat_2 D) (tptp.v1_partfun1 D A A) (tptp.m2_relset_1 D A A)) (=> (tptp.r1_tarski B D) (tptp.r1_tarski C D)))))))) true (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v3_relat_2 B) (tptp.v8_relat_2 B) (tptp.v1_partfun1 B A A) (tptp.m2_relset_1 B A A)) (forall ((C $$unsorted)) (=> (and (tptp.v3_relat_2 C) (tptp.v8_relat_2 C) (tptp.v1_partfun1 C A A) (tptp.m2_relset_1 C A A)) (forall ((D $$unsorted)) (=> (and (tptp.v3_relat_2 D) (tptp.v8_relat_2 D) (tptp.v1_partfun1 D A A) (tptp.m2_relset_1 D A A)) (= (= D (tptp.k5_eqrel_1 A B C)) (and (tptp.r1_tarski (tptp.k3_eqrel_1 A B C) D) (forall ((E $$unsorted)) (=> (and (tptp.v3_relat_2 E) (tptp.v8_relat_2 E) (tptp.v1_partfun1 E A A) (tptp.m2_relset_1 E A A)) (=> (tptp.r1_tarski (tptp.k3_eqrel_1 A B C) E) (tptp.r1_tarski D E)))))))))))) true (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v3_relat_2 B) (tptp.v8_relat_2 B) (tptp.v1_partfun1 B A A) (tptp.m2_relset_1 B A A)) (= (tptp.k5_eqrel_1 A B B) B))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v3_relat_2 B) (tptp.v8_relat_2 B) (tptp.v1_partfun1 B A A) (tptp.m2_relset_1 B A A)) (forall ((C $$unsorted)) (=> (and (tptp.v3_relat_2 C) (tptp.v8_relat_2 C) (tptp.v1_partfun1 C A A) (tptp.m2_relset_1 C A A)) (= (tptp.k5_eqrel_1 A B C) (tptp.k5_eqrel_1 A C B)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v3_relat_2 B) (tptp.v8_relat_2 B) (tptp.v1_partfun1 B A A) (tptp.m2_relset_1 B A A)) (forall ((C $$unsorted)) (=> (and (tptp.v3_relat_2 C) (tptp.v8_relat_2 C) (tptp.v1_partfun1 C A A) (tptp.m2_relset_1 C A A)) (= (tptp.k4_eqrel_1 A B (tptp.k5_eqrel_1 A B C)) B))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v3_relat_2 B) (tptp.v8_relat_2 B) (tptp.v1_partfun1 B A A) (tptp.m2_relset_1 B A A)) (forall ((C $$unsorted)) (=> (and (tptp.v3_relat_2 C) (tptp.v8_relat_2 C) (tptp.v1_partfun1 C A A) (tptp.m2_relset_1 C A A)) (= (tptp.k5_eqrel_1 A B (tptp.k4_eqrel_1 A B C)) B))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_relat_2 B) (tptp.v3_relat_2 B) (tptp.v1_partfun1 B A A) (tptp.m2_relset_1 B A A)) (forall ((C $$unsorted)) (= (tptp.k6_eqrel_1 A B C) (tptp.k10_relset_1 A A B (tptp.k1_tarski C)))))) true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.v1_relat_2 D) (tptp.v3_relat_2 D) (tptp.v1_partfun1 D A A) (tptp.m2_relset_1 D A A)) (= (tptp.r2_hidden B (tptp.k6_eqrel_1 A D C)) (tptp.r2_hidden (tptp.k4_tarski B C) D)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_relat_2 B) (tptp.v3_relat_2 B) (tptp.v1_partfun1 B A A) (tptp.m2_relset_1 B A A)) (forall ((C $$unsorted)) (=> (tptp.r2_hidden C A) (tptp.r2_hidden C (tptp.k6_eqrel_1 A B C)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_relat_2 B) (tptp.v3_relat_2 B) (tptp.v1_partfun1 B A A) (tptp.m2_relset_1 B A A)) (forall ((C $$unsorted)) (not (and (tptp.r2_hidden C A) (forall ((D $$unsorted)) (not (tptp.r2_hidden C (tptp.k6_eqrel_1 A B D))))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (let ((_let_1 (tptp.k6_eqrel_1 A E C))) (=> (and (tptp.v1_relat_2 E) (tptp.v3_relat_2 E) (tptp.v8_relat_2 E) (tptp.v1_partfun1 E A A) (tptp.m2_relset_1 E A A)) (=> (and (tptp.r2_hidden B _let_1) (tptp.r2_hidden D _let_1)) (tptp.r2_hidden (tptp.k4_tarski B D) E))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v3_relat_2 C) (tptp.v8_relat_2 C) (tptp.v1_partfun1 C A A) (tptp.m2_relset_1 C A A)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k6_eqrel_1 A C D))) (=> (tptp.r2_hidden D A) (= (tptp.r2_hidden B _let_1) (= _let_1 (tptp.k6_eqrel_1 A C B)))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v3_relat_2 B) (tptp.v8_relat_2 B) (tptp.v1_partfun1 B A A) (tptp.m2_relset_1 B A A)) (forall ((C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k6_eqrel_1 A B D))) (let ((_let_2 (tptp.k6_eqrel_1 A B C))) (not (and (tptp.r2_hidden C A) (tptp.r2_hidden D A) (not (= _let_2 _let_1)) (not (tptp.r1_xboole_0 _let_2 _let_1))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.r2_hidden B A) (= (tptp.k6_eqrel_1 A (tptp.k6_partfun1 A) B) (tptp.k1_tarski B)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.r2_hidden B A) (= (tptp.k6_eqrel_1 A (tptp.k1_eqrel_1 A) B) A))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v3_relat_2 B) (tptp.v8_relat_2 B) (tptp.v1_partfun1 B A A) (tptp.m2_relset_1 B A A)) (=> (exists ((C $$unsorted)) (= (tptp.k6_eqrel_1 A B C) A)) (= B (tptp.k1_eqrel_1 A))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.v3_relat_2 D) (tptp.v8_relat_2 D) (tptp.v1_partfun1 D B B) (tptp.m2_relset_1 D B B)) (forall ((E $$unsorted)) (=> (and (tptp.v3_relat_2 E) (tptp.v8_relat_2 E) (tptp.v1_partfun1 E B B) (tptp.m2_relset_1 E B B)) (=> (tptp.r2_hidden A B) (= (tptp.r2_hidden (tptp.k4_tarski A C) (tptp.k5_eqrel_1 B D E)) (exists ((F $$unsorted)) (let ((_let_1 (tptp.k3_finseq_1 F))) (and (tptp.v1_relat_1 F) (tptp.v1_funct_1 F) (tptp.v1_finseq_1 F) (tptp.r1_xreal_0 tptp.np__1 _let_1) (= A (tptp.k1_funct_1 F tptp.np__1)) (= C (tptp.k1_funct_1 F _let_1)) (forall ((G $$unsorted)) (=> (tptp.m2_subset_1 G tptp.k1_numbers tptp.k5_numbers) (=> (tptp.r1_xreal_0 tptp.np__1 G) (or (tptp.r1_xreal_0 (tptp.k3_finseq_1 F) G) (tptp.r2_hidden (tptp.k4_tarski (tptp.k1_funct_1 F G) (tptp.k1_funct_1 F (tptp.k1_nat_1 G tptp.np__1))) (tptp.k3_eqrel_1 B D E))))))))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v3_relat_2 B) (tptp.v8_relat_2 B) (tptp.v1_partfun1 B A A) (tptp.m2_relset_1 B A A)) (forall ((C $$unsorted)) (=> (and (tptp.v3_relat_2 C) (tptp.v8_relat_2 C) (tptp.v1_partfun1 C A A) (tptp.m2_relset_1 C A A)) (forall ((D $$unsorted)) (=> (and (tptp.v3_relat_2 D) (tptp.v8_relat_2 D) (tptp.v1_partfun1 D A A) (tptp.m2_relset_1 D A A)) (=> (= D (tptp.k3_eqrel_1 A B C)) (forall ((E $$unsorted)) (let ((_let_1 (tptp.k6_eqrel_1 A D E))) (not (and (tptp.r2_hidden E A) (not (= _let_1 (tptp.k6_eqrel_1 A B E))) (not (= _let_1 (tptp.k6_eqrel_1 A C E)))))))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v3_relat_2 B) (tptp.v8_relat_2 B) (tptp.v1_partfun1 B A A) (tptp.m2_relset_1 B A A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k1_eqrel_1 A))) (=> (and (tptp.v3_relat_2 C) (tptp.v8_relat_2 C) (tptp.v1_partfun1 C A A) (tptp.m2_relset_1 C A A)) (not (and (= (tptp.k3_eqrel_1 A B C) _let_1) (not (= B _let_1)) (not (= C _let_1))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v3_relat_2 B) (tptp.v8_relat_2 B) (tptp.v1_partfun1 B A A) (tptp.m2_relset_1 B A A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 A))) (= (= C (tptp.k7_eqrel_1 A B)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 A)) (= (tptp.r2_hidden D C) (exists ((E $$unsorted)) (and (tptp.r2_hidden E A) (= D (tptp.k6_eqrel_1 A B E)))))))))))) true (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v3_relat_2 B) (tptp.v8_relat_2 B) (tptp.v1_partfun1 B A A) (tptp.m2_relset_1 B A A)) (=> (= A tptp.k1_xboole_0) (= (tptp.k7_eqrel_1 A B) tptp.k1_xboole_0)))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.m1_eqrel_1 B A))) (let ((_let_2 (= A tptp.k1_xboole_0))) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 A))) (and (=> (not _let_2) (= _let_1 (and (= (tptp.k5_setfam_1 A B) A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 A)) (=> (tptp.r2_hidden C B) (and (not (= C tptp.k1_xboole_0)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 A)) (not (and (tptp.r2_hidden D B) (not (= C D)) (not (tptp.r1_xboole_0 C D))))))))))))) (=> _let_2 (= _let_1 (= B tptp.k1_xboole_0)))))))) true (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v3_relat_2 B) (tptp.v8_relat_2 B) (tptp.v1_partfun1 B A A) (tptp.m2_relset_1 B A A)) (tptp.m1_eqrel_1 (tptp.k7_eqrel_1 A B) A))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_eqrel_1 B A) (exists ((C $$unsorted)) (and (tptp.v3_relat_2 C) (tptp.v8_relat_2 C) (tptp.v1_partfun1 C A A) (tptp.m2_relset_1 C A A) (= B (tptp.k7_eqrel_1 A C)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v3_relat_2 C) (tptp.v8_relat_2 C) (tptp.v1_partfun1 C A A) (tptp.m2_relset_1 C A A)) (forall ((D $$unsorted)) (=> (tptp.r2_hidden D A) (= (tptp.r2_hidden (tptp.k4_tarski D B) C) (= (tptp.k6_eqrel_1 A C D) (tptp.k6_eqrel_1 A C B))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v3_relat_2 C) (tptp.v8_relat_2 C) (tptp.v1_partfun1 C B B) (tptp.m2_relset_1 C B B)) (not (and (tptp.r2_hidden A (tptp.k7_eqrel_1 B C)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D B) (not (= A (tptp.k6_eqrel_1 B C D))))))))) (=> (and (forall ((A $$unsorted)) (=> (tptp.r2_hidden A tptp.f1_s1_eqrel_1) (tptp.p1_s1_eqrel_1 A A))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.p1_s1_eqrel_1 A B) (tptp.p1_s1_eqrel_1 B A))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.p1_s1_eqrel_1 A B) (tptp.p1_s1_eqrel_1 B C)) (tptp.p1_s1_eqrel_1 A C)))) (exists ((A $$unsorted)) (and (tptp.v3_relat_2 A) (tptp.v8_relat_2 A) (tptp.v1_partfun1 A tptp.f1_s1_eqrel_1 tptp.f1_s1_eqrel_1) (tptp.m2_relset_1 A tptp.f1_s1_eqrel_1 tptp.f1_s1_eqrel_1) (forall ((B $$unsorted) (C $$unsorted)) (= (tptp.r2_hidden (tptp.k4_tarski B C) A) (and (tptp.r2_hidden B tptp.f1_s1_eqrel_1) (tptp.r2_hidden C tptp.f1_s1_eqrel_1) (tptp.p1_s1_eqrel_1 B C))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_eqrel_1 B A) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 A))))) (forall ((A $$unsorted)) (exists ((B $$unsorted)) (tptp.m1_eqrel_1 B A))) (forall ((A $$unsorted)) (tptp.m2_relset_1 (tptp.k1_eqrel_1 A) A A)) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.m1_relset_1 B A A) (tptp.m1_relset_1 C A A)) (tptp.m2_relset_1 (tptp.k2_eqrel_1 A B C) A A))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.m1_relset_1 B A A) (tptp.m1_relset_1 C A A)) (= (tptp.k2_eqrel_1 A B C) (tptp.k2_eqrel_1 A C B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.m1_relset_1 B A A) (tptp.m1_relset_1 C A A)) (= (tptp.k2_eqrel_1 A B B) B))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.m1_relset_1 B A A) (tptp.m1_relset_1 C A A)) (= (tptp.k2_eqrel_1 A B C) (tptp.k3_xboole_0 B C)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.m1_relset_1 B A A) (tptp.m1_relset_1 C A A)) (tptp.m2_relset_1 (tptp.k3_eqrel_1 A B C) A A))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.m1_relset_1 B A A) (tptp.m1_relset_1 C A A)) (= (tptp.k3_eqrel_1 A B C) (tptp.k3_eqrel_1 A C B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.m1_relset_1 B A A) (tptp.m1_relset_1 C A A)) (= (tptp.k3_eqrel_1 A B B) B))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.m1_relset_1 B A A) (tptp.m1_relset_1 C A A)) (= (tptp.k3_eqrel_1 A B C) (tptp.k2_xboole_0 B C)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k4_eqrel_1 A B C))) (=> (and (tptp.v3_relat_2 B) (tptp.v8_relat_2 B) (tptp.v1_partfun1 B A A) (tptp.m1_relset_1 B A A) (tptp.v3_relat_2 C) (tptp.v8_relat_2 C) (tptp.v1_partfun1 C A A) (tptp.m1_relset_1 C A A)) (and (tptp.v3_relat_2 _let_1) (tptp.v8_relat_2 _let_1) (tptp.v1_partfun1 _let_1 A A) (tptp.m2_relset_1 _let_1 A A))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v3_relat_2 B) (tptp.v8_relat_2 B) (tptp.v1_partfun1 B A A) (tptp.m1_relset_1 B A A) (tptp.v3_relat_2 C) (tptp.v8_relat_2 C) (tptp.v1_partfun1 C A A) (tptp.m1_relset_1 C A A)) (= (tptp.k4_eqrel_1 A B C) (tptp.k4_eqrel_1 A C B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v3_relat_2 B) (tptp.v8_relat_2 B) (tptp.v1_partfun1 B A A) (tptp.m1_relset_1 B A A) (tptp.v3_relat_2 C) (tptp.v8_relat_2 C) (tptp.v1_partfun1 C A A) (tptp.m1_relset_1 C A A)) (= (tptp.k4_eqrel_1 A B B) B))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v3_relat_2 B) (tptp.v8_relat_2 B) (tptp.v1_partfun1 B A A) (tptp.m1_relset_1 B A A) (tptp.v3_relat_2 C) (tptp.v8_relat_2 C) (tptp.v1_partfun1 C A A) (tptp.m1_relset_1 C A A)) (= (tptp.k4_eqrel_1 A B C) (tptp.k3_xboole_0 B C)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k5_eqrel_1 A B C))) (=> (and (tptp.v3_relat_2 B) (tptp.v8_relat_2 B) (tptp.v1_partfun1 B A A) (tptp.m1_relset_1 B A A) (tptp.v3_relat_2 C) (tptp.v8_relat_2 C) (tptp.v1_partfun1 C A A) (tptp.m1_relset_1 C A A)) (and (tptp.v3_relat_2 _let_1) (tptp.v8_relat_2 _let_1) (tptp.v1_partfun1 _let_1 A A) (tptp.m2_relset_1 _let_1 A A))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v3_relat_2 B) (tptp.v8_relat_2 B) (tptp.v1_partfun1 B A A) (tptp.m1_relset_1 B A A) (tptp.v3_relat_2 C) (tptp.v8_relat_2 C) (tptp.v1_partfun1 C A A) (tptp.m1_relset_1 C A A)) (= (tptp.k5_eqrel_1 A B C) (tptp.k5_eqrel_1 A C B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v3_relat_2 B) (tptp.v8_relat_2 B) (tptp.v1_partfun1 B A A) (tptp.m1_relset_1 B A A) (tptp.v3_relat_2 C) (tptp.v8_relat_2 C) (tptp.v1_partfun1 C A A) (tptp.m1_relset_1 C A A)) (= (tptp.k5_eqrel_1 A B B) B))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_relat_2 B) (tptp.v3_relat_2 B) (tptp.v1_partfun1 B A A) (tptp.m1_relset_1 B A A)) (tptp.m1_subset_1 (tptp.k6_eqrel_1 A B C) (tptp.k1_zfmisc_1 A)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v3_relat_2 B) (tptp.v8_relat_2 B) (tptp.v1_partfun1 B A A) (tptp.m1_relset_1 B A A)) (tptp.m1_subset_1 (tptp.k7_eqrel_1 A B) (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 A))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v3_relat_2 B) (tptp.v8_relat_2 B) (tptp.v1_partfun1 B A A) (tptp.m1_relset_1 B A A)) (tptp.m1_eqrel_1 (tptp.k8_eqrel_1 A B) A))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v3_relat_2 B) (tptp.v8_relat_2 B) (tptp.v1_partfun1 B A A) (tptp.m1_relset_1 B A A)) (= (tptp.k8_eqrel_1 A B) (tptp.k7_eqrel_1 A B)))) (= (tptp.k2_funct_4 tptp.k1_xboole_0) tptp.k1_xboole_0) (forall ((A $$unsorted) (B $$unsorted)) (= (= B (tptp.k1_funct_5 A)) (forall ((C $$unsorted)) (= (tptp.r2_hidden C B) (exists ((D $$unsorted)) (tptp.r2_hidden (tptp.k4_tarski C D) A)))))) (forall ((A $$unsorted) (B $$unsorted)) (= (= B (tptp.k2_funct_5 A)) (forall ((C $$unsorted)) (= (tptp.r2_hidden C B) (exists ((D $$unsorted)) (tptp.r2_hidden (tptp.k4_tarski D C) A)))))) true true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.r2_hidden (tptp.k4_tarski A B) C) (and (tptp.r2_hidden A (tptp.k1_funct_5 C)) (tptp.r2_hidden B (tptp.k2_funct_5 C))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.r1_tarski A B) (and (tptp.r1_tarski (tptp.k1_funct_5 A) (tptp.k1_funct_5 B)) (tptp.r1_tarski (tptp.k2_funct_5 A) (tptp.k2_funct_5 B))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k2_xboole_0 A B))) (and (= (tptp.k1_funct_5 _let_1) (tptp.k2_xboole_0 (tptp.k1_funct_5 A) (tptp.k1_funct_5 B))) (= (tptp.k2_funct_5 _let_1) (tptp.k2_xboole_0 (tptp.k2_funct_5 A) (tptp.k2_funct_5 B)))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k3_xboole_0 A B))) (and (tptp.r1_tarski (tptp.k1_funct_5 _let_1) (tptp.k3_xboole_0 (tptp.k1_funct_5 A) (tptp.k1_funct_5 B))) (tptp.r1_tarski (tptp.k2_funct_5 _let_1) (tptp.k3_xboole_0 (tptp.k2_funct_5 A) (tptp.k2_funct_5 B)))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k4_xboole_0 A B))) (and (tptp.r1_tarski (tptp.k4_xboole_0 (tptp.k1_funct_5 A) (tptp.k1_funct_5 B)) (tptp.k1_funct_5 _let_1)) (tptp.r1_tarski (tptp.k4_xboole_0 (tptp.k2_funct_5 A) (tptp.k2_funct_5 B)) (tptp.k2_funct_5 _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k5_xboole_0 A B))) (and (tptp.r1_tarski (tptp.k5_xboole_0 (tptp.k1_funct_5 A) (tptp.k1_funct_5 B)) (tptp.k1_funct_5 _let_1)) (tptp.r1_tarski (tptp.k5_xboole_0 (tptp.k2_funct_5 A) (tptp.k2_funct_5 B)) (tptp.k2_funct_5 _let_1))))) (and (= (tptp.k1_funct_5 tptp.k1_xboole_0) tptp.k1_xboole_0) (= (tptp.k2_funct_5 tptp.k1_xboole_0) tptp.k1_xboole_0)) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A B))) (let ((_let_2 (tptp.k2_zfmisc_1 B A))) (=> (not (and (= A tptp.k1_xboole_0) (= _let_2 tptp.k1_xboole_0) (= _let_1 tptp.k1_xboole_0))) (and (= (tptp.k1_funct_5 _let_2) B) (= (tptp.k2_funct_5 _let_1) B)))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A B))) (and (tptp.r1_tarski (tptp.k1_funct_5 _let_1) A) (tptp.r1_tarski (tptp.k2_funct_5 _let_1) B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.r1_tarski A (tptp.k2_zfmisc_1 B C)) (and (tptp.r1_tarski (tptp.k1_funct_5 A) B) (tptp.r1_tarski (tptp.k2_funct_5 A) C)))) true (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k1_tarski (tptp.k4_tarski A B)))) (and (= (tptp.k1_funct_5 _let_1) (tptp.k1_tarski A)) (= (tptp.k2_funct_5 _let_1) (tptp.k1_tarski B))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k2_tarski (tptp.k4_tarski A B) (tptp.k4_tarski C D)))) (and (= (tptp.k1_funct_5 _let_1) (tptp.k2_tarski A C)) (= (tptp.k2_funct_5 _let_1) (tptp.k2_tarski B D))))) (forall ((A $$unsorted)) (=> (forall ((B $$unsorted) (C $$unsorted)) (not (tptp.r2_hidden (tptp.k4_tarski B C) A))) (and (= (tptp.k1_funct_5 A) tptp.k1_xboole_0) (= (tptp.k2_funct_5 A) tptp.k1_xboole_0)))) (forall ((A $$unsorted)) (=> (or (= (tptp.k1_funct_5 A) tptp.k1_xboole_0) (= (tptp.k2_funct_5 A) tptp.k1_xboole_0)) (forall ((B $$unsorted) (C $$unsorted)) (not (tptp.r2_hidden (tptp.k4_tarski B C) A))))) (forall ((A $$unsorted)) (= (= (tptp.k1_funct_5 A) tptp.k1_xboole_0) (= (tptp.k2_funct_5 A) tptp.k1_xboole_0))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k1_relat_1 (tptp.k2_funct_4 A)))) (let ((_let_2 (tptp.k1_relat_1 A))) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (and (= (tptp.k1_funct_5 _let_2) (tptp.k2_funct_5 _let_1)) (= (tptp.k2_funct_5 _let_2) (tptp.k1_funct_5 _let_1))))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (and (= (tptp.k1_funct_5 A) (tptp.k1_relat_1 A)) (= (tptp.k2_funct_5 A) (tptp.k2_relat_1 A))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (= (= B (tptp.k3_funct_5 A)) (and (= (tptp.k1_relat_1 B) (tptp.k1_funct_5 (tptp.k1_relat_1 A))) (forall ((C $$unsorted)) (not (and (tptp.r2_hidden C (tptp.k1_funct_5 (tptp.k1_relat_1 A))) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k1_relat_1 A))) (=> (and (tptp.v1_relat_1 D) (tptp.v1_funct_1 D)) (not (and (= (tptp.k1_funct_1 B C) D) (= (tptp.k1_relat_1 D) (tptp.k2_funct_5 (tptp.k3_xboole_0 _let_1 (tptp.k2_zfmisc_1 (tptp.k1_tarski C) (tptp.k2_funct_5 _let_1))))) (forall ((E $$unsorted)) (=> (tptp.r2_hidden E (tptp.k1_relat_1 D)) (= (tptp.k1_funct_1 D E) (tptp.k1_funct_1 A (tptp.k4_tarski C E))))))))))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (= (= B (tptp.k4_funct_5 A)) (and (forall ((C $$unsorted)) (= (tptp.r2_hidden C (tptp.k1_relat_1 B)) (exists ((D $$unsorted) (E $$unsorted)) (and (tptp.v1_relat_1 E) (tptp.v1_funct_1 E) (exists ((F $$unsorted)) (and (= C (tptp.k4_tarski D F)) (tptp.r2_hidden D (tptp.k1_relat_1 A)) (= E (tptp.k1_funct_1 A D)) (tptp.r2_hidden F (tptp.k1_relat_1 E)))))))) (forall ((C $$unsorted) (D $$unsorted)) (=> (and (tptp.v1_relat_1 D) (tptp.v1_funct_1 D)) (=> (and (tptp.r2_hidden C (tptp.k1_relat_1 B)) (= D (tptp.k1_funct_1 A (tptp.k1_mcart_1 C)))) (= (tptp.k1_funct_1 B C) (tptp.k1_funct_1 D (tptp.k2_mcart_1 C)))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (= (tptp.k5_funct_5 A) (tptp.k3_funct_5 (tptp.k2_funct_4 A))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (= (tptp.k6_funct_5 A) (tptp.k2_funct_4 (tptp.k4_funct_5 A))))) true true true true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k3_funct_5 C))) (let ((_let_2 (tptp.k1_funct_1 _let_1 A))) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (=> (tptp.r2_hidden (tptp.k4_tarski A B) (tptp.k1_relat_1 C)) (and (tptp.r2_hidden A (tptp.k1_relat_1 _let_1)) (tptp.v1_relat_1 _let_2) (tptp.v1_funct_1 _let_2))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k4_tarski A B))) (=> (and (tptp.v1_relat_1 D) (tptp.v1_funct_1 D)) (=> (and (tptp.r2_hidden _let_1 (tptp.k1_relat_1 C)) (= D (tptp.k1_funct_1 (tptp.k3_funct_5 C) A))) (and (tptp.r2_hidden B (tptp.k1_relat_1 D)) (= (tptp.k1_funct_1 D B) (tptp.k1_funct_1 C _let_1))))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k5_funct_5 C))) (let ((_let_2 (tptp.k1_funct_1 _let_1 B))) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (=> (tptp.r2_hidden (tptp.k4_tarski A B) (tptp.k1_relat_1 C)) (and (tptp.r2_hidden B (tptp.k1_relat_1 _let_1)) (tptp.v1_relat_1 _let_2) (tptp.v1_funct_1 _let_2))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k4_tarski A B))) (=> (and (tptp.v1_relat_1 D) (tptp.v1_funct_1 D)) (=> (and (tptp.r2_hidden _let_1 (tptp.k1_relat_1 C)) (= D (tptp.k1_funct_1 (tptp.k5_funct_5 C) B))) (and (tptp.r2_hidden A (tptp.k1_relat_1 D)) (= (tptp.k1_funct_1 D A) (tptp.k1_funct_1 C _let_1))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (= (tptp.k1_relat_1 (tptp.k5_funct_5 A)) (tptp.k2_funct_5 (tptp.k1_relat_1 A))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A B))) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (=> (= (tptp.k1_relat_1 C) _let_1) (or (= _let_1 tptp.k1_xboole_0) (and (= (tptp.k1_relat_1 (tptp.k3_funct_5 C)) A) (= (tptp.k1_relat_1 (tptp.k5_funct_5 C)) B))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (=> (tptp.r1_tarski (tptp.k1_relat_1 C) (tptp.k2_zfmisc_1 A B)) (and (tptp.r1_tarski (tptp.k1_relat_1 (tptp.k3_funct_5 C)) A) (tptp.r1_tarski (tptp.k1_relat_1 (tptp.k5_funct_5 C)) B))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k1_relat_1 C))) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (=> (tptp.r1_tarski (tptp.k2_relat_1 C) (tptp.k1_funct_2 A B)) (and (= (tptp.k1_relat_1 (tptp.k4_funct_5 C)) (tptp.k2_zfmisc_1 _let_1 A)) (= (tptp.k1_relat_1 (tptp.k6_funct_5 C)) (tptp.k2_zfmisc_1 A _let_1))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (=> (forall ((B $$unsorted) (C $$unsorted)) (not (tptp.r2_hidden (tptp.k4_tarski B C) (tptp.k1_relat_1 A)))) (and (= (tptp.k3_funct_5 A) tptp.k1_xboole_0) (= (tptp.k5_funct_5 A) tptp.k1_xboole_0))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (=> (forall ((B $$unsorted)) (let ((_let_1 (tptp.k1_funct_1 A B))) (not (and (tptp.r2_hidden B (tptp.k1_relat_1 A)) (tptp.v1_relat_1 _let_1) (tptp.v1_funct_1 _let_1))))) (and (= (tptp.k4_funct_5 A) tptp.k1_xboole_0) (= (tptp.k6_funct_5 A) tptp.k1_xboole_0))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A B))) (=> (and (tptp.v1_relat_1 D) (tptp.v1_funct_1 D)) (not (and (not (= _let_1 tptp.k1_xboole_0)) (= (tptp.k1_relat_1 D) _let_1) (tptp.r2_hidden C A) (forall ((E $$unsorted)) (=> (and (tptp.v1_relat_1 E) (tptp.v1_funct_1 E)) (not (and (= (tptp.k1_funct_1 (tptp.k3_funct_5 D) C) E) (= (tptp.k1_relat_1 E) B) (tptp.r1_tarski (tptp.k2_relat_1 E) (tptp.k2_relat_1 D)) (forall ((F $$unsorted)) (=> (tptp.r2_hidden F B) (= (tptp.k1_funct_1 E F) (tptp.k1_funct_1 D (tptp.k4_tarski C F)))))))))))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k3_funct_5 B))) (let ((_let_2 (tptp.k1_funct_1 _let_1 A))) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (=> (tptp.r2_hidden A (tptp.k1_relat_1 _let_1)) (and (tptp.v1_relat_1 _let_2) (tptp.v1_funct_1 _let_2))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k1_relat_1 B))) (let ((_let_2 (tptp.k2_funct_5 _let_1))) (let ((_let_3 (tptp.k1_relat_1 C))) (let ((_let_4 (tptp.k3_funct_5 B))) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (=> (and (tptp.r2_hidden A (tptp.k1_relat_1 _let_4)) (= C (tptp.k1_funct_1 _let_4 A))) (and (= _let_3 (tptp.k2_funct_5 (tptp.k3_xboole_0 _let_1 (tptp.k2_zfmisc_1 (tptp.k1_tarski A) _let_2)))) (tptp.r1_tarski _let_3 _let_2) (tptp.r1_tarski (tptp.k2_relat_1 C) (tptp.k2_relat_1 B)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k4_tarski A D))) (=> (tptp.r2_hidden D (tptp.k1_relat_1 C)) (and (= (tptp.k1_funct_1 C D) (tptp.k1_funct_1 B _let_1)) (tptp.r2_hidden _let_1 (tptp.k1_relat_1 B)))))))))))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A B))) (=> (and (tptp.v1_relat_1 D) (tptp.v1_funct_1 D)) (not (and (not (= _let_1 tptp.k1_xboole_0)) (= (tptp.k1_relat_1 D) _let_1) (tptp.r2_hidden C B) (forall ((E $$unsorted)) (=> (and (tptp.v1_relat_1 E) (tptp.v1_funct_1 E)) (not (and (= (tptp.k1_funct_1 (tptp.k5_funct_5 D) C) E) (= (tptp.k1_relat_1 E) A) (tptp.r1_tarski (tptp.k2_relat_1 E) (tptp.k2_relat_1 D)) (forall ((F $$unsorted)) (=> (tptp.r2_hidden F A) (= (tptp.k1_funct_1 E F) (tptp.k1_funct_1 D (tptp.k4_tarski F C)))))))))))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k5_funct_5 B))) (let ((_let_2 (tptp.k1_funct_1 _let_1 A))) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (=> (tptp.r2_hidden A (tptp.k1_relat_1 _let_1)) (and (tptp.v1_relat_1 _let_2) (tptp.v1_funct_1 _let_2))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k1_relat_1 B))) (let ((_let_2 (tptp.k1_funct_5 _let_1))) (let ((_let_3 (tptp.k1_relat_1 C))) (let ((_let_4 (tptp.k5_funct_5 B))) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (=> (and (tptp.r2_hidden A (tptp.k1_relat_1 _let_4)) (= C (tptp.k1_funct_1 _let_4 A))) (and (= _let_3 (tptp.k1_funct_5 (tptp.k3_xboole_0 _let_1 (tptp.k2_zfmisc_1 _let_2 (tptp.k1_tarski A))))) (tptp.r1_tarski _let_3 _let_2) (tptp.r1_tarski (tptp.k2_relat_1 C) (tptp.k2_relat_1 B)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k4_tarski D A))) (=> (tptp.r2_hidden D (tptp.k1_relat_1 C)) (and (= (tptp.k1_funct_1 C D) (tptp.k1_funct_1 B _let_1)) (tptp.r2_hidden _let_1 (tptp.k1_relat_1 B)))))))))))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k2_relat_1 C))) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (=> (= (tptp.k1_relat_1 C) (tptp.k2_zfmisc_1 A B)) (and (tptp.r1_tarski (tptp.k2_relat_1 (tptp.k3_funct_5 C)) (tptp.k1_funct_2 B _let_1)) (tptp.r1_tarski (tptp.k2_relat_1 (tptp.k5_funct_5 C)) (tptp.k1_funct_2 A _let_1))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k2_relat_1 A))) (let ((_let_2 (tptp.k1_relat_1 A))) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (and (tptp.r1_tarski (tptp.k2_relat_1 (tptp.k3_funct_5 A)) (tptp.k4_partfun1 (tptp.k2_funct_5 _let_2) _let_1)) (tptp.r1_tarski (tptp.k2_relat_1 (tptp.k5_funct_5 A)) (tptp.k4_partfun1 (tptp.k1_funct_5 _let_2) _let_1))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k1_relat_1 C))) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (=> (tptp.r1_tarski (tptp.k2_relat_1 C) (tptp.k4_partfun1 A B)) (and (tptp.r1_tarski (tptp.k1_relat_1 (tptp.k4_funct_5 C)) (tptp.k2_zfmisc_1 _let_1 A)) (tptp.r1_tarski (tptp.k1_relat_1 (tptp.k6_funct_5 C)) (tptp.k2_zfmisc_1 A _let_1))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k4_funct_5 C))) (let ((_let_2 (tptp.k1_funct_1 D B))) (let ((_let_3 (tptp.k4_tarski A B))) (=> (and (tptp.v1_relat_1 D) (tptp.v1_funct_1 D)) (=> (and (tptp.r2_hidden A (tptp.k1_relat_1 C)) (= D (tptp.k1_funct_1 C A)) (tptp.r2_hidden B (tptp.k1_relat_1 D))) (and (tptp.r2_hidden _let_3 (tptp.k1_relat_1 _let_1)) (= (tptp.k1_funct_1 _let_1 _let_3) _let_2) (tptp.r2_hidden _let_2 (tptp.k2_relat_1 _let_1))))))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k6_funct_5 C))) (let ((_let_2 (tptp.k1_funct_1 D B))) (let ((_let_3 (tptp.k4_tarski B A))) (=> (and (tptp.v1_relat_1 D) (tptp.v1_funct_1 D)) (=> (and (tptp.r2_hidden A (tptp.k1_relat_1 C)) (= D (tptp.k1_funct_1 C A)) (tptp.r2_hidden B (tptp.k1_relat_1 D))) (and (tptp.r2_hidden _let_3 (tptp.k1_relat_1 _let_1)) (= (tptp.k1_funct_1 _let_1 _let_3) _let_2) (tptp.r2_hidden _let_2 (tptp.k2_relat_1 _let_1))))))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (=> (tptp.r1_tarski (tptp.k2_relat_1 C) (tptp.k4_partfun1 A B)) (and (tptp.r1_tarski (tptp.k2_relat_1 (tptp.k4_funct_5 C)) B) (tptp.r1_tarski (tptp.k2_relat_1 (tptp.k6_funct_5 C)) B))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (=> (tptp.r1_tarski (tptp.k2_relat_1 C) (tptp.k1_funct_2 A B)) (and (tptp.r1_tarski (tptp.k2_relat_1 (tptp.k4_funct_5 C)) B) (tptp.r1_tarski (tptp.k2_relat_1 (tptp.k6_funct_5 C)) B))))) (and (= (tptp.k3_funct_5 tptp.k1_xboole_0) tptp.k1_xboole_0) (= (tptp.k5_funct_5 tptp.k1_xboole_0) tptp.k1_xboole_0)) (and (= (tptp.k4_funct_5 tptp.k1_xboole_0) tptp.k1_xboole_0) (= (tptp.k6_funct_5 tptp.k1_xboole_0) tptp.k1_xboole_0)) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A B))) (=> (and (tptp.v1_relat_1 D) (tptp.v1_funct_1 D)) (=> (and (= (tptp.k1_relat_1 C) _let_1) (= (tptp.k1_relat_1 D) _let_1) (= (tptp.k3_funct_5 C) (tptp.k3_funct_5 D))) (= C D))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A B))) (=> (and (tptp.v1_relat_1 D) (tptp.v1_funct_1 D)) (=> (and (= (tptp.k1_relat_1 C) _let_1) (= (tptp.k1_relat_1 D) _let_1) (= (tptp.k5_funct_5 C) (tptp.k5_funct_5 D))) (= C D))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k1_funct_2 A B))) (=> (and (tptp.v1_relat_1 D) (tptp.v1_funct_1 D)) (=> (and (tptp.r1_tarski (tptp.k2_relat_1 C) _let_1) (tptp.r1_tarski (tptp.k2_relat_1 D) _let_1) (= (tptp.k4_funct_5 C) (tptp.k4_funct_5 D))) (or (= A tptp.k1_xboole_0) (= C D)))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k1_funct_2 A B))) (=> (and (tptp.v1_relat_1 D) (tptp.v1_funct_1 D)) (=> (and (tptp.r1_tarski (tptp.k2_relat_1 C) _let_1) (tptp.r1_tarski (tptp.k2_relat_1 D) _let_1) (= (tptp.k6_funct_5 C) (tptp.k6_funct_5 D))) (or (= A tptp.k1_xboole_0) (= C D)))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (=> (tptp.r1_tarski (tptp.k2_relat_1 C) (tptp.k1_funct_2 A B)) (or (= A tptp.k1_xboole_0) (and (= (tptp.k3_funct_5 (tptp.k4_funct_5 C)) C) (= (tptp.k5_funct_5 (tptp.k6_funct_5 C)) C)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (=> (= (tptp.k1_relat_1 C) (tptp.k2_zfmisc_1 A B)) (and (= (tptp.k4_funct_5 (tptp.k3_funct_5 C)) C) (= (tptp.k6_funct_5 (tptp.k5_funct_5 C)) C))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (=> (tptp.r1_tarski (tptp.k1_relat_1 C) (tptp.k2_zfmisc_1 A B)) (and (= (tptp.k4_funct_5 (tptp.k3_funct_5 C)) C) (= (tptp.k6_funct_5 (tptp.k5_funct_5 C)) C))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k2_relat_1 C))) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (=> (tptp.r1_tarski _let_1 (tptp.k4_partfun1 A B)) (or (tptp.r2_hidden tptp.k1_xboole_0 _let_1) (and (= (tptp.k3_funct_5 (tptp.k4_funct_5 C)) C) (= (tptp.k5_funct_5 (tptp.k6_funct_5 C)) C))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A B))) (=> (and (tptp.v1_relat_1 D) (tptp.v1_funct_1 D)) (=> (and (tptp.r1_tarski (tptp.k1_relat_1 C) _let_1) (tptp.r1_tarski (tptp.k1_relat_1 D) _let_1) (= (tptp.k3_funct_5 C) (tptp.k3_funct_5 D))) (= C D))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A B))) (=> (and (tptp.v1_relat_1 D) (tptp.v1_funct_1 D)) (=> (and (tptp.r1_tarski (tptp.k1_relat_1 C) _let_1) (tptp.r1_tarski (tptp.k1_relat_1 D) _let_1) (= (tptp.k5_funct_5 C) (tptp.k5_funct_5 D))) (= C D))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k2_relat_1 D))) (let ((_let_2 (tptp.k2_relat_1 C))) (let ((_let_3 (tptp.k4_partfun1 A B))) (=> (and (tptp.v1_relat_1 D) (tptp.v1_funct_1 D)) (=> (and (tptp.r1_tarski _let_2 _let_3) (tptp.r1_tarski _let_1 _let_3) (= (tptp.k4_funct_5 C) (tptp.k4_funct_5 D))) (or (tptp.r2_hidden tptp.k1_xboole_0 _let_2) (tptp.r2_hidden tptp.k1_xboole_0 _let_1) (= C D)))))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k2_relat_1 D))) (let ((_let_2 (tptp.k2_relat_1 C))) (let ((_let_3 (tptp.k4_partfun1 A B))) (=> (and (tptp.v1_relat_1 D) (tptp.v1_funct_1 D)) (=> (and (tptp.r1_tarski _let_2 _let_3) (tptp.r1_tarski _let_1 _let_3) (= (tptp.k6_funct_5 C) (tptp.k6_funct_5 D))) (or (tptp.r2_hidden tptp.k1_xboole_0 _let_2) (tptp.r2_hidden tptp.k1_xboole_0 _let_1) (= C D)))))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.r1_tarski A B) (tptp.r1_tarski (tptp.k1_funct_2 C A) (tptp.k1_funct_2 C B)))) (forall ((A $$unsorted)) (= (tptp.k1_funct_2 tptp.k1_xboole_0 A) (tptp.k1_tarski tptp.k1_xboole_0))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k1_funct_2 (tptp.k1_tarski B) A))) (and (tptp.r2_wellord2 A _let_1) (= (tptp.k1_card_1 A) (tptp.k1_card_1 _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.k1_funct_2 A (tptp.k1_tarski B)) (tptp.k1_tarski (tptp.k2_funcop_1 A B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k1_funct_2 B D))) (let ((_let_2 (tptp.k1_funct_2 A C))) (=> (and (tptp.r2_wellord2 A B) (tptp.r2_wellord2 C D)) (and (tptp.r2_wellord2 _let_2 _let_1) (= (tptp.k1_card_1 _let_2) (tptp.k1_card_1 _let_1))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (= (tptp.k1_card_1 A) (tptp.k1_card_1 B)) (= (tptp.k1_card_1 C) (tptp.k1_card_1 D))) (= (tptp.k1_card_1 (tptp.k1_funct_2 A C)) (tptp.k1_card_1 (tptp.k1_funct_2 B D))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 (tptp.k1_funct_2 A C) (tptp.k1_funct_2 B C)))) (let ((_let_2 (tptp.k1_funct_2 (tptp.k2_xboole_0 A B) C))) (=> (tptp.r1_xboole_0 A B) (and (tptp.r2_wellord2 _let_2 _let_1) (= (tptp.k1_card_1 _let_2) (tptp.k1_card_1 _let_1))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k1_funct_2 A (tptp.k1_funct_2 B C)))) (let ((_let_2 (tptp.k1_funct_2 (tptp.k2_zfmisc_1 A B) C))) (and (tptp.r2_wellord2 _let_2 _let_1) (= (tptp.k1_card_1 _let_2) (tptp.k1_card_1 _let_1)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 (tptp.k1_funct_2 A B) (tptp.k1_funct_2 A C)))) (let ((_let_2 (tptp.k1_funct_2 A (tptp.k2_zfmisc_1 B C)))) (and (tptp.r2_wellord2 _let_2 _let_1) (= (tptp.k1_card_1 _let_2) (tptp.k1_card_1 _let_1)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 C))) (let ((_let_2 (tptp.k1_funct_2 C (tptp.k2_tarski A B)))) (=> (not (= A B)) (and (tptp.r2_wellord2 _let_2 _let_1) (= (tptp.k1_card_1 _let_2) (tptp.k1_card_1 _let_1))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 C C))) (let ((_let_2 (tptp.k1_funct_2 (tptp.k2_tarski A B) C))) (=> (not (= A B)) (and (tptp.r2_wellord2 _let_2 _let_1) (= (tptp.k1_card_1 _let_2) (tptp.k1_card_1 _let_1))))))) (exists ((A $$unsorted)) (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (= (tptp.k1_relat_1 A) tptp.f1_s1_funct_5) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (=> (tptp.r2_hidden B tptp.f1_s1_funct_5) (= (tptp.k1_funct_1 A B) (tptp.f2_s1_funct_5 B))))))) true true (forall ((A $$unsorted)) (let ((_let_1 (tptp.k3_funct_5 A))) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (and (tptp.v1_relat_1 _let_1) (tptp.v1_funct_1 _let_1))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k4_funct_5 A))) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (and (tptp.v1_relat_1 _let_1) (tptp.v1_funct_1 _let_1))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k5_funct_5 A))) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (and (tptp.v1_relat_1 _let_1) (tptp.v1_funct_1 _let_1))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k6_funct_5 A))) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (and (tptp.v1_relat_1 _let_1) (tptp.v1_funct_1 _let_1))))) (forall ((A $$unsorted)) (exists ((B $$unsorted)) (and (tptp.m1_finseq_2 B A) (not (tptp.v1_xboole_0 B))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v4_ordinal2 A) (not (tptp.v1_xboole_0 B))) (not (tptp.v1_xboole_0 (tptp.k4_finseq_2 A B))))) (forall ((A $$unsorted)) (=> (tptp.m2_subset_1 A tptp.k1_numbers tptp.k5_numbers) (forall ((B $$unsorted)) (=> (tptp.m2_subset_1 B tptp.k1_numbers tptp.k5_numbers) (and (tptp.m2_subset_1 (tptp.k3_square_1 A B) tptp.k1_numbers tptp.k5_numbers) (tptp.m2_subset_1 (tptp.k4_square_1 A B) tptp.k1_numbers tptp.k5_numbers)))))) (forall ((A $$unsorted)) (=> (tptp.m2_subset_1 A tptp.k1_numbers tptp.k5_numbers) (forall ((B $$unsorted)) (=> (tptp.m2_subset_1 B tptp.k1_numbers tptp.k5_numbers) (forall ((C $$unsorted)) (=> (tptp.m2_subset_1 C tptp.k1_numbers tptp.k5_numbers) (=> (= A (tptp.k3_square_1 B C)) (= (tptp.k5_subset_1 tptp.k5_numbers (tptp.k2_finseq_1 B) (tptp.k2_finseq_1 C)) (tptp.k2_finseq_1 A))))))))) (forall ((A $$unsorted)) (=> (tptp.m2_subset_1 A tptp.k1_numbers tptp.k5_numbers) (forall ((B $$unsorted)) (=> (tptp.m2_subset_1 B tptp.k1_numbers tptp.k5_numbers) (=> (tptp.r1_xreal_0 A B) (= (tptp.k2_square_1 tptp.np__0 (tptp.k6_xcmplx_0 A B)) tptp.np__0)))))) (forall ((A $$unsorted)) (=> (tptp.m2_subset_1 A tptp.k1_numbers tptp.k5_numbers) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k6_xcmplx_0 B A))) (=> (tptp.m2_subset_1 B tptp.k1_numbers tptp.k5_numbers) (=> (tptp.r1_xreal_0 A B) (= (tptp.k2_square_1 tptp.np__0 _let_1) _let_1))))))) (forall ((A $$unsorted)) (=> (tptp.m2_subset_1 A tptp.k1_numbers tptp.k5_numbers) (forall ((B $$unsorted)) (=> (tptp.m2_subset_1 B tptp.k1_numbers tptp.k5_numbers) (tptp.m2_subset_1 (tptp.k2_square_1 tptp.np__0 (tptp.k6_xcmplx_0 A B)) tptp.k1_numbers tptp.k5_numbers))))) (forall ((A $$unsorted)) (=> (tptp.m2_subset_1 A tptp.k1_numbers tptp.k5_numbers) (and (= (tptp.k3_square_1 tptp.np__0 A) tptp.np__0) (= (tptp.k3_square_1 A tptp.np__0) tptp.np__0) (= (tptp.k4_square_1 tptp.np__0 A) A) (= (tptp.k4_square_1 A tptp.np__0) A)))) true (forall ((A $$unsorted)) (=> (tptp.m2_subset_1 A tptp.k1_numbers tptp.k5_numbers) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k1_nat_1 B tptp.np__1))) (=> (tptp.m2_subset_1 B tptp.k1_numbers tptp.k5_numbers) (not (and (tptp.r2_hidden A (tptp.k2_finseq_1 _let_1)) (not (tptp.r2_hidden A (tptp.k2_finseq_1 B))) (not (= A _let_1))))))))) (forall ((A $$unsorted)) (=> (tptp.m2_subset_1 A tptp.k1_numbers tptp.k5_numbers) (forall ((B $$unsorted)) (=> (tptp.m2_subset_1 B tptp.k1_numbers tptp.k5_numbers) (forall ((C $$unsorted)) (=> (tptp.m2_subset_1 C tptp.k1_numbers tptp.k5_numbers) (=> (tptp.r2_hidden A (tptp.k2_finseq_1 B)) (tptp.r2_hidden A (tptp.k2_finseq_1 (tptp.k1_nat_1 B C)))))))))) (forall ((A $$unsorted)) (=> (tptp.m2_subset_1 A tptp.k1_numbers tptp.k5_numbers) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (tptp.v1_finseq_1 B)) (forall ((C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C) (tptp.v1_finseq_1 C)) (=> (and (= (tptp.k3_finseq_1 B) A) (= (tptp.k3_finseq_1 C) A) (forall ((D $$unsorted)) (=> (tptp.m2_subset_1 D tptp.k1_numbers tptp.k5_numbers) (=> (tptp.r2_hidden D (tptp.k2_finseq_1 A)) (= (tptp.k1_funct_1 B D) (tptp.k1_funct_1 C D)))))) (= B C)))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (tptp.v1_finseq_1 B)) (not (and (tptp.r2_hidden A (tptp.k2_relat_1 B)) (forall ((C $$unsorted)) (=> (tptp.m2_subset_1 C tptp.k1_numbers tptp.k5_numbers) (not (and (tptp.r2_hidden C (tptp.k4_finseq_1 B)) (= (tptp.k1_funct_1 B C) A))))))))) true (forall ((A $$unsorted)) (=> (tptp.m2_subset_1 A tptp.k1_numbers tptp.k5_numbers) (forall ((B $$unsorted) (C $$unsorted)) (=> (tptp.m2_finseq_1 C B) (=> (tptp.r2_hidden A (tptp.k4_finseq_1 C)) (tptp.r2_hidden (tptp.k1_funct_1 C A) B)))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_finseq_1 A)) (forall ((B $$unsorted)) (=> (forall ((C $$unsorted)) (=> (tptp.m2_subset_1 C tptp.k1_numbers tptp.k5_numbers) (=> (tptp.r2_hidden C (tptp.k4_finseq_1 A)) (tptp.r2_hidden (tptp.k1_funct_1 A C) B)))) (tptp.m2_finseq_1 A B))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C A) (tptp.m2_finseq_1 (tptp.k10_finseq_1 B C) A))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C A) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D A) (tptp.m2_finseq_1 (tptp.k11_finseq_1 B C D) A))))))))) true (forall ((A $$unsorted)) (=> (tptp.m2_subset_1 A tptp.k1_numbers tptp.k5_numbers) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (tptp.v1_finseq_1 B)) (forall ((C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C) (tptp.v1_finseq_1 C)) (=> (tptp.r2_hidden A (tptp.k4_finseq_1 B)) (tptp.r2_hidden A (tptp.k4_finseq_1 (tptp.k7_finseq_1 B C)))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (tptp.v1_finseq_1 B)) (= (tptp.k3_finseq_1 (tptp.k7_finseq_1 B (tptp.k9_finseq_1 A))) (tptp.k1_nat_1 (tptp.k3_finseq_1 B) tptp.np__1)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C) (tptp.v1_finseq_1 C)) (forall ((D $$unsorted)) (=> (and (tptp.v1_relat_1 D) (tptp.v1_funct_1 D) (tptp.v1_finseq_1 D)) (=> (= (tptp.k7_finseq_1 C (tptp.k9_finseq_1 A)) (tptp.k7_finseq_1 D (tptp.k9_finseq_1 B))) (and (= C D) (= A B))))))) (forall ((A $$unsorted)) (=> (tptp.m2_subset_1 A tptp.k1_numbers tptp.k5_numbers) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (tptp.v1_finseq_1 B)) (not (and (= (tptp.k3_finseq_1 B) (tptp.k1_nat_1 A tptp.np__1)) (forall ((C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C) (tptp.v1_finseq_1 C)) (forall ((D $$unsorted)) (not (= B (tptp.k7_finseq_1 C (tptp.k9_finseq_1 D))))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (tptp.m2_finseq_1 B A) (not (and (not (= (tptp.k3_finseq_1 B) tptp.np__0)) (forall ((C $$unsorted)) (=> (tptp.m2_finseq_1 C A) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D A) (not (= B (tptp.k8_finseq_1 A C (tptp.k12_finseq_1 A D)))))))))))))) (forall ((A $$unsorted)) (=> (tptp.m2_subset_1 A tptp.k1_numbers tptp.k5_numbers) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (tptp.v1_finseq_1 B)) (forall ((C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C) (tptp.v1_finseq_1 C)) (=> (and (= B (tptp.k7_relat_1 C (tptp.k2_finseq_1 A))) (tptp.r1_xreal_0 (tptp.k3_finseq_1 C) A)) (= C B)))))))) (forall ((A $$unsorted)) (=> (tptp.m2_subset_1 A tptp.k1_numbers tptp.k5_numbers) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (tptp.v1_finseq_1 B)) (forall ((C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C) (tptp.v1_finseq_1 C)) (=> (= B (tptp.k7_relat_1 C (tptp.k2_finseq_1 A))) (= (tptp.k3_finseq_1 B) (tptp.k3_square_1 A (tptp.k3_finseq_1 C)))))))))) (forall ((A $$unsorted)) (=> (tptp.m2_subset_1 A tptp.k1_numbers tptp.k5_numbers) (forall ((B $$unsorted)) (=> (tptp.m2_subset_1 B tptp.k1_numbers tptp.k5_numbers) (forall ((C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C) (tptp.v1_finseq_1 C)) (not (and (= (tptp.k3_finseq_1 C) (tptp.k1_nat_1 A B)) (forall ((D $$unsorted)) (=> (and (tptp.v1_relat_1 D) (tptp.v1_funct_1 D) (tptp.v1_finseq_1 D)) (forall ((E $$unsorted)) (=> (and (tptp.v1_relat_1 E) (tptp.v1_funct_1 E) (tptp.v1_finseq_1 E)) (not (and (= (tptp.k3_finseq_1 D) A) (= (tptp.k3_finseq_1 E) B) (= C (tptp.k7_finseq_1 D E)))))))))))))))) (forall ((A $$unsorted)) (=> (tptp.m2_subset_1 A tptp.k1_numbers tptp.k5_numbers) (forall ((B $$unsorted)) (=> (tptp.m2_subset_1 B tptp.k1_numbers tptp.k5_numbers) (forall ((C $$unsorted)) (=> (not (tptp.v1_xboole_0 C)) (forall ((D $$unsorted)) (=> (tptp.m2_finseq_1 D C) (not (and (= (tptp.k3_finseq_1 D) (tptp.k1_nat_1 A B)) (forall ((E $$unsorted)) (=> (tptp.m2_finseq_1 E C) (forall ((F $$unsorted)) (=> (tptp.m2_finseq_1 F C) (not (and (= (tptp.k3_finseq_1 E) A) (= (tptp.k3_finseq_1 F) B) (= D (tptp.k8_finseq_1 C E F)))))))))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A))) (forall ((C $$unsorted)) (=> (tptp.m2_finseq_1 C B) (tptp.m2_finseq_1 C A))))))) (forall ((A $$unsorted)) (=> (tptp.m2_subset_1 A tptp.k1_numbers tptp.k5_numbers) (forall ((B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k2_finseq_1 A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_1 B) (tptp.m2_relset_1 C _let_1 B)) (tptp.m2_finseq_1 C B)))))))) true (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k4_finseq_1 B))) (=> (tptp.m2_finseq_1 B A) (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_1 A) (tptp.m2_relset_1 B _let_1 A))))))) (forall ((A $$unsorted)) (=> (tptp.m2_subset_1 A tptp.k1_numbers tptp.k5_numbers) (forall ((B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C tptp.k5_numbers B) (tptp.m2_relset_1 C tptp.k5_numbers B)) (tptp.m2_finseq_1 (tptp.k2_partfun1 tptp.k5_numbers B C (tptp.k2_finseq_1 A)) B))))))) (forall ((A $$unsorted)) (=> (tptp.m2_subset_1 A tptp.k1_numbers tptp.k5_numbers) (forall ((B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C) (tptp.v1_finseq_1 C)) (forall ((D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D tptp.k5_numbers B) (tptp.m2_relset_1 D tptp.k5_numbers B)) (=> (= C (tptp.k2_partfun1 tptp.k5_numbers B D (tptp.k2_finseq_1 A))) (= (tptp.k3_finseq_1 C) A)))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_finseq_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (tptp.v1_finseq_1 B)) (forall ((C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (=> (and (tptp.r1_tarski (tptp.k2_relat_1 A) (tptp.k1_relat_1 C)) (= B (tptp.k5_relat_1 A C))) (= (tptp.k3_finseq_1 B) (tptp.k3_finseq_1 A))))))))) (forall ((A $$unsorted)) (=> (tptp.m2_subset_1 A tptp.k1_numbers tptp.k5_numbers) (forall ((B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (=> (= B (tptp.k2_finseq_1 A)) (forall ((C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C) (tptp.v1_finseq_1 C)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k5_relat_1 D C))) (=> (tptp.m2_finseq_1 D B) (=> (tptp.r1_xreal_0 A (tptp.k3_finseq_1 C)) (and (tptp.v1_relat_1 _let_1) (tptp.v1_funct_1 _let_1) (tptp.v1_finseq_1 _let_1))))))))))))) (forall ((A $$unsorted)) (=> (tptp.m2_subset_1 A tptp.k1_numbers tptp.k5_numbers) (forall ((B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (=> (not (tptp.v1_xboole_0 C)) (=> (= B (tptp.k2_finseq_1 A)) (forall ((D $$unsorted)) (=> (tptp.m2_finseq_1 D C) (forall ((E $$unsorted)) (=> (tptp.m2_finseq_1 E B) (=> (tptp.r1_xreal_0 A (tptp.k3_finseq_1 D)) (tptp.m2_finseq_1 (tptp.k1_partfun1 tptp.k5_numbers B tptp.k5_numbers C E D) C))))))))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.m2_finseq_1 C A) (forall ((D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D A B) (tptp.m2_relset_1 D A B)) (tptp.m2_finseq_1 (tptp.k1_partfun1 tptp.k5_numbers A A B C D) B))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C) (tptp.v1_finseq_1 C)) (forall ((D $$unsorted)) (=> (tptp.m2_finseq_1 D A) (forall ((E $$unsorted)) (=> (and (tptp.v1_funct_1 E) (tptp.v1_funct_2 E A B) (tptp.m2_relset_1 E A B)) (=> (= C (tptp.k1_partfun1 tptp.k5_numbers A A B D E)) (= (tptp.k3_finseq_1 C) (tptp.k3_finseq_1 D))))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C A B) (tptp.m2_relset_1 C A B)) (= (tptp.k1_partfun1 tptp.k5_numbers A A B (tptp.k6_finseq_1 A) C) (tptp.k6_finseq_1 B)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (=> (not (tptp.v1_xboole_0 C)) (forall ((D $$unsorted)) (=> (tptp.m2_finseq_1 D B) (forall ((E $$unsorted)) (=> (and (tptp.v1_funct_1 E) (tptp.v1_funct_2 E B C) (tptp.m2_relset_1 E B C)) (=> (= D (tptp.k9_finseq_1 A)) (= (tptp.k1_partfun1 tptp.k5_numbers B B C D E) (tptp.k9_finseq_1 (tptp.k1_funct_1 E A)))))))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (not (tptp.v1_xboole_0 C)) (forall ((D $$unsorted)) (=> (not (tptp.v1_xboole_0 D)) (forall ((E $$unsorted)) (=> (tptp.m2_finseq_1 E C) (forall ((F $$unsorted)) (=> (and (tptp.v1_funct_1 F) (tptp.v1_funct_2 F C D) (tptp.m2_relset_1 F C D)) (=> (= E (tptp.k10_finseq_1 A B)) (= (tptp.k1_partfun1 tptp.k5_numbers C C D E F) (tptp.k10_finseq_1 (tptp.k1_funct_1 F A) (tptp.k1_funct_1 F B)))))))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (not (tptp.v1_xboole_0 D)) (forall ((E $$unsorted)) (=> (not (tptp.v1_xboole_0 E)) (forall ((F $$unsorted)) (=> (tptp.m2_finseq_1 F D) (forall ((G $$unsorted)) (=> (and (tptp.v1_funct_1 G) (tptp.v1_funct_2 G D E) (tptp.m2_relset_1 G D E)) (=> (= F (tptp.k11_finseq_1 A B C)) (= (tptp.k1_partfun1 tptp.k5_numbers D D E F G) (tptp.k11_finseq_1 (tptp.k1_funct_1 G A) (tptp.k1_funct_1 G B) (tptp.k1_funct_1 G C)))))))))))) (forall ((A $$unsorted)) (=> (tptp.m2_subset_1 A tptp.k1_numbers tptp.k5_numbers) (forall ((B $$unsorted)) (=> (tptp.m2_subset_1 B tptp.k1_numbers tptp.k5_numbers) (forall ((C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C) (tptp.v1_finseq_1 C)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k5_relat_1 D C))) (let ((_let_2 (tptp.k2_finseq_1 B))) (let ((_let_3 (tptp.k2_finseq_1 A))) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D _let_3 _let_2) (tptp.m2_relset_1 D _let_3 _let_2)) (=> (tptp.r1_xreal_0 B (tptp.k3_finseq_1 C)) (or (and (= B tptp.np__0) (not (= A tptp.np__0))) (and (tptp.v1_relat_1 _let_1) (tptp.v1_funct_1 _let_1) (tptp.v1_finseq_1 _let_1))))))))))))))) (forall ((A $$unsorted)) (=> (tptp.m2_subset_1 A tptp.k1_numbers tptp.k5_numbers) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (tptp.v1_finseq_1 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k5_relat_1 C B))) (let ((_let_2 (tptp.k2_finseq_1 A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_2) (tptp.m2_relset_1 C _let_2 _let_2)) (=> (tptp.r1_xreal_0 A (tptp.k3_finseq_1 B)) (and (tptp.v1_relat_1 _let_1) (tptp.v1_funct_1 _let_1) (tptp.v1_finseq_1 _let_1))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_finseq_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k5_relat_1 B A))) (let ((_let_2 (tptp.k4_finseq_1 A))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_2 _let_2) (tptp.m2_relset_1 B _let_2 _let_2)) (and (tptp.v1_relat_1 _let_1) (tptp.v1_funct_1 _let_1) (tptp.v1_finseq_1 _let_1)))))))) (forall ((A $$unsorted)) (=> (tptp.m2_subset_1 A tptp.k1_numbers tptp.k5_numbers) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (tptp.v1_finseq_1 B)) (forall ((C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C) (tptp.v1_finseq_1 C)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k2_finseq_1 A))) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D _let_1 _let_1) (tptp.m2_relset_1 D _let_1 _let_1)) (=> (and (= (tptp.k2_relat_1 D) _let_1) (tptp.r1_xreal_0 A (tptp.k3_finseq_1 B)) (= C (tptp.k5_relat_1 D B))) (= (tptp.k3_finseq_1 C) A))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_finseq_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (tptp.v1_finseq_1 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k4_finseq_1 A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_1 _let_1) (tptp.m2_relset_1 C _let_1 _let_1)) (=> (and (= (tptp.k2_relat_1 C) _let_1) (= B (tptp.k5_relat_1 C A))) (= (tptp.k3_finseq_1 B) (tptp.k3_finseq_1 A)))))))))) (forall ((A $$unsorted)) (=> (tptp.m2_subset_1 A tptp.k1_numbers tptp.k5_numbers) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (tptp.v1_finseq_1 B)) (forall ((C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C) (tptp.v1_finseq_1 C)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k2_finseq_1 A))) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D _let_1 _let_1) (tptp.v3_funct_2 D _let_1 _let_1) (tptp.m2_relset_1 D _let_1 _let_1)) (=> (and (tptp.r1_xreal_0 A (tptp.k3_finseq_1 B)) (= C (tptp.k5_relat_1 D B))) (= (tptp.k3_finseq_1 C) A))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_finseq_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (tptp.v1_finseq_1 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k4_finseq_1 A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_1 _let_1) (tptp.v3_funct_2 C _let_1 _let_1) (tptp.m2_relset_1 C _let_1 _let_1)) (=> (= B (tptp.k5_relat_1 C A)) (= (tptp.k3_finseq_1 B) (tptp.k3_finseq_1 A)))))))))) (forall ((A $$unsorted)) (=> (tptp.m2_subset_1 A tptp.k1_numbers tptp.k5_numbers) (forall ((B $$unsorted)) (=> (tptp.m2_subset_1 B tptp.k1_numbers tptp.k5_numbers) (forall ((C $$unsorted)) (=> (not (tptp.v1_xboole_0 C)) (forall ((D $$unsorted)) (=> (tptp.m2_finseq_1 D C) (forall ((E $$unsorted)) (let ((_let_1 (tptp.k2_finseq_1 B))) (let ((_let_2 (tptp.k2_finseq_1 A))) (=> (and (tptp.v1_funct_1 E) (tptp.v1_funct_2 E _let_2 _let_1) (tptp.m2_relset_1 E _let_2 _let_1)) (=> (tptp.r1_xreal_0 B (tptp.k3_finseq_1 D)) (or (and (= B tptp.np__0) (not (= A tptp.np__0))) (tptp.m2_finseq_1 (tptp.k1_partfun1 _let_2 _let_1 tptp.k5_numbers C E D) C))))))))))))))) (forall ((A $$unsorted)) (=> (tptp.m2_subset_1 A tptp.k1_numbers tptp.k5_numbers) (forall ((B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (=> (tptp.m2_finseq_1 C B) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k2_finseq_1 A))) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D _let_1 _let_1) (tptp.m2_relset_1 D _let_1 _let_1)) (=> (tptp.r1_xreal_0 A (tptp.k3_finseq_1 C)) (tptp.m2_finseq_1 (tptp.k1_partfun1 _let_1 _let_1 tptp.k5_numbers B D C) B))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (tptp.m2_finseq_1 B A) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k4_finseq_1 B))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_1 _let_1) (tptp.m2_relset_1 C _let_1 _let_1)) (tptp.m2_finseq_1 (tptp.k1_partfun1 _let_1 _let_1 tptp.k5_numbers A C B) A)))))))) (forall ((A $$unsorted)) (=> (tptp.v4_ordinal2 A) (tptp.m2_finseq_1 (tptp.k6_partfun1 (tptp.k2_finseq_1 A)) tptp.k5_numbers))) (forall ((A $$unsorted)) (=> (tptp.v4_ordinal2 A) (= (tptp.k1_finseq_2 A) (tptp.k6_partfun1 (tptp.k2_finseq_1 A))))) true (forall ((A $$unsorted)) (=> (tptp.v4_ordinal2 A) (= (tptp.k4_finseq_1 (tptp.k1_finseq_2 A)) (tptp.k2_finseq_1 A)))) (forall ((A $$unsorted)) (=> (tptp.v4_ordinal2 A) (= (tptp.k3_finseq_1 (tptp.k1_finseq_2 A)) A))) (forall ((A $$unsorted)) (=> (tptp.m2_subset_1 A tptp.k1_numbers tptp.k5_numbers) (forall ((B $$unsorted)) (=> (tptp.m2_subset_1 B tptp.k1_numbers tptp.k5_numbers) (=> (tptp.r2_hidden A (tptp.k2_finseq_1 B)) (= (tptp.k1_funct_1 (tptp.k1_finseq_2 B) A) A)))))) (forall ((A $$unsorted)) (=> (tptp.m2_subset_1 A tptp.k1_numbers tptp.k5_numbers) (=> (not (= A tptp.np__0)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k2_finseq_1 A)) (= (tptp.k1_funct_1 (tptp.k1_finseq_2 A) B) B)))))) (= (tptp.k1_finseq_2 tptp.np__0) tptp.k1_xboole_0) (= (tptp.k1_finseq_2 tptp.np__1) (tptp.k12_finseq_1 tptp.k5_numbers tptp.np__1)) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k1_nat_1 A tptp.np__1))) (=> (tptp.m2_subset_1 A tptp.k1_numbers tptp.k5_numbers) (= (tptp.k1_finseq_2 _let_1) (tptp.k7_finseq_1 (tptp.k1_finseq_2 A) (tptp.k12_finseq_1 tptp.k5_numbers _let_1)))))) (= (tptp.k1_finseq_2 tptp.np__2) (tptp.k10_finseq_1 tptp.np__1 tptp.np__2)) (= (tptp.k1_finseq_2 tptp.np__3) (tptp.k11_finseq_1 tptp.np__1 tptp.np__2 tptp.np__3)) (forall ((A $$unsorted)) (=> (tptp.v4_ordinal2 A) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (tptp.v1_finseq_1 B)) (= (tptp.k5_relat_1 (tptp.k1_finseq_2 A) B) (tptp.k7_relat_1 B (tptp.k2_finseq_1 A))))))) (forall ((A $$unsorted)) (=> (tptp.v4_ordinal2 A) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (tptp.v1_finseq_1 B)) (=> (tptp.r1_xreal_0 (tptp.k3_finseq_1 B) A) (= (tptp.k5_relat_1 (tptp.k1_finseq_2 A) B) B)))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k2_finseq_1 A))) (let ((_let_2 (tptp.k1_finseq_2 A))) (=> (tptp.v4_ordinal2 A) (and (tptp.v1_funct_1 _let_2) (tptp.v1_funct_2 _let_2 _let_1 _let_1) (tptp.v3_funct_2 _let_2 _let_1 _let_1) (tptp.m2_relset_1 _let_2 _let_1 _let_1)))))) (forall ((A $$unsorted)) (=> (tptp.v4_ordinal2 A) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k2_funcop_1 (tptp.k2_finseq_1 A) B))) (and (tptp.v1_relat_1 _let_1) (tptp.v1_funct_1 _let_1) (tptp.v1_finseq_1 _let_1)))))) (forall ((A $$unsorted)) (=> (tptp.v4_ordinal2 A) (forall ((B $$unsorted)) (= (tptp.k2_finseq_2 A B) (tptp.k2_funcop_1 (tptp.k2_finseq_1 A) B))))) true (forall ((A $$unsorted)) (=> (tptp.v4_ordinal2 A) (forall ((B $$unsorted)) (= (tptp.k4_finseq_1 (tptp.k2_finseq_2 A B)) (tptp.k2_finseq_1 A))))) (forall ((A $$unsorted)) (=> (tptp.v4_ordinal2 A) (forall ((B $$unsorted)) (= (tptp.k3_finseq_1 (tptp.k2_finseq_2 A B)) A)))) (forall ((A $$unsorted)) (=> (tptp.v4_ordinal2 A) (forall ((B $$unsorted) (C $$unsorted)) (=> (tptp.r2_hidden B (tptp.k2_finseq_1 A)) (= (tptp.k1_funct_1 (tptp.k2_finseq_2 A C) B) C))))) (forall ((A $$unsorted)) (=> (tptp.v4_ordinal2 A) (forall ((B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C B) (=> (not (= A tptp.np__0)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k2_finseq_1 A)) (= (tptp.k1_funct_1 (tptp.k2_finseq_2 A C) D) C)))))))))) (forall ((A $$unsorted)) (= (tptp.k2_finseq_2 tptp.np__0 A) tptp.k1_xboole_0)) (forall ((A $$unsorted)) (= (tptp.k2_finseq_2 tptp.np__1 A) (tptp.k9_finseq_1 A))) (forall ((A $$unsorted)) (=> (tptp.m2_subset_1 A tptp.k1_numbers tptp.k5_numbers) (forall ((B $$unsorted)) (= (tptp.k2_finseq_2 (tptp.k1_nat_1 A tptp.np__1) B) (tptp.k7_finseq_1 (tptp.k2_finseq_2 A B) (tptp.k9_finseq_1 B)))))) (forall ((A $$unsorted)) (= (tptp.k2_finseq_2 tptp.np__2 A) (tptp.k10_finseq_1 A A))) (forall ((A $$unsorted)) (= (tptp.k2_finseq_2 tptp.np__3 A) (tptp.k11_finseq_1 A A A))) (forall ((A $$unsorted)) (=> (tptp.v4_ordinal2 A) (forall ((B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C B) (tptp.m2_finseq_1 (tptp.k2_finseq_2 A C) B))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_finseq_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (tptp.v1_finseq_1 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k3_funcop_1 C A B))) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (=> (tptp.r1_tarski (tptp.k2_zfmisc_1 (tptp.k2_relat_1 A) (tptp.k2_relat_1 B)) (tptp.k1_relat_1 C)) (and (tptp.v1_relat_1 _let_1) (tptp.v1_funct_1 _let_1) (tptp.v1_finseq_1 _let_1)))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_finseq_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (tptp.v1_finseq_1 B)) (forall ((C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C) (tptp.v1_finseq_1 C)) (forall ((D $$unsorted)) (=> (and (tptp.v1_relat_1 D) (tptp.v1_funct_1 D)) (=> (and (tptp.r1_tarski (tptp.k2_zfmisc_1 (tptp.k2_relat_1 A) (tptp.k2_relat_1 B)) (tptp.k1_relat_1 D)) (= C (tptp.k3_funcop_1 D A B))) (= (tptp.k3_finseq_1 C) (tptp.k3_square_1 (tptp.k3_finseq_1 A) (tptp.k3_finseq_1 B)))))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (tptp.v1_finseq_1 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k5_funcop_1 C A B))) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (=> (tptp.r1_tarski (tptp.k2_zfmisc_1 (tptp.k1_tarski A) (tptp.k2_relat_1 B)) (tptp.k1_relat_1 C)) (and (tptp.v1_relat_1 _let_1) (tptp.v1_funct_1 _let_1) (tptp.v1_finseq_1 _let_1)))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (tptp.v1_finseq_1 B)) (forall ((C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C) (tptp.v1_finseq_1 C)) (forall ((D $$unsorted)) (=> (and (tptp.v1_relat_1 D) (tptp.v1_funct_1 D)) (=> (and (tptp.r1_tarski (tptp.k2_zfmisc_1 (tptp.k1_tarski A) (tptp.k2_relat_1 B)) (tptp.k1_relat_1 D)) (= C (tptp.k5_funcop_1 D A B))) (= (tptp.k3_finseq_1 C) (tptp.k3_finseq_1 B))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (tptp.v1_finseq_1 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k4_funcop_1 C B A))) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (=> (tptp.r1_tarski (tptp.k2_zfmisc_1 (tptp.k2_relat_1 B) (tptp.k1_tarski A)) (tptp.k1_relat_1 C)) (and (tptp.v1_relat_1 _let_1) (tptp.v1_funct_1 _let_1) (tptp.v1_finseq_1 _let_1)))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (tptp.v1_finseq_1 B)) (forall ((C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C) (tptp.v1_finseq_1 C)) (forall ((D $$unsorted)) (=> (and (tptp.v1_relat_1 D) (tptp.v1_funct_1 D)) (=> (and (tptp.r1_tarski (tptp.k2_zfmisc_1 (tptp.k2_relat_1 B) (tptp.k1_tarski A)) (tptp.k1_relat_1 D)) (= C (tptp.k4_funcop_1 D B A))) (= (tptp.k3_finseq_1 C) (tptp.k3_finseq_1 B))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (=> (not (tptp.v1_xboole_0 C)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A B))) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D _let_1 C) (tptp.m2_relset_1 D _let_1 C)) (forall ((E $$unsorted)) (=> (tptp.m2_finseq_1 E A) (forall ((F $$unsorted)) (=> (tptp.m2_finseq_1 F B) (tptp.m2_finseq_1 (tptp.k3_funcop_1 D E F) C)))))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (=> (not (tptp.v1_xboole_0 C)) (forall ((D $$unsorted)) (=> (and (tptp.v1_relat_1 D) (tptp.v1_funct_1 D) (tptp.v1_finseq_1 D)) (forall ((E $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A B))) (=> (and (tptp.v1_funct_1 E) (tptp.v1_funct_2 E _let_1 C) (tptp.m2_relset_1 E _let_1 C)) (forall ((F $$unsorted)) (=> (tptp.m2_finseq_1 F A) (forall ((G $$unsorted)) (=> (tptp.m2_finseq_1 G B) (=> (= D (tptp.k3_funcop_1 E F G)) (= (tptp.k3_finseq_1 D) (tptp.k3_square_1 (tptp.k3_finseq_1 F) (tptp.k3_finseq_1 G))))))))))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (=> (not (tptp.v1_xboole_0 C)) (forall ((D $$unsorted)) (=> (and (tptp.v1_relat_1 D) (tptp.v1_funct_1 D) (tptp.v1_finseq_1 D)) (forall ((E $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A B))) (=> (and (tptp.v1_funct_1 E) (tptp.v1_funct_2 E _let_1 C) (tptp.m2_relset_1 E _let_1 C)) (forall ((F $$unsorted)) (=> (tptp.m2_finseq_1 F A) (forall ((G $$unsorted)) (let ((_let_1 (tptp.k3_finseq_1 G))) (let ((_let_2 (tptp.k3_finseq_1 D))) (let ((_let_3 (tptp.k3_finseq_1 F))) (=> (tptp.m2_finseq_1 G B) (=> (and (= _let_3 _let_1) (= D (tptp.k3_funcop_1 E F G))) (and (= _let_2 _let_3) (= _let_2 _let_1))))))))))))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (=> (not (tptp.v1_xboole_0 C)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A B))) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D _let_1 C) (tptp.m2_relset_1 D _let_1 C)) (forall ((E $$unsorted)) (=> (tptp.m2_finseq_1 E A) (forall ((F $$unsorted)) (let ((_let_1 (tptp.k6_finseq_1 C))) (=> (tptp.m2_finseq_1 F B) (and (= (tptp.k3_funcop_1 D (tptp.k6_finseq_1 A) F) _let_1) (= (tptp.k3_funcop_1 D E (tptp.k6_finseq_1 B)) _let_1)))))))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (=> (not (tptp.v1_xboole_0 C)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D A) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E B) (forall ((F $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A B))) (=> (and (tptp.v1_funct_1 F) (tptp.v1_funct_2 F _let_1 C) (tptp.m2_relset_1 F _let_1 C)) (forall ((G $$unsorted)) (=> (tptp.m2_finseq_1 G A) (forall ((H $$unsorted)) (=> (tptp.m2_finseq_1 H B) (=> (and (= G (tptp.k12_finseq_1 A D)) (= H (tptp.k12_finseq_1 B E))) (= (tptp.k3_funcop_1 F G H) (tptp.k12_finseq_1 C (tptp.k2_binop_1 A B C F D E))))))))))))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (=> (not (tptp.v1_xboole_0 C)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D A) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E A) (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F B) (forall ((G $$unsorted)) (=> (tptp.m1_subset_1 G B) (forall ((H $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A B))) (=> (and (tptp.v1_funct_1 H) (tptp.v1_funct_2 H _let_1 C) (tptp.m2_relset_1 H _let_1 C)) (forall ((I $$unsorted)) (=> (tptp.m2_finseq_1 I A) (forall ((J $$unsorted)) (=> (tptp.m2_finseq_1 J B) (=> (and (= I (tptp.k10_finseq_1 D E)) (= J (tptp.k10_finseq_1 F G))) (= (tptp.k3_funcop_1 H I J) (tptp.k10_finseq_1 (tptp.k2_binop_1 A B C H D F) (tptp.k2_binop_1 A B C H E G))))))))))))))))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (=> (not (tptp.v1_xboole_0 C)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D A) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E A) (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F A) (forall ((G $$unsorted)) (=> (tptp.m1_subset_1 G B) (forall ((H $$unsorted)) (=> (tptp.m1_subset_1 H B) (forall ((I $$unsorted)) (=> (tptp.m1_subset_1 I B) (forall ((J $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A B))) (=> (and (tptp.v1_funct_1 J) (tptp.v1_funct_2 J _let_1 C) (tptp.m2_relset_1 J _let_1 C)) (forall ((K $$unsorted)) (=> (tptp.m2_finseq_1 K A) (forall ((L $$unsorted)) (=> (tptp.m2_finseq_1 L B) (=> (and (= K (tptp.k11_finseq_1 D E F)) (= L (tptp.k11_finseq_1 G H I))) (= (tptp.k3_funcop_1 J K L) (tptp.k11_finseq_1 (tptp.k2_binop_1 A B C J D G) (tptp.k2_binop_1 A B C J E H) (tptp.k2_binop_1 A B C J F I))))))))))))))))))))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (=> (not (tptp.v1_xboole_0 C)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D A) (forall ((E $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A B))) (=> (and (tptp.v1_funct_1 E) (tptp.v1_funct_2 E _let_1 C) (tptp.m2_relset_1 E _let_1 C)) (forall ((F $$unsorted)) (=> (tptp.m2_finseq_1 F B) (tptp.m2_finseq_1 (tptp.k5_funcop_1 E D F) C)))))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (=> (not (tptp.v1_xboole_0 C)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D A) (forall ((E $$unsorted)) (=> (and (tptp.v1_relat_1 E) (tptp.v1_funct_1 E) (tptp.v1_finseq_1 E)) (forall ((F $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A B))) (=> (and (tptp.v1_funct_1 F) (tptp.v1_funct_2 F _let_1 C) (tptp.m2_relset_1 F _let_1 C)) (forall ((G $$unsorted)) (=> (tptp.m2_finseq_1 G B) (=> (= E (tptp.k5_funcop_1 F D G)) (= (tptp.k3_finseq_1 E) (tptp.k3_finseq_1 G)))))))))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (=> (not (tptp.v1_xboole_0 C)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D A) (forall ((E $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A B))) (=> (and (tptp.v1_funct_1 E) (tptp.v1_funct_2 E _let_1 C) (tptp.m2_relset_1 E _let_1 C)) (= (tptp.k5_funcop_1 E D (tptp.k6_finseq_1 B)) (tptp.k6_finseq_1 C))))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (=> (not (tptp.v1_xboole_0 C)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D A) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E B) (forall ((F $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A B))) (=> (and (tptp.v1_funct_1 F) (tptp.v1_funct_2 F _let_1 C) (tptp.m2_relset_1 F _let_1 C)) (forall ((G $$unsorted)) (=> (tptp.m2_finseq_1 G B) (=> (= G (tptp.k12_finseq_1 B E)) (= (tptp.k5_funcop_1 F D G) (tptp.k12_finseq_1 C (tptp.k2_binop_1 A B C F D E))))))))))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (=> (not (tptp.v1_xboole_0 C)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D A) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E B) (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F B) (forall ((G $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A B))) (=> (and (tptp.v1_funct_1 G) (tptp.v1_funct_2 G _let_1 C) (tptp.m2_relset_1 G _let_1 C)) (forall ((H $$unsorted)) (=> (tptp.m2_finseq_1 H B) (=> (= H (tptp.k10_finseq_1 E F)) (= (tptp.k5_funcop_1 G D H) (tptp.k10_finseq_1 (tptp.k2_binop_1 A B C G D E) (tptp.k2_binop_1 A B C G D F))))))))))))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (=> (not (tptp.v1_xboole_0 C)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D A) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E B) (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F B) (forall ((G $$unsorted)) (=> (tptp.m1_subset_1 G B) (forall ((H $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A B))) (=> (and (tptp.v1_funct_1 H) (tptp.v1_funct_2 H _let_1 C) (tptp.m2_relset_1 H _let_1 C)) (forall ((I $$unsorted)) (=> (tptp.m2_finseq_1 I B) (=> (= I (tptp.k11_finseq_1 E F G)) (= (tptp.k5_funcop_1 H D I) (tptp.k11_finseq_1 (tptp.k2_binop_1 A B C H D E) (tptp.k2_binop_1 A B C H D F) (tptp.k2_binop_1 A B C H D G))))))))))))))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (=> (not (tptp.v1_xboole_0 C)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D B) (forall ((E $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A B))) (=> (and (tptp.v1_funct_1 E) (tptp.v1_funct_2 E _let_1 C) (tptp.m2_relset_1 E _let_1 C)) (forall ((F $$unsorted)) (=> (tptp.m2_finseq_1 F A) (tptp.m2_finseq_1 (tptp.k4_funcop_1 E F D) C)))))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (=> (not (tptp.v1_xboole_0 C)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D B) (forall ((E $$unsorted)) (=> (and (tptp.v1_relat_1 E) (tptp.v1_funct_1 E) (tptp.v1_finseq_1 E)) (forall ((F $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A B))) (=> (and (tptp.v1_funct_1 F) (tptp.v1_funct_2 F _let_1 C) (tptp.m2_relset_1 F _let_1 C)) (forall ((G $$unsorted)) (=> (tptp.m2_finseq_1 G A) (=> (= E (tptp.k4_funcop_1 F G D)) (= (tptp.k3_finseq_1 E) (tptp.k3_finseq_1 G)))))))))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (=> (not (tptp.v1_xboole_0 C)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D B) (forall ((E $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A B))) (=> (and (tptp.v1_funct_1 E) (tptp.v1_funct_2 E _let_1 C) (tptp.m2_relset_1 E _let_1 C)) (= (tptp.k4_funcop_1 E (tptp.k6_finseq_1 A) D) (tptp.k6_finseq_1 C))))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (=> (not (tptp.v1_xboole_0 C)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D A) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E B) (forall ((F $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A B))) (=> (and (tptp.v1_funct_1 F) (tptp.v1_funct_2 F _let_1 C) (tptp.m2_relset_1 F _let_1 C)) (forall ((G $$unsorted)) (=> (tptp.m2_finseq_1 G A) (=> (= G (tptp.k12_finseq_1 A D)) (= (tptp.k4_funcop_1 F G E) (tptp.k12_finseq_1 C (tptp.k2_binop_1 A B C F D E))))))))))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (=> (not (tptp.v1_xboole_0 C)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D A) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E A) (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F B) (forall ((G $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A B))) (=> (and (tptp.v1_funct_1 G) (tptp.v1_funct_2 G _let_1 C) (tptp.m2_relset_1 G _let_1 C)) (forall ((H $$unsorted)) (=> (tptp.m2_finseq_1 H A) (=> (= H (tptp.k10_finseq_1 D E)) (= (tptp.k4_funcop_1 G H F) (tptp.k10_finseq_1 (tptp.k2_binop_1 A B C G D F) (tptp.k2_binop_1 A B C G E F))))))))))))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (=> (not (tptp.v1_xboole_0 C)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D A) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E A) (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F A) (forall ((G $$unsorted)) (=> (tptp.m1_subset_1 G B) (forall ((H $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A B))) (=> (and (tptp.v1_funct_1 H) (tptp.v1_funct_2 H _let_1 C) (tptp.m2_relset_1 H _let_1 C)) (forall ((I $$unsorted)) (=> (tptp.m2_finseq_1 I A) (=> (= I (tptp.k11_finseq_1 D E F)) (= (tptp.k4_funcop_1 H I G) (tptp.k11_finseq_1 (tptp.k2_binop_1 A B C H D G) (tptp.k2_binop_1 A B C H E G) (tptp.k2_binop_1 A B C H F G))))))))))))))))))))))) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.m1_finseq_2 B A) (forall ((C $$unsorted)) (=> (tptp.r2_hidden C B) (tptp.m2_finseq_1 C A))))) true (forall ((A $$unsorted)) (let ((_let_1 (tptp.k13_finseq_1 A))) (and (not (tptp.v1_xboole_0 _let_1)) (tptp.m1_finseq_2 _let_1 A)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.m1_finseq_2 B A)) (tptp.r1_tarski B (tptp.k3_finseq_2 A)))) true (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A))) (forall ((C $$unsorted)) (let ((_let_1 (not (tptp.v1_xboole_0 C)))) (=> (and _let_1 (tptp.m1_finseq_2 C B)) (and _let_1 (tptp.m1_finseq_2 C A))))))))) true (forall ((A $$unsorted)) (=> (tptp.m2_subset_1 A tptp.k1_numbers tptp.k5_numbers) (forall ((B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (=> (tptp.m2_finseq_2 C B (tptp.k4_finseq_2 A B)) (= (tptp.k3_finseq_1 C) A))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m2_finseq_1 B A) (tptp.m1_subset_1 B (tptp.k4_finseq_2 (tptp.k3_finseq_1 B) A)))) (forall ((A $$unsorted)) (=> (tptp.m2_subset_1 A tptp.k1_numbers tptp.k5_numbers) (forall ((B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (= (tptp.k4_finseq_2 A B) (tptp.k1_funct_2 (tptp.k2_finseq_1 A) B)))))) (forall ((A $$unsorted)) (= (tptp.k4_finseq_2 tptp.np__0 A) (tptp.k6_domain_1 (tptp.k1_zfmisc_1 (tptp.k2_zfmisc_1 tptp.k5_numbers A)) (tptp.k6_finseq_1 A)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k4_finseq_2 tptp.np__0 A)) (= B (tptp.k6_finseq_1 A)))) (forall ((A $$unsorted)) (tptp.m1_subset_1 (tptp.k6_finseq_1 A) (tptp.k4_finseq_2 tptp.np__0 A))) (forall ((A $$unsorted)) (=> (tptp.m2_subset_1 A tptp.k1_numbers tptp.k5_numbers) (forall ((B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (=> (tptp.m2_finseq_2 C B (tptp.k4_finseq_2 tptp.np__0 B)) (forall ((D $$unsorted)) (=> (tptp.m2_finseq_2 D B (tptp.k4_finseq_2 A B)) (and (= (tptp.k8_finseq_1 B C D) D) (= (tptp.k8_finseq_1 B D C) D)))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (tptp.m2_finseq_2 B A (tptp.k4_finseq_2 tptp.np__1 A)) (exists ((C $$unsorted)) (and (tptp.m1_subset_1 C A) (= B (tptp.k12_finseq_1 A C)))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B A) (tptp.m2_finseq_2 (tptp.k12_finseq_1 A B) A (tptp.k4_finseq_2 tptp.np__1 A)))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (tptp.m2_finseq_2 B A (tptp.k4_finseq_2 tptp.np__2 A)) (exists ((C $$unsorted)) (and (tptp.m1_subset_1 C A) (exists ((D $$unsorted)) (and (tptp.m1_subset_1 D A) (= B (tptp.k10_finseq_1 C D)))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C A) (tptp.m2_finseq_2 (tptp.k10_finseq_1 B C) A (tptp.k4_finseq_2 tptp.np__2 A)))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (tptp.m2_finseq_2 B A (tptp.k4_finseq_2 tptp.np__3 A)) (exists ((C $$unsorted)) (and (tptp.m1_subset_1 C A) (exists ((D $$unsorted)) (and (tptp.m1_subset_1 D A) (exists ((E $$unsorted)) (and (tptp.m1_subset_1 E A) (= B (tptp.k11_finseq_1 C D E)))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C A) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D A) (tptp.m2_finseq_2 (tptp.k11_finseq_1 B C D) A (tptp.k4_finseq_2 tptp.np__3 A)))))))))) (forall ((A $$unsorted)) (=> (tptp.m2_subset_1 A tptp.k1_numbers tptp.k5_numbers) (forall ((B $$unsorted)) (=> (tptp.m2_subset_1 B tptp.k1_numbers tptp.k5_numbers) (forall ((C $$unsorted)) (=> (not (tptp.v1_xboole_0 C)) (forall ((D $$unsorted)) (=> (tptp.m2_finseq_2 D C (tptp.k4_finseq_2 (tptp.k1_nat_1 A B) C)) (exists ((E $$unsorted)) (and (tptp.m2_finseq_2 E C (tptp.k4_finseq_2 A C)) (exists ((F $$unsorted)) (and (tptp.m2_finseq_2 F C (tptp.k4_finseq_2 B C)) (= D (tptp.k8_finseq_1 C E F)))))))))))))) (forall ((A $$unsorted)) (=> (tptp.m2_subset_1 A tptp.k1_numbers tptp.k5_numbers) (forall ((B $$unsorted)) (=> (tptp.m2_subset_1 B tptp.k1_numbers tptp.k5_numbers) (forall ((C $$unsorted)) (=> (not (tptp.v1_xboole_0 C)) (forall ((D $$unsorted)) (=> (tptp.m2_finseq_2 D C (tptp.k4_finseq_2 A C)) (forall ((E $$unsorted)) (=> (tptp.m2_finseq_2 E C (tptp.k4_finseq_2 B C)) (tptp.m2_finseq_2 (tptp.k8_finseq_1 C D E) C (tptp.k4_finseq_2 (tptp.k1_nat_1 A B) C)))))))))))) (forall ((A $$unsorted)) (=> (tptp.m2_subset_1 A tptp.k1_numbers tptp.k5_numbers) (forall ((B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (=> (and (not (tptp.v1_xboole_0 C)) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 B))) (forall ((D $$unsorted)) (=> (tptp.m2_finseq_2 D C (tptp.k4_finseq_2 A C)) (tptp.m2_finseq_2 D B (tptp.k4_finseq_2 A B)))))))))) (forall ((A $$unsorted)) (=> (tptp.m2_subset_1 A tptp.k1_numbers tptp.k5_numbers) (forall ((B $$unsorted)) (=> (tptp.m2_subset_1 B tptp.k1_numbers tptp.k5_numbers) (forall ((C $$unsorted)) (=> (not (tptp.v1_xboole_0 C)) (=> (= (tptp.k4_finseq_2 A C) (tptp.k4_finseq_2 B C)) (= A B)))))))) (forall ((A $$unsorted)) (=> (tptp.m2_subset_1 A tptp.k1_numbers tptp.k5_numbers) (tptp.m2_finseq_2 (tptp.k1_finseq_2 A) tptp.k5_numbers (tptp.k4_finseq_2 A tptp.k5_numbers)))) (forall ((A $$unsorted)) (=> (tptp.m2_subset_1 A tptp.k1_numbers tptp.k5_numbers) (forall ((B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C B) (tptp.m2_finseq_2 (tptp.k2_finseq_2 A C) B (tptp.k4_finseq_2 A B)))))))) (forall ((A $$unsorted)) (=> (tptp.m2_subset_1 A tptp.k1_numbers tptp.k5_numbers) (forall ((B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (=> (not (tptp.v1_xboole_0 C)) (forall ((D $$unsorted)) (=> (tptp.m2_finseq_2 D B (tptp.k4_finseq_2 A B)) (forall ((E $$unsorted)) (=> (and (tptp.v1_funct_1 E) (tptp.v1_funct_2 E B C) (tptp.m2_relset_1 E B C)) (tptp.m2_finseq_2 (tptp.k1_partfun1 tptp.k5_numbers B B C D E) C (tptp.k4_finseq_2 A C)))))))))))) (forall ((A $$unsorted)) (=> (tptp.m2_subset_1 A tptp.k1_numbers tptp.k5_numbers) (forall ((B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (=> (tptp.m2_finseq_2 C B (tptp.k4_finseq_2 A B)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k2_finseq_1 A))) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D _let_1 _let_1) (tptp.m2_relset_1 D _let_1 _let_1)) (=> (= (tptp.k2_relat_1 D) _let_1) (tptp.m2_finseq_2 (tptp.k1_partfun1 _let_1 _let_1 tptp.k5_numbers B D C) B (tptp.k4_finseq_2 A B)))))))))))) (forall ((A $$unsorted)) (=> (tptp.m2_subset_1 A tptp.k1_numbers tptp.k5_numbers) (forall ((B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (=> (tptp.m2_finseq_2 C B (tptp.k4_finseq_2 A B)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k2_finseq_1 A))) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D _let_1 _let_1) (tptp.v3_funct_2 D _let_1 _let_1) (tptp.m2_relset_1 D _let_1 _let_1)) (tptp.m2_finseq_2 (tptp.k1_partfun1 _let_1 _let_1 tptp.k5_numbers B D C) B (tptp.k4_finseq_2 A B))))))))))) (forall ((A $$unsorted)) (=> (tptp.m2_subset_1 A tptp.k1_numbers tptp.k5_numbers) (forall ((B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (=> (tptp.m2_finseq_2 C B (tptp.k4_finseq_2 A B)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D B) (= (tptp.k1_funct_1 (tptp.k8_finseq_1 B C (tptp.k12_finseq_1 B D)) (tptp.k1_nat_1 A tptp.np__1)) D))))))))) (forall ((A $$unsorted)) (=> (tptp.m2_subset_1 A tptp.k1_numbers tptp.k5_numbers) (forall ((B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (=> (tptp.m2_finseq_2 C B (tptp.k4_finseq_2 (tptp.k1_nat_1 A tptp.np__1) B)) (exists ((D $$unsorted)) (and (tptp.m2_finseq_2 D B (tptp.k4_finseq_2 A B)) (exists ((E $$unsorted)) (and (tptp.m1_subset_1 E B) (= C (tptp.k8_finseq_1 B D (tptp.k12_finseq_1 B E))))))))))))) (forall ((A $$unsorted)) (=> (tptp.m2_subset_1 A tptp.k1_numbers tptp.k5_numbers) (forall ((B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (=> (tptp.m2_finseq_2 C B (tptp.k4_finseq_2 A B)) (= (tptp.k5_relat_1 (tptp.k1_finseq_2 A) C) C))))))) (forall ((A $$unsorted)) (=> (tptp.m2_subset_1 A tptp.k1_numbers tptp.k5_numbers) (forall ((B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (=> (tptp.m2_finseq_2 C B (tptp.k4_finseq_2 A B)) (forall ((D $$unsorted)) (=> (tptp.m2_finseq_2 D B (tptp.k4_finseq_2 A B)) (=> (forall ((E $$unsorted)) (=> (tptp.m2_subset_1 E tptp.k1_numbers tptp.k5_numbers) (=> (tptp.r2_hidden E (tptp.k2_finseq_1 A)) (= (tptp.k1_funct_1 C E) (tptp.k1_funct_1 D E))))) (= C D)))))))))) (forall ((A $$unsorted)) (=> (tptp.m2_subset_1 A tptp.k1_numbers tptp.k5_numbers) (forall ((B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (=> (not (tptp.v1_xboole_0 C)) (forall ((D $$unsorted)) (=> (not (tptp.v1_xboole_0 D)) (forall ((E $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 B C))) (=> (and (tptp.v1_funct_1 E) (tptp.v1_funct_2 E _let_1 D) (tptp.m2_relset_1 E _let_1 D)) (forall ((F $$unsorted)) (=> (tptp.m2_finseq_2 F B (tptp.k4_finseq_2 A B)) (forall ((G $$unsorted)) (=> (tptp.m2_finseq_2 G C (tptp.k4_finseq_2 A C)) (tptp.m2_finseq_2 (tptp.k3_funcop_1 E F G) D (tptp.k4_finseq_2 A D))))))))))))))))) (forall ((A $$unsorted)) (=> (tptp.m2_subset_1 A tptp.k1_numbers tptp.k5_numbers) (forall ((B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (=> (not (tptp.v1_xboole_0 C)) (forall ((D $$unsorted)) (=> (not (tptp.v1_xboole_0 D)) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E B) (forall ((F $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 B C))) (=> (and (tptp.v1_funct_1 F) (tptp.v1_funct_2 F _let_1 D) (tptp.m2_relset_1 F _let_1 D)) (forall ((G $$unsorted)) (=> (tptp.m2_finseq_2 G C (tptp.k4_finseq_2 A C)) (tptp.m2_finseq_2 (tptp.k5_funcop_1 F E G) D (tptp.k4_finseq_2 A D))))))))))))))))) (forall ((A $$unsorted)) (=> (tptp.m2_subset_1 A tptp.k1_numbers tptp.k5_numbers) (forall ((B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (=> (not (tptp.v1_xboole_0 C)) (forall ((D $$unsorted)) (=> (not (tptp.v1_xboole_0 D)) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E C) (forall ((F $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 B C))) (=> (and (tptp.v1_funct_1 F) (tptp.v1_funct_2 F _let_1 D) (tptp.m2_relset_1 F _let_1 D)) (forall ((G $$unsorted)) (=> (tptp.m2_finseq_2 G B (tptp.k4_finseq_2 A B)) (tptp.m2_finseq_2 (tptp.k4_funcop_1 F G E) D (tptp.k4_finseq_2 A D))))))))))))))))) (forall ((A $$unsorted)) (=> (tptp.m2_subset_1 A tptp.k1_numbers tptp.k5_numbers) (forall ((B $$unsorted)) (=> (tptp.m2_subset_1 B tptp.k1_numbers tptp.k5_numbers) (forall ((C $$unsorted)) (= (tptp.k2_finseq_2 (tptp.k1_nat_1 A B) C) (tptp.k7_finseq_1 (tptp.k2_finseq_2 A C) (tptp.k2_finseq_2 B C)))))))) (forall ((A $$unsorted)) (=> (tptp.m2_subset_1 A tptp.k1_numbers tptp.k5_numbers) (forall ((B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (=> (tptp.m2_finseq_2 C B (tptp.k4_finseq_2 A B)) (= (tptp.k4_finseq_1 C) (tptp.k2_finseq_1 A)))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k1_relat_1 A))) (=> (and (tptp.r2_hidden B _let_1) (tptp.r2_hidden C _let_1)) (= (tptp.k5_relat_1 (tptp.k10_finseq_1 B C) A) (tptp.k10_finseq_1 (tptp.k1_funct_1 A B) (tptp.k1_funct_1 A C)))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k1_relat_1 A))) (=> (and (tptp.r2_hidden B _let_1) (tptp.r2_hidden C _let_1) (tptp.r2_hidden D _let_1)) (= (tptp.k5_relat_1 (tptp.k11_finseq_1 B C D) A) (tptp.k11_finseq_1 (tptp.k1_funct_1 A B) (tptp.k1_funct_1 A C) (tptp.k1_funct_1 A D)))))))) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.k2_relat_1 (tptp.k10_finseq_1 A B)) (tptp.k2_tarski A B))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.k2_relat_1 (tptp.k11_finseq_1 A B C)) (tptp.k1_enumset1 A B C))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_finseq_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (tptp.v1_finseq_1 B)) (forall ((C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C) (tptp.v1_finseq_1 C)) (=> (and (tptp.r1_tarski A C) (tptp.r1_tarski B C) (= (tptp.k3_finseq_1 A) (tptp.k3_finseq_1 B))) (= A B)))))))) (exists ((A $$unsorted)) (and (tptp.m2_finseq_1 A tptp.f2_s1_finseq_2) (= (tptp.k3_finseq_1 A) tptp.f1_s1_finseq_2) (forall ((B $$unsorted)) (=> (tptp.m2_subset_1 B tptp.k1_numbers tptp.k5_numbers) (=> (tptp.r2_hidden B (tptp.k2_finseq_1 tptp.f1_s1_finseq_2)) (= (tptp.k1_funct_1 A B) (tptp.f3_s1_finseq_2 B))))))) (=> (and (tptp.p1_s2_finseq_2 (tptp.k6_finseq_1 tptp.f1_s2_finseq_2)) (forall ((A $$unsorted)) (=> (tptp.m2_finseq_1 A tptp.f1_s2_finseq_2) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.f1_s2_finseq_2) (=> (tptp.p1_s2_finseq_2 A) (tptp.p1_s2_finseq_2 (tptp.k8_finseq_1 tptp.f1_s2_finseq_2 A (tptp.k12_finseq_1 tptp.f1_s2_finseq_2 B))))))))) (forall ((A $$unsorted)) (=> (tptp.m2_finseq_1 A tptp.f1_s2_finseq_2) (tptp.p1_s2_finseq_2 A)))) true (forall ((A $$unsorted)) (exists ((B $$unsorted)) (tptp.m1_finseq_2 B A))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.m1_finseq_2 B A)) (forall ((C $$unsorted)) (=> (tptp.m2_finseq_2 C A B) (tptp.m2_finseq_1 C A))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.m1_finseq_2 B A)) (exists ((C $$unsorted)) (tptp.m2_finseq_2 C A B)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.m1_finseq_2 B A)) (forall ((C $$unsorted)) (= (tptp.m2_finseq_2 C A B) (tptp.m1_subset_1 C B))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k1_finseq_2 A))) (=> (tptp.v4_ordinal2 A) (and (tptp.v1_relat_1 _let_1) (tptp.v1_funct_1 _let_1) (tptp.v1_finseq_1 _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k2_finseq_2 A B))) (=> (tptp.v4_ordinal2 A) (and (tptp.v1_relat_1 _let_1) (tptp.v1_funct_1 _let_1) (tptp.v1_finseq_1 _let_1))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k3_finseq_2 A))) (and (not (tptp.v1_xboole_0 _let_1)) (tptp.m1_finseq_2 _let_1 A)))) (forall ((A $$unsorted)) (= (tptp.k3_finseq_2 A) (tptp.k13_finseq_1 A))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.v4_ordinal2 A) (tptp.m1_finseq_2 (tptp.k4_finseq_2 A B) B))) (forall ((A $$unsorted)) (=> (tptp.v4_ordinal2 A) (forall ((B $$unsorted)) (= (tptp.k4_finseq_2 A B) (tptp.a_2_0_finseq_2 A B))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (= (tptp.k4_finseq_2 tptp.np__1 A) (tptp.a_1_0_finseq_2 A)))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (= (tptp.k4_finseq_2 tptp.np__2 A) (tptp.a_1_1_finseq_2 A)))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (= (tptp.k4_finseq_2 tptp.np__3 A) (tptp.a_1_2_finseq_2 A)))) (forall ((A $$unsorted)) (=> (tptp.m2_subset_1 A tptp.k1_numbers tptp.k5_numbers) (forall ((B $$unsorted)) (=> (tptp.m2_subset_1 B tptp.k1_numbers tptp.k5_numbers) (forall ((C $$unsorted)) (=> (not (tptp.v1_xboole_0 C)) (= (tptp.k4_finseq_2 (tptp.k1_nat_1 A B) C) (tptp.a_3_0_finseq_2 A B C)))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (= (tptp.k3_finseq_2 A) (tptp.k3_tarski (tptp.a_1_3_finseq_2 A))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.v4_ordinal2 B) (= (tptp.r2_hidden A (tptp.a_2_0_finseq_2 B C)) (exists ((D $$unsorted)) (and (tptp.m2_finseq_2 D C (tptp.k3_finseq_2 C)) (= A D) (= (tptp.k3_finseq_1 D) B)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (= (tptp.r2_hidden A (tptp.a_1_0_finseq_2 B)) (exists ((C $$unsorted)) (and (tptp.m1_subset_1 C B) (= A (tptp.k12_finseq_1 B C))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (= (tptp.r2_hidden A (tptp.a_1_1_finseq_2 B)) (exists ((C $$unsorted) (D $$unsorted)) (and (tptp.m1_subset_1 C B) (tptp.m1_subset_1 D B) (= A (tptp.k10_finseq_1 C D))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (= (tptp.r2_hidden A (tptp.a_1_2_finseq_2 B)) (exists ((C $$unsorted) (D $$unsorted) (E $$unsorted)) (and (tptp.m1_subset_1 C B) (tptp.m1_subset_1 D B) (tptp.m1_subset_1 E B) (= A (tptp.k11_finseq_1 C D E))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.m2_subset_1 B tptp.k1_numbers tptp.k5_numbers) (tptp.m2_subset_1 C tptp.k1_numbers tptp.k5_numbers) (not (tptp.v1_xboole_0 D))) (= (tptp.r2_hidden A (tptp.a_3_0_finseq_2 B C D)) (exists ((E $$unsorted) (F $$unsorted)) (and (tptp.m2_finseq_2 E D (tptp.k4_finseq_2 B D)) (tptp.m2_finseq_2 F D (tptp.k4_finseq_2 C D)) (= A (tptp.k8_finseq_1 D E F))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (= (tptp.r2_hidden A (tptp.a_1_3_finseq_2 B)) (exists ((C $$unsorted)) (and (tptp.m2_subset_1 C tptp.k1_numbers tptp.k5_numbers) (= A (tptp.k4_finseq_2 C B))))))) (exists ((A $$unsorted)) (and (tptp.v1_relat_1 A) (tptp.v3_relat_1 A) (tptp.v1_funct_1 A))) (forall ((A $$unsorted)) (exists ((B $$unsorted)) (and (tptp.m1_pboole B A) (tptp.v1_relat_1 B) (tptp.v3_relat_1 B) (tptp.v1_funct_1 B)))) (forall ((A $$unsorted)) (exists ((B $$unsorted)) (and (tptp.m1_pboole B A) (tptp.v1_relat_1 B) (tptp.v2_relat_1 B) (tptp.v1_funct_1 B)))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (tptp.m1_pboole B A) (=> (tptp.v2_relat_1 B) (not (tptp.v3_relat_1 B))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (tptp.m1_pboole B A) (=> (tptp.v3_relat_1 B) (not (tptp.v2_relat_1 B))))))) (forall ((A $$unsorted)) (exists ((B $$unsorted)) (and (tptp.m1_pboole B A) (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (tptp.v1_funcop_1 B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.m1_pboole B A) (tptp.m1_pboole C A)) (forall ((D $$unsorted)) (=> (tptp.m3_pboole D A B C) (tptp.v1_funcop_1 D))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k6_pboole A B))) (=> (and (tptp.v2_relat_1 B) (tptp.m1_pboole B A)) (and (tptp.v1_relat_1 _let_1) (tptp.v2_relat_1 _let_1) (not (tptp.v3_relat_1 _let_1)) (tptp.v1_funct_1 _let_1))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v2_relat_1 B) (tptp.m1_pboole B A) (tptp.m1_subset_1 C A)) (not (tptp.v1_xboole_0 (tptp.k1_funct_1 B C))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v2_relat_1 B) (tptp.m1_pboole B A)) (exists ((C $$unsorted)) (and (tptp.m4_pboole C A B) (tptp.v1_relat_1 C) (tptp.v2_relat_1 C) (tptp.v1_funct_1 C))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k1_pboole A))) (and (tptp.v1_relat_1 _let_1) (tptp.v3_relat_1 _let_1) (tptp.v1_funct_1 _let_1)))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (=> (tptp.v2_relat_1 A) (tptp.v1_setfam_1 (tptp.k2_relat_1 A))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (= (tptp.v3_relat_1 A) (or (= A tptp.k1_xboole_0) (= (tptp.k2_relat_1 A) (tptp.k1_tarski tptp.k1_xboole_0)))))) true true (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (= (tptp.m1_pboole B A) (= (tptp.k1_relat_1 B) A)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m1_pboole C A) (= (tptp.r1_pboole A B C) (forall ((D $$unsorted)) (=> (tptp.r2_hidden D A) (tptp.r2_hidden (tptp.k1_funct_1 B D) (tptp.k1_funct_1 C D))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m1_pboole C A) (= (tptp.r2_pboole A B C) (forall ((D $$unsorted)) (=> (tptp.r2_hidden D A) (tptp.r1_tarski (tptp.k1_funct_1 B D) (tptp.k1_funct_1 C D))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m1_pboole C A) (=> (forall ((D $$unsorted)) (=> (tptp.r2_hidden D A) (= (tptp.k1_funct_1 B D) (tptp.k1_funct_1 C D)))) (= B C)))))) (forall ((A $$unsorted)) (= (tptp.k1_pboole A) (tptp.k2_funcop_1 A tptp.k1_xboole_0))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m1_pboole C A) (forall ((D $$unsorted)) (=> (tptp.m1_pboole D A) (= (= D (tptp.k2_pboole A B C)) (forall ((E $$unsorted)) (=> (tptp.r2_hidden E A) (= (tptp.k1_funct_1 D E) (tptp.k2_xboole_0 (tptp.k1_funct_1 B E) (tptp.k1_funct_1 C E)))))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m1_pboole C A) (forall ((D $$unsorted)) (=> (tptp.m1_pboole D A) (= (= D (tptp.k3_pboole A B C)) (forall ((E $$unsorted)) (=> (tptp.r2_hidden E A) (= (tptp.k1_funct_1 D E) (tptp.k3_xboole_0 (tptp.k1_funct_1 B E) (tptp.k1_funct_1 C E)))))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m1_pboole C A) (forall ((D $$unsorted)) (=> (tptp.m1_pboole D A) (= (= D (tptp.k4_pboole A B C)) (forall ((E $$unsorted)) (=> (tptp.r2_hidden E A) (= (tptp.k1_funct_1 D E) (tptp.k4_xboole_0 (tptp.k1_funct_1 B E) (tptp.k1_funct_1 C E)))))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m1_pboole C A) (= (tptp.r4_pboole A B C) (forall ((D $$unsorted)) (not (and (tptp.r2_hidden D A) (tptp.r1_xboole_0 (tptp.k1_funct_1 B D) (tptp.k1_funct_1 C D)))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m1_pboole C A) (= (tptp.r5_pboole A B C) (forall ((D $$unsorted)) (=> (tptp.r2_hidden D A) (tptp.r1_xboole_0 (tptp.k1_funct_1 B D) (tptp.k1_funct_1 C D))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m1_pboole C A) (= (tptp.k5_pboole A B C) (tptp.k2_pboole A (tptp.k4_pboole A B C) (tptp.k4_pboole A C B))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m1_pboole C A) (forall ((D $$unsorted)) (=> (tptp.r2_hidden D A) (= (tptp.k1_funct_1 (tptp.k5_pboole A B C) D) (tptp.k5_xboole_0 (tptp.k1_funct_1 B D) (tptp.k1_funct_1 C D))))))))) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.k1_funct_1 (tptp.k1_pboole B) A) tptp.k1_xboole_0)) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (=> (forall ((C $$unsorted)) (=> (tptp.r2_hidden C A) (= (tptp.k1_funct_1 B C) tptp.k1_xboole_0))) (= B (tptp.k1_pboole A))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m1_pboole C A) (forall ((D $$unsorted)) (=> (tptp.m1_pboole D A) (=> (or (tptp.r1_pboole A B C) (tptp.r1_pboole A B D)) (tptp.r1_pboole A B (tptp.k2_pboole A C D))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m1_pboole C A) (forall ((D $$unsorted)) (=> (tptp.m1_pboole D A) (= (tptp.r1_pboole A B (tptp.k3_pboole A C D)) (and (tptp.r1_pboole A B C) (tptp.r1_pboole A B D))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m1_pboole C A) (forall ((D $$unsorted)) (=> (tptp.m1_pboole D A) (=> (and (tptp.r1_pboole A B C) (tptp.r2_pboole A C D)) (tptp.r1_pboole A B D)))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m1_pboole C A) (forall ((D $$unsorted)) (=> (tptp.m1_pboole D A) (=> (and (tptp.r1_pboole A B C) (tptp.r1_pboole A B D)) (tptp.r4_pboole A C D)))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m1_pboole C A) (not (and (tptp.r4_pboole A B C) (forall ((D $$unsorted)) (=> (tptp.m1_pboole D A) (not (and (tptp.r1_pboole A D B) (tptp.r1_pboole A D C))))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m1_pboole C A) (forall ((D $$unsorted)) (=> (tptp.m1_pboole D A) (=> (tptp.r1_pboole A B (tptp.k4_pboole A C D)) (tptp.r1_pboole A B C)))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m1_pboole C A) (= (tptp.r6_pboole A B C) (and (tptp.r2_pboole A B C) (tptp.r2_pboole A C B))))))) true true (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m1_pboole C A) (forall ((D $$unsorted)) (=> (tptp.m1_pboole D A) (=> (and (tptp.r2_pboole A B C) (tptp.r2_pboole A C D)) (tptp.r2_pboole A B D)))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k2_pboole A B C))) (=> (tptp.m1_pboole C A) (and (tptp.r2_pboole A B _let_1) (tptp.r2_pboole A C _let_1))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k3_pboole A B C))) (=> (tptp.m1_pboole C A) (and (tptp.r2_pboole A _let_1 B) (tptp.r2_pboole A _let_1 C))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m1_pboole C A) (forall ((D $$unsorted)) (=> (tptp.m1_pboole D A) (=> (and (tptp.r2_pboole A B C) (tptp.r2_pboole A D C)) (tptp.r2_pboole A (tptp.k2_pboole A B D) C)))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m1_pboole C A) (forall ((D $$unsorted)) (=> (tptp.m1_pboole D A) (=> (and (tptp.r2_pboole A B C) (tptp.r2_pboole A B D)) (tptp.r2_pboole A B (tptp.k3_pboole A C D))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m1_pboole C A) (forall ((D $$unsorted)) (=> (tptp.m1_pboole D A) (=> (tptp.r2_pboole A B C) (and (tptp.r2_pboole A (tptp.k2_pboole A B D) (tptp.k2_pboole A C D)) (tptp.r2_pboole A (tptp.k2_pboole A D B) (tptp.k2_pboole A D C)))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m1_pboole C A) (forall ((D $$unsorted)) (=> (tptp.m1_pboole D A) (=> (tptp.r2_pboole A B C) (and (tptp.r2_pboole A (tptp.k3_pboole A B D) (tptp.k3_pboole A C D)) (tptp.r2_pboole A (tptp.k3_pboole A D B) (tptp.k3_pboole A D C)))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m1_pboole C A) (forall ((D $$unsorted)) (=> (tptp.m1_pboole D A) (forall ((E $$unsorted)) (=> (tptp.m1_pboole E A) (=> (and (tptp.r2_pboole A B C) (tptp.r2_pboole A D E)) (tptp.r2_pboole A (tptp.k2_pboole A B D) (tptp.k2_pboole A C E))))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m1_pboole C A) (forall ((D $$unsorted)) (=> (tptp.m1_pboole D A) (forall ((E $$unsorted)) (=> (tptp.m1_pboole E A) (=> (and (tptp.r2_pboole A B C) (tptp.r2_pboole A D E)) (tptp.r2_pboole A (tptp.k3_pboole A B D) (tptp.k3_pboole A C E))))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m1_pboole C A) (=> (tptp.r2_pboole A B C) (and (tptp.r6_pboole A (tptp.k2_pboole A B C) C) (tptp.r6_pboole A (tptp.k2_pboole A C B) C))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m1_pboole C A) (=> (tptp.r2_pboole A B C) (and (tptp.r6_pboole A (tptp.k3_pboole A B C) B) (tptp.r6_pboole A (tptp.k3_pboole A C B) B))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m1_pboole C A) (forall ((D $$unsorted)) (=> (tptp.m1_pboole D A) (tptp.r2_pboole A (tptp.k3_pboole A B C) (tptp.k2_pboole A B D)))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m1_pboole C A) (forall ((D $$unsorted)) (=> (tptp.m1_pboole D A) (=> (tptp.r2_pboole A B C) (tptp.r6_pboole A (tptp.k2_pboole A B (tptp.k3_pboole A D C)) (tptp.k3_pboole A (tptp.k2_pboole A B D) C))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m1_pboole C A) (forall ((D $$unsorted)) (=> (tptp.m1_pboole D A) (= (tptp.r6_pboole A B (tptp.k2_pboole A C D)) (and (tptp.r2_pboole A C B) (tptp.r2_pboole A D B) (forall ((E $$unsorted)) (=> (tptp.m1_pboole E A) (=> (and (tptp.r2_pboole A C E) (tptp.r2_pboole A D E)) (tptp.r2_pboole A B E)))))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m1_pboole C A) (forall ((D $$unsorted)) (=> (tptp.m1_pboole D A) (= (tptp.r6_pboole A B (tptp.k3_pboole A C D)) (and (tptp.r2_pboole A B C) (tptp.r2_pboole A B D) (forall ((E $$unsorted)) (=> (tptp.m1_pboole E A) (=> (and (tptp.r2_pboole A E C) (tptp.r2_pboole A E D)) (tptp.r2_pboole A E B)))))))))))) true true true true (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m1_pboole C A) (forall ((D $$unsorted)) (=> (tptp.m1_pboole D A) (tptp.r6_pboole A (tptp.k2_pboole A (tptp.k2_pboole A B C) D) (tptp.k2_pboole A B (tptp.k2_pboole A C D))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m1_pboole C A) (forall ((D $$unsorted)) (=> (tptp.m1_pboole D A) (tptp.r6_pboole A (tptp.k3_pboole A (tptp.k3_pboole A B C) D) (tptp.k3_pboole A B (tptp.k3_pboole A C D))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k2_pboole A C B))) (let ((_let_2 (tptp.k2_pboole A B C))) (=> (tptp.m1_pboole C A) (and (tptp.r6_pboole A (tptp.k3_pboole A B _let_2) B) (tptp.r6_pboole A (tptp.k3_pboole A _let_2 B) B) (tptp.r6_pboole A (tptp.k3_pboole A B _let_1) B) (tptp.r6_pboole A (tptp.k3_pboole A _let_1 B) B)))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k3_pboole A C B))) (let ((_let_2 (tptp.k3_pboole A B C))) (=> (tptp.m1_pboole C A) (and (tptp.r6_pboole A (tptp.k2_pboole A B _let_2) B) (tptp.r6_pboole A (tptp.k2_pboole A _let_2 B) B) (tptp.r6_pboole A (tptp.k2_pboole A B _let_1) B) (tptp.r6_pboole A (tptp.k2_pboole A _let_1 B) B)))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m1_pboole C A) (forall ((D $$unsorted)) (=> (tptp.m1_pboole D A) (tptp.r6_pboole A (tptp.k3_pboole A B (tptp.k2_pboole A C D)) (tptp.k2_pboole A (tptp.k3_pboole A B C) (tptp.k3_pboole A B D))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m1_pboole C A) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k3_pboole A C D))) (=> (tptp.m1_pboole D A) (and (tptp.r6_pboole A (tptp.k2_pboole A B _let_1) (tptp.k3_pboole A (tptp.k2_pboole A B C) (tptp.k2_pboole A B D))) (tptp.r6_pboole A (tptp.k2_pboole A _let_1 B) (tptp.k3_pboole A (tptp.k2_pboole A C B) (tptp.k2_pboole A D B))))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m1_pboole C A) (forall ((D $$unsorted)) (=> (tptp.m1_pboole D A) (=> (tptp.r6_pboole A (tptp.k2_pboole A (tptp.k3_pboole A B C) (tptp.k3_pboole A B D)) B) (tptp.r2_pboole A B (tptp.k2_pboole A C D))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m1_pboole C A) (forall ((D $$unsorted)) (=> (tptp.m1_pboole D A) (=> (tptp.r6_pboole A (tptp.k3_pboole A (tptp.k2_pboole A B C) (tptp.k2_pboole A B D)) B) (tptp.r2_pboole A (tptp.k3_pboole A C D) B)))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m1_pboole C A) (forall ((D $$unsorted)) (=> (tptp.m1_pboole D A) (tptp.r6_pboole A (tptp.k2_pboole A (tptp.k2_pboole A (tptp.k3_pboole A B C) (tptp.k3_pboole A C D)) (tptp.k3_pboole A D B)) (tptp.k3_pboole A (tptp.k3_pboole A (tptp.k2_pboole A B C) (tptp.k2_pboole A C D)) (tptp.k2_pboole A D B))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m1_pboole C A) (forall ((D $$unsorted)) (=> (tptp.m1_pboole D A) (=> (tptp.r2_pboole A (tptp.k2_pboole A B C) D) (and (tptp.r2_pboole A B D) (tptp.r2_pboole A C D))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m1_pboole C A) (forall ((D $$unsorted)) (=> (tptp.m1_pboole D A) (=> (tptp.r2_pboole A B (tptp.k3_pboole A C D)) (and (tptp.r2_pboole A B C) (tptp.r2_pboole A B D))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m1_pboole C A) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k2_pboole A B D))) (let ((_let_2 (tptp.k2_pboole A B C))) (let ((_let_3 (tptp.k2_pboole A C D))) (=> (tptp.m1_pboole D A) (and (tptp.r6_pboole A (tptp.k2_pboole A _let_2 D) (tptp.k2_pboole A _let_1 _let_3)) (tptp.r6_pboole A (tptp.k2_pboole A B _let_3) (tptp.k2_pboole A _let_2 _let_1)))))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m1_pboole C A) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k3_pboole A B D))) (let ((_let_2 (tptp.k3_pboole A B C))) (let ((_let_3 (tptp.k3_pboole A C D))) (=> (tptp.m1_pboole D A) (and (tptp.r6_pboole A (tptp.k3_pboole A _let_2 D) (tptp.k3_pboole A _let_1 _let_3)) (tptp.r6_pboole A (tptp.k3_pboole A B _let_3) (tptp.k3_pboole A _let_2 _let_1)))))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k2_pboole A B C))) (=> (tptp.m1_pboole C A) (and (tptp.r6_pboole A (tptp.k2_pboole A B _let_1) _let_1) (tptp.r6_pboole A (tptp.k2_pboole A _let_1 C) _let_1))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k3_pboole A B C))) (=> (tptp.m1_pboole C A) (and (tptp.r6_pboole A (tptp.k3_pboole A B _let_1) _let_1) (tptp.r6_pboole A (tptp.k3_pboole A _let_1 C) _let_1))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (tptp.r2_pboole A (tptp.k1_pboole A) B))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k1_pboole A))) (=> (tptp.m1_pboole B A) (=> (tptp.r2_pboole A B _let_1) (tptp.r6_pboole A B _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m1_pboole C A) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k1_pboole A))) (=> (tptp.m1_pboole D A) (=> (and (tptp.r2_pboole A B C) (tptp.r2_pboole A B D) (tptp.r6_pboole A (tptp.k3_pboole A C D) _let_1)) (tptp.r6_pboole A B _let_1))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m1_pboole C A) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k1_pboole A))) (=> (tptp.m1_pboole D A) (=> (and (tptp.r2_pboole A B C) (tptp.r6_pboole A (tptp.k3_pboole A C D) _let_1)) (tptp.r6_pboole A (tptp.k3_pboole A B D) _let_1))))))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k1_pboole A))) (=> (tptp.m1_pboole B A) (and (tptp.r6_pboole A (tptp.k2_pboole A B _let_1) B) (tptp.r6_pboole A (tptp.k2_pboole A _let_1 B) B))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k1_pboole A))) (=> (tptp.m1_pboole C A) (=> (tptp.r6_pboole A (tptp.k2_pboole A B C) _let_1) (and (tptp.r6_pboole A B _let_1) (tptp.r6_pboole A C _let_1)))))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k1_pboole A))) (=> (tptp.m1_pboole B A) (and (tptp.r6_pboole A (tptp.k3_pboole A B _let_1) _let_1) (tptp.r6_pboole A (tptp.k3_pboole A _let_1 B) _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m1_pboole C A) (forall ((D $$unsorted)) (=> (tptp.m1_pboole D A) (=> (and (tptp.r2_pboole A B (tptp.k2_pboole A C D)) (tptp.r6_pboole A (tptp.k3_pboole A B D) (tptp.k1_pboole A))) (tptp.r2_pboole A B C)))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k1_pboole A))) (=> (tptp.m1_pboole C A) (=> (and (tptp.r2_pboole A B C) (tptp.r6_pboole A (tptp.k3_pboole A C B) _let_1)) (tptp.r6_pboole A B _let_1))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m1_pboole C A) (= (tptp.r6_pboole A (tptp.k4_pboole A B C) (tptp.k1_pboole A)) (tptp.r2_pboole A B C)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m1_pboole C A) (forall ((D $$unsorted)) (=> (tptp.m1_pboole D A) (=> (tptp.r2_pboole A B C) (tptp.r2_pboole A (tptp.k4_pboole A B D) (tptp.k4_pboole A C D))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m1_pboole C A) (forall ((D $$unsorted)) (=> (tptp.m1_pboole D A) (=> (tptp.r2_pboole A B C) (tptp.r2_pboole A (tptp.k4_pboole A D C) (tptp.k4_pboole A D B))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m1_pboole C A) (forall ((D $$unsorted)) (=> (tptp.m1_pboole D A) (forall ((E $$unsorted)) (=> (tptp.m1_pboole E A) (=> (and (tptp.r2_pboole A B C) (tptp.r2_pboole A D E)) (tptp.r2_pboole A (tptp.k4_pboole A B E) (tptp.k4_pboole A C D))))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m1_pboole C A) (tptp.r2_pboole A (tptp.k4_pboole A B C) B))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m1_pboole C A) (=> (tptp.r2_pboole A B (tptp.k4_pboole A C B)) (tptp.r6_pboole A B (tptp.k1_pboole A))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (tptp.r6_pboole A (tptp.k4_pboole A B B) (tptp.k1_pboole A)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (tptp.r6_pboole A (tptp.k4_pboole A B (tptp.k1_pboole A)) B))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k1_pboole A))) (=> (tptp.m1_pboole B A) (tptp.r6_pboole A (tptp.k4_pboole A _let_1 B) _let_1)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k1_pboole A))) (=> (tptp.m1_pboole C A) (and (tptp.r6_pboole A (tptp.k4_pboole A B (tptp.k2_pboole A B C)) _let_1) (tptp.r6_pboole A (tptp.k4_pboole A B (tptp.k2_pboole A C B)) _let_1))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m1_pboole C A) (forall ((D $$unsorted)) (=> (tptp.m1_pboole D A) (tptp.r6_pboole A (tptp.k3_pboole A B (tptp.k4_pboole A C D)) (tptp.k4_pboole A (tptp.k3_pboole A B C) D)))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k1_pboole A))) (let ((_let_2 (tptp.k4_pboole A B C))) (=> (tptp.m1_pboole C A) (and (tptp.r6_pboole A (tptp.k3_pboole A _let_2 C) _let_1) (tptp.r6_pboole A (tptp.k3_pboole A C _let_2) _let_1)))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m1_pboole C A) (forall ((D $$unsorted)) (=> (tptp.m1_pboole D A) (tptp.r6_pboole A (tptp.k4_pboole A B (tptp.k4_pboole A C D)) (tptp.k2_pboole A (tptp.k4_pboole A B C) (tptp.k3_pboole A B D))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k4_pboole A B C))) (let ((_let_2 (tptp.k3_pboole A B C))) (=> (tptp.m1_pboole C A) (and (tptp.r6_pboole A (tptp.k2_pboole A _let_1 _let_2) B) (tptp.r6_pboole A (tptp.k2_pboole A _let_2 _let_1) B)))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k4_pboole A C B))) (=> (tptp.m1_pboole C A) (=> (tptp.r2_pboole A B C) (and (tptp.r6_pboole A C (tptp.k2_pboole A B _let_1)) (tptp.r6_pboole A C (tptp.k2_pboole A _let_1 B))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k4_pboole A C B))) (=> (tptp.m1_pboole C A) (and (tptp.r6_pboole A (tptp.k2_pboole A B _let_1) (tptp.k2_pboole A B C)) (tptp.r6_pboole A (tptp.k2_pboole A _let_1 B) (tptp.k2_pboole A C B)))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m1_pboole C A) (tptp.r6_pboole A (tptp.k4_pboole A B (tptp.k4_pboole A B C)) (tptp.k3_pboole A B C)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m1_pboole C A) (forall ((D $$unsorted)) (=> (tptp.m1_pboole D A) (tptp.r6_pboole A (tptp.k4_pboole A B (tptp.k3_pboole A C D)) (tptp.k2_pboole A (tptp.k4_pboole A B C) (tptp.k4_pboole A B D))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k4_pboole A B C))) (=> (tptp.m1_pboole C A) (and (tptp.r6_pboole A (tptp.k4_pboole A B (tptp.k3_pboole A B C)) _let_1) (tptp.r6_pboole A (tptp.k4_pboole A B (tptp.k3_pboole A C B)) _let_1))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m1_pboole C A) (= (tptp.r6_pboole A (tptp.k3_pboole A B C) (tptp.k1_pboole A)) (tptp.r6_pboole A (tptp.k4_pboole A B C) B)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m1_pboole C A) (forall ((D $$unsorted)) (=> (tptp.m1_pboole D A) (tptp.r6_pboole A (tptp.k4_pboole A (tptp.k2_pboole A B C) D) (tptp.k2_pboole A (tptp.k4_pboole A B D) (tptp.k4_pboole A C D))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m1_pboole C A) (forall ((D $$unsorted)) (=> (tptp.m1_pboole D A) (tptp.r6_pboole A (tptp.k4_pboole A (tptp.k4_pboole A B C) D) (tptp.k4_pboole A B (tptp.k2_pboole A C D))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m1_pboole C A) (forall ((D $$unsorted)) (=> (tptp.m1_pboole D A) (tptp.r6_pboole A (tptp.k4_pboole A (tptp.k3_pboole A B C) D) (tptp.k3_pboole A (tptp.k4_pboole A B D) (tptp.k4_pboole A C D))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m1_pboole C A) (tptp.r6_pboole A (tptp.k4_pboole A (tptp.k2_pboole A B C) C) (tptp.k4_pboole A B C)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m1_pboole C A) (forall ((D $$unsorted)) (=> (tptp.m1_pboole D A) (=> (tptp.r2_pboole A B (tptp.k2_pboole A C D)) (and (tptp.r2_pboole A (tptp.k4_pboole A B C) D) (tptp.r2_pboole A (tptp.k4_pboole A B D) C))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m1_pboole C A) (tptp.r6_pboole A (tptp.k4_pboole A (tptp.k2_pboole A B C) (tptp.k3_pboole A B C)) (tptp.k2_pboole A (tptp.k4_pboole A B C) (tptp.k4_pboole A C B))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k4_pboole A B C))) (=> (tptp.m1_pboole C A) (tptp.r6_pboole A (tptp.k4_pboole A _let_1 C) _let_1)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m1_pboole C A) (forall ((D $$unsorted)) (=> (tptp.m1_pboole D A) (tptp.r6_pboole A (tptp.k4_pboole A B (tptp.k2_pboole A C D)) (tptp.k3_pboole A (tptp.k4_pboole A B C) (tptp.k4_pboole A B D))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m1_pboole C A) (=> (tptp.r6_pboole A (tptp.k4_pboole A B C) (tptp.k4_pboole A C B)) (tptp.r6_pboole A B C)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m1_pboole C A) (forall ((D $$unsorted)) (=> (tptp.m1_pboole D A) (tptp.r6_pboole A (tptp.k3_pboole A B (tptp.k4_pboole A C D)) (tptp.k4_pboole A (tptp.k3_pboole A B C) (tptp.k3_pboole A B D))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m1_pboole C A) (forall ((D $$unsorted)) (=> (tptp.m1_pboole D A) (=> (tptp.r2_pboole A (tptp.k4_pboole A B C) D) (tptp.r2_pboole A B (tptp.k2_pboole A C D))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m1_pboole C A) (tptp.r2_pboole A (tptp.k4_pboole A B C) (tptp.k5_pboole A B C)))))) true (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k1_pboole A))) (=> (tptp.m1_pboole B A) (and (tptp.r6_pboole A (tptp.k5_pboole A B _let_1) B) (tptp.r6_pboole A (tptp.k5_pboole A _let_1 B) B))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (tptp.r6_pboole A (tptp.k5_pboole A B B) (tptp.k1_pboole A)))) true (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m1_pboole C A) (tptp.r6_pboole A (tptp.k2_pboole A B C) (tptp.k2_pboole A (tptp.k5_pboole A B C) (tptp.k3_pboole A B C))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m1_pboole C A) (tptp.r6_pboole A (tptp.k5_pboole A B C) (tptp.k4_pboole A (tptp.k2_pboole A B C) (tptp.k3_pboole A B C))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m1_pboole C A) (forall ((D $$unsorted)) (=> (tptp.m1_pboole D A) (tptp.r6_pboole A (tptp.k4_pboole A (tptp.k5_pboole A B C) D) (tptp.k2_pboole A (tptp.k4_pboole A B (tptp.k2_pboole A C D)) (tptp.k4_pboole A C (tptp.k2_pboole A B D)))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m1_pboole C A) (forall ((D $$unsorted)) (=> (tptp.m1_pboole D A) (tptp.r6_pboole A (tptp.k4_pboole A B (tptp.k5_pboole A C D)) (tptp.k2_pboole A (tptp.k4_pboole A B (tptp.k2_pboole A C D)) (tptp.k3_pboole A (tptp.k3_pboole A B C) D))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m1_pboole C A) (forall ((D $$unsorted)) (=> (tptp.m1_pboole D A) (tptp.r6_pboole A (tptp.k5_pboole A (tptp.k5_pboole A B C) D) (tptp.k5_pboole A B (tptp.k5_pboole A C D))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m1_pboole C A) (forall ((D $$unsorted)) (=> (tptp.m1_pboole D A) (=> (and (tptp.r2_pboole A (tptp.k4_pboole A B C) D) (tptp.r2_pboole A (tptp.k4_pboole A C B) D)) (tptp.r2_pboole A (tptp.k5_pboole A B C) D)))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m1_pboole C A) (tptp.r6_pboole A (tptp.k2_pboole A B C) (tptp.k5_pboole A B (tptp.k4_pboole A C B))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m1_pboole C A) (tptp.r6_pboole A (tptp.k3_pboole A B C) (tptp.k5_pboole A B (tptp.k4_pboole A B C))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m1_pboole C A) (tptp.r6_pboole A (tptp.k4_pboole A B C) (tptp.k5_pboole A B (tptp.k3_pboole A B C))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m1_pboole C A) (tptp.r6_pboole A (tptp.k4_pboole A B C) (tptp.k5_pboole A C (tptp.k2_pboole A C B))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m1_pboole C A) (tptp.r6_pboole A (tptp.k2_pboole A B C) (tptp.k5_pboole A (tptp.k5_pboole A B C) (tptp.k3_pboole A B C))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m1_pboole C A) (tptp.r6_pboole A (tptp.k3_pboole A B C) (tptp.k5_pboole A (tptp.k5_pboole A B C) (tptp.k2_pboole A B C))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m1_pboole C A) (forall ((D $$unsorted)) (=> (tptp.m1_pboole D A) (=> (or (tptp.r4_pboole A B C) (tptp.r4_pboole A B D)) (tptp.r4_pboole A B (tptp.k2_pboole A C D))))))))) true (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m1_pboole C A) (forall ((D $$unsorted)) (=> (tptp.m1_pboole D A) (=> (and (tptp.r4_pboole A B C) (tptp.r2_pboole A C D)) (tptp.r4_pboole A B D)))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m1_pboole C A) (forall ((D $$unsorted)) (=> (tptp.m1_pboole D A) (=> (and (tptp.r4_pboole A B C) (tptp.r2_pboole A B D)) (tptp.r4_pboole A D C)))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m1_pboole C A) (forall ((D $$unsorted)) (=> (tptp.m1_pboole D A) (forall ((E $$unsorted)) (=> (tptp.m1_pboole E A) (=> (and (tptp.r2_pboole A B C) (tptp.r2_pboole A D E) (tptp.r4_pboole A B D)) (tptp.r4_pboole A C E)))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m1_pboole C A) (forall ((D $$unsorted)) (=> (tptp.m1_pboole D A) (=> (tptp.r4_pboole A B (tptp.k3_pboole A C D)) (and (tptp.r4_pboole A B C) (tptp.r4_pboole A B D))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m1_pboole C A) (forall ((D $$unsorted)) (=> (tptp.m1_pboole D A) (=> (and (tptp.r4_pboole A B C) (tptp.r2_pboole A B D)) (tptp.r4_pboole A B (tptp.k3_pboole A C D))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m1_pboole C A) (forall ((D $$unsorted)) (=> (tptp.m1_pboole D A) (=> (tptp.r4_pboole A B (tptp.k4_pboole A C D)) (tptp.r4_pboole A B C)))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m1_pboole C A) (forall ((D $$unsorted)) (=> (tptp.m1_pboole D A) (not (and (not (tptp.r4_pboole A B C)) (tptp.r4_pboole A (tptp.k3_pboole A D B) (tptp.k3_pboole A D C)))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m1_pboole C A) (forall ((D $$unsorted)) (=> (tptp.m1_pboole D A) (=> (tptp.r4_pboole A B (tptp.k4_pboole A C D)) (tptp.r4_pboole A C (tptp.k4_pboole A B D))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m1_pboole C A) (forall ((D $$unsorted)) (=> (tptp.m1_pboole D A) (not (and (not (tptp.r5_pboole A B C)) (tptp.r2_pboole A C D) (tptp.r5_pboole A B D))))))))) true (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m1_pboole C A) (tptp.r5_pboole A B (tptp.k4_pboole A C B)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m1_pboole C A) (tptp.r5_pboole A (tptp.k3_pboole A B C) (tptp.k4_pboole A B C)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m1_pboole C A) (tptp.r5_pboole A (tptp.k3_pboole A B C) (tptp.k5_pboole A B C)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m1_pboole C A) (=> (tptp.r5_pboole A B C) (tptp.r6_pboole A (tptp.k3_pboole A B C) (tptp.k1_pboole A))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (not (and (not (= B (tptp.k1_pboole A))) (tptp.r5_pboole A B B))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m1_pboole C A) (forall ((D $$unsorted)) (=> (tptp.m1_pboole D A) (=> (and (tptp.r2_pboole A B C) (tptp.r2_pboole A B D) (tptp.r5_pboole A C D)) (tptp.r6_pboole A B (tptp.k1_pboole A))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m1_pboole C A) (forall ((D $$unsorted)) (=> (tptp.m1_pboole D A) (forall ((E $$unsorted)) (=> (tptp.m1_pboole E A) (=> (and (tptp.r6_pboole A (tptp.k2_pboole A B C) (tptp.k2_pboole A D E)) (tptp.r5_pboole A D B) (tptp.r5_pboole A E C)) (and (tptp.r6_pboole A D C) (tptp.r6_pboole A E B))))))))))) true (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m1_pboole C A) (=> (tptp.r5_pboole A B C) (tptp.r6_pboole A (tptp.k4_pboole A B C) B)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m1_pboole C A) (=> (tptp.r5_pboole A B C) (tptp.r6_pboole A (tptp.k4_pboole A (tptp.k2_pboole A B C) C) B)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m1_pboole C A) (=> (tptp.r6_pboole A (tptp.k4_pboole A B C) B) (tptp.r5_pboole A B C)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m1_pboole C A) (tptp.r5_pboole A (tptp.k4_pboole A B C) (tptp.k4_pboole A C B)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m1_pboole C A) (= (tptp.r7_pboole A B C) (forall ((D $$unsorted)) (=> (tptp.m1_pboole D A) (=> (tptp.r1_pboole A D B) (tptp.r1_pboole A D C))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m1_pboole C A) (=> (tptp.r2_pboole A B C) (tptp.r7_pboole A B C)))))) true (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m1_pboole C A) (forall ((D $$unsorted)) (=> (tptp.m1_pboole D A) (=> (and (tptp.r7_pboole A B C) (tptp.r7_pboole A C D)) (tptp.r7_pboole A B D)))))))) (tptp.r1_pboole tptp.k1_xboole_0 _let_12 _let_12) (forall ((A $$unsorted)) (=> (tptp.m1_pboole A tptp.k1_xboole_0) (= A tptp.k1_xboole_0))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m1_pboole C A) (not (and (tptp.r4_pboole A B C) (tptp.r5_pboole A B C))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (tptp.m1_pboole B A) (not (tptp.r3_pboole A B (tptp.k1_pboole A))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m1_pboole C A) (forall ((D $$unsorted)) (=> (tptp.m1_pboole D A) (not (and (tptp.r3_pboole A B C) (tptp.r3_pboole A B D) (= (tptp.k3_pboole A C D) (tptp.k1_pboole A)))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k1_pboole A))) (=> (tptp.m1_pboole B A) (and (not (tptp.r4_pboole A B _let_1)) (not (tptp.r4_pboole A _let_1 B)))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m1_pboole C A) (not (and (tptp.r6_pboole A (tptp.k3_pboole A B C) (tptp.k1_pboole A)) (tptp.r4_pboole A B C))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (tptp.m1_pboole B A) (not (and (tptp.r4_pboole A B B) (= B (tptp.k1_pboole A)))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (= (tptp.v3_relat_1 B) (forall ((C $$unsorted)) (=> (tptp.r2_hidden C A) (tptp.v1_xboole_0 (tptp.k1_funct_1 B C))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (= (tptp.v2_relat_1 B) (forall ((C $$unsorted)) (not (and (tptp.r2_hidden C A) (tptp.v1_xboole_0 (tptp.k1_funct_1 B C)))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (= (tptp.v3_relat_1 B) (tptp.r6_pboole A B (tptp.k1_pboole A))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m1_pboole C A) (=> (and (tptp.v3_relat_1 B) (tptp.r2_pboole A C B)) (tptp.v3_relat_1 C)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m1_pboole C A) (=> (and (tptp.v2_relat_1 B) (tptp.r2_pboole A B C)) (tptp.v2_relat_1 C)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m1_pboole C A) (=> (and (tptp.v2_relat_1 B) (tptp.r7_pboole A B C)) (tptp.r2_pboole A B C)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m1_pboole C A) (=> (and (tptp.v2_relat_1 B) (tptp.r7_pboole A B C)) (tptp.v2_relat_1 C)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v2_relat_1 B) (tptp.m1_pboole B A)) (exists ((C $$unsorted)) (and (tptp.m1_pboole C A) (tptp.r1_pboole A C B))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (and (tptp.v2_relat_1 C) (tptp.m1_pboole C A)) (=> (forall ((D $$unsorted)) (=> (tptp.m1_pboole D A) (= (tptp.r1_pboole A D C) (tptp.r1_pboole A D B)))) (tptp.r6_pboole A C B)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m1_pboole C A) (forall ((D $$unsorted)) (=> (and (tptp.v2_relat_1 D) (tptp.m1_pboole D A)) (=> (forall ((E $$unsorted)) (=> (tptp.m1_pboole E A) (= (tptp.r1_pboole A E D) (and (tptp.r1_pboole A E B) (tptp.r1_pboole A E C))))) (tptp.r6_pboole A D (tptp.k3_pboole A B C))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v2_relat_1 B) (tptp.m1_pboole B A)) (not (tptp.r2_hidden tptp.k1_xboole_0 (tptp.k2_relat_1 B))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k2_relat_1 B)) (exists ((D $$unsorted)) (and (tptp.r2_hidden D A) (= C (tptp.k1_funct_1 B D)))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.r2_hidden C A) (tptp.m1_subset_1 (tptp.k1_funct_1 B C) (tptp.k2_relat_1 B)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m1_pboole C A) (= (tptp.m2_pboole C A B) (forall ((D $$unsorted)) (=> (tptp.r2_hidden D A) (tptp.m1_subset_1 (tptp.k1_funct_1 C D) (tptp.k1_funct_1 B D))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m1_pboole C A) (forall ((D $$unsorted)) (=> (tptp.m1_pboole D A) (= (tptp.m3_pboole D A B C) (forall ((E $$unsorted)) (let ((_let_1 (tptp.k1_funct_1 C E))) (let ((_let_2 (tptp.k1_funct_1 B E))) (let ((_let_3 (tptp.k1_funct_1 D E))) (=> (tptp.r2_hidden E A) (and (tptp.v1_funct_1 _let_3) (tptp.v1_funct_2 _let_3 _let_2 _let_1) (tptp.m2_relset_1 _let_3 _let_2 _let_1)))))))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m1_pboole C (tptp.k3_finseq_2 A)) (= (= C (tptp.k6_pboole A B)) (forall ((D $$unsorted)) (=> (tptp.m2_finseq_2 D A (tptp.k3_finseq_2 A)) (= (tptp.k1_funct_1 C D) (tptp.k4_card_3 (tptp.k5_relat_1 D B)))))))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k3_finseq_2 (tptp.k1_tarski A)))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B tptp.k5_numbers _let_1) (tptp.m2_relset_1 B tptp.k5_numbers _let_1)) (= (= B (tptp.k9_pboole A)) (forall ((C $$unsorted)) (=> (tptp.m2_subset_1 C tptp.k1_numbers tptp.k5_numbers) (= (tptp.k8_funct_2 tptp.k5_numbers (tptp.k3_finseq_2 (tptp.k1_tarski A)) B C) (tptp.k2_finseq_2 C A)))))))) (forall ((A $$unsorted)) (=> (tptp.m2_subset_1 A tptp.k1_numbers tptp.k5_numbers) (forall ((B $$unsorted) (C $$unsorted)) (= (tptp.k5_relat_1 (tptp.k2_finseq_2 A B) (tptp.k2_funcop_1 (tptp.k1_tarski B) C)) (tptp.k2_finseq_2 A C))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (tptp.m2_subset_1 B tptp.k1_numbers tptp.k5_numbers) (forall ((C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k1_tarski C))) (=> (tptp.m1_pboole D _let_1) (=> (= D (tptp.k2_funcop_1 _let_1 A)) (= (tptp.k1_funct_1 (tptp.k7_pboole tptp.k5_numbers (tptp.k3_finseq_2 _let_1) (tptp.k9_pboole C) (tptp.k6_pboole _let_1 D)) B) (tptp.k1_funct_2 (tptp.k2_finseq_1 B) A)))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m1_pboole C A) (forall ((D $$unsorted)) (=> (tptp.m1_pboole D A) (= (= D (tptp.k11_pboole A B C)) (forall ((E $$unsorted)) (=> (tptp.r2_hidden E A) (= (tptp.k1_funct_1 D E) (tptp.k2_zfmisc_1 (tptp.k1_funct_1 B E) (tptp.k1_funct_1 C E)))))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m1_pboole C A) (forall ((D $$unsorted)) (=> (tptp.m1_pboole D A) (= (= D (tptp.k12_pboole A B C)) (forall ((E $$unsorted)) (=> (tptp.r2_hidden E A) (= (tptp.k1_funct_1 D E) (tptp.k1_funct_2 (tptp.k1_funct_1 B E) (tptp.k1_funct_1 C E)))))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m1_pboole C A) (= (tptp.m4_pboole C A B) (tptp.r2_pboole A C B)))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_funcop_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (tptp.v1_funcop_1 B)) (forall ((C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C) (tptp.v1_funcop_1 C)) (= (= C (tptp.k13_pboole A B)) (and (= (tptp.k1_relat_1 C) (tptp.k3_xboole_0 (tptp.k1_relat_1 A) (tptp.k1_relat_1 B))) (forall ((D $$unsorted)) (=> (tptp.r2_hidden D (tptp.k1_relat_1 C)) (= (tptp.k1_funct_1 C D) (tptp.k5_relat_1 (tptp.k1_funct_1 A D) (tptp.k1_funct_1 B D))))))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (and (tptp.v1_funcop_1 C) (tptp.m1_pboole C A)) (forall ((D $$unsorted)) (=> (tptp.m1_pboole D A) (= (= D (tptp.k14_pboole A B C)) (forall ((E $$unsorted)) (=> (tptp.r2_hidden E A) (= (tptp.k1_funct_1 D E) (tptp.k9_relat_1 (tptp.k1_funct_1 C E) (tptp.k1_funct_1 B E)))))))))))) (=> (forall ((A $$unsorted)) (not (and (tptp.r2_hidden A tptp.f1_s1_pboole) (= (tptp.f2_s1_pboole A) tptp.k1_xboole_0)))) (exists ((A $$unsorted)) (and (tptp.m1_pboole A tptp.f1_s1_pboole) (forall ((B $$unsorted)) (=> (tptp.r2_hidden B tptp.f1_s1_pboole) (tptp.r2_hidden (tptp.k1_funct_1 A B) (tptp.f2_s1_pboole B))))))) (exists ((A $$unsorted)) (and (tptp.m1_pboole A tptp.f1_s2_pboole) (forall ((B $$unsorted)) (=> (tptp.r2_hidden B tptp.f1_s2_pboole) (forall ((C $$unsorted)) (= (tptp.r2_hidden C (tptp.k1_funct_1 A B)) (and (tptp.r2_hidden C (tptp.k1_funct_1 tptp.f2_s2_pboole B)) (tptp.p1_s2_pboole B C)))))))) (=> (forall ((A $$unsorted)) (not (and (tptp.r2_hidden A tptp.f1_s3_pboole) (forall ((B $$unsorted)) (not (tptp.p1_s3_pboole A B)))))) (exists ((A $$unsorted)) (and (tptp.m1_pboole A tptp.f1_s3_pboole) (forall ((B $$unsorted)) (=> (tptp.r2_hidden B tptp.f1_s3_pboole) (tptp.p1_s3_pboole B (tptp.k1_funct_1 A B))))))) (exists ((A $$unsorted)) (and (tptp.m1_pboole A tptp.f1_s4_pboole) (forall ((B $$unsorted)) (=> (tptp.r2_hidden B tptp.f1_s4_pboole) (= (tptp.k1_funct_1 A B) (tptp.f2_s4_pboole B)))))) (exists ((A $$unsorted)) (and (tptp.m1_pboole A tptp.f1_s5_pboole) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.f1_s5_pboole) (= (tptp.k1_funct_1 A B) (tptp.f2_s5_pboole B)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)))) (forall ((A $$unsorted)) (exists ((B $$unsorted)) (tptp.m1_pboole B A))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m2_pboole C A B) (tptp.m1_pboole C A))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (exists ((C $$unsorted)) (tptp.m2_pboole C A B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.m1_pboole B A) (tptp.m1_pboole C A)) (forall ((D $$unsorted)) (=> (tptp.m3_pboole D A B C) (tptp.m1_pboole D A))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.m1_pboole B A) (tptp.m1_pboole C A)) (exists ((D $$unsorted)) (tptp.m3_pboole D A B C)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m4_pboole C A B) (tptp.m1_pboole C A))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (exists ((C $$unsorted)) (tptp.m4_pboole C A B)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (= (tptp.v1_pboole B A) (tptp.v3_relat_1 B)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (= (tptp.v2_pboole B A) (tptp.v2_relat_1 B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.m1_pboole B A) (tptp.m1_pboole C A)) (tptp.r2_pboole A B B))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.m1_pboole B A) (tptp.m1_pboole C A)) (=> (tptp.r3_pboole A B C) (not (tptp.r3_pboole A C B))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.m1_pboole B A) (tptp.m1_pboole C A)) (= (tptp.r3_pboole A B C) (tptp.r1_pboole A B C)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.m1_pboole B A) (tptp.m1_pboole C A)) (=> (tptp.r4_pboole A B C) (tptp.r4_pboole A C B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.m1_pboole B A) (tptp.m1_pboole C A)) (=> (tptp.r5_pboole A B C) (tptp.r5_pboole A C B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.m1_pboole B A) (tptp.m1_pboole C A)) (=> (tptp.r6_pboole A B C) (tptp.r6_pboole A C B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.m1_pboole B A) (tptp.m1_pboole C A)) (tptp.r6_pboole A B B))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.m1_pboole B A) (tptp.m1_pboole C A)) (= (tptp.r6_pboole A B C) (= B C)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.m1_pboole B A) (tptp.m1_pboole C A)) (tptp.r7_pboole A B B))) (forall ((A $$unsorted)) (tptp.m1_pboole (tptp.k1_pboole A) A)) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.m1_pboole B A) (tptp.m1_pboole C A)) (tptp.m1_pboole (tptp.k2_pboole A B C) A))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.m1_pboole B A) (tptp.m1_pboole C A)) (= (tptp.k2_pboole A B C) (tptp.k2_pboole A C B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.m1_pboole B A) (tptp.m1_pboole C A)) (= (tptp.k2_pboole A B B) B))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.m1_pboole B A) (tptp.m1_pboole C A)) (tptp.m1_pboole (tptp.k3_pboole A B C) A))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.m1_pboole B A) (tptp.m1_pboole C A)) (= (tptp.k3_pboole A B C) (tptp.k3_pboole A C B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.m1_pboole B A) (tptp.m1_pboole C A)) (= (tptp.k3_pboole A B B) B))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.m1_pboole B A) (tptp.m1_pboole C A)) (tptp.m1_pboole (tptp.k4_pboole A B C) A))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.m1_pboole B A) (tptp.m1_pboole C A)) (tptp.m1_pboole (tptp.k5_pboole A B C) A))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.m1_pboole B A) (tptp.m1_pboole C A)) (= (tptp.k5_pboole A B C) (tptp.k5_pboole A C B)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (tptp.m1_pboole (tptp.k6_pboole A B) (tptp.k3_finseq_2 A)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C A B) (tptp.m1_relset_1 C A B) (tptp.m1_pboole D B)) (tptp.m1_pboole (tptp.k7_pboole A B C D) A))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C A B) (tptp.m1_relset_1 C A B) (tptp.m1_pboole D B)) (= (tptp.k7_pboole A B C D) (tptp.k5_relat_1 C D)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k8_pboole A B C D))) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C A B) (tptp.m1_relset_1 C A B) (tptp.v2_relat_1 D) (tptp.m1_pboole D B)) (and (tptp.v2_relat_1 _let_1) (tptp.m1_pboole _let_1 A))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C A B) (tptp.m1_relset_1 C A B) (tptp.v2_relat_1 D) (tptp.m1_pboole D B)) (= (tptp.k8_pboole A B C D) (tptp.k5_relat_1 C D)))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k3_finseq_2 (tptp.k1_tarski A)))) (let ((_let_2 (tptp.k9_pboole A))) (and (tptp.v1_funct_1 _let_2) (tptp.v1_funct_2 _let_2 tptp.k5_numbers _let_1) (tptp.m2_relset_1 _let_2 tptp.k5_numbers _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k1_tarski B))) (let ((_let_2 (tptp.k10_pboole A B))) (and (tptp.v1_funct_1 _let_2) (tptp.v1_funct_2 _let_2 A _let_1) (tptp.m2_relset_1 _let_2 A _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.k10_pboole A B) (tptp.k2_funcop_1 A B))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.m1_pboole B A) (tptp.m1_pboole C A)) (tptp.m1_pboole (tptp.k11_pboole A B C) A))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.m1_pboole B A) (tptp.m1_pboole C A)) (tptp.m1_pboole (tptp.k12_pboole A B C) A))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k13_pboole A B))) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_funcop_1 A) (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (tptp.v1_funcop_1 B)) (and (tptp.v1_relat_1 _let_1) (tptp.v1_funct_1 _let_1) (tptp.v1_funcop_1 _let_1))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.m1_pboole B A) (tptp.v1_funcop_1 C) (tptp.m1_pboole C A)) (tptp.m1_pboole (tptp.k14_pboole A B C) A))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.v1_relat_1 A) (tptp.v1_relat_1 (tptp.k1_realset1 A B)))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k1_realset1 A B))) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (and (tptp.v1_relat_1 _let_1) (tptp.v1_funct_1 _let_1))))) (exists ((A $$unsorted)) (and (not (tptp.v1_xboole_0 A)) (tptp.v1_realset1 A))) (exists ((A $$unsorted)) (and (not (tptp.v1_xboole_0 A)) (not (tptp.v1_realset1 A)))) (forall ((A $$unsorted)) (=> (not (tptp.v1_realset1 A)) (not (tptp.v1_xboole_0 A)))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k1_tarski A))) (and (not (tptp.v1_xboole_0 _let_1)) (tptp.v1_finset_1 _let_1) (tptp.v1_realset1 _let_1)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v1_realset1 A)) (tptp.m4_realset1 B A)) (not (tptp.v1_xboole_0 (tptp.k4_xboole_0 A B))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_realset1 A)) (exists ((B $$unsorted)) (and (tptp.m4_realset1 B A) (not (tptp.v1_xboole_0 B)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_1 A) (tptp.m2_relset_1 C _let_1 A)) (=> (tptp.r2_hidden B _let_1) (tptp.r2_hidden (tptp.k1_funct_1 C B) A))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_1 A) (tptp.m2_relset_1 B _let_1 A)) (exists ((C $$unsorted)) (and (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 A)) (forall ((D $$unsorted)) (=> (tptp.r2_hidden D (tptp.k2_zfmisc_1 C C)) (tptp.r2_hidden (tptp.k1_funct_1 B D) C)))))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_1 A) (tptp.m2_relset_1 B _let_1 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 A)) (= (tptp.r1_realset1 A B C) (forall ((D $$unsorted)) (=> (tptp.r2_hidden D (tptp.k2_zfmisc_1 C C)) (tptp.r2_hidden (tptp.k1_funct_1 B D) C))))))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_1 A) (tptp.m2_relset_1 B _let_1 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 A)) (= (tptp.m1_realset1 C A B) (forall ((D $$unsorted)) (=> (tptp.r2_hidden D (tptp.k2_zfmisc_1 C C)) (tptp.r2_hidden (tptp.k1_funct_1 B D) C))))))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (forall ((B $$unsorted)) (= (tptp.k1_realset1 A B) (tptp.k7_relat_1 A (tptp.k2_zfmisc_1 B B)))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_1 A) (tptp.m2_relset_1 B _let_1 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 C C))) (let ((_let_2 (tptp.k1_realset1 B C))) (=> (tptp.m1_realset1 C A B) (and (tptp.v1_funct_1 _let_2) (tptp.v1_funct_2 _let_2 _let_1 C) (tptp.m2_relset_1 _let_2 _let_1 C))))))))) (forall ((A $$unsorted)) (= (tptp.v1_realset1 A) (not (and (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (not (= A (tptp.k1_tarski B)))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (= (not (tptp.v1_realset1 A)) (forall ((B $$unsorted)) (not (tptp.v1_xboole_0 (tptp.k4_xboole_0 A (tptp.k1_tarski B)))))))) (exists ((A $$unsorted)) (and (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B A) (not (tptp.v1_xboole_0 (tptp.k4_xboole_0 A (tptp.k1_tarski B)))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (not (and (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B A) (not (tptp.v1_xboole_0 (tptp.k4_xboole_0 A (tptp.k1_tarski B)))))) (tptp.v1_realset1 A))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (=> (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B A) (not (tptp.v1_xboole_0 (tptp.k4_xboole_0 A (tptp.k1_tarski B)))))) (not (tptp.v1_realset1 A))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_realset1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_1 A) (tptp.m2_relset_1 B _let_1 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k1_tarski C))) (let ((_let_2 (tptp.k4_xboole_0 A _let_1))) (let ((_let_3 (tptp.k2_zfmisc_1 _let_2 _let_2))) (let ((_let_4 (tptp.k4_xboole_0 (tptp.k1_realset1 B A) _let_1))) (=> (tptp.m1_subset_1 C A) (= (tptp.r2_realset1 A B C) (and (tptp.m1_realset1 _let_2 A B) (tptp.v1_funct_1 _let_4) (tptp.v1_funct_2 _let_4 _let_3 _let_2) (tptp.m2_relset_1 _let_4 _let_3 _let_2)))))))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (exists ((C $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A A))) (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_1 A) (tptp.m2_relset_1 C _let_1 A) (forall ((D $$unsorted)) (=> (tptp.r2_hidden D (tptp.k2_zfmisc_1 B B)) (tptp.r2_hidden (tptp.k1_funct_1 C D) B)))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_1 A) (tptp.m2_relset_1 C _let_1 A)) (= (tptp.m2_realset1 C A B) (forall ((D $$unsorted)) (=> (tptp.r2_hidden D (tptp.k2_zfmisc_1 B B)) (tptp.r2_hidden (tptp.k1_funct_1 C D) B))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 B B))) (let ((_let_2 (tptp.k1_realset1 C B))) (=> (tptp.m2_realset1 C A B) (and (tptp.v1_funct_1 _let_2) (tptp.v1_funct_2 _let_2 _let_1 B) (tptp.m2_relset_1 _let_2 _let_1 B)))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (forall ((C $$unsorted)) (=> (tptp.m2_realset1 C A B) (= (tptp.k3_realset1 A B C) (tptp.k1_realset1 C B)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B A) (exists ((C $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A A))) (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_1 A) (tptp.m2_relset_1 C _let_1 A) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k4_xboole_0 A (tptp.k1_tarski B)))) (=> (tptp.r2_hidden D (tptp.k2_zfmisc_1 _let_1 _let_1)) (tptp.r2_hidden (tptp.k1_funct_1 C D) _let_1))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B A) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_1 A) (tptp.m2_relset_1 C _let_1 A)) (= (tptp.m3_realset1 C A B) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k4_xboole_0 A (tptp.k1_tarski B)))) (=> (tptp.r2_hidden D (tptp.k2_zfmisc_1 _let_1 _let_1)) (tptp.r2_hidden (tptp.k1_funct_1 C D) _let_1)))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_realset1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B A) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k4_xboole_0 A (tptp.k1_tarski B)))) (let ((_let_2 (tptp.k2_zfmisc_1 _let_1 _let_1))) (let ((_let_3 (tptp.k1_realset1 C _let_1))) (=> (tptp.m3_realset1 C A B) (and (tptp.v1_funct_1 _let_3) (tptp.v1_funct_2 _let_3 _let_2 _let_1) (tptp.m2_relset_1 _let_3 _let_2 _let_1))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_realset1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B A) (forall ((C $$unsorted)) (=> (tptp.m3_realset1 C A B) (= (tptp.k4_realset1 A B C) (tptp.k1_realset1 C (tptp.k4_xboole_0 A (tptp.k1_tarski B)))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_realset1 A)) (forall ((B $$unsorted)) (= (tptp.m4_realset1 B A) (exists ((C $$unsorted)) (and (tptp.m1_subset_1 C A) (= B (tptp.k1_tarski C)))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_realset1 A)) (forall ((B $$unsorted)) (=> (tptp.m4_realset1 B A) (not (tptp.v1_xboole_0 (tptp.k4_xboole_0 A B))))))) (forall ((A $$unsorted)) (=> (tptp.v1_finset_1 A) (= (tptp.v1_realset1 A) (not (tptp.r1_xreal_0 tptp.np__2 (tptp.k4_card_1 A)))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.v1_realset1 A))) (and (not (and (not _let_1) (forall ((B $$unsorted) (C $$unsorted)) (not (and (tptp.r2_hidden B A) (tptp.r2_hidden C A) (not (= B C))))))) (not (and (exists ((B $$unsorted) (C $$unsorted)) (and (tptp.r2_hidden B A) (tptp.r2_hidden C A) (not (= B C)))) _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.v1_realset1 B))) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (and (not (and (not _let_1) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C A) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D A) (not (and (tptp.r2_hidden C B) (tptp.r2_hidden D B) (not (= C D)))))))))) (not (and (exists ((C $$unsorted)) (and (tptp.m1_subset_1 C A) (exists ((D $$unsorted)) (and (tptp.m1_subset_1 D A) (tptp.r2_hidden C B) (tptp.r2_hidden D B) (not (= C D)))))) _let_1)))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_1 A) (tptp.m1_relset_1 B _let_1 A)) (forall ((C $$unsorted)) (=> (tptp.m1_realset1 C A B) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 A))))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_1 A) (tptp.m1_relset_1 B _let_1 A)) (exists ((C $$unsorted)) (tptp.m1_realset1 C A B))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A A))) (=> (tptp.m2_realset1 C A B) (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_1 A) (tptp.m2_relset_1 C _let_1 A))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (exists ((C $$unsorted)) (tptp.m2_realset1 C A B)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B A) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A A))) (=> (tptp.m3_realset1 C A B) (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_1 A) (tptp.m2_relset_1 C _let_1 A))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B A) (exists ((C $$unsorted)) (tptp.m3_realset1 C A B)))) true (forall ((A $$unsorted)) (=> (not (tptp.v1_realset1 A)) (exists ((B $$unsorted)) (tptp.m4_realset1 B A)))) true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 C C))) (let ((_let_2 (tptp.k2_realset1 A B C))) (let ((_let_3 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_3 A) (tptp.m1_relset_1 B _let_3 A) (tptp.m1_realset1 C A B)) (and (tptp.v1_funct_1 _let_2) (tptp.v1_funct_2 _let_2 _let_1 C) (tptp.m2_relset_1 _let_2 _let_1 C))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_1 A) (tptp.m1_relset_1 B _let_1 A) (tptp.m1_realset1 C A B)) (= (tptp.k2_realset1 A B C) (tptp.k1_realset1 B C))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 B B))) (let ((_let_2 (tptp.k3_realset1 A B C))) (=> (and (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (tptp.m2_realset1 C A B)) (and (tptp.v1_funct_1 _let_2) (tptp.v1_funct_2 _let_2 _let_1 B) (tptp.m2_relset_1 _let_2 _let_1 B)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k4_xboole_0 A (tptp.k1_tarski B)))) (let ((_let_2 (tptp.k2_zfmisc_1 _let_1 _let_1))) (let ((_let_3 (tptp.k4_realset1 A B C))) (=> (and (not (tptp.v1_realset1 A)) (tptp.m1_subset_1 B A) (tptp.m3_realset1 C A B)) (and (tptp.v1_funct_1 _let_3) (tptp.v1_funct_2 _let_3 _let_2 _let_1) (tptp.m2_relset_1 _let_3 _let_2 _let_1))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v1_realset1 A)) (tptp.m1_subset_1 B A)) (tptp.m4_realset1 (tptp.k5_realset1 A B) A))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v1_realset1 A)) (tptp.m1_subset_1 B A)) (= (tptp.k5_realset1 A B) (tptp.k1_tarski B)))) (forall ((A $$unsorted) (B $$unsorted)) (tptp.v1_relat_1 (tptp.k2_zfmisc_1 A B))) true true true true true true true true true true true (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A B))) (not (and (not (= A tptp.k1_xboole_0)) (not (= B tptp.k1_xboole_0)) (not (and (= (tptp.k1_relat_1 _let_1) A) (= (tptp.k2_relat_1 _let_1) B))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k3_xboole_0 C (tptp.k2_zfmisc_1 A B)))) (=> (tptp.v1_relat_1 C) (and (tptp.r1_tarski (tptp.k1_relat_1 _let_1) A) (tptp.r1_tarski (tptp.k2_relat_1 _let_1) B))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A B))) (let ((_let_2 (tptp.k3_xboole_0 (tptp.k4_relat_1 C) _let_1))) (let ((_let_3 (tptp.k3_xboole_0 C _let_1))) (=> (tptp.v1_relat_1 C) (=> (tptp.r1_xboole_0 A B) (and (tptp.r1_xboole_0 (tptp.k1_relat_1 _let_3) (tptp.k2_relat_1 _let_3)) (tptp.r1_xboole_0 (tptp.k1_relat_1 _let_2) (tptp.k2_relat_1 _let_2))))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.v1_relat_1 C) (=> (tptp.r1_tarski C (tptp.k2_zfmisc_1 A B)) (and (tptp.r1_tarski (tptp.k1_relat_1 C) A) (tptp.r1_tarski (tptp.k2_relat_1 C) B))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.v1_relat_1 C) (=> (tptp.r1_tarski C (tptp.k2_zfmisc_1 A B)) (tptp.r1_tarski (tptp.k4_relat_1 C) (tptp.k2_zfmisc_1 B A))))) true (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.k4_relat_1 (tptp.k2_zfmisc_1 A B)) (tptp.k2_zfmisc_1 B A))) true (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (forall ((B $$unsorted)) (=> (tptp.v1_relat_1 B) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k5_relat_1 A C))) (=> (tptp.v1_relat_1 C) (and (= (tptp.k5_relat_1 (tptp.k2_xboole_0 A B) C) (tptp.k2_xboole_0 _let_1 (tptp.k5_relat_1 B C))) (= (tptp.k5_relat_1 A (tptp.k2_xboole_0 B C)) (tptp.k2_xboole_0 (tptp.k5_relat_1 A B) _let_1)))))))))) true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (let ((_let_1 (tptp.r2_hidden C B))) (let ((_let_2 (tptp.r2_hidden D B))) (let ((_let_3 (not _let_2))) (let ((_let_4 (tptp.r2_hidden C A))) (let ((_let_5 (not _let_4))) (let ((_let_6 (tptp.r2_hidden D A))) (let ((_let_7 (tptp.r2_hidden (tptp.k4_tarski C D) E))) (let ((_let_8 (tptp.r1_tarski E (tptp.k2_xboole_0 (tptp.k2_zfmisc_1 A B) (tptp.k2_zfmisc_1 B A))))) (let ((_let_9 (tptp.r1_xboole_0 A B))) (let ((_let_10 (not _let_1))) (let ((_let_11 (not _let_6))) (=> (tptp.v1_relat_1 E) (and (=> (and _let_9 _let_8 _let_7 _let_4) (and _let_10 _let_11 _let_2)) (=> (and _let_9 _let_8 _let_7 _let_2) (and _let_11 _let_10 _let_4)) (=> (and _let_9 _let_8 _let_7 _let_1) (and _let_5 _let_3 _let_6)) (=> (and _let_9 _let_8 _let_7 _let_6) (and _let_5 _let_3 _let_1)))))))))))))))) true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.r1_tarski D (tptp.k2_zfmisc_1 A B)))) (=> (tptp.v1_relat_1 D) (and (=> (and _let_1 (tptp.r1_tarski C A)) (= (tptp.k7_relat_1 D C) (tptp.k3_xboole_0 D (tptp.k2_zfmisc_1 C B)))) (=> (and _let_1 (tptp.r1_tarski C B)) (= (tptp.k8_relat_1 C D) (tptp.k3_xboole_0 D (tptp.k2_zfmisc_1 A C)))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (=> (tptp.v1_relat_1 E) (=> (and (tptp.r1_tarski E (tptp.k2_zfmisc_1 A B)) (= A (tptp.k2_xboole_0 C D))) (= E (tptp.k2_xboole_0 (tptp.k7_relat_1 E C) (tptp.k7_relat_1 E D)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A B))) (=> (tptp.v1_relat_1 C) (=> (and (tptp.r1_xboole_0 A B) (tptp.r1_tarski C (tptp.k2_xboole_0 _let_1 (tptp.k2_zfmisc_1 B A)))) (tptp.r1_tarski (tptp.k7_relat_1 C A) _let_1))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (forall ((B $$unsorted)) (=> (tptp.v1_relat_1 B) (=> (tptp.r1_tarski A B) (tptp.r1_tarski (tptp.k4_relat_1 A) (tptp.k4_relat_1 B))))))) true (forall ((A $$unsorted)) (let ((_let_1 (tptp.k6_relat_1 A))) (= (tptp.k5_relat_1 _let_1 _let_1) _let_1))) (forall ((A $$unsorted)) (= (tptp.k6_relat_1 (tptp.k1_tarski A)) (tptp.k1_tarski (tptp.k4_tarski A A)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k6_relat_1 C))) (= (tptp.r2_hidden (tptp.k4_tarski A B) _let_1) (tptp.r2_hidden (tptp.k4_tarski B A) _let_1)))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k6_relat_1 B))) (let ((_let_2 (tptp.k6_relat_1 A))) (and (= (tptp.k6_relat_1 (tptp.k2_xboole_0 A B)) (tptp.k2_xboole_0 _let_2 _let_1)) (= (tptp.k6_relat_1 (tptp.k3_xboole_0 A B)) (tptp.k3_xboole_0 _let_2 _let_1)) (= (tptp.k6_relat_1 (tptp.k4_xboole_0 A B)) (tptp.k4_xboole_0 _let_2 _let_1)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.r1_tarski A B) (tptp.r1_tarski (tptp.k6_relat_1 A) (tptp.k6_relat_1 B)))) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.k4_xboole_0 (tptp.k6_relat_1 (tptp.k4_xboole_0 A B)) (tptp.k6_relat_1 A)) tptp.k1_xboole_0)) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k6_relat_1 (tptp.k1_relat_1 A)))) (=> (tptp.v1_relat_1 A) (=> (tptp.r1_tarski A _let_1) (= A _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k4_relat_1 B))) (let ((_let_2 (tptp.k6_relat_1 A))) (=> (tptp.v1_relat_1 B) (=> (tptp.r1_tarski _let_2 (tptp.k2_xboole_0 B _let_1)) (and (tptp.r1_tarski _let_2 B) (tptp.r1_tarski _let_2 _let_1))))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k6_relat_1 A))) (=> (tptp.v1_relat_1 B) (=> (tptp.r1_tarski _let_1 B) (tptp.r1_tarski _let_1 (tptp.k4_relat_1 B)))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k4_xboole_0 B (tptp.k6_relat_1 A)))) (=> (tptp.v1_relat_1 B) (=> (tptp.r1_tarski B (tptp.k2_zfmisc_1 A A)) (and (= (tptp.k4_xboole_0 B (tptp.k6_relat_1 (tptp.k1_relat_1 B))) _let_1) (= (tptp.k4_xboole_0 B (tptp.k6_relat_1 (tptp.k2_relat_1 B))) _let_1)))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k6_relat_1 A))) (let ((_let_2 (tptp.k4_xboole_0 B _let_1))) (=> (tptp.v1_relat_1 B) (and (=> (= (tptp.k5_relat_1 _let_1 _let_2) tptp.k1_xboole_0) (= (tptp.k1_relat_1 _let_2) (tptp.k4_xboole_0 (tptp.k1_relat_1 B) (tptp.k1_relat_1 _let_1)))) (=> (= (tptp.k5_relat_1 _let_2 _let_1) tptp.k1_xboole_0) (= (tptp.k2_relat_1 _let_2) (tptp.k4_xboole_0 (tptp.k2_relat_1 B) (tptp.k2_relat_1 _let_1))))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k6_relat_1 (tptp.k1_relat_1 A)))) (let ((_let_2 (tptp.r1_tarski A (tptp.k5_relat_1 A A)))) (let ((_let_3 (tptp.k6_relat_1 (tptp.k2_relat_1 A)))) (=> (tptp.v1_relat_1 A) (and (=> (and _let_2 (= (tptp.k5_relat_1 A (tptp.k4_xboole_0 A _let_3)) tptp.k1_xboole_0)) (tptp.r1_tarski _let_3 A)) (=> (and _let_2 (= (tptp.k5_relat_1 (tptp.k4_xboole_0 A _let_1) A) tptp.k1_xboole_0)) (tptp.r1_tarski _let_1 A)))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k6_relat_1 (tptp.k1_relat_1 A)))) (let ((_let_2 (tptp.r1_tarski A (tptp.k5_relat_1 A A)))) (let ((_let_3 (tptp.k6_relat_1 (tptp.k2_relat_1 A)))) (=> (tptp.v1_relat_1 A) (and (=> (and _let_2 (= (tptp.k5_relat_1 A (tptp.k4_xboole_0 A _let_3)) tptp.k1_xboole_0)) (= (tptp.k3_xboole_0 A _let_3) _let_3)) (=> (and _let_2 (= (tptp.k5_relat_1 (tptp.k4_xboole_0 A _let_1) A) tptp.k1_xboole_0)) (= (tptp.k3_xboole_0 A _let_1) _let_1)))))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k1_relat_1 B))) (let ((_let_2 (tptp.k4_xboole_0 B (tptp.k6_relat_1 A)))) (let ((_let_3 (tptp.k2_relat_1 B))) (=> (tptp.v1_relat_1 B) (and (=> (and (= (tptp.k5_relat_1 B _let_2) tptp.k1_xboole_0) (tptp.r1_tarski _let_3 A)) (= (tptp.k5_relat_1 B (tptp.k4_xboole_0 B (tptp.k6_relat_1 _let_3))) tptp.k1_xboole_0)) (=> (and (= (tptp.k5_relat_1 _let_2 B) tptp.k1_xboole_0) (tptp.r1_tarski _let_1 A)) (= (tptp.k5_relat_1 (tptp.k4_xboole_0 B (tptp.k6_relat_1 _let_1)) B) tptp.k1_xboole_0)))))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (= (tptp.k1_sysrel A) (tptp.k3_xboole_0 A (tptp.k6_relat_1 (tptp.k1_relat_1 A)))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k1_sysrel A))) (=> (tptp.v1_relat_1 A) (and (tptp.r1_tarski _let_1 A) (tptp.r1_tarski _let_1 (tptp.k6_relat_1 (tptp.k1_relat_1 A))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k1_sysrel C))) (=> (tptp.v1_relat_1 C) (=> (tptp.r2_hidden (tptp.k4_tarski A B) _let_1) (and (tptp.r2_hidden A (tptp.k1_relat_1 _let_1)) (= A B)))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k1_sysrel A))) (=> (tptp.v1_relat_1 A) (= (tptp.k1_relat_1 _let_1) (tptp.k2_relat_1 _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k1_sysrel B))) (let ((_let_2 (tptp.r2_hidden A (tptp.k1_relat_1 _let_1)))) (let ((_let_3 (tptp.r2_hidden (tptp.k4_tarski A A) B))) (let ((_let_4 (and (tptp.r2_hidden A (tptp.k2_relat_1 B)) _let_3))) (let ((_let_5 (tptp.r2_hidden A (tptp.k2_relat_1 _let_1)))) (let ((_let_6 (and (tptp.r2_hidden A (tptp.k1_relat_1 B)) _let_3))) (=> (tptp.v1_relat_1 B) (and (=> _let_2 _let_6) (=> _let_6 _let_2) (=> _let_5 _let_6) (=> _let_6 _let_5) (=> _let_5 _let_4) (=> _let_4 _let_5) (=> _let_2 _let_4) (=> _let_4 _let_2)))))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k1_sysrel A))) (=> (tptp.v1_relat_1 A) (= _let_1 (tptp.k6_relat_1 (tptp.k1_relat_1 _let_1)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k1_sysrel C))) (let ((_let_2 (tptp.k1_relat_1 _let_1))) (let ((_let_3 (= A B))) (let ((_let_4 (tptp.r2_hidden (tptp.k4_tarski A B) C))) (let ((_let_5 (tptp.k4_xboole_0 C _let_1))) (let ((_let_6 (= (tptp.k5_relat_1 C C) C))) (=> (tptp.v1_relat_1 C) (and (=> (and _let_6 (= (tptp.k5_relat_1 C _let_5) tptp.k1_xboole_0) _let_4) (or _let_3 (and (tptp.r2_hidden A (tptp.k4_xboole_0 (tptp.k1_relat_1 C) _let_2)) (tptp.r2_hidden B _let_2)))) (=> (and _let_6 (= (tptp.k5_relat_1 _let_5 C) tptp.k1_xboole_0) _let_4) (or _let_3 (and (tptp.r2_hidden B (tptp.k4_xboole_0 (tptp.k2_relat_1 C) _let_2)) (tptp.r2_hidden A _let_2))))))))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k1_relat_1 (tptp.k1_sysrel C)))) (let ((_let_2 (= A B))) (let ((_let_3 (tptp.r2_hidden (tptp.k4_tarski A B) C))) (let ((_let_4 (tptp.k1_relat_1 C))) (let ((_let_5 (tptp.k4_xboole_0 C (tptp.k6_relat_1 _let_4)))) (let ((_let_6 (= (tptp.k5_relat_1 C C) C))) (=> (tptp.v1_relat_1 C) (and (=> (and _let_6 (= (tptp.k5_relat_1 C _let_5) tptp.k1_xboole_0) _let_3) (or _let_2 (and (tptp.r2_hidden A (tptp.k4_xboole_0 _let_4 _let_1)) (tptp.r2_hidden B _let_1)))) (=> (and _let_6 (= (tptp.k5_relat_1 _let_5 C) tptp.k1_xboole_0) _let_3) (or _let_2 (and (tptp.r2_hidden B (tptp.k4_xboole_0 (tptp.k2_relat_1 C) _let_1)) (tptp.r2_hidden A _let_1))))))))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k1_relat_1 A))) (let ((_let_2 (tptp.k1_sysrel A))) (let ((_let_3 (tptp.k2_relat_1 _let_2))) (let ((_let_4 (tptp.k1_relat_1 _let_2))) (let ((_let_5 (tptp.k4_xboole_0 A (tptp.k6_relat_1 _let_1)))) (let ((_let_6 (= (tptp.k5_relat_1 A A) A))) (let ((_let_7 (tptp.k2_relat_1 A))) (=> (tptp.v1_relat_1 A) (and (=> (and _let_6 (= (tptp.k5_relat_1 A _let_5) tptp.k1_xboole_0)) (and (= _let_4 _let_7) (= _let_3 _let_7))) (=> (and _let_6 (= (tptp.k5_relat_1 _let_5 A) tptp.k1_xboole_0)) (and (= _let_4 _let_1) (= _let_3 _let_1))))))))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k2_relat_1 A))) (let ((_let_2 (tptp.k1_sysrel A))) (let ((_let_3 (tptp.k1_relat_1 _let_2))) (let ((_let_4 (tptp.k1_relat_1 A))) (let ((_let_5 (tptp.k2_relat_1 _let_2))) (=> (tptp.v1_relat_1 A) (and (tptp.r1_tarski _let_3 _let_4) (tptp.r1_tarski _let_5 _let_1) (tptp.r1_tarski _let_5 _let_4) (tptp.r1_tarski _let_3 _let_1))))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k6_relat_1 (tptp.k1_relat_1 A)))) (let ((_let_2 (tptp.k1_sysrel A))) (=> (tptp.v1_relat_1 A) (and (tptp.r1_tarski (tptp.k6_relat_1 (tptp.k1_relat_1 _let_2)) _let_1) (tptp.r1_tarski (tptp.k6_relat_1 (tptp.k2_relat_1 _let_2)) _let_1)))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k1_sysrel A))) (=> (tptp.v1_relat_1 A) (and (tptp.r1_tarski (tptp.k6_relat_1 (tptp.k1_relat_1 _let_1)) A) (tptp.r1_tarski (tptp.k6_relat_1 (tptp.k2_relat_1 _let_1)) A))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k6_relat_1 A))) (let ((_let_2 (tptp.k4_xboole_0 B _let_1))) (let ((_let_3 (tptp.r1_tarski _let_1 B))) (=> (tptp.v1_relat_1 B) (and (=> (and _let_3 (= (tptp.k5_relat_1 _let_1 _let_2) tptp.k1_xboole_0)) (= (tptp.k7_relat_1 B A) _let_1)) (=> (and _let_3 (= (tptp.k5_relat_1 _let_2 _let_1) tptp.k1_xboole_0)) (= (tptp.k8_relat_1 A B) _let_1)))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k1_sysrel A))) (let ((_let_2 (tptp.k2_relat_1 _let_1))) (let ((_let_3 (tptp.k6_relat_1 _let_2))) (let ((_let_4 (tptp.k1_relat_1 _let_1))) (let ((_let_5 (tptp.k6_relat_1 _let_4))) (=> (tptp.v1_relat_1 A) (and (=> (= (tptp.k5_relat_1 _let_5 (tptp.k4_xboole_0 A _let_5)) tptp.k1_xboole_0) (and (= (tptp.k7_relat_1 A _let_4) _let_5) (= (tptp.k7_relat_1 A _let_2) _let_5))) (=> (= (tptp.k5_relat_1 (tptp.k4_xboole_0 A _let_3) _let_3) tptp.k1_xboole_0) (and (= (tptp.k8_relat_1 _let_4 A) _let_5) (= (tptp.k8_relat_1 _let_2 A) _let_3))))))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k6_relat_1 (tptp.k1_relat_1 (tptp.k1_sysrel A))))) (let ((_let_2 (tptp.k4_xboole_0 A _let_1))) (let ((_let_3 (tptp.k4_xboole_0 A (tptp.k6_relat_1 (tptp.k1_relat_1 A))))) (=> (tptp.v1_relat_1 A) (and (=> (= (tptp.k5_relat_1 A _let_3) tptp.k1_xboole_0) (= (tptp.k5_relat_1 _let_1 _let_2) tptp.k1_xboole_0)) (=> (= (tptp.k5_relat_1 _let_3 A) tptp.k1_xboole_0) (= (tptp.k5_relat_1 _let_2 _let_1) tptp.k1_xboole_0)))))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k4_xboole_0 B (tptp.k6_relat_1 (tptp.k1_relat_1 B))))) (=> (tptp.v1_relat_1 B) (and (=> (and (= (tptp.k5_relat_1 A B) A) (= (tptp.k5_relat_1 B _let_1) tptp.k1_xboole_0)) (= (tptp.k5_relat_1 A _let_1) tptp.k1_xboole_0)) (=> (and (= (tptp.k5_relat_1 B A) A) (= (tptp.k5_relat_1 _let_1 B) tptp.k1_xboole_0)) (= (tptp.k5_relat_1 _let_1 A) tptp.k1_xboole_0)))))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (forall ((B $$unsorted)) (let ((_let_1 (tptp.r1_tarski (tptp.k1_sysrel A) (tptp.k1_sysrel B)))) (let ((_let_2 (tptp.k4_xboole_0 B (tptp.k6_relat_1 (tptp.k1_relat_1 B))))) (=> (tptp.v1_relat_1 B) (and (=> (and (= (tptp.k5_relat_1 A B) A) (= (tptp.k5_relat_1 B _let_2) tptp.k1_xboole_0)) _let_1) (=> (and (= (tptp.k5_relat_1 B A) A) (= (tptp.k5_relat_1 _let_2 B) tptp.k1_xboole_0)) _let_1)))))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (forall ((B $$unsorted)) (let ((_let_1 (= (tptp.k1_sysrel A) (tptp.k1_sysrel B)))) (let ((_let_2 (tptp.k4_xboole_0 A (tptp.k6_relat_1 (tptp.k1_relat_1 A))))) (let ((_let_3 (tptp.k5_relat_1 A B))) (let ((_let_4 (tptp.k4_xboole_0 B (tptp.k6_relat_1 (tptp.k1_relat_1 B))))) (let ((_let_5 (tptp.k5_relat_1 B A))) (=> (tptp.v1_relat_1 B) (and (=> (and (= _let_3 A) (= (tptp.k5_relat_1 B _let_4) tptp.k1_xboole_0) (= _let_5 B) (= (tptp.k5_relat_1 A _let_2) tptp.k1_xboole_0)) _let_1) (=> (and (= _let_5 A) (= (tptp.k5_relat_1 _let_4 B) tptp.k1_xboole_0) (= _let_3 B) (= (tptp.k5_relat_1 _let_2 A) tptp.k1_xboole_0)) _let_1))))))))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (tptp.v1_relat_1 (tptp.k1_sysrel A)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (=> (tptp.v3_relat_1 B) (tptp.v1_pre_circ B A)))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k1_pboole A))) (and (tptp.v1_relat_1 _let_1) (tptp.v3_relat_1 _let_1) (tptp.v1_funct_1 _let_1) (tptp.v1_pre_circ _let_1 A)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (exists ((C $$unsorted)) (and (tptp.m4_pboole C A B) (tptp.v1_relat_1 C) (tptp.v3_relat_1 C) (tptp.v1_funct_1 C) (tptp.v1_pre_circ C A))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_pre_circ B A) (tptp.m1_pboole B A)) (forall ((C $$unsorted)) (=> (tptp.m4_pboole C A B) (tptp.v1_pre_circ C A))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k2_pboole A B C))) (=> (and (tptp.v1_pre_circ B A) (tptp.m1_pboole B A) (tptp.v1_pre_circ C A) (tptp.m1_pboole C A)) (and (tptp.v1_relat_1 _let_1) (tptp.v1_funct_1 _let_1) (tptp.v1_pre_circ _let_1 A))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k3_pboole A B C))) (=> (and (tptp.m1_pboole B A) (tptp.v1_pre_circ C A) (tptp.m1_pboole C A)) (and (tptp.v1_relat_1 _let_1) (tptp.v1_funct_1 _let_1) (tptp.v1_pre_circ _let_1 A))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k3_pboole A C B))) (=> (and (tptp.m1_pboole B A) (tptp.v1_pre_circ C A) (tptp.m1_pboole C A)) (and (tptp.v1_relat_1 _let_1) (tptp.v1_funct_1 _let_1) (tptp.v1_pre_circ _let_1 A))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k4_pboole A C B))) (=> (and (tptp.m1_pboole B A) (tptp.v1_pre_circ C A) (tptp.m1_pboole C A)) (and (tptp.v1_relat_1 _let_1) (tptp.v1_funct_1 _let_1) (tptp.v1_pre_circ _let_1 A))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k14_pboole A C B))) (=> (and (tptp.v1_funcop_1 B) (tptp.m1_pboole B A) (tptp.v1_pre_circ C A) (tptp.m1_pboole C A)) (and (tptp.v1_relat_1 _let_1) (tptp.v1_funct_1 _let_1) (tptp.v1_pre_circ _let_1 A))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k11_pboole A B C))) (=> (and (tptp.v1_pre_circ B A) (tptp.m1_pboole B A) (tptp.v1_pre_circ C A) (tptp.m1_pboole C A)) (and (tptp.v1_relat_1 _let_1) (tptp.v1_funct_1 _let_1) (tptp.v1_pre_circ _let_1 A))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k1_mboolean A B))) (=> (and (tptp.v1_pre_circ B A) (tptp.m1_pboole B A)) (and (tptp.v1_relat_1 _let_1) (tptp.v2_relat_1 _let_1) (tptp.v1_funct_1 _let_1) (tptp.v1_pre_circ _let_1 A))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k12_pboole A B C))) (=> (and (tptp.v1_pre_circ B A) (tptp.m1_pboole B A) (tptp.v1_pre_circ C A) (tptp.m1_pboole C A)) (and (tptp.v1_relat_1 _let_1) (tptp.v1_funct_1 _let_1) (tptp.v1_pre_circ _let_1 A))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k5_pboole A B C))) (=> (and (tptp.v1_pre_circ B A) (tptp.m1_pboole B A) (tptp.v1_pre_circ C A) (tptp.m1_pboole C A)) (and (tptp.v1_relat_1 _let_1) (tptp.v1_funct_1 _let_1) (tptp.v1_pre_circ _let_1 A))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (exists ((C $$unsorted)) (and (tptp.m4_pboole C A (tptp.k1_mboolean A B)) (tptp.v1_relat_1 C) (tptp.v2_relat_1 C) (tptp.v1_funct_1 C))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (exists ((C $$unsorted)) (and (tptp.m4_pboole C A (tptp.k1_mboolean A B)) (tptp.v1_relat_1 C) (tptp.v3_relat_1 C) (tptp.v1_funct_1 C) (tptp.v1_pre_circ C A))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_pre_circ B A) (tptp.m1_pboole B A)) (exists ((C $$unsorted)) (and (tptp.m4_pboole C A (tptp.k1_mboolean A B)) (tptp.v1_relat_1 C) (tptp.v2_relat_1 C) (tptp.v1_funct_1 C) (tptp.v1_pre_circ C A))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (exists ((C $$unsorted)) (and (tptp.m4_pboole C A (tptp.k1_mboolean A B)) (tptp.v1_relat_1 C) (tptp.v2_relat_1 C) (tptp.v1_funct_1 C) (tptp.v1_mssubfam C A B) (tptp.v2_mssubfam C A B) (tptp.v3_mssubfam C A B) (tptp.v4_mssubfam C A B) (tptp.v5_mssubfam C A B) (tptp.v6_mssubfam C A B))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m4_pboole C A (tptp.k1_mboolean A B)) (=> (tptp.v2_mssubfam C A B) (tptp.v1_mssubfam C A B)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m4_pboole C A (tptp.k1_mboolean A B)) (=> (tptp.v4_mssubfam C A B) (tptp.v3_mssubfam C A B)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m4_pboole C A (tptp.k1_mboolean A B)) (=> (tptp.v4_mssubfam C A B) (tptp.v5_mssubfam C A B)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m4_pboole C A (tptp.k1_mboolean A B)) (=> (tptp.v5_mssubfam C A B) (tptp.v2_relat_1 C)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m4_pboole C A (tptp.k1_mboolean A B)) (=> (tptp.v2_mssubfam C A B) (tptp.v6_mssubfam C A B)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m4_pboole C A (tptp.k1_mboolean A B)) (=> (tptp.v6_mssubfam C A B) (tptp.v2_relat_1 C)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 A))) (=> (not (= B tptp.k1_xboole_0)) (tptp.r1_tarski (tptp.k8_setfam_1 A B) (tptp.k5_setfam_1 A B))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 A))) (=> (tptp.r2_hidden B C) (tptp.r1_tarski (tptp.k8_setfam_1 A C) B)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 A))) (=> (tptp.r2_hidden tptp.k1_xboole_0 B) (= (tptp.k8_setfam_1 A B) tptp.k1_xboole_0)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 A))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 A)) (=> (forall ((D $$unsorted)) (=> (tptp.r2_hidden D B) (tptp.r1_tarski C D))) (tptp.r1_tarski C (tptp.k8_setfam_1 A B))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 A))) (=> (forall ((D $$unsorted)) (=> (tptp.r2_hidden D C) (tptp.r1_tarski B D))) (or (= C tptp.k1_xboole_0) (tptp.r1_tarski B (tptp.k8_setfam_1 A C)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 A))) (=> (and (tptp.r2_hidden B D) (tptp.r1_tarski B C)) (tptp.r1_tarski (tptp.k8_setfam_1 A D) C)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 A))) (=> (and (tptp.r2_hidden B D) (tptp.r1_xboole_0 B C)) (tptp.r1_xboole_0 (tptp.k8_setfam_1 A D) C)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 A))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 A))) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 A))) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 _let_1)) (=> (= B (tptp.k4_subset_1 _let_1 C D)) (= (tptp.k8_setfam_1 A B) (tptp.k5_subset_1 A (tptp.k8_setfam_1 A C) (tptp.k8_setfam_1 A D))))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 A))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 A)) (=> (= B (tptp.k1_tarski C)) (= (tptp.k8_setfam_1 A B) C)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 A))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 A)) (=> (= B (tptp.k2_tarski C D)) (= (tptp.k8_setfam_1 A B) (tptp.k5_subset_1 A C D))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m1_pboole C A) (=> (tptp.r1_pboole A B C) (tptp.m2_pboole B A C)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (and (tptp.v2_relat_1 C) (tptp.m1_pboole C A)) (=> (tptp.m2_pboole B A C) (tptp.r1_pboole A B C)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funcop_1 C) (tptp.m1_pboole C B)) (forall ((D $$unsorted)) (=> (and (tptp.v1_relat_1 D) (tptp.v1_funct_1 D)) (=> (and (tptp.r2_hidden A B) (= D (tptp.k1_funct_1 C A))) (= (tptp.k1_funct_1 (tptp.k2_mssubfam B C) A) (tptp.k2_relat_1 D))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funcop_1 C) (tptp.m1_pboole C B)) (forall ((D $$unsorted)) (=> (and (tptp.v1_relat_1 D) (tptp.v1_funct_1 D)) (=> (and (tptp.r2_hidden A B) (= D (tptp.k1_funct_1 C A))) (= (tptp.k1_funct_1 (tptp.k1_mssubfam B C) A) (tptp.k1_relat_1 D))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_funcop_1 B) (tptp.m1_pboole B A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k13_pboole B C))) (=> (and (tptp.v1_funcop_1 C) (tptp.m1_pboole C A)) (and (tptp.v1_funcop_1 _let_1) (tptp.m1_pboole _let_1 A))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v2_relat_1 B) (tptp.m1_pboole B A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k1_pboole A))) (=> (tptp.m3_pboole C A B _let_1) (tptp.r6_pboole A C _let_1)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m1_pboole C A) (forall ((D $$unsorted)) (=> (and (tptp.v1_funcop_1 D) (tptp.m1_pboole D A)) (=> (and (tptp.r1_pzfmisc1 A B C) (tptp.m3_pboole D A B C)) (and (tptp.r6_pboole A (tptp.k1_mssubfam A D) B) (tptp.r2_pboole A (tptp.k2_mssubfam A D) C))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m1_pboole C A) (=> (and (tptp.r2_pboole A B C) (tptp.v1_pre_circ C A)) (tptp.v1_pre_circ B A)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m1_pboole C A) (=> (and (tptp.v2_relat_1 B) (tptp.v1_pre_circ (tptp.k11_pboole A C B) A)) (tptp.v1_pre_circ C A)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m1_pboole C A) (=> (and (tptp.v2_relat_1 B) (tptp.v1_pre_circ (tptp.k11_pboole A B C) A)) (tptp.v1_pre_circ C A)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (= (tptp.v1_pre_circ B A) (tptp.v1_pre_circ (tptp.k1_mboolean A B) A)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v2_relat_1 B) (tptp.m1_pboole B A)) (=> (and (tptp.v1_pre_circ B A) (forall ((C $$unsorted)) (=> (tptp.m1_pboole C A) (=> (tptp.r1_pboole A C B) (tptp.v1_pre_circ C A))))) (tptp.v1_pre_circ (tptp.k2_mboolean A B) A)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (=> (tptp.v1_pre_circ (tptp.k2_mboolean A B) A) (and (tptp.v1_pre_circ B A) (forall ((C $$unsorted)) (=> (tptp.m1_pboole C A) (=> (tptp.r1_pboole A C B) (tptp.v1_pre_circ C A)))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_funcop_1 B) (tptp.m1_pboole B A)) (=> (tptp.v1_pre_circ (tptp.k1_mssubfam A B) A) (tptp.v1_pre_circ (tptp.k2_mssubfam A B) A)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (and (tptp.v1_funcop_1 C) (tptp.m1_pboole C A)) (=> (and (tptp.r2_pboole A B (tptp.k2_mssubfam A C)) (forall ((D $$unsorted) (E $$unsorted)) (=> (and (tptp.v1_relat_1 E) (tptp.v1_funct_1 E)) (=> (and (tptp.r2_hidden D A) (= E (tptp.k1_funct_1 C D))) (tptp.v1_finset_1 (tptp.k10_relat_1 E (tptp.k1_funct_1 B D))))))) (tptp.v1_pre_circ B A)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m1_pboole C A) (forall ((D $$unsorted)) (=> (tptp.m1_pboole D A) (not (and (tptp.v1_pre_circ B A) (tptp.r2_pboole A B (tptp.k11_pboole A C D)) (forall ((E $$unsorted)) (=> (tptp.m1_pboole E A) (forall ((F $$unsorted)) (=> (tptp.m1_pboole F A) (not (and (tptp.v1_pre_circ E A) (tptp.r2_pboole A E C) (tptp.v1_pre_circ F A) (tptp.r2_pboole A F D) (tptp.r2_pboole A B (tptp.k11_pboole A E F)))))))))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m1_pboole C A) (forall ((D $$unsorted)) (=> (tptp.m1_pboole D A) (not (and (tptp.v1_pre_circ B A) (tptp.v1_pre_circ C A) (tptp.r2_pboole A B (tptp.k11_pboole A D C)) (forall ((E $$unsorted)) (=> (tptp.m1_pboole E A) (not (and (tptp.v1_pre_circ E A) (tptp.r2_pboole A E D) (tptp.r2_pboole A B (tptp.k11_pboole A E C)))))))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v2_relat_1 B) (tptp.v1_pre_circ B A) (tptp.m1_pboole B A)) (not (and (forall ((C $$unsorted)) (=> (tptp.m1_pboole C A) (forall ((D $$unsorted)) (=> (tptp.m1_pboole D A) (not (and (tptp.r1_pboole A C B) (tptp.r1_pboole A D B) (not (tptp.r2_pboole A C D)) (not (tptp.r2_pboole A D C)))))))) (forall ((C $$unsorted)) (=> (tptp.m1_pboole C A) (not (and (tptp.r1_pboole A C B) (forall ((D $$unsorted)) (=> (tptp.m1_pboole D A) (=> (tptp.r1_pboole A D B) (tptp.r2_pboole A C D)))))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v2_relat_1 B) (tptp.v1_pre_circ B A) (tptp.m1_pboole B A)) (not (and (forall ((C $$unsorted)) (=> (tptp.m1_pboole C A) (forall ((D $$unsorted)) (=> (tptp.m1_pboole D A) (not (and (tptp.r1_pboole A C B) (tptp.r1_pboole A D B) (not (tptp.r2_pboole A C D)) (not (tptp.r2_pboole A D C)))))))) (forall ((C $$unsorted)) (=> (tptp.m1_pboole C A) (not (and (tptp.r1_pboole A C B) (forall ((D $$unsorted)) (=> (tptp.m1_pboole D A) (=> (tptp.r1_pboole A D B) (tptp.r2_pboole A D C)))))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_funcop_1 B) (tptp.m1_pboole B A)) (forall ((C $$unsorted)) (=> (tptp.m1_pboole C A) (not (and (tptp.v1_pre_circ C A) (tptp.r2_pboole A C (tptp.k2_mssubfam A B)) (forall ((D $$unsorted)) (=> (tptp.m1_pboole D A) (not (and (tptp.r2_pboole A D (tptp.k1_mssubfam A B)) (tptp.v1_pre_circ D A) (tptp.r6_pboole A (tptp.k14_pboole A D B) C))))))))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k1_pboole A))) (=> (tptp.m1_pboole B A) (and (tptp.v3_relat_1 _let_1) (tptp.v1_pre_circ _let_1 A) (tptp.m4_pboole _let_1 A (tptp.k1_mboolean A B)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.m1_pboole C B) (forall ((D $$unsorted)) (=> (tptp.m4_pboole D B (tptp.k1_mboolean B C)) (=> (tptp.r2_hidden A B) (tptp.m1_subset_1 (tptp.k1_funct_1 D A) (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 (tptp.k1_funct_1 C A))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m1_pboole C A) (forall ((D $$unsorted)) (=> (tptp.m4_pboole D A (tptp.k1_mboolean A C)) (=> (tptp.r1_pboole A B D) (tptp.m4_pboole B A C)))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m4_pboole C A (tptp.k1_mboolean A B)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k1_mboolean A B))) (=> (tptp.m4_pboole D A _let_1) (tptp.m4_pboole (tptp.k2_pboole A C D) A _let_1)))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m4_pboole C A (tptp.k1_mboolean A B)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k1_mboolean A B))) (=> (tptp.m4_pboole D A _let_1) (tptp.m4_pboole (tptp.k3_pboole A C D) A _let_1)))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m1_pboole C A) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k1_mboolean A C))) (=> (tptp.m4_pboole D A _let_1) (tptp.m4_pboole (tptp.k4_pboole A D B) A _let_1)))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m4_pboole C A (tptp.k1_mboolean A B)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k1_mboolean A B))) (=> (tptp.m4_pboole D A _let_1) (tptp.m4_pboole (tptp.k5_pboole A C D) A _let_1)))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m1_pboole C A) (=> (tptp.r2_pboole A B C) (tptp.m4_pboole (tptp.k1_pzfmisc1 A B) A (tptp.k1_mboolean A C))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m1_pboole C A) (forall ((D $$unsorted)) (=> (tptp.m1_pboole D A) (=> (and (tptp.r2_pboole A B C) (tptp.r2_pboole A D C)) (tptp.m4_pboole (tptp.k2_pzfmisc1 A B D) A (tptp.k1_mboolean A C))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m4_pboole C A (tptp.k1_mboolean A B)) (tptp.r2_pboole A (tptp.k2_mboolean A C) B))))) true (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m4_pboole C A (tptp.k1_mboolean A B)) (forall ((D $$unsorted)) (=> (tptp.m1_pboole D A) (= (= D (tptp.k5_mssubfam A B C)) (forall ((E $$unsorted)) (not (and (tptp.r2_hidden E A) (forall ((F $$unsorted)) (let ((_let_1 (tptp.k1_funct_1 B E))) (=> (tptp.m1_subset_1 F (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 _let_1))) (not (and (= F (tptp.k1_funct_1 C E)) (= (tptp.k1_funct_1 D E) (tptp.k8_setfam_1 _let_1 F))))))))))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m4_pboole C A (tptp.k1_mboolean A B)) (=> (tptp.r6_pboole A C (tptp.k1_pboole A)) (tptp.r6_pboole A (tptp.k6_mssubfam A B C) B)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (and (tptp.v2_relat_1 C) (tptp.m4_pboole C A (tptp.k1_mboolean A B))) (tptp.r2_pboole A (tptp.k6_mssubfam A B C) (tptp.k2_mboolean A C)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m1_pboole C A) (forall ((D $$unsorted)) (=> (tptp.m4_pboole D A (tptp.k1_mboolean A B)) (=> (tptp.r1_pboole A C D) (tptp.r2_pboole A (tptp.k6_mssubfam A B D) C)))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k1_pboole A))) (=> (tptp.m4_pboole C A (tptp.k1_mboolean A B)) (=> (tptp.r1_pboole A _let_1 C) (tptp.r6_pboole A (tptp.k6_mssubfam A B C) _let_1))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m1_pboole C A) (forall ((D $$unsorted)) (=> (and (tptp.v2_relat_1 D) (tptp.m4_pboole D A (tptp.k1_mboolean A C))) (=> (forall ((E $$unsorted)) (=> (tptp.m1_pboole E A) (=> (tptp.r1_pboole A E D) (tptp.r2_pboole A B E)))) (tptp.r2_pboole A B (tptp.k6_mssubfam A C D))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m4_pboole C A (tptp.k1_mboolean A B)) (forall ((D $$unsorted)) (=> (tptp.m4_pboole D A (tptp.k1_mboolean A B)) (=> (tptp.r2_pboole A C D) (tptp.r2_pboole A (tptp.k6_mssubfam A B D) (tptp.k6_mssubfam A B C))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m1_pboole C A) (forall ((D $$unsorted)) (=> (tptp.m1_pboole D A) (forall ((E $$unsorted)) (=> (tptp.m4_pboole E A (tptp.k1_mboolean A B)) (=> (and (tptp.r1_pboole A C E) (tptp.r2_pboole A C D)) (tptp.r2_pboole A (tptp.k6_mssubfam A B E) D)))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m1_pboole C A) (forall ((D $$unsorted)) (=> (tptp.m1_pboole D A) (forall ((E $$unsorted)) (let ((_let_1 (tptp.k1_pboole A))) (=> (tptp.m4_pboole E A (tptp.k1_mboolean A B)) (=> (and (tptp.r1_pboole A C E) (tptp.r6_pboole A (tptp.k3_pboole A C D) _let_1)) (tptp.r6_pboole A (tptp.k3_pboole A (tptp.k6_mssubfam A B E) D) _let_1))))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m4_pboole C A (tptp.k1_mboolean A B)) (forall ((D $$unsorted)) (=> (tptp.m4_pboole D A (tptp.k1_mboolean A B)) (forall ((E $$unsorted)) (=> (tptp.m4_pboole E A (tptp.k1_mboolean A B)) (=> (tptp.r6_pboole A C (tptp.k2_pboole A D E)) (tptp.r6_pboole A (tptp.k6_mssubfam A B C) (tptp.k3_pboole A (tptp.k6_mssubfam A B D) (tptp.k6_mssubfam A B E)))))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m4_pboole C A (tptp.k1_mboolean A B)) (forall ((D $$unsorted)) (=> (tptp.m4_pboole D A B) (=> (tptp.r6_pboole A C (tptp.k1_pzfmisc1 A D)) (tptp.r6_pboole A (tptp.k6_mssubfam A B C) D)))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m4_pboole C A (tptp.k1_mboolean A B)) (forall ((D $$unsorted)) (=> (tptp.m4_pboole D A B) (forall ((E $$unsorted)) (=> (tptp.m4_pboole E A B) (=> (tptp.r6_pboole A C (tptp.k2_pzfmisc1 A D E)) (tptp.r6_pboole A (tptp.k6_mssubfam A B C) (tptp.k3_pboole A D E))))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m1_pboole C A) (forall ((D $$unsorted)) (=> (tptp.m4_pboole D A (tptp.k1_mboolean A B)) (=> (tptp.r1_pboole A C (tptp.k6_mssubfam A B D)) (forall ((E $$unsorted)) (=> (tptp.m1_pboole E A) (=> (tptp.r1_pboole A E D) (tptp.r1_pboole A C E))))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m1_pboole C A) (forall ((D $$unsorted)) (=> (and (tptp.v2_relat_1 D) (tptp.m4_pboole D A (tptp.k1_mboolean A C))) (=> (and (tptp.r1_pboole A B C) (forall ((E $$unsorted)) (=> (tptp.m1_pboole E A) (=> (tptp.r1_pboole A E D) (tptp.r1_pboole A B E))))) (tptp.r1_pboole A B (tptp.k6_mssubfam A C D))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m4_pboole C A (tptp.k1_mboolean A B)) (= (tptp.v1_mssubfam C A B) (forall ((D $$unsorted)) (=> (tptp.m1_pboole D A) (forall ((E $$unsorted)) (=> (tptp.m1_pboole E A) (=> (and (tptp.r1_pboole A D C) (tptp.r1_pboole A E C)) (tptp.r1_pboole A (tptp.k2_pboole A D E) C))))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m4_pboole C A (tptp.k1_mboolean A B)) (= (tptp.v2_mssubfam C A B) (forall ((D $$unsorted)) (=> (tptp.m4_pboole D A (tptp.k1_mboolean A B)) (=> (tptp.r2_pboole A D C) (tptp.r1_pboole A (tptp.k2_mboolean A D) C))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m4_pboole C A (tptp.k1_mboolean A B)) (= (tptp.v3_mssubfam C A B) (forall ((D $$unsorted)) (=> (tptp.m1_pboole D A) (forall ((E $$unsorted)) (=> (tptp.m1_pboole E A) (=> (and (tptp.r1_pboole A D C) (tptp.r1_pboole A E C)) (tptp.r1_pboole A (tptp.k3_pboole A D E) C))))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m4_pboole C A (tptp.k1_mboolean A B)) (= (tptp.v4_mssubfam C A B) (forall ((D $$unsorted)) (=> (tptp.m4_pboole D A (tptp.k1_mboolean A B)) (=> (tptp.r2_pboole A D C) (tptp.r1_pboole A (tptp.k6_mssubfam A B D) C))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m4_pboole C A (tptp.k1_mboolean A B)) (= (tptp.v5_mssubfam C A B) (tptp.r1_pboole A B C)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (forall ((C $$unsorted)) (=> (tptp.m4_pboole C A (tptp.k1_mboolean A B)) (= (tptp.v6_mssubfam C A B) (tptp.r1_pboole A (tptp.k1_pboole A) C)))))) (=> (forall ((A $$unsorted)) (=> (tptp.r2_hidden A tptp.f1_s1_mssubfam) (forall ((B $$unsorted)) (not (and (tptp.r2_hidden B (tptp.k1_funct_1 tptp.f2_s1_mssubfam A)) (forall ((C $$unsorted)) (not (and (tptp.r2_hidden C (tptp.k1_funct_1 tptp.f3_s1_mssubfam A)) (tptp.p1_s1_mssubfam C B A))))))))) (exists ((A $$unsorted)) (and (tptp.m3_pboole A tptp.f1_s1_mssubfam tptp.f2_s1_mssubfam tptp.f3_s1_mssubfam) (forall ((B $$unsorted)) (not (and (tptp.r2_hidden B tptp.f1_s1_mssubfam) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k1_funct_1 tptp.f3_s1_mssubfam B))) (let ((_let_2 (tptp.k1_funct_1 tptp.f2_s1_mssubfam B))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.m2_relset_1 C _let_2 _let_1)) (not (and (= C (tptp.k1_funct_1 A B)) (forall ((D $$unsorted)) (=> (tptp.r2_hidden D (tptp.k1_funct_1 tptp.f2_s1_mssubfam B)) (tptp.p1_s1_mssubfam (tptp.k1_funct_1 C D) D B))))))))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_funcop_1 B) (tptp.m1_pboole B A)) (tptp.m1_pboole (tptp.k1_mssubfam A B) A))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_funcop_1 B) (tptp.m1_pboole B A)) (= (tptp.k1_mssubfam A B) (tptp.k2_funct_6 B)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_funcop_1 B) (tptp.m1_pboole B A)) (tptp.m1_pboole (tptp.k2_mssubfam A B) A))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_funcop_1 B) (tptp.m1_pboole B A)) (= (tptp.k2_mssubfam A B) (tptp.k3_funct_6 B)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (tptp.m4_pboole (tptp.k3_mssubfam A B) A (tptp.k1_mboolean A B)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (= (tptp.k3_mssubfam A B) (tptp.k1_mboolean A B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.m1_pboole B A) (tptp.m4_pboole C A (tptp.k1_mboolean A B)) (tptp.m1_subset_1 D A)) (tptp.m1_subset_1 (tptp.k4_mssubfam A B C D) (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 (tptp.k1_funct_1 B D)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.m1_pboole B A) (tptp.m4_pboole C A (tptp.k1_mboolean A B)) (tptp.m1_subset_1 D A)) (= (tptp.k4_mssubfam A B C D) (tptp.k1_funct_1 C D)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.m1_pboole B A) (tptp.m4_pboole C A (tptp.k1_mboolean A B))) (tptp.m1_pboole (tptp.k5_mssubfam A B C) A))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.m1_pboole B A) (tptp.m4_pboole C A (tptp.k1_mboolean A B))) (tptp.m4_pboole (tptp.k6_mssubfam A B C) A B))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.m1_pboole B A) (tptp.m4_pboole C A (tptp.k1_mboolean A B))) (= (tptp.k6_mssubfam A B C) (tptp.k5_mssubfam A B C)))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k7_mssubfam A B))) (=> (tptp.m1_pboole B A) (and (tptp.v1_mssubfam _let_1 A B) (tptp.v2_mssubfam _let_1 A B) (tptp.v3_mssubfam _let_1 A B) (tptp.v4_mssubfam _let_1 A B) (tptp.v5_mssubfam _let_1 A B) (tptp.v6_mssubfam _let_1 A B) (tptp.m4_pboole _let_1 A (tptp.k1_mboolean A B)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (= (tptp.k7_mssubfam A B) (tptp.k1_mboolean A B)))) (exists ((A $$unsorted)) (and (tptp.l1_struct_0 A) (tptp.v1_struct_0 A))) (exists ((A $$unsorted)) (and (tptp.l2_struct_0 A) (tptp.v2_struct_0 A))) (exists ((A $$unsorted)) (and (tptp.l1_struct_0 A) (not (tptp.v3_struct_0 A)))) (exists ((A $$unsorted)) (and (tptp.l2_struct_0 A) (not (tptp.v3_struct_0 A)))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_struct_0 A)) (not (tptp.v1_xboole_0 (tptp.u1_struct_0 A))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_struct_0 A)) (exists ((B $$unsorted)) (and (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (not (tptp.v1_xboole_0 B)))))) (forall ((A $$unsorted)) (=> (tptp.l1_struct_0 A) (= (tptp.v3_struct_0 A) (tptp.v1_xboole_0 (tptp.u1_struct_0 A))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_struct_0 A) (not (tptp.v1_xboole_0 B)) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (forall ((C $$unsorted)) (=> (tptp.m1_struct_0 C A B) (tptp.m1_subset_1 C (tptp.u1_struct_0 A)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_struct_0 A) (not (tptp.v1_xboole_0 B)) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (exists ((C $$unsorted)) (tptp.m1_struct_0 C A B)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_struct_0 A) (not (tptp.v1_xboole_0 B)) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (forall ((C $$unsorted)) (= (tptp.m1_struct_0 C A B) (tptp.m1_subset_1 C B))))) true (exists ((A $$unsorted)) (tptp.l1_struct_0 A)) (forall ((A $$unsorted)) (=> (tptp.l2_struct_0 A) (tptp.l1_struct_0 A))) (exists ((A $$unsorted)) (tptp.l2_struct_0 A)) (forall ((A $$unsorted)) (=> (tptp.l1_struct_0 A) (=> (tptp.v1_struct_0 A) (= A (tptp.g1_struct_0 (tptp.u1_struct_0 A)))))) (forall ((A $$unsorted)) (=> (tptp.l2_struct_0 A) (=> (tptp.v2_struct_0 A) (= A (tptp.g2_struct_0 (tptp.u1_struct_0 A) (tptp.u2_struct_0 A)))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_struct_0 A) (tptp.m1_subset_1 B _let_1)) (tptp.m1_subset_1 (tptp.k1_struct_0 A B) (tptp.k1_zfmisc_1 _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_struct_0 A) (tptp.m1_subset_1 B (tptp.u1_struct_0 A))) (= (tptp.k1_struct_0 A B) (tptp.k1_tarski B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_struct_0 A) (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (tptp.m1_subset_1 (tptp.k2_struct_0 A B C) (tptp.k1_zfmisc_1 _let_1))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_struct_0 A) (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (= (tptp.k2_struct_0 A B C) (tptp.k2_struct_0 A C B))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_struct_0 A) (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (= (tptp.k2_struct_0 A B C) (tptp.k2_tarski B C))))) true (forall ((A $$unsorted)) (=> (tptp.l2_struct_0 A) (tptp.m1_subset_1 (tptp.u2_struct_0 A) (tptp.u1_struct_0 A)))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.g1_struct_0 A))) (and (tptp.v1_struct_0 _let_1) (tptp.l1_struct_0 _let_1)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (= (tptp.g1_struct_0 A) (tptp.g1_struct_0 B)) (= A B))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.g2_struct_0 A B))) (=> (tptp.m1_subset_1 B A) (and (tptp.v2_struct_0 _let_1) (tptp.l2_struct_0 _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B A) (forall ((C $$unsorted) (D $$unsorted)) (=> (= (tptp.g2_struct_0 A B) (tptp.g2_struct_0 C D)) (and (= A C) (= B D)))))) (exists ((A $$unsorted)) (and (tptp.l1_rlvect_1 A) (tptp.v1_rlvect_1 A))) (exists ((A $$unsorted)) (and (tptp.l2_rlvect_1 A) (tptp.v2_rlvect_1 A))) (exists ((A $$unsorted)) (and (tptp.l2_rlvect_1 A) (not (tptp.v3_struct_0 A)))) (exists ((A $$unsorted)) (and (tptp.l1_rlvect_1 A) (not (tptp.v3_struct_0 A)) (tptp.v1_rlvect_1 A))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.g2_rlvect_1 A B C D))) (let ((_let_2 (tptp.k2_zfmisc_1 tptp.k1_numbers A))) (let ((_let_3 (tptp.k2_zfmisc_1 A A))) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.m1_subset_1 B A) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_3 A) (tptp.m1_relset_1 C _let_3 A) (tptp.v1_funct_1 D) (tptp.v1_funct_2 D _let_2 A) (tptp.m1_relset_1 D _let_2 A)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v2_rlvect_1 _let_1))))))) (exists ((A $$unsorted)) (and (tptp.l1_rlvect_1 A) (not (tptp.v3_struct_0 A)) (tptp.v1_rlvect_1 A) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A))) (exists ((A $$unsorted)) (and (tptp.l2_rlvect_1 A) (not (tptp.v3_struct_0 A)) (tptp.v2_rlvect_1 A) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v7_rlvect_1 A))) (forall ((A $$unsorted)) (=> (tptp.l1_struct_0 A) (forall ((B $$unsorted)) (= (tptp.r1_rlvect_1 A B) (tptp.r2_hidden B (tptp.u1_struct_0 A)))))) true true (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_struct_0 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (tptp.r1_rlvect_1 A B))))) (forall ((A $$unsorted)) (=> (tptp.l2_struct_0 A) (= (tptp.k1_rlvect_1 A) (tptp.u2_struct_0 A)))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_rlvect_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 C _let_1) (= (tptp.k2_rlvect_1 A B C) (tptp.k8_funct_2 (tptp.k2_zfmisc_1 _let_1 _let_1) _let_1 (tptp.u1_rlvect_1 A) (tptp.k1_domain_1 _let_1 _let_1 B C)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l2_rlvect_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 C tptp.k1_numbers) (= (tptp.k3_rlvect_1 A B C) (tptp.k8_funct_2 (tptp.k2_zfmisc_1 tptp.k1_numbers _let_1) _let_1 (tptp.u2_rlvect_1 A) (tptp.k1_domain_1 tptp.k1_numbers _let_1 C B)))))))))) true (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_rlvect_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 C _let_1) (= (tptp.k2_rlvect_1 A B C) (tptp.k2_binop_1 _let_1 _let_1 _let_1 (tptp.u1_rlvect_1 A) B C))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_rlvect_1 A)) (= (tptp.v3_rlvect_1 A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (tptp.k2_rlvect_1 A B C) (tptp.k2_rlvect_1 A C B))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_rlvect_1 A)) (= (tptp.v4_rlvect_1 A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (= (tptp.k2_rlvect_1 A (tptp.k2_rlvect_1 A B C) D) (tptp.k2_rlvect_1 A B (tptp.k2_rlvect_1 A C D)))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_rlvect_1 A)) (= (tptp.v5_rlvect_1 A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (= (tptp.k2_rlvect_1 A B (tptp.k1_rlvect_1 A)) B)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_rlvect_1 A)) (= (tptp.v6_rlvect_1 A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (exists ((C $$unsorted)) (and (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (tptp.k2_rlvect_1 A B C) (tptp.k1_rlvect_1 A))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l2_rlvect_1 A)) (= (tptp.v7_rlvect_1 A) (and (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.k1_numbers) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (= (tptp.k3_rlvect_1 A (tptp.k2_rlvect_1 A C D) B) (tptp.k2_rlvect_1 A (tptp.k3_rlvect_1 A C B) (tptp.k3_rlvect_1 A D B))))))))) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.k1_numbers) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C tptp.k1_numbers) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (= (tptp.k3_rlvect_1 A D (tptp.k3_real_1 B C)) (tptp.k2_rlvect_1 A (tptp.k3_rlvect_1 A D B) (tptp.k3_rlvect_1 A D C))))))))) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.k1_numbers) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C tptp.k1_numbers) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (= (tptp.k3_rlvect_1 A D (tptp.k4_real_1 B C)) (tptp.k3_rlvect_1 A (tptp.k3_rlvect_1 A D C) B)))))))) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (= (tptp.k3_rlvect_1 A B tptp.np__1) B))))))) true (forall ((A $$unsorted)) (let ((_let_1 (tptp.l2_rlvect_1 A))) (let ((_let_2 (not (tptp.v3_struct_0 A)))) (=> (and _let_2 _let_1) (=> (and (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (tptp.k2_rlvect_1 A B C) (tptp.k2_rlvect_1 A C B)))))) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (= (tptp.k2_rlvect_1 A (tptp.k2_rlvect_1 A B C) D) (tptp.k2_rlvect_1 A B (tptp.k2_rlvect_1 A C D))))))))) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (= (tptp.k2_rlvect_1 A B (tptp.k1_rlvect_1 A)) B))) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (exists ((C $$unsorted)) (and (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (tptp.k2_rlvect_1 A B C) (tptp.k1_rlvect_1 A)))))) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.k1_numbers) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (= (tptp.k3_rlvect_1 A (tptp.k2_rlvect_1 A C D) B) (tptp.k2_rlvect_1 A (tptp.k3_rlvect_1 A C B) (tptp.k3_rlvect_1 A D B))))))))) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.k1_numbers) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C tptp.k1_numbers) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (= (tptp.k3_rlvect_1 A D (tptp.k3_real_1 B C)) (tptp.k2_rlvect_1 A (tptp.k3_rlvect_1 A D B) (tptp.k3_rlvect_1 A D C))))))))) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.k1_numbers) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C tptp.k1_numbers) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (= (tptp.k3_rlvect_1 A D (tptp.k4_real_1 B C)) (tptp.k3_rlvect_1 A (tptp.k3_rlvect_1 A D C) B)))))))) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (= (tptp.k3_rlvect_1 A B tptp.np__1) B)))) (and _let_2 (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v7_rlvect_1 A) _let_1)))))) true true (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.l1_rlvect_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k1_rlvect_1 A))) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (and (= (tptp.k2_rlvect_1 A B _let_1) B) (= (tptp.k2_rlvect_1 A _let_1 B) B))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_rlvect_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (=> (and (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (= C (tptp.k5_rlvect_1 A B)) (= (tptp.k2_rlvect_1 A B C) (tptp.k1_rlvect_1 A)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_rlvect_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (tptp.k6_rlvect_1 A B C) (tptp.k2_rlvect_1 A B (tptp.k5_rlvect_1 A C))))))))) true true true true true (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.l1_rlvect_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k1_rlvect_1 A))) (let ((_let_2 (tptp.k5_rlvect_1 A B))) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (and (= (tptp.k2_rlvect_1 A B _let_2) _let_1) (= (tptp.k2_rlvect_1 A _let_2 B) _let_1)))))))) true true (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.l1_rlvect_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (=> (= (tptp.k2_rlvect_1 A B C) (tptp.k1_rlvect_1 A)) (= B (tptp.k5_rlvect_1 A C))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.l1_rlvect_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (exists ((D $$unsorted)) (and (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (= (tptp.k2_rlvect_1 A B D) C))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.l1_rlvect_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.u1_struct_0 A)) (=> (or (= (tptp.k2_rlvect_1 A B D) (tptp.k2_rlvect_1 A B E)) (= (tptp.k2_rlvect_1 A D B) (tptp.k2_rlvect_1 A E B))) (= D E)))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.l1_rlvect_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (=> (or (= (tptp.k2_rlvect_1 A B C) B) (= (tptp.k2_rlvect_1 A C B) B)) (= C (tptp.k1_rlvect_1 A))))))))) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.k1_numbers) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v7_rlvect_1 B) (tptp.l2_rlvect_1 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k1_rlvect_1 B))) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 B)) (=> (or (= A tptp.np__0) (= C _let_1)) (= (tptp.k3_rlvect_1 B C A) _let_1))))))))) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.k1_numbers) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v7_rlvect_1 B) (tptp.l2_rlvect_1 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k1_rlvect_1 B))) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 B)) (not (and (= (tptp.k3_rlvect_1 B C A) _let_1) (not (= A tptp.np__0)) (not (= C _let_1))))))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k1_rlvect_1 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.l1_rlvect_1 A)) (= (tptp.k5_rlvect_1 A _let_1) _let_1)))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.l1_rlvect_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (= (tptp.k6_rlvect_1 A B (tptp.k1_rlvect_1 A)) B))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.l1_rlvect_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (= (tptp.k6_rlvect_1 A (tptp.k1_rlvect_1 A) B) (tptp.k5_rlvect_1 A B)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.l1_rlvect_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (= (tptp.k6_rlvect_1 A B B) (tptp.k1_rlvect_1 A)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v7_rlvect_1 A) (tptp.l2_rlvect_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (= (tptp.k5_rlvect_1 A B) (tptp.k3_rlvect_1 A B (tptp.k1_real_1 tptp.np__1))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.l1_rlvect_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (= (tptp.k5_rlvect_1 A (tptp.k5_rlvect_1 A B)) B))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.l1_rlvect_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (=> (= (tptp.k5_rlvect_1 A B) (tptp.k5_rlvect_1 A C)) (= B C)))))))) true (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v7_rlvect_1 A) (tptp.l2_rlvect_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (=> (= B (tptp.k5_rlvect_1 A B)) (= B (tptp.k1_rlvect_1 A))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v7_rlvect_1 A) (tptp.l2_rlvect_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k1_rlvect_1 A))) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (=> (= (tptp.k4_rlvect_1 A B B) _let_1) (= B _let_1))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.l1_rlvect_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (=> (= (tptp.k6_rlvect_1 A B C) (tptp.k1_rlvect_1 A)) (= B C)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.l1_rlvect_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (exists ((D $$unsorted)) (and (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (= (tptp.k6_rlvect_1 A C D) B))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.l1_rlvect_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (=> (= (tptp.k6_rlvect_1 A B C) (tptp.k6_rlvect_1 A B D)) (= C D)))))))))) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.k1_numbers) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v7_rlvect_1 B) (tptp.l2_rlvect_1 B)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 B)) (= (tptp.k3_rlvect_1 B (tptp.k5_rlvect_1 B C) A) (tptp.k3_rlvect_1 B C (tptp.k1_real_1 A))))))))) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.k1_numbers) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v7_rlvect_1 B) (tptp.l2_rlvect_1 B)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 B)) (= (tptp.k3_rlvect_1 B (tptp.k5_rlvect_1 B C) A) (tptp.k5_rlvect_1 B (tptp.k3_rlvect_1 B C A))))))))) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.k1_numbers) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v7_rlvect_1 B) (tptp.l2_rlvect_1 B)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 B)) (= (tptp.k3_rlvect_1 B (tptp.k5_rlvect_1 B C) (tptp.k1_real_1 A)) (tptp.k3_rlvect_1 B C A)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.l1_rlvect_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (= (tptp.k6_rlvect_1 A B (tptp.k2_rlvect_1 A C D)) (tptp.k6_rlvect_1 A (tptp.k6_rlvect_1 A B D) C)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_rlvect_1 A) (tptp.l1_rlvect_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (= (tptp.k6_rlvect_1 A (tptp.k2_rlvect_1 A B C) D) (tptp.k2_rlvect_1 A B (tptp.k6_rlvect_1 A C D))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.l1_rlvect_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (= (tptp.k6_rlvect_1 A B (tptp.k6_rlvect_1 A C D)) (tptp.k4_rlvect_1 A (tptp.k6_rlvect_1 A B C) D)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.l1_rlvect_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (tptp.k5_rlvect_1 A (tptp.k2_rlvect_1 A B C)) (tptp.k6_rlvect_1 A (tptp.k5_rlvect_1 A C) B)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.l1_rlvect_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (tptp.k5_rlvect_1 A (tptp.k2_rlvect_1 A B C)) (tptp.k2_rlvect_1 A (tptp.k5_rlvect_1 A C) (tptp.k5_rlvect_1 A B))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.l1_rlvect_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (tptp.k6_rlvect_1 A (tptp.k5_rlvect_1 A B) C) (tptp.k6_rlvect_1 A (tptp.k5_rlvect_1 A C) B)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.l1_rlvect_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (tptp.k5_rlvect_1 A (tptp.k6_rlvect_1 A B C)) (tptp.k2_rlvect_1 A C (tptp.k5_rlvect_1 A B))))))))) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.k1_numbers) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v7_rlvect_1 B) (tptp.l2_rlvect_1 B)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 B)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 B)) (= (tptp.k3_rlvect_1 B (tptp.k6_rlvect_1 B C D) A) (tptp.k6_rlvect_1 B (tptp.k3_rlvect_1 B C A) (tptp.k3_rlvect_1 B D A))))))))))) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.k1_numbers) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.k1_numbers) (forall ((C $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.v3_rlvect_1 C) (tptp.v4_rlvect_1 C) (tptp.v5_rlvect_1 C) (tptp.v6_rlvect_1 C) (tptp.v7_rlvect_1 C) (tptp.l2_rlvect_1 C)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 C)) (= (tptp.k3_rlvect_1 C D (tptp.k5_real_1 A B)) (tptp.k6_rlvect_1 C (tptp.k3_rlvect_1 C D A) (tptp.k3_rlvect_1 C D B))))))))))) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.k1_numbers) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v7_rlvect_1 B) (tptp.l2_rlvect_1 B)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 B)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 B)) (=> (= (tptp.k3_rlvect_1 B C A) (tptp.k3_rlvect_1 B D A)) (or (= A tptp.np__0) (= C D))))))))))) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.k1_numbers) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.k1_numbers) (forall ((C $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.v3_rlvect_1 C) (tptp.v4_rlvect_1 C) (tptp.v5_rlvect_1 C) (tptp.v6_rlvect_1 C) (tptp.v7_rlvect_1 C) (tptp.l2_rlvect_1 C)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 C)) (=> (= (tptp.k3_rlvect_1 C D A) (tptp.k3_rlvect_1 C D B)) (or (= D (tptp.k1_rlvect_1 C)) (= A B))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_rlvect_1 A)) (forall ((B $$unsorted)) (=> (tptp.m2_finseq_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (= C (tptp.k9_rlvect_1 A B)) (exists ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D tptp.k5_numbers _let_1) (tptp.m2_relset_1 D tptp.k5_numbers _let_1) (= C (tptp.k8_funct_2 tptp.k5_numbers _let_1 D (tptp.k3_finseq_1 B))) (= (tptp.k8_funct_2 tptp.k5_numbers _let_1 D tptp.np__0) (tptp.k1_rlvect_1 A)) (forall ((E $$unsorted)) (=> (tptp.m2_subset_1 E tptp.k1_numbers tptp.k5_numbers) (forall ((F $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.k1_nat_1 E tptp.np__1))) (=> (tptp.m1_subset_1 F _let_1) (=> (= F (tptp.k1_funct_1 B _let_2)) (or (tptp.r1_xreal_0 (tptp.k3_finseq_1 B) E) (= (tptp.k8_funct_2 tptp.k5_numbers _let_1 D _let_2) (tptp.k2_rlvect_1 A (tptp.k8_funct_2 tptp.k5_numbers _let_1 D E) F)))))))))))))))))))) true true (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_rlvect_1 A)) (forall ((B $$unsorted)) (=> (tptp.m2_finseq_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m2_subset_1 C tptp.k1_numbers tptp.k5_numbers) (forall ((D $$unsorted)) (=> (tptp.m2_subset_1 D tptp.k1_numbers tptp.k5_numbers) (=> (and (tptp.r2_hidden C (tptp.k2_finseq_1 D)) (= (tptp.k3_finseq_1 B) D)) (tptp.m1_subset_1 (tptp.k1_funct_1 B C) (tptp.u1_struct_0 A))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_rlvect_1 A)) (forall ((B $$unsorted)) (=> (tptp.m2_finseq_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m2_finseq_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k3_finseq_1 B))) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (=> (and (= _let_1 (tptp.k1_nat_1 (tptp.k3_finseq_1 C) tptp.np__1)) (= C (tptp.k7_relat_1 B (tptp.k4_finseq_1 C))) (= D (tptp.k1_funct_1 B _let_1))) (= (tptp.k9_rlvect_1 A B) (tptp.k2_rlvect_1 A (tptp.k9_rlvect_1 A C) D)))))))))))) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.k1_numbers) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v7_rlvect_1 B) (tptp.l2_rlvect_1 B)) (forall ((C $$unsorted)) (=> (tptp.m2_finseq_1 C (tptp.u1_struct_0 B)) (forall ((D $$unsorted)) (=> (tptp.m2_finseq_1 D (tptp.u1_struct_0 B)) (=> (and (= (tptp.k3_finseq_1 C) (tptp.k3_finseq_1 D)) (forall ((E $$unsorted)) (=> (tptp.m2_subset_1 E tptp.k1_numbers tptp.k5_numbers) (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F (tptp.u1_struct_0 B)) (=> (and (tptp.r2_hidden E (tptp.k4_finseq_1 C)) (= F (tptp.k1_funct_1 D E))) (= (tptp.k1_funct_1 C E) (tptp.k3_rlvect_1 B F A)))))))) (= (tptp.k9_rlvect_1 B C) (tptp.k3_rlvect_1 B (tptp.k9_rlvect_1 B D) A))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.l1_rlvect_1 A)) (forall ((B $$unsorted)) (=> (tptp.m2_finseq_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m2_finseq_1 C (tptp.u1_struct_0 A)) (=> (and (= (tptp.k3_finseq_1 B) (tptp.k3_finseq_1 C)) (forall ((D $$unsorted)) (=> (tptp.m2_subset_1 D tptp.k1_numbers tptp.k5_numbers) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.u1_struct_0 A)) (=> (and (tptp.r2_hidden D (tptp.k4_finseq_1 B)) (= E (tptp.k1_funct_1 C D))) (= (tptp.k1_funct_1 B D) (tptp.k5_rlvect_1 A E)))))))) (= (tptp.k9_rlvect_1 A B) (tptp.k5_rlvect_1 A (tptp.k9_rlvect_1 A C)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.l1_rlvect_1 A)) (forall ((B $$unsorted)) (=> (tptp.m2_finseq_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m2_finseq_1 C _let_1) (= (tptp.k9_rlvect_1 A (tptp.k8_finseq_1 _let_1 B C)) (tptp.k2_rlvect_1 A (tptp.k9_rlvect_1 A B) (tptp.k9_rlvect_1 A C)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.l1_rlvect_1 A)) (forall ((B $$unsorted)) (=> (tptp.m2_finseq_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m2_finseq_1 C (tptp.u1_struct_0 A)) (=> (and (= (tptp.k2_relat_1 B) (tptp.k2_relat_1 C)) (tptp.v2_funct_1 B) (tptp.v2_funct_1 C)) (= (tptp.k9_rlvect_1 A B) (tptp.k9_rlvect_1 A C))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_rlvect_1 A)) (= (tptp.k9_rlvect_1 A (tptp.k6_finseq_1 (tptp.u1_struct_0 A))) (tptp.k1_rlvect_1 A)))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.l1_rlvect_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 B _let_1) (= (tptp.k9_rlvect_1 A (tptp.k12_finseq_1 _let_1 B)) B)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.l1_rlvect_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (tptp.k9_rlvect_1 A (tptp.k7_rlvect_1 A B C)) (tptp.k2_rlvect_1 A B C)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.l1_rlvect_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (= (tptp.k9_rlvect_1 A (tptp.k8_rlvect_1 A B C D)) (tptp.k2_rlvect_1 A (tptp.k2_rlvect_1 A B C) D)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v7_rlvect_1 A) (tptp.l2_rlvect_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.k1_numbers) (= (tptp.k3_rlvect_1 A (tptp.k9_rlvect_1 A (tptp.k6_finseq_1 (tptp.u1_struct_0 A))) B) (tptp.k1_rlvect_1 A)))))) true (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v7_rlvect_1 A) (tptp.l2_rlvect_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.k1_numbers) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (= (tptp.k3_rlvect_1 A (tptp.k9_rlvect_1 A (tptp.k7_rlvect_1 A C D)) B) (tptp.k4_rlvect_1 A (tptp.k3_rlvect_1 A C B) (tptp.k3_rlvect_1 A D B))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v7_rlvect_1 A) (tptp.l2_rlvect_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.k1_numbers) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.u1_struct_0 A)) (= (tptp.k3_rlvect_1 A (tptp.k9_rlvect_1 A (tptp.k8_rlvect_1 A C D E)) B) (tptp.k4_rlvect_1 A (tptp.k4_rlvect_1 A (tptp.k3_rlvect_1 A C B) (tptp.k3_rlvect_1 A D B)) (tptp.k3_rlvect_1 A E B))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.l1_rlvect_1 A)) (= (tptp.k5_rlvect_1 A (tptp.k9_rlvect_1 A (tptp.k6_finseq_1 (tptp.u1_struct_0 A)))) (tptp.k1_rlvect_1 A)))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.l1_rlvect_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 B _let_1) (= (tptp.k5_rlvect_1 A (tptp.k9_rlvect_1 A (tptp.k12_finseq_1 _let_1 B))) (tptp.k5_rlvect_1 A B))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.l1_rlvect_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (tptp.k5_rlvect_1 A (tptp.k9_rlvect_1 A (tptp.k7_rlvect_1 A B C))) (tptp.k6_rlvect_1 A (tptp.k5_rlvect_1 A B) C)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.l1_rlvect_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (= (tptp.k5_rlvect_1 A (tptp.k9_rlvect_1 A (tptp.k8_rlvect_1 A B C D))) (tptp.k6_rlvect_1 A (tptp.k6_rlvect_1 A (tptp.k5_rlvect_1 A B) C) D)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.l1_rlvect_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (tptp.k9_rlvect_1 A (tptp.k7_rlvect_1 A B C)) (tptp.k9_rlvect_1 A (tptp.k7_rlvect_1 A C B))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.l1_rlvect_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 C _let_1) (= (tptp.k9_rlvect_1 A (tptp.k7_rlvect_1 A B C)) (tptp.k2_rlvect_1 A (tptp.k9_rlvect_1 A (tptp.k12_finseq_1 _let_1 B)) (tptp.k9_rlvect_1 A (tptp.k12_finseq_1 _let_1 C))))))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k1_rlvect_1 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.l1_rlvect_1 A)) (= (tptp.k9_rlvect_1 A (tptp.k7_rlvect_1 A _let_1 _let_1)) _let_1)))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.l1_rlvect_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k1_rlvect_1 A))) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (and (= (tptp.k9_rlvect_1 A (tptp.k7_rlvect_1 A _let_1 B)) B) (= (tptp.k9_rlvect_1 A (tptp.k7_rlvect_1 A B _let_1)) B))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.l1_rlvect_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k1_rlvect_1 A))) (let ((_let_2 (tptp.k5_rlvect_1 A B))) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (and (= (tptp.k9_rlvect_1 A (tptp.k7_rlvect_1 A B _let_2)) _let_1) (= (tptp.k9_rlvect_1 A (tptp.k7_rlvect_1 A _let_2 B)) _let_1)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.l1_rlvect_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (tptp.k9_rlvect_1 A (tptp.k7_rlvect_1 A B (tptp.k5_rlvect_1 A C))) (tptp.k6_rlvect_1 A B C)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.l1_rlvect_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (tptp.k9_rlvect_1 A (tptp.k7_rlvect_1 A (tptp.k5_rlvect_1 A B) (tptp.k5_rlvect_1 A C))) (tptp.k5_rlvect_1 A (tptp.k2_rlvect_1 A C B))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v7_rlvect_1 A) (tptp.l2_rlvect_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (= (tptp.k9_rlvect_1 A (tptp.k7_rlvect_1 A B B)) (tptp.k3_rlvect_1 A B tptp.np__2)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v7_rlvect_1 A) (tptp.l2_rlvect_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k5_rlvect_1 A B))) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (= (tptp.k9_rlvect_1 A (tptp.k7_rlvect_1 A _let_1 _let_1)) (tptp.k3_rlvect_1 A B (tptp.k1_real_1 tptp.np__2)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.l1_rlvect_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 D _let_1) (= (tptp.k9_rlvect_1 A (tptp.k8_rlvect_1 A B C D)) (tptp.k2_rlvect_1 A (tptp.k2_rlvect_1 A (tptp.k9_rlvect_1 A (tptp.k12_finseq_1 _let_1 B)) (tptp.k9_rlvect_1 A (tptp.k12_finseq_1 _let_1 C))) (tptp.k9_rlvect_1 A (tptp.k12_finseq_1 _let_1 D))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.l1_rlvect_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (= (tptp.k9_rlvect_1 A (tptp.k8_rlvect_1 A B C D)) (tptp.k2_rlvect_1 A (tptp.k9_rlvect_1 A (tptp.k7_rlvect_1 A B C)) D)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.l1_rlvect_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (= (tptp.k9_rlvect_1 A (tptp.k8_rlvect_1 A C B D)) (tptp.k4_rlvect_1 A (tptp.k9_rlvect_1 A (tptp.k7_rlvect_1 A B D)) C)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.l1_rlvect_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (= (tptp.k9_rlvect_1 A (tptp.k8_rlvect_1 A C B D)) (tptp.k4_rlvect_1 A (tptp.k9_rlvect_1 A (tptp.k7_rlvect_1 A C D)) B)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.l1_rlvect_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (= (tptp.k9_rlvect_1 A (tptp.k8_rlvect_1 A C B D)) (tptp.k9_rlvect_1 A (tptp.k8_rlvect_1 A C D B))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.l1_rlvect_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (= (tptp.k9_rlvect_1 A (tptp.k8_rlvect_1 A C B D)) (tptp.k9_rlvect_1 A (tptp.k8_rlvect_1 A B C D))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.l1_rlvect_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (= (tptp.k9_rlvect_1 A (tptp.k8_rlvect_1 A C B D)) (tptp.k9_rlvect_1 A (tptp.k8_rlvect_1 A B D C))))))))))) true (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.l1_rlvect_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (= (tptp.k9_rlvect_1 A (tptp.k8_rlvect_1 A C B D)) (tptp.k9_rlvect_1 A (tptp.k8_rlvect_1 A D B C))))))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k1_rlvect_1 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.l1_rlvect_1 A)) (= (tptp.k9_rlvect_1 A (tptp.k8_rlvect_1 A _let_1 _let_1 _let_1)) _let_1)))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.l1_rlvect_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k1_rlvect_1 A))) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (and (= (tptp.k9_rlvect_1 A (tptp.k8_rlvect_1 A _let_1 _let_1 B)) B) (= (tptp.k9_rlvect_1 A (tptp.k8_rlvect_1 A _let_1 B _let_1)) B) (= (tptp.k9_rlvect_1 A (tptp.k8_rlvect_1 A B _let_1 _let_1)) B))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.l1_rlvect_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k2_rlvect_1 A B C))) (let ((_let_2 (tptp.k1_rlvect_1 A))) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (and (= (tptp.k9_rlvect_1 A (tptp.k8_rlvect_1 A _let_2 B C)) _let_1) (= (tptp.k9_rlvect_1 A (tptp.k8_rlvect_1 A B C _let_2)) _let_1) (= (tptp.k9_rlvect_1 A (tptp.k8_rlvect_1 A B _let_2 C)) _let_1)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v7_rlvect_1 A) (tptp.l2_rlvect_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (= (tptp.k9_rlvect_1 A (tptp.k8_rlvect_1 A B B B)) (tptp.k3_rlvect_1 A B tptp.np__3)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.l1_rlvect_1 A)) (forall ((B $$unsorted)) (=> (tptp.m2_finseq_1 B (tptp.u1_struct_0 A)) (=> (= (tptp.k3_finseq_1 B) tptp.np__0) (= (tptp.k9_rlvect_1 A B) (tptp.k1_rlvect_1 A))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.l1_rlvect_1 A)) (forall ((B $$unsorted)) (=> (tptp.m2_finseq_1 B (tptp.u1_struct_0 A)) (=> (= (tptp.k3_finseq_1 B) tptp.np__1) (= (tptp.k9_rlvect_1 A B) (tptp.k1_funct_1 B tptp.np__1))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.l1_rlvect_1 A)) (forall ((B $$unsorted)) (=> (tptp.m2_finseq_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (=> (and (= (tptp.k3_finseq_1 B) tptp.np__2) (= C (tptp.k1_funct_1 B tptp.np__1)) (= D (tptp.k1_funct_1 B tptp.np__2))) (= (tptp.k9_rlvect_1 A B) (tptp.k2_rlvect_1 A C D))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.l1_rlvect_1 A)) (forall ((B $$unsorted)) (=> (tptp.m2_finseq_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.u1_struct_0 A)) (=> (and (= (tptp.k3_finseq_1 B) tptp.np__3) (= C (tptp.k1_funct_1 B tptp.np__1)) (= D (tptp.k1_funct_1 B tptp.np__2)) (= E (tptp.k1_funct_1 B tptp.np__3))) (= (tptp.k9_rlvect_1 A B) (tptp.k2_rlvect_1 A (tptp.k2_rlvect_1 A C D) E))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l2_struct_0 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (= (tptp.v8_rlvect_1 B A) (not (= B (tptp.k1_rlvect_1 A)))))))) (forall ((A $$unsorted)) (=> (tptp.l1_rlvect_1 A) (tptp.l2_struct_0 A))) (exists ((A $$unsorted)) (tptp.l1_rlvect_1 A)) (forall ((A $$unsorted)) (=> (tptp.l2_rlvect_1 A) (tptp.l1_rlvect_1 A))) (exists ((A $$unsorted)) (tptp.l2_rlvect_1 A)) (forall ((A $$unsorted)) (=> (tptp.l1_rlvect_1 A) (=> (tptp.v1_rlvect_1 A) (= A (tptp.g1_rlvect_1 (tptp.u1_struct_0 A) (tptp.u1_rlvect_1 A) (tptp.u2_struct_0 A)))))) (forall ((A $$unsorted)) (=> (tptp.l2_rlvect_1 A) (=> (tptp.v2_rlvect_1 A) (= A (tptp.g2_rlvect_1 (tptp.u1_struct_0 A) (tptp.u2_struct_0 A) (tptp.u1_rlvect_1 A) (tptp.u2_rlvect_1 A)))))) (forall ((A $$unsorted)) (=> (tptp.l2_struct_0 A) (tptp.m1_subset_1 (tptp.k1_rlvect_1 A) (tptp.u1_struct_0 A)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_rlvect_1 A) (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (tptp.m1_subset_1 (tptp.k2_rlvect_1 A B C) _let_1)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l2_rlvect_1 A) (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C tptp.k1_numbers)) (tptp.m1_subset_1 (tptp.k3_rlvect_1 A B C) _let_1)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.l1_rlvect_1 A) (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (tptp.m1_subset_1 (tptp.k4_rlvect_1 A B C) _let_1)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.l1_rlvect_1 A) (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (= (tptp.k4_rlvect_1 A B C) (tptp.k4_rlvect_1 A C B))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.l1_rlvect_1 A) (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (= (tptp.k4_rlvect_1 A B C) (tptp.k2_rlvect_1 A B C))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_rlvect_1 A) (tptp.m1_subset_1 B _let_1)) (tptp.m1_subset_1 (tptp.k5_rlvect_1 A B) _let_1)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_rlvect_1 A) (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (tptp.m1_subset_1 (tptp.k6_rlvect_1 A B C) _let_1)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_struct_0 A) (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (tptp.m2_finseq_1 (tptp.k7_rlvect_1 A B C) _let_1)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_struct_0 A) (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (= (tptp.k7_rlvect_1 A B C) (tptp.k10_finseq_1 B C))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_struct_0 A) (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1) (tptp.m1_subset_1 D _let_1)) (tptp.m2_finseq_1 (tptp.k8_rlvect_1 A B C D) _let_1)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_struct_0 A) (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1) (tptp.m1_subset_1 D _let_1)) (= (tptp.k8_rlvect_1 A B C D) (tptp.k11_finseq_1 B C D))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_rlvect_1 A) (tptp.m1_finseq_1 B _let_1)) (tptp.m1_subset_1 (tptp.k9_rlvect_1 A B) _let_1)))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.k2_zfmisc_1 _let_1 _let_1))) (let ((_let_3 (tptp.u1_rlvect_1 A))) (=> (tptp.l1_rlvect_1 A) (and (tptp.v1_funct_1 _let_3) (tptp.v1_funct_2 _let_3 _let_2 _let_1) (tptp.m2_relset_1 _let_3 _let_2 _let_1))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.k2_zfmisc_1 tptp.k1_numbers _let_1))) (let ((_let_3 (tptp.u2_rlvect_1 A))) (=> (tptp.l2_rlvect_1 A) (and (tptp.v1_funct_1 _let_3) (tptp.v1_funct_2 _let_3 _let_2 _let_1) (tptp.m2_relset_1 _let_3 _let_2 _let_1))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.g1_rlvect_1 A B C))) (let ((_let_2 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_2 A) (tptp.m1_relset_1 B _let_2 A) (tptp.m1_subset_1 C A)) (and (tptp.v1_rlvect_1 _let_1) (tptp.l1_rlvect_1 _let_1)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_1 A) (tptp.m1_relset_1 B _let_1 A) (tptp.m1_subset_1 C A)) (forall ((D $$unsorted) (E $$unsorted) (F $$unsorted)) (=> (= (tptp.g1_rlvect_1 A B C) (tptp.g1_rlvect_1 D E F)) (and (= A D) (= B E) (= C F))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.g2_rlvect_1 A B C D))) (let ((_let_2 (tptp.k2_zfmisc_1 tptp.k1_numbers A))) (let ((_let_3 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.m1_subset_1 B A) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_3 A) (tptp.m1_relset_1 C _let_3 A) (tptp.v1_funct_1 D) (tptp.v1_funct_2 D _let_2 A) (tptp.m1_relset_1 D _let_2 A)) (and (tptp.v2_rlvect_1 _let_1) (tptp.l2_rlvect_1 _let_1))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 tptp.k1_numbers A))) (let ((_let_2 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.m1_subset_1 B A) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 A) (tptp.m1_relset_1 C _let_2 A) (tptp.v1_funct_1 D) (tptp.v1_funct_2 D _let_1 A) (tptp.m1_relset_1 D _let_1 A)) (forall ((E $$unsorted) (F $$unsorted) (G $$unsorted) (H $$unsorted)) (=> (= (tptp.g2_rlvect_1 A B C D) (tptp.g2_rlvect_1 E F G H)) (and (= A E) (= B F) (= C G) (= D H)))))))) (exists ((A $$unsorted)) (and (tptp.l1_group_1 A) (tptp.v1_group_1 A))) (exists ((A $$unsorted)) (and (tptp.l1_group_1 A) (not (tptp.v3_struct_0 A)) (tptp.v1_group_1 A))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.g1_group_1 A B))) (let ((_let_2 (tptp.k2_zfmisc_1 A A))) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_2 A) (tptp.m1_relset_1 B _let_2 A)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v1_group_1 _let_1)))))) (forall ((A $$unsorted)) (let ((_let_1 (not (tptp.v3_struct_0 A)))) (=> (tptp.l1_group_1 A) (=> (and _let_1 (tptp.v3_group_1 A)) (and _let_1 (tptp.v2_group_1 A)))))) (exists ((A $$unsorted)) (and (tptp.l1_group_1 A) (not (tptp.v3_struct_0 A)) (tptp.v1_group_1 A) (tptp.v2_group_1 A) (tptp.v3_group_1 A) (tptp.v4_group_1 A))) (exists ((A $$unsorted)) (and (tptp.l1_group_1 A) (not (tptp.v3_struct_0 A)) (tptp.v1_group_1 A) (tptp.v2_group_1 A) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.v7_group_1 A))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.g1_rlvect_1 A B C))) (let ((_let_2 (tptp.k2_zfmisc_1 A A))) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_2 A) (tptp.m1_relset_1 B _let_2 A) (tptp.m1_subset_1 C A)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v1_rlvect_1 _let_1)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 C _let_1) (= (tptp.k1_group_1 A B C) (tptp.k2_binop_1 _let_1 _let_1 _let_1 (tptp.u1_group_1 A) B C))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_group_1 A)) (= (tptp.v2_group_1 A) (exists ((B $$unsorted)) (and (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (and (= (tptp.k1_group_1 A C B) C) (= (tptp.k1_group_1 A B C) C))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_group_1 A)) (= (tptp.v3_group_1 A) (exists ((B $$unsorted)) (and (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (and (= (tptp.k1_group_1 A C B) C) (= (tptp.k1_group_1 A B C) C) (exists ((D $$unsorted)) (and (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (= (tptp.k1_group_1 A C D) B) (= (tptp.k1_group_1 A D C) B))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_group_1 A)) (= (tptp.v4_group_1 A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (= (tptp.k1_group_1 A (tptp.k1_group_1 A B C) D) (tptp.k1_group_1 A B (tptp.k1_group_1 A C D)))))))))))) true true true true (forall ((A $$unsorted)) (let ((_let_1 (tptp.l1_group_1 A))) (let ((_let_2 (not (tptp.v3_struct_0 A)))) (=> (and _let_2 _let_1) (=> (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (= (tptp.k1_group_1 A (tptp.k1_group_1 A B C) D) (tptp.k1_group_1 A B (tptp.k1_group_1 A C D))))))))) (or (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (not (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (and (= (tptp.k1_group_1 A C B) C) (= (tptp.k1_group_1 A B C) C) (exists ((D $$unsorted)) (and (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (= (tptp.k1_group_1 A C D) B) (= (tptp.k1_group_1 A D C) B))))))))) (and _let_2 (tptp.v3_group_1 A) (tptp.v4_group_1 A) _let_1))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_group_1 A)) (=> (and (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (= (tptp.k1_group_1 A (tptp.k1_group_1 A B C) D) (tptp.k1_group_1 A B (tptp.k1_group_1 A C D))))))))) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (and (exists ((D $$unsorted)) (and (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (= (tptp.k1_group_1 A B D) C))) (exists ((D $$unsorted)) (and (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (= (tptp.k1_group_1 A D B) C))))))))) (and (tptp.v4_group_1 A) (tptp.v3_group_1 A))))) (and _let_10 _let_11) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_group_1 A)) (=> (tptp.v2_group_1 A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (= (= B (tptp.k2_group_1 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (and (= (tptp.k1_group_1 A C B) C) (= (tptp.k1_group_1 A B C) C)))))))))) true true (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (=> (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (and (= (tptp.k1_group_1 A C B) C) (= (tptp.k1_group_1 A B C) C)))) (= B (tptp.k2_group_1 A))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k2_group_1 A))) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (= C (tptp.k3_group_1 A B)) (and (= (tptp.k1_group_1 A B C) _let_1) (= (tptp.k1_group_1 A C B) _let_1)))))))))) true (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k2_group_1 A))) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (=> (and (= (tptp.k1_group_1 A B C) _let_1) (= (tptp.k1_group_1 A C B) _let_1)) (= C (tptp.k3_group_1 A B)))))))))) true (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (=> (or (= (tptp.k1_group_1 A B C) (tptp.k1_group_1 A B D)) (= (tptp.k1_group_1 A C B) (tptp.k1_group_1 A D B))) (= C D)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (=> (or (= (tptp.k1_group_1 A B C) B) (= (tptp.k1_group_1 A C B) B)) (= C (tptp.k2_group_1 A))))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k2_group_1 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (= (tptp.k3_group_1 A _let_1) _let_1)))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (=> (= (tptp.k3_group_1 A B) (tptp.k3_group_1 A C)) (= B C)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k2_group_1 A))) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (=> (= (tptp.k3_group_1 A B) _let_1) (= B _let_1))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (= (tptp.k3_group_1 A (tptp.k3_group_1 A B)) B))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k2_group_1 A))) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (=> (or (= (tptp.k1_group_1 A B C) _let_1) (= (tptp.k1_group_1 A C B) _let_1)) (and (= B (tptp.k3_group_1 A C)) (= C (tptp.k3_group_1 A B))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (= (= (tptp.k1_group_1 A B C) D) (= C (tptp.k1_group_1 A (tptp.k3_group_1 A B) D))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (= (= (tptp.k1_group_1 A B C) D) (= B (tptp.k1_group_1 A D (tptp.k3_group_1 A C)))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (exists ((D $$unsorted)) (and (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (= (tptp.k1_group_1 A B D) C))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (exists ((D $$unsorted)) (and (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (= (tptp.k1_group_1 A D B) C))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (tptp.k3_group_1 A (tptp.k1_group_1 A B C)) (tptp.k1_group_1 A (tptp.k3_group_1 A C) (tptp.k3_group_1 A B))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k1_group_1 A B C))) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (= _let_1 (tptp.k1_group_1 A C B)) (= (tptp.k3_group_1 A _let_1) (tptp.k1_group_1 A (tptp.k3_group_1 A B) (tptp.k3_group_1 A C))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k3_group_1 A B))) (let ((_let_2 (tptp.k3_group_1 A C))) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (= (tptp.k1_group_1 A B C) (tptp.k1_group_1 A C B)) (= (tptp.k1_group_1 A _let_1 _let_2) (tptp.k1_group_1 A _let_2 _let_1))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k3_group_1 A C))) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (= (tptp.k1_group_1 A B C) (tptp.k1_group_1 A C B)) (= (tptp.k1_group_1 A B _let_1) (tptp.k1_group_1 A _let_1 B)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_1 _let_1) (tptp.m2_relset_1 B _let_1 _let_1)) (= (= B (tptp.k4_group_1 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 C _let_1) (= (tptp.k8_funct_2 _let_1 _let_1 B C) (tptp.k3_group_1 A C))))))))))) true true (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (tptp.v2_binop_1 (tptp.u1_group_1 A) (tptp.u1_struct_0 A)))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_group_1 A) (tptp.l1_group_1 A)) (tptp.r3_binop_1 (tptp.u1_struct_0 A) (tptp.k2_group_1 A) (tptp.u1_group_1 A)))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_group_1 A) (tptp.l1_group_1 A)) (= (tptp.k3_binop_1 (tptp.u1_struct_0 A) (tptp.u1_group_1 A)) (tptp.k2_group_1 A)))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_group_1 A) (tptp.l1_group_1 A)) (tptp.v1_setwiseo (tptp.u1_group_1 A) (tptp.u1_struct_0 A)))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (tptp.r1_finseqop (tptp.u1_struct_0 A) (tptp.k4_group_1 A) (tptp.u1_group_1 A)))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (tptp.v1_finseqop (tptp.u1_group_1 A) (tptp.u1_struct_0 A)))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (= (tptp.k6_finseqop (tptp.u1_struct_0 A) (tptp.u1_group_1 A)) (tptp.k4_group_1 A)))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.k2_zfmisc_1 _let_1 tptp.k5_numbers))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_2 _let_1) (tptp.m2_relset_1 B _let_2 _let_1)) (= (= B (tptp.k5_group_1 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 C _let_1) (and (= (tptp.k2_binop_1 _let_1 tptp.k5_numbers _let_1 B C tptp.np__0) (tptp.k2_group_1 A)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m2_subset_1 D tptp.k1_numbers tptp.k5_numbers) (= (tptp.k2_binop_1 _let_1 tptp.k5_numbers _let_1 B C (tptp.k1_nat_1 D tptp.np__1)) (tptp.k1_group_1 A (tptp.k2_binop_1 _let_1 tptp.k5_numbers _let_1 B C D) C)))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.v1_int_1 B) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.k2_binop_1 _let_1 tptp.k5_numbers _let_1 (tptp.k5_group_1 A) C (tptp.k1_int_2 B)))) (let ((_let_3 (tptp.k6_group_1 A B C))) (let ((_let_4 (tptp.r1_xreal_0 tptp.np__0 B))) (=> (tptp.m1_subset_1 C _let_1) (and (=> _let_4 (= _let_3 _let_2)) (=> (not _let_4) (= _let_3 (tptp.k3_group_1 A _let_2)))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m2_subset_1 B tptp.k1_numbers tptp.k5_numbers) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 C _let_1) (= (tptp.k6_group_1 A B C) (tptp.k2_binop_1 _let_1 tptp.k5_numbers _let_1 (tptp.k5_group_1 A) C B))))))))) true true true true (forall ((A $$unsorted)) (=> (tptp.m2_subset_1 A tptp.k1_numbers tptp.k5_numbers) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k2_group_1 B))) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_group_1 B) (tptp.v4_group_1 B) (tptp.l1_group_1 B)) (= (tptp.k6_group_1 B A _let_1) _let_1)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (= (tptp.k6_group_1 A tptp.np__0 B) (tptp.k2_group_1 A)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (= (tptp.k6_group_1 A tptp.np__1 B) B))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (= (tptp.k6_group_1 A tptp.np__2 B) (tptp.k1_group_1 A B B)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (= (tptp.k6_group_1 A tptp.np__3 B) (tptp.k1_group_1 A (tptp.k1_group_1 A B B) B)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (= (= (tptp.k6_group_1 A tptp.np__2 B) (tptp.k2_group_1 A)) (= (tptp.k3_group_1 A B) B)))))) (forall ((A $$unsorted)) (=> (tptp.m2_subset_1 A tptp.k1_numbers tptp.k5_numbers) (forall ((B $$unsorted)) (=> (tptp.m2_subset_1 B tptp.k1_numbers tptp.k5_numbers) (forall ((C $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.v3_group_1 C) (tptp.v4_group_1 C) (tptp.l1_group_1 C)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 C)) (= (tptp.k6_group_1 C (tptp.k1_nat_1 A B) D) (tptp.k1_group_1 C (tptp.k6_group_1 C A D) (tptp.k6_group_1 C B D))))))))))) (forall ((A $$unsorted)) (=> (tptp.m2_subset_1 A tptp.k1_numbers tptp.k5_numbers) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_group_1 B) (tptp.v4_group_1 B) (tptp.l1_group_1 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k6_group_1 B A C))) (let ((_let_2 (tptp.k6_group_1 B (tptp.k1_nat_1 A tptp.np__1) C))) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 B)) (and (= _let_2 (tptp.k1_group_1 B _let_1 C)) (= _let_2 (tptp.k1_group_1 B C _let_1))))))))))) (forall ((A $$unsorted)) (=> (tptp.m2_subset_1 A tptp.k1_numbers tptp.k5_numbers) (forall ((B $$unsorted)) (=> (tptp.m2_subset_1 B tptp.k1_numbers tptp.k5_numbers) (forall ((C $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.v3_group_1 C) (tptp.v4_group_1 C) (tptp.l1_group_1 C)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 C)) (= (tptp.k6_group_1 C (tptp.k2_nat_1 A B) D) (tptp.k6_group_1 C B (tptp.k6_group_1 C A D))))))))))) (forall ((A $$unsorted)) (=> (tptp.m2_subset_1 A tptp.k1_numbers tptp.k5_numbers) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_group_1 B) (tptp.v4_group_1 B) (tptp.l1_group_1 B)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 B)) (= (tptp.k6_group_1 B A (tptp.k3_group_1 B C)) (tptp.k3_group_1 B (tptp.k6_group_1 B A C))))))))) (forall ((A $$unsorted)) (=> (tptp.m2_subset_1 A tptp.k1_numbers tptp.k5_numbers) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_group_1 B) (tptp.v4_group_1 B) (tptp.l1_group_1 B)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 B)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k6_group_1 B A D))) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 B)) (=> (= (tptp.k1_group_1 B C D) (tptp.k1_group_1 B D C)) (= (tptp.k1_group_1 B C _let_1) (tptp.k1_group_1 B _let_1 C)))))))))))) (forall ((A $$unsorted)) (=> (tptp.m2_subset_1 A tptp.k1_numbers tptp.k5_numbers) (forall ((B $$unsorted)) (=> (tptp.m2_subset_1 B tptp.k1_numbers tptp.k5_numbers) (forall ((C $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.v3_group_1 C) (tptp.v4_group_1 C) (tptp.l1_group_1 C)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 C)) (forall ((E $$unsorted)) (let ((_let_1 (tptp.k6_group_1 C A D))) (let ((_let_2 (tptp.k6_group_1 C B E))) (=> (tptp.m1_subset_1 E (tptp.u1_struct_0 C)) (=> (= (tptp.k1_group_1 C D E) (tptp.k1_group_1 C E D)) (= (tptp.k1_group_1 C _let_1 _let_2) (tptp.k1_group_1 C _let_2 _let_1))))))))))))))) (forall ((A $$unsorted)) (=> (tptp.m2_subset_1 A tptp.k1_numbers tptp.k5_numbers) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_group_1 B) (tptp.v4_group_1 B) (tptp.l1_group_1 B)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 B)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k1_group_1 B C D))) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 B)) (=> (= _let_1 (tptp.k1_group_1 B D C)) (= (tptp.k6_group_1 B A _let_1) (tptp.k1_group_1 B (tptp.k6_group_1 B A C) (tptp.k6_group_1 B A D))))))))))))) (forall ((A $$unsorted)) (=> (tptp.v1_int_1 A) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_group_1 B) (tptp.v4_group_1 B) (tptp.l1_group_1 B)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 B)) (=> (tptp.r1_xreal_0 tptp.np__0 A) (= (tptp.k6_group_1 B A C) (tptp.k6_group_1 B (tptp.k1_int_2 A) C))))))))) (forall ((A $$unsorted)) (=> (tptp.v1_int_1 A) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_group_1 B) (tptp.v4_group_1 B) (tptp.l1_group_1 B)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 B)) (=> (not (tptp.r1_xreal_0 tptp.np__0 A)) (= (tptp.k6_group_1 B A C) (tptp.k3_group_1 B (tptp.k6_group_1 B (tptp.k1_int_2 A) C)))))))))) true true (forall ((A $$unsorted)) (=> (tptp.v1_int_1 A) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_group_1 B) (tptp.v4_group_1 B) (tptp.l1_group_1 B)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 B)) (=> (= A tptp.np__0) (= (tptp.k6_group_1 B A C) (tptp.k2_group_1 B))))))))) (forall ((A $$unsorted)) (=> (tptp.v1_int_1 A) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_group_1 B) (tptp.v4_group_1 B) (tptp.l1_group_1 B)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 B)) (=> (tptp.r1_xreal_0 A tptp.np__0) (= (tptp.k6_group_1 B A C) (tptp.k3_group_1 B (tptp.k6_group_1 B (tptp.k1_int_2 A) C)))))))))) (forall ((A $$unsorted)) (=> (tptp.v1_int_1 A) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k2_group_1 B))) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_group_1 B) (tptp.v4_group_1 B) (tptp.l1_group_1 B)) (= (tptp.k6_group_1 B A _let_1) _let_1)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (= (tptp.k6_group_1 A (tptp.k7_binop_2 tptp.np__1) B) (tptp.k3_group_1 A B)))))) (forall ((A $$unsorted)) (=> (tptp.v1_int_1 A) (forall ((B $$unsorted)) (=> (tptp.v1_int_1 B) (forall ((C $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.v3_group_1 C) (tptp.v4_group_1 C) (tptp.l1_group_1 C)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 C)) (= (tptp.k6_group_1 C (tptp.k2_xcmplx_0 A B) D) (tptp.k1_group_1 C (tptp.k6_group_1 C A D) (tptp.k6_group_1 C B D))))))))))) (forall ((A $$unsorted)) (=> (tptp.m2_subset_1 A tptp.k1_numbers tptp.k5_numbers) (forall ((B $$unsorted)) (=> (tptp.v1_int_1 B) (forall ((C $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.v3_group_1 C) (tptp.v4_group_1 C) (tptp.l1_group_1 C)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 C)) (= (tptp.k6_group_1 C (tptp.k2_xcmplx_0 A B) D) (tptp.k1_group_1 C (tptp.k6_group_1 C A D) (tptp.k6_group_1 C B D))))))))))) (forall ((A $$unsorted)) (=> (tptp.m2_subset_1 A tptp.k1_numbers tptp.k5_numbers) (forall ((B $$unsorted)) (=> (tptp.v1_int_1 B) (forall ((C $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.v3_group_1 C) (tptp.v4_group_1 C) (tptp.l1_group_1 C)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 C)) (= (tptp.k6_group_1 C (tptp.k2_xcmplx_0 B A) D) (tptp.k1_group_1 C (tptp.k6_group_1 C B D) (tptp.k6_group_1 C A D))))))))))) (forall ((A $$unsorted)) (=> (tptp.v1_int_1 A) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_group_1 B) (tptp.v4_group_1 B) (tptp.l1_group_1 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k6_group_1 B A C))) (let ((_let_2 (tptp.k6_group_1 B (tptp.k2_xcmplx_0 A tptp.np__1) C))) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 B)) (and (= _let_2 (tptp.k1_group_1 B _let_1 C)) (= _let_2 (tptp.k1_group_1 B C _let_1))))))))))) (forall ((A $$unsorted)) (=> (tptp.v1_int_1 A) (forall ((B $$unsorted)) (=> (tptp.v1_int_1 B) (forall ((C $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.v3_group_1 C) (tptp.v4_group_1 C) (tptp.l1_group_1 C)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 C)) (= (tptp.k6_group_1 C (tptp.k3_xcmplx_0 A B) D) (tptp.k6_group_1 C B (tptp.k6_group_1 C A D))))))))))) (forall ((A $$unsorted)) (=> (tptp.m2_subset_1 A tptp.k1_numbers tptp.k5_numbers) (forall ((B $$unsorted)) (=> (tptp.v1_int_1 B) (forall ((C $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.v3_group_1 C) (tptp.v4_group_1 C) (tptp.l1_group_1 C)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 C)) (= (tptp.k6_group_1 C (tptp.k3_xcmplx_0 A B) D) (tptp.k6_group_1 C B (tptp.k6_group_1 C A D))))))))))) (forall ((A $$unsorted)) (=> (tptp.m2_subset_1 A tptp.k1_numbers tptp.k5_numbers) (forall ((B $$unsorted)) (=> (tptp.v1_int_1 B) (forall ((C $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.v3_group_1 C) (tptp.v4_group_1 C) (tptp.l1_group_1 C)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 C)) (= (tptp.k6_group_1 C (tptp.k3_xcmplx_0 B A) D) (tptp.k6_group_1 C A (tptp.k6_group_1 C B D))))))))))) (forall ((A $$unsorted)) (=> (tptp.v1_int_1 A) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_group_1 B) (tptp.v4_group_1 B) (tptp.l1_group_1 B)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 B)) (= (tptp.k6_group_1 B (tptp.k4_xcmplx_0 A) C) (tptp.k3_group_1 B (tptp.k6_group_1 B A C))))))))) (forall ((A $$unsorted)) (=> (tptp.m2_subset_1 A tptp.k1_numbers tptp.k5_numbers) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_group_1 B) (tptp.v4_group_1 B) (tptp.l1_group_1 B)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 B)) (= (tptp.k6_group_1 B (tptp.k7_binop_2 A) C) (tptp.k3_group_1 B (tptp.k6_group_1 B A C))))))))) (forall ((A $$unsorted)) (=> (tptp.v1_int_1 A) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_group_1 B) (tptp.v4_group_1 B) (tptp.l1_group_1 B)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 B)) (= (tptp.k6_group_1 B A (tptp.k3_group_1 B C)) (tptp.k3_group_1 B (tptp.k6_group_1 B A C))))))))) (forall ((A $$unsorted)) (=> (tptp.v1_int_1 A) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_group_1 B) (tptp.v4_group_1 B) (tptp.l1_group_1 B)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 B)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k1_group_1 B C D))) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 B)) (=> (= _let_1 (tptp.k1_group_1 B D C)) (= (tptp.k6_group_1 B A _let_1) (tptp.k1_group_1 B (tptp.k6_group_1 B A C) (tptp.k6_group_1 B A D))))))))))))) (forall ((A $$unsorted)) (=> (tptp.v1_int_1 A) (forall ((B $$unsorted)) (=> (tptp.v1_int_1 B) (forall ((C $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.v3_group_1 C) (tptp.v4_group_1 C) (tptp.l1_group_1 C)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 C)) (forall ((E $$unsorted)) (let ((_let_1 (tptp.k6_group_1 C A D))) (let ((_let_2 (tptp.k6_group_1 C B E))) (=> (tptp.m1_subset_1 E (tptp.u1_struct_0 C)) (=> (= (tptp.k1_group_1 C D E) (tptp.k1_group_1 C E D)) (= (tptp.k1_group_1 C _let_1 _let_2) (tptp.k1_group_1 C _let_2 _let_1))))))))))))))) (forall ((A $$unsorted)) (=> (tptp.m2_subset_1 A tptp.k1_numbers tptp.k5_numbers) (forall ((B $$unsorted)) (=> (tptp.v1_int_1 B) (forall ((C $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.v3_group_1 C) (tptp.v4_group_1 C) (tptp.l1_group_1 C)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 C)) (forall ((E $$unsorted)) (let ((_let_1 (tptp.k6_group_1 C A D))) (let ((_let_2 (tptp.k6_group_1 C B E))) (=> (tptp.m1_subset_1 E (tptp.u1_struct_0 C)) (=> (= (tptp.k1_group_1 C D E) (tptp.k1_group_1 C E D)) (= (tptp.k1_group_1 C _let_1 _let_2) (tptp.k1_group_1 C _let_2 _let_1))))))))))))))) true (forall ((A $$unsorted)) (=> (tptp.v1_int_1 A) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_group_1 B) (tptp.v4_group_1 B) (tptp.l1_group_1 B)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 B)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k6_group_1 B A D))) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 B)) (=> (= (tptp.k1_group_1 B C D) (tptp.k1_group_1 B D C)) (= (tptp.k1_group_1 B C _let_1) (tptp.k1_group_1 B _let_1 C)))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (= (tptp.v5_group_1 B A) (forall ((C $$unsorted)) (=> (tptp.m2_subset_1 C tptp.k1_numbers tptp.k5_numbers) (=> (= (tptp.k6_group_1 A C B) (tptp.k2_group_1 A)) (= C tptp.np__0))))))))) true (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (not (tptp.v5_group_1 (tptp.k2_group_1 A) A)))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (let ((_let_1 (= C tptp.np__0))) (let ((_let_2 (= C (tptp.k7_group_1 A B)))) (let ((_let_3 (tptp.v5_group_1 B A))) (=> (tptp.m2_subset_1 C tptp.k1_numbers tptp.k5_numbers) (and (=> _let_3 (= _let_2 _let_1)) (=> (not _let_3) (= _let_2 (and (= (tptp.k6_group_1 A C B) (tptp.k2_group_1 A)) (not _let_1) (forall ((D $$unsorted)) (=> (tptp.m2_subset_1 D tptp.k1_numbers tptp.k5_numbers) (=> (= (tptp.k6_group_1 A D B) (tptp.k2_group_1 A)) (or (= D tptp.np__0) (tptp.r1_xreal_0 C D)))))))))))))))))) true true (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (= (tptp.k6_group_1 A (tptp.k7_group_1 A B) B) (tptp.k2_group_1 A)))))) true (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (= (tptp.k7_group_1 A (tptp.k2_group_1 A)) tptp.np__1))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (=> (= (tptp.k7_group_1 A B) tptp.np__1) (= B (tptp.k2_group_1 A))))))) (forall ((A $$unsorted)) (=> (tptp.m2_subset_1 A tptp.k1_numbers tptp.k5_numbers) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_group_1 B) (tptp.v4_group_1 B) (tptp.l1_group_1 B)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 B)) (=> (= (tptp.k6_group_1 B A C) (tptp.k2_group_1 B)) (tptp.r1_nat_1 (tptp.k7_group_1 B C) A)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (= (tptp.k8_group_1 A) (tptp.k1_card_1 (tptp.u1_struct_0 A))))) (forall ((A $$unsorted)) (=> (tptp.l1_struct_0 A) (= (tptp.v6_group_1 A) (tptp.v1_finset_1 (tptp.u1_struct_0 A))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (=> (tptp.v6_group_1 A) (forall ((B $$unsorted)) (=> (tptp.m2_subset_1 B tptp.k1_numbers tptp.k5_numbers) (= (= B (tptp.k9_group_1 A)) (exists ((C $$unsorted)) (and (tptp.v1_finset_1 C) (= C (tptp.u1_struct_0 A)) (= B (tptp.k4_card_1 C)))))))))) true true true (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (=> (tptp.v6_group_1 A) (tptp.r1_xreal_0 tptp.np__1 (tptp.k9_group_1 A))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_group_1 A)) (= (tptp.v7_group_1 A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (tptp.k1_group_1 A B C) (tptp.k1_group_1 A C B))))))))) true (and (not (tptp.v3_struct_0 _let_9)) _let_11 _let_10 (tptp.v7_group_1 _let_9) (tptp.l1_group_1 _let_9)) true (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.v7_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (tptp.k3_group_1 A (tptp.k10_group_1 A B C)) (tptp.k10_group_1 A (tptp.k3_group_1 A B) (tptp.k3_group_1 A C))))))))) (forall ((A $$unsorted)) (=> (tptp.m2_subset_1 A tptp.k1_numbers tptp.k5_numbers) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_group_1 B) (tptp.v4_group_1 B) (tptp.v7_group_1 B) (tptp.l1_group_1 B)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 B)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 B)) (= (tptp.k6_group_1 B A (tptp.k10_group_1 B C D)) (tptp.k10_group_1 B (tptp.k6_group_1 B A C) (tptp.k6_group_1 B A D))))))))))) (forall ((A $$unsorted)) (=> (tptp.v1_int_1 A) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_group_1 B) (tptp.v4_group_1 B) (tptp.v7_group_1 B) (tptp.l1_group_1 B)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 B)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 B)) (= (tptp.k6_group_1 B A (tptp.k10_group_1 B C D)) (tptp.k10_group_1 B (tptp.k6_group_1 B A C) (tptp.k6_group_1 B A D))))))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.g1_rlvect_1 (tptp.u1_struct_0 A) (tptp.u1_group_1 A) (tptp.k2_group_1 A)))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.v7_group_1 A) (tptp.l1_group_1 A)) (and (tptp.v3_rlvect_1 _let_1) (tptp.v4_rlvect_1 _let_1) (tptp.v5_rlvect_1 _let_1) (tptp.v6_rlvect_1 _let_1))))) (forall ((A $$unsorted)) (=> (tptp.l1_group_1 A) (tptp.l1_struct_0 A))) (exists ((A $$unsorted)) (tptp.l1_group_1 A)) (forall ((A $$unsorted)) (=> (tptp.l1_group_1 A) (=> (tptp.v1_group_1 A) (= A (tptp.g1_group_1 (tptp.u1_struct_0 A) (tptp.u1_group_1 A)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_group_1 A) (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (tptp.m1_subset_1 (tptp.k1_group_1 A B C) _let_1)))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_group_1 A)) (tptp.m1_subset_1 (tptp.k2_group_1 A) (tptp.u1_struct_0 A)))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A) (tptp.m1_subset_1 B _let_1)) (tptp.m1_subset_1 (tptp.k3_group_1 A B) _let_1)))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.k4_group_1 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (and (tptp.v1_funct_1 _let_2) (tptp.v1_funct_2 _let_2 _let_1 _let_1) (tptp.m2_relset_1 _let_2 _let_1 _let_1)))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.k2_zfmisc_1 _let_1 tptp.k5_numbers))) (let ((_let_3 (tptp.k5_group_1 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_group_1 A)) (and (tptp.v1_funct_1 _let_3) (tptp.v1_funct_2 _let_3 _let_2 _let_1) (tptp.m2_relset_1 _let_3 _let_2 _let_1))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A) (tptp.v1_int_1 B) (tptp.m1_subset_1 C _let_1)) (tptp.m1_subset_1 (tptp.k6_group_1 A B C) _let_1)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A) (tptp.m1_subset_1 B (tptp.u1_struct_0 A))) (tptp.m2_subset_1 (tptp.k7_group_1 A B) tptp.k1_numbers tptp.k5_numbers))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (tptp.v1_card_1 (tptp.k8_group_1 A)))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (tptp.m2_subset_1 (tptp.k9_group_1 A) tptp.k1_numbers tptp.k5_numbers))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v7_group_1 A) (tptp.l1_group_1 A) (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (tptp.m1_subset_1 (tptp.k10_group_1 A B C) _let_1)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v7_group_1 A) (tptp.l1_group_1 A) (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (= (tptp.k10_group_1 A B C) (tptp.k10_group_1 A C B))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v7_group_1 A) (tptp.l1_group_1 A) (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (= (tptp.k10_group_1 A B C) (tptp.k1_group_1 A B C))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.k2_zfmisc_1 _let_1 _let_1))) (let ((_let_3 (tptp.u1_group_1 A))) (=> (tptp.l1_group_1 A) (and (tptp.v1_funct_1 _let_3) (tptp.v1_funct_2 _let_3 _let_2 _let_1) (tptp.m2_relset_1 _let_3 _let_2 _let_1))))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.g1_group_1 A B))) (let ((_let_2 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_2 A) (tptp.m1_relset_1 B _let_2 A)) (and (tptp.v1_group_1 _let_1) (tptp.l1_group_1 _let_1)))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_1 A) (tptp.m1_relset_1 B _let_1 A)) (forall ((C $$unsorted) (D $$unsorted)) (=> (= (tptp.g1_group_1 A B) (tptp.g1_group_1 C D)) (and (= A C) (= B D))))))) (and _let_8 _let_4) (and _let_8 _let_4 (tptp.v3_rlvect_1 tptp.k1_vectsp_1) (tptp.v4_rlvect_1 tptp.k1_vectsp_1) (tptp.v5_rlvect_1 tptp.k1_vectsp_1) (tptp.v6_rlvect_1 tptp.k1_vectsp_1)) (exists ((A $$unsorted)) (and (tptp.l1_rlvect_1 A) (not (tptp.v3_struct_0 A)) (tptp.v1_rlvect_1 A) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A))) (exists ((A $$unsorted)) (and (tptp.l1_vectsp_1 A) (tptp.v1_vectsp_1 A))) (exists ((A $$unsorted)) (and (tptp.l1_vectsp_1 A) (not (tptp.v3_struct_0 A)) (tptp.v1_vectsp_1 A))) (exists ((A $$unsorted)) (and (tptp.l2_vectsp_1 A) (tptp.v2_vectsp_1 A))) (exists ((A $$unsorted)) (and (tptp.l2_vectsp_1 A) (not (tptp.v3_struct_0 A)) (tptp.v2_vectsp_1 A))) (exists ((A $$unsorted)) (and (tptp.l3_vectsp_1 A) (tptp.v3_vectsp_1 A))) (exists ((A $$unsorted)) (and (tptp.l3_vectsp_1 A) (not (tptp.v3_struct_0 A)) (tptp.v3_vectsp_1 A))) (and _let_7 _let_3) (and _let_7 _let_6 _let_3) (and _let_7 (tptp.v3_rlvect_1 tptp.k3_vectsp_1) (tptp.v4_rlvect_1 tptp.k3_vectsp_1) (tptp.v5_rlvect_1 tptp.k3_vectsp_1) (tptp.v6_rlvect_1 tptp.k3_vectsp_1) _let_6 (tptp.v4_group_1 tptp.k3_vectsp_1) (tptp.v7_group_1 tptp.k3_vectsp_1) _let_3 (tptp.v6_vectsp_1 tptp.k3_vectsp_1) (tptp.v7_vectsp_1 tptp.k3_vectsp_1) (tptp.v8_vectsp_1 tptp.k3_vectsp_1) (tptp.v9_vectsp_1 tptp.k3_vectsp_1) (not (tptp.v10_vectsp_1 tptp.k3_vectsp_1))) (forall ((A $$unsorted)) (let ((_let_1 (not (tptp.v3_struct_0 A)))) (=> (tptp.l3_vectsp_1 A) (=> (and _let_1 (tptp.v7_vectsp_1 A)) (and _let_1 (tptp.v4_vectsp_1 A) (tptp.v5_vectsp_1 A)))))) (forall ((A $$unsorted)) (let ((_let_1 (not (tptp.v3_struct_0 A)))) (=> (tptp.l3_vectsp_1 A) (=> (and _let_1 (tptp.v4_vectsp_1 A) (tptp.v5_vectsp_1 A)) (and _let_1 (tptp.v7_vectsp_1 A)))))) (forall ((A $$unsorted)) (let ((_let_1 (not (tptp.v3_struct_0 A)))) (=> (tptp.l1_vectsp_1 A) (=> (and _let_1 (tptp.v2_group_1 A)) (and _let_1 (tptp.v6_vectsp_1 A) (tptp.v8_vectsp_1 A)))))) (forall ((A $$unsorted)) (let ((_let_1 (not (tptp.v3_struct_0 A)))) (=> (tptp.l1_vectsp_1 A) (=> (and _let_1 (tptp.v6_vectsp_1 A) (tptp.v8_vectsp_1 A)) (and _let_1 (tptp.v2_group_1 A)))))) (exists ((A $$unsorted)) (and (tptp.l1_group_1 A) (not (tptp.v3_struct_0 A)) (tptp.v4_group_1 A) (tptp.v7_group_1 A))) (exists ((A $$unsorted)) (and (tptp.l1_vectsp_1 A) (not (tptp.v3_struct_0 A)) (tptp.v2_group_1 A) (tptp.v4_group_1 A) (tptp.v7_group_1 A) (tptp.v6_vectsp_1 A) (tptp.v8_vectsp_1 A))) (exists ((A $$unsorted)) (and (tptp.l3_vectsp_1 A) (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v2_group_1 A) (tptp.v4_group_1 A) (tptp.v7_group_1 A) (tptp.v3_vectsp_1 A) (tptp.v4_vectsp_1 A) (tptp.v5_vectsp_1 A) (tptp.v6_vectsp_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.v9_vectsp_1 A) (not (tptp.v10_vectsp_1 A)))) (forall ((A $$unsorted)) (=> (tptp.l1_struct_0 A) (exists ((B $$unsorted)) (and (tptp.l4_vectsp_1 B A) (tptp.v11_vectsp_1 B A))))) (forall ((A $$unsorted)) (=> (tptp.l1_struct_0 A) (exists ((B $$unsorted)) (and (tptp.l4_vectsp_1 B A) (not (tptp.v3_struct_0 B)) (tptp.v11_vectsp_1 B A))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (let ((_let_1 (tptp.g4_vectsp_1 A B C D E))) (let ((_let_2 (tptp.k2_zfmisc_1 (tptp.u1_struct_0 A) B))) (let ((_let_3 (tptp.k2_zfmisc_1 B B))) (=> (and (tptp.l1_struct_0 A) (not (tptp.v1_xboole_0 B)) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_3 B) (tptp.m1_relset_1 C _let_3 B) (tptp.m1_subset_1 D B) (tptp.v1_funct_1 E) (tptp.v1_funct_2 E _let_2 B) (tptp.m1_relset_1 E _let_2 B)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v11_vectsp_1 _let_1 A))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A)) (exists ((B $$unsorted)) (and (tptp.l4_vectsp_1 B A) (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v11_vectsp_1 B A) (tptp.v12_vectsp_1 B A))))) (forall ((A $$unsorted)) (let ((_let_1 (not (tptp.v3_struct_0 A)))) (=> (tptp.l1_vectsp_1 A) (=> (and _let_1 (tptp.v7_group_1 A) (tptp.v8_vectsp_1 A)) (and _let_1 (tptp.v6_vectsp_1 A)))))) (exists ((A $$unsorted)) (and (tptp.l1_rlvect_1 A) (not (tptp.v3_struct_0 A)) (tptp.v13_vectsp_1 A))) (exists ((A $$unsorted)) (and (tptp.l3_vectsp_1 A) (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v2_group_1 A) (tptp.v4_group_1 A) (tptp.v7_group_1 A) (tptp.v3_vectsp_1 A) (tptp.v4_vectsp_1 A) (tptp.v5_vectsp_1 A) (tptp.v6_vectsp_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.v9_vectsp_1 A) (not (tptp.v10_vectsp_1 A)) (tptp.v13_vectsp_1 A))) true true true true true (= tptp.k1_vectsp_1 (tptp.g1_rlvect_1 tptp.k1_numbers tptp.k33_binop_2 tptp.np__0)) true true true true true (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A (tptp.u1_struct_0 tptp.k1_vectsp_1)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 tptp.k1_vectsp_1)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k1_rlvect_1 tptp.k1_vectsp_1))) (let ((_let_2 (tptp.k4_rlvect_1 tptp.k1_vectsp_1 A B))) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 tptp.k1_vectsp_1)) (and (= _let_2 (tptp.k4_rlvect_1 tptp.k1_vectsp_1 B A)) (= (tptp.k4_rlvect_1 tptp.k1_vectsp_1 _let_2 C) (tptp.k4_rlvect_1 tptp.k1_vectsp_1 A (tptp.k4_rlvect_1 tptp.k1_vectsp_1 B C))) (= (tptp.k4_rlvect_1 tptp.k1_vectsp_1 A _let_1) A) (= (tptp.k4_rlvect_1 tptp.k1_vectsp_1 A (tptp.k5_rlvect_1 tptp.k1_vectsp_1 A)) _let_1)))))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.l1_rlvect_1 A))) (let ((_let_2 (not (tptp.v3_struct_0 A)))) (=> (and _let_2 _let_1) (= (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k2_rlvect_1 A B C))) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (and (= _let_1 (tptp.k2_rlvect_1 A C B)) (= (tptp.k2_rlvect_1 A _let_1 D) (tptp.k2_rlvect_1 A B (tptp.k2_rlvect_1 A C D))) (= (tptp.k2_rlvect_1 A B (tptp.k1_rlvect_1 A)) B) (exists ((E $$unsorted)) (and (tptp.m1_subset_1 E (tptp.u1_struct_0 A)) (= (tptp.k2_rlvect_1 A B E) (tptp.k1_rlvect_1 A)))))))))))) (and _let_2 (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) _let_1)))))) true true (forall ((A $$unsorted)) (=> (tptp.l1_vectsp_1 A) (= (tptp.k2_vectsp_1 A) (tptp.u1_vectsp_1 A)))) true (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l3_vectsp_1 A)) (= (tptp.v4_vectsp_1 A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (= (tptp.k1_group_1 A B (tptp.k2_rlvect_1 A C D)) (tptp.k2_rlvect_1 A (tptp.k1_group_1 A B C) (tptp.k1_group_1 A B D)))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l3_vectsp_1 A)) (= (tptp.v5_vectsp_1 A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (= (tptp.k1_group_1 A (tptp.k2_rlvect_1 A C D) B) (tptp.k2_rlvect_1 A (tptp.k1_group_1 A C B) (tptp.k1_group_1 A D B)))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_vectsp_1 A)) (= (tptp.v6_vectsp_1 A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (= (tptp.k1_group_1 A B (tptp.k2_group_1 A)) B)))))) true (= tptp.k3_vectsp_1 (tptp.g3_vectsp_1 tptp.k1_numbers tptp.k33_binop_2 tptp.k35_binop_2 tptp.np__1 tptp.np__0)) true true (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l3_vectsp_1 A)) (= (tptp.v7_vectsp_1 A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k2_rlvect_1 A C D))) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (and (= (tptp.k1_group_1 A B _let_1) (tptp.k2_rlvect_1 A (tptp.k1_group_1 A B C) (tptp.k1_group_1 A B D))) (= (tptp.k1_group_1 A _let_1 B) (tptp.k2_rlvect_1 A (tptp.k1_group_1 A C B) (tptp.k1_group_1 A D B)))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_vectsp_1 A)) (= (tptp.v8_vectsp_1 A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (= (tptp.k1_group_1 A (tptp.k2_group_1 A) B) B)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l2_vectsp_1 A)) (= (tptp.v9_vectsp_1 A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (not (and (not (= B (tptp.k1_rlvect_1 A))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (not (= (tptp.k1_group_1 A B C) (tptp.k2_group_1 A)))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l2_vectsp_1 A)) (= (tptp.v10_vectsp_1 A) (= (tptp.k1_rlvect_1 A) (tptp.k2_group_1 A))))) true true true true true true true true true true true true (= _let_5 tptp.np__1) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A (tptp.u1_struct_0 tptp.k3_vectsp_1)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 tptp.k3_vectsp_1)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k10_group_1 tptp.k3_vectsp_1 B A))) (let ((_let_2 (tptp.k4_rlvect_1 tptp.k3_vectsp_1 B C))) (let ((_let_3 (tptp.k10_group_1 tptp.k3_vectsp_1 A B))) (let ((_let_4 (tptp.k1_rlvect_1 tptp.k3_vectsp_1))) (let ((_let_5 (tptp.k4_rlvect_1 tptp.k3_vectsp_1 A B))) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 tptp.k3_vectsp_1)) (and (= _let_5 (tptp.k4_rlvect_1 tptp.k3_vectsp_1 B A)) (= (tptp.k4_rlvect_1 tptp.k3_vectsp_1 _let_5 C) (tptp.k4_rlvect_1 tptp.k3_vectsp_1 A _let_2)) (= (tptp.k4_rlvect_1 tptp.k3_vectsp_1 A _let_4) A) (= (tptp.k4_rlvect_1 tptp.k3_vectsp_1 A (tptp.k5_rlvect_1 tptp.k3_vectsp_1 A)) _let_4) (= _let_3 _let_1) (= (tptp.k10_group_1 tptp.k3_vectsp_1 _let_3 C) (tptp.k10_group_1 tptp.k3_vectsp_1 A (tptp.k10_group_1 tptp.k3_vectsp_1 B C))) (= (tptp.k10_group_1 tptp.k3_vectsp_1 (tptp.k2_group_1 tptp.k3_vectsp_1) A) A) (not (and (not (= A _let_4)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 tptp.k3_vectsp_1)) (not (= (tptp.k10_group_1 tptp.k3_vectsp_1 A D) (tptp.k2_group_1 tptp.k3_vectsp_1))))))) (= (tptp.k10_group_1 tptp.k3_vectsp_1 A _let_2) (tptp.k4_rlvect_1 tptp.k3_vectsp_1 _let_3 (tptp.k10_group_1 tptp.k3_vectsp_1 A C))) (= (tptp.k10_group_1 tptp.k3_vectsp_1 _let_2 A) (tptp.k4_rlvect_1 tptp.k3_vectsp_1 _let_1 (tptp.k10_group_1 tptp.k3_vectsp_1 C A))))))))))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.l3_vectsp_1 A))) (let ((_let_2 (not (tptp.v3_struct_0 A)))) (=> (and _let_2 _let_1) (= (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k2_rlvect_1 A C D))) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (and (not (and (not (= B (tptp.k1_rlvect_1 A))) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.u1_struct_0 A)) (not (= (tptp.k1_group_1 A B E) (tptp.k2_group_1 A))))))) (= (tptp.k1_group_1 A B _let_1) (tptp.k2_rlvect_1 A (tptp.k1_group_1 A B C) (tptp.k1_group_1 A B D))) (= (tptp.k1_group_1 A _let_1 B) (tptp.k2_rlvect_1 A (tptp.k1_group_1 A C B) (tptp.k1_group_1 A D B))))))))))) (and _let_2 (tptp.v7_vectsp_1 A) (tptp.v9_vectsp_1 A) _let_1)))))) true true true true true true true true true true (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_group_1 A) (tptp.v7_group_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.v9_vectsp_1 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (=> (= (tptp.k10_group_1 A B C) (tptp.k10_group_1 A B D)) (or (= B (tptp.k1_rlvect_1 A)) (= C D))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_group_1 A) (tptp.v7_group_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.v9_vectsp_1 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (=> (not (= B (tptp.k1_rlvect_1 A))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (= C (tptp.k4_vectsp_1 A B)) (= (tptp.k10_group_1 A B C) (tptp.k2_group_1 A)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_group_1 A) (tptp.v7_group_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.v9_vectsp_1 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (tptp.k5_vectsp_1 A B C) (tptp.k10_group_1 A B (tptp.k4_vectsp_1 A C))))))))) true true (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_vectsp_1 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k1_rlvect_1 A))) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (= (tptp.k1_group_1 A B _let_1) _let_1)))))) true true (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v5_vectsp_1 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k1_rlvect_1 A))) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (= (tptp.k1_group_1 A _let_1 B) _let_1)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_vectsp_1 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (tptp.k1_group_1 A B (tptp.k5_rlvect_1 A C)) (tptp.k5_rlvect_1 A (tptp.k1_group_1 A B C))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v5_vectsp_1 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (tptp.k1_group_1 A (tptp.k5_rlvect_1 A B) C) (tptp.k5_rlvect_1 A (tptp.k1_group_1 A B C))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v7_vectsp_1 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (tptp.k1_group_1 A (tptp.k5_rlvect_1 A B) (tptp.k5_rlvect_1 A C)) (tptp.k1_group_1 A B C)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_vectsp_1 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (= (tptp.k1_group_1 A B (tptp.k6_rlvect_1 A C D)) (tptp.k6_rlvect_1 A (tptp.k1_group_1 A B C) (tptp.k1_group_1 A B D))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v7_group_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.v9_vectsp_1 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k1_rlvect_1 A))) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (= (tptp.k10_group_1 A B C) _let_1) (or (= B _let_1) (= C _let_1)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v5_vectsp_1 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (= (tptp.k1_group_1 A (tptp.k6_rlvect_1 A B C) D) (tptp.k6_rlvect_1 A (tptp.k1_group_1 A B D) (tptp.k1_group_1 A C D))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_struct_0 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.l4_vectsp_1 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (=> (tptp.m1_subset_1 D _let_1) (= (tptp.k6_vectsp_1 A B C D) (tptp.k2_binop_1 (tptp.u1_struct_0 A) _let_1 _let_1 (tptp.u2_vectsp_1 A B) C D))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_rlvect_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_1 _let_1) (tptp.m2_relset_1 B _let_1 _let_1)) (= (= B (tptp.k7_vectsp_1 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 C _let_1) (= (tptp.k8_funct_2 _let_1 _let_1 B C) (tptp.k5_rlvect_1 A C))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.l4_vectsp_1 B A)) (= (tptp.v12_vectsp_1 B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.u1_struct_0 B)) (forall ((F $$unsorted)) (let ((_let_1 (tptp.k6_vectsp_1 A B D E))) (let ((_let_2 (tptp.k6_vectsp_1 A B C E))) (=> (tptp.m1_subset_1 F (tptp.u1_struct_0 B)) (and (= (tptp.k6_vectsp_1 A B C (tptp.k2_rlvect_1 B E F)) (tptp.k2_rlvect_1 B _let_2 (tptp.k6_vectsp_1 A B C F))) (= (tptp.k6_vectsp_1 A B (tptp.k2_rlvect_1 A C D) E) (tptp.k2_rlvect_1 B _let_2 _let_1)) (= (tptp.k6_vectsp_1 A B (tptp.k1_group_1 A C D) E) (tptp.k6_vectsp_1 A B C _let_1)) (= (tptp.k6_vectsp_1 A B (tptp.k2_group_1 A) E) E))))))))))))))))) true true true true true true true true true true true true true (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.v4_rlvect_1 C) (tptp.v5_rlvect_1 C) (tptp.v6_rlvect_1 C) (tptp.v12_vectsp_1 C A) (tptp.l4_vectsp_1 C A)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k1_rlvect_1 C))) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 C)) (and (= (tptp.k6_vectsp_1 A C (tptp.k1_rlvect_1 A) D) _let_1) (= (tptp.k6_vectsp_1 A C (tptp.k5_rlvect_1 A (tptp.k2_group_1 A)) D) (tptp.k5_rlvect_1 C D)) (= (tptp.k6_vectsp_1 A C B _let_1) _let_1))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v7_group_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.v9_vectsp_1 A) (not (tptp.v10_vectsp_1 A)) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.v4_rlvect_1 C) (tptp.v5_rlvect_1 C) (tptp.v6_rlvect_1 C) (tptp.v12_vectsp_1 C A) (tptp.l4_vectsp_1 C A)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k1_rlvect_1 C))) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 C)) (= (= (tptp.k6_vectsp_1 A C B D) _let_1) (or (= B (tptp.k1_rlvect_1 A)) (= D _let_1)))))))))))) true true (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.l1_rlvect_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (= (tptp.k2_rlvect_1 A B C) (tptp.k1_rlvect_1 A)) (= (tptp.k5_rlvect_1 A B) C)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.l1_rlvect_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k2_rlvect_1 A D C))) (let ((_let_2 (tptp.k5_rlvect_1 A C))) (let ((_let_3 (tptp.k2_rlvect_1 A D _let_2))) (let ((_let_4 (tptp.k6_rlvect_1 A C D))) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (and (= (tptp.k5_rlvect_1 A (tptp.k2_rlvect_1 A C D)) (tptp.k6_rlvect_1 A (tptp.k5_rlvect_1 A D) C)) (= (tptp.k5_rlvect_1 A _let_3) _let_4) (= (tptp.k5_rlvect_1 A _let_4) _let_3) (= (tptp.k5_rlvect_1 A (tptp.k6_rlvect_1 A _let_2 D)) _let_1) (= (tptp.k6_rlvect_1 A B _let_1) (tptp.k6_rlvect_1 A (tptp.k6_rlvect_1 A B C) D))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.l1_rlvect_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k1_rlvect_1 A))) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (and (= (tptp.k6_rlvect_1 A _let_1 B) (tptp.k5_rlvect_1 A B)) (= (tptp.k6_rlvect_1 A B _let_1) B))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.l1_rlvect_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k1_rlvect_1 A))) (let ((_let_2 (= (tptp.k6_rlvect_1 A B C) _let_1))) (let ((_let_3 (= B C))) (let ((_let_4 (= (tptp.k2_rlvect_1 A B (tptp.k5_rlvect_1 A C)) _let_1))) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (and (=> _let_4 _let_3) (=> _let_3 _let_4) (=> _let_2 _let_3) (=> _let_3 _let_2)))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v7_group_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.v9_vectsp_1 A) (not (tptp.v10_vectsp_1 A)) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.v4_rlvect_1 C) (tptp.v5_rlvect_1 C) (tptp.v6_rlvect_1 C) (tptp.v12_vectsp_1 C A) (tptp.l4_vectsp_1 C A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 C)) (=> (not (= B (tptp.k1_rlvect_1 A))) (= (tptp.k6_vectsp_1 A C (tptp.k4_vectsp_1 A B) (tptp.k6_vectsp_1 A C B D)) D)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v12_vectsp_1 B A) (tptp.l4_vectsp_1 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 B)) (forall ((E $$unsorted)) (let ((_let_1 (tptp.k6_vectsp_1 A B (tptp.k5_rlvect_1 A C) D))) (let ((_let_2 (tptp.k6_vectsp_1 A B C D))) (=> (tptp.m1_subset_1 E (tptp.u1_struct_0 B)) (and (= (tptp.k5_rlvect_1 B _let_2) _let_1) (= (tptp.k6_rlvect_1 B E _let_2) (tptp.k2_rlvect_1 B E _let_1))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v6_vectsp_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v12_vectsp_1 B A) (tptp.l4_vectsp_1 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 B)) (= (tptp.k6_vectsp_1 A B C (tptp.k5_rlvect_1 B D)) (tptp.k5_rlvect_1 B (tptp.k6_vectsp_1 A B C D))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v6_vectsp_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v12_vectsp_1 B A) (tptp.l4_vectsp_1 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 B)) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.u1_struct_0 B)) (= (tptp.k6_vectsp_1 A B C (tptp.k6_rlvect_1 B D E)) (tptp.k6_rlvect_1 B (tptp.k6_vectsp_1 A B C D) (tptp.k6_vectsp_1 A B C E))))))))))))) true true (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v7_group_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.v9_vectsp_1 A) (not (tptp.v10_vectsp_1 A)) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (=> (not (= B (tptp.k1_rlvect_1 A))) (= (tptp.k4_vectsp_1 A (tptp.k4_vectsp_1 A B)) B)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v7_group_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.v9_vectsp_1 A) (not (tptp.v10_vectsp_1 A)) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k1_rlvect_1 A))) (let ((_let_2 (tptp.k4_vectsp_1 A B))) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (=> (not (= B _let_1)) (and (not (= _let_2 _let_1)) (not (= (tptp.k5_rlvect_1 A _let_2) _let_1)))))))))) true true true (not (= (tptp.k4_rlvect_1 tptp.k3_vectsp_1 _let_5 _let_5) (tptp.k1_rlvect_1 tptp.k3_vectsp_1))) true (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_rlvect_1 A)) (= (tptp.v13_vectsp_1 A) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k1_rlvect_1 A))) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (=> (= (tptp.k2_rlvect_1 A B B) _let_1) (= B _let_1)))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k2_group_1 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v7_group_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.v9_vectsp_1 A) (not (tptp.v10_vectsp_1 A)) (tptp.l3_vectsp_1 A)) (= (tptp.v13_vectsp_1 A) (not (= (tptp.k2_rlvect_1 A _let_1 _let_1) (tptp.k1_rlvect_1 A))))))) true true (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.l1_rlvect_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (tptp.k5_rlvect_1 A (tptp.k6_rlvect_1 A B C)) (tptp.k6_rlvect_1 A C B)))))))) true true (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.l1_rlvect_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (=> (= (tptp.k6_rlvect_1 A B C) (tptp.k1_rlvect_1 A)) (= B C)))))))) true (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.l1_rlvect_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k1_rlvect_1 A))) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (=> (= (tptp.k5_rlvect_1 A B) _let_1) (= B _let_1))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.l1_rlvect_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k1_rlvect_1 A))) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (=> (= (tptp.k6_rlvect_1 A B C) _let_1) (= (tptp.k6_rlvect_1 A C B) _let_1))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v7_group_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.v9_vectsp_1 A) (not (tptp.v10_vectsp_1 A)) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k1_rlvect_1 A))) (let ((_let_2 (or (= B _let_1) (= D (tptp.k10_group_1 A C (tptp.k4_vectsp_1 A B)))))) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (and (=> (= (tptp.k6_rlvect_1 A (tptp.k10_group_1 A B D) C) _let_1) _let_2) (=> (= (tptp.k6_rlvect_1 A C (tptp.k10_group_1 A D B)) _let_1) _let_2)))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.l1_rlvect_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (tptp.k2_rlvect_1 A B C) (tptp.k5_rlvect_1 A (tptp.k2_rlvect_1 A (tptp.k5_rlvect_1 A C) (tptp.k5_rlvect_1 A B)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.l1_rlvect_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (= (tptp.k6_rlvect_1 A (tptp.k2_rlvect_1 A C B) (tptp.k2_rlvect_1 A D B)) (tptp.k6_rlvect_1 A C D)))))))))) true (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.l1_rlvect_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (tptp.k5_rlvect_1 A (tptp.k2_rlvect_1 A (tptp.k5_rlvect_1 A B) C)) (tptp.k2_rlvect_1 A (tptp.k5_rlvect_1 A C) B)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.l1_rlvect_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (= (tptp.k6_rlvect_1 A (tptp.k6_rlvect_1 A B C) D) (tptp.k6_rlvect_1 A (tptp.k6_rlvect_1 A B D) C)))))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.g1_group_1 (tptp.u1_struct_0 A) (tptp.u1_rlvect_1 A)))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.l1_rlvect_1 A)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v3_group_1 _let_1) (tptp.v4_group_1 _let_1) (tptp.v7_group_1 _let_1) (tptp.l1_group_1 _let_1))))) (forall ((A $$unsorted)) (=> (tptp.l1_vectsp_1 A) (tptp.l1_group_1 A))) (exists ((A $$unsorted)) (tptp.l1_vectsp_1 A)) (forall ((A $$unsorted)) (=> (tptp.l2_vectsp_1 A) (and (tptp.l1_vectsp_1 A) (tptp.l2_struct_0 A)))) (exists ((A $$unsorted)) (tptp.l2_vectsp_1 A)) (forall ((A $$unsorted)) (=> (tptp.l3_vectsp_1 A) (and (tptp.l1_rlvect_1 A) (tptp.l2_vectsp_1 A)))) (exists ((A $$unsorted)) (tptp.l3_vectsp_1 A)) (forall ((A $$unsorted)) (=> (tptp.l1_struct_0 A) (forall ((B $$unsorted)) (=> (tptp.l4_vectsp_1 B A) (tptp.l1_rlvect_1 B))))) (forall ((A $$unsorted)) (=> (tptp.l1_struct_0 A) (exists ((B $$unsorted)) (tptp.l4_vectsp_1 B A)))) (forall ((A $$unsorted)) (=> (tptp.l1_vectsp_1 A) (=> (tptp.v1_vectsp_1 A) (= A (tptp.g1_vectsp_1 (tptp.u1_struct_0 A) (tptp.u1_group_1 A) (tptp.u1_vectsp_1 A)))))) (forall ((A $$unsorted)) (=> (tptp.l2_vectsp_1 A) (=> (tptp.v2_vectsp_1 A) (= A (tptp.g2_vectsp_1 (tptp.u1_struct_0 A) (tptp.u1_group_1 A) (tptp.u1_vectsp_1 A) (tptp.u2_struct_0 A)))))) (forall ((A $$unsorted)) (=> (tptp.l3_vectsp_1 A) (=> (tptp.v3_vectsp_1 A) (= A (tptp.g3_vectsp_1 (tptp.u1_struct_0 A) (tptp.u1_rlvect_1 A) (tptp.u1_group_1 A) (tptp.u1_vectsp_1 A) (tptp.u2_struct_0 A)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.l1_struct_0 A) (tptp.l4_vectsp_1 B A)) (=> (tptp.v11_vectsp_1 B A) (= B (tptp.g4_vectsp_1 A (tptp.u1_struct_0 B) (tptp.u1_rlvect_1 B) (tptp.u2_struct_0 B) (tptp.u2_vectsp_1 A B)))))) (and _let_4 (tptp.l1_rlvect_1 tptp.k1_vectsp_1)) (forall ((A $$unsorted)) (=> (tptp.l1_vectsp_1 A) (tptp.m1_subset_1 (tptp.k2_vectsp_1 A) (tptp.u1_struct_0 A)))) (and _let_3 (tptp.l3_vectsp_1 tptp.k3_vectsp_1)) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_group_1 A) (tptp.v7_group_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.v9_vectsp_1 A) (tptp.l3_vectsp_1 A) (tptp.m1_subset_1 B _let_1)) (tptp.m1_subset_1 (tptp.k4_vectsp_1 A B) _let_1)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_group_1 A) (tptp.v7_group_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.v9_vectsp_1 A) (tptp.l3_vectsp_1 A) (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (tptp.m1_subset_1 (tptp.k5_vectsp_1 A B C) _let_1)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_struct_0 A) (not (tptp.v3_struct_0 B)) (tptp.l4_vectsp_1 B A) (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (tptp.m1_subset_1 D _let_1)) (tptp.m1_subset_1 (tptp.k6_vectsp_1 A B C D) _let_1)))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.k7_vectsp_1 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_rlvect_1 A)) (and (tptp.v1_funct_1 _let_2) (tptp.v1_funct_2 _let_2 _let_1 _let_1) (tptp.m2_relset_1 _let_2 _let_1 _let_1)))))) (forall ((A $$unsorted)) (=> (tptp.l1_vectsp_1 A) (tptp.m1_subset_1 (tptp.u1_vectsp_1 A) (tptp.u1_struct_0 A)))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.k2_zfmisc_1 (tptp.u1_struct_0 A) _let_1))) (let ((_let_3 (tptp.u2_vectsp_1 A B))) (=> (and (tptp.l1_struct_0 A) (tptp.l4_vectsp_1 B A)) (and (tptp.v1_funct_1 _let_3) (tptp.v1_funct_2 _let_3 _let_2 _let_1) (tptp.m2_relset_1 _let_3 _let_2 _let_1))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.g1_vectsp_1 A B C))) (let ((_let_2 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_2 A) (tptp.m1_relset_1 B _let_2 A) (tptp.m1_subset_1 C A)) (and (tptp.v1_vectsp_1 _let_1) (tptp.l1_vectsp_1 _let_1)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_1 A) (tptp.m1_relset_1 B _let_1 A) (tptp.m1_subset_1 C A)) (forall ((D $$unsorted) (E $$unsorted) (F $$unsorted)) (=> (= (tptp.g1_vectsp_1 A B C) (tptp.g1_vectsp_1 D E F)) (and (= A D) (= B E) (= C F))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.g2_vectsp_1 A B C D))) (let ((_let_2 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_2 A) (tptp.m1_relset_1 B _let_2 A) (tptp.m1_subset_1 C A) (tptp.m1_subset_1 D A)) (and (tptp.v2_vectsp_1 _let_1) (tptp.l2_vectsp_1 _let_1)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_1 A) (tptp.m1_relset_1 B _let_1 A) (tptp.m1_subset_1 C A) (tptp.m1_subset_1 D A)) (forall ((E $$unsorted) (F $$unsorted) (G $$unsorted) (H $$unsorted)) (=> (= (tptp.g2_vectsp_1 A B C D) (tptp.g2_vectsp_1 E F G H)) (and (= A E) (= B F) (= C G) (= D H))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (let ((_let_1 (tptp.g3_vectsp_1 A B C D E))) (let ((_let_2 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_2 A) (tptp.m1_relset_1 B _let_2 A) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 A) (tptp.m1_relset_1 C _let_2 A) (tptp.m1_subset_1 D A) (tptp.m1_subset_1 E A)) (and (tptp.v3_vectsp_1 _let_1) (tptp.l3_vectsp_1 _let_1)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_1 A) (tptp.m1_relset_1 B _let_1 A) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_1 A) (tptp.m1_relset_1 C _let_1 A) (tptp.m1_subset_1 D A) (tptp.m1_subset_1 E A)) (forall ((F $$unsorted) (G $$unsorted) (H $$unsorted) (I $$unsorted) (J $$unsorted)) (=> (= (tptp.g3_vectsp_1 A B C D E) (tptp.g3_vectsp_1 F G H I J)) (and (= A F) (= B G) (= C H) (= D I) (= E J))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (let ((_let_1 (tptp.g4_vectsp_1 A B C D E))) (let ((_let_2 (tptp.k2_zfmisc_1 (tptp.u1_struct_0 A) B))) (let ((_let_3 (tptp.k2_zfmisc_1 B B))) (=> (and (tptp.l1_struct_0 A) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_3 B) (tptp.m1_relset_1 C _let_3 B) (tptp.m1_subset_1 D B) (tptp.v1_funct_1 E) (tptp.v1_funct_2 E _let_2 B) (tptp.m1_relset_1 E _let_2 B)) (and (tptp.v11_vectsp_1 _let_1 A) (tptp.l4_vectsp_1 _let_1 A))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 (tptp.u1_struct_0 A) B))) (let ((_let_2 (tptp.k2_zfmisc_1 B B))) (=> (and (tptp.l1_struct_0 A) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 B) (tptp.m1_relset_1 C _let_2 B) (tptp.m1_subset_1 D B) (tptp.v1_funct_1 E) (tptp.v1_funct_2 E _let_1 B) (tptp.m1_relset_1 E _let_1 B)) (forall ((F $$unsorted) (G $$unsorted) (H $$unsorted) (I $$unsorted) (J $$unsorted)) (=> (= (tptp.g4_vectsp_1 A B C D E) (tptp.g4_vectsp_1 F G H I J)) (and (= A F) (= B G) (= C H) (= D I) (= E J)))))))) (exists ((A $$unsorted)) (and (tptp.l1_rlvect_1 A) (not (tptp.v3_struct_0 A)) (tptp.v1_rlvect_1 A) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v1_realset2 A) (tptp.v2_realset2 A))) (exists ((A $$unsorted)) (and (tptp.l1_struct_0 A) (tptp.v3_realset2 A))) (exists ((A $$unsorted)) (and (tptp.l3_vectsp_1 A) (tptp.v3_vectsp_1 A) (not (tptp.v3_realset2 A)))) (exists ((A $$unsorted)) (and (tptp.l3_vectsp_1 A) (tptp.v3_vectsp_1 A) (tptp.v4_realset2 A))) (forall ((A $$unsorted)) (=> (tptp.l1_rlvect_1 A) (= (tptp.v1_realset2 A) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u2_struct_0 A))) (let ((_let_2 (tptp.u1_rlvect_1 A))) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (and (= (tptp.k1_binop_1 _let_2 B _let_1) B) (= (tptp.k1_binop_1 _let_2 _let_1 B) B))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_rlvect_1 A) (= (tptp.v2_realset2 A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (exists ((C $$unsorted)) (let ((_let_1 (tptp.u2_struct_0 A))) (let ((_let_2 (tptp.u1_rlvect_1 A))) (and (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (tptp.k1_binop_1 _let_2 B C) _let_1) (= (tptp.k1_binop_1 _let_2 C B) _let_1)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_rlvect_1 A)) (= (tptp.v4_rlvect_1 A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_rlvect_1 A))) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (= (tptp.k1_binop_1 _let_1 (tptp.k1_binop_1 _let_1 B C) D) (tptp.k1_binop_1 _let_1 B (tptp.k1_binop_1 _let_1 C D))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_rlvect_1 A)) (= (tptp.v3_rlvect_1 A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_rlvect_1 A))) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (tptp.k1_binop_1 _let_1 B C) (tptp.k1_binop_1 _let_1 C B)))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_struct_0 A) (= (tptp.v3_realset2 A) (tptp.v1_realset1 (tptp.u1_struct_0 A))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_realset1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_1 A) (tptp.m2_relset_1 B _let_1 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_1 A) (tptp.m2_relset_1 C _let_1 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D A) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.k4_xboole_0 A (tptp.k5_realset1 A D))) (forall ((F $$unsorted)) (=> (and (tptp.v3_vectsp_1 F) (not (tptp.v3_realset2 F)) (tptp.l3_vectsp_1 F)) (= (= F (tptp.k1_realset2 A B C D E)) (and (= A (tptp.u1_struct_0 F)) (= B (tptp.u1_rlvect_1 F)) (= C (tptp.u1_group_1 F)) (= D (tptp.u2_struct_0 F)) (= E (tptp.u1_vectsp_1 F)))))))))))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_struct_0 A) (= (tptp.v3_realset2 A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= B C)))))))) (forall ((A $$unsorted)) (=> (tptp.l3_vectsp_1 A) (= (tptp.v4_realset2 A) (exists ((B $$unsorted)) (and (not (tptp.v1_realset1 B)) (exists ((C $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 B B))) (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_1 B) (tptp.m2_relset_1 C _let_1 B) (exists ((D $$unsorted)) (and (tptp.m1_subset_1 D B) (exists ((E $$unsorted)) (and (tptp.m3_realset1 E B D) (exists ((F $$unsorted)) (let ((_let_1 (tptp.g1_rlvect_1 B C D))) (and (tptp.m1_subset_1 F (tptp.k4_xboole_0 B (tptp.k5_realset1 B D))) (= A (tptp.k1_realset2 B C E D F)) (not (tptp.v3_struct_0 _let_1)) (tptp.v3_rlvect_1 _let_1) (tptp.v4_rlvect_1 _let_1) (tptp.v1_realset2 _let_1) (tptp.v2_realset2 _let_1) (tptp.l1_rlvect_1 _let_1) (forall ((G $$unsorted)) (=> (not (tptp.v1_xboole_0 G)) (forall ((H $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 G G))) (=> (and (tptp.v1_funct_1 H) (tptp.v1_funct_2 H _let_1 G) (tptp.m2_relset_1 H _let_1 G)) (forall ((I $$unsorted)) (let ((_let_1 (tptp.g1_rlvect_1 G H I))) (=> (tptp.m1_subset_1 I G) (=> (and (= G (tptp.k4_xboole_0 B (tptp.k5_realset1 B D))) (= I F) (= H (tptp.k4_realset1 B D E))) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v3_rlvect_1 _let_1) (tptp.v4_rlvect_1 _let_1) (tptp.v1_realset2 _let_1) (tptp.v2_realset2 _let_1) (tptp.l1_rlvect_1 _let_1))))))))))) (forall ((G $$unsorted)) (=> (tptp.m1_subset_1 G B) (forall ((H $$unsorted)) (=> (tptp.m1_subset_1 H B) (forall ((I $$unsorted)) (let ((_let_1 (tptp.k4_tarski H I))) (let ((_let_2 (tptp.k1_funct_1 E (tptp.k4_tarski G I)))) (let ((_let_3 (tptp.k4_tarski G H))) (=> (tptp.m1_subset_1 I B) (and (= (tptp.k1_funct_1 E (tptp.k4_tarski G (tptp.k1_funct_1 C _let_1))) (tptp.k1_funct_1 C (tptp.k4_tarski (tptp.k1_funct_1 E _let_3) _let_2))) (= (tptp.k1_funct_1 E (tptp.k4_tarski (tptp.k1_funct_1 C _let_3) I)) (tptp.k1_funct_1 C (tptp.k4_tarski _let_2 (tptp.k1_funct_1 E _let_1))))))))))))))))))))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v4_realset2 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (not (tptp.v1_realset1 B)) (= (= B (tptp.k2_realset2 A)) (exists ((C $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 B B))) (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_1 B) (tptp.m2_relset_1 C _let_1 B) (exists ((D $$unsorted)) (and (tptp.m1_subset_1 D B) (exists ((E $$unsorted)) (and (tptp.m3_realset1 E B D) (exists ((F $$unsorted)) (and (tptp.m1_subset_1 F (tptp.k4_xboole_0 B (tptp.k5_realset1 B D))) (= A (tptp.k1_realset2 B C E D F)))))))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v4_realset2 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k2_realset2 A))) (let ((_let_2 (tptp.k2_zfmisc_1 _let_1 _let_1))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_2 _let_1) (tptp.m2_relset_1 B _let_2 _let_1)) (= (= B (tptp.k3_realset2 A)) (exists ((C $$unsorted)) (and (tptp.m1_subset_1 C (tptp.k2_realset2 A)) (exists ((D $$unsorted)) (and (tptp.m3_realset1 D (tptp.k2_realset2 A) C) (exists ((E $$unsorted)) (let ((_let_1 (tptp.k2_realset2 A))) (and (tptp.m1_subset_1 E (tptp.k4_xboole_0 _let_1 (tptp.k5_realset1 _let_1 C))) (= A (tptp.k1_realset2 _let_1 B D C E)))))))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v4_realset2 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k2_realset2 A)) (= (= B (tptp.k4_realset2 A)) (exists ((C $$unsorted)) (and (tptp.m3_realset1 C (tptp.k2_realset2 A) B) (exists ((D $$unsorted)) (let ((_let_1 (tptp.k2_realset2 A))) (and (tptp.m1_subset_1 D (tptp.k4_xboole_0 _let_1 (tptp.k5_realset1 _let_1 B))) (= A (tptp.k1_realset2 _let_1 (tptp.k3_realset2 A) C B D)))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v4_realset2 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (tptp.m3_realset1 B (tptp.k2_realset2 A) (tptp.k4_realset2 A)) (= (= B (tptp.k5_realset2 A)) (exists ((C $$unsorted)) (let ((_let_1 (tptp.k4_realset2 A))) (let ((_let_2 (tptp.k2_realset2 A))) (and (tptp.m1_subset_1 C (tptp.k4_xboole_0 _let_2 (tptp.k5_realset1 _let_2 _let_1))) (= A (tptp.k1_realset2 _let_2 (tptp.k3_realset2 A) B _let_1 C))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v4_realset2 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k4_realset2 A))) (let ((_let_2 (tptp.k2_realset2 A))) (=> (tptp.m1_subset_1 B (tptp.k4_xboole_0 _let_2 (tptp.k5_realset1 _let_2 _let_1))) (= (= B (tptp.k6_realset2 A)) (= A (tptp.k1_realset2 _let_2 (tptp.k3_realset2 A) (tptp.k5_realset2 A) _let_1 B))))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.g1_rlvect_1 (tptp.k2_realset2 A) (tptp.k3_realset2 A) (tptp.k4_realset2 A)))) (=> (and (tptp.v4_realset2 A) (tptp.l3_vectsp_1 A)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v3_rlvect_1 _let_1) (tptp.v4_rlvect_1 _let_1) (tptp.v1_realset2 _let_1) (tptp.v2_realset2 _let_1) (tptp.l1_rlvect_1 _let_1))))) (forall ((A $$unsorted)) (=> (and (tptp.v4_realset2 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 B B))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_1 B) (tptp.m2_relset_1 C _let_1 B)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.g1_rlvect_1 B C D))) (let ((_let_2 (tptp.k4_realset2 A))) (let ((_let_3 (tptp.k2_realset2 A))) (=> (tptp.m1_subset_1 D B) (=> (and (= B (tptp.k4_xboole_0 _let_3 (tptp.k5_realset1 _let_3 _let_2))) (= D (tptp.k6_realset2 A)) (= C (tptp.k4_realset1 _let_3 _let_2 (tptp.k5_realset2 A)))) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v3_rlvect_1 _let_1) (tptp.v4_rlvect_1 _let_1) (tptp.v1_realset2 _let_1) (tptp.v2_realset2 _let_1) (tptp.l1_rlvect_1 _let_1))))))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v4_realset2 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k2_realset2 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k2_realset2 A)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k4_tarski C D))) (let ((_let_2 (tptp.k5_realset2 A))) (let ((_let_3 (tptp.k1_funct_1 _let_2 (tptp.k4_tarski B D)))) (let ((_let_4 (tptp.k3_realset2 A))) (let ((_let_5 (tptp.k4_tarski B C))) (=> (tptp.m1_subset_1 D (tptp.k2_realset2 A)) (and (= (tptp.k1_funct_1 _let_2 (tptp.k4_tarski B (tptp.k1_funct_1 _let_4 _let_1))) (tptp.k1_funct_1 _let_4 (tptp.k4_tarski (tptp.k1_funct_1 _let_2 _let_5) _let_3))) (= (tptp.k1_funct_1 _let_2 (tptp.k4_tarski (tptp.k1_funct_1 _let_4 _let_5) D)) (tptp.k1_funct_1 _let_4 (tptp.k4_tarski _let_3 (tptp.k1_funct_1 _let_2 _let_1)))))))))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v4_realset2 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k2_realset2 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k2_realset2 A)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k3_realset2 A))) (let ((_let_2 (tptp.k2_realset2 A))) (=> (tptp.m1_subset_1 D _let_2) (= (tptp.k2_binop_1 _let_2 _let_2 _let_2 _let_1 (tptp.k2_binop_1 _let_2 _let_2 _let_2 _let_1 B C) D) (tptp.k2_binop_1 _let_2 _let_2 _let_2 _let_1 B (tptp.k2_binop_1 _let_2 _let_2 _let_2 _let_1 C D))))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v4_realset2 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k2_realset2 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k3_realset2 A))) (let ((_let_2 (tptp.k2_realset2 A))) (=> (tptp.m1_subset_1 C _let_2) (= (tptp.k2_binop_1 _let_2 _let_2 _let_2 _let_1 B C) (tptp.k2_binop_1 _let_2 _let_2 _let_2 _let_1 C B)))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v4_realset2 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k4_realset2 A))) (let ((_let_2 (tptp.k3_realset2 A))) (let ((_let_3 (tptp.k2_realset2 A))) (=> (tptp.m1_subset_1 B _let_3) (and (= (tptp.k2_binop_1 _let_3 _let_3 _let_3 _let_2 B _let_1) B) (= (tptp.k2_binop_1 _let_3 _let_3 _let_3 _let_2 _let_1 B) B))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v4_realset2 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k2_realset2 A)) (exists ((C $$unsorted)) (let ((_let_1 (tptp.k4_realset2 A))) (let ((_let_2 (tptp.k3_realset2 A))) (let ((_let_3 (tptp.k2_realset2 A))) (and (tptp.m1_subset_1 C _let_3) (= (tptp.k2_binop_1 _let_3 _let_3 _let_3 _let_2 B C) _let_1) (= (tptp.k2_binop_1 _let_3 _let_3 _let_3 _let_2 C B) _let_1)))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v4_realset2 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k2_realset2 A))) (=> (tptp.m1_subset_1 B (tptp.k4_xboole_0 _let_1 (tptp.k5_realset1 _let_1 (tptp.k4_realset2 A)))) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k2_realset2 A))) (=> (tptp.m1_subset_1 C (tptp.k4_xboole_0 _let_1 (tptp.k5_realset1 _let_1 (tptp.k4_realset2 A)))) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k5_realset2 A))) (let ((_let_2 (tptp.k2_realset2 A))) (=> (tptp.m1_subset_1 D (tptp.k4_xboole_0 _let_2 (tptp.k5_realset1 _let_2 (tptp.k4_realset2 A)))) (= (tptp.k1_funct_1 _let_1 (tptp.k4_tarski (tptp.k1_funct_1 _let_1 (tptp.k4_tarski B C)) D)) (tptp.k1_funct_1 _let_1 (tptp.k4_tarski B (tptp.k1_funct_1 _let_1 (tptp.k4_tarski C D))))))))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v4_realset2 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k2_realset2 A))) (=> (tptp.m1_subset_1 B (tptp.k4_xboole_0 _let_1 (tptp.k5_realset1 _let_1 (tptp.k4_realset2 A)))) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k5_realset2 A))) (let ((_let_2 (tptp.k2_realset2 A))) (=> (tptp.m1_subset_1 C (tptp.k4_xboole_0 _let_2 (tptp.k5_realset1 _let_2 (tptp.k4_realset2 A)))) (= (tptp.k1_funct_1 _let_1 (tptp.k4_tarski B C)) (tptp.k1_funct_1 _let_1 (tptp.k4_tarski C B)))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v4_realset2 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k6_realset2 A))) (let ((_let_2 (tptp.k5_realset2 A))) (let ((_let_3 (tptp.k2_realset2 A))) (=> (tptp.m1_subset_1 B (tptp.k4_xboole_0 _let_3 (tptp.k5_realset1 _let_3 (tptp.k4_realset2 A)))) (and (= (tptp.k1_funct_1 _let_2 (tptp.k4_tarski B _let_1)) B) (= (tptp.k1_funct_1 _let_2 (tptp.k4_tarski _let_1 B)) B))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v4_realset2 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k2_realset2 A))) (=> (tptp.m1_subset_1 B (tptp.k4_xboole_0 _let_1 (tptp.k5_realset1 _let_1 (tptp.k4_realset2 A)))) (exists ((C $$unsorted)) (let ((_let_1 (tptp.k6_realset2 A))) (let ((_let_2 (tptp.k5_realset2 A))) (let ((_let_3 (tptp.k2_realset2 A))) (and (tptp.m1_subset_1 C (tptp.k4_xboole_0 _let_3 (tptp.k5_realset1 _let_3 (tptp.k4_realset2 A)))) (= (tptp.k1_funct_1 _let_2 (tptp.k4_tarski B C)) _let_1) (= (tptp.k1_funct_1 _let_2 (tptp.k4_tarski C B)) _let_1))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v4_realset2 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k2_realset2 A))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_1 _let_1) (tptp.m2_relset_1 B _let_1 _let_1)) (= (= B (tptp.k7_realset2 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k2_realset2 A))) (=> (tptp.m1_subset_1 C _let_1) (= (tptp.k1_funct_1 (tptp.k3_realset2 A) (tptp.k4_tarski C (tptp.k8_funct_2 _let_1 _let_1 B C))) (tptp.k4_realset2 A))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v4_realset2 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k2_realset2 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k2_realset2 A))) (=> (tptp.m1_subset_1 C _let_1) (=> (= (tptp.k2_binop_1 _let_1 _let_1 _let_1 (tptp.k3_realset2 A) B C) (tptp.k4_realset2 A)) (= C (tptp.k8_funct_2 _let_1 _let_1 (tptp.k7_realset2 A) B)))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v4_realset2 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k7_realset2 A))) (let ((_let_2 (tptp.k2_realset2 A))) (=> (tptp.m1_subset_1 B _let_2) (= B (tptp.k8_funct_2 _let_2 _let_2 _let_1 (tptp.k8_funct_2 _let_2 _let_2 _let_1 B))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v4_realset2 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k2_realset2 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k2_realset2 A))) (let ((_let_2 (tptp.k4_tarski B C))) (=> (tptp.m1_subset_1 C _let_1) (and (tptp.m1_subset_1 (tptp.k1_funct_1 (tptp.k3_realset2 A) _let_2) _let_1) (tptp.m1_subset_1 (tptp.k1_funct_1 (tptp.k5_realset2 A) _let_2) _let_1) (tptp.m1_subset_1 (tptp.k8_funct_2 _let_1 _let_1 (tptp.k7_realset2 A) B) _let_1)))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v4_realset2 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k2_realset2 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k2_realset2 A)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k5_realset2 A))) (let ((_let_2 (tptp.k7_realset2 A))) (let ((_let_3 (tptp.k3_realset2 A))) (let ((_let_4 (tptp.k2_realset2 A))) (=> (tptp.m1_subset_1 D _let_4) (= (tptp.k1_funct_1 _let_1 (tptp.k4_tarski B (tptp.k1_funct_1 _let_3 (tptp.k4_tarski C (tptp.k8_funct_2 _let_4 _let_4 _let_2 D))))) (tptp.k1_funct_1 _let_3 (tptp.k4_tarski (tptp.k1_funct_1 _let_1 (tptp.k4_tarski B C)) (tptp.k1_funct_1 _let_2 (tptp.k1_funct_1 _let_1 (tptp.k4_tarski B D)))))))))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v4_realset2 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k2_realset2 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k2_realset2 A)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k5_realset2 A))) (let ((_let_2 (tptp.k7_realset2 A))) (let ((_let_3 (tptp.k3_realset2 A))) (let ((_let_4 (tptp.k2_realset2 A))) (=> (tptp.m1_subset_1 D _let_4) (= (tptp.k1_funct_1 _let_1 (tptp.k4_tarski (tptp.k1_funct_1 _let_3 (tptp.k4_tarski B (tptp.k8_funct_2 _let_4 _let_4 _let_2 C))) D)) (tptp.k1_funct_1 _let_3 (tptp.k4_tarski (tptp.k1_funct_1 _let_1 (tptp.k4_tarski B D)) (tptp.k1_funct_1 _let_2 (tptp.k1_funct_1 _let_1 (tptp.k4_tarski C D)))))))))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v4_realset2 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k4_realset2 A))) (=> (tptp.m1_subset_1 B (tptp.k2_realset2 A)) (= (tptp.k1_funct_1 (tptp.k5_realset2 A) (tptp.k4_tarski B _let_1)) _let_1)))))) (forall ((A $$unsorted)) (=> (and (tptp.v4_realset2 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k4_realset2 A))) (=> (tptp.m1_subset_1 B (tptp.k2_realset2 A)) (= (tptp.k1_funct_1 (tptp.k5_realset2 A) (tptp.k4_tarski _let_1 B)) _let_1)))))) (forall ((A $$unsorted)) (=> (and (tptp.v4_realset2 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k2_realset2 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k7_realset2 A))) (let ((_let_2 (tptp.k2_realset2 A))) (let ((_let_3 (tptp.k5_realset2 A))) (=> (tptp.m1_subset_1 C _let_2) (= (tptp.k1_funct_1 _let_1 (tptp.k1_funct_1 _let_3 (tptp.k4_tarski B C))) (tptp.k1_funct_1 _let_3 (tptp.k4_tarski B (tptp.k8_funct_2 _let_2 _let_2 _let_1 C))))))))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k4_realset2 A))) (=> (and (tptp.v4_realset2 A) (tptp.l3_vectsp_1 A)) (= (tptp.k1_funct_1 (tptp.k5_realset2 A) (tptp.k4_tarski (tptp.k6_realset2 A) _let_1)) _let_1)))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k4_realset2 A))) (=> (and (tptp.v4_realset2 A) (tptp.l3_vectsp_1 A)) (= (tptp.k1_funct_1 (tptp.k5_realset2 A) (tptp.k4_tarski _let_1 (tptp.k6_realset2 A))) _let_1)))) (forall ((A $$unsorted)) (=> (and (tptp.v4_realset2 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k2_realset2 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k2_realset2 A))) (=> (tptp.m1_subset_1 C _let_1) (tptp.m1_subset_1 (tptp.k1_funct_1 (tptp.k5_realset2 A) (tptp.k4_tarski B C)) _let_1)))))))) (forall ((A $$unsorted)) (=> (and (tptp.v4_realset2 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k2_realset2 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k2_realset2 A)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k5_realset2 A))) (=> (tptp.m1_subset_1 D (tptp.k2_realset2 A)) (= (tptp.k1_funct_1 _let_1 (tptp.k4_tarski (tptp.k1_funct_1 _let_1 (tptp.k4_tarski B C)) D)) (tptp.k1_funct_1 _let_1 (tptp.k4_tarski B (tptp.k1_funct_1 _let_1 (tptp.k4_tarski C D)))))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v4_realset2 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k2_realset2 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k5_realset2 A))) (=> (tptp.m1_subset_1 C (tptp.k2_realset2 A)) (= (tptp.k1_funct_1 _let_1 (tptp.k4_tarski B C)) (tptp.k1_funct_1 _let_1 (tptp.k4_tarski C B)))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v4_realset2 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k6_realset2 A))) (let ((_let_2 (tptp.k5_realset2 A))) (=> (tptp.m1_subset_1 B (tptp.k2_realset2 A)) (and (= (tptp.k1_funct_1 _let_2 (tptp.k4_tarski B _let_1)) B) (= (tptp.k1_funct_1 _let_2 (tptp.k4_tarski _let_1 B)) B)))))))) (forall ((A $$unsorted)) (=> (and (tptp.v4_realset2 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k2_realset2 A))) (let ((_let_2 (tptp.k4_xboole_0 _let_1 (tptp.k5_realset1 _let_1 (tptp.k4_realset2 A))))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_2 _let_2) (tptp.m2_relset_1 B _let_2 _let_2)) (= (= B (tptp.k8_realset2 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k2_realset2 A))) (let ((_let_2 (tptp.k4_xboole_0 _let_1 (tptp.k5_realset1 _let_1 (tptp.k4_realset2 A))))) (=> (tptp.m1_subset_1 C _let_2) (= (tptp.k1_funct_1 (tptp.k5_realset2 A) (tptp.k4_tarski C (tptp.k8_funct_2 _let_2 _let_2 B C))) (tptp.k6_realset2 A))))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v4_realset2 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k2_realset2 A))) (=> (tptp.m1_subset_1 B (tptp.k4_xboole_0 _let_1 (tptp.k5_realset1 _let_1 (tptp.k4_realset2 A)))) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k2_realset2 A))) (let ((_let_2 (tptp.k4_xboole_0 _let_1 (tptp.k5_realset1 _let_1 (tptp.k4_realset2 A))))) (=> (tptp.m1_subset_1 C _let_2) (=> (= (tptp.k1_funct_1 (tptp.k5_realset2 A) (tptp.k4_tarski B C)) (tptp.k6_realset2 A)) (= C (tptp.k8_funct_2 _let_2 _let_2 (tptp.k8_realset2 A) B)))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v4_realset2 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k8_realset2 A))) (let ((_let_2 (tptp.k2_realset2 A))) (let ((_let_3 (tptp.k4_xboole_0 _let_2 (tptp.k5_realset1 _let_2 (tptp.k4_realset2 A))))) (=> (tptp.m1_subset_1 B _let_3) (= B (tptp.k8_funct_2 _let_3 _let_3 _let_1 (tptp.k8_funct_2 _let_3 _let_3 _let_1 B)))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v4_realset2 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k2_realset2 A))) (=> (tptp.m1_subset_1 B (tptp.k4_xboole_0 _let_1 (tptp.k5_realset1 _let_1 (tptp.k4_realset2 A)))) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k2_realset2 A))) (let ((_let_2 (tptp.k4_xboole_0 _let_1 (tptp.k5_realset1 _let_1 (tptp.k4_realset2 A))))) (=> (tptp.m1_subset_1 C _let_2) (and (tptp.m1_subset_1 (tptp.k1_funct_1 (tptp.k5_realset2 A) (tptp.k4_tarski B C)) _let_2) (tptp.m1_subset_1 (tptp.k8_funct_2 _let_2 _let_2 (tptp.k8_realset2 A) B) _let_2))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v4_realset2 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k2_realset2 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k2_realset2 A)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k3_realset2 A))) (let ((_let_2 (tptp.k2_realset2 A))) (=> (tptp.m1_subset_1 D _let_2) (=> (= (tptp.k2_binop_1 _let_2 _let_2 _let_2 _let_1 B C) (tptp.k2_binop_1 _let_2 _let_2 _let_2 _let_1 B D)) (= C D)))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v4_realset2 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k2_realset2 A))) (=> (tptp.m1_subset_1 B (tptp.k4_xboole_0 _let_1 (tptp.k5_realset1 _let_1 (tptp.k4_realset2 A)))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k2_realset2 A)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k5_realset2 A))) (=> (tptp.m1_subset_1 D (tptp.k2_realset2 A)) (=> (= (tptp.k1_funct_1 _let_1 (tptp.k4_tarski B C)) (tptp.k1_funct_1 _let_1 (tptp.k4_tarski B D))) (= C D)))))))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (let ((_let_1 (tptp.k1_realset2 A B C D E))) (let ((_let_2 (tptp.k2_zfmisc_1 A A))) (=> (and (not (tptp.v1_realset1 A)) (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_2 A) (tptp.m1_relset_1 B _let_2 A) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 A) (tptp.m1_relset_1 C _let_2 A) (tptp.m1_subset_1 D A) (tptp.m1_subset_1 E (tptp.k4_xboole_0 A (tptp.k5_realset1 A D)))) (and (tptp.v3_vectsp_1 _let_1) (not (tptp.v3_realset2 _let_1)) (tptp.l3_vectsp_1 _let_1)))))) (forall ((A $$unsorted)) (=> (and (tptp.v4_realset2 A) (tptp.l3_vectsp_1 A)) (not (tptp.v1_realset1 (tptp.k2_realset2 A))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k2_realset2 A))) (let ((_let_2 (tptp.k2_zfmisc_1 _let_1 _let_1))) (let ((_let_3 (tptp.k3_realset2 A))) (=> (and (tptp.v4_realset2 A) (tptp.l3_vectsp_1 A)) (and (tptp.v1_funct_1 _let_3) (tptp.v1_funct_2 _let_3 _let_2 _let_1) (tptp.m2_relset_1 _let_3 _let_2 _let_1))))))) (forall ((A $$unsorted)) (=> (and (tptp.v4_realset2 A) (tptp.l3_vectsp_1 A)) (tptp.m1_subset_1 (tptp.k4_realset2 A) (tptp.k2_realset2 A)))) (forall ((A $$unsorted)) (=> (and (tptp.v4_realset2 A) (tptp.l3_vectsp_1 A)) (tptp.m3_realset1 (tptp.k5_realset2 A) (tptp.k2_realset2 A) (tptp.k4_realset2 A)))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k2_realset2 A))) (=> (and (tptp.v4_realset2 A) (tptp.l3_vectsp_1 A)) (tptp.m1_subset_1 (tptp.k6_realset2 A) (tptp.k4_xboole_0 _let_1 (tptp.k5_realset1 _let_1 (tptp.k4_realset2 A))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k2_realset2 A))) (let ((_let_2 (tptp.k7_realset2 A))) (=> (and (tptp.v4_realset2 A) (tptp.l3_vectsp_1 A)) (and (tptp.v1_funct_1 _let_2) (tptp.v1_funct_2 _let_2 _let_1 _let_1) (tptp.m2_relset_1 _let_2 _let_1 _let_1)))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k2_realset2 A))) (let ((_let_2 (tptp.k4_xboole_0 _let_1 (tptp.k5_realset1 _let_1 (tptp.k4_realset2 A))))) (let ((_let_3 (tptp.k8_realset2 A))) (=> (and (tptp.v4_realset2 A) (tptp.l3_vectsp_1 A)) (and (tptp.v1_funct_1 _let_3) (tptp.v1_funct_2 _let_3 _let_2 _let_2) (tptp.m2_relset_1 _let_3 _let_2 _let_2))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (exists ((B $$unsorted)) (and (tptp.m1_relset_1 B (tptp.k13_finseq_1 A) A) (not (tptp.v1_xboole_0 B)) (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (tptp.v1_unialg_1 B A) (tptp.v2_unialg_1 B A))))) (exists ((A $$unsorted)) (and (tptp.l1_unialg_1 A) (tptp.v3_unialg_1 A))) (exists ((A $$unsorted)) (and (tptp.l1_unialg_1 A) (not (tptp.v3_struct_0 A)) (tptp.v3_unialg_1 A))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.g1_unialg_1 A B))) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.m1_finseq_1 B (tptp.k4_partfun1 (tptp.k13_finseq_1 A) A))) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v3_unialg_1 _let_1))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (exists ((B $$unsorted)) (and (tptp.m1_finseq_1 B (tptp.k4_partfun1 (tptp.k13_finseq_1 A) A)) (tptp.v1_relat_1 B) (tptp.v2_relat_1 B) (tptp.v1_funct_1 B) (tptp.v1_finseq_1 B) (tptp.v4_unialg_1 B A) (tptp.v5_unialg_1 B A))))) (exists ((A $$unsorted)) (and (tptp.l1_unialg_1 A) (not (tptp.v3_struct_0 A)) (tptp.v3_unialg_1 A) (tptp.v6_unialg_1 A) (tptp.v7_unialg_1 A) (tptp.v8_unialg_1 A))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.u1_unialg_1 A))) (=> (and (tptp.v6_unialg_1 A) (tptp.l1_unialg_1 A)) (and (tptp.v1_relat_1 _let_1) (tptp.v1_funct_1 _let_1) (tptp.v1_finseq_1 _let_1) (tptp.v4_unialg_1 _let_1 (tptp.u1_struct_0 A)))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.u1_unialg_1 A))) (=> (and (tptp.v7_unialg_1 A) (tptp.l1_unialg_1 A)) (and (tptp.v1_relat_1 _let_1) (tptp.v1_funct_1 _let_1) (tptp.v1_finseq_1 _let_1) (tptp.v5_unialg_1 _let_1 (tptp.u1_struct_0 A)))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.u1_unialg_1 A))) (=> (and (tptp.v8_unialg_1 A) (tptp.l1_unialg_1 A)) (and (not (tptp.v1_xboole_0 _let_1)) (tptp.v1_relat_1 _let_1) (tptp.v2_relat_1 _let_1) (tptp.v1_funct_1 _let_1) (tptp.v1_finseq_1 _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_funct_1 B) (tptp.m2_relset_1 B (tptp.k13_finseq_1 A) A)) (= (tptp.v1_unialg_1 B A) (forall ((C $$unsorted)) (=> (tptp.m2_finseq_1 C A) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k1_relat_1 B))) (=> (tptp.m2_finseq_1 D A) (=> (and (tptp.r2_hidden C _let_1) (tptp.r2_hidden D _let_1)) (= (tptp.k3_finseq_1 C) (tptp.k3_finseq_1 D))))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_funct_1 B) (tptp.m2_relset_1 B (tptp.k13_finseq_1 A) A)) (= (tptp.v2_unialg_1 B A) (forall ((C $$unsorted)) (=> (tptp.m2_finseq_1 C A) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k1_relat_1 B))) (=> (tptp.m2_finseq_1 D A) (=> (and (= (tptp.k3_finseq_1 C) (tptp.k3_finseq_1 D)) (tptp.r2_hidden C _let_1)) (tptp.r2_hidden D _let_1)))))))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.v1_xboole_0 B))) (let ((_let_2 (= (tptp.k1_relat_1 B) tptp.k1_xboole_0))) (=> (and (tptp.v1_funct_1 B) (tptp.m2_relset_1 B (tptp.k13_finseq_1 A) A)) (and (not (and (not _let_1) _let_2)) (not (and (not _let_2) _let_1))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k2_funcop_1 (tptp.k1_tarski (tptp.k6_finseq_1 A)) B))) (=> (tptp.m1_subset_1 B A) (and (not (tptp.v1_xboole_0 _let_1)) (tptp.v1_funct_1 _let_1) (tptp.v1_unialg_1 _let_1 A) (tptp.v2_unialg_1 _let_1 A) (tptp.m2_relset_1 _let_1 (tptp.k13_finseq_1 A) A))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B A) (tptp.m1_subset_1 (tptp.k2_funcop_1 (tptp.k1_tarski (tptp.k6_finseq_1 A)) B) (tptp.k4_partfun1 (tptp.k13_finseq_1 A) A)))))) true (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m2_finseq_1 B (tptp.k4_partfun1 (tptp.k13_finseq_1 A) A)) (= (tptp.v4_unialg_1 B A) (forall ((C $$unsorted)) (=> (tptp.m2_subset_1 C tptp.k1_numbers tptp.k5_numbers) (forall ((D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.m2_relset_1 D (tptp.k13_finseq_1 A) A)) (=> (and (tptp.r2_hidden C (tptp.k4_finseq_1 B)) (= D (tptp.k1_funct_1 B C))) (tptp.v1_unialg_1 D A))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m2_finseq_1 B (tptp.k4_partfun1 (tptp.k13_finseq_1 A) A)) (= (tptp.v5_unialg_1 B A) (forall ((C $$unsorted)) (=> (tptp.m2_subset_1 C tptp.k1_numbers tptp.k5_numbers) (forall ((D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.m2_relset_1 D (tptp.k13_finseq_1 A) A)) (=> (and (tptp.r2_hidden C (tptp.k4_finseq_1 B)) (= D (tptp.k1_funct_1 B C))) (tptp.v2_unialg_1 D A))))))))) true (forall ((A $$unsorted)) (=> (tptp.l1_unialg_1 A) (= (tptp.v6_unialg_1 A) (tptp.v4_unialg_1 (tptp.u1_unialg_1 A) (tptp.u1_struct_0 A))))) (forall ((A $$unsorted)) (=> (tptp.l1_unialg_1 A) (= (tptp.v7_unialg_1 A) (tptp.v5_unialg_1 (tptp.u1_unialg_1 A) (tptp.u1_struct_0 A))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.u1_unialg_1 A))) (=> (tptp.l1_unialg_1 A) (= (tptp.v8_unialg_1 A) (and (not (= _let_1 tptp.k1_xboole_0)) (tptp.v2_relat_1 _let_1)))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B A) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k1_unialg_1 A C))) (=> (tptp.m1_subset_1 C (tptp.k4_partfun1 (tptp.k13_finseq_1 A) A)) (=> (= C (tptp.k2_funcop_1 (tptp.k1_tarski (tptp.k6_finseq_1 A)) B)) (and (tptp.v4_unialg_1 _let_1 A) (tptp.v5_unialg_1 _let_1 A) (tptp.v2_relat_1 _let_1)))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.v1_funct_1 B) (tptp.v1_unialg_1 B A) (tptp.m2_relset_1 B (tptp.k13_finseq_1 A) A)) (forall ((C $$unsorted)) (=> (tptp.m2_subset_1 C tptp.k1_numbers tptp.k5_numbers) (= (= C (tptp.k2_unialg_1 A B)) (forall ((D $$unsorted)) (=> (tptp.m2_finseq_1 D A) (=> (tptp.r2_hidden D (tptp.k1_relat_1 B)) (= C (tptp.k3_finseq_1 D)))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v6_unialg_1 A) (tptp.v8_unialg_1 A) (tptp.l1_unialg_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.u1_unialg_1 A))) (let ((_let_3 (tptp.k1_funct_1 _let_2 B))) (=> (tptp.m2_subset_1 B tptp.k1_numbers tptp.k5_numbers) (=> (tptp.r2_hidden B (tptp.k4_finseq_1 _let_2)) (and (tptp.v1_funct_1 _let_3) (tptp.m2_relset_1 _let_3 (tptp.k13_finseq_1 _let_1) _let_1)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v6_unialg_1 A) (tptp.v8_unialg_1 A) (tptp.l1_unialg_1 A)) (forall ((B $$unsorted)) (=> (tptp.m2_finseq_1 B tptp.k5_numbers) (= (= B (tptp.k3_unialg_1 A)) (and (= (tptp.k3_finseq_1 B) (tptp.k3_finseq_1 (tptp.u1_unialg_1 A))) (forall ((C $$unsorted)) (=> (tptp.m2_subset_1 C tptp.k1_numbers tptp.k5_numbers) (=> (tptp.r2_hidden C (tptp.k4_finseq_1 B)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v1_xboole_0 D)) (tptp.v1_funct_1 D) (tptp.v1_unialg_1 D _let_1) (tptp.m2_relset_1 D (tptp.k13_finseq_1 _let_1) _let_1)) (=> (= D (tptp.k1_funct_1 (tptp.u1_unialg_1 A) C)) (= (tptp.k1_funct_1 B C) (tptp.k2_unialg_1 _let_1 D))))))))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_unialg_1 A) (tptp.l1_struct_0 A))) (exists ((A $$unsorted)) (tptp.l1_unialg_1 A)) (forall ((A $$unsorted)) (=> (tptp.l1_unialg_1 A) (=> (tptp.v3_unialg_1 A) (= A (tptp.g1_unialg_1 (tptp.u1_struct_0 A) (tptp.u1_unialg_1 A)))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k4_partfun1 (tptp.k13_finseq_1 A) A))) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.m1_subset_1 B _let_1)) (tptp.m2_finseq_1 (tptp.k1_unialg_1 A B) _let_1)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.m1_subset_1 B (tptp.k4_partfun1 (tptp.k13_finseq_1 A) A))) (= (tptp.k1_unialg_1 A B) (tptp.k5_finseq_1 B)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (not (tptp.v1_xboole_0 B)) (tptp.v1_funct_1 B) (tptp.v1_unialg_1 B A) (tptp.m1_relset_1 B (tptp.k13_finseq_1 A) A)) (tptp.m2_subset_1 (tptp.k2_unialg_1 A B) tptp.k1_numbers tptp.k5_numbers))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v6_unialg_1 A) (tptp.v8_unialg_1 A) (tptp.l1_unialg_1 A)) (tptp.m2_finseq_1 (tptp.k3_unialg_1 A) tptp.k5_numbers))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.l1_unialg_1 A) (tptp.m2_finseq_1 (tptp.u1_unialg_1 A) (tptp.k4_partfun1 (tptp.k13_finseq_1 _let_1) _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.g1_unialg_1 A B))) (=> (tptp.m1_finseq_1 B (tptp.k4_partfun1 (tptp.k13_finseq_1 A) A)) (and (tptp.v3_unialg_1 _let_1) (tptp.l1_unialg_1 _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_finseq_1 B (tptp.k4_partfun1 (tptp.k13_finseq_1 A) A)) (forall ((C $$unsorted) (D $$unsorted)) (=> (= (tptp.g1_unialg_1 A B) (tptp.g1_unialg_1 C D)) (and (= A C) (= B D)))))) (exists ((A $$unsorted)) (and (tptp.l1_msualg_1 A) (tptp.v1_msualg_1 A))) (exists ((A $$unsorted)) (and (tptp.l1_msualg_1 A) (not (tptp.v3_struct_0 A)) (tptp.v1_msualg_1 A) (tptp.v2_msualg_1 A))) (exists ((A $$unsorted)) (and (tptp.l1_msualg_1 A) (not (tptp.v3_struct_0 A)) (tptp.v1_msualg_1 A) (not (tptp.v2_msualg_1 A)))) (forall ((A $$unsorted)) (=> (tptp.l1_struct_0 A) (exists ((B $$unsorted)) (and (tptp.l2_msualg_1 B A) (tptp.v3_msualg_1 B A))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_msualg_1 A)) (exists ((B $$unsorted)) (and (tptp.l3_msualg_1 B A) (tptp.v4_msualg_1 B A))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_msualg_1 A)) (exists ((B $$unsorted)) (and (tptp.l3_msualg_1 B A) (tptp.v4_msualg_1 B A) (tptp.v5_msualg_1 B A))))) (forall ((A $$unsorted)) (=> (tptp.l1_struct_0 A) (exists ((B $$unsorted)) (and (tptp.l2_msualg_1 B A) (tptp.v3_msualg_1 B A) (tptp.v5_msualg_1 B A))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.u4_msualg_1 A B))) (=> (and (tptp.l1_struct_0 A) (tptp.v5_msualg_1 B A) (tptp.l2_msualg_1 B A)) (and (tptp.v1_relat_1 _let_1) (tptp.v2_relat_1 _let_1) (tptp.v1_funct_1 _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_msualg_1 A) (tptp.v5_msualg_1 B A) (tptp.l3_msualg_1 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k2_relat_1 (tptp.u4_msualg_1 A B))) (not (tptp.v1_xboole_0 C)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_msualg_1 A) (tptp.v5_msualg_1 B A) (tptp.l3_msualg_1 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k2_relat_1 (tptp.k6_pboole (tptp.u1_struct_0 A) (tptp.u4_msualg_1 A B)))) (not (tptp.v1_xboole_0 C)))))) (exists ((A $$unsorted)) (and (tptp.l1_msualg_1 A) (not (tptp.v3_struct_0 A)) (tptp.v3_realset2 A) (tptp.v1_msualg_1 A) (not (tptp.v2_msualg_1 A)) (tptp.v6_msualg_1 A))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k7_msualg_1 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v6_unialg_1 A) (tptp.v7_unialg_1 A) (tptp.v8_unialg_1 A) (tptp.l1_unialg_1 A)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v3_realset2 _let_1) (tptp.v1_msualg_1 _let_1) (not (tptp.v2_msualg_1 _let_1)) (tptp.v6_msualg_1 _let_1))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k7_msualg_1 A))) (let ((_let_2 (tptp.k10_msualg_1 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v6_unialg_1 A) (tptp.v7_unialg_1 A) (tptp.v8_unialg_1 A) (tptp.l1_unialg_1 A)) (and (tptp.v4_msualg_1 _let_2 _let_1) (tptp.v5_msualg_1 _let_2 _let_1)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_realset2 A) (tptp.l1_msualg_1 A) (tptp.v5_msualg_1 B A) (tptp.l3_msualg_1 B A)) (not (tptp.v1_xboole_0 (tptp.k11_msualg_1 A B))))) true true true true (forall ((A $$unsorted)) (=> (tptp.l1_msualg_1 A) (= (tptp.v2_msualg_1 A) (= (tptp.u1_msualg_1 A) tptp.k1_xboole_0)))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (not (tptp.v2_msualg_1 A)) (tptp.l1_msualg_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_msualg_1 A)) (= (tptp.k1_msualg_1 A B) (tptp.k1_funct_1 (tptp.u2_msualg_1 A) B)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (not (tptp.v2_msualg_1 A)) (tptp.l1_msualg_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_msualg_1 A)) (= (tptp.k2_msualg_1 A B) (tptp.k1_funct_1 (tptp.u3_msualg_1 A) B)))))) (forall ((A $$unsorted)) (=> (tptp.l1_struct_0 A) (forall ((B $$unsorted)) (=> (tptp.l2_msualg_1 B A) (= (tptp.v5_msualg_1 B A) (tptp.v2_relat_1 (tptp.u4_msualg_1 A B))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (not (tptp.v2_msualg_1 A)) (tptp.l1_msualg_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_msualg_1 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.l3_msualg_1 C A) (= (tptp.k3_msualg_1 A B C) (tptp.k1_funct_1 (tptp.k7_pboole (tptp.u1_msualg_1 A) (tptp.k3_finseq_2 _let_1) (tptp.u2_msualg_1 A) (tptp.k6_pboole _let_1 (tptp.u4_msualg_1 A C))) B))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (not (tptp.v2_msualg_1 A)) (tptp.l1_msualg_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_msualg_1 A)) (forall ((C $$unsorted)) (=> (tptp.l3_msualg_1 C A) (= (tptp.k4_msualg_1 A B C) (tptp.k1_funct_1 (tptp.k7_pboole (tptp.u1_msualg_1 A) (tptp.u1_struct_0 A) (tptp.u3_msualg_1 A) (tptp.u4_msualg_1 A C)) B)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (not (tptp.v2_msualg_1 A)) (tptp.l1_msualg_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_msualg_1 A)) (forall ((C $$unsorted)) (=> (tptp.l3_msualg_1 C A) (= (tptp.k5_msualg_1 A B C) (tptp.k1_funct_1 (tptp.u5_msualg_1 A C) B)))))))) true true true true true (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (not (tptp.v2_msualg_1 A)) (tptp.l1_msualg_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_msualg_1 A)) (forall ((C $$unsorted)) (=> (and (tptp.v5_msualg_1 C A) (tptp.l3_msualg_1 C A)) (not (tptp.v1_xboole_0 (tptp.k5_msualg_1 A B C))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (=> (not (tptp.v1_xboole_0 C)) (forall ((D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.m2_relset_1 D A B)) (forall ((E $$unsorted)) (let ((_let_1 (tptp.k1_relat_1 D))) (let ((_let_2 (tptp.k1_partfun1 A B B C D E))) (=> (and (tptp.v1_funct_1 E) (tptp.v1_funct_2 E B C) (tptp.m2_relset_1 E B C)) (and (tptp.v1_funct_1 _let_2) (tptp.v1_funct_2 _let_2 _let_1 C) (tptp.m2_relset_1 _let_2 _let_1 C)))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_funct_1 B) (not (tptp.v1_xboole_0 B)) (tptp.v1_unialg_1 B A) (tptp.v2_unialg_1 B A) (tptp.m2_relset_1 B (tptp.k3_finseq_2 A) A)) (= (tptp.k1_relat_1 B) (tptp.k1_funct_2 (tptp.k2_finseq_1 (tptp.k2_unialg_1 A B)) A)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v6_unialg_1 A) (tptp.v7_unialg_1 A) (tptp.v8_unialg_1 A) (tptp.l1_unialg_1 A)) (not (tptp.v1_xboole_0 (tptp.k3_unialg_1 A))))) (forall ((A $$unsorted)) (=> (tptp.l1_msualg_1 A) (= (tptp.v6_msualg_1 A) (exists ((B $$unsorted)) (and (tptp.m2_subset_1 B tptp.k1_numbers tptp.k5_numbers) (= (tptp.u1_msualg_1 A) (tptp.k2_finseq_1 B))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_msualg_1 A)) (=> (tptp.v3_realset2 A) (forall ((B $$unsorted)) (=> (tptp.l3_msualg_1 B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k2_relat_1 (tptp.u4_msualg_1 A B))) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k2_relat_1 (tptp.u4_msualg_1 A B))) (= C D)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v6_unialg_1 A) (tptp.v7_unialg_1 A) (tptp.v8_unialg_1 A) (tptp.l1_unialg_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k6_msualg_1 A))) (let ((_let_2 (tptp.k4_finseq_1 _let_1))) (let ((_let_3 (tptp.k1_tarski tptp.np__0))) (=> (and (tptp.v3_realset2 B) (tptp.v1_msualg_1 B) (not (tptp.v2_msualg_1 B)) (tptp.v6_msualg_1 B) (tptp.l1_msualg_1 B)) (= (= B (tptp.k7_msualg_1 A)) (and (= (tptp.u1_struct_0 B) _let_3) (= (tptp.u1_msualg_1 B) _let_2) (= (tptp.u2_msualg_1 B) (tptp.k1_partfun1 tptp.k5_numbers tptp.k5_numbers tptp.k5_numbers (tptp.k3_finseq_2 _let_3) _let_1 (tptp.k9_pboole tptp.np__0))) (= (tptp.u3_msualg_1 B) (tptp.k10_pboole _let_2 tptp.np__0))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v6_unialg_1 A) (tptp.v7_unialg_1 A) (tptp.v8_unialg_1 A) (tptp.l1_unialg_1 A)) (= (tptp.k8_msualg_1 A) (tptp.k10_pboole (tptp.k1_tarski tptp.np__0) (tptp.u1_struct_0 A))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v6_unialg_1 A) (tptp.v7_unialg_1 A) (tptp.v8_unialg_1 A) (tptp.l1_unialg_1 A)) (= (tptp.k9_msualg_1 A) (tptp.u1_unialg_1 A)))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v6_unialg_1 A) (tptp.v7_unialg_1 A) (tptp.v8_unialg_1 A) (tptp.l1_unialg_1 A)) (= (tptp.k10_msualg_1 A) (tptp.g3_msualg_1 (tptp.k7_msualg_1 A) (tptp.k8_msualg_1 A) (tptp.k9_msualg_1 A))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_realset2 A) (tptp.l1_msualg_1 A)) (forall ((B $$unsorted)) (=> (tptp.l3_msualg_1 B A) (forall ((C $$unsorted)) (= (= C (tptp.k11_msualg_1 A B)) (tptp.m1_subset_1 C (tptp.k2_relat_1 (tptp.u4_msualg_1 A B))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_realset2 A) (not (tptp.v2_msualg_1 A)) (tptp.v6_msualg_1 A) (tptp.l1_msualg_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_msualg_1 A)) (forall ((C $$unsorted)) (=> (and (tptp.v5_msualg_1 C A) (tptp.l3_msualg_1 C A)) (= (tptp.k3_msualg_1 A B C) (tptp.k4_finseq_2 (tptp.k3_finseq_1 (tptp.k1_msualg_1 A B)) (tptp.k11_msualg_1 A C))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (tptp.m2_subset_1 B tptp.k1_numbers tptp.k5_numbers) (tptp.r1_tarski (tptp.k4_finseq_2 B A) (tptp.k3_finseq_2 A)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_realset2 A) (not (tptp.v2_msualg_1 A)) (tptp.v6_msualg_1 A) (tptp.l1_msualg_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_msualg_1 A)) (forall ((C $$unsorted)) (=> (and (tptp.v5_msualg_1 C A) (tptp.l3_msualg_1 C A)) (tptp.r1_tarski (tptp.k3_msualg_1 A B C) (tptp.k3_finseq_2 (tptp.k11_msualg_1 A C))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_realset2 A) (not (tptp.v2_msualg_1 A)) (tptp.v6_msualg_1 A) (tptp.l1_msualg_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k11_msualg_1 A B))) (=> (and (tptp.v5_msualg_1 B A) (tptp.l3_msualg_1 B A)) (tptp.m2_finseq_1 (tptp.u5_msualg_1 A B) (tptp.k4_partfun1 (tptp.k3_finseq_2 _let_1) _let_1))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_realset2 A) (not (tptp.v2_msualg_1 A)) (tptp.v6_msualg_1 A) (tptp.l1_msualg_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v5_msualg_1 B A) (tptp.l3_msualg_1 B A)) (= (tptp.k12_msualg_1 A B) (tptp.u5_msualg_1 A B)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_realset2 A) (not (tptp.v2_msualg_1 A)) (tptp.v6_msualg_1 A) (tptp.l1_msualg_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v5_msualg_1 B A) (tptp.l3_msualg_1 B A)) (= (tptp.k13_msualg_1 A B) (tptp.g1_unialg_1 (tptp.k11_msualg_1 A B) (tptp.k12_msualg_1 A B))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_unialg_1 A) (tptp.v6_unialg_1 A) (tptp.v7_unialg_1 A) (tptp.v8_unialg_1 A) (tptp.l1_unialg_1 A)) (= A (tptp.k13_msualg_1 (tptp.k7_msualg_1 A) (tptp.k10_msualg_1 A))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v6_unialg_1 A) (tptp.v7_unialg_1 A) (tptp.v8_unialg_1 A) (tptp.l1_unialg_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k6_msualg_1 A))) (let ((_let_2 (tptp.k4_finseq_1 _let_1))) (let ((_let_3 (tptp.k1_tarski tptp.np__0))) (let ((_let_4 (tptp.k3_finseq_2 _let_3))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_2 _let_4) (tptp.m2_relset_1 B _let_2 _let_4)) (=> (= B (tptp.k1_partfun1 tptp.k5_numbers tptp.k5_numbers tptp.k5_numbers _let_4 _let_1 (tptp.k9_pboole tptp.np__0))) (= (tptp.k7_msualg_1 A) (tptp.g1_msualg_1 _let_3 _let_2 B (tptp.k10_pboole _let_2 tptp.np__0)))))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_msualg_1 A) (tptp.l1_struct_0 A))) (exists ((A $$unsorted)) (tptp.l1_msualg_1 A)) true (forall ((A $$unsorted)) (=> (tptp.l1_struct_0 A) (exists ((B $$unsorted)) (tptp.l2_msualg_1 B A)))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_msualg_1 A)) (forall ((B $$unsorted)) (=> (tptp.l3_msualg_1 B A) (tptp.l2_msualg_1 B A))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_msualg_1 A)) (exists ((B $$unsorted)) (tptp.l3_msualg_1 B A)))) (forall ((A $$unsorted)) (=> (tptp.l1_msualg_1 A) (=> (tptp.v1_msualg_1 A) (= A (tptp.g1_msualg_1 (tptp.u1_struct_0 A) (tptp.u1_msualg_1 A) (tptp.u2_msualg_1 A) (tptp.u3_msualg_1 A)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.l1_struct_0 A) (tptp.l2_msualg_1 B A)) (=> (tptp.v3_msualg_1 B A) (= B (tptp.g2_msualg_1 A (tptp.u4_msualg_1 A B)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_msualg_1 A) (tptp.l3_msualg_1 B A)) (=> (tptp.v4_msualg_1 B A) (= B (tptp.g3_msualg_1 A (tptp.u4_msualg_1 A B) (tptp.u5_msualg_1 A B)))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v3_struct_0 A)) (not (tptp.v2_msualg_1 A)) (tptp.l1_msualg_1 A) (tptp.m1_subset_1 B (tptp.u1_msualg_1 A))) (tptp.m2_finseq_2 (tptp.k1_msualg_1 A B) _let_1 (tptp.k3_finseq_2 _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (not (tptp.v2_msualg_1 A)) (tptp.l1_msualg_1 A) (tptp.m1_subset_1 B (tptp.u1_msualg_1 A))) (tptp.m1_subset_1 (tptp.k2_msualg_1 A B) (tptp.u1_struct_0 A)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (not (tptp.v2_msualg_1 A)) (tptp.l1_msualg_1 A) (tptp.m1_subset_1 B (tptp.u1_msualg_1 A)) (tptp.l3_msualg_1 C A)) (tptp.m1_subset_1 (tptp.k3_msualg_1 A B C) (tptp.k2_relat_1 (tptp.k6_pboole (tptp.u1_struct_0 A) (tptp.u4_msualg_1 A C)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (not (tptp.v2_msualg_1 A)) (tptp.l1_msualg_1 A) (tptp.m1_subset_1 B (tptp.u1_msualg_1 A)) (tptp.l3_msualg_1 C A)) (tptp.m1_subset_1 (tptp.k4_msualg_1 A B C) (tptp.k2_relat_1 (tptp.u4_msualg_1 A C))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k4_msualg_1 A B C))) (let ((_let_2 (tptp.k3_msualg_1 A B C))) (let ((_let_3 (tptp.k5_msualg_1 A B C))) (=> (and (not (tptp.v3_struct_0 A)) (not (tptp.v2_msualg_1 A)) (tptp.l1_msualg_1 A) (tptp.m1_subset_1 B (tptp.u1_msualg_1 A)) (tptp.l3_msualg_1 C A)) (and (tptp.v1_funct_1 _let_3) (tptp.v1_funct_2 _let_3 _let_2 _let_1) (tptp.m2_relset_1 _let_3 _let_2 _let_1))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v6_unialg_1 A) (tptp.v7_unialg_1 A) (tptp.v8_unialg_1 A) (tptp.l1_unialg_1 A)) (tptp.m2_finseq_1 (tptp.k6_msualg_1 A) tptp.k5_numbers))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v6_unialg_1 A) (tptp.v7_unialg_1 A) (tptp.v8_unialg_1 A) (tptp.l1_unialg_1 A)) (= (tptp.k6_msualg_1 A) (tptp.k3_unialg_1 A)))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k7_msualg_1 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v6_unialg_1 A) (tptp.v7_unialg_1 A) (tptp.v8_unialg_1 A) (tptp.l1_unialg_1 A)) (and (tptp.v3_realset2 _let_1) (tptp.v1_msualg_1 _let_1) (not (tptp.v2_msualg_1 _let_1)) (tptp.v6_msualg_1 _let_1) (tptp.l1_msualg_1 _let_1))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k8_msualg_1 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v6_unialg_1 A) (tptp.v7_unialg_1 A) (tptp.v8_unialg_1 A) (tptp.l1_unialg_1 A)) (and (tptp.v2_relat_1 _let_1) (tptp.m1_pboole _let_1 (tptp.u1_struct_0 (tptp.k7_msualg_1 A))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k8_msualg_1 A))) (let ((_let_2 (tptp.k7_msualg_1 A))) (let ((_let_3 (tptp.u1_struct_0 _let_2))) (let ((_let_4 (tptp.u1_msualg_1 _let_2))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v6_unialg_1 A) (tptp.v7_unialg_1 A) (tptp.v8_unialg_1 A) (tptp.l1_unialg_1 A)) (tptp.m3_pboole (tptp.k9_msualg_1 A) _let_4 (tptp.k8_pboole _let_4 (tptp.k3_finseq_2 _let_3) (tptp.u2_msualg_1 _let_2) (tptp.k6_pboole _let_3 _let_1)) (tptp.k8_pboole _let_4 _let_3 (tptp.u3_msualg_1 _let_2) _let_1)))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k7_msualg_1 A))) (let ((_let_2 (tptp.k10_msualg_1 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v6_unialg_1 A) (tptp.v7_unialg_1 A) (tptp.v8_unialg_1 A) (tptp.l1_unialg_1 A)) (and (tptp.v4_msualg_1 _let_2 _let_1) (tptp.l3_msualg_1 _let_2 _let_1)))))) true (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k11_msualg_1 A B))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_realset2 A) (not (tptp.v2_msualg_1 A)) (tptp.v6_msualg_1 A) (tptp.l1_msualg_1 A) (tptp.v5_msualg_1 B A) (tptp.l3_msualg_1 B A)) (tptp.m2_finseq_1 (tptp.k12_msualg_1 A B) (tptp.k4_partfun1 (tptp.k13_finseq_1 _let_1) _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k13_msualg_1 A B))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_realset2 A) (not (tptp.v2_msualg_1 A)) (tptp.v6_msualg_1 A) (tptp.l1_msualg_1 A) (tptp.v5_msualg_1 B A) (tptp.l3_msualg_1 B A)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v3_unialg_1 _let_1) (tptp.v6_unialg_1 _let_1) (tptp.v7_unialg_1 _let_1) (tptp.v8_unialg_1 _let_1) (tptp.l1_unialg_1 _let_1))))) true (forall ((A $$unsorted)) (let ((_let_1 (tptp.k3_finseq_2 (tptp.u1_struct_0 A)))) (let ((_let_2 (tptp.u1_msualg_1 A))) (let ((_let_3 (tptp.u2_msualg_1 A))) (=> (tptp.l1_msualg_1 A) (and (tptp.v1_funct_1 _let_3) (tptp.v1_funct_2 _let_3 _let_2 _let_1) (tptp.m2_relset_1 _let_3 _let_2 _let_1))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.u1_msualg_1 A))) (let ((_let_3 (tptp.u3_msualg_1 A))) (=> (tptp.l1_msualg_1 A) (and (tptp.v1_funct_1 _let_3) (tptp.v1_funct_2 _let_3 _let_2 _let_1) (tptp.m2_relset_1 _let_3 _let_2 _let_1))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.l1_struct_0 A) (tptp.l2_msualg_1 B A)) (tptp.m1_pboole (tptp.u4_msualg_1 A B) (tptp.u1_struct_0 A)))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.u4_msualg_1 A B))) (let ((_let_2 (tptp.u1_struct_0 A))) (let ((_let_3 (tptp.u1_msualg_1 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_msualg_1 A) (tptp.l3_msualg_1 B A)) (tptp.m3_pboole (tptp.u5_msualg_1 A B) _let_3 (tptp.k7_pboole _let_3 (tptp.k3_finseq_2 _let_2) (tptp.u2_msualg_1 A) (tptp.k6_pboole _let_2 _let_1)) (tptp.k7_pboole _let_3 _let_2 (tptp.u3_msualg_1 A) _let_1))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.g1_msualg_1 A B C D))) (let ((_let_2 (tptp.k3_finseq_2 A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C B _let_2) (tptp.m1_relset_1 C B _let_2) (tptp.v1_funct_1 D) (tptp.v1_funct_2 D B A) (tptp.m1_relset_1 D B A)) (and (tptp.v1_msualg_1 _let_1) (tptp.l1_msualg_1 _let_1)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k3_finseq_2 A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C B _let_1) (tptp.m1_relset_1 C B _let_1) (tptp.v1_funct_1 D) (tptp.v1_funct_2 D B A) (tptp.m1_relset_1 D B A)) (forall ((E $$unsorted) (F $$unsorted) (G $$unsorted) (H $$unsorted)) (=> (= (tptp.g1_msualg_1 A B C D) (tptp.g1_msualg_1 E F G H)) (and (= A E) (= B F) (= C G) (= D H))))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.g2_msualg_1 A B))) (=> (and (tptp.l1_struct_0 A) (tptp.m1_pboole B (tptp.u1_struct_0 A))) (and (tptp.v3_msualg_1 _let_1 A) (tptp.l2_msualg_1 _let_1 A))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.l1_struct_0 A) (tptp.m1_pboole B (tptp.u1_struct_0 A))) (forall ((C $$unsorted) (D $$unsorted)) (=> (= (tptp.g2_msualg_1 A B) (tptp.g2_msualg_1 C D)) (and (= A C) (= B D)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.g3_msualg_1 A B C))) (let ((_let_2 (tptp.u1_struct_0 A))) (let ((_let_3 (tptp.u1_msualg_1 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_msualg_1 A) (tptp.m1_pboole B _let_2) (tptp.m3_pboole C _let_3 (tptp.k7_pboole _let_3 (tptp.k3_finseq_2 _let_2) (tptp.u2_msualg_1 A) (tptp.k6_pboole _let_2 B)) (tptp.k7_pboole _let_3 _let_2 (tptp.u3_msualg_1 A) B))) (and (tptp.v4_msualg_1 _let_1 A) (tptp.l3_msualg_1 _let_1 A))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.u1_msualg_1 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_msualg_1 A) (tptp.m1_pboole B _let_1) (tptp.m3_pboole C _let_2 (tptp.k7_pboole _let_2 (tptp.k3_finseq_2 _let_1) (tptp.u2_msualg_1 A) (tptp.k6_pboole _let_1 B)) (tptp.k7_pboole _let_2 _let_1 (tptp.u3_msualg_1 A) B))) (forall ((D $$unsorted) (E $$unsorted) (F $$unsorted)) (=> (= (tptp.g3_msualg_1 A B C) (tptp.g3_msualg_1 D E F)) (and (= A D) (= B E) (= C F)))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (not (tptp.v1_xboole_0 B))) (exists ((C $$unsorted)) (and (tptp.m1_relset_1 C A B) (not (tptp.v1_xboole_0 C)) (tptp.v1_relat_1 C) (tptp.v1_funct_1 C))))) (forall ((A $$unsorted)) (=> (tptp.v1_setfam_1 A) (forall ((B $$unsorted)) (=> (tptp.m1_finseq_1 B A) (tptp.v2_relat_1 B))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (exists ((B $$unsorted)) (and (tptp.m1_finseq_1 B (tptp.k4_partfun1 (tptp.k13_finseq_1 A) A)) (not (tptp.v1_xboole_0 B)) (tptp.v1_relat_1 B) (tptp.v2_relat_1 B) (tptp.v1_funct_1 B) (tptp.v1_finset_1 B) (tptp.v1_finseq_1 B) (tptp.v4_unialg_1 B A) (tptp.v5_unialg_1 B A))))) (forall ((A $$unsorted)) (=> (tptp.l1_unialg_1 A) (=> (tptp.v8_unialg_1 A) (not (tptp.v3_struct_0 A))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m2_pua2mss1 B A) (and (tptp.v2_relat_1 B) (tptp.v2_funct_1 B)))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (tptp.m2_pua2mss1 B A) (and (not (tptp.v1_xboole_0 B)) (tptp.v2_relat_1 B) (tptp.v2_funct_1 B)))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.k7_pua2mss1 A))) (=> (and (tptp.v6_unialg_1 A) (tptp.v8_unialg_1 A) (tptp.l1_unialg_1 A)) (and (tptp.v1_relat_1 _let_2) (tptp.v1_relat_2 _let_2) (tptp.v3_relat_2 _let_2) (tptp.v8_relat_2 _let_2) (tptp.v1_partfun1 _let_2 _let_1 _let_1)))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.k10_pua2mss1 A))) (=> (and (tptp.v6_unialg_1 A) (tptp.v8_unialg_1 A) (tptp.l1_unialg_1 A)) (and (tptp.v1_relat_1 _let_2) (tptp.v1_relat_2 _let_2) (tptp.v3_relat_2 _let_2) (tptp.v8_relat_2 _let_2) (tptp.v1_partfun1 _let_2 _let_1 _let_1)))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k12_pua2mss1 A B))) (=> (and (tptp.v6_unialg_1 A) (tptp.v8_unialg_1 A) (tptp.l1_unialg_1 A) (tptp.m3_pua2mss1 B A)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v1_msualg_1 _let_1) (not (tptp.v2_msualg_1 _let_1)))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v2_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v2_relat_1 B) (tptp.v1_funct_1 B)) (=> (tptp.r1_tarski (tptp.k4_card_3 A) (tptp.k4_card_3 B)) (and (= (tptp.k1_relat_1 A) (tptp.k1_relat_1 B)) (forall ((C $$unsorted)) (=> (tptp.r2_hidden C (tptp.k1_relat_1 A)) (tptp.r1_tarski (tptp.k1_funct_1 A C) (tptp.k1_funct_1 B C)))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v2_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v2_relat_1 B) (tptp.v1_funct_1 B)) (=> (= (tptp.k4_card_3 A) (tptp.k4_card_3 B)) (= A B)))))) (forall ((A $$unsorted)) (=> (and (tptp.v8_unialg_1 A) (tptp.l1_unialg_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_unialg_1 A))) (=> (tptp.m1_subset_1 B (tptp.k4_finseq_1 _let_1)) (= (tptp.k2_pua2mss1 A B) (tptp.k1_funct_1 _let_1 B))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_eqrel_1 B A) (forall ((C $$unsorted) (D $$unsorted) (E $$unsorted)) (=> (and (tptp.r2_hidden C D) (tptp.r2_hidden D B) (tptp.r2_hidden C E) (tptp.r2_hidden E B)) (= D E))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.r1_setfam_1 A B) (forall ((C $$unsorted)) (=> (tptp.m2_finseq_1 C A) (exists ((D $$unsorted)) (and (tptp.m2_finseq_1 D B) (tptp.r1_tarski (tptp.k4_card_3 C) (tptp.k4_card_3 D)))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_eqrel_1 B A) (forall ((C $$unsorted)) (=> (tptp.m1_eqrel_1 C A) (forall ((D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D B C) (tptp.m2_relset_1 D B C)) (=> (forall ((E $$unsorted)) (=> (tptp.r2_hidden E B) (tptp.r1_tarski E (tptp.k1_funct_1 D E)))) (forall ((E $$unsorted)) (=> (tptp.m2_finseq_1 E B) (forall ((F $$unsorted)) (=> (tptp.m2_finseq_1 F C) (= (tptp.r1_tarski (tptp.k4_card_3 E) (tptp.k4_card_3 F)) (= (tptp.k1_partfun1 tptp.k5_numbers B B C E D) F))))))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (not (and (tptp.r1_tarski (tptp.k2_relat_1 B) (tptp.k3_tarski A)) (forall ((C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (not (and (= (tptp.k1_relat_1 C) (tptp.k1_relat_1 B)) (tptp.r1_tarski (tptp.k2_relat_1 C) A) (tptp.r2_hidden B (tptp.k4_card_3 C)))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_eqrel_1 B A) (forall ((C $$unsorted)) (=> (tptp.m2_finseq_1 C A) (exists ((D $$unsorted)) (and (tptp.m2_finseq_1 D B) (tptp.r2_hidden C (tptp.k4_card_3 D)))))))) (forall ((A $$unsorted)) (= (tptp.k3_pua2mss1 A) (tptp.k8_eqrel_1 A (tptp.k6_partfun1 A)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m2_finseq_1 B (tptp.k3_pua2mss1 A)) (exists ((C $$unsorted)) (and (tptp.m2_finseq_1 C A) (= (tptp.k4_card_3 B) (tptp.k1_tarski C)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (= (tptp.m2_pua2mss1 B A) (and (tptp.m1_eqrel_1 (tptp.k2_relat_1 B) A) (tptp.v2_funct_1 B))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m2_pua2mss1 B A) (forall ((C $$unsorted)) (=> (tptp.r2_hidden C A) (forall ((D $$unsorted)) (= (= D (tptp.k6_pua2mss1 A B C)) (and (tptp.r2_hidden D (tptp.k1_relat_1 B)) (tptp.r2_hidden C (tptp.k1_funct_1 B D))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v2_relat_1 B) (tptp.v1_funct_1 B)) (=> (and (= (tptp.k3_card_3 B) A) (forall ((C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k1_relat_1 B))) (=> (and (tptp.r2_hidden C _let_1) (tptp.r2_hidden D _let_1)) (or (= C D) (tptp.r1_xboole_0 (tptp.k1_funct_1 B C) (tptp.k1_funct_1 B D))))))) (tptp.m2_pua2mss1 B A)))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (=> (tptp.m1_eqrel_1 C B) (forall ((D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D A C) (tptp.m2_relset_1 D A C)) (=> (and (tptp.r1_tarski C (tptp.k2_relat_1 D)) (tptp.v2_funct_1 D)) (tptp.m2_pua2mss1 D B)))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v6_unialg_1 A) (tptp.v8_unialg_1 A) (tptp.l1_unialg_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m2_relset_1 B _let_1 _let_1) (= (= B (tptp.k7_pua2mss1 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (= (tptp.r2_hidden (tptp.k4_tarski C D) B) (forall ((E $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_pua2mss1 E (tptp.k3_finseq_2 _let_1) _let_1 (tptp.k1_pua2mss1 _let_1 (tptp.u1_unialg_1 A))) (forall ((F $$unsorted)) (=> (and (tptp.v1_relat_1 F) (tptp.v1_funct_1 F) (tptp.v1_finseq_1 F)) (forall ((G $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.k4_relset_1 (tptp.k3_finseq_2 _let_1) _let_1 E))) (=> (and (tptp.v1_relat_1 G) (tptp.v1_funct_1 G) (tptp.v1_finseq_1 G)) (= (tptp.r2_hidden (tptp.k7_finseq_1 (tptp.k7_finseq_1 F (tptp.k12_finseq_1 _let_1 C)) G) _let_2) (tptp.r2_hidden (tptp.k7_finseq_1 (tptp.k7_finseq_1 F (tptp.k12_finseq_1 _let_1 D)) G) _let_2)))))))))))))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v6_unialg_1 A) (tptp.v8_unialg_1 A) (tptp.l1_unialg_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m2_relset_1 B _let_1 _let_1) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m2_relset_1 C _let_1 _let_1) (= (= C (tptp.k8_pua2mss1 A B)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (forall ((E $$unsorted)) (let ((_let_1 (tptp.k4_tarski D E))) (=> (tptp.m1_subset_1 E (tptp.u1_struct_0 A)) (= (tptp.r2_hidden _let_1 C) (and (tptp.r2_hidden _let_1 B) (forall ((F $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_pua2mss1 F (tptp.k3_finseq_2 _let_1) _let_1 (tptp.k1_pua2mss1 _let_1 (tptp.u1_unialg_1 A))) (forall ((G $$unsorted)) (=> (and (tptp.v1_relat_1 G) (tptp.v1_funct_1 G) (tptp.v1_finseq_1 G)) (forall ((H $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.k7_finseq_1 (tptp.k7_finseq_1 G (tptp.k12_finseq_1 _let_1 E)) H))) (let ((_let_3 (tptp.k7_finseq_1 (tptp.k7_finseq_1 G (tptp.k12_finseq_1 _let_1 D)) H))) (let ((_let_4 (tptp.k4_relset_1 (tptp.k3_finseq_2 _let_1) _let_1 F))) (=> (and (tptp.v1_relat_1 H) (tptp.v1_funct_1 H) (tptp.v1_finseq_1 H)) (=> (and (tptp.r2_hidden _let_3 _let_4) (tptp.r2_hidden _let_2 _let_4)) (tptp.r2_hidden (tptp.k4_tarski (tptp.k1_funct_1 F _let_3) (tptp.k1_funct_1 F _let_2)) B))))))))))))))))))))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v6_unialg_1 A) (tptp.v8_unialg_1 A) (tptp.l1_unialg_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m2_relset_1 B _let_1 _let_1) (forall ((C $$unsorted)) (=> (tptp.m2_subset_1 C tptp.k1_numbers tptp.k5_numbers) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m2_relset_1 D _let_1 _let_1) (= (= D (tptp.k9_pua2mss1 A B C)) (exists ((E $$unsorted)) (and (tptp.m1_pboole E tptp.k5_numbers) (= D (tptp.k1_funct_1 E C)) (= (tptp.k1_funct_1 E tptp.np__0) B) (forall ((F $$unsorted)) (=> (tptp.m2_subset_1 F tptp.k1_numbers tptp.k5_numbers) (forall ((G $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m2_relset_1 G _let_1 _let_1) (=> (= G (tptp.k1_funct_1 E F)) (= (tptp.k1_funct_1 E (tptp.k1_nat_1 F tptp.np__1)) (tptp.k8_pua2mss1 A G))))))))))))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v6_unialg_1 A) (tptp.v8_unialg_1 A) (tptp.l1_unialg_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m2_relset_1 B _let_1 _let_1) (and (= (tptp.k9_pua2mss1 A B tptp.np__0) B) (= (tptp.k9_pua2mss1 A B tptp.np__1) (tptp.k8_pua2mss1 A B)))))))) (forall ((A $$unsorted)) (=> (and (tptp.v6_unialg_1 A) (tptp.v8_unialg_1 A) (tptp.l1_unialg_1 A)) (forall ((B $$unsorted)) (=> (tptp.m2_subset_1 B tptp.k1_numbers tptp.k5_numbers) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m2_relset_1 C _let_1 _let_1) (= (tptp.k9_pua2mss1 A C (tptp.k1_nat_1 B tptp.np__1)) (tptp.k8_pua2mss1 A (tptp.k9_pua2mss1 A C B)))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v6_unialg_1 A) (tptp.v8_unialg_1 A) (tptp.l1_unialg_1 A)) (forall ((B $$unsorted)) (=> (tptp.m2_subset_1 B tptp.k1_numbers tptp.k5_numbers) (forall ((C $$unsorted)) (=> (tptp.m2_subset_1 C tptp.k1_numbers tptp.k5_numbers) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m2_relset_1 D _let_1 _let_1) (= (tptp.k9_pua2mss1 A D (tptp.k1_nat_1 B C)) (tptp.k9_pua2mss1 A (tptp.k9_pua2mss1 A D B) C))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v6_unialg_1 A) (tptp.v8_unialg_1 A) (tptp.l1_unialg_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k8_pua2mss1 A B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (tptp.v3_relat_2 B) (tptp.v8_relat_2 B) (tptp.v1_partfun1 B _let_2 _let_2) (tptp.m2_relset_1 B _let_2 _let_2)) (=> (tptp.r1_tarski B (tptp.k7_pua2mss1 A)) (and (tptp.v1_partfun1 _let_1 _let_2 _let_2) (tptp.v3_relat_2 _let_1) (tptp.v8_relat_2 _let_1))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v6_unialg_1 A) (tptp.v8_unialg_1 A) (tptp.l1_unialg_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m2_relset_1 B _let_1 _let_1) (tptp.r1_tarski (tptp.k8_pua2mss1 A B) B)))))) (forall ((A $$unsorted)) (=> (and (tptp.v6_unialg_1 A) (tptp.v8_unialg_1 A) (tptp.l1_unialg_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (tptp.v3_relat_2 B) (tptp.v8_relat_2 B) (tptp.v1_partfun1 B _let_1 _let_1) (tptp.m2_relset_1 B _let_1 _let_1)) (=> (tptp.r1_tarski B (tptp.k7_pua2mss1 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k9_pua2mss1 A B C))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (tptp.m2_subset_1 C tptp.k1_numbers tptp.k5_numbers) (and (tptp.v1_partfun1 _let_1 _let_2 _let_2) (tptp.v3_relat_2 _let_1) (tptp.v8_relat_2 _let_1)))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v6_unialg_1 A) (tptp.v8_unialg_1 A) (tptp.l1_unialg_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m2_relset_1 B _let_1 _let_1) (= (= B (tptp.k10_pua2mss1 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (= (tptp.r2_hidden (tptp.k4_tarski C D) B) (forall ((E $$unsorted)) (=> (tptp.m2_subset_1 E tptp.k1_numbers tptp.k5_numbers) (tptp.r2_hidden (tptp.k4_tarski C D) (tptp.k9_pua2mss1 A (tptp.k7_pua2mss1 A) E))))))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v6_unialg_1 A) (tptp.v8_unialg_1 A) (tptp.l1_unialg_1 A)) (tptp.r1_tarski (tptp.k10_pua2mss1 A) (tptp.k7_pua2mss1 A)))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_funct_1 B) (tptp.m2_relset_1 B (tptp.k3_finseq_2 A) A)) (forall ((C $$unsorted)) (=> (tptp.m1_eqrel_1 C A) (= (tptp.r1_pua2mss1 A B C) (forall ((D $$unsorted)) (=> (tptp.m2_finseq_1 D C) (exists ((E $$unsorted)) (and (tptp.m2_subset_1 E (tptp.k1_zfmisc_1 A) C) (tptp.r1_tarski (tptp.k9_relat_1 B (tptp.k4_card_3 D)) E)))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_funct_1 B) (tptp.m2_relset_1 B (tptp.k3_finseq_2 A) A)) (forall ((C $$unsorted)) (=> (tptp.m1_eqrel_1 C A) (= (tptp.r2_pua2mss1 A B C) (and (tptp.r1_pua2mss1 A B C) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k4_relset_1 (tptp.k3_finseq_2 A) A B))) (let ((_let_2 (tptp.k4_card_3 D))) (=> (tptp.m2_finseq_1 D C) (=> (not (tptp.r1_xboole_0 _let_2 _let_1)) (tptp.r1_tarski _let_2 _let_1)))))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v6_unialg_1 A) (tptp.v8_unialg_1 A) (tptp.l1_unialg_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_pua2mss1 B (tptp.k3_finseq_2 _let_1) _let_1 (tptp.k1_pua2mss1 _let_1 (tptp.u1_unialg_1 A))) (tptp.r2_pua2mss1 _let_1 B (tptp.k3_pua2mss1 _let_1))))))) (forall ((A $$unsorted)) (=> (and (tptp.v6_unialg_1 A) (tptp.v8_unialg_1 A) (tptp.l1_unialg_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_pua2mss1 B (tptp.k3_finseq_2 _let_1) _let_1 (tptp.k1_pua2mss1 _let_1 (tptp.u1_unialg_1 A))) (tptp.r2_pua2mss1 _let_1 B (tptp.k8_eqrel_1 _let_1 (tptp.k10_pua2mss1 A)))))))) (forall ((A $$unsorted)) (=> (and (tptp.v6_unialg_1 A) (tptp.v8_unialg_1 A) (tptp.l1_unialg_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_eqrel_1 B (tptp.u1_struct_0 A)) (= (tptp.m3_pua2mss1 B A) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_pua2mss1 C (tptp.k3_finseq_2 _let_1) _let_1 (tptp.k1_pua2mss1 _let_1 (tptp.u1_unialg_1 A))) (tptp.r2_pua2mss1 _let_1 C B))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v6_unialg_1 A) (tptp.v8_unialg_1 A) (tptp.l1_unialg_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m2_pua2mss1 B _let_1) (= (tptp.m4_pua2mss1 B A) (tptp.m3_pua2mss1 (tptp.k4_pua2mss1 _let_1 B) A))))))) (forall ((A $$unsorted)) (=> (and (tptp.v6_unialg_1 A) (tptp.v8_unialg_1 A) (tptp.l1_unialg_1 A)) (tptp.m3_pua2mss1 (tptp.k8_eqrel_1 (tptp.u1_struct_0 A) (tptp.k10_pua2mss1 A)) A))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (tptp.m1_eqrel_1 B A) (forall ((C $$unsorted)) (=> (tptp.m2_finseq_1 C B) (forall ((D $$unsorted)) (=> (and (tptp.v1_relat_1 D) (tptp.v1_funct_1 D) (tptp.v1_finseq_1 D)) (forall ((E $$unsorted)) (=> (and (tptp.v1_relat_1 E) (tptp.v1_funct_1 E) (tptp.v1_finseq_1 E)) (forall ((F $$unsorted) (G $$unsorted)) (let ((_let_1 (tptp.k4_card_3 C))) (=> (tptp.r2_hidden (tptp.k7_finseq_1 (tptp.k7_finseq_1 D (tptp.k9_finseq_1 F)) E) _let_1) (or (forall ((H $$unsorted)) (=> (tptp.m2_subset_1 H (tptp.k1_zfmisc_1 A) B) (not (and (tptp.r2_hidden F H) (tptp.r2_hidden G H))))) (tptp.r2_hidden (tptp.k7_finseq_1 (tptp.k7_finseq_1 D (tptp.k9_finseq_1 G)) E) _let_1))))))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v6_unialg_1 A) (tptp.v8_unialg_1 A) (tptp.l1_unialg_1 A)) (forall ((B $$unsorted)) (=> (tptp.m3_pua2mss1 B A) (tptp.r1_setfam_1 B (tptp.k8_eqrel_1 (tptp.u1_struct_0 A) (tptp.k10_pua2mss1 A))))))) (forall ((A $$unsorted)) (=> (tptp.l1_msualg_1 A) (forall ((B $$unsorted)) (=> (tptp.l1_msualg_1 B) (forall ((C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (forall ((D $$unsorted)) (=> (and (tptp.v1_relat_1 D) (tptp.v1_funct_1 D)) (= (tptp.r3_pua2mss1 A B C D) (and (= (tptp.k1_relat_1 C) (tptp.u1_struct_0 A)) (= (tptp.k1_relat_1 D) (tptp.u1_msualg_1 A)) (tptp.r1_tarski (tptp.k2_relat_1 C) (tptp.u1_struct_0 B)) (tptp.r1_tarski (tptp.k2_relat_1 D) (tptp.u1_msualg_1 B)) (= (tptp.k5_relat_1 (tptp.u3_msualg_1 A) C) (tptp.k5_relat_1 D (tptp.u3_msualg_1 B))) (forall ((E $$unsorted) (F $$unsorted)) (=> (and (tptp.v1_relat_1 F) (tptp.v1_funct_1 F)) (=> (and (tptp.r2_hidden E (tptp.u1_msualg_1 A)) (= F (tptp.k1_funct_1 (tptp.u2_msualg_1 A) E))) (= (tptp.k5_relat_1 F C) (tptp.k1_funct_1 (tptp.u2_msualg_1 B) (tptp.k1_funct_1 D E)))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (not (tptp.v2_msualg_1 A)) (tptp.l1_msualg_1 A)) (tptp.r3_pua2mss1 A A (tptp.k6_partfun1 (tptp.u1_struct_0 A)) (tptp.k6_partfun1 (tptp.u1_msualg_1 A))))) (forall ((A $$unsorted)) (=> (tptp.l1_msualg_1 A) (forall ((B $$unsorted)) (=> (tptp.l1_msualg_1 B) (forall ((C $$unsorted)) (=> (tptp.l1_msualg_1 C) (forall ((D $$unsorted)) (=> (and (tptp.v1_relat_1 D) (tptp.v1_funct_1 D)) (forall ((E $$unsorted)) (=> (and (tptp.v1_relat_1 E) (tptp.v1_funct_1 E)) (forall ((F $$unsorted)) (=> (and (tptp.v1_relat_1 F) (tptp.v1_funct_1 F)) (forall ((G $$unsorted)) (=> (and (tptp.v1_relat_1 G) (tptp.v1_funct_1 G)) (=> (and (tptp.r3_pua2mss1 A B D F) (tptp.r3_pua2mss1 B C E G)) (tptp.r3_pua2mss1 A C (tptp.k5_relat_1 D E) (tptp.k5_relat_1 F G))))))))))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_msualg_1 A) (forall ((B $$unsorted)) (=> (tptp.l1_msualg_1 B) (= (tptp.r4_pua2mss1 A B) (exists ((C $$unsorted)) (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C) (exists ((D $$unsorted)) (and (tptp.v1_relat_1 D) (tptp.v1_funct_1 D) (tptp.r3_pua2mss1 B A C D) (= (tptp.k2_relat_1 C) (tptp.u1_struct_0 A)) (= (tptp.k2_relat_1 D) (tptp.u1_msualg_1 A))))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_msualg_1 A) (forall ((B $$unsorted)) (=> (tptp.l1_msualg_1 B) (forall ((C $$unsorted)) (=> (tptp.l1_msualg_1 C) (=> (and (tptp.r4_pua2mss1 A B) (tptp.r4_pua2mss1 B C)) (tptp.r4_pua2mss1 A C)))))))) (forall ((A $$unsorted)) (=> (and (tptp.v6_unialg_1 A) (tptp.v8_unialg_1 A) (tptp.l1_unialg_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (not (tptp.v2_msualg_1 B)) (tptp.l1_msualg_1 B)) (forall ((C $$unsorted)) (=> (tptp.l3_msualg_1 C B) (forall ((D $$unsorted)) (=> (tptp.m2_pua2mss1 D (tptp.u1_msualg_1 B)) (= (tptp.r6_pua2mss1 A B C D) (and (tptp.m4_pua2mss1 (tptp.u4_msualg_1 B C) A) (= (tptp.k1_relat_1 D) (tptp.k4_finseq_1 (tptp.u1_unialg_1 A))) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.k4_finseq_1 (tptp.u1_unialg_1 A))) (tptp.m2_pua2mss1 (tptp.k7_relat_1 (tptp.u5_msualg_1 B C) (tptp.k1_funct_1 D E)) (tptp.k2_pua2mss1 A E)))))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v6_unialg_1 A) (tptp.v8_unialg_1 A) (tptp.l1_unialg_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (not (tptp.v2_msualg_1 B)) (tptp.l1_msualg_1 B)) (= (tptp.r7_pua2mss1 A B) (exists ((C $$unsorted)) (and (tptp.l3_msualg_1 C B) (exists ((D $$unsorted)) (and (tptp.m2_pua2mss1 D (tptp.u1_msualg_1 B)) (tptp.r6_pua2mss1 A B C D)))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v6_unialg_1 A) (tptp.v8_unialg_1 A) (tptp.l1_unialg_1 A)) (forall ((B $$unsorted)) (=> (tptp.m3_pua2mss1 B A) (tptp.r7_pua2mss1 A (tptp.k12_pua2mss1 A B)))))) (forall ((A $$unsorted)) (=> (and (tptp.v6_unialg_1 A) (tptp.v8_unialg_1 A) (tptp.l1_unialg_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (not (tptp.v2_msualg_1 B)) (tptp.l1_msualg_1 B)) (forall ((C $$unsorted)) (=> (tptp.l3_msualg_1 C B) (forall ((D $$unsorted)) (=> (tptp.m2_pua2mss1 D (tptp.u1_msualg_1 B)) (=> (tptp.r6_pua2mss1 A B C D) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.k4_finseq_1 (tptp.u1_unialg_1 A))) (forall ((F $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m2_finseq_1 F (tptp.k2_relat_1 (tptp.u4_msualg_1 B C))) (not (and (tptp.r1_tarski (tptp.k4_card_3 F) (tptp.k4_relset_1 (tptp.k3_finseq_2 _let_1) _let_1 (tptp.k2_pua2mss1 A E))) (forall ((G $$unsorted)) (=> (tptp.m1_subset_1 G (tptp.u1_msualg_1 B)) (not (and (= (tptp.k5_relat_1 (tptp.k1_msualg_1 B G) (tptp.u4_msualg_1 B C)) F) (tptp.r2_hidden G (tptp.k1_funct_1 D E)))))))))))))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v6_unialg_1 A) (tptp.v8_unialg_1 A) (tptp.l1_unialg_1 A)) (forall ((B $$unsorted)) (=> (tptp.m3_pua2mss1 B A) (=> (= B (tptp.k8_eqrel_1 (tptp.u1_struct_0 A) (tptp.k10_pua2mss1 A))) (forall ((C $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (not (tptp.v2_msualg_1 C)) (tptp.l1_msualg_1 C)) (=> (tptp.r7_pua2mss1 A C) (tptp.r5_pua2mss1 (tptp.k12_pua2mss1 A B) C))))))))) (exists ((A $$unsorted)) (and (tptp.m2_relset_1 A tptp.f1_s1_pua2mss1 tptp.f2_s1_pua2mss1) (exists ((B $$unsorted)) (and (tptp.m1_pboole B tptp.k5_numbers) (= A (tptp.k1_funct_1 B tptp.f3_s1_pua2mss1)) (= (tptp.k1_funct_1 B tptp.np__0) tptp.f4_s1_pua2mss1) (forall ((C $$unsorted)) (=> (tptp.m2_subset_1 C tptp.k1_numbers tptp.k5_numbers) (forall ((D $$unsorted)) (=> (tptp.m2_relset_1 D tptp.f1_s1_pua2mss1 tptp.f2_s1_pua2mss1) (=> (= D (tptp.k1_funct_1 B C)) (= (tptp.k1_funct_1 B (tptp.k1_nat_1 C tptp.np__1)) (tptp.f5_s1_pua2mss1 D C))))))))))) (forall ((A $$unsorted)) (=> (tptp.m2_relset_1 A tptp.f1_s2_pua2mss1 tptp.f2_s2_pua2mss1) (forall ((B $$unsorted)) (=> (tptp.m2_relset_1 B tptp.f1_s2_pua2mss1 tptp.f2_s2_pua2mss1) (=> (and (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C tptp.f1_s2_pua2mss1) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D tptp.f2_s2_pua2mss1) (= (tptp.r2_hidden (tptp.k4_tarski C D) A) (tptp.p1_s2_pua2mss1 C D)))))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C tptp.f1_s2_pua2mss1) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D tptp.f2_s2_pua2mss1) (= (tptp.r2_hidden (tptp.k4_tarski C D) B) (tptp.p1_s2_pua2mss1 C D))))))) (= A B)))))) (forall ((A $$unsorted)) (=> (tptp.m2_relset_1 A tptp.f1_s3_pua2mss1 tptp.f2_s3_pua2mss1) (forall ((B $$unsorted)) (=> (tptp.m2_relset_1 B tptp.f1_s3_pua2mss1 tptp.f2_s3_pua2mss1) (not (and (exists ((C $$unsorted)) (and (tptp.m1_pboole C tptp.k5_numbers) (= A (tptp.k1_funct_1 C tptp.f3_s3_pua2mss1)) (= (tptp.k1_funct_1 C tptp.np__0) tptp.f4_s3_pua2mss1) (forall ((D $$unsorted)) (=> (tptp.m2_subset_1 D tptp.k1_numbers tptp.k5_numbers) (forall ((E $$unsorted)) (=> (tptp.m2_relset_1 E tptp.f1_s3_pua2mss1 tptp.f2_s3_pua2mss1) (=> (= E (tptp.k1_funct_1 C D)) (= (tptp.k1_funct_1 C (tptp.k1_nat_1 D tptp.np__1)) (tptp.f5_s3_pua2mss1 E D))))))))) (exists ((C $$unsorted)) (and (tptp.m1_pboole C tptp.k5_numbers) (= B (tptp.k1_funct_1 C tptp.f3_s3_pua2mss1)) (= (tptp.k1_funct_1 C tptp.np__0) tptp.f4_s3_pua2mss1) (forall ((D $$unsorted)) (=> (tptp.m2_subset_1 D tptp.k1_numbers tptp.k5_numbers) (forall ((E $$unsorted)) (=> (tptp.m2_relset_1 E tptp.f1_s3_pua2mss1 tptp.f2_s3_pua2mss1) (=> (= E (tptp.k1_funct_1 C D)) (= (tptp.k1_funct_1 C (tptp.k1_nat_1 D tptp.np__1)) (tptp.f5_s3_pua2mss1 E D))))))))) (not (= A B)))))))) (=> (and (tptp.p1_s4_pua2mss1 tptp.f1_s4_pua2mss1) (= (tptp.k3_finseq_1 tptp.f1_s4_pua2mss1) (tptp.k3_finseq_1 tptp.f2_s4_pua2mss1)) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_finseq_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (tptp.v1_finseq_1 B)) (forall ((C $$unsorted) (D $$unsorted)) (=> (and (tptp.p1_s4_pua2mss1 (tptp.k7_finseq_1 (tptp.k7_finseq_1 A (tptp.k9_finseq_1 C)) B)) (tptp.p2_s4_pua2mss1 C D)) (tptp.p1_s4_pua2mss1 (tptp.k7_finseq_1 (tptp.k7_finseq_1 A (tptp.k9_finseq_1 D)) B)))))))) (forall ((A $$unsorted)) (=> (tptp.m2_subset_1 A tptp.k1_numbers tptp.k5_numbers) (=> (tptp.r2_hidden A (tptp.k4_finseq_1 tptp.f1_s4_pua2mss1)) (tptp.p2_s4_pua2mss1 (tptp.k1_funct_1 tptp.f1_s4_pua2mss1 A) (tptp.k1_funct_1 tptp.f2_s4_pua2mss1 A)))))) (tptp.p1_s4_pua2mss1 tptp.f2_s4_pua2mss1)) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (not (tptp.v1_xboole_0 B)) (not (tptp.v1_xboole_0 C)) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.k4_partfun1 A B)))) (forall ((D $$unsorted)) (=> (tptp.m1_pua2mss1 D A B C) (and (tptp.v1_funct_1 D) (tptp.m2_relset_1 D A B)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (not (tptp.v1_xboole_0 B)) (not (tptp.v1_xboole_0 C)) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.k4_partfun1 A B)))) (exists ((D $$unsorted)) (tptp.m1_pua2mss1 D A B C)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (not (tptp.v1_xboole_0 B)) (not (tptp.v1_xboole_0 C)) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.k4_partfun1 A B)))) (forall ((D $$unsorted)) (= (tptp.m1_pua2mss1 D A B C) (tptp.m1_subset_1 D C))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m2_pua2mss1 B A) (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)))) (forall ((A $$unsorted)) (exists ((B $$unsorted)) (tptp.m2_pua2mss1 B A))) (forall ((A $$unsorted)) (=> (and (tptp.v6_unialg_1 A) (tptp.v8_unialg_1 A) (tptp.l1_unialg_1 A)) (forall ((B $$unsorted)) (=> (tptp.m3_pua2mss1 B A) (tptp.m1_eqrel_1 B (tptp.u1_struct_0 A)))))) (forall ((A $$unsorted)) (=> (and (tptp.v6_unialg_1 A) (tptp.v8_unialg_1 A) (tptp.l1_unialg_1 A)) (exists ((B $$unsorted)) (tptp.m3_pua2mss1 B A)))) (forall ((A $$unsorted)) (=> (and (tptp.v6_unialg_1 A) (tptp.v8_unialg_1 A) (tptp.l1_unialg_1 A)) (forall ((B $$unsorted)) (=> (tptp.m4_pua2mss1 B A) (tptp.m2_pua2mss1 B (tptp.u1_struct_0 A)))))) (forall ((A $$unsorted)) (=> (and (tptp.v6_unialg_1 A) (tptp.v8_unialg_1 A) (tptp.l1_unialg_1 A)) (exists ((B $$unsorted)) (tptp.m4_pua2mss1 B A)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (not (tptp.v2_msualg_1 A)) (tptp.l1_msualg_1 A) (not (tptp.v3_struct_0 B)) (not (tptp.v2_msualg_1 B)) (tptp.l1_msualg_1 B)) (tptp.r5_pua2mss1 A A))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (not (tptp.v2_msualg_1 A)) (tptp.l1_msualg_1 A) (not (tptp.v3_struct_0 B)) (not (tptp.v2_msualg_1 B)) (tptp.l1_msualg_1 B)) (= (tptp.r5_pua2mss1 A B) (tptp.r4_pua2mss1 A B)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.m1_finseq_1 B (tptp.k4_partfun1 (tptp.k13_finseq_1 A) A))) (tptp.m1_subset_1 (tptp.k1_pua2mss1 A B) (tptp.k1_zfmisc_1 (tptp.k4_partfun1 (tptp.k3_finseq_2 A) A))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.m1_finseq_1 B (tptp.k4_partfun1 (tptp.k13_finseq_1 A) A))) (= (tptp.k1_pua2mss1 A B) (tptp.k2_relat_1 B)))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.u1_unialg_1 A))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (tptp.v8_unialg_1 A) (tptp.l1_unialg_1 A) (tptp.m1_subset_1 B (tptp.k4_finseq_1 _let_1))) (tptp.m1_pua2mss1 (tptp.k2_pua2mss1 A B) (tptp.k3_finseq_2 _let_2) _let_2 (tptp.k1_pua2mss1 _let_2 _let_1)))))) (forall ((A $$unsorted)) (tptp.m1_eqrel_1 (tptp.k3_pua2mss1 A) A)) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m2_pua2mss1 B A) (tptp.m1_eqrel_1 (tptp.k4_pua2mss1 A B) A))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m2_pua2mss1 B A) (= (tptp.k4_pua2mss1 A B) (tptp.k2_relat_1 B)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_eqrel_1 B A) (tptp.m2_pua2mss1 (tptp.k5_pua2mss1 A B) A))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_eqrel_1 B A) (= (tptp.k5_pua2mss1 A B) (tptp.k6_relat_1 B)))) true (forall ((A $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (tptp.v6_unialg_1 A) (tptp.v8_unialg_1 A) (tptp.l1_unialg_1 A)) (tptp.m2_relset_1 (tptp.k7_pua2mss1 A) _let_1 _let_1)))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (tptp.v6_unialg_1 A) (tptp.v8_unialg_1 A) (tptp.l1_unialg_1 A) (tptp.m1_relset_1 B _let_1 _let_1)) (tptp.m2_relset_1 (tptp.k8_pua2mss1 A B) _let_1 _let_1)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (tptp.v6_unialg_1 A) (tptp.v8_unialg_1 A) (tptp.l1_unialg_1 A) (tptp.m1_relset_1 B _let_1 _let_1) (tptp.m1_subset_1 C tptp.k5_numbers)) (tptp.m2_relset_1 (tptp.k9_pua2mss1 A B C) _let_1 _let_1)))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (tptp.v6_unialg_1 A) (tptp.v8_unialg_1 A) (tptp.l1_unialg_1 A)) (tptp.m2_relset_1 (tptp.k10_pua2mss1 A) _let_1 _let_1)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v6_unialg_1 A) (tptp.v8_unialg_1 A) (tptp.l1_unialg_1 A) (tptp.m4_pua2mss1 B A)) (tptp.m3_pua2mss1 (tptp.k11_pua2mss1 A B) A))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v6_unialg_1 A) (tptp.v8_unialg_1 A) (tptp.l1_unialg_1 A) (tptp.m4_pua2mss1 B A)) (= (tptp.k11_pua2mss1 A B) (tptp.k2_relat_1 B)))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k12_pua2mss1 A B))) (=> (and (tptp.v6_unialg_1 A) (tptp.v8_unialg_1 A) (tptp.l1_unialg_1 A) (tptp.m3_pua2mss1 B A)) (and (tptp.v1_msualg_1 _let_1) (tptp.l1_msualg_1 _let_1))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v6_unialg_1 A) (tptp.v8_unialg_1 A) (tptp.l1_unialg_1 A) (tptp.m3_pua2mss1 B A) (tptp.m1_subset_1 C (tptp.u1_msualg_1 (tptp.k12_pua2mss1 A B)))) (tptp.m1_subset_1 (tptp.k13_pua2mss1 A B C) (tptp.k4_finseq_1 (tptp.u1_unialg_1 A))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v6_unialg_1 A) (tptp.v8_unialg_1 A) (tptp.l1_unialg_1 A) (tptp.m3_pua2mss1 B A) (tptp.m1_subset_1 C (tptp.u1_msualg_1 (tptp.k12_pua2mss1 A B)))) (= (tptp.k13_pua2mss1 A B C) (tptp.k1_mcart_1 C)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v6_unialg_1 A) (tptp.v8_unialg_1 A) (tptp.l1_unialg_1 A) (tptp.m3_pua2mss1 B A) (tptp.m1_subset_1 C (tptp.u1_msualg_1 (tptp.k12_pua2mss1 A B)))) (tptp.m2_finseq_2 (tptp.k14_pua2mss1 A B C) B (tptp.k3_finseq_2 B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v6_unialg_1 A) (tptp.v8_unialg_1 A) (tptp.l1_unialg_1 A) (tptp.m3_pua2mss1 B A) (tptp.m1_subset_1 C (tptp.u1_msualg_1 (tptp.k12_pua2mss1 A B)))) (= (tptp.k14_pua2mss1 A B C) (tptp.k2_mcart_1 C)))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (=> (tptp.m1_eqrel_1 C A) (forall ((D $$unsorted)) (=> (tptp.m1_eqrel_1 D B) (tptp.m1_eqrel_1 (tptp.a_4_0_pua2mss1 A B C D) (tptp.k2_zfmisc_1 A B)))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (tptp.m1_eqrel_1 B A) (tptp.m1_eqrel_1 (tptp.a_2_0_pua2mss1 A B) (tptp.k3_finseq_2 A)))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (tptp.m2_subset_1 B tptp.k1_numbers tptp.k5_numbers) (forall ((C $$unsorted)) (=> (tptp.m1_eqrel_1 C A) (tptp.m1_eqrel_1 (tptp.a_3_0_pua2mss1 A B C) (tptp.k4_finseq_2 B A)))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (tptp.r1_tarski B A) (forall ((C $$unsorted)) (=> (tptp.m1_eqrel_1 C A) (tptp.m1_eqrel_1 (tptp.a_3_1_pua2mss1 A B C) B))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_eqrel_1 B (tptp.k1_relat_1 A)) (tptp.m1_eqrel_1 (tptp.a_2_1_pua2mss1 A B) A))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (= (tptp.k3_pua2mss1 A) (tptp.a_1_0_pua2mss1 A)))) (forall ((A $$unsorted)) (=> (and (tptp.v6_unialg_1 A) (tptp.v8_unialg_1 A) (tptp.l1_unialg_1 A)) (forall ((B $$unsorted)) (=> (tptp.m3_pua2mss1 B A) (forall ((C $$unsorted)) (=> (and (tptp.v1_msualg_1 C) (tptp.l1_msualg_1 C)) (= (= C (tptp.k12_pua2mss1 A B)) (and (= (tptp.u1_struct_0 C) B) (= (tptp.u1_msualg_1 C) (tptp.a_2_2_pua2mss1 A B)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k4_finseq_1 (tptp.u1_unialg_1 A))) (forall ((E $$unsorted)) (let ((_let_1 (tptp.k4_tarski D E))) (let ((_let_2 (tptp.k4_card_3 E))) (let ((_let_3 (tptp.k2_pua2mss1 A D))) (let ((_let_4 (tptp.u1_struct_0 A))) (=> (tptp.m2_finseq_2 E B (tptp.k3_finseq_2 B)) (=> (not (tptp.r2_subset_1 _let_2 (tptp.k4_relset_1 (tptp.k3_finseq_2 _let_4) _let_4 _let_3))) (and (= (tptp.k1_funct_1 (tptp.u2_msualg_1 C) _let_1) E) (tptp.r1_tarski (tptp.k9_relat_1 _let_3 _let_2) (tptp.k1_funct_1 (tptp.u3_msualg_1 C) _let_1)))))))))))))))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (not (tptp.v1_xboole_0 C)) (tptp.m1_eqrel_1 D B) (tptp.m1_eqrel_1 E C)) (= (tptp.r2_hidden A (tptp.a_4_0_pua2mss1 B C D E)) (exists ((F $$unsorted) (G $$unsorted)) (and (tptp.m2_subset_1 F (tptp.k1_zfmisc_1 B) D) (tptp.m2_subset_1 G (tptp.k1_zfmisc_1 C) E) (= A (tptp.k12_mcart_1 B C F G))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.m1_eqrel_1 C B)) (= (tptp.r2_hidden A (tptp.a_2_0_pua2mss1 B C)) (exists ((D $$unsorted)) (and (tptp.m2_finseq_2 D C (tptp.k3_finseq_2 C)) (= A (tptp.k4_card_3 D))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.m2_subset_1 C tptp.k1_numbers tptp.k5_numbers) (tptp.m1_eqrel_1 D B)) (= (tptp.r2_hidden A (tptp.a_3_0_pua2mss1 B C D)) (exists ((E $$unsorted)) (and (tptp.m2_finseq_2 E D (tptp.k4_finseq_2 C D)) (= A (tptp.k4_card_3 E))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.m1_eqrel_1 D B)) (= (tptp.r2_hidden A (tptp.a_3_1_pua2mss1 B C D)) (exists ((E $$unsorted)) (and (tptp.m2_subset_1 E (tptp.k1_zfmisc_1 B) D) (= A (tptp.k3_xboole_0 E C)) (not (tptp.r1_xboole_0 E C))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (tptp.m1_eqrel_1 C (tptp.k1_relat_1 B))) (= (tptp.r2_hidden A (tptp.a_2_1_pua2mss1 B C)) (exists ((D $$unsorted)) (and (tptp.m2_subset_1 D (tptp.k1_zfmisc_1 (tptp.k1_relat_1 B)) C) (= A (tptp.k7_relat_1 B D))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (= (tptp.r2_hidden A (tptp.a_1_0_pua2mss1 B)) (exists ((C $$unsorted)) (and (tptp.m1_subset_1 C B) (= A (tptp.k1_tarski C))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v6_unialg_1 B) (tptp.v8_unialg_1 B) (tptp.l1_unialg_1 B) (tptp.m3_pua2mss1 C B)) (= (tptp.r2_hidden A (tptp.a_2_2_pua2mss1 B C)) (exists ((D $$unsorted) (E $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (and (tptp.m1_subset_1 D (tptp.k4_finseq_1 (tptp.u1_unialg_1 B))) (tptp.m2_finseq_2 E C (tptp.k3_finseq_2 C)) (= A (tptp.k4_tarski D E)) (not (tptp.r2_subset_1 (tptp.k4_card_3 E) (tptp.k4_relset_1 (tptp.k3_finseq_2 _let_1) _let_1 (tptp.k2_pua2mss1 B D)))))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 A)))) (=> (and (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (tptp.m1_subset_1 (tptp.k1_relset_2 A B C) _let_1)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 A)))) (=> (and (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (= (tptp.k1_relset_2 A B C) (tptp.k1_relset_2 A C B))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 A)))) (=> (and (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (= (tptp.k1_relset_2 A B B) B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 A)))) (=> (and (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (= (tptp.k1_relset_2 A B C) (tptp.k3_xboole_0 B C))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.m1_relset_1 C A B) (tptp.m1_subset_1 D A)) (tptp.m1_subset_1 (tptp.k2_relset_2 A B C D) (tptp.k1_zfmisc_1 B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.m1_relset_1 C A B) (tptp.m1_subset_1 D A)) (tptp.m1_subset_1 (tptp.k3_relset_2 A B C D) (tptp.k1_zfmisc_1 A)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 B))) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.k2_zfmisc_1 A _let_1))) (tptp.m1_subset_1 (tptp.k4_relset_2 A B C D) (tptp.k1_zfmisc_1 _let_1))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.k2_zfmisc_1 A (tptp.k1_zfmisc_1 B)))) (= (tptp.k4_relset_2 A B C D) (tptp.k9_relat_1 C D)))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k5_relset_2 A B))) (=> (tptp.v1_relat_1 B) (and (tptp.v1_relat_1 _let_1) (tptp.v1_funct_1 _let_1))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 A))) (let ((_let_2 (tptp.k1_zfmisc_1 B))) (let ((_let_3 (tptp.k6_relset_2 A B C))) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.k2_zfmisc_1 B A))) (and (tptp.v1_funct_1 _let_3) (tptp.v1_funct_2 _let_3 _let_2 _let_1) (tptp.m2_relset_1 _let_3 _let_2 _let_1))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.k2_zfmisc_1 B A))) (= (tptp.k6_relset_2 A B C) (tptp.k5_relset_2 B C)))) true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 A)) (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.k2_zfmisc_1 A B)))) (tptp.m1_subset_1 (tptp.k8_relset_2 A B C D) (tptp.k1_zfmisc_1 B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 A)) (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.k2_zfmisc_1 A B)))) (= (tptp.k8_relset_2 A B C D) (tptp.k7_relset_2 A B C D)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (=> (and (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.k2_zfmisc_1 A B))) (tptp.m1_subset_1 E (tptp.k1_zfmisc_1 (tptp.k2_zfmisc_1 B C)))) (tptp.m2_relset_1 (tptp.k9_relset_2 A B C D E) A C))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (=> (and (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.k2_zfmisc_1 A B))) (tptp.m1_subset_1 E (tptp.k1_zfmisc_1 (tptp.k2_zfmisc_1 B C)))) (= (tptp.k9_relset_2 A B C D E) (tptp.k5_relat_1 D E)))) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.r2_hidden A (tptp.k3_pua2mss1 B)) (exists ((C $$unsorted)) (and (= A (tptp.k1_tarski C)) (tptp.r2_hidden C B))))) (forall ((A $$unsorted)) (= (= A tptp.k1_xboole_0) (= (tptp.k3_pua2mss1 A) tptp.k1_xboole_0))) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.k3_pua2mss1 (tptp.k2_xboole_0 A B)) (tptp.k2_xboole_0 (tptp.k3_pua2mss1 A) (tptp.k3_pua2mss1 B)))) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.k3_pua2mss1 (tptp.k3_xboole_0 A B)) (tptp.k3_xboole_0 (tptp.k3_pua2mss1 A) (tptp.k3_pua2mss1 B)))) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.k3_pua2mss1 (tptp.k4_xboole_0 A B)) (tptp.k4_xboole_0 (tptp.k3_pua2mss1 A) (tptp.k3_pua2mss1 B)))) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.r1_tarski A B) (tptp.r1_tarski (tptp.k3_pua2mss1 A) (tptp.k3_pua2mss1 B)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 A))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 A))) (tptp.r1_tarski (tptp.k5_subset_1 A (tptp.k8_setfam_1 A B) (tptp.k8_setfam_1 A C)) (tptp.k8_setfam_1 A (tptp.k1_relset_2 A B C))))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (forall ((B $$unsorted)) (=> (tptp.v1_relat_1 B) (forall ((C $$unsorted)) (=> (tptp.v1_relat_1 C) (tptp.r1_tarski (tptp.k5_relat_1 (tptp.k3_xboole_0 A B) C) (tptp.k3_xboole_0 (tptp.k5_relat_1 A C) (tptp.k5_relat_1 B C))))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.m2_relset_1 C A B) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D A) (= (tptp.k2_relset_2 A B C D) (tptp.k10_relset_1 A B C (tptp.k1_tarski D))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.v1_relat_1 C) (= (tptp.r2_hidden A (tptp.k9_relat_1 C (tptp.k1_tarski B))) (tptp.r2_hidden (tptp.k4_tarski B A) C)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.v1_relat_1 B) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k1_tarski A))) (=> (tptp.v1_relat_1 C) (= (tptp.k9_relat_1 (tptp.k2_xboole_0 B C) _let_1) (tptp.k2_xboole_0 (tptp.k9_relat_1 B _let_1) (tptp.k9_relat_1 C _let_1)))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.v1_relat_1 B) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k1_tarski A))) (=> (tptp.v1_relat_1 C) (= (tptp.k9_relat_1 (tptp.k3_xboole_0 B C) _let_1) (tptp.k3_xboole_0 (tptp.k9_relat_1 B _let_1) (tptp.k9_relat_1 C _let_1)))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.v1_relat_1 B) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k1_tarski A))) (=> (tptp.v1_relat_1 C) (= (tptp.k9_relat_1 (tptp.k4_xboole_0 B C) _let_1) (tptp.k4_xboole_0 (tptp.k9_relat_1 B _let_1) (tptp.k9_relat_1 C _let_1)))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.v1_relat_1 B) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k3_pua2mss1 A))) (=> (tptp.v1_relat_1 C) (tptp.r1_tarski (tptp.k9_relat_1 (tptp.k3_xboole_0 B C) _let_1) (tptp.k3_xboole_0 (tptp.k9_relat_1 B _let_1) (tptp.k9_relat_1 C _let_1)))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.m2_relset_1 C A B) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D A) (= (tptp.k3_relset_2 A B C D) (tptp.k11_relset_1 A B C (tptp.k1_tarski D))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 A))) (forall ((C $$unsorted)) (=> (tptp.v1_relat_1 C) (= (tptp.k9_relat_1 C (tptp.k5_setfam_1 A B)) (tptp.k3_tarski (tptp.a_3_0_relset_2 A B C))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (= B (tptp.k3_tarski (tptp.a_2_0_relset_2 A B))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 A))) (=> (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 (tptp.a_2_0_relset_2 A B) (tptp.k1_zfmisc_1 _let_1))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted) (C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 A)) (forall ((D $$unsorted)) (=> (tptp.m2_relset_1 D A B) (= (tptp.k10_relset_1 A B D C) (tptp.k3_tarski (tptp.a_4_0_relset_2 A B C D))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted) (C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 A)) (forall ((D $$unsorted)) (=> (tptp.m2_relset_1 D A B) (tptp.m1_subset_1 (tptp.a_4_0_relset_2 A B C D) (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 B))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.v1_relat_1 B) (forall ((C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (= (= C (tptp.k5_relset_2 A B)) (and (= (tptp.k1_relat_1 C) (tptp.k1_zfmisc_1 A)) (forall ((D $$unsorted)) (=> (tptp.r1_tarski D A) (= (tptp.k1_funct_1 C D) (tptp.k9_relat_1 B D)))))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k5_relset_2 B D))) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.k2_zfmisc_1 B C))) (=> (tptp.r2_hidden A (tptp.k1_relat_1 _let_1)) (= (tptp.k1_funct_1 _let_1 A) (tptp.k9_relat_1 D A)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.k2_zfmisc_1 A B))) (tptp.r1_tarski (tptp.k2_relat_1 (tptp.k5_relset_2 A C)) (tptp.k1_zfmisc_1 (tptp.k2_relat_1 C))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 (tptp.k2_relat_1 C)))) (let ((_let_2 (tptp.k1_zfmisc_1 A))) (let ((_let_3 (tptp.k5_relset_2 A C))) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.k2_zfmisc_1 A B))) (and (tptp.v1_funct_1 _let_3) (tptp.v1_funct_2 _let_3 _let_2 _let_1) (tptp.m2_relset_1 _let_3 _let_2 _let_1))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.k2_zfmisc_1 A B))) (tptp.r1_tarski (tptp.k5_setfam_1 B (tptp.k4_relset_2 (tptp.k1_zfmisc_1 A) B (tptp.k6_relset_2 B A C) A)) (tptp.k9_relat_1 C (tptp.k3_tarski A))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.k2_zfmisc_1 A B))) (= (tptp.k7_relset_2 A B C D) (tptp.k8_setfam_1 B (tptp.k4_relset_2 (tptp.k1_zfmisc_1 A) B (tptp.k6_relset_2 B A D) (tptp.k3_pua2mss1 C)))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.k2_zfmisc_1 A B))) (= (= (tptp.k4_relset_2 (tptp.k1_zfmisc_1 A) B (tptp.k6_relset_2 B A D) (tptp.k3_pua2mss1 C)) tptp.k1_xboole_0) (= C tptp.k1_xboole_0)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 A)) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.k1_zfmisc_1 (tptp.k2_zfmisc_1 A B))) (=> (tptp.r2_hidden C (tptp.k8_relset_2 A B D E)) (forall ((F $$unsorted)) (=> (tptp.r2_hidden F D) (tptp.r2_hidden C (tptp.k9_relat_1 E (tptp.k1_tarski F)))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted) (C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 B)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D A) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.k1_zfmisc_1 (tptp.k2_zfmisc_1 B A))) (= (tptp.r2_hidden D (tptp.k8_relset_2 B A C E)) (forall ((F $$unsorted)) (=> (tptp.r2_hidden F C) (tptp.r2_hidden D (tptp.k9_relat_1 E (tptp.k1_tarski F)))))))))))))) (forall ((A $$unsorted) (B $$unsorted) (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 $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.k1_zfmisc_1 (tptp.k2_zfmisc_1 A B))) (=> (= (tptp.k4_relset_2 (tptp.k1_zfmisc_1 A) B (tptp.k6_relset_2 B A E) (tptp.k3_pua2mss1 C)) tptp.k1_xboole_0) (= (tptp.k8_relset_2 A B (tptp.k4_subset_1 A C D) E) (tptp.k8_relset_2 A B D E))))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$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 (tptp.k1_zfmisc_1 (tptp.k2_zfmisc_1 A B))) (= (tptp.k8_relset_2 A B (tptp.k4_subset_1 A C D) E) (tptp.k5_subset_1 B (tptp.k8_relset_2 A B C E) (tptp.k8_relset_2 A B D E))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted) (C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 A))) (forall ((D $$unsorted)) (=> (tptp.m2_relset_1 D A B) (tptp.m1_subset_1 (tptp.a_4_1_relset_2 A B C D) (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 B))))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.k2_zfmisc_1 A B))) (=> (= C tptp.k1_xboole_0) (= (tptp.k8_relset_2 A B C D) B)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 A))) (= (= (tptp.k5_setfam_1 A B) tptp.k1_xboole_0) (forall ((C $$unsorted)) (=> (tptp.r2_hidden C B) (= C tptp.k1_xboole_0)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (=> (tptp.m2_relset_1 C A B) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 A))) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 B))) (=> (= E (tptp.a_4_2_relset_2 A B C D)) (= (tptp.k8_relset_2 A B (tptp.k5_setfam_1 A D) C) (tptp.k8_setfam_1 B E))))))))))) (forall ((A $$unsorted) (B $$unsorted) (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 $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.k1_zfmisc_1 (tptp.k2_zfmisc_1 A B))) (=> (tptp.r1_tarski C D) (tptp.r1_tarski (tptp.k8_relset_2 A B D E) (tptp.k8_relset_2 A B C E))))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$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 (tptp.k1_zfmisc_1 (tptp.k2_zfmisc_1 A B))) (tptp.r1_tarski (tptp.k4_subset_1 B (tptp.k8_relset_2 A B C E) (tptp.k8_relset_2 A B D E)) (tptp.k8_relset_2 A B (tptp.k5_subset_1 A C D) E)))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.k2_zfmisc_1 A B))) (forall ((E $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A B))) (=> (tptp.m1_subset_1 E (tptp.k1_zfmisc_1 _let_1)) (= (tptp.k8_relset_2 A B C (tptp.k5_subset_1 _let_1 D E)) (tptp.k5_subset_1 B (tptp.k8_relset_2 A B C D) (tptp.k8_relset_2 A B C E)))))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 A)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A B))) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 _let_1))) (= (tptp.k9_relat_1 (tptp.k5_setfam_1 _let_1 D) C) (tptp.k3_tarski (tptp.a_4_3_relset_2 A B C D)))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 (tptp.k2_zfmisc_1 A B)))) (forall ((D $$unsorted) (E $$unsorted) (F $$unsorted)) (=> (tptp.m1_subset_1 F (tptp.k1_zfmisc_1 D)) (tptp.m1_subset_1 (tptp.a_6_0_relset_2 A B C D E F) (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 E))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.k2_zfmisc_1 A B))) (=> (= D tptp.k1_xboole_0) (or (= C tptp.k1_xboole_0) (= (tptp.k8_relset_2 A B C D) tptp.k1_xboole_0))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 A)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A B))) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 _let_1)) (=> (= D _let_1) (= (tptp.k8_relset_2 A B C D) B))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 B)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 (tptp.k2_zfmisc_1 B A)))) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 A))) (=> (= E (tptp.a_4_4_relset_2 A B C D)) (= (tptp.k8_relset_2 B A C (tptp.k8_setfam_1 (tptp.k2_zfmisc_1 B A) D)) (tptp.k8_setfam_1 A E))))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.k2_zfmisc_1 A B))) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.k1_zfmisc_1 (tptp.k2_zfmisc_1 A B))) (=> (tptp.r1_tarski D E) (tptp.r1_tarski (tptp.k8_relset_2 A B C D) (tptp.k8_relset_2 A B C E))))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.k2_zfmisc_1 A B))) (forall ((E $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A B))) (=> (tptp.m1_subset_1 E (tptp.k1_zfmisc_1 _let_1)) (tptp.r1_tarski (tptp.k4_subset_1 B (tptp.k8_relset_2 A B C D) (tptp.k8_relset_2 A B C E)) (tptp.k8_relset_2 A B C (tptp.k4_subset_1 _let_1 D E)))))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 C D))) (=> (tptp.m1_subset_1 E (tptp.k1_zfmisc_1 _let_1)) (= (tptp.r2_hidden A (tptp.k9_relat_1 (tptp.k3_subset_1 _let_1 E) (tptp.k1_tarski B))) (and (not (tptp.r2_hidden (tptp.k4_tarski B A) E)) (tptp.r2_hidden B C) (tptp.r2_hidden A D)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.k2_zfmisc_1 A B))) (=> (not (= C tptp.k1_xboole_0)) (tptp.r1_tarski (tptp.k8_relset_2 A B C D) (tptp.k9_relat_1 D C))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.k2_zfmisc_1 A B))) (forall ((D $$unsorted) (E $$unsorted)) (let ((_let_1 (tptp.r1_xboole_0 D (tptp.k9_relat_1 (tptp.k4_relat_1 C) E)))) (and (not (and (not _let_1) (forall ((F $$unsorted) (G $$unsorted)) (not (and (tptp.r2_hidden F D) (tptp.r2_hidden G E) (tptp.r2_hidden F (tptp.k9_relat_1 (tptp.k4_relat_1 C) (tptp.k1_tarski G)))))))) (not (and (exists ((F $$unsorted) (G $$unsorted)) (and (tptp.r2_hidden F D) (tptp.r2_hidden G E) (tptp.r2_hidden F (tptp.k9_relat_1 (tptp.k4_relat_1 C) (tptp.k1_tarski G))))) _let_1))))))) (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) (E $$unsorted)) (let ((_let_1 (tptp.r1_xboole_0 E (tptp.k9_relat_1 C D)))) (and (not (and (exists ((F $$unsorted) (G $$unsorted)) (and (tptp.r2_hidden F D) (tptp.r2_hidden G E) (tptp.r2_hidden F (tptp.k9_relat_1 (tptp.k4_relat_1 C) (tptp.k1_tarski G))))) _let_1)) (not (and (not _let_1) (forall ((F $$unsorted) (G $$unsorted)) (not (and (tptp.r2_hidden F D) (tptp.r2_hidden G E) (tptp.r2_hidden F (tptp.k9_relat_1 (tptp.k4_relat_1 C) (tptp.k1_tarski G))))))))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 B)) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.k1_zfmisc_1 (tptp.k2_zfmisc_1 A B))) (= (tptp.r1_xboole_0 C (tptp.k9_relat_1 (tptp.k4_relat_1 E) D)) (tptp.r1_xboole_0 D (tptp.k9_relat_1 E 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.k9_relat_1 C D) (tptp.k9_relat_1 C (tptp.k3_xboole_0 D (tptp.k1_funct_5 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)) (let ((_let_1 (tptp.k4_relat_1 C))) (= (tptp.k9_relat_1 _let_1 D) (tptp.k9_relat_1 _let_1 (tptp.k3_xboole_0 D (tptp.k2_funct_5 C)))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 A)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A B))) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 _let_1)) (= (tptp.k3_subset_1 B (tptp.k8_relset_2 A B C D)) (tptp.k9_relat_1 (tptp.k3_subset_1 _let_1 D) C))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 A)) (forall ((D $$unsorted)) (=> (tptp.m2_relset_1 D A B) (= (tptp.k3_subset_1 B (tptp.k10_relset_1 A B D C)) (tptp.k8_relset_2 A B C (tptp.k3_subset_1 (tptp.k2_zfmisc_1 A B) D))))))) _let_2 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (tptp.m2_relset_1 D A B) (forall ((E $$unsorted)) (let ((_let_1 (tptp.k1_funct_5 (tptp.k9_relset_2 A B C D E)))) (=> (tptp.m2_relset_1 E B C) (and (= _let_1 (tptp.k10_relset_1 B A (tptp.k6_relset_1 A B D) (tptp.k1_funct_5 E))) (tptp.r1_tarski _let_1 (tptp.k1_funct_5 D)))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (tptp.m2_relset_1 D A B) (forall ((E $$unsorted)) (let ((_let_1 (tptp.k2_funct_5 (tptp.k9_relset_2 A B C D E)))) (=> (tptp.m2_relset_1 E B C) (and (= _let_1 (tptp.k10_relset_1 B C E (tptp.k2_funct_5 D))) (tptp.r1_tarski _let_1 (tptp.k2_funct_5 E)))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 A)) (forall ((D $$unsorted)) (=> (tptp.m2_relset_1 D A B) (= (tptp.r1_tarski C (tptp.k1_funct_5 D)) (tptp.r1_tarski C (tptp.k10_relset_1 A A (tptp.k9_relset_2 A B A D (tptp.k6_relset_1 A B D)) C))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 B)) (forall ((D $$unsorted)) (=> (tptp.m2_relset_1 D A B) (= (tptp.r1_tarski C (tptp.k2_funct_5 D)) (tptp.r1_tarski C (tptp.k10_relset_1 B B (tptp.k9_relset_2 B A B (tptp.k6_relset_1 A B D) D) C))))))) _let_1 true))))))))))))))))))))))))))))))))))))))))))))))))))))
% 9.13/9.39 )
% 9.13/9.39 % SZS output end Proof for SEU444+2
% 9.13/9.39 % cvc5---1.0.5 exiting
% 9.13/9.39 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------