TSTP Solution File: GRP618+2 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : GRP618+2 : TPTP v8.1.2. Released v3.4.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n006.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 00:26:37 EDT 2023
% Result : Theorem 87.47s 87.73s
% Output : Proof 87.52s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.37 % Problem : GRP618+2 : TPTP v8.1.2. Released v3.4.0.
% 0.37/0.38 % Command : do_cvc5 %s %d
% 0.42/0.59 % Computer : n006.cluster.edu
% 0.42/0.59 % Model : x86_64 x86_64
% 0.42/0.59 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.42/0.59 % Memory : 8042.1875MB
% 0.42/0.59 % OS : Linux 3.10.0-693.el7.x86_64
% 0.42/0.59 % CPULimit : 300
% 0.42/0.59 % WCLimit : 300
% 0.42/0.59 % DateTime : Mon Aug 28 22:12:07 EDT 2023
% 0.42/0.59 % CPUTime :
% 0.45/1.11 %----Proving TF0_NAR, FOF, or CNF
% 87.47/87.72 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.CaxdGCZLR9/cvc5---1.0.5_6089.p...
% 87.47/87.72 ------- get file name : TPTP file name is GRP618+2
% 87.47/87.72 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_6089.smt2...
% 87.47/87.72 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 87.47/87.72 --- Run --no-e-matching --full-saturate-quant at 5...
% 87.47/87.72 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 5...
% 87.47/87.72 --- Run --finite-model-find --uf-ss=no-minimal at 5...
% 87.47/87.72 --- Run --multi-trigger-when-single --full-saturate-quant at 5...
% 87.47/87.72 --- Run --trigger-sel=max --full-saturate-quant at 5...
% 87.47/87.72 --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 5...
% 87.47/87.72 --- Run --multi-trigger-cache --full-saturate-quant at 5...
% 87.47/87.72 --- Run --prenex-quant=none --full-saturate-quant at 5...
% 87.47/87.72 --- Run --enum-inst-interleave --decision=internal --full-saturate-quant at 5...
% 87.47/87.72 --- Run --relevant-triggers --full-saturate-quant at 5...
% 87.47/87.72 --- Run --finite-model-find --e-matching --sort-inference --uf-ss-fair at 5...
% 87.47/87.73 --- Run --pre-skolem-quant=on --full-saturate-quant at 10...
% 87.47/87.73 --- Run --cbqi-vo-exp --full-saturate-quant at 10...
% 87.47/87.73 % SZS status Theorem for GRP618+2
% 87.47/87.73 % SZS output start Proof for GRP618+2
% 87.47/87.73 (
% 87.47/87.73 (let ((_let_1 (not (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v1_group_1 A) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_group_2 B A) (= (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 B)) (tptp.r1_rlvect_1 B (tptp.k2_group_3 A D C))))))) (tptp.v1_group_3 B A))))))))) (let ((_let_2 (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v1_group_1 A) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_group_2 B A) (=> (tptp.v1_group_3 B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 B)) (tptp.r1_rlvect_1 B (tptp.k2_group_3 A D C)))))))))))))) (let ((_let_3 (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v1_group_1 A) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_group_2 B A) (=> (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 B)) (tptp.r1_rlvect_1 B (tptp.k2_group_3 A D C))))))) (tptp.v1_group_3 B A)))))))) (let ((_let_4 (tptp.v3_vectsp_1 tptp.k3_vectsp_1))) (let ((_let_5 (tptp.v1_rlvect_1 tptp.k1_vectsp_1))) (let ((_let_6 (tptp.k2_group_1 tptp.k3_vectsp_1))) (let ((_let_7 (tptp.v2_group_1 tptp.k3_vectsp_1))) (let ((_let_8 (not (tptp.v3_struct_0 tptp.k3_vectsp_1)))) (let ((_let_9 (not (tptp.v3_struct_0 tptp.k1_vectsp_1)))) (let ((_let_10 (tptp.g1_group_1 tptp.k1_numbers tptp.k33_binop_2))) (let ((_let_11 (tptp.v4_group_1 _let_10))) (let ((_let_12 (tptp.v3_group_1 _let_10))) (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.k1_tarski tptp.k1_xboole_0))) (let ((_let_24 (tptp.r2_hidden tptp.k1_xboole_0 tptp.f1_s4_ordinal2))) (let ((_let_25 (= (tptp.k2_relat_1 tptp.k1_xboole_0) tptp.k1_xboole_0))) (let ((_let_26 (tptp.v3_ordinal1 tptp.k1_xboole_0))) (let ((_let_27 (tptp.v3_struct_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_107))) (let ((_let_28 (tptp.v1_group_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_107))) (let ((_let_29 (tptp.v3_group_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_107))) (let ((_let_30 (tptp.v4_group_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_107))) (let ((_let_31 (tptp.l1_group_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_107))) (let ((_let_32 (tptp.m1_group_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_108 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_107))) (let ((_let_33 (tptp.v1_group_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_108 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_107))) (let ((_let_34 (forall ((C $$unsorted) (BOUND_VARIABLE_158541 $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_107))) (or (not (tptp.m1_subset_1 C _let_1)) (not (tptp.m1_subset_1 BOUND_VARIABLE_158541 _let_1)) (not (tptp.m1_subset_1 BOUND_VARIABLE_158541 (tptp.u1_struct_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_108))) (tptp.r1_rlvect_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_108 (tptp.k2_group_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_107 BOUND_VARIABLE_158541 C))))))) (let ((_let_35 (not _let_34))) (let ((_let_36 (not _let_32))) (let ((_let_37 (not _let_31))) (let ((_let_38 (not _let_30))) (let ((_let_39 (not _let_29))) (let ((_let_40 (not _let_28))) (let ((_let_41 (or _let_27 _let_40 _let_39 _let_38 _let_37 _let_36 _let_35 _let_33))) (let ((_let_42 (forall ((C $$unsorted) (BOUND_VARIABLE_158688 $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_107))) (or (not (tptp.m1_subset_1 C _let_1)) (not (tptp.m1_subset_1 BOUND_VARIABLE_158688 _let_1)) (not (tptp.m1_subset_1 BOUND_VARIABLE_158688 (tptp.u1_struct_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_108))) (tptp.r1_rlvect_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_108 (tptp.k2_group_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_107 BOUND_VARIABLE_158688 C))))))) (let ((_let_43 (= _let_33 _let_42))) (let ((_let_44 (or _let_27 _let_40 _let_39 _let_38 _let_37 _let_36 _let_43))) (let ((_let_45 (forall ((A $$unsorted) (BOUND_VARIABLE_158719 $$unsorted)) (or (tptp.v3_struct_0 A) (not (tptp.v1_group_1 A)) (not (tptp.v3_group_1 A)) (not (tptp.v4_group_1 A)) (not (tptp.l1_group_1 A)) (not (tptp.m1_group_2 BOUND_VARIABLE_158719 A)) (= (tptp.v1_group_3 BOUND_VARIABLE_158719 A) (forall ((C $$unsorted) (BOUND_VARIABLE_158688 $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (or (not (tptp.m1_subset_1 C _let_1)) (not (tptp.m1_subset_1 BOUND_VARIABLE_158688 _let_1)) (not (tptp.m1_subset_1 BOUND_VARIABLE_158688 (tptp.u1_struct_0 BOUND_VARIABLE_158719))) (tptp.r1_rlvect_1 BOUND_VARIABLE_158719 (tptp.k2_group_3 A BOUND_VARIABLE_158688 C)))))))))) (let ((_let_46 (not _let_44))) (let ((_let_47 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_48 (or))) (let ((_let_49 (not _let_45))) (let ((_let_50 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_47) :args (_let_49))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_49) _let_45))) (REFL :args (_let_46)) :args _let_48)) _let_47 :args (_let_46 true _let_45)))) (let ((_let_51 (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_44 0)) _let_50 :args ((not _let_27) true _let_44)))) (let ((_let_52 (REFL :args (_let_44)))) (let ((_let_53 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_44 1)) (CONG _let_52 (MACRO_SR_PRED_INTRO :args ((= (not _let_40) _let_28))) :args _let_48)) :args ((or _let_28 _let_44))) _let_50 :args (_let_28 true _let_44)))) (let ((_let_54 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_44 2)) (CONG _let_52 (MACRO_SR_PRED_INTRO :args ((= (not _let_39) _let_29))) :args _let_48)) :args ((or _let_29 _let_44))) _let_50 :args (_let_29 true _let_44)))) (let ((_let_55 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_44 3)) (CONG _let_52 (MACRO_SR_PRED_INTRO :args ((= (not _let_38) _let_30))) :args _let_48)) :args ((or _let_30 _let_44))) _let_50 :args (_let_30 true _let_44)))) (let ((_let_56 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_44 4)) (CONG _let_52 (MACRO_SR_PRED_INTRO :args ((= (not _let_37) _let_31))) :args _let_48)) :args ((or _let_31 _let_44))) _let_50 :args (_let_31 true _let_44)))) (let ((_let_57 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_44 5)) (CONG _let_52 (MACRO_SR_PRED_INTRO :args ((= (not _let_36) _let_32))) :args _let_48)) :args ((or _let_32 _let_44))) _let_50 :args (_let_32 true _let_44)))) (let ((_let_58 (tptp.r1_rlvect_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_108 (tptp.k2_group_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_107 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_192 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_191)))) (let ((_let_59 (tptp.m1_subset_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_192 (tptp.u1_struct_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_108)))) (let ((_let_60 (not _let_59))) (let ((_let_61 (tptp.u1_struct_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_107))) (let ((_let_62 (tptp.m1_subset_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_192 _let_61))) (let ((_let_63 (not _let_62))) (let ((_let_64 (tptp.m1_subset_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_191 _let_61))) (let ((_let_65 (not _let_64))) (let ((_let_66 (or _let_65 _let_63 _let_60 _let_58))) (let ((_let_67 (not _let_33))) (let ((_let_68 (or _let_27 _let_40 _let_39 _let_38 _let_37 _let_36 _let_67 _let_65 _let_63 _let_60 _let_58))) (let ((_let_69 (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_44 6)) _let_50 :args ((not _let_43) true _let_44)))) (let ((_let_70 (_let_43))) (let ((_let_71 (not _let_42))) (let ((_let_72 (_let_71))) (let ((_let_73 (REFL :args (_let_66)))) (let ((_let_74 (forall ((A $$unsorted) (BOUND_VARIABLE_158656 $$unsorted) (BOUND_VARIABLE_158654 $$unsorted) (BOUND_VARIABLE_158652 $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (or (tptp.v3_struct_0 A) (not (tptp.v1_group_1 A)) (not (tptp.v3_group_1 A)) (not (tptp.v4_group_1 A)) (not (tptp.l1_group_1 A)) (not (tptp.m1_group_2 BOUND_VARIABLE_158652 A)) (not (tptp.v1_group_3 BOUND_VARIABLE_158652 A)) (not (tptp.m1_subset_1 BOUND_VARIABLE_158656 _let_1)) (not (tptp.m1_subset_1 BOUND_VARIABLE_158654 _let_1)) (not (tptp.m1_subset_1 BOUND_VARIABLE_158654 (tptp.u1_struct_0 BOUND_VARIABLE_158652))) (tptp.r1_rlvect_1 BOUND_VARIABLE_158652 (tptp.k2_group_3 A BOUND_VARIABLE_158654 BOUND_VARIABLE_158656))))))) (let ((_let_75 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_76 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_68)) :args ((or _let_27 _let_40 _let_39 _let_38 _let_37 _let_36 _let_67 _let_65 _let_63 _let_60 _let_58 (not _let_68)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_75 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_107 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_191 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_192 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_108 QUANTIFIERS_INST_CBQI_CONFLICT)) :args (_let_74))) _let_75 :args (_let_68 false _let_74)) _let_57 _let_56 _let_55 _let_54 _let_53 _let_51 (CNF_OR_NEG :args (_let_66 3)) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_66 2)) (CONG _let_73 (MACRO_SR_PRED_INTRO :args ((= (not _let_60) _let_59))) :args _let_48)) :args ((or _let_59 _let_66))) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_66 1)) (CONG _let_73 (MACRO_SR_PRED_INTRO :args ((= (not _let_63) _let_62))) :args _let_48)) :args ((or _let_62 _let_66))) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_66 0)) (CONG _let_73 (MACRO_SR_PRED_INTRO :args ((= (not _let_65) _let_64))) :args _let_48)) :args ((or _let_64 _let_66))) (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_72)) :args _let_72)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_71) _let_42))) (REFL :args ((not _let_66))) :args _let_48)) (CNF_EQUIV_NEG2 :args _let_70) _let_69 :args (_let_67 false _let_68 false _let_32 false _let_31 false _let_30 false _let_29 false _let_28 true _let_27 true _let_58 false _let_59 false _let_62 false _let_64 true _let_66 true _let_42 true _let_43)))) (let ((_let_77 (forall ((A $$unsorted) (BOUND_VARIABLE_158573 $$unsorted)) (or (tptp.v3_struct_0 A) (not (tptp.v1_group_1 A)) (not (tptp.v3_group_1 A)) (not (tptp.v4_group_1 A)) (not (tptp.l1_group_1 A)) (not (tptp.m1_group_2 BOUND_VARIABLE_158573 A)) (not (forall ((C $$unsorted) (BOUND_VARIABLE_158541 $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (or (not (tptp.m1_subset_1 C _let_1)) (not (tptp.m1_subset_1 BOUND_VARIABLE_158541 _let_1)) (not (tptp.m1_subset_1 BOUND_VARIABLE_158541 (tptp.u1_struct_0 BOUND_VARIABLE_158573))) (tptp.r1_rlvect_1 BOUND_VARIABLE_158573 (tptp.k2_group_3 A BOUND_VARIABLE_158541 C)))))) (tptp.v1_group_3 BOUND_VARIABLE_158573 A))))) (let ((_let_78 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_41)) :args ((or _let_27 _let_40 _let_39 _let_38 _let_37 _let_36 _let_33 _let_35 (not _let_41)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_78 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_107 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_108 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.m1_group_2 BOUND_VARIABLE_158573 A) false))))) :args (_let_77))) _let_78 :args (_let_41 false _let_77)) (MACRO_RESOLUTION_TRUST (EQUIV_ELIM1 (ALPHA_EQUIV :args (_let_42 (= C C) (= BOUND_VARIABLE_158688 BOUND_VARIABLE_158541)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_NEG1 :args _let_70) :args ((or _let_33 _let_42 _let_43))) _let_76 _let_69 :args (_let_42 true _let_33 true _let_43)) :args (_let_34 false _let_42)) _let_76 _let_57 _let_56 _let_55 _let_54 _let_53 _let_51 :args (false false _let_41 false _let_34 true _let_33 false _let_32 false _let_31 false _let_30 false _let_29 false _let_28 true _let_27)) :args ((forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.r2_hidden A B) (not (tptp.r2_hidden B A)))) true (forall ((A $$unsorted) (B $$unsorted)) (=> (forall ((C $$unsorted)) (= (tptp.r2_hidden C A) (tptp.r2_hidden C B))) (= A B))) (forall ((A $$unsorted) (B $$unsorted)) (= (= B (tptp.k1_tarski A)) (forall ((C $$unsorted)) (= (tptp.r2_hidden C B) (= C A))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (= C (tptp.k2_tarski A B)) (forall ((D $$unsorted)) (= (tptp.r2_hidden D C) (or (= D A) (= D B)))))) true true (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.r1_tarski A B) (forall ((C $$unsorted)) (=> (tptp.r2_hidden C A) (tptp.r2_hidden C B))))) (forall ((A $$unsorted) (B $$unsorted)) (= (= B (tptp.k3_tarski A)) (forall ((C $$unsorted)) (= (tptp.r2_hidden C B) (exists ((D $$unsorted)) (and (tptp.r2_hidden C D) (tptp.r2_hidden D A))))))) true true (forall ((A $$unsorted) (B $$unsorted)) (not (and (tptp.r2_hidden A B) (forall ((C $$unsorted)) (not (and (tptp.r2_hidden C B) (forall ((D $$unsorted)) (not (and (tptp.r2_hidden D B) (tptp.r2_hidden D C)))))))))) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.k4_tarski A B) (tptp.k2_tarski (tptp.k2_tarski A B) (tptp.k1_tarski A)))) true (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.r2_tarski A B) (exists ((C $$unsorted)) (and (forall ((D $$unsorted)) (not (and (tptp.r2_hidden D A) (forall ((E $$unsorted)) (not (and (tptp.r2_hidden E B) (tptp.r2_hidden (tptp.k4_tarski D E) C))))))) (forall ((D $$unsorted)) (not (and (tptp.r2_hidden D B) (forall ((E $$unsorted)) (not (and (tptp.r2_hidden E A) (tptp.r2_hidden (tptp.k4_tarski E D) C))))))) (forall ((D $$unsorted) (E $$unsorted) (F $$unsorted) (G $$unsorted)) (=> (and (tptp.r2_hidden (tptp.k4_tarski D E) C) (tptp.r2_hidden (tptp.k4_tarski F G) C)) (= (= D F) (= E G)))))))) (forall ((A $$unsorted)) (exists ((B $$unsorted)) (and (tptp.r2_hidden A B) (forall ((C $$unsorted) (D $$unsorted)) (=> (and (tptp.r2_hidden C B) (tptp.r1_tarski D C)) (tptp.r2_hidden D B))) (forall ((C $$unsorted)) (not (and (tptp.r2_hidden C B) (forall ((D $$unsorted)) (not (and (tptp.r2_hidden D B) (forall ((E $$unsorted)) (=> (tptp.r1_tarski E C) (tptp.r2_hidden E D))))))))) (forall ((C $$unsorted)) (not (and (tptp.r1_tarski C B) (not (tptp.r2_tarski C B)) (not (tptp.r2_hidden C B)))))))) (=> (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.p1_s1_tarski A B) (tptp.p1_s1_tarski A C)) (= B C))) (exists ((A $$unsorted)) (forall ((B $$unsorted)) (= (tptp.r2_hidden B A) (exists ((C $$unsorted)) (and (tptp.r2_hidden C tptp.f1_s1_tarski) (tptp.p1_s1_tarski C B))))))) (forall ((A $$unsorted) (B $$unsorted)) (tptp.r1_tarski A A)) true true (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.k2_tarski A B) (tptp.k2_tarski B A))) true true _let_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 $$unsorted)) (not (tptp.v1_xboole_0 (tptp.k4_tarski A B)))) (forall ((A $$unsorted) (B $$unsorted)) (= (= B (tptp.k1_zfmisc_1 A)) (forall ((C $$unsorted)) (= (tptp.r2_hidden C B) (tptp.r1_tarski C A))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (= C (tptp.k2_zfmisc_1 A B)) (forall ((D $$unsorted)) (= (tptp.r2_hidden D C) (exists ((E $$unsorted) (F $$unsorted)) (and (tptp.r2_hidden E A) (tptp.r2_hidden F B) (= D (tptp.k4_tarski E F)))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.k3_zfmisc_1 A B C) (tptp.k2_zfmisc_1 (tptp.k2_zfmisc_1 A B) C))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (= (tptp.k4_zfmisc_1 A B C D) (tptp.k2_zfmisc_1 (tptp.k3_zfmisc_1 A B C) D))) (= (tptp.k1_zfmisc_1 tptp.k1_xboole_0) _let_23) (= (tptp.k3_tarski tptp.k1_xboole_0) tptp.k1_xboole_0) true true true (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.r1_tarski (tptp.k1_tarski A) (tptp.k1_tarski B)) (= A B))) true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (= (tptp.k1_tarski A) (tptp.k2_tarski B C)) (= A B))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (= (tptp.k1_tarski A) (tptp.k2_tarski B C)) (= B C))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (not (and (= (tptp.k2_tarski A B) (tptp.k2_tarski C D)) (not (= A C)) (not (= A D))))) true (forall ((A $$unsorted) (B $$unsorted)) (tptp.r1_tarski (tptp.k1_tarski A) (tptp.k2_tarski A B))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k1_tarski A))) (=> (= (tptp.k2_xboole_0 _let_1 (tptp.k1_tarski B)) _let_1) (= A B)))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k2_tarski A B))) (= (tptp.k2_xboole_0 (tptp.k1_tarski A) _let_1) _let_1))) true (forall ((A $$unsorted) (B $$unsorted)) (not (and (tptp.r1_xboole_0 (tptp.k1_tarski A) (tptp.k1_tarski B)) (= A B)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (not (= A B)) (tptp.r1_xboole_0 (tptp.k1_tarski A) (tptp.k1_tarski B)))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k1_tarski A))) (=> (= (tptp.k3_xboole_0 _let_1 (tptp.k1_tarski B)) _let_1) (= A B)))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k1_tarski A))) (= (tptp.k3_xboole_0 _let_1 (tptp.k2_tarski A B)) _let_1))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k1_tarski A))) (= (= (tptp.k4_xboole_0 _let_1 (tptp.k1_tarski B)) _let_1) (not (= A B))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (= (tptp.k4_xboole_0 (tptp.k1_tarski A) (tptp.k1_tarski B)) tptp.k1_xboole_0) (= A B))) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.k4_xboole_0 (tptp.k1_tarski A) (tptp.k2_tarski A B)) tptp.k1_xboole_0)) (forall ((A $$unsorted) (B $$unsorted)) (=> (not (= A B)) (= (tptp.k4_xboole_0 (tptp.k2_tarski A B) (tptp.k1_tarski B)) (tptp.k1_tarski A)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.r1_tarski (tptp.k1_tarski A) (tptp.k1_tarski B)) (= A B))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (not (and (tptp.r1_tarski (tptp.k1_tarski A) (tptp.k2_tarski B C)) (not (= A B)) (not (= A C))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.r1_tarski (tptp.k2_tarski A B) (tptp.k1_tarski C)) (= A C))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k1_tarski C))) (let ((_let_2 (tptp.k2_tarski A B))) (=> (tptp.r1_tarski _let_2 _let_1) (= _let_2 _let_1))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (not (and (tptp.r1_tarski (tptp.k2_tarski A B) (tptp.k2_tarski C D)) (not (= A C)) (not (= A D))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (not (= A B)) (= (tptp.k5_xboole_0 (tptp.k1_tarski A) (tptp.k1_tarski B)) (tptp.k2_tarski A B)))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k1_tarski A))) (= (tptp.k1_zfmisc_1 _let_1) (tptp.k2_tarski tptp.k1_xboole_0 _let_1)))) (forall ((A $$unsorted)) (= (tptp.k3_tarski (tptp.k1_tarski A)) A)) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.k3_tarski (tptp.k2_tarski (tptp.k1_tarski A) (tptp.k1_tarski B))) (tptp.k2_tarski A B))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (= (tptp.k4_tarski A B) (tptp.k4_tarski C D)) (and (= A C) (= B D)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (= (tptp.r2_hidden (tptp.k4_tarski A B) (tptp.k2_zfmisc_1 (tptp.k1_tarski C) (tptp.k1_tarski D))) (and (= A C) (= B D)))) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.k2_zfmisc_1 (tptp.k1_tarski A) (tptp.k1_tarski B)) (tptp.k1_tarski (tptp.k4_tarski A B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k4_tarski A C))) (and (= (tptp.k2_zfmisc_1 (tptp.k1_tarski A) (tptp.k2_tarski B C)) (tptp.k2_tarski (tptp.k4_tarski A B) _let_1)) (= (tptp.k2_zfmisc_1 (tptp.k2_tarski A B) (tptp.k1_tarski C)) (tptp.k2_tarski _let_1 (tptp.k4_tarski B C)))))) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.r1_tarski (tptp.k1_tarski A) B) (tptp.r2_hidden A B))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.r1_tarski (tptp.k2_tarski A B) C) (and (tptp.r2_hidden A C) (tptp.r2_hidden B C)))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k1_tarski B))) (= (tptp.r1_tarski A _let_1) (or (= A tptp.k1_xboole_0) (= A _let_1))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.r1_tarski A B) (or (tptp.r2_hidden C A) (tptp.r1_tarski A (tptp.k4_xboole_0 B (tptp.k1_tarski C)))))) (forall ((A $$unsorted) (B $$unsorted)) (not (and (not (= A (tptp.k1_tarski B))) (not (= A tptp.k1_xboole_0)) (forall ((C $$unsorted)) (not (and (tptp.r2_hidden C A) (not (= C B)))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k2_tarski B C))) (= (tptp.r1_tarski A _let_1) (not (and (not (= A tptp.k1_xboole_0)) (not (= A (tptp.k1_tarski B))) (not (= A (tptp.k1_tarski C))) (not (= A _let_1))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k1_tarski A))) (let ((_let_2 (= B _let_1))) (let ((_let_3 (= C _let_1))) (not (and (= _let_1 (tptp.k2_xboole_0 B C)) (not (and _let_2 _let_3)) (not (and (= B tptp.k1_xboole_0) _let_3)) (not (and _let_2 (= C tptp.k1_xboole_0))))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (not (and (= (tptp.k1_tarski A) (tptp.k2_xboole_0 B C)) (not (= B C)) (not (= B tptp.k1_xboole_0)) (not (= C tptp.k1_xboole_0))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.r1_tarski (tptp.k2_xboole_0 (tptp.k1_tarski A) B) B) (tptp.r2_hidden A B))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.r2_hidden A B) (= (tptp.k2_xboole_0 (tptp.k1_tarski A) B) B))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.r1_tarski (tptp.k2_xboole_0 (tptp.k2_tarski A B) C) C) (tptp.r2_hidden A C))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.r2_hidden A B) (tptp.r2_hidden C B)) (= (tptp.k2_xboole_0 (tptp.k2_tarski A C) B) B))) (forall ((A $$unsorted) (B $$unsorted)) (not (= (tptp.k2_xboole_0 (tptp.k1_tarski A) B) tptp.k1_xboole_0))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (not (= (tptp.k2_xboole_0 (tptp.k2_tarski A B) C) tptp.k1_xboole_0))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k1_tarski B))) (=> (= (tptp.k3_xboole_0 A _let_1) _let_1) (tptp.r2_hidden B A)))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k1_tarski A))) (=> (tptp.r2_hidden A B) (= (tptp.k3_xboole_0 B _let_1) _let_1)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k2_tarski A C))) (=> (and (tptp.r2_hidden A B) (tptp.r2_hidden C B)) (= (tptp.k3_xboole_0 _let_1 B) _let_1)))) (forall ((A $$unsorted) (B $$unsorted)) (not (and (tptp.r1_xboole_0 (tptp.k1_tarski A) B) (tptp.r2_hidden A B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (not (and (tptp.r1_xboole_0 (tptp.k2_tarski A B) C) (tptp.r2_hidden A C)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (not (tptp.r2_hidden A B)) (tptp.r1_xboole_0 (tptp.k1_tarski A) B))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (not (and (not (tptp.r2_hidden A B)) (not (tptp.r2_hidden C B)) (not (tptp.r1_xboole_0 (tptp.k2_tarski A C) B))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k1_tarski A))) (or (tptp.r1_xboole_0 _let_1 B) (= (tptp.k3_xboole_0 _let_1 B) _let_1)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (not (and (= (tptp.k3_xboole_0 (tptp.k2_tarski A B) C) (tptp.k1_tarski A)) (tptp.r2_hidden B C) (not (= A B))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.r2_hidden A B) (or (and (tptp.r2_hidden C B) (not (= A C))) (= (tptp.k3_xboole_0 (tptp.k2_tarski A C) B) (tptp.k1_tarski A))))) true true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k2_tarski A B))) (=> (= (tptp.k3_xboole_0 _let_1 C) _let_1) (tptp.r2_hidden A C)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.r2_hidden A (tptp.k4_xboole_0 B (tptp.k1_tarski C))) (and (tptp.r2_hidden A B) (not (= A C))))) (forall ((A $$unsorted) (B $$unsorted)) (= (= (tptp.k4_xboole_0 A (tptp.k1_tarski B)) A) (not (tptp.r2_hidden B A)))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k1_tarski B))) (not (and (= (tptp.k4_xboole_0 A _let_1) tptp.k1_xboole_0) (not (= A tptp.k1_xboole_0)) (not (= A _let_1)))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k1_tarski A))) (= (= (tptp.k4_xboole_0 _let_1 B) _let_1) (not (tptp.r2_hidden A B))))) (forall ((A $$unsorted) (B $$unsorted)) (= (= (tptp.k4_xboole_0 (tptp.k1_tarski A) B) tptp.k1_xboole_0) (tptp.r2_hidden A B))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k1_tarski A))) (let ((_let_2 (tptp.k4_xboole_0 _let_1 B))) (or (= _let_2 tptp.k1_xboole_0) (= _let_2 _let_1))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (= (tptp.k4_xboole_0 (tptp.k2_tarski A B) C) (tptp.k1_tarski A)) (and (not (tptp.r2_hidden A C)) (or (tptp.r2_hidden B C) (= A B))))) true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k2_tarski A B))) (= (= (tptp.k4_xboole_0 _let_1 C) _let_1) (and (not (tptp.r2_hidden A C)) (not (tptp.r2_hidden B C)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (= (tptp.k4_xboole_0 (tptp.k2_tarski A B) C) tptp.k1_xboole_0) (and (tptp.r2_hidden A C) (tptp.r2_hidden B C)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k2_tarski A B))) (let ((_let_2 (tptp.k4_xboole_0 _let_1 C))) (not (and (not (= _let_2 tptp.k1_xboole_0)) (not (= _let_2 (tptp.k1_tarski A))) (not (= _let_2 (tptp.k1_tarski B))) (not (= _let_2 _let_1))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k2_tarski B C))) (= (= (tptp.k4_xboole_0 A _let_1) tptp.k1_xboole_0) (not (and (not (= A tptp.k1_xboole_0)) (not (= A (tptp.k1_tarski B))) (not (= A (tptp.k1_tarski C))) (not (= A _let_1))))))) true true true (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.r1_tarski A B) (tptp.r1_tarski (tptp.k1_zfmisc_1 A) (tptp.k1_zfmisc_1 B)))) (forall ((A $$unsorted)) (tptp.r1_tarski (tptp.k1_tarski A) (tptp.k1_zfmisc_1 A))) (forall ((A $$unsorted) (B $$unsorted)) (tptp.r1_tarski (tptp.k2_xboole_0 (tptp.k1_zfmisc_1 A) (tptp.k1_zfmisc_1 B)) (tptp.k1_zfmisc_1 (tptp.k2_xboole_0 A B)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (= (tptp.k2_xboole_0 (tptp.k1_zfmisc_1 A) (tptp.k1_zfmisc_1 B)) (tptp.k1_zfmisc_1 (tptp.k2_xboole_0 A B))) (tptp.r3_xboole_0 A B))) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.k1_zfmisc_1 (tptp.k3_xboole_0 A B)) (tptp.k3_xboole_0 (tptp.k1_zfmisc_1 A) (tptp.k1_zfmisc_1 B)))) (forall ((A $$unsorted) (B $$unsorted)) (tptp.r1_tarski (tptp.k1_zfmisc_1 (tptp.k4_xboole_0 A B)) (tptp.k2_xboole_0 (tptp.k1_tarski tptp.k1_xboole_0) (tptp.k4_xboole_0 (tptp.k1_zfmisc_1 A) (tptp.k1_zfmisc_1 B))))) true (forall ((A $$unsorted) (B $$unsorted)) (tptp.r1_tarski (tptp.k2_xboole_0 (tptp.k1_zfmisc_1 (tptp.k4_xboole_0 A B)) (tptp.k1_zfmisc_1 (tptp.k4_xboole_0 B A))) (tptp.k1_zfmisc_1 (tptp.k5_xboole_0 A B)))) true true true true true (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.r2_hidden A B) (tptp.r1_tarski A (tptp.k3_tarski B)))) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.k3_tarski (tptp.k2_tarski A B)) (tptp.k2_xboole_0 A B))) (forall ((A $$unsorted) (B $$unsorted)) (=> (forall ((C $$unsorted)) (=> (tptp.r2_hidden C A) (tptp.r1_tarski C B))) (tptp.r1_tarski (tptp.k3_tarski A) B))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.r1_tarski A B) (tptp.r1_tarski (tptp.k3_tarski A) (tptp.k3_tarski B)))) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.k3_tarski (tptp.k2_xboole_0 A B)) (tptp.k2_xboole_0 (tptp.k3_tarski A) (tptp.k3_tarski B)))) (forall ((A $$unsorted) (B $$unsorted)) (tptp.r1_tarski (tptp.k3_tarski (tptp.k3_xboole_0 A B)) (tptp.k3_xboole_0 (tptp.k3_tarski A) (tptp.k3_tarski B)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (forall ((C $$unsorted)) (=> (tptp.r2_hidden C A) (tptp.r1_xboole_0 C B))) (tptp.r1_xboole_0 (tptp.k3_tarski A) B))) (forall ((A $$unsorted)) (= (tptp.k3_tarski (tptp.k1_zfmisc_1 A)) A)) (forall ((A $$unsorted)) (tptp.r1_tarski A (tptp.k1_zfmisc_1 (tptp.k3_tarski A)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (forall ((C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k2_xboole_0 A B))) (=> (and (tptp.r2_hidden C _let_1) (tptp.r2_hidden D _let_1)) (or (= C D) (tptp.r1_xboole_0 C D))))) (= (tptp.k3_tarski (tptp.k3_xboole_0 A B)) (tptp.k3_xboole_0 (tptp.k3_tarski A) (tptp.k3_tarski B))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (not (and (tptp.r2_hidden A (tptp.k2_zfmisc_1 B C)) (forall ((D $$unsorted) (E $$unsorted)) (not (= (tptp.k4_tarski D E) A)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (not (and (tptp.r1_tarski A (tptp.k2_zfmisc_1 B C)) (tptp.r2_hidden D A) (forall ((E $$unsorted) (F $$unsorted)) (not (and (tptp.r2_hidden E B) (tptp.r2_hidden F C) (= D (tptp.k4_tarski E F)))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (not (and (tptp.r2_hidden A (tptp.k3_xboole_0 (tptp.k2_zfmisc_1 B C) (tptp.k2_zfmisc_1 D E))) (forall ((F $$unsorted) (G $$unsorted)) (not (and (= A (tptp.k4_tarski F G)) (tptp.r2_hidden F (tptp.k3_xboole_0 B D)) (tptp.r2_hidden G (tptp.k3_xboole_0 C E)))))))) (forall ((A $$unsorted) (B $$unsorted)) (tptp.r1_tarski (tptp.k2_zfmisc_1 A B) (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 (tptp.k2_xboole_0 A B))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (= (tptp.r2_hidden (tptp.k4_tarski A B) (tptp.k2_zfmisc_1 C D)) (and (tptp.r2_hidden A C) (tptp.r2_hidden B D)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (tptp.r2_hidden (tptp.k4_tarski A B) (tptp.k2_zfmisc_1 C D)) (tptp.r2_hidden (tptp.k4_tarski B A) (tptp.k2_zfmisc_1 D C)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (forall ((E $$unsorted) (F $$unsorted)) (let ((_let_1 (tptp.k4_tarski E F))) (= (tptp.r2_hidden _let_1 (tptp.k2_zfmisc_1 A B)) (tptp.r2_hidden _let_1 (tptp.k2_zfmisc_1 C D))))) (= (tptp.k2_zfmisc_1 A B) (tptp.k2_zfmisc_1 C D)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.r1_tarski A (tptp.k2_zfmisc_1 B C)) (forall ((E $$unsorted) (F $$unsorted)) (let ((_let_1 (tptp.k4_tarski E F))) (=> (tptp.r2_hidden _let_1 A) (tptp.r2_hidden _let_1 D))))) (tptp.r1_tarski A D))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted)) (=> (and (tptp.r1_tarski A (tptp.k2_zfmisc_1 B C)) (tptp.r1_tarski D (tptp.k2_zfmisc_1 E F)) (forall ((G $$unsorted) (H $$unsorted)) (let ((_let_1 (tptp.k4_tarski G H))) (= (tptp.r2_hidden _let_1 A) (tptp.r2_hidden _let_1 D))))) (= A D))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (forall ((C $$unsorted)) (not (and (tptp.r2_hidden C A) (forall ((D $$unsorted) (E $$unsorted)) (not (= C (tptp.k4_tarski D E))))))) (forall ((C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k4_tarski C D))) (=> (tptp.r2_hidden _let_1 A) (tptp.r2_hidden _let_1 B))))) (tptp.r1_tarski A B))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (forall ((C $$unsorted)) (not (and (tptp.r2_hidden C A) (forall ((D $$unsorted) (E $$unsorted)) (not (= C (tptp.k4_tarski D E))))))) (forall ((C $$unsorted)) (not (and (tptp.r2_hidden C B) (forall ((D $$unsorted) (E $$unsorted)) (not (= C (tptp.k4_tarski D E))))))) (forall ((C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k4_tarski C D))) (= (tptp.r2_hidden _let_1 A) (tptp.r2_hidden _let_1 B))))) (= A B))) (forall ((A $$unsorted) (B $$unsorted)) (= (= (tptp.k2_zfmisc_1 A B) tptp.k1_xboole_0) (or (= A tptp.k1_xboole_0) (= B tptp.k1_xboole_0)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (= (tptp.k2_zfmisc_1 A B) (tptp.k2_zfmisc_1 B A)) (or (= A tptp.k1_xboole_0) (= B tptp.k1_xboole_0) (= A B)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (= (tptp.k2_zfmisc_1 A A) (tptp.k2_zfmisc_1 B B)) (= A B))) (forall ((A $$unsorted)) (=> (tptp.r1_tarski A (tptp.k2_zfmisc_1 A A)) (= A tptp.k1_xboole_0))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (not (and (not (= A tptp.k1_xboole_0)) (or (tptp.r1_tarski (tptp.k2_zfmisc_1 B A) (tptp.k2_zfmisc_1 C A)) (tptp.r1_tarski (tptp.k2_zfmisc_1 A B) (tptp.k2_zfmisc_1 A C))) (not (tptp.r1_tarski B C))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.r1_tarski A B) (and (tptp.r1_tarski (tptp.k2_zfmisc_1 A C) (tptp.k2_zfmisc_1 B C)) (tptp.r1_tarski (tptp.k2_zfmisc_1 C A) (tptp.k2_zfmisc_1 C B))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.r1_tarski A B) (tptp.r1_tarski C D)) (tptp.r1_tarski (tptp.k2_zfmisc_1 A C) (tptp.k2_zfmisc_1 B D)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k2_xboole_0 A B))) (and (= (tptp.k2_zfmisc_1 _let_1 C) (tptp.k2_xboole_0 (tptp.k2_zfmisc_1 A C) (tptp.k2_zfmisc_1 B C))) (= (tptp.k2_zfmisc_1 C _let_1) (tptp.k2_xboole_0 (tptp.k2_zfmisc_1 C A) (tptp.k2_zfmisc_1 C B)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (= (tptp.k2_zfmisc_1 (tptp.k2_xboole_0 A B) (tptp.k2_xboole_0 C D)) (tptp.k2_xboole_0 (tptp.k2_xboole_0 (tptp.k2_xboole_0 (tptp.k2_zfmisc_1 A C) (tptp.k2_zfmisc_1 A D)) (tptp.k2_zfmisc_1 B C)) (tptp.k2_zfmisc_1 B D)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k3_xboole_0 A B))) (and (= (tptp.k2_zfmisc_1 _let_1 C) (tptp.k3_xboole_0 (tptp.k2_zfmisc_1 A C) (tptp.k2_zfmisc_1 B C))) (= (tptp.k2_zfmisc_1 C _let_1) (tptp.k3_xboole_0 (tptp.k2_zfmisc_1 C A) (tptp.k2_zfmisc_1 C B)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (= (tptp.k2_zfmisc_1 (tptp.k3_xboole_0 A B) (tptp.k3_xboole_0 C D)) (tptp.k3_xboole_0 (tptp.k2_zfmisc_1 A C) (tptp.k2_zfmisc_1 B D)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.r1_tarski A B) (tptp.r1_tarski C D)) (= (tptp.k3_xboole_0 (tptp.k2_zfmisc_1 A D) (tptp.k2_zfmisc_1 B C)) (tptp.k2_zfmisc_1 A C)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k4_xboole_0 A B))) (and (= (tptp.k2_zfmisc_1 _let_1 C) (tptp.k4_xboole_0 (tptp.k2_zfmisc_1 A C) (tptp.k2_zfmisc_1 B C))) (= (tptp.k2_zfmisc_1 C _let_1) (tptp.k4_xboole_0 (tptp.k2_zfmisc_1 C A) (tptp.k2_zfmisc_1 C B)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (= (tptp.k4_xboole_0 (tptp.k2_zfmisc_1 A B) (tptp.k2_zfmisc_1 C D)) (tptp.k2_xboole_0 (tptp.k2_zfmisc_1 (tptp.k4_xboole_0 A C) B) (tptp.k2_zfmisc_1 A (tptp.k4_xboole_0 B D))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (or (tptp.r1_xboole_0 A B) (tptp.r1_xboole_0 C D)) (tptp.r1_xboole_0 (tptp.k2_zfmisc_1 A C) (tptp.k2_zfmisc_1 B D)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (= (tptp.r2_hidden (tptp.k4_tarski A B) (tptp.k2_zfmisc_1 (tptp.k1_tarski C) D)) (and (= A C) (tptp.r2_hidden B D)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (= (tptp.r2_hidden (tptp.k4_tarski A B) (tptp.k2_zfmisc_1 C (tptp.k1_tarski D))) (and (tptp.r2_hidden A C) (= B D)))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k1_tarski B))) (=> (not (= A tptp.k1_xboole_0)) (and (not (= (tptp.k2_zfmisc_1 _let_1 A) tptp.k1_xboole_0)) (not (= (tptp.k2_zfmisc_1 A _let_1) tptp.k1_xboole_0)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k1_tarski B))) (let ((_let_2 (tptp.k1_tarski A))) (=> (not (= A B)) (and (tptp.r1_xboole_0 (tptp.k2_zfmisc_1 _let_2 C) (tptp.k2_zfmisc_1 _let_1 D)) (tptp.r1_xboole_0 (tptp.k2_zfmisc_1 C _let_2) (tptp.k2_zfmisc_1 D _let_1))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k1_tarski B))) (let ((_let_2 (tptp.k1_tarski A))) (let ((_let_3 (tptp.k2_tarski A B))) (and (= (tptp.k2_zfmisc_1 _let_3 C) (tptp.k2_xboole_0 (tptp.k2_zfmisc_1 _let_2 C) (tptp.k2_zfmisc_1 _let_1 C))) (= (tptp.k2_zfmisc_1 C _let_3) (tptp.k2_xboole_0 (tptp.k2_zfmisc_1 C _let_2) (tptp.k2_zfmisc_1 C _let_1)))))))) true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (= (tptp.k2_zfmisc_1 A B) (tptp.k2_zfmisc_1 C D)) (or (= A tptp.k1_xboole_0) (= B tptp.k1_xboole_0) (and (= A C) (= B D))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (or (tptp.r1_tarski A (tptp.k2_zfmisc_1 A B)) (tptp.r1_tarski A (tptp.k2_zfmisc_1 B A))) (= A tptp.k1_xboole_0))) (forall ((A $$unsorted)) (exists ((B $$unsorted)) (and (tptp.r2_hidden A B) (forall ((C $$unsorted) (D $$unsorted)) (=> (and (tptp.r2_hidden C B) (tptp.r1_tarski D C)) (tptp.r2_hidden D B))) (forall ((C $$unsorted)) (=> (tptp.r2_hidden C B) (tptp.r2_hidden (tptp.k1_zfmisc_1 C) B))) (forall ((C $$unsorted)) (not (and (tptp.r1_tarski C B) (not (tptp.r2_tarski C B)) (not (tptp.r2_hidden C B)))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (=> (and (tptp.r2_hidden A (tptp.k2_zfmisc_1 B C)) (tptp.r2_hidden A (tptp.k2_zfmisc_1 D E))) (tptp.r2_hidden A (tptp.k2_zfmisc_1 (tptp.k3_xboole_0 B D) (tptp.k3_xboole_0 C E))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A B))) (=> (tptp.r1_tarski _let_1 (tptp.k2_zfmisc_1 C D)) (or (= _let_1 tptp.k1_xboole_0) (and (tptp.r1_tarski A C) (tptp.r1_tarski B D)))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (or (tptp.r1_tarski (tptp.k2_zfmisc_1 A B) (tptp.k2_zfmisc_1 C D)) (tptp.r1_tarski (tptp.k2_zfmisc_1 B A) (tptp.k2_zfmisc_1 D C))) (tptp.r1_tarski B D))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k1_tarski A))) (=> (tptp.r2_hidden A B) (= (tptp.k2_xboole_0 (tptp.k4_xboole_0 B _let_1) _let_1) B)))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k1_tarski A))) (=> (not (tptp.r2_hidden A B)) (= (tptp.k4_xboole_0 (tptp.k2_xboole_0 B _let_1) _let_1) B)))) true true true true (forall ((A $$unsorted)) (not (tptp.v1_xboole_0 (tptp.k1_zfmisc_1 A)))) (forall ((A $$unsorted)) (not (tptp.v1_xboole_0 (tptp.k1_tarski A)))) (forall ((A $$unsorted) (B $$unsorted)) (not (tptp.v1_xboole_0 (tptp.k2_tarski A B)))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (exists ((B $$unsorted)) (and (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (not (tptp.v1_xboole_0 B)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (not (tptp.v1_xboole_0 B))) (not (tptp.v1_xboole_0 (tptp.k2_zfmisc_1 A B))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (not (tptp.v1_xboole_0 B)) (not (tptp.v1_xboole_0 C))) (not (tptp.v1_xboole_0 (tptp.k3_zfmisc_1 A B C))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (not (tptp.v1_xboole_0 B)) (not (tptp.v1_xboole_0 C)) (not (tptp.v1_xboole_0 D))) (not (tptp.v1_xboole_0 (tptp.k4_zfmisc_1 A B C D))))) (forall ((A $$unsorted)) (exists ((B $$unsorted)) (and (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (tptp.v1_xboole_0 B)))) true (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.m1_subset_1 B A))) (let ((_let_2 (tptp.v1_xboole_0 A))) (and (=> (not _let_2) (= _let_1 (tptp.r2_hidden B A))) (=> _let_2 (= _let_1 (tptp.v1_xboole_0 B))))))) (forall ((A $$unsorted)) (= (tptp.k1_subset_1 A) tptp.k1_xboole_0)) (forall ((A $$unsorted)) (= (tptp.k2_subset_1 A) A)) true true true (forall ((A $$unsorted)) (tptp.m1_subset_1 tptp.k1_xboole_0 (tptp.k1_zfmisc_1 A))) true true (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 A)) (=> (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D A) (=> (tptp.r2_hidden D B) (tptp.r2_hidden D C)))) (tptp.r1_tarski B C)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 A)) (=> (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D A) (= (tptp.r2_hidden D B) (tptp.r2_hidden D C)))) (= B C)))))) true (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (not (and (not (= B tptp.k1_xboole_0)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C A) (not (tptp.r2_hidden C B)))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (= (tptp.k3_subset_1 A B) (tptp.k4_xboole_0 A B)))) true true true true (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 A)) (=> (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E A) (= (tptp.r2_hidden E B) (or (tptp.r2_hidden E C) (tptp.r2_hidden E D))))) (= B (tptp.k4_subset_1 A C D))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 A)) (=> (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E A) (= (tptp.r2_hidden E B) (and (tptp.r2_hidden E C) (tptp.r2_hidden E D))))) (= B (tptp.k5_subset_1 A C D))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 A)) (=> (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E A) (= (tptp.r2_hidden E B) (and (tptp.r2_hidden E C) (not (tptp.r2_hidden E D)))))) (= B (tptp.k6_subset_1 A C D))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 A)) (=> (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E A) (= (tptp.r2_hidden E B) (not (= (tptp.r2_hidden E C) (tptp.r2_hidden E D)))))) (= B (tptp.k7_subset_1 A C D))))))))) true true (forall ((A $$unsorted)) (= (tptp.k1_subset_1 A) (tptp.k3_subset_1 A (tptp.k2_subset_1 A)))) (forall ((A $$unsorted)) (= (tptp.k2_subset_1 A) (tptp.k3_subset_1 A (tptp.k1_subset_1 A)))) true true (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (= (tptp.k4_subset_1 A B (tptp.k3_subset_1 A B)) (tptp.k2_subset_1 A)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (tptp.r1_xboole_0 B (tptp.k3_subset_1 A B)))) true (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k2_subset_1 A))) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (= (tptp.k4_subset_1 A B _let_1) _let_1)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 A)) (= (tptp.k3_subset_1 A (tptp.k4_subset_1 A B C)) (tptp.k5_subset_1 A (tptp.k3_subset_1 A B) (tptp.k3_subset_1 A C))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 A)) (= (tptp.k3_subset_1 A (tptp.k5_subset_1 A B C)) (tptp.k4_subset_1 A (tptp.k3_subset_1 A B) (tptp.k3_subset_1 A C))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 A)) (= (tptp.r1_tarski B C) (tptp.r1_tarski (tptp.k3_subset_1 A C) (tptp.k3_subset_1 A B))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 A)) (= (tptp.k6_subset_1 A B C) (tptp.k5_subset_1 A B (tptp.k3_subset_1 A C))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 A)) (= (tptp.k3_subset_1 A (tptp.k6_subset_1 A B C)) (tptp.k4_subset_1 A (tptp.k3_subset_1 A B) C)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 A)) (= (tptp.k3_subset_1 A (tptp.k7_subset_1 A B C)) (tptp.k4_subset_1 A (tptp.k5_subset_1 A B C) (tptp.k5_subset_1 A (tptp.k3_subset_1 A B) (tptp.k3_subset_1 A C)))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 A)) (=> (tptp.r1_tarski B (tptp.k3_subset_1 A C)) (tptp.r1_tarski C (tptp.k3_subset_1 A B))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 A)) (=> (tptp.r1_tarski (tptp.k3_subset_1 A B) C) (tptp.r1_tarski (tptp.k3_subset_1 A C) B)))))) true (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (= (tptp.r1_tarski B (tptp.k3_subset_1 A B)) (= B (tptp.k1_subset_1 A))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (= (tptp.r1_tarski (tptp.k3_subset_1 A B) B) (= B (tptp.k2_subset_1 A))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 A)) (=> (and (tptp.r1_tarski B C) (tptp.r1_tarski B (tptp.k3_subset_1 A C))) (= B tptp.k1_xboole_0)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 A)) (tptp.r1_tarski (tptp.k3_subset_1 A (tptp.k4_subset_1 A B C)) (tptp.k3_subset_1 A B)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 A)) (tptp.r1_tarski (tptp.k3_subset_1 A B) (tptp.k3_subset_1 A (tptp.k5_subset_1 A B C))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 A)) (= (tptp.r1_xboole_0 B C) (tptp.r1_tarski B (tptp.k3_subset_1 A C))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 A)) (= (tptp.r1_xboole_0 B (tptp.k3_subset_1 A C)) (tptp.r1_tarski B C)))))) true (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k3_subset_1 A C))) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 A)) (=> (and (tptp.r1_xboole_0 B C) (tptp.r1_xboole_0 (tptp.k3_subset_1 A B) _let_1)) (= B _let_1))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 A)) (=> (and (tptp.r1_tarski B C) (tptp.r1_xboole_0 D C)) (tptp.r1_tarski B (tptp.k3_subset_1 A D))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 A)) (=> (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D B) (tptp.r2_hidden D C))) (tptp.r1_tarski B C)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (=> (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C A) (tptp.r2_hidden C B))) (= A B)))) (forall ((A $$unsorted)) (=> (not (= A tptp.k1_xboole_0)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C A) (=> (not (tptp.r2_hidden C B)) (tptp.r2_hidden C (tptp.k3_subset_1 A B))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 A)) (=> (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D A) (= (tptp.r2_hidden D B) (not (tptp.r2_hidden D C))))) (= B (tptp.k3_subset_1 A C))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 A)) (=> (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D A) (= (not (tptp.r2_hidden D B)) (tptp.r2_hidden D C)))) (= B (tptp.k3_subset_1 A C))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 A)) (=> (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D A) (not (= (tptp.r2_hidden D B) (tptp.r2_hidden D C))))) (= B (tptp.k3_subset_1 A C))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 A)) (not (and (tptp.r2_hidden B (tptp.k3_subset_1 A C)) (tptp.r2_hidden B C))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B A) (=> (not (= A tptp.k1_xboole_0)) (tptp.m1_subset_1 (tptp.k1_tarski B) (tptp.k1_zfmisc_1 A))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C A) (=> (not (= A tptp.k1_xboole_0)) (tptp.m1_subset_1 (tptp.k2_tarski B C) (tptp.k1_zfmisc_1 A))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C A) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D A) (=> (not (= A tptp.k1_xboole_0)) (tptp.m1_subset_1 (tptp.k1_enumset1 B C D) (tptp.k1_zfmisc_1 A))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C A) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D A) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E A) (=> (not (= A tptp.k1_xboole_0)) (tptp.m1_subset_1 (tptp.k2_enumset1 B C D E) (tptp.k1_zfmisc_1 A))))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C A) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D A) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E A) (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F A) (=> (not (= A tptp.k1_xboole_0)) (tptp.m1_subset_1 (tptp.k3_enumset1 B C D E F) (tptp.k1_zfmisc_1 A))))))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C A) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D A) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E A) (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F A) (forall ((G $$unsorted)) (=> (tptp.m1_subset_1 G A) (=> (not (= A tptp.k1_xboole_0)) (tptp.m1_subset_1 (tptp.k4_enumset1 B C D E F G) (tptp.k1_zfmisc_1 A))))))))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C A) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D A) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E A) (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F A) (forall ((G $$unsorted)) (=> (tptp.m1_subset_1 G A) (forall ((H $$unsorted)) (=> (tptp.m1_subset_1 H A) (=> (not (= A tptp.k1_xboole_0)) (tptp.m1_subset_1 (tptp.k5_enumset1 B C D E F G H) (tptp.k1_zfmisc_1 A))))))))))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C A) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D A) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E A) (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F A) (forall ((G $$unsorted)) (=> (tptp.m1_subset_1 G A) (forall ((H $$unsorted)) (=> (tptp.m1_subset_1 H A) (forall ((I $$unsorted)) (=> (tptp.m1_subset_1 I A) (=> (not (= A tptp.k1_xboole_0)) (tptp.m1_subset_1 (tptp.k6_enumset1 B C D E F G H I) (tptp.k1_zfmisc_1 A))))))))))))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.r2_hidden A B) (tptp.m1_subset_1 (tptp.k1_tarski A) (tptp.k1_zfmisc_1 B)))) (forall ((A $$unsorted)) (=> (not true) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B A) (= B (tptp.k8_subset_1 A)))))) (exists ((A $$unsorted)) (and (tptp.m1_subset_1 A (tptp.k1_zfmisc_1 tptp.f1_s1_subset_1)) (forall ((B $$unsorted)) (= (tptp.r2_hidden B A) (and (tptp.r2_hidden B tptp.f1_s1_subset_1) (tptp.p1_s1_subset_1 B)))))) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A (tptp.k1_zfmisc_1 tptp.f1_s2_subset_1)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 tptp.f1_s2_subset_1)) (=> (and (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C tptp.f1_s2_subset_1) (= (tptp.r2_hidden C A) (tptp.p1_s2_subset_1 C)))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C tptp.f1_s2_subset_1) (= (tptp.r2_hidden C B) (tptp.p1_s2_subset_1 C))))) (= A B)))))) (exists ((A $$unsorted)) (and (tptp.m1_subset_1 A (tptp.k1_zfmisc_1 tptp.f1_s3_subset_1)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.f1_s3_subset_1) (= (tptp.r2_hidden B A) (tptp.p1_s3_subset_1 B)))))) (=> (and (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.f1_s4_subset_1) (= (tptp.r2_hidden A tptp.f2_s4_subset_1) (tptp.p1_s4_subset_1 A)))) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.f1_s4_subset_1) (= (tptp.r2_hidden A tptp.f3_s4_subset_1) (tptp.p1_s4_subset_1 A))))) (= tptp.f2_s4_subset_1 tptp.f3_s4_subset_1)) true (forall ((A $$unsorted)) (exists ((B $$unsorted)) (tptp.m1_subset_1 B A))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (not (tptp.v1_xboole_0 B)) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A))) (forall ((C $$unsorted)) (=> (tptp.m2_subset_1 C A B) (tptp.m1_subset_1 C A))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (not (tptp.v1_xboole_0 B)) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A))) (exists ((C $$unsorted)) (tptp.m2_subset_1 C A B)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (not (tptp.v1_xboole_0 B)) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A))) (forall ((C $$unsorted)) (= (tptp.m2_subset_1 C A B) (tptp.m1_subset_1 C B))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (not (tptp.v1_xboole_0 B))) (=> (tptp.r1_subset_1 A B) (tptp.r1_subset_1 B A)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (not (tptp.v1_xboole_0 B))) (not (tptp.r1_subset_1 A A)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (not (tptp.v1_xboole_0 B))) (= (tptp.r1_subset_1 A B) (tptp.r1_xboole_0 A B)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (not (tptp.v1_xboole_0 B))) (=> (tptp.r2_subset_1 A B) (tptp.r2_subset_1 B A)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (not (tptp.v1_xboole_0 B))) (not (tptp.r2_subset_1 A A)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (not (tptp.v1_xboole_0 B))) (= (tptp.r2_subset_1 A B) (tptp.r1_xboole_0 A B)))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k1_subset_1 A))) (and (tptp.v1_xboole_0 _let_1) (tptp.m1_subset_1 _let_1 (tptp.k1_zfmisc_1 A))))) (forall ((A $$unsorted)) (tptp.m1_subset_1 (tptp.k2_subset_1 A) (tptp.k1_zfmisc_1 A))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 A))) (=> (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 (tptp.k3_subset_1 A B) _let_1)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (= (tptp.k3_subset_1 A (tptp.k3_subset_1 A B)) B))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 A))) (=> (and (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (tptp.m1_subset_1 (tptp.k4_subset_1 A B C) _let_1)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 A))) (=> (and (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (= (tptp.k4_subset_1 A B C) (tptp.k4_subset_1 A C B))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 A))) (=> (and (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (= (tptp.k4_subset_1 A B B) B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 A))) (=> (and (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (= (tptp.k4_subset_1 A B C) (tptp.k2_xboole_0 B C))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 A))) (=> (and (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (tptp.m1_subset_1 (tptp.k5_subset_1 A B C) _let_1)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 A))) (=> (and (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (= (tptp.k5_subset_1 A B C) (tptp.k5_subset_1 A C B))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 A))) (=> (and (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (= (tptp.k5_subset_1 A B B) B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 A))) (=> (and (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (= (tptp.k5_subset_1 A B C) (tptp.k3_xboole_0 B C))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 A))) (=> (and (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (tptp.m1_subset_1 (tptp.k6_subset_1 A B C) _let_1)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 A))) (=> (and (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (= (tptp.k6_subset_1 A B C) (tptp.k4_xboole_0 B C))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 A))) (=> (and (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (tptp.m1_subset_1 (tptp.k7_subset_1 A B C) _let_1)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 A))) (=> (and (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (= (tptp.k7_subset_1 A B C) (tptp.k7_subset_1 A C B))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 A))) (=> (and (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (= (tptp.k7_subset_1 A B C) (tptp.k5_xboole_0 B C))))) (forall ((A $$unsorted)) (tptp.m1_subset_1 (tptp.k8_subset_1 A) A)) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.r2_hidden A B) (tptp.m1_subset_1 A B))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 A B) (or (tptp.v1_xboole_0 B) (tptp.r2_hidden A B)))) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.m1_subset_1 A (tptp.k1_zfmisc_1 B)) (tptp.r1_tarski A B))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.r2_hidden A B) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 C))) (tptp.m1_subset_1 A C))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (not (and (tptp.r2_hidden A B) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 C)) (tptp.v1_xboole_0 C)))) (exists ((A $$unsorted)) (and (tptp.v1_xboole_0 A) (tptp.v1_relat_1 A))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_relat_1 B)) (tptp.v1_relat_1 (tptp.k3_xboole_0 A B)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_relat_1 B)) (tptp.v1_relat_1 (tptp.k2_xboole_0 A B)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_relat_1 B)) (tptp.v1_relat_1 (tptp.k4_xboole_0 A B)))) (forall ((A $$unsorted)) (=> (tptp.v1_xboole_0 A) (tptp.v1_relat_1 A))) (and _let_18 _let_15) (exists ((A $$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_25) 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_26) (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_26 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_25 true true true true true true true true true true true true true (forall ((A $$unsorted)) (let ((_let_1 (tptp.v1_funct_1 A))) (=> (and (tptp.v1_relat_1 A) _let_1) (and _let_1 (tptp.m2_relset_1 A (tptp.k1_relat_1 A) (tptp.k2_relat_1 A)))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.v1_funct_1 B))) (=> (and (tptp.v1_relat_1 B) _let_1) (=> (tptp.r1_tarski (tptp.k2_relat_1 B) A) (and _let_1 (tptp.m2_relset_1 B (tptp.k1_relat_1 B) A)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.m2_relset_1 D A B)) (not (and (tptp.r2_hidden C (tptp.k2_relat_1 D)) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E A) (not (and (tptp.r2_hidden E (tptp.k4_relset_1 A B D)) (= C (tptp.k1_funct_1 D E)))))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.m2_relset_1 D A B)) (=> (tptp.r2_hidden C (tptp.k4_relset_1 A B D)) (tptp.r2_hidden (tptp.k1_funct_1 D C) B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.v1_funct_1 D))) (=> (and _let_1 (tptp.m2_relset_1 D A B)) (=> (tptp.r1_tarski (tptp.k4_relset_1 A B D) C) (and _let_1 (tptp.m2_relset_1 D C B)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.v1_funct_1 D))) (=> (and _let_1 (tptp.m2_relset_1 D A B)) (=> (tptp.r1_tarski (tptp.k2_relat_1 D) C) (and _let_1 (tptp.m2_relset_1 D A C)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.v1_funct_1 D))) (=> (and _let_1 (tptp.m2_relset_1 D A B)) (=> (tptp.r1_tarski A C) (and _let_1 (tptp.m2_relset_1 D C B)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.v1_funct_1 D))) (=> (and _let_1 (tptp.m2_relset_1 D A B)) (=> (tptp.r1_tarski B C) (and _let_1 (tptp.m2_relset_1 D A C)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (let ((_let_1 (tptp.v1_funct_1 E))) (=> (and _let_1 (tptp.m2_relset_1 E A B)) (=> (and (tptp.r1_tarski A C) (tptp.r1_tarski B D)) (and _let_1 (tptp.m2_relset_1 E C D)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (forall ((D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.m2_relset_1 D A B)) (=> (tptp.r1_tarski C D) (and (tptp.v1_funct_1 C) (tptp.m2_relset_1 C A B))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.m2_relset_1 C A B)) (forall ((D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.m2_relset_1 D A B)) (=> (and (= (tptp.k4_relset_1 A B C) (tptp.k4_relset_1 A B D)) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E A) (=> (tptp.r2_hidden E (tptp.k4_relset_1 A B C)) (= (tptp.k1_funct_1 C E) (tptp.k1_funct_1 D E)))))) (= C D)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.m2_relset_1 D (tptp.k2_zfmisc_1 A B) C)) (forall ((E $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A B))) (=> (and (tptp.v1_funct_1 E) (tptp.m2_relset_1 E _let_1 C)) (=> (and (= (tptp.k4_relset_1 _let_1 C D) (tptp.k4_relset_1 _let_1 C E)) (forall ((F $$unsorted) (G $$unsorted)) (let ((_let_1 (tptp.k4_tarski F G))) (=> (tptp.r2_hidden _let_1 (tptp.k4_relset_1 (tptp.k2_zfmisc_1 A B) C D)) (= (tptp.k1_funct_1 D _let_1) (tptp.k1_funct_1 E _let_1)))))) (= D E))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.m2_relset_1 C A B) (= (tptp.k5_relat_1 (tptp.k6_relat_1 A) C) C))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.m2_relset_1 C A B) (= (tptp.k5_relat_1 C (tptp.k6_relat_1 B)) C))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.m2_relset_1 C A B)) (=> (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D A) (forall ((E $$unsorted)) (let ((_let_1 (tptp.k4_relset_1 A B C))) (=> (tptp.m1_subset_1 E A) (=> (and (tptp.r2_hidden D _let_1) (tptp.r2_hidden E _let_1) (= (tptp.k1_funct_1 C D) (tptp.k1_funct_1 C E))) (= D E))))))) (tptp.v2_funct_1 C)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k2_funct_1 C))) (=> (and (tptp.v1_funct_1 C) (tptp.m2_relset_1 C A B)) (=> (tptp.v2_funct_1 C) (and (tptp.v1_funct_1 _let_1) (tptp.m2_relset_1 _let_1 B A)))))) true true true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k8_relset_1 A B D C))) (=> (and (tptp.v1_funct_1 D) (tptp.m2_relset_1 D A B)) (and (tptp.v1_funct_1 _let_1) (tptp.m2_relset_1 _let_1 C B))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k8_relset_1 A B D C))) (=> (and (tptp.v1_funct_1 D) (tptp.m2_relset_1 D A B)) (and (tptp.v1_funct_1 _let_1) (tptp.m2_relset_1 _let_1 A B))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k9_relset_1 A B C D))) (=> (and (tptp.v1_funct_1 D) (tptp.m2_relset_1 D A B)) (and (tptp.v1_funct_1 _let_1) (tptp.m2_relset_1 _let_1 A C))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k9_relset_1 A B C D))) (=> (and (tptp.v1_funct_1 D) (tptp.m2_relset_1 D A B)) (and (tptp.v1_funct_1 _let_1) (tptp.m2_relset_1 _let_1 A B))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k7_relat_1 (tptp.k8_relat_1 A C) B))) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (and (tptp.v1_funct_1 _let_1) (tptp.m2_relset_1 _let_1 B A))))) true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.m2_relset_1 D A B)) (not (and (tptp.r2_hidden C (tptp.k9_relat_1 D A)) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E A) (not (and (tptp.r2_hidden E (tptp.k4_relset_1 A B D)) (= C (tptp.k1_funct_1 D E)))))))))) true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.m2_relset_1 C A B)) (= (tptp.k9_relat_1 C A) (tptp.k2_relat_1 C)))) true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.m2_relset_1 C A B)) (= (tptp.k10_relat_1 C B) (tptp.k4_relset_1 A B C)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_funct_1 B) (tptp.m2_relset_1 B tptp.k1_xboole_0 A)) (and (= (tptp.k4_relset_1 tptp.k1_xboole_0 A B) tptp.k1_xboole_0) (= (tptp.k2_relat_1 B) tptp.k1_xboole_0)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.v1_funct_1 C))) (=> (and (tptp.v1_relat_1 C) _let_1) (=> (= (tptp.k1_relat_1 C) tptp.k1_xboole_0) (and _let_1 (tptp.m2_relset_1 C A B)))))) (forall ((A $$unsorted) (B $$unsorted)) (and (tptp.v1_funct_1 tptp.k1_xboole_0) (tptp.m2_relset_1 tptp.k1_xboole_0 A B))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_funct_1 B) (tptp.m2_relset_1 B tptp.k1_xboole_0 A)) (= B tptp.k1_xboole_0))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.m2_relset_1 C tptp.k1_xboole_0 A)) (forall ((D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.m2_relset_1 D tptp.k1_xboole_0 B)) (= C D))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_funct_1 B) (tptp.m2_relset_1 B tptp.k1_xboole_0 A)) (tptp.v2_funct_1 B))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.m2_relset_1 C tptp.k1_xboole_0 A)) (= (tptp.k9_relat_1 C B) tptp.k1_xboole_0))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.m2_relset_1 C tptp.k1_xboole_0 A)) (= (tptp.k10_relat_1 C B) tptp.k1_xboole_0))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_funct_1 B) (tptp.m2_relset_1 B A tptp.k1_xboole_0)) (and (= (tptp.k4_relset_1 A tptp.k1_xboole_0 B) tptp.k1_xboole_0) (= (tptp.k2_relat_1 B) tptp.k1_xboole_0)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.v1_funct_1 C))) (=> (and (tptp.v1_relat_1 C) _let_1) (=> (= (tptp.k2_relat_1 C) tptp.k1_xboole_0) (and _let_1 (tptp.m2_relset_1 C A B)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_funct_1 B) (tptp.m2_relset_1 B A tptp.k1_xboole_0)) (= B tptp.k1_xboole_0))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.m2_relset_1 C A tptp.k1_xboole_0)) (forall ((D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.m2_relset_1 D B tptp.k1_xboole_0)) (= C D))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_funct_1 B) (tptp.m2_relset_1 B A tptp.k1_xboole_0)) (tptp.v2_funct_1 B))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.m2_relset_1 C A tptp.k1_xboole_0)) (= (tptp.k9_relat_1 C B) tptp.k1_xboole_0))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.m2_relset_1 C A tptp.k1_xboole_0)) (= (tptp.k10_relat_1 C B) tptp.k1_xboole_0))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.m2_relset_1 C (tptp.k1_tarski A) B)) (tptp.r1_tarski (tptp.k2_relat_1 C) (tptp.k1_tarski (tptp.k1_funct_1 C A))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.m2_relset_1 C (tptp.k1_tarski A) B)) (tptp.v2_funct_1 C))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.m2_relset_1 D (tptp.k1_tarski A) B)) (tptp.r1_tarski (tptp.k9_relat_1 D C) (tptp.k1_tarski (tptp.k1_funct_1 D A))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.v1_funct_1 D))) (=> (and (tptp.v1_relat_1 D) _let_1) (=> (and (= (tptp.k1_relat_1 D) (tptp.k1_tarski A)) (tptp.r2_hidden A B) (tptp.r2_hidden (tptp.k1_funct_1 D A) C)) (and _let_1 (tptp.m2_relset_1 D B C)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k1_tarski B))) (=> (and (tptp.v1_funct_1 D) (tptp.m2_relset_1 D A _let_1)) (=> (tptp.r2_hidden C (tptp.k4_relset_1 A _let_1 D)) (= (tptp.k1_funct_1 D C) B))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.m2_relset_1 C A (tptp.k1_tarski B))) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k1_tarski B))) (=> (and (tptp.v1_funct_1 D) (tptp.m2_relset_1 D A _let_1)) (=> (= (tptp.k4_relset_1 A _let_1 C) (tptp.k4_relset_1 A _let_1 D)) (= C D))))))) true true (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted) (C $$unsorted)) (= (tptp.k3_partfun1 A B C) (tptp.k7_relat_1 (tptp.k8_relat_1 C A) B))))) true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (tptp.r1_tarski (tptp.k3_partfun1 C A B) C))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k3_partfun1 C A B))) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (and (tptp.r1_tarski (tptp.k4_relset_1 A B _let_1) (tptp.k1_relat_1 C)) (tptp.r1_tarski (tptp.k2_relat_1 _let_1) (tptp.k2_relat_1 C)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.v1_relat_1 D) (tptp.v1_funct_1 D)) (= (tptp.r2_hidden A (tptp.k4_relset_1 B C (tptp.k3_partfun1 D B C))) (and (tptp.r2_hidden A (tptp.k1_relat_1 D)) (tptp.r2_hidden A B) (tptp.r2_hidden (tptp.k1_funct_1 D A) C))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k1_funct_1 D A))) (=> (and (tptp.v1_relat_1 D) (tptp.v1_funct_1 D)) (=> (and (tptp.r2_hidden A (tptp.k1_relat_1 D)) (tptp.r2_hidden A B) (tptp.r2_hidden _let_1 C)) (= (tptp.k1_funct_1 (tptp.k3_partfun1 D B C) A) _let_1))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k3_partfun1 D B C))) (=> (and (tptp.v1_relat_1 D) (tptp.v1_funct_1 D)) (=> (tptp.r2_hidden A (tptp.k4_relset_1 B C _let_1)) (= (tptp.k1_funct_1 _let_1 A) (tptp.k1_funct_1 D A)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (forall ((D $$unsorted)) (=> (and (tptp.v1_relat_1 D) (tptp.v1_funct_1 D)) (=> (tptp.r1_tarski C D) (tptp.r1_tarski (tptp.k3_partfun1 C A B) (tptp.k3_partfun1 D A B))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.v1_relat_1 D) (tptp.v1_funct_1 D)) (=> (tptp.r1_tarski A B) (tptp.r1_tarski (tptp.k3_partfun1 D A C) (tptp.k3_partfun1 D B C))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.v1_relat_1 D) (tptp.v1_funct_1 D)) (=> (tptp.r1_tarski A B) (tptp.r1_tarski (tptp.k3_partfun1 D C A) (tptp.k3_partfun1 D C B))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (=> (and (tptp.v1_relat_1 E) (tptp.v1_funct_1 E)) (=> (and (tptp.r1_tarski A B) (tptp.r1_tarski C D)) (tptp.r1_tarski (tptp.k3_partfun1 E A C) (tptp.k3_partfun1 E B D))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (=> (and (tptp.r1_tarski (tptp.k1_relat_1 C) A) (tptp.r1_tarski (tptp.k2_relat_1 C) B)) (= C (tptp.k3_partfun1 C A B))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (= A (tptp.k3_partfun1 A (tptp.k1_relat_1 A) (tptp.k2_relat_1 A))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.m2_relset_1 C A B)) (= (tptp.k3_partfun1 C A B) C))) true true true (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.k3_partfun1 tptp.k1_xboole_0 A B) tptp.k1_xboole_0)) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.v1_relat_1 D) (tptp.v1_funct_1 D)) (forall ((E $$unsorted)) (=> (and (tptp.v1_relat_1 E) (tptp.v1_funct_1 E)) (tptp.r1_tarski (tptp.k1_partfun1 C A A B (tptp.k3_partfun1 D C A) (tptp.k3_partfun1 E A B)) (tptp.k3_partfun1 (tptp.k5_relat_1 D E) C B)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.v1_relat_1 D) (tptp.v1_funct_1 D)) (forall ((E $$unsorted)) (=> (and (tptp.v1_relat_1 E) (tptp.v1_funct_1 E)) (=> (tptp.r1_tarski (tptp.k3_xboole_0 (tptp.k2_relat_1 D) (tptp.k1_relat_1 E)) A) (= (tptp.k1_partfun1 C A A B (tptp.k3_partfun1 D C A) (tptp.k3_partfun1 E A B)) (tptp.k3_partfun1 (tptp.k5_relat_1 D E) C B))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (=> (tptp.v2_funct_1 C) (tptp.v2_funct_1 (tptp.k3_partfun1 C A B))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (=> (tptp.v2_funct_1 C) (= (tptp.k2_funct_1 (tptp.k3_partfun1 C A B)) (tptp.k3_partfun1 (tptp.k2_funct_1 C) B A))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.v1_relat_1 D) (tptp.v1_funct_1 D)) (= (tptp.k2_partfun1 A B (tptp.k3_partfun1 D A B) C) (tptp.k3_partfun1 D (tptp.k3_xboole_0 A C) B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.v1_relat_1 D) (tptp.v1_funct_1 D)) (= (tptp.k9_relset_1 B C A (tptp.k3_partfun1 D B C)) (tptp.k3_partfun1 D B (tptp.k3_xboole_0 A C))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.m2_relset_1 C A B) (= (tptp.v1_partfun1 C A B) (= (tptp.k4_relset_1 A B C) A)))) true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.m2_relset_1 C A B)) (=> (and (tptp.v1_partfun1 C A B) (= B tptp.k1_xboole_0)) (= A tptp.k1_xboole_0)))) true true true true true true true true true true true true (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_funct_1 B) (tptp.m2_relset_1 B tptp.k1_xboole_0 A)) (tptp.v1_partfun1 B tptp.k1_xboole_0 A))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (=> (tptp.v1_partfun1 (tptp.k3_partfun1 C A B) A B) (tptp.r1_tarski A (tptp.k1_relat_1 C))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.v1_partfun1 (tptp.k3_partfun1 tptp.k1_xboole_0 A B) A B) (= A tptp.k1_xboole_0))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (=> (and (tptp.r1_tarski A (tptp.k1_relat_1 C)) (tptp.r1_tarski (tptp.k2_relat_1 C) B)) (tptp.v1_partfun1 (tptp.k3_partfun1 C A B) A B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (=> (tptp.v1_partfun1 (tptp.k3_partfun1 C A B) A B) (tptp.r1_tarski (tptp.k9_relat_1 C A) B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (=> (and (tptp.r1_tarski A (tptp.k1_relat_1 C)) (tptp.r1_tarski (tptp.k9_relat_1 C A) B)) (tptp.v1_partfun1 (tptp.k3_partfun1 C A B) A B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (= C (tptp.k4_partfun1 A B)) (forall ((D $$unsorted)) (= (tptp.r2_hidden D C) (exists ((E $$unsorted)) (and (tptp.v1_relat_1 E) (tptp.v1_funct_1 E) (= D E) (tptp.r1_tarski (tptp.k1_relat_1 E) A) (tptp.r1_tarski (tptp.k2_relat_1 E) B))))))) true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.m2_relset_1 C A B)) (tptp.r2_hidden C (tptp.k4_partfun1 A B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.r2_hidden C (tptp.k4_partfun1 A B)) (and (tptp.v1_funct_1 C) (tptp.m2_relset_1 C A B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k4_partfun1 A B)) (and (tptp.v1_funct_1 C) (tptp.m2_relset_1 C A B)))) (forall ((A $$unsorted)) (= (tptp.k4_partfun1 tptp.k1_xboole_0 A) (tptp.k1_tarski tptp.k1_xboole_0))) (forall ((A $$unsorted)) (= (tptp.k4_partfun1 A tptp.k1_xboole_0) (tptp.k1_tarski tptp.k1_xboole_0))) true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.r1_tarski A B) (tptp.r1_tarski (tptp.k4_partfun1 A C) (tptp.k4_partfun1 B C)))) (forall ((A $$unsorted) (B $$unsorted)) (tptp.r1_tarski (tptp.k4_partfun1 tptp.k1_xboole_0 A) (tptp.k4_partfun1 B A))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.r1_tarski A B) (tptp.r1_tarski (tptp.k4_partfun1 C A) (tptp.k4_partfun1 C B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.r1_tarski A B) (tptp.r1_tarski C D)) (tptp.r1_tarski (tptp.k4_partfun1 A C) (tptp.k4_partfun1 B D)))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (= (tptp.r1_partfun1 A B) (forall ((C $$unsorted)) (=> (tptp.r2_hidden C (tptp.k3_xboole_0 (tptp.k1_relat_1 A) (tptp.k1_relat_1 B))) (= (tptp.k1_funct_1 A C) (tptp.k1_funct_1 B C))))))))) true (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (= (tptp.r1_partfun1 A B) (exists ((C $$unsorted)) (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C) (= (tptp.k2_xboole_0 A B) C)))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (= (tptp.r1_partfun1 A B) (exists ((C $$unsorted)) (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C) (tptp.r1_tarski A C) (tptp.r1_tarski B C)))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (=> (tptp.r1_tarski (tptp.k1_relat_1 A) (tptp.k1_relat_1 B)) (= (tptp.r1_partfun1 A B) (forall ((C $$unsorted)) (=> (tptp.r2_hidden C (tptp.k1_relat_1 A)) (= (tptp.k1_funct_1 A C) (tptp.k1_funct_1 B C)))))))))) true true (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (=> (tptp.r1_tarski A B) (tptp.r1_partfun1 A B)))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (=> (and (= (tptp.k1_relat_1 A) (tptp.k1_relat_1 B)) (tptp.r1_partfun1 A B)) (= A B)))))) true (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (=> (tptp.r1_xboole_0 (tptp.k1_relat_1 A) (tptp.k1_relat_1 B)) (tptp.r1_partfun1 A B)))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (forall ((C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (=> (and (tptp.r1_tarski A C) (tptp.r1_tarski B C)) (tptp.r1_partfun1 A B)))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.m2_relset_1 C A B)) (forall ((D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.m2_relset_1 D A B)) (forall ((E $$unsorted)) (=> (and (tptp.v1_relat_1 E) (tptp.v1_funct_1 E)) (=> (and (tptp.r1_partfun1 C E) (tptp.r1_tarski D C)) (tptp.r1_partfun1 D E)))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (tptp.r1_partfun1 tptp.k1_xboole_0 A))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (tptp.r1_partfun1 (tptp.k3_partfun1 tptp.k1_xboole_0 A B) C))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.m2_relset_1 C A (tptp.k1_tarski B))) (forall ((D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.m2_relset_1 D A (tptp.k1_tarski B))) (tptp.r1_partfun1 C D))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (tptp.r1_partfun1 (tptp.k7_relat_1 B A) B))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (tptp.r1_partfun1 (tptp.k8_relat_1 A B) B))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (tptp.r1_partfun1 (tptp.k7_relat_1 (tptp.k8_relat_1 A C) B) C))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (tptp.r1_partfun1 (tptp.k3_partfun1 C A B) C))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.m2_relset_1 C A B)) (forall ((D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.m2_relset_1 D A B)) (=> (and (tptp.v1_partfun1 C A B) (tptp.v1_partfun1 D A B) (tptp.r1_partfun1 C D)) (= C D)))))) true true true true true true true true true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.m2_relset_1 C A B)) (forall ((D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.m2_relset_1 D A B)) (forall ((E $$unsorted)) (=> (and (tptp.v1_funct_1 E) (tptp.m2_relset_1 E A B)) (=> (and (tptp.r1_partfun1 C E) (tptp.r1_partfun1 D E) (tptp.v1_partfun1 E A B)) (tptp.r1_partfun1 C D)))))))) true true true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.m2_relset_1 C A B)) (forall ((D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.m2_relset_1 D A B)) (not (and (=> (= B tptp.k1_xboole_0) (= A tptp.k1_xboole_0)) (tptp.r1_partfun1 C D) (forall ((E $$unsorted)) (=> (and (tptp.v1_funct_1 E) (tptp.m2_relset_1 E A B)) (not (and (tptp.v1_partfun1 E A B) (tptp.r1_partfun1 C E) (tptp.r1_partfun1 D E))))))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.m2_relset_1 C A B)) (forall ((D $$unsorted)) (= (= D (tptp.k5_partfun1 A B C)) (forall ((E $$unsorted)) (= (tptp.r2_hidden E D) (exists ((F $$unsorted)) (and (tptp.v1_funct_1 F) (tptp.m2_relset_1 F A B) (= F E) (tptp.v1_partfun1 F A B) (tptp.r1_partfun1 C F))))))))) true true true true true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.m2_relset_1 C A B)) (forall ((D $$unsorted)) (=> (tptp.r2_hidden D (tptp.k5_partfun1 A B C)) (and (tptp.v1_funct_1 D) (tptp.m2_relset_1 D A B)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.m2_relset_1 C A B)) (forall ((D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.m2_relset_1 D A B)) (=> (tptp.r2_hidden D (tptp.k5_partfun1 A B C)) (tptp.v1_partfun1 D A B)))))) true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.m2_relset_1 C A B)) (forall ((D $$unsorted)) (=> (and (tptp.v1_relat_1 D) (tptp.v1_funct_1 D)) (=> (tptp.r2_hidden D (tptp.k5_partfun1 A B C)) (tptp.r1_partfun1 C D)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_funct_1 B) (tptp.m2_relset_1 B A tptp.k1_xboole_0)) (=> (not (= A tptp.k1_xboole_0)) (= (tptp.k5_partfun1 A tptp.k1_xboole_0 B) tptp.k1_xboole_0)))) true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.m2_relset_1 C A B)) (= (tptp.v1_partfun1 C A B) (= (tptp.k5_partfun1 A B C) (tptp.k1_tarski C))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_funct_1 B) (tptp.m2_relset_1 B tptp.k1_xboole_0 A)) (= (tptp.k5_partfun1 tptp.k1_xboole_0 A B) (tptp.k1_tarski B)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_funct_1 B) (tptp.m2_relset_1 B tptp.k1_xboole_0 A)) (= (tptp.k5_partfun1 tptp.k1_xboole_0 A B) (tptp.k1_tarski tptp.k1_xboole_0)))) true true true true true true true true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.m2_relset_1 C A B)) (forall ((D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.m2_relset_1 D A B)) (=> (not (tptp.r1_xboole_0 (tptp.k5_partfun1 A B C) (tptp.k5_partfun1 A B D))) (tptp.r1_partfun1 C D)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.m2_relset_1 C A B)) (forall ((D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.m2_relset_1 D A B)) (not (and (=> (= B tptp.k1_xboole_0) (= A tptp.k1_xboole_0)) (tptp.r1_partfun1 C D) (tptp.r1_xboole_0 (tptp.k5_partfun1 A B C) (tptp.k5_partfun1 A B D)))))))) (exists ((A $$unsorted)) (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (= (tptp.k1_relat_1 A) tptp.f1_s1_partfun1) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k1_funct_1 A B))) (let ((_let_2 (tptp.p1_s1_partfun1 B))) (=> (tptp.r2_hidden B tptp.f1_s1_partfun1) (and (=> _let_2 (= _let_1 (tptp.f2_s1_partfun1 B))) (=> (not _let_2) (= _let_1 (tptp.f3_s1_partfun1 B)))))))))) (=> (and (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.r2_hidden A tptp.f1_s2_partfun1) (tptp.p1_s2_partfun1 A B)) (tptp.r2_hidden B tptp.f2_s2_partfun1))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.r2_hidden A tptp.f1_s2_partfun1) (tptp.p1_s2_partfun1 A B) (tptp.p1_s2_partfun1 A C)) (= B C)))) (exists ((A $$unsorted)) (and (tptp.v1_funct_1 A) (tptp.m2_relset_1 A tptp.f1_s2_partfun1 tptp.f2_s2_partfun1) (forall ((B $$unsorted)) (= (tptp.r2_hidden B (tptp.k4_relset_1 tptp.f1_s2_partfun1 tptp.f2_s2_partfun1 A)) (and (tptp.r2_hidden B tptp.f1_s2_partfun1) (exists ((C $$unsorted)) (tptp.p1_s2_partfun1 B C))))) (forall ((B $$unsorted)) (=> (tptp.r2_hidden B (tptp.k4_relset_1 tptp.f1_s2_partfun1 tptp.f2_s2_partfun1 A)) (tptp.p1_s2_partfun1 B (tptp.k1_funct_1 A B))))))) (=> (forall ((A $$unsorted)) (=> (tptp.p1_s3_partfun1 A) (tptp.r2_hidden (tptp.f3_s3_partfun1 A) tptp.f2_s3_partfun1))) (exists ((A $$unsorted)) (and (tptp.v1_funct_1 A) (tptp.m2_relset_1 A tptp.f1_s3_partfun1 tptp.f2_s3_partfun1) (forall ((B $$unsorted)) (= (tptp.r2_hidden B (tptp.k4_relset_1 tptp.f1_s3_partfun1 tptp.f2_s3_partfun1 A)) (and (tptp.r2_hidden B tptp.f1_s3_partfun1) (tptp.p1_s3_partfun1 B)))) (forall ((B $$unsorted)) (=> (tptp.r2_hidden B (tptp.k4_relset_1 tptp.f1_s3_partfun1 tptp.f2_s3_partfun1 A)) (= (tptp.k1_funct_1 A B) (tptp.f3_s3_partfun1 B))))))) (=> (and (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.r2_hidden A tptp.f1_s4_partfun1) (tptp.r2_hidden B tptp.f2_s4_partfun1) (tptp.p1_s4_partfun1 A B C)) (tptp.r2_hidden C tptp.f3_s4_partfun1))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.r2_hidden A tptp.f1_s4_partfun1) (tptp.r2_hidden B tptp.f2_s4_partfun1) (tptp.p1_s4_partfun1 A B C) (tptp.p1_s4_partfun1 A B D)) (= C D)))) (exists ((A $$unsorted)) (and (tptp.v1_funct_1 A) (tptp.m2_relset_1 A (tptp.k2_zfmisc_1 tptp.f1_s4_partfun1 tptp.f2_s4_partfun1) tptp.f3_s4_partfun1) (forall ((B $$unsorted) (C $$unsorted)) (= (tptp.r2_hidden (tptp.k4_tarski B C) (tptp.k4_relset_1 (tptp.k2_zfmisc_1 tptp.f1_s4_partfun1 tptp.f2_s4_partfun1) tptp.f3_s4_partfun1 A)) (and (tptp.r2_hidden B tptp.f1_s4_partfun1) (tptp.r2_hidden C tptp.f2_s4_partfun1) (exists ((D $$unsorted)) (tptp.p1_s4_partfun1 B C D))))) (forall ((B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k4_tarski B C))) (=> (tptp.r2_hidden _let_1 (tptp.k4_relset_1 (tptp.k2_zfmisc_1 tptp.f1_s4_partfun1 tptp.f2_s4_partfun1) tptp.f3_s4_partfun1 A)) (tptp.p1_s4_partfun1 B C (tptp.k1_funct_1 A _let_1)))))))) (=> (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.p1_s5_partfun1 A B) (tptp.r2_hidden (tptp.f4_s5_partfun1 A B) tptp.f3_s5_partfun1))) (exists ((A $$unsorted)) (and (tptp.v1_funct_1 A) (tptp.m2_relset_1 A (tptp.k2_zfmisc_1 tptp.f1_s5_partfun1 tptp.f2_s5_partfun1) tptp.f3_s5_partfun1) (forall ((B $$unsorted) (C $$unsorted)) (= (tptp.r2_hidden (tptp.k4_tarski B C) (tptp.k4_relset_1 (tptp.k2_zfmisc_1 tptp.f1_s5_partfun1 tptp.f2_s5_partfun1) tptp.f3_s5_partfun1 A)) (and (tptp.r2_hidden B tptp.f1_s5_partfun1) (tptp.r2_hidden C tptp.f2_s5_partfun1) (tptp.p1_s5_partfun1 B C)))) (forall ((B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k4_tarski B C))) (=> (tptp.r2_hidden _let_1 (tptp.k4_relset_1 (tptp.k2_zfmisc_1 tptp.f1_s5_partfun1 tptp.f2_s5_partfun1) tptp.f3_s5_partfun1 A)) (= (tptp.k1_funct_1 A _let_1) (tptp.f4_s5_partfun1 B C)))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (=> (tptp.r1_partfun1 A B) (tptp.r1_partfun1 B A)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (tptp.r1_partfun1 A A))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted)) (let ((_let_1 (tptp.k1_partfun1 A B C D E F))) (=> (and (tptp.v1_funct_1 E) (tptp.m1_relset_1 E A B) (tptp.v1_funct_1 F) (tptp.m1_relset_1 F C D)) (and (tptp.v1_funct_1 _let_1) (tptp.m2_relset_1 _let_1 A D))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted)) (=> (and (tptp.v1_funct_1 E) (tptp.m1_relset_1 E A B) (tptp.v1_funct_1 F) (tptp.m1_relset_1 F C D)) (= (tptp.k1_partfun1 A B C D E F) (tptp.k5_relat_1 E F)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k2_partfun1 A B C D))) (=> (and (tptp.v1_funct_1 C) (tptp.m1_relset_1 C A B)) (and (tptp.v1_funct_1 _let_1) (tptp.m2_relset_1 _let_1 A B))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.m1_relset_1 C A B)) (= (tptp.k2_partfun1 A B C D) (tptp.k7_relat_1 C D)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k3_partfun1 A B C))) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (and (tptp.v1_funct_1 _let_1) (tptp.m2_relset_1 _let_1 B C))))) true true (forall ((A $$unsorted)) (let ((_let_1 (tptp.k6_partfun1 A))) (and (tptp.v1_partfun1 _let_1 A A) (tptp.m2_relset_1 _let_1 A A)))) (forall ((A $$unsorted)) (= (tptp.k6_partfun1 A) (tptp.k6_relat_1 A))) (forall ((A $$unsorted) (B $$unsorted)) (exists ((C $$unsorted)) (and (tptp.m1_relset_1 C A B) (tptp.v1_relat_1 C) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C A B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.v1_funct_1 C))) (=> (tptp.m1_relset_1 C A B) (=> (and _let_1 (tptp.v1_partfun1 C A B)) (and _let_1 (tptp.v1_funct_2 C A B)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (not (tptp.v1_xboole_0 (tptp.k1_funct_2 A B))))) (forall ((A $$unsorted)) (not (tptp.v1_xboole_0 (tptp.k1_funct_2 A A)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.v1_funct_2 C A B))) (let ((_let_2 (tptp.v1_funct_1 C))) (=> (tptp.m1_relset_1 C A B) (=> (and _let_2 _let_1 (tptp.v3_funct_2 C A B)) (and _let_2 (tptp.v2_funct_1 C) _let_1 (tptp.v2_funct_2 C A B))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.v1_funct_2 C A B))) (let ((_let_2 (tptp.v1_funct_1 C))) (=> (tptp.m1_relset_1 C A B) (=> (and _let_2 (tptp.v2_funct_1 C) _let_1 (tptp.v2_funct_2 C A B)) (and _let_2 _let_1 (tptp.v3_funct_2 C A B))))))) (forall ((A $$unsorted)) (exists ((B $$unsorted)) (and (tptp.m1_relset_1 B A A) (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (tptp.v2_funct_1 B) (tptp.v1_funct_2 B A A) (tptp.v2_funct_2 B A A) (tptp.v3_funct_2 B A A)))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.v1_funct_2 B A A))) (let ((_let_2 (tptp.v1_funct_1 B))) (=> (tptp.m1_relset_1 B A A) (=> (and _let_2 (tptp.v1_partfun1 B A A) (tptp.v1_relat_2 B) _let_1) (and _let_2 (tptp.v2_funct_1 B) _let_1 (tptp.v2_funct_2 B A A) (tptp.v3_funct_2 B A A))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.v1_funct_2 C A B))) (let ((_let_2 (tptp.v1_funct_1 C))) (=> (tptp.m1_relset_1 C A B) (=> (and _let_2 _let_1) (and _let_2 (tptp.v1_partfun1 C A B) _let_1)))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (not (tptp.v1_xboole_0 B))) (forall ((C $$unsorted)) (let ((_let_1 (tptp.v1_funct_2 C A B))) (let ((_let_2 (tptp.v1_funct_1 C))) (=> (tptp.m1_relset_1 C A B) (=> (and _let_2 _let_1) (and _let_2 (not (tptp.v1_xboole_0 C)) (tptp.v1_partfun1 C A B) _let_1)))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.v1_funct_2 C A B))) (let ((_let_2 (= A tptp.k1_xboole_0))) (let ((_let_3 (= B tptp.k1_xboole_0))) (=> (tptp.m2_relset_1 C A B) (and (=> (=> _let_3 _let_2) (= _let_1 (= A (tptp.k4_relset_1 A B C)))) (=> _let_3 (or _let_2 (= _let_1 (= C tptp.k1_xboole_0)))))))))) true true (forall ((A $$unsorted)) (let ((_let_1 (tptp.k2_relat_1 A))) (let ((_let_2 (tptp.k1_relat_1 A))) (let ((_let_3 (tptp.v1_funct_1 A))) (=> (and (tptp.v1_relat_1 A) _let_3) (and _let_3 (tptp.v1_funct_2 A _let_2 _let_1) (tptp.m2_relset_1 A _let_2 _let_1))))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k1_relat_1 B))) (let ((_let_2 (tptp.v1_funct_1 B))) (=> (and (tptp.v1_relat_1 B) _let_2) (=> (tptp.r1_tarski (tptp.k2_relat_1 B) A) (and _let_2 (tptp.v1_funct_2 B _let_1 A) (tptp.m2_relset_1 B _let_1 A))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.v1_funct_1 C))) (=> (and (tptp.v1_relat_1 C) _let_1) (=> (and (= (tptp.k1_relat_1 C) A) (forall ((D $$unsorted)) (=> (tptp.r2_hidden D A) (tptp.r2_hidden (tptp.k1_funct_1 C D) B)))) (and _let_1 (tptp.v1_funct_2 C A B) (tptp.m2_relset_1 C A B)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D A B) (tptp.m2_relset_1 D A B)) (=> (tptp.r2_hidden C A) (or (= B tptp.k1_xboole_0) (tptp.r2_hidden (tptp.k1_funct_1 D C) (tptp.k2_relat_1 D)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D A B) (tptp.m2_relset_1 D A B)) (=> (tptp.r2_hidden C A) (or (= B tptp.k1_xboole_0) (tptp.r2_hidden (tptp.k1_funct_1 D C) B))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.v1_funct_1 D))) (=> (and _let_1 (tptp.v1_funct_2 D A B) (tptp.m2_relset_1 D A B)) (=> (tptp.r1_tarski (tptp.k2_relat_1 D) C) (or (and (= B tptp.k1_xboole_0) (not (= A tptp.k1_xboole_0))) (and _let_1 (tptp.v1_funct_2 D A C) (tptp.m2_relset_1 D A C))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.v1_funct_1 D))) (=> (and _let_1 (tptp.v1_funct_2 D A B) (tptp.m2_relset_1 D A B)) (=> (tptp.r1_tarski B C) (or (and (= B tptp.k1_xboole_0) (not (= A tptp.k1_xboole_0))) (and _let_1 (tptp.v1_funct_2 D A C) (tptp.m2_relset_1 D A C))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (= C (tptp.k1_funct_2 A B)) (forall ((D $$unsorted)) (= (tptp.r2_hidden D C) (exists ((E $$unsorted)) (and (tptp.v1_relat_1 E) (tptp.v1_funct_1 E) (= D E) (= (tptp.k1_relat_1 E) A) (tptp.r1_tarski (tptp.k2_relat_1 E) B))))))) true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C A B) (tptp.m2_relset_1 C A B)) (=> (=> (= B tptp.k1_xboole_0) (= A tptp.k1_xboole_0)) (tptp.r2_hidden C (tptp.k1_funct_2 A B))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B A A) (tptp.m2_relset_1 B A A)) (tptp.r2_hidden B (tptp.k1_funct_2 A A)))) true (forall ((A $$unsorted)) (=> (not (= A tptp.k1_xboole_0)) (= (tptp.k1_funct_2 A tptp.k1_xboole_0) tptp.k1_xboole_0))) true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C A B) (tptp.m2_relset_1 C A B)) (=> (forall ((D $$unsorted)) (not (and (tptp.r2_hidden D B) (forall ((E $$unsorted)) (not (and (tptp.r2_hidden E A) (= D (tptp.k1_funct_1 C E)))))))) (or (= B tptp.k1_xboole_0) (= (tptp.k2_relat_1 C) B))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D A B) (tptp.m2_relset_1 D A B)) (not (and (tptp.r2_hidden C B) (= (tptp.k2_relat_1 D) B) (forall ((E $$unsorted)) (not (and (tptp.r2_hidden E A) (= (tptp.k1_funct_1 D E) C)))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C A B) (tptp.m2_relset_1 C A B)) (forall ((D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D A B) (tptp.m2_relset_1 D A B)) (=> (forall ((E $$unsorted)) (=> (tptp.r2_hidden E A) (= (tptp.k1_funct_1 C E) (tptp.k1_funct_1 D E)))) (= C D)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D A B) (tptp.m2_relset_1 D A B)) (forall ((E $$unsorted)) (let ((_let_1 (tptp.k1_partfun1 A B B C D E))) (=> (and (tptp.v1_funct_1 E) (tptp.v1_funct_2 E B C) (tptp.m2_relset_1 E B C)) (=> (not (and (= B tptp.k1_xboole_0) (not (= C tptp.k1_xboole_0)) (not (= A tptp.k1_xboole_0)))) (and (tptp.v1_funct_1 _let_1) (tptp.v1_funct_2 _let_1 A C) (tptp.m2_relset_1 _let_1 A C)))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D A B) (tptp.m2_relset_1 D A B)) (forall ((E $$unsorted)) (=> (and (tptp.v1_funct_1 E) (tptp.v1_funct_2 E B C) (tptp.m2_relset_1 E B C)) (=> (and (= (tptp.k2_relat_1 D) B) (= (tptp.k2_relat_1 E) C)) (or (= B tptp.k1_xboole_0) (= C tptp.k1_xboole_0) (= (tptp.k2_relat_1 (tptp.k1_partfun1 A B B C D E)) C))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D A B) (tptp.m2_relset_1 D A B)) (forall ((E $$unsorted)) (=> (and (tptp.v1_relat_1 E) (tptp.v1_funct_1 E)) (=> (tptp.r2_hidden C A) (or (= B tptp.k1_xboole_0) (= (tptp.k1_funct_1 (tptp.k5_relat_1 D E) C) (tptp.k1_funct_1 E (tptp.k1_funct_1 D C))))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C A B) (tptp.m2_relset_1 C A B)) (=> (not (= B tptp.k1_xboole_0)) (= (= (tptp.k2_relat_1 C) B) (forall ((D $$unsorted)) (=> (not (= D tptp.k1_xboole_0)) (forall ((E $$unsorted)) (=> (and (tptp.v1_funct_1 E) (tptp.v1_funct_2 E B D) (tptp.m2_relset_1 E B D)) (forall ((F $$unsorted)) (=> (and (tptp.v1_funct_1 F) (tptp.v1_funct_2 F B D) (tptp.m2_relset_1 F B D)) (=> (= (tptp.k1_partfun1 A B B D C E) (tptp.k1_partfun1 A B B D C F)) (= E F)))))))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.m2_relset_1 C A B) (and (= (tptp.k7_relset_1 A A A B (tptp.k6_partfun1 A) C) C) (= (tptp.k7_relset_1 A B B B C (tptp.k6_partfun1 B)) C)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C A B) (tptp.m2_relset_1 C A B)) (forall ((D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D B A) (tptp.m2_relset_1 D B A)) (=> (= (tptp.k1_partfun1 B A A B D C) (tptp.k6_partfun1 B)) (= (tptp.k2_relat_1 C) B)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C A B) (tptp.m2_relset_1 C A B)) (=> (=> (= B tptp.k1_xboole_0) (= A tptp.k1_xboole_0)) (= (tptp.v2_funct_1 C) (forall ((D $$unsorted) (E $$unsorted)) (=> (and (tptp.r2_hidden D A) (tptp.r2_hidden E A) (= (tptp.k1_funct_1 C D) (tptp.k1_funct_1 C E))) (= D E))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D A B) (tptp.m2_relset_1 D A B)) (forall ((E $$unsorted)) (let ((_let_1 (= B tptp.k1_xboole_0))) (=> (and (tptp.v1_funct_1 E) (tptp.v1_funct_2 E B C) (tptp.m2_relset_1 E B C)) (=> (tptp.v2_funct_1 (tptp.k1_partfun1 A B B C D E)) (or (and (= C tptp.k1_xboole_0) (not _let_1)) (and _let_1 (not (= A tptp.k1_xboole_0))) (tptp.v2_funct_1 D)))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C A B) (tptp.m2_relset_1 C A B)) (not (and (not (= A tptp.k1_xboole_0)) (not (= B tptp.k1_xboole_0)) (not (= (tptp.v2_funct_1 C) (forall ((D $$unsorted) (E $$unsorted)) (=> (and (tptp.v1_funct_1 E) (tptp.v1_funct_2 E D A) (tptp.m2_relset_1 E D A)) (forall ((F $$unsorted)) (=> (and (tptp.v1_funct_1 F) (tptp.v1_funct_2 F D A) (tptp.m2_relset_1 F D A)) (=> (= (tptp.k1_partfun1 D A A B E C) (tptp.k1_partfun1 D A A B F C)) (= E F)))))))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D A B) (tptp.m2_relset_1 D A B)) (forall ((E $$unsorted)) (=> (and (tptp.v1_funct_1 E) (tptp.v1_funct_2 E B C) (tptp.m2_relset_1 E B C)) (=> (and (= (tptp.k2_relat_1 (tptp.k1_partfun1 A B B C D E)) C) (tptp.v2_funct_1 E)) (or (= C tptp.k1_xboole_0) (= (tptp.k2_relat_1 D) B))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C A B) (tptp.m2_relset_1 C A B)) (forall ((D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D B A) (tptp.m2_relset_1 D B A)) (=> (= (tptp.k1_partfun1 A B B A C D) (tptp.k6_partfun1 A)) (or (= B tptp.k1_xboole_0) (and (tptp.v2_funct_1 C) (= (tptp.k2_relat_1 D) A)))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D A B) (tptp.m2_relset_1 D A B)) (forall ((E $$unsorted)) (=> (and (tptp.v1_funct_1 E) (tptp.v1_funct_2 E B C) (tptp.m2_relset_1 E B C)) (=> (and (tptp.v2_funct_1 (tptp.k1_partfun1 A B B C D E)) (= (tptp.k2_relat_1 D) B)) (or (and (= C tptp.k1_xboole_0) (not (= B tptp.k1_xboole_0))) (and (tptp.v2_funct_1 D) (tptp.v2_funct_1 E)))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k2_funct_1 C))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C A B) (tptp.m2_relset_1 C A B)) (=> (and (tptp.v2_funct_1 C) (= (tptp.k2_relat_1 C) B)) (and (tptp.v1_funct_1 _let_1) (tptp.v1_funct_2 _let_1 B A) (tptp.m2_relset_1 _let_1 B A)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D A B) (tptp.m2_relset_1 D A B)) (=> (and (tptp.v2_funct_1 D) (tptp.r2_hidden C A)) (or (= B tptp.k1_xboole_0) (= (tptp.k1_funct_1 (tptp.k2_funct_1 D) (tptp.k1_funct_1 D C)) C))))) true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C A B) (tptp.m2_relset_1 C A B)) (forall ((D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D B A) (tptp.m2_relset_1 D B A)) (=> (and (= (tptp.k2_relat_1 C) B) (tptp.v2_funct_1 C) (forall ((E $$unsorted) (F $$unsorted)) (let ((_let_1 (and (tptp.r2_hidden E B) (= (tptp.k1_funct_1 D E) F)))) (let ((_let_2 (and (tptp.r2_hidden F A) (= (tptp.k1_funct_1 C F) E)))) (and (=> _let_1 _let_2) (=> _let_2 _let_1)))))) (or (= A tptp.k1_xboole_0) (= B tptp.k1_xboole_0) (= D (tptp.k2_funct_1 C)))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k2_funct_1 C))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C A B) (tptp.m2_relset_1 C A B)) (=> (and (= (tptp.k2_relat_1 C) B) (tptp.v2_funct_1 C)) (or (= B tptp.k1_xboole_0) (and (= (tptp.k5_relat_1 C _let_1) (tptp.k6_partfun1 A)) (= (tptp.k5_relat_1 _let_1 C) (tptp.k6_partfun1 B)))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C A B) (tptp.m2_relset_1 C A B)) (forall ((D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D B A) (tptp.m2_relset_1 D B A)) (=> (and (= (tptp.k2_relat_1 C) B) (= (tptp.k1_partfun1 A B B A C D) (tptp.k6_partfun1 A)) (tptp.v2_funct_1 C)) (or (= A tptp.k1_xboole_0) (= B tptp.k1_xboole_0) (= D (tptp.k2_funct_1 C)))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C A B) (tptp.m2_relset_1 C A B)) (not (and (not (= B tptp.k1_xboole_0)) (exists ((D $$unsorted)) (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D B A) (tptp.m2_relset_1 D B A) (= (tptp.k1_partfun1 A B B A C D) (tptp.k6_partfun1 A)))) (not (tptp.v2_funct_1 C)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k2_partfun1 A B D C))) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D A B) (tptp.m2_relset_1 D A B)) (=> (tptp.r1_tarski C A) (or (and (= B tptp.k1_xboole_0) (not (= A tptp.k1_xboole_0))) (and (tptp.v1_funct_1 _let_1) (tptp.v1_funct_2 _let_1 C B) (tptp.m2_relset_1 _let_1 C B))))))) true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D A B) (tptp.m2_relset_1 D A B)) (=> (tptp.r1_tarski A C) (= (tptp.k2_partfun1 A B D C) D)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (let ((_let_1 (tptp.k1_funct_1 E C))) (=> (and (tptp.v1_funct_1 E) (tptp.v1_funct_2 E A B) (tptp.m2_relset_1 E A B)) (=> (and (tptp.r2_hidden C A) (tptp.r2_hidden _let_1 D)) (or (= B tptp.k1_xboole_0) (= (tptp.k1_funct_1 (tptp.k9_relset_1 A B D E) C) _let_1)))))) true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D A B) (tptp.m2_relset_1 D A B)) (=> (not (= B tptp.k1_xboole_0)) (forall ((E $$unsorted)) (=> (exists ((F $$unsorted)) (and (tptp.r2_hidden F A) (tptp.r2_hidden F C) (= E (tptp.k1_funct_1 D F)))) (tptp.r2_hidden E (tptp.k9_relat_1 D C))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D A B) (tptp.m2_relset_1 D A B)) (tptp.r1_tarski (tptp.k9_relat_1 D C) B))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C A B) (tptp.m2_relset_1 C A B)) (=> (=> (= B tptp.k1_xboole_0) (= A tptp.k1_xboole_0)) (= (tptp.k2_funct_2 A B C A) (tptp.k2_relat_1 C))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D A B) (tptp.m2_relset_1 D A B)) (=> (not (= B tptp.k1_xboole_0)) (forall ((E $$unsorted)) (= (tptp.r2_hidden E (tptp.k10_relat_1 D C)) (and (tptp.r2_hidden E A) (tptp.r2_hidden (tptp.k1_funct_1 D E) C))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.m2_relset_1 D A B)) (tptp.r1_tarski (tptp.k10_relat_1 D C) A))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C A B) (tptp.m2_relset_1 C A B)) (=> (=> (= B tptp.k1_xboole_0) (= A tptp.k1_xboole_0)) (= (tptp.k3_funct_2 A B C B) A)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C A B) (tptp.m2_relset_1 C A B)) (= (forall ((D $$unsorted)) (not (and (tptp.r2_hidden D B) (= (tptp.k3_funct_2 A B C (tptp.k1_tarski D)) tptp.k1_xboole_0)))) (= (tptp.k2_relat_1 C) B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D A B) (tptp.m2_relset_1 D A B)) (=> (tptp.r1_tarski C A) (or (and (= B tptp.k1_xboole_0) (not (= A tptp.k1_xboole_0))) (tptp.r1_tarski C (tptp.k3_funct_2 A B D (tptp.k2_funct_2 A B D C))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C A B) (tptp.m2_relset_1 C A B)) (=> (=> (= B tptp.k1_xboole_0) (= A tptp.k1_xboole_0)) (= (tptp.k3_funct_2 A B C (tptp.k2_funct_2 A B C A)) A)))) true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (=> (and (tptp.v1_funct_1 E) (tptp.v1_funct_2 E A B) (tptp.m2_relset_1 E A B)) (forall ((F $$unsorted)) (let ((_let_1 (= B tptp.k1_xboole_0))) (=> (and (tptp.v1_funct_1 F) (tptp.v1_funct_2 F B C) (tptp.m2_relset_1 F B C)) (not (and (=> (= C tptp.k1_xboole_0) _let_1) (=> _let_1 (= A tptp.k1_xboole_0)) (not (tptp.r1_tarski (tptp.k3_funct_2 A B E D) (tptp.k3_funct_2 A C (tptp.k1_partfun1 A B B C E F) (tptp.k2_funct_2 B C F D))))))))))) true (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.v1_funct_1 B))) (=> (and (tptp.v1_relat_1 B) _let_1) (=> (= (tptp.k1_relat_1 B) tptp.k1_xboole_0) (and _let_1 (tptp.v1_funct_2 B tptp.k1_xboole_0 A) (tptp.m2_relset_1 B tptp.k1_xboole_0 A)))))) true true true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C tptp.k1_xboole_0 A) (tptp.m2_relset_1 C tptp.k1_xboole_0 A)) (= (tptp.k2_funct_2 tptp.k1_xboole_0 A C B) tptp.k1_xboole_0))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C tptp.k1_xboole_0 A) (tptp.m2_relset_1 C tptp.k1_xboole_0 A)) (= (tptp.k3_funct_2 tptp.k1_xboole_0 A C B) tptp.k1_xboole_0))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k1_tarski A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_1 B) (tptp.m2_relset_1 C _let_1 B)) (=> (not (= B tptp.k1_xboole_0)) (tptp.r2_hidden (tptp.k1_funct_1 C A) B))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k1_tarski A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_1 B) (tptp.m2_relset_1 C _let_1 B)) (=> (not (= B tptp.k1_xboole_0)) (= (tptp.k2_relat_1 C) (tptp.k1_tarski (tptp.k1_funct_1 C A))))))) true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k1_tarski A))) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D _let_1 B) (tptp.m2_relset_1 D _let_1 B)) (=> (not (= B tptp.k1_xboole_0)) (tptp.r1_tarski (tptp.k2_funct_2 _let_1 B D C) (tptp.k1_tarski (tptp.k1_funct_1 D A))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k1_tarski B))) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D A _let_1) (tptp.m2_relset_1 D A _let_1)) (=> (tptp.r2_hidden C A) (= (tptp.k1_funct_1 D C) B))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k1_tarski B))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C A _let_1) (tptp.m2_relset_1 C A _let_1)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k1_tarski B))) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D A _let_1) (tptp.m2_relset_1 D A _let_1)) (= C D))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B A A) (tptp.m2_relset_1 B A A)) (and (= (tptp.k4_relset_1 A A B) A) (tptp.r1_tarski (tptp.k2_relat_1 B) A)))) true true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C A A) (tptp.m2_relset_1 C A A)) (forall ((D $$unsorted)) (=> (and (tptp.v1_relat_1 D) (tptp.v1_funct_1 D)) (=> (tptp.r2_hidden B A) (= (tptp.k1_funct_1 (tptp.k5_relat_1 C D) B) (tptp.k1_funct_1 D (tptp.k1_funct_1 C B)))))))) true true (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B A A) (tptp.m2_relset_1 B A A)) (forall ((C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C A A) (tptp.m2_relset_1 C A A)) (=> (and (= (tptp.k2_relat_1 B) A) (= (tptp.k2_relat_1 C) A)) (= (tptp.k2_relat_1 (tptp.k4_funct_2 A B C)) A)))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k6_partfun1 A))) (=> (tptp.m2_relset_1 B A A) (and (= (tptp.k7_relset_1 A A A A B _let_1) B) (= (tptp.k7_relset_1 A A A A _let_1 B) B))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B A A) (tptp.m2_relset_1 B A A)) (forall ((C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C A A) (tptp.m2_relset_1 C A A)) (=> (and (= (tptp.k4_funct_2 A B C) B) (= (tptp.k2_relat_1 B) A)) (= C (tptp.k6_partfun1 A))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B A A) (tptp.m2_relset_1 B A A)) (forall ((C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C A A) (tptp.m2_relset_1 C A A)) (=> (and (= (tptp.k4_funct_2 A C B) B) (tptp.v2_funct_1 B)) (= C (tptp.k6_partfun1 A))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B A A) (tptp.m2_relset_1 B A A)) (= (tptp.v2_funct_1 B) (forall ((C $$unsorted) (D $$unsorted)) (=> (and (tptp.r2_hidden C A) (tptp.r2_hidden D A) (= (tptp.k1_funct_1 B C) (tptp.k1_funct_1 B D))) (= C D)))))) true (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B A A) (tptp.m2_relset_1 B A A)) (= (tptp.k2_funct_2 A A B A) (tptp.k2_relat_1 B)))) true true (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B A A) (tptp.m2_relset_1 B A A)) (= (tptp.k3_funct_2 A A B (tptp.k2_funct_2 A A B A)) A))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C A B) (tptp.m2_relset_1 C A B)) (= (tptp.v2_funct_2 C A B) (= (tptp.k2_relat_1 C) B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C A B) (tptp.m2_relset_1 C A B)) (= (tptp.v3_funct_2 C A B) (and (tptp.v2_funct_1 C) (tptp.v2_funct_2 C A B))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.m2_relset_1 B A A))) (let ((_let_2 (tptp.v1_funct_2 B A A))) (let ((_let_3 (tptp.v1_funct_1 B))) (=> (and _let_3 _let_2 _let_1) (=> (and (tptp.v2_funct_1 B) (= (tptp.k2_relat_1 B) A)) (and _let_3 _let_2 (tptp.v3_funct_2 B A A) _let_1))))))) true (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B A A) (tptp.m2_relset_1 B A A)) (=> (tptp.v2_funct_1 B) (forall ((C $$unsorted) (D $$unsorted)) (=> (and (tptp.r2_hidden C A) (tptp.r2_hidden D A) (= (tptp.k1_funct_1 B C) (tptp.k1_funct_1 B D))) (= C D)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B A A) (tptp.v3_funct_2 B A A) (tptp.m2_relset_1 B A A)) (forall ((C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C A A) (tptp.v3_funct_2 C A A) (tptp.m2_relset_1 C A A)) (=> (= (tptp.k5_funct_2 A B C) C) (= B (tptp.k6_partfun1 A))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B A A) (tptp.v3_funct_2 B A A) (tptp.m2_relset_1 B A A)) (forall ((C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C A A) (tptp.v3_funct_2 C A A) (tptp.m2_relset_1 C A A)) (=> (= (tptp.k5_funct_2 A B C) (tptp.k6_partfun1 A)) (= C (tptp.k6_funct_2 A B))))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k6_partfun1 A))) (let ((_let_2 (tptp.k6_funct_2 A B))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B A A) (tptp.v3_funct_2 B A A) (tptp.m2_relset_1 B A A)) (and (= (tptp.k5_funct_2 A B _let_2) _let_1) (= (tptp.k5_funct_2 A _let_2 B) _let_1)))))) true true true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C A A) (tptp.v3_funct_2 C A A) (tptp.m2_relset_1 C A A)) (=> (tptp.r1_tarski B A) (and (= (tptp.k2_funct_2 A A C (tptp.k3_funct_2 A A C B)) B) (= (tptp.k3_funct_2 A A C (tptp.k2_funct_2 A A C B)) B))))) true true true true true true true true true true true true true true true true true true true true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C A B) (tptp.m2_relset_1 C A B)) (forall ((D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D A B) (tptp.m2_relset_1 D A B)) (=> (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E A) (= (tptp.k1_funct_1 C E) (tptp.k1_funct_1 D E)))) (= C D)))))) true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D A B) (tptp.m2_relset_1 D A B)) (forall ((E $$unsorted)) (not (and (tptp.r2_hidden E (tptp.k2_funct_2 A B D C)) (forall ((F $$unsorted)) (not (and (tptp.r2_hidden F A) (tptp.r2_hidden F C) (= E (tptp.k1_funct_1 D F)))))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D A B) (tptp.m2_relset_1 D A B)) (forall ((E $$unsorted)) (not (and (tptp.r2_hidden E (tptp.k2_funct_2 A B D C)) (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F A) (not (and (tptp.r2_hidden F C) (= E (tptp.k1_funct_1 D F))))))))))) true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A B))) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D _let_1 C) (tptp.m2_relset_1 D _let_1 C)) (forall ((E $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A B))) (=> (and (tptp.v1_funct_1 E) (tptp.v1_funct_2 E _let_1 C) (tptp.m2_relset_1 E _let_1 C)) (=> (forall ((F $$unsorted) (G $$unsorted)) (let ((_let_1 (tptp.k4_tarski F G))) (=> (and (tptp.r2_hidden F A) (tptp.r2_hidden G B)) (= (tptp.k1_funct_1 D _let_1) (tptp.k1_funct_1 E _let_1))))) (= D E)))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A B))) (=> (and (tptp.v1_funct_1 F) (tptp.v1_funct_2 F _let_1 C) (tptp.m2_relset_1 F _let_1 C)) (=> (and (tptp.r2_hidden D A) (tptp.r2_hidden E B)) (or (= C tptp.k1_xboole_0) (tptp.r2_hidden (tptp.k1_funct_1 F (tptp.k4_tarski D E)) C)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A B))) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D _let_1 C) (tptp.m2_relset_1 D _let_1 C)) (forall ((E $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A B))) (=> (and (tptp.v1_funct_1 E) (tptp.v1_funct_2 E _let_1 C) (tptp.m2_relset_1 E _let_1 C)) (=> (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F A) (forall ((G $$unsorted)) (let ((_let_1 (tptp.k4_tarski F G))) (=> (tptp.m1_subset_1 G B) (= (tptp.k1_funct_1 D _let_1) (tptp.k1_funct_1 E _let_1))))))) (= D E)))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.r2_hidden C (tptp.k1_funct_2 A B)) (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C A B) (tptp.m2_relset_1 C A B)))) true true true true true true true true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.m2_relset_1 C A B))) (let ((_let_2 (tptp.v1_funct_1 C))) (=> (and _let_2 _let_1) (=> (= (tptp.k4_relset_1 A B C) A) (and _let_2 (tptp.v1_funct_2 C A B) _let_1)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.m2_relset_1 C A B))) (let ((_let_2 (tptp.v1_funct_1 C))) (=> (and _let_2 _let_1) (=> (tptp.v1_partfun1 C A B) (and _let_2 (tptp.v1_funct_2 C A B) _let_1)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.m2_relset_1 C A B))) (let ((_let_2 (tptp.v1_funct_1 C))) (=> (and _let_2 _let_1) (=> (and _let_2 (tptp.v1_funct_2 C A B) _let_1) (or (and (= B tptp.k1_xboole_0) (not (= A tptp.k1_xboole_0))) (tptp.v1_partfun1 C A B))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C A B) (tptp.m2_relset_1 C A B)) (=> (=> (= B tptp.k1_xboole_0) (= A tptp.k1_xboole_0)) (tptp.v1_partfun1 (tptp.k3_partfun1 C A B) A B)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B A A) (tptp.m2_relset_1 B A A)) (tptp.v1_partfun1 (tptp.k3_partfun1 B A A) A A))) true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.m2_relset_1 C A B)) (not (and (=> (= B tptp.k1_xboole_0) (= A tptp.k1_xboole_0)) (forall ((D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D A B) (tptp.m2_relset_1 D A B)) (exists ((E $$unsorted)) (and (tptp.r2_hidden E (tptp.k4_relset_1 A B C)) (not (= (tptp.k1_funct_1 D E) (tptp.k1_funct_1 C E))))))))))) true true true true (forall ((A $$unsorted) (B $$unsorted)) (tptp.r1_tarski (tptp.k1_funct_2 A B) (tptp.k4_partfun1 A B))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C A B) (tptp.m2_relset_1 C A B)) (forall ((D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D A B) (tptp.m2_relset_1 D A B)) (=> (tptp.r1_partfun1 C D) (or (and (= B tptp.k1_xboole_0) (not (= A tptp.k1_xboole_0))) (= C D))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B A A) (tptp.m2_relset_1 B A A)) (forall ((C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C A A) (tptp.m2_relset_1 C A A)) (=> (tptp.r1_partfun1 B C) (= B C)))))) true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.m2_relset_1 C A B)) (forall ((D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D A B) (tptp.m2_relset_1 D A B)) (=> (=> (= B tptp.k1_xboole_0) (= A tptp.k1_xboole_0)) (= (tptp.r1_partfun1 C D) (forall ((E $$unsorted)) (=> (tptp.r2_hidden E (tptp.k4_relset_1 A B C)) (= (tptp.k1_funct_1 C E) (tptp.k1_funct_1 D E)))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_funct_1 B) (tptp.m2_relset_1 B A A)) (forall ((C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C A A) (tptp.m2_relset_1 C A A)) (= (tptp.r1_partfun1 B C) (forall ((D $$unsorted)) (=> (tptp.r2_hidden D (tptp.k4_relset_1 A A B)) (= (tptp.k1_funct_1 B D) (tptp.k1_funct_1 C D))))))))) true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.m2_relset_1 C A B)) (not (and (=> (= B tptp.k1_xboole_0) (= A tptp.k1_xboole_0)) (forall ((D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D A B) (tptp.m2_relset_1 D A B)) (not (tptp.r1_partfun1 C D)))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_funct_1 B) (tptp.m2_relset_1 B A A)) (exists ((C $$unsorted)) (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C A A) (tptp.m2_relset_1 C A A) (tptp.r1_partfun1 B C))))) true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.m2_relset_1 C A B)) (forall ((D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.m2_relset_1 D A B)) (forall ((E $$unsorted)) (=> (and (tptp.v1_funct_1 E) (tptp.v1_funct_2 E A B) (tptp.m2_relset_1 E A B)) (=> (and (tptp.r1_partfun1 C E) (tptp.r1_partfun1 D E)) (or (and (= B tptp.k1_xboole_0) (not (= A tptp.k1_xboole_0))) (tptp.r1_partfun1 C D))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_funct_1 B) (tptp.m2_relset_1 B A A)) (forall ((C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.m2_relset_1 C A A)) (forall ((D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D A A) (tptp.m2_relset_1 D A A)) (=> (and (tptp.r1_partfun1 B D) (tptp.r1_partfun1 C D)) (tptp.r1_partfun1 B C)))))))) true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.m2_relset_1 C A B)) (forall ((D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.m2_relset_1 D A B)) (not (and (=> (= B tptp.k1_xboole_0) (= A tptp.k1_xboole_0)) (tptp.r1_partfun1 C D) (forall ((E $$unsorted)) (=> (and (tptp.v1_funct_1 E) (tptp.v1_funct_2 E A B) (tptp.m2_relset_1 E A B)) (not (and (tptp.r1_partfun1 C E) (tptp.r1_partfun1 D E))))))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.m2_relset_1 C A B)) (forall ((D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D A B) (tptp.m2_relset_1 D A B)) (=> (tptp.r1_partfun1 C D) (or (and (= B tptp.k1_xboole_0) (not (= A tptp.k1_xboole_0))) (tptp.r2_hidden D (tptp.k5_partfun1 A B C)))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_funct_1 B) (tptp.m2_relset_1 B A A)) (forall ((C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C A A) (tptp.m2_relset_1 C A A)) (=> (tptp.r1_partfun1 B C) (tptp.r2_hidden C (tptp.k5_partfun1 A A B))))))) true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.m2_relset_1 C A B)) (forall ((D $$unsorted)) (=> (tptp.r2_hidden D (tptp.k5_partfun1 A B C)) (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D A B) (tptp.m2_relset_1 D A B)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.m2_relset_1 C A B)) (tptp.r1_tarski (tptp.k5_partfun1 A B C) (tptp.k1_funct_2 A B)))) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.k5_partfun1 A B (tptp.k3_partfun1 tptp.k1_xboole_0 A B)) (tptp.k1_funct_2 A B))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C A B) (tptp.m2_relset_1 C A B)) (=> (=> (= B tptp.k1_xboole_0) (= A tptp.k1_xboole_0)) (= (tptp.k5_partfun1 A B (tptp.k3_partfun1 C A B)) (tptp.k1_tarski C))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B A A) (tptp.m2_relset_1 B A A)) (= (tptp.k5_partfun1 A A (tptp.k3_partfun1 B A A)) (tptp.k1_tarski B)))) true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.m2_relset_1 C A (tptp.k1_tarski B))) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k1_tarski B))) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D A _let_1) (tptp.m2_relset_1 D A _let_1)) (= (tptp.k5_partfun1 A _let_1 C) (tptp.k1_tarski D))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.m2_relset_1 C A B)) (forall ((D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.m2_relset_1 D A B)) (=> (tptp.r1_tarski D C) (tptp.r1_tarski (tptp.k5_partfun1 A B C) (tptp.k5_partfun1 A B D))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.m2_relset_1 C A B)) (forall ((D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.m2_relset_1 D A B)) (=> (and (tptp.r1_tarski (tptp.k4_relset_1 A B D) (tptp.k4_relset_1 A B C)) (tptp.r1_tarski (tptp.k5_partfun1 A B C) (tptp.k5_partfun1 A B D))) (tptp.r1_tarski D C)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.m2_relset_1 C A B)) (forall ((D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.m2_relset_1 D A B)) (=> (and (tptp.r1_tarski (tptp.k5_partfun1 A B C) (tptp.k5_partfun1 A B D)) (forall ((E $$unsorted)) (not (= B (tptp.k1_tarski E))))) (tptp.r1_tarski D C)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.m2_relset_1 C A B)) (forall ((D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.m2_relset_1 D A B)) (=> (and (forall ((E $$unsorted)) (not (= B (tptp.k1_tarski E)))) (= (tptp.k5_partfun1 A B C) (tptp.k5_partfun1 A B D))) (= C D)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k1_tarski C))) (let ((_let_2 (tptp.k2_zfmisc_1 (tptp.k1_tarski A) (tptp.k1_tarski B)))) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D _let_2 _let_1) (tptp.m2_relset_1 D _let_2 _let_1)) (= D (tptp.k9_funct_2 A B C)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (=> (tptp.r2_hidden C (tptp.k1_funct_2 A B)) (and (= (tptp.k1_relat_1 C) A) (tptp.r1_tarski (tptp.k2_relat_1 C) B))))) (=> (forall ((A $$unsorted)) (not (and (tptp.r2_hidden A tptp.f1_s1_funct_2) (forall ((B $$unsorted)) (not (and (tptp.r2_hidden B tptp.f2_s1_funct_2) (tptp.p1_s1_funct_2 A B))))))) (exists ((A $$unsorted)) (and (tptp.v1_funct_1 A) (tptp.v1_funct_2 A tptp.f1_s1_funct_2 tptp.f2_s1_funct_2) (tptp.m2_relset_1 A tptp.f1_s1_funct_2 tptp.f2_s1_funct_2) (forall ((B $$unsorted)) (=> (tptp.r2_hidden B tptp.f1_s1_funct_2) (tptp.p1_s1_funct_2 B (tptp.k1_funct_1 A B))))))) (=> (forall ((A $$unsorted)) (=> (tptp.r2_hidden A tptp.f1_s2_funct_2) (tptp.r2_hidden (tptp.f3_s2_funct_2 A) tptp.f2_s2_funct_2))) (exists ((A $$unsorted)) (and (tptp.v1_funct_1 A) (tptp.v1_funct_2 A tptp.f1_s2_funct_2 tptp.f2_s2_funct_2) (tptp.m2_relset_1 A tptp.f1_s2_funct_2 tptp.f2_s2_funct_2) (forall ((B $$unsorted)) (=> (tptp.r2_hidden B tptp.f1_s2_funct_2) (= (tptp.k1_funct_1 A B) (tptp.f3_s2_funct_2 B))))))) (=> (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.f1_s3_funct_2) (exists ((B $$unsorted)) (and (tptp.m1_subset_1 B tptp.f2_s3_funct_2) (tptp.p1_s3_funct_2 A B))))) (exists ((A $$unsorted)) (and (tptp.v1_funct_1 A) (tptp.v1_funct_2 A tptp.f1_s3_funct_2 tptp.f2_s3_funct_2) (tptp.m2_relset_1 A tptp.f1_s3_funct_2 tptp.f2_s3_funct_2) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.f1_s3_funct_2) (tptp.p1_s3_funct_2 B (tptp.k8_funct_2 tptp.f1_s3_funct_2 tptp.f2_s3_funct_2 A B))))))) (exists ((A $$unsorted)) (and (tptp.v1_funct_1 A) (tptp.v1_funct_2 A tptp.f1_s4_funct_2 tptp.f2_s4_funct_2) (tptp.m2_relset_1 A tptp.f1_s4_funct_2 tptp.f2_s4_funct_2) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.f1_s4_funct_2) (= (tptp.k8_funct_2 tptp.f1_s4_funct_2 tptp.f2_s4_funct_2 A B) (tptp.f3_s4_funct_2 B)))))) (=> (forall ((A $$unsorted) (B $$unsorted)) (not (and (tptp.r2_hidden A tptp.f1_s5_funct_2) (tptp.r2_hidden B tptp.f2_s5_funct_2) (forall ((C $$unsorted)) (not (and (tptp.r2_hidden C tptp.f3_s5_funct_2) (tptp.p1_s5_funct_2 A B C))))))) (exists ((A $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 tptp.f1_s5_funct_2 tptp.f2_s5_funct_2))) (and (tptp.v1_funct_1 A) (tptp.v1_funct_2 A _let_1 tptp.f3_s5_funct_2) (tptp.m2_relset_1 A _let_1 tptp.f3_s5_funct_2) (forall ((B $$unsorted) (C $$unsorted)) (=> (and (tptp.r2_hidden B tptp.f1_s5_funct_2) (tptp.r2_hidden C tptp.f2_s5_funct_2)) (tptp.p1_s5_funct_2 B C (tptp.k1_funct_1 A (tptp.k4_tarski B C))))))))) (=> (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.r2_hidden A tptp.f1_s6_funct_2) (tptp.r2_hidden B tptp.f2_s6_funct_2)) (tptp.r2_hidden (tptp.f4_s6_funct_2 A B) tptp.f3_s6_funct_2))) (exists ((A $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 tptp.f1_s6_funct_2 tptp.f2_s6_funct_2))) (and (tptp.v1_funct_1 A) (tptp.v1_funct_2 A _let_1 tptp.f3_s6_funct_2) (tptp.m2_relset_1 A _let_1 tptp.f3_s6_funct_2) (forall ((B $$unsorted) (C $$unsorted)) (=> (and (tptp.r2_hidden B tptp.f1_s6_funct_2) (tptp.r2_hidden C tptp.f2_s6_funct_2)) (= (tptp.k1_funct_1 A (tptp.k4_tarski B C)) (tptp.f4_s6_funct_2 B C)))))))) (=> (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.f1_s7_funct_2) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.f2_s7_funct_2) (exists ((C $$unsorted)) (and (tptp.m1_subset_1 C tptp.f3_s7_funct_2) (tptp.p1_s7_funct_2 A B C))))))) (exists ((A $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 tptp.f1_s7_funct_2 tptp.f2_s7_funct_2))) (and (tptp.v1_funct_1 A) (tptp.v1_funct_2 A _let_1 tptp.f3_s7_funct_2) (tptp.m2_relset_1 A _let_1 tptp.f3_s7_funct_2) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.f1_s7_funct_2) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C tptp.f2_s7_funct_2) (tptp.p1_s7_funct_2 B C (tptp.k1_funct_1 A (tptp.k4_tarski B C))))))))))) (exists ((A $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 tptp.f1_s8_funct_2 tptp.f2_s8_funct_2))) (and (tptp.v1_funct_1 A) (tptp.v1_funct_2 A _let_1 tptp.f3_s8_funct_2) (tptp.m2_relset_1 A _let_1 tptp.f3_s8_funct_2) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.f1_s8_funct_2) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C tptp.f2_s8_funct_2) (= (tptp.k1_funct_1 A (tptp.k4_tarski B C)) (tptp.f4_s8_funct_2 B C))))))))) (=> (forall ((A $$unsorted)) (let ((_let_1 (tptp.p1_s9_funct_2 A))) (=> (tptp.r2_hidden A tptp.f1_s9_funct_2) (and (=> _let_1 (tptp.r2_hidden (tptp.f3_s9_funct_2 A) tptp.f2_s9_funct_2)) (=> (not _let_1) (tptp.r2_hidden (tptp.f4_s9_funct_2 A) tptp.f2_s9_funct_2)))))) (exists ((A $$unsorted)) (and (tptp.v1_funct_1 A) (tptp.v1_funct_2 A tptp.f1_s9_funct_2 tptp.f2_s9_funct_2) (tptp.m2_relset_1 A tptp.f1_s9_funct_2 tptp.f2_s9_funct_2) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k1_funct_1 A B))) (let ((_let_2 (tptp.p1_s9_funct_2 B))) (=> (tptp.r2_hidden B tptp.f1_s9_funct_2) (and (=> _let_2 (= _let_1 (tptp.f3_s9_funct_2 B))) (=> (not _let_2) (= _let_1 (tptp.f4_s9_funct_2 B))))))))))) (exists ((A $$unsorted)) (and (tptp.v1_funct_1 A) (tptp.v1_funct_2 A tptp.f1_s10_funct_2 tptp.f2_s10_funct_2) (tptp.m2_relset_1 A tptp.f1_s10_funct_2 tptp.f2_s10_funct_2) (= (tptp.k8_funct_2 tptp.f1_s10_funct_2 tptp.f2_s10_funct_2 A tptp.f3_s10_funct_2) tptp.f4_s10_funct_2) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.f1_s10_funct_2) (=> (not (= B tptp.f3_s10_funct_2)) (= (tptp.k8_funct_2 tptp.f1_s10_funct_2 tptp.f2_s10_funct_2 A B) (tptp.f5_s10_funct_2 B))))))) (=> (not (= tptp.f3_s11_funct_2 tptp.f4_s11_funct_2)) (exists ((A $$unsorted)) (and (tptp.v1_funct_1 A) (tptp.v1_funct_2 A tptp.f1_s11_funct_2 tptp.f2_s11_funct_2) (tptp.m2_relset_1 A tptp.f1_s11_funct_2 tptp.f2_s11_funct_2) (= (tptp.k8_funct_2 tptp.f1_s11_funct_2 tptp.f2_s11_funct_2 A tptp.f3_s11_funct_2) tptp.f5_s11_funct_2) (= (tptp.k8_funct_2 tptp.f1_s11_funct_2 tptp.f2_s11_funct_2 A tptp.f4_s11_funct_2) tptp.f6_s11_funct_2) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.f1_s11_funct_2) (not (and (not (= B tptp.f3_s11_funct_2)) (not (= B tptp.f4_s11_funct_2)) (not (= (tptp.k8_funct_2 tptp.f1_s11_funct_2 tptp.f2_s11_funct_2 A B) (tptp.f7_s11_funct_2 B)))))))))) (=> (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.f1_s12_funct_2) (tptp.r2_hidden (tptp.f3_s12_funct_2 A) tptp.f2_s12_funct_2))) (exists ((A $$unsorted)) (and (tptp.v1_funct_1 A) (tptp.v1_funct_2 A tptp.f1_s12_funct_2 tptp.f2_s12_funct_2) (tptp.m2_relset_1 A tptp.f1_s12_funct_2 tptp.f2_s12_funct_2) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.f1_s12_funct_2) (= (tptp.k8_funct_2 tptp.f1_s12_funct_2 tptp.f2_s12_funct_2 A B) (tptp.f3_s12_funct_2 B))))))) (=> (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.f1_s13_funct_2) (tptp.m1_subset_1 (tptp.f3_s13_funct_2 A) tptp.f2_s13_funct_2))) (exists ((A $$unsorted)) (and (tptp.v1_funct_1 A) (tptp.v1_funct_2 A tptp.f1_s13_funct_2 tptp.f2_s13_funct_2) (tptp.m2_relset_1 A tptp.f1_s13_funct_2 tptp.f2_s13_funct_2) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.f1_s13_funct_2) (= (tptp.k8_funct_2 tptp.f1_s13_funct_2 tptp.f2_s13_funct_2 A B) (tptp.f3_s13_funct_2 B))))))) (=> (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.f1_s14_funct_2) (exists ((B $$unsorted)) (and (tptp.m1_subset_1 B tptp.f2_s14_funct_2) (tptp.p1_s14_funct_2 A B))))) (exists ((A $$unsorted)) (and (tptp.v1_funct_1 A) (tptp.v1_funct_2 A tptp.f1_s14_funct_2 tptp.f2_s14_funct_2) (tptp.m2_relset_1 A tptp.f1_s14_funct_2 tptp.f2_s14_funct_2) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.f1_s14_funct_2) (tptp.p1_s14_funct_2 B (tptp.k8_funct_2 tptp.f1_s14_funct_2 tptp.f2_s14_funct_2 A B))))))) true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C A B) (tptp.m1_relset_1 C A B)) (tptp.m1_subset_1 (tptp.k2_funct_2 A B C D) (tptp.k1_zfmisc_1 B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C A B) (tptp.m1_relset_1 C A B)) (= (tptp.k2_funct_2 A B C D) (tptp.k9_relat_1 C D)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.m1_relset_1 C A B)) (tptp.m1_subset_1 (tptp.k3_funct_2 A B C D) (tptp.k1_zfmisc_1 A)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.m1_relset_1 C A B)) (= (tptp.k3_funct_2 A B C D) (tptp.k10_relat_1 C D)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k4_funct_2 A B C))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B A A) (tptp.m1_relset_1 B A A) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C A A) (tptp.m1_relset_1 C A A)) (and (tptp.v1_funct_1 _let_1) (tptp.v1_funct_2 _let_1 A A) (tptp.m2_relset_1 _let_1 A A))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B A A) (tptp.m1_relset_1 B A A) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C A A) (tptp.m1_relset_1 C A A)) (= (tptp.k4_funct_2 A B C) (tptp.k5_relat_1 B C)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k5_funct_2 A B C))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B A A) (tptp.v3_funct_2 B A A) (tptp.m1_relset_1 B A A) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C A A) (tptp.v3_funct_2 C A A) (tptp.m1_relset_1 C A A)) (and (tptp.v1_funct_1 _let_1) (tptp.v1_funct_2 _let_1 A A) (tptp.v3_funct_2 _let_1 A A) (tptp.m2_relset_1 _let_1 A A))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B A A) (tptp.v3_funct_2 B A A) (tptp.m1_relset_1 B A A) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C A A) (tptp.v3_funct_2 C A A) (tptp.m1_relset_1 C A A)) (= (tptp.k5_funct_2 A B C) (tptp.k5_relat_1 B C)))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k6_funct_2 A B))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B A A) (tptp.v3_funct_2 B A A) (tptp.m1_relset_1 B A A)) (and (tptp.v1_funct_1 _let_1) (tptp.v1_funct_2 _let_1 A A) (tptp.v3_funct_2 _let_1 A A) (tptp.m2_relset_1 _let_1 A A))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B A A) (tptp.v3_funct_2 B A A) (tptp.m1_relset_1 B A A)) (= (tptp.k6_funct_2 A B) (tptp.k2_funct_1 B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (let ((_let_1 (tptp.k7_funct_2 A B C D E))) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.v1_funct_1 D) (tptp.v1_funct_2 D A B) (tptp.m1_relset_1 D A B) (tptp.v1_funct_1 E) (tptp.v1_funct_2 E B C) (tptp.m1_relset_1 E B C)) (and (tptp.v1_funct_1 _let_1) (tptp.v1_funct_2 _let_1 A C) (tptp.m2_relset_1 _let_1 A C))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.v1_funct_1 D) (tptp.v1_funct_2 D A B) (tptp.m1_relset_1 D A B) (tptp.v1_funct_1 E) (tptp.v1_funct_2 E B C) (tptp.m1_relset_1 E B C)) (= (tptp.k7_funct_2 A B C D E) (tptp.k5_relat_1 D E)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C A B) (tptp.m1_relset_1 C A B) (tptp.m1_subset_1 D A)) (tptp.m1_subset_1 (tptp.k8_funct_2 A B C D) B))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C A B) (tptp.m1_relset_1 C A B) (tptp.m1_subset_1 D A)) (= (tptp.k8_funct_2 A B C D) (tptp.k1_funct_1 C D)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k1_tarski C))) (let ((_let_2 (tptp.k2_zfmisc_1 (tptp.k1_tarski A) (tptp.k1_tarski B)))) (let ((_let_3 (tptp.k9_funct_2 A B C))) (and (tptp.v1_funct_1 _let_3) (tptp.v1_funct_2 _let_3 _let_2 _let_1) (tptp.m2_relset_1 _let_3 _let_2 _let_1)))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 tptp.k1_xboole_0 tptp.k1_xboole_0))) (let ((_let_2 (tptp.v1_funct_2 A _let_1 tptp.k1_xboole_0))) (let ((_let_3 (tptp.v1_funct_1 A))) (=> (tptp.m1_relset_1 A _let_1 tptp.k1_xboole_0) (=> (and _let_3 _let_2) (and _let_3 (tptp.v1_xboole_0 A) _let_2 (tptp.v1_binop_1 A tptp.k1_xboole_0) (tptp.v2_binop_1 A tptp.k1_xboole_0)))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted) (C $$unsorted)) (= (tptp.k1_binop_1 A B C) (tptp.k1_funct_1 A (tptp.k4_tarski B C)))))) true (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (=> (not (tptp.v1_xboole_0 C)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A B))) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D _let_1 C) (tptp.m2_relset_1 D _let_1 C)) (forall ((E $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A B))) (=> (and (tptp.v1_funct_1 E) (tptp.v1_funct_2 E _let_1 C) (tptp.m2_relset_1 E _let_1 C)) (=> (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F A) (forall ((G $$unsorted)) (=> (tptp.m1_subset_1 G B) (= (tptp.k2_binop_1 A B C D F G) (tptp.k2_binop_1 A B C E F G)))))) (= D E)))))))))))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_1 A) (tptp.m2_relset_1 B _let_1 A)) (= (tptp.v1_binop_1 B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C A) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D A) (= (tptp.k1_binop_1 B C D) (tptp.k1_binop_1 B D C)))))))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_1 A) (tptp.m2_relset_1 B _let_1 A)) (= (tptp.v2_binop_1 B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C A) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D A) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E A) (= (tptp.k1_binop_1 B C (tptp.k1_binop_1 B D E)) (tptp.k1_binop_1 B (tptp.k1_binop_1 B C D) E)))))))))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_1 A) (tptp.m2_relset_1 B _let_1 A)) (= (tptp.v3_binop_1 B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C A) (= (tptp.k1_binop_1 B C C) C))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B A) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_1 A) (tptp.m2_relset_1 C _let_1 A)) (= (tptp.r1_binop_1 A B C) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D A) (= (tptp.k1_binop_1 C B D) D))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B A) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_1 A) (tptp.m2_relset_1 C _let_1 A)) (= (tptp.r2_binop_1 A B C) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D A) (= (tptp.k1_binop_1 C D B) D))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B A) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_1 A) (tptp.m2_relset_1 C _let_1 A)) (= (tptp.r3_binop_1 A B C) (and (tptp.r1_binop_1 A B C) (tptp.r2_binop_1 A B C)))))))) true true true true true true true true (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_1 A) (tptp.m2_relset_1 B _let_1 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C A) (= (tptp.r3_binop_1 A C B) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D A) (and (= (tptp.k1_binop_1 B C D) D) (= (tptp.k1_binop_1 B D C) D)))))))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_1 A) (tptp.m2_relset_1 B _let_1 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C A) (=> (tptp.v1_binop_1 B A) (= (tptp.r3_binop_1 A C B) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D A) (= (tptp.k1_binop_1 B C D) D)))))))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_1 A) (tptp.m2_relset_1 B _let_1 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C A) (=> (tptp.v1_binop_1 B A) (= (tptp.r3_binop_1 A C B) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D A) (= (tptp.k1_binop_1 B D C) D)))))))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_1 A) (tptp.m2_relset_1 B _let_1 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C A) (=> (tptp.v1_binop_1 B A) (= (tptp.r3_binop_1 A C B) (tptp.r1_binop_1 A C B)))))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_1 A) (tptp.m2_relset_1 B _let_1 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C A) (=> (tptp.v1_binop_1 B A) (= (tptp.r3_binop_1 A C B) (tptp.r2_binop_1 A C B)))))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_1 A) (tptp.m2_relset_1 B _let_1 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C A) (=> (tptp.v1_binop_1 B A) (= (tptp.r1_binop_1 A C B) (tptp.r2_binop_1 A C B)))))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_1 A) (tptp.m2_relset_1 B _let_1 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C A) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D A) (=> (and (tptp.r1_binop_1 A C B) (tptp.r2_binop_1 A D B)) (= C D))))))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_1 A) (tptp.m2_relset_1 B _let_1 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C A) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D A) (=> (and (tptp.r3_binop_1 A C B) (tptp.r3_binop_1 A D B)) (= C D))))))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_1 A) (tptp.m2_relset_1 B _let_1 A)) (=> (exists ((C $$unsorted)) (and (tptp.m1_subset_1 C A) (tptp.r3_binop_1 A C B))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C A) (= (= C (tptp.k3_binop_1 A B)) (tptp.r3_binop_1 A C B)))))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_1 A) (tptp.m2_relset_1 B _let_1 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_1 A) (tptp.m2_relset_1 C _let_1 A)) (= (tptp.r4_binop_1 A B C) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D A) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E A) (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F A) (= (tptp.k1_binop_1 B D (tptp.k1_binop_1 C E F)) (tptp.k1_binop_1 C (tptp.k1_binop_1 B D E) (tptp.k1_binop_1 B D F)))))))))))))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_1 A) (tptp.m2_relset_1 B _let_1 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_1 A) (tptp.m2_relset_1 C _let_1 A)) (= (tptp.r5_binop_1 A B C) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D A) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E A) (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F A) (= (tptp.k1_binop_1 B (tptp.k1_binop_1 C D E) F) (tptp.k1_binop_1 C (tptp.k1_binop_1 B D F) (tptp.k1_binop_1 B E F)))))))))))))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_1 A) (tptp.m2_relset_1 B _let_1 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_1 A) (tptp.m2_relset_1 C _let_1 A)) (= (tptp.r6_binop_1 A B C) (and (tptp.r4_binop_1 A B C) (tptp.r5_binop_1 A B C))))))))) true true true true (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_1 A) (tptp.m2_relset_1 B _let_1 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_1 A) (tptp.m2_relset_1 C _let_1 A)) (= (tptp.r6_binop_1 A B C) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D A) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E A) (forall ((F $$unsorted)) (let ((_let_1 (tptp.k1_binop_1 B D F))) (=> (tptp.m1_subset_1 F A) (and (= (tptp.k1_binop_1 B D (tptp.k1_binop_1 C E F)) (tptp.k1_binop_1 C (tptp.k1_binop_1 B D E) _let_1)) (= (tptp.k1_binop_1 B (tptp.k1_binop_1 C D E) F) (tptp.k1_binop_1 C _let_1 (tptp.k1_binop_1 B E F)))))))))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_1 A) (tptp.m2_relset_1 B _let_1 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_1 A) (tptp.m2_relset_1 C _let_1 A)) (=> (tptp.v1_binop_1 C A) (= (tptp.r6_binop_1 A C B) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D A) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E A) (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F A) (= (tptp.k2_binop_1 A A A C D (tptp.k2_binop_1 A A A B E F)) (tptp.k2_binop_1 A A A B (tptp.k2_binop_1 A A A C D E) (tptp.k2_binop_1 A A A C D F))))))))))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_1 A) (tptp.m2_relset_1 B _let_1 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_1 A) (tptp.m2_relset_1 C _let_1 A)) (=> (tptp.v1_binop_1 C A) (= (tptp.r6_binop_1 A C B) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D A) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E A) (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F A) (= (tptp.k2_binop_1 A A A C (tptp.k2_binop_1 A A A B D E) F) (tptp.k2_binop_1 A A A B (tptp.k2_binop_1 A A A C D F) (tptp.k2_binop_1 A A A C E F))))))))))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_1 A) (tptp.m2_relset_1 B _let_1 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_1 A) (tptp.m2_relset_1 C _let_1 A)) (=> (tptp.v1_binop_1 C A) (= (tptp.r6_binop_1 A C B) (tptp.r4_binop_1 A C B))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_1 A) (tptp.m2_relset_1 B _let_1 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_1 A) (tptp.m2_relset_1 C _let_1 A)) (=> (tptp.v1_binop_1 C A) (= (tptp.r6_binop_1 A C B) (tptp.r5_binop_1 A C B))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_1 A) (tptp.m2_relset_1 B _let_1 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_1 A) (tptp.m2_relset_1 C _let_1 A)) (=> (tptp.v1_binop_1 C A) (= (tptp.r5_binop_1 A C B) (tptp.r4_binop_1 A C B))))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B A A) (tptp.m2_relset_1 B A A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_1 A) (tptp.m2_relset_1 C _let_1 A)) (= (tptp.r7_binop_1 A B C) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D A) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E A) (= (tptp.k1_funct_1 B (tptp.k1_binop_1 C D E)) (tptp.k1_binop_1 C (tptp.k1_funct_1 B D) (tptp.k1_funct_1 B E))))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_1 A) (tptp.m2_relset_1 B _let_1 A)) (= (tptp.v1_binop_1 B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C A) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D A) (= (tptp.k2_binop_1 A A A B C D) (tptp.k2_binop_1 A A A B D C)))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_1 A) (tptp.m2_relset_1 B _let_1 A)) (= (tptp.v2_binop_1 B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C A) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D A) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E A) (= (tptp.k2_binop_1 A A A B C (tptp.k2_binop_1 A A A B D E)) (tptp.k2_binop_1 A A A B (tptp.k2_binop_1 A A A B C D) E)))))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_1 A) (tptp.m2_relset_1 B _let_1 A)) (= (tptp.v3_binop_1 B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C A) (= (tptp.k2_binop_1 A A A B C C) C))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B A) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_1 A) (tptp.m2_relset_1 C _let_1 A)) (= (tptp.r1_binop_1 A B C) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D A) (= (tptp.k2_binop_1 A A A C B D) D))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B A) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_1 A) (tptp.m2_relset_1 C _let_1 A)) (= (tptp.r2_binop_1 A B C) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D A) (= (tptp.k2_binop_1 A A A C D B) D))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_1 A) (tptp.m2_relset_1 B _let_1 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_1 A) (tptp.m2_relset_1 C _let_1 A)) (= (tptp.r4_binop_1 A B C) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D A) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E A) (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F A) (= (tptp.k2_binop_1 A A A B D (tptp.k2_binop_1 A A A C E F)) (tptp.k2_binop_1 A A A C (tptp.k2_binop_1 A A A B D E) (tptp.k2_binop_1 A A A B D F)))))))))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_1 A) (tptp.m2_relset_1 B _let_1 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_1 A) (tptp.m2_relset_1 C _let_1 A)) (= (tptp.r5_binop_1 A B C) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D A) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E A) (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F A) (= (tptp.k2_binop_1 A A A B (tptp.k2_binop_1 A A A C D E) F) (tptp.k2_binop_1 A A A C (tptp.k2_binop_1 A A A B D F) (tptp.k2_binop_1 A A A B E F)))))))))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B A A) (tptp.m2_relset_1 B A A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_1 A) (tptp.m2_relset_1 C _let_1 A)) (= (tptp.r7_binop_1 A B C) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D A) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E A) (= (tptp.k8_funct_2 A A B (tptp.k2_binop_1 A A A C D E)) (tptp.k2_binop_1 A A A C (tptp.k8_funct_2 A A B D) (tptp.k8_funct_2 A A B E))))))))))))))) (=> (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.f1_s1_binop_1) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.f1_s1_binop_1) (exists ((C $$unsorted)) (and (tptp.m1_subset_1 C tptp.f1_s1_binop_1) (tptp.p1_s1_binop_1 A B C))))))) (exists ((A $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 tptp.f1_s1_binop_1 tptp.f1_s1_binop_1))) (and (tptp.v1_funct_1 A) (tptp.v1_funct_2 A _let_1 tptp.f1_s1_binop_1) (tptp.m2_relset_1 A _let_1 tptp.f1_s1_binop_1) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.f1_s1_binop_1) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C tptp.f1_s1_binop_1) (tptp.p1_s1_binop_1 B C (tptp.k2_binop_1 tptp.f1_s1_binop_1 tptp.f1_s1_binop_1 tptp.f1_s1_binop_1 A B C)))))))))) (exists ((A $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 tptp.f1_s2_binop_1 tptp.f1_s2_binop_1))) (and (tptp.v1_funct_1 A) (tptp.v1_funct_2 A _let_1 tptp.f1_s2_binop_1) (tptp.m2_relset_1 A _let_1 tptp.f1_s2_binop_1) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.f1_s2_binop_1) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C tptp.f1_s2_binop_1) (= (tptp.k2_binop_1 tptp.f1_s2_binop_1 tptp.f1_s2_binop_1 tptp.f1_s2_binop_1 A B C) (tptp.f2_s2_binop_1 B C))))))))) true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A B))) (=> (and (not (tptp.v1_xboole_0 A)) (not (tptp.v1_xboole_0 B)) (tptp.v1_funct_1 D) (tptp.v1_funct_2 D _let_1 C) (tptp.m1_relset_1 D _let_1 C) (tptp.m1_subset_1 E A) (tptp.m1_subset_1 F B)) (tptp.m1_subset_1 (tptp.k2_binop_1 A B C D E F) C)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A B))) (=> (and (not (tptp.v1_xboole_0 A)) (not (tptp.v1_xboole_0 B)) (tptp.v1_funct_1 D) (tptp.v1_funct_2 D _let_1 C) (tptp.m1_relset_1 D _let_1 C) (tptp.m1_subset_1 E A) (tptp.m1_subset_1 F B)) (= (tptp.k2_binop_1 A B C D E F) (tptp.k1_binop_1 D E F))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_1 A) (tptp.m1_relset_1 B _let_1 A)) (tptp.m1_subset_1 (tptp.k3_binop_1 A B) A)))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k2_funcop_1 A B))) (and (tptp.v1_relat_1 _let_1) (tptp.v1_funct_1 _let_1)))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k2_funcop_1 tptp.k1_xboole_0 A))) (and (tptp.v1_xboole_0 _let_1) (tptp.v1_relat_1 _let_1) (tptp.v1_funct_1 _let_1) (tptp.v2_funct_1 _let_1)))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k2_funcop_1 B A))) (=> (tptp.v1_xboole_0 B) (and (tptp.v1_xboole_0 _let_1) (tptp.v1_relat_1 _let_1) (tptp.v1_funct_1 _let_1) (tptp.v2_funct_1 _let_1))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k3_funcop_1 A B C))) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (and (tptp.v1_relat_1 _let_1) (tptp.v1_funct_1 _let_1))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k4_funcop_1 A B C))) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (and (tptp.v1_relat_1 _let_1) (tptp.v1_funct_1 _let_1))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k5_funcop_1 A B C))) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (and (tptp.v1_relat_1 _let_1) (tptp.v1_funct_1 _let_1))))) (exists ((A $$unsorted)) (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_funcop_1 A))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k1_funct_1 A B))) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_funcop_1 A)) (and (tptp.v1_relat_1 _let_1) (tptp.v1_funct_1 _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k5_relat_1 B A))) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_funcop_1 A) (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (and (tptp.v1_relat_1 _let_1) (tptp.v1_funct_1 _let_1) (tptp.v1_funcop_1 _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k2_funcop_1 A B))) (=> (not (tptp.v1_xboole_0 B)) (and (tptp.v1_relat_1 _let_1) (tptp.v2_relat_1 _let_1) (tptp.v1_funct_1 _let_1))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (forall ((B $$unsorted) (C $$unsorted)) (=> (= A (tptp.k2_zfmisc_1 B C)) (or (= B tptp.k1_xboole_0) (= C tptp.k1_xboole_0) (and (= (tptp.k1_relat_1 A) B) (= (tptp.k2_relat_1 A) C))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k6_partfun1 A))) (= (tptp.k12_funct_3 A) (tptp.k13_funct_3 _let_1 _let_1)))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (forall ((C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (=> (= (tptp.k1_relat_1 A) (tptp.k1_relat_1 B)) (= (tptp.k1_relat_1 (tptp.k5_relat_1 C A)) (tptp.k1_relat_1 (tptp.k5_relat_1 C B)))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (=> (and (= (tptp.k1_relat_1 A) tptp.k1_xboole_0) (= (tptp.k1_relat_1 B) tptp.k1_xboole_0)) (= A B)))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (= (= B (tptp.k1_funcop_1 A)) (and (= (tptp.k1_relat_1 B) (tptp.k1_relat_1 A)) (forall ((C $$unsorted)) (=> (tptp.r2_hidden C (tptp.k1_relat_1 A)) (and (forall ((D $$unsorted) (E $$unsorted)) (=> (= (tptp.k1_funct_1 A C) (tptp.k4_tarski D E)) (= (tptp.k1_funct_1 B C) (tptp.k4_tarski E D)))) (not (and (not (= (tptp.k1_funct_1 A C) (tptp.k1_funct_1 B C))) (forall ((D $$unsorted) (E $$unsorted)) (not (= (tptp.k1_funct_1 A C) (tptp.k4_tarski D E))))))))))))))) true (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (= (tptp.k13_funct_3 A B) (tptp.k1_funcop_1 (tptp.k13_funct_3 B A))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted)) (= (tptp.k1_funcop_1 (tptp.k7_relat_1 A B)) (tptp.k7_relat_1 (tptp.k1_funcop_1 A) B))))) true (forall ((A $$unsorted)) (let ((_let_1 (tptp.k12_funct_3 A))) (= (tptp.k1_funcop_1 _let_1) _let_1))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (forall ((C $$unsorted)) (= (tptp.k7_relat_1 (tptp.k13_funct_3 A B) C) (tptp.k13_funct_3 (tptp.k7_relat_1 A C) B))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (forall ((C $$unsorted)) (= (tptp.k7_relat_1 (tptp.k13_funct_3 A B) C) (tptp.k13_funct_3 A (tptp.k7_relat_1 B C)))))))) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.k2_funcop_1 A B) (tptp.k2_zfmisc_1 A (tptp.k1_tarski B)))) true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.r2_hidden B A) (= (tptp.k1_funct_1 (tptp.k2_funcop_1 A C) B) C))) (forall ((A $$unsorted) (B $$unsorted)) (=> (not (= A tptp.k1_xboole_0)) (= (tptp.k2_relat_1 (tptp.k2_funcop_1 A B)) (tptp.k1_tarski B)))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted)) (=> (= (tptp.k2_relat_1 A) (tptp.k1_tarski B)) (= A (tptp.k2_funcop_1 (tptp.k1_relat_1 A) B)))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k2_funcop_1 tptp.k1_xboole_0 A))) (and (= (tptp.k1_relat_1 _let_1) tptp.k1_xboole_0) (= (tptp.k2_relat_1 _let_1) tptp.k1_xboole_0)))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted)) (=> (forall ((C $$unsorted)) (=> (tptp.r2_hidden C (tptp.k1_relat_1 A)) (= (tptp.k1_funct_1 A C) B))) (= A (tptp.k2_funcop_1 (tptp.k1_relat_1 A) B)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.k7_relat_1 (tptp.k2_funcop_1 A B) C) (tptp.k2_funcop_1 (tptp.k3_xboole_0 A C) B))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k2_funcop_1 A B))) (and (= (tptp.k1_relat_1 _let_1) A) (tptp.r1_tarski (tptp.k2_relat_1 _let_1) (tptp.k1_tarski B))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.r2_hidden B C) (= (tptp.k10_relat_1 (tptp.k2_funcop_1 A B) C) A))) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.k10_relat_1 (tptp.k2_funcop_1 A B) (tptp.k1_tarski B)) A)) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (not (tptp.r2_hidden B C)) (= (tptp.k10_relat_1 (tptp.k2_funcop_1 A B) C) tptp.k1_xboole_0))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted) (C $$unsorted)) (=> (tptp.r2_hidden C (tptp.k1_relat_1 A)) (= (tptp.k5_relat_1 (tptp.k2_funcop_1 B C) A) (tptp.k2_funcop_1 B (tptp.k1_funct_1 A C))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted) (C $$unsorted)) (not (and (not (= B tptp.k1_xboole_0)) (tptp.r2_hidden C (tptp.k1_relat_1 A)) (= (tptp.k1_relat_1 (tptp.k5_relat_1 (tptp.k2_funcop_1 B C) A)) tptp.k1_xboole_0)))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted) (C $$unsorted)) (= (tptp.k5_relat_1 A (tptp.k2_funcop_1 B C)) (tptp.k2_funcop_1 (tptp.k10_relat_1 A B) C))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.k1_funcop_1 (tptp.k2_funcop_1 A (tptp.k4_tarski B C))) (tptp.k2_funcop_1 A (tptp.k4_tarski C B)))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (forall ((C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (= (tptp.k3_funcop_1 A B C) (tptp.k5_relat_1 (tptp.k13_funct_3 B C) A)))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (forall ((C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k3_funcop_1 C A B))) (=> (and (tptp.v1_relat_1 D) (tptp.v1_funct_1 D)) (=> (and (= (tptp.k1_relat_1 D) (tptp.k1_relat_1 _let_1)) (forall ((E $$unsorted)) (=> (tptp.r2_hidden E (tptp.k1_relat_1 (tptp.k3_funcop_1 C A B))) (= (tptp.k1_funct_1 D E) (tptp.k1_binop_1 C (tptp.k1_funct_1 A E) (tptp.k1_funct_1 B E)))))) (= D _let_1))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (forall ((C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k3_funcop_1 C A B))) (=> (tptp.r2_hidden D (tptp.k1_relat_1 _let_1)) (= (tptp.k1_funct_1 _let_1 D) (tptp.k1_binop_1 C (tptp.k1_funct_1 A D) (tptp.k1_funct_1 B D)))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (forall ((C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (forall ((D $$unsorted) (E $$unsorted)) (=> (and (tptp.v1_relat_1 E) (tptp.v1_funct_1 E)) (=> (= (tptp.k7_relat_1 A D) (tptp.k7_relat_1 B D)) (= (tptp.k7_relat_1 (tptp.k3_funcop_1 E A C) D) (tptp.k7_relat_1 (tptp.k3_funcop_1 E B C) D))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (forall ((C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (forall ((D $$unsorted) (E $$unsorted)) (=> (and (tptp.v1_relat_1 E) (tptp.v1_funct_1 E)) (=> (= (tptp.k7_relat_1 A D) (tptp.k7_relat_1 B D)) (= (tptp.k7_relat_1 (tptp.k3_funcop_1 E C A) D) (tptp.k7_relat_1 (tptp.k3_funcop_1 E C B) D))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (forall ((C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (forall ((D $$unsorted)) (=> (and (tptp.v1_relat_1 D) (tptp.v1_funct_1 D)) (= (tptp.k5_relat_1 C (tptp.k3_funcop_1 D A B)) (tptp.k3_funcop_1 D (tptp.k5_relat_1 C A) (tptp.k5_relat_1 C B))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (forall ((C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (forall ((D $$unsorted)) (=> (and (tptp.v1_relat_1 D) (tptp.v1_funct_1 D)) (= (tptp.k5_relat_1 (tptp.k3_funcop_1 D B C) A) (tptp.k3_funcop_1 (tptp.k5_relat_1 D A) B C)))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (forall ((C $$unsorted)) (= (tptp.k4_funcop_1 A B C) (tptp.k5_relat_1 (tptp.k13_funct_3 B (tptp.k2_funcop_1 (tptp.k1_relat_1 B) C)) A))))))) true (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (forall ((C $$unsorted)) (= (tptp.k4_funcop_1 B A C) (tptp.k3_funcop_1 B A (tptp.k2_funcop_1 (tptp.k1_relat_1 A) C)))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (forall ((C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k4_funcop_1 B A D))) (=> (tptp.r2_hidden C (tptp.k1_relat_1 _let_1)) (= (tptp.k1_funct_1 _let_1 C) (tptp.k1_binop_1 B (tptp.k1_funct_1 A C) D))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (forall ((C $$unsorted) (D $$unsorted)) (=> (and (tptp.v1_relat_1 D) (tptp.v1_funct_1 D)) (forall ((E $$unsorted)) (=> (= (tptp.k7_relat_1 A C) (tptp.k7_relat_1 B C)) (= (tptp.k7_relat_1 (tptp.k4_funcop_1 D A E) C) (tptp.k7_relat_1 (tptp.k4_funcop_1 D B E) C)))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (forall ((C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (forall ((D $$unsorted)) (= (tptp.k5_relat_1 B (tptp.k4_funcop_1 C A D)) (tptp.k4_funcop_1 C (tptp.k5_relat_1 B A) D))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (forall ((C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (forall ((D $$unsorted)) (= (tptp.k5_relat_1 (tptp.k4_funcop_1 C B D) A) (tptp.k4_funcop_1 (tptp.k5_relat_1 C A) B D))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (forall ((D $$unsorted)) (= (tptp.k5_relat_1 (tptp.k6_partfun1 B) (tptp.k4_funcop_1 C A D)) (tptp.k4_funcop_1 C (tptp.k7_relat_1 A B) D))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (= (tptp.k5_funcop_1 A B C) (tptp.k5_relat_1 (tptp.k13_funct_3 (tptp.k2_funcop_1 (tptp.k1_relat_1 C) B) C) A)))))) true (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (forall ((C $$unsorted)) (= (tptp.k5_funcop_1 B C A) (tptp.k3_funcop_1 B (tptp.k2_funcop_1 (tptp.k1_relat_1 A) C) A))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (forall ((C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k5_funcop_1 B D A))) (=> (tptp.r2_hidden C (tptp.k1_relat_1 _let_1)) (= (tptp.k1_funct_1 _let_1 C) (tptp.k1_binop_1 B D (tptp.k1_funct_1 A C)))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (forall ((C $$unsorted) (D $$unsorted)) (=> (and (tptp.v1_relat_1 D) (tptp.v1_funct_1 D)) (forall ((E $$unsorted)) (=> (= (tptp.k7_relat_1 A C) (tptp.k7_relat_1 B C)) (= (tptp.k7_relat_1 (tptp.k5_funcop_1 D E A) C) (tptp.k7_relat_1 (tptp.k5_funcop_1 D E B) C)))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (forall ((C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (forall ((D $$unsorted)) (= (tptp.k5_relat_1 B (tptp.k5_funcop_1 C D A)) (tptp.k5_funcop_1 C D (tptp.k5_relat_1 B A)))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (forall ((C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (forall ((D $$unsorted)) (= (tptp.k5_relat_1 (tptp.k5_funcop_1 C D B) A) (tptp.k5_funcop_1 (tptp.k5_relat_1 C A) D B))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (forall ((D $$unsorted)) (= (tptp.k5_relat_1 (tptp.k6_partfun1 B) (tptp.k5_funcop_1 C D A)) (tptp.k5_funcop_1 C D (tptp.k7_relat_1 A B)))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 B B))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_1 B) (tptp.m2_relset_1 C _let_1 B)) (forall ((D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D A B) (tptp.m2_relset_1 D A B)) (forall ((E $$unsorted)) (let ((_let_1 (tptp.k3_funcop_1 C D E))) (=> (and (tptp.v1_funct_1 E) (tptp.v1_funct_2 E A B) (tptp.m2_relset_1 E A B)) (and (tptp.v1_funct_1 _let_1) (tptp.v1_funct_2 _let_1 A B) (tptp.m2_relset_1 _let_1 A B)))))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_1 A) (tptp.m2_relset_1 C _let_1 A)) (forall ((D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D B A) (tptp.m2_relset_1 D B A)) (forall ((E $$unsorted)) (=> (and (tptp.v1_funct_1 E) (tptp.v1_funct_2 E B A) (tptp.m2_relset_1 E B A)) (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F B) (= (tptp.k8_funct_2 B A (tptp.k6_funcop_1 A B C D E) F) (tptp.k2_binop_1 A A A C (tptp.k8_funct_2 B A D F) (tptp.k8_funct_2 B A E F)))))))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 B B))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_1 B) (tptp.m2_relset_1 C _let_1 B)) (forall ((D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D A B) (tptp.m2_relset_1 D A B)) (forall ((E $$unsorted)) (=> (and (tptp.v1_funct_1 E) (tptp.v1_funct_2 E A B) (tptp.m2_relset_1 E A B)) (forall ((F $$unsorted)) (=> (and (tptp.v1_funct_1 F) (tptp.v1_funct_2 F A B) (tptp.m2_relset_1 F A B)) (=> (forall ((G $$unsorted)) (=> (tptp.m1_subset_1 G A) (= (tptp.k8_funct_2 A B F G) (tptp.k2_binop_1 B B B C (tptp.k8_funct_2 A B D G) (tptp.k8_funct_2 A B E G))))) (= F (tptp.k6_funcop_1 B A C D E)))))))))))))))) true (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 B B))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_1 B) (tptp.m2_relset_1 C _let_1 B)) (forall ((D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D A B) (tptp.m2_relset_1 D A B)) (forall ((E $$unsorted)) (=> (and (tptp.v1_funct_1 E) (tptp.v1_funct_2 E B B) (tptp.m2_relset_1 E B B)) (= (tptp.k7_funct_2 A B B D (tptp.k6_funcop_1 B B C (tptp.k6_partfun1 B) E)) (tptp.k6_funcop_1 B A C D (tptp.k7_funct_2 A B B D E)))))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 B B))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_1 B) (tptp.m2_relset_1 C _let_1 B)) (forall ((D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D A B) (tptp.m2_relset_1 D A B)) (forall ((E $$unsorted)) (=> (and (tptp.v1_funct_1 E) (tptp.v1_funct_2 E B B) (tptp.m2_relset_1 E B B)) (= (tptp.k7_funct_2 A B B D (tptp.k6_funcop_1 B B C E (tptp.k6_partfun1 B))) (tptp.k6_funcop_1 B A C (tptp.k7_funct_2 A B B D E) D))))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 B B))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_1 B) (tptp.m2_relset_1 C _let_1 B)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k6_partfun1 B))) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D A B) (tptp.m2_relset_1 D A B)) (= (tptp.k7_funct_2 A B B D (tptp.k6_funcop_1 B B C _let_1 _let_1)) (tptp.k6_funcop_1 B A C D D)))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_1 A) (tptp.m2_relset_1 B _let_1 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C A) (forall ((D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D A A) (tptp.m2_relset_1 D A A)) (= (tptp.k8_funct_2 A A (tptp.k6_funcop_1 A A B (tptp.k6_partfun1 A) D) C) (tptp.k2_binop_1 A A A B C (tptp.k8_funct_2 A A D C)))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_1 A) (tptp.m2_relset_1 B _let_1 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C A) (forall ((D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D A A) (tptp.m2_relset_1 D A A)) (= (tptp.k8_funct_2 A A (tptp.k6_funcop_1 A A B D (tptp.k6_partfun1 A)) C) (tptp.k2_binop_1 A A A B (tptp.k8_funct_2 A A D C) C))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_1 A) (tptp.m2_relset_1 B _let_1 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k6_partfun1 A))) (=> (tptp.m1_subset_1 C A) (= (tptp.k8_funct_2 A A (tptp.k6_funcop_1 A A B _let_1 _let_1) C) (tptp.k2_binop_1 A A A B C C)))))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k2_funcop_1 A C))) (=> (tptp.r2_hidden C B) (and (tptp.v1_funct_1 _let_1) (tptp.v1_funct_2 _let_1 A B) (tptp.m2_relset_1 _let_1 A B))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k2_funcop_1 A C))) (=> (tptp.m1_subset_1 C B) (and (tptp.v1_funct_1 _let_1) (tptp.v1_funct_2 _let_1 A B) (tptp.m2_relset_1 _let_1 A B))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 B B))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_1 B) (tptp.m2_relset_1 C _let_1 B)) (forall ((D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D A B) (tptp.m2_relset_1 D A B)) (forall ((E $$unsorted)) (let ((_let_1 (tptp.k4_funcop_1 C D E))) (=> (tptp.m1_subset_1 E B) (and (tptp.v1_funct_1 _let_1) (tptp.v1_funct_2 _let_1 A B) (tptp.m2_relset_1 _let_1 A B)))))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_1 A) (tptp.m2_relset_1 C _let_1 A)) (forall ((D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D B A) (tptp.m2_relset_1 D B A)) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E A) (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F B) (= (tptp.k8_funct_2 B A (tptp.k7_funcop_1 A B C D E) F) (tptp.k2_binop_1 A A A C (tptp.k8_funct_2 B A D F) E))))))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_1 A) (tptp.m2_relset_1 C _let_1 A)) (forall ((D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D B A) (tptp.m2_relset_1 D B A)) (forall ((E $$unsorted)) (=> (and (tptp.v1_funct_1 E) (tptp.v1_funct_2 E B A) (tptp.m2_relset_1 E B A)) (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F A) (=> (forall ((G $$unsorted)) (=> (tptp.m1_subset_1 G B) (= (tptp.k8_funct_2 B A D G) (tptp.k2_binop_1 A A A C (tptp.k8_funct_2 B A E G) F)))) (= D (tptp.k7_funcop_1 A B C E F)))))))))))))))) true (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 B B))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_1 B) (tptp.m2_relset_1 C _let_1 B)) (forall ((D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D A B) (tptp.m2_relset_1 D A B)) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E B) (= (tptp.k7_funct_2 A B B D (tptp.k7_funcop_1 B B C (tptp.k6_partfun1 B) E)) (tptp.k7_funcop_1 B A C D E))))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_1 A) (tptp.m2_relset_1 B _let_1 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C A) (= (tptp.k8_funct_2 A A (tptp.k7_funcop_1 A A B (tptp.k6_partfun1 A) C) C) (tptp.k2_binop_1 A A A B C C))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 B B))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_1 B) (tptp.m2_relset_1 C _let_1 B)) (forall ((D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D A B) (tptp.m2_relset_1 D A B)) (forall ((E $$unsorted)) (let ((_let_1 (tptp.k5_funcop_1 C E D))) (=> (tptp.m1_subset_1 E B) (and (tptp.v1_funct_1 _let_1) (tptp.v1_funct_2 _let_1 A B) (tptp.m2_relset_1 _let_1 A B)))))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_1 A) (tptp.m2_relset_1 C _let_1 A)) (forall ((D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D B A) (tptp.m2_relset_1 D B A)) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E A) (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F B) (= (tptp.k8_funct_2 B A (tptp.k8_funcop_1 A B C E D) F) (tptp.k2_binop_1 A A A C E (tptp.k8_funct_2 B A D F)))))))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_1 A) (tptp.m2_relset_1 C _let_1 A)) (forall ((D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D B A) (tptp.m2_relset_1 D B A)) (forall ((E $$unsorted)) (=> (and (tptp.v1_funct_1 E) (tptp.v1_funct_2 E B A) (tptp.m2_relset_1 E B A)) (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F A) (=> (forall ((G $$unsorted)) (=> (tptp.m1_subset_1 G B) (= (tptp.k8_funct_2 B A D G) (tptp.k2_binop_1 A A A C F (tptp.k8_funct_2 B A E G))))) (= D (tptp.k8_funcop_1 A B C F E)))))))))))))))) true (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 B B))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_1 B) (tptp.m2_relset_1 C _let_1 B)) (forall ((D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D A B) (tptp.m2_relset_1 D A B)) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E B) (= (tptp.k7_funct_2 A B B D (tptp.k8_funcop_1 B B C E (tptp.k6_partfun1 B))) (tptp.k8_funcop_1 B A C E D))))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_1 A) (tptp.m2_relset_1 B _let_1 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C A) (= (tptp.k8_funct_2 A A (tptp.k8_funcop_1 A A B C (tptp.k6_partfun1 A)) C) (tptp.k2_binop_1 A A A B C C))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (=> (not (tptp.v1_xboole_0 C)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 B C))) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D A _let_1) (tptp.m2_relset_1 D A _let_1)) (forall ((E $$unsorted)) (let ((_let_1 (tptp.k8_funct_2 A (tptp.k2_zfmisc_1 B C) D E))) (=> (tptp.m1_subset_1 E A) (= (tptp.k1_funct_1 (tptp.k1_funcop_1 D) E) (tptp.k4_tarski (tptp.k2_mcart_1 _let_1) (tptp.k1_mcart_1 _let_1))))))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (=> (not (tptp.v1_xboole_0 C)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 B C))) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D A _let_1) (tptp.m2_relset_1 D A _let_1)) (tptp.m2_relset_1 (tptp.k2_relat_1 D) B C)))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (=> (not (tptp.v1_xboole_0 C)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 B C))) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D A _let_1) (tptp.m2_relset_1 D A _let_1)) (= (tptp.k9_funcop_1 A C B (tptp.k10_funcop_1 A B C D)) (tptp.k4_relat_1 (tptp.k9_funcop_1 A B C D)))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 B B))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_1 B) (tptp.m2_relset_1 C _let_1 B)) (forall ((D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D A B) (tptp.m2_relset_1 D A B)) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E B) (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F B) (=> (tptp.v2_binop_1 C B) (= (tptp.k7_funcop_1 B A C (tptp.k8_funcop_1 B A C E D) F) (tptp.k8_funcop_1 B A C E (tptp.k7_funcop_1 B A C D F))))))))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 B B))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_1 B) (tptp.m2_relset_1 C _let_1 B)) (forall ((D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D A B) (tptp.m2_relset_1 D A B)) (forall ((E $$unsorted)) (=> (and (tptp.v1_funct_1 E) (tptp.v1_funct_2 E A B) (tptp.m2_relset_1 E A B)) (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F B) (=> (tptp.v2_binop_1 C B) (= (tptp.k6_funcop_1 B A C (tptp.k7_funcop_1 B A C D F) E) (tptp.k6_funcop_1 B A C D (tptp.k8_funcop_1 B A C F E))))))))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 B B))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_1 B) (tptp.m2_relset_1 C _let_1 B)) (forall ((D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D A B) (tptp.m2_relset_1 D A B)) (forall ((E $$unsorted)) (=> (and (tptp.v1_funct_1 E) (tptp.v1_funct_2 E A B) (tptp.m2_relset_1 E A B)) (forall ((F $$unsorted)) (=> (and (tptp.v1_funct_1 F) (tptp.v1_funct_2 F A B) (tptp.m2_relset_1 F A B)) (=> (tptp.v2_binop_1 C B) (= (tptp.k6_funcop_1 B A C (tptp.k6_funcop_1 B A C D E) F) (tptp.k6_funcop_1 B A C D (tptp.k6_funcop_1 B A C E F))))))))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 B B))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_1 B) (tptp.m2_relset_1 C _let_1 B)) (forall ((D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D A B) (tptp.m2_relset_1 D A B)) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E B) (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F B) (=> (tptp.v2_binop_1 C B) (= (tptp.k8_funcop_1 B A C (tptp.k2_binop_1 B B B C E F) D) (tptp.k8_funcop_1 B A C E (tptp.k8_funcop_1 B A C F D))))))))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 B B))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_1 B) (tptp.m2_relset_1 C _let_1 B)) (forall ((D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D A B) (tptp.m2_relset_1 D A B)) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E B) (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F B) (=> (tptp.v2_binop_1 C B) (= (tptp.k7_funcop_1 B A C D (tptp.k2_binop_1 B B B C E F)) (tptp.k7_funcop_1 B A C (tptp.k7_funcop_1 B A C D E) F)))))))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 B B))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_1 B) (tptp.m2_relset_1 C _let_1 B)) (forall ((D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D A B) (tptp.m2_relset_1 D A B)) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E B) (=> (tptp.v1_binop_1 C B) (= (tptp.k8_funcop_1 B A C E D) (tptp.k7_funcop_1 B A C D E)))))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 B B))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_1 B) (tptp.m2_relset_1 C _let_1 B)) (forall ((D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D A B) (tptp.m2_relset_1 D A B)) (forall ((E $$unsorted)) (=> (and (tptp.v1_funct_1 E) (tptp.v1_funct_2 E A B) (tptp.m2_relset_1 E A B)) (=> (tptp.v1_binop_1 C B) (= (tptp.k6_funcop_1 B A C D E) (tptp.k6_funcop_1 B A C E D)))))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 B B))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_1 B) (tptp.m2_relset_1 C _let_1 B)) (forall ((D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D A B) (tptp.m2_relset_1 D A B)) (=> (tptp.v3_binop_1 C B) (= (tptp.k6_funcop_1 B A C D D) D))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_1 A) (tptp.m2_relset_1 C _let_1 A)) (forall ((D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D B A) (tptp.m2_relset_1 D B A)) (forall ((E $$unsorted)) (let ((_let_1 (tptp.k8_funct_2 B A D E))) (=> (tptp.m1_subset_1 E B) (=> (tptp.v3_binop_1 C A) (= (tptp.k8_funct_2 B A (tptp.k8_funcop_1 A B C _let_1 D) E) _let_1)))))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_1 A) (tptp.m2_relset_1 C _let_1 A)) (forall ((D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D B A) (tptp.m2_relset_1 D B A)) (forall ((E $$unsorted)) (let ((_let_1 (tptp.k8_funct_2 B A D E))) (=> (tptp.m1_subset_1 E B) (=> (tptp.v3_binop_1 C A) (= (tptp.k8_funct_2 B A (tptp.k7_funcop_1 A B C D _let_1) E) _let_1)))))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (forall ((C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (=> (tptp.r1_tarski (tptp.k2_zfmisc_1 (tptp.k2_relat_1 B) (tptp.k2_relat_1 C)) (tptp.k1_relat_1 A)) (= (tptp.k1_relat_1 (tptp.k3_funcop_1 A B C)) (tptp.k3_xboole_0 (tptp.k1_relat_1 B) (tptp.k1_relat_1 C)))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (= (tptp.v1_funcop_1 A) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k1_funct_1 A B))) (=> (tptp.r2_hidden B (tptp.k1_relat_1 A)) (and (tptp.v1_relat_1 _let_1) (tptp.v1_funct_1 _let_1)))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k1_funcop_1 A))) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (and (tptp.v1_relat_1 _let_1) (tptp.v1_funct_1 _let_1))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (= (tptp.k1_funcop_1 (tptp.k1_funcop_1 A)) A))) true true true true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (let ((_let_1 (tptp.k6_funcop_1 A B C D E))) (let ((_let_2 (tptp.k2_zfmisc_1 A A))) (=> (and (not (tptp.v1_xboole_0 A)) (not (tptp.v1_xboole_0 B)) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 A) (tptp.m1_relset_1 C _let_2 A) (tptp.v1_funct_1 D) (tptp.v1_funct_2 D B A) (tptp.m1_relset_1 D B A) (tptp.v1_funct_1 E) (tptp.v1_funct_2 E B A) (tptp.m1_relset_1 E B A)) (and (tptp.v1_funct_1 _let_1) (tptp.v1_funct_2 _let_1 B A) (tptp.m2_relset_1 _let_1 B A)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A A))) (=> (and (not (tptp.v1_xboole_0 A)) (not (tptp.v1_xboole_0 B)) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_1 A) (tptp.m1_relset_1 C _let_1 A) (tptp.v1_funct_1 D) (tptp.v1_funct_2 D B A) (tptp.m1_relset_1 D B A) (tptp.v1_funct_1 E) (tptp.v1_funct_2 E B A) (tptp.m1_relset_1 E B A)) (= (tptp.k6_funcop_1 A B C D E) (tptp.k3_funcop_1 C D E))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (let ((_let_1 (tptp.k7_funcop_1 A B C D E))) (let ((_let_2 (tptp.k2_zfmisc_1 A A))) (=> (and (not (tptp.v1_xboole_0 A)) (not (tptp.v1_xboole_0 B)) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 A) (tptp.m1_relset_1 C _let_2 A) (tptp.v1_funct_1 D) (tptp.v1_funct_2 D B A) (tptp.m1_relset_1 D B A) (tptp.m1_subset_1 E A)) (and (tptp.v1_funct_1 _let_1) (tptp.v1_funct_2 _let_1 B A) (tptp.m2_relset_1 _let_1 B A)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A A))) (=> (and (not (tptp.v1_xboole_0 A)) (not (tptp.v1_xboole_0 B)) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_1 A) (tptp.m1_relset_1 C _let_1 A) (tptp.v1_funct_1 D) (tptp.v1_funct_2 D B A) (tptp.m1_relset_1 D B A) (tptp.m1_subset_1 E A)) (= (tptp.k7_funcop_1 A B C D E) (tptp.k4_funcop_1 C D E))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (let ((_let_1 (tptp.k8_funcop_1 A B C D E))) (let ((_let_2 (tptp.k2_zfmisc_1 A A))) (=> (and (not (tptp.v1_xboole_0 A)) (not (tptp.v1_xboole_0 B)) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 A) (tptp.m1_relset_1 C _let_2 A) (tptp.m1_subset_1 D A) (tptp.v1_funct_1 E) (tptp.v1_funct_2 E B A) (tptp.m1_relset_1 E B A)) (and (tptp.v1_funct_1 _let_1) (tptp.v1_funct_2 _let_1 B A) (tptp.m2_relset_1 _let_1 B A)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A A))) (=> (and (not (tptp.v1_xboole_0 A)) (not (tptp.v1_xboole_0 B)) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_1 A) (tptp.m1_relset_1 C _let_1 A) (tptp.m1_subset_1 D A) (tptp.v1_funct_1 E) (tptp.v1_funct_2 E B A) (tptp.m1_relset_1 E B A)) (= (tptp.k8_funcop_1 A B C D E) (tptp.k5_funcop_1 C D E))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 B C))) (=> (and (not (tptp.v1_xboole_0 A)) (not (tptp.v1_xboole_0 B)) (not (tptp.v1_xboole_0 C)) (tptp.v1_funct_1 D) (tptp.v1_funct_2 D A _let_1) (tptp.m1_relset_1 D A _let_1)) (tptp.m2_relset_1 (tptp.k9_funcop_1 A B C D) B C)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 B C))) (=> (and (not (tptp.v1_xboole_0 A)) (not (tptp.v1_xboole_0 B)) (not (tptp.v1_xboole_0 C)) (tptp.v1_funct_1 D) (tptp.v1_funct_2 D A _let_1) (tptp.m1_relset_1 D A _let_1)) (= (tptp.k9_funcop_1 A B C D) (tptp.k2_relat_1 D))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 C B))) (let ((_let_2 (tptp.k10_funcop_1 A B C D))) (let ((_let_3 (tptp.k2_zfmisc_1 B C))) (=> (and (not (tptp.v1_xboole_0 A)) (not (tptp.v1_xboole_0 B)) (not (tptp.v1_xboole_0 C)) (tptp.v1_funct_1 D) (tptp.v1_funct_2 D A _let_3) (tptp.m1_relset_1 D A _let_3)) (and (tptp.v1_funct_1 _let_2) (tptp.v1_funct_2 _let_2 A _let_1) (tptp.m2_relset_1 _let_2 A _let_1))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 B C))) (=> (and (not (tptp.v1_xboole_0 A)) (not (tptp.v1_xboole_0 B)) (not (tptp.v1_xboole_0 C)) (tptp.v1_funct_1 D) (tptp.v1_funct_2 D A _let_1) (tptp.m1_relset_1 D A _let_1)) (= (tptp.k10_funcop_1 A B C (tptp.k10_funcop_1 A B C D)) D)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 B C))) (=> (and (not (tptp.v1_xboole_0 A)) (not (tptp.v1_xboole_0 B)) (not (tptp.v1_xboole_0 C)) (tptp.v1_funct_1 D) (tptp.v1_funct_2 D A _let_1) (tptp.m1_relset_1 D A _let_1)) (= (tptp.k10_funcop_1 A B C D) (tptp.k1_funcop_1 D))))) (and (tptp.v1_ordinal1 tptp.k5_ordinal2) (tptp.v2_ordinal1 tptp.k5_ordinal2) (tptp.v3_ordinal1 tptp.k5_ordinal2) (not (tptp.v1_xboole_0 tptp.k5_ordinal2))) (exists ((A $$unsorted)) (and (tptp.v1_ordinal1 A) (tptp.v2_ordinal1 A) (tptp.v3_ordinal1 A) (tptp.v4_ordinal1 A))) (exists ((A $$unsorted)) (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v5_ordinal1 A) (tptp.v1_ordinal2 A))) (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (forall ((B $$unsorted)) (=> (tptp.m1_ordinal1 B A) (tptp.v1_ordinal2 B))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k7_relat_1 A B))) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v5_ordinal1 A) (tptp.v1_ordinal2 A) (tptp.v3_ordinal1 B)) (and (tptp.v1_relat_1 _let_1) (tptp.v1_funct_1 _let_1) (tptp.v1_ordinal2 _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k1_funct_1 A B))) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v5_ordinal1 A) (tptp.v1_ordinal2 A) (tptp.v3_ordinal1 B)) (and (tptp.v1_ordinal1 _let_1) (tptp.v2_ordinal1 _let_1) (tptp.v3_ordinal1 _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k2_funcop_1 A B))) (=> (tptp.v3_ordinal1 B) (and (tptp.v1_relat_1 _let_1) (tptp.v1_funct_1 _let_1) (tptp.v1_ordinal2 _let_1))))) (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (forall ((B $$unsorted)) (=> (tptp.v3_ordinal1 B) (= (tptp.r1_ordinal1 A B) (tptp.r1_ordinal1 (tptp.k1_ordinal1 A) (tptp.k1_ordinal1 B))))))) (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (= (tptp.k3_tarski (tptp.k1_ordinal1 A)) A))) (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (tptp.r1_tarski (tptp.k1_ordinal1 A) (tptp.k1_zfmisc_1 A)))) (tptp.v4_ordinal1 tptp.k1_xboole_0) (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (tptp.r1_ordinal1 (tptp.k3_tarski A) A))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v5_ordinal1 A)) (= (tptp.k1_ordinal2 A) (tptp.k1_funct_1 A (tptp.k3_tarski (tptp.k1_relat_1 A)))))) true (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (tptp.v5_ordinal1 B)) (=> (= (tptp.k1_relat_1 B) (tptp.k1_ordinal1 A)) (= (tptp.k1_ordinal2 B) (tptp.k1_funct_1 B A))))))) (forall ((A $$unsorted) (B $$unsorted)) (= (= B (tptp.k2_ordinal2 A)) (forall ((C $$unsorted)) (= (tptp.r2_hidden C B) (and (tptp.r2_hidden C A) (tptp.v3_ordinal1 C)))))) (forall ((A $$unsorted) (B $$unsorted)) (= (= B (tptp.k3_ordinal2 A)) (forall ((C $$unsorted)) (= (tptp.r2_hidden C B) (and (tptp.r2_hidden C A) (exists ((D $$unsorted)) (and (tptp.v3_ordinal1 D) (= C D) (tptp.v4_ordinal1 D)))))))) true (forall ((A $$unsorted)) (tptp.r1_tarski (tptp.k2_ordinal2 A) A)) (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (= (tptp.k2_ordinal2 A) A))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.r1_tarski A B) (tptp.r1_tarski (tptp.k2_ordinal2 A) (tptp.k2_ordinal2 B)))) true (forall ((A $$unsorted)) (tptp.r1_tarski (tptp.k3_ordinal2 A) A)) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.r1_tarski A B) (tptp.r1_tarski (tptp.k3_ordinal2 A) (tptp.k3_ordinal2 B)))) (forall ((A $$unsorted)) (tptp.r1_tarski (tptp.k3_ordinal2 A) (tptp.k2_ordinal2 A))) (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (exists ((B $$unsorted)) (and (tptp.v3_ordinal1 B) (tptp.r2_hidden A B) (tptp.v4_ordinal1 B))))) (forall ((A $$unsorted)) (=> (forall ((B $$unsorted)) (=> (tptp.r2_hidden B A) (tptp.v3_ordinal1 B))) (tptp.v3_ordinal1 (tptp.k1_setfam_1 A)))) (= tptp.k4_ordinal2 (tptp.k1_ordinal1 tptp.k1_xboole_0)) (forall ((A $$unsorted)) (= (= A tptp.k5_ordinal2) (and (tptp.r2_hidden tptp.k1_xboole_0 A) (tptp.v4_ordinal1 A) (tptp.v3_ordinal1 A) (forall ((B $$unsorted)) (=> (tptp.v3_ordinal1 B) (=> (and (tptp.r2_hidden tptp.k1_xboole_0 B) (tptp.v4_ordinal1 B)) (tptp.r1_tarski A B))))))) (forall ((A $$unsorted)) (= (tptp.k6_ordinal2 A) (tptp.k1_setfam_1 (tptp.k2_ordinal2 A)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.v3_ordinal1 B) (= (= B (tptp.k7_ordinal2 A)) (and (tptp.r1_tarski (tptp.k2_ordinal2 A) B) (forall ((C $$unsorted)) (=> (tptp.v3_ordinal1 C) (=> (tptp.r1_tarski (tptp.k2_ordinal2 A) C) (tptp.r1_ordinal1 B C)))))))) true (and (tptp.r2_hidden tptp.k1_xboole_0 tptp.k5_ordinal2) (tptp.v4_ordinal1 tptp.k5_ordinal2) (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (=> (and (tptp.r2_hidden tptp.k1_xboole_0 A) (tptp.v4_ordinal1 A)) (tptp.r1_ordinal1 tptp.k5_ordinal2 A))))) true true (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (forall ((B $$unsorted)) (=> (tptp.r2_hidden A B) (tptp.r1_ordinal1 (tptp.k6_ordinal2 B) A))))) (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (forall ((B $$unsorted)) (=> (forall ((C $$unsorted)) (=> (tptp.v3_ordinal1 C) (=> (tptp.r2_hidden C B) (tptp.r1_ordinal1 A C)))) (or (= (tptp.k2_ordinal2 B) tptp.k1_xboole_0) (tptp.r1_ordinal1 A (tptp.k6_ordinal2 B))))))) (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (forall ((B $$unsorted) (C $$unsorted)) (=> (and (tptp.r2_hidden A B) (tptp.r1_tarski B C)) (tptp.r1_ordinal1 (tptp.k6_ordinal2 C) (tptp.k6_ordinal2 B)))))) (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (forall ((B $$unsorted)) (=> (tptp.r2_hidden A B) (tptp.r2_hidden (tptp.k6_ordinal2 B) B))))) (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (= (tptp.k7_ordinal2 A) A))) (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (forall ((B $$unsorted)) (=> (tptp.r2_hidden A B) (tptp.r2_hidden A (tptp.k7_ordinal2 B)))))) (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (forall ((B $$unsorted)) (=> (forall ((C $$unsorted)) (=> (tptp.v3_ordinal1 C) (=> (tptp.r2_hidden C B) (tptp.r2_hidden C A)))) (tptp.r1_ordinal1 (tptp.k7_ordinal2 B) A))))) (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (forall ((B $$unsorted)) (not (and (tptp.r2_hidden A (tptp.k7_ordinal2 B)) (forall ((C $$unsorted)) (=> (tptp.v3_ordinal1 C) (not (and (tptp.r2_hidden C B) (tptp.r1_ordinal1 A C)))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.r1_tarski A B) (tptp.r1_ordinal1 (tptp.k7_ordinal2 A) (tptp.k7_ordinal2 B)))) (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (= (tptp.k7_ordinal2 (tptp.k1_tarski A)) (tptp.k1_ordinal1 A)))) (forall ((A $$unsorted)) (tptp.r1_ordinal1 (tptp.k6_ordinal2 A) (tptp.k7_ordinal2 A))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (= (tptp.v1_ordinal2 A) (exists ((B $$unsorted)) (and (tptp.v3_ordinal1 B) (tptp.r1_tarski (tptp.k2_relat_1 A) B)))))) true (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (tptp.v5_ordinal1 B) (tptp.v1_ordinal2 B)) (=> (tptp.r2_hidden A (tptp.k1_relat_1 B)) (tptp.v3_ordinal1 (tptp.k1_funct_1 B A))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v5_ordinal1 A)) (= (tptp.k8_ordinal2 A) (tptp.k7_ordinal2 (tptp.k2_relat_1 A))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v5_ordinal1 A)) (= (tptp.k9_ordinal2 A) (tptp.k6_ordinal2 (tptp.k2_relat_1 A))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k2_relat_1 A))) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v5_ordinal1 A)) (and (= (tptp.k8_ordinal2 A) (tptp.k7_ordinal2 _let_1)) (= (tptp.k9_ordinal2 A) (tptp.k6_ordinal2 _let_1)))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v5_ordinal1 A)) (forall ((B $$unsorted)) (=> (tptp.v3_ordinal1 B) (= (= B (tptp.k10_ordinal2 A)) (exists ((C $$unsorted)) (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C) (tptp.v5_ordinal1 C) (tptp.v1_ordinal2 C) (= B (tptp.k9_ordinal2 C)) (= (tptp.k1_relat_1 C) (tptp.k1_relat_1 A)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k1_relat_1 A))) (=> (tptp.v3_ordinal1 D) (=> (tptp.r2_hidden D _let_1) (= (tptp.k1_funct_1 C D) (tptp.k7_ordinal2 (tptp.k2_relat_1 (tptp.k7_relat_1 A (tptp.k4_xboole_0 _let_1 D)))))))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v5_ordinal1 A)) (forall ((B $$unsorted)) (=> (tptp.v3_ordinal1 B) (= (= B (tptp.k11_ordinal2 A)) (exists ((C $$unsorted)) (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C) (tptp.v5_ordinal1 C) (tptp.v1_ordinal2 C) (= B (tptp.k8_ordinal2 C)) (= (tptp.k1_relat_1 C) (tptp.k1_relat_1 A)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k1_relat_1 A))) (=> (tptp.v3_ordinal1 D) (=> (tptp.r2_hidden D _let_1) (= (tptp.k1_funct_1 C D) (tptp.k6_ordinal2 (tptp.k2_relat_1 (tptp.k7_relat_1 A (tptp.k4_xboole_0 _let_1 D)))))))))))))))) (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (forall ((B $$unsorted)) (let ((_let_1 (tptp.r1_ordinal2 A B))) (let ((_let_2 (= A tptp.k1_xboole_0))) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (tptp.v5_ordinal1 B) (tptp.v1_ordinal2 B)) (and (=> _let_2 (= _let_1 (exists ((C $$unsorted)) (and (tptp.v3_ordinal1 C) (tptp.r2_hidden C (tptp.k1_relat_1 B)) (forall ((D $$unsorted)) (=> (tptp.v3_ordinal1 D) (=> (and (tptp.r1_ordinal1 C D) (tptp.r2_hidden D (tptp.k1_relat_1 B))) (= (tptp.k1_funct_1 B D) tptp.k1_xboole_0)))))))) (=> (not _let_2) (= _let_1 (forall ((C $$unsorted)) (=> (tptp.v3_ordinal1 C) (forall ((D $$unsorted)) (=> (tptp.v3_ordinal1 D) (not (and (tptp.r2_hidden C A) (tptp.r2_hidden A D) (forall ((E $$unsorted)) (=> (tptp.v3_ordinal1 E) (not (and (tptp.r2_hidden E (tptp.k1_relat_1 B)) (forall ((F $$unsorted)) (let ((_let_1 (tptp.k1_funct_1 B F))) (=> (tptp.v3_ordinal1 F) (=> (and (tptp.r1_ordinal1 E F) (tptp.r2_hidden F (tptp.k1_relat_1 B))) (and (tptp.r2_hidden C _let_1) (tptp.r2_hidden _let_1 D))))))))))))))))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v5_ordinal1 A) (tptp.v1_ordinal2 A)) (=> (exists ((B $$unsorted)) (and (tptp.v3_ordinal1 B) (tptp.r1_ordinal2 B A))) (forall ((B $$unsorted)) (=> (tptp.v3_ordinal1 B) (= (= B (tptp.k12_ordinal2 A)) (tptp.r1_ordinal2 B A))))))) (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (tptp.v5_ordinal1 B) (tptp.v1_ordinal2 B)) (= (tptp.k13_ordinal2 A B) (tptp.k12_ordinal2 (tptp.k2_ordinal1 B A))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v5_ordinal1 A) (tptp.v1_ordinal2 A)) (= (tptp.v2_ordinal2 A) (forall ((B $$unsorted)) (=> (tptp.v3_ordinal1 B) (forall ((C $$unsorted)) (=> (tptp.v3_ordinal1 C) (=> (and (tptp.r2_hidden B C) (tptp.r2_hidden C (tptp.k1_relat_1 A))) (tptp.r2_hidden (tptp.k1_funct_1 A B) (tptp.k1_funct_1 A C)))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v5_ordinal1 A) (tptp.v1_ordinal2 A)) (= (tptp.v3_ordinal2 A) (forall ((B $$unsorted)) (=> (tptp.v3_ordinal1 B) (forall ((C $$unsorted)) (=> (tptp.v3_ordinal1 C) (=> (and (tptp.r2_hidden B (tptp.k1_relat_1 A)) (tptp.v4_ordinal1 B) (= C (tptp.k1_funct_1 A B))) (or (= B tptp.k1_xboole_0) (tptp.r1_ordinal2 C (tptp.k2_ordinal1 A B))))))))))) (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (forall ((B $$unsorted)) (=> (tptp.v3_ordinal1 B) (forall ((C $$unsorted)) (=> (tptp.v3_ordinal1 C) (= (= C (tptp.k14_ordinal2 A B)) (exists ((D $$unsorted)) (and (tptp.v1_relat_1 D) (tptp.v1_funct_1 D) (tptp.v5_ordinal1 D) (tptp.v1_ordinal2 D) (= C (tptp.k1_ordinal2 D)) (= (tptp.k1_relat_1 D) (tptp.k1_ordinal1 B)) (= (tptp.k1_funct_1 D tptp.k1_xboole_0) A) (forall ((E $$unsorted)) (let ((_let_1 (tptp.k1_ordinal1 E))) (=> (tptp.v3_ordinal1 E) (=> (tptp.r2_hidden _let_1 (tptp.k1_ordinal1 B)) (= (tptp.k1_funct_1 D _let_1) (tptp.k1_ordinal1 (tptp.k1_funct_1 D E))))))) (forall ((E $$unsorted)) (=> (tptp.v3_ordinal1 E) (=> (and (tptp.r2_hidden E (tptp.k1_ordinal1 B)) (tptp.v4_ordinal1 E)) (or (= E tptp.k1_xboole_0) (= (tptp.k1_funct_1 D E) (tptp.k8_ordinal2 (tptp.k2_ordinal1 D E)))))))))))))))) (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (forall ((B $$unsorted)) (=> (tptp.v3_ordinal1 B) (forall ((C $$unsorted)) (=> (tptp.v3_ordinal1 C) (= (= C (tptp.k15_ordinal2 A B)) (exists ((D $$unsorted)) (and (tptp.v1_relat_1 D) (tptp.v1_funct_1 D) (tptp.v5_ordinal1 D) (tptp.v1_ordinal2 D) (= C (tptp.k1_ordinal2 D)) (= (tptp.k1_relat_1 D) (tptp.k1_ordinal1 A)) (= (tptp.k1_funct_1 D tptp.k1_xboole_0) tptp.k1_xboole_0) (forall ((E $$unsorted)) (let ((_let_1 (tptp.k1_ordinal1 E))) (=> (tptp.v3_ordinal1 E) (=> (tptp.r2_hidden _let_1 (tptp.k1_ordinal1 A)) (= (tptp.k1_funct_1 D _let_1) (tptp.k14_ordinal2 (tptp.k1_funct_1 D E) B)))))) (forall ((E $$unsorted)) (=> (tptp.v3_ordinal1 E) (=> (and (tptp.r2_hidden E (tptp.k1_ordinal1 A)) (tptp.v4_ordinal1 E)) (or (= E tptp.k1_xboole_0) (= (tptp.k1_funct_1 D E) (tptp.k3_tarski (tptp.k8_ordinal2 (tptp.k2_ordinal1 D E))))))))))))))))) (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (forall ((B $$unsorted)) (=> (tptp.v3_ordinal1 B) (forall ((C $$unsorted)) (=> (tptp.v3_ordinal1 C) (= (= C (tptp.k16_ordinal2 A B)) (exists ((D $$unsorted)) (and (tptp.v1_relat_1 D) (tptp.v1_funct_1 D) (tptp.v5_ordinal1 D) (tptp.v1_ordinal2 D) (= C (tptp.k1_ordinal2 D)) (= (tptp.k1_relat_1 D) (tptp.k1_ordinal1 B)) (= (tptp.k1_funct_1 D tptp.k1_xboole_0) tptp.k4_ordinal2) (forall ((E $$unsorted)) (let ((_let_1 (tptp.k1_ordinal1 E))) (=> (tptp.v3_ordinal1 E) (=> (tptp.r2_hidden _let_1 (tptp.k1_ordinal1 B)) (= (tptp.k1_funct_1 D _let_1) (tptp.k15_ordinal2 A (tptp.k1_funct_1 D E))))))) (forall ((E $$unsorted)) (=> (tptp.v3_ordinal1 E) (=> (and (tptp.r2_hidden E (tptp.k1_ordinal1 B)) (tptp.v4_ordinal1 E)) (or (= E tptp.k1_xboole_0) (= (tptp.k1_funct_1 D E) (tptp.k12_ordinal2 (tptp.k2_ordinal1 D E)))))))))))))))) true true true true true true true true (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (= (tptp.k14_ordinal2 A tptp.k1_xboole_0) A))) (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (forall ((B $$unsorted)) (=> (tptp.v3_ordinal1 B) (= (tptp.k14_ordinal2 A (tptp.k1_ordinal1 B)) (tptp.k1_ordinal1 (tptp.k14_ordinal2 A B))))))) (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (forall ((B $$unsorted)) (=> (tptp.v3_ordinal1 B) (=> (tptp.v4_ordinal1 A) (or (= A tptp.k1_xboole_0) (forall ((C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C) (tptp.v5_ordinal1 C) (tptp.v1_ordinal2 C)) (=> (and (= (tptp.k1_relat_1 C) A) (forall ((D $$unsorted)) (=> (tptp.v3_ordinal1 D) (=> (tptp.r2_hidden D A) (= (tptp.k1_funct_1 C D) (tptp.k14_ordinal2 B D)))))) (= (tptp.k14_ordinal2 B A) (tptp.k8_ordinal2 C))))))))))) (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (= (tptp.k14_ordinal2 tptp.k1_xboole_0 A) A))) (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (= (tptp.k14_ordinal2 A tptp.k4_ordinal2) (tptp.k1_ordinal1 A)))) (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (forall ((B $$unsorted)) (=> (tptp.v3_ordinal1 B) (forall ((C $$unsorted)) (=> (tptp.v3_ordinal1 C) (=> (tptp.r2_hidden A B) (tptp.r2_hidden (tptp.k14_ordinal2 C A) (tptp.k14_ordinal2 C B))))))))) (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (forall ((B $$unsorted)) (=> (tptp.v3_ordinal1 B) (forall ((C $$unsorted)) (=> (tptp.v3_ordinal1 C) (=> (tptp.r1_ordinal1 A B) (tptp.r1_ordinal1 (tptp.k14_ordinal2 C A) (tptp.k14_ordinal2 C B))))))))) (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (forall ((B $$unsorted)) (=> (tptp.v3_ordinal1 B) (forall ((C $$unsorted)) (=> (tptp.v3_ordinal1 C) (=> (tptp.r1_ordinal1 A B) (tptp.r1_ordinal1 (tptp.k14_ordinal2 A C) (tptp.k14_ordinal2 B C))))))))) (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (= (tptp.k15_ordinal2 tptp.k1_xboole_0 A) tptp.k1_xboole_0))) (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (forall ((B $$unsorted)) (=> (tptp.v3_ordinal1 B) (= (tptp.k15_ordinal2 (tptp.k1_ordinal1 A) B) (tptp.k14_ordinal2 (tptp.k15_ordinal2 A B) B)))))) (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (forall ((B $$unsorted)) (=> (tptp.v3_ordinal1 B) (=> (tptp.v4_ordinal1 A) (or (= A tptp.k1_xboole_0) (forall ((C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C) (tptp.v5_ordinal1 C) (tptp.v1_ordinal2 C)) (=> (and (= (tptp.k1_relat_1 C) A) (forall ((D $$unsorted)) (=> (tptp.v3_ordinal1 D) (=> (tptp.r2_hidden D A) (= (tptp.k1_funct_1 C D) (tptp.k15_ordinal2 D B)))))) (= (tptp.k15_ordinal2 A B) (tptp.k3_tarski (tptp.k8_ordinal2 C)))))))))))) (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (= (tptp.k15_ordinal2 A tptp.k1_xboole_0) tptp.k1_xboole_0))) (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (and (= (tptp.k15_ordinal2 tptp.k4_ordinal2 A) A) (= (tptp.k15_ordinal2 A tptp.k4_ordinal2) A)))) (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (forall ((B $$unsorted)) (=> (tptp.v3_ordinal1 B) (forall ((C $$unsorted)) (=> (tptp.v3_ordinal1 C) (=> (tptp.r2_hidden B C) (or (= A tptp.k1_xboole_0) (tptp.r2_hidden (tptp.k15_ordinal2 B A) (tptp.k15_ordinal2 C A)))))))))) (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (forall ((B $$unsorted)) (=> (tptp.v3_ordinal1 B) (forall ((C $$unsorted)) (=> (tptp.v3_ordinal1 C) (=> (tptp.r1_ordinal1 A B) (tptp.r1_ordinal1 (tptp.k15_ordinal2 A C) (tptp.k15_ordinal2 B C))))))))) (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (forall ((B $$unsorted)) (=> (tptp.v3_ordinal1 B) (forall ((C $$unsorted)) (=> (tptp.v3_ordinal1 C) (=> (tptp.r1_ordinal1 A B) (tptp.r1_ordinal1 (tptp.k15_ordinal2 C A) (tptp.k15_ordinal2 C B))))))))) (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (= (tptp.k16_ordinal2 A tptp.k1_xboole_0) tptp.k4_ordinal2))) (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (forall ((B $$unsorted)) (=> (tptp.v3_ordinal1 B) (= (tptp.k16_ordinal2 A (tptp.k1_ordinal1 B)) (tptp.k15_ordinal2 A (tptp.k16_ordinal2 A B))))))) (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (forall ((B $$unsorted)) (=> (tptp.v3_ordinal1 B) (=> (tptp.v4_ordinal1 A) (or (= A tptp.k1_xboole_0) (forall ((C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C) (tptp.v5_ordinal1 C) (tptp.v1_ordinal2 C)) (=> (and (= (tptp.k1_relat_1 C) A) (forall ((D $$unsorted)) (=> (tptp.v3_ordinal1 D) (=> (tptp.r2_hidden D A) (= (tptp.k1_funct_1 C D) (tptp.k16_ordinal2 B D)))))) (= (tptp.k16_ordinal2 B A) (tptp.k12_ordinal2 C))))))))))) (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (and (= (tptp.k16_ordinal2 A tptp.k4_ordinal2) A) (= (tptp.k16_ordinal2 tptp.k4_ordinal2 A) tptp.k4_ordinal2)))) (forall ((A $$unsorted)) (= (tptp.v4_ordinal2 A) (tptp.r2_hidden A tptp.k5_ordinal2))) true (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (exists ((B $$unsorted)) (and (tptp.v3_ordinal1 B) (exists ((C $$unsorted)) (and (tptp.v3_ordinal1 C) (tptp.v4_ordinal1 B) (tptp.v4_ordinal2 C) (= A (tptp.k14_ordinal2 B C)))))))) (=> (and (tptp.p1_s1_ordinal2 tptp.k1_xboole_0) (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (=> (tptp.p1_s1_ordinal2 A) (tptp.p1_s1_ordinal2 (tptp.k1_ordinal1 A))))) (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (=> (and (tptp.v4_ordinal1 A) (forall ((B $$unsorted)) (=> (tptp.v3_ordinal1 B) (=> (tptp.r2_hidden B A) (tptp.p1_s1_ordinal2 B))))) (or (= A tptp.k1_xboole_0) (tptp.p1_s1_ordinal2 A)))))) (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (tptp.p1_s1_ordinal2 A)))) (exists ((A $$unsorted)) (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v5_ordinal1 A) (= (tptp.k1_relat_1 A) tptp.f1_s2_ordinal2) (forall ((B $$unsorted)) (=> (tptp.v3_ordinal1 B) (=> (tptp.r2_hidden B tptp.f1_s2_ordinal2) (= (tptp.k1_funct_1 A B) (tptp.f2_s2_ordinal2 B))))))) (exists ((A $$unsorted)) (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v5_ordinal1 A) (tptp.v1_ordinal2 A) (= (tptp.k1_relat_1 A) tptp.f1_s3_ordinal2) (forall ((B $$unsorted)) (=> (tptp.v3_ordinal1 B) (=> (tptp.r2_hidden B tptp.f1_s3_ordinal2) (= (tptp.k1_funct_1 A B) (tptp.f2_s3_ordinal2 B))))))) (=> (and (= (tptp.k1_relat_1 tptp.f5_s4_ordinal2) tptp.f1_s4_ordinal2) (=> _let_24 (= (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_24 (= (tptp.k1_funct_1 tptp.f6_s4_ordinal2 tptp.k1_xboole_0) tptp.f2_s4_ordinal2)) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k1_ordinal1 A))) (=> (tptp.v3_ordinal1 A) (=> (tptp.r2_hidden _let_1 tptp.f1_s4_ordinal2) (= (tptp.k1_funct_1 tptp.f6_s4_ordinal2 _let_1) (tptp.f3_s4_ordinal2 A (tptp.k1_funct_1 tptp.f6_s4_ordinal2 A))))))) (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (=> (and (tptp.r2_hidden A tptp.f1_s4_ordinal2) (tptp.v4_ordinal1 A)) (or (= A tptp.k1_xboole_0) (= (tptp.k1_funct_1 tptp.f6_s4_ordinal2 A) (tptp.f4_s4_ordinal2 A (tptp.k2_ordinal1 tptp.f6_s4_ordinal2 A)))))))) (= tptp.f5_s4_ordinal2 tptp.f6_s4_ordinal2)) (exists ((A $$unsorted)) (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v5_ordinal1 A) (= (tptp.k1_relat_1 A) tptp.f1_s5_ordinal2) (=> (tptp.r2_hidden tptp.k1_xboole_0 tptp.f1_s5_ordinal2) (= (tptp.k1_funct_1 A tptp.k1_xboole_0) tptp.f2_s5_ordinal2)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k1_ordinal1 B))) (=> (tptp.v3_ordinal1 B) (=> (tptp.r2_hidden _let_1 tptp.f1_s5_ordinal2) (= (tptp.k1_funct_1 A _let_1) (tptp.f3_s5_ordinal2 B (tptp.k1_funct_1 A B))))))) (forall ((B $$unsorted)) (=> (tptp.v3_ordinal1 B) (=> (and (tptp.r2_hidden B tptp.f1_s5_ordinal2) (tptp.v4_ordinal1 B)) (or (= B tptp.k1_xboole_0) (= (tptp.k1_funct_1 A B) (tptp.f4_s5_ordinal2 B (tptp.k2_ordinal1 A B))))))))) (=> (and (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (forall ((B $$unsorted)) (= (= B (tptp.f2_s6_ordinal2 A)) (exists ((C $$unsorted)) (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C) (tptp.v5_ordinal1 C) (= B (tptp.k1_ordinal2 C)) (= (tptp.k1_relat_1 C) (tptp.k1_ordinal1 A)) (= (tptp.k1_funct_1 C tptp.k1_xboole_0) tptp.f4_s6_ordinal2) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k1_ordinal1 D))) (=> (tptp.v3_ordinal1 D) (=> (tptp.r2_hidden _let_1 (tptp.k1_ordinal1 A)) (= (tptp.k1_funct_1 C _let_1) (tptp.f5_s6_ordinal2 D (tptp.k1_funct_1 C D))))))) (forall ((D $$unsorted)) (=> (tptp.v3_ordinal1 D) (=> (and (tptp.r2_hidden D (tptp.k1_ordinal1 A)) (tptp.v4_ordinal1 D)) (or (= D tptp.k1_xboole_0) (= (tptp.k1_funct_1 C D) (tptp.f6_s6_ordinal2 D (tptp.k2_ordinal1 C D))))))))))))) (= (tptp.k1_relat_1 tptp.f1_s6_ordinal2) tptp.f3_s6_ordinal2) (=> (tptp.r2_hidden tptp.k1_xboole_0 tptp.f3_s6_ordinal2) (= (tptp.k1_funct_1 tptp.f1_s6_ordinal2 tptp.k1_xboole_0) tptp.f4_s6_ordinal2)) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k1_ordinal1 A))) (=> (tptp.v3_ordinal1 A) (=> (tptp.r2_hidden _let_1 tptp.f3_s6_ordinal2) (= (tptp.k1_funct_1 tptp.f1_s6_ordinal2 _let_1) (tptp.f5_s6_ordinal2 A (tptp.k1_funct_1 tptp.f1_s6_ordinal2 A))))))) (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (=> (and (tptp.r2_hidden A tptp.f3_s6_ordinal2) (tptp.v4_ordinal1 A)) (or (= A tptp.k1_xboole_0) (= (tptp.k1_funct_1 tptp.f1_s6_ordinal2 A) (tptp.f6_s6_ordinal2 A (tptp.k2_ordinal1 tptp.f1_s6_ordinal2 A)))))))) (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (=> (tptp.r2_hidden A (tptp.k1_relat_1 tptp.f1_s6_ordinal2)) (= (tptp.k1_funct_1 tptp.f1_s6_ordinal2 A) (tptp.f2_s6_ordinal2 A)))))) (and (exists ((A $$unsorted) (B $$unsorted)) (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (tptp.v5_ordinal1 B) (= A (tptp.k1_ordinal2 B)) (= (tptp.k1_relat_1 B) (tptp.k1_ordinal1 tptp.f1_s7_ordinal2)) (= (tptp.k1_funct_1 B tptp.k1_xboole_0) tptp.f2_s7_ordinal2) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k1_ordinal1 C))) (=> (tptp.v3_ordinal1 C) (=> (tptp.r2_hidden _let_1 (tptp.k1_ordinal1 tptp.f1_s7_ordinal2)) (= (tptp.k1_funct_1 B _let_1) (tptp.f3_s7_ordinal2 C (tptp.k1_funct_1 B C))))))) (forall ((C $$unsorted)) (=> (tptp.v3_ordinal1 C) (=> (and (tptp.r2_hidden C (tptp.k1_ordinal1 tptp.f1_s7_ordinal2)) (tptp.v4_ordinal1 C)) (or (= C tptp.k1_xboole_0) (= (tptp.k1_funct_1 B C) (tptp.f4_s7_ordinal2 C (tptp.k2_ordinal1 B C))))))))) (forall ((A $$unsorted) (B $$unsorted)) (not (and (exists ((C $$unsorted)) (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C) (tptp.v5_ordinal1 C) (= A (tptp.k1_ordinal2 C)) (= (tptp.k1_relat_1 C) (tptp.k1_ordinal1 tptp.f1_s7_ordinal2)) (= (tptp.k1_funct_1 C tptp.k1_xboole_0) tptp.f2_s7_ordinal2) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k1_ordinal1 D))) (=> (tptp.v3_ordinal1 D) (=> (tptp.r2_hidden _let_1 (tptp.k1_ordinal1 tptp.f1_s7_ordinal2)) (= (tptp.k1_funct_1 C _let_1) (tptp.f3_s7_ordinal2 D (tptp.k1_funct_1 C D))))))) (forall ((D $$unsorted)) (=> (tptp.v3_ordinal1 D) (=> (and (tptp.r2_hidden D (tptp.k1_ordinal1 tptp.f1_s7_ordinal2)) (tptp.v4_ordinal1 D)) (or (= D tptp.k1_xboole_0) (= (tptp.k1_funct_1 C D) (tptp.f4_s7_ordinal2 D (tptp.k2_ordinal1 C D))))))))) (exists ((C $$unsorted)) (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C) (tptp.v5_ordinal1 C) (= B (tptp.k1_ordinal2 C)) (= (tptp.k1_relat_1 C) (tptp.k1_ordinal1 tptp.f1_s7_ordinal2)) (= (tptp.k1_funct_1 C tptp.k1_xboole_0) tptp.f2_s7_ordinal2) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k1_ordinal1 D))) (=> (tptp.v3_ordinal1 D) (=> (tptp.r2_hidden _let_1 (tptp.k1_ordinal1 tptp.f1_s7_ordinal2)) (= (tptp.k1_funct_1 C _let_1) (tptp.f3_s7_ordinal2 D (tptp.k1_funct_1 C D))))))) (forall ((D $$unsorted)) (=> (tptp.v3_ordinal1 D) (=> (and (tptp.r2_hidden D (tptp.k1_ordinal1 tptp.f1_s7_ordinal2)) (tptp.v4_ordinal1 D)) (or (= D tptp.k1_xboole_0) (= (tptp.k1_funct_1 C D) (tptp.f4_s7_ordinal2 D (tptp.k2_ordinal1 C D))))))))) (not (= A B)))))) (=> (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (forall ((B $$unsorted)) (= (= B (tptp.f1_s8_ordinal2 A)) (exists ((C $$unsorted)) (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C) (tptp.v5_ordinal1 C) (= B (tptp.k1_ordinal2 C)) (= (tptp.k1_relat_1 C) (tptp.k1_ordinal1 A)) (= (tptp.k1_funct_1 C tptp.k1_xboole_0) tptp.f2_s8_ordinal2) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k1_ordinal1 D))) (=> (tptp.v3_ordinal1 D) (=> (tptp.r2_hidden _let_1 (tptp.k1_ordinal1 A)) (= (tptp.k1_funct_1 C _let_1) (tptp.f3_s8_ordinal2 D (tptp.k1_funct_1 C D))))))) (forall ((D $$unsorted)) (=> (tptp.v3_ordinal1 D) (=> (and (tptp.r2_hidden D (tptp.k1_ordinal1 A)) (tptp.v4_ordinal1 D)) (or (= D tptp.k1_xboole_0) (= (tptp.k1_funct_1 C D) (tptp.f4_s8_ordinal2 D (tptp.k2_ordinal1 C D))))))))))))) (= (tptp.f1_s8_ordinal2 tptp.k1_xboole_0) tptp.f2_s8_ordinal2)) (=> (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (forall ((B $$unsorted)) (= (= B (tptp.f4_s9_ordinal2 A)) (exists ((C $$unsorted)) (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C) (tptp.v5_ordinal1 C) (= B (tptp.k1_ordinal2 C)) (= (tptp.k1_relat_1 C) (tptp.k1_ordinal1 A)) (= (tptp.k1_funct_1 C tptp.k1_xboole_0) tptp.f1_s9_ordinal2) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k1_ordinal1 D))) (=> (tptp.v3_ordinal1 D) (=> (tptp.r2_hidden _let_1 (tptp.k1_ordinal1 A)) (= (tptp.k1_funct_1 C _let_1) (tptp.f2_s9_ordinal2 D (tptp.k1_funct_1 C D))))))) (forall ((D $$unsorted)) (=> (tptp.v3_ordinal1 D) (=> (and (tptp.r2_hidden D (tptp.k1_ordinal1 A)) (tptp.v4_ordinal1 D)) (or (= D tptp.k1_xboole_0) (= (tptp.k1_funct_1 C D) (tptp.f3_s9_ordinal2 D (tptp.k2_ordinal1 C D))))))))))))) (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (= (tptp.f4_s9_ordinal2 (tptp.k1_ordinal1 A)) (tptp.f2_s9_ordinal2 A (tptp.f4_s9_ordinal2 A)))))) (=> (and (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (forall ((B $$unsorted)) (= (= B (tptp.f3_s10_ordinal2 A)) (exists ((C $$unsorted)) (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C) (tptp.v5_ordinal1 C) (= B (tptp.k1_ordinal2 C)) (= (tptp.k1_relat_1 C) (tptp.k1_ordinal1 A)) (= (tptp.k1_funct_1 C tptp.k1_xboole_0) tptp.f4_s10_ordinal2) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k1_ordinal1 D))) (=> (tptp.v3_ordinal1 D) (=> (tptp.r2_hidden _let_1 (tptp.k1_ordinal1 A)) (= (tptp.k1_funct_1 C _let_1) (tptp.f5_s10_ordinal2 D (tptp.k1_funct_1 C D))))))) (forall ((D $$unsorted)) (=> (tptp.v3_ordinal1 D) (=> (and (tptp.r2_hidden D (tptp.k1_ordinal1 A)) (tptp.v4_ordinal1 D)) (or (= D tptp.k1_xboole_0) (= (tptp.k1_funct_1 C D) (tptp.f6_s10_ordinal2 D (tptp.k2_ordinal1 C D))))))))))))) (not (= tptp.f2_s10_ordinal2 tptp.k1_xboole_0)) (tptp.v4_ordinal1 tptp.f2_s10_ordinal2) (= (tptp.k1_relat_1 tptp.f1_s10_ordinal2) tptp.f2_s10_ordinal2) (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (=> (tptp.r2_hidden A tptp.f2_s10_ordinal2) (= (tptp.k1_funct_1 tptp.f1_s10_ordinal2 A) (tptp.f3_s10_ordinal2 A)))))) (= (tptp.f3_s10_ordinal2 tptp.f2_s10_ordinal2) (tptp.f6_s10_ordinal2 tptp.f2_s10_ordinal2 tptp.f1_s10_ordinal2))) (exists ((A $$unsorted)) (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v5_ordinal1 A) (tptp.v1_ordinal2 A) (= (tptp.k1_relat_1 A) tptp.f1_s11_ordinal2) (=> (tptp.r2_hidden tptp.k1_xboole_0 tptp.f1_s11_ordinal2) (= (tptp.k1_funct_1 A tptp.k1_xboole_0) tptp.f2_s11_ordinal2)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k1_ordinal1 B))) (=> (tptp.v3_ordinal1 B) (=> (tptp.r2_hidden _let_1 tptp.f1_s11_ordinal2) (= (tptp.k1_funct_1 A _let_1) (tptp.f3_s11_ordinal2 B (tptp.k1_funct_1 A B))))))) (forall ((B $$unsorted)) (=> (tptp.v3_ordinal1 B) (=> (and (tptp.r2_hidden B tptp.f1_s11_ordinal2) (tptp.v4_ordinal1 B)) (or (= B tptp.k1_xboole_0) (= (tptp.k1_funct_1 A B) (tptp.f4_s11_ordinal2 B (tptp.k2_ordinal1 A B))))))))) (=> (and (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (forall ((B $$unsorted)) (=> (tptp.v3_ordinal1 B) (= (= B (tptp.f2_s12_ordinal2 A)) (exists ((C $$unsorted)) (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C) (tptp.v5_ordinal1 C) (tptp.v1_ordinal2 C) (= B (tptp.k1_ordinal2 C)) (= (tptp.k1_relat_1 C) (tptp.k1_ordinal1 A)) (= (tptp.k1_funct_1 C tptp.k1_xboole_0) tptp.f4_s12_ordinal2) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k1_ordinal1 D))) (=> (tptp.v3_ordinal1 D) (=> (tptp.r2_hidden _let_1 (tptp.k1_ordinal1 A)) (= (tptp.k1_funct_1 C _let_1) (tptp.f5_s12_ordinal2 D (tptp.k1_funct_1 C D))))))) (forall ((D $$unsorted)) (=> (tptp.v3_ordinal1 D) (=> (and (tptp.r2_hidden D (tptp.k1_ordinal1 A)) (tptp.v4_ordinal1 D)) (or (= D tptp.k1_xboole_0) (= (tptp.k1_funct_1 C D) (tptp.f6_s12_ordinal2 D (tptp.k2_ordinal1 C D)))))))))))))) (= (tptp.k1_relat_1 tptp.f1_s12_ordinal2) tptp.f3_s12_ordinal2) (=> (tptp.r2_hidden tptp.k1_xboole_0 tptp.f3_s12_ordinal2) (= (tptp.k1_funct_1 tptp.f1_s12_ordinal2 tptp.k1_xboole_0) tptp.f4_s12_ordinal2)) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k1_ordinal1 A))) (=> (tptp.v3_ordinal1 A) (=> (tptp.r2_hidden _let_1 tptp.f3_s12_ordinal2) (= (tptp.k1_funct_1 tptp.f1_s12_ordinal2 _let_1) (tptp.f5_s12_ordinal2 A (tptp.k1_funct_1 tptp.f1_s12_ordinal2 A))))))) (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (=> (and (tptp.r2_hidden A tptp.f3_s12_ordinal2) (tptp.v4_ordinal1 A)) (or (= A tptp.k1_xboole_0) (= (tptp.k1_funct_1 tptp.f1_s12_ordinal2 A) (tptp.f6_s12_ordinal2 A (tptp.k2_ordinal1 tptp.f1_s12_ordinal2 A)))))))) (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (=> (tptp.r2_hidden A (tptp.k1_relat_1 tptp.f1_s12_ordinal2)) (= (tptp.k1_funct_1 tptp.f1_s12_ordinal2 A) (tptp.f2_s12_ordinal2 A)))))) (and (exists ((A $$unsorted)) (and (tptp.v3_ordinal1 A) (exists ((B $$unsorted)) (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (tptp.v5_ordinal1 B) (tptp.v1_ordinal2 B) (= A (tptp.k1_ordinal2 B)) (= (tptp.k1_relat_1 B) (tptp.k1_ordinal1 tptp.f1_s13_ordinal2)) (= (tptp.k1_funct_1 B tptp.k1_xboole_0) tptp.f2_s13_ordinal2) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k1_ordinal1 C))) (=> (tptp.v3_ordinal1 C) (=> (tptp.r2_hidden _let_1 (tptp.k1_ordinal1 tptp.f1_s13_ordinal2)) (= (tptp.k1_funct_1 B _let_1) (tptp.f3_s13_ordinal2 C (tptp.k1_funct_1 B C))))))) (forall ((C $$unsorted)) (=> (tptp.v3_ordinal1 C) (=> (and (tptp.r2_hidden C (tptp.k1_ordinal1 tptp.f1_s13_ordinal2)) (tptp.v4_ordinal1 C)) (or (= C tptp.k1_xboole_0) (= (tptp.k1_funct_1 B C) (tptp.f4_s13_ordinal2 C (tptp.k2_ordinal1 B C))))))))))) (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (forall ((B $$unsorted)) (=> (tptp.v3_ordinal1 B) (not (and (exists ((C $$unsorted)) (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C) (tptp.v5_ordinal1 C) (tptp.v1_ordinal2 C) (= A (tptp.k1_ordinal2 C)) (= (tptp.k1_relat_1 C) (tptp.k1_ordinal1 tptp.f1_s13_ordinal2)) (= (tptp.k1_funct_1 C tptp.k1_xboole_0) tptp.f2_s13_ordinal2) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k1_ordinal1 D))) (=> (tptp.v3_ordinal1 D) (=> (tptp.r2_hidden _let_1 (tptp.k1_ordinal1 tptp.f1_s13_ordinal2)) (= (tptp.k1_funct_1 C _let_1) (tptp.f3_s13_ordinal2 D (tptp.k1_funct_1 C D))))))) (forall ((D $$unsorted)) (=> (tptp.v3_ordinal1 D) (=> (and (tptp.r2_hidden D (tptp.k1_ordinal1 tptp.f1_s13_ordinal2)) (tptp.v4_ordinal1 D)) (or (= D tptp.k1_xboole_0) (= (tptp.k1_funct_1 C D) (tptp.f4_s13_ordinal2 D (tptp.k2_ordinal1 C D))))))))) (exists ((C $$unsorted)) (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C) (tptp.v5_ordinal1 C) (tptp.v1_ordinal2 C) (= B (tptp.k1_ordinal2 C)) (= (tptp.k1_relat_1 C) (tptp.k1_ordinal1 tptp.f1_s13_ordinal2)) (= (tptp.k1_funct_1 C tptp.k1_xboole_0) tptp.f2_s13_ordinal2) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k1_ordinal1 D))) (=> (tptp.v3_ordinal1 D) (=> (tptp.r2_hidden _let_1 (tptp.k1_ordinal1 tptp.f1_s13_ordinal2)) (= (tptp.k1_funct_1 C _let_1) (tptp.f3_s13_ordinal2 D (tptp.k1_funct_1 C D))))))) (forall ((D $$unsorted)) (=> (tptp.v3_ordinal1 D) (=> (and (tptp.r2_hidden D (tptp.k1_ordinal1 tptp.f1_s13_ordinal2)) (tptp.v4_ordinal1 D)) (or (= D tptp.k1_xboole_0) (= (tptp.k1_funct_1 C D) (tptp.f4_s13_ordinal2 D (tptp.k2_ordinal1 C D))))))))) (not (= A B))))))))) (=> (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (forall ((B $$unsorted)) (=> (tptp.v3_ordinal1 B) (= (= B (tptp.f1_s14_ordinal2 A)) (exists ((C $$unsorted)) (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C) (tptp.v5_ordinal1 C) (tptp.v1_ordinal2 C) (= B (tptp.k1_ordinal2 C)) (= (tptp.k1_relat_1 C) (tptp.k1_ordinal1 A)) (= (tptp.k1_funct_1 C tptp.k1_xboole_0) tptp.f2_s14_ordinal2) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k1_ordinal1 D))) (=> (tptp.v3_ordinal1 D) (=> (tptp.r2_hidden _let_1 (tptp.k1_ordinal1 A)) (= (tptp.k1_funct_1 C _let_1) (tptp.f3_s14_ordinal2 D (tptp.k1_funct_1 C D))))))) (forall ((D $$unsorted)) (=> (tptp.v3_ordinal1 D) (=> (and (tptp.r2_hidden D (tptp.k1_ordinal1 A)) (tptp.v4_ordinal1 D)) (or (= D tptp.k1_xboole_0) (= (tptp.k1_funct_1 C D) (tptp.f4_s14_ordinal2 D (tptp.k2_ordinal1 C D)))))))))))))) (= (tptp.f1_s14_ordinal2 tptp.k1_xboole_0) tptp.f2_s14_ordinal2)) (=> (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (forall ((B $$unsorted)) (=> (tptp.v3_ordinal1 B) (= (= B (tptp.f4_s15_ordinal2 A)) (exists ((C $$unsorted)) (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C) (tptp.v5_ordinal1 C) (tptp.v1_ordinal2 C) (= B (tptp.k1_ordinal2 C)) (= (tptp.k1_relat_1 C) (tptp.k1_ordinal1 A)) (= (tptp.k1_funct_1 C tptp.k1_xboole_0) tptp.f1_s15_ordinal2) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k1_ordinal1 D))) (=> (tptp.v3_ordinal1 D) (=> (tptp.r2_hidden _let_1 (tptp.k1_ordinal1 A)) (= (tptp.k1_funct_1 C _let_1) (tptp.f2_s15_ordinal2 D (tptp.k1_funct_1 C D))))))) (forall ((D $$unsorted)) (=> (tptp.v3_ordinal1 D) (=> (and (tptp.r2_hidden D (tptp.k1_ordinal1 A)) (tptp.v4_ordinal1 D)) (or (= D tptp.k1_xboole_0) (= (tptp.k1_funct_1 C D) (tptp.f3_s15_ordinal2 D (tptp.k2_ordinal1 C D)))))))))))))) (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (= (tptp.f4_s15_ordinal2 (tptp.k1_ordinal1 A)) (tptp.f2_s15_ordinal2 A (tptp.f4_s15_ordinal2 A)))))) (=> (and (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (forall ((B $$unsorted)) (=> (tptp.v3_ordinal1 B) (= (= B (tptp.f3_s16_ordinal2 A)) (exists ((C $$unsorted)) (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C) (tptp.v5_ordinal1 C) (tptp.v1_ordinal2 C) (= B (tptp.k1_ordinal2 C)) (= (tptp.k1_relat_1 C) (tptp.k1_ordinal1 A)) (= (tptp.k1_funct_1 C tptp.k1_xboole_0) tptp.f4_s16_ordinal2) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k1_ordinal1 D))) (=> (tptp.v3_ordinal1 D) (=> (tptp.r2_hidden _let_1 (tptp.k1_ordinal1 A)) (= (tptp.k1_funct_1 C _let_1) (tptp.f5_s16_ordinal2 D (tptp.k1_funct_1 C D))))))) (forall ((D $$unsorted)) (=> (tptp.v3_ordinal1 D) (=> (and (tptp.r2_hidden D (tptp.k1_ordinal1 A)) (tptp.v4_ordinal1 D)) (or (= D tptp.k1_xboole_0) (= (tptp.k1_funct_1 C D) (tptp.f6_s16_ordinal2 D (tptp.k2_ordinal1 C D)))))))))))))) (not (= tptp.f2_s16_ordinal2 tptp.k1_xboole_0)) (tptp.v4_ordinal1 tptp.f2_s16_ordinal2) (= (tptp.k1_relat_1 tptp.f1_s16_ordinal2) tptp.f2_s16_ordinal2) (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (=> (tptp.r2_hidden A tptp.f2_s16_ordinal2) (= (tptp.k1_funct_1 tptp.f1_s16_ordinal2 A) (tptp.f3_s16_ordinal2 A)))))) (= (tptp.f3_s16_ordinal2 tptp.f2_s16_ordinal2) (tptp.f6_s16_ordinal2 tptp.f2_s16_ordinal2 tptp.f1_s16_ordinal2))) true true true (and (tptp.v3_ordinal1 tptp.k4_ordinal2) (not (tptp.v1_xboole_0 tptp.k4_ordinal2))) true (forall ((A $$unsorted)) (tptp.v3_ordinal1 (tptp.k6_ordinal2 A))) (forall ((A $$unsorted)) (tptp.v3_ordinal1 (tptp.k7_ordinal2 A))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v5_ordinal1 A)) (tptp.v3_ordinal1 (tptp.k8_ordinal2 A)))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v5_ordinal1 A)) (tptp.v3_ordinal1 (tptp.k9_ordinal2 A)))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v5_ordinal1 A)) (tptp.v3_ordinal1 (tptp.k10_ordinal2 A)))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v5_ordinal1 A)) (tptp.v3_ordinal1 (tptp.k11_ordinal2 A)))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v5_ordinal1 A) (tptp.v1_ordinal2 A)) (tptp.v3_ordinal1 (tptp.k12_ordinal2 A)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v3_ordinal1 A) (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (tptp.v5_ordinal1 B) (tptp.v1_ordinal2 B)) (tptp.v3_ordinal1 (tptp.k13_ordinal2 A B)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v3_ordinal1 A) (tptp.v3_ordinal1 B)) (tptp.v3_ordinal1 (tptp.k14_ordinal2 A B)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v3_ordinal1 A) (tptp.v3_ordinal1 B)) (tptp.v3_ordinal1 (tptp.k15_ordinal2 A B)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v3_ordinal1 A) (tptp.v3_ordinal1 B)) (tptp.v3_ordinal1 (tptp.k16_ordinal2 A B)))) (exists ((A $$unsorted)) (and (not (tptp.v1_xboole_0 A)) (tptp.v1_finset_1 A))) (forall ((A $$unsorted)) (=> (tptp.v1_xboole_0 A) (tptp.v1_finset_1 A))) (forall ((A $$unsorted)) (exists ((B $$unsorted)) (and (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (tptp.v1_xboole_0 B) (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (tptp.v2_funct_1 B) (tptp.v1_ordinal1 B) (tptp.v2_ordinal1 B) (tptp.v3_ordinal1 B) (tptp.v4_ordinal2 B) (tptp.v1_finset_1 B)))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k1_tarski A))) (and (not (tptp.v1_xboole_0 _let_1)) (tptp.v1_finset_1 _let_1)))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (exists ((B $$unsorted)) (and (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (not (tptp.v1_xboole_0 B)) (tptp.v1_finset_1 B))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k2_tarski A B))) (and (not (tptp.v1_xboole_0 _let_1)) (tptp.v1_finset_1 _let_1)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (tptp.v1_finset_1 (tptp.k1_enumset1 A B C))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (tptp.v1_finset_1 (tptp.k2_enumset1 A B C D))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (tptp.v1_finset_1 (tptp.k3_enumset1 A B C D E))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted)) (tptp.v1_finset_1 (tptp.k4_enumset1 A B C D E F))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted) (G $$unsorted)) (tptp.v1_finset_1 (tptp.k5_enumset1 A B C D E F G))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted) (G $$unsorted) (H $$unsorted)) (tptp.v1_finset_1 (tptp.k6_enumset1 A B C D E F G H))) (forall ((A $$unsorted)) (=> (tptp.v1_finset_1 A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (tptp.v1_finset_1 B))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_finset_1 A) (tptp.v1_finset_1 B)) (tptp.v1_finset_1 (tptp.k2_xboole_0 A B)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.v1_finset_1 B) (tptp.v1_finset_1 (tptp.k3_xboole_0 A B)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.v1_finset_1 A) (tptp.v1_finset_1 (tptp.k3_xboole_0 A B)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.v1_finset_1 A) (tptp.v1_finset_1 (tptp.k4_xboole_0 A B)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_finset_1 B)) (tptp.v1_finset_1 (tptp.k9_relat_1 A B)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_finset_1 A) (tptp.v1_finset_1 B)) (tptp.v1_finset_1 (tptp.k2_zfmisc_1 A B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_finset_1 A) (tptp.v1_finset_1 B) (tptp.v1_finset_1 C)) (tptp.v1_finset_1 (tptp.k3_zfmisc_1 A B C)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.v1_finset_1 A) (tptp.v1_finset_1 B) (tptp.v1_finset_1 C) (tptp.v1_finset_1 D)) (tptp.v1_finset_1 (tptp.k4_zfmisc_1 A B C D)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_finset_1 A) (tptp.v1_finset_1 B)) (tptp.v1_finset_1 (tptp.k5_xboole_0 A B)))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (exists ((B $$unsorted)) (and (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (not (tptp.v1_xboole_0 B)) (tptp.v1_finset_1 B))))) (forall ((A $$unsorted)) (= (tptp.v1_finset_1 A) (exists ((B $$unsorted)) (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (= (tptp.k2_relat_1 B) A) (tptp.r2_hidden (tptp.k1_relat_1 B) tptp.k5_ordinal2))))) true true true true true true true true true true true true (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.r1_tarski A B) (tptp.v1_finset_1 B)) (tptp.v1_finset_1 A))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_finset_1 A) (tptp.v1_finset_1 B)) (tptp.v1_finset_1 (tptp.k2_xboole_0 A B)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.v1_finset_1 A) (tptp.v1_finset_1 (tptp.k3_xboole_0 A B)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.v1_finset_1 A) (tptp.v1_finset_1 (tptp.k4_xboole_0 A B)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (=> (tptp.v1_finset_1 A) (tptp.v1_finset_1 (tptp.k9_relat_1 B A))))) (forall ((A $$unsorted)) (=> (tptp.v1_finset_1 A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 A))) (not (and (not (= B tptp.k1_xboole_0)) (forall ((C $$unsorted)) (not (and (tptp.r2_hidden C B) (forall ((D $$unsorted)) (=> (and (tptp.r2_hidden D B) (tptp.r1_tarski C D)) (= D C)))))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_finset_1 A) (tptp.v1_finset_1 B)) (tptp.v1_finset_1 (tptp.k2_zfmisc_1 A B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_finset_1 A) (tptp.v1_finset_1 B) (tptp.v1_finset_1 C)) (tptp.v1_finset_1 (tptp.k3_zfmisc_1 A B C)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.v1_finset_1 A) (tptp.v1_finset_1 B) (tptp.v1_finset_1 C) (tptp.v1_finset_1 D)) (tptp.v1_finset_1 (tptp.k4_zfmisc_1 A B C D)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.v1_finset_1 (tptp.k2_zfmisc_1 B A)) (or (= A tptp.k1_xboole_0) (tptp.v1_finset_1 B)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.v1_finset_1 (tptp.k2_zfmisc_1 A B)) (or (= A tptp.k1_xboole_0) (tptp.v1_finset_1 B)))) (forall ((A $$unsorted)) (= (tptp.v1_finset_1 A) (tptp.v1_finset_1 (tptp.k1_zfmisc_1 A)))) (forall ((A $$unsorted)) (= (and (tptp.v1_finset_1 A) (forall ((B $$unsorted)) (=> (tptp.r2_hidden B A) (tptp.v1_finset_1 B)))) (tptp.v1_finset_1 (tptp.k3_tarski A)))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (=> (tptp.v1_finset_1 (tptp.k1_relat_1 A)) (tptp.v1_finset_1 (tptp.k2_relat_1 A))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (=> (and (tptp.r1_tarski A (tptp.k2_relat_1 B)) (tptp.v1_finset_1 (tptp.k10_relat_1 B A))) (tptp.v1_finset_1 A)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_finset_1 A) (tptp.v1_finset_1 B)) (tptp.v1_finset_1 (tptp.k5_xboole_0 A B)))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (= (tptp.v1_finset_1 (tptp.k1_relat_1 A)) (tptp.v1_finset_1 A)))) (forall ((A $$unsorted)) (not (and (tptp.v1_finset_1 A) (not (= A tptp.k1_xboole_0)) (tptp.v6_ordinal1 A) (forall ((B $$unsorted)) (not (and (tptp.r2_hidden B A) (forall ((C $$unsorted)) (=> (tptp.r2_hidden C A) (tptp.r1_tarski B C))))))))) (forall ((A $$unsorted)) (not (and (tptp.v1_finset_1 A) (not (= A tptp.k1_xboole_0)) (tptp.v6_ordinal1 A) (forall ((B $$unsorted)) (not (and (tptp.r2_hidden B A) (forall ((C $$unsorted)) (=> (tptp.r2_hidden C A) (tptp.r1_tarski C B))))))))) (exists ((A $$unsorted)) (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (= (tptp.k1_relat_1 A) tptp.f1_s1_finset_1) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k1_funct_1 A B))) (let ((_let_2 (tptp.p1_s1_finset_1 B))) (=> (tptp.v3_ordinal1 B) (=> (tptp.r2_hidden B tptp.f1_s1_finset_1) (and (=> _let_2 (= _let_1 (tptp.f2_s1_finset_1 B))) (=> (not _let_2) (= _let_1 (tptp.f3_s1_finset_1 B))))))))))) (=> (and (tptp.v1_finset_1 tptp.f1_s2_finset_1) (tptp.p1_s2_finset_1 tptp.k1_xboole_0) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.r2_hidden A tptp.f1_s2_finset_1) (tptp.r1_tarski B tptp.f1_s2_finset_1) (tptp.p1_s2_finset_1 B)) (tptp.p1_s2_finset_1 (tptp.k2_xboole_0 B (tptp.k1_tarski A)))))) (tptp.p1_s2_finset_1 tptp.f1_s2_finset_1)) (forall ((A $$unsorted)) (=> (tptp.v4_finsub_1 A) (and (tptp.v1_finsub_1 A) (tptp.v3_finsub_1 A)))) (forall ((A $$unsorted)) (=> (and (tptp.v1_finsub_1 A) (tptp.v3_finsub_1 A)) (tptp.v4_finsub_1 A))) (exists ((A $$unsorted)) (and (not (tptp.v1_xboole_0 A)) (tptp.v1_finsub_1 A) (tptp.v2_finsub_1 A) (tptp.v3_finsub_1 A) (tptp.v4_finsub_1 A))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 A))) (and (not (tptp.v1_xboole_0 _let_1)) (tptp.v1_finsub_1 _let_1) (tptp.v3_finsub_1 _let_1) (tptp.v4_finsub_1 _let_1)))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k5_finsub_1 A))) (and (not (tptp.v1_xboole_0 _let_1)) (tptp.v1_finsub_1 _let_1) (tptp.v3_finsub_1 _let_1) (tptp.v4_finsub_1 _let_1)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k5_finsub_1 A)) (tptp.v1_finset_1 B))) (forall ((A $$unsorted)) (= (tptp.v1_finsub_1 A) (forall ((B $$unsorted) (C $$unsorted)) (=> (and (tptp.r2_hidden B A) (tptp.r2_hidden C A)) (tptp.r2_hidden (tptp.k2_xboole_0 B C) A))))) (forall ((A $$unsorted)) (= (tptp.v2_finsub_1 A) (forall ((B $$unsorted) (C $$unsorted)) (=> (and (tptp.r2_hidden B A) (tptp.r2_hidden C A)) (tptp.r2_hidden (tptp.k3_xboole_0 B C) A))))) (forall ((A $$unsorted)) (= (tptp.v3_finsub_1 A) (forall ((B $$unsorted) (C $$unsorted)) (=> (and (tptp.r2_hidden B A) (tptp.r2_hidden C A)) (tptp.r2_hidden (tptp.k4_xboole_0 B C) A))))) (forall ((A $$unsorted)) (= (tptp.v4_finsub_1 A) (and (tptp.v1_finsub_1 A) (tptp.v3_finsub_1 A)))) true true true true true true true true true (forall ((A $$unsorted)) (= (tptp.v4_finsub_1 A) (forall ((B $$unsorted) (C $$unsorted)) (=> (and (tptp.r2_hidden B A) (tptp.r2_hidden C A)) (and (tptp.r2_hidden (tptp.k2_xboole_0 B C) A) (tptp.r2_hidden (tptp.k4_xboole_0 B C) A)))))) true true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v1_xboole_0 C)) (tptp.v4_finsub_1 C)) (=> (and (tptp.m1_subset_1 A C) (tptp.m1_subset_1 B C)) (tptp.m1_subset_1 (tptp.k3_xboole_0 A B) C)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v1_xboole_0 C)) (tptp.v4_finsub_1 C)) (=> (and (tptp.m1_subset_1 A C) (tptp.m1_subset_1 B C)) (tptp.m1_subset_1 (tptp.k5_xboole_0 A B) C)))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (=> (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C A) (and (tptp.r2_hidden (tptp.k5_xboole_0 B C) A) (tptp.r2_hidden (tptp.k4_xboole_0 B C) A)))))) (tptp.v4_finsub_1 A)))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (=> (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C A) (and (tptp.r2_hidden (tptp.k5_xboole_0 B C) A) (tptp.r2_hidden (tptp.k3_xboole_0 B C) A)))))) (tptp.v4_finsub_1 A)))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (=> (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C A) (and (tptp.r2_hidden (tptp.k5_xboole_0 B C) A) (tptp.r2_hidden (tptp.k2_xboole_0 B C) A)))))) (tptp.v4_finsub_1 A)))) (forall ((A $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v4_finsub_1 A)) (tptp.r2_hidden tptp.k1_xboole_0 A))) true (forall ((A $$unsorted)) (tptp.v4_finsub_1 (tptp.k1_zfmisc_1 A))) (forall ((A $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v4_finsub_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k3_xboole_0 A B))) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.v4_finsub_1 B)) (and (not (tptp.v1_xboole_0 _let_1)) (tptp.v4_finsub_1 _let_1))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.v4_finsub_1 B) (= (= B (tptp.k5_finsub_1 A)) (forall ((C $$unsorted)) (= (tptp.r2_hidden C B) (and (tptp.r1_tarski C A) (tptp.v1_finset_1 C))))))) true (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.r1_tarski A B) (tptp.r1_tarski (tptp.k5_finsub_1 A) (tptp.k5_finsub_1 B)))) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.k5_finsub_1 (tptp.k3_xboole_0 A B)) (tptp.k3_xboole_0 (tptp.k5_finsub_1 A) (tptp.k5_finsub_1 B)))) (forall ((A $$unsorted) (B $$unsorted)) (tptp.r1_tarski (tptp.k2_xboole_0 (tptp.k5_finsub_1 A) (tptp.k5_finsub_1 B)) (tptp.k5_finsub_1 (tptp.k2_xboole_0 A B)))) (forall ((A $$unsorted)) (tptp.r1_tarski (tptp.k5_finsub_1 A) (tptp.k1_zfmisc_1 A))) (forall ((A $$unsorted)) (=> (tptp.v1_finset_1 A) (= (tptp.k5_finsub_1 A) (tptp.k1_zfmisc_1 A)))) (= (tptp.k5_finsub_1 tptp.k1_xboole_0) _let_23) true (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k5_finsub_1 A)) (tptp.v1_finset_1 B))) true (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k5_finsub_1 A)) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)))) true (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (=> (tptp.v1_finset_1 A) (tptp.m1_subset_1 B (tptp.k5_finsub_1 A))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v4_finsub_1 A) (tptp.m1_subset_1 B A) (tptp.m1_subset_1 C A)) (tptp.m1_subset_1 (tptp.k1_finsub_1 A B C) A))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v4_finsub_1 A) (tptp.m1_subset_1 B A) (tptp.m1_subset_1 C A)) (= (tptp.k1_finsub_1 A B C) (tptp.k1_finsub_1 A C B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v4_finsub_1 A) (tptp.m1_subset_1 B A) (tptp.m1_subset_1 C A)) (= (tptp.k1_finsub_1 A B B) B))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v4_finsub_1 A) (tptp.m1_subset_1 B A) (tptp.m1_subset_1 C A)) (= (tptp.k1_finsub_1 A B C) (tptp.k2_xboole_0 B C)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v4_finsub_1 A) (tptp.m1_subset_1 B A) (tptp.m1_subset_1 C A)) (tptp.m1_subset_1 (tptp.k2_finsub_1 A B C) A))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v4_finsub_1 A) (tptp.m1_subset_1 B A) (tptp.m1_subset_1 C A)) (= (tptp.k2_finsub_1 A B C) (tptp.k4_xboole_0 B C)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v4_finsub_1 A) (tptp.m1_subset_1 B A) (tptp.m1_subset_1 C A)) (tptp.m1_subset_1 (tptp.k3_finsub_1 A B C) A))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v4_finsub_1 A) (tptp.m1_subset_1 B A) (tptp.m1_subset_1 C A)) (= (tptp.k3_finsub_1 A B C) (tptp.k3_finsub_1 A C B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v4_finsub_1 A) (tptp.m1_subset_1 B A) (tptp.m1_subset_1 C A)) (= (tptp.k3_finsub_1 A B B) B))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v4_finsub_1 A) (tptp.m1_subset_1 B A) (tptp.m1_subset_1 C A)) (= (tptp.k3_finsub_1 A B C) (tptp.k3_xboole_0 B C)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v4_finsub_1 A) (tptp.m1_subset_1 B A) (tptp.m1_subset_1 C A)) (tptp.m1_subset_1 (tptp.k4_finsub_1 A B C) A))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v4_finsub_1 A) (tptp.m1_subset_1 B A) (tptp.m1_subset_1 C A)) (= (tptp.k4_finsub_1 A B C) (tptp.k4_finsub_1 A C B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v4_finsub_1 A) (tptp.m1_subset_1 B A) (tptp.m1_subset_1 C A)) (= (tptp.k4_finsub_1 A B C) (tptp.k5_xboole_0 B C)))) (forall ((A $$unsorted)) (tptp.v4_finsub_1 (tptp.k5_finsub_1 A))) (exists ((A $$unsorted)) (and (not (tptp.v1_xboole_0 A)) (tptp.v1_fraenkel A))) (forall ((A $$unsorted)) (=> (tptp.v1_fraenkel A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B A) (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)))))) (forall ((A $$unsorted) (B $$unsorted)) (tptp.v1_fraenkel (tptp.k1_funct_2 A B))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k1_funct_2 A B))) (=> (and (tptp.v1_finset_1 A) (tptp.v1_finset_1 B)) (and (tptp.v1_finset_1 _let_1) (tptp.v1_fraenkel _let_1))))) true true (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C A B) (tptp.m2_relset_1 C A B)) (forall ((D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D A B) (tptp.m2_relset_1 D A B)) (forall ((E $$unsorted)) (=> (= (tptp.k7_relat_1 C E) (tptp.k7_relat_1 D E)) (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F A) (=> (tptp.r2_hidden F E) (= (tptp.k8_funct_2 A B C F) (tptp.k8_funct_2 A B D F))))))))))))))) true (forall ((A $$unsorted) (B $$unsorted)) (tptp.r1_tarski (tptp.k1_funct_2 A B) (tptp.k1_zfmisc_1 (tptp.k2_zfmisc_1 A B)))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.r1_tarski C B) (tptp.r1_tarski D A)) (or (= (tptp.k1_funct_2 C D) tptp.k1_xboole_0) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.k1_funct_2 C D)) (and (tptp.v1_funct_1 E) (tptp.m2_relset_1 E B A))))))))) (forall ((A $$unsorted)) (= (tptp.v1_fraenkel A) (forall ((B $$unsorted)) (=> (tptp.r2_hidden B A) (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)))))) true (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (tptp.v1_fraenkel (tptp.k1_tarski A)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v1_xboole_0 C)) (tptp.v1_fraenkel C)) (= (tptp.m1_fraenkel C A B) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D C) (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D A B) (tptp.m2_relset_1 D A B))))))) true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C A B) (tptp.m2_relset_1 C A B)) (tptp.m1_fraenkel (tptp.k2_setwiseo (tptp.k1_zfmisc_1 (tptp.k2_zfmisc_1 A B)) C) A B))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (tptp.m1_fraenkel (tptp.k1_funct_2 B A) B A)))) true true (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.r1_tarski C B) (tptp.r1_tarski D A)) (or (= (tptp.k1_funct_2 C D) tptp.k1_xboole_0) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.k1_funct_2 C D)) (exists ((F $$unsorted)) (and (tptp.m2_fraenkel F B A (tptp.k1_fraenkel B A)) (= (tptp.k7_relat_1 F C) E)))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (tptp.m2_fraenkel D B A (tptp.k1_fraenkel B A)) (= (tptp.k7_relat_1 D C) (tptp.k7_relat_1 D (tptp.k3_xboole_0 B C))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_finset_1 A) (tptp.v1_finset_1 B)) (tptp.v1_finset_1 (tptp.k1_funct_2 A B)))) (forall ((A $$unsorted)) (=> (tptp.v1_fraenkel A) (forall ((B $$unsorted)) (=> (tptp.r1_tarski B A) (tptp.v1_fraenkel B))))) (=> (and (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.f1_s23_fraenkel) (tptp.p1_s23_fraenkel A A))) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.f1_s23_fraenkel) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.f1_s23_fraenkel) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C tptp.f1_s23_fraenkel) (=> (and (tptp.p1_s23_fraenkel A B) (tptp.p1_s23_fraenkel B C)) (tptp.p1_s23_fraenkel A C))))))))) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.f1_s23_fraenkel) (not (and (tptp.r2_hidden A tptp.f2_s23_fraenkel) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.f1_s23_fraenkel) (not (and (tptp.r2_hidden B tptp.f2_s23_fraenkel) (tptp.p1_s23_fraenkel B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C tptp.f1_s23_fraenkel) (=> (and (tptp.r2_hidden C tptp.f2_s23_fraenkel) (tptp.p1_s23_fraenkel C B)) (tptp.p1_s23_fraenkel B C))))))))))))) (exists ((A $$unsorted)) (and (tptp.m1_subset_1 A (tptp.k5_finsub_1 tptp.f1_s24_fraenkel)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.f1_s24_fraenkel) (= (tptp.r2_hidden B A) (exists ((C $$unsorted)) (and (tptp.m1_subset_1 C tptp.f2_s24_fraenkel) (tptp.r2_hidden C tptp.f3_s24_fraenkel) (= B (tptp.f4_s24_fraenkel C)) (tptp.p1_s24_fraenkel B C)))))))) (=> (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.f1_s26_fraenkel) (not (and (tptp.r2_hidden A tptp.f3_s26_fraenkel) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.f2_s26_fraenkel) (not (tptp.p1_s26_fraenkel A B)))))))) (exists ((A $$unsorted)) (and (tptp.v1_funct_1 A) (tptp.v1_funct_2 A tptp.f1_s26_fraenkel tptp.f2_s26_fraenkel) (tptp.m2_relset_1 A tptp.f1_s26_fraenkel tptp.f2_s26_fraenkel) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.f1_s26_fraenkel) (=> (tptp.r2_hidden B tptp.f3_s26_fraenkel) (tptp.p1_s26_fraenkel B (tptp.k8_funct_2 tptp.f1_s26_fraenkel tptp.f2_s26_fraenkel A B)))))))) (=> (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.f1_s27_fraenkel) (not (and (tptp.r2_hidden A tptp.f3_s27_fraenkel) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.f2_s27_fraenkel) (not (tptp.p1_s27_fraenkel A B)))))))) (exists ((A $$unsorted)) (and (tptp.m2_fraenkel A tptp.f1_s27_fraenkel tptp.f2_s27_fraenkel (tptp.k1_fraenkel tptp.f1_s27_fraenkel tptp.f2_s27_fraenkel)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.f1_s27_fraenkel) (=> (tptp.r2_hidden B tptp.f3_s27_fraenkel) (tptp.p1_s27_fraenkel B (tptp.k8_funct_2 tptp.f1_s27_fraenkel tptp.f2_s27_fraenkel A B)))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.m1_fraenkel C A B) (and (not (tptp.v1_xboole_0 C)) (tptp.v1_fraenkel C)))) (forall ((A $$unsorted) (B $$unsorted)) (exists ((C $$unsorted)) (tptp.m1_fraenkel C A B))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.m1_fraenkel C A B)) (forall ((D $$unsorted)) (=> (tptp.m2_fraenkel D A B C) (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D A B) (tptp.m2_relset_1 D A B)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.m1_fraenkel C A B)) (exists ((D $$unsorted)) (tptp.m2_fraenkel D A B C)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.m1_fraenkel C A B)) (forall ((D $$unsorted)) (= (tptp.m2_fraenkel D A B C) (tptp.m1_subset_1 D C))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (tptp.m1_fraenkel (tptp.k1_fraenkel A B) A B))) (forall ((A $$unsorted) (B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (= (tptp.k1_fraenkel A B) (tptp.k1_funct_2 A B)))) (=> (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.f1_s1_fraenkel) (=> (tptp.p1_s1_fraenkel A) (tptp.p2_s1_fraenkel A)))) (tptp.r1_tarski tptp.a_0_0_fraenkel tptp.a_0_1_fraenkel)) (=> (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.f1_s2_fraenkel) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.f2_s2_fraenkel) (=> (tptp.p1_s2_fraenkel A B) (tptp.p2_s2_fraenkel A B)))))) (tptp.r1_tarski tptp.a_0_2_fraenkel tptp.a_0_3_fraenkel)) (=> (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.f1_s3_fraenkel) (= (tptp.p1_s3_fraenkel A) (tptp.p2_s3_fraenkel A)))) (= tptp.a_0_4_fraenkel tptp.a_0_5_fraenkel)) (=> (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.f1_s4_fraenkel) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.f2_s4_fraenkel) (= (tptp.p1_s4_fraenkel A B) (tptp.p2_s4_fraenkel A B)))))) (= tptp.a_0_6_fraenkel tptp.a_0_7_fraenkel)) (=> (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.f1_s5_fraenkel) (= (tptp.f2_s5_fraenkel A) (tptp.f3_s5_fraenkel A)))) (= tptp.a_0_8_fraenkel tptp.a_0_9_fraenkel)) (=> (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.f1_s6_fraenkel) (=> (tptp.p1_s6_fraenkel A) (= (tptp.f2_s6_fraenkel A) (tptp.f3_s6_fraenkel A))))) (= tptp.a_0_10_fraenkel tptp.a_0_11_fraenkel)) (=> (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.f1_s7_fraenkel) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.f2_s7_fraenkel) (= (tptp.f3_s7_fraenkel A B) (tptp.f4_s7_fraenkel A B)))))) (= tptp.a_0_12_fraenkel tptp.a_0_13_fraenkel)) (=> (and (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.f1_s8_fraenkel) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.f2_s8_fraenkel) (= (tptp.p1_s8_fraenkel A B) (tptp.p2_s8_fraenkel A B)))))) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.f1_s8_fraenkel) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.f2_s8_fraenkel) (= (tptp.f3_s8_fraenkel A B) (tptp.f3_s8_fraenkel B A))))))) (= tptp.a_0_14_fraenkel tptp.a_0_15_fraenkel)) (=> (and (= (tptp.k7_relat_1 tptp.f4_s9_fraenkel tptp.f3_s9_fraenkel) (tptp.k7_relat_1 tptp.f5_s9_fraenkel tptp.f3_s9_fraenkel)) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.f1_s9_fraenkel) (=> (tptp.r2_hidden A tptp.f3_s9_fraenkel) (= (tptp.p1_s9_fraenkel A) (tptp.p2_s9_fraenkel A)))))) (= tptp.a_0_16_fraenkel tptp.a_0_17_fraenkel)) (tptp.r1_tarski tptp.a_0_18_fraenkel tptp.f1_s10_fraenkel) (=> (forall ((A $$unsorted)) (=> (tptp.r2_hidden A tptp.a_0_19_fraenkel) (tptp.p2_s11_fraenkel A))) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.f1_s11_fraenkel) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.f2_s11_fraenkel) (=> (tptp.p1_s11_fraenkel A B) (tptp.p2_s11_fraenkel (tptp.f3_s11_fraenkel A B)))))))) (=> (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.f1_s12_fraenkel) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.f2_s12_fraenkel) (=> (tptp.p1_s12_fraenkel A B) (tptp.p2_s12_fraenkel (tptp.f3_s12_fraenkel A B))))))) (forall ((A $$unsorted)) (=> (tptp.r2_hidden A tptp.a_0_20_fraenkel) (tptp.p2_s12_fraenkel A)))) (= tptp.a_0_21_fraenkel tptp.a_0_23_fraenkel) (= tptp.a_0_24_fraenkel tptp.a_0_26_fraenkel) (= tptp.a_0_27_fraenkel tptp.a_0_29_fraenkel) (=> (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.f1_s16_fraenkel) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.f2_s16_fraenkel) (not (and (tptp.p1_s16_fraenkel A B) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C tptp.f1_s16_fraenkel) (not (and (tptp.p2_s16_fraenkel C B) (= (tptp.f3_s16_fraenkel A B) (tptp.f3_s16_fraenkel C B)))))))))))) (tptp.r1_tarski tptp.a_0_30_fraenkel tptp.a_0_31_fraenkel)) (tptp.r1_tarski tptp.a_0_32_fraenkel tptp.f2_s17_fraenkel) (tptp.r1_xboole_0 tptp.a_0_33_fraenkel tptp.f2_s18_fraenkel) (=> (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.f1_s19_fraenkel) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.f2_s19_fraenkel) (= (tptp.p2_s19_fraenkel A B) (and (= B tptp.f4_s19_fraenkel) (tptp.p1_s19_fraenkel A B))))))) (= tptp.a_0_34_fraenkel tptp.a_0_35_fraenkel)) (= tptp.a_0_36_fraenkel tptp.a_0_37_fraenkel) (=> (tptp.v1_finset_1 tptp.f2_s21_fraenkel) (tptp.v1_finset_1 tptp.a_0_38_fraenkel)) (=> (and (tptp.v1_finset_1 tptp.f3_s22_fraenkel) (tptp.v1_finset_1 tptp.f4_s22_fraenkel)) (tptp.v1_finset_1 tptp.a_0_39_fraenkel)) (=> (and (tptp.v1_finset_1 tptp.f3_s25_fraenkel) (tptp.v1_finset_1 tptp.f4_s25_fraenkel) (forall ((A $$unsorted)) (=> (tptp.m2_fraenkel A tptp.f1_s25_fraenkel tptp.f2_s25_fraenkel (tptp.k1_fraenkel tptp.f1_s25_fraenkel tptp.f2_s25_fraenkel)) (forall ((B $$unsorted)) (=> (tptp.m2_fraenkel B tptp.f1_s25_fraenkel tptp.f2_s25_fraenkel (tptp.k1_fraenkel tptp.f1_s25_fraenkel tptp.f2_s25_fraenkel)) (=> (= (tptp.k7_relat_1 A tptp.f3_s25_fraenkel) (tptp.k7_relat_1 B tptp.f3_s25_fraenkel)) (= (tptp.f5_s25_fraenkel A) (tptp.f5_s25_fraenkel B)))))))) (tptp.v1_finset_1 tptp.a_0_40_fraenkel)) (forall ((A $$unsorted)) (= (tptp.r2_hidden A tptp.a_0_0_fraenkel) (exists ((B $$unsorted)) (and (tptp.m1_subset_1 B tptp.f1_s1_fraenkel) (= A (tptp.f2_s1_fraenkel B)) (tptp.p1_s1_fraenkel B))))) (forall ((A $$unsorted)) (= (tptp.r2_hidden A tptp.a_0_1_fraenkel) (exists ((B $$unsorted)) (and (tptp.m1_subset_1 B tptp.f1_s1_fraenkel) (= A (tptp.f2_s1_fraenkel B)) (tptp.p2_s1_fraenkel B))))) (forall ((A $$unsorted)) (= (tptp.r2_hidden A tptp.a_0_2_fraenkel) (exists ((B $$unsorted) (C $$unsorted)) (and (tptp.m1_subset_1 B tptp.f1_s2_fraenkel) (tptp.m1_subset_1 C tptp.f2_s2_fraenkel) (= A (tptp.f3_s2_fraenkel B C)) (tptp.p1_s2_fraenkel B C))))) (forall ((A $$unsorted)) (= (tptp.r2_hidden A tptp.a_0_3_fraenkel) (exists ((B $$unsorted) (C $$unsorted)) (and (tptp.m1_subset_1 B tptp.f1_s2_fraenkel) (tptp.m1_subset_1 C tptp.f2_s2_fraenkel) (= A (tptp.f3_s2_fraenkel B C)) (tptp.p2_s2_fraenkel B C))))) (forall ((A $$unsorted)) (= (tptp.r2_hidden A tptp.a_0_4_fraenkel) (exists ((B $$unsorted)) (and (tptp.m1_subset_1 B tptp.f1_s3_fraenkel) (= A (tptp.f2_s3_fraenkel B)) (tptp.p1_s3_fraenkel B))))) (forall ((A $$unsorted)) (= (tptp.r2_hidden A tptp.a_0_5_fraenkel) (exists ((B $$unsorted)) (and (tptp.m1_subset_1 B tptp.f1_s3_fraenkel) (= A (tptp.f2_s3_fraenkel B)) (tptp.p2_s3_fraenkel B))))) (forall ((A $$unsorted)) (= (tptp.r2_hidden A tptp.a_0_6_fraenkel) (exists ((B $$unsorted) (C $$unsorted)) (and (tptp.m1_subset_1 B tptp.f1_s4_fraenkel) (tptp.m1_subset_1 C tptp.f2_s4_fraenkel) (= A (tptp.f3_s4_fraenkel B C)) (tptp.p1_s4_fraenkel B C))))) (forall ((A $$unsorted)) (= (tptp.r2_hidden A tptp.a_0_7_fraenkel) (exists ((B $$unsorted) (C $$unsorted)) (and (tptp.m1_subset_1 B tptp.f1_s4_fraenkel) (tptp.m1_subset_1 C tptp.f2_s4_fraenkel) (= A (tptp.f3_s4_fraenkel B C)) (tptp.p2_s4_fraenkel B C))))) (forall ((A $$unsorted)) (= (tptp.r2_hidden A tptp.a_0_8_fraenkel) (exists ((B $$unsorted)) (and (tptp.m1_subset_1 B tptp.f1_s5_fraenkel) (= A (tptp.f2_s5_fraenkel B)) (tptp.p1_s5_fraenkel B))))) (forall ((A $$unsorted)) (= (tptp.r2_hidden A tptp.a_0_9_fraenkel) (exists ((B $$unsorted)) (and (tptp.m1_subset_1 B tptp.f1_s5_fraenkel) (= A (tptp.f3_s5_fraenkel B)) (tptp.p1_s5_fraenkel B))))) (forall ((A $$unsorted)) (= (tptp.r2_hidden A tptp.a_0_10_fraenkel) (exists ((B $$unsorted)) (and (tptp.m1_subset_1 B tptp.f1_s6_fraenkel) (= A (tptp.f2_s6_fraenkel B)) (tptp.p1_s6_fraenkel B))))) (forall ((A $$unsorted)) (= (tptp.r2_hidden A tptp.a_0_11_fraenkel) (exists ((B $$unsorted)) (and (tptp.m1_subset_1 B tptp.f1_s6_fraenkel) (= A (tptp.f3_s6_fraenkel B)) (tptp.p1_s6_fraenkel B))))) (forall ((A $$unsorted)) (= (tptp.r2_hidden A tptp.a_0_12_fraenkel) (exists ((B $$unsorted) (C $$unsorted)) (and (tptp.m1_subset_1 B tptp.f1_s7_fraenkel) (tptp.m1_subset_1 C tptp.f2_s7_fraenkel) (= A (tptp.f3_s7_fraenkel B C)) (tptp.p1_s7_fraenkel B C))))) (forall ((A $$unsorted)) (= (tptp.r2_hidden A tptp.a_0_13_fraenkel) (exists ((B $$unsorted) (C $$unsorted)) (and (tptp.m1_subset_1 B tptp.f1_s7_fraenkel) (tptp.m1_subset_1 C tptp.f2_s7_fraenkel) (= A (tptp.f4_s7_fraenkel B C)) (tptp.p1_s7_fraenkel B C))))) (forall ((A $$unsorted)) (= (tptp.r2_hidden A tptp.a_0_14_fraenkel) (exists ((B $$unsorted) (C $$unsorted)) (and (tptp.m1_subset_1 B tptp.f1_s8_fraenkel) (tptp.m1_subset_1 C tptp.f2_s8_fraenkel) (= A (tptp.f3_s8_fraenkel B C)) (tptp.p1_s8_fraenkel B C))))) (forall ((A $$unsorted)) (= (tptp.r2_hidden A tptp.a_0_15_fraenkel) (exists ((B $$unsorted) (C $$unsorted)) (and (tptp.m1_subset_1 B tptp.f1_s8_fraenkel) (tptp.m1_subset_1 C tptp.f2_s8_fraenkel) (= A (tptp.f3_s8_fraenkel C B)) (tptp.p2_s8_fraenkel B C))))) (forall ((A $$unsorted)) (= (tptp.r2_hidden A tptp.a_0_16_fraenkel) (exists ((B $$unsorted)) (and (tptp.m1_subset_1 B tptp.f1_s9_fraenkel) (= A (tptp.k8_funct_2 tptp.f1_s9_fraenkel tptp.f2_s9_fraenkel tptp.f4_s9_fraenkel B)) (tptp.p1_s9_fraenkel B) (tptp.r2_hidden B tptp.f3_s9_fraenkel))))) (forall ((A $$unsorted)) (= (tptp.r2_hidden A tptp.a_0_17_fraenkel) (exists ((B $$unsorted)) (and (tptp.m1_subset_1 B tptp.f1_s9_fraenkel) (= A (tptp.k8_funct_2 tptp.f1_s9_fraenkel tptp.f2_s9_fraenkel tptp.f5_s9_fraenkel B)) (tptp.p2_s9_fraenkel B) (tptp.r2_hidden B tptp.f3_s9_fraenkel))))) (forall ((A $$unsorted)) (= (tptp.r2_hidden A tptp.a_0_18_fraenkel) (exists ((B $$unsorted)) (and (tptp.m1_subset_1 B tptp.f1_s10_fraenkel) (= A B) (tptp.p1_s10_fraenkel B))))) (forall ((A $$unsorted)) (= (tptp.r2_hidden A tptp.a_0_19_fraenkel) (exists ((B $$unsorted) (C $$unsorted)) (and (tptp.m1_subset_1 B tptp.f1_s11_fraenkel) (tptp.m1_subset_1 C tptp.f2_s11_fraenkel) (= A (tptp.f3_s11_fraenkel B C)) (tptp.p1_s11_fraenkel B C))))) (forall ((A $$unsorted)) (= (tptp.r2_hidden A tptp.a_0_20_fraenkel) (exists ((B $$unsorted) (C $$unsorted)) (and (tptp.m1_subset_1 B tptp.f1_s12_fraenkel) (tptp.m1_subset_1 C tptp.f2_s12_fraenkel) (= A (tptp.f3_s12_fraenkel B C)) (tptp.p1_s12_fraenkel B C))))) (forall ((A $$unsorted)) (= (tptp.r2_hidden A tptp.a_0_21_fraenkel) (exists ((B $$unsorted)) (and (tptp.m1_subset_1 B tptp.f3_s13_fraenkel) (= A B) (tptp.r2_hidden B tptp.a_0_22_fraenkel) (tptp.p2_s13_fraenkel B))))) (forall ((A $$unsorted)) (= (tptp.r2_hidden A tptp.a_0_22_fraenkel) (exists ((B $$unsorted) (C $$unsorted)) (and (tptp.m1_subset_1 B tptp.f1_s13_fraenkel) (tptp.m1_subset_1 C tptp.f2_s13_fraenkel) (= A (tptp.f4_s13_fraenkel B C)) (tptp.p1_s13_fraenkel B C))))) (forall ((A $$unsorted)) (= (tptp.r2_hidden A tptp.a_0_23_fraenkel) (exists ((B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.f4_s13_fraenkel B C))) (and (tptp.m1_subset_1 B tptp.f1_s13_fraenkel) (tptp.m1_subset_1 C tptp.f2_s13_fraenkel) (= A _let_1) (tptp.p1_s13_fraenkel B C) (tptp.p2_s13_fraenkel _let_1)))))) (forall ((A $$unsorted)) (= (tptp.r2_hidden A tptp.a_0_24_fraenkel) (exists ((B $$unsorted)) (and (tptp.m1_subset_1 B tptp.f1_s14_fraenkel) (= A (tptp.f2_s14_fraenkel B)) (tptp.r2_hidden B tptp.a_0_25_fraenkel) (tptp.p1_s14_fraenkel B))))) (forall ((A $$unsorted)) (= (tptp.r2_hidden A tptp.a_0_25_fraenkel) (exists ((B $$unsorted)) (and (tptp.m1_subset_1 B tptp.f1_s14_fraenkel) (= A B) (tptp.p2_s14_fraenkel B))))) (forall ((A $$unsorted)) (= (tptp.r2_hidden A tptp.a_0_26_fraenkel) (exists ((B $$unsorted)) (and (tptp.m1_subset_1 B tptp.f1_s14_fraenkel) (= A (tptp.f2_s14_fraenkel B)) (tptp.p2_s14_fraenkel B) (tptp.p1_s14_fraenkel B))))) (forall ((A $$unsorted)) (= (tptp.r2_hidden A tptp.a_0_27_fraenkel) (exists ((B $$unsorted) (C $$unsorted)) (and (tptp.m1_subset_1 B tptp.f1_s15_fraenkel) (tptp.m1_subset_1 C tptp.f2_s15_fraenkel) (= A (tptp.f3_s15_fraenkel B C)) (tptp.r2_hidden B tptp.a_0_28_fraenkel) (tptp.p1_s15_fraenkel B C))))) (forall ((A $$unsorted)) (= (tptp.r2_hidden A tptp.a_0_28_fraenkel) (exists ((B $$unsorted)) (and (tptp.m1_subset_1 B tptp.f1_s15_fraenkel) (= A B) (tptp.p2_s15_fraenkel B))))) (forall ((A $$unsorted)) (= (tptp.r2_hidden A tptp.a_0_29_fraenkel) (exists ((B $$unsorted) (C $$unsorted)) (and (tptp.m1_subset_1 B tptp.f1_s15_fraenkel) (tptp.m1_subset_1 C tptp.f2_s15_fraenkel) (= A (tptp.f3_s15_fraenkel B C)) (tptp.p2_s15_fraenkel B) (tptp.p1_s15_fraenkel B C))))) (forall ((A $$unsorted)) (= (tptp.r2_hidden A tptp.a_0_30_fraenkel) (exists ((B $$unsorted) (C $$unsorted)) (and (tptp.m1_subset_1 B tptp.f1_s16_fraenkel) (tptp.m1_subset_1 C tptp.f2_s16_fraenkel) (= A (tptp.f3_s16_fraenkel B C)) (tptp.p1_s16_fraenkel B C))))) (forall ((A $$unsorted)) (= (tptp.r2_hidden A tptp.a_0_31_fraenkel) (exists ((B $$unsorted) (C $$unsorted)) (and (tptp.m1_subset_1 B tptp.f1_s16_fraenkel) (tptp.m1_subset_1 C tptp.f2_s16_fraenkel) (= A (tptp.f3_s16_fraenkel B C)) (tptp.p2_s16_fraenkel B C))))) (forall ((A $$unsorted)) (= (tptp.r2_hidden A tptp.a_0_32_fraenkel) (exists ((B $$unsorted)) (let ((_let_1 (tptp.f3_s17_fraenkel B))) (and (tptp.m1_subset_1 B tptp.f1_s17_fraenkel) (= A _let_1) (tptp.r2_hidden _let_1 tptp.f2_s17_fraenkel) (tptp.p1_s17_fraenkel B)))))) (forall ((A $$unsorted)) (= (tptp.r2_hidden A tptp.a_0_33_fraenkel) (exists ((B $$unsorted)) (let ((_let_1 (tptp.f3_s18_fraenkel B))) (and (tptp.m1_subset_1 B tptp.f1_s18_fraenkel) (= A _let_1) (tptp.p1_s18_fraenkel B) (not (tptp.r2_hidden _let_1 tptp.f2_s18_fraenkel))))))) (forall ((A $$unsorted)) (= (tptp.r2_hidden A tptp.a_0_34_fraenkel) (exists ((B $$unsorted) (C $$unsorted)) (and (tptp.m1_subset_1 B tptp.f1_s19_fraenkel) (tptp.m1_subset_1 C tptp.f2_s19_fraenkel) (= A (tptp.f3_s19_fraenkel B C)) (tptp.p2_s19_fraenkel B C))))) (forall ((A $$unsorted)) (= (tptp.r2_hidden A tptp.a_0_35_fraenkel) (exists ((B $$unsorted)) (and (tptp.m1_subset_1 B tptp.f1_s19_fraenkel) (= A (tptp.f3_s19_fraenkel B tptp.f4_s19_fraenkel)) (tptp.p1_s19_fraenkel B tptp.f4_s19_fraenkel))))) (forall ((A $$unsorted)) (= (tptp.r2_hidden A tptp.a_0_36_fraenkel) (exists ((B $$unsorted) (C $$unsorted)) (and (tptp.m1_subset_1 B tptp.f1_s20_fraenkel) (tptp.m1_subset_1 C tptp.f2_s20_fraenkel) (= A (tptp.f3_s20_fraenkel B C)) (= C tptp.f4_s20_fraenkel) (tptp.p1_s20_fraenkel B C))))) (forall ((A $$unsorted)) (= (tptp.r2_hidden A tptp.a_0_37_fraenkel) (exists ((B $$unsorted)) (and (tptp.m1_subset_1 B tptp.f1_s20_fraenkel) (= A (tptp.f3_s20_fraenkel B tptp.f4_s20_fraenkel)) (tptp.p1_s20_fraenkel B tptp.f4_s20_fraenkel))))) (forall ((A $$unsorted)) (= (tptp.r2_hidden A tptp.a_0_38_fraenkel) (exists ((B $$unsorted)) (and (tptp.m1_subset_1 B tptp.f1_s21_fraenkel) (= A (tptp.f3_s21_fraenkel B)) (tptp.r2_hidden B tptp.f2_s21_fraenkel))))) (forall ((A $$unsorted)) (= (tptp.r2_hidden A tptp.a_0_39_fraenkel) (exists ((B $$unsorted) (C $$unsorted)) (and (tptp.m1_subset_1 B tptp.f1_s22_fraenkel) (tptp.m1_subset_1 C tptp.f2_s22_fraenkel) (= A (tptp.f5_s22_fraenkel B C)) (tptp.r2_hidden B tptp.f3_s22_fraenkel) (tptp.r2_hidden C tptp.f4_s22_fraenkel))))) (forall ((A $$unsorted)) (= (tptp.r2_hidden A tptp.a_0_40_fraenkel) (exists ((B $$unsorted)) (and (tptp.m2_fraenkel B tptp.f1_s25_fraenkel tptp.f2_s25_fraenkel (tptp.k1_fraenkel tptp.f1_s25_fraenkel tptp.f2_s25_fraenkel)) (= A (tptp.f5_s25_fraenkel B)) (tptp.r1_tarski (tptp.k2_funct_2 tptp.f1_s25_fraenkel tptp.f2_s25_fraenkel B tptp.f3_s25_fraenkel) tptp.f4_s25_fraenkel))))) (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 $$unsorted) (B $$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)))) (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 $$unsorted)) (and (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (= (tptp.k1_group_1 A D B) C))))))))) (and (tptp.v4_group_1 A) (tptp.v3_group_1 A))))) (and _let_11 _let_12) (forall ((A $$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 $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (tptp.k1_group_1 A B C) (tptp.k1_group_1 A C B))))))))) true (and (not (tptp.v3_struct_0 _let_10)) _let_12 _let_11 (tptp.v7_group_1 _let_10) (tptp.l1_group_1 _let_10)) true (forall ((A $$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 $$unsorted)) (=> (= (tptp.g1_group_1 A B) (tptp.g1_group_1 C D)) (and (= A C) (= B D))))))) (and _let_9 _let_5) (and _let_9 _let_5 (tptp.v3_rlvect_1 tptp.k1_vectsp_1) (tptp.v4_rlvect_1 tptp.k1_vectsp_1) (tptp.v5_rlvect_1 tptp.k1_vectsp_1) (tptp.v6_rlvect_1 tptp.k1_vectsp_1)) (exists ((A $$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_8 _let_4) (and _let_8 _let_7 _let_4) (and _let_8 (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_7 (tptp.v4_group_1 tptp.k3_vectsp_1) (tptp.v7_group_1 tptp.k3_vectsp_1) _let_4 (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_6 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_6 _let_6) (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_5 (tptp.l1_rlvect_1 tptp.k1_vectsp_1)) (forall ((A $$unsorted)) (=> (tptp.l1_vectsp_1 A) (tptp.m1_subset_1 (tptp.k2_vectsp_1 A) (tptp.u1_struct_0 A)))) (and _let_4 (tptp.l3_vectsp_1 tptp.k3_vectsp_1)) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_group_1 A) (tptp.v7_group_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.v9_vectsp_1 A) (tptp.l3_vectsp_1 A) (tptp.m1_subset_1 B _let_1)) (tptp.m1_subset_1 (tptp.k4_vectsp_1 A B) _let_1)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_group_1 A) (tptp.v7_group_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.v9_vectsp_1 A) (tptp.l3_vectsp_1 A) (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (tptp.m1_subset_1 (tptp.k5_vectsp_1 A B C) _let_1)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_struct_0 A) (not (tptp.v3_struct_0 B)) (tptp.l4_vectsp_1 B A) (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (tptp.m1_subset_1 D _let_1)) (tptp.m1_subset_1 (tptp.k6_vectsp_1 A B C D) _let_1)))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.k7_vectsp_1 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_rlvect_1 A)) (and (tptp.v1_funct_1 _let_2) (tptp.v1_funct_2 _let_2 _let_1 _let_1) (tptp.m2_relset_1 _let_2 _let_1 _let_1)))))) (forall ((A $$unsorted)) (=> (tptp.l1_vectsp_1 A) (tptp.m1_subset_1 (tptp.u1_vectsp_1 A) (tptp.u1_struct_0 A)))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.k2_zfmisc_1 (tptp.u1_struct_0 A) _let_1))) (let ((_let_3 (tptp.u2_vectsp_1 A B))) (=> (and (tptp.l1_struct_0 A) (tptp.l4_vectsp_1 B A)) (and (tptp.v1_funct_1 _let_3) (tptp.v1_funct_2 _let_3 _let_2 _let_1) (tptp.m2_relset_1 _let_3 _let_2 _let_1))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.g1_vectsp_1 A B C))) (let ((_let_2 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_2 A) (tptp.m1_relset_1 B _let_2 A) (tptp.m1_subset_1 C A)) (and (tptp.v1_vectsp_1 _let_1) (tptp.l1_vectsp_1 _let_1)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_1 A) (tptp.m1_relset_1 B _let_1 A) (tptp.m1_subset_1 C A)) (forall ((D $$unsorted) (E $$unsorted) (F $$unsorted)) (=> (= (tptp.g1_vectsp_1 A B C) (tptp.g1_vectsp_1 D E F)) (and (= A D) (= B E) (= C F))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.g2_vectsp_1 A B C D))) (let ((_let_2 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_2 A) (tptp.m1_relset_1 B _let_2 A) (tptp.m1_subset_1 C A) (tptp.m1_subset_1 D A)) (and (tptp.v2_vectsp_1 _let_1) (tptp.l2_vectsp_1 _let_1)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_1 A) (tptp.m1_relset_1 B _let_1 A) (tptp.m1_subset_1 C A) (tptp.m1_subset_1 D A)) (forall ((E $$unsorted) (F $$unsorted) (G $$unsorted) (H $$unsorted)) (=> (= (tptp.g2_vectsp_1 A B C D) (tptp.g2_vectsp_1 E F G H)) (and (= A E) (= B F) (= C G) (= D H))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (let ((_let_1 (tptp.g3_vectsp_1 A B C D E))) (let ((_let_2 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_2 A) (tptp.m1_relset_1 B _let_2 A) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 A) (tptp.m1_relset_1 C _let_2 A) (tptp.m1_subset_1 D A) (tptp.m1_subset_1 E A)) (and (tptp.v3_vectsp_1 _let_1) (tptp.l3_vectsp_1 _let_1)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_1 A) (tptp.m1_relset_1 B _let_1 A) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_1 A) (tptp.m1_relset_1 C _let_1 A) (tptp.m1_subset_1 D A) (tptp.m1_subset_1 E A)) (forall ((F $$unsorted) (G $$unsorted) (H $$unsorted) (I $$unsorted) (J $$unsorted)) (=> (= (tptp.g3_vectsp_1 A B C D E) (tptp.g3_vectsp_1 F G H I J)) (and (= A F) (= B G) (= C H) (= D I) (= E J))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (let ((_let_1 (tptp.g4_vectsp_1 A B C D E))) (let ((_let_2 (tptp.k2_zfmisc_1 (tptp.u1_struct_0 A) B))) (let ((_let_3 (tptp.k2_zfmisc_1 B B))) (=> (and (tptp.l1_struct_0 A) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_3 B) (tptp.m1_relset_1 C _let_3 B) (tptp.m1_subset_1 D B) (tptp.v1_funct_1 E) (tptp.v1_funct_2 E _let_2 B) (tptp.m1_relset_1 E _let_2 B)) (and (tptp.v11_vectsp_1 _let_1 A) (tptp.l4_vectsp_1 _let_1 A))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 (tptp.u1_struct_0 A) B))) (let ((_let_2 (tptp.k2_zfmisc_1 B B))) (=> (and (tptp.l1_struct_0 A) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 B) (tptp.m1_relset_1 C _let_2 B) (tptp.m1_subset_1 D B) (tptp.v1_funct_1 E) (tptp.v1_funct_2 E _let_1 B) (tptp.m1_relset_1 E _let_1 B)) (forall ((F $$unsorted) (G $$unsorted) (H $$unsorted) (I $$unsorted) (J $$unsorted)) (=> (= (tptp.g4_vectsp_1 A B C D E) (tptp.g4_vectsp_1 F G H I J)) (and (= A F) (= B G) (= C H) (= D I) (= E J)))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k12_funcsdom A))) (=> (not (tptp.v1_xboole_0 A)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v3_vectsp_1 _let_1))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k12_funcsdom A))) (=> (not (tptp.v1_xboole_0 A)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v2_group_1 _let_1) (tptp.v3_vectsp_1 _let_1) (tptp.v6_vectsp_1 _let_1) (tptp.v8_vectsp_1 _let_1))))) (exists ((A $$unsorted)) (and (tptp.l3_vectsp_1 A) (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v7_group_1 A) (tptp.v3_vectsp_1 A) (tptp.v4_vectsp_1 A) (tptp.v6_vectsp_1 A))) (exists ((A $$unsorted)) (and (tptp.l1_funcsdom A) (tptp.v1_funcsdom A))) (exists ((A $$unsorted)) (and (tptp.l1_funcsdom A) (not (tptp.v3_struct_0 A)))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k13_funcsdom A))) (=> (not (tptp.v1_xboole_0 A)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v1_funcsdom _let_1))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k13_funcsdom A))) (=> (not (tptp.v1_xboole_0 A)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v2_group_1 _let_1) (tptp.v6_vectsp_1 _let_1) (tptp.v8_vectsp_1 _let_1) (tptp.v1_funcsdom _let_1))))) (exists ((A $$unsorted)) (and (tptp.l1_funcsdom A) (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v7_group_1 A) (tptp.v1_funcsdom A) (tptp.v2_funcsdom A))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C A B) (tptp.m2_relset_1 C A B)) (= (tptp.k3_funcsdom A B C) C))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k1_fraenkel A tptp.k1_numbers))) (let ((_let_2 (tptp.k2_zfmisc_1 _let_1 _let_1))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_2 _let_1) (tptp.m2_relset_1 B _let_2 _let_1)) (= (= B (tptp.k6_funcsdom A)) (forall ((C $$unsorted)) (=> (tptp.m2_fraenkel C A tptp.k1_numbers (tptp.k1_fraenkel A tptp.k1_numbers)) (forall ((D $$unsorted)) (=> (tptp.m2_fraenkel D A tptp.k1_numbers (tptp.k1_fraenkel A tptp.k1_numbers)) (= (tptp.k1_funcsdom A tptp.k1_numbers B C D) (tptp.k4_funcsdom tptp.k1_numbers A tptp.k33_binop_2 C D))))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k1_fraenkel A tptp.k1_numbers))) (let ((_let_2 (tptp.k2_zfmisc_1 _let_1 _let_1))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_2 _let_1) (tptp.m2_relset_1 B _let_2 _let_1)) (= (= B (tptp.k7_funcsdom A)) (forall ((C $$unsorted)) (=> (tptp.m2_fraenkel C A tptp.k1_numbers (tptp.k1_fraenkel A tptp.k1_numbers)) (forall ((D $$unsorted)) (=> (tptp.m2_fraenkel D A tptp.k1_numbers (tptp.k1_fraenkel A tptp.k1_numbers)) (= (tptp.k1_funcsdom A tptp.k1_numbers B C D) (tptp.k4_funcsdom tptp.k1_numbers A tptp.k35_binop_2 C D))))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k1_fraenkel A tptp.k1_numbers))) (let ((_let_2 (tptp.k2_zfmisc_1 tptp.k1_numbers _let_1))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_2 _let_1) (tptp.m2_relset_1 B _let_2 _let_1)) (= (= B (tptp.k8_funcsdom A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C tptp.k1_numbers) (forall ((D $$unsorted)) (=> (tptp.m2_fraenkel D A tptp.k1_numbers (tptp.k1_fraenkel A tptp.k1_numbers)) (forall ((E $$unsorted)) (let ((_let_1 (tptp.k1_fraenkel A tptp.k1_numbers))) (=> (tptp.m1_subset_1 E A) (= (tptp.k8_funct_2 A tptp.k1_numbers (tptp.k2_funcsdom A tptp.k1_numbers tptp.k1_numbers _let_1 B (tptp.k1_domain_1 tptp.k1_numbers _let_1 C D)) E) (tptp.k4_real_1 C (tptp.k8_funct_2 A tptp.k1_numbers D E))))))))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (= (tptp.k9_funcsdom A) (tptp.k2_funcop_1 A tptp.np__0)))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (= (tptp.k10_funcsdom A) (tptp.k2_funcop_1 A tptp.np__1)))) true true true true true true true true true (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (tptp.m2_fraenkel B A tptp.k1_numbers (tptp.k1_fraenkel A tptp.k1_numbers)) (forall ((C $$unsorted)) (=> (tptp.m2_fraenkel C A tptp.k1_numbers (tptp.k1_fraenkel A tptp.k1_numbers)) (forall ((D $$unsorted)) (=> (tptp.m2_fraenkel D A tptp.k1_numbers (tptp.k1_fraenkel A tptp.k1_numbers)) (= (= B (tptp.k1_funcsdom A tptp.k1_numbers (tptp.k6_funcsdom A) C D)) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E A) (= (tptp.k8_funct_2 A tptp.k1_numbers B E) (tptp.k3_real_1 (tptp.k8_funct_2 A tptp.k1_numbers C E) (tptp.k8_funct_2 A tptp.k1_numbers D E)))))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (tptp.m2_fraenkel B A tptp.k1_numbers (tptp.k1_fraenkel A tptp.k1_numbers)) (forall ((C $$unsorted)) (=> (tptp.m2_fraenkel C A tptp.k1_numbers (tptp.k1_fraenkel A tptp.k1_numbers)) (forall ((D $$unsorted)) (=> (tptp.m2_fraenkel D A tptp.k1_numbers (tptp.k1_fraenkel A tptp.k1_numbers)) (= (= B (tptp.k1_funcsdom A tptp.k1_numbers (tptp.k7_funcsdom A) C D)) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E A) (= (tptp.k8_funct_2 A tptp.k1_numbers B E) (tptp.k4_real_1 (tptp.k8_funct_2 A tptp.k1_numbers C E) (tptp.k8_funct_2 A tptp.k1_numbers D E)))))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B A) (= (tptp.k8_funct_2 A tptp.k1_numbers (tptp.k10_funcsdom A) B) tptp.np__1))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B A) (= (tptp.k8_funct_2 A tptp.k1_numbers (tptp.k9_funcsdom A) B) tptp.np__0))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (not (= (tptp.k9_funcsdom A) (tptp.k10_funcsdom A))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (tptp.m2_fraenkel B A tptp.k1_numbers (tptp.k1_fraenkel A tptp.k1_numbers)) (forall ((C $$unsorted)) (=> (tptp.m2_fraenkel C A tptp.k1_numbers (tptp.k1_fraenkel A tptp.k1_numbers)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k1_fraenkel A tptp.k1_numbers))) (=> (tptp.m1_subset_1 D tptp.k1_numbers) (= (= B (tptp.k2_funcsdom A tptp.k1_numbers tptp.k1_numbers _let_1 (tptp.k8_funcsdom A) (tptp.k1_domain_1 tptp.k1_numbers _let_1 D C))) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E A) (= (tptp.k8_funct_2 A tptp.k1_numbers B E) (tptp.k4_real_1 D (tptp.k8_funct_2 A tptp.k1_numbers C E))))))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (tptp.m2_fraenkel B A tptp.k1_numbers (tptp.k1_fraenkel A tptp.k1_numbers)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k6_funcsdom A))) (=> (tptp.m2_fraenkel C A tptp.k1_numbers (tptp.k1_fraenkel A tptp.k1_numbers)) (= (tptp.k1_funcsdom A tptp.k1_numbers _let_1 B C) (tptp.k1_funcsdom A tptp.k1_numbers _let_1 C B))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (tptp.m2_fraenkel B A tptp.k1_numbers (tptp.k1_fraenkel A tptp.k1_numbers)) (forall ((C $$unsorted)) (=> (tptp.m2_fraenkel C A tptp.k1_numbers (tptp.k1_fraenkel A tptp.k1_numbers)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k6_funcsdom A))) (=> (tptp.m2_fraenkel D A tptp.k1_numbers (tptp.k1_fraenkel A tptp.k1_numbers)) (= (tptp.k1_funcsdom A tptp.k1_numbers _let_1 B (tptp.k1_funcsdom A tptp.k1_numbers _let_1 C D)) (tptp.k1_funcsdom A tptp.k1_numbers _let_1 (tptp.k1_funcsdom A tptp.k1_numbers _let_1 B C) D))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (tptp.m2_fraenkel B A tptp.k1_numbers (tptp.k1_fraenkel A tptp.k1_numbers)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k7_funcsdom A))) (=> (tptp.m2_fraenkel C A tptp.k1_numbers (tptp.k1_fraenkel A tptp.k1_numbers)) (= (tptp.k1_funcsdom A tptp.k1_numbers _let_1 B C) (tptp.k1_funcsdom A tptp.k1_numbers _let_1 C B))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (tptp.m2_fraenkel B A tptp.k1_numbers (tptp.k1_fraenkel A tptp.k1_numbers)) (forall ((C $$unsorted)) (=> (tptp.m2_fraenkel C A tptp.k1_numbers (tptp.k1_fraenkel A tptp.k1_numbers)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k7_funcsdom A))) (=> (tptp.m2_fraenkel D A tptp.k1_numbers (tptp.k1_fraenkel A tptp.k1_numbers)) (= (tptp.k1_funcsdom A tptp.k1_numbers _let_1 B (tptp.k1_funcsdom A tptp.k1_numbers _let_1 C D)) (tptp.k1_funcsdom A tptp.k1_numbers _let_1 (tptp.k1_funcsdom A tptp.k1_numbers _let_1 B C) D))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (tptp.m2_fraenkel B A tptp.k1_numbers (tptp.k1_fraenkel A tptp.k1_numbers)) (= (tptp.k1_funcsdom A tptp.k1_numbers (tptp.k7_funcsdom A) (tptp.k10_funcsdom A) B) B))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (tptp.m2_fraenkel B A tptp.k1_numbers (tptp.k1_fraenkel A tptp.k1_numbers)) (= (tptp.k1_funcsdom A tptp.k1_numbers (tptp.k6_funcsdom A) (tptp.k9_funcsdom A) B) B))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k1_fraenkel A tptp.k1_numbers))) (=> (tptp.m2_fraenkel B A tptp.k1_numbers _let_1) (= (tptp.k1_funcsdom A tptp.k1_numbers (tptp.k6_funcsdom A) B (tptp.k2_funcsdom A tptp.k1_numbers tptp.k1_numbers _let_1 (tptp.k8_funcsdom A) (tptp.k1_domain_1 tptp.k1_numbers _let_1 (tptp.k1_real_1 tptp.np__1) B))) (tptp.k9_funcsdom A))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k1_fraenkel A tptp.k1_numbers))) (=> (tptp.m2_fraenkel B A tptp.k1_numbers _let_1) (= (tptp.k2_funcsdom A tptp.k1_numbers tptp.k1_numbers _let_1 (tptp.k8_funcsdom A) (tptp.k1_domain_1 tptp.k1_numbers _let_1 tptp.np__1 B)) B)))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (tptp.m2_fraenkel B A tptp.k1_numbers (tptp.k1_fraenkel A tptp.k1_numbers)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C tptp.k1_numbers) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k1_fraenkel A tptp.k1_numbers))) (let ((_let_2 (tptp.k8_funcsdom A))) (=> (tptp.m1_subset_1 D tptp.k1_numbers) (= (tptp.k2_funcsdom A tptp.k1_numbers tptp.k1_numbers _let_1 _let_2 (tptp.k1_domain_1 tptp.k1_numbers _let_1 C (tptp.k2_funcsdom A tptp.k1_numbers tptp.k1_numbers _let_1 _let_2 (tptp.k1_domain_1 tptp.k1_numbers _let_1 D B)))) (tptp.k2_funcsdom A tptp.k1_numbers tptp.k1_numbers _let_1 _let_2 (tptp.k1_domain_1 tptp.k1_numbers _let_1 (tptp.k4_real_1 C D) B))))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (tptp.m2_fraenkel B A tptp.k1_numbers (tptp.k1_fraenkel A tptp.k1_numbers)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C tptp.k1_numbers) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k1_fraenkel A tptp.k1_numbers))) (let ((_let_2 (tptp.k8_funcsdom A))) (=> (tptp.m1_subset_1 D tptp.k1_numbers) (= (tptp.k1_funcsdom A tptp.k1_numbers (tptp.k6_funcsdom A) (tptp.k2_funcsdom A tptp.k1_numbers tptp.k1_numbers _let_1 _let_2 (tptp.k1_domain_1 tptp.k1_numbers _let_1 C B)) (tptp.k2_funcsdom A tptp.k1_numbers tptp.k1_numbers _let_1 _let_2 (tptp.k1_domain_1 tptp.k1_numbers _let_1 D B))) (tptp.k2_funcsdom A tptp.k1_numbers tptp.k1_numbers _let_1 _let_2 (tptp.k1_domain_1 tptp.k1_numbers _let_1 (tptp.k3_real_1 C D) B))))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (tptp.m2_fraenkel B A tptp.k1_numbers (tptp.k1_fraenkel A tptp.k1_numbers)) (forall ((C $$unsorted)) (=> (tptp.m2_fraenkel C A tptp.k1_numbers (tptp.k1_fraenkel A tptp.k1_numbers)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k7_funcsdom A))) (let ((_let_2 (tptp.k6_funcsdom A))) (=> (tptp.m2_fraenkel D A tptp.k1_numbers (tptp.k1_fraenkel A tptp.k1_numbers)) (= (tptp.k1_funcsdom A tptp.k1_numbers _let_1 B (tptp.k1_funcsdom A tptp.k1_numbers _let_2 C D)) (tptp.k1_funcsdom A tptp.k1_numbers _let_2 (tptp.k1_funcsdom A tptp.k1_numbers _let_1 B C) (tptp.k1_funcsdom A tptp.k1_numbers _let_1 B D))))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (tptp.m2_fraenkel B A tptp.k1_numbers (tptp.k1_fraenkel A tptp.k1_numbers)) (forall ((C $$unsorted)) (=> (tptp.m2_fraenkel C A tptp.k1_numbers (tptp.k1_fraenkel A tptp.k1_numbers)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k7_funcsdom A))) (let ((_let_2 (tptp.k1_fraenkel A tptp.k1_numbers))) (let ((_let_3 (tptp.k8_funcsdom A))) (=> (tptp.m1_subset_1 D tptp.k1_numbers) (= (tptp.k1_funcsdom A tptp.k1_numbers _let_1 (tptp.k2_funcsdom A tptp.k1_numbers tptp.k1_numbers _let_2 _let_3 (tptp.k1_domain_1 tptp.k1_numbers _let_2 D B)) C) (tptp.k2_funcsdom A tptp.k1_numbers tptp.k1_numbers _let_2 _let_3 (tptp.k1_domain_1 tptp.k1_numbers _let_2 D (tptp.k1_funcsdom A tptp.k1_numbers _let_1 B C))))))))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (exists ((C $$unsorted)) (and (tptp.m2_fraenkel C B tptp.k1_numbers (tptp.k1_fraenkel B tptp.k1_numbers)) (exists ((D $$unsorted)) (and (tptp.m2_fraenkel D B tptp.k1_numbers (tptp.k1_fraenkel B tptp.k1_numbers)) (forall ((E $$unsorted)) (let ((_let_1 (tptp.k1_funct_1 C E))) (let ((_let_2 (= E A))) (=> (tptp.r2_hidden E B) (and (=> _let_2 (= _let_1 tptp.np__1)) (=> (not _let_2) (= _let_1 tptp.np__0))))))) (forall ((E $$unsorted)) (let ((_let_1 (tptp.k1_funct_1 D E))) (let ((_let_2 (= E A))) (=> (tptp.r2_hidden E B) (and (=> _let_2 (= _let_1 tptp.np__0)) (=> (not _let_2) (= _let_1 tptp.np__1))))))))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (not (tptp.v1_xboole_0 C)) (forall ((D $$unsorted)) (=> (tptp.m2_fraenkel D C tptp.k1_numbers (tptp.k1_fraenkel C tptp.k1_numbers)) (forall ((E $$unsorted)) (=> (tptp.m2_fraenkel E C tptp.k1_numbers (tptp.k1_fraenkel C tptp.k1_numbers)) (=> (and (tptp.r2_hidden A C) (tptp.r2_hidden B C) (forall ((F $$unsorted)) (let ((_let_1 (tptp.k1_funct_1 D F))) (let ((_let_2 (= F A))) (=> (tptp.r2_hidden F C) (and (=> _let_2 (= _let_1 tptp.np__1)) (=> (not _let_2) (= _let_1 tptp.np__0))))))) (forall ((F $$unsorted)) (let ((_let_1 (tptp.k1_funct_1 E F))) (let ((_let_2 (= F A))) (=> (tptp.r2_hidden F C) (and (=> _let_2 (= _let_1 tptp.np__0)) (=> (not _let_2) (= _let_1 tptp.np__1)))))))) (or (= A B) (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F tptp.k1_numbers) (forall ((G $$unsorted)) (let ((_let_1 (tptp.k1_fraenkel C tptp.k1_numbers))) (let ((_let_2 (tptp.k8_funcsdom C))) (=> (tptp.m1_subset_1 G tptp.k1_numbers) (=> (= (tptp.k1_funcsdom C tptp.k1_numbers (tptp.k6_funcsdom C) (tptp.k2_funcsdom C tptp.k1_numbers tptp.k1_numbers _let_1 _let_2 (tptp.k1_domain_1 tptp.k1_numbers _let_1 F D)) (tptp.k2_funcsdom C tptp.k1_numbers tptp.k1_numbers _let_1 _let_2 (tptp.k1_domain_1 tptp.k1_numbers _let_1 G E))) (tptp.k9_funcsdom C)) (and (= F tptp.np__0) (= G tptp.np__0))))))))))))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (not (tptp.v1_xboole_0 C)) (not (and (tptp.r2_hidden A C) (tptp.r2_hidden B C) (not (= A B)) (forall ((D $$unsorted)) (=> (tptp.m2_fraenkel D C tptp.k1_numbers (tptp.k1_fraenkel C tptp.k1_numbers)) (forall ((E $$unsorted)) (=> (tptp.m2_fraenkel E C tptp.k1_numbers (tptp.k1_fraenkel C tptp.k1_numbers)) (exists ((F $$unsorted)) (and (tptp.m1_subset_1 F tptp.k1_numbers) (exists ((G $$unsorted)) (let ((_let_1 (tptp.k1_fraenkel C tptp.k1_numbers))) (let ((_let_2 (tptp.k8_funcsdom C))) (and (tptp.m1_subset_1 G tptp.k1_numbers) (= (tptp.k1_funcsdom C tptp.k1_numbers (tptp.k6_funcsdom C) (tptp.k2_funcsdom C tptp.k1_numbers tptp.k1_numbers _let_1 _let_2 (tptp.k1_domain_1 tptp.k1_numbers _let_1 F D)) (tptp.k2_funcsdom C tptp.k1_numbers tptp.k1_numbers _let_1 _let_2 (tptp.k1_domain_1 tptp.k1_numbers _let_1 G E))) (tptp.k9_funcsdom C)) (not (and (= F tptp.np__0) (= G tptp.np__0))))))))))))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (not (tptp.v1_xboole_0 C)) (forall ((D $$unsorted)) (=> (tptp.m2_fraenkel D C tptp.k1_numbers (tptp.k1_fraenkel C tptp.k1_numbers)) (forall ((E $$unsorted)) (=> (tptp.m2_fraenkel E C tptp.k1_numbers (tptp.k1_fraenkel C tptp.k1_numbers)) (=> (and (= C (tptp.k2_tarski A B)) (forall ((F $$unsorted)) (let ((_let_1 (tptp.k1_funct_1 D F))) (let ((_let_2 (= F A))) (=> (tptp.r2_hidden F C) (and (=> _let_2 (= _let_1 tptp.np__1)) (=> (not _let_2) (= _let_1 tptp.np__0))))))) (forall ((F $$unsorted)) (let ((_let_1 (tptp.k1_funct_1 E F))) (let ((_let_2 (= F A))) (=> (tptp.r2_hidden F C) (and (=> _let_2 (= _let_1 tptp.np__0)) (=> (not _let_2) (= _let_1 tptp.np__1)))))))) (or (= A B) (forall ((F $$unsorted)) (=> (tptp.m2_fraenkel F C tptp.k1_numbers (tptp.k1_fraenkel C tptp.k1_numbers)) (exists ((G $$unsorted)) (and (tptp.m1_subset_1 G tptp.k1_numbers) (exists ((H $$unsorted)) (let ((_let_1 (tptp.k1_fraenkel C tptp.k1_numbers))) (let ((_let_2 (tptp.k8_funcsdom C))) (and (tptp.m1_subset_1 H tptp.k1_numbers) (= F (tptp.k1_funcsdom C tptp.k1_numbers (tptp.k6_funcsdom C) (tptp.k2_funcsdom C tptp.k1_numbers tptp.k1_numbers _let_1 _let_2 (tptp.k1_domain_1 tptp.k1_numbers _let_1 G D)) (tptp.k2_funcsdom C tptp.k1_numbers tptp.k1_numbers _let_1 _let_2 (tptp.k1_domain_1 tptp.k1_numbers _let_1 H E)))))))))))))))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (not (tptp.v1_xboole_0 C)) (not (and (= C (tptp.k2_tarski A B)) (not (= A B)) (forall ((D $$unsorted)) (=> (tptp.m2_fraenkel D C tptp.k1_numbers (tptp.k1_fraenkel C tptp.k1_numbers)) (forall ((E $$unsorted)) (=> (tptp.m2_fraenkel E C tptp.k1_numbers (tptp.k1_fraenkel C tptp.k1_numbers)) (exists ((F $$unsorted)) (and (tptp.m2_fraenkel F C tptp.k1_numbers (tptp.k1_fraenkel C tptp.k1_numbers)) (forall ((G $$unsorted)) (=> (tptp.m1_subset_1 G tptp.k1_numbers) (forall ((H $$unsorted)) (let ((_let_1 (tptp.k1_fraenkel C tptp.k1_numbers))) (let ((_let_2 (tptp.k8_funcsdom C))) (=> (tptp.m1_subset_1 H tptp.k1_numbers) (not (= F (tptp.k1_funcsdom C tptp.k1_numbers (tptp.k6_funcsdom C) (tptp.k2_funcsdom C tptp.k1_numbers tptp.k1_numbers _let_1 _let_2 (tptp.k1_domain_1 tptp.k1_numbers _let_1 G D)) (tptp.k2_funcsdom C tptp.k1_numbers tptp.k1_numbers _let_1 _let_2 (tptp.k1_domain_1 tptp.k1_numbers _let_1 H E))))))))))))))))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (not (tptp.v1_xboole_0 C)) (not (and (= C (tptp.k2_tarski A B)) (not (= A B)) (forall ((D $$unsorted)) (=> (tptp.m2_fraenkel D C tptp.k1_numbers (tptp.k1_fraenkel C tptp.k1_numbers)) (forall ((E $$unsorted)) (=> (tptp.m2_fraenkel E C tptp.k1_numbers (tptp.k1_fraenkel C tptp.k1_numbers)) (not (and (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F tptp.k1_numbers) (forall ((G $$unsorted)) (let ((_let_1 (tptp.k1_fraenkel C tptp.k1_numbers))) (let ((_let_2 (tptp.k8_funcsdom C))) (=> (tptp.m1_subset_1 G tptp.k1_numbers) (=> (= (tptp.k1_funcsdom C tptp.k1_numbers (tptp.k6_funcsdom C) (tptp.k2_funcsdom C tptp.k1_numbers tptp.k1_numbers _let_1 _let_2 (tptp.k1_domain_1 tptp.k1_numbers _let_1 F D)) (tptp.k2_funcsdom C tptp.k1_numbers tptp.k1_numbers _let_1 _let_2 (tptp.k1_domain_1 tptp.k1_numbers _let_1 G E))) (tptp.k9_funcsdom C)) (and (= F tptp.np__0) (= G tptp.np__0))))))))) (forall ((F $$unsorted)) (=> (tptp.m2_fraenkel F C tptp.k1_numbers (tptp.k1_fraenkel C tptp.k1_numbers)) (exists ((G $$unsorted)) (and (tptp.m1_subset_1 G tptp.k1_numbers) (exists ((H $$unsorted)) (let ((_let_1 (tptp.k1_fraenkel C tptp.k1_numbers))) (let ((_let_2 (tptp.k8_funcsdom C))) (and (tptp.m1_subset_1 H tptp.k1_numbers) (= F (tptp.k1_funcsdom C tptp.k1_numbers (tptp.k6_funcsdom C) (tptp.k2_funcsdom C tptp.k1_numbers tptp.k1_numbers _let_1 _let_2 (tptp.k1_domain_1 tptp.k1_numbers _let_1 G D)) (tptp.k2_funcsdom C tptp.k1_numbers tptp.k1_numbers _let_1 _let_2 (tptp.k1_domain_1 tptp.k1_numbers _let_1 H E)))))))))))))))))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.g2_rlvect_1 (tptp.k1_fraenkel A tptp.k1_numbers) (tptp.k9_funcsdom A) (tptp.k6_funcsdom A) (tptp.k8_funcsdom A)))) (=> (not (tptp.v1_xboole_0 A)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v3_rlvect_1 _let_1) (tptp.v4_rlvect_1 _let_1) (tptp.v5_rlvect_1 _let_1) (tptp.v6_rlvect_1 _let_1) (tptp.v7_rlvect_1 _let_1) (tptp.l2_rlvect_1 _let_1))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (= (tptp.k11_funcsdom A) (tptp.g2_rlvect_1 (tptp.k1_fraenkel A tptp.k1_numbers) (tptp.k9_funcsdom A) (tptp.k6_funcsdom A) (tptp.k8_funcsdom A))))) true true (exists ((A $$unsorted)) (and (not (tptp.v3_struct_0 A)) (tptp.v2_rlvect_1 A) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v7_rlvect_1 A) (tptp.l2_rlvect_1 A) (exists ((B $$unsorted)) (and (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (exists ((C $$unsorted)) (and (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D tptp.k1_numbers) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E tptp.k1_numbers) (=> (= (tptp.k4_rlvect_1 A (tptp.k3_rlvect_1 A B D) (tptp.k3_rlvect_1 A C E)) (tptp.k1_rlvect_1 A)) (and (= D tptp.np__0) (= E tptp.np__0))))))) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (exists ((E $$unsorted)) (and (tptp.m1_subset_1 E tptp.k1_numbers) (exists ((F $$unsorted)) (and (tptp.m1_subset_1 F tptp.k1_numbers) (= D (tptp.k4_rlvect_1 A (tptp.k3_rlvect_1 A B E) (tptp.k3_rlvect_1 A C F))))))))))))))) true true true true (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (= (tptp.k12_funcsdom A) (tptp.g3_vectsp_1 (tptp.k1_fraenkel A tptp.k1_numbers) (tptp.k6_funcsdom A) (tptp.k7_funcsdom A) (tptp.k10_funcsdom A) (tptp.k9_funcsdom A))))) true true true (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (= (tptp.k2_group_1 (tptp.k12_funcsdom A)) (tptp.k10_funcsdom A)))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 (tptp.k12_funcsdom A))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 (tptp.k12_funcsdom A))) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k12_funcsdom A))) (let ((_let_2 (tptp.k1_group_1 _let_1 C B))) (let ((_let_3 (tptp.k2_rlvect_1 _let_1 C D))) (let ((_let_4 (tptp.k1_group_1 _let_1 B C))) (let ((_let_5 (tptp.k2_group_1 _let_1))) (let ((_let_6 (tptp.k2_rlvect_1 _let_1 B C))) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 _let_1)) (and (= _let_6 (tptp.k2_rlvect_1 _let_1 C B)) (= (tptp.k2_rlvect_1 _let_1 _let_6 D) (tptp.k2_rlvect_1 _let_1 B _let_3)) (= (tptp.k2_rlvect_1 _let_1 B (tptp.k1_rlvect_1 _let_1)) B) (exists ((E $$unsorted)) (let ((_let_1 (tptp.k12_funcsdom A))) (and (tptp.m1_subset_1 E (tptp.u1_struct_0 _let_1)) (= (tptp.k2_rlvect_1 _let_1 B E) (tptp.k1_rlvect_1 _let_1))))) (= _let_4 _let_2) (= (tptp.k1_group_1 _let_1 _let_4 D) (tptp.k1_group_1 _let_1 B (tptp.k1_group_1 _let_1 C D))) (= (tptp.k1_group_1 _let_1 B _let_5) B) (= (tptp.k1_group_1 _let_1 _let_5 B) B) (= (tptp.k1_group_1 _let_1 B _let_3) (tptp.k2_rlvect_1 _let_1 _let_4 (tptp.k1_group_1 _let_1 B D))) (= (tptp.k1_group_1 _let_1 _let_3 B) (tptp.k2_rlvect_1 _let_1 _let_2 (tptp.k1_group_1 _let_1 D B)))))))))))))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k12_funcsdom A))) (=> (not (tptp.v1_xboole_0 A)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v3_rlvect_1 _let_1) (tptp.v4_rlvect_1 _let_1) (tptp.v5_rlvect_1 _let_1) (tptp.v6_rlvect_1 _let_1) (tptp.v4_group_1 _let_1) (tptp.v7_group_1 _let_1) (tptp.v6_vectsp_1 _let_1) (tptp.v7_vectsp_1 _let_1) (tptp.v8_vectsp_1 _let_1) (tptp.l3_vectsp_1 _let_1))))) true true true true true true (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (= (tptp.k13_funcsdom A) (tptp.g1_funcsdom (tptp.k1_fraenkel A tptp.k1_numbers) (tptp.k7_funcsdom A) (tptp.k6_funcsdom A) (tptp.k8_funcsdom A) (tptp.k10_funcsdom A) (tptp.k9_funcsdom A))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (= (tptp.k2_group_1 (tptp.k13_funcsdom A)) (tptp.k10_funcsdom A)))) true true true true (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 (tptp.k13_funcsdom A))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 (tptp.k13_funcsdom A))) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 (tptp.k13_funcsdom A))) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E tptp.k1_numbers) (forall ((F $$unsorted)) (let ((_let_1 (tptp.k13_funcsdom A))) (let ((_let_2 (tptp.k3_rlvect_1 _let_1 B F))) (let ((_let_3 (tptp.k3_rlvect_1 _let_1 B E))) (let ((_let_4 (tptp.k2_rlvect_1 _let_1 B C))) (let ((_let_5 (tptp.k1_group_1 _let_1 B C))) (let ((_let_6 (tptp.k2_rlvect_1 _let_1 C D))) (=> (tptp.m1_subset_1 F tptp.k1_numbers) (and (= _let_4 (tptp.k2_rlvect_1 _let_1 C B)) (= (tptp.k2_rlvect_1 _let_1 _let_4 D) (tptp.k2_rlvect_1 _let_1 B _let_6)) (= (tptp.k2_rlvect_1 _let_1 B (tptp.k1_rlvect_1 _let_1)) B) (exists ((G $$unsorted)) (let ((_let_1 (tptp.k13_funcsdom A))) (and (tptp.m1_subset_1 G (tptp.u1_struct_0 _let_1)) (= (tptp.k2_rlvect_1 _let_1 B G) (tptp.k1_rlvect_1 _let_1))))) (= _let_5 (tptp.k1_group_1 _let_1 C B)) (= (tptp.k1_group_1 _let_1 _let_5 D) (tptp.k1_group_1 _let_1 B (tptp.k1_group_1 _let_1 C D))) (= (tptp.k1_group_1 _let_1 B (tptp.k2_group_1 _let_1)) B) (= (tptp.k1_group_1 _let_1 B _let_6) (tptp.k2_rlvect_1 _let_1 _let_5 (tptp.k1_group_1 _let_1 B D))) (= (tptp.k3_rlvect_1 _let_1 _let_5 E) (tptp.k1_group_1 _let_1 _let_3 C)) (= (tptp.k3_rlvect_1 _let_1 _let_4 E) (tptp.k2_rlvect_1 _let_1 _let_3 (tptp.k3_rlvect_1 _let_1 C E))) (= (tptp.k3_rlvect_1 _let_1 B (tptp.k3_real_1 E F)) (tptp.k2_rlvect_1 _let_1 _let_3 _let_2)) (= (tptp.k3_rlvect_1 _let_1 B (tptp.k4_real_1 E F)) (tptp.k3_rlvect_1 _let_1 _let_2 E))))))))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_funcsdom A)) (= (tptp.v2_funcsdom A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E tptp.k1_numbers) (forall ((F $$unsorted)) (let ((_let_1 (tptp.k3_rlvect_1 A B F))) (let ((_let_2 (tptp.k3_rlvect_1 A B E))) (let ((_let_3 (tptp.k1_group_1 A B C))) (=> (tptp.m1_subset_1 F tptp.k1_numbers) (and (= (tptp.k1_group_1 A B (tptp.k2_group_1 A)) B) (= (tptp.k1_group_1 A B (tptp.k2_rlvect_1 A C D)) (tptp.k2_rlvect_1 A _let_3 (tptp.k1_group_1 A B D))) (= (tptp.k3_rlvect_1 A _let_3 E) (tptp.k1_group_1 A _let_2 C)) (= (tptp.k3_rlvect_1 A (tptp.k2_rlvect_1 A B C) E) (tptp.k2_rlvect_1 A _let_2 (tptp.k3_rlvect_1 A C E))) (= (tptp.k3_rlvect_1 A B (tptp.k3_real_1 E F)) (tptp.k2_rlvect_1 A _let_2 _let_1)) (= (tptp.k3_rlvect_1 A B (tptp.k4_real_1 E F)) (tptp.k3_rlvect_1 A _let_1 E))))))))))))))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k13_funcsdom A))) (=> (not (tptp.v1_xboole_0 A)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v3_rlvect_1 _let_1) (tptp.v4_rlvect_1 _let_1) (tptp.v5_rlvect_1 _let_1) (tptp.v6_rlvect_1 _let_1) (tptp.v4_group_1 _let_1) (tptp.v7_group_1 _let_1) (tptp.v2_funcsdom _let_1) (tptp.l1_funcsdom _let_1))))) (forall ((A $$unsorted)) (=> (tptp.l1_funcsdom A) (and (tptp.l3_vectsp_1 A) (tptp.l2_rlvect_1 A)))) (exists ((A $$unsorted)) (tptp.l1_funcsdom A)) (forall ((A $$unsorted)) (=> (tptp.l1_funcsdom A) (=> (tptp.v1_funcsdom A) (= A (tptp.g1_funcsdom (tptp.u1_struct_0 A) (tptp.u1_group_1 A) (tptp.u1_rlvect_1 A) (tptp.u2_rlvect_1 A) (tptp.u1_vectsp_1 A) (tptp.u2_struct_0 A)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (let ((_let_1 (tptp.k1_fraenkel A B))) (let ((_let_2 (tptp.k2_zfmisc_1 _let_1 _let_1))) (=> (and (not (tptp.v1_xboole_0 A)) (not (tptp.v1_xboole_0 B)) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.m1_relset_1 C _let_2 _let_1) (tptp.m1_subset_1 D _let_1) (tptp.m1_subset_1 E _let_1)) (tptp.m2_fraenkel (tptp.k1_funcsdom A B C D E) A B _let_1))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (let ((_let_1 (tptp.k1_fraenkel A B))) (let ((_let_2 (tptp.k2_zfmisc_1 _let_1 _let_1))) (=> (and (not (tptp.v1_xboole_0 A)) (not (tptp.v1_xboole_0 B)) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.m1_relset_1 C _let_2 _let_1) (tptp.m1_subset_1 D _let_1) (tptp.m1_subset_1 E _let_1)) (= (tptp.k1_funcsdom A B C D E) (tptp.k1_binop_1 C D E)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted)) (let ((_let_1 (tptp.k1_fraenkel A B))) (let ((_let_2 (tptp.k2_zfmisc_1 C D))) (=> (and (not (tptp.v1_xboole_0 A)) (not (tptp.v1_xboole_0 B)) (not (tptp.v1_xboole_0 C)) (not (tptp.v1_xboole_0 D)) (tptp.v1_funct_1 E) (tptp.v1_funct_2 E _let_2 _let_1) (tptp.m1_relset_1 E _let_2 _let_1) (tptp.m1_subset_1 F _let_2)) (tptp.m2_fraenkel (tptp.k2_funcsdom A B C D E F) A B _let_1))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 C D))) (let ((_let_2 (tptp.k1_fraenkel A B))) (=> (and (not (tptp.v1_xboole_0 A)) (not (tptp.v1_xboole_0 B)) (not (tptp.v1_xboole_0 C)) (not (tptp.v1_xboole_0 D)) (tptp.v1_funct_1 E) (tptp.v1_funct_2 E _let_1 _let_2) (tptp.m1_relset_1 E _let_1 _let_2) (tptp.m1_subset_1 F _let_1)) (= (tptp.k2_funcsdom A B C D E F) (tptp.k1_funct_1 E F)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (not (tptp.v1_xboole_0 B)) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C A B) (tptp.m1_relset_1 C A B)) (tptp.m2_fraenkel (tptp.k3_funcsdom A B C) A B (tptp.k1_fraenkel A B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A A))) (=> (and (not (tptp.v1_xboole_0 A)) (not (tptp.v1_xboole_0 B)) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_1 A) (tptp.m1_relset_1 C _let_1 A) (tptp.v1_funct_1 D) (tptp.v1_funct_2 D B A) (tptp.m1_relset_1 D B A) (tptp.v1_funct_1 E) (tptp.v1_funct_2 E B A) (tptp.m1_relset_1 E B A)) (tptp.m2_fraenkel (tptp.k4_funcsdom A B C D E) B A (tptp.k1_fraenkel B A))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A A))) (=> (and (not (tptp.v1_xboole_0 A)) (not (tptp.v1_xboole_0 B)) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_1 A) (tptp.m1_relset_1 C _let_1 A) (tptp.v1_funct_1 D) (tptp.v1_funct_2 D B A) (tptp.m1_relset_1 D B A) (tptp.v1_funct_1 E) (tptp.v1_funct_2 E B A) (tptp.m1_relset_1 E B A)) (= (tptp.k4_funcsdom A B C D E) (tptp.k3_funcop_1 C D E))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A A))) (=> (and (not (tptp.v1_xboole_0 A)) (not (tptp.v1_xboole_0 B)) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_1 A) (tptp.m1_relset_1 C _let_1 A) (tptp.m1_subset_1 D A) (tptp.v1_funct_1 E) (tptp.v1_funct_2 E B A) (tptp.m1_relset_1 E B A)) (tptp.m2_fraenkel (tptp.k5_funcsdom A B C D E) B A (tptp.k1_fraenkel B A))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A A))) (=> (and (not (tptp.v1_xboole_0 A)) (not (tptp.v1_xboole_0 B)) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_1 A) (tptp.m1_relset_1 C _let_1 A) (tptp.m1_subset_1 D A) (tptp.v1_funct_1 E) (tptp.v1_funct_2 E B A) (tptp.m1_relset_1 E B A)) (= (tptp.k5_funcsdom A B C D E) (tptp.k5_funcop_1 C D E))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k1_fraenkel A tptp.k1_numbers))) (let ((_let_2 (tptp.k2_zfmisc_1 _let_1 _let_1))) (let ((_let_3 (tptp.k6_funcsdom A))) (=> (not (tptp.v1_xboole_0 A)) (and (tptp.v1_funct_1 _let_3) (tptp.v1_funct_2 _let_3 _let_2 _let_1) (tptp.m2_relset_1 _let_3 _let_2 _let_1))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k1_fraenkel A tptp.k1_numbers))) (let ((_let_2 (tptp.k2_zfmisc_1 _let_1 _let_1))) (let ((_let_3 (tptp.k7_funcsdom A))) (=> (not (tptp.v1_xboole_0 A)) (and (tptp.v1_funct_1 _let_3) (tptp.v1_funct_2 _let_3 _let_2 _let_1) (tptp.m2_relset_1 _let_3 _let_2 _let_1))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k1_fraenkel A tptp.k1_numbers))) (let ((_let_2 (tptp.k2_zfmisc_1 tptp.k1_numbers _let_1))) (let ((_let_3 (tptp.k8_funcsdom A))) (=> (not (tptp.v1_xboole_0 A)) (and (tptp.v1_funct_1 _let_3) (tptp.v1_funct_2 _let_3 _let_2 _let_1) (tptp.m2_relset_1 _let_3 _let_2 _let_1))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (tptp.m2_fraenkel (tptp.k9_funcsdom A) A tptp.k1_numbers (tptp.k1_fraenkel A tptp.k1_numbers)))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (tptp.m2_fraenkel (tptp.k10_funcsdom A) A tptp.k1_numbers (tptp.k1_fraenkel A tptp.k1_numbers)))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k11_funcsdom A))) (=> (not (tptp.v1_xboole_0 A)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v2_rlvect_1 _let_1) (tptp.v3_rlvect_1 _let_1) (tptp.v4_rlvect_1 _let_1) (tptp.v5_rlvect_1 _let_1) (tptp.v6_rlvect_1 _let_1) (tptp.v7_rlvect_1 _let_1) (tptp.l2_rlvect_1 _let_1))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k12_funcsdom A))) (=> (not (tptp.v1_xboole_0 A)) (and (tptp.v3_vectsp_1 _let_1) (tptp.l3_vectsp_1 _let_1))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k13_funcsdom A))) (=> (not (tptp.v1_xboole_0 A)) (and (tptp.v1_funcsdom _let_1) (tptp.l1_funcsdom _let_1))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted)) (let ((_let_1 (tptp.g1_funcsdom A B C D E F))) (let ((_let_2 (tptp.k2_zfmisc_1 tptp.k1_numbers A))) (let ((_let_3 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_3 A) (tptp.m1_relset_1 B _let_3 A) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_3 A) (tptp.m1_relset_1 C _let_3 A) (tptp.v1_funct_1 D) (tptp.v1_funct_2 D _let_2 A) (tptp.m1_relset_1 D _let_2 A) (tptp.m1_subset_1 E A) (tptp.m1_subset_1 F A)) (and (tptp.v1_funcsdom _let_1) (tptp.l1_funcsdom _let_1))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 tptp.k1_numbers A))) (let ((_let_2 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_2 A) (tptp.m1_relset_1 B _let_2 A) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 A) (tptp.m1_relset_1 C _let_2 A) (tptp.v1_funct_1 D) (tptp.v1_funct_2 D _let_1 A) (tptp.m1_relset_1 D _let_1 A) (tptp.m1_subset_1 E A) (tptp.m1_subset_1 F A)) (forall ((G $$unsorted) (H $$unsorted) (I $$unsorted) (J $$unsorted) (K $$unsorted) (L $$unsorted)) (=> (= (tptp.g1_funcsdom A B C D E F) (tptp.g1_funcsdom G H I J K L)) (and (= A G) (= B H) (= C I) (= D J) (= E K) (= F L)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_group_2 B A) (tptp.v4_group_1 B))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (exists ((B $$unsorted)) (and (tptp.m1_group_2 B A) (not (tptp.v3_struct_0 B)) (tptp.v1_group_1 B) (tptp.v2_group_1 B) (tptp.v3_group_1 B) (tptp.v4_group_1 B))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.v7_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_group_2 B A) (and (tptp.v4_group_1 B) (tptp.v7_group_1 B)))))) true true (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_struct_0 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (tptp.v6_group_1 A) (tptp.v1_finset_1 B)))))) true (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_group_1 B) (tptp.v4_group_1 B) (tptp.l1_group_1 B)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B))) (= (tptp.r2_hidden A (tptp.k1_group_2 B C)) (exists ((D $$unsorted)) (and (tptp.m1_subset_1 D (tptp.u1_struct_0 B)) (= A (tptp.k3_group_1 B D)) (tptp.r2_hidden D C)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 B _let_1) (= (tptp.k1_group_2 A (tptp.k6_domain_1 _let_1 B)) (tptp.k6_domain_1 _let_1 (tptp.k3_group_1 A B)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 C _let_1) (= (tptp.k1_group_2 A (tptp.k7_domain_1 _let_1 B C)) (tptp.k7_domain_1 _let_1 (tptp.k3_group_1 A B) (tptp.k3_group_1 A C)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (= (tptp.k1_group_2 A (tptp.k1_subset_1 (tptp.u1_struct_0 A))) tptp.k1_xboole_0))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (= (tptp.k1_group_2 A (tptp.k2_subset_1 _let_1)) _let_1)))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (= B tptp.k1_xboole_0))) (let ((_let_2 (= (tptp.k1_group_2 A B) tptp.k1_xboole_0))) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (and (not (and (not _let_1) _let_2)) (not (and (not _let_2) _let_1))))))))) true (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.l1_group_1 B)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B))) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B))) (= (tptp.r2_hidden A (tptp.k2_group_2 B C D)) (exists ((E $$unsorted)) (and (tptp.m1_subset_1 E (tptp.u1_struct_0 B)) (exists ((F $$unsorted)) (and (tptp.m1_subset_1 F (tptp.u1_struct_0 B)) (= A (tptp.k1_group_1 B E F)) (tptp.r2_hidden E C) (tptp.r2_hidden F D)))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (and (not (= B tptp.k1_xboole_0)) (not (= C tptp.k1_xboole_0))) (not (= (tptp.k2_group_2 A B C) tptp.k1_xboole_0))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (tptp.v4_group_1 A) (= (tptp.k2_group_2 A (tptp.k2_group_2 A B C) D) (tptp.k2_group_2 A B (tptp.k2_group_2 A C D)))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (tptp.k1_group_2 A (tptp.k2_group_2 A B C)) (tptp.k2_group_2 A (tptp.k1_group_2 A C) (tptp.k1_group_2 A B))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (=> (tptp.m1_subset_1 D _let_1) (= (tptp.k2_group_2 A B (tptp.k1_finsub_1 _let_1 C D)) (tptp.k1_finsub_1 _let_1 (tptp.k2_group_2 A B C) (tptp.k2_group_2 A B D)))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (=> (tptp.m1_subset_1 D _let_1) (= (tptp.k2_group_2 A (tptp.k1_finsub_1 _let_1 B C) D) (tptp.k1_finsub_1 _let_1 (tptp.k2_group_2 A B D) (tptp.k2_group_2 A C D)))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (=> (tptp.m1_subset_1 D _let_1) (tptp.r1_tarski (tptp.k2_group_2 A B (tptp.k3_finsub_1 _let_1 C D)) (tptp.k3_finsub_1 _let_1 (tptp.k2_group_2 A B C) (tptp.k2_group_2 A B D)))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (=> (tptp.m1_subset_1 D _let_1) (tptp.r1_tarski (tptp.k2_group_2 A (tptp.k3_finsub_1 _let_1 B C) D) (tptp.k3_finsub_1 _let_1 (tptp.k2_group_2 A B D) (tptp.k2_group_2 A C D)))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.k1_subset_1 _let_1))) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 _let_1)) (and (= (tptp.k2_group_2 A _let_2 B) tptp.k1_xboole_0) (= (tptp.k2_group_2 A B _let_2) tptp.k1_xboole_0)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.k2_subset_1 _let_1))) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 _let_1)) (=> (not (= B tptp.k1_xboole_0)) (and (= (tptp.k2_group_2 A _let_2 B) _let_1) (= (tptp.k2_group_2 A B _let_2) _let_1))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 C _let_1) (= (tptp.k2_group_2 A (tptp.k6_domain_1 _let_1 B) (tptp.k6_domain_1 _let_1 C)) (tptp.k6_domain_1 _let_1 (tptp.k1_group_1 A B C)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 D _let_1) (= (tptp.k2_group_2 A (tptp.k6_domain_1 _let_1 B) (tptp.k7_domain_1 _let_1 C D)) (tptp.k7_domain_1 _let_1 (tptp.k1_group_1 A B C) (tptp.k1_group_1 A B D)))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 D _let_1) (= (tptp.k2_group_2 A (tptp.k7_domain_1 _let_1 B C) (tptp.k6_domain_1 _let_1 D)) (tptp.k7_domain_1 _let_1 (tptp.k1_group_1 A B D) (tptp.k1_group_1 A C D)))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (forall ((E $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 E _let_1) (= (tptp.k2_group_2 A (tptp.k7_domain_1 _let_1 B C) (tptp.k7_domain_1 _let_1 D E)) (tptp.k9_domain_1 _let_1 (tptp.k1_group_1 A B D) (tptp.k1_group_1 A B E) (tptp.k1_group_1 A C D) (tptp.k1_group_1 A C E)))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (and (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (=> (and (tptp.r2_hidden C B) (tptp.r2_hidden D B)) (tptp.r2_hidden (tptp.k1_group_1 A C D) B)))))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (=> (tptp.r2_hidden C B) (tptp.r2_hidden (tptp.k3_group_1 A C) B))))) (= (tptp.k2_group_2 A B B) B)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (=> (tptp.r2_hidden C B) (tptp.r2_hidden (tptp.k3_group_1 A C) B)))) (= (tptp.k1_group_2 A B) B)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.u1_struct_0 A)) (=> (and (tptp.r2_hidden D B) (tptp.r2_hidden E C)) (= (tptp.k1_group_1 A D E) (tptp.k1_group_1 A E D))))))) (= (tptp.k2_group_2 A B C) (tptp.k2_group_2 A C B))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.v7_group_1 A) (tptp.l1_group_1 A)) (= (tptp.k2_group_2 A B C) (tptp.k2_group_2 A C B))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.v7_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (tptp.k1_group_2 A (tptp.k2_group_2 A B C)) (tptp.k2_group_2 A (tptp.k1_group_2 A B) (tptp.k1_group_2 A C))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 _let_1)) (= (tptp.k3_group_2 A B C) (tptp.k2_group_2 A (tptp.k6_domain_1 _let_1 B) C))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 _let_1)) (= (tptp.k4_group_2 A B C) (tptp.k2_group_2 A C (tptp.k6_domain_1 _let_1 B)))))))))) true true (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.l1_group_1 B)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B))) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 B)) (= (tptp.r2_hidden A (tptp.k3_group_2 B D C)) (exists ((E $$unsorted)) (and (tptp.m1_subset_1 E (tptp.u1_struct_0 B)) (= A (tptp.k1_group_1 B D E)) (tptp.r2_hidden E C)))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.l1_group_1 B)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B))) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 B)) (= (tptp.r2_hidden A (tptp.k4_group_2 B D C)) (exists ((E $$unsorted)) (and (tptp.m1_subset_1 E (tptp.u1_struct_0 B)) (= A (tptp.k1_group_1 B E D)) (tptp.r2_hidden E C)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (=> (tptp.v4_group_1 A) (= (tptp.k2_group_2 A (tptp.k3_group_2 A D B) C) (tptp.k3_group_2 A D (tptp.k2_group_2 A B C)))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (=> (tptp.v4_group_1 A) (= (tptp.k2_group_2 A (tptp.k4_group_2 A D B) C) (tptp.k2_group_2 A B (tptp.k3_group_2 A D C)))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (=> (tptp.v4_group_1 A) (= (tptp.k4_group_2 A D (tptp.k2_group_2 A B C)) (tptp.k2_group_2 A B (tptp.k4_group_2 A D C)))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (=> (tptp.v4_group_1 A) (= (tptp.k3_group_2 A (tptp.k1_group_1 A C D) B) (tptp.k3_group_2 A C (tptp.k3_group_2 A D B)))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (=> (tptp.v4_group_1 A) (= (tptp.k4_group_2 A D (tptp.k3_group_2 A C B)) (tptp.k3_group_2 A C (tptp.k4_group_2 A D B)))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (=> (tptp.v4_group_1 A) (= (tptp.k4_group_2 A D (tptp.k4_group_2 A C B)) (tptp.k4_group_2 A (tptp.k1_group_1 A C D) B))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.k1_subset_1 _let_1))) (=> (tptp.m1_subset_1 B _let_1) (and (= (tptp.k4_group_2 A B _let_2) tptp.k1_xboole_0) (= (tptp.k3_group_2 A B _let_2) tptp.k1_xboole_0)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.k2_subset_1 _let_1))) (=> (tptp.m1_subset_1 B _let_1) (and (= (tptp.k4_group_2 A B _let_2) _let_1) (= (tptp.k3_group_2 A B _let_2) _let_1)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k2_group_1 A))) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (and (= (tptp.k3_group_2 A _let_1 B) B) (= (tptp.k4_group_2 A _let_1 B) B))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.v7_group_1 A) (tptp.l1_group_1 A)) (= (tptp.k3_group_2 A B C) (tptp.k4_group_2 A B C))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_group_1 B) (tptp.l1_group_1 B)) (= (tptp.m1_group_2 B A) (and (tptp.r1_tarski _let_1 (tptp.u1_struct_0 A)) (= (tptp.u1_group_1 B) (tptp.k1_realset1 (tptp.u1_group_1 A) _let_1))))))))) true true true (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_group_2 B A) (=> (tptp.v6_group_1 A) (tptp.v6_group_1 B)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_group_1 B) (tptp.l1_group_1 B)) (forall ((C $$unsorted)) (=> (tptp.m1_group_2 C B) (=> (tptp.r1_rlvect_1 C A) (tptp.r1_rlvect_1 B A)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_group_2 B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 B)) (tptp.r1_rlvect_1 A C))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_group_2 B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 B)) (tptp.m1_subset_1 C (tptp.u1_struct_0 A)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_group_2 D A) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.u1_struct_0 D)) (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F (tptp.u1_struct_0 D)) (=> (and (= E B) (= F C)) (= (tptp.k1_group_1 D E F) (tptp.k1_group_1 A B C))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_group_2 B A) (= (tptp.k2_group_1 B) (tptp.k2_group_1 A)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_group_2 B A) (forall ((C $$unsorted)) (=> (tptp.m1_group_2 C A) (= (tptp.k2_group_1 B) (tptp.k2_group_1 C)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_group_2 B A) (tptp.r1_rlvect_1 B (tptp.k2_group_1 A)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_group_2 B A) (forall ((C $$unsorted)) (=> (tptp.m1_group_2 C A) (tptp.r1_rlvect_1 C (tptp.k2_group_1 B)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_group_2 C A) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 C)) (=> (= D B) (= (tptp.k3_group_1 C D) (tptp.k3_group_1 A B))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_group_2 B A) (= (tptp.k4_group_1 B) (tptp.k8_relset_1 _let_1 _let_1 (tptp.k4_group_1 A) (tptp.u1_struct_0 B)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_group_2 D A) (=> (and (tptp.r1_rlvect_1 D B) (tptp.r1_rlvect_1 D C)) (tptp.r1_rlvect_1 D (tptp.k1_group_1 A B C))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_group_2 C A) (=> (tptp.r1_rlvect_1 C B) (tptp.r1_rlvect_1 C (tptp.k3_group_1 A B))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (not (and (not (= B tptp.k1_xboole_0)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (=> (and (tptp.r2_hidden C B) (tptp.r2_hidden D B)) (tptp.r2_hidden (tptp.k1_group_1 A C D) B)))))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (=> (tptp.r2_hidden C B) (tptp.r2_hidden (tptp.k3_group_1 A C) B)))) (forall ((C $$unsorted)) (=> (and (tptp.v1_group_1 C) (tptp.m1_group_2 C A)) (not (= (tptp.u1_struct_0 C) B)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_group_2 B A) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.v7_group_1 A) (tptp.l1_group_1 A)) (tptp.v7_group_1 B)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (tptp.m1_group_2 A A))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_group_1 B) (tptp.v4_group_1 B) (tptp.l1_group_1 B)) (=> (and (tptp.m1_group_2 A B) (tptp.m1_group_2 B A)) (= (tptp.g1_group_1 (tptp.u1_struct_0 A) (tptp.u1_group_1 A)) (tptp.g1_group_1 (tptp.u1_struct_0 B) (tptp.u1_group_1 B)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_group_1 B) (tptp.v4_group_1 B) (tptp.l1_group_1 B)) (forall ((C $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.v3_group_1 C) (tptp.v4_group_1 C) (tptp.l1_group_1 C)) (=> (and (tptp.m1_group_2 A B) (tptp.m1_group_2 B C)) (tptp.m1_group_2 A C)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_group_2 B A) (forall ((C $$unsorted)) (=> (tptp.m1_group_2 C A) (=> (tptp.r1_tarski (tptp.u1_struct_0 B) (tptp.u1_struct_0 C)) (tptp.m1_group_2 B C)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_group_2 B A) (forall ((C $$unsorted)) (=> (tptp.m1_group_2 C A) (=> (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (=> (tptp.r1_rlvect_1 B D) (tptp.r1_rlvect_1 C D)))) (tptp.m1_group_2 B C)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_group_2 B A) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 C))) (let ((_let_2 (tptp.u1_struct_0 B))) (=> (tptp.m1_group_2 C A) (=> (= _let_2 _let_1) (= (tptp.g1_group_1 _let_2 (tptp.u1_group_1 B)) (tptp.g1_group_1 _let_1 (tptp.u1_group_1 C)))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_group_2 B A) (forall ((C $$unsorted)) (=> (tptp.m1_group_2 C A) (=> (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (= (tptp.r1_rlvect_1 B D) (tptp.r1_rlvect_1 C D)))) (= (tptp.g1_group_1 (tptp.u1_struct_0 B) (tptp.u1_group_1 B)) (tptp.g1_group_1 (tptp.u1_struct_0 C) (tptp.u1_group_1 C)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_group_1 B) (tptp.m1_group_2 B A)) (forall ((C $$unsorted)) (=> (and (tptp.v1_group_1 C) (tptp.m1_group_2 C A)) (= (tptp.r1_group_2 A B C) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (= (tptp.r1_rlvect_1 B D) (tptp.r1_rlvect_1 C D))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v1_group_1 A) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_group_1 B) (tptp.m1_group_2 B A)) (=> (= (tptp.u1_struct_0 B) (tptp.u1_struct_0 A)) (= B A)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_group_2 B A) (=> (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (tptp.r1_rlvect_1 B C))) (= (tptp.g1_group_1 (tptp.u1_struct_0 B) (tptp.u1_group_1 B)) (tptp.g1_group_1 (tptp.u1_struct_0 A) (tptp.u1_group_1 A)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_group_1 B) (tptp.m1_group_2 B A)) (= (= B (tptp.k5_group_2 A)) (= (tptp.u1_struct_0 B) (tptp.k6_domain_1 (tptp.u1_struct_0 A) (tptp.k2_group_1 A)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (= (tptp.k6_group_2 A) (tptp.g1_group_1 (tptp.u1_struct_0 A) (tptp.u1_group_1 A))))) true true true (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_group_2 B A) (= (tptp.k5_group_2 B) (tptp.k5_group_2 A)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_group_2 B A) (forall ((C $$unsorted)) (=> (tptp.m1_group_2 C A) (= (tptp.k5_group_2 B) (tptp.k5_group_2 C)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_group_2 B A) (tptp.m1_group_2 (tptp.k5_group_2 A) B))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v1_group_1 A) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_group_2 B A) (tptp.m1_group_2 B (tptp.k6_group_2 A)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v1_group_1 A) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (tptp.m1_group_2 A (tptp.k6_group_2 A)))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (tptp.v6_group_1 (tptp.k5_group_2 A)))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (= (tptp.k9_group_1 (tptp.k5_group_2 A)) tptp.np__1))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_group_1 B) (tptp.m1_group_2 B A)) (=> (and (tptp.v6_group_1 B) (= (tptp.k9_group_1 B) tptp.np__1)) (tptp.r1_group_2 A B (tptp.k5_group_2 A))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_group_2 B A) (tptp.r1_tarski (tptp.k8_group_1 B) (tptp.k8_group_1 A)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_group_2 B A) (=> (tptp.v6_group_1 A) (tptp.r1_xreal_0 (tptp.k9_group_1 B) (tptp.k9_group_1 A))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v1_group_1 A) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_group_1 B) (tptp.m1_group_2 B A)) (=> (and (tptp.v6_group_1 A) (= (tptp.k9_group_1 A) (tptp.k9_group_1 B))) (= B A)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_group_2 B A) (= (tptp.k7_group_2 A B) (tptp.u1_struct_0 B)))))) true (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_group_2 B A) (not (= (tptp.k7_group_2 A B) tptp.k1_xboole_0)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_group_1 B) (tptp.v4_group_1 B) (tptp.l1_group_1 B)) (forall ((C $$unsorted)) (=> (tptp.m1_group_2 C B) (= (tptp.r2_hidden A (tptp.k7_group_2 B C)) (tptp.r1_rlvect_1 C A)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k7_group_2 A D))) (=> (tptp.m1_group_2 D A) (=> (and (tptp.r2_hidden B _let_1) (tptp.r2_hidden C _let_1)) (tptp.r2_hidden (tptp.k1_group_1 A B C) _let_1))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k7_group_2 A C))) (=> (tptp.m1_group_2 C A) (=> (tptp.r2_hidden B _let_1) (tptp.r2_hidden (tptp.k3_group_1 A B) _let_1))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k7_group_2 A B))) (=> (tptp.m1_group_2 B A) (= (tptp.k2_group_2 A _let_1 _let_1) _let_1)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k7_group_2 A B))) (=> (tptp.m1_group_2 B A) (= (tptp.k1_group_2 A _let_1) _let_1)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_group_2 B A) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k7_group_2 A B))) (let ((_let_2 (tptp.k7_group_2 A C))) (let ((_let_3 (= (tptp.k2_group_2 A _let_1 _let_2) (tptp.k2_group_2 A _let_2 _let_1)))) (=> (tptp.m1_group_2 C A) (and (not (and _let_3 (forall ((D $$unsorted)) (=> (and (tptp.v1_group_1 D) (tptp.m1_group_2 D A)) (not (= (tptp.u1_struct_0 D) (tptp.k2_group_2 A (tptp.k7_group_2 A B) (tptp.k7_group_2 A C)))))))) (=> (exists ((D $$unsorted)) (and (tptp.m1_group_2 D A) (= (tptp.u1_struct_0 D) (tptp.k2_group_2 A (tptp.k7_group_2 A B) (tptp.k7_group_2 A C))))) _let_3))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_group_2 B A) (forall ((C $$unsorted)) (=> (tptp.m1_group_2 C A) (not (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.v7_group_1 A) (tptp.l1_group_1 A) (forall ((D $$unsorted)) (=> (and (tptp.v1_group_1 D) (tptp.m1_group_2 D A)) (not (= (tptp.u1_struct_0 D) (tptp.k2_group_2 A (tptp.k7_group_2 A B) (tptp.k7_group_2 A C)))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_group_2 B A) (forall ((C $$unsorted)) (=> (tptp.m1_group_2 C A) (forall ((D $$unsorted)) (=> (and (tptp.v1_group_1 D) (tptp.m1_group_2 D A)) (= (= D (tptp.k8_group_2 A B C)) (= (tptp.u1_struct_0 D) (tptp.k3_finsub_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)) (tptp.k7_group_2 A B) (tptp.k7_group_2 A C)))))))))))) true true (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_group_2 B A) (forall ((C $$unsorted)) (=> (tptp.m1_group_2 C A) (and (forall ((D $$unsorted)) (=> (tptp.m1_group_2 D A) (=> (= D (tptp.k8_group_2 A B C)) (= (tptp.u1_struct_0 D) (tptp.k3_xboole_0 (tptp.u1_struct_0 B) (tptp.u1_struct_0 C)))))) (forall ((D $$unsorted)) (=> (and (tptp.v1_group_1 D) (tptp.m1_group_2 D A)) (=> (= (tptp.u1_struct_0 D) (tptp.k3_xboole_0 (tptp.u1_struct_0 B) (tptp.u1_struct_0 C))) (tptp.r1_group_2 A D (tptp.k8_group_2 A B C)))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_group_2 B A) (forall ((C $$unsorted)) (=> (tptp.m1_group_2 C A) (= (tptp.k7_group_2 A (tptp.k8_group_2 A B C)) (tptp.k3_finsub_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)) (tptp.k7_group_2 A B) (tptp.k7_group_2 A C))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_group_1 B) (tptp.v4_group_1 B) (tptp.l1_group_1 B)) (forall ((C $$unsorted)) (=> (tptp.m1_group_2 C B) (forall ((D $$unsorted)) (=> (tptp.m1_group_2 D B) (= (tptp.r1_rlvect_1 (tptp.k8_group_2 B C D) A) (and (tptp.r1_rlvect_1 C A) (tptp.r1_rlvect_1 D A))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_group_1 B) (tptp.m1_group_2 B A)) (tptp.r1_group_2 A (tptp.k8_group_2 A B B) B))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_group_2 B A) (forall ((C $$unsorted)) (=> (tptp.m1_group_2 C A) (tptp.r1_group_2 A (tptp.k8_group_2 A B C) (tptp.k8_group_2 A C B)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_group_2 B A) (forall ((C $$unsorted)) (=> (tptp.m1_group_2 C A) (forall ((D $$unsorted)) (=> (tptp.m1_group_2 D A) (tptp.r1_group_2 A (tptp.k9_group_2 A (tptp.k9_group_2 A B C) D) (tptp.k9_group_2 A B (tptp.k9_group_2 A C D))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k5_group_2 A))) (=> (tptp.m1_group_2 B A) (and (tptp.r1_group_2 A (tptp.k9_group_2 A _let_1 B) _let_1) (tptp.r1_group_2 A (tptp.k9_group_2 A B _let_1) _let_1))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v1_group_1 A) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k6_group_2 A))) (=> (and (tptp.v1_group_1 B) (tptp.m1_group_2 B A)) (and (tptp.r1_group_2 A (tptp.k9_group_2 A B _let_1) B) (tptp.r1_group_2 A (tptp.k9_group_2 A _let_1 B) B))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k6_group_2 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v1_group_1 A) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (= (tptp.k9_group_2 A _let_1 _let_1) A)))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_group_2 B A) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k9_group_2 A B C))) (=> (tptp.m1_group_2 C A) (and (tptp.m1_group_2 _let_1 B) (tptp.m1_group_2 _let_1 C))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_group_2 B A) (forall ((C $$unsorted)) (=> (and (tptp.v1_group_1 C) (tptp.m1_group_2 C A)) (= (tptp.m1_group_2 C B) (tptp.r1_group_2 A (tptp.k9_group_2 A C B) C)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_group_2 B A) (forall ((C $$unsorted)) (=> (tptp.m1_group_2 C A) (forall ((D $$unsorted)) (=> (tptp.m1_group_2 D A) (=> (tptp.m1_group_2 B C) (tptp.m1_group_2 (tptp.k9_group_2 A B D) C)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_group_2 B A) (forall ((C $$unsorted)) (=> (tptp.m1_group_2 C A) (forall ((D $$unsorted)) (=> (tptp.m1_group_2 D A) (=> (and (tptp.m1_group_2 B C) (tptp.m1_group_2 B D)) (tptp.m1_group_2 B (tptp.k9_group_2 A C D))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_group_2 B A) (forall ((C $$unsorted)) (=> (tptp.m1_group_2 C A) (forall ((D $$unsorted)) (=> (tptp.m1_group_2 D A) (=> (tptp.m1_group_2 B C) (tptp.m1_group_2 (tptp.k9_group_2 A B D) (tptp.k9_group_2 A C D))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_group_2 B A) (forall ((C $$unsorted)) (=> (tptp.m1_group_2 C A) (=> (or (tptp.v6_group_1 B) (tptp.v6_group_1 C)) (tptp.v6_group_1 (tptp.k9_group_2 A B C))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_group_2 B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (tptp.k10_group_2 A B C) (tptp.k2_group_2 A C (tptp.k7_group_2 A B))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_group_2 B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (tptp.k11_group_2 A B C) (tptp.k2_group_2 A (tptp.k7_group_2 A B) C)))))))) true true (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_group_1 B) (tptp.v4_group_1 B) (tptp.l1_group_1 B)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B))) (forall ((D $$unsorted)) (=> (tptp.m1_group_2 D B) (= (tptp.r2_hidden A (tptp.k10_group_2 B D C)) (exists ((E $$unsorted)) (and (tptp.m1_subset_1 E (tptp.u1_struct_0 B)) (exists ((F $$unsorted)) (and (tptp.m1_subset_1 F (tptp.u1_struct_0 B)) (= A (tptp.k1_group_1 B E F)) (tptp.r2_hidden E C) (tptp.r1_rlvect_1 D F)))))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_group_1 B) (tptp.v4_group_1 B) (tptp.l1_group_1 B)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B))) (forall ((D $$unsorted)) (=> (tptp.m1_group_2 D B) (= (tptp.r2_hidden A (tptp.k11_group_2 B D C)) (exists ((E $$unsorted)) (and (tptp.m1_subset_1 E (tptp.u1_struct_0 B)) (exists ((F $$unsorted)) (and (tptp.m1_subset_1 F (tptp.u1_struct_0 B)) (= A (tptp.k1_group_1 B E F)) (tptp.r1_rlvect_1 D E) (tptp.r2_hidden F C)))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((D $$unsorted)) (=> (tptp.m1_group_2 D A) (= (tptp.k10_group_2 A D (tptp.k2_group_2 A B C)) (tptp.k2_group_2 A B (tptp.k10_group_2 A D C))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((D $$unsorted)) (=> (tptp.m1_group_2 D A) (= (tptp.k2_group_2 A (tptp.k10_group_2 A D B) C) (tptp.k2_group_2 A B (tptp.k11_group_2 A D C))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((D $$unsorted)) (=> (tptp.m1_group_2 D A) (= (tptp.k2_group_2 A (tptp.k11_group_2 A D B) C) (tptp.k11_group_2 A D (tptp.k2_group_2 A B C))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (=> (tptp.m1_group_2 C A) (forall ((D $$unsorted)) (=> (tptp.m1_group_2 D A) (= (tptp.k10_group_2 A D (tptp.k10_group_2 A C B)) (tptp.k2_group_2 A B (tptp.k11_group_2 A C (tptp.k7_group_2 A D)))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (=> (tptp.m1_group_2 C A) (forall ((D $$unsorted)) (=> (tptp.m1_group_2 D A) (= (tptp.k10_group_2 A D (tptp.k11_group_2 A C B)) (tptp.k11_group_2 A C (tptp.k10_group_2 A D B))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (=> (tptp.m1_group_2 C A) (forall ((D $$unsorted)) (=> (tptp.m1_group_2 D A) (= (tptp.k2_group_2 A (tptp.k11_group_2 A C (tptp.k7_group_2 A D)) B) (tptp.k11_group_2 A C (tptp.k11_group_2 A D B))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (=> (tptp.m1_group_2 C A) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.v7_group_1 A) (tptp.l1_group_1 A)) (= (tptp.k10_group_2 A C B) (tptp.k11_group_2 A C B))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_group_2 B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (tptp.k12_group_2 A B C) (tptp.k3_group_2 A C (tptp.k7_group_2 A B))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_group_2 B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (tptp.k13_group_2 A B C) (tptp.k4_group_2 A C (tptp.k7_group_2 A B))))))))) true true (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_group_1 B) (tptp.v4_group_1 B) (tptp.l1_group_1 B)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 B)) (forall ((D $$unsorted)) (=> (tptp.m1_group_2 D B) (= (tptp.r2_hidden A (tptp.k12_group_2 B D C)) (exists ((E $$unsorted)) (and (tptp.m1_subset_1 E (tptp.u1_struct_0 B)) (= A (tptp.k1_group_1 B C E)) (tptp.r1_rlvect_1 D E)))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_group_1 B) (tptp.v4_group_1 B) (tptp.l1_group_1 B)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 B)) (forall ((D $$unsorted)) (=> (tptp.m1_group_2 D B) (= (tptp.r2_hidden A (tptp.k13_group_2 B D C)) (exists ((E $$unsorted)) (and (tptp.m1_subset_1 E (tptp.u1_struct_0 B)) (= A (tptp.k1_group_1 B E C)) (tptp.r1_rlvect_1 D E)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_group_2 D A) (= (tptp.k12_group_2 A D (tptp.k1_group_1 A B C)) (tptp.k3_group_2 A B (tptp.k12_group_2 A D C))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_group_2 D A) (= (tptp.k4_group_2 A C (tptp.k12_group_2 A D B)) (tptp.k3_group_2 A B (tptp.k13_group_2 A D C))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_group_2 D A) (= (tptp.k4_group_2 A C (tptp.k13_group_2 A D B)) (tptp.k13_group_2 A D (tptp.k1_group_1 A B C))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_group_2 C A) (and (tptp.r2_hidden B (tptp.k12_group_2 A C B)) (tptp.r2_hidden B (tptp.k13_group_2 A C B))))))))) true (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k7_group_2 A B))) (let ((_let_2 (tptp.k2_group_1 A))) (=> (tptp.m1_group_2 B A) (and (= (tptp.k12_group_2 A B _let_2) _let_1) (= (tptp.k13_group_2 A B _let_2) _let_1)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.k6_domain_1 _let_1 B))) (let ((_let_3 (tptp.k5_group_2 A))) (=> (tptp.m1_subset_1 B _let_1) (and (= (tptp.k13_group_2 A _let_3 B) _let_2) (= (tptp.k12_group_2 A _let_3 B) _let_2))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.k6_group_2 A))) (=> (tptp.m1_subset_1 B _let_1) (and (= (tptp.k12_group_2 A _let_2 B) _let_1) (= (tptp.k13_group_2 A _let_2 B) _let_1)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_group_2 C A) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.v7_group_1 A) (tptp.l1_group_1 A)) (= (tptp.k12_group_2 A C B) (tptp.k13_group_2 A C B))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_group_2 C A) (= (tptp.r1_rlvect_1 C B) (= (tptp.k12_group_2 A C B) (tptp.k7_group_2 A C))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_group_2 D A) (= (= (tptp.k12_group_2 A D B) (tptp.k12_group_2 A D C)) (tptp.r1_rlvect_1 D (tptp.k1_group_1 A (tptp.k3_group_1 A C) B))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k12_group_2 A D C))) (let ((_let_2 (tptp.k12_group_2 A D B))) (=> (tptp.m1_group_2 D A) (= (= _let_2 _let_1) (not (tptp.r1_xboole_0 _let_2 _let_1))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_group_2 D A) (tptp.r1_tarski (tptp.k12_group_2 A D (tptp.k1_group_1 A B C)) (tptp.k2_group_2 A (tptp.k12_group_2 A D B) (tptp.k12_group_2 A D C))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k12_group_2 A C B))) (let ((_let_2 (tptp.k12_group_2 A C (tptp.k3_group_1 A B)))) (let ((_let_3 (tptp.k7_group_2 A C))) (=> (tptp.m1_group_2 C A) (and (tptp.r1_tarski _let_3 (tptp.k2_group_2 A _let_1 _let_2)) (tptp.r1_tarski _let_3 (tptp.k2_group_2 A _let_2 _let_1)))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k12_group_2 A C B))) (=> (tptp.m1_group_2 C A) (tptp.r1_tarski (tptp.k12_group_2 A C (tptp.k6_group_1 A tptp.np__2 B)) (tptp.k2_group_2 A _let_1 _let_1))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_group_2 C A) (= (tptp.r1_rlvect_1 C B) (= (tptp.k13_group_2 A C B) (tptp.k7_group_2 A C))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_group_2 D A) (= (= (tptp.k13_group_2 A D B) (tptp.k13_group_2 A D C)) (tptp.r1_rlvect_1 D (tptp.k1_group_1 A C (tptp.k3_group_1 A B)))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k13_group_2 A D C))) (let ((_let_2 (tptp.k13_group_2 A D B))) (=> (tptp.m1_group_2 D A) (= (= _let_2 _let_1) (not (tptp.r1_xboole_0 _let_2 _let_1))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k13_group_2 A D B))) (=> (tptp.m1_group_2 D A) (tptp.r1_tarski (tptp.k4_group_2 A C _let_1) (tptp.k2_group_2 A _let_1 (tptp.k13_group_2 A D C)))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k13_group_2 A C B))) (let ((_let_2 (tptp.k13_group_2 A C (tptp.k3_group_1 A B)))) (let ((_let_3 (tptp.k7_group_2 A C))) (=> (tptp.m1_group_2 C A) (and (tptp.r1_tarski _let_3 (tptp.k2_group_2 A _let_1 _let_2)) (tptp.r1_tarski _let_3 (tptp.k2_group_2 A _let_2 _let_1)))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k13_group_2 A C B))) (=> (tptp.m1_group_2 C A) (tptp.r1_tarski (tptp.k13_group_2 A C (tptp.k6_group_1 A tptp.np__2 B)) (tptp.k2_group_2 A _let_1 _let_1))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_group_2 C A) (forall ((D $$unsorted)) (=> (tptp.m1_group_2 D A) (= (tptp.k12_group_2 A (tptp.k9_group_2 A C D) B) (tptp.k3_finsub_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)) (tptp.k12_group_2 A C B) (tptp.k12_group_2 A D B))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_group_2 C A) (forall ((D $$unsorted)) (=> (tptp.m1_group_2 D A) (= (tptp.k13_group_2 A (tptp.k9_group_2 A C D) B) (tptp.k3_finsub_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)) (tptp.k13_group_2 A C B) (tptp.k13_group_2 A D B))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_group_2 C A) (exists ((D $$unsorted)) (and (tptp.v1_group_1 D) (tptp.m1_group_2 D A) (= (tptp.u1_struct_0 D) (tptp.k4_group_2 A (tptp.k3_group_1 A B) (tptp.k12_group_2 A C B))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_group_2 D A) (tptp.r2_wellord2 (tptp.k12_group_2 A D B) (tptp.k12_group_2 A D C)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_group_2 D A) (tptp.r2_wellord2 (tptp.k12_group_2 A D B) (tptp.k13_group_2 A D C)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_group_2 D A) (tptp.r2_wellord2 (tptp.k13_group_2 A D B) (tptp.k13_group_2 A D C)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k7_group_2 A C))) (=> (tptp.m1_group_2 C A) (and (tptp.r2_wellord2 _let_1 (tptp.k12_group_2 A C B)) (tptp.r2_wellord2 _let_1 (tptp.k13_group_2 A C B)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k8_group_1 C))) (=> (tptp.m1_group_2 C A) (and (= _let_1 (tptp.k1_card_1 (tptp.k12_group_2 A C B))) (= _let_1 (tptp.k1_card_1 (tptp.k13_group_2 A C B))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_group_2 C A) (not (and (tptp.v6_group_1 C) (forall ((D $$unsorted)) (=> (tptp.v1_finset_1 D) (forall ((E $$unsorted)) (let ((_let_1 (tptp.k9_group_1 C))) (=> (tptp.v1_finset_1 E) (not (and (= D (tptp.k12_group_2 A C B)) (= E (tptp.k13_group_2 A C B)) (= _let_1 (tptp.k4_card_1 D)) (= _let_1 (tptp.k4_card_1 E))))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_group_2 B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (= (= C (tptp.k14_group_2 A B)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (tptp.r2_hidden D C) (exists ((E $$unsorted)) (and (tptp.m1_subset_1 E (tptp.u1_struct_0 A)) (= D (tptp.k12_group_2 A B E)))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_group_2 B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (= (= C (tptp.k15_group_2 A B)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (tptp.r2_hidden D C) (exists ((E $$unsorted)) (and (tptp.m1_subset_1 E (tptp.u1_struct_0 A)) (= D (tptp.k13_group_2 A B E)))))))))))))) true true true true true true true (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_group_2 B A) (=> (tptp.v6_group_1 A) (and (tptp.v1_finset_1 (tptp.k15_group_2 A B)) (tptp.v1_finset_1 (tptp.k14_group_2 A B)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k7_group_2 A B))) (=> (tptp.m1_group_2 B A) (and (tptp.r2_hidden _let_1 (tptp.k14_group_2 A B)) (tptp.r2_hidden _let_1 (tptp.k15_group_2 A B)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_group_2 B A) (tptp.r2_wellord2 (tptp.k14_group_2 A B) (tptp.k15_group_2 A B)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_group_2 B A) (and (= (tptp.k5_setfam_1 _let_1 (tptp.k14_group_2 A B)) _let_1) (= (tptp.k5_setfam_1 _let_1 (tptp.k15_group_2 A B)) _let_1))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k1_tarski (tptp.u1_struct_0 A)))) (let ((_let_2 (tptp.k6_group_2 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (and (= (tptp.k14_group_2 A _let_2) _let_1) (= (tptp.k15_group_2 A _let_2) _let_1)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v1_group_1 A) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_group_1 B) (tptp.m1_group_2 B A)) (=> (= (tptp.k14_group_2 A B) (tptp.k1_tarski (tptp.u1_struct_0 A))) (= B A)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v1_group_1 A) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_group_1 B) (tptp.m1_group_2 B A)) (=> (= (tptp.k15_group_2 A B) (tptp.k1_tarski (tptp.u1_struct_0 A))) (= B A)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_group_2 B A) (= (tptp.k16_group_2 A B) (tptp.k1_card_1 (tptp.k14_group_2 A B))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k16_group_2 A B))) (=> (tptp.m1_group_2 B A) (and (= _let_1 (tptp.k1_card_1 (tptp.k14_group_2 A B))) (= _let_1 (tptp.k1_card_1 (tptp.k15_group_2 A B))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_group_2 B A) (=> (tptp.v1_finset_1 (tptp.k14_group_2 A B)) (forall ((C $$unsorted)) (=> (tptp.m2_subset_1 C tptp.k1_numbers tptp.k5_numbers) (= (= C (tptp.k17_group_2 A B)) (exists ((D $$unsorted)) (and (tptp.v1_finset_1 D) (= D (tptp.k14_group_2 A B)) (= C (tptp.k4_card_1 D)))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_group_2 B A) (=> (tptp.v1_finset_1 (tptp.k14_group_2 A B)) (and (exists ((C $$unsorted)) (and (tptp.v1_finset_1 C) (= C (tptp.k14_group_2 A B)) (= (tptp.k17_group_2 A B) (tptp.k4_card_1 C)))) (exists ((C $$unsorted)) (and (tptp.v1_finset_1 C) (= C (tptp.k15_group_2 A B)) (= (tptp.k17_group_2 A B) (tptp.k4_card_1 C)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_group_2 B A) (=> (tptp.v6_group_1 A) (= (tptp.k9_group_1 A) (tptp.k2_nat_1 (tptp.k9_group_1 B) (tptp.k17_group_2 A B)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_group_2 B A) (=> (tptp.v6_group_1 A) (tptp.r1_nat_1 (tptp.k9_group_1 B) (tptp.k9_group_1 A))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_group_2 B A) (forall ((C $$unsorted)) (=> (tptp.m1_group_2 C A) (forall ((D $$unsorted)) (=> (tptp.m1_group_2 D C) (=> (and (tptp.v6_group_1 A) (= B D)) (= (tptp.k17_group_2 A B) (tptp.k2_nat_1 (tptp.k17_group_2 C D) (tptp.k17_group_2 A C)))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (= (tptp.k17_group_2 A (tptp.k6_group_2 A)) tptp.np__1))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v1_group_1 A) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_group_1 B) (tptp.m1_group_2 B A)) (=> (and (tptp.v1_finset_1 (tptp.k14_group_2 A B)) (= (tptp.k17_group_2 A B) tptp.np__1)) (= B A)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (= (tptp.k16_group_2 A (tptp.k5_group_2 A)) (tptp.k8_group_1 A)))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (=> (tptp.v6_group_1 A) (= (tptp.k17_group_2 A (tptp.k5_group_2 A)) (tptp.k9_group_1 A))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_group_1 B) (tptp.m1_group_2 B A)) (=> (and (tptp.v6_group_1 A) (= (tptp.k17_group_2 A B) (tptp.k9_group_1 A))) (tptp.r1_group_2 A B (tptp.k5_group_2 A))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_group_1 B) (tptp.m1_group_2 B A)) (=> (and (tptp.v1_finset_1 (tptp.k14_group_2 A B)) (= (tptp.k16_group_2 A B) (tptp.k8_group_1 A))) (and (tptp.v6_group_1 A) (tptp.r1_group_2 A B (tptp.k5_group_2 A)))))))) (forall ((A $$unsorted)) (=> (tptp.m2_subset_1 A tptp.k1_numbers tptp.k5_numbers) (forall ((B $$unsorted)) (=> (tptp.v1_finset_1 B) (not (and (forall ((C $$unsorted)) (not (and (tptp.r2_hidden C B) (forall ((D $$unsorted)) (=> (tptp.v1_finset_1 D) (not (and (= D C) (= (tptp.k4_card_1 D) A) (forall ((E $$unsorted)) (=> (tptp.r2_hidden E B) (or (= C E) (and (tptp.r2_wellord2 C E) (tptp.r1_xboole_0 C E)))))))))))) (forall ((C $$unsorted)) (=> (tptp.v1_finset_1 C) (not (and (= C (tptp.k3_tarski B)) (= (tptp.k4_card_1 C) (tptp.k2_nat_1 A (tptp.k4_card_1 B))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_group_2 B A) (and (not (tptp.v3_struct_0 B)) (tptp.v3_group_1 B) (tptp.l1_group_1 B)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.l1_group_1 A)) (exists ((B $$unsorted)) (tptp.m1_group_2 B A)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A) (tptp.v1_group_1 B) (tptp.m1_group_2 B A) (tptp.v1_group_1 C) (tptp.m1_group_2 C A)) (=> (tptp.r1_group_2 A B C) (tptp.r1_group_2 A C B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A) (tptp.v1_group_1 B) (tptp.m1_group_2 B A) (tptp.v1_group_1 C) (tptp.m1_group_2 C A)) (tptp.r1_group_2 A B B))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A) (tptp.v1_group_1 B) (tptp.m1_group_2 B A) (tptp.v1_group_1 C) (tptp.m1_group_2 C A)) (= (tptp.r1_group_2 A B C) (= B C)))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A) (tptp.m1_subset_1 B _let_1)) (tptp.m1_subset_1 (tptp.k1_group_2 A B) _let_1)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_group_1 A) (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (tptp.m1_subset_1 (tptp.k2_group_2 A B C) _let_1)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.k1_zfmisc_1 _let_1))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_group_1 A) (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_2)) (tptp.m1_subset_1 (tptp.k3_group_2 A B C) _let_2))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.k1_zfmisc_1 _let_1))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_group_1 A) (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_2)) (tptp.m1_subset_1 (tptp.k4_group_2 A B C) _let_2))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k5_group_2 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (and (tptp.v1_group_1 _let_1) (tptp.m1_group_2 _let_1 A))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k6_group_2 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (and (tptp.v1_group_1 _let_1) (tptp.m1_group_2 _let_1 A))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A) (tptp.m1_group_2 B A)) (tptp.m1_subset_1 (tptp.k7_group_2 A B) (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k8_group_2 A B C))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A) (tptp.m1_group_2 B A) (tptp.m1_group_2 C A)) (and (tptp.v1_group_1 _let_1) (tptp.m1_group_2 _let_1 A))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k9_group_2 A B C))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A) (tptp.m1_group_2 B A) (tptp.m1_group_2 C A)) (and (tptp.v1_group_1 _let_1) (tptp.m1_group_2 _let_1 A))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A) (tptp.m1_group_2 B A) (tptp.m1_group_2 C A)) (= (tptp.k9_group_2 A B C) (tptp.k9_group_2 A C B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A) (tptp.m1_group_2 B A) (tptp.m1_group_2 C A)) (= (tptp.k9_group_2 A B C) (tptp.k8_group_2 A B C)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A) (tptp.m1_group_2 B A) (tptp.m1_subset_1 C _let_1)) (tptp.m1_subset_1 (tptp.k10_group_2 A B C) _let_1)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A) (tptp.m1_group_2 B A) (tptp.m1_subset_1 C _let_1)) (tptp.m1_subset_1 (tptp.k11_group_2 A B C) _let_1)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A) (tptp.m1_group_2 B A) (tptp.m1_subset_1 C _let_1)) (tptp.m1_subset_1 (tptp.k12_group_2 A B C) (tptp.k1_zfmisc_1 _let_1))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A) (tptp.m1_group_2 B A) (tptp.m1_subset_1 C _let_1)) (tptp.m1_subset_1 (tptp.k13_group_2 A B C) (tptp.k1_zfmisc_1 _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A) (tptp.m1_group_2 B A)) (tptp.m1_subset_1 (tptp.k14_group_2 A B) (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A) (tptp.m1_group_2 B A)) (tptp.m1_subset_1 (tptp.k15_group_2 A B) (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A) (tptp.m1_group_2 B A)) (tptp.v1_card_1 (tptp.k16_group_2 A B)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A) (tptp.m1_group_2 B A)) (tptp.m2_subset_1 (tptp.k17_group_2 A B) tptp.k1_numbers tptp.k5_numbers))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.m1_subset_1 B A)) (tptp.m1_subset_1 (tptp.k18_group_2 A B) (tptp.k5_finsub_1 A)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.m1_subset_1 B A)) (= (tptp.k18_group_2 A B) (tptp.k1_tarski B)))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (tptp.k1_group_2 A B) (tptp.a_2_0_group_2 A B)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (tptp.k2_group_2 A B C) (tptp.a_3_0_group_2 A B C)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (= (tptp.k14_group_2 A (tptp.k5_group_2 A)) (tptp.a_1_0_group_2 A)))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (= (tptp.k15_group_2 A (tptp.k5_group_2 A)) (tptp.a_1_0_group_2 A)))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_group_1 B) (tptp.m1_group_2 B A)) (=> (= (tptp.k14_group_2 A B) (tptp.a_1_0_group_2 A)) (tptp.r1_group_2 A B (tptp.k5_group_2 A))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_group_1 B) (tptp.m1_group_2 B A)) (=> (= (tptp.k15_group_2 A B) (tptp.a_1_0_group_2 A)) (tptp.r1_group_2 A B (tptp.k5_group_2 A))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_group_1 B) (tptp.v4_group_1 B) (tptp.l1_group_1 B) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B)))) (= (tptp.r2_hidden A (tptp.a_2_0_group_2 B C)) (exists ((D $$unsorted)) (and (tptp.m1_subset_1 D (tptp.u1_struct_0 B)) (= A (tptp.k3_group_1 B D)) (tptp.r2_hidden D C)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B)))) (=> (and (not (tptp.v3_struct_0 B)) (tptp.l1_group_1 B) (tptp.m1_subset_1 C _let_1) (tptp.m1_subset_1 D _let_1)) (= (tptp.r2_hidden A (tptp.a_3_0_group_2 B C D)) (exists ((E $$unsorted) (F $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (and (tptp.m1_subset_1 E _let_1) (tptp.m1_subset_1 F _let_1) (= A (tptp.k1_group_1 B E F)) (tptp.r2_hidden E C) (tptp.r2_hidden F D)))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_group_1 B) (tptp.v4_group_1 B) (tptp.l1_group_1 B)) (= (tptp.r2_hidden A (tptp.a_1_0_group_2 B)) (exists ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (and (tptp.m1_subset_1 C _let_1) (= A (tptp.k6_domain_1 _let_1 C)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (not (tptp.v1_xboole_0 (tptp.k1_group_3 A))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (exists ((B $$unsorted)) (and (tptp.m1_group_2 B A) (not (tptp.v3_struct_0 B)) (tptp.v1_group_1 B) (tptp.v2_group_1 B) (tptp.v3_group_1 B) (tptp.v4_group_1 B) (tptp.v1_group_3 B A))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k3_group_1 A C))) (let ((_let_2 (tptp.k1_group_1 A _let_1 C))) (let ((_let_3 (tptp.k1_group_1 A C _let_1))) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (and (= (tptp.k1_group_1 A (tptp.k1_group_1 A B C) _let_1) B) (= (tptp.k1_group_1 A (tptp.k1_group_1 A B _let_1) C) B) (= (tptp.k1_group_1 A _let_2 B) B) (= (tptp.k1_group_1 A _let_3 B) B) (= (tptp.k1_group_1 A B _let_3) B) (= (tptp.k1_group_1 A B _let_2) B) (= (tptp.k1_group_1 A _let_1 (tptp.k1_group_1 A C B)) B) (= (tptp.k1_group_1 A C (tptp.k1_group_1 A _let_1 B)) B))))))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.l1_group_1 A))) (let ((_let_2 (tptp.v4_group_1 A))) (let ((_let_3 (tptp.v3_group_1 A))) (let ((_let_4 (not (tptp.v3_struct_0 A)))) (=> (and _let_4 _let_3 _let_2 _let_1) (= (and _let_4 _let_3 _let_2 (tptp.v7_group_1 A) _let_1) (tptp.v1_binop_1 (tptp.u1_group_1 A) (tptp.u1_struct_0 A))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (tptp.v7_group_1 (tptp.k5_group_2 A)))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (and (tptp.r1_tarski B C) (tptp.r1_tarski D E)) (tptp.r1_tarski (tptp.k2_group_2 A B D) (tptp.k2_group_2 A C E))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (tptp.r1_tarski C D) (and (tptp.r1_tarski (tptp.k3_group_2 A B C) (tptp.k3_group_2 A B D)) (tptp.r1_tarski (tptp.k4_group_2 A B C) (tptp.k4_group_2 A B D)))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_group_2 C A) (forall ((D $$unsorted)) (=> (tptp.m1_group_2 D A) (=> (tptp.m1_group_2 C D) (and (tptp.r1_tarski (tptp.k12_group_2 A C B) (tptp.k12_group_2 A D B)) (tptp.r1_tarski (tptp.k13_group_2 A C B) (tptp.k13_group_2 A D B)))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_group_2 C A) (= (tptp.k12_group_2 A C B) (tptp.k10_group_2 A C (tptp.k6_domain_1 (tptp.u1_struct_0 A) B))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_group_2 C A) (= (tptp.k13_group_2 A C B) (tptp.k11_group_2 A C (tptp.k6_domain_1 (tptp.u1_struct_0 A) B))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((D $$unsorted)) (=> (tptp.m1_group_2 D A) (= (tptp.k10_group_2 A D (tptp.k3_group_2 A B C)) (tptp.k3_group_2 A B (tptp.k10_group_2 A D C))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((D $$unsorted)) (=> (tptp.m1_group_2 D A) (= (tptp.k10_group_2 A D (tptp.k4_group_2 A B C)) (tptp.k2_group_2 A C (tptp.k12_group_2 A D B))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((D $$unsorted)) (=> (tptp.m1_group_2 D A) (= (tptp.k2_group_2 A (tptp.k12_group_2 A D B) C) (tptp.k3_group_2 A B (tptp.k11_group_2 A D C))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((D $$unsorted)) (=> (tptp.m1_group_2 D A) (= (tptp.k4_group_2 A B (tptp.k10_group_2 A D C)) (tptp.k2_group_2 A C (tptp.k13_group_2 A D B))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((D $$unsorted)) (=> (tptp.m1_group_2 D A) (= (tptp.k2_group_2 A (tptp.k13_group_2 A D B) C) (tptp.k11_group_2 A D (tptp.k3_group_2 A B C))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((D $$unsorted)) (=> (tptp.m1_group_2 D A) (= (tptp.k4_group_2 A B (tptp.k11_group_2 A D C)) (tptp.k11_group_2 A D (tptp.k4_group_2 A B C))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_group_2 C A) (forall ((D $$unsorted)) (=> (tptp.m1_group_2 D A) (= (tptp.k10_group_2 A D (tptp.k13_group_2 A C B)) (tptp.k11_group_2 A C (tptp.k12_group_2 A D B))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (= (= B (tptp.k1_group_3 A)) (forall ((C $$unsorted)) (= (tptp.r2_hidden C B) (and (tptp.v1_group_1 C) (tptp.m1_group_2 C A)))))))) true true (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v1_group_1 A) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (tptp.r2_hidden A (tptp.k1_group_3 A)))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (=> (tptp.v6_group_1 A) (tptp.v1_finset_1 (tptp.k1_group_3 A))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (tptp.k2_group_3 A B C) (tptp.k1_group_1 A (tptp.k1_group_1 A (tptp.k3_group_1 A C) B) C)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k3_group_1 A C))) (let ((_let_2 (tptp.k2_group_3 A B C))) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (and (= _let_2 (tptp.k1_group_1 A (tptp.k1_group_1 A _let_1 B) C)) (= _let_2 (tptp.k1_group_1 A _let_1 (tptp.k1_group_1 A B C)))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (=> (= (tptp.k2_group_3 A B C) (tptp.k2_group_3 A D C)) (= B D)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k2_group_1 A))) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (= (tptp.k2_group_3 A _let_1 B) _let_1)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k2_group_1 A))) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (=> (= (tptp.k2_group_3 A B C) _let_1) (= B _let_1))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (= (tptp.k2_group_3 A B (tptp.k2_group_1 A)) B))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (= (tptp.k2_group_3 A B B) B))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k3_group_1 A B))) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (and (= (tptp.k2_group_3 A B _let_1) B) (= (tptp.k2_group_3 A _let_1 B) _let_1))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (= (tptp.k2_group_3 A B C) B) (= (tptp.k1_group_1 A B C) (tptp.k1_group_1 A C B))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (= (tptp.k2_group_3 A (tptp.k1_group_1 A B C) D) (tptp.k1_group_1 A (tptp.k2_group_3 A B D) (tptp.k2_group_3 A C D))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (= (tptp.k2_group_3 A (tptp.k2_group_3 A B C) D) (tptp.k2_group_3 A B (tptp.k1_group_1 A C D))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k3_group_1 A C))) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (and (= (tptp.k2_group_3 A (tptp.k2_group_3 A B C) _let_1) B) (= (tptp.k2_group_3 A (tptp.k2_group_3 A B _let_1) C) B))))))))) true (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (tptp.k2_group_3 A (tptp.k3_group_1 A B) C) (tptp.k3_group_1 A (tptp.k2_group_3 A B C))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m2_subset_1 D tptp.k1_numbers tptp.k5_numbers) (= (tptp.k2_group_3 A (tptp.k6_group_1 A D B) C) (tptp.k6_group_1 A D (tptp.k2_group_3 A B C))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.v1_int_1 D) (= (tptp.k2_group_3 A (tptp.k6_group_1 A D B) C) (tptp.k6_group_1 A D (tptp.k2_group_3 A B C))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.v7_group_1 A) (tptp.l1_group_1 A)) (= (tptp.k2_group_3 A B C) B)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (=> (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (tptp.k2_group_3 A B C) B))))) (tptp.v7_group_1 A)))) true (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_group_1 B) (tptp.v4_group_1 B) (tptp.l1_group_1 B)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B))) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B))) (= (tptp.r2_hidden A (tptp.k3_group_3 B C D)) (exists ((E $$unsorted)) (and (tptp.m1_subset_1 E (tptp.u1_struct_0 B)) (exists ((F $$unsorted)) (and (tptp.m1_subset_1 F (tptp.u1_struct_0 B)) (= A (tptp.k2_group_3 B E F)) (tptp.r2_hidden E C) (tptp.r2_hidden F D)))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (not (= (tptp.k3_group_3 A B C) tptp.k1_xboole_0)) (and (not (= B tptp.k1_xboole_0)) (not (= C tptp.k1_xboole_0)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (tptp.r1_tarski (tptp.k3_group_3 A B C) (tptp.k2_group_2 A (tptp.k2_group_2 A (tptp.k1_group_2 A C) B) C)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (tptp.r1_tarski (tptp.k3_group_3 A (tptp.k2_group_2 A B C) D) (tptp.k2_group_2 A (tptp.k3_group_3 A B D) (tptp.k3_group_3 A C D))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (tptp.k3_group_3 A (tptp.k3_group_3 A B C) D) (tptp.k3_group_3 A B (tptp.k2_group_2 A C D))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (tptp.k3_group_3 A (tptp.k1_group_2 A B) C) (tptp.k1_group_2 A (tptp.k3_group_3 A B C))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 C _let_1) (= (tptp.k3_group_3 A (tptp.k6_domain_1 _let_1 B) (tptp.k6_domain_1 _let_1 C)) (tptp.k6_domain_1 _let_1 (tptp.k2_group_3 A B C)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 D _let_1) (= (tptp.k3_group_3 A (tptp.k6_domain_1 _let_1 B) (tptp.k7_domain_1 _let_1 C D)) (tptp.k7_domain_1 _let_1 (tptp.k2_group_3 A B C) (tptp.k2_group_3 A B D)))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 D _let_1) (= (tptp.k3_group_3 A (tptp.k7_domain_1 _let_1 B C) (tptp.k6_domain_1 _let_1 D)) (tptp.k7_domain_1 _let_1 (tptp.k2_group_3 A B D) (tptp.k2_group_3 A C D)))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (forall ((E $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 E _let_1) (= (tptp.k3_group_3 A (tptp.k7_domain_1 _let_1 B C) (tptp.k7_domain_1 _let_1 D E)) (tptp.k9_domain_1 _let_1 (tptp.k2_group_3 A B D) (tptp.k2_group_3 A B E) (tptp.k2_group_3 A C D) (tptp.k2_group_3 A C E)))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 C _let_1) (= (tptp.k4_group_3 A B C) (tptp.k3_group_3 A B (tptp.k6_domain_1 _let_1 C)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 C _let_1) (= (tptp.k5_group_3 A B C) (tptp.k3_group_3 A (tptp.k6_domain_1 _let_1 C) B))))))))) true true (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_group_1 B) (tptp.v4_group_1 B) (tptp.l1_group_1 B)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 B)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B))) (= (tptp.r2_hidden A (tptp.k4_group_3 B D C)) (exists ((E $$unsorted)) (and (tptp.m1_subset_1 E (tptp.u1_struct_0 B)) (= A (tptp.k2_group_3 B E C)) (tptp.r2_hidden E D)))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_group_1 B) (tptp.v4_group_1 B) (tptp.l1_group_1 B)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 B)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B))) (= (tptp.r2_hidden A (tptp.k5_group_3 B D C)) (exists ((E $$unsorted)) (and (tptp.m1_subset_1 E (tptp.u1_struct_0 B)) (= A (tptp.k2_group_3 B C E)) (tptp.r2_hidden E D)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (tptp.r1_tarski (tptp.k5_group_3 A C B) (tptp.k2_group_2 A (tptp.k4_group_2 A B (tptp.k1_group_2 A C)) C)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (tptp.k4_group_3 A (tptp.k3_group_3 A C D) B) (tptp.k3_group_3 A C (tptp.k4_group_2 A B D))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (tptp.k3_group_3 A (tptp.k4_group_3 A C B) D) (tptp.k3_group_3 A C (tptp.k3_group_2 A B D))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (tptp.k3_group_3 A (tptp.k5_group_3 A C B) D) (tptp.k5_group_3 A (tptp.k2_group_2 A C D) B)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (tptp.k4_group_3 A (tptp.k4_group_3 A D B) C) (tptp.k4_group_3 A D (tptp.k1_group_1 A B C))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (tptp.k4_group_3 A (tptp.k5_group_3 A D B) C) (tptp.k5_group_3 A (tptp.k4_group_2 A C D) B)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (tptp.k5_group_3 A D (tptp.k2_group_3 A B C)) (tptp.k5_group_3 A (tptp.k3_group_2 A C D) B)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (tptp.k4_group_3 A C B) (tptp.k4_group_2 A B (tptp.k3_group_2 A (tptp.k3_group_1 A B) C))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (tptp.r1_tarski (tptp.k4_group_3 A (tptp.k2_group_2 A C D) B) (tptp.k2_group_2 A (tptp.k4_group_3 A C B) (tptp.k4_group_3 A D B))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (tptp.k4_group_3 A B (tptp.k2_group_1 A)) B))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k2_group_1 A))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 _let_2)) (=> (not (= B tptp.k1_xboole_0)) (= (tptp.k5_group_3 A B _let_1) (tptp.k6_domain_1 _let_2 _let_1))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k3_group_1 A B))) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (and (= (tptp.k4_group_3 A (tptp.k4_group_3 A C B) _let_1) C) (= (tptp.k4_group_3 A (tptp.k4_group_3 A C _let_1) B) C))))))))) true (forall ((A $$unsorted)) (let ((_let_1 (tptp.l1_group_1 A))) (let ((_let_2 (tptp.v4_group_1 A))) (let ((_let_3 (tptp.v3_group_1 A))) (let ((_let_4 (not (tptp.v3_struct_0 A)))) (=> (and _let_4 _let_3 _let_2 _let_1) (= (and _let_4 _let_3 _let_2 (tptp.v7_group_1 A) _let_1) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (not (= C tptp.k1_xboole_0)) (= (tptp.k3_group_3 A B C) B))))))))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.l1_group_1 A))) (let ((_let_2 (tptp.v4_group_1 A))) (let ((_let_3 (tptp.v3_group_1 A))) (let ((_let_4 (not (tptp.v3_struct_0 A)))) (=> (and _let_4 _let_3 _let_2 _let_1) (= (and _let_4 _let_3 _let_2 (tptp.v7_group_1 A) _let_1) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (tptp.k4_group_3 A B C) B)))))))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.l1_group_1 A))) (let ((_let_2 (tptp.v4_group_1 A))) (let ((_let_3 (tptp.v3_group_1 A))) (let ((_let_4 (not (tptp.v3_struct_0 A)))) (=> (and _let_4 _let_3 _let_2 _let_1) (= (and _let_4 _let_3 _let_2 (tptp.v7_group_1 A) _let_1) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 C _let_1) (=> (not (= B tptp.k1_xboole_0)) (= (tptp.k5_group_3 A B C) (tptp.k6_domain_1 _let_1 C))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_group_2 B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (and (tptp.v1_group_1 D) (tptp.m1_group_2 D A)) (= (= D (tptp.k6_group_3 A B C)) (= (tptp.u1_struct_0 D) (tptp.k4_group_3 A (tptp.k7_group_2 A B) C))))))))))) true true (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_group_1 B) (tptp.v4_group_1 B) (tptp.l1_group_1 B)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 B)) (forall ((D $$unsorted)) (=> (tptp.m1_group_2 D B) (= (tptp.r1_rlvect_1 (tptp.k6_group_3 B D C) A) (exists ((E $$unsorted)) (and (tptp.m1_subset_1 E (tptp.u1_struct_0 B)) (= A (tptp.k2_group_3 B E C)) (tptp.r1_rlvect_1 D E)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_group_2 C A) (= (tptp.u1_struct_0 (tptp.k6_group_3 A C B)) (tptp.k4_group_2 A B (tptp.k12_group_2 A C (tptp.k3_group_1 A B)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_group_2 D A) (tptp.r1_group_2 A (tptp.k6_group_3 A (tptp.k6_group_3 A D B) C) (tptp.k6_group_3 A D (tptp.k1_group_1 A B C))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_group_1 B) (tptp.m1_group_2 B A)) (tptp.r1_group_2 A (tptp.k6_group_3 A B (tptp.k2_group_1 A)) B))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k3_group_1 A B))) (=> (and (tptp.v1_group_1 C) (tptp.m1_group_2 C A)) (and (tptp.r1_group_2 A (tptp.k6_group_3 A (tptp.k6_group_3 A C B) _let_1) C) (tptp.r1_group_2 A (tptp.k6_group_3 A (tptp.k6_group_3 A C _let_1) B) C))))))))) true (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_group_2 C A) (forall ((D $$unsorted)) (=> (tptp.m1_group_2 D A) (tptp.r1_group_2 A (tptp.k6_group_3 A (tptp.k9_group_2 A C D) B) (tptp.k9_group_2 A (tptp.k6_group_3 A C B) (tptp.k6_group_3 A D B))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_group_2 C A) (= (tptp.k8_group_1 C) (tptp.k8_group_1 (tptp.k6_group_3 A C B))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_group_2 C A) (= (tptp.v6_group_1 C) (tptp.v6_group_1 (tptp.k6_group_3 A C B))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_group_2 C A) (=> (tptp.v6_group_1 C) (= (tptp.k9_group_1 C) (tptp.k9_group_1 (tptp.k6_group_3 A C B)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k5_group_2 A))) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (tptp.r1_group_2 A (tptp.k6_group_3 A _let_1 B) _let_1)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k5_group_2 A))) (=> (and (tptp.v1_group_1 C) (tptp.m1_group_2 C A)) (=> (tptp.r1_group_2 A (tptp.k6_group_3 A C B) _let_1) (tptp.r1_group_2 A C _let_1))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k6_group_2 A))) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (tptp.r1_group_2 A (tptp.k6_group_3 A _let_1 B) _let_1)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (and (tptp.v1_group_1 C) (tptp.m1_group_2 C A)) (=> (= (tptp.k6_group_3 A C B) A) (= C A)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_group_2 C A) (= (tptp.k16_group_2 A C) (tptp.k16_group_2 A (tptp.k6_group_3 A C B))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_group_2 C A) (=> (tptp.v1_finset_1 (tptp.k14_group_2 A C)) (= (tptp.k17_group_2 A C) (tptp.k17_group_2 A (tptp.k6_group_3 A C B)))))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.l1_group_1 A))) (let ((_let_2 (tptp.v4_group_1 A))) (let ((_let_3 (tptp.v3_group_1 A))) (let ((_let_4 (not (tptp.v3_struct_0 A)))) (=> (and _let_4 _let_3 _let_2 _let_1) (=> (and _let_4 _let_3 _let_2 (tptp.v7_group_1 A) _let_1) (forall ((B $$unsorted)) (=> (and (tptp.v1_group_1 B) (tptp.m1_group_2 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (tptp.r1_group_2 A (tptp.k6_group_3 A B C) B)))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (tptp.r1_group_3 A B C) (exists ((D $$unsorted)) (and (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (= B (tptp.k2_group_3 A C D))))))))))) true (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (tptp.r1_group_3 A B C) (exists ((D $$unsorted)) (and (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (= C (tptp.k2_group_3 A B D))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (tptp.r1_group_3 A B B))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (=> (tptp.r1_group_3 A B C) (tptp.r1_group_3 A C B)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (=> (and (tptp.r2_group_3 A B C) (tptp.r2_group_3 A C D)) (tptp.r2_group_3 A B D)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k2_group_1 A))) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (=> (or (tptp.r2_group_3 A B _let_1) (tptp.r2_group_3 A _let_1 B)) (= B _let_1))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (= (tptp.k7_group_3 A B) (tptp.k5_group_3 A (tptp.k7_group_2 A (tptp.k6_group_2 A)) B)))))) true (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_group_1 B) (tptp.v4_group_1 B) (tptp.l1_group_1 B)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 B)) (= (tptp.r2_hidden A (tptp.k7_group_3 B C)) (exists ((D $$unsorted)) (and (tptp.m1_subset_1 D (tptp.u1_struct_0 B)) (= D A) (tptp.r2_group_3 B C D)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (tptp.r2_hidden B (tptp.k7_group_3 A C)) (tptp.r2_group_3 A B C)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (tptp.r2_hidden (tptp.k2_group_3 A B C) (tptp.k7_group_3 A B)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (tptp.r2_hidden B (tptp.k7_group_3 A B)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (=> (tptp.r2_hidden B (tptp.k7_group_3 A C)) (tptp.r2_hidden C (tptp.k7_group_3 A B))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k7_group_3 A C))) (let ((_let_2 (tptp.k7_group_3 A B))) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (= _let_2 _let_1) (not (tptp.r1_xboole_0 _let_2 _let_1))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k2_group_1 A))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 B _let_2) (= (= (tptp.k7_group_3 A B) (tptp.k6_domain_1 _let_2 _let_1)) (= B _let_1)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k7_group_3 A B))) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (tptp.k2_group_2 A _let_1 C) (tptp.k2_group_2 A C _let_1))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (tptp.r3_group_3 A B C) (exists ((D $$unsorted)) (and (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (= B (tptp.k4_group_3 A C D))))))))))) true (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (tptp.r3_group_3 A B C) (exists ((D $$unsorted)) (and (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (= C (tptp.k4_group_3 A B D))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (tptp.r3_group_3 A B B))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (tptp.r3_group_3 A B C) (tptp.r3_group_3 A C B)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (and (tptp.r4_group_3 A B C) (tptp.r4_group_3 A C D)) (tptp.r4_group_3 A B D)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 C _let_1) (= (tptp.r4_group_3 A (tptp.k6_domain_1 _let_1 B) (tptp.k6_domain_1 _let_1 C)) (tptp.r2_group_3 A B C))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (=> (tptp.m1_group_2 C A) (not (and (tptp.r4_group_3 A B (tptp.k7_group_2 A C)) (forall ((D $$unsorted)) (=> (and (tptp.v1_group_1 D) (tptp.m1_group_2 D A)) (not (= (tptp.u1_struct_0 D) B)))))))))))) true (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_group_1 B) (tptp.v4_group_1 B) (tptp.l1_group_1 B)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B))) (= (tptp.r2_hidden A (tptp.k8_group_3 B C)) (exists ((D $$unsorted)) (and (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B))) (= A D) (tptp.r4_group_3 B C D)))))))) true (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (tptp.r2_hidden B (tptp.k8_group_3 A C)) (tptp.r4_group_3 A B C)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (tptp.r2_hidden (tptp.k4_group_3 A C B) (tptp.k8_group_3 A C)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (tptp.r2_hidden B (tptp.k8_group_3 A B)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (tptp.r2_hidden B (tptp.k8_group_3 A C)) (tptp.r2_hidden C (tptp.k8_group_3 A B))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k8_group_3 A C))) (let ((_let_2 (tptp.k8_group_3 A B))) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (= _let_2 _let_1) (not (tptp.r1_xboole_0 _let_2 _let_1))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (tptp.v6_group_1 A) (tptp.v1_finset_1 (tptp.k8_group_3 A B))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_group_2 B A) (forall ((C $$unsorted)) (=> (tptp.m1_group_2 C A) (= (tptp.r5_group_3 A B C) (exists ((D $$unsorted)) (and (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (= (tptp.g1_group_1 (tptp.u1_struct_0 B) (tptp.u1_group_1 B)) (tptp.k6_group_3 A C D))))))))))) true (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_group_1 B) (tptp.m1_group_2 B A)) (forall ((C $$unsorted)) (=> (and (tptp.v1_group_1 C) (tptp.m1_group_2 C A)) (= (tptp.r5_group_3 A B C) (exists ((D $$unsorted)) (and (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (tptp.r1_group_2 A C (tptp.k6_group_3 A B D))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_group_1 B) (tptp.m1_group_2 B A)) (tptp.r5_group_3 A B B))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_group_1 B) (tptp.m1_group_2 B A)) (forall ((C $$unsorted)) (=> (and (tptp.v1_group_1 C) (tptp.m1_group_2 C A)) (=> (tptp.r5_group_3 A B C) (tptp.r5_group_3 A C B)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_group_2 B A) (forall ((C $$unsorted)) (=> (and (tptp.v1_group_1 C) (tptp.m1_group_2 C A)) (forall ((D $$unsorted)) (=> (and (tptp.v1_group_1 D) (tptp.m1_group_2 D A)) (=> (and (tptp.r6_group_3 A C D) (tptp.r5_group_3 A D B)) (tptp.r5_group_3 A C B)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_group_2 B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.k1_group_3 A))) (= (= C (tptp.k9_group_3 A B)) (forall ((D $$unsorted)) (= (tptp.r2_hidden D C) (exists ((E $$unsorted)) (and (tptp.v1_group_1 E) (tptp.m1_group_2 E A) (= D E) (tptp.r5_group_3 A B E)))))))))))) true true (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_group_1 B) (tptp.v4_group_1 B) (tptp.l1_group_1 B)) (forall ((C $$unsorted)) (=> (tptp.m1_group_2 C B) (=> (tptp.r2_hidden A (tptp.k9_group_3 B C)) (and (tptp.v1_group_1 A) (tptp.m1_group_2 A B))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_group_1 B) (tptp.m1_group_2 B A)) (forall ((C $$unsorted)) (=> (and (tptp.v1_group_1 C) (tptp.m1_group_2 C A)) (= (tptp.r2_hidden B (tptp.k9_group_3 A C)) (tptp.r6_group_3 A B C)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (and (tptp.v1_group_1 C) (tptp.m1_group_2 C A)) (tptp.r2_hidden (tptp.k6_group_3 A C B) (tptp.k9_group_3 A C)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_group_1 B) (tptp.m1_group_2 B A)) (tptp.r2_hidden B (tptp.k9_group_3 A B)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_group_1 B) (tptp.m1_group_2 B A)) (forall ((C $$unsorted)) (=> (and (tptp.v1_group_1 C) (tptp.m1_group_2 C A)) (=> (tptp.r2_hidden B (tptp.k9_group_3 A C)) (tptp.r2_hidden C (tptp.k9_group_3 A B))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_group_1 B) (tptp.m1_group_2 B A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k9_group_3 A C))) (let ((_let_2 (tptp.k9_group_3 A B))) (=> (and (tptp.v1_group_1 C) (tptp.m1_group_2 C A)) (= (= _let_2 _let_1) (not (tptp.r1_xboole_0 _let_2 _let_1))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_group_2 B A) (=> (tptp.v6_group_1 A) (tptp.v1_finset_1 (tptp.k9_group_3 A B))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_group_2 B A) (forall ((C $$unsorted)) (=> (and (tptp.v1_group_1 C) (tptp.m1_group_2 C A)) (= (tptp.r5_group_3 A C B) (tptp.r4_group_3 A (tptp.k7_group_2 A C) (tptp.k7_group_2 A B))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_group_2 B A) (= (tptp.v1_group_3 B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (tptp.k6_group_3 A B C) (tptp.g1_group_1 (tptp.u1_struct_0 B) (tptp.u1_group_1 B)))))))))) true true (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (and (tptp.v1_group_3 (tptp.k5_group_2 A) A) (tptp.v1_group_3 (tptp.k6_group_2 A) A)))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_group_1 B) (tptp.v1_group_3 B A) (tptp.m1_group_2 B A)) (forall ((C $$unsorted)) (=> (and (tptp.v1_group_1 C) (tptp.v1_group_3 C A) (tptp.m1_group_2 C A)) (tptp.v1_group_3 (tptp.k9_group_2 A B C) A))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_group_1 B) (tptp.m1_group_2 B A)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.v7_group_1 A) (tptp.l1_group_1 A)) (tptp.v1_group_3 B A)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.m1_group_2 B A))) (=> _let_1 (= (and (tptp.v1_group_3 B A) _let_1) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (tptp.k12_group_2 A B C) (tptp.k13_group_2 A B C)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.m1_group_2 B A))) (=> _let_1 (= (and (tptp.v1_group_3 B A) _let_1) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (tptp.r1_tarski (tptp.k12_group_2 A B C) (tptp.k13_group_2 A B C)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.m1_group_2 B A))) (=> _let_1 (= (and (tptp.v1_group_3 B A) _let_1) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (tptp.r1_tarski (tptp.k13_group_2 A B C) (tptp.k12_group_2 A B C)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.m1_group_2 B A))) (=> _let_1 (= (and (tptp.v1_group_3 B A) _let_1) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (tptp.k10_group_2 A B C) (tptp.k11_group_2 A B C)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.m1_group_2 B A))) (=> (and (tptp.v1_group_1 B) _let_1) (= (and (tptp.v1_group_3 B A) _let_1) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (tptp.m1_group_2 B (tptp.k6_group_3 A B C)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.m1_group_2 B A))) (=> (and (tptp.v1_group_1 B) _let_1) (= (and (tptp.v1_group_3 B A) _let_1) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (tptp.m1_group_2 (tptp.k6_group_3 A B C) B))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.m1_group_2 B A))) (=> (and (tptp.v1_group_1 B) _let_1) (= (and (tptp.v1_group_3 B A) _let_1) (= (tptp.k9_group_3 A B) (tptp.k1_tarski B)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.m1_group_2 B A))) (=> (and (tptp.v1_group_1 B) _let_1) (= (and (tptp.v1_group_3 B A) _let_1) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (=> (tptp.r1_rlvect_1 B C) (tptp.r1_tarski (tptp.k7_group_3 A C) (tptp.k7_group_2 A B))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_group_1 B) (tptp.v1_group_3 B A) (tptp.m1_group_2 B A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k7_group_2 A B))) (let ((_let_2 (tptp.k7_group_2 A C))) (=> (and (tptp.v1_group_1 C) (tptp.v1_group_3 C A) (tptp.m1_group_2 C A)) (= (tptp.k2_group_2 A _let_1 _let_2) (tptp.k2_group_2 A _let_2 _let_1)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_group_1 B) (tptp.v1_group_3 B A) (tptp.m1_group_2 B A)) (forall ((C $$unsorted)) (=> (and (tptp.v1_group_1 C) (tptp.v1_group_3 C A) (tptp.m1_group_2 C A)) (exists ((D $$unsorted)) (and (tptp.v1_group_1 D) (tptp.v1_group_3 D A) (tptp.m1_group_2 D A) (= (tptp.u1_struct_0 D) (tptp.k2_group_2 A (tptp.k7_group_2 A B) (tptp.k7_group_2 A C))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_group_3 B A) (tptp.m1_group_2 B A)) (= (tptp.k14_group_2 A B) (tptp.k15_group_2 A B)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.m1_group_2 B A))) (=> _let_1 (=> (and (tptp.v1_finset_1 (tptp.k14_group_2 A B)) (= (tptp.k17_group_2 A B) tptp.np__2)) (and (tptp.v1_group_3 B A) _let_1))))))) true true (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_group_1 B) (tptp.v4_group_1 B) (tptp.l1_group_1 B)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B))) (= (tptp.r1_rlvect_1 (tptp.k10_group_3 B C) A) (exists ((D $$unsorted)) (and (tptp.m1_subset_1 D (tptp.u1_struct_0 B)) (= A D) (= (tptp.k4_group_3 B C D) C)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (tptp.k1_card_1 (tptp.k8_group_3 A B)) (tptp.k16_group_2 A (tptp.k10_group_3 A B))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (not (and (or (tptp.v1_finset_1 (tptp.k8_group_3 A B)) (tptp.v1_finset_1 (tptp.k14_group_2 A (tptp.k10_group_3 A B)))) (forall ((C $$unsorted)) (=> (tptp.v1_finset_1 C) (not (and (= C (tptp.k8_group_3 A B)) (= (tptp.k4_card_1 C) (tptp.k17_group_2 A (tptp.k10_group_3 A B))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 B _let_1) (= (tptp.k1_card_1 (tptp.k7_group_3 A B)) (tptp.k16_group_2 A (tptp.k10_group_3 A (tptp.k6_domain_1 _let_1 B))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 B _let_1) (not (and (or (tptp.v1_finset_1 (tptp.k7_group_3 A B)) (tptp.v1_finset_1 (tptp.k14_group_2 A (tptp.k10_group_3 A (tptp.k6_domain_1 _let_1 B))))) (forall ((C $$unsorted)) (=> (tptp.v1_finset_1 C) (not (and (= C (tptp.k7_group_3 A B)) (= (tptp.k4_card_1 C) (tptp.k17_group_2 A (tptp.k10_group_3 A (tptp.k6_domain_1 (tptp.u1_struct_0 A) B))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_group_2 B A) (= (tptp.k11_group_3 A B) (tptp.k10_group_3 A (tptp.k7_group_2 A B))))))) true (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_group_1 B) (tptp.v4_group_1 B) (tptp.l1_group_1 B)) (forall ((C $$unsorted)) (=> (and (tptp.v1_group_1 C) (tptp.m1_group_2 C B)) (= (tptp.r1_rlvect_1 (tptp.k11_group_3 B C) A) (exists ((D $$unsorted)) (and (tptp.m1_subset_1 D (tptp.u1_struct_0 B)) (= A D) (tptp.r1_group_2 B (tptp.k6_group_3 B C D) C)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_group_1 B) (tptp.m1_group_2 B A)) (= (tptp.k1_card_1 (tptp.k9_group_3 A B)) (tptp.k16_group_2 A (tptp.k11_group_3 A B))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_group_1 B) (tptp.m1_group_2 B A)) (not (and (or (tptp.v1_finset_1 (tptp.k9_group_3 A B)) (tptp.v1_finset_1 (tptp.k14_group_2 A (tptp.k11_group_3 A B)))) (forall ((C $$unsorted)) (=> (tptp.v1_finset_1 C) (not (and (= C (tptp.k9_group_3 A B)) (= (tptp.k4_card_1 C) (tptp.k17_group_2 A (tptp.k11_group_3 A B))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v1_group_1 A) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.m1_group_2 B A))) (=> (and (tptp.v1_group_1 B) _let_1) (= (and (tptp.v1_group_3 B A) _let_1) (= (tptp.k11_group_3 A B) A))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v1_group_1 A) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (= (tptp.k11_group_3 A (tptp.k5_group_2 A)) A))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v1_group_1 A) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (= (tptp.k11_group_3 A (tptp.k6_group_2 A)) A))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A) (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (=> (tptp.r2_group_3 A B C) (tptp.r2_group_3 A C B))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A) (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (tptp.r2_group_3 A B B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A) (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (= (tptp.r2_group_3 A B C) (tptp.r1_group_3 A B C))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A) (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (=> (tptp.r4_group_3 A B C) (tptp.r4_group_3 A C B))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A) (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (tptp.r4_group_3 A B B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A) (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (= (tptp.r4_group_3 A B C) (tptp.r3_group_3 A B C))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A) (tptp.v1_group_1 B) (tptp.m1_group_2 B A) (tptp.v1_group_1 C) (tptp.m1_group_2 C A)) (=> (tptp.r6_group_3 A B C) (tptp.r6_group_3 A C B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A) (tptp.v1_group_1 B) (tptp.m1_group_2 B A) (tptp.v1_group_1 C) (tptp.m1_group_2 C A)) (tptp.r6_group_3 A B B))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A) (tptp.v1_group_1 B) (tptp.m1_group_2 B A) (tptp.v1_group_1 C) (tptp.m1_group_2 C A)) (= (tptp.r6_group_3 A B C) (tptp.r5_group_3 A B C)))) true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A) (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (tptp.m1_subset_1 (tptp.k2_group_3 A B C) _let_1)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A) (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (tptp.m1_subset_1 (tptp.k3_group_3 A B C) _let_1)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.k1_zfmisc_1 _let_1))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A) (tptp.m1_subset_1 B _let_2) (tptp.m1_subset_1 C _let_1)) (tptp.m1_subset_1 (tptp.k4_group_3 A B C) _let_2))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.k1_zfmisc_1 _let_1))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A) (tptp.m1_subset_1 B _let_2) (tptp.m1_subset_1 C _let_1)) (tptp.m1_subset_1 (tptp.k5_group_3 A B C) _let_2))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k6_group_3 A B C))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A) (tptp.m1_group_2 B A) (tptp.m1_subset_1 C (tptp.u1_struct_0 A))) (and (tptp.v1_group_1 _let_1) (tptp.m1_group_2 _let_1 A))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A) (tptp.m1_subset_1 B _let_1)) (tptp.m1_subset_1 (tptp.k7_group_3 A B) (tptp.k1_zfmisc_1 _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A) (tptp.m1_subset_1 B _let_1)) (tptp.m1_subset_1 (tptp.k8_group_3 A B) (tptp.k1_zfmisc_1 _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A) (tptp.m1_group_2 B A)) (tptp.m1_subset_1 (tptp.k9_group_3 A B) (tptp.k1_zfmisc_1 (tptp.k1_group_3 A))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k10_group_3 A B))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (and (tptp.v1_group_1 _let_1) (tptp.m1_group_2 _let_1 A))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k11_group_3 A B))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A) (tptp.m1_group_2 B A)) (and (tptp.v1_group_1 _let_1) (tptp.m1_group_2 _let_1 A))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (tptp.k3_group_3 A B C) (tptp.a_3_0_group_3 A B C)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (= (tptp.k5_group_3 A (tptp.k7_group_2 A (tptp.k6_group_2 A)) B) (tptp.a_2_0_group_3 A B)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (tptp.k8_group_3 A B) (tptp.a_2_1_group_3 A B)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 B _let_1) (= (tptp.k8_group_3 A (tptp.k6_domain_1 _let_1 B)) (tptp.a_2_2_group_3 A B))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (=> (and (tptp.v1_group_1 C) (tptp.m1_group_2 C A)) (= (= C (tptp.k10_group_3 A B)) (= (tptp.u1_struct_0 C) (tptp.a_2_3_group_3 A B))))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B)))) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_group_1 B) (tptp.v4_group_1 B) (tptp.l1_group_1 B) (tptp.m1_subset_1 C _let_1) (tptp.m1_subset_1 D _let_1)) (= (tptp.r2_hidden A (tptp.a_3_0_group_3 B C D)) (exists ((E $$unsorted) (F $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (and (tptp.m1_subset_1 E _let_1) (tptp.m1_subset_1 F _let_1) (= A (tptp.k2_group_3 B E F)) (tptp.r2_hidden E C) (tptp.r2_hidden F D)))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_group_1 B) (tptp.v4_group_1 B) (tptp.l1_group_1 B) (tptp.m1_subset_1 C (tptp.u1_struct_0 B))) (= (tptp.r2_hidden A (tptp.a_2_0_group_3 B C)) (exists ((D $$unsorted)) (and (tptp.m1_subset_1 D (tptp.u1_struct_0 B)) (= A D) (tptp.r2_group_3 B C D)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_group_1 B) (tptp.v4_group_1 B) (tptp.l1_group_1 B) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B)))) (= (tptp.r2_hidden A (tptp.a_2_1_group_3 B C)) (exists ((D $$unsorted)) (and (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B))) (= A D) (tptp.r4_group_3 B C D)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_group_1 B) (tptp.v4_group_1 B) (tptp.l1_group_1 B) (tptp.m1_subset_1 C (tptp.u1_struct_0 B))) (= (tptp.r2_hidden A (tptp.a_2_2_group_3 B C)) (exists ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (and (tptp.m1_subset_1 D _let_1) (= A (tptp.k6_domain_1 _let_1 D)) (tptp.r2_hidden D (tptp.k7_group_3 B C)))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_group_1 B) (tptp.v4_group_1 B) (tptp.l1_group_1 B) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B)))) (= (tptp.r2_hidden A (tptp.a_2_3_group_3 B C)) (exists ((D $$unsorted)) (and (tptp.m1_subset_1 D (tptp.u1_struct_0 B)) (= A D) (= (tptp.k4_group_3 B C D) C)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_group_1 B) (tptp.v4_group_1 B) (tptp.l1_group_1 B)) (= (tptp.r1_rlvect_1 (tptp.k5_group_2 B) A) (= A (tptp.k2_group_1 B))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_group_2 D A) (=> (and (tptp.r1_rlvect_1 D B) (tptp.r1_rlvect_1 D C)) (tptp.r1_rlvect_1 D (tptp.k2_group_3 A B C))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (and (tptp.v1_group_1 D) (tptp.v1_group_3 D A) (tptp.m1_group_2 D A)) (=> (tptp.r1_rlvect_1 D B) (tptp.r1_rlvect_1 D (tptp.k2_group_3 A B C))))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_group_1 B) (tptp.v4_group_1 B) (tptp.l1_group_1 B)) (forall ((C $$unsorted)) (=> (tptp.m1_group_2 C B) (forall ((D $$unsorted)) (=> (tptp.m1_group_2 D B) (= (tptp.r2_hidden A (tptp.k7_group_4 B C D)) (exists ((E $$unsorted)) (and (tptp.m1_subset_1 E (tptp.u1_struct_0 B)) (exists ((F $$unsorted)) (and (tptp.m1_subset_1 F (tptp.u1_struct_0 B)) (= A (tptp.k1_group_1 B E F)) (tptp.r1_rlvect_1 C E) (tptp.r1_rlvect_1 D F)))))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_group_1 B) (tptp.v4_group_1 B) (tptp.l1_group_1 B)) (forall ((C $$unsorted)) (=> (tptp.m1_group_2 C B) (forall ((D $$unsorted)) (=> (tptp.m1_group_2 D B) (=> (= (tptp.k7_group_4 B C D) (tptp.k7_group_4 B D C)) (= (tptp.r1_rlvect_1 (tptp.k8_group_4 B C D) A) (exists ((E $$unsorted)) (and (tptp.m1_subset_1 E (tptp.u1_struct_0 B)) (exists ((F $$unsorted)) (and (tptp.m1_subset_1 F (tptp.u1_struct_0 B)) (= A (tptp.k1_group_1 B E F)) (tptp.r1_rlvect_1 C E) (tptp.r1_rlvect_1 D F))))))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_group_1 B) (tptp.v4_group_1 B) (tptp.l1_group_1 B)) (forall ((C $$unsorted)) (=> (tptp.m1_group_2 C B) (forall ((D $$unsorted)) (=> (tptp.m1_group_2 D B) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_group_1 B) (tptp.v4_group_1 B) (tptp.v7_group_1 B) (tptp.l1_group_1 B)) (= (tptp.r1_rlvect_1 (tptp.k8_group_4 B C D) A) (exists ((E $$unsorted)) (and (tptp.m1_subset_1 E (tptp.u1_struct_0 B)) (exists ((F $$unsorted)) (and (tptp.m1_subset_1 F (tptp.u1_struct_0 B)) (= A (tptp.k1_group_1 B E F)) (tptp.r1_rlvect_1 C E) (tptp.r1_rlvect_1 D F))))))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_group_1 B) (tptp.v4_group_1 B) (tptp.l1_group_1 B)) (forall ((C $$unsorted)) (=> (and (tptp.v1_group_1 C) (tptp.v1_group_3 C B) (tptp.m1_group_2 C B)) (forall ((D $$unsorted)) (=> (and (tptp.v1_group_1 D) (tptp.v1_group_3 D B) (tptp.m1_group_2 D B)) (= (tptp.r1_rlvect_1 (tptp.k8_group_4 B C D) A) (exists ((E $$unsorted)) (and (tptp.m1_subset_1 E (tptp.u1_struct_0 B)) (exists ((F $$unsorted)) (and (tptp.m1_subset_1 F (tptp.u1_struct_0 B)) (= A (tptp.k1_group_1 B E F)) (tptp.r1_rlvect_1 C E) (tptp.r1_rlvect_1 D F)))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_group_2 B A) (forall ((C $$unsorted)) (=> (and (tptp.v1_group_3 C A) (tptp.m1_group_2 C A)) (= (tptp.k7_group_4 A B C) (tptp.k7_group_4 A C B)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m2_finseq_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m2_finseq_1 D (tptp.u1_struct_0 A)) (= (= D (tptp.k1_group_5 A B C)) (and (= (tptp.k3_finseq_1 D) (tptp.k3_finseq_1 B)) (forall ((E $$unsorted)) (=> (tptp.m2_subset_1 E tptp.k1_numbers tptp.k5_numbers) (=> (tptp.r2_hidden E (tptp.k4_finseq_1 B)) (= (tptp.k1_funct_1 D E) (tptp.k2_group_3 A (tptp.k4_finseq_4 tptp.k5_numbers (tptp.u1_struct_0 A) B E) C))))))))))))))) true true true (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m2_finseq_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m2_finseq_1 D _let_1) (= (tptp.k8_finseq_1 _let_1 (tptp.k1_group_5 A C B) (tptp.k1_group_5 A D B)) (tptp.k1_group_5 A (tptp.k8_finseq_1 _let_1 C D) B))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 B _let_1) (= (tptp.k1_group_5 A (tptp.k6_finseq_1 _let_1) B) tptp.k1_xboole_0)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 C _let_1) (= (tptp.k1_group_5 A (tptp.k12_finseq_1 _let_1 B) C) (tptp.k12_finseq_1 _let_1 (tptp.k2_group_3 A B C)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (= (tptp.k1_group_5 A (tptp.k7_rlvect_1 A B C) D) (tptp.k7_rlvect_1 A (tptp.k2_group_3 A B D) (tptp.k2_group_3 A C D))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.u1_struct_0 A)) (= (tptp.k1_group_5 A (tptp.k8_rlvect_1 A B C D) E) (tptp.k8_rlvect_1 A (tptp.k2_group_3 A B E) (tptp.k2_group_3 A C E) (tptp.k2_group_3 A D E))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m2_finseq_1 C (tptp.u1_struct_0 A)) (= (tptp.k3_group_4 A (tptp.k1_group_5 A C B)) (tptp.k2_group_3 A (tptp.k3_group_4 A C) B)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m2_finseq_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m2_finseq_1 D tptp.k4_numbers) (= (tptp.k4_group_4 A D (tptp.k1_group_5 A C B)) (tptp.k1_group_5 A (tptp.k4_group_4 A D C) B)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (tptp.k2_group_5 A B C) (tptp.k1_group_1 A (tptp.k1_group_1 A (tptp.k1_group_1 A (tptp.k3_group_1 A B) (tptp.k3_group_1 A C)) B) C)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k1_group_1 A B C))) (let ((_let_2 (tptp.k3_group_1 A C))) (let ((_let_3 (tptp.k3_group_1 A B))) (let ((_let_4 (tptp.k1_group_1 A _let_3 _let_2))) (let ((_let_5 (tptp.k2_group_5 A B C))) (let ((_let_6 (tptp.k1_group_1 A _let_2 B))) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (and (= _let_5 (tptp.k1_group_1 A (tptp.k1_group_1 A _let_4 B) C)) (= _let_5 (tptp.k1_group_1 A (tptp.k1_group_1 A _let_3 _let_6) C)) (= _let_5 (tptp.k1_group_1 A _let_3 (tptp.k1_group_1 A _let_6 C))) (= _let_5 (tptp.k1_group_1 A _let_3 (tptp.k1_group_1 A _let_2 _let_1))) (= _let_5 (tptp.k1_group_1 A _let_4 _let_1))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (tptp.k2_group_5 A B C) (tptp.k1_group_1 A (tptp.k3_group_1 A (tptp.k1_group_1 A C B)) (tptp.k1_group_1 A B C))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k2_group_5 A B C))) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (and (= _let_1 (tptp.k1_group_1 A (tptp.k2_group_3 A (tptp.k3_group_1 A C) B) C)) (= _let_1 (tptp.k1_group_1 A (tptp.k3_group_1 A B) (tptp.k2_group_3 A B C))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k2_group_1 A))) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (and (= (tptp.k2_group_5 A _let_1 B) _let_1) (= (tptp.k2_group_5 A B _let_1) _let_1))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (= (tptp.k2_group_5 A B B) (tptp.k2_group_1 A)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k2_group_1 A))) (let ((_let_2 (tptp.k3_group_1 A B))) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (and (= (tptp.k2_group_5 A B _let_2) _let_1) (= (tptp.k2_group_5 A _let_2 B) _let_1)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (tptp.k3_group_1 A (tptp.k2_group_5 A B C)) (tptp.k2_group_5 A C B)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (= (tptp.k2_group_3 A (tptp.k2_group_5 A B C) D) (tptp.k2_group_5 A (tptp.k2_group_3 A B D) (tptp.k2_group_3 A C D))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (tptp.k2_group_5 A B C) (tptp.k1_group_1 A (tptp.k1_group_1 A (tptp.k6_group_1 A tptp.np__2 (tptp.k3_group_1 A B)) (tptp.k6_group_1 A tptp.np__2 (tptp.k1_group_1 A B (tptp.k3_group_1 A C)))) (tptp.k6_group_1 A tptp.np__2 C))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (= (tptp.k2_group_5 A (tptp.k1_group_1 A B C) D) (tptp.k1_group_1 A (tptp.k2_group_3 A (tptp.k2_group_5 A B D) C) (tptp.k2_group_5 A C D))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (= (tptp.k2_group_5 A B (tptp.k1_group_1 A C D)) (tptp.k1_group_1 A (tptp.k2_group_5 A B D) (tptp.k2_group_3 A (tptp.k2_group_5 A B C) D))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k3_group_1 A B))) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (tptp.k2_group_5 A _let_1 C) (tptp.k2_group_3 A (tptp.k2_group_5 A C B) _let_1))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k3_group_1 A C))) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (tptp.k2_group_5 A B _let_1) (tptp.k2_group_3 A (tptp.k2_group_5 A C B) _let_1))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k2_group_5 A B C))) (let ((_let_2 (tptp.k2_group_5 A (tptp.k3_group_1 A B) (tptp.k3_group_1 A C)))) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (and (= _let_2 (tptp.k2_group_3 A _let_1 (tptp.k3_group_1 A (tptp.k1_group_1 A B C)))) (= _let_2 (tptp.k2_group_3 A _let_1 (tptp.k3_group_1 A (tptp.k1_group_1 A C B))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k3_group_1 A B))) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (tptp.k2_group_5 A B (tptp.k2_group_3 A C _let_1)) (tptp.k2_group_5 A C _let_1))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k3_group_1 A C))) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (tptp.k2_group_5 A (tptp.k2_group_3 A B _let_1) C) (tptp.k2_group_5 A _let_1 B))))))))) (forall ((A $$unsorted)) (=> (tptp.m2_subset_1 A tptp.k1_numbers tptp.k5_numbers) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_group_1 B) (tptp.v4_group_1 B) (tptp.l1_group_1 B)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 B)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 B)) (= (tptp.k2_group_5 B (tptp.k6_group_1 B A C) D) (tptp.k1_group_1 B (tptp.k6_group_1 B (tptp.k4_xcmplx_0 A) C) (tptp.k6_group_1 B A (tptp.k2_group_3 B C D)))))))))))) (forall ((A $$unsorted)) (=> (tptp.m2_subset_1 A tptp.k1_numbers tptp.k5_numbers) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_group_1 B) (tptp.v4_group_1 B) (tptp.l1_group_1 B)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 B)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k6_group_1 B A D))) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 B)) (= (tptp.k2_group_5 B C _let_1) (tptp.k1_group_1 B (tptp.k6_group_1 B (tptp.k4_xcmplx_0 A) (tptp.k2_group_3 B D C)) _let_1))))))))))) (forall ((A $$unsorted)) (=> (tptp.v1_int_1 A) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_group_1 B) (tptp.v4_group_1 B) (tptp.l1_group_1 B)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 B)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 B)) (= (tptp.k2_group_5 B (tptp.k6_group_1 B A C) D) (tptp.k1_group_1 B (tptp.k6_group_1 B (tptp.k4_xcmplx_0 A) C) (tptp.k6_group_1 B A (tptp.k2_group_3 B C D)))))))))))) (forall ((A $$unsorted)) (=> (tptp.v1_int_1 A) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_group_1 B) (tptp.v4_group_1 B) (tptp.l1_group_1 B)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 B)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k6_group_1 B A D))) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 B)) (= (tptp.k2_group_5 B C _let_1) (tptp.k1_group_1 B (tptp.k6_group_1 B (tptp.k4_xcmplx_0 A) (tptp.k2_group_3 B D C)) _let_1))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (= (tptp.k2_group_5 A B C) (tptp.k2_group_1 A)) (= (tptp.k1_group_1 A B C) (tptp.k1_group_1 A C B))))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.l1_group_1 A))) (let ((_let_2 (tptp.v4_group_1 A))) (let ((_let_3 (tptp.v3_group_1 A))) (let ((_let_4 (not (tptp.v3_struct_0 A)))) (=> (and _let_4 _let_3 _let_2 _let_1) (= (and _let_4 _let_3 _let_2 (tptp.v7_group_1 A) _let_1) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (tptp.k2_group_5 A B C) (tptp.k2_group_1 A))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_group_2 D A) (=> (and (tptp.r1_rlvect_1 D B) (tptp.r1_rlvect_1 D C)) (tptp.r1_rlvect_1 D (tptp.k2_group_5 A B C))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (= (tptp.k3_group_5 A B C D) (tptp.k2_group_5 A (tptp.k2_group_5 A B C) D)))))))))) true (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k2_group_1 A))) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (and (= (tptp.k3_group_5 A B C _let_1) _let_1) (= (tptp.k3_group_5 A B _let_1 C) _let_1) (= (tptp.k3_group_5 A _let_1 B C) _let_1))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (tptp.k3_group_5 A B B C) (tptp.k2_group_1 A)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (tptp.k3_group_5 A B C B) (tptp.k2_group_5 A (tptp.k2_group_3 A B C) B)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (tptp.k3_group_5 A B C C) (tptp.k2_group_3 A (tptp.k1_group_1 A (tptp.k2_group_5 A B (tptp.k3_group_1 A C)) (tptp.k2_group_5 A B C)) C)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (tptp.k3_group_5 A B C (tptp.k2_group_3 A C B)) (tptp.k2_group_5 A C (tptp.k2_group_5 A C B))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (= (tptp.k2_group_5 A (tptp.k1_group_1 A B C) D) (tptp.k1_group_1 A (tptp.k1_group_1 A (tptp.k2_group_5 A B D) (tptp.k3_group_5 A B D C)) (tptp.k2_group_5 A C D))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (= (tptp.k2_group_5 A B (tptp.k1_group_1 A C D)) (tptp.k1_group_1 A (tptp.k1_group_1 A (tptp.k2_group_5 A B D) (tptp.k2_group_5 A B C)) (tptp.k3_group_5 A B C D))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (= (tptp.k1_group_1 A (tptp.k1_group_1 A (tptp.k2_group_3 A (tptp.k3_group_5 A B (tptp.k3_group_1 A C) D) C) (tptp.k2_group_3 A (tptp.k3_group_5 A C (tptp.k3_group_1 A D) B) D)) (tptp.k2_group_3 A (tptp.k3_group_5 A D (tptp.k3_group_1 A B) C) B)) (tptp.k2_group_1 A)))))))))) true (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_group_1 B) (tptp.v4_group_1 B) (tptp.l1_group_1 B)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B))) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B))) (= (tptp.r2_hidden A (tptp.k4_group_5 B C D)) (exists ((E $$unsorted)) (and (tptp.m1_subset_1 E (tptp.u1_struct_0 B)) (exists ((F $$unsorted)) (and (tptp.m1_subset_1 F (tptp.u1_struct_0 B)) (= A (tptp.k2_group_5 B E F)) (tptp.r2_hidden E C) (tptp.r2_hidden F D)))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.k1_subset_1 _let_1))) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 _let_1)) (and (= (tptp.k4_group_5 A _let_2 B) tptp.k1_xboole_0) (= (tptp.k4_group_5 A B _let_2) tptp.k1_xboole_0)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 C _let_1) (= (tptp.k4_group_5 A (tptp.k6_domain_1 _let_1 B) (tptp.k6_domain_1 _let_1 C)) (tptp.k6_domain_1 _let_1 (tptp.k2_group_5 A B C)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (and (tptp.r1_tarski B C) (tptp.r1_tarski D E)) (tptp.r1_tarski (tptp.k4_group_5 A B D) (tptp.k4_group_5 A C E))))))))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.l1_group_1 A))) (let ((_let_2 (tptp.v4_group_1 A))) (let ((_let_3 (tptp.v3_group_1 A))) (let ((_let_4 (not (tptp.v3_struct_0 A)))) (=> (and _let_4 _let_3 _let_2 _let_1) (= (and _let_4 _let_3 _let_2 (tptp.v7_group_1 A) _let_1) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 _let_1)) (not (and (not (= B tptp.k1_xboole_0)) (not (= C tptp.k1_xboole_0)) (not (= (tptp.k4_group_5 A B C) (tptp.k6_domain_1 _let_1 (tptp.k2_group_1 A)))))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_group_2 B A) (forall ((C $$unsorted)) (=> (tptp.m1_group_2 C A) (= (tptp.k5_group_5 A B C) (tptp.k4_group_5 A (tptp.k7_group_2 A B) (tptp.k7_group_2 A C))))))))) true (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_group_1 B) (tptp.v4_group_1 B) (tptp.l1_group_1 B)) (forall ((C $$unsorted)) (=> (tptp.m1_group_2 C B) (forall ((D $$unsorted)) (=> (tptp.m1_group_2 D B) (= (tptp.r2_hidden A (tptp.k5_group_5 B C D)) (exists ((E $$unsorted)) (and (tptp.m1_subset_1 E (tptp.u1_struct_0 B)) (exists ((F $$unsorted)) (and (tptp.m1_subset_1 F (tptp.u1_struct_0 B)) (= A (tptp.k2_group_5 B E F)) (tptp.r1_rlvect_1 C E) (tptp.r1_rlvect_1 D F)))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_group_2 B A) (forall ((C $$unsorted)) (=> (tptp.m1_group_2 C A) (tptp.r2_hidden (tptp.k2_group_1 A) (tptp.k5_group_5 A B C)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k6_domain_1 (tptp.u1_struct_0 A) (tptp.k2_group_1 A)))) (let ((_let_2 (tptp.k5_group_2 A))) (=> (tptp.m1_group_2 B A) (and (= (tptp.k5_group_5 A _let_2 B) _let_1) (= (tptp.k5_group_5 A B _let_2) _let_1)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_group_2 B A) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k7_group_2 A C))) (=> (and (tptp.v1_group_1 C) (tptp.v1_group_3 C A) (tptp.m1_group_2 C A)) (and (tptp.r1_tarski (tptp.k5_group_5 A B C) _let_1) (tptp.r1_tarski (tptp.k5_group_5 A C B) _let_1))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_group_2 B A) (forall ((C $$unsorted)) (=> (tptp.m1_group_2 C A) (forall ((D $$unsorted)) (=> (tptp.m1_group_2 D A) (forall ((E $$unsorted)) (=> (tptp.m1_group_2 E A) (=> (and (tptp.m1_group_2 B C) (tptp.m1_group_2 D E)) (tptp.r1_tarski (tptp.k5_group_5 A B D) (tptp.k5_group_5 A C E))))))))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.l1_group_1 A))) (let ((_let_2 (tptp.v4_group_1 A))) (let ((_let_3 (tptp.v3_group_1 A))) (let ((_let_4 (not (tptp.v3_struct_0 A)))) (=> (and _let_4 _let_3 _let_2 _let_1) (= (and _let_4 _let_3 _let_2 (tptp.v7_group_1 A) _let_1) (forall ((B $$unsorted)) (=> (tptp.m1_group_2 B A) (forall ((C $$unsorted)) (=> (tptp.m1_group_2 C A) (= (tptp.k5_group_5 A B C) (tptp.k6_domain_1 (tptp.u1_struct_0 A) (tptp.k2_group_1 A)))))))))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k6_group_2 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (= (tptp.k6_group_5 A) (tptp.k5_group_5 A _let_1 _let_1))))) true (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_group_1 B) (tptp.v4_group_1 B) (tptp.l1_group_1 B)) (= (tptp.r2_hidden A (tptp.k6_group_5 B)) (exists ((C $$unsorted)) (and (tptp.m1_subset_1 C (tptp.u1_struct_0 B)) (exists ((D $$unsorted)) (and (tptp.m1_subset_1 D (tptp.u1_struct_0 B)) (= A (tptp.k2_group_5 B C D))))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.l1_group_1 A))) (let ((_let_2 (tptp.v4_group_1 A))) (let ((_let_3 (tptp.v3_group_1 A))) (let ((_let_4 (not (tptp.v3_struct_0 A)))) (=> (and _let_4 _let_3 _let_2 _let_1) (= (and _let_4 _let_3 _let_2 (tptp.v7_group_1 A) _let_1) (= (tptp.k6_group_5 A) (tptp.k6_domain_1 (tptp.u1_struct_0 A) (tptp.k2_group_1 A)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (tptp.k7_group_5 A B C) (tptp.k5_group_4 A (tptp.k4_group_5 A B C))))))))) true (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (and (tptp.r2_hidden B D) (tptp.r2_hidden C E)) (tptp.r1_rlvect_1 (tptp.k7_group_5 A D E) (tptp.k2_group_5 A B C))))))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_group_1 B) (tptp.v4_group_1 B) (tptp.l1_group_1 B)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B))) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B))) (= (tptp.r1_rlvect_1 (tptp.k7_group_5 B C D) A) (exists ((E $$unsorted)) (and (tptp.m2_finseq_1 E (tptp.u1_struct_0 B)) (exists ((F $$unsorted)) (and (tptp.m2_finseq_1 F tptp.k4_numbers) (= (tptp.k3_finseq_1 E) (tptp.k3_finseq_1 F)) (tptp.r1_tarski (tptp.k2_relat_1 E) (tptp.k4_group_5 B C D)) (= A (tptp.k3_group_4 B (tptp.k4_group_4 B F E)))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (and (tptp.r1_tarski B C) (tptp.r1_tarski D E)) (tptp.m1_group_2 (tptp.k7_group_5 A B D) (tptp.k7_group_5 A C E))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_group_2 B A) (forall ((C $$unsorted)) (=> (tptp.m1_group_2 C A) (= (tptp.k8_group_5 A B C) (tptp.k7_group_5 A (tptp.k7_group_2 A B) (tptp.k7_group_2 A C))))))))) true (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_group_2 B A) (forall ((C $$unsorted)) (=> (tptp.m1_group_2 C A) (tptp.r1_group_2 A (tptp.k8_group_5 A B C) (tptp.k5_group_4 A (tptp.k5_group_5 A B C))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_group_1 B) (tptp.v4_group_1 B) (tptp.l1_group_1 B)) (forall ((C $$unsorted)) (=> (tptp.m1_group_2 C B) (forall ((D $$unsorted)) (=> (tptp.m1_group_2 D B) (= (tptp.r1_rlvect_1 (tptp.k8_group_5 B C D) A) (exists ((E $$unsorted)) (and (tptp.m2_finseq_1 E (tptp.u1_struct_0 B)) (exists ((F $$unsorted)) (and (tptp.m2_finseq_1 F tptp.k4_numbers) (= (tptp.k3_finseq_1 E) (tptp.k3_finseq_1 F)) (tptp.r1_tarski (tptp.k2_relat_1 E) (tptp.k5_group_5 B C D)) (= A (tptp.k3_group_4 B (tptp.k4_group_4 B F E)))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_group_2 D A) (forall ((E $$unsorted)) (=> (tptp.m1_group_2 E A) (=> (and (tptp.r1_rlvect_1 D B) (tptp.r1_rlvect_1 E C)) (tptp.r1_rlvect_1 (tptp.k8_group_5 A D E) (tptp.k2_group_5 A B C))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_group_2 B A) (forall ((C $$unsorted)) (=> (tptp.m1_group_2 C A) (forall ((D $$unsorted)) (=> (tptp.m1_group_2 D A) (forall ((E $$unsorted)) (=> (tptp.m1_group_2 E A) (=> (and (tptp.m1_group_2 B C) (tptp.m1_group_2 D E)) (tptp.m1_group_2 (tptp.k8_group_5 A B D) (tptp.k8_group_5 A C E))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_group_2 B A) (forall ((C $$unsorted)) (=> (and (tptp.v1_group_1 C) (tptp.v1_group_3 C A) (tptp.m1_group_2 C A)) (and (tptp.m1_group_2 (tptp.k8_group_5 A C B) C) (tptp.m1_group_2 (tptp.k8_group_5 A B C) C)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_group_1 B) (tptp.v1_group_3 B A) (tptp.m1_group_2 B A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k8_group_5 A B C))) (=> (and (tptp.v1_group_1 C) (tptp.v1_group_3 C A) (tptp.m1_group_2 C A)) (and (tptp.v1_group_3 _let_1 A) (tptp.m1_group_2 _let_1 A))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_group_3 B A) (tptp.m1_group_2 B A)) (forall ((C $$unsorted)) (=> (and (tptp.v1_group_3 C A) (tptp.m1_group_2 C A)) (tptp.r1_group_2 A (tptp.k8_group_5 A B C) (tptp.k8_group_5 A C B)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_group_1 B) (tptp.v1_group_3 B A) (tptp.m1_group_2 B A)) (forall ((C $$unsorted)) (=> (and (tptp.v1_group_1 C) (tptp.v1_group_3 C A) (tptp.m1_group_2 C A)) (forall ((D $$unsorted)) (=> (and (tptp.v1_group_1 D) (tptp.v1_group_3 D A) (tptp.m1_group_2 D A)) (tptp.r1_group_2 A (tptp.k8_group_5 A (tptp.k8_group_4 A B C) D) (tptp.k8_group_4 A (tptp.k8_group_5 A B D) (tptp.k8_group_5 A C D))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_group_1 B) (tptp.v1_group_3 B A) (tptp.m1_group_2 B A)) (forall ((C $$unsorted)) (=> (and (tptp.v1_group_1 C) (tptp.v1_group_3 C A) (tptp.m1_group_2 C A)) (forall ((D $$unsorted)) (=> (and (tptp.v1_group_1 D) (tptp.v1_group_3 D A) (tptp.m1_group_2 D A)) (tptp.r1_group_2 A (tptp.k8_group_5 A B (tptp.k8_group_4 A C D)) (tptp.k8_group_4 A (tptp.k8_group_5 A B C) (tptp.k8_group_5 A B D))))))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k6_group_2 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (= (tptp.k9_group_5 A) (tptp.k8_group_5 A _let_1 _let_1))))) true (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (tptp.r1_group_2 A (tptp.k9_group_5 A) (tptp.k5_group_4 A (tptp.k6_group_5 A))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_group_1 B) (tptp.v4_group_1 B) (tptp.l1_group_1 B)) (= (tptp.r1_rlvect_1 (tptp.k9_group_5 B) A) (exists ((C $$unsorted)) (and (tptp.m2_finseq_1 C (tptp.u1_struct_0 B)) (exists ((D $$unsorted)) (and (tptp.m2_finseq_1 D tptp.k4_numbers) (= (tptp.k3_finseq_1 C) (tptp.k3_finseq_1 D)) (tptp.r1_tarski (tptp.k2_relat_1 C) (tptp.k6_group_5 B)) (= A (tptp.k3_group_4 B (tptp.k4_group_4 B D C)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v1_group_1 A) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (tptp.r1_rlvect_1 (tptp.k9_group_5 A) (tptp.k2_group_5 A B C)))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.l1_group_1 A))) (let ((_let_2 (tptp.v4_group_1 A))) (let ((_let_3 (tptp.v3_group_1 A))) (let ((_let_4 (not (tptp.v3_struct_0 A)))) (=> (and _let_4 (tptp.v1_group_1 A) _let_3 _let_2 _let_1) (= (and _let_4 _let_3 _let_2 (tptp.v7_group_1 A) _let_1) (tptp.r1_group_2 A (tptp.k9_group_5 A) (tptp.k5_group_2 A))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_group_1 B) (tptp.m1_group_2 B A)) (=> (and (tptp.v1_finset_1 (tptp.k14_group_2 A B)) (= (tptp.k17_group_2 A B) tptp.np__2)) (tptp.m1_group_2 (tptp.k9_group_5 A) B)))))) true true (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (= (tptp.r1_rlvect_1 (tptp.k10_group_5 A) B) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (tptp.k1_group_1 A B C) (tptp.k1_group_1 A C B))))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k10_group_5 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (and (tptp.v1_group_3 _let_1 A) (tptp.m1_group_2 _let_1 A))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.m1_group_2 B A))) (=> _let_1 (=> (tptp.m1_group_2 B (tptp.k10_group_5 A)) (and (tptp.v1_group_3 B A) _let_1))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (tptp.v7_group_1 (tptp.k10_group_5 A)))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 B _let_1) (= (tptp.r1_rlvect_1 (tptp.k10_group_5 A) B) (= (tptp.k7_group_3 A B) (tptp.k6_domain_1 _let_1 B)))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.l1_group_1 A))) (let ((_let_2 (tptp.v4_group_1 A))) (let ((_let_3 (tptp.v3_group_1 A))) (let ((_let_4 (not (tptp.v3_struct_0 A)))) (=> (and _let_4 (tptp.v1_group_1 A) _let_3 _let_2 _let_1) (= (and _let_4 _let_3 _let_2 (tptp.v7_group_1 A) _let_1) (= (tptp.k10_group_5 A) A)))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A) (tptp.m1_finseq_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (tptp.m2_finseq_1 (tptp.k1_group_5 A B C) _let_1)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A) (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (tptp.m1_subset_1 (tptp.k2_group_5 A B C) _let_1)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A) (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1) (tptp.m1_subset_1 D _let_1)) (tptp.m1_subset_1 (tptp.k3_group_5 A B C D) _let_1)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A) (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (tptp.m1_subset_1 (tptp.k4_group_5 A B C) _let_1)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A) (tptp.m1_group_2 B A) (tptp.m1_group_2 C A)) (tptp.m1_subset_1 (tptp.k5_group_5 A B C) (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (tptp.m1_subset_1 (tptp.k6_group_5 A) (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k7_group_5 A B C))) (let ((_let_2 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A) (tptp.m1_subset_1 B _let_2) (tptp.m1_subset_1 C _let_2)) (and (tptp.v1_group_1 _let_1) (tptp.m1_group_2 _let_1 A)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k8_group_5 A B C))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A) (tptp.m1_group_2 B A) (tptp.m1_group_2 C A)) (and (tptp.v1_group_1 _let_1) (tptp.m1_group_2 _let_1 A))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k9_group_5 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (and (tptp.v1_group_1 _let_1) (tptp.v1_group_3 _let_1 A) (tptp.m1_group_2 _let_1 A))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k10_group_5 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (and (tptp.v1_group_1 _let_1) (tptp.m1_group_2 _let_1 A))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (tptp.k4_group_5 A B C) (tptp.a_3_0_group_5 A B C)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_group_1 B) (tptp.m1_group_2 B A)) (= (= B (tptp.k10_group_5 A)) (= (tptp.u1_struct_0 B) (tptp.a_1_0_group_5 A))))))) (tptp.m1_subset_1 tptp.a_0_0_group_5 (tptp.k1_zfmisc_1 tptp.f2_s1_group_5)) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B)))) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_group_1 B) (tptp.v4_group_1 B) (tptp.l1_group_1 B) (tptp.m1_subset_1 C _let_1) (tptp.m1_subset_1 D _let_1)) (= (tptp.r2_hidden A (tptp.a_3_0_group_5 B C D)) (exists ((E $$unsorted) (F $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (and (tptp.m1_subset_1 E _let_1) (tptp.m1_subset_1 F _let_1) (= A (tptp.k2_group_5 B E F)) (tptp.r2_hidden E C) (tptp.r2_hidden F D)))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_group_1 B) (tptp.v4_group_1 B) (tptp.l1_group_1 B)) (= (tptp.r2_hidden A (tptp.a_1_0_group_5 B)) (exists ((C $$unsorted)) (and (tptp.m1_subset_1 C (tptp.u1_struct_0 B)) (= A C) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 B)) (= (tptp.k1_group_1 B C D) (tptp.k1_group_1 B D C))))))))) (forall ((A $$unsorted)) (= (tptp.r2_hidden A tptp.a_0_0_group_5) (exists ((B $$unsorted) (C $$unsorted) (D $$unsorted)) (and (tptp.m1_subset_1 B tptp.f1_s1_group_5) (tptp.m1_subset_1 C tptp.f2_s1_group_5) (tptp.m1_subset_1 D tptp.f3_s1_group_5) (= A (tptp.f4_s1_group_5 B C D)) (tptp.p1_s1_group_5 B C D))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k5_group_2 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v1_group_1 _let_1) (tptp.v2_group_1 _let_1) (tptp.v3_group_1 _let_1) (tptp.v4_group_1 _let_1) (tptp.v1_group_3 _let_1 A))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k6_group_2 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v1_group_1 _let_1) (tptp.v2_group_1 _let_1) (tptp.v3_group_1 _let_1) (tptp.v4_group_1 _let_1) (tptp.v1_group_3 _let_1 A))))) (exists ((A $$unsorted)) (and (tptp.l1_group_1 A) (not (tptp.v3_struct_0 A)) (tptp.v2_group_1 A) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.v3_realset2 A))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A) (tptp.v1_group_3 B A) (tptp.m1_group_2 B A)) (not (tptp.v1_xboole_0 (tptp.k4_group_6 A B))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k6_group_6 A B))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A) (tptp.v1_group_3 B A) (tptp.m1_group_2 B A)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v1_group_1 _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k6_group_6 A B))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A) (tptp.v1_group_3 B A) (tptp.m1_group_2 B A)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v1_group_1 _let_1) (tptp.v2_group_1 _let_1) (tptp.v3_group_1 _let_1) (tptp.v4_group_1 _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A) (not (tptp.v3_struct_0 B)) (tptp.v3_group_1 B) (tptp.v4_group_1 B) (tptp.l1_group_1 B)) (exists ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (and (tptp.m1_relset_1 C _let_2 _let_1) (not (tptp.v1_xboole_0 C)) (tptp.v1_relat_1 C) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.v1_partfun1 C _let_2 _let_1) (tptp.v1_group_6 C A B))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k12_group_6 A B C))) (let ((_let_2 (tptp.u1_struct_0 B))) (let ((_let_3 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A) (not (tptp.v3_struct_0 B)) (tptp.v3_group_1 B) (tptp.v4_group_1 B) (tptp.l1_group_1 B) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_3 _let_2) (tptp.v1_group_6 C A B) (tptp.m1_relset_1 C _let_3 _let_2)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v1_group_1 _let_1) (tptp.v2_group_1 _let_1) (tptp.v3_group_1 _let_1) (tptp.v4_group_1 _let_1) (tptp.v1_group_3 _let_1 A))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C A B) (tptp.m2_relset_1 C A B)) (= (tptp.v2_funct_1 C) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D A) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E A) (=> (= (tptp.k8_funct_2 A B C D) (tptp.k8_funct_2 A B C E)) (= D E))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_group_2 B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_group_6 D A B) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.u1_struct_0 B)) (=> (= E C) (and (= (tptp.k12_group_2 B D E) (tptp.k12_group_2 A D C)) (= (tptp.k13_group_2 B D E) (tptp.k13_group_2 A D C)))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_group_2 B A) (forall ((C $$unsorted)) (=> (tptp.m1_group_6 C A B) (forall ((D $$unsorted)) (=> (tptp.m1_group_6 D A B) (= (tptp.k9_group_2 A C D) (tptp.k9_group_2 B C D)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k3_group_1 A B))) (let ((_let_2 (tptp.k2_group_3 A C _let_1))) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (and (= (tptp.k1_group_1 A (tptp.k1_group_1 A B C) _let_1) _let_2) (= (tptp.k1_group_1 A B (tptp.k1_group_1 A C _let_1)) _let_2)))))))))) true (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_group_2 B A) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k13_group_2 A B C))) (let ((_let_2 (tptp.k7_group_4 A B B))) (let ((_let_3 (tptp.k12_group_2 A B C))) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (and (= (tptp.k10_group_2 A B _let_3) _let_3) (= (tptp.k3_group_2 A C _let_2) _let_3) (= (tptp.k4_group_2 A C _let_2) _let_1) (= (tptp.k11_group_2 A B _let_1) _let_1))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v1_group_1 A) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_group_1 B) (tptp.m1_group_2 B A)) (= (tptp.m1_group_6 (tptp.k9_group_5 A) A B) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (tptp.r1_rlvect_1 B (tptp.k2_group_5 A C D))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_group_2 B A) (forall ((C $$unsorted)) (let ((_let_1 (tptp.m1_group_6 C A B))) (=> (and (tptp.v1_group_3 C A) (tptp.m1_group_2 C A)) (=> _let_1 (and (tptp.v1_group_3 C B) _let_1))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_group_2 B A) (forall ((C $$unsorted)) (let ((_let_1 (tptp.g1_group_1 (tptp.u1_struct_0 C) (tptp.u1_group_1 C)))) (=> (and (tptp.v1_group_3 C A) (tptp.m1_group_2 C A)) (=> (tptp.m1_group_6 _let_1 A B) (= (tptp.k1_group_6 A B C) _let_1))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_group_2 B A) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k9_group_2 A C B))) (let ((_let_2 (tptp.k9_group_2 A B C))) (=> (and (tptp.v1_group_3 C A) (tptp.m1_group_2 C A)) (and (tptp.v1_group_3 _let_2 B) (tptp.m1_group_6 _let_2 A B) (tptp.v1_group_3 _let_1 B) (tptp.m1_group_6 _let_1 A B)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_struct_0 A)) (= (tptp.v3_realset2 A) (exists ((B $$unsorted)) (= (tptp.u1_struct_0 A) (tptp.k1_tarski B)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (tptp.v3_realset2 (tptp.k5_group_2 A)))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (= (tptp.v3_realset2 A) (and (= (tptp.k9_group_1 A) tptp.np__1) (tptp.v6_group_1 A))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v1_group_1 A) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (=> (tptp.v3_realset2 A) (= (tptp.k5_group_2 A) A)))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_group_3 B A) (tptp.m1_group_2 B A)) (= (tptp.k4_group_6 A B) (tptp.k14_group_2 A B)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k4_group_6 A B))) (=> (and (tptp.v1_group_3 B A) (tptp.m1_group_2 B A)) (and (= _let_1 (tptp.k14_group_2 A B)) (= _let_1 (tptp.k15_group_2 A B)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_group_3 C A) (tptp.m1_group_2 C A)) (not (and (tptp.r2_hidden B (tptp.k4_group_6 A C)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (not (and (= B (tptp.k12_group_2 A C D)) (= B (tptp.k13_group_2 A C D)))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k4_group_6 A C))) (=> (and (tptp.v1_group_3 C A) (tptp.m1_group_2 C A)) (and (tptp.r2_hidden (tptp.k12_group_2 A C B) _let_1) (tptp.r2_hidden (tptp.k13_group_2 A C B) _let_1))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_group_3 C A) (tptp.m1_group_2 C A)) (=> (tptp.r2_hidden B (tptp.k4_group_6 A C)) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k4_group_6 A D))) (=> (and (tptp.v1_group_3 D A) (tptp.m1_group_2 D A)) (=> (and (tptp.r2_hidden B _let_1) (tptp.r2_hidden C _let_1)) (tptp.r2_hidden (tptp.k2_group_2 A B C) _let_1))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_group_3 B A) (tptp.m1_group_2 B A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k4_group_6 A B))) (let ((_let_2 (tptp.k2_zfmisc_1 _let_1 _let_1))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.m2_relset_1 C _let_2 _let_1)) (= (= C (tptp.k5_group_6 A B)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k4_group_6 A B)) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.k4_group_6 A B)) (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((G $$unsorted)) (let ((_let_1 (tptp.k4_group_6 A B))) (=> (tptp.m1_subset_1 G (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (and (= D F) (= E G)) (= (tptp.k2_binop_1 _let_1 _let_1 _let_1 C D E) (tptp.k2_group_2 A F G))))))))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_group_3 B A) (tptp.m1_group_2 B A)) (= (tptp.k6_group_6 A B) (tptp.g1_group_1 (tptp.k4_group_6 A B) (tptp.k5_group_6 A B))))))) true true true (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_group_3 B A) (tptp.m1_group_2 B A)) (= (tptp.u1_struct_0 (tptp.k6_group_6 A B)) (tptp.k4_group_6 A B)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_group_3 B A) (tptp.m1_group_2 B A)) (= (tptp.u1_group_1 (tptp.k6_group_6 A B)) (tptp.k5_group_6 A B)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_group_3 B A) (tptp.m1_group_2 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 (tptp.k6_group_6 A B))) (= (tptp.k7_group_6 A B C) C))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_group_3 B A) (tptp.m1_group_2 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 (tptp.k6_group_6 A B))) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k6_group_6 A B))) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 _let_1)) (= (tptp.k2_group_2 A (tptp.k7_group_6 A B C) (tptp.k7_group_6 A B D)) (tptp.k1_group_1 _let_1 C D))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_group_3 B A) (tptp.m1_group_2 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 (tptp.k6_group_6 A B))) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k6_group_6 A B))) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 _let_1)) (= (tptp.k7_group_6 A B (tptp.k1_group_1 _let_1 C D)) (tptp.k2_group_2 A (tptp.k7_group_6 A B C) (tptp.k7_group_6 A B D)))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_group_3 B A) (tptp.m1_group_2 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 (tptp.k6_group_6 A B))) (exists ((D $$unsorted)) (and (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (= C (tptp.k12_group_2 A B D)) (= C (tptp.k13_group_2 A B D)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 (tptp.k6_group_6 A C)))) (=> (and (tptp.v1_group_3 C A) (tptp.m1_group_2 C A)) (and (tptp.m1_subset_1 (tptp.k13_group_2 A C B) _let_1) (tptp.m1_subset_1 (tptp.k12_group_2 A C B) _let_1) (tptp.m1_subset_1 (tptp.k7_group_2 A C) _let_1))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_group_3 C A) (tptp.m1_group_2 C A)) (= (tptp.r1_rlvect_1 (tptp.k6_group_6 A C) B) (exists ((D $$unsorted)) (and (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (= B (tptp.k12_group_2 A C D)) (= B (tptp.k13_group_2 A C D))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_group_3 B A) (tptp.m1_group_2 B A)) (= (tptp.k2_group_1 (tptp.k6_group_6 A B)) (tptp.k7_group_2 A B)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (and (tptp.v1_group_3 C A) (tptp.m1_group_2 C A)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k6_group_6 A C))) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 _let_1)) (=> (= D (tptp.k12_group_2 A C B)) (= (tptp.k3_group_1 _let_1 D) (tptp.k12_group_2 A C (tptp.k3_group_1 A B))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_group_3 B A) (tptp.m1_group_2 B A)) (=> (tptp.v1_finset_1 (tptp.k14_group_2 A B)) (tptp.v6_group_1 (tptp.k6_group_6 A B))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_group_3 B A) (tptp.m1_group_2 B A)) (= (tptp.k8_group_1 (tptp.k6_group_6 A B)) (tptp.k16_group_2 A B)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_group_3 B A) (tptp.m1_group_2 B A)) (=> (tptp.v1_finset_1 (tptp.k14_group_2 A B)) (= (tptp.k9_group_1 (tptp.k6_group_6 A B)) (tptp.k17_group_2 A B))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_group_2 B A) (forall ((C $$unsorted)) (=> (and (tptp.v1_group_1 C) (tptp.v1_group_3 C A) (tptp.m1_group_2 C A)) (=> (tptp.m1_group_6 C A B) (tptp.m1_group_2 (tptp.k6_group_6 B (tptp.k1_group_6 A B C)) (tptp.k6_group_6 A C))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_group_1 B) (tptp.v1_group_3 B A) (tptp.m1_group_2 B A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k6_group_6 A C))) (let ((_let_2 (tptp.k6_group_6 B (tptp.k1_group_6 A B C)))) (=> (and (tptp.v1_group_1 C) (tptp.v1_group_3 C A) (tptp.m1_group_2 C A)) (=> (tptp.m1_group_6 C A B) (and (tptp.v1_group_3 _let_2 _let_1) (tptp.m1_group_2 _let_2 _let_1))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v1_group_1 A) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k6_group_6 A B))) (=> (and (tptp.v1_group_1 B) (tptp.v1_group_3 B A) (tptp.m1_group_2 B A)) (= (and (not (tptp.v3_struct_0 _let_1)) (tptp.v3_group_1 _let_1) (tptp.v4_group_1 _let_1) (tptp.v7_group_1 _let_1) (tptp.l1_group_1 _let_1)) (tptp.m1_group_6 (tptp.k9_group_5 A) A B))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.l1_group_1 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.m2_relset_1 C _let_2 _let_1)) (= (tptp.v1_group_6 C A B) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (forall ((E $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 E _let_2) (= (tptp.k8_funct_2 _let_2 _let_1 C (tptp.k1_group_1 A D E)) (tptp.k1_group_1 B (tptp.k8_funct_2 _let_2 _let_1 C D) (tptp.k8_funct_2 _let_2 _let_1 C E)))))))))))))))))) true true true (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_group_1 B) (tptp.v4_group_1 B) (tptp.l1_group_1 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.v1_group_6 C A B) (tptp.m2_relset_1 C _let_2 _let_1)) (= (tptp.k8_funct_2 _let_2 _let_1 C (tptp.k2_group_1 A)) (tptp.k2_group_1 B)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_group_1 B) (tptp.v4_group_1 B) (tptp.l1_group_1 B)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D _let_2 _let_1) (tptp.v1_group_6 D A B) (tptp.m2_relset_1 D _let_2 _let_1)) (= (tptp.k8_funct_2 _let_2 _let_1 D (tptp.k3_group_1 A C)) (tptp.k3_group_1 B (tptp.k8_funct_2 _let_2 _let_1 D C))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_group_1 B) (tptp.v4_group_1 B) (tptp.l1_group_1 B)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (forall ((E $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 E) (tptp.v1_funct_2 E _let_2 _let_1) (tptp.v1_group_6 E A B) (tptp.m2_relset_1 E _let_2 _let_1)) (= (tptp.k8_funct_2 _let_2 _let_1 E (tptp.k2_group_3 A C D)) (tptp.k2_group_3 B (tptp.k8_funct_2 _let_2 _let_1 E C) (tptp.k8_funct_2 _let_2 _let_1 E D))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_group_1 B) (tptp.v4_group_1 B) (tptp.l1_group_1 B)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (forall ((E $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 E) (tptp.v1_funct_2 E _let_2 _let_1) (tptp.v1_group_6 E A B) (tptp.m2_relset_1 E _let_2 _let_1)) (= (tptp.k8_funct_2 _let_2 _let_1 E (tptp.k2_group_5 A C D)) (tptp.k2_group_5 B (tptp.k8_funct_2 _let_2 _let_1 E C) (tptp.k8_funct_2 _let_2 _let_1 E D))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_group_1 B) (tptp.v4_group_1 B) (tptp.l1_group_1 B)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.u1_struct_0 A)) (forall ((F $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 F) (tptp.v1_funct_2 F _let_2 _let_1) (tptp.v1_group_6 F A B) (tptp.m2_relset_1 F _let_2 _let_1)) (= (tptp.k8_funct_2 _let_2 _let_1 F (tptp.k3_group_5 A C D E)) (tptp.k3_group_5 B (tptp.k8_funct_2 _let_2 _let_1 F C) (tptp.k8_funct_2 _let_2 _let_1 F D) (tptp.k8_funct_2 _let_2 _let_1 F E))))))))))))))))) (forall ((A $$unsorted)) (=> (tptp.m2_subset_1 A tptp.k1_numbers tptp.k5_numbers) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_group_1 B) (tptp.v4_group_1 B) (tptp.l1_group_1 B)) (forall ((C $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.v3_group_1 C) (tptp.v4_group_1 C) (tptp.l1_group_1 C)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 B)) (forall ((E $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 C))) (let ((_let_2 (tptp.u1_struct_0 B))) (=> (and (tptp.v1_funct_1 E) (tptp.v1_funct_2 E _let_2 _let_1) (tptp.v1_group_6 E B C) (tptp.m2_relset_1 E _let_2 _let_1)) (= (tptp.k8_funct_2 _let_2 _let_1 E (tptp.k6_group_1 B A D)) (tptp.k6_group_1 C A (tptp.k8_funct_2 _let_2 _let_1 E D))))))))))))))) (forall ((A $$unsorted)) (=> (tptp.v1_int_1 A) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_group_1 B) (tptp.v4_group_1 B) (tptp.l1_group_1 B)) (forall ((C $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.v3_group_1 C) (tptp.v4_group_1 C) (tptp.l1_group_1 C)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 B)) (forall ((E $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 C))) (let ((_let_2 (tptp.u1_struct_0 B))) (=> (and (tptp.v1_funct_1 E) (tptp.v1_funct_2 E _let_2 _let_1) (tptp.v1_group_6 E B C) (tptp.m2_relset_1 E _let_2 _let_1)) (= (tptp.k8_funct_2 _let_2 _let_1 E (tptp.k6_group_1 B A D)) (tptp.k6_group_1 C A (tptp.k8_funct_2 _let_2 _let_1 E D))))))))))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.k6_partfun1 _let_1))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (and (tptp.v1_funct_1 _let_2) (tptp.v1_funct_2 _let_2 _let_1 _let_1) (tptp.v1_group_6 _let_2 A A) (tptp.m2_relset_1 _let_2 _let_1 _let_1)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_group_1 B) (tptp.v4_group_1 B) (tptp.l1_group_1 B)) (forall ((C $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.v3_group_1 C) (tptp.v4_group_1 C) (tptp.l1_group_1 C)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.u1_struct_0 B))) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D _let_2 _let_1) (tptp.v1_group_6 D B A) (tptp.m2_relset_1 D _let_2 _let_1)) (forall ((E $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 C))) (let ((_let_2 (tptp.u1_struct_0 B))) (let ((_let_3 (tptp.u1_struct_0 A))) (let ((_let_4 (tptp.k7_funct_2 _let_2 _let_3 _let_1 D E))) (=> (and (tptp.v1_funct_1 E) (tptp.v1_funct_2 E _let_3 _let_1) (tptp.v1_group_6 E A C) (tptp.m2_relset_1 E _let_3 _let_1)) (and (tptp.v1_funct_1 _let_4) (tptp.v1_funct_2 _let_4 _let_2 _let_1) (tptp.v1_group_6 _let_4 B C) (tptp.m2_relset_1 _let_4 _let_2 _let_1)))))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_group_1 B) (tptp.v4_group_1 B) (tptp.l1_group_1 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.v1_group_6 C A B) (tptp.m2_relset_1 C _let_2 _let_1)) (= (= C (tptp.k10_group_6 A B)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 D _let_1) (= (tptp.k8_funct_2 _let_1 (tptp.u1_struct_0 B) C D) (tptp.k2_group_1 B)))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_group_1 B) (tptp.v4_group_1 B) (tptp.l1_group_1 B)) (forall ((C $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.v3_group_1 C) (tptp.v4_group_1 C) (tptp.l1_group_1 C)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D _let_2 _let_1) (tptp.v1_group_6 D A B) (tptp.m2_relset_1 D _let_2 _let_1)) (forall ((E $$unsorted)) (let ((_let_1 (tptp.k10_group_6 A C))) (let ((_let_2 (tptp.u1_struct_0 C))) (let ((_let_3 (tptp.u1_struct_0 B))) (=> (and (tptp.v1_funct_1 E) (tptp.v1_funct_2 E _let_3 _let_2) (tptp.v1_group_6 E B C) (tptp.m2_relset_1 E _let_3 _let_2)) (and (= (tptp.k8_group_6 A B C (tptp.k10_group_6 A B) E) _let_1) (= (tptp.k8_group_6 A B C D (tptp.k10_group_6 B C)) _let_1))))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_group_3 B A) (tptp.m1_group_2 B A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k6_group_6 A B))) (let ((_let_2 (tptp.u1_struct_0 _let_1))) (let ((_let_3 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_3 _let_2) (tptp.v1_group_6 C A _let_1) (tptp.m2_relset_1 C _let_3 _let_2)) (= (= C (tptp.k11_group_6 A B)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 D _let_1) (= (tptp.k8_funct_2 _let_1 (tptp.u1_struct_0 (tptp.k6_group_6 A B)) C D) (tptp.k12_group_2 A B D))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_group_1 B) (tptp.v4_group_1 B) (tptp.l1_group_1 B)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D _let_2 _let_1) (tptp.v1_group_6 D A B) (tptp.m2_relset_1 D _let_2 _let_1)) (= (tptp.r1_rlvect_1 (tptp.k12_group_6 A B D) C) (= (tptp.k8_funct_2 _let_2 _let_1 D C) (tptp.k2_group_1 B))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v1_group_1 A) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v1_group_1 B) (tptp.v3_group_1 B) (tptp.v4_group_1 B) (tptp.l1_group_1 B)) (= (tptp.k12_group_6 A B (tptp.k10_group_6 A B)) A))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_group_1 B) (tptp.v1_group_3 B A) (tptp.m1_group_2 B A)) (tptp.r1_group_2 A (tptp.k12_group_6 A (tptp.k6_group_6 A B) (tptp.k11_group_6 A B)) B))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_group_1 B) (tptp.v4_group_1 B) (tptp.l1_group_1 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.v1_group_6 C A B) (tptp.m2_relset_1 C _let_2 _let_1)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_group_1 D) (tptp.m1_group_2 D B)) (= (= D (tptp.k13_group_6 A B C)) (= (tptp.u1_struct_0 D) (tptp.k2_funct_2 _let_1 (tptp.u1_struct_0 B) C _let_1)))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_group_1 B) (tptp.v4_group_1 B) (tptp.l1_group_1 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.v1_group_6 C A B) (tptp.m2_relset_1 C _let_2 _let_1)) (= (tptp.k9_group_6 A B C) (tptp.u1_struct_0 (tptp.k13_group_6 A B C))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_group_1 B) (tptp.v4_group_1 B) (tptp.l1_group_1 B)) (forall ((C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.u1_struct_0 B))) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D _let_2 _let_1) (tptp.v1_group_6 D B A) (tptp.m2_relset_1 D _let_2 _let_1)) (= (tptp.r1_rlvect_1 (tptp.k13_group_6 B A D) C) (exists ((E $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (and (tptp.m1_subset_1 E _let_1) (= C (tptp.k8_funct_2 _let_1 (tptp.u1_struct_0 A) D E)))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_group_1 B) (tptp.v4_group_1 B) (tptp.l1_group_1 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.v1_group_6 C A B) (tptp.m2_relset_1 C _let_2 _let_1)) (tptp.r1_group_2 B (tptp.k13_group_6 A B C) (tptp.k5_group_4 B (tptp.k9_group_6 A B C))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_group_1 B) (tptp.v4_group_1 B) (tptp.l1_group_1 B)) (tptp.r1_group_2 B (tptp.k13_group_6 A B (tptp.k10_group_6 A B)) (tptp.k5_group_2 B)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k6_group_6 A B))) (=> (and (tptp.v1_group_3 B A) (tptp.m1_group_2 B A)) (= (tptp.k13_group_6 A _let_1 (tptp.k11_group_6 A B)) _let_1)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_group_1 B) (tptp.v4_group_1 B) (tptp.l1_group_1 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k13_group_6 B A C))) (let ((_let_2 (tptp.u1_struct_0 _let_1))) (let ((_let_3 (tptp.u1_struct_0 B))) (let ((_let_4 (tptp.v1_funct_1 C))) (let ((_let_5 (tptp.u1_struct_0 A))) (=> (and _let_4 (tptp.v1_funct_2 C _let_3 _let_5) (tptp.v1_group_6 C B A) (tptp.m2_relset_1 C _let_3 _let_5)) (and _let_4 (tptp.v1_funct_2 C _let_3 _let_2) (tptp.v1_group_6 C B _let_1) (tptp.m2_relset_1 C _let_3 _let_2))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_group_1 B) (tptp.v4_group_1 B) (tptp.l1_group_1 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.u1_struct_0 B))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.v1_group_6 C B A) (tptp.m2_relset_1 C _let_2 _let_1)) (=> (tptp.v6_group_1 B) (tptp.v6_group_1 (tptp.k13_group_6 B A C))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_group_1 B) (tptp.v4_group_1 B) (tptp.l1_group_1 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.u1_struct_0 B))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.v1_group_6 C B A) (tptp.m2_relset_1 C _let_2 _let_1)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_group_1 B) (tptp.v4_group_1 B) (tptp.v7_group_1 B) (tptp.l1_group_1 B)) (tptp.v7_group_1 (tptp.k13_group_6 B A C))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_group_1 B) (tptp.v4_group_1 B) (tptp.l1_group_1 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.u1_struct_0 B))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.v1_group_6 C B A) (tptp.m2_relset_1 C _let_2 _let_1)) (tptp.r1_tarski (tptp.k8_group_1 (tptp.k13_group_6 B A C)) (tptp.k8_group_1 B)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_group_1 B) (tptp.v4_group_1 B) (tptp.l1_group_1 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.u1_struct_0 B))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.v1_group_6 C B A) (tptp.m2_relset_1 C _let_2 _let_1)) (=> (tptp.v6_group_1 B) (tptp.r1_xreal_0 (tptp.k9_group_1 (tptp.k13_group_6 B A C)) (tptp.k9_group_1 B))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_group_1 B) (tptp.v4_group_1 B) (tptp.l1_group_1 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.v1_group_6 C A B) (tptp.m2_relset_1 C _let_2 _let_1)) (= (tptp.v2_group_6 C A B) (tptp.v2_funct_1 C)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_group_1 B) (tptp.v4_group_1 B) (tptp.l1_group_1 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.v1_group_6 C A B) (tptp.m2_relset_1 C _let_2 _let_1)) (= (tptp.v3_group_6 C A B) (= (tptp.k9_group_6 A B C) _let_1)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_group_1 B) (tptp.v4_group_1 B) (tptp.l1_group_1 B)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 B)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D _let_2 _let_1) (tptp.v1_group_6 D A B) (tptp.m2_relset_1 D _let_2 _let_1)) (=> (and (tptp.v2_group_6 D A B) (tptp.r1_rlvect_1 (tptp.k13_group_6 A B D) C)) (= (tptp.k1_funct_1 D (tptp.k1_funct_1 (tptp.k2_funct_1 D) C)) C)))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_group_1 B) (tptp.v4_group_1 B) (tptp.l1_group_1 B)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D _let_2 _let_1) (tptp.v1_group_6 D A B) (tptp.m2_relset_1 D _let_2 _let_1)) (=> (tptp.v2_group_6 D A B) (= (tptp.k1_funct_1 (tptp.k2_funct_1 D) (tptp.k8_funct_2 _let_2 _let_1 D C)) C)))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_group_1 B) (tptp.v4_group_1 B) (tptp.l1_group_1 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.k13_group_6 B A C))) (let ((_let_3 (tptp.u1_struct_0 _let_2))) (let ((_let_4 (tptp.k2_funct_1 C))) (let ((_let_5 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_1 _let_5) (tptp.v1_group_6 C B A) (tptp.m2_relset_1 C _let_1 _let_5)) (=> (tptp.v2_group_6 C B A) (and (tptp.v1_funct_1 _let_4) (tptp.v1_funct_2 _let_4 _let_3 _let_1) (tptp.v1_group_6 _let_4 _let_2 B) (tptp.m2_relset_1 _let_4 _let_3 _let_1)))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_group_1 B) (tptp.v4_group_1 B) (tptp.l1_group_1 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.u1_struct_0 B))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.v1_group_6 C B A) (tptp.m2_relset_1 C _let_2 _let_1)) (= (tptp.v2_group_6 C B A) (tptp.r1_group_2 B (tptp.k12_group_6 B A C) (tptp.k5_group_2 B))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v1_group_1 B) (tptp.v3_group_1 B) (tptp.v4_group_1 B) (tptp.l1_group_1 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.v1_group_6 C A B) (tptp.m2_relset_1 C _let_2 _let_1)) (= (tptp.v3_group_6 C A B) (= (tptp.k13_group_6 A B C) B)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v1_group_1 B) (tptp.v3_group_1 B) (tptp.v4_group_1 B) (tptp.l1_group_1 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.v1_group_6 C A B) (tptp.m2_relset_1 C _let_2 _let_1)) (=> (tptp.v3_group_6 C A B) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 B)) (exists ((E $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (and (tptp.m1_subset_1 E _let_1) (= (tptp.k8_funct_2 _let_1 (tptp.u1_struct_0 B) C E) D))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_group_3 B A) (tptp.m1_group_2 B A)) (tptp.v3_group_6 (tptp.k11_group_6 A B) A (tptp.k6_group_6 A B)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_group_1 B) (tptp.v4_group_1 B) (tptp.l1_group_1 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.v1_group_6 C A B) (tptp.m2_relset_1 C _let_2 _let_1)) (= (tptp.v4_group_6 C A B) (and (tptp.v3_group_6 C A B) (tptp.v2_group_6 C A B))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_group_1 B) (tptp.v4_group_1 B) (tptp.l1_group_1 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.v1_group_6 C A B) (tptp.m2_relset_1 C _let_2 _let_1)) (= (tptp.v4_group_6 C A B) (and (= (tptp.k9_group_6 A B C) _let_1) (tptp.v2_funct_1 C))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_group_1 B) (tptp.v4_group_1 B) (tptp.l1_group_1 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.v1_group_6 C A B) (tptp.m2_relset_1 C _let_2 _let_1)) (=> (tptp.v4_group_6 C A B) (and (= (tptp.k1_relat_1 C) _let_2) (= (tptp.k9_group_6 A B C) _let_1))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v1_group_1 B) (tptp.v3_group_1 B) (tptp.v4_group_1 B) (tptp.l1_group_1 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.u1_struct_0 B))) (let ((_let_3 (tptp.k2_funct_1 C))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_1 _let_2) (tptp.v1_group_6 C A B) (tptp.m2_relset_1 C _let_1 _let_2)) (=> (tptp.v4_group_6 C A B) (and (tptp.v1_funct_1 _let_3) (tptp.v1_funct_2 _let_3 _let_2 _let_1) (tptp.v1_group_6 _let_3 B A) (tptp.m2_relset_1 _let_3 _let_2 _let_1)))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_group_1 B) (tptp.v4_group_1 B) (tptp.l1_group_1 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.u1_struct_0 B))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.v1_group_6 C B A) (tptp.m2_relset_1 C _let_2 _let_1)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D _let_2 _let_1) (tptp.v1_group_6 D A B) (tptp.m2_relset_1 D _let_2 _let_1)) (=> (and (tptp.v4_group_6 C B A) (= D (tptp.k2_funct_1 C))) (tptp.v4_group_6 D A B)))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_group_1 B) (tptp.v4_group_1 B) (tptp.l1_group_1 B)) (forall ((C $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.v3_group_1 C) (tptp.v4_group_1 C) (tptp.l1_group_1 C)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D _let_2 _let_1) (tptp.v1_group_6 D A B) (tptp.m2_relset_1 D _let_2 _let_1)) (forall ((E $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 C))) (let ((_let_2 (tptp.u1_struct_0 B))) (=> (and (tptp.v1_funct_1 E) (tptp.v1_funct_2 E _let_2 _let_1) (tptp.v1_group_6 E B C) (tptp.m2_relset_1 E _let_2 _let_1)) (=> (and (tptp.v4_group_6 D A B) (tptp.v4_group_6 E B C)) (tptp.v4_group_6 (tptp.k8_group_6 A B C D E) A C)))))))))))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k5_group_2 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (tptp.v4_group_6 (tptp.k11_group_6 A _let_1) A (tptp.k6_group_6 A _let_1))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_group_1 B) (tptp.v4_group_1 B) (tptp.l1_group_1 B)) (= (tptp.r1_group_6 A B) (exists ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.v1_group_6 C A B) (tptp.m2_relset_1 C _let_2 _let_1) (tptp.v4_group_6 C A B)))))))))) true (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v1_group_1 A) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v1_group_1 B) (tptp.v3_group_1 B) (tptp.v4_group_1 B) (tptp.l1_group_1 B)) (=> (tptp.r1_group_6 A B) (tptp.r1_group_6 B A)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_group_1 B) (tptp.v4_group_1 B) (tptp.l1_group_1 B)) (forall ((C $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.v3_group_1 C) (tptp.v4_group_1 C) (tptp.l1_group_1 C)) (=> (and (tptp.r1_group_6 A B) (tptp.r1_group_6 B C)) (tptp.r1_group_6 A C)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_group_1 B) (tptp.v4_group_1 B) (tptp.l1_group_1 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.u1_struct_0 B))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.v1_group_6 C B A) (tptp.m2_relset_1 C _let_2 _let_1)) (=> (tptp.v2_group_6 C B A) (tptp.r1_group_6 B (tptp.k13_group_6 B A C))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v1_group_1 A) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v1_group_1 B) (tptp.v3_group_1 B) (tptp.v4_group_1 B) (tptp.l1_group_1 B)) (=> (and (tptp.v3_realset2 A) (tptp.v3_realset2 B)) (tptp.r2_group_6 A B)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_group_1 B) (tptp.v4_group_1 B) (tptp.l1_group_1 B)) (tptp.r2_group_6 (tptp.k5_group_2 A) (tptp.k5_group_2 B)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v1_group_1 A) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (tptp.r2_group_6 A (tptp.k6_group_6 A (tptp.k5_group_2 A))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (tptp.v3_realset2 (tptp.k6_group_6 A (tptp.k6_group_2 A))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v1_group_1 A) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v1_group_1 B) (tptp.v3_group_1 B) (tptp.v4_group_1 B) (tptp.l1_group_1 B)) (=> (tptp.r2_group_6 A B) (= (tptp.k8_group_1 A) (tptp.k8_group_1 B))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_group_1 B) (tptp.v4_group_1 B) (tptp.l1_group_1 B)) (=> (and (tptp.r1_group_6 A B) (tptp.v6_group_1 A)) (tptp.v6_group_1 B)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v1_group_1 A) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v1_group_1 B) (tptp.v3_group_1 B) (tptp.v4_group_1 B) (tptp.l1_group_1 B)) (=> (and (tptp.r2_group_6 A B) (tptp.v6_group_1 A)) (= (tptp.k9_group_1 A) (tptp.k9_group_1 B))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v1_group_1 A) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v1_group_1 B) (tptp.v3_group_1 B) (tptp.v4_group_1 B) (tptp.l1_group_1 B)) (=> (and (tptp.r2_group_6 A B) (tptp.v3_realset2 A)) (tptp.v3_realset2 B)))))) true (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.l1_group_1 B))) (let ((_let_2 (tptp.v4_group_1 B))) (let ((_let_3 (tptp.v3_group_1 B))) (let ((_let_4 (not (tptp.v3_struct_0 B)))) (=> (and _let_4 (tptp.v1_group_1 B) _let_3 _let_2 _let_1) (=> (and (tptp.r1_group_6 A B) (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.v7_group_1 A) (tptp.l1_group_1 A)) (and _let_4 _let_3 _let_2 (tptp.v7_group_1 B) _let_1)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_group_1 B) (tptp.v4_group_1 B) (tptp.l1_group_1 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.u1_struct_0 B))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.v1_group_6 C B A) (tptp.m2_relset_1 C _let_2 _let_1)) (tptp.r2_group_6 (tptp.k6_group_6 B (tptp.k12_group_6 B A C)) (tptp.k13_group_6 B A C)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_group_1 B) (tptp.v4_group_1 B) (tptp.l1_group_1 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.u1_struct_0 B))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.v1_group_6 C B A) (tptp.m2_relset_1 C _let_2 _let_1)) (exists ((D $$unsorted)) (let ((_let_1 (tptp.k12_group_6 B A C))) (let ((_let_2 (tptp.k13_group_6 B A C))) (let ((_let_3 (tptp.k6_group_6 B _let_1))) (let ((_let_4 (tptp.u1_struct_0 _let_2))) (let ((_let_5 (tptp.u1_struct_0 _let_3))) (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D _let_5 _let_4) (tptp.v1_group_6 D _let_3 _let_2) (tptp.m2_relset_1 D _let_5 _let_4) (tptp.v4_group_6 D _let_3 _let_2) (= C (tptp.k8_group_6 B _let_3 _let_2 (tptp.k11_group_6 B _let_1) D))))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_group_3 B A) (tptp.m1_group_2 B A)) (forall ((C $$unsorted)) (=> (and (tptp.v1_group_1 C) (tptp.v1_group_3 C A) (tptp.m1_group_2 C A)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k6_group_6 A C))) (=> (and (tptp.v1_group_1 D) (tptp.v1_group_3 D _let_1) (tptp.m1_group_2 D _let_1)) (=> (and (= D (tptp.k6_group_6 B (tptp.k1_group_6 A B C))) (tptp.m1_group_6 C A B)) (tptp.r2_group_6 (tptp.k6_group_6 _let_1 D) (tptp.k6_group_6 A B)))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_group_2 B A) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k8_group_4 A B C))) (=> (and (tptp.v1_group_1 C) (tptp.v1_group_3 C A) (tptp.m1_group_2 C A)) (tptp.r2_group_6 (tptp.k6_group_6 _let_1 (tptp.k1_group_6 A _let_1 C)) (tptp.k6_group_6 B (tptp.k2_group_6 A B C)))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A) (tptp.m1_group_2 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_group_6 C A B) (tptp.m1_group_2 C A))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A) (tptp.m1_group_2 B A)) (exists ((C $$unsorted)) (tptp.m1_group_6 C A B)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A) (tptp.m1_group_2 B A)) (forall ((C $$unsorted)) (= (tptp.m1_group_6 C A B) (tptp.m1_group_2 C B))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A) (not (tptp.v3_struct_0 B)) (tptp.v3_group_1 B) (tptp.v4_group_1 B) (tptp.l1_group_1 B)) (tptp.r1_group_6 A A))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v1_group_1 A) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A) (not (tptp.v3_struct_0 B)) (tptp.v1_group_1 B) (tptp.v3_group_1 B) (tptp.v4_group_1 B) (tptp.l1_group_1 B)) (=> (tptp.r2_group_6 A B) (tptp.r2_group_6 B A)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v1_group_1 A) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A) (not (tptp.v3_struct_0 B)) (tptp.v1_group_1 B) (tptp.v3_group_1 B) (tptp.v4_group_1 B) (tptp.l1_group_1 B)) (tptp.r2_group_6 A A))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v1_group_1 A) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A) (not (tptp.v3_struct_0 B)) (tptp.v1_group_1 B) (tptp.v3_group_1 B) (tptp.v4_group_1 B) (tptp.l1_group_1 B)) (= (tptp.r2_group_6 A B) (tptp.r1_group_6 A B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k1_group_6 A B C))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A) (tptp.m1_group_2 B A) (tptp.v1_group_3 C A) (tptp.m1_group_2 C A)) (and (tptp.v1_group_1 _let_1) (tptp.v1_group_3 _let_1 B) (tptp.m1_group_6 _let_1 A B))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k2_group_6 A B C))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A) (tptp.m1_group_2 B A) (tptp.v1_group_3 C A) (tptp.m1_group_2 C A)) (and (tptp.v1_group_1 _let_1) (tptp.v1_group_3 _let_1 B) (tptp.m1_group_6 _let_1 A B))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A) (tptp.m1_group_2 B A) (tptp.v1_group_3 C A) (tptp.m1_group_2 C A)) (= (tptp.k2_group_6 A B C) (tptp.k8_group_2 A B C)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k3_group_6 A B C))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A) (tptp.v1_group_3 B A) (tptp.m1_group_2 B A) (tptp.m1_group_2 C A)) (and (tptp.v1_group_1 _let_1) (tptp.v1_group_3 _let_1 C) (tptp.m1_group_6 _let_1 A C))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A) (tptp.v1_group_3 B A) (tptp.m1_group_2 B A) (tptp.m1_group_2 C A)) (= (tptp.k3_group_6 A B C) (tptp.k8_group_2 A B C)))) true (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k4_group_6 A B))) (let ((_let_2 (tptp.k2_zfmisc_1 _let_1 _let_1))) (let ((_let_3 (tptp.k5_group_6 A B))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A) (tptp.v1_group_3 B A) (tptp.m1_group_2 B A)) (and (tptp.v1_funct_1 _let_3) (tptp.v1_funct_2 _let_3 _let_2 _let_1) (tptp.m2_relset_1 _let_3 _let_2 _let_1))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A) (tptp.v1_group_3 B A) (tptp.m1_group_2 B A)) (tptp.l1_group_1 (tptp.k6_group_6 A B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A) (tptp.v1_group_3 B A) (tptp.m1_group_2 B A) (tptp.m1_subset_1 C (tptp.u1_struct_0 (tptp.k6_group_6 A B)))) (tptp.m1_subset_1 (tptp.k7_group_6 A B C) (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 C))) (let ((_let_2 (tptp.u1_struct_0 A))) (let ((_let_3 (tptp.k8_group_6 A B C D E))) (let ((_let_4 (tptp.u1_struct_0 B))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A) (not (tptp.v3_struct_0 B)) (tptp.v3_group_1 B) (tptp.v4_group_1 B) (tptp.l1_group_1 B) (not (tptp.v3_struct_0 C)) (tptp.v3_group_1 C) (tptp.v4_group_1 C) (tptp.l1_group_1 C) (tptp.v1_funct_1 D) (tptp.v1_funct_2 D _let_2 _let_4) (tptp.v1_group_6 D A B) (tptp.m1_relset_1 D _let_2 _let_4) (tptp.v1_funct_1 E) (tptp.v1_funct_2 E _let_4 _let_1) (tptp.v1_group_6 E B C) (tptp.m1_relset_1 E _let_4 _let_1)) (and (tptp.v1_funct_1 _let_3) (tptp.v1_funct_2 _let_3 _let_2 _let_1) (tptp.v1_group_6 _let_3 A C) (tptp.m2_relset_1 _let_3 _let_2 _let_1)))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 C))) (let ((_let_2 (tptp.u1_struct_0 B))) (let ((_let_3 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A) (not (tptp.v3_struct_0 B)) (tptp.v3_group_1 B) (tptp.v4_group_1 B) (tptp.l1_group_1 B) (not (tptp.v3_struct_0 C)) (tptp.v3_group_1 C) (tptp.v4_group_1 C) (tptp.l1_group_1 C) (tptp.v1_funct_1 D) (tptp.v1_funct_2 D _let_3 _let_2) (tptp.v1_group_6 D A B) (tptp.m1_relset_1 D _let_3 _let_2) (tptp.v1_funct_1 E) (tptp.v1_funct_2 E _let_2 _let_1) (tptp.v1_group_6 E B C) (tptp.m1_relset_1 E _let_2 _let_1)) (= (tptp.k8_group_6 A B C D E) (tptp.k5_relat_1 D E))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A) (not (tptp.v3_struct_0 B)) (tptp.v3_group_1 B) (tptp.v4_group_1 B) (tptp.l1_group_1 B) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.v1_group_6 C A B) (tptp.m1_relset_1 C _let_2 _let_1)) (tptp.m1_subset_1 (tptp.k9_group_6 A B C) (tptp.k1_zfmisc_1 _let_1)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A) (not (tptp.v3_struct_0 B)) (tptp.v3_group_1 B) (tptp.v4_group_1 B) (tptp.l1_group_1 B) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.v1_group_6 C A B) (tptp.m1_relset_1 C _let_2 _let_1)) (= (tptp.k9_group_6 A B C) (tptp.k2_relat_1 C)))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (let ((_let_3 (tptp.k10_group_6 A B))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A) (not (tptp.v3_struct_0 B)) (tptp.v3_group_1 B) (tptp.v4_group_1 B) (tptp.l1_group_1 B)) (and (tptp.v1_funct_1 _let_3) (tptp.v1_funct_2 _let_3 _let_2 _let_1) (tptp.v1_group_6 _let_3 A B) (tptp.m2_relset_1 _let_3 _let_2 _let_1))))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k6_group_6 A B))) (let ((_let_2 (tptp.u1_struct_0 _let_1))) (let ((_let_3 (tptp.u1_struct_0 A))) (let ((_let_4 (tptp.k11_group_6 A B))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A) (tptp.v1_group_3 B A) (tptp.m1_group_2 B A)) (and (tptp.v1_funct_1 _let_4) (tptp.v1_funct_2 _let_4 _let_3 _let_2) (tptp.v1_group_6 _let_4 A _let_1) (tptp.m2_relset_1 _let_4 _let_3 _let_2)))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k12_group_6 A B C))) (let ((_let_2 (tptp.u1_struct_0 B))) (let ((_let_3 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A) (not (tptp.v3_struct_0 B)) (tptp.v3_group_1 B) (tptp.v4_group_1 B) (tptp.l1_group_1 B) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_3 _let_2) (tptp.v1_group_6 C A B) (tptp.m1_relset_1 C _let_3 _let_2)) (and (tptp.v1_group_1 _let_1) (tptp.m1_group_2 _let_1 A))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k13_group_6 A B C))) (let ((_let_2 (tptp.u1_struct_0 B))) (let ((_let_3 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A) (not (tptp.v3_struct_0 B)) (tptp.v3_group_1 B) (tptp.v4_group_1 B) (tptp.l1_group_1 B) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_3 _let_2) (tptp.v1_group_6 C A B) (tptp.m1_relset_1 C _let_3 _let_2)) (and (tptp.v1_group_1 _let_1) (tptp.m1_group_2 _let_1 B))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (= B (tptp.a_1_0_group_6 A)) (tptp.r1_group_2 A (tptp.k9_group_5 A) (tptp.k5_group_4 A B))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_group_1 B) (tptp.v4_group_1 B) (tptp.l1_group_1 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.v1_group_6 C A B) (tptp.m2_relset_1 C _let_2 _let_1)) (forall ((D $$unsorted)) (=> (and (tptp.v1_group_1 D) (tptp.m1_group_2 D A)) (= (= D (tptp.k12_group_6 A B C)) (= (tptp.u1_struct_0 D) (tptp.a_3_0_group_6 A B C))))))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_group_1 B) (tptp.v4_group_1 B) (tptp.l1_group_1 B)) (= (tptp.r2_hidden A (tptp.a_1_0_group_6 B)) (exists ((C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (and (tptp.m1_subset_1 C _let_1) (tptp.m1_subset_1 D _let_1) (= A (tptp.k2_group_5 B C D)))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 C))) (let ((_let_2 (tptp.u1_struct_0 B))) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_group_1 B) (tptp.v4_group_1 B) (tptp.l1_group_1 B) (not (tptp.v3_struct_0 C)) (tptp.v3_group_1 C) (tptp.v4_group_1 C) (tptp.l1_group_1 C) (tptp.v1_funct_1 D) (tptp.v1_funct_2 D _let_2 _let_1) (tptp.v1_group_6 D B C) (tptp.m2_relset_1 D _let_2 _let_1)) (= (tptp.r2_hidden A (tptp.a_3_0_group_6 B C D)) (exists ((E $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (and (tptp.m1_subset_1 E _let_1) (= A E) (= (tptp.k8_funct_2 _let_1 (tptp.u1_struct_0 C) D E) (tptp.k2_group_1 C)))))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k10_group_5 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v1_group_1 _let_1) (tptp.v2_group_1 _let_1) (tptp.v3_group_1 _let_1) (tptp.v4_group_1 _let_1) (tptp.v1_group_3 _let_1 A))))) true true true true true (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m2_subset_1 D tptp.k1_numbers tptp.k5_numbers) (not (and (not (tptp.r1_xreal_0 (tptp.k7_group_1 A B) tptp.np__1)) (= B (tptp.k6_group_1 A D C)) (= D tptp.np__0))))))))))) true (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (tptp.r1_rlvect_1 (tptp.k5_group_4 A (tptp.k1_struct_0 A B)) B))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_group_2 B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 B)) (=> (= C D) (= (tptp.k5_group_4 A (tptp.k1_struct_0 A C)) (tptp.k5_group_4 B (tptp.k1_struct_0 B D)))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k5_group_4 A (tptp.k1_struct_0 A B)))) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v3_group_1 _let_1) (tptp.v4_group_1 _let_1) (tptp.v1_gr_cy_1 _let_1) (tptp.l1_group_1 _let_1))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v1_group_1 A) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (= (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (exists ((D $$unsorted)) (and (tptp.v1_int_1 D) (= C (tptp.k6_group_1 A D B)))))) (= A (tptp.k5_group_4 A (tptp.k1_struct_0 A B)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v1_group_1 A) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (=> (tptp.v6_group_1 A) (= (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (exists ((D $$unsorted)) (and (tptp.m2_subset_1 D tptp.k1_numbers tptp.k5_numbers) (= C (tptp.k6_group_1 A D B)))))) (= A (tptp.k5_group_4 A (tptp.k1_struct_0 A B))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v1_group_1 A) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (=> (and (tptp.v6_group_1 A) (= A (tptp.k5_group_4 A (tptp.k1_struct_0 A B)))) (forall ((C $$unsorted)) (=> (and (tptp.v1_group_1 C) (tptp.m1_group_2 C A)) (exists ((D $$unsorted)) (and (tptp.m2_subset_1 D tptp.k1_numbers tptp.k5_numbers) (tptp.r1_group_2 A C (tptp.k5_group_4 A (tptp.k1_struct_0 A (tptp.k6_group_1 A D B))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m2_subset_1 C tptp.k1_numbers tptp.k5_numbers) (forall ((D $$unsorted)) (=> (tptp.m2_subset_1 D tptp.k1_numbers tptp.k5_numbers) (forall ((E $$unsorted)) (=> (tptp.m2_subset_1 E tptp.k1_numbers tptp.k5_numbers) (=> (and (tptp.v6_group_1 A) (= A (tptp.k5_group_4 A (tptp.k1_struct_0 A B))) (= (tptp.k9_group_1 A) C) (= C (tptp.k2_nat_1 D E))) (= (tptp.k7_group_1 A (tptp.k6_group_1 A D B)) E)))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m2_subset_1 C tptp.k1_numbers tptp.k5_numbers) (forall ((D $$unsorted)) (=> (tptp.m2_subset_1 D tptp.k1_numbers tptp.k5_numbers) (=> (tptp.r1_nat_1 C D) (tptp.r1_rlvect_1 (tptp.k5_group_4 A (tptp.k1_struct_0 A (tptp.k6_group_1 A C B))) (tptp.k6_group_1 A D B))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m2_subset_1 C tptp.k1_numbers tptp.k5_numbers) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k6_group_1 A D B))) (let ((_let_2 (tptp.k5_group_4 A (tptp.k1_struct_0 A _let_1)))) (let ((_let_3 (tptp.k5_group_4 A (tptp.k1_struct_0 A (tptp.k6_group_1 A C B))))) (=> (tptp.m2_subset_1 D tptp.k1_numbers tptp.k5_numbers) (=> (and (tptp.v6_group_1 A) (= (tptp.k9_group_1 _let_3) (tptp.k9_group_1 _let_2)) (tptp.r1_rlvect_1 _let_3 _let_1)) (tptp.r1_group_2 A _let_3 _let_2))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_group_2 B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m2_subset_1 D tptp.k1_numbers tptp.k5_numbers) (forall ((E $$unsorted)) (=> (tptp.m2_subset_1 E tptp.k1_numbers tptp.k5_numbers) (forall ((F $$unsorted)) (=> (tptp.m2_subset_1 F tptp.k1_numbers tptp.k5_numbers) (=> (and (tptp.v6_group_1 A) (= (tptp.k9_group_1 A) D) (= A (tptp.k5_group_4 A (tptp.k1_struct_0 A C))) (= (tptp.k9_group_1 B) E) (= B (tptp.k5_group_4 A (tptp.k1_struct_0 A (tptp.k6_group_1 A F C))))) (tptp.r1_nat_1 D (tptp.k2_nat_1 F E))))))))))))))) (forall ((A $$unsorted)) (=> (tptp.m2_subset_1 A tptp.k1_numbers tptp.k5_numbers) (forall ((B $$unsorted)) (=> (tptp.m2_subset_1 B tptp.k1_numbers tptp.k5_numbers) (forall ((C $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.v1_group_1 C) (tptp.v3_group_1 C) (tptp.v4_group_1 C) (tptp.l1_group_1 C)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 C)) (=> (and (tptp.v6_group_1 C) (= C (tptp.k5_group_4 C (tptp.k1_struct_0 C D))) (= (tptp.k9_group_1 C) A)) (= (= C (tptp.k5_group_4 C (tptp.k1_struct_0 C (tptp.k6_group_1 C B D)))) (= (tptp.k6_nat_1 B A) tptp.np__1))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.v1_gr_cy_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_group_2 B A) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 C _let_1) (=> (and (= A (tptp.k5_group_4 A (tptp.k1_struct_0 A C))) (tptp.r1_rlvect_1 B C)) (= (tptp.g1_group_1 _let_1 (tptp.u1_group_1 A)) (tptp.g1_group_1 (tptp.u1_struct_0 B) (tptp.u1_group_1 B))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.v1_gr_cy_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (=> (= A (tptp.k5_group_4 A (tptp.k1_struct_0 A B))) (= (tptp.v6_group_1 A) (exists ((C $$unsorted)) (and (tptp.v1_int_1 C) (exists ((D $$unsorted)) (and (tptp.v1_int_1 D) (not (= C D)) (= (tptp.k6_group_1 A C B) (tptp.k6_group_1 A D B)))))))))))) (forall ((A $$unsorted)) (=> (tptp.m2_subset_1 A tptp.k1_numbers tptp.k5_numbers) (=> (not (tptp.r1_xreal_0 A tptp.np__0)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 (tptp.k5_gr_cy_1 A))) (= (tptp.k1_gr_cy_2 A B) B)))))) (forall ((A $$unsorted)) (=> (tptp.m2_subset_1 A tptp.k1_numbers tptp.k5_numbers) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v1_group_1 B) (tptp.v3_group_1 B) (tptp.v4_group_1 B) (tptp.v1_gr_cy_1 B) (tptp.l1_group_1 B)) (=> (and (tptp.v6_group_1 B) (= (tptp.k9_group_1 B) A)) (tptp.r2_group_6 (tptp.k5_gr_cy_1 A) B)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v1_group_1 A) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.v1_gr_cy_1 A) (tptp.l1_group_1 A)) (=> (not (tptp.v6_group_1 A)) (tptp.r2_group_6 tptp.k3_gr_cy_1 A)))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v1_group_1 A) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.v1_gr_cy_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v1_group_1 B) (tptp.v3_group_1 B) (tptp.v4_group_1 B) (tptp.v1_gr_cy_1 B) (tptp.l1_group_1 B)) (=> (and (tptp.v6_group_1 B) (tptp.v6_group_1 A) (= (tptp.k9_group_1 B) (tptp.k9_group_1 A))) (tptp.r2_group_6 B A)))))) (forall ((A $$unsorted)) (=> (tptp.m2_subset_1 A tptp.k1_numbers tptp.k5_numbers) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v1_group_1 B) (tptp.v3_group_1 B) (tptp.v4_group_1 B) (tptp.l1_group_1 B)) (forall ((C $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.v1_group_1 C) (tptp.v3_group_1 C) (tptp.v4_group_1 C) (tptp.l1_group_1 C)) (=> (and (tptp.v6_group_1 B) (tptp.v6_group_1 C) (= (tptp.k9_group_1 B) A) (= (tptp.k9_group_1 C) A) (tptp.v1_int_2 A)) (tptp.r2_group_6 B C)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v1_group_1 A) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v1_group_1 B) (tptp.v3_group_1 B) (tptp.v4_group_1 B) (tptp.l1_group_1 B)) (=> (and (tptp.v6_group_1 A) (tptp.v6_group_1 B) (= (tptp.k9_group_1 A) tptp.np__2) (= (tptp.k9_group_1 B) tptp.np__2)) (tptp.r2_group_6 A B)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v1_group_1 A) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (=> (and (tptp.v6_group_1 A) (= (tptp.k9_group_1 A) tptp.np__2)) (forall ((B $$unsorted)) (=> (and (tptp.v1_group_1 B) (tptp.m1_group_2 B A)) (or (tptp.r1_group_2 A B (tptp.k5_group_2 A)) (= B A))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.l1_group_1 A))) (let ((_let_2 (tptp.v4_group_1 A))) (let ((_let_3 (tptp.v3_group_1 A))) (let ((_let_4 (not (tptp.v3_struct_0 A)))) (=> (and _let_4 (tptp.v1_group_1 A) _let_3 _let_2 _let_1) (=> (and (tptp.v6_group_1 A) (= (tptp.k9_group_1 A) tptp.np__2)) (and _let_4 _let_3 _let_2 (tptp.v1_gr_cy_1 A) _let_1)))))))) (forall ((A $$unsorted)) (=> (tptp.m2_subset_1 A tptp.k1_numbers tptp.k5_numbers) (forall ((B $$unsorted)) (let ((_let_1 (tptp.l1_group_1 B))) (let ((_let_2 (tptp.v4_group_1 B))) (let ((_let_3 (tptp.v3_group_1 B))) (let ((_let_4 (not (tptp.v3_struct_0 B)))) (=> (and _let_4 (tptp.v1_group_1 B) _let_3 _let_2 _let_1) (=> (and (tptp.v6_group_1 B) _let_4 _let_3 _let_2 (tptp.v1_gr_cy_1 B) _let_1 (= (tptp.k9_group_1 B) A)) (forall ((C $$unsorted)) (=> (tptp.m2_subset_1 C tptp.k1_numbers tptp.k5_numbers) (not (and (tptp.r1_nat_1 C A) (forall ((D $$unsorted)) (=> (and (tptp.v1_group_1 D) (tptp.m1_group_2 D B)) (not (and (= (tptp.k9_group_1 D) C) (forall ((E $$unsorted)) (=> (and (tptp.v1_group_1 E) (tptp.m1_group_2 E B)) (=> (= (tptp.k9_group_1 E) C) (tptp.r1_group_2 B E D))))))))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.v1_gr_cy_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (=> (= A (tptp.k5_group_4 A (tptp.k1_struct_0 A B))) (forall ((C $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.v3_group_1 C) (tptp.v4_group_1 C) (tptp.l1_group_1 C)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.u1_struct_0 C))) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D _let_2 _let_1) (tptp.v1_group_6 D C A) (tptp.m2_relset_1 D _let_2 _let_1)) (=> (tptp.r1_rlvect_1 (tptp.k13_group_6 C A D) B) (tptp.v3_group_6 D C A))))))))))))) (forall ((A $$unsorted)) (=> (tptp.m2_subset_1 A tptp.k1_numbers tptp.k5_numbers) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v1_group_1 B) (tptp.v3_group_1 B) (tptp.v4_group_1 B) (tptp.v1_gr_cy_1 B) (tptp.l1_group_1 B)) (not (and (tptp.v6_group_1 B) (= (tptp.k9_group_1 B) A) (exists ((C $$unsorted)) (and (tptp.m2_subset_1 C tptp.k1_numbers tptp.k5_numbers) (= A (tptp.k2_nat_1 tptp.np__2 C)))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 B)) (not (and (= (tptp.k7_group_1 B C) tptp.np__2) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 B)) (=> (= (tptp.k7_group_1 B D) tptp.np__2) (= C D)))))))))))))) (forall ((A $$unsorted)) (=> (tptp.m2_subset_1 A tptp.k1_numbers tptp.k5_numbers) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v1_group_1 B) (tptp.v3_group_1 B) (tptp.v4_group_1 B) (tptp.v1_gr_cy_1 B) (tptp.l1_group_1 B)) (not (and (tptp.v6_group_1 B) (= (tptp.k9_group_1 B) A) (exists ((C $$unsorted)) (and (tptp.m2_subset_1 C tptp.k1_numbers tptp.k5_numbers) (= A (tptp.k2_nat_1 tptp.np__2 C)))) (forall ((C $$unsorted)) (=> (tptp.m1_group_2 C B) (not (and (= (tptp.k9_group_1 C) tptp.np__2) (not (tptp.v3_struct_0 C)) (tptp.v3_group_1 C) (tptp.v4_group_1 C) (tptp.v1_gr_cy_1 C) (tptp.l1_group_1 C))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v1_group_1 B) (tptp.v3_group_1 B) (tptp.v4_group_1 B) (tptp.l1_group_1 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k13_group_6 B A C))) (let ((_let_2 (tptp.u1_struct_0 A))) (let ((_let_3 (tptp.u1_struct_0 B))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_3 _let_2) (tptp.v1_group_6 C B A) (tptp.m2_relset_1 C _let_3 _let_2)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_group_1 B) (tptp.v4_group_1 B) (tptp.v1_gr_cy_1 B) (tptp.l1_group_1 B)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v3_group_1 _let_1) (tptp.v4_group_1 _let_1) (tptp.v1_gr_cy_1 _let_1) (tptp.l1_group_1 _let_1)))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v1_group_1 A) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.l1_group_1 B))) (let ((_let_2 (tptp.v1_gr_cy_1 B))) (let ((_let_3 (tptp.v4_group_1 B))) (let ((_let_4 (tptp.v3_group_1 B))) (let ((_let_5 (not (tptp.v3_struct_0 B)))) (let ((_let_6 (tptp.l1_group_1 A))) (let ((_let_7 (tptp.v1_gr_cy_1 A))) (let ((_let_8 (tptp.v4_group_1 A))) (let ((_let_9 (tptp.v3_group_1 A))) (let ((_let_10 (not (tptp.v3_struct_0 A)))) (=> (and _let_5 (tptp.v1_group_1 B) _let_4 _let_3 _let_1) (=> (tptp.r2_group_6 A B) (or (and (not (and _let_10 _let_9 _let_8 _let_7 _let_6)) (not (and _let_5 _let_4 _let_3 _let_2 _let_1))) (and _let_10 _let_9 _let_8 _let_7 _let_6 _let_5 _let_4 _let_3 _let_2 _let_1))))))))))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.m1_subset_1 A tptp.k5_numbers) (tptp.m1_subset_1 B (tptp.u1_struct_0 (tptp.k5_gr_cy_1 A)))) (tptp.m2_subset_1 (tptp.k1_gr_cy_2 A B) tptp.k1_numbers tptp.k5_numbers))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v1_group_1 A) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (tptp.m1_fraenkel (tptp.k1_autgroup A) _let_1 _let_1)))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k1_autgroup A))) (let ((_let_2 (tptp.k2_zfmisc_1 _let_1 _let_1))) (let ((_let_3 (tptp.k2_autgroup A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v1_group_1 A) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (and (tptp.v1_funct_1 _let_3) (tptp.v1_funct_2 _let_3 _let_2 _let_1) (tptp.m2_relset_1 _let_3 _let_2 _let_1))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k3_autgroup A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v1_group_1 A) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v1_group_1 _let_1) (tptp.v3_group_1 _let_1) (tptp.v4_group_1 _let_1) (tptp.l1_group_1 _let_1))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v1_group_1 A) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (tptp.m1_fraenkel (tptp.k4_autgroup A) _let_1 _let_1)))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k3_autgroup A))) (let ((_let_2 (tptp.k5_autgroup A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v1_group_1 A) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (and (tptp.v1_group_1 _let_2) (tptp.v1_group_3 _let_2 _let_1) (tptp.m1_group_2 _let_2 _let_1)))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v1_group_1 A) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A) (tptp.m1_subset_1 B _let_1)) (tptp.m2_fraenkel (tptp.k6_autgroup A B) _let_1 _let_1 (tptp.k4_autgroup A))))) _let_3 _let_2 _let_1 true)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 87.52/87.76 )
% 87.52/87.76 % SZS output end Proof for GRP618+2
% 87.52/87.76 % cvc5---1.0.5 exiting
% 87.52/87.77 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------