TSTP Solution File: GRP653+2 by cvc5---1.0.5
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : GRP653+2 : TPTP v8.1.2. Released v3.4.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n032.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 00:26:57 EDT 2023
% Result : Theorem 91.60s 91.85s
% Output : Proof 91.60s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.41 % Problem : GRP653+2 : TPTP v8.1.2. Released v3.4.0.
% 0.09/0.41 % Command : do_cvc5 %s %d
% 0.41/0.61 % Computer : n032.cluster.edu
% 0.41/0.61 % Model : x86_64 x86_64
% 0.41/0.61 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.41/0.61 % Memory : 8042.1875MB
% 0.41/0.61 % OS : Linux 3.10.0-693.el7.x86_64
% 0.41/0.61 % CPULimit : 300
% 0.41/0.61 % WCLimit : 300
% 0.41/0.61 % DateTime : Mon Aug 28 23:09:32 EDT 2023
% 0.41/0.61 % CPUTime :
% 1.13/1.35 %----Proving TF0_NAR, FOF, or CNF
% 91.60/91.85 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.juIB6athhV/cvc5---1.0.5_27455.p...
% 91.60/91.85 ------- get file name : TPTP file name is GRP653+2
% 91.60/91.85 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_27455.smt2...
% 91.60/91.85 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 91.60/91.85 --- Run --no-e-matching --full-saturate-quant at 5...
% 91.60/91.85 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 5...
% 91.60/91.85 --- Run --finite-model-find --uf-ss=no-minimal at 5...
% 91.60/91.85 --- Run --multi-trigger-when-single --full-saturate-quant at 5...
% 91.60/91.85 --- Run --trigger-sel=max --full-saturate-quant at 5...
% 91.60/91.85 --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 5...
% 91.60/91.85 --- Run --multi-trigger-cache --full-saturate-quant at 5...
% 91.60/91.85 --- Run --prenex-quant=none --full-saturate-quant at 5...
% 91.60/91.85 --- Run --enum-inst-interleave --decision=internal --full-saturate-quant at 5...
% 91.60/91.85 --- Run --relevant-triggers --full-saturate-quant at 5...
% 91.60/91.85 --- Run --finite-model-find --e-matching --sort-inference --uf-ss-fair at 5...
% 91.60/91.85 --- Run --pre-skolem-quant=on --full-saturate-quant at 10...
% 91.60/91.85 --- Run --cbqi-vo-exp --full-saturate-quant at 10...
% 91.60/91.85 % SZS status Theorem for GRP653+2
% 91.60/91.85 % SZS output start Proof for GRP653+2
% 91.60/91.85 (
% 91.60/91.85 (let ((_let_1 (not (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_group_1 B) (tptp.v4_group_1 B) (tptp.l1_group_1 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.v1_group_6 C A B) (tptp.m2_relset_1 C _let_2 _let_1)) (=> (tptp.v2_funct_1 C) (tptp.m1_lattice4 (tptp.k3_latsubgr A B C) (tptp.k11_group_4 A) (tptp.k11_group_4 B)))))))))))))) (let ((_let_2 (forall ((A $$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 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.v1_group_6 C A B) (tptp.m2_relset_1 C _let_2 _let_1)) (tptp.m4_vectsp_8 (tptp.k3_latsubgr A B C) (tptp.k11_group_4 A) (tptp.k11_group_4 B)))))))))))) (let ((_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)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_group_1 B) (tptp.v4_group_1 B) (tptp.l1_group_1 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.v1_group_6 C A B) (tptp.m2_relset_1 C _let_2 _let_1)) (=> (tptp.v2_funct_1 C) (tptp.m3_vectsp_8 (tptp.k3_latsubgr A B C) (tptp.k11_group_4 A) (tptp.k11_group_4 B))))))))))))) (let ((_let_4 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 (tptp.k11_group_4 B)))) (let ((_let_2 (tptp.u1_struct_0 (tptp.k11_group_4 A)))) (let ((_let_3 (tptp.k3_latsubgr A B C))) (let ((_let_4 (tptp.u1_struct_0 B))) (let ((_let_5 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A) (not (tptp.v3_struct_0 B)) (tptp.v3_group_1 B) (tptp.v4_group_1 B) (tptp.l1_group_1 B) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_5 _let_4) (tptp.m1_relset_1 C _let_5 _let_4)) (and (tptp.v1_funct_1 _let_3) (tptp.v1_funct_2 _let_3 _let_2 _let_1) (tptp.m2_relset_1 _let_3 _let_2 _let_1))))))))))) (let ((_let_5 (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v10_lattices B) (tptp.l3_lattices B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.m2_relset_1 C _let_2 _let_1)) (= (tptp.m1_lattice4 C A B) (and (tptp.m4_vectsp_8 C A B) (tptp.m3_vectsp_8 C A B))))))))))))) (let ((_let_6 (forall ((A $$unsorted)) (let ((_let_1 (tptp.k11_group_4 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v3_lattices _let_1) (tptp.v10_lattices _let_1) (tptp.l3_lattices _let_1))))))) (let ((_let_7 (forall ((A $$unsorted)) (let ((_let_1 (tptp.k11_group_4 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v3_lattices _let_1) (tptp.v4_lattices _let_1) (tptp.v5_lattices _let_1) (tptp.v6_lattices _let_1) (tptp.v7_lattices _let_1) (tptp.v8_lattices _let_1) (tptp.v9_lattices _let_1) (tptp.v10_lattices _let_1) (tptp.v13_lattices _let_1) (tptp.v14_lattices _let_1) (tptp.v15_lattices _let_1))))))) (let ((_let_8 (tptp.v3_vectsp_1 tptp.k3_vectsp_1))) (let ((_let_9 (tptp.v1_rlvect_1 tptp.k1_vectsp_1))) (let ((_let_10 (tptp.k2_group_1 tptp.k3_vectsp_1))) (let ((_let_11 (tptp.v2_group_1 tptp.k3_vectsp_1))) (let ((_let_12 (not (tptp.v3_struct_0 tptp.k3_vectsp_1)))) (let ((_let_13 (not (tptp.v3_struct_0 tptp.k1_vectsp_1)))) (let ((_let_14 (tptp.g1_group_1 tptp.k1_numbers tptp.k33_binop_2))) (let ((_let_15 (tptp.v4_group_1 _let_14))) (let ((_let_16 (tptp.v3_group_1 _let_14))) (let ((_let_17 (tptp.v1_finseq_1 tptp.k1_xboole_0))) (let ((_let_18 (tptp.v1_funct_1 tptp.k1_xboole_0))) (let ((_let_19 (tptp.v1_relat_1 tptp.k1_xboole_0))) (let ((_let_20 (tptp.v2_funct_1 tptp.k1_xboole_0))) (let ((_let_21 (tptp.v3_relat_1 tptp.k1_xboole_0))) (let ((_let_22 (tptp.v1_xboole_0 tptp.k1_xboole_0))) (let ((_let_23 (tptp.k1_card_1 tptp.k5_ordinal2))) (let ((_let_24 (tptp.k3_card_1 tptp.np__0))) (let ((_let_25 (tptp.k1_tarski (tptp.k4_tarski tptp.np__0 tptp.np__0)))) (let ((_let_26 (tptp.k1_tarski tptp.np__0))) (let ((_let_27 (tptp.k1_tarski tptp.k1_xboole_0))) (let ((_let_28 (tptp.r2_hidden tptp.k1_xboole_0 tptp.f1_s4_ordinal2))) (let ((_let_29 (= (tptp.k2_relat_1 tptp.k1_xboole_0) tptp.k1_xboole_0))) (let ((_let_30 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.m2_relset_1 C A B) (tptp.m1_relset_1 C A B))))) (let ((_let_31 (tptp.v3_ordinal1 tptp.k1_xboole_0))) (let ((_let_32 (tptp.k11_group_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_124))) (let ((_let_33 (tptp.k11_group_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_122))) (let ((_let_34 (tptp.k3_latsubgr SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_122 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_124 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_123))) (let ((_let_35 (tptp.m1_lattice4 _let_34 _let_33 _let_32))) (let ((_let_36 (tptp.m3_vectsp_8 _let_34 _let_33 _let_32))) (let ((_let_37 (tptp.m4_vectsp_8 _let_34 _let_33 _let_32))) (let ((_let_38 (and _let_37 _let_36))) (let ((_let_39 (= _let_35 _let_38))) (let ((_let_40 (tptp.v2_funct_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_123))) (let ((_let_41 (not _let_40))) (let ((_let_42 (tptp.u1_struct_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_124))) (let ((_let_43 (tptp.u1_struct_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_122))) (let ((_let_44 (tptp.m2_relset_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_123 _let_43 _let_42))) (let ((_let_45 (not _let_44))) (let ((_let_46 (tptp.v1_group_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_123 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_122 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_124))) (let ((_let_47 (not _let_46))) (let ((_let_48 (tptp.v1_funct_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_123 _let_43 _let_42))) (let ((_let_49 (not _let_48))) (let ((_let_50 (tptp.v1_funct_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_123))) (let ((_let_51 (not _let_50))) (let ((_let_52 (tptp.l1_group_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_124))) (let ((_let_53 (not _let_52))) (let ((_let_54 (tptp.v4_group_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_124))) (let ((_let_55 (not _let_54))) (let ((_let_56 (tptp.v3_group_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_124))) (let ((_let_57 (not _let_56))) (let ((_let_58 (tptp.v3_struct_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_124))) (let ((_let_59 (tptp.l1_group_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_122))) (let ((_let_60 (not _let_59))) (let ((_let_61 (tptp.v4_group_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_122))) (let ((_let_62 (not _let_61))) (let ((_let_63 (tptp.v3_group_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_122))) (let ((_let_64 (not _let_63))) (let ((_let_65 (tptp.v3_struct_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_122))) (let ((_let_66 (or _let_65 _let_64 _let_62 _let_60 _let_58 _let_57 _let_55 _let_53 _let_51 _let_49 _let_47 _let_45 _let_41 _let_35))) (let ((_let_67 (forall ((A $$unsorted) (BOUND_VARIABLE_252296 $$unsorted) (BOUND_VARIABLE_252294 $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 BOUND_VARIABLE_252294))) (let ((_let_2 (tptp.u1_struct_0 A))) (or (tptp.v3_struct_0 A) (not (tptp.v3_group_1 A)) (not (tptp.v4_group_1 A)) (not (tptp.l1_group_1 A)) (tptp.v3_struct_0 BOUND_VARIABLE_252294) (not (tptp.v3_group_1 BOUND_VARIABLE_252294)) (not (tptp.v4_group_1 BOUND_VARIABLE_252294)) (not (tptp.l1_group_1 BOUND_VARIABLE_252294)) (not (tptp.v1_funct_1 BOUND_VARIABLE_252296)) (not (tptp.v1_funct_2 BOUND_VARIABLE_252296 _let_2 _let_1)) (not (tptp.v1_group_6 BOUND_VARIABLE_252296 A BOUND_VARIABLE_252294)) (not (tptp.m2_relset_1 BOUND_VARIABLE_252296 _let_2 _let_1)) (not (tptp.v2_funct_1 BOUND_VARIABLE_252296)) (tptp.m1_lattice4 (tptp.k3_latsubgr A BOUND_VARIABLE_252294 BOUND_VARIABLE_252296) (tptp.k11_group_4 A) (tptp.k11_group_4 BOUND_VARIABLE_252294)))))))) (let ((_let_68 (not _let_66))) (let ((_let_69 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_70 (or))) (let ((_let_71 (not _let_67))) (let ((_let_72 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_69) :args (_let_71))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_71) _let_67))) (REFL :args (_let_68)) :args _let_70)) _let_69 :args (_let_68 true _let_67)))) (let ((_let_73 (or _let_65 _let_64 _let_62 _let_60 _let_58 _let_57 _let_55 _let_53 _let_51 _let_49 _let_47 _let_45 _let_41 _let_36))) (let ((_let_74 (forall ((A $$unsorted) (BOUND_VARIABLE_252142 $$unsorted) (BOUND_VARIABLE_252140 $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 BOUND_VARIABLE_252140))) (let ((_let_2 (tptp.u1_struct_0 A))) (or (tptp.v3_struct_0 A) (not (tptp.v3_group_1 A)) (not (tptp.v4_group_1 A)) (not (tptp.l1_group_1 A)) (tptp.v3_struct_0 BOUND_VARIABLE_252140) (not (tptp.v3_group_1 BOUND_VARIABLE_252140)) (not (tptp.v4_group_1 BOUND_VARIABLE_252140)) (not (tptp.l1_group_1 BOUND_VARIABLE_252140)) (not (tptp.v1_funct_1 BOUND_VARIABLE_252142)) (not (tptp.v1_funct_2 BOUND_VARIABLE_252142 _let_2 _let_1)) (not (tptp.v1_group_6 BOUND_VARIABLE_252142 A BOUND_VARIABLE_252140)) (not (tptp.m2_relset_1 BOUND_VARIABLE_252142 _let_2 _let_1)) (not (tptp.v2_funct_1 BOUND_VARIABLE_252142)) (tptp.m3_vectsp_8 (tptp.k3_latsubgr A BOUND_VARIABLE_252140 BOUND_VARIABLE_252142) (tptp.k11_group_4 A) (tptp.k11_group_4 BOUND_VARIABLE_252140)))))))) (let ((_let_75 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_76 (REFL :args (_let_66)))) (let ((_let_77 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_66 11)) (CONG _let_76 (MACRO_SR_PRED_INTRO :args ((= (not _let_45) _let_44))) :args _let_70)) :args ((or _let_44 _let_66))) _let_72 :args (_let_44 true _let_66)))) (let ((_let_78 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_66 10)) (CONG _let_76 (MACRO_SR_PRED_INTRO :args ((= (not _let_47) _let_46))) :args _let_70)) :args ((or _let_46 _let_66))) _let_72 :args (_let_46 true _let_66)))) (let ((_let_79 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_66 9)) (CONG _let_76 (MACRO_SR_PRED_INTRO :args ((= (not _let_49) _let_48))) :args _let_70)) :args ((or _let_48 _let_66))) _let_72 :args (_let_48 true _let_66)))) (let ((_let_80 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_66 8)) (CONG _let_76 (MACRO_SR_PRED_INTRO :args ((= (not _let_51) _let_50))) :args _let_70)) :args ((or _let_50 _let_66))) _let_72 :args (_let_50 true _let_66)))) (let ((_let_81 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_66 7)) (CONG _let_76 (MACRO_SR_PRED_INTRO :args ((= (not _let_53) _let_52))) :args _let_70)) :args ((or _let_52 _let_66))) _let_72 :args (_let_52 true _let_66)))) (let ((_let_82 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_66 6)) (CONG _let_76 (MACRO_SR_PRED_INTRO :args ((= (not _let_55) _let_54))) :args _let_70)) :args ((or _let_54 _let_66))) _let_72 :args (_let_54 true _let_66)))) (let ((_let_83 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_66 5)) (CONG _let_76 (MACRO_SR_PRED_INTRO :args ((= (not _let_57) _let_56))) :args _let_70)) :args ((or _let_56 _let_66))) _let_72 :args (_let_56 true _let_66)))) (let ((_let_84 (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_66 4)) _let_72 :args ((not _let_58) true _let_66)))) (let ((_let_85 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_66 3)) (CONG _let_76 (MACRO_SR_PRED_INTRO :args ((= (not _let_60) _let_59))) :args _let_70)) :args ((or _let_59 _let_66))) _let_72 :args (_let_59 true _let_66)))) (let ((_let_86 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_66 2)) (CONG _let_76 (MACRO_SR_PRED_INTRO :args ((= (not _let_62) _let_61))) :args _let_70)) :args ((or _let_61 _let_66))) _let_72 :args (_let_61 true _let_66)))) (let ((_let_87 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_66 1)) (CONG _let_76 (MACRO_SR_PRED_INTRO :args ((= (not _let_64) _let_63))) :args _let_70)) :args ((or _let_63 _let_66))) _let_72 :args (_let_63 true _let_66)))) (let ((_let_88 (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_66 0)) _let_72 :args ((not _let_65) true _let_66)))) (let ((_let_89 (or _let_65 _let_64 _let_62 _let_60 _let_58 _let_57 _let_55 _let_53 _let_51 _let_49 _let_47 _let_45 _let_37))) (let ((_let_90 (forall ((A $$unsorted) (BOUND_VARIABLE_252218 $$unsorted) (BOUND_VARIABLE_252216 $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 BOUND_VARIABLE_252216))) (let ((_let_2 (tptp.u1_struct_0 A))) (or (tptp.v3_struct_0 A) (not (tptp.v3_group_1 A)) (not (tptp.v4_group_1 A)) (not (tptp.l1_group_1 A)) (tptp.v3_struct_0 BOUND_VARIABLE_252216) (not (tptp.v3_group_1 BOUND_VARIABLE_252216)) (not (tptp.v4_group_1 BOUND_VARIABLE_252216)) (not (tptp.l1_group_1 BOUND_VARIABLE_252216)) (not (tptp.v1_funct_1 BOUND_VARIABLE_252218)) (not (tptp.v1_funct_2 BOUND_VARIABLE_252218 _let_2 _let_1)) (not (tptp.v1_group_6 BOUND_VARIABLE_252218 A BOUND_VARIABLE_252216)) (not (tptp.m2_relset_1 BOUND_VARIABLE_252218 _let_2 _let_1)) (tptp.m4_vectsp_8 (tptp.k3_latsubgr A BOUND_VARIABLE_252216 BOUND_VARIABLE_252218) (tptp.k11_group_4 A) (tptp.k11_group_4 BOUND_VARIABLE_252216)))))))) (let ((_let_91 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_92 (tptp.u1_struct_0 _let_32))) (let ((_let_93 (tptp.u1_struct_0 _let_33))) (let ((_let_94 (tptp.m2_relset_1 _let_34 _let_93 _let_92))) (let ((_let_95 (not _let_94))) (let ((_let_96 (tptp.v1_funct_2 _let_34 _let_93 _let_92))) (let ((_let_97 (not _let_96))) (let ((_let_98 (tptp.v1_funct_1 _let_34))) (let ((_let_99 (not _let_98))) (let ((_let_100 (tptp.l3_lattices _let_32))) (let ((_let_101 (not _let_100))) (let ((_let_102 (tptp.v10_lattices _let_32))) (let ((_let_103 (not _let_102))) (let ((_let_104 (tptp.v3_struct_0 _let_32))) (let ((_let_105 (tptp.l3_lattices _let_33))) (let ((_let_106 (not _let_105))) (let ((_let_107 (tptp.v10_lattices _let_33))) (let ((_let_108 (not _let_107))) (let ((_let_109 (tptp.v3_struct_0 _let_33))) (let ((_let_110 (or _let_109 _let_108 _let_106 _let_104 _let_103 _let_101 _let_99 _let_97 _let_95 _let_39))) (let ((_let_111 (forall ((A $$unsorted) (BOUND_VARIABLE_248259 $$unsorted) (BOUND_VARIABLE_248257 $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 BOUND_VARIABLE_248257))) (let ((_let_2 (tptp.u1_struct_0 A))) (or (tptp.v3_struct_0 A) (not (tptp.v10_lattices A)) (not (tptp.l3_lattices A)) (tptp.v3_struct_0 BOUND_VARIABLE_248257) (not (tptp.v10_lattices BOUND_VARIABLE_248257)) (not (tptp.l3_lattices BOUND_VARIABLE_248257)) (not (tptp.v1_funct_1 BOUND_VARIABLE_248259)) (not (tptp.v1_funct_2 BOUND_VARIABLE_248259 _let_2 _let_1)) (not (tptp.m2_relset_1 BOUND_VARIABLE_248259 _let_2 _let_1)) (= (tptp.m1_lattice4 BOUND_VARIABLE_248259 A BOUND_VARIABLE_248257) (and (tptp.m4_vectsp_8 BOUND_VARIABLE_248259 A BOUND_VARIABLE_248257) (tptp.m3_vectsp_8 BOUND_VARIABLE_248259 A BOUND_VARIABLE_248257))))))))) (let ((_let_112 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_113 (and _let_98 _let_96 _let_94))) (let ((_let_114 (tptp.m1_relset_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_123 _let_43 _let_42))) (let ((_let_115 (not _let_114))) (let ((_let_116 (or _let_65 _let_64 _let_62 _let_60 _let_58 _let_57 _let_55 _let_53 _let_51 _let_49 _let_115 _let_113))) (let ((_let_117 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 (tptp.k11_group_4 B)))) (let ((_let_2 (tptp.u1_struct_0 (tptp.k11_group_4 A)))) (let ((_let_3 (tptp.k3_latsubgr A B C))) (let ((_let_4 (tptp.u1_struct_0 B))) (let ((_let_5 (tptp.u1_struct_0 A))) (or (tptp.v3_struct_0 A) (not (tptp.v3_group_1 A)) (not (tptp.v4_group_1 A)) (not (tptp.l1_group_1 A)) (tptp.v3_struct_0 B) (not (tptp.v3_group_1 B)) (not (tptp.v4_group_1 B)) (not (tptp.l1_group_1 B)) (not (tptp.v1_funct_1 C)) (not (tptp.v1_funct_2 C _let_5 _let_4)) (not (tptp.m1_relset_1 C _let_5 _let_4)) (and (tptp.v1_funct_1 _let_3) (tptp.v1_funct_2 _let_3 _let_2 _let_1) (tptp.m2_relset_1 _let_3 _let_2 _let_1))))))))))) (let ((_let_118 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_119 (= _let_44 _let_114))) (let ((_let_120 (_let_30))) (let ((_let_121 (ASSUME :args _let_120))) (let ((_let_122 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_116)) :args ((or _let_65 _let_64 _let_62 _let_60 _let_58 _let_57 _let_55 _let_53 _let_51 _let_49 _let_115 _let_113 (not _let_116)))) _let_88 _let_87 _let_86 _let_85 _let_84 _let_83 _let_82 _let_81 _let_80 _let_79 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_119)) :args ((or _let_45 _let_114 (not _let_119)))) _let_77 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_121 :args (_let_43 _let_42 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_123 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.m2_relset_1 C A B)))) :args _let_120)) _let_121 :args (_let_119 false _let_30)) :args (_let_114 false _let_44 false _let_119)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_118 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_122 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_124 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_123 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.k3_latsubgr A B C)))) :args (_let_117))) _let_118 :args (_let_116 false _let_117)) :args (_let_113 true _let_65 false _let_63 false _let_61 false _let_59 true _let_58 false _let_56 false _let_54 false _let_52 false _let_50 false _let_48 false _let_114 false _let_116)))) (let ((_let_123 (not _let_113))) (let ((_let_124 (tptp.v3_lattices _let_32))) (let ((_let_125 (not _let_104))) (let ((_let_126 (and _let_125 _let_124 _let_102 _let_100))) (let ((_let_127 (or _let_58 _let_57 _let_55 _let_53 _let_126))) (let ((_let_128 (forall ((A $$unsorted)) (let ((_let_1 (tptp.k11_group_4 A))) (or (tptp.v3_struct_0 A) (not (tptp.v3_group_1 A)) (not (tptp.v4_group_1 A)) (not (tptp.l1_group_1 A)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v3_lattices _let_1) (tptp.v10_lattices _let_1) (tptp.l3_lattices _let_1))))))) (let ((_let_129 (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_130 (_let_128))) (let ((_let_131 ((not (= (tptp.v3_group_1 A) false))))) (let ((_let_132 (and _let_125 _let_124 (tptp.v4_lattices _let_32) (tptp.v5_lattices _let_32) (tptp.v6_lattices _let_32) (tptp.v7_lattices _let_32) (tptp.v8_lattices _let_32) (tptp.v9_lattices _let_32) _let_102 (tptp.v13_lattices _let_32) (tptp.v14_lattices _let_32) (tptp.v15_lattices _let_32)))) (let ((_let_133 (or _let_58 _let_57 _let_55 _let_53 _let_132))) (let ((_let_134 (forall ((A $$unsorted)) (let ((_let_1 (tptp.k11_group_4 A))) (or (tptp.v3_struct_0 A) (not (tptp.v3_group_1 A)) (not (tptp.v4_group_1 A)) (not (tptp.l1_group_1 A)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v3_lattices _let_1) (tptp.v4_lattices _let_1) (tptp.v5_lattices _let_1) (tptp.v6_lattices _let_1) (tptp.v7_lattices _let_1) (tptp.v8_lattices _let_1) (tptp.v9_lattices _let_1) (tptp.v10_lattices _let_1) (tptp.v13_lattices _let_1) (tptp.v14_lattices _let_1) (tptp.v15_lattices _let_1))))))) (let ((_let_135 (EQ_RESOLVE (ASSUME :args (_let_7)) (MACRO_SR_EQ_INTRO :args (_let_7 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_136 (_let_134))) (let ((_let_137 ((not (= (tptp.v3_group_1 A) false))))) (let ((_let_138 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_133)) :args ((or _let_58 _let_57 _let_55 _let_53 _let_132 (not _let_133)))) _let_84 _let_83 _let_82 _let_81 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_135 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_124 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_137)) :args _let_136)) _let_135 :args (_let_133 false _let_134)) :args (_let_132 true _let_58 false _let_56 false _let_54 false _let_52 false _let_133)))) (let ((_let_139 (not _let_132))) (let ((_let_140 (tptp.v3_lattices _let_33))) (let ((_let_141 (not _let_109))) (let ((_let_142 (and _let_141 _let_140 _let_107 _let_105))) (let ((_let_143 (or _let_65 _let_64 _let_62 _let_60 _let_142))) (let ((_let_144 (and _let_141 _let_140 (tptp.v4_lattices _let_33) (tptp.v5_lattices _let_33) (tptp.v6_lattices _let_33) (tptp.v7_lattices _let_33) (tptp.v8_lattices _let_33) (tptp.v9_lattices _let_33) _let_107 (tptp.v13_lattices _let_33) (tptp.v14_lattices _let_33) (tptp.v15_lattices _let_33)))) (let ((_let_145 (or _let_65 _let_64 _let_62 _let_60 _let_144))) (let ((_let_146 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_145)) :args ((or _let_65 _let_64 _let_62 _let_60 _let_144 (not _let_145)))) _let_88 _let_87 _let_86 _let_85 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_135 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_122 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_137)) :args _let_136)) _let_135 :args (_let_145 false _let_134)) :args (_let_144 true _let_65 false _let_63 false _let_61 false _let_59 false _let_145)))) (let ((_let_147 (not _let_144))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_39)) :args ((or _let_35 (not _let_38) (not _let_39)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_110)) :args ((or _let_109 _let_104 _let_108 _let_106 _let_103 _let_101 _let_99 _let_97 _let_95 _let_39 (not _let_110)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_144 0)) :args ((or _let_141 _let_147))) _let_146 :args (_let_141 false _let_144)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_132 0)) :args ((or _let_125 _let_139))) _let_138 :args (_let_125 false _let_132)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_144 8)) :args ((or _let_107 _let_147))) _let_146 :args (_let_107 false _let_144)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_142 3)) :args ((or _let_105 (not _let_142)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_143)) :args ((or _let_65 _let_64 _let_62 _let_60 _let_142 (not _let_143)))) _let_88 _let_87 _let_86 _let_85 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_129 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_122 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_131)) :args _let_130)) _let_129 :args (_let_143 false _let_128)) :args (_let_142 true _let_65 false _let_63 false _let_61 false _let_59 false _let_143)) :args (_let_105 false _let_142)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_132 8)) :args ((or _let_102 _let_139))) _let_138 :args (_let_102 false _let_132)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_126 3)) :args ((or _let_100 (not _let_126)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_127)) :args ((or _let_58 _let_57 _let_55 _let_53 _let_126 (not _let_127)))) _let_84 _let_83 _let_82 _let_81 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_129 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_124 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_131)) :args _let_130)) _let_129 :args (_let_127 false _let_128)) :args (_let_126 true _let_58 false _let_56 false _let_54 false _let_52 false _let_127)) :args (_let_100 false _let_126)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_113 0)) :args ((or _let_98 _let_123))) _let_122 :args (_let_98 false _let_113)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_113 1)) :args ((or _let_96 _let_123))) _let_122 :args (_let_96 false _let_113)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_113 2)) :args ((or _let_94 _let_123))) _let_122 :args (_let_94 false _let_113)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_112 :args (_let_33 _let_34 _let_32 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.m1_lattice4 BOUND_VARIABLE_248259 A BOUND_VARIABLE_248257)))) :args (_let_111))) _let_112 :args (_let_110 false _let_111)) :args (_let_39 true _let_109 true _let_104 false _let_107 false _let_105 false _let_102 false _let_100 false _let_98 false _let_96 false _let_94 false _let_110)) (MACRO_RESOLUTION_TRUST (CNF_AND_NEG :args (_let_38)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_89)) :args ((or _let_65 _let_64 _let_62 _let_60 _let_58 _let_57 _let_55 _let_53 _let_51 _let_49 _let_47 _let_45 _let_37 (not _let_89)))) _let_88 _let_87 _let_86 _let_85 _let_84 _let_83 _let_82 _let_81 _let_80 _let_79 _let_78 _let_77 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_91 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_122 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_123 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_124 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.v1_funct_2 BOUND_VARIABLE_252218 (tptp.u1_struct_0 A) (tptp.u1_struct_0 BOUND_VARIABLE_252216)) false))))) :args (_let_90))) _let_91 :args (_let_89 false _let_90)) :args (_let_37 true _let_65 false _let_63 false _let_61 false _let_59 true _let_58 false _let_56 false _let_54 false _let_52 false _let_50 false _let_48 false _let_46 false _let_44 false _let_89)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_73)) :args ((or _let_65 _let_64 _let_62 _let_60 _let_58 _let_57 _let_55 _let_53 _let_51 _let_49 _let_47 _let_45 _let_41 _let_36 (not _let_73)))) _let_88 _let_87 _let_86 _let_85 _let_84 _let_83 _let_82 _let_81 _let_80 _let_79 _let_78 _let_77 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_66 12)) (CONG _let_76 (MACRO_SR_PRED_INTRO :args ((= (not _let_41) _let_40))) :args _let_70)) :args ((or _let_40 _let_66))) _let_72 :args (_let_40 true _let_66)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_75 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_122 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_123 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_124 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.v1_funct_2 BOUND_VARIABLE_252142 (tptp.u1_struct_0 A) (tptp.u1_struct_0 BOUND_VARIABLE_252140)) false))))) :args (_let_74))) _let_75 :args (_let_73 false _let_74)) :args (_let_36 true _let_65 false _let_63 false _let_61 false _let_59 true _let_58 false _let_56 false _let_54 false _let_52 false _let_50 false _let_48 false _let_46 false _let_44 false _let_40 false _let_73)) :args (_let_38 false _let_37 false _let_36)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_66 13)) _let_72 :args ((not _let_35) true _let_66)) :args (false false _let_39 false _let_38 true _let_35)) :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 $$unsorted)) (= (tptp.k2_tarski A B) (tptp.k2_tarski B A))) true true _let_22 (exists ((A $$unsorted)) (tptp.v1_xboole_0 A)) (exists ((A $$unsorted)) (not (tptp.v1_xboole_0 A))) (forall ((A $$unsorted) (B $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (not (tptp.v1_xboole_0 (tptp.k2_xboole_0 A B))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (not (tptp.v1_xboole_0 (tptp.k2_xboole_0 B A))))) (forall ((A $$unsorted)) (= (= A tptp.k1_xboole_0) (forall ((B $$unsorted)) (not (tptp.r2_hidden B A))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (= C (tptp.k2_xboole_0 A B)) (forall ((D $$unsorted)) (= (tptp.r2_hidden D C) (or (tptp.r2_hidden D A) (tptp.r2_hidden D B)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (= C (tptp.k3_xboole_0 A B)) (forall ((D $$unsorted)) (= (tptp.r2_hidden D C) (and (tptp.r2_hidden D A) (tptp.r2_hidden D B)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (= C (tptp.k4_xboole_0 A B)) (forall ((D $$unsorted)) (= (tptp.r2_hidden D C) (and (tptp.r2_hidden D A) (not (tptp.r2_hidden D B))))))) (forall ((A $$unsorted)) (= (tptp.v1_xboole_0 A) (= A tptp.k1_xboole_0))) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.k5_xboole_0 A B) (tptp.k2_xboole_0 (tptp.k4_xboole_0 A B) (tptp.k4_xboole_0 B A)))) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.r1_xboole_0 A B) (= (tptp.k3_xboole_0 A B) tptp.k1_xboole_0))) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.r2_xboole_0 A B) (and (tptp.r1_tarski A B) (not (= A B))))) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.r3_xboole_0 A B) (or (tptp.r1_tarski A B) (tptp.r1_tarski B A)))) (forall ((A $$unsorted) (B $$unsorted)) (= (= A B) (and (tptp.r1_tarski A B) (tptp.r1_tarski B A)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.r2_hidden A (tptp.k5_xboole_0 B C)) (not (= (tptp.r2_hidden A B) (tptp.r2_hidden A C))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (forall ((D $$unsorted)) (= (not (tptp.r2_hidden D A)) (= (tptp.r2_hidden D B) (tptp.r2_hidden D C)))) (= A (tptp.k5_xboole_0 B C)))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.r1_xboole_0 A B))) (and (not (and (not _let_1) (forall ((C $$unsorted)) (not (and (tptp.r2_hidden C A) (tptp.r2_hidden C B)))))) (not (and (exists ((C $$unsorted)) (and (tptp.r2_hidden C A) (tptp.r2_hidden C B))) _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.r1_xboole_0 A B))) (and (not (and (not _let_1) (forall ((C $$unsorted)) (not (tptp.r2_hidden C (tptp.k3_xboole_0 A B)))))) (not (and (exists ((C $$unsorted)) (tptp.r2_hidden C (tptp.k3_xboole_0 A B))) _let_1))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.r2_hidden C A))) (let ((_let_2 (tptp.r2_hidden C B))) (not (and (tptp.r1_xboole_0 A B) (tptp.r2_hidden C (tptp.k2_xboole_0 A B)) (not (and _let_1 (not _let_2))) (not (and _let_2 (not _let_1)))))))) (exists ((A $$unsorted)) (forall ((B $$unsorted)) (= (tptp.r2_hidden B A) (and (tptp.r2_hidden B tptp.f1_s1_xboole_0) (tptp.p1_s1_xboole_0 B))))) (=> (and (forall ((A $$unsorted)) (= (tptp.r2_hidden A tptp.f1_s2_xboole_0) (tptp.p1_s2_xboole_0 A))) (forall ((A $$unsorted)) (= (tptp.r2_hidden A tptp.f2_s2_xboole_0) (tptp.p1_s2_xboole_0 A)))) (= tptp.f1_s2_xboole_0 tptp.f2_s2_xboole_0)) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (forall ((C $$unsorted)) (= (tptp.r2_hidden C A) (tptp.p1_s3_xboole_0 C))) (forall ((C $$unsorted)) (= (tptp.r2_hidden C B) (tptp.p1_s3_xboole_0 C)))) (= A B))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.r1_xboole_0 A B) (tptp.r1_xboole_0 B A))) (forall ((A $$unsorted) (B $$unsorted)) (not (tptp.r2_xboole_0 A A))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.r2_xboole_0 A B) (not (tptp.r2_xboole_0 B A)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.r3_xboole_0 A B) (tptp.r3_xboole_0 B A))) (forall ((A $$unsorted) (B $$unsorted)) (tptp.r3_xboole_0 A A)) true true (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.k2_xboole_0 A B) (tptp.k2_xboole_0 B A))) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.k2_xboole_0 A A) A)) true (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.k3_xboole_0 A B) (tptp.k3_xboole_0 B A))) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.k3_xboole_0 A A) A)) true true (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.k5_xboole_0 A B) (tptp.k5_xboole_0 B A))) (forall ((A $$unsorted)) (= (tptp.k2_xboole_0 A tptp.k1_xboole_0) A)) (forall ((A $$unsorted)) (= (tptp.k3_xboole_0 A tptp.k1_xboole_0) tptp.k1_xboole_0)) (forall ((A $$unsorted)) (= (tptp.k4_xboole_0 A tptp.k1_xboole_0) A)) (forall ((A $$unsorted)) (= (tptp.k4_xboole_0 tptp.k1_xboole_0 A) tptp.k1_xboole_0)) (forall ((A $$unsorted)) (= (tptp.k5_xboole_0 A tptp.k1_xboole_0) A)) (forall ((A $$unsorted)) (=> (tptp.v1_xboole_0 A) (= A tptp.k1_xboole_0))) (forall ((A $$unsorted) (B $$unsorted)) (not (and (tptp.r2_hidden A B) (tptp.v1_xboole_0 B)))) (forall ((A $$unsorted) (B $$unsorted)) (not (and (tptp.v1_xboole_0 A) (not (= A B)) (tptp.v1_xboole_0 B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.r1_tarski A B) (tptp.r1_tarski B C)) (tptp.r1_tarski A C))) (forall ((A $$unsorted)) (tptp.r1_tarski tptp.k1_xboole_0 A)) (forall ((A $$unsorted)) (=> (tptp.r1_tarski A tptp.k1_xboole_0) (= A tptp.k1_xboole_0))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.k2_xboole_0 (tptp.k2_xboole_0 A B) C) (tptp.k2_xboole_0 A (tptp.k2_xboole_0 B C)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.k2_xboole_0 (tptp.k2_xboole_0 A B) C) (tptp.k2_xboole_0 (tptp.k2_xboole_0 A C) (tptp.k2_xboole_0 B C)))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k2_xboole_0 A B))) (= (tptp.k2_xboole_0 A _let_1) _let_1))) (forall ((A $$unsorted) (B $$unsorted)) (tptp.r1_tarski A (tptp.k2_xboole_0 A B))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.r1_tarski A B) (tptp.r1_tarski C B)) (tptp.r1_tarski (tptp.k2_xboole_0 A C) B))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.r1_tarski A B) (tptp.r1_tarski (tptp.k2_xboole_0 A C) (tptp.k2_xboole_0 B C)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.r1_tarski A B) (tptp.r1_tarski A (tptp.k2_xboole_0 C B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.r1_tarski (tptp.k2_xboole_0 A B) C) (tptp.r1_tarski A C))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.r1_tarski A B) (= (tptp.k2_xboole_0 A B) B))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.r1_tarski A B) (tptp.r1_tarski C D)) (tptp.r1_tarski (tptp.k2_xboole_0 A C) (tptp.k2_xboole_0 B D)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.r1_tarski A B) (tptp.r1_tarski C B) (forall ((D $$unsorted)) (=> (and (tptp.r1_tarski A D) (tptp.r1_tarski C D)) (tptp.r1_tarski B D)))) (= B (tptp.k2_xboole_0 A C)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (= (tptp.k2_xboole_0 A B) tptp.k1_xboole_0) (= A tptp.k1_xboole_0))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.k3_xboole_0 (tptp.k3_xboole_0 A B) C) (tptp.k3_xboole_0 A (tptp.k3_xboole_0 B C)))) (forall ((A $$unsorted) (B $$unsorted)) (tptp.r1_tarski (tptp.k3_xboole_0 A B) A)) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.r1_tarski A (tptp.k3_xboole_0 B C)) (tptp.r1_tarski A B))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.r1_tarski A B) (tptp.r1_tarski A C)) (tptp.r1_tarski A (tptp.k3_xboole_0 B C)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.r1_tarski A B) (tptp.r1_tarski A C) (forall ((D $$unsorted)) (=> (and (tptp.r1_tarski D B) (tptp.r1_tarski D C)) (tptp.r1_tarski D A)))) (= A (tptp.k3_xboole_0 B C)))) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.k3_xboole_0 A (tptp.k2_xboole_0 A B)) A)) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.k2_xboole_0 A (tptp.k3_xboole_0 A B)) A)) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.k3_xboole_0 A (tptp.k2_xboole_0 B C)) (tptp.k2_xboole_0 (tptp.k3_xboole_0 A B) (tptp.k3_xboole_0 A C)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.k2_xboole_0 A (tptp.k3_xboole_0 B C)) (tptp.k3_xboole_0 (tptp.k2_xboole_0 A B) (tptp.k2_xboole_0 A C)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.k2_xboole_0 (tptp.k2_xboole_0 (tptp.k3_xboole_0 A B) (tptp.k3_xboole_0 B C)) (tptp.k3_xboole_0 C A)) (tptp.k3_xboole_0 (tptp.k3_xboole_0 (tptp.k2_xboole_0 A B) (tptp.k2_xboole_0 B C)) (tptp.k2_xboole_0 C A)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.r1_tarski A B) (tptp.r1_tarski (tptp.k3_xboole_0 A C) (tptp.k3_xboole_0 B C)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.r1_tarski A B) (tptp.r1_tarski C D)) (tptp.r1_tarski (tptp.k3_xboole_0 A C) (tptp.k3_xboole_0 B D)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.r1_tarski A B) (= (tptp.k3_xboole_0 A B) A))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (tptp.r1_tarski (tptp.k3_xboole_0 A B) (tptp.k2_xboole_0 A C))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.r1_tarski A B) (= (tptp.k2_xboole_0 A (tptp.k3_xboole_0 C B)) (tptp.k3_xboole_0 (tptp.k2_xboole_0 A C) B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (tptp.r1_tarski (tptp.k2_xboole_0 (tptp.k3_xboole_0 A B) (tptp.k3_xboole_0 A C)) (tptp.k2_xboole_0 B C))) (forall ((A $$unsorted) (B $$unsorted)) (=> (= (tptp.k4_xboole_0 A B) (tptp.k4_xboole_0 B A)) (= A B))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.r1_tarski A B) (tptp.r1_tarski (tptp.k4_xboole_0 A C) (tptp.k4_xboole_0 B C)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.r1_tarski A B) (tptp.r1_tarski (tptp.k4_xboole_0 C B) (tptp.k4_xboole_0 C A)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.r1_tarski A B) (tptp.r1_tarski C D)) (tptp.r1_tarski (tptp.k4_xboole_0 A D) (tptp.k4_xboole_0 B C)))) (forall ((A $$unsorted) (B $$unsorted)) (tptp.r1_tarski (tptp.k4_xboole_0 A B) A)) (forall ((A $$unsorted) (B $$unsorted)) (= (= (tptp.k4_xboole_0 A B) tptp.k1_xboole_0) (tptp.r1_tarski A B))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.r1_tarski A (tptp.k4_xboole_0 B A)) (= A tptp.k1_xboole_0))) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.k2_xboole_0 A (tptp.k4_xboole_0 B A)) (tptp.k2_xboole_0 A B))) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.k4_xboole_0 (tptp.k2_xboole_0 A B) B) (tptp.k4_xboole_0 A B))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.k4_xboole_0 (tptp.k4_xboole_0 A B) C) (tptp.k4_xboole_0 A (tptp.k2_xboole_0 B C)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.k4_xboole_0 (tptp.k2_xboole_0 A B) C) (tptp.k2_xboole_0 (tptp.k4_xboole_0 A C) (tptp.k4_xboole_0 B C)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.r1_tarski A (tptp.k2_xboole_0 B C)) (tptp.r1_tarski (tptp.k4_xboole_0 A B) C))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.r1_tarski (tptp.k4_xboole_0 A B) C) (tptp.r1_tarski A (tptp.k2_xboole_0 B C)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.r1_tarski A B) (= B (tptp.k2_xboole_0 A (tptp.k4_xboole_0 B A))))) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.k4_xboole_0 A (tptp.k2_xboole_0 A B)) tptp.k1_xboole_0)) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.k4_xboole_0 A (tptp.k3_xboole_0 A B)) (tptp.k4_xboole_0 A B))) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.k4_xboole_0 A (tptp.k4_xboole_0 A B)) (tptp.k3_xboole_0 A B))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.k3_xboole_0 A (tptp.k4_xboole_0 B C)) (tptp.k4_xboole_0 (tptp.k3_xboole_0 A B) C))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.k3_xboole_0 A (tptp.k4_xboole_0 B C)) (tptp.k4_xboole_0 (tptp.k3_xboole_0 A B) (tptp.k3_xboole_0 A C)))) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.k2_xboole_0 (tptp.k3_xboole_0 A B) (tptp.k4_xboole_0 A B)) A)) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.k4_xboole_0 A (tptp.k4_xboole_0 B C)) (tptp.k2_xboole_0 (tptp.k4_xboole_0 A B) (tptp.k3_xboole_0 A C)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.k4_xboole_0 A (tptp.k2_xboole_0 B C)) (tptp.k3_xboole_0 (tptp.k4_xboole_0 A B) (tptp.k4_xboole_0 A C)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.k4_xboole_0 A (tptp.k3_xboole_0 B C)) (tptp.k2_xboole_0 (tptp.k4_xboole_0 A B) (tptp.k4_xboole_0 A C)))) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.k4_xboole_0 (tptp.k2_xboole_0 A B) (tptp.k3_xboole_0 A B)) (tptp.k2_xboole_0 (tptp.k4_xboole_0 A B) (tptp.k4_xboole_0 B A)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.r2_xboole_0 A B) (tptp.r2_xboole_0 B C)) (tptp.r2_xboole_0 A C))) (forall ((A $$unsorted) (B $$unsorted)) (not (and (tptp.r2_xboole_0 A B) (tptp.r2_xboole_0 B A)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.r2_xboole_0 A B) (tptp.r1_tarski B C)) (tptp.r2_xboole_0 A C))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.r1_tarski A B) (tptp.r2_xboole_0 B C)) (tptp.r2_xboole_0 A C))) (forall ((A $$unsorted) (B $$unsorted)) (not (and (tptp.r1_tarski A B) (tptp.r2_xboole_0 B A)))) (forall ((A $$unsorted)) (=> (not (= A tptp.k1_xboole_0)) (tptp.r2_xboole_0 tptp.k1_xboole_0 A))) (forall ((A $$unsorted)) (not (tptp.r2_xboole_0 A tptp.k1_xboole_0))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.r1_tarski A B) (tptp.r1_xboole_0 B C)) (tptp.r1_xboole_0 A C))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.r1_tarski A B) (tptp.r1_tarski C D) (tptp.r1_xboole_0 B D)) (tptp.r1_xboole_0 A C))) (forall ((A $$unsorted)) (tptp.r1_xboole_0 A tptp.k1_xboole_0)) (forall ((A $$unsorted)) (let ((_let_1 (tptp.r1_xboole_0 A A))) (let ((_let_2 (= A tptp.k1_xboole_0))) (and (not (and (not _let_1) _let_2)) (not (and (not _let_2) _let_1)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.r1_tarski A B) (tptp.r1_tarski A C) (tptp.r1_xboole_0 B C)) (= A tptp.k1_xboole_0))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (not (tptp.v1_xboole_0 C)) (not (and (tptp.r1_tarski C A) (tptp.r1_tarski C B) (tptp.r1_xboole_0 A B))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (not (and (tptp.r1_tarski B A) (tptp.r1_xboole_0 B A))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.r1_xboole_0 A (tptp.k2_xboole_0 B C)))) (let ((_let_2 (tptp.r1_xboole_0 A C))) (let ((_let_3 (tptp.r1_xboole_0 A B))) (and (not (and (not _let_1) _let_3 _let_2)) (not (and (not (and _let_3 _let_2)) _let_1))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (= (tptp.k2_xboole_0 A B) (tptp.k2_xboole_0 C B)) (tptp.r1_xboole_0 A B) (tptp.r1_xboole_0 C B)) (= A C))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (= (tptp.k2_xboole_0 A B) (tptp.k2_xboole_0 C D)) (tptp.r1_xboole_0 C A) (tptp.r1_xboole_0 D B)) (= C B))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.r1_tarski A (tptp.k2_xboole_0 B C)) (tptp.r1_xboole_0 A C)) (tptp.r1_tarski A B))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (not (and (not (tptp.r1_xboole_0 A (tptp.k3_xboole_0 B C))) (tptp.r1_xboole_0 A B)))) (forall ((A $$unsorted) (B $$unsorted)) (not (and (not (tptp.r1_xboole_0 A B)) (tptp.r1_xboole_0 (tptp.k3_xboole_0 A B) B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.r1_xboole_0 A B) (tptp.r1_xboole_0 (tptp.k3_xboole_0 C A) (tptp.k3_xboole_0 C B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (not (and (not (tptp.r1_xboole_0 A B)) (tptp.r1_tarski A C) (tptp.r1_xboole_0 A (tptp.k3_xboole_0 B C))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.r1_xboole_0 A B) (= (tptp.k3_xboole_0 A (tptp.k2_xboole_0 B C)) (tptp.k3_xboole_0 A C)))) (forall ((A $$unsorted) (B $$unsorted)) (tptp.r1_xboole_0 (tptp.k4_xboole_0 A B) B)) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.r1_xboole_0 A B) (tptp.r1_xboole_0 A (tptp.k4_xboole_0 B C)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.r1_xboole_0 A (tptp.k4_xboole_0 B C)) (tptp.r1_xboole_0 B (tptp.k4_xboole_0 A C)))) (forall ((A $$unsorted) (B $$unsorted)) (tptp.r1_xboole_0 (tptp.k4_xboole_0 A B) (tptp.k4_xboole_0 B A))) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.r1_xboole_0 A B) (= (tptp.k4_xboole_0 A B) A))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (not (and (not (tptp.r1_xboole_0 A B)) (tptp.r1_xboole_0 A C) (tptp.r1_xboole_0 A (tptp.k4_xboole_0 B C))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.r1_tarski A B) (tptp.r1_xboole_0 A (tptp.k4_xboole_0 C B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.r1_tarski A B) (tptp.r1_xboole_0 A C)) (tptp.r1_tarski A (tptp.k4_xboole_0 B C)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.r1_xboole_0 A B) (= (tptp.k2_xboole_0 (tptp.k4_xboole_0 C A) B) (tptp.k4_xboole_0 (tptp.k2_xboole_0 C B) A)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.r1_xboole_0 A B) (= (tptp.k4_xboole_0 (tptp.k2_xboole_0 A B) B) A))) (forall ((A $$unsorted) (B $$unsorted)) (tptp.r1_xboole_0 (tptp.k3_xboole_0 A B) (tptp.k4_xboole_0 A B))) (forall ((A $$unsorted) (B $$unsorted)) (tptp.r1_xboole_0 (tptp.k4_xboole_0 A (tptp.k3_xboole_0 A B)) B)) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.k5_xboole_0 (tptp.k5_xboole_0 A B) C) (tptp.k5_xboole_0 A (tptp.k5_xboole_0 B C)))) (forall ((A $$unsorted)) (= (tptp.k5_xboole_0 A A) tptp.k1_xboole_0)) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.k2_xboole_0 A B) (tptp.k2_xboole_0 (tptp.k5_xboole_0 A B) (tptp.k3_xboole_0 A B)))) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.k2_xboole_0 A B) (tptp.k5_xboole_0 (tptp.k5_xboole_0 A B) (tptp.k3_xboole_0 A B)))) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.k3_xboole_0 A B) (tptp.k5_xboole_0 (tptp.k5_xboole_0 A B) (tptp.k2_xboole_0 A B)))) (forall ((A $$unsorted) (B $$unsorted)) (tptp.r1_tarski (tptp.k4_xboole_0 A B) (tptp.k5_xboole_0 A B))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.r1_tarski (tptp.k4_xboole_0 A B) C) (tptp.r1_tarski (tptp.k4_xboole_0 B A) C)) (tptp.r1_tarski (tptp.k5_xboole_0 A B) C))) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.k2_xboole_0 A B) (tptp.k5_xboole_0 A (tptp.k4_xboole_0 B A)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.k4_xboole_0 (tptp.k5_xboole_0 A B) C) (tptp.k2_xboole_0 (tptp.k4_xboole_0 A (tptp.k2_xboole_0 B C)) (tptp.k4_xboole_0 B (tptp.k2_xboole_0 A C))))) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.k4_xboole_0 A B) (tptp.k5_xboole_0 A (tptp.k3_xboole_0 A B)))) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.k5_xboole_0 A B) (tptp.k4_xboole_0 (tptp.k2_xboole_0 A B) (tptp.k3_xboole_0 A B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.k4_xboole_0 A (tptp.k5_xboole_0 B C)) (tptp.k2_xboole_0 (tptp.k4_xboole_0 A (tptp.k2_xboole_0 B C)) (tptp.k3_xboole_0 (tptp.k3_xboole_0 A B) C)))) (forall ((A $$unsorted) (B $$unsorted)) (tptp.r1_xboole_0 (tptp.k3_xboole_0 A B) (tptp.k5_xboole_0 A B))) (forall ((A $$unsorted) (B $$unsorted)) (= (not (and (not (tptp.r2_xboole_0 A B)) (not (= A B)) (not (tptp.r2_xboole_0 B A)))) (tptp.r3_xboole_0 A B))) (forall ((A $$unsorted) (B $$unsorted)) (not (and (tptp.r2_xboole_0 A B) (= (tptp.k4_xboole_0 B A) tptp.k1_xboole_0)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.r1_tarski A (tptp.k4_xboole_0 B C)) (and (tptp.r1_tarski A B) (tptp.r1_xboole_0 A C)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.r1_tarski A (tptp.k5_xboole_0 B C)) (and (tptp.r1_tarski A (tptp.k2_xboole_0 B C)) (tptp.r1_xboole_0 A (tptp.k3_xboole_0 B C))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.r1_tarski A B) (tptp.r1_tarski (tptp.k3_xboole_0 A C) B))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.r1_tarski A B) (tptp.r1_tarski (tptp.k4_xboole_0 A C) B))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.r1_tarski A B) (tptp.r1_tarski C B)) (tptp.r1_tarski (tptp.k5_xboole_0 A C) B))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.k4_xboole_0 (tptp.k3_xboole_0 A B) (tptp.k3_xboole_0 C B)) (tptp.k3_xboole_0 (tptp.k4_xboole_0 A C) B))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.k5_xboole_0 (tptp.k3_xboole_0 A B) (tptp.k3_xboole_0 C B)) (tptp.k3_xboole_0 (tptp.k5_xboole_0 A C) B))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (= (tptp.k2_xboole_0 (tptp.k2_xboole_0 (tptp.k2_xboole_0 A B) C) D) (tptp.k2_xboole_0 A (tptp.k2_xboole_0 (tptp.k2_xboole_0 B C) D)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.r1_xboole_0 A D) (tptp.r1_xboole_0 B D) (tptp.r1_xboole_0 C D)) (tptp.r1_xboole_0 (tptp.k2_xboole_0 (tptp.k2_xboole_0 A B) C) D))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (= (= D (tptp.k1_enumset1 A B C)) (forall ((E $$unsorted)) (= (tptp.r2_hidden E D) (not (and (not (= E A)) (not (= E B)) (not (= E C)))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (= (= E (tptp.k2_enumset1 A B C D)) (forall ((F $$unsorted)) (= (tptp.r2_hidden F E) (not (and (not (= F A)) (not (= F B)) (not (= F C)) (not (= F D)))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted)) (= (= F (tptp.k3_enumset1 A B C D E)) (forall ((G $$unsorted)) (= (tptp.r2_hidden G F) (not (and (not (= G A)) (not (= G B)) (not (= G C)) (not (= G D)) (not (= G E)))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted) (G $$unsorted)) (= (= G (tptp.k4_enumset1 A B C D E F)) (forall ((H $$unsorted)) (= (tptp.r2_hidden H G) (not (and (not (= H A)) (not (= H B)) (not (= H C)) (not (= H D)) (not (= H E)) (not (= H F)))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted) (G $$unsorted) (H $$unsorted)) (= (= H (tptp.k5_enumset1 A B C D E F G)) (forall ((I $$unsorted)) (= (tptp.r2_hidden I H) (not (and (not (= I A)) (not (= I B)) (not (= I C)) (not (= I D)) (not (= I E)) (not (= I F)) (not (= I G)))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted) (G $$unsorted) (H $$unsorted) (I $$unsorted)) (= (= I (tptp.k6_enumset1 A B C D E F G H)) (forall ((J $$unsorted)) (= (tptp.r2_hidden J I) (not (and (not (= J A)) (not (= J B)) (not (= J C)) (not (= J D)) (not (= J E)) (not (= J F)) (not (= J G)) (not (= J H)))))))) true true true true true true true true true true true true true true true true true true true true true true true true true true true true true true true true true true true true true true true true (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.k2_tarski A B) (tptp.k2_xboole_0 (tptp.k1_tarski A) (tptp.k1_tarski B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.k1_enumset1 A B C) (tptp.k2_xboole_0 (tptp.k1_tarski A) (tptp.k2_tarski B C)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.k1_enumset1 A B C) (tptp.k2_xboole_0 (tptp.k2_tarski A B) (tptp.k1_tarski C)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (= (tptp.k2_enumset1 A B C D) (tptp.k2_xboole_0 (tptp.k1_tarski A) (tptp.k1_enumset1 B C D)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (= (tptp.k2_enumset1 A B C D) (tptp.k2_xboole_0 (tptp.k2_tarski A B) (tptp.k2_tarski C D)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (= (tptp.k2_enumset1 A B C D) (tptp.k2_xboole_0 (tptp.k1_enumset1 A B C) (tptp.k1_tarski D)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (= (tptp.k3_enumset1 A B C D E) (tptp.k2_xboole_0 (tptp.k1_tarski A) (tptp.k2_enumset1 B C D E)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (= (tptp.k3_enumset1 A B C D E) (tptp.k2_xboole_0 (tptp.k2_tarski A B) (tptp.k1_enumset1 C D E)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (= (tptp.k3_enumset1 A B C D E) (tptp.k2_xboole_0 (tptp.k1_enumset1 A B C) (tptp.k2_tarski D E)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (= (tptp.k3_enumset1 A B C D E) (tptp.k2_xboole_0 (tptp.k2_enumset1 A B C D) (tptp.k1_tarski E)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted)) (= (tptp.k4_enumset1 A B C D E F) (tptp.k2_xboole_0 (tptp.k1_tarski A) (tptp.k3_enumset1 B C D E F)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted)) (= (tptp.k4_enumset1 A B C D E F) (tptp.k2_xboole_0 (tptp.k2_tarski A B) (tptp.k2_enumset1 C D E F)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted)) (= (tptp.k4_enumset1 A B C D E F) (tptp.k2_xboole_0 (tptp.k1_enumset1 A B C) (tptp.k1_enumset1 D E F)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted)) (= (tptp.k4_enumset1 A B C D E F) (tptp.k2_xboole_0 (tptp.k2_enumset1 A B C D) (tptp.k2_tarski E F)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted)) (= (tptp.k4_enumset1 A B C D E F) (tptp.k2_xboole_0 (tptp.k3_enumset1 A B C D E) (tptp.k1_tarski F)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted) (G $$unsorted)) (= (tptp.k5_enumset1 A B C D E F G) (tptp.k2_xboole_0 (tptp.k1_tarski A) (tptp.k4_enumset1 B C D E F G)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted) (G $$unsorted)) (= (tptp.k5_enumset1 A B C D E F G) (tptp.k2_xboole_0 (tptp.k2_tarski A B) (tptp.k3_enumset1 C D E F G)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted) (G $$unsorted)) (= (tptp.k5_enumset1 A B C D E F G) (tptp.k2_xboole_0 (tptp.k1_enumset1 A B C) (tptp.k2_enumset1 D E F G)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted) (G $$unsorted)) (= (tptp.k5_enumset1 A B C D E F G) (tptp.k2_xboole_0 (tptp.k2_enumset1 A B C D) (tptp.k1_enumset1 E F G)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted) (G $$unsorted)) (= (tptp.k5_enumset1 A B C D E F G) (tptp.k2_xboole_0 (tptp.k3_enumset1 A B C D E) (tptp.k2_tarski F G)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted) (G $$unsorted)) (= (tptp.k5_enumset1 A B C D E F G) (tptp.k2_xboole_0 (tptp.k4_enumset1 A B C D E F) (tptp.k1_tarski G)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted) (G $$unsorted) (H $$unsorted)) (= (tptp.k6_enumset1 A B C D E F G H) (tptp.k2_xboole_0 (tptp.k1_tarski A) (tptp.k5_enumset1 B C D E F G H)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted) (G $$unsorted) (H $$unsorted)) (= (tptp.k6_enumset1 A B C D E F G H) (tptp.k2_xboole_0 (tptp.k2_tarski A B) (tptp.k4_enumset1 C D E F G H)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted) (G $$unsorted) (H $$unsorted)) (= (tptp.k6_enumset1 A B C D E F G H) (tptp.k2_xboole_0 (tptp.k1_enumset1 A B C) (tptp.k3_enumset1 D E F G H)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted) (G $$unsorted) (H $$unsorted)) (= (tptp.k6_enumset1 A B C D E F G H) (tptp.k2_xboole_0 (tptp.k2_enumset1 A B C D) (tptp.k2_enumset1 E F G H)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted) (G $$unsorted) (H $$unsorted)) (= (tptp.k6_enumset1 A B C D E F G H) (tptp.k2_xboole_0 (tptp.k3_enumset1 A B C D E) (tptp.k1_enumset1 F G H)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted) (G $$unsorted) (H $$unsorted)) (= (tptp.k6_enumset1 A B C D E F G H) (tptp.k2_xboole_0 (tptp.k4_enumset1 A B C D E F) (tptp.k2_tarski G H)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted) (G $$unsorted) (H $$unsorted)) (= (tptp.k6_enumset1 A B C D E F G H) (tptp.k2_xboole_0 (tptp.k5_enumset1 A B C D E F G) (tptp.k1_tarski H)))) (forall ((A $$unsorted)) (= (tptp.k2_tarski A A) (tptp.k1_tarski A))) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.k1_enumset1 A A B) (tptp.k2_tarski A B))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.k2_enumset1 A A B C) (tptp.k1_enumset1 A B C))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (= (tptp.k3_enumset1 A A B C D) (tptp.k2_enumset1 A B C D))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (= (tptp.k4_enumset1 A A B C D E) (tptp.k3_enumset1 A B C D E))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted)) (= (tptp.k5_enumset1 A A B C D E F) (tptp.k4_enumset1 A B C D E F))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted) (G $$unsorted)) (= (tptp.k6_enumset1 A A B C D E F G) (tptp.k5_enumset1 A B C D E F G))) (forall ((A $$unsorted)) (= (tptp.k1_enumset1 A A A) (tptp.k1_tarski A))) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.k2_enumset1 A A A B) (tptp.k2_tarski A B))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.k3_enumset1 A A A B C) (tptp.k1_enumset1 A B C))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (= (tptp.k4_enumset1 A A A B C D) (tptp.k2_enumset1 A B C D))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (= (tptp.k5_enumset1 A A A B C D E) (tptp.k3_enumset1 A B C D E))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted)) (= (tptp.k6_enumset1 A A A B C D E F) (tptp.k4_enumset1 A B C D E F))) (forall ((A $$unsorted)) (= (tptp.k2_enumset1 A A A A) (tptp.k1_tarski A))) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.k3_enumset1 A A A A B) (tptp.k2_tarski A B))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.k4_enumset1 A A A A B C) (tptp.k1_enumset1 A B C))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (= (tptp.k5_enumset1 A A A A B C D) (tptp.k2_enumset1 A B C D))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (= (tptp.k6_enumset1 A A A A B C D E) (tptp.k3_enumset1 A B C D E))) (forall ((A $$unsorted)) (= (tptp.k3_enumset1 A A A A A) (tptp.k1_tarski A))) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.k4_enumset1 A A A A A B) (tptp.k2_tarski A B))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.k5_enumset1 A A A A A B C) (tptp.k1_enumset1 A B C))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (= (tptp.k6_enumset1 A A A A A B C D) (tptp.k2_enumset1 A B C D))) (forall ((A $$unsorted)) (= (tptp.k4_enumset1 A A A A A A) (tptp.k1_tarski A))) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.k5_enumset1 A A A A A A B) (tptp.k2_tarski A B))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.k6_enumset1 A A A A A A B C) (tptp.k1_enumset1 A B C))) (forall ((A $$unsorted)) (= (tptp.k5_enumset1 A A A A A A A) (tptp.k1_tarski A))) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.k6_enumset1 A A A A A A A B) (tptp.k2_tarski A B))) (forall ((A $$unsorted)) (= (tptp.k6_enumset1 A A A A A A A A) (tptp.k1_tarski A))) true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.k1_enumset1 A B C) (tptp.k1_enumset1 A C B))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.k1_enumset1 A B C) (tptp.k1_enumset1 B A C))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.k1_enumset1 A B C) (tptp.k1_enumset1 B C A))) true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.k1_enumset1 A B C) (tptp.k1_enumset1 C B A))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (= (tptp.k2_enumset1 A B C D) (tptp.k2_enumset1 A B D C))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (= (tptp.k2_enumset1 A B C D) (tptp.k2_enumset1 A C B D))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (= (tptp.k2_enumset1 A B C D) (tptp.k2_enumset1 A C D B))) true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (= (tptp.k2_enumset1 A B C D) (tptp.k2_enumset1 A D C B))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (= (tptp.k2_enumset1 A B C D) (tptp.k2_enumset1 B A C D))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (= (tptp.k2_enumset1 A B C D) (tptp.k2_enumset1 B A D C))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (= (tptp.k2_enumset1 A B C D) (tptp.k2_enumset1 B C A D))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (= (tptp.k2_enumset1 A B C D) (tptp.k2_enumset1 B C D A))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (= (tptp.k2_enumset1 A B C D) (tptp.k2_enumset1 B D A C))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (= (tptp.k2_enumset1 A B C D) (tptp.k2_enumset1 B D C A))) true true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (= (tptp.k2_enumset1 A B C D) (tptp.k2_enumset1 C B A D))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (= (tptp.k2_enumset1 A B C D) (tptp.k2_enumset1 C B D A))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (= (tptp.k2_enumset1 A B C D) (tptp.k2_enumset1 C D A B))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (= (tptp.k2_enumset1 A B C D) (tptp.k2_enumset1 C D B A))) true true true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (= (tptp.k2_enumset1 A B C D) (tptp.k2_enumset1 D B C A))) true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (= (tptp.k2_enumset1 A B C D) (tptp.k2_enumset1 D C B A))) true true true true true true (forall ((A $$unsorted) (B $$unsorted)) (not (tptp.v1_xboole_0 (tptp.k4_tarski A B)))) (forall ((A $$unsorted) (B $$unsorted)) (= (= B (tptp.k1_zfmisc_1 A)) (forall ((C $$unsorted)) (= (tptp.r2_hidden C B) (tptp.r1_tarski C A))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (= C (tptp.k2_zfmisc_1 A B)) (forall ((D $$unsorted)) (= (tptp.r2_hidden D C) (exists ((E $$unsorted) (F $$unsorted)) (and (tptp.r2_hidden E A) (tptp.r2_hidden F B) (= D (tptp.k4_tarski E F)))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.k3_zfmisc_1 A B C) (tptp.k2_zfmisc_1 (tptp.k2_zfmisc_1 A B) C))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (= (tptp.k4_zfmisc_1 A B C D) (tptp.k2_zfmisc_1 (tptp.k3_zfmisc_1 A B C) D))) (= (tptp.k1_zfmisc_1 tptp.k1_xboole_0) _let_27) (= (tptp.k3_tarski tptp.k1_xboole_0) tptp.k1_xboole_0) true true true (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.r1_tarski (tptp.k1_tarski A) (tptp.k1_tarski B)) (= A B))) true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (= (tptp.k1_tarski A) (tptp.k2_tarski B C)) (= A B))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (= (tptp.k1_tarski A) (tptp.k2_tarski B C)) (= B C))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (not (and (= (tptp.k2_tarski A B) (tptp.k2_tarski C D)) (not (= A C)) (not (= A D))))) true (forall ((A $$unsorted) (B $$unsorted)) (tptp.r1_tarski (tptp.k1_tarski A) (tptp.k2_tarski A B))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k1_tarski A))) (=> (= (tptp.k2_xboole_0 _let_1 (tptp.k1_tarski B)) _let_1) (= A B)))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k2_tarski A B))) (= (tptp.k2_xboole_0 (tptp.k1_tarski A) _let_1) _let_1))) true (forall ((A $$unsorted) (B $$unsorted)) (not (and (tptp.r1_xboole_0 (tptp.k1_tarski A) (tptp.k1_tarski B)) (= A B)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (not (= A B)) (tptp.r1_xboole_0 (tptp.k1_tarski A) (tptp.k1_tarski B)))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k1_tarski A))) (=> (= (tptp.k3_xboole_0 _let_1 (tptp.k1_tarski B)) _let_1) (= A B)))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k1_tarski A))) (= (tptp.k3_xboole_0 _let_1 (tptp.k2_tarski A B)) _let_1))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k1_tarski A))) (= (= (tptp.k4_xboole_0 _let_1 (tptp.k1_tarski B)) _let_1) (not (= A B))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (= (tptp.k4_xboole_0 (tptp.k1_tarski A) (tptp.k1_tarski B)) tptp.k1_xboole_0) (= A B))) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.k4_xboole_0 (tptp.k1_tarski A) (tptp.k2_tarski A B)) tptp.k1_xboole_0)) (forall ((A $$unsorted) (B $$unsorted)) (=> (not (= A B)) (= (tptp.k4_xboole_0 (tptp.k2_tarski A B) (tptp.k1_tarski B)) (tptp.k1_tarski A)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.r1_tarski (tptp.k1_tarski A) (tptp.k1_tarski B)) (= A B))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (not (and (tptp.r1_tarski (tptp.k1_tarski A) (tptp.k2_tarski B C)) (not (= A B)) (not (= A C))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.r1_tarski (tptp.k2_tarski A B) (tptp.k1_tarski C)) (= A C))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k1_tarski C))) (let ((_let_2 (tptp.k2_tarski A B))) (=> (tptp.r1_tarski _let_2 _let_1) (= _let_2 _let_1))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (not (and (tptp.r1_tarski (tptp.k2_tarski A B) (tptp.k2_tarski C D)) (not (= A C)) (not (= A D))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (not (= A B)) (= (tptp.k5_xboole_0 (tptp.k1_tarski A) (tptp.k1_tarski B)) (tptp.k2_tarski A B)))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k1_tarski A))) (= (tptp.k1_zfmisc_1 _let_1) (tptp.k2_tarski tptp.k1_xboole_0 _let_1)))) (forall ((A $$unsorted)) (= (tptp.k3_tarski (tptp.k1_tarski A)) A)) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.k3_tarski (tptp.k2_tarski (tptp.k1_tarski A) (tptp.k1_tarski B))) (tptp.k2_tarski A B))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (= (tptp.k4_tarski A B) (tptp.k4_tarski C D)) (and (= A C) (= B D)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (= (tptp.r2_hidden (tptp.k4_tarski A B) (tptp.k2_zfmisc_1 (tptp.k1_tarski C) (tptp.k1_tarski D))) (and (= A C) (= B D)))) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.k2_zfmisc_1 (tptp.k1_tarski A) (tptp.k1_tarski B)) (tptp.k1_tarski (tptp.k4_tarski A B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k4_tarski A C))) (and (= (tptp.k2_zfmisc_1 (tptp.k1_tarski A) (tptp.k2_tarski B C)) (tptp.k2_tarski (tptp.k4_tarski A B) _let_1)) (= (tptp.k2_zfmisc_1 (tptp.k2_tarski A B) (tptp.k1_tarski C)) (tptp.k2_tarski _let_1 (tptp.k4_tarski B C)))))) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.r1_tarski (tptp.k1_tarski A) B) (tptp.r2_hidden A B))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.r1_tarski (tptp.k2_tarski A B) C) (and (tptp.r2_hidden A C) (tptp.r2_hidden B C)))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k1_tarski B))) (= (tptp.r1_tarski A _let_1) (or (= A tptp.k1_xboole_0) (= A _let_1))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.r1_tarski A B) (or (tptp.r2_hidden C A) (tptp.r1_tarski A (tptp.k4_xboole_0 B (tptp.k1_tarski C)))))) (forall ((A $$unsorted) (B $$unsorted)) (not (and (not (= A (tptp.k1_tarski B))) (not (= A tptp.k1_xboole_0)) (forall ((C $$unsorted)) (not (and (tptp.r2_hidden C A) (not (= C B)))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k2_tarski B C))) (= (tptp.r1_tarski A _let_1) (not (and (not (= A tptp.k1_xboole_0)) (not (= A (tptp.k1_tarski B))) (not (= A (tptp.k1_tarski C))) (not (= A _let_1))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k1_tarski A))) (let ((_let_2 (= B _let_1))) (let ((_let_3 (= C _let_1))) (not (and (= _let_1 (tptp.k2_xboole_0 B C)) (not (and _let_2 _let_3)) (not (and (= B tptp.k1_xboole_0) _let_3)) (not (and _let_2 (= C tptp.k1_xboole_0))))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (not (and (= (tptp.k1_tarski A) (tptp.k2_xboole_0 B C)) (not (= B C)) (not (= B tptp.k1_xboole_0)) (not (= C tptp.k1_xboole_0))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.r1_tarski (tptp.k2_xboole_0 (tptp.k1_tarski A) B) B) (tptp.r2_hidden A B))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.r2_hidden A B) (= (tptp.k2_xboole_0 (tptp.k1_tarski A) B) B))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.r1_tarski (tptp.k2_xboole_0 (tptp.k2_tarski A B) C) C) (tptp.r2_hidden A C))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.r2_hidden A B) (tptp.r2_hidden C B)) (= (tptp.k2_xboole_0 (tptp.k2_tarski A C) B) B))) (forall ((A $$unsorted) (B $$unsorted)) (not (= (tptp.k2_xboole_0 (tptp.k1_tarski A) B) tptp.k1_xboole_0))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (not (= (tptp.k2_xboole_0 (tptp.k2_tarski A B) C) tptp.k1_xboole_0))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k1_tarski B))) (=> (= (tptp.k3_xboole_0 A _let_1) _let_1) (tptp.r2_hidden B A)))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k1_tarski A))) (=> (tptp.r2_hidden A B) (= (tptp.k3_xboole_0 B _let_1) _let_1)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k2_tarski A C))) (=> (and (tptp.r2_hidden A B) (tptp.r2_hidden C B)) (= (tptp.k3_xboole_0 _let_1 B) _let_1)))) (forall ((A $$unsorted) (B $$unsorted)) (not (and (tptp.r1_xboole_0 (tptp.k1_tarski A) B) (tptp.r2_hidden A B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (not (and (tptp.r1_xboole_0 (tptp.k2_tarski A B) C) (tptp.r2_hidden A C)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (not (tptp.r2_hidden A B)) (tptp.r1_xboole_0 (tptp.k1_tarski A) B))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (not (and (not (tptp.r2_hidden A B)) (not (tptp.r2_hidden C B)) (not (tptp.r1_xboole_0 (tptp.k2_tarski A C) B))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k1_tarski A))) (or (tptp.r1_xboole_0 _let_1 B) (= (tptp.k3_xboole_0 _let_1 B) _let_1)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (not (and (= (tptp.k3_xboole_0 (tptp.k2_tarski A B) C) (tptp.k1_tarski A)) (tptp.r2_hidden B C) (not (= A B))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.r2_hidden A B) (or (and (tptp.r2_hidden C B) (not (= A C))) (= (tptp.k3_xboole_0 (tptp.k2_tarski A C) B) (tptp.k1_tarski A))))) true true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k2_tarski A B))) (=> (= (tptp.k3_xboole_0 _let_1 C) _let_1) (tptp.r2_hidden A C)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.r2_hidden A (tptp.k4_xboole_0 B (tptp.k1_tarski C))) (and (tptp.r2_hidden A B) (not (= A C))))) (forall ((A $$unsorted) (B $$unsorted)) (= (= (tptp.k4_xboole_0 A (tptp.k1_tarski B)) A) (not (tptp.r2_hidden B A)))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k1_tarski B))) (not (and (= (tptp.k4_xboole_0 A _let_1) tptp.k1_xboole_0) (not (= A tptp.k1_xboole_0)) (not (= A _let_1)))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k1_tarski A))) (= (= (tptp.k4_xboole_0 _let_1 B) _let_1) (not (tptp.r2_hidden A B))))) (forall ((A $$unsorted) (B $$unsorted)) (= (= (tptp.k4_xboole_0 (tptp.k1_tarski A) B) tptp.k1_xboole_0) (tptp.r2_hidden A B))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k1_tarski A))) (let ((_let_2 (tptp.k4_xboole_0 _let_1 B))) (or (= _let_2 tptp.k1_xboole_0) (= _let_2 _let_1))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (= (tptp.k4_xboole_0 (tptp.k2_tarski A B) C) (tptp.k1_tarski A)) (and (not (tptp.r2_hidden A C)) (or (tptp.r2_hidden B C) (= A B))))) true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k2_tarski A B))) (= (= (tptp.k4_xboole_0 _let_1 C) _let_1) (and (not (tptp.r2_hidden A C)) (not (tptp.r2_hidden B C)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (= (tptp.k4_xboole_0 (tptp.k2_tarski A B) C) tptp.k1_xboole_0) (and (tptp.r2_hidden A C) (tptp.r2_hidden B C)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k2_tarski A B))) (let ((_let_2 (tptp.k4_xboole_0 _let_1 C))) (not (and (not (= _let_2 tptp.k1_xboole_0)) (not (= _let_2 (tptp.k1_tarski A))) (not (= _let_2 (tptp.k1_tarski B))) (not (= _let_2 _let_1))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k2_tarski B C))) (= (= (tptp.k4_xboole_0 A _let_1) tptp.k1_xboole_0) (not (and (not (= A tptp.k1_xboole_0)) (not (= A (tptp.k1_tarski B))) (not (= A (tptp.k1_tarski C))) (not (= A _let_1))))))) true true true (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.r1_tarski A B) (tptp.r1_tarski (tptp.k1_zfmisc_1 A) (tptp.k1_zfmisc_1 B)))) (forall ((A $$unsorted)) (tptp.r1_tarski (tptp.k1_tarski A) (tptp.k1_zfmisc_1 A))) (forall ((A $$unsorted) (B $$unsorted)) (tptp.r1_tarski (tptp.k2_xboole_0 (tptp.k1_zfmisc_1 A) (tptp.k1_zfmisc_1 B)) (tptp.k1_zfmisc_1 (tptp.k2_xboole_0 A B)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (= (tptp.k2_xboole_0 (tptp.k1_zfmisc_1 A) (tptp.k1_zfmisc_1 B)) (tptp.k1_zfmisc_1 (tptp.k2_xboole_0 A B))) (tptp.r3_xboole_0 A B))) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.k1_zfmisc_1 (tptp.k3_xboole_0 A B)) (tptp.k3_xboole_0 (tptp.k1_zfmisc_1 A) (tptp.k1_zfmisc_1 B)))) (forall ((A $$unsorted) (B $$unsorted)) (tptp.r1_tarski (tptp.k1_zfmisc_1 (tptp.k4_xboole_0 A B)) (tptp.k2_xboole_0 (tptp.k1_tarski tptp.k1_xboole_0) (tptp.k4_xboole_0 (tptp.k1_zfmisc_1 A) (tptp.k1_zfmisc_1 B))))) true (forall ((A $$unsorted) (B $$unsorted)) (tptp.r1_tarski (tptp.k2_xboole_0 (tptp.k1_zfmisc_1 (tptp.k4_xboole_0 A B)) (tptp.k1_zfmisc_1 (tptp.k4_xboole_0 B A))) (tptp.k1_zfmisc_1 (tptp.k5_xboole_0 A B)))) true true true true true (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.r2_hidden A B) (tptp.r1_tarski A (tptp.k3_tarski B)))) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.k3_tarski (tptp.k2_tarski A B)) (tptp.k2_xboole_0 A B))) (forall ((A $$unsorted) (B $$unsorted)) (=> (forall ((C $$unsorted)) (=> (tptp.r2_hidden C A) (tptp.r1_tarski C B))) (tptp.r1_tarski (tptp.k3_tarski A) B))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.r1_tarski A B) (tptp.r1_tarski (tptp.k3_tarski A) (tptp.k3_tarski B)))) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.k3_tarski (tptp.k2_xboole_0 A B)) (tptp.k2_xboole_0 (tptp.k3_tarski A) (tptp.k3_tarski B)))) (forall ((A $$unsorted) (B $$unsorted)) (tptp.r1_tarski (tptp.k3_tarski (tptp.k3_xboole_0 A B)) (tptp.k3_xboole_0 (tptp.k3_tarski A) (tptp.k3_tarski B)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (forall ((C $$unsorted)) (=> (tptp.r2_hidden C A) (tptp.r1_xboole_0 C B))) (tptp.r1_xboole_0 (tptp.k3_tarski A) B))) (forall ((A $$unsorted)) (= (tptp.k3_tarski (tptp.k1_zfmisc_1 A)) A)) (forall ((A $$unsorted)) (tptp.r1_tarski A (tptp.k1_zfmisc_1 (tptp.k3_tarski A)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (forall ((C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k2_xboole_0 A B))) (=> (and (tptp.r2_hidden C _let_1) (tptp.r2_hidden D _let_1)) (or (= C D) (tptp.r1_xboole_0 C D))))) (= (tptp.k3_tarski (tptp.k3_xboole_0 A B)) (tptp.k3_xboole_0 (tptp.k3_tarski A) (tptp.k3_tarski B))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (not (and (tptp.r2_hidden A (tptp.k2_zfmisc_1 B C)) (forall ((D $$unsorted) (E $$unsorted)) (not (= (tptp.k4_tarski D E) A)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (not (and (tptp.r1_tarski A (tptp.k2_zfmisc_1 B C)) (tptp.r2_hidden D A) (forall ((E $$unsorted) (F $$unsorted)) (not (and (tptp.r2_hidden E B) (tptp.r2_hidden F C) (= D (tptp.k4_tarski E F)))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (not (and (tptp.r2_hidden A (tptp.k3_xboole_0 (tptp.k2_zfmisc_1 B C) (tptp.k2_zfmisc_1 D E))) (forall ((F $$unsorted) (G $$unsorted)) (not (and (= A (tptp.k4_tarski F G)) (tptp.r2_hidden F (tptp.k3_xboole_0 B D)) (tptp.r2_hidden G (tptp.k3_xboole_0 C E)))))))) (forall ((A $$unsorted) (B $$unsorted)) (tptp.r1_tarski (tptp.k2_zfmisc_1 A B) (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 (tptp.k2_xboole_0 A B))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (= (tptp.r2_hidden (tptp.k4_tarski A B) (tptp.k2_zfmisc_1 C D)) (and (tptp.r2_hidden A C) (tptp.r2_hidden B D)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (tptp.r2_hidden (tptp.k4_tarski A B) (tptp.k2_zfmisc_1 C D)) (tptp.r2_hidden (tptp.k4_tarski B A) (tptp.k2_zfmisc_1 D C)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (forall ((E $$unsorted) (F $$unsorted)) (let ((_let_1 (tptp.k4_tarski E F))) (= (tptp.r2_hidden _let_1 (tptp.k2_zfmisc_1 A B)) (tptp.r2_hidden _let_1 (tptp.k2_zfmisc_1 C D))))) (= (tptp.k2_zfmisc_1 A B) (tptp.k2_zfmisc_1 C D)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.r1_tarski A (tptp.k2_zfmisc_1 B C)) (forall ((E $$unsorted) (F $$unsorted)) (let ((_let_1 (tptp.k4_tarski E F))) (=> (tptp.r2_hidden _let_1 A) (tptp.r2_hidden _let_1 D))))) (tptp.r1_tarski A D))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted)) (=> (and (tptp.r1_tarski A (tptp.k2_zfmisc_1 B C)) (tptp.r1_tarski D (tptp.k2_zfmisc_1 E F)) (forall ((G $$unsorted) (H $$unsorted)) (let ((_let_1 (tptp.k4_tarski G H))) (= (tptp.r2_hidden _let_1 A) (tptp.r2_hidden _let_1 D))))) (= A D))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (forall ((C $$unsorted)) (not (and (tptp.r2_hidden C A) (forall ((D $$unsorted) (E $$unsorted)) (not (= C (tptp.k4_tarski D E))))))) (forall ((C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k4_tarski C D))) (=> (tptp.r2_hidden _let_1 A) (tptp.r2_hidden _let_1 B))))) (tptp.r1_tarski A B))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (forall ((C $$unsorted)) (not (and (tptp.r2_hidden C A) (forall ((D $$unsorted) (E $$unsorted)) (not (= C (tptp.k4_tarski D E))))))) (forall ((C $$unsorted)) (not (and (tptp.r2_hidden C B) (forall ((D $$unsorted) (E $$unsorted)) (not (= C (tptp.k4_tarski D E))))))) (forall ((C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k4_tarski C D))) (= (tptp.r2_hidden _let_1 A) (tptp.r2_hidden _let_1 B))))) (= A B))) (forall ((A $$unsorted) (B $$unsorted)) (= (= (tptp.k2_zfmisc_1 A B) tptp.k1_xboole_0) (or (= A tptp.k1_xboole_0) (= B tptp.k1_xboole_0)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (= (tptp.k2_zfmisc_1 A B) (tptp.k2_zfmisc_1 B A)) (or (= A tptp.k1_xboole_0) (= B tptp.k1_xboole_0) (= A B)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (= (tptp.k2_zfmisc_1 A A) (tptp.k2_zfmisc_1 B B)) (= A B))) (forall ((A $$unsorted)) (=> (tptp.r1_tarski A (tptp.k2_zfmisc_1 A A)) (= A tptp.k1_xboole_0))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (not (and (not (= A tptp.k1_xboole_0)) (or (tptp.r1_tarski (tptp.k2_zfmisc_1 B A) (tptp.k2_zfmisc_1 C A)) (tptp.r1_tarski (tptp.k2_zfmisc_1 A B) (tptp.k2_zfmisc_1 A C))) (not (tptp.r1_tarski B C))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.r1_tarski A B) (and (tptp.r1_tarski (tptp.k2_zfmisc_1 A C) (tptp.k2_zfmisc_1 B C)) (tptp.r1_tarski (tptp.k2_zfmisc_1 C A) (tptp.k2_zfmisc_1 C B))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.r1_tarski A B) (tptp.r1_tarski C D)) (tptp.r1_tarski (tptp.k2_zfmisc_1 A C) (tptp.k2_zfmisc_1 B D)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k2_xboole_0 A B))) (and (= (tptp.k2_zfmisc_1 _let_1 C) (tptp.k2_xboole_0 (tptp.k2_zfmisc_1 A C) (tptp.k2_zfmisc_1 B C))) (= (tptp.k2_zfmisc_1 C _let_1) (tptp.k2_xboole_0 (tptp.k2_zfmisc_1 C A) (tptp.k2_zfmisc_1 C B)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (= (tptp.k2_zfmisc_1 (tptp.k2_xboole_0 A B) (tptp.k2_xboole_0 C D)) (tptp.k2_xboole_0 (tptp.k2_xboole_0 (tptp.k2_xboole_0 (tptp.k2_zfmisc_1 A C) (tptp.k2_zfmisc_1 A D)) (tptp.k2_zfmisc_1 B C)) (tptp.k2_zfmisc_1 B D)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k3_xboole_0 A B))) (and (= (tptp.k2_zfmisc_1 _let_1 C) (tptp.k3_xboole_0 (tptp.k2_zfmisc_1 A C) (tptp.k2_zfmisc_1 B C))) (= (tptp.k2_zfmisc_1 C _let_1) (tptp.k3_xboole_0 (tptp.k2_zfmisc_1 C A) (tptp.k2_zfmisc_1 C B)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (= (tptp.k2_zfmisc_1 (tptp.k3_xboole_0 A B) (tptp.k3_xboole_0 C D)) (tptp.k3_xboole_0 (tptp.k2_zfmisc_1 A C) (tptp.k2_zfmisc_1 B D)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.r1_tarski A B) (tptp.r1_tarski C D)) (= (tptp.k3_xboole_0 (tptp.k2_zfmisc_1 A D) (tptp.k2_zfmisc_1 B C)) (tptp.k2_zfmisc_1 A C)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k4_xboole_0 A B))) (and (= (tptp.k2_zfmisc_1 _let_1 C) (tptp.k4_xboole_0 (tptp.k2_zfmisc_1 A C) (tptp.k2_zfmisc_1 B C))) (= (tptp.k2_zfmisc_1 C _let_1) (tptp.k4_xboole_0 (tptp.k2_zfmisc_1 C A) (tptp.k2_zfmisc_1 C B)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (= (tptp.k4_xboole_0 (tptp.k2_zfmisc_1 A B) (tptp.k2_zfmisc_1 C D)) (tptp.k2_xboole_0 (tptp.k2_zfmisc_1 (tptp.k4_xboole_0 A C) B) (tptp.k2_zfmisc_1 A (tptp.k4_xboole_0 B D))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (or (tptp.r1_xboole_0 A B) (tptp.r1_xboole_0 C D)) (tptp.r1_xboole_0 (tptp.k2_zfmisc_1 A C) (tptp.k2_zfmisc_1 B D)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (= (tptp.r2_hidden (tptp.k4_tarski A B) (tptp.k2_zfmisc_1 (tptp.k1_tarski C) D)) (and (= A C) (tptp.r2_hidden B D)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (= (tptp.r2_hidden (tptp.k4_tarski A B) (tptp.k2_zfmisc_1 C (tptp.k1_tarski D))) (and (tptp.r2_hidden A C) (= B D)))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k1_tarski B))) (=> (not (= A tptp.k1_xboole_0)) (and (not (= (tptp.k2_zfmisc_1 _let_1 A) tptp.k1_xboole_0)) (not (= (tptp.k2_zfmisc_1 A _let_1) tptp.k1_xboole_0)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k1_tarski B))) (let ((_let_2 (tptp.k1_tarski A))) (=> (not (= A B)) (and (tptp.r1_xboole_0 (tptp.k2_zfmisc_1 _let_2 C) (tptp.k2_zfmisc_1 _let_1 D)) (tptp.r1_xboole_0 (tptp.k2_zfmisc_1 C _let_2) (tptp.k2_zfmisc_1 D _let_1))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k1_tarski B))) (let ((_let_2 (tptp.k1_tarski A))) (let ((_let_3 (tptp.k2_tarski A B))) (and (= (tptp.k2_zfmisc_1 _let_3 C) (tptp.k2_xboole_0 (tptp.k2_zfmisc_1 _let_2 C) (tptp.k2_zfmisc_1 _let_1 C))) (= (tptp.k2_zfmisc_1 C _let_3) (tptp.k2_xboole_0 (tptp.k2_zfmisc_1 C _let_2) (tptp.k2_zfmisc_1 C _let_1)))))))) true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (= (tptp.k2_zfmisc_1 A B) (tptp.k2_zfmisc_1 C D)) (or (= A tptp.k1_xboole_0) (= B tptp.k1_xboole_0) (and (= A C) (= B D))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (or (tptp.r1_tarski A (tptp.k2_zfmisc_1 A B)) (tptp.r1_tarski A (tptp.k2_zfmisc_1 B A))) (= A tptp.k1_xboole_0))) (forall ((A $$unsorted)) (exists ((B $$unsorted)) (and (tptp.r2_hidden A B) (forall ((C $$unsorted) (D $$unsorted)) (=> (and (tptp.r2_hidden C B) (tptp.r1_tarski D C)) (tptp.r2_hidden D B))) (forall ((C $$unsorted)) (=> (tptp.r2_hidden C B) (tptp.r2_hidden (tptp.k1_zfmisc_1 C) B))) (forall ((C $$unsorted)) (not (and (tptp.r1_tarski C B) (not (tptp.r2_tarski C B)) (not (tptp.r2_hidden C B)))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (=> (and (tptp.r2_hidden A (tptp.k2_zfmisc_1 B C)) (tptp.r2_hidden A (tptp.k2_zfmisc_1 D E))) (tptp.r2_hidden A (tptp.k2_zfmisc_1 (tptp.k3_xboole_0 B D) (tptp.k3_xboole_0 C E))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A B))) (=> (tptp.r1_tarski _let_1 (tptp.k2_zfmisc_1 C D)) (or (= _let_1 tptp.k1_xboole_0) (and (tptp.r1_tarski A C) (tptp.r1_tarski B D)))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (or (tptp.r1_tarski (tptp.k2_zfmisc_1 A B) (tptp.k2_zfmisc_1 C D)) (tptp.r1_tarski (tptp.k2_zfmisc_1 B A) (tptp.k2_zfmisc_1 D C))) (tptp.r1_tarski B D))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k1_tarski A))) (=> (tptp.r2_hidden A B) (= (tptp.k2_xboole_0 (tptp.k4_xboole_0 B _let_1) _let_1) B)))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k1_tarski A))) (=> (not (tptp.r2_hidden A B)) (= (tptp.k4_xboole_0 (tptp.k2_xboole_0 B _let_1) _let_1) B)))) true true true true (forall ((A $$unsorted)) (not (tptp.v1_xboole_0 (tptp.k1_zfmisc_1 A)))) (forall ((A $$unsorted)) (not (tptp.v1_xboole_0 (tptp.k1_tarski A)))) (forall ((A $$unsorted) (B $$unsorted)) (not (tptp.v1_xboole_0 (tptp.k2_tarski A B)))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (exists ((B $$unsorted)) (and (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (not (tptp.v1_xboole_0 B)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (not (tptp.v1_xboole_0 B))) (not (tptp.v1_xboole_0 (tptp.k2_zfmisc_1 A B))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (not (tptp.v1_xboole_0 B)) (not (tptp.v1_xboole_0 C))) (not (tptp.v1_xboole_0 (tptp.k3_zfmisc_1 A B C))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (not (tptp.v1_xboole_0 B)) (not (tptp.v1_xboole_0 C)) (not (tptp.v1_xboole_0 D))) (not (tptp.v1_xboole_0 (tptp.k4_zfmisc_1 A B C D))))) (forall ((A $$unsorted)) (exists ((B $$unsorted)) (and (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (tptp.v1_xboole_0 B)))) true (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.m1_subset_1 B A))) (let ((_let_2 (tptp.v1_xboole_0 A))) (and (=> (not _let_2) (= _let_1 (tptp.r2_hidden B A))) (=> _let_2 (= _let_1 (tptp.v1_xboole_0 B))))))) (forall ((A $$unsorted)) (= (tptp.k1_subset_1 A) tptp.k1_xboole_0)) (forall ((A $$unsorted)) (= (tptp.k2_subset_1 A) A)) true true true (forall ((A $$unsorted)) (tptp.m1_subset_1 tptp.k1_xboole_0 (tptp.k1_zfmisc_1 A))) true true (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 A)) (=> (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D A) (=> (tptp.r2_hidden D B) (tptp.r2_hidden D C)))) (tptp.r1_tarski B C)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 A)) (=> (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D A) (= (tptp.r2_hidden D B) (tptp.r2_hidden D C)))) (= B C)))))) true (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (not (and (not (= B tptp.k1_xboole_0)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C A) (not (tptp.r2_hidden C B)))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (= (tptp.k3_subset_1 A B) (tptp.k4_xboole_0 A B)))) true true true true (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 A)) (=> (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E A) (= (tptp.r2_hidden E B) (or (tptp.r2_hidden E C) (tptp.r2_hidden E D))))) (= B (tptp.k4_subset_1 A C D))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 A)) (=> (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E A) (= (tptp.r2_hidden E B) (and (tptp.r2_hidden E C) (tptp.r2_hidden E D))))) (= B (tptp.k5_subset_1 A C D))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 A)) (=> (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E A) (= (tptp.r2_hidden E B) (and (tptp.r2_hidden E C) (not (tptp.r2_hidden E D)))))) (= B (tptp.k6_subset_1 A C D))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 A)) (=> (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E A) (= (tptp.r2_hidden E B) (not (= (tptp.r2_hidden E C) (tptp.r2_hidden E D)))))) (= B (tptp.k7_subset_1 A C D))))))))) true true (forall ((A $$unsorted)) (= (tptp.k1_subset_1 A) (tptp.k3_subset_1 A (tptp.k2_subset_1 A)))) (forall ((A $$unsorted)) (= (tptp.k2_subset_1 A) (tptp.k3_subset_1 A (tptp.k1_subset_1 A)))) true true (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (= (tptp.k4_subset_1 A B (tptp.k3_subset_1 A B)) (tptp.k2_subset_1 A)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (tptp.r1_xboole_0 B (tptp.k3_subset_1 A B)))) true (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k2_subset_1 A))) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (= (tptp.k4_subset_1 A B _let_1) _let_1)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 A)) (= (tptp.k3_subset_1 A (tptp.k4_subset_1 A B C)) (tptp.k5_subset_1 A (tptp.k3_subset_1 A B) (tptp.k3_subset_1 A C))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 A)) (= (tptp.k3_subset_1 A (tptp.k5_subset_1 A B C)) (tptp.k4_subset_1 A (tptp.k3_subset_1 A B) (tptp.k3_subset_1 A C))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 A)) (= (tptp.r1_tarski B C) (tptp.r1_tarski (tptp.k3_subset_1 A C) (tptp.k3_subset_1 A B))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 A)) (= (tptp.k6_subset_1 A B C) (tptp.k5_subset_1 A B (tptp.k3_subset_1 A C))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 A)) (= (tptp.k3_subset_1 A (tptp.k6_subset_1 A B C)) (tptp.k4_subset_1 A (tptp.k3_subset_1 A B) C)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 A)) (= (tptp.k3_subset_1 A (tptp.k7_subset_1 A B C)) (tptp.k4_subset_1 A (tptp.k5_subset_1 A B C) (tptp.k5_subset_1 A (tptp.k3_subset_1 A B) (tptp.k3_subset_1 A C)))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 A)) (=> (tptp.r1_tarski B (tptp.k3_subset_1 A C)) (tptp.r1_tarski C (tptp.k3_subset_1 A B))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 A)) (=> (tptp.r1_tarski (tptp.k3_subset_1 A B) C) (tptp.r1_tarski (tptp.k3_subset_1 A C) B)))))) true (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (= (tptp.r1_tarski B (tptp.k3_subset_1 A B)) (= B (tptp.k1_subset_1 A))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (= (tptp.r1_tarski (tptp.k3_subset_1 A B) B) (= B (tptp.k2_subset_1 A))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 A)) (=> (and (tptp.r1_tarski B C) (tptp.r1_tarski B (tptp.k3_subset_1 A C))) (= B tptp.k1_xboole_0)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 A)) (tptp.r1_tarski (tptp.k3_subset_1 A (tptp.k4_subset_1 A B C)) (tptp.k3_subset_1 A B)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 A)) (tptp.r1_tarski (tptp.k3_subset_1 A B) (tptp.k3_subset_1 A (tptp.k5_subset_1 A B C))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 A)) (= (tptp.r1_xboole_0 B C) (tptp.r1_tarski B (tptp.k3_subset_1 A C))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 A)) (= (tptp.r1_xboole_0 B (tptp.k3_subset_1 A C)) (tptp.r1_tarski B C)))))) true (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k3_subset_1 A C))) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 A)) (=> (and (tptp.r1_xboole_0 B C) (tptp.r1_xboole_0 (tptp.k3_subset_1 A B) _let_1)) (= B _let_1))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 A)) (=> (and (tptp.r1_tarski B C) (tptp.r1_xboole_0 D C)) (tptp.r1_tarski B (tptp.k3_subset_1 A D))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 A)) (=> (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D B) (tptp.r2_hidden D C))) (tptp.r1_tarski B C)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (=> (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C A) (tptp.r2_hidden C B))) (= A B)))) (forall ((A $$unsorted)) (=> (not (= A tptp.k1_xboole_0)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C A) (=> (not (tptp.r2_hidden C B)) (tptp.r2_hidden C (tptp.k3_subset_1 A B))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 A)) (=> (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D A) (= (tptp.r2_hidden D B) (not (tptp.r2_hidden D C))))) (= B (tptp.k3_subset_1 A C))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 A)) (=> (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D A) (= (not (tptp.r2_hidden D B)) (tptp.r2_hidden D C)))) (= B (tptp.k3_subset_1 A C))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 A)) (=> (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D A) (not (= (tptp.r2_hidden D B) (tptp.r2_hidden D C))))) (= B (tptp.k3_subset_1 A C))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 A)) (not (and (tptp.r2_hidden B (tptp.k3_subset_1 A C)) (tptp.r2_hidden B C))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B A) (=> (not (= A tptp.k1_xboole_0)) (tptp.m1_subset_1 (tptp.k1_tarski B) (tptp.k1_zfmisc_1 A))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C A) (=> (not (= A tptp.k1_xboole_0)) (tptp.m1_subset_1 (tptp.k2_tarski B C) (tptp.k1_zfmisc_1 A))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C A) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D A) (=> (not (= A tptp.k1_xboole_0)) (tptp.m1_subset_1 (tptp.k1_enumset1 B C D) (tptp.k1_zfmisc_1 A))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C A) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D A) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E A) (=> (not (= A tptp.k1_xboole_0)) (tptp.m1_subset_1 (tptp.k2_enumset1 B C D E) (tptp.k1_zfmisc_1 A))))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C A) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D A) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E A) (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F A) (=> (not (= A tptp.k1_xboole_0)) (tptp.m1_subset_1 (tptp.k3_enumset1 B C D E F) (tptp.k1_zfmisc_1 A))))))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C A) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D A) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E A) (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F A) (forall ((G $$unsorted)) (=> (tptp.m1_subset_1 G A) (=> (not (= A tptp.k1_xboole_0)) (tptp.m1_subset_1 (tptp.k4_enumset1 B C D E F G) (tptp.k1_zfmisc_1 A))))))))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C A) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D A) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E A) (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F A) (forall ((G $$unsorted)) (=> (tptp.m1_subset_1 G A) (forall ((H $$unsorted)) (=> (tptp.m1_subset_1 H A) (=> (not (= A tptp.k1_xboole_0)) (tptp.m1_subset_1 (tptp.k5_enumset1 B C D E F G H) (tptp.k1_zfmisc_1 A))))))))))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C A) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D A) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E A) (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F A) (forall ((G $$unsorted)) (=> (tptp.m1_subset_1 G A) (forall ((H $$unsorted)) (=> (tptp.m1_subset_1 H A) (forall ((I $$unsorted)) (=> (tptp.m1_subset_1 I A) (=> (not (= A tptp.k1_xboole_0)) (tptp.m1_subset_1 (tptp.k6_enumset1 B C D E F G H I) (tptp.k1_zfmisc_1 A))))))))))))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.r2_hidden A B) (tptp.m1_subset_1 (tptp.k1_tarski A) (tptp.k1_zfmisc_1 B)))) (forall ((A $$unsorted)) (=> (not true) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B A) (= B (tptp.k8_subset_1 A)))))) (exists ((A $$unsorted)) (and (tptp.m1_subset_1 A (tptp.k1_zfmisc_1 tptp.f1_s1_subset_1)) (forall ((B $$unsorted)) (= (tptp.r2_hidden B A) (and (tptp.r2_hidden B tptp.f1_s1_subset_1) (tptp.p1_s1_subset_1 B)))))) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A (tptp.k1_zfmisc_1 tptp.f1_s2_subset_1)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 tptp.f1_s2_subset_1)) (=> (and (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C tptp.f1_s2_subset_1) (= (tptp.r2_hidden C A) (tptp.p1_s2_subset_1 C)))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C tptp.f1_s2_subset_1) (= (tptp.r2_hidden C B) (tptp.p1_s2_subset_1 C))))) (= A B)))))) (exists ((A $$unsorted)) (and (tptp.m1_subset_1 A (tptp.k1_zfmisc_1 tptp.f1_s3_subset_1)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.f1_s3_subset_1) (= (tptp.r2_hidden B A) (tptp.p1_s3_subset_1 B)))))) (=> (and (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.f1_s4_subset_1) (= (tptp.r2_hidden A tptp.f2_s4_subset_1) (tptp.p1_s4_subset_1 A)))) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.f1_s4_subset_1) (= (tptp.r2_hidden A tptp.f3_s4_subset_1) (tptp.p1_s4_subset_1 A))))) (= tptp.f2_s4_subset_1 tptp.f3_s4_subset_1)) true (forall ((A $$unsorted)) (exists ((B $$unsorted)) (tptp.m1_subset_1 B A))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (not (tptp.v1_xboole_0 B)) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A))) (forall ((C $$unsorted)) (=> (tptp.m2_subset_1 C A B) (tptp.m1_subset_1 C A))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (not (tptp.v1_xboole_0 B)) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A))) (exists ((C $$unsorted)) (tptp.m2_subset_1 C A B)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (not (tptp.v1_xboole_0 B)) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A))) (forall ((C $$unsorted)) (= (tptp.m2_subset_1 C A B) (tptp.m1_subset_1 C B))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (not (tptp.v1_xboole_0 B))) (=> (tptp.r1_subset_1 A B) (tptp.r1_subset_1 B A)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (not (tptp.v1_xboole_0 B))) (not (tptp.r1_subset_1 A A)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (not (tptp.v1_xboole_0 B))) (= (tptp.r1_subset_1 A B) (tptp.r1_xboole_0 A B)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (not (tptp.v1_xboole_0 B))) (=> (tptp.r2_subset_1 A B) (tptp.r2_subset_1 B A)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (not (tptp.v1_xboole_0 B))) (not (tptp.r2_subset_1 A A)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (not (tptp.v1_xboole_0 B))) (= (tptp.r2_subset_1 A B) (tptp.r1_xboole_0 A B)))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k1_subset_1 A))) (and (tptp.v1_xboole_0 _let_1) (tptp.m1_subset_1 _let_1 (tptp.k1_zfmisc_1 A))))) (forall ((A $$unsorted)) (tptp.m1_subset_1 (tptp.k2_subset_1 A) (tptp.k1_zfmisc_1 A))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 A))) (=> (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 (tptp.k3_subset_1 A B) _let_1)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (= (tptp.k3_subset_1 A (tptp.k3_subset_1 A B)) B))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 A))) (=> (and (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (tptp.m1_subset_1 (tptp.k4_subset_1 A B C) _let_1)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 A))) (=> (and (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (= (tptp.k4_subset_1 A B C) (tptp.k4_subset_1 A C B))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 A))) (=> (and (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (= (tptp.k4_subset_1 A B B) B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 A))) (=> (and (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (= (tptp.k4_subset_1 A B C) (tptp.k2_xboole_0 B C))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 A))) (=> (and (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (tptp.m1_subset_1 (tptp.k5_subset_1 A B C) _let_1)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 A))) (=> (and (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (= (tptp.k5_subset_1 A B C) (tptp.k5_subset_1 A C B))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 A))) (=> (and (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (= (tptp.k5_subset_1 A B B) B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 A))) (=> (and (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (= (tptp.k5_subset_1 A B C) (tptp.k3_xboole_0 B C))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 A))) (=> (and (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (tptp.m1_subset_1 (tptp.k6_subset_1 A B C) _let_1)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 A))) (=> (and (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (= (tptp.k6_subset_1 A B C) (tptp.k4_xboole_0 B C))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 A))) (=> (and (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (tptp.m1_subset_1 (tptp.k7_subset_1 A B C) _let_1)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 A))) (=> (and (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (= (tptp.k7_subset_1 A B C) (tptp.k7_subset_1 A C B))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 A))) (=> (and (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (= (tptp.k7_subset_1 A B C) (tptp.k5_xboole_0 B C))))) (forall ((A $$unsorted)) (tptp.m1_subset_1 (tptp.k8_subset_1 A) A)) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_xboole_0 B) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 A)))) (tptp.v1_xboole_0 (tptp.k7_setfam_1 A B)))) (exists ((A $$unsorted)) (and (not (tptp.v1_xboole_0 A)) (tptp.v1_setfam_1 A))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k1_tarski A))) (=> (not (tptp.v1_xboole_0 A)) (and (not (tptp.v1_xboole_0 _let_1)) (tptp.v1_setfam_1 _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k2_tarski A B))) (=> (and (not (tptp.v1_xboole_0 A)) (not (tptp.v1_xboole_0 B))) (and (not (tptp.v1_xboole_0 _let_1)) (tptp.v1_setfam_1 _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_setfam_1 A) (tptp.v1_setfam_1 B)) (tptp.v1_setfam_1 (tptp.k2_xboole_0 A B)))) (forall ((A $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v1_setfam_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B A) (not (tptp.v1_xboole_0 B)))))) (exists ((A $$unsorted)) (not (tptp.v2_setfam_1 A))) (forall ((A $$unsorted)) (=> (not (tptp.v2_setfam_1 A)) (not (tptp.v1_xboole_0 A)))) (forall ((A $$unsorted)) (=> (not (tptp.v2_setfam_1 A)) (exists ((B $$unsorted)) (and (tptp.m1_subset_1 B A) (not (tptp.v1_xboole_0 B)))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (= B (tptp.k1_setfam_1 A)))) (let ((_let_2 (= A tptp.k1_xboole_0))) (and (=> (not _let_2) (= _let_1 (forall ((C $$unsorted)) (= (tptp.r2_hidden C B) (forall ((D $$unsorted)) (=> (tptp.r2_hidden D A) (tptp.r2_hidden C D))))))) (=> _let_2 (= _let_1 (= B tptp.k1_xboole_0))))))) true (= (tptp.k1_setfam_1 tptp.k1_xboole_0) tptp.k1_xboole_0) (forall ((A $$unsorted)) (tptp.r1_tarski (tptp.k1_setfam_1 A) (tptp.k3_tarski A))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.r2_hidden A B) (tptp.r1_tarski (tptp.k1_setfam_1 B) A))) (forall ((A $$unsorted)) (=> (tptp.r2_hidden tptp.k1_xboole_0 A) (= (tptp.k1_setfam_1 A) tptp.k1_xboole_0))) (forall ((A $$unsorted) (B $$unsorted)) (=> (forall ((C $$unsorted)) (=> (tptp.r2_hidden C A) (tptp.r1_tarski B C))) (or (= A tptp.k1_xboole_0) (tptp.r1_tarski B (tptp.k1_setfam_1 A))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.r1_tarski A B) (or (= A tptp.k1_xboole_0) (tptp.r1_tarski (tptp.k1_setfam_1 B) (tptp.k1_setfam_1 A))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.r2_hidden A B) (tptp.r1_tarski A C)) (tptp.r1_tarski (tptp.k1_setfam_1 B) C))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.r2_hidden A B) (tptp.r1_xboole_0 A C)) (tptp.r1_xboole_0 (tptp.k1_setfam_1 B) C))) (forall ((A $$unsorted) (B $$unsorted)) (not (and (not (= A tptp.k1_xboole_0)) (not (= B tptp.k1_xboole_0)) (not (= (tptp.k1_setfam_1 (tptp.k2_xboole_0 A B)) (tptp.k3_xboole_0 (tptp.k1_setfam_1 A) (tptp.k1_setfam_1 B))))))) (forall ((A $$unsorted)) (= (tptp.k1_setfam_1 (tptp.k1_tarski A)) A)) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.k1_setfam_1 (tptp.k2_tarski A B)) (tptp.k3_xboole_0 A B))) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.r1_setfam_1 A B) (forall ((C $$unsorted)) (not (and (tptp.r2_hidden C A) (forall ((D $$unsorted)) (not (and (tptp.r2_hidden D B) (tptp.r1_tarski C D))))))))) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.r2_setfam_1 A B) (forall ((C $$unsorted)) (not (and (tptp.r2_hidden C B) (forall ((D $$unsorted)) (not (and (tptp.r2_hidden D A) (tptp.r1_tarski D C))))))))) true true true true (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.r1_tarski A B) (tptp.r1_setfam_1 A B))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.r1_setfam_1 A B) (tptp.r1_tarski (tptp.k3_tarski A) (tptp.k3_tarski B)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.r2_setfam_1 B A) (or (= A tptp.k1_xboole_0) (tptp.r1_tarski (tptp.k1_setfam_1 B) (tptp.k1_setfam_1 A))))) (forall ((A $$unsorted)) (tptp.r1_setfam_1 tptp.k1_xboole_0 A)) (forall ((A $$unsorted)) (=> (tptp.r1_setfam_1 A tptp.k1_xboole_0) (= A tptp.k1_xboole_0))) true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.r1_setfam_1 A B) (tptp.r1_setfam_1 B C)) (tptp.r1_setfam_1 A C))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.r1_setfam_1 B (tptp.k1_tarski A)) (forall ((C $$unsorted)) (=> (tptp.r2_hidden C B) (tptp.r1_tarski C A))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.r1_setfam_1 C (tptp.k2_tarski A B)) (forall ((D $$unsorted)) (not (and (tptp.r2_hidden D C) (not (tptp.r1_tarski D A)) (not (tptp.r1_tarski D B))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (= C (tptp.k2_setfam_1 A B)) (forall ((D $$unsorted)) (= (tptp.r2_hidden D C) (exists ((E $$unsorted) (F $$unsorted)) (and (tptp.r2_hidden E A) (tptp.r2_hidden F B) (= D (tptp.k2_xboole_0 E F)))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (= C (tptp.k3_setfam_1 A B)) (forall ((D $$unsorted)) (= (tptp.r2_hidden D C) (exists ((E $$unsorted) (F $$unsorted)) (and (tptp.r2_hidden E A) (tptp.r2_hidden F B) (= D (tptp.k3_xboole_0 E F)))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (= C (tptp.k4_setfam_1 A B)) (forall ((D $$unsorted)) (= (tptp.r2_hidden D C) (exists ((E $$unsorted) (F $$unsorted)) (and (tptp.r2_hidden E A) (tptp.r2_hidden F B) (= D (tptp.k4_xboole_0 E F)))))))) true true true (forall ((A $$unsorted)) (tptp.r1_setfam_1 A (tptp.k2_setfam_1 A A))) (forall ((A $$unsorted)) (tptp.r1_setfam_1 (tptp.k3_setfam_1 A A) A)) (forall ((A $$unsorted)) (tptp.r1_setfam_1 (tptp.k4_setfam_1 A A) A)) true true (forall ((A $$unsorted) (B $$unsorted)) (=> (not (tptp.r1_xboole_0 A B)) (= (tptp.k3_xboole_0 (tptp.k1_setfam_1 A) (tptp.k1_setfam_1 B)) (tptp.k1_setfam_1 (tptp.k3_setfam_1 A B))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (not (= B tptp.k1_xboole_0)) (= (tptp.k2_xboole_0 A (tptp.k1_setfam_1 B)) (tptp.k1_setfam_1 (tptp.k2_setfam_1 (tptp.k1_tarski A) B))))) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.k3_xboole_0 A (tptp.k3_tarski B)) (tptp.k3_tarski (tptp.k3_setfam_1 (tptp.k1_tarski A) B)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (not (= B tptp.k1_xboole_0)) (= (tptp.k4_xboole_0 A (tptp.k3_tarski B)) (tptp.k1_setfam_1 (tptp.k4_setfam_1 (tptp.k1_tarski A) B))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (not (= B tptp.k1_xboole_0)) (= (tptp.k4_xboole_0 A (tptp.k1_setfam_1 B)) (tptp.k3_tarski (tptp.k4_setfam_1 (tptp.k1_tarski A) B))))) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.k3_tarski (tptp.k3_setfam_1 A B)) (tptp.k3_xboole_0 (tptp.k3_tarski A) (tptp.k3_tarski B)))) (forall ((A $$unsorted) (B $$unsorted)) (not (and (not (= A tptp.k1_xboole_0)) (not (= B tptp.k1_xboole_0)) (not (tptp.r1_tarski (tptp.k2_xboole_0 (tptp.k1_setfam_1 A) (tptp.k1_setfam_1 B)) (tptp.k1_setfam_1 (tptp.k2_setfam_1 A B))))))) (forall ((A $$unsorted) (B $$unsorted)) (tptp.r1_tarski (tptp.k1_setfam_1 (tptp.k4_setfam_1 A B)) (tptp.k4_xboole_0 (tptp.k1_setfam_1 A) (tptp.k1_setfam_1 B)))) true true (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 A))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 A))) (=> (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 A)) (= (tptp.r2_hidden D B) (tptp.r2_hidden D C)))) (= B C)))))) true (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 A))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 A))) (= (= C (tptp.k7_setfam_1 A B)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 A)) (= (tptp.r2_hidden D C) (tptp.r2_hidden (tptp.k3_subset_1 A D) B))))))))) true (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 A))) (not (and (not (= B tptp.k1_xboole_0)) (= (tptp.k7_setfam_1 A B) tptp.k1_xboole_0))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 A))) (=> (not (= B tptp.k1_xboole_0)) (= (tptp.k6_subset_1 A (tptp.k2_subset_1 A) (tptp.k5_setfam_1 A B)) (tptp.k6_setfam_1 A (tptp.k7_setfam_1 A B)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 A))) (=> (not (= B tptp.k1_xboole_0)) (= (tptp.k5_setfam_1 A (tptp.k7_setfam_1 A B)) (tptp.k6_subset_1 A (tptp.k2_subset_1 A) (tptp.k6_setfam_1 A B)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 A))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 A)) (= (tptp.r2_hidden (tptp.k3_subset_1 A C) (tptp.k7_setfam_1 A B)) (tptp.r2_hidden C B)))))) true (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 A))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 A))) (=> (tptp.r1_tarski (tptp.k7_setfam_1 A B) (tptp.k7_setfam_1 A C)) (tptp.r1_tarski B C)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 A))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 A))) (= (tptp.r1_tarski (tptp.k7_setfam_1 A B) C) (tptp.r1_tarski B (tptp.k7_setfam_1 A C))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 A))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 A))) (=> (= (tptp.k7_setfam_1 A B) (tptp.k7_setfam_1 A C)) (= B C)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 A))) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 A))) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 _let_1)) (= (tptp.k7_setfam_1 A (tptp.k4_subset_1 _let_1 B C)) (tptp.k4_subset_1 _let_1 (tptp.k7_setfam_1 A B) (tptp.k7_setfam_1 A C)))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 A))) (=> (= B (tptp.k1_tarski A)) (= (tptp.k7_setfam_1 A B) (tptp.k1_tarski tptp.k1_xboole_0))))) (forall ((A $$unsorted)) (= (tptp.v1_setfam_1 A) (not (tptp.r2_hidden tptp.k1_xboole_0 A)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.r1_tarski (tptp.k3_tarski A) B) (tptp.r2_hidden C A)) (tptp.r1_tarski C B))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.r1_tarski C (tptp.k3_tarski (tptp.k2_xboole_0 A B))) (forall ((D $$unsorted)) (=> (tptp.r2_hidden D B) (tptp.r1_xboole_0 D C)))) (tptp.r1_tarski C (tptp.k3_tarski A)))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k8_setfam_1 A B))) (let ((_let_2 (= B tptp.k1_xboole_0))) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 A))) (and (=> (not _let_2) (= _let_1 (tptp.k6_setfam_1 A B))) (=> _let_2 (= _let_1 A))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 A))) (=> (tptp.r2_hidden B A) (= (tptp.r2_hidden B (tptp.k8_setfam_1 A C)) (forall ((D $$unsorted)) (=> (tptp.r2_hidden D C) (tptp.r2_hidden B D))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 A))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 A))) (=> (tptp.r1_tarski B C) (tptp.r1_tarski (tptp.k8_setfam_1 A C) (tptp.k8_setfam_1 A B))))))) (forall ((A $$unsorted)) (= (tptp.v2_setfam_1 A) (forall ((B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (not (tptp.r2_hidden B A)))))) (forall ((A $$unsorted) (B $$unsorted)) (tptp.r1_setfam_1 A A)) (forall ((A $$unsorted) (B $$unsorted)) (tptp.r2_setfam_1 B B)) true true (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.k2_setfam_1 A B) (tptp.k2_setfam_1 B A))) true (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.k3_setfam_1 A B) (tptp.k3_setfam_1 B A))) true (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 A))) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 _let_1)) (tptp.m1_subset_1 (tptp.k5_setfam_1 A B) _let_1)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 A))) (= (tptp.k5_setfam_1 A B) (tptp.k3_tarski B)))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 A))) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 _let_1)) (tptp.m1_subset_1 (tptp.k6_setfam_1 A B) _let_1)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 A))) (= (tptp.k6_setfam_1 A B) (tptp.k1_setfam_1 B)))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 A)))) (=> (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 (tptp.k7_setfam_1 A B) _let_1)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 A))) (= (tptp.k7_setfam_1 A (tptp.k7_setfam_1 A B)) B))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 A))) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 _let_1)) (tptp.m1_subset_1 (tptp.k8_setfam_1 A B) _let_1)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.r2_hidden A B) (tptp.m1_subset_1 A B))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 A B) (or (tptp.v1_xboole_0 B) (tptp.r2_hidden A B)))) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.m1_subset_1 A (tptp.k1_zfmisc_1 B)) (tptp.r1_tarski A B))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.r2_hidden A B) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 C))) (tptp.m1_subset_1 A C))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (not (and (tptp.r2_hidden A B) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 C)) (tptp.v1_xboole_0 C)))) (exists ((A $$unsorted)) (and (tptp.v1_xboole_0 A) (tptp.v1_relat_1 A))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_relat_1 B)) (tptp.v1_relat_1 (tptp.k3_xboole_0 A B)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_relat_1 B)) (tptp.v1_relat_1 (tptp.k2_xboole_0 A B)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_relat_1 B)) (tptp.v1_relat_1 (tptp.k4_xboole_0 A B)))) (forall ((A $$unsorted)) (=> (tptp.v1_xboole_0 A) (tptp.v1_relat_1 A))) (and _let_22 _let_19) (exists ((A $$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 $$unsorted)) (let ((_let_1 (tptp.k4_relat_1 A))) (=> (tptp.v1_xboole_0 A) (and (tptp.v1_xboole_0 _let_1) (tptp.v1_relat_1 _let_1))))) (and _let_22 _let_19 _let_21) (exists ((A $$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_29) 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_19 _let_21 _let_18 _let_20 _let_22 (tptp.v1_ordinal1 tptp.k1_xboole_0) (tptp.v2_ordinal1 tptp.k1_xboole_0) _let_31) (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_31 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))) _let_30 (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 $$unsorted)) (=> (tptp.r2_hidden D (tptp.k3_xboole_0 (tptp.k1_relat_1 A) (tptp.k1_relat_1 B))) (= (tptp.k1_funct_1 A D) (tptp.k1_funct_1 B D))))))))))) true true true true true true _let_29 true true true true true true true true true true true true true (forall ((A $$unsorted)) (let ((_let_1 (tptp.v1_funct_1 A))) (=> (and (tptp.v1_relat_1 A) _let_1) (and _let_1 (tptp.m2_relset_1 A (tptp.k1_relat_1 A) (tptp.k2_relat_1 A)))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.v1_funct_1 B))) (=> (and (tptp.v1_relat_1 B) _let_1) (=> (tptp.r1_tarski (tptp.k2_relat_1 B) A) (and _let_1 (tptp.m2_relset_1 B (tptp.k1_relat_1 B) A)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.m2_relset_1 D A B)) (not (and (tptp.r2_hidden C (tptp.k2_relat_1 D)) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E A) (not (and (tptp.r2_hidden E (tptp.k4_relset_1 A B D)) (= C (tptp.k1_funct_1 D E)))))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.m2_relset_1 D A B)) (=> (tptp.r2_hidden C (tptp.k4_relset_1 A B D)) (tptp.r2_hidden (tptp.k1_funct_1 D C) B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.v1_funct_1 D))) (=> (and _let_1 (tptp.m2_relset_1 D A B)) (=> (tptp.r1_tarski (tptp.k4_relset_1 A B D) C) (and _let_1 (tptp.m2_relset_1 D C B)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.v1_funct_1 D))) (=> (and _let_1 (tptp.m2_relset_1 D A B)) (=> (tptp.r1_tarski (tptp.k2_relat_1 D) C) (and _let_1 (tptp.m2_relset_1 D A C)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.v1_funct_1 D))) (=> (and _let_1 (tptp.m2_relset_1 D A B)) (=> (tptp.r1_tarski A C) (and _let_1 (tptp.m2_relset_1 D C B)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.v1_funct_1 D))) (=> (and _let_1 (tptp.m2_relset_1 D A B)) (=> (tptp.r1_tarski B C) (and _let_1 (tptp.m2_relset_1 D A C)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (let ((_let_1 (tptp.v1_funct_1 E))) (=> (and _let_1 (tptp.m2_relset_1 E A B)) (=> (and (tptp.r1_tarski A C) (tptp.r1_tarski B D)) (and _let_1 (tptp.m2_relset_1 E C D)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (forall ((D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.m2_relset_1 D A B)) (=> (tptp.r1_tarski C D) (and (tptp.v1_funct_1 C) (tptp.m2_relset_1 C A B))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.m2_relset_1 C A B)) (forall ((D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.m2_relset_1 D A B)) (=> (and (= (tptp.k4_relset_1 A B C) (tptp.k4_relset_1 A B D)) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E A) (=> (tptp.r2_hidden E (tptp.k4_relset_1 A B C)) (= (tptp.k1_funct_1 C E) (tptp.k1_funct_1 D E)))))) (= C D)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.m2_relset_1 D (tptp.k2_zfmisc_1 A B) C)) (forall ((E $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A B))) (=> (and (tptp.v1_funct_1 E) (tptp.m2_relset_1 E _let_1 C)) (=> (and (= (tptp.k4_relset_1 _let_1 C D) (tptp.k4_relset_1 _let_1 C E)) (forall ((F $$unsorted) (G $$unsorted)) (let ((_let_1 (tptp.k4_tarski F G))) (=> (tptp.r2_hidden _let_1 (tptp.k4_relset_1 (tptp.k2_zfmisc_1 A B) C D)) (= (tptp.k1_funct_1 D _let_1) (tptp.k1_funct_1 E _let_1)))))) (= D E))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.m2_relset_1 C A B) (= (tptp.k5_relat_1 (tptp.k6_relat_1 A) C) C))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.m2_relset_1 C A B) (= (tptp.k5_relat_1 C (tptp.k6_relat_1 B)) C))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.m2_relset_1 C A B)) (=> (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D A) (forall ((E $$unsorted)) (let ((_let_1 (tptp.k4_relset_1 A B C))) (=> (tptp.m1_subset_1 E A) (=> (and (tptp.r2_hidden D _let_1) (tptp.r2_hidden E _let_1) (= (tptp.k1_funct_1 C D) (tptp.k1_funct_1 C E))) (= D E))))))) (tptp.v2_funct_1 C)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k2_funct_1 C))) (=> (and (tptp.v1_funct_1 C) (tptp.m2_relset_1 C A B)) (=> (tptp.v2_funct_1 C) (and (tptp.v1_funct_1 _let_1) (tptp.m2_relset_1 _let_1 B A)))))) true true true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k8_relset_1 A B D C))) (=> (and (tptp.v1_funct_1 D) (tptp.m2_relset_1 D A B)) (and (tptp.v1_funct_1 _let_1) (tptp.m2_relset_1 _let_1 C B))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k8_relset_1 A B D C))) (=> (and (tptp.v1_funct_1 D) (tptp.m2_relset_1 D A B)) (and (tptp.v1_funct_1 _let_1) (tptp.m2_relset_1 _let_1 A B))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k9_relset_1 A B C D))) (=> (and (tptp.v1_funct_1 D) (tptp.m2_relset_1 D A B)) (and (tptp.v1_funct_1 _let_1) (tptp.m2_relset_1 _let_1 A C))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k9_relset_1 A B C D))) (=> (and (tptp.v1_funct_1 D) (tptp.m2_relset_1 D A B)) (and (tptp.v1_funct_1 _let_1) (tptp.m2_relset_1 _let_1 A B))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k7_relat_1 (tptp.k8_relat_1 A C) B))) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (and (tptp.v1_funct_1 _let_1) (tptp.m2_relset_1 _let_1 B A))))) true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.m2_relset_1 D A B)) (not (and (tptp.r2_hidden C (tptp.k9_relat_1 D A)) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E A) (not (and (tptp.r2_hidden E (tptp.k4_relset_1 A B D)) (= C (tptp.k1_funct_1 D E)))))))))) true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.m2_relset_1 C A B)) (= (tptp.k9_relat_1 C A) (tptp.k2_relat_1 C)))) true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.m2_relset_1 C A B)) (= (tptp.k10_relat_1 C B) (tptp.k4_relset_1 A B C)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_funct_1 B) (tptp.m2_relset_1 B tptp.k1_xboole_0 A)) (and (= (tptp.k4_relset_1 tptp.k1_xboole_0 A B) tptp.k1_xboole_0) (= (tptp.k2_relat_1 B) tptp.k1_xboole_0)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.v1_funct_1 C))) (=> (and (tptp.v1_relat_1 C) _let_1) (=> (= (tptp.k1_relat_1 C) tptp.k1_xboole_0) (and _let_1 (tptp.m2_relset_1 C A B)))))) (forall ((A $$unsorted) (B $$unsorted)) (and (tptp.v1_funct_1 tptp.k1_xboole_0) (tptp.m2_relset_1 tptp.k1_xboole_0 A B))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_funct_1 B) (tptp.m2_relset_1 B tptp.k1_xboole_0 A)) (= B tptp.k1_xboole_0))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.m2_relset_1 C tptp.k1_xboole_0 A)) (forall ((D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.m2_relset_1 D tptp.k1_xboole_0 B)) (= C D))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_funct_1 B) (tptp.m2_relset_1 B tptp.k1_xboole_0 A)) (tptp.v2_funct_1 B))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.m2_relset_1 C tptp.k1_xboole_0 A)) (= (tptp.k9_relat_1 C B) tptp.k1_xboole_0))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.m2_relset_1 C tptp.k1_xboole_0 A)) (= (tptp.k10_relat_1 C B) tptp.k1_xboole_0))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_funct_1 B) (tptp.m2_relset_1 B A tptp.k1_xboole_0)) (and (= (tptp.k4_relset_1 A tptp.k1_xboole_0 B) tptp.k1_xboole_0) (= (tptp.k2_relat_1 B) tptp.k1_xboole_0)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.v1_funct_1 C))) (=> (and (tptp.v1_relat_1 C) _let_1) (=> (= (tptp.k2_relat_1 C) tptp.k1_xboole_0) (and _let_1 (tptp.m2_relset_1 C A B)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_funct_1 B) (tptp.m2_relset_1 B A tptp.k1_xboole_0)) (= B tptp.k1_xboole_0))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.m2_relset_1 C A tptp.k1_xboole_0)) (forall ((D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.m2_relset_1 D B tptp.k1_xboole_0)) (= C D))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_funct_1 B) (tptp.m2_relset_1 B A tptp.k1_xboole_0)) (tptp.v2_funct_1 B))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.m2_relset_1 C A tptp.k1_xboole_0)) (= (tptp.k9_relat_1 C B) tptp.k1_xboole_0))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.m2_relset_1 C A tptp.k1_xboole_0)) (= (tptp.k10_relat_1 C B) tptp.k1_xboole_0))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.m2_relset_1 C (tptp.k1_tarski A) B)) (tptp.r1_tarski (tptp.k2_relat_1 C) (tptp.k1_tarski (tptp.k1_funct_1 C A))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.m2_relset_1 C (tptp.k1_tarski A) B)) (tptp.v2_funct_1 C))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.m2_relset_1 D (tptp.k1_tarski A) B)) (tptp.r1_tarski (tptp.k9_relat_1 D C) (tptp.k1_tarski (tptp.k1_funct_1 D A))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.v1_funct_1 D))) (=> (and (tptp.v1_relat_1 D) _let_1) (=> (and (= (tptp.k1_relat_1 D) (tptp.k1_tarski A)) (tptp.r2_hidden A B) (tptp.r2_hidden (tptp.k1_funct_1 D A) C)) (and _let_1 (tptp.m2_relset_1 D B C)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k1_tarski B))) (=> (and (tptp.v1_funct_1 D) (tptp.m2_relset_1 D A _let_1)) (=> (tptp.r2_hidden C (tptp.k4_relset_1 A _let_1 D)) (= (tptp.k1_funct_1 D C) B))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.m2_relset_1 C A (tptp.k1_tarski B))) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k1_tarski B))) (=> (and (tptp.v1_funct_1 D) (tptp.m2_relset_1 D A _let_1)) (=> (= (tptp.k4_relset_1 A _let_1 C) (tptp.k4_relset_1 A _let_1 D)) (= C D))))))) true true (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted) (C $$unsorted)) (= (tptp.k3_partfun1 A B C) (tptp.k7_relat_1 (tptp.k8_relat_1 C A) B))))) true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (tptp.r1_tarski (tptp.k3_partfun1 C A B) C))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k3_partfun1 C A B))) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (and (tptp.r1_tarski (tptp.k4_relset_1 A B _let_1) (tptp.k1_relat_1 C)) (tptp.r1_tarski (tptp.k2_relat_1 _let_1) (tptp.k2_relat_1 C)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.v1_relat_1 D) (tptp.v1_funct_1 D)) (= (tptp.r2_hidden A (tptp.k4_relset_1 B C (tptp.k3_partfun1 D B C))) (and (tptp.r2_hidden A (tptp.k1_relat_1 D)) (tptp.r2_hidden A B) (tptp.r2_hidden (tptp.k1_funct_1 D A) C))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k1_funct_1 D A))) (=> (and (tptp.v1_relat_1 D) (tptp.v1_funct_1 D)) (=> (and (tptp.r2_hidden A (tptp.k1_relat_1 D)) (tptp.r2_hidden A B) (tptp.r2_hidden _let_1 C)) (= (tptp.k1_funct_1 (tptp.k3_partfun1 D B C) A) _let_1))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k3_partfun1 D B C))) (=> (and (tptp.v1_relat_1 D) (tptp.v1_funct_1 D)) (=> (tptp.r2_hidden A (tptp.k4_relset_1 B C _let_1)) (= (tptp.k1_funct_1 _let_1 A) (tptp.k1_funct_1 D A)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (forall ((D $$unsorted)) (=> (and (tptp.v1_relat_1 D) (tptp.v1_funct_1 D)) (=> (tptp.r1_tarski C D) (tptp.r1_tarski (tptp.k3_partfun1 C A B) (tptp.k3_partfun1 D A B))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.v1_relat_1 D) (tptp.v1_funct_1 D)) (=> (tptp.r1_tarski A B) (tptp.r1_tarski (tptp.k3_partfun1 D A C) (tptp.k3_partfun1 D B C))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.v1_relat_1 D) (tptp.v1_funct_1 D)) (=> (tptp.r1_tarski A B) (tptp.r1_tarski (tptp.k3_partfun1 D C A) (tptp.k3_partfun1 D C B))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (=> (and (tptp.v1_relat_1 E) (tptp.v1_funct_1 E)) (=> (and (tptp.r1_tarski A B) (tptp.r1_tarski C D)) (tptp.r1_tarski (tptp.k3_partfun1 E A C) (tptp.k3_partfun1 E B D))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (=> (and (tptp.r1_tarski (tptp.k1_relat_1 C) A) (tptp.r1_tarski (tptp.k2_relat_1 C) B)) (= C (tptp.k3_partfun1 C A B))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (= A (tptp.k3_partfun1 A (tptp.k1_relat_1 A) (tptp.k2_relat_1 A))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.m2_relset_1 C A B)) (= (tptp.k3_partfun1 C A B) C))) true true true (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.k3_partfun1 tptp.k1_xboole_0 A B) tptp.k1_xboole_0)) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.v1_relat_1 D) (tptp.v1_funct_1 D)) (forall ((E $$unsorted)) (=> (and (tptp.v1_relat_1 E) (tptp.v1_funct_1 E)) (tptp.r1_tarski (tptp.k1_partfun1 C A A B (tptp.k3_partfun1 D C A) (tptp.k3_partfun1 E A B)) (tptp.k3_partfun1 (tptp.k5_relat_1 D E) C B)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.v1_relat_1 D) (tptp.v1_funct_1 D)) (forall ((E $$unsorted)) (=> (and (tptp.v1_relat_1 E) (tptp.v1_funct_1 E)) (=> (tptp.r1_tarski (tptp.k3_xboole_0 (tptp.k2_relat_1 D) (tptp.k1_relat_1 E)) A) (= (tptp.k1_partfun1 C A A B (tptp.k3_partfun1 D C A) (tptp.k3_partfun1 E A B)) (tptp.k3_partfun1 (tptp.k5_relat_1 D E) C B))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (=> (tptp.v2_funct_1 C) (tptp.v2_funct_1 (tptp.k3_partfun1 C A B))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (=> (tptp.v2_funct_1 C) (= (tptp.k2_funct_1 (tptp.k3_partfun1 C A B)) (tptp.k3_partfun1 (tptp.k2_funct_1 C) B A))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.v1_relat_1 D) (tptp.v1_funct_1 D)) (= (tptp.k2_partfun1 A B (tptp.k3_partfun1 D A B) C) (tptp.k3_partfun1 D (tptp.k3_xboole_0 A C) B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.v1_relat_1 D) (tptp.v1_funct_1 D)) (= (tptp.k9_relset_1 B C A (tptp.k3_partfun1 D B C)) (tptp.k3_partfun1 D B (tptp.k3_xboole_0 A C))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.m2_relset_1 C A B) (= (tptp.v1_partfun1 C A B) (= (tptp.k4_relset_1 A B C) A)))) true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.m2_relset_1 C A B)) (=> (and (tptp.v1_partfun1 C A B) (= B tptp.k1_xboole_0)) (= A tptp.k1_xboole_0)))) true true true true true true true true true true true true (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_funct_1 B) (tptp.m2_relset_1 B tptp.k1_xboole_0 A)) (tptp.v1_partfun1 B tptp.k1_xboole_0 A))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (=> (tptp.v1_partfun1 (tptp.k3_partfun1 C A B) A B) (tptp.r1_tarski A (tptp.k1_relat_1 C))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.v1_partfun1 (tptp.k3_partfun1 tptp.k1_xboole_0 A B) A B) (= A tptp.k1_xboole_0))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (=> (and (tptp.r1_tarski A (tptp.k1_relat_1 C)) (tptp.r1_tarski (tptp.k2_relat_1 C) B)) (tptp.v1_partfun1 (tptp.k3_partfun1 C A B) A B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (=> (tptp.v1_partfun1 (tptp.k3_partfun1 C A B) A B) (tptp.r1_tarski (tptp.k9_relat_1 C A) B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (=> (and (tptp.r1_tarski A (tptp.k1_relat_1 C)) (tptp.r1_tarski (tptp.k9_relat_1 C A) B)) (tptp.v1_partfun1 (tptp.k3_partfun1 C A B) A B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (= C (tptp.k4_partfun1 A B)) (forall ((D $$unsorted)) (= (tptp.r2_hidden D C) (exists ((E $$unsorted)) (and (tptp.v1_relat_1 E) (tptp.v1_funct_1 E) (= D E) (tptp.r1_tarski (tptp.k1_relat_1 E) A) (tptp.r1_tarski (tptp.k2_relat_1 E) B))))))) true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.m2_relset_1 C A B)) (tptp.r2_hidden C (tptp.k4_partfun1 A B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.r2_hidden C (tptp.k4_partfun1 A B)) (and (tptp.v1_funct_1 C) (tptp.m2_relset_1 C A B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k4_partfun1 A B)) (and (tptp.v1_funct_1 C) (tptp.m2_relset_1 C A B)))) (forall ((A $$unsorted)) (= (tptp.k4_partfun1 tptp.k1_xboole_0 A) (tptp.k1_tarski tptp.k1_xboole_0))) (forall ((A $$unsorted)) (= (tptp.k4_partfun1 A tptp.k1_xboole_0) (tptp.k1_tarski tptp.k1_xboole_0))) true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.r1_tarski A B) (tptp.r1_tarski (tptp.k4_partfun1 A C) (tptp.k4_partfun1 B C)))) (forall ((A $$unsorted) (B $$unsorted)) (tptp.r1_tarski (tptp.k4_partfun1 tptp.k1_xboole_0 A) (tptp.k4_partfun1 B A))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.r1_tarski A B) (tptp.r1_tarski (tptp.k4_partfun1 C A) (tptp.k4_partfun1 C B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.r1_tarski A B) (tptp.r1_tarski C D)) (tptp.r1_tarski (tptp.k4_partfun1 A C) (tptp.k4_partfun1 B D)))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (= (tptp.r1_partfun1 A B) (forall ((C $$unsorted)) (=> (tptp.r2_hidden C (tptp.k3_xboole_0 (tptp.k1_relat_1 A) (tptp.k1_relat_1 B))) (= (tptp.k1_funct_1 A C) (tptp.k1_funct_1 B C))))))))) true (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (= (tptp.r1_partfun1 A B) (exists ((C $$unsorted)) (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C) (= (tptp.k2_xboole_0 A B) C)))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (= (tptp.r1_partfun1 A B) (exists ((C $$unsorted)) (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C) (tptp.r1_tarski A C) (tptp.r1_tarski B C)))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (=> (tptp.r1_tarski (tptp.k1_relat_1 A) (tptp.k1_relat_1 B)) (= (tptp.r1_partfun1 A B) (forall ((C $$unsorted)) (=> (tptp.r2_hidden C (tptp.k1_relat_1 A)) (= (tptp.k1_funct_1 A C) (tptp.k1_funct_1 B C)))))))))) true true (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (=> (tptp.r1_tarski A B) (tptp.r1_partfun1 A B)))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (=> (and (= (tptp.k1_relat_1 A) (tptp.k1_relat_1 B)) (tptp.r1_partfun1 A B)) (= A B)))))) true (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (=> (tptp.r1_xboole_0 (tptp.k1_relat_1 A) (tptp.k1_relat_1 B)) (tptp.r1_partfun1 A B)))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (forall ((C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (=> (and (tptp.r1_tarski A C) (tptp.r1_tarski B C)) (tptp.r1_partfun1 A B)))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.m2_relset_1 C A B)) (forall ((D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.m2_relset_1 D A B)) (forall ((E $$unsorted)) (=> (and (tptp.v1_relat_1 E) (tptp.v1_funct_1 E)) (=> (and (tptp.r1_partfun1 C E) (tptp.r1_tarski D C)) (tptp.r1_partfun1 D E)))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (tptp.r1_partfun1 tptp.k1_xboole_0 A))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (tptp.r1_partfun1 (tptp.k3_partfun1 tptp.k1_xboole_0 A B) C))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.m2_relset_1 C A (tptp.k1_tarski B))) (forall ((D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.m2_relset_1 D A (tptp.k1_tarski B))) (tptp.r1_partfun1 C D))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (tptp.r1_partfun1 (tptp.k7_relat_1 B A) B))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (tptp.r1_partfun1 (tptp.k8_relat_1 A B) B))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (tptp.r1_partfun1 (tptp.k7_relat_1 (tptp.k8_relat_1 A C) B) C))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (tptp.r1_partfun1 (tptp.k3_partfun1 C A B) C))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.m2_relset_1 C A B)) (forall ((D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.m2_relset_1 D A B)) (=> (and (tptp.v1_partfun1 C A B) (tptp.v1_partfun1 D A B) (tptp.r1_partfun1 C D)) (= C D)))))) true true true true true true true true true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.m2_relset_1 C A B)) (forall ((D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.m2_relset_1 D A B)) (forall ((E $$unsorted)) (=> (and (tptp.v1_funct_1 E) (tptp.m2_relset_1 E A B)) (=> (and (tptp.r1_partfun1 C E) (tptp.r1_partfun1 D E) (tptp.v1_partfun1 E A B)) (tptp.r1_partfun1 C D)))))))) true true true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.m2_relset_1 C A B)) (forall ((D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.m2_relset_1 D A B)) (not (and (=> (= B tptp.k1_xboole_0) (= A tptp.k1_xboole_0)) (tptp.r1_partfun1 C D) (forall ((E $$unsorted)) (=> (and (tptp.v1_funct_1 E) (tptp.m2_relset_1 E A B)) (not (and (tptp.v1_partfun1 E A B) (tptp.r1_partfun1 C E) (tptp.r1_partfun1 D E))))))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.m2_relset_1 C A B)) (forall ((D $$unsorted)) (= (= D (tptp.k5_partfun1 A B C)) (forall ((E $$unsorted)) (= (tptp.r2_hidden E D) (exists ((F $$unsorted)) (and (tptp.v1_funct_1 F) (tptp.m2_relset_1 F A B) (= F E) (tptp.v1_partfun1 F A B) (tptp.r1_partfun1 C F))))))))) true true true true true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.m2_relset_1 C A B)) (forall ((D $$unsorted)) (=> (tptp.r2_hidden D (tptp.k5_partfun1 A B C)) (and (tptp.v1_funct_1 D) (tptp.m2_relset_1 D A B)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.m2_relset_1 C A B)) (forall ((D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.m2_relset_1 D A B)) (=> (tptp.r2_hidden D (tptp.k5_partfun1 A B C)) (tptp.v1_partfun1 D A B)))))) true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.m2_relset_1 C A B)) (forall ((D $$unsorted)) (=> (and (tptp.v1_relat_1 D) (tptp.v1_funct_1 D)) (=> (tptp.r2_hidden D (tptp.k5_partfun1 A B C)) (tptp.r1_partfun1 C D)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_funct_1 B) (tptp.m2_relset_1 B A tptp.k1_xboole_0)) (=> (not (= A tptp.k1_xboole_0)) (= (tptp.k5_partfun1 A tptp.k1_xboole_0 B) tptp.k1_xboole_0)))) true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.m2_relset_1 C A B)) (= (tptp.v1_partfun1 C A B) (= (tptp.k5_partfun1 A B C) (tptp.k1_tarski C))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_funct_1 B) (tptp.m2_relset_1 B tptp.k1_xboole_0 A)) (= (tptp.k5_partfun1 tptp.k1_xboole_0 A B) (tptp.k1_tarski B)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_funct_1 B) (tptp.m2_relset_1 B tptp.k1_xboole_0 A)) (= (tptp.k5_partfun1 tptp.k1_xboole_0 A B) (tptp.k1_tarski tptp.k1_xboole_0)))) true true true true true true true true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.m2_relset_1 C A B)) (forall ((D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.m2_relset_1 D A B)) (=> (not (tptp.r1_xboole_0 (tptp.k5_partfun1 A B C) (tptp.k5_partfun1 A B D))) (tptp.r1_partfun1 C D)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.m2_relset_1 C A B)) (forall ((D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.m2_relset_1 D A B)) (not (and (=> (= B tptp.k1_xboole_0) (= A tptp.k1_xboole_0)) (tptp.r1_partfun1 C D) (tptp.r1_xboole_0 (tptp.k5_partfun1 A B C) (tptp.k5_partfun1 A B D)))))))) (exists ((A $$unsorted)) (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (= (tptp.k1_relat_1 A) tptp.f1_s1_partfun1) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k1_funct_1 A B))) (let ((_let_2 (tptp.p1_s1_partfun1 B))) (=> (tptp.r2_hidden B tptp.f1_s1_partfun1) (and (=> _let_2 (= _let_1 (tptp.f2_s1_partfun1 B))) (=> (not _let_2) (= _let_1 (tptp.f3_s1_partfun1 B)))))))))) (=> (and (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.r2_hidden A tptp.f1_s2_partfun1) (tptp.p1_s2_partfun1 A B)) (tptp.r2_hidden B tptp.f2_s2_partfun1))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.r2_hidden A tptp.f1_s2_partfun1) (tptp.p1_s2_partfun1 A B) (tptp.p1_s2_partfun1 A C)) (= B C)))) (exists ((A $$unsorted)) (and (tptp.v1_funct_1 A) (tptp.m2_relset_1 A tptp.f1_s2_partfun1 tptp.f2_s2_partfun1) (forall ((B $$unsorted)) (= (tptp.r2_hidden B (tptp.k4_relset_1 tptp.f1_s2_partfun1 tptp.f2_s2_partfun1 A)) (and (tptp.r2_hidden B tptp.f1_s2_partfun1) (exists ((C $$unsorted)) (tptp.p1_s2_partfun1 B C))))) (forall ((B $$unsorted)) (=> (tptp.r2_hidden B (tptp.k4_relset_1 tptp.f1_s2_partfun1 tptp.f2_s2_partfun1 A)) (tptp.p1_s2_partfun1 B (tptp.k1_funct_1 A B))))))) (=> (forall ((A $$unsorted)) (=> (tptp.p1_s3_partfun1 A) (tptp.r2_hidden (tptp.f3_s3_partfun1 A) tptp.f2_s3_partfun1))) (exists ((A $$unsorted)) (and (tptp.v1_funct_1 A) (tptp.m2_relset_1 A tptp.f1_s3_partfun1 tptp.f2_s3_partfun1) (forall ((B $$unsorted)) (= (tptp.r2_hidden B (tptp.k4_relset_1 tptp.f1_s3_partfun1 tptp.f2_s3_partfun1 A)) (and (tptp.r2_hidden B tptp.f1_s3_partfun1) (tptp.p1_s3_partfun1 B)))) (forall ((B $$unsorted)) (=> (tptp.r2_hidden B (tptp.k4_relset_1 tptp.f1_s3_partfun1 tptp.f2_s3_partfun1 A)) (= (tptp.k1_funct_1 A B) (tptp.f3_s3_partfun1 B))))))) (=> (and (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.r2_hidden A tptp.f1_s4_partfun1) (tptp.r2_hidden B tptp.f2_s4_partfun1) (tptp.p1_s4_partfun1 A B C)) (tptp.r2_hidden C tptp.f3_s4_partfun1))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.r2_hidden A tptp.f1_s4_partfun1) (tptp.r2_hidden B tptp.f2_s4_partfun1) (tptp.p1_s4_partfun1 A B C) (tptp.p1_s4_partfun1 A B D)) (= C D)))) (exists ((A $$unsorted)) (and (tptp.v1_funct_1 A) (tptp.m2_relset_1 A (tptp.k2_zfmisc_1 tptp.f1_s4_partfun1 tptp.f2_s4_partfun1) tptp.f3_s4_partfun1) (forall ((B $$unsorted) (C $$unsorted)) (= (tptp.r2_hidden (tptp.k4_tarski B C) (tptp.k4_relset_1 (tptp.k2_zfmisc_1 tptp.f1_s4_partfun1 tptp.f2_s4_partfun1) tptp.f3_s4_partfun1 A)) (and (tptp.r2_hidden B tptp.f1_s4_partfun1) (tptp.r2_hidden C tptp.f2_s4_partfun1) (exists ((D $$unsorted)) (tptp.p1_s4_partfun1 B C D))))) (forall ((B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k4_tarski B C))) (=> (tptp.r2_hidden _let_1 (tptp.k4_relset_1 (tptp.k2_zfmisc_1 tptp.f1_s4_partfun1 tptp.f2_s4_partfun1) tptp.f3_s4_partfun1 A)) (tptp.p1_s4_partfun1 B C (tptp.k1_funct_1 A _let_1)))))))) (=> (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.p1_s5_partfun1 A B) (tptp.r2_hidden (tptp.f4_s5_partfun1 A B) tptp.f3_s5_partfun1))) (exists ((A $$unsorted)) (and (tptp.v1_funct_1 A) (tptp.m2_relset_1 A (tptp.k2_zfmisc_1 tptp.f1_s5_partfun1 tptp.f2_s5_partfun1) tptp.f3_s5_partfun1) (forall ((B $$unsorted) (C $$unsorted)) (= (tptp.r2_hidden (tptp.k4_tarski B C) (tptp.k4_relset_1 (tptp.k2_zfmisc_1 tptp.f1_s5_partfun1 tptp.f2_s5_partfun1) tptp.f3_s5_partfun1 A)) (and (tptp.r2_hidden B tptp.f1_s5_partfun1) (tptp.r2_hidden C tptp.f2_s5_partfun1) (tptp.p1_s5_partfun1 B C)))) (forall ((B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k4_tarski B C))) (=> (tptp.r2_hidden _let_1 (tptp.k4_relset_1 (tptp.k2_zfmisc_1 tptp.f1_s5_partfun1 tptp.f2_s5_partfun1) tptp.f3_s5_partfun1 A)) (= (tptp.k1_funct_1 A _let_1) (tptp.f4_s5_partfun1 B C)))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (=> (tptp.r1_partfun1 A B) (tptp.r1_partfun1 B A)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (tptp.r1_partfun1 A A))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted)) (let ((_let_1 (tptp.k1_partfun1 A B C D E F))) (=> (and (tptp.v1_funct_1 E) (tptp.m1_relset_1 E A B) (tptp.v1_funct_1 F) (tptp.m1_relset_1 F C D)) (and (tptp.v1_funct_1 _let_1) (tptp.m2_relset_1 _let_1 A D))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted)) (=> (and (tptp.v1_funct_1 E) (tptp.m1_relset_1 E A B) (tptp.v1_funct_1 F) (tptp.m1_relset_1 F C D)) (= (tptp.k1_partfun1 A B C D E F) (tptp.k5_relat_1 E F)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k2_partfun1 A B C D))) (=> (and (tptp.v1_funct_1 C) (tptp.m1_relset_1 C A B)) (and (tptp.v1_funct_1 _let_1) (tptp.m2_relset_1 _let_1 A B))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.m1_relset_1 C A B)) (= (tptp.k2_partfun1 A B C D) (tptp.k7_relat_1 C D)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k3_partfun1 A B C))) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (and (tptp.v1_funct_1 _let_1) (tptp.m2_relset_1 _let_1 B C))))) true true (forall ((A $$unsorted)) (let ((_let_1 (tptp.k6_partfun1 A))) (and (tptp.v1_partfun1 _let_1 A A) (tptp.m2_relset_1 _let_1 A A)))) (forall ((A $$unsorted)) (= (tptp.k6_partfun1 A) (tptp.k6_relat_1 A))) (forall ((A $$unsorted)) (not (and (not (= A tptp.k1_xboole_0)) (forall ((B $$unsorted)) (not (and (tptp.r2_hidden B A) (tptp.r1_xboole_0 B A))))))) (forall ((A $$unsorted)) (not (and (not (= A tptp.k1_xboole_0)) (forall ((B $$unsorted)) (not (and (tptp.r2_hidden B A) (forall ((C $$unsorted)) (=> (tptp.r2_hidden C B) (tptp.r1_xboole_0 C A))))))))) (forall ((A $$unsorted)) (not (and (not (= A tptp.k1_xboole_0)) (forall ((B $$unsorted)) (not (and (tptp.r2_hidden B A) (forall ((C $$unsorted) (D $$unsorted)) (=> (and (tptp.r2_hidden C D) (tptp.r2_hidden D B)) (tptp.r1_xboole_0 C A))))))))) (forall ((A $$unsorted)) (not (and (not (= A tptp.k1_xboole_0)) (forall ((B $$unsorted)) (not (and (tptp.r2_hidden B A) (forall ((C $$unsorted) (D $$unsorted) (E $$unsorted)) (=> (and (tptp.r2_hidden C D) (tptp.r2_hidden D E) (tptp.r2_hidden E B)) (tptp.r1_xboole_0 C A))))))))) (forall ((A $$unsorted)) (not (and (not (= A tptp.k1_xboole_0)) (forall ((B $$unsorted)) (not (and (tptp.r2_hidden B A) (forall ((C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted)) (=> (and (tptp.r2_hidden C D) (tptp.r2_hidden D E) (tptp.r2_hidden E F) (tptp.r2_hidden F B)) (tptp.r1_xboole_0 C A))))))))) (forall ((A $$unsorted)) (not (and (not (= A tptp.k1_xboole_0)) (forall ((B $$unsorted)) (not (and (tptp.r2_hidden B A) (forall ((C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted) (G $$unsorted)) (=> (and (tptp.r2_hidden C D) (tptp.r2_hidden D E) (tptp.r2_hidden E F) (tptp.r2_hidden F G) (tptp.r2_hidden G B)) (tptp.r1_xboole_0 C A))))))))) (forall ((A $$unsorted)) (=> (exists ((B $$unsorted) (C $$unsorted)) (= A (tptp.k4_tarski B C))) (forall ((B $$unsorted)) (= (= B (tptp.k1_mcart_1 A)) (forall ((C $$unsorted) (D $$unsorted)) (=> (= A (tptp.k4_tarski C D)) (= B C))))))) (forall ((A $$unsorted)) (=> (exists ((B $$unsorted) (C $$unsorted)) (= A (tptp.k4_tarski B C))) (forall ((B $$unsorted)) (= (= B (tptp.k2_mcart_1 A)) (forall ((C $$unsorted) (D $$unsorted)) (=> (= A (tptp.k4_tarski C D)) (= B D))))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k4_tarski A B))) (and (= (tptp.k1_mcart_1 _let_1) A) (= (tptp.k2_mcart_1 _let_1) B)))) (forall ((A $$unsorted)) (=> (exists ((B $$unsorted) (C $$unsorted)) (= A (tptp.k4_tarski B C))) (= (tptp.k4_tarski (tptp.k1_mcart_1 A) (tptp.k2_mcart_1 A)) A))) (forall ((A $$unsorted)) (not (and (not (= A tptp.k1_xboole_0)) (forall ((B $$unsorted)) (not (and (tptp.r2_hidden B A) (forall ((C $$unsorted) (D $$unsorted)) (not (and (or (tptp.r2_hidden C A) (tptp.r2_hidden D A)) (= B (tptp.k4_tarski C D))))))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.r2_hidden A (tptp.k2_zfmisc_1 B C)) (and (tptp.r2_hidden (tptp.k1_mcart_1 A) B) (tptp.r2_hidden (tptp.k2_mcart_1 A) C)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.r2_hidden (tptp.k1_mcart_1 A) B) (tptp.r2_hidden (tptp.k2_mcart_1 A) C)) (or (forall ((D $$unsorted) (E $$unsorted)) (not (= A (tptp.k4_tarski D E)))) (tptp.r2_hidden A (tptp.k2_zfmisc_1 B C))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.r2_hidden A (tptp.k2_zfmisc_1 (tptp.k1_tarski B) C)) (and (= (tptp.k1_mcart_1 A) B) (tptp.r2_hidden (tptp.k2_mcart_1 A) C)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.r2_hidden A (tptp.k2_zfmisc_1 B (tptp.k1_tarski C))) (and (tptp.r2_hidden (tptp.k1_mcart_1 A) B) (= (tptp.k2_mcart_1 A) C)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.r2_hidden A (tptp.k2_zfmisc_1 (tptp.k1_tarski B) (tptp.k1_tarski C))) (and (= (tptp.k1_mcart_1 A) B) (= (tptp.k2_mcart_1 A) C)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k1_mcart_1 A))) (=> (tptp.r2_hidden A (tptp.k2_zfmisc_1 (tptp.k2_tarski B C) D)) (and (or (= _let_1 B) (= _let_1 C)) (tptp.r2_hidden (tptp.k2_mcart_1 A) D))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k2_mcart_1 A))) (=> (tptp.r2_hidden A (tptp.k2_zfmisc_1 B (tptp.k2_tarski C D))) (and (tptp.r2_hidden (tptp.k1_mcart_1 A) B) (or (= _let_1 C) (= _let_1 D)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k1_mcart_1 A))) (=> (tptp.r2_hidden A (tptp.k2_zfmisc_1 (tptp.k2_tarski B C) (tptp.k1_tarski D))) (and (or (= _let_1 B) (= _let_1 C)) (= (tptp.k2_mcart_1 A) D))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k2_mcart_1 A))) (=> (tptp.r2_hidden A (tptp.k2_zfmisc_1 (tptp.k1_tarski B) (tptp.k2_tarski C D))) (and (= (tptp.k1_mcart_1 A) B) (or (= _let_1 C) (= _let_1 D)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (let ((_let_1 (tptp.k2_mcart_1 A))) (let ((_let_2 (tptp.k1_mcart_1 A))) (=> (tptp.r2_hidden A (tptp.k2_zfmisc_1 (tptp.k2_tarski B C) (tptp.k2_tarski D E))) (and (or (= _let_2 B) (= _let_2 C)) (or (= _let_1 D) (= _let_1 E))))))) (forall ((A $$unsorted)) (=> (exists ((B $$unsorted) (C $$unsorted)) (= A (tptp.k4_tarski B C))) (and (not (= A (tptp.k1_mcart_1 A))) (not (= A (tptp.k2_mcart_1 A)))))) true true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.r2_hidden A (tptp.k2_zfmisc_1 B C)) (= A (tptp.k4_tarski (tptp.k1_mcart_1 A) (tptp.k2_mcart_1 A))))) (forall ((A $$unsorted) (B $$unsorted)) (not (and (not (= A tptp.k1_xboole_0)) (not (= B tptp.k1_xboole_0)) (not (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k2_zfmisc_1 A B)) (= C (tptp.k4_tarski (tptp.k1_mcart_1 C) (tptp.k2_mcart_1 C))))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (= (tptp.k2_zfmisc_1 (tptp.k2_tarski A B) (tptp.k2_tarski C D)) (tptp.k2_enumset1 (tptp.k4_tarski A C) (tptp.k4_tarski A D) (tptp.k4_tarski B C) (tptp.k4_tarski B D)))) (forall ((A $$unsorted) (B $$unsorted)) (not (and (not (= A tptp.k1_xboole_0)) (not (= B tptp.k1_xboole_0)) (not (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k2_zfmisc_1 A B)) (and (not (= C (tptp.k1_mcart_1 C))) (not (= C (tptp.k2_mcart_1 C)))))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.k3_mcart_1 A B C) (tptp.k4_tarski (tptp.k4_tarski A B) C))) true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted)) (=> (= (tptp.k3_mcart_1 A B C) (tptp.k3_mcart_1 D E F)) (and (= A D) (= B E) (= C F)))) (forall ((A $$unsorted)) (not (and (not (= A tptp.k1_xboole_0)) (forall ((B $$unsorted)) (not (and (tptp.r2_hidden B A) (forall ((C $$unsorted) (D $$unsorted) (E $$unsorted)) (not (and (or (tptp.r2_hidden C A) (tptp.r2_hidden D A)) (= B (tptp.k3_mcart_1 C D E))))))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (= (tptp.k4_mcart_1 A B C D) (tptp.k4_tarski (tptp.k3_mcart_1 A B C) D))) true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (= (tptp.k4_mcart_1 A B C D) (tptp.k4_tarski (tptp.k4_tarski (tptp.k4_tarski A B) C) D))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (= (tptp.k4_mcart_1 A B C D) (tptp.k3_mcart_1 (tptp.k4_tarski A B) C D))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted) (G $$unsorted) (H $$unsorted)) (=> (= (tptp.k4_mcart_1 A B C D) (tptp.k4_mcart_1 E F G H)) (and (= A E) (= B F) (= C G) (= D H)))) (forall ((A $$unsorted)) (not (and (not (= A tptp.k1_xboole_0)) (forall ((B $$unsorted)) (not (and (tptp.r2_hidden B A) (forall ((C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted)) (not (and (or (tptp.r2_hidden C A) (tptp.r2_hidden D A)) (= B (tptp.k4_mcart_1 C D E F))))))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (and (not (= A tptp.k1_xboole_0)) (not (= B tptp.k1_xboole_0)) (not (= C tptp.k1_xboole_0))) (not (= (tptp.k3_zfmisc_1 A B C) tptp.k1_xboole_0)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted)) (=> (= (tptp.k3_zfmisc_1 A B C) (tptp.k3_zfmisc_1 D E F)) (or (= A tptp.k1_xboole_0) (= B tptp.k1_xboole_0) (= C tptp.k1_xboole_0) (and (= A D) (= B E) (= C F))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted)) (let ((_let_1 (tptp.k3_zfmisc_1 A B C))) (=> (= _let_1 (tptp.k3_zfmisc_1 D E F)) (or (= _let_1 tptp.k1_xboole_0) (and (= A D) (= B E) (= C F)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (= (tptp.k3_zfmisc_1 A A A) (tptp.k3_zfmisc_1 B B B)) (= A B))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.k3_zfmisc_1 (tptp.k1_tarski A) (tptp.k1_tarski B) (tptp.k1_tarski C)) (tptp.k1_tarski (tptp.k3_mcart_1 A B C)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (= (tptp.k3_zfmisc_1 (tptp.k2_tarski A B) (tptp.k1_tarski C) (tptp.k1_tarski D)) (tptp.k2_tarski (tptp.k3_mcart_1 A C D) (tptp.k3_mcart_1 B C D)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (= (tptp.k3_zfmisc_1 (tptp.k1_tarski A) (tptp.k2_tarski B C) (tptp.k1_tarski D)) (tptp.k2_tarski (tptp.k3_mcart_1 A B D) (tptp.k3_mcart_1 A C D)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (= (tptp.k3_zfmisc_1 (tptp.k1_tarski A) (tptp.k1_tarski B) (tptp.k2_tarski C D)) (tptp.k2_tarski (tptp.k3_mcart_1 A B C) (tptp.k3_mcart_1 A B D)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (= (tptp.k3_zfmisc_1 (tptp.k2_tarski A B) (tptp.k2_tarski C D) (tptp.k1_tarski E)) (tptp.k2_enumset1 (tptp.k3_mcart_1 A C E) (tptp.k3_mcart_1 B C E) (tptp.k3_mcart_1 A D E) (tptp.k3_mcart_1 B D E)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (= (tptp.k3_zfmisc_1 (tptp.k2_tarski A B) (tptp.k1_tarski C) (tptp.k2_tarski D E)) (tptp.k2_enumset1 (tptp.k3_mcart_1 A C D) (tptp.k3_mcart_1 B C D) (tptp.k3_mcart_1 A C E) (tptp.k3_mcart_1 B C E)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (= (tptp.k3_zfmisc_1 (tptp.k1_tarski A) (tptp.k2_tarski B C) (tptp.k2_tarski D E)) (tptp.k2_enumset1 (tptp.k3_mcart_1 A B D) (tptp.k3_mcart_1 A C D) (tptp.k3_mcart_1 A B E) (tptp.k3_mcart_1 A C E)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted)) (= (tptp.k3_zfmisc_1 (tptp.k2_tarski A B) (tptp.k2_tarski C D) (tptp.k2_tarski E F)) (tptp.k6_enumset1 (tptp.k3_mcart_1 A C E) (tptp.k3_mcart_1 A D E) (tptp.k3_mcart_1 A C F) (tptp.k3_mcart_1 A D F) (tptp.k3_mcart_1 B C E) (tptp.k3_mcart_1 B D E) (tptp.k3_mcart_1 B C F) (tptp.k3_mcart_1 B D F)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (not (and (not (= A tptp.k1_xboole_0)) (not (= B tptp.k1_xboole_0)) (not (= C tptp.k1_xboole_0)) (not (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k3_zfmisc_1 A B C)) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E A) (= (= E (tptp.k5_mcart_1 A B C D)) (forall ((F $$unsorted) (G $$unsorted) (H $$unsorted)) (=> (= D (tptp.k3_mcart_1 F G H)) (= E F)))))))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (not (and (not (= A tptp.k1_xboole_0)) (not (= B tptp.k1_xboole_0)) (not (= C tptp.k1_xboole_0)) (not (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k3_zfmisc_1 A B C)) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E B) (= (= E (tptp.k6_mcart_1 A B C D)) (forall ((F $$unsorted) (G $$unsorted) (H $$unsorted)) (=> (= D (tptp.k3_mcart_1 F G H)) (= E G)))))))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (not (and (not (= A tptp.k1_xboole_0)) (not (= B tptp.k1_xboole_0)) (not (= C tptp.k1_xboole_0)) (not (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k3_zfmisc_1 A B C)) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E C) (= (= E (tptp.k7_mcart_1 A B C D)) (forall ((F $$unsorted) (G $$unsorted) (H $$unsorted)) (=> (= D (tptp.k3_mcart_1 F G H)) (= E H)))))))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (not (and (not (= A tptp.k1_xboole_0)) (not (= B tptp.k1_xboole_0)) (not (= C tptp.k1_xboole_0)) (exists ((D $$unsorted)) (and (tptp.m1_subset_1 D (tptp.k3_zfmisc_1 A B C)) (exists ((E $$unsorted) (F $$unsorted) (G $$unsorted)) (and (= D (tptp.k3_mcart_1 E F G)) (not (and (= (tptp.k5_mcart_1 A B C D) E) (= (tptp.k6_mcart_1 A B C D) F) (= (tptp.k7_mcart_1 A B C D) G)))))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (not (and (not (= A tptp.k1_xboole_0)) (not (= B tptp.k1_xboole_0)) (not (= C tptp.k1_xboole_0)) (not (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k3_zfmisc_1 A B C)) (= D (tptp.k3_mcart_1 (tptp.k5_mcart_1 A B C D) (tptp.k6_mcart_1 A B C D) (tptp.k7_mcart_1 A B C D))))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (not (and (not (tptp.r1_tarski A (tptp.k3_zfmisc_1 A B C))) (not (tptp.r1_tarski A (tptp.k3_zfmisc_1 B C A))) (not (tptp.r1_tarski A (tptp.k3_zfmisc_1 C A B))))) (= A tptp.k1_xboole_0))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (not (and (not (= A tptp.k1_xboole_0)) (not (= B tptp.k1_xboole_0)) (not (= C tptp.k1_xboole_0)) (not (forall ((D $$unsorted)) (let ((_let_1 (tptp.k1_mcart_1 D))) (=> (tptp.m1_subset_1 D (tptp.k3_zfmisc_1 A B C)) (and (= (tptp.k5_mcart_1 A B C D) (tptp.k1_mcart_1 _let_1)) (= (tptp.k6_mcart_1 A B C D) (tptp.k2_mcart_1 _let_1)) (= (tptp.k7_mcart_1 A B C D) (tptp.k2_mcart_1 D)))))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (not (and (not (= A tptp.k1_xboole_0)) (not (= B tptp.k1_xboole_0)) (not (= C tptp.k1_xboole_0)) (not (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k3_zfmisc_1 A B C)) (and (not (= D (tptp.k5_mcart_1 A B C D))) (not (= D (tptp.k6_mcart_1 A B C D))) (not (= D (tptp.k7_mcart_1 A B C D)))))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted)) (=> (not (tptp.r1_xboole_0 (tptp.k3_zfmisc_1 A B C) (tptp.k3_zfmisc_1 D E F))) (and (not (tptp.r1_xboole_0 A D)) (not (tptp.r1_xboole_0 B E)) (not (tptp.r1_xboole_0 C F))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (= (tptp.k4_zfmisc_1 A B C D) (tptp.k2_zfmisc_1 (tptp.k2_zfmisc_1 (tptp.k2_zfmisc_1 A B) C) D))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (= (tptp.k3_zfmisc_1 (tptp.k2_zfmisc_1 A B) C D) (tptp.k4_zfmisc_1 A B C D))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (= (and (not (= A tptp.k1_xboole_0)) (not (= B tptp.k1_xboole_0)) (not (= C tptp.k1_xboole_0)) (not (= D tptp.k1_xboole_0))) (not (= (tptp.k4_zfmisc_1 A B C D) tptp.k1_xboole_0)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted) (G $$unsorted) (H $$unsorted)) (=> (= (tptp.k4_zfmisc_1 A B C D) (tptp.k4_zfmisc_1 E F G H)) (or (= A tptp.k1_xboole_0) (= B tptp.k1_xboole_0) (= C tptp.k1_xboole_0) (= D tptp.k1_xboole_0) (and (= A E) (= B F) (= C G) (= D H))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted) (G $$unsorted) (H $$unsorted)) (let ((_let_1 (tptp.k4_zfmisc_1 A B C D))) (=> (= _let_1 (tptp.k4_zfmisc_1 E F G H)) (or (= _let_1 tptp.k1_xboole_0) (and (= A E) (= B F) (= C G) (= D H)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (= (tptp.k4_zfmisc_1 A A A A) (tptp.k4_zfmisc_1 B B B B)) (= A B))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (not (and (not (= A tptp.k1_xboole_0)) (not (= B tptp.k1_xboole_0)) (not (= C tptp.k1_xboole_0)) (not (= D tptp.k1_xboole_0)) (not (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.k4_zfmisc_1 A B C D)) (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F A) (= (= F (tptp.k8_mcart_1 A B C D E)) (forall ((G $$unsorted) (H $$unsorted) (I $$unsorted) (J $$unsorted)) (=> (= E (tptp.k4_mcart_1 G H I J)) (= F G)))))))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (not (and (not (= A tptp.k1_xboole_0)) (not (= B tptp.k1_xboole_0)) (not (= C tptp.k1_xboole_0)) (not (= D tptp.k1_xboole_0)) (not (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.k4_zfmisc_1 A B C D)) (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F B) (= (= F (tptp.k9_mcart_1 A B C D E)) (forall ((G $$unsorted) (H $$unsorted) (I $$unsorted) (J $$unsorted)) (=> (= E (tptp.k4_mcart_1 G H I J)) (= F H)))))))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (not (and (not (= A tptp.k1_xboole_0)) (not (= B tptp.k1_xboole_0)) (not (= C tptp.k1_xboole_0)) (not (= D tptp.k1_xboole_0)) (not (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.k4_zfmisc_1 A B C D)) (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F C) (= (= F (tptp.k10_mcart_1 A B C D E)) (forall ((G $$unsorted) (H $$unsorted) (I $$unsorted) (J $$unsorted)) (=> (= E (tptp.k4_mcart_1 G H I J)) (= F I)))))))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (not (and (not (= A tptp.k1_xboole_0)) (not (= B tptp.k1_xboole_0)) (not (= C tptp.k1_xboole_0)) (not (= D tptp.k1_xboole_0)) (not (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.k4_zfmisc_1 A B C D)) (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F D) (= (= F (tptp.k11_mcart_1 A B C D E)) (forall ((G $$unsorted) (H $$unsorted) (I $$unsorted) (J $$unsorted)) (=> (= E (tptp.k4_mcart_1 G H I J)) (= F J)))))))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (not (and (not (= A tptp.k1_xboole_0)) (not (= B tptp.k1_xboole_0)) (not (= C tptp.k1_xboole_0)) (not (= D tptp.k1_xboole_0)) (exists ((E $$unsorted)) (and (tptp.m1_subset_1 E (tptp.k4_zfmisc_1 A B C D)) (exists ((F $$unsorted) (G $$unsorted) (H $$unsorted) (I $$unsorted)) (and (= E (tptp.k4_mcart_1 F G H I)) (not (and (= (tptp.k8_mcart_1 A B C D E) F) (= (tptp.k9_mcart_1 A B C D E) G) (= (tptp.k10_mcart_1 A B C D E) H) (= (tptp.k11_mcart_1 A B C D E) I)))))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (not (and (not (= A tptp.k1_xboole_0)) (not (= B tptp.k1_xboole_0)) (not (= C tptp.k1_xboole_0)) (not (= D tptp.k1_xboole_0)) (not (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.k4_zfmisc_1 A B C D)) (= E (tptp.k4_mcart_1 (tptp.k8_mcart_1 A B C D E) (tptp.k9_mcart_1 A B C D E) (tptp.k10_mcart_1 A B C D E) (tptp.k11_mcart_1 A B C D E))))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (not (and (not (= A tptp.k1_xboole_0)) (not (= B tptp.k1_xboole_0)) (not (= C tptp.k1_xboole_0)) (not (= D tptp.k1_xboole_0)) (not (forall ((E $$unsorted)) (let ((_let_1 (tptp.k1_mcart_1 E))) (let ((_let_2 (tptp.k1_mcart_1 _let_1))) (=> (tptp.m1_subset_1 E (tptp.k4_zfmisc_1 A B C D)) (and (= (tptp.k8_mcart_1 A B C D E) (tptp.k1_mcart_1 _let_2)) (= (tptp.k9_mcart_1 A B C D E) (tptp.k2_mcart_1 _let_2)) (= (tptp.k10_mcart_1 A B C D E) (tptp.k2_mcart_1 _let_1)) (= (tptp.k11_mcart_1 A B C D E) (tptp.k2_mcart_1 E))))))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (not (and (not (= A tptp.k1_xboole_0)) (not (= B tptp.k1_xboole_0)) (not (= C tptp.k1_xboole_0)) (not (= D tptp.k1_xboole_0)) (not (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.k4_zfmisc_1 A B C D)) (and (not (= E (tptp.k8_mcart_1 A B C D E))) (not (= E (tptp.k9_mcart_1 A B C D E))) (not (= E (tptp.k10_mcart_1 A B C D E))) (not (= E (tptp.k11_mcart_1 A B C D E)))))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (not (and (not (tptp.r1_tarski A (tptp.k4_zfmisc_1 A B C D))) (not (tptp.r1_tarski A (tptp.k4_zfmisc_1 B C D A))) (not (tptp.r1_tarski A (tptp.k4_zfmisc_1 C D A B))) (not (tptp.r1_tarski A (tptp.k4_zfmisc_1 D A B C))))) (= A tptp.k1_xboole_0))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted) (G $$unsorted) (H $$unsorted)) (=> (not (tptp.r1_xboole_0 (tptp.k4_zfmisc_1 A B C D) (tptp.k4_zfmisc_1 E F G H))) (and (not (tptp.r1_xboole_0 A E)) (not (tptp.r1_xboole_0 B F)) (not (tptp.r1_xboole_0 C G)) (not (tptp.r1_xboole_0 D H))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (= (tptp.k4_zfmisc_1 (tptp.k1_tarski A) (tptp.k1_tarski B) (tptp.k1_tarski C) (tptp.k1_tarski D)) (tptp.k1_tarski (tptp.k4_mcart_1 A B C D)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (not (= (tptp.k2_zfmisc_1 A B) tptp.k1_xboole_0)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k2_zfmisc_1 A B)) (and (not (= C (tptp.k1_mcart_1 C))) (not (= C (tptp.k2_mcart_1 C)))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.r2_hidden A (tptp.k2_zfmisc_1 B C)) (and (not (= A (tptp.k1_mcart_1 A))) (not (= A (tptp.k2_mcart_1 A)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k3_zfmisc_1 A B C)) (not (and (not (= A tptp.k1_xboole_0)) (not (= B tptp.k1_xboole_0)) (not (= C tptp.k1_xboole_0)) (exists ((E $$unsorted) (F $$unsorted) (G $$unsorted)) (and (= D (tptp.k3_mcart_1 E F G)) (not (and (= (tptp.k5_mcart_1 A B C D) E) (= (tptp.k6_mcart_1 A B C D) F) (= (tptp.k7_mcart_1 A B C D) G))))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.k3_zfmisc_1 A B C)) (=> (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F A) (forall ((G $$unsorted)) (=> (tptp.m1_subset_1 G B) (forall ((H $$unsorted)) (=> (tptp.m1_subset_1 H C) (=> (= E (tptp.k3_mcart_1 F G H)) (= D F)))))))) (or (= A tptp.k1_xboole_0) (= B tptp.k1_xboole_0) (= C tptp.k1_xboole_0) (= D (tptp.k5_mcart_1 A B C E)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.k3_zfmisc_1 A B C)) (=> (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F A) (forall ((G $$unsorted)) (=> (tptp.m1_subset_1 G B) (forall ((H $$unsorted)) (=> (tptp.m1_subset_1 H C) (=> (= E (tptp.k3_mcart_1 F G H)) (= D G)))))))) (or (= A tptp.k1_xboole_0) (= B tptp.k1_xboole_0) (= C tptp.k1_xboole_0) (= D (tptp.k6_mcart_1 A B C E)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.k3_zfmisc_1 A B C)) (=> (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F A) (forall ((G $$unsorted)) (=> (tptp.m1_subset_1 G B) (forall ((H $$unsorted)) (=> (tptp.m1_subset_1 H C) (=> (= E (tptp.k3_mcart_1 F G H)) (= D H)))))))) (or (= A tptp.k1_xboole_0) (= B tptp.k1_xboole_0) (= C tptp.k1_xboole_0) (= D (tptp.k7_mcart_1 A B C E)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (not (and (tptp.r2_hidden A (tptp.k3_zfmisc_1 B C D)) (forall ((E $$unsorted) (F $$unsorted) (G $$unsorted)) (not (and (tptp.r2_hidden E B) (tptp.r2_hidden F C) (tptp.r2_hidden G D) (= A (tptp.k3_mcart_1 E F G)))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted)) (= (tptp.r2_hidden (tptp.k3_mcart_1 A B C) (tptp.k3_zfmisc_1 D E F)) (and (tptp.r2_hidden A D) (tptp.r2_hidden B E) (tptp.r2_hidden C F)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (forall ((E $$unsorted)) (= (tptp.r2_hidden E A) (exists ((F $$unsorted) (G $$unsorted) (H $$unsorted)) (and (tptp.r2_hidden F B) (tptp.r2_hidden G C) (tptp.r2_hidden H D) (= E (tptp.k3_mcart_1 F G H)))))) (= A (tptp.k3_zfmisc_1 B C D)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted)) (not (and (not (= A tptp.k1_xboole_0)) (not (= B tptp.k1_xboole_0)) (not (= C tptp.k1_xboole_0)) (not (= D tptp.k1_xboole_0)) (not (= E tptp.k1_xboole_0)) (not (= F tptp.k1_xboole_0)) (exists ((G $$unsorted)) (and (tptp.m1_subset_1 G (tptp.k3_zfmisc_1 A B C)) (exists ((H $$unsorted)) (and (tptp.m1_subset_1 H (tptp.k3_zfmisc_1 D E F)) (= G H) (not (and (= (tptp.k5_mcart_1 A B C G) (tptp.k5_mcart_1 D E F H)) (= (tptp.k6_mcart_1 A B C G) (tptp.k6_mcart_1 D E F H)) (= (tptp.k7_mcart_1 A B C G) (tptp.k7_mcart_1 D E F H))))))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 A)) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.k1_zfmisc_1 B)) (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F (tptp.k1_zfmisc_1 C)) (forall ((G $$unsorted)) (=> (tptp.m1_subset_1 G (tptp.k3_zfmisc_1 A B C)) (=> (tptp.r2_hidden G (tptp.k3_zfmisc_1 D E F)) (and (tptp.r2_hidden (tptp.k5_mcart_1 A B C G) D) (tptp.r2_hidden (tptp.k6_mcart_1 A B C G) E) (tptp.r2_hidden (tptp.k7_mcart_1 A B C G) F))))))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted)) (=> (and (tptp.r1_tarski A B) (tptp.r1_tarski C D) (tptp.r1_tarski E F)) (tptp.r1_tarski (tptp.k3_zfmisc_1 A C E) (tptp.k3_zfmisc_1 B D F)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.k4_zfmisc_1 A B C D)) (not (and (not (= A tptp.k1_xboole_0)) (not (= B tptp.k1_xboole_0)) (not (= C tptp.k1_xboole_0)) (not (= D tptp.k1_xboole_0)) (exists ((F $$unsorted) (G $$unsorted) (H $$unsorted) (I $$unsorted)) (and (= E (tptp.k4_mcart_1 F G H I)) (not (and (= (tptp.k8_mcart_1 A B C D E) F) (= (tptp.k9_mcart_1 A B C D E) G) (= (tptp.k10_mcart_1 A B C D E) H) (= (tptp.k11_mcart_1 A B C D E) I))))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted)) (=> (tptp.m1_subset_1 F (tptp.k4_zfmisc_1 A B C D)) (=> (forall ((G $$unsorted)) (=> (tptp.m1_subset_1 G A) (forall ((H $$unsorted)) (=> (tptp.m1_subset_1 H B) (forall ((I $$unsorted)) (=> (tptp.m1_subset_1 I C) (forall ((J $$unsorted)) (=> (tptp.m1_subset_1 J D) (=> (= F (tptp.k4_mcart_1 G H I J)) (= E G)))))))))) (or (= A tptp.k1_xboole_0) (= B tptp.k1_xboole_0) (= C tptp.k1_xboole_0) (= D tptp.k1_xboole_0) (= E (tptp.k8_mcart_1 A B C D F)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted)) (=> (tptp.m1_subset_1 F (tptp.k4_zfmisc_1 A B C D)) (=> (forall ((G $$unsorted)) (=> (tptp.m1_subset_1 G A) (forall ((H $$unsorted)) (=> (tptp.m1_subset_1 H B) (forall ((I $$unsorted)) (=> (tptp.m1_subset_1 I C) (forall ((J $$unsorted)) (=> (tptp.m1_subset_1 J D) (=> (= F (tptp.k4_mcart_1 G H I J)) (= E H)))))))))) (or (= A tptp.k1_xboole_0) (= B tptp.k1_xboole_0) (= C tptp.k1_xboole_0) (= D tptp.k1_xboole_0) (= E (tptp.k9_mcart_1 A B C D F)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted)) (=> (tptp.m1_subset_1 F (tptp.k4_zfmisc_1 A B C D)) (=> (forall ((G $$unsorted)) (=> (tptp.m1_subset_1 G A) (forall ((H $$unsorted)) (=> (tptp.m1_subset_1 H B) (forall ((I $$unsorted)) (=> (tptp.m1_subset_1 I C) (forall ((J $$unsorted)) (=> (tptp.m1_subset_1 J D) (=> (= F (tptp.k4_mcart_1 G H I J)) (= E I)))))))))) (or (= A tptp.k1_xboole_0) (= B tptp.k1_xboole_0) (= C tptp.k1_xboole_0) (= D tptp.k1_xboole_0) (= E (tptp.k10_mcart_1 A B C D F)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted)) (=> (tptp.m1_subset_1 F (tptp.k4_zfmisc_1 A B C D)) (=> (forall ((G $$unsorted)) (=> (tptp.m1_subset_1 G A) (forall ((H $$unsorted)) (=> (tptp.m1_subset_1 H B) (forall ((I $$unsorted)) (=> (tptp.m1_subset_1 I C) (forall ((J $$unsorted)) (=> (tptp.m1_subset_1 J D) (=> (= F (tptp.k4_mcart_1 G H I J)) (= E J)))))))))) (or (= A tptp.k1_xboole_0) (= B tptp.k1_xboole_0) (= C tptp.k1_xboole_0) (= D tptp.k1_xboole_0) (= E (tptp.k11_mcart_1 A B C D F)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (not (and (tptp.r2_hidden A (tptp.k4_zfmisc_1 B C D E)) (forall ((F $$unsorted) (G $$unsorted) (H $$unsorted) (I $$unsorted)) (not (and (tptp.r2_hidden F B) (tptp.r2_hidden G C) (tptp.r2_hidden H D) (tptp.r2_hidden I E) (= A (tptp.k4_mcart_1 F G H I)))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted) (G $$unsorted) (H $$unsorted)) (= (tptp.r2_hidden (tptp.k4_mcart_1 A B C D) (tptp.k4_zfmisc_1 E F G H)) (and (tptp.r2_hidden A E) (tptp.r2_hidden B F) (tptp.r2_hidden C G) (tptp.r2_hidden D H)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (=> (forall ((F $$unsorted)) (= (tptp.r2_hidden F A) (exists ((G $$unsorted) (H $$unsorted) (I $$unsorted) (J $$unsorted)) (and (tptp.r2_hidden G B) (tptp.r2_hidden H C) (tptp.r2_hidden I D) (tptp.r2_hidden J E) (= F (tptp.k4_mcart_1 G H I J)))))) (= A (tptp.k4_zfmisc_1 B C D E)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted) (G $$unsorted) (H $$unsorted)) (not (and (not (= A tptp.k1_xboole_0)) (not (= B tptp.k1_xboole_0)) (not (= C tptp.k1_xboole_0)) (not (= D tptp.k1_xboole_0)) (not (= E tptp.k1_xboole_0)) (not (= F tptp.k1_xboole_0)) (not (= G tptp.k1_xboole_0)) (not (= H tptp.k1_xboole_0)) (exists ((I $$unsorted)) (and (tptp.m1_subset_1 I (tptp.k4_zfmisc_1 A B C D)) (exists ((J $$unsorted)) (and (tptp.m1_subset_1 J (tptp.k4_zfmisc_1 E F G H)) (= I J) (not (and (= (tptp.k8_mcart_1 A B C D I) (tptp.k8_mcart_1 E F G H J)) (= (tptp.k9_mcart_1 A B C D I) (tptp.k9_mcart_1 E F G H J)) (= (tptp.k10_mcart_1 A B C D I) (tptp.k10_mcart_1 E F G H J)) (= (tptp.k11_mcart_1 A B C D I) (tptp.k11_mcart_1 E F G H J))))))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.k1_zfmisc_1 A)) (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F (tptp.k1_zfmisc_1 B)) (forall ((G $$unsorted)) (=> (tptp.m1_subset_1 G (tptp.k1_zfmisc_1 C)) (forall ((H $$unsorted)) (=> (tptp.m1_subset_1 H (tptp.k1_zfmisc_1 D)) (forall ((I $$unsorted)) (=> (tptp.m1_subset_1 I (tptp.k4_zfmisc_1 A B C D)) (=> (tptp.r2_hidden I (tptp.k4_zfmisc_1 E F G H)) (and (tptp.r2_hidden (tptp.k8_mcart_1 A B C D I) E) (tptp.r2_hidden (tptp.k9_mcart_1 A B C D I) F) (tptp.r2_hidden (tptp.k10_mcart_1 A B C D I) G) (tptp.r2_hidden (tptp.k11_mcart_1 A B C D I) H))))))))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted) (G $$unsorted) (H $$unsorted)) (=> (and (tptp.r1_tarski A B) (tptp.r1_tarski C D) (tptp.r1_tarski E F) (tptp.r1_tarski G H)) (tptp.r1_tarski (tptp.k4_zfmisc_1 A C E G) (tptp.k4_zfmisc_1 B D F H)))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (= (= B (tptp.k15_mcart_1 A)) (and (= (tptp.k1_relat_1 B) (tptp.k1_relat_1 A)) (forall ((C $$unsorted)) (=> (tptp.r2_hidden C (tptp.k1_relat_1 A)) (= (tptp.k1_funct_1 B C) (tptp.k1_mcart_1 (tptp.k1_funct_1 A C))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (= (= B (tptp.k16_mcart_1 A)) (and (= (tptp.k1_relat_1 B) (tptp.k1_relat_1 A)) (forall ((C $$unsorted)) (=> (tptp.r2_hidden C (tptp.k1_relat_1 A)) (= (tptp.k1_funct_1 B C) (tptp.k2_mcart_1 (tptp.k1_funct_1 A C))))))))))) (forall ((A $$unsorted)) (= (tptp.k17_mcart_1 A) (tptp.k1_mcart_1 (tptp.k1_mcart_1 A)))) (forall ((A $$unsorted)) (= (tptp.k18_mcart_1 A) (tptp.k2_mcart_1 (tptp.k1_mcart_1 A)))) (forall ((A $$unsorted)) (= (tptp.k19_mcart_1 A) (tptp.k1_mcart_1 (tptp.k2_mcart_1 A)))) (forall ((A $$unsorted)) (= (tptp.k20_mcart_1 A) (tptp.k2_mcart_1 (tptp.k2_mcart_1 A)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted)) (let ((_let_1 (tptp.k4_tarski F (tptp.k4_tarski D E)))) (let ((_let_2 (tptp.k4_tarski (tptp.k4_tarski A B) C))) (and (= (tptp.k17_mcart_1 _let_2) A) (= (tptp.k18_mcart_1 _let_2) B) (= (tptp.k19_mcart_1 _let_1) D) (= (tptp.k20_mcart_1 _let_1) E))))) true true true true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k3_zfmisc_1 A B C)) (tptp.m1_subset_1 (tptp.k5_mcart_1 A B C D) A))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k3_zfmisc_1 A B C)) (tptp.m1_subset_1 (tptp.k6_mcart_1 A B C D) B))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k3_zfmisc_1 A B C)) (tptp.m1_subset_1 (tptp.k7_mcart_1 A B C D) C))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.k4_zfmisc_1 A B C D)) (tptp.m1_subset_1 (tptp.k8_mcart_1 A B C D E) A))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.k4_zfmisc_1 A B C D)) (tptp.m1_subset_1 (tptp.k9_mcart_1 A B C D E) B))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.k4_zfmisc_1 A B C D)) (tptp.m1_subset_1 (tptp.k10_mcart_1 A B C D E) C))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.k4_zfmisc_1 A B C D)) (tptp.m1_subset_1 (tptp.k11_mcart_1 A B C D E) D))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 A)) (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 B))) (tptp.m1_subset_1 (tptp.k12_mcart_1 A B C D) (tptp.k1_zfmisc_1 (tptp.k2_zfmisc_1 A B))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 A)) (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 B))) (= (tptp.k12_mcart_1 A B C D) (tptp.k2_zfmisc_1 C D)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted)) (=> (and (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 A)) (tptp.m1_subset_1 E (tptp.k1_zfmisc_1 B)) (tptp.m1_subset_1 F (tptp.k1_zfmisc_1 C))) (tptp.m1_subset_1 (tptp.k13_mcart_1 A B C D E F) (tptp.k1_zfmisc_1 (tptp.k3_zfmisc_1 A B C))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted)) (=> (and (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 A)) (tptp.m1_subset_1 E (tptp.k1_zfmisc_1 B)) (tptp.m1_subset_1 F (tptp.k1_zfmisc_1 C))) (= (tptp.k13_mcart_1 A B C D E F) (tptp.k3_zfmisc_1 D E F)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted) (G $$unsorted) (H $$unsorted)) (=> (and (tptp.m1_subset_1 E (tptp.k1_zfmisc_1 A)) (tptp.m1_subset_1 F (tptp.k1_zfmisc_1 B)) (tptp.m1_subset_1 G (tptp.k1_zfmisc_1 C)) (tptp.m1_subset_1 H (tptp.k1_zfmisc_1 D))) (tptp.m1_subset_1 (tptp.k14_mcart_1 A B C D E F G H) (tptp.k1_zfmisc_1 (tptp.k4_zfmisc_1 A B C D))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted) (G $$unsorted) (H $$unsorted)) (=> (and (tptp.m1_subset_1 E (tptp.k1_zfmisc_1 A)) (tptp.m1_subset_1 F (tptp.k1_zfmisc_1 B)) (tptp.m1_subset_1 G (tptp.k1_zfmisc_1 C)) (tptp.m1_subset_1 H (tptp.k1_zfmisc_1 D))) (= (tptp.k14_mcart_1 A B C D E F G H) (tptp.k4_zfmisc_1 E F G H)))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k15_mcart_1 A))) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (and (tptp.v1_relat_1 _let_1) (tptp.v1_funct_1 _let_1))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k16_mcart_1 A))) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (and (tptp.v1_relat_1 _let_1) (tptp.v1_funct_1 _let_1))))) true true true true (forall ((A $$unsorted) (B $$unsorted)) (exists ((C $$unsorted)) (and (tptp.m1_relset_1 C A B) (tptp.v1_relat_1 C) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C A B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.v1_funct_1 C))) (=> (tptp.m1_relset_1 C A B) (=> (and _let_1 (tptp.v1_partfun1 C A B)) (and _let_1 (tptp.v1_funct_2 C A B)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (not (tptp.v1_xboole_0 (tptp.k1_funct_2 A B))))) (forall ((A $$unsorted)) (not (tptp.v1_xboole_0 (tptp.k1_funct_2 A A)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.v1_funct_2 C A B))) (let ((_let_2 (tptp.v1_funct_1 C))) (=> (tptp.m1_relset_1 C A B) (=> (and _let_2 _let_1 (tptp.v3_funct_2 C A B)) (and _let_2 (tptp.v2_funct_1 C) _let_1 (tptp.v2_funct_2 C A B))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.v1_funct_2 C A B))) (let ((_let_2 (tptp.v1_funct_1 C))) (=> (tptp.m1_relset_1 C A B) (=> (and _let_2 (tptp.v2_funct_1 C) _let_1 (tptp.v2_funct_2 C A B)) (and _let_2 _let_1 (tptp.v3_funct_2 C A B))))))) (forall ((A $$unsorted)) (exists ((B $$unsorted)) (and (tptp.m1_relset_1 B A A) (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (tptp.v2_funct_1 B) (tptp.v1_funct_2 B A A) (tptp.v2_funct_2 B A A) (tptp.v3_funct_2 B A A)))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.v1_funct_2 B A A))) (let ((_let_2 (tptp.v1_funct_1 B))) (=> (tptp.m1_relset_1 B A A) (=> (and _let_2 (tptp.v1_partfun1 B A A) (tptp.v1_relat_2 B) _let_1) (and _let_2 (tptp.v2_funct_1 B) _let_1 (tptp.v2_funct_2 B A A) (tptp.v3_funct_2 B A A))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.v1_funct_2 C A B))) (let ((_let_2 (tptp.v1_funct_1 C))) (=> (tptp.m1_relset_1 C A B) (=> (and _let_2 _let_1) (and _let_2 (tptp.v1_partfun1 C A B) _let_1)))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (not (tptp.v1_xboole_0 B))) (forall ((C $$unsorted)) (let ((_let_1 (tptp.v1_funct_2 C A B))) (let ((_let_2 (tptp.v1_funct_1 C))) (=> (tptp.m1_relset_1 C A B) (=> (and _let_2 _let_1) (and _let_2 (not (tptp.v1_xboole_0 C)) (tptp.v1_partfun1 C A B) _let_1)))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.v1_funct_2 C A B))) (let ((_let_2 (= A tptp.k1_xboole_0))) (let ((_let_3 (= B tptp.k1_xboole_0))) (=> (tptp.m2_relset_1 C A B) (and (=> (=> _let_3 _let_2) (= _let_1 (= A (tptp.k4_relset_1 A B C)))) (=> _let_3 (or _let_2 (= _let_1 (= C tptp.k1_xboole_0)))))))))) true true (forall ((A $$unsorted)) (let ((_let_1 (tptp.k2_relat_1 A))) (let ((_let_2 (tptp.k1_relat_1 A))) (let ((_let_3 (tptp.v1_funct_1 A))) (=> (and (tptp.v1_relat_1 A) _let_3) (and _let_3 (tptp.v1_funct_2 A _let_2 _let_1) (tptp.m2_relset_1 A _let_2 _let_1))))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k1_relat_1 B))) (let ((_let_2 (tptp.v1_funct_1 B))) (=> (and (tptp.v1_relat_1 B) _let_2) (=> (tptp.r1_tarski (tptp.k2_relat_1 B) A) (and _let_2 (tptp.v1_funct_2 B _let_1 A) (tptp.m2_relset_1 B _let_1 A))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.v1_funct_1 C))) (=> (and (tptp.v1_relat_1 C) _let_1) (=> (and (= (tptp.k1_relat_1 C) A) (forall ((D $$unsorted)) (=> (tptp.r2_hidden D A) (tptp.r2_hidden (tptp.k1_funct_1 C D) B)))) (and _let_1 (tptp.v1_funct_2 C A B) (tptp.m2_relset_1 C A B)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D A B) (tptp.m2_relset_1 D A B)) (=> (tptp.r2_hidden C A) (or (= B tptp.k1_xboole_0) (tptp.r2_hidden (tptp.k1_funct_1 D C) (tptp.k2_relat_1 D)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D A B) (tptp.m2_relset_1 D A B)) (=> (tptp.r2_hidden C A) (or (= B tptp.k1_xboole_0) (tptp.r2_hidden (tptp.k1_funct_1 D C) B))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.v1_funct_1 D))) (=> (and _let_1 (tptp.v1_funct_2 D A B) (tptp.m2_relset_1 D A B)) (=> (tptp.r1_tarski (tptp.k2_relat_1 D) C) (or (and (= B tptp.k1_xboole_0) (not (= A tptp.k1_xboole_0))) (and _let_1 (tptp.v1_funct_2 D A C) (tptp.m2_relset_1 D A C))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.v1_funct_1 D))) (=> (and _let_1 (tptp.v1_funct_2 D A B) (tptp.m2_relset_1 D A B)) (=> (tptp.r1_tarski B C) (or (and (= B tptp.k1_xboole_0) (not (= A tptp.k1_xboole_0))) (and _let_1 (tptp.v1_funct_2 D A C) (tptp.m2_relset_1 D A C))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (= C (tptp.k1_funct_2 A B)) (forall ((D $$unsorted)) (= (tptp.r2_hidden D C) (exists ((E $$unsorted)) (and (tptp.v1_relat_1 E) (tptp.v1_funct_1 E) (= D E) (= (tptp.k1_relat_1 E) A) (tptp.r1_tarski (tptp.k2_relat_1 E) B))))))) true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C A B) (tptp.m2_relset_1 C A B)) (=> (=> (= B tptp.k1_xboole_0) (= A tptp.k1_xboole_0)) (tptp.r2_hidden C (tptp.k1_funct_2 A B))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B A A) (tptp.m2_relset_1 B A A)) (tptp.r2_hidden B (tptp.k1_funct_2 A A)))) true (forall ((A $$unsorted)) (=> (not (= A tptp.k1_xboole_0)) (= (tptp.k1_funct_2 A tptp.k1_xboole_0) tptp.k1_xboole_0))) true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C A B) (tptp.m2_relset_1 C A B)) (=> (forall ((D $$unsorted)) (not (and (tptp.r2_hidden D B) (forall ((E $$unsorted)) (not (and (tptp.r2_hidden E A) (= D (tptp.k1_funct_1 C E)))))))) (or (= B tptp.k1_xboole_0) (= (tptp.k2_relat_1 C) B))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D A B) (tptp.m2_relset_1 D A B)) (not (and (tptp.r2_hidden C B) (= (tptp.k2_relat_1 D) B) (forall ((E $$unsorted)) (not (and (tptp.r2_hidden E A) (= (tptp.k1_funct_1 D E) C)))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C A B) (tptp.m2_relset_1 C A B)) (forall ((D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D A B) (tptp.m2_relset_1 D A B)) (=> (forall ((E $$unsorted)) (=> (tptp.r2_hidden E A) (= (tptp.k1_funct_1 C E) (tptp.k1_funct_1 D E)))) (= C D)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D A B) (tptp.m2_relset_1 D A B)) (forall ((E $$unsorted)) (let ((_let_1 (tptp.k1_partfun1 A B B C D E))) (=> (and (tptp.v1_funct_1 E) (tptp.v1_funct_2 E B C) (tptp.m2_relset_1 E B C)) (=> (not (and (= B tptp.k1_xboole_0) (not (= C tptp.k1_xboole_0)) (not (= A tptp.k1_xboole_0)))) (and (tptp.v1_funct_1 _let_1) (tptp.v1_funct_2 _let_1 A C) (tptp.m2_relset_1 _let_1 A C)))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D A B) (tptp.m2_relset_1 D A B)) (forall ((E $$unsorted)) (=> (and (tptp.v1_funct_1 E) (tptp.v1_funct_2 E B C) (tptp.m2_relset_1 E B C)) (=> (and (= (tptp.k2_relat_1 D) B) (= (tptp.k2_relat_1 E) C)) (or (= B tptp.k1_xboole_0) (= C tptp.k1_xboole_0) (= (tptp.k2_relat_1 (tptp.k1_partfun1 A B B C D E)) C))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D A B) (tptp.m2_relset_1 D A B)) (forall ((E $$unsorted)) (=> (and (tptp.v1_relat_1 E) (tptp.v1_funct_1 E)) (=> (tptp.r2_hidden C A) (or (= B tptp.k1_xboole_0) (= (tptp.k1_funct_1 (tptp.k5_relat_1 D E) C) (tptp.k1_funct_1 E (tptp.k1_funct_1 D C))))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C A B) (tptp.m2_relset_1 C A B)) (=> (not (= B tptp.k1_xboole_0)) (= (= (tptp.k2_relat_1 C) B) (forall ((D $$unsorted)) (=> (not (= D tptp.k1_xboole_0)) (forall ((E $$unsorted)) (=> (and (tptp.v1_funct_1 E) (tptp.v1_funct_2 E B D) (tptp.m2_relset_1 E B D)) (forall ((F $$unsorted)) (=> (and (tptp.v1_funct_1 F) (tptp.v1_funct_2 F B D) (tptp.m2_relset_1 F B D)) (=> (= (tptp.k1_partfun1 A B B D C E) (tptp.k1_partfun1 A B B D C F)) (= E F)))))))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.m2_relset_1 C A B) (and (= (tptp.k7_relset_1 A A A B (tptp.k6_partfun1 A) C) C) (= (tptp.k7_relset_1 A B B B C (tptp.k6_partfun1 B)) C)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C A B) (tptp.m2_relset_1 C A B)) (forall ((D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D B A) (tptp.m2_relset_1 D B A)) (=> (= (tptp.k1_partfun1 B A A B D C) (tptp.k6_partfun1 B)) (= (tptp.k2_relat_1 C) B)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C A B) (tptp.m2_relset_1 C A B)) (=> (=> (= B tptp.k1_xboole_0) (= A tptp.k1_xboole_0)) (= (tptp.v2_funct_1 C) (forall ((D $$unsorted) (E $$unsorted)) (=> (and (tptp.r2_hidden D A) (tptp.r2_hidden E A) (= (tptp.k1_funct_1 C D) (tptp.k1_funct_1 C E))) (= D E))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D A B) (tptp.m2_relset_1 D A B)) (forall ((E $$unsorted)) (let ((_let_1 (= B tptp.k1_xboole_0))) (=> (and (tptp.v1_funct_1 E) (tptp.v1_funct_2 E B C) (tptp.m2_relset_1 E B C)) (=> (tptp.v2_funct_1 (tptp.k1_partfun1 A B B C D E)) (or (and (= C tptp.k1_xboole_0) (not _let_1)) (and _let_1 (not (= A tptp.k1_xboole_0))) (tptp.v2_funct_1 D)))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C A B) (tptp.m2_relset_1 C A B)) (not (and (not (= A tptp.k1_xboole_0)) (not (= B tptp.k1_xboole_0)) (not (= (tptp.v2_funct_1 C) (forall ((D $$unsorted) (E $$unsorted)) (=> (and (tptp.v1_funct_1 E) (tptp.v1_funct_2 E D A) (tptp.m2_relset_1 E D A)) (forall ((F $$unsorted)) (=> (and (tptp.v1_funct_1 F) (tptp.v1_funct_2 F D A) (tptp.m2_relset_1 F D A)) (=> (= (tptp.k1_partfun1 D A A B E C) (tptp.k1_partfun1 D A A B F C)) (= E F)))))))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D A B) (tptp.m2_relset_1 D A B)) (forall ((E $$unsorted)) (=> (and (tptp.v1_funct_1 E) (tptp.v1_funct_2 E B C) (tptp.m2_relset_1 E B C)) (=> (and (= (tptp.k2_relat_1 (tptp.k1_partfun1 A B B C D E)) C) (tptp.v2_funct_1 E)) (or (= C tptp.k1_xboole_0) (= (tptp.k2_relat_1 D) B))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C A B) (tptp.m2_relset_1 C A B)) (forall ((D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D B A) (tptp.m2_relset_1 D B A)) (=> (= (tptp.k1_partfun1 A B B A C D) (tptp.k6_partfun1 A)) (or (= B tptp.k1_xboole_0) (and (tptp.v2_funct_1 C) (= (tptp.k2_relat_1 D) A)))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D A B) (tptp.m2_relset_1 D A B)) (forall ((E $$unsorted)) (=> (and (tptp.v1_funct_1 E) (tptp.v1_funct_2 E B C) (tptp.m2_relset_1 E B C)) (=> (and (tptp.v2_funct_1 (tptp.k1_partfun1 A B B C D E)) (= (tptp.k2_relat_1 D) B)) (or (and (= C tptp.k1_xboole_0) (not (= B tptp.k1_xboole_0))) (and (tptp.v2_funct_1 D) (tptp.v2_funct_1 E)))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k2_funct_1 C))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C A B) (tptp.m2_relset_1 C A B)) (=> (and (tptp.v2_funct_1 C) (= (tptp.k2_relat_1 C) B)) (and (tptp.v1_funct_1 _let_1) (tptp.v1_funct_2 _let_1 B A) (tptp.m2_relset_1 _let_1 B A)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D A B) (tptp.m2_relset_1 D A B)) (=> (and (tptp.v2_funct_1 D) (tptp.r2_hidden C A)) (or (= B tptp.k1_xboole_0) (= (tptp.k1_funct_1 (tptp.k2_funct_1 D) (tptp.k1_funct_1 D C)) C))))) true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C A B) (tptp.m2_relset_1 C A B)) (forall ((D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D B A) (tptp.m2_relset_1 D B A)) (=> (and (= (tptp.k2_relat_1 C) B) (tptp.v2_funct_1 C) (forall ((E $$unsorted) (F $$unsorted)) (let ((_let_1 (and (tptp.r2_hidden E B) (= (tptp.k1_funct_1 D E) F)))) (let ((_let_2 (and (tptp.r2_hidden F A) (= (tptp.k1_funct_1 C F) E)))) (and (=> _let_1 _let_2) (=> _let_2 _let_1)))))) (or (= A tptp.k1_xboole_0) (= B tptp.k1_xboole_0) (= D (tptp.k2_funct_1 C)))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k2_funct_1 C))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C A B) (tptp.m2_relset_1 C A B)) (=> (and (= (tptp.k2_relat_1 C) B) (tptp.v2_funct_1 C)) (or (= B tptp.k1_xboole_0) (and (= (tptp.k5_relat_1 C _let_1) (tptp.k6_partfun1 A)) (= (tptp.k5_relat_1 _let_1 C) (tptp.k6_partfun1 B)))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C A B) (tptp.m2_relset_1 C A B)) (forall ((D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D B A) (tptp.m2_relset_1 D B A)) (=> (and (= (tptp.k2_relat_1 C) B) (= (tptp.k1_partfun1 A B B A C D) (tptp.k6_partfun1 A)) (tptp.v2_funct_1 C)) (or (= A tptp.k1_xboole_0) (= B tptp.k1_xboole_0) (= D (tptp.k2_funct_1 C)))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C A B) (tptp.m2_relset_1 C A B)) (not (and (not (= B tptp.k1_xboole_0)) (exists ((D $$unsorted)) (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D B A) (tptp.m2_relset_1 D B A) (= (tptp.k1_partfun1 A B B A C D) (tptp.k6_partfun1 A)))) (not (tptp.v2_funct_1 C)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k2_partfun1 A B D C))) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D A B) (tptp.m2_relset_1 D A B)) (=> (tptp.r1_tarski C A) (or (and (= B tptp.k1_xboole_0) (not (= A tptp.k1_xboole_0))) (and (tptp.v1_funct_1 _let_1) (tptp.v1_funct_2 _let_1 C B) (tptp.m2_relset_1 _let_1 C B))))))) true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D A B) (tptp.m2_relset_1 D A B)) (=> (tptp.r1_tarski A C) (= (tptp.k2_partfun1 A B D C) D)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (let ((_let_1 (tptp.k1_funct_1 E C))) (=> (and (tptp.v1_funct_1 E) (tptp.v1_funct_2 E A B) (tptp.m2_relset_1 E A B)) (=> (and (tptp.r2_hidden C A) (tptp.r2_hidden _let_1 D)) (or (= B tptp.k1_xboole_0) (= (tptp.k1_funct_1 (tptp.k9_relset_1 A B D E) C) _let_1)))))) true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D A B) (tptp.m2_relset_1 D A B)) (=> (not (= B tptp.k1_xboole_0)) (forall ((E $$unsorted)) (=> (exists ((F $$unsorted)) (and (tptp.r2_hidden F A) (tptp.r2_hidden F C) (= E (tptp.k1_funct_1 D F)))) (tptp.r2_hidden E (tptp.k9_relat_1 D C))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D A B) (tptp.m2_relset_1 D A B)) (tptp.r1_tarski (tptp.k9_relat_1 D C) B))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C A B) (tptp.m2_relset_1 C A B)) (=> (=> (= B tptp.k1_xboole_0) (= A tptp.k1_xboole_0)) (= (tptp.k2_funct_2 A B C A) (tptp.k2_relat_1 C))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D A B) (tptp.m2_relset_1 D A B)) (=> (not (= B tptp.k1_xboole_0)) (forall ((E $$unsorted)) (= (tptp.r2_hidden E (tptp.k10_relat_1 D C)) (and (tptp.r2_hidden E A) (tptp.r2_hidden (tptp.k1_funct_1 D E) C))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.m2_relset_1 D A B)) (tptp.r1_tarski (tptp.k10_relat_1 D C) A))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C A B) (tptp.m2_relset_1 C A B)) (=> (=> (= B tptp.k1_xboole_0) (= A tptp.k1_xboole_0)) (= (tptp.k3_funct_2 A B C B) A)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C A B) (tptp.m2_relset_1 C A B)) (= (forall ((D $$unsorted)) (not (and (tptp.r2_hidden D B) (= (tptp.k3_funct_2 A B C (tptp.k1_tarski D)) tptp.k1_xboole_0)))) (= (tptp.k2_relat_1 C) B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D A B) (tptp.m2_relset_1 D A B)) (=> (tptp.r1_tarski C A) (or (and (= B tptp.k1_xboole_0) (not (= A tptp.k1_xboole_0))) (tptp.r1_tarski C (tptp.k3_funct_2 A B D (tptp.k2_funct_2 A B D C))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C A B) (tptp.m2_relset_1 C A B)) (=> (=> (= B tptp.k1_xboole_0) (= A tptp.k1_xboole_0)) (= (tptp.k3_funct_2 A B C (tptp.k2_funct_2 A B C A)) A)))) true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (=> (and (tptp.v1_funct_1 E) (tptp.v1_funct_2 E A B) (tptp.m2_relset_1 E A B)) (forall ((F $$unsorted)) (let ((_let_1 (= B tptp.k1_xboole_0))) (=> (and (tptp.v1_funct_1 F) (tptp.v1_funct_2 F B C) (tptp.m2_relset_1 F B C)) (not (and (=> (= C tptp.k1_xboole_0) _let_1) (=> _let_1 (= A tptp.k1_xboole_0)) (not (tptp.r1_tarski (tptp.k3_funct_2 A B E D) (tptp.k3_funct_2 A C (tptp.k1_partfun1 A B B C E F) (tptp.k2_funct_2 B C F D))))))))))) true (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.v1_funct_1 B))) (=> (and (tptp.v1_relat_1 B) _let_1) (=> (= (tptp.k1_relat_1 B) tptp.k1_xboole_0) (and _let_1 (tptp.v1_funct_2 B tptp.k1_xboole_0 A) (tptp.m2_relset_1 B tptp.k1_xboole_0 A)))))) true true true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C tptp.k1_xboole_0 A) (tptp.m2_relset_1 C tptp.k1_xboole_0 A)) (= (tptp.k2_funct_2 tptp.k1_xboole_0 A C B) tptp.k1_xboole_0))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C tptp.k1_xboole_0 A) (tptp.m2_relset_1 C tptp.k1_xboole_0 A)) (= (tptp.k3_funct_2 tptp.k1_xboole_0 A C B) tptp.k1_xboole_0))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k1_tarski A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_1 B) (tptp.m2_relset_1 C _let_1 B)) (=> (not (= B tptp.k1_xboole_0)) (tptp.r2_hidden (tptp.k1_funct_1 C A) B))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k1_tarski A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_1 B) (tptp.m2_relset_1 C _let_1 B)) (=> (not (= B tptp.k1_xboole_0)) (= (tptp.k2_relat_1 C) (tptp.k1_tarski (tptp.k1_funct_1 C A))))))) true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k1_tarski A))) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D _let_1 B) (tptp.m2_relset_1 D _let_1 B)) (=> (not (= B tptp.k1_xboole_0)) (tptp.r1_tarski (tptp.k2_funct_2 _let_1 B D C) (tptp.k1_tarski (tptp.k1_funct_1 D A))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k1_tarski B))) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D A _let_1) (tptp.m2_relset_1 D A _let_1)) (=> (tptp.r2_hidden C A) (= (tptp.k1_funct_1 D C) B))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k1_tarski B))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C A _let_1) (tptp.m2_relset_1 C A _let_1)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k1_tarski B))) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D A _let_1) (tptp.m2_relset_1 D A _let_1)) (= C D))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B A A) (tptp.m2_relset_1 B A A)) (and (= (tptp.k4_relset_1 A A B) A) (tptp.r1_tarski (tptp.k2_relat_1 B) A)))) true true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C A A) (tptp.m2_relset_1 C A A)) (forall ((D $$unsorted)) (=> (and (tptp.v1_relat_1 D) (tptp.v1_funct_1 D)) (=> (tptp.r2_hidden B A) (= (tptp.k1_funct_1 (tptp.k5_relat_1 C D) B) (tptp.k1_funct_1 D (tptp.k1_funct_1 C B)))))))) true true (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B A A) (tptp.m2_relset_1 B A A)) (forall ((C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C A A) (tptp.m2_relset_1 C A A)) (=> (and (= (tptp.k2_relat_1 B) A) (= (tptp.k2_relat_1 C) A)) (= (tptp.k2_relat_1 (tptp.k4_funct_2 A B C)) A)))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k6_partfun1 A))) (=> (tptp.m2_relset_1 B A A) (and (= (tptp.k7_relset_1 A A A A B _let_1) B) (= (tptp.k7_relset_1 A A A A _let_1 B) B))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B A A) (tptp.m2_relset_1 B A A)) (forall ((C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C A A) (tptp.m2_relset_1 C A A)) (=> (and (= (tptp.k4_funct_2 A B C) B) (= (tptp.k2_relat_1 B) A)) (= C (tptp.k6_partfun1 A))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B A A) (tptp.m2_relset_1 B A A)) (forall ((C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C A A) (tptp.m2_relset_1 C A A)) (=> (and (= (tptp.k4_funct_2 A C B) B) (tptp.v2_funct_1 B)) (= C (tptp.k6_partfun1 A))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B A A) (tptp.m2_relset_1 B A A)) (= (tptp.v2_funct_1 B) (forall ((C $$unsorted) (D $$unsorted)) (=> (and (tptp.r2_hidden C A) (tptp.r2_hidden D A) (= (tptp.k1_funct_1 B C) (tptp.k1_funct_1 B D))) (= C D)))))) true (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B A A) (tptp.m2_relset_1 B A A)) (= (tptp.k2_funct_2 A A B A) (tptp.k2_relat_1 B)))) true true (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B A A) (tptp.m2_relset_1 B A A)) (= (tptp.k3_funct_2 A A B (tptp.k2_funct_2 A A B A)) A))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C A B) (tptp.m2_relset_1 C A B)) (= (tptp.v2_funct_2 C A B) (= (tptp.k2_relat_1 C) B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C A B) (tptp.m2_relset_1 C A B)) (= (tptp.v3_funct_2 C A B) (and (tptp.v2_funct_1 C) (tptp.v2_funct_2 C A B))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.m2_relset_1 B A A))) (let ((_let_2 (tptp.v1_funct_2 B A A))) (let ((_let_3 (tptp.v1_funct_1 B))) (=> (and _let_3 _let_2 _let_1) (=> (and (tptp.v2_funct_1 B) (= (tptp.k2_relat_1 B) A)) (and _let_3 _let_2 (tptp.v3_funct_2 B A A) _let_1))))))) true (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B A A) (tptp.m2_relset_1 B A A)) (=> (tptp.v2_funct_1 B) (forall ((C $$unsorted) (D $$unsorted)) (=> (and (tptp.r2_hidden C A) (tptp.r2_hidden D A) (= (tptp.k1_funct_1 B C) (tptp.k1_funct_1 B D))) (= C D)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B A A) (tptp.v3_funct_2 B A A) (tptp.m2_relset_1 B A A)) (forall ((C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C A A) (tptp.v3_funct_2 C A A) (tptp.m2_relset_1 C A A)) (=> (= (tptp.k5_funct_2 A B C) C) (= B (tptp.k6_partfun1 A))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B A A) (tptp.v3_funct_2 B A A) (tptp.m2_relset_1 B A A)) (forall ((C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C A A) (tptp.v3_funct_2 C A A) (tptp.m2_relset_1 C A A)) (=> (= (tptp.k5_funct_2 A B C) (tptp.k6_partfun1 A)) (= C (tptp.k6_funct_2 A B))))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k6_partfun1 A))) (let ((_let_2 (tptp.k6_funct_2 A B))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B A A) (tptp.v3_funct_2 B A A) (tptp.m2_relset_1 B A A)) (and (= (tptp.k5_funct_2 A B _let_2) _let_1) (= (tptp.k5_funct_2 A _let_2 B) _let_1)))))) true true true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C A A) (tptp.v3_funct_2 C A A) (tptp.m2_relset_1 C A A)) (=> (tptp.r1_tarski B A) (and (= (tptp.k2_funct_2 A A C (tptp.k3_funct_2 A A C B)) B) (= (tptp.k3_funct_2 A A C (tptp.k2_funct_2 A A C B)) B))))) true true true true true true true true true true true true true true true true true true true true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C A B) (tptp.m2_relset_1 C A B)) (forall ((D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D A B) (tptp.m2_relset_1 D A B)) (=> (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E A) (= (tptp.k1_funct_1 C E) (tptp.k1_funct_1 D E)))) (= C D)))))) true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D A B) (tptp.m2_relset_1 D A B)) (forall ((E $$unsorted)) (not (and (tptp.r2_hidden E (tptp.k2_funct_2 A B D C)) (forall ((F $$unsorted)) (not (and (tptp.r2_hidden F A) (tptp.r2_hidden F C) (= E (tptp.k1_funct_1 D F)))))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D A B) (tptp.m2_relset_1 D A B)) (forall ((E $$unsorted)) (not (and (tptp.r2_hidden E (tptp.k2_funct_2 A B D C)) (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F A) (not (and (tptp.r2_hidden F C) (= E (tptp.k1_funct_1 D F))))))))))) true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A B))) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D _let_1 C) (tptp.m2_relset_1 D _let_1 C)) (forall ((E $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A B))) (=> (and (tptp.v1_funct_1 E) (tptp.v1_funct_2 E _let_1 C) (tptp.m2_relset_1 E _let_1 C)) (=> (forall ((F $$unsorted) (G $$unsorted)) (let ((_let_1 (tptp.k4_tarski F G))) (=> (and (tptp.r2_hidden F A) (tptp.r2_hidden G B)) (= (tptp.k1_funct_1 D _let_1) (tptp.k1_funct_1 E _let_1))))) (= D E)))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A B))) (=> (and (tptp.v1_funct_1 F) (tptp.v1_funct_2 F _let_1 C) (tptp.m2_relset_1 F _let_1 C)) (=> (and (tptp.r2_hidden D A) (tptp.r2_hidden E B)) (or (= C tptp.k1_xboole_0) (tptp.r2_hidden (tptp.k1_funct_1 F (tptp.k4_tarski D E)) C)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A B))) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D _let_1 C) (tptp.m2_relset_1 D _let_1 C)) (forall ((E $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A B))) (=> (and (tptp.v1_funct_1 E) (tptp.v1_funct_2 E _let_1 C) (tptp.m2_relset_1 E _let_1 C)) (=> (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F A) (forall ((G $$unsorted)) (let ((_let_1 (tptp.k4_tarski F G))) (=> (tptp.m1_subset_1 G B) (= (tptp.k1_funct_1 D _let_1) (tptp.k1_funct_1 E _let_1))))))) (= D E)))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.r2_hidden C (tptp.k1_funct_2 A B)) (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C A B) (tptp.m2_relset_1 C A B)))) true true true true true true true true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.m2_relset_1 C A B))) (let ((_let_2 (tptp.v1_funct_1 C))) (=> (and _let_2 _let_1) (=> (= (tptp.k4_relset_1 A B C) A) (and _let_2 (tptp.v1_funct_2 C A B) _let_1)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.m2_relset_1 C A B))) (let ((_let_2 (tptp.v1_funct_1 C))) (=> (and _let_2 _let_1) (=> (tptp.v1_partfun1 C A B) (and _let_2 (tptp.v1_funct_2 C A B) _let_1)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.m2_relset_1 C A B))) (let ((_let_2 (tptp.v1_funct_1 C))) (=> (and _let_2 _let_1) (=> (and _let_2 (tptp.v1_funct_2 C A B) _let_1) (or (and (= B tptp.k1_xboole_0) (not (= A tptp.k1_xboole_0))) (tptp.v1_partfun1 C A B))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C A B) (tptp.m2_relset_1 C A B)) (=> (=> (= B tptp.k1_xboole_0) (= A tptp.k1_xboole_0)) (tptp.v1_partfun1 (tptp.k3_partfun1 C A B) A B)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B A A) (tptp.m2_relset_1 B A A)) (tptp.v1_partfun1 (tptp.k3_partfun1 B A A) A A))) true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.m2_relset_1 C A B)) (not (and (=> (= B tptp.k1_xboole_0) (= A tptp.k1_xboole_0)) (forall ((D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D A B) (tptp.m2_relset_1 D A B)) (exists ((E $$unsorted)) (and (tptp.r2_hidden E (tptp.k4_relset_1 A B C)) (not (= (tptp.k1_funct_1 D E) (tptp.k1_funct_1 C E))))))))))) true true true true (forall ((A $$unsorted) (B $$unsorted)) (tptp.r1_tarski (tptp.k1_funct_2 A B) (tptp.k4_partfun1 A B))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C A B) (tptp.m2_relset_1 C A B)) (forall ((D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D A B) (tptp.m2_relset_1 D A B)) (=> (tptp.r1_partfun1 C D) (or (and (= B tptp.k1_xboole_0) (not (= A tptp.k1_xboole_0))) (= C D))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B A A) (tptp.m2_relset_1 B A A)) (forall ((C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C A A) (tptp.m2_relset_1 C A A)) (=> (tptp.r1_partfun1 B C) (= B C)))))) true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.m2_relset_1 C A B)) (forall ((D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D A B) (tptp.m2_relset_1 D A B)) (=> (=> (= B tptp.k1_xboole_0) (= A tptp.k1_xboole_0)) (= (tptp.r1_partfun1 C D) (forall ((E $$unsorted)) (=> (tptp.r2_hidden E (tptp.k4_relset_1 A B C)) (= (tptp.k1_funct_1 C E) (tptp.k1_funct_1 D E)))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_funct_1 B) (tptp.m2_relset_1 B A A)) (forall ((C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C A A) (tptp.m2_relset_1 C A A)) (= (tptp.r1_partfun1 B C) (forall ((D $$unsorted)) (=> (tptp.r2_hidden D (tptp.k4_relset_1 A A B)) (= (tptp.k1_funct_1 B D) (tptp.k1_funct_1 C D))))))))) true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.m2_relset_1 C A B)) (not (and (=> (= B tptp.k1_xboole_0) (= A tptp.k1_xboole_0)) (forall ((D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D A B) (tptp.m2_relset_1 D A B)) (not (tptp.r1_partfun1 C D)))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_funct_1 B) (tptp.m2_relset_1 B A A)) (exists ((C $$unsorted)) (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C A A) (tptp.m2_relset_1 C A A) (tptp.r1_partfun1 B C))))) true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.m2_relset_1 C A B)) (forall ((D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.m2_relset_1 D A B)) (forall ((E $$unsorted)) (=> (and (tptp.v1_funct_1 E) (tptp.v1_funct_2 E A B) (tptp.m2_relset_1 E A B)) (=> (and (tptp.r1_partfun1 C E) (tptp.r1_partfun1 D E)) (or (and (= B tptp.k1_xboole_0) (not (= A tptp.k1_xboole_0))) (tptp.r1_partfun1 C D))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_funct_1 B) (tptp.m2_relset_1 B A A)) (forall ((C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.m2_relset_1 C A A)) (forall ((D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D A A) (tptp.m2_relset_1 D A A)) (=> (and (tptp.r1_partfun1 B D) (tptp.r1_partfun1 C D)) (tptp.r1_partfun1 B C)))))))) true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.m2_relset_1 C A B)) (forall ((D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.m2_relset_1 D A B)) (not (and (=> (= B tptp.k1_xboole_0) (= A tptp.k1_xboole_0)) (tptp.r1_partfun1 C D) (forall ((E $$unsorted)) (=> (and (tptp.v1_funct_1 E) (tptp.v1_funct_2 E A B) (tptp.m2_relset_1 E A B)) (not (and (tptp.r1_partfun1 C E) (tptp.r1_partfun1 D E))))))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.m2_relset_1 C A B)) (forall ((D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D A B) (tptp.m2_relset_1 D A B)) (=> (tptp.r1_partfun1 C D) (or (and (= B tptp.k1_xboole_0) (not (= A tptp.k1_xboole_0))) (tptp.r2_hidden D (tptp.k5_partfun1 A B C)))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_funct_1 B) (tptp.m2_relset_1 B A A)) (forall ((C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C A A) (tptp.m2_relset_1 C A A)) (=> (tptp.r1_partfun1 B C) (tptp.r2_hidden C (tptp.k5_partfun1 A A B))))))) true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.m2_relset_1 C A B)) (forall ((D $$unsorted)) (=> (tptp.r2_hidden D (tptp.k5_partfun1 A B C)) (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D A B) (tptp.m2_relset_1 D A B)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.m2_relset_1 C A B)) (tptp.r1_tarski (tptp.k5_partfun1 A B C) (tptp.k1_funct_2 A B)))) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.k5_partfun1 A B (tptp.k3_partfun1 tptp.k1_xboole_0 A B)) (tptp.k1_funct_2 A B))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C A B) (tptp.m2_relset_1 C A B)) (=> (=> (= B tptp.k1_xboole_0) (= A tptp.k1_xboole_0)) (= (tptp.k5_partfun1 A B (tptp.k3_partfun1 C A B)) (tptp.k1_tarski C))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B A A) (tptp.m2_relset_1 B A A)) (= (tptp.k5_partfun1 A A (tptp.k3_partfun1 B A A)) (tptp.k1_tarski B)))) true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.m2_relset_1 C A (tptp.k1_tarski B))) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k1_tarski B))) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D A _let_1) (tptp.m2_relset_1 D A _let_1)) (= (tptp.k5_partfun1 A _let_1 C) (tptp.k1_tarski D))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.m2_relset_1 C A B)) (forall ((D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.m2_relset_1 D A B)) (=> (tptp.r1_tarski D C) (tptp.r1_tarski (tptp.k5_partfun1 A B C) (tptp.k5_partfun1 A B D))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.m2_relset_1 C A B)) (forall ((D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.m2_relset_1 D A B)) (=> (and (tptp.r1_tarski (tptp.k4_relset_1 A B D) (tptp.k4_relset_1 A B C)) (tptp.r1_tarski (tptp.k5_partfun1 A B C) (tptp.k5_partfun1 A B D))) (tptp.r1_tarski D C)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.m2_relset_1 C A B)) (forall ((D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.m2_relset_1 D A B)) (=> (and (tptp.r1_tarski (tptp.k5_partfun1 A B C) (tptp.k5_partfun1 A B D)) (forall ((E $$unsorted)) (not (= B (tptp.k1_tarski E))))) (tptp.r1_tarski D C)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.m2_relset_1 C A B)) (forall ((D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.m2_relset_1 D A B)) (=> (and (forall ((E $$unsorted)) (not (= B (tptp.k1_tarski E)))) (= (tptp.k5_partfun1 A B C) (tptp.k5_partfun1 A B D))) (= C D)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k1_tarski C))) (let ((_let_2 (tptp.k2_zfmisc_1 (tptp.k1_tarski A) (tptp.k1_tarski B)))) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D _let_2 _let_1) (tptp.m2_relset_1 D _let_2 _let_1)) (= D (tptp.k9_funct_2 A B C)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (=> (tptp.r2_hidden C (tptp.k1_funct_2 A B)) (and (= (tptp.k1_relat_1 C) A) (tptp.r1_tarski (tptp.k2_relat_1 C) B))))) (=> (forall ((A $$unsorted)) (not (and (tptp.r2_hidden A tptp.f1_s1_funct_2) (forall ((B $$unsorted)) (not (and (tptp.r2_hidden B tptp.f2_s1_funct_2) (tptp.p1_s1_funct_2 A B))))))) (exists ((A $$unsorted)) (and (tptp.v1_funct_1 A) (tptp.v1_funct_2 A tptp.f1_s1_funct_2 tptp.f2_s1_funct_2) (tptp.m2_relset_1 A tptp.f1_s1_funct_2 tptp.f2_s1_funct_2) (forall ((B $$unsorted)) (=> (tptp.r2_hidden B tptp.f1_s1_funct_2) (tptp.p1_s1_funct_2 B (tptp.k1_funct_1 A B))))))) (=> (forall ((A $$unsorted)) (=> (tptp.r2_hidden A tptp.f1_s2_funct_2) (tptp.r2_hidden (tptp.f3_s2_funct_2 A) tptp.f2_s2_funct_2))) (exists ((A $$unsorted)) (and (tptp.v1_funct_1 A) (tptp.v1_funct_2 A tptp.f1_s2_funct_2 tptp.f2_s2_funct_2) (tptp.m2_relset_1 A tptp.f1_s2_funct_2 tptp.f2_s2_funct_2) (forall ((B $$unsorted)) (=> (tptp.r2_hidden B tptp.f1_s2_funct_2) (= (tptp.k1_funct_1 A B) (tptp.f3_s2_funct_2 B))))))) (=> (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.f1_s3_funct_2) (exists ((B $$unsorted)) (and (tptp.m1_subset_1 B tptp.f2_s3_funct_2) (tptp.p1_s3_funct_2 A B))))) (exists ((A $$unsorted)) (and (tptp.v1_funct_1 A) (tptp.v1_funct_2 A tptp.f1_s3_funct_2 tptp.f2_s3_funct_2) (tptp.m2_relset_1 A tptp.f1_s3_funct_2 tptp.f2_s3_funct_2) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.f1_s3_funct_2) (tptp.p1_s3_funct_2 B (tptp.k8_funct_2 tptp.f1_s3_funct_2 tptp.f2_s3_funct_2 A B))))))) (exists ((A $$unsorted)) (and (tptp.v1_funct_1 A) (tptp.v1_funct_2 A tptp.f1_s4_funct_2 tptp.f2_s4_funct_2) (tptp.m2_relset_1 A tptp.f1_s4_funct_2 tptp.f2_s4_funct_2) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.f1_s4_funct_2) (= (tptp.k8_funct_2 tptp.f1_s4_funct_2 tptp.f2_s4_funct_2 A B) (tptp.f3_s4_funct_2 B)))))) (=> (forall ((A $$unsorted) (B $$unsorted)) (not (and (tptp.r2_hidden A tptp.f1_s5_funct_2) (tptp.r2_hidden B tptp.f2_s5_funct_2) (forall ((C $$unsorted)) (not (and (tptp.r2_hidden C tptp.f3_s5_funct_2) (tptp.p1_s5_funct_2 A B C))))))) (exists ((A $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 tptp.f1_s5_funct_2 tptp.f2_s5_funct_2))) (and (tptp.v1_funct_1 A) (tptp.v1_funct_2 A _let_1 tptp.f3_s5_funct_2) (tptp.m2_relset_1 A _let_1 tptp.f3_s5_funct_2) (forall ((B $$unsorted) (C $$unsorted)) (=> (and (tptp.r2_hidden B tptp.f1_s5_funct_2) (tptp.r2_hidden C tptp.f2_s5_funct_2)) (tptp.p1_s5_funct_2 B C (tptp.k1_funct_1 A (tptp.k4_tarski B C))))))))) (=> (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.r2_hidden A tptp.f1_s6_funct_2) (tptp.r2_hidden B tptp.f2_s6_funct_2)) (tptp.r2_hidden (tptp.f4_s6_funct_2 A B) tptp.f3_s6_funct_2))) (exists ((A $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 tptp.f1_s6_funct_2 tptp.f2_s6_funct_2))) (and (tptp.v1_funct_1 A) (tptp.v1_funct_2 A _let_1 tptp.f3_s6_funct_2) (tptp.m2_relset_1 A _let_1 tptp.f3_s6_funct_2) (forall ((B $$unsorted) (C $$unsorted)) (=> (and (tptp.r2_hidden B tptp.f1_s6_funct_2) (tptp.r2_hidden C tptp.f2_s6_funct_2)) (= (tptp.k1_funct_1 A (tptp.k4_tarski B C)) (tptp.f4_s6_funct_2 B C)))))))) (=> (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.f1_s7_funct_2) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.f2_s7_funct_2) (exists ((C $$unsorted)) (and (tptp.m1_subset_1 C tptp.f3_s7_funct_2) (tptp.p1_s7_funct_2 A B C))))))) (exists ((A $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 tptp.f1_s7_funct_2 tptp.f2_s7_funct_2))) (and (tptp.v1_funct_1 A) (tptp.v1_funct_2 A _let_1 tptp.f3_s7_funct_2) (tptp.m2_relset_1 A _let_1 tptp.f3_s7_funct_2) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.f1_s7_funct_2) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C tptp.f2_s7_funct_2) (tptp.p1_s7_funct_2 B C (tptp.k1_funct_1 A (tptp.k4_tarski B C))))))))))) (exists ((A $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 tptp.f1_s8_funct_2 tptp.f2_s8_funct_2))) (and (tptp.v1_funct_1 A) (tptp.v1_funct_2 A _let_1 tptp.f3_s8_funct_2) (tptp.m2_relset_1 A _let_1 tptp.f3_s8_funct_2) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.f1_s8_funct_2) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C tptp.f2_s8_funct_2) (= (tptp.k1_funct_1 A (tptp.k4_tarski B C)) (tptp.f4_s8_funct_2 B C))))))))) (=> (forall ((A $$unsorted)) (let ((_let_1 (tptp.p1_s9_funct_2 A))) (=> (tptp.r2_hidden A tptp.f1_s9_funct_2) (and (=> _let_1 (tptp.r2_hidden (tptp.f3_s9_funct_2 A) tptp.f2_s9_funct_2)) (=> (not _let_1) (tptp.r2_hidden (tptp.f4_s9_funct_2 A) tptp.f2_s9_funct_2)))))) (exists ((A $$unsorted)) (and (tptp.v1_funct_1 A) (tptp.v1_funct_2 A tptp.f1_s9_funct_2 tptp.f2_s9_funct_2) (tptp.m2_relset_1 A tptp.f1_s9_funct_2 tptp.f2_s9_funct_2) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k1_funct_1 A B))) (let ((_let_2 (tptp.p1_s9_funct_2 B))) (=> (tptp.r2_hidden B tptp.f1_s9_funct_2) (and (=> _let_2 (= _let_1 (tptp.f3_s9_funct_2 B))) (=> (not _let_2) (= _let_1 (tptp.f4_s9_funct_2 B))))))))))) (exists ((A $$unsorted)) (and (tptp.v1_funct_1 A) (tptp.v1_funct_2 A tptp.f1_s10_funct_2 tptp.f2_s10_funct_2) (tptp.m2_relset_1 A tptp.f1_s10_funct_2 tptp.f2_s10_funct_2) (= (tptp.k8_funct_2 tptp.f1_s10_funct_2 tptp.f2_s10_funct_2 A tptp.f3_s10_funct_2) tptp.f4_s10_funct_2) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.f1_s10_funct_2) (=> (not (= B tptp.f3_s10_funct_2)) (= (tptp.k8_funct_2 tptp.f1_s10_funct_2 tptp.f2_s10_funct_2 A B) (tptp.f5_s10_funct_2 B))))))) (=> (not (= tptp.f3_s11_funct_2 tptp.f4_s11_funct_2)) (exists ((A $$unsorted)) (and (tptp.v1_funct_1 A) (tptp.v1_funct_2 A tptp.f1_s11_funct_2 tptp.f2_s11_funct_2) (tptp.m2_relset_1 A tptp.f1_s11_funct_2 tptp.f2_s11_funct_2) (= (tptp.k8_funct_2 tptp.f1_s11_funct_2 tptp.f2_s11_funct_2 A tptp.f3_s11_funct_2) tptp.f5_s11_funct_2) (= (tptp.k8_funct_2 tptp.f1_s11_funct_2 tptp.f2_s11_funct_2 A tptp.f4_s11_funct_2) tptp.f6_s11_funct_2) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.f1_s11_funct_2) (not (and (not (= B tptp.f3_s11_funct_2)) (not (= B tptp.f4_s11_funct_2)) (not (= (tptp.k8_funct_2 tptp.f1_s11_funct_2 tptp.f2_s11_funct_2 A B) (tptp.f7_s11_funct_2 B)))))))))) (=> (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.f1_s12_funct_2) (tptp.r2_hidden (tptp.f3_s12_funct_2 A) tptp.f2_s12_funct_2))) (exists ((A $$unsorted)) (and (tptp.v1_funct_1 A) (tptp.v1_funct_2 A tptp.f1_s12_funct_2 tptp.f2_s12_funct_2) (tptp.m2_relset_1 A tptp.f1_s12_funct_2 tptp.f2_s12_funct_2) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.f1_s12_funct_2) (= (tptp.k8_funct_2 tptp.f1_s12_funct_2 tptp.f2_s12_funct_2 A B) (tptp.f3_s12_funct_2 B))))))) (=> (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.f1_s13_funct_2) (tptp.m1_subset_1 (tptp.f3_s13_funct_2 A) tptp.f2_s13_funct_2))) (exists ((A $$unsorted)) (and (tptp.v1_funct_1 A) (tptp.v1_funct_2 A tptp.f1_s13_funct_2 tptp.f2_s13_funct_2) (tptp.m2_relset_1 A tptp.f1_s13_funct_2 tptp.f2_s13_funct_2) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.f1_s13_funct_2) (= (tptp.k8_funct_2 tptp.f1_s13_funct_2 tptp.f2_s13_funct_2 A B) (tptp.f3_s13_funct_2 B))))))) (=> (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.f1_s14_funct_2) (exists ((B $$unsorted)) (and (tptp.m1_subset_1 B tptp.f2_s14_funct_2) (tptp.p1_s14_funct_2 A B))))) (exists ((A $$unsorted)) (and (tptp.v1_funct_1 A) (tptp.v1_funct_2 A tptp.f1_s14_funct_2 tptp.f2_s14_funct_2) (tptp.m2_relset_1 A tptp.f1_s14_funct_2 tptp.f2_s14_funct_2) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.f1_s14_funct_2) (tptp.p1_s14_funct_2 B (tptp.k8_funct_2 tptp.f1_s14_funct_2 tptp.f2_s14_funct_2 A B))))))) true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C A B) (tptp.m1_relset_1 C A B)) (tptp.m1_subset_1 (tptp.k2_funct_2 A B C D) (tptp.k1_zfmisc_1 B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C A B) (tptp.m1_relset_1 C A B)) (= (tptp.k2_funct_2 A B C D) (tptp.k9_relat_1 C D)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.m1_relset_1 C A B)) (tptp.m1_subset_1 (tptp.k3_funct_2 A B C D) (tptp.k1_zfmisc_1 A)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.m1_relset_1 C A B)) (= (tptp.k3_funct_2 A B C D) (tptp.k10_relat_1 C D)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k4_funct_2 A B C))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B A A) (tptp.m1_relset_1 B A A) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C A A) (tptp.m1_relset_1 C A A)) (and (tptp.v1_funct_1 _let_1) (tptp.v1_funct_2 _let_1 A A) (tptp.m2_relset_1 _let_1 A A))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B A A) (tptp.m1_relset_1 B A A) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C A A) (tptp.m1_relset_1 C A A)) (= (tptp.k4_funct_2 A B C) (tptp.k5_relat_1 B C)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k5_funct_2 A B C))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B A A) (tptp.v3_funct_2 B A A) (tptp.m1_relset_1 B A A) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C A A) (tptp.v3_funct_2 C A A) (tptp.m1_relset_1 C A A)) (and (tptp.v1_funct_1 _let_1) (tptp.v1_funct_2 _let_1 A A) (tptp.v3_funct_2 _let_1 A A) (tptp.m2_relset_1 _let_1 A A))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B A A) (tptp.v3_funct_2 B A A) (tptp.m1_relset_1 B A A) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C A A) (tptp.v3_funct_2 C A A) (tptp.m1_relset_1 C A A)) (= (tptp.k5_funct_2 A B C) (tptp.k5_relat_1 B C)))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k6_funct_2 A B))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B A A) (tptp.v3_funct_2 B A A) (tptp.m1_relset_1 B A A)) (and (tptp.v1_funct_1 _let_1) (tptp.v1_funct_2 _let_1 A A) (tptp.v3_funct_2 _let_1 A A) (tptp.m2_relset_1 _let_1 A A))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B A A) (tptp.v3_funct_2 B A A) (tptp.m1_relset_1 B A A)) (= (tptp.k6_funct_2 A B) (tptp.k2_funct_1 B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (let ((_let_1 (tptp.k7_funct_2 A B C D E))) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.v1_funct_1 D) (tptp.v1_funct_2 D A B) (tptp.m1_relset_1 D A B) (tptp.v1_funct_1 E) (tptp.v1_funct_2 E B C) (tptp.m1_relset_1 E B C)) (and (tptp.v1_funct_1 _let_1) (tptp.v1_funct_2 _let_1 A C) (tptp.m2_relset_1 _let_1 A C))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.v1_funct_1 D) (tptp.v1_funct_2 D A B) (tptp.m1_relset_1 D A B) (tptp.v1_funct_1 E) (tptp.v1_funct_2 E B C) (tptp.m1_relset_1 E B C)) (= (tptp.k7_funct_2 A B C D E) (tptp.k5_relat_1 D E)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C A B) (tptp.m1_relset_1 C A B) (tptp.m1_subset_1 D A)) (tptp.m1_subset_1 (tptp.k8_funct_2 A B C D) B))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C A B) (tptp.m1_relset_1 C A B) (tptp.m1_subset_1 D A)) (= (tptp.k8_funct_2 A B C D) (tptp.k1_funct_1 C D)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k1_tarski C))) (let ((_let_2 (tptp.k2_zfmisc_1 (tptp.k1_tarski A) (tptp.k1_tarski B)))) (let ((_let_3 (tptp.k9_funct_2 A B C))) (and (tptp.v1_funct_1 _let_3) (tptp.v1_funct_2 _let_3 _let_2 _let_1) (tptp.m2_relset_1 _let_3 _let_2 _let_1)))))) true true true true true true true true (forall ((A $$unsorted) (B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (=> (not (tptp.v1_xboole_0 C)) (not (and (tptp.r2_hidden A (tptp.k2_zfmisc_1 B C)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D B) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E C) (not (= A (tptp.k4_tarski D E))))))))))))) true true (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k2_zfmisc_1 A B)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k2_zfmisc_1 A B)) (=> (and (= (tptp.k1_mcart_1 C) (tptp.k1_mcart_1 D)) (= (tptp.k2_mcart_1 C) (tptp.k2_mcart_1 D))) (= C D)))))))))) true true (forall ((A $$unsorted) (B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (=> (not (tptp.v1_xboole_0 C)) (forall ((D $$unsorted)) (=> (not (tptp.v1_xboole_0 D)) (= (tptp.r2_hidden A (tptp.k3_zfmisc_1 B C D)) (exists ((E $$unsorted)) (and (tptp.m1_subset_1 E B) (exists ((F $$unsorted)) (and (tptp.m1_subset_1 F C) (exists ((G $$unsorted)) (and (tptp.m1_subset_1 G D) (= A (tptp.k3_mcart_1 E F G))))))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (=> (not (tptp.v1_xboole_0 C)) (forall ((D $$unsorted)) (=> (not (tptp.v1_xboole_0 D)) (=> (forall ((E $$unsorted)) (= (tptp.r2_hidden E A) (exists ((F $$unsorted)) (and (tptp.m1_subset_1 F B) (exists ((G $$unsorted)) (and (tptp.m1_subset_1 G C) (exists ((H $$unsorted)) (and (tptp.m1_subset_1 H D) (= E (tptp.k3_mcart_1 F G H)))))))))) (= A (tptp.k3_zfmisc_1 B C D))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (=> (not (tptp.v1_xboole_0 C)) (forall ((D $$unsorted)) (=> (not (tptp.v1_xboole_0 D)) (= (= A (tptp.k3_zfmisc_1 B C D)) (forall ((E $$unsorted)) (= (tptp.r2_hidden E A) (exists ((F $$unsorted)) (and (tptp.m1_subset_1 F B) (exists ((G $$unsorted)) (and (tptp.m1_subset_1 G C) (exists ((H $$unsorted)) (and (tptp.m1_subset_1 H D) (= E (tptp.k3_mcart_1 F G H))))))))))))))))))) true true true true true true (forall ((A $$unsorted) (B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (=> (not (tptp.v1_xboole_0 C)) (forall ((D $$unsorted)) (=> (not (tptp.v1_xboole_0 D)) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.k3_zfmisc_1 B C D)) (= (= A (tptp.k5_mcart_1 B C D E)) (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F B) (forall ((G $$unsorted)) (=> (tptp.m1_subset_1 G C) (forall ((H $$unsorted)) (=> (tptp.m1_subset_1 H D) (=> (= E (tptp.k4_domain_1 B C D F G H)) (= A F))))))))))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (=> (not (tptp.v1_xboole_0 C)) (forall ((D $$unsorted)) (=> (not (tptp.v1_xboole_0 D)) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.k3_zfmisc_1 B C D)) (= (= A (tptp.k6_mcart_1 B C D E)) (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F B) (forall ((G $$unsorted)) (=> (tptp.m1_subset_1 G C) (forall ((H $$unsorted)) (=> (tptp.m1_subset_1 H D) (=> (= E (tptp.k4_domain_1 B C D F G H)) (= A G))))))))))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (=> (not (tptp.v1_xboole_0 C)) (forall ((D $$unsorted)) (=> (not (tptp.v1_xboole_0 D)) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.k3_zfmisc_1 B C D)) (= (= A (tptp.k7_mcart_1 B C D E)) (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F B) (forall ((G $$unsorted)) (=> (tptp.m1_subset_1 G C) (forall ((H $$unsorted)) (=> (tptp.m1_subset_1 H D) (=> (= E (tptp.k4_domain_1 B C D F G H)) (= A H))))))))))))))))) true (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (=> (not (tptp.v1_xboole_0 C)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k3_zfmisc_1 A B C)) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.k3_zfmisc_1 A B C)) (=> (and (= (tptp.k5_mcart_1 A B C D) (tptp.k5_mcart_1 A B C E)) (= (tptp.k6_mcart_1 A B C D) (tptp.k6_mcart_1 A B C E)) (= (tptp.k7_mcart_1 A B C D) (tptp.k7_mcart_1 A B C E))) (= D E)))))))))))) true true (forall ((A $$unsorted) (B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (=> (not (tptp.v1_xboole_0 C)) (forall ((D $$unsorted)) (=> (not (tptp.v1_xboole_0 D)) (forall ((E $$unsorted)) (=> (not (tptp.v1_xboole_0 E)) (= (tptp.r2_hidden A (tptp.k4_zfmisc_1 B C D E)) (exists ((F $$unsorted)) (and (tptp.m1_subset_1 F B) (exists ((G $$unsorted)) (and (tptp.m1_subset_1 G C) (exists ((H $$unsorted)) (and (tptp.m1_subset_1 H D) (exists ((I $$unsorted)) (and (tptp.m1_subset_1 I E) (= A (tptp.k4_mcart_1 F G H I))))))))))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (=> (not (tptp.v1_xboole_0 C)) (forall ((D $$unsorted)) (=> (not (tptp.v1_xboole_0 D)) (forall ((E $$unsorted)) (=> (not (tptp.v1_xboole_0 E)) (=> (forall ((F $$unsorted)) (= (tptp.r2_hidden F A) (exists ((G $$unsorted)) (and (tptp.m1_subset_1 G B) (exists ((H $$unsorted)) (and (tptp.m1_subset_1 H C) (exists ((I $$unsorted)) (and (tptp.m1_subset_1 I D) (exists ((J $$unsorted)) (and (tptp.m1_subset_1 J E) (= F (tptp.k4_mcart_1 G H I J)))))))))))) (= A (tptp.k4_zfmisc_1 B C D E))))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (=> (not (tptp.v1_xboole_0 C)) (forall ((D $$unsorted)) (=> (not (tptp.v1_xboole_0 D)) (forall ((E $$unsorted)) (=> (not (tptp.v1_xboole_0 E)) (= (= A (tptp.k4_zfmisc_1 B C D E)) (forall ((F $$unsorted)) (= (tptp.r2_hidden F A) (exists ((G $$unsorted)) (and (tptp.m1_subset_1 G B) (exists ((H $$unsorted)) (and (tptp.m1_subset_1 H C) (exists ((I $$unsorted)) (and (tptp.m1_subset_1 I D) (exists ((J $$unsorted)) (and (tptp.m1_subset_1 J E) (= F (tptp.k4_mcart_1 G H I J))))))))))))))))))))))) true true true true true true (forall ((A $$unsorted) (B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (=> (not (tptp.v1_xboole_0 C)) (forall ((D $$unsorted)) (=> (not (tptp.v1_xboole_0 D)) (forall ((E $$unsorted)) (=> (not (tptp.v1_xboole_0 E)) (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F (tptp.k4_zfmisc_1 B C D E)) (= (= A (tptp.k8_mcart_1 B C D E F)) (forall ((G $$unsorted)) (=> (tptp.m1_subset_1 G B) (forall ((H $$unsorted)) (=> (tptp.m1_subset_1 H C) (forall ((I $$unsorted)) (=> (tptp.m1_subset_1 I D) (forall ((J $$unsorted)) (=> (tptp.m1_subset_1 J E) (=> (= F (tptp.k5_domain_1 B C D E G H I J)) (= A G))))))))))))))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (=> (not (tptp.v1_xboole_0 C)) (forall ((D $$unsorted)) (=> (not (tptp.v1_xboole_0 D)) (forall ((E $$unsorted)) (=> (not (tptp.v1_xboole_0 E)) (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F (tptp.k4_zfmisc_1 B C D E)) (= (= A (tptp.k9_mcart_1 B C D E F)) (forall ((G $$unsorted)) (=> (tptp.m1_subset_1 G B) (forall ((H $$unsorted)) (=> (tptp.m1_subset_1 H C) (forall ((I $$unsorted)) (=> (tptp.m1_subset_1 I D) (forall ((J $$unsorted)) (=> (tptp.m1_subset_1 J E) (=> (= F (tptp.k5_domain_1 B C D E G H I J)) (= A H))))))))))))))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (=> (not (tptp.v1_xboole_0 C)) (forall ((D $$unsorted)) (=> (not (tptp.v1_xboole_0 D)) (forall ((E $$unsorted)) (=> (not (tptp.v1_xboole_0 E)) (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F (tptp.k4_zfmisc_1 B C D E)) (= (= A (tptp.k10_mcart_1 B C D E F)) (forall ((G $$unsorted)) (=> (tptp.m1_subset_1 G B) (forall ((H $$unsorted)) (=> (tptp.m1_subset_1 H C) (forall ((I $$unsorted)) (=> (tptp.m1_subset_1 I D) (forall ((J $$unsorted)) (=> (tptp.m1_subset_1 J E) (=> (= F (tptp.k5_domain_1 B C D E G H I J)) (= A I))))))))))))))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (=> (not (tptp.v1_xboole_0 C)) (forall ((D $$unsorted)) (=> (not (tptp.v1_xboole_0 D)) (forall ((E $$unsorted)) (=> (not (tptp.v1_xboole_0 E)) (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F (tptp.k4_zfmisc_1 B C D E)) (= (= A (tptp.k11_mcart_1 B C D E F)) (forall ((G $$unsorted)) (=> (tptp.m1_subset_1 G B) (forall ((H $$unsorted)) (=> (tptp.m1_subset_1 H C) (forall ((I $$unsorted)) (=> (tptp.m1_subset_1 I D) (forall ((J $$unsorted)) (=> (tptp.m1_subset_1 J E) (=> (= F (tptp.k5_domain_1 B C D E G H I J)) (= A J))))))))))))))))))))) true (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (=> (not (tptp.v1_xboole_0 C)) (forall ((D $$unsorted)) (=> (not (tptp.v1_xboole_0 D)) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.k4_zfmisc_1 A B C D)) (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F (tptp.k4_zfmisc_1 A B C D)) (=> (and (= (tptp.k8_mcart_1 A B C D E) (tptp.k8_mcart_1 A B C D F)) (= (tptp.k9_mcart_1 A B C D E) (tptp.k9_mcart_1 A B C D F)) (= (tptp.k10_mcart_1 A B C D E) (tptp.k10_mcart_1 A B C D F)) (= (tptp.k11_mcart_1 A B C D E) (tptp.k11_mcart_1 A B C D F))) (= E F)))))))))))))) true true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (not (tptp.v1_xboole_0 B)) (tptp.m1_subset_1 C A) (tptp.m1_subset_1 D B)) (tptp.m1_subset_1 (tptp.k1_domain_1 A B C D) (tptp.k2_zfmisc_1 A B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (not (tptp.v1_xboole_0 B)) (tptp.m1_subset_1 C A) (tptp.m1_subset_1 D B)) (= (tptp.k1_domain_1 A B C D) (tptp.k4_tarski C D)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (not (tptp.v1_xboole_0 B)) (tptp.m1_subset_1 C (tptp.k2_zfmisc_1 A B))) (tptp.m1_subset_1 (tptp.k2_domain_1 A B C) A))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (not (tptp.v1_xboole_0 B)) (tptp.m1_subset_1 C (tptp.k2_zfmisc_1 A B))) (= (tptp.k2_domain_1 A B C) (tptp.k1_mcart_1 C)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (not (tptp.v1_xboole_0 B)) (tptp.m1_subset_1 C (tptp.k2_zfmisc_1 A B))) (tptp.m1_subset_1 (tptp.k3_domain_1 A B C) B))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (not (tptp.v1_xboole_0 B)) (tptp.m1_subset_1 C (tptp.k2_zfmisc_1 A B))) (= (tptp.k3_domain_1 A B C) (tptp.k2_mcart_1 C)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (not (tptp.v1_xboole_0 B)) (not (tptp.v1_xboole_0 C)) (tptp.m1_subset_1 D A) (tptp.m1_subset_1 E B) (tptp.m1_subset_1 F C)) (tptp.m1_subset_1 (tptp.k4_domain_1 A B C D E F) (tptp.k3_zfmisc_1 A B C)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (not (tptp.v1_xboole_0 B)) (not (tptp.v1_xboole_0 C)) (tptp.m1_subset_1 D A) (tptp.m1_subset_1 E B) (tptp.m1_subset_1 F C)) (= (tptp.k4_domain_1 A B C D E F) (tptp.k3_mcart_1 D E F)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted) (G $$unsorted) (H $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (not (tptp.v1_xboole_0 B)) (not (tptp.v1_xboole_0 C)) (not (tptp.v1_xboole_0 D)) (tptp.m1_subset_1 E A) (tptp.m1_subset_1 F B) (tptp.m1_subset_1 G C) (tptp.m1_subset_1 H D)) (tptp.m1_subset_1 (tptp.k5_domain_1 A B C D E F G H) (tptp.k4_zfmisc_1 A B C D)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted) (G $$unsorted) (H $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (not (tptp.v1_xboole_0 B)) (not (tptp.v1_xboole_0 C)) (not (tptp.v1_xboole_0 D)) (tptp.m1_subset_1 E A) (tptp.m1_subset_1 F B) (tptp.m1_subset_1 G C) (tptp.m1_subset_1 H D)) (= (tptp.k5_domain_1 A B C D E F G H) (tptp.k4_mcart_1 E F G H)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.m1_subset_1 B A)) (tptp.m1_subset_1 (tptp.k6_domain_1 A B) (tptp.k1_zfmisc_1 A)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.m1_subset_1 B A)) (= (tptp.k6_domain_1 A B) (tptp.k1_tarski B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.m1_subset_1 B A) (tptp.m1_subset_1 C A)) (tptp.m1_subset_1 (tptp.k7_domain_1 A B C) (tptp.k1_zfmisc_1 A)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.m1_subset_1 B A) (tptp.m1_subset_1 C A)) (= (tptp.k7_domain_1 A B C) (tptp.k7_domain_1 A C B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.m1_subset_1 B A) (tptp.m1_subset_1 C A)) (= (tptp.k7_domain_1 A B C) (tptp.k2_tarski B C)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.m1_subset_1 B A) (tptp.m1_subset_1 C A) (tptp.m1_subset_1 D A)) (tptp.m1_subset_1 (tptp.k8_domain_1 A B C D) (tptp.k1_zfmisc_1 A)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.m1_subset_1 B A) (tptp.m1_subset_1 C A) (tptp.m1_subset_1 D A)) (= (tptp.k8_domain_1 A B C D) (tptp.k1_enumset1 B C D)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.m1_subset_1 B A) (tptp.m1_subset_1 C A) (tptp.m1_subset_1 D A) (tptp.m1_subset_1 E A)) (tptp.m1_subset_1 (tptp.k9_domain_1 A B C D E) (tptp.k1_zfmisc_1 A)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.m1_subset_1 B A) (tptp.m1_subset_1 C A) (tptp.m1_subset_1 D A) (tptp.m1_subset_1 E A)) (= (tptp.k9_domain_1 A B C D E) (tptp.k2_enumset1 B C D E)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.m1_subset_1 B A) (tptp.m1_subset_1 C A) (tptp.m1_subset_1 D A) (tptp.m1_subset_1 E A) (tptp.m1_subset_1 F A)) (tptp.m1_subset_1 (tptp.k10_domain_1 A B C D E F) (tptp.k1_zfmisc_1 A)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.m1_subset_1 B A) (tptp.m1_subset_1 C A) (tptp.m1_subset_1 D A) (tptp.m1_subset_1 E A) (tptp.m1_subset_1 F A)) (= (tptp.k10_domain_1 A B C D E F) (tptp.k3_enumset1 B C D E F)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted) (G $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.m1_subset_1 B A) (tptp.m1_subset_1 C A) (tptp.m1_subset_1 D A) (tptp.m1_subset_1 E A) (tptp.m1_subset_1 F A) (tptp.m1_subset_1 G A)) (tptp.m1_subset_1 (tptp.k11_domain_1 A B C D E F G) (tptp.k1_zfmisc_1 A)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted) (G $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.m1_subset_1 B A) (tptp.m1_subset_1 C A) (tptp.m1_subset_1 D A) (tptp.m1_subset_1 E A) (tptp.m1_subset_1 F A) (tptp.m1_subset_1 G A)) (= (tptp.k11_domain_1 A B C D E F G) (tptp.k4_enumset1 B C D E F G)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted) (G $$unsorted) (H $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.m1_subset_1 B A) (tptp.m1_subset_1 C A) (tptp.m1_subset_1 D A) (tptp.m1_subset_1 E A) (tptp.m1_subset_1 F A) (tptp.m1_subset_1 G A) (tptp.m1_subset_1 H A)) (tptp.m1_subset_1 (tptp.k12_domain_1 A B C D E F G H) (tptp.k1_zfmisc_1 A)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted) (G $$unsorted) (H $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.m1_subset_1 B A) (tptp.m1_subset_1 C A) (tptp.m1_subset_1 D A) (tptp.m1_subset_1 E A) (tptp.m1_subset_1 F A) (tptp.m1_subset_1 G A) (tptp.m1_subset_1 H A)) (= (tptp.k12_domain_1 A B C D E F G H) (tptp.k5_enumset1 B C D E F G H)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted) (G $$unsorted) (H $$unsorted) (I $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.m1_subset_1 B A) (tptp.m1_subset_1 C A) (tptp.m1_subset_1 D A) (tptp.m1_subset_1 E A) (tptp.m1_subset_1 F A) (tptp.m1_subset_1 G A) (tptp.m1_subset_1 H A) (tptp.m1_subset_1 I A)) (tptp.m1_subset_1 (tptp.k13_domain_1 A B C D E F G H I) (tptp.k1_zfmisc_1 A)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted) (G $$unsorted) (H $$unsorted) (I $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.m1_subset_1 B A) (tptp.m1_subset_1 C A) (tptp.m1_subset_1 D A) (tptp.m1_subset_1 E A) (tptp.m1_subset_1 F A) (tptp.m1_subset_1 G A) (tptp.m1_subset_1 H A) (tptp.m1_subset_1 I A)) (= (tptp.k13_domain_1 A B C D E F G H I) (tptp.k6_enumset1 B C D E F G H I)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (not (tptp.v1_xboole_0 B)) (not (tptp.v1_xboole_0 C)) (tptp.m1_subset_1 D (tptp.k2_zfmisc_1 (tptp.k2_zfmisc_1 A B) C))) (tptp.m1_subset_1 (tptp.k14_domain_1 A B C D) A))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (not (tptp.v1_xboole_0 B)) (not (tptp.v1_xboole_0 C)) (tptp.m1_subset_1 D (tptp.k2_zfmisc_1 (tptp.k2_zfmisc_1 A B) C))) (= (tptp.k14_domain_1 A B C D) (tptp.k17_mcart_1 D)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (not (tptp.v1_xboole_0 B)) (not (tptp.v1_xboole_0 C)) (tptp.m1_subset_1 D (tptp.k2_zfmisc_1 (tptp.k2_zfmisc_1 A B) C))) (tptp.m1_subset_1 (tptp.k15_domain_1 A B C D) B))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (not (tptp.v1_xboole_0 B)) (not (tptp.v1_xboole_0 C)) (tptp.m1_subset_1 D (tptp.k2_zfmisc_1 (tptp.k2_zfmisc_1 A B) C))) (= (tptp.k15_domain_1 A B C D) (tptp.k18_mcart_1 D)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (not (tptp.v1_xboole_0 B)) (not (tptp.v1_xboole_0 C)) (tptp.m1_subset_1 D (tptp.k2_zfmisc_1 A (tptp.k2_zfmisc_1 B C)))) (tptp.m1_subset_1 (tptp.k16_domain_1 A B C D) B))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (not (tptp.v1_xboole_0 B)) (not (tptp.v1_xboole_0 C)) (tptp.m1_subset_1 D (tptp.k2_zfmisc_1 A (tptp.k2_zfmisc_1 B C)))) (= (tptp.k16_domain_1 A B C D) (tptp.k19_mcart_1 D)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (not (tptp.v1_xboole_0 B)) (not (tptp.v1_xboole_0 C)) (tptp.m1_subset_1 D (tptp.k2_zfmisc_1 A (tptp.k2_zfmisc_1 B C)))) (tptp.m1_subset_1 (tptp.k17_domain_1 A B C D) C))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (not (tptp.v1_xboole_0 B)) (not (tptp.v1_xboole_0 C)) (tptp.m1_subset_1 D (tptp.k2_zfmisc_1 A (tptp.k2_zfmisc_1 B C)))) (= (tptp.k17_domain_1 A B C D) (tptp.k20_mcart_1 D)))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (= A (tptp.a_1_0_domain_1 A)))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (= (tptp.k2_zfmisc_1 A B) (tptp.a_2_0_domain_1 A B)))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (=> (not (tptp.v1_xboole_0 C)) (= (tptp.k3_zfmisc_1 A B C) (tptp.a_3_0_domain_1 A B C)))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (=> (not (tptp.v1_xboole_0 C)) (forall ((D $$unsorted)) (=> (not (tptp.v1_xboole_0 D)) (= (tptp.k4_zfmisc_1 A B C D) (tptp.a_4_0_domain_1 A B C D)))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (= B (tptp.a_2_1_domain_1 A B)))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 B)) (= (tptp.k12_mcart_1 A B C D) (tptp.a_4_1_domain_1 A B C D)))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (=> (not (tptp.v1_xboole_0 C)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 A)) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.k1_zfmisc_1 B)) (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F (tptp.k1_zfmisc_1 C)) (= (tptp.k13_mcart_1 A B C D E F) (tptp.a_6_0_domain_1 A B C D E F)))))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (=> (not (tptp.v1_xboole_0 C)) (forall ((D $$unsorted)) (=> (not (tptp.v1_xboole_0 D)) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.k1_zfmisc_1 A)) (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F (tptp.k1_zfmisc_1 B)) (forall ((G $$unsorted)) (=> (tptp.m1_subset_1 G (tptp.k1_zfmisc_1 C)) (forall ((H $$unsorted)) (=> (tptp.m1_subset_1 H (tptp.k1_zfmisc_1 D)) (= (tptp.k14_mcart_1 A B C D E F G H) (tptp.a_8_0_domain_1 A B C D E F G H)))))))))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (= (tptp.k1_subset_1 A) (tptp.a_1_1_domain_1 A)))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (= (tptp.k3_subset_1 A B) (tptp.a_2_2_domain_1 A B)))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 A)) (= (tptp.k5_subset_1 A B C) (tptp.a_3_1_domain_1 A B C)))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 A)) (= (tptp.k4_subset_1 A B C) (tptp.a_3_2_domain_1 A B C)))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 A)) (= (tptp.k6_subset_1 A B C) (tptp.a_3_3_domain_1 A B C)))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 A)) (= (tptp.k7_subset_1 A B C) (tptp.a_3_4_domain_1 A B C)))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 A)) (= (tptp.k7_subset_1 A B C) (tptp.a_3_5_domain_1 A B C)))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 A)) (= (tptp.k7_subset_1 A B C) (tptp.a_3_6_domain_1 A B C)))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 A)) (= (tptp.k7_subset_1 A B C) (tptp.a_3_7_domain_1 A B C)))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (tptp.m1_subset_1 (tptp.a_1_2_domain_1 A) (tptp.k1_zfmisc_1 A)))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (tptp.m1_subset_1 (tptp.a_2_3_domain_1 A B) (tptp.k1_zfmisc_1 (tptp.k2_zfmisc_1 A B))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (=> (not (tptp.v1_xboole_0 C)) (tptp.m1_subset_1 (tptp.a_3_8_domain_1 A B C) (tptp.k1_zfmisc_1 (tptp.k3_zfmisc_1 A B C))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (=> (not (tptp.v1_xboole_0 C)) (forall ((D $$unsorted)) (=> (not (tptp.v1_xboole_0 D)) (tptp.m1_subset_1 (tptp.a_4_2_domain_1 A B C D) (tptp.k1_zfmisc_1 (tptp.k4_zfmisc_1 A B C D))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (=> (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B A) (=> (tptp.p1_s5_domain_1 B) (tptp.p2_s5_domain_1 B)))) (tptp.r1_tarski (tptp.a_1_3_domain_1 A) (tptp.a_1_4_domain_1 A))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (=> (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B A) (= (tptp.p1_s6_domain_1 B) (tptp.p2_s6_domain_1 B)))) (= (tptp.a_1_5_domain_1 A) (tptp.a_1_6_domain_1 A))))) (tptp.m1_subset_1 tptp.a_0_0_domain_1 (tptp.k1_zfmisc_1 tptp.f1_s7_domain_1)) (tptp.m1_subset_1 tptp.a_0_1_domain_1 (tptp.k1_zfmisc_1 tptp.f2_s8_domain_1)) (tptp.m1_subset_1 tptp.a_0_2_domain_1 (tptp.k1_zfmisc_1 tptp.f3_s9_domain_1)) (= tptp.a_0_3_domain_1 (tptp.k3_xboole_0 tptp.a_0_4_domain_1 tptp.a_0_5_domain_1)) (forall ((A $$unsorted) (B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (= (tptp.r2_hidden A (tptp.a_1_0_domain_1 B)) (exists ((C $$unsorted)) (and (tptp.m1_subset_1 C B) (= A C)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (not (tptp.v1_xboole_0 C))) (= (tptp.r2_hidden A (tptp.a_2_0_domain_1 B C)) (exists ((D $$unsorted) (E $$unsorted)) (and (tptp.m1_subset_1 D B) (tptp.m1_subset_1 E C) (= A (tptp.k1_domain_1 B C D E))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (not (tptp.v1_xboole_0 C)) (not (tptp.v1_xboole_0 D))) (= (tptp.r2_hidden A (tptp.a_3_0_domain_1 B C D)) (exists ((E $$unsorted) (F $$unsorted) (G $$unsorted)) (and (tptp.m1_subset_1 E B) (tptp.m1_subset_1 F C) (tptp.m1_subset_1 G D) (= A (tptp.k4_domain_1 B C D E F G))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (not (tptp.v1_xboole_0 C)) (not (tptp.v1_xboole_0 D)) (not (tptp.v1_xboole_0 E))) (= (tptp.r2_hidden A (tptp.a_4_0_domain_1 B C D E)) (exists ((F $$unsorted) (G $$unsorted) (H $$unsorted) (I $$unsorted)) (and (tptp.m1_subset_1 F B) (tptp.m1_subset_1 G C) (tptp.m1_subset_1 H D) (tptp.m1_subset_1 I E) (= A (tptp.k5_domain_1 B C D E F G H I))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 B))) (= (tptp.r2_hidden A (tptp.a_2_1_domain_1 B C)) (exists ((D $$unsorted)) (and (tptp.m1_subset_1 D B) (= A D) (tptp.r2_hidden D C)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (not (tptp.v1_xboole_0 C)) (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 B)) (tptp.m1_subset_1 E (tptp.k1_zfmisc_1 C))) (= (tptp.r2_hidden A (tptp.a_4_1_domain_1 B C D E)) (exists ((F $$unsorted) (G $$unsorted)) (and (tptp.m1_subset_1 F B) (tptp.m1_subset_1 G C) (= A (tptp.k1_domain_1 B C F G)) (tptp.r2_hidden F D) (tptp.r2_hidden G E)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted) (G $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (not (tptp.v1_xboole_0 C)) (not (tptp.v1_xboole_0 D)) (tptp.m1_subset_1 E (tptp.k1_zfmisc_1 B)) (tptp.m1_subset_1 F (tptp.k1_zfmisc_1 C)) (tptp.m1_subset_1 G (tptp.k1_zfmisc_1 D))) (= (tptp.r2_hidden A (tptp.a_6_0_domain_1 B C D E F G)) (exists ((H $$unsorted) (I $$unsorted) (J $$unsorted)) (and (tptp.m1_subset_1 H B) (tptp.m1_subset_1 I C) (tptp.m1_subset_1 J D) (= A (tptp.k4_domain_1 B C D H I J)) (tptp.r2_hidden H E) (tptp.r2_hidden I F) (tptp.r2_hidden J G)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted) (G $$unsorted) (H $$unsorted) (I $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (not (tptp.v1_xboole_0 C)) (not (tptp.v1_xboole_0 D)) (not (tptp.v1_xboole_0 E)) (tptp.m1_subset_1 F (tptp.k1_zfmisc_1 B)) (tptp.m1_subset_1 G (tptp.k1_zfmisc_1 C)) (tptp.m1_subset_1 H (tptp.k1_zfmisc_1 D)) (tptp.m1_subset_1 I (tptp.k1_zfmisc_1 E))) (= (tptp.r2_hidden A (tptp.a_8_0_domain_1 B C D E F G H I)) (exists ((J $$unsorted) (K $$unsorted) (L $$unsorted) (M $$unsorted)) (and (tptp.m1_subset_1 J B) (tptp.m1_subset_1 K C) (tptp.m1_subset_1 L D) (tptp.m1_subset_1 M E) (= A (tptp.k5_domain_1 B C D E J K L M)) (tptp.r2_hidden J F) (tptp.r2_hidden K G) (tptp.r2_hidden L H) (tptp.r2_hidden M I)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (= (tptp.r2_hidden A (tptp.a_1_1_domain_1 B)) (exists ((C $$unsorted)) (and (tptp.m1_subset_1 C B) (= A C) (not true)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 B))) (= (tptp.r2_hidden A (tptp.a_2_2_domain_1 B C)) (exists ((D $$unsorted)) (and (tptp.m1_subset_1 D B) (= A D) (not (tptp.r2_hidden D C))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 B))) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.m1_subset_1 C _let_1) (tptp.m1_subset_1 D _let_1)) (= (tptp.r2_hidden A (tptp.a_3_1_domain_1 B C D)) (exists ((E $$unsorted)) (and (tptp.m1_subset_1 E B) (= A E) (tptp.r2_hidden E C) (tptp.r2_hidden E D))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 B))) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.m1_subset_1 C _let_1) (tptp.m1_subset_1 D _let_1)) (= (tptp.r2_hidden A (tptp.a_3_2_domain_1 B C D)) (exists ((E $$unsorted)) (and (tptp.m1_subset_1 E B) (= A E) (or (tptp.r2_hidden E C) (tptp.r2_hidden E D)))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 B))) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.m1_subset_1 C _let_1) (tptp.m1_subset_1 D _let_1)) (= (tptp.r2_hidden A (tptp.a_3_3_domain_1 B C D)) (exists ((E $$unsorted)) (and (tptp.m1_subset_1 E B) (= A E) (tptp.r2_hidden E C) (not (tptp.r2_hidden E D)))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 B))) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.m1_subset_1 C _let_1) (tptp.m1_subset_1 D _let_1)) (= (tptp.r2_hidden A (tptp.a_3_4_domain_1 B C D)) (exists ((E $$unsorted)) (let ((_let_1 (tptp.r2_hidden E D))) (let ((_let_2 (tptp.r2_hidden E C))) (and (tptp.m1_subset_1 E B) (= A E) (or (and _let_2 (not _let_1)) (and (not _let_2) _let_1)))))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 B))) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.m1_subset_1 C _let_1) (tptp.m1_subset_1 D _let_1)) (= (tptp.r2_hidden A (tptp.a_3_5_domain_1 B C D)) (exists ((E $$unsorted)) (and (tptp.m1_subset_1 E B) (= A E) (= (not (tptp.r2_hidden E C)) (tptp.r2_hidden E D)))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 B))) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.m1_subset_1 C _let_1) (tptp.m1_subset_1 D _let_1)) (= (tptp.r2_hidden A (tptp.a_3_6_domain_1 B C D)) (exists ((E $$unsorted)) (and (tptp.m1_subset_1 E B) (= A E) (= (tptp.r2_hidden E C) (not (tptp.r2_hidden E D))))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 B))) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.m1_subset_1 C _let_1) (tptp.m1_subset_1 D _let_1)) (= (tptp.r2_hidden A (tptp.a_3_7_domain_1 B C D)) (exists ((E $$unsorted)) (and (tptp.m1_subset_1 E B) (= A E) (not (= (tptp.r2_hidden E C) (tptp.r2_hidden E D))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (= (tptp.r2_hidden A (tptp.a_1_2_domain_1 B)) (exists ((C $$unsorted)) (and (tptp.m1_subset_1 C B) (= A C) (tptp.p1_s1_domain_1 C)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (not (tptp.v1_xboole_0 C))) (= (tptp.r2_hidden A (tptp.a_2_3_domain_1 B C)) (exists ((D $$unsorted) (E $$unsorted)) (and (tptp.m1_subset_1 D B) (tptp.m1_subset_1 E C) (= A (tptp.k1_domain_1 B C D E)) (tptp.p1_s2_domain_1 D E)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (not (tptp.v1_xboole_0 C)) (not (tptp.v1_xboole_0 D))) (= (tptp.r2_hidden A (tptp.a_3_8_domain_1 B C D)) (exists ((E $$unsorted) (F $$unsorted) (G $$unsorted)) (and (tptp.m1_subset_1 E B) (tptp.m1_subset_1 F C) (tptp.m1_subset_1 G D) (= A (tptp.k4_domain_1 B C D E F G)) (tptp.p1_s3_domain_1 E F G)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (not (tptp.v1_xboole_0 C)) (not (tptp.v1_xboole_0 D)) (not (tptp.v1_xboole_0 E))) (= (tptp.r2_hidden A (tptp.a_4_2_domain_1 B C D E)) (exists ((F $$unsorted) (G $$unsorted) (H $$unsorted) (I $$unsorted)) (and (tptp.m1_subset_1 F B) (tptp.m1_subset_1 G C) (tptp.m1_subset_1 H D) (tptp.m1_subset_1 I E) (= A (tptp.k5_domain_1 B C D E F G H I)) (tptp.p1_s4_domain_1 F G H I)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (= (tptp.r2_hidden A (tptp.a_1_3_domain_1 B)) (exists ((C $$unsorted)) (and (tptp.m1_subset_1 C B) (= A C) (tptp.p1_s5_domain_1 C)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (= (tptp.r2_hidden A (tptp.a_1_4_domain_1 B)) (exists ((C $$unsorted)) (and (tptp.m1_subset_1 C B) (= A C) (tptp.p2_s5_domain_1 C)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (= (tptp.r2_hidden A (tptp.a_1_5_domain_1 B)) (exists ((C $$unsorted)) (and (tptp.m1_subset_1 C B) (= A C) (tptp.p1_s6_domain_1 C)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (= (tptp.r2_hidden A (tptp.a_1_6_domain_1 B)) (exists ((C $$unsorted)) (and (tptp.m1_subset_1 C B) (= A C) (tptp.p2_s6_domain_1 C)))))) (forall ((A $$unsorted)) (= (tptp.r2_hidden A tptp.a_0_0_domain_1) (exists ((B $$unsorted)) (and (tptp.m1_subset_1 B tptp.f1_s7_domain_1) (= A B) (tptp.p1_s7_domain_1 B))))) (forall ((A $$unsorted)) (= (tptp.r2_hidden A tptp.a_0_1_domain_1) (exists ((B $$unsorted)) (and (tptp.m1_subset_1 B tptp.f1_s8_domain_1) (= A (tptp.f3_s8_domain_1 B)) (tptp.p1_s8_domain_1 B))))) (forall ((A $$unsorted)) (= (tptp.r2_hidden A tptp.a_0_2_domain_1) (exists ((B $$unsorted) (C $$unsorted)) (and (tptp.m1_subset_1 B tptp.f1_s9_domain_1) (tptp.m1_subset_1 C tptp.f2_s9_domain_1) (= A (tptp.f4_s9_domain_1 B C)) (tptp.p1_s9_domain_1 B C))))) (forall ((A $$unsorted)) (= (tptp.r2_hidden A tptp.a_0_3_domain_1) (exists ((B $$unsorted)) (and (tptp.m1_subset_1 B tptp.f1_s10_domain_1) (= A B) (tptp.p1_s10_domain_1 B) (tptp.p2_s10_domain_1 B))))) (forall ((A $$unsorted)) (= (tptp.r2_hidden A tptp.a_0_4_domain_1) (exists ((B $$unsorted)) (and (tptp.m1_subset_1 B tptp.f1_s10_domain_1) (= A B) (tptp.p1_s10_domain_1 B))))) (forall ((A $$unsorted)) (= (tptp.r2_hidden A tptp.a_0_5_domain_1) (exists ((B $$unsorted)) (and (tptp.m1_subset_1 B tptp.f1_s10_domain_1) (= A B) (tptp.p2_s10_domain_1 B))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 tptp.k1_xboole_0 tptp.k1_xboole_0))) (let ((_let_2 (tptp.v1_funct_2 A _let_1 tptp.k1_xboole_0))) (let ((_let_3 (tptp.v1_funct_1 A))) (=> (tptp.m1_relset_1 A _let_1 tptp.k1_xboole_0) (=> (and _let_3 _let_2) (and _let_3 (tptp.v1_xboole_0 A) _let_2 (tptp.v1_binop_1 A tptp.k1_xboole_0) (tptp.v2_binop_1 A tptp.k1_xboole_0)))))))) (forall ((A $$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) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k4_funct_4 A B C D))) (and (tptp.v1_relat_1 _let_1) (tptp.v1_funct_1 _let_1)))) (forall ((A $$unsorted)) (not (and (forall ((B $$unsorted)) (not (and (tptp.r2_hidden B A) (forall ((C $$unsorted) (D $$unsorted)) (not (= B (tptp.k4_tarski C D))))))) (forall ((B $$unsorted) (C $$unsorted)) (not (tptp.r1_tarski A (tptp.k2_zfmisc_1 B C))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (= (tptp.k5_relat_1 B A) (tptp.k5_relat_1 B (tptp.k7_relat_1 A (tptp.k2_relat_1 B)))))))) true (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.r1_tarski (tptp.k6_partfun1 A) (tptp.k6_partfun1 B)) (tptp.r1_tarski A B))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.r1_tarski A B) (tptp.r1_tarski (tptp.k2_funcop_1 A C) (tptp.k2_funcop_1 B C)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (tptp.r1_tarski (tptp.k2_funcop_1 A B) (tptp.k2_funcop_1 C D)) (tptp.r1_tarski A C))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (tptp.r1_tarski (tptp.k2_funcop_1 A B) (tptp.k2_funcop_1 C D)) (or (= A tptp.k1_xboole_0) (= B D)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (=> (tptp.r2_hidden A (tptp.k1_relat_1 B)) (tptp.r1_tarski (tptp.k2_funcop_1 (tptp.k1_tarski A) (tptp.k1_funct_1 B A)) B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (tptp.r1_tarski (tptp.k7_relat_1 (tptp.k8_relat_1 A C) B) C))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (forall ((D $$unsorted)) (=> (and (tptp.v1_relat_1 D) (tptp.v1_funct_1 D)) (=> (tptp.r1_tarski C D) (tptp.r1_tarski (tptp.k7_relat_1 (tptp.k8_relat_1 A C) B) (tptp.k7_relat_1 (tptp.k8_relat_1 A D) B))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (forall ((C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (= (= C (tptp.k1_funct_4 A B)) (and (= (tptp.k1_relat_1 C) (tptp.k2_xboole_0 (tptp.k1_relat_1 A) (tptp.k1_relat_1 B))) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k1_funct_1 C D))) (let ((_let_2 (tptp.k1_relat_1 B))) (let ((_let_3 (tptp.r2_hidden D _let_2))) (=> (tptp.r2_hidden D (tptp.k2_xboole_0 (tptp.k1_relat_1 A) _let_2)) (and (=> _let_3 (= _let_1 (tptp.k1_funct_1 B D))) (=> (not _let_3) (= _let_1 (tptp.k1_funct_1 A D))))))))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k1_relat_1 (tptp.k1_funct_4 A B)))) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (and (tptp.r1_tarski (tptp.k1_relat_1 A) _let_1) (tptp.r1_tarski (tptp.k1_relat_1 B) _let_1))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (forall ((C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (=> (not (tptp.r2_hidden A (tptp.k1_relat_1 B))) (= (tptp.k1_funct_1 (tptp.k1_funct_4 C B) A) (tptp.k1_funct_1 C A))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (forall ((C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (= (tptp.r2_hidden A (tptp.k1_relat_1 (tptp.k1_funct_4 B C))) (or (tptp.r2_hidden A (tptp.k1_relat_1 B)) (tptp.r2_hidden A (tptp.k1_relat_1 C)))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (forall ((C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (=> (tptp.r2_hidden A (tptp.k1_relat_1 B)) (= (tptp.k1_funct_1 (tptp.k1_funct_4 C B) A) (tptp.k1_funct_1 B A))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (forall ((C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (= (tptp.k1_funct_4 (tptp.k1_funct_4 A B) C) (tptp.k1_funct_4 A (tptp.k1_funct_4 B C))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (forall ((C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (=> (and (tptp.r1_partfun1 B C) (tptp.r2_hidden A (tptp.k1_relat_1 B))) (= (tptp.k1_funct_1 (tptp.k1_funct_4 B C) A) (tptp.k1_funct_1 B A))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k1_relat_1 B))) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (=> (and (tptp.r1_xboole_0 _let_1 (tptp.k1_relat_1 C)) (tptp.r2_hidden A _let_1)) (= (tptp.k1_funct_1 (tptp.k1_funct_4 B C) A) (tptp.k1_funct_1 B A)))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (tptp.r1_tarski (tptp.k2_relat_1 (tptp.k1_funct_4 A B)) (tptp.k2_xboole_0 (tptp.k2_relat_1 A) (tptp.k2_relat_1 B))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (tptp.r1_tarski (tptp.k2_relat_1 A) (tptp.k2_relat_1 (tptp.k1_funct_4 B A))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (=> (tptp.r1_tarski (tptp.k1_relat_1 A) (tptp.k1_relat_1 B)) (= (tptp.k1_funct_4 A B) B)))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (= (tptp.k1_funct_4 tptp.k1_xboole_0 A) A))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (= (tptp.k1_funct_4 A tptp.k1_xboole_0) A))) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.k1_funct_4 (tptp.k6_partfun1 A) (tptp.k6_partfun1 B)) (tptp.k6_partfun1 (tptp.k2_xboole_0 A B)))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (= (tptp.k7_relat_1 (tptp.k1_funct_4 A B) (tptp.k1_relat_1 B)) B))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (tptp.r1_tarski (tptp.k7_relat_1 (tptp.k1_funct_4 A B) (tptp.k4_xboole_0 (tptp.k1_relat_1 A) (tptp.k1_relat_1 B))) A))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (tptp.r1_tarski A (tptp.k1_funct_4 B A)))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (forall ((C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (=> (tptp.r1_partfun1 A (tptp.k1_funct_4 B C)) (tptp.r1_partfun1 (tptp.k7_relat_1 A (tptp.k4_xboole_0 (tptp.k1_relat_1 A) (tptp.k1_relat_1 C))) B)))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (forall ((C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (=> (tptp.r1_partfun1 A (tptp.k1_funct_4 B C)) (tptp.r1_partfun1 A C)))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (= (tptp.r1_partfun1 A B) (tptp.r1_tarski A (tptp.k1_funct_4 A B))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (tptp.r1_tarski (tptp.k1_funct_4 A B) (tptp.k2_xboole_0 A B)))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (= (tptp.r1_partfun1 A B) (= (tptp.k2_xboole_0 A B) (tptp.k1_funct_4 A B))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (=> (tptp.r1_xboole_0 (tptp.k1_relat_1 A) (tptp.k1_relat_1 B)) (= (tptp.k2_xboole_0 A B) (tptp.k1_funct_4 A B))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (=> (tptp.r1_xboole_0 (tptp.k1_relat_1 A) (tptp.k1_relat_1 B)) (tptp.r1_tarski A (tptp.k1_funct_4 A B))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k1_relat_1 A))) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (=> (tptp.r1_xboole_0 _let_1 (tptp.k1_relat_1 B)) (= (tptp.k7_relat_1 (tptp.k1_funct_4 A B) _let_1) A))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (= (tptp.r1_partfun1 A B) (= (tptp.k1_funct_4 A B) (tptp.k1_funct_4 B A))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (=> (tptp.r1_xboole_0 (tptp.k1_relat_1 A) (tptp.k1_relat_1 B)) (= (tptp.k1_funct_4 A B) (tptp.k1_funct_4 B A))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.m2_relset_1 C A B)) (forall ((D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.m2_relset_1 D A B)) (=> (tptp.v1_partfun1 D A B) (= (tptp.k1_funct_4 C D) D)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C A B) (tptp.m2_relset_1 C A B)) (forall ((D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D A B) (tptp.m2_relset_1 D A B)) (=> (=> (= B tptp.k1_xboole_0) (= A tptp.k1_xboole_0)) (= (tptp.k1_funct_4 C D) D)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B A A) (tptp.m2_relset_1 B A A)) (forall ((C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C A A) (tptp.m2_relset_1 C A A)) (= (tptp.k1_funct_4 B C) C))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C A B) (tptp.m2_relset_1 C A B)) (forall ((D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D A B) (tptp.m2_relset_1 D A B)) (= (tptp.k1_funct_4 C D) D))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.m2_relset_1 C A B)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k1_funct_4 C D))) (=> (and (tptp.v1_funct_1 D) (tptp.m2_relset_1 D A B)) (and (tptp.v1_funct_1 _let_1) (tptp.m2_relset_1 _let_1 A B))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (= (= B (tptp.k2_funct_4 A)) (and (forall ((C $$unsorted)) (= (tptp.r2_hidden C (tptp.k1_relat_1 B)) (exists ((D $$unsorted) (E $$unsorted)) (and (= C (tptp.k4_tarski E D)) (tptp.r2_hidden (tptp.k4_tarski D E) (tptp.k1_relat_1 A)))))) (forall ((C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k4_tarski C D))) (=> (tptp.r2_hidden _let_1 (tptp.k1_relat_1 A)) (= (tptp.k1_funct_1 B (tptp.k4_tarski D C)) (tptp.k1_funct_1 A _let_1))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (tptp.r1_tarski (tptp.k2_relat_1 (tptp.k2_funct_4 A)) (tptp.k2_relat_1 A)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (= (tptp.r2_hidden (tptp.k4_tarski A B) (tptp.k1_relat_1 C)) (tptp.r2_hidden (tptp.k4_tarski B A) (tptp.k1_relat_1 (tptp.k2_funct_4 C)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k4_tarski A B))) (let ((_let_2 (tptp.k2_funct_4 C))) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (=> (tptp.r2_hidden _let_1 (tptp.k1_relat_1 _let_2)) (= (tptp.k1_funct_1 _let_2 _let_1) (tptp.k1_funct_1 C (tptp.k4_tarski B A)))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (exists ((B $$unsorted) (C $$unsorted)) (tptp.r1_tarski (tptp.k1_relat_1 (tptp.k2_funct_4 A)) (tptp.k2_zfmisc_1 B C))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (=> (tptp.r1_tarski (tptp.k1_relat_1 C) (tptp.k2_zfmisc_1 A B)) (tptp.r1_tarski (tptp.k1_relat_1 (tptp.k2_funct_4 C)) (tptp.k2_zfmisc_1 B A))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (=> (= (tptp.k1_relat_1 C) (tptp.k2_zfmisc_1 A B)) (= (tptp.k1_relat_1 (tptp.k2_funct_4 C)) (tptp.k2_zfmisc_1 B A))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (=> (tptp.r1_tarski (tptp.k1_relat_1 C) (tptp.k2_zfmisc_1 A B)) (= (tptp.k2_relat_1 (tptp.k2_funct_4 C)) (tptp.k2_relat_1 C))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k2_funct_4 D))) (=> (and (tptp.v1_funct_1 D) (tptp.m2_relset_1 D (tptp.k2_zfmisc_1 A B) C)) (and (tptp.v1_funct_1 _let_1) (tptp.m2_relset_1 _let_1 (tptp.k2_zfmisc_1 B A) C))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 B A))) (let ((_let_2 (tptp.k2_funct_4 D))) (let ((_let_3 (tptp.k2_zfmisc_1 A B))) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D _let_3 C) (tptp.m2_relset_1 D _let_3 C)) (=> (not (= C tptp.k1_xboole_0)) (and (tptp.v1_funct_1 _let_2) (tptp.v1_funct_2 _let_2 _let_1 C) (tptp.m2_relset_1 _let_2 _let_1 C)))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (not (tptp.v1_xboole_0 C)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 B A))) (let ((_let_2 (tptp.k2_funct_4 D))) (let ((_let_3 (tptp.k2_zfmisc_1 A B))) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D _let_3 C) (tptp.m2_relset_1 D _let_3 C)) (and (tptp.v1_funct_1 _let_2) (tptp.v1_funct_2 _let_2 _let_1 C) (tptp.m2_relset_1 _let_2 _let_1 C))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (tptp.r1_tarski (tptp.k2_funct_4 (tptp.k2_funct_4 A)) A))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (=> (tptp.r1_tarski (tptp.k1_relat_1 C) (tptp.k2_zfmisc_1 A B)) (= (tptp.k2_funct_4 (tptp.k2_funct_4 C)) C)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.m2_relset_1 D (tptp.k2_zfmisc_1 A B) C)) (= (tptp.k2_funct_4 (tptp.k2_funct_4 D)) D))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A B))) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D _let_1 C) (tptp.m2_relset_1 D _let_1 C)) (=> (not (= C tptp.k1_xboole_0)) (= (tptp.k2_funct_4 (tptp.k2_funct_4 D)) D))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (not (tptp.v1_xboole_0 C)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A B))) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D _let_1 C) (tptp.m2_relset_1 D _let_1 C)) (= (tptp.k2_funct_4 (tptp.k2_funct_4 D)) D)))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (forall ((C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (= (= C (tptp.k3_funct_4 A B)) (and (forall ((D $$unsorted)) (= (tptp.r2_hidden D (tptp.k1_relat_1 C)) (exists ((E $$unsorted) (F $$unsorted) (G $$unsorted) (H $$unsorted)) (and (= D (tptp.k4_tarski (tptp.k4_tarski E G) (tptp.k4_tarski F H))) (tptp.r2_hidden (tptp.k4_tarski E F) (tptp.k1_relat_1 A)) (tptp.r2_hidden (tptp.k4_tarski G H) (tptp.k1_relat_1 B)))))) (forall ((D $$unsorted) (E $$unsorted) (F $$unsorted) (G $$unsorted)) (let ((_let_1 (tptp.k4_tarski F G))) (let ((_let_2 (tptp.k4_tarski D E))) (=> (and (tptp.r2_hidden _let_2 (tptp.k1_relat_1 A)) (tptp.r2_hidden _let_1 (tptp.k1_relat_1 B))) (= (tptp.k1_funct_1 C (tptp.k4_tarski (tptp.k4_tarski D F) (tptp.k4_tarski E G))) (tptp.k4_tarski (tptp.k1_funct_1 A _let_2) (tptp.k1_funct_1 B _let_1))))))))))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (=> (and (tptp.v1_relat_1 E) (tptp.v1_funct_1 E)) (forall ((F $$unsorted)) (=> (and (tptp.v1_relat_1 F) (tptp.v1_funct_1 F)) (= (tptp.r2_hidden (tptp.k4_tarski (tptp.k4_tarski A B) (tptp.k4_tarski C D)) (tptp.k1_relat_1 (tptp.k3_funct_4 E F))) (and (tptp.r2_hidden (tptp.k4_tarski A C) (tptp.k1_relat_1 E)) (tptp.r2_hidden (tptp.k4_tarski B D) (tptp.k1_relat_1 F)))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (=> (and (tptp.v1_relat_1 E) (tptp.v1_funct_1 E)) (forall ((F $$unsorted)) (let ((_let_1 (tptp.k4_tarski (tptp.k4_tarski A B) (tptp.k4_tarski C D)))) (let ((_let_2 (tptp.k3_funct_4 E F))) (=> (and (tptp.v1_relat_1 F) (tptp.v1_funct_1 F)) (=> (tptp.r2_hidden _let_1 (tptp.k1_relat_1 _let_2)) (= (tptp.k1_funct_1 _let_2 _let_1) (tptp.k4_tarski (tptp.k1_funct_1 E (tptp.k4_tarski A C)) (tptp.k1_funct_1 F (tptp.k4_tarski B D))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (tptp.r1_tarski (tptp.k2_relat_1 (tptp.k3_funct_4 A B)) (tptp.k2_zfmisc_1 (tptp.k2_relat_1 A) (tptp.k2_relat_1 B))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (=> (and (tptp.v1_relat_1 E) (tptp.v1_funct_1 E)) (forall ((F $$unsorted)) (=> (and (tptp.v1_relat_1 F) (tptp.v1_funct_1 F)) (=> (and (tptp.r1_tarski (tptp.k1_relat_1 E) (tptp.k2_zfmisc_1 A B)) (tptp.r1_tarski (tptp.k1_relat_1 F) (tptp.k2_zfmisc_1 C D))) (tptp.r1_tarski (tptp.k1_relat_1 (tptp.k3_funct_4 E F)) (tptp.k2_zfmisc_1 (tptp.k2_zfmisc_1 A C) (tptp.k2_zfmisc_1 B D)))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (=> (and (tptp.v1_relat_1 E) (tptp.v1_funct_1 E)) (forall ((F $$unsorted)) (=> (and (tptp.v1_relat_1 F) (tptp.v1_funct_1 F)) (=> (and (= (tptp.k1_relat_1 E) (tptp.k2_zfmisc_1 A B)) (= (tptp.k1_relat_1 F) (tptp.k2_zfmisc_1 C D))) (= (tptp.k1_relat_1 (tptp.k3_funct_4 E F)) (tptp.k2_zfmisc_1 (tptp.k2_zfmisc_1 A C) (tptp.k2_zfmisc_1 B D)))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted) (G $$unsorted)) (=> (and (tptp.v1_funct_1 G) (tptp.m2_relset_1 G (tptp.k2_zfmisc_1 A B) C)) (forall ((H $$unsorted)) (let ((_let_1 (tptp.k3_funct_4 G H))) (=> (and (tptp.v1_funct_1 H) (tptp.m2_relset_1 H (tptp.k2_zfmisc_1 D E) F)) (and (tptp.v1_funct_1 _let_1) (tptp.m2_relset_1 _let_1 (tptp.k2_zfmisc_1 (tptp.k2_zfmisc_1 A D) (tptp.k2_zfmisc_1 B E)) (tptp.k2_zfmisc_1 C F)))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted) (G $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A B))) (=> (and (tptp.v1_funct_1 G) (tptp.v1_funct_2 G _let_1 C) (tptp.m2_relset_1 G _let_1 C)) (forall ((H $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 C F))) (let ((_let_2 (tptp.k2_zfmisc_1 (tptp.k2_zfmisc_1 A D) (tptp.k2_zfmisc_1 B E)))) (let ((_let_3 (tptp.k3_funct_4 G H))) (let ((_let_4 (tptp.k2_zfmisc_1 D E))) (=> (and (tptp.v1_funct_1 H) (tptp.v1_funct_2 H _let_4 F) (tptp.m2_relset_1 H _let_4 F)) (not (and (not (= C tptp.k1_xboole_0)) (not (= F tptp.k1_xboole_0)) (not (and (tptp.v1_funct_1 _let_3) (tptp.v1_funct_2 _let_3 _let_2 _let_1) (tptp.m2_relset_1 _let_3 _let_2 _let_1)))))))))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (=> (not (tptp.v1_xboole_0 E)) (forall ((F $$unsorted)) (=> (not (tptp.v1_xboole_0 F)) (forall ((G $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A B))) (=> (and (tptp.v1_funct_1 G) (tptp.v1_funct_2 G _let_1 E) (tptp.m2_relset_1 G _let_1 E)) (forall ((H $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 E F))) (let ((_let_2 (tptp.k2_zfmisc_1 (tptp.k2_zfmisc_1 A C) (tptp.k2_zfmisc_1 B D)))) (let ((_let_3 (tptp.k3_funct_4 G H))) (let ((_let_4 (tptp.k2_zfmisc_1 C D))) (=> (and (tptp.v1_funct_1 H) (tptp.v1_funct_2 H _let_4 F) (tptp.m2_relset_1 H _let_4 F)) (and (tptp.v1_funct_1 _let_3) (tptp.v1_funct_2 _let_3 _let_2 _let_1) (tptp.m2_relset_1 _let_3 _let_2 _let_1))))))))))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (= (tptp.k4_funct_4 A B C D) (tptp.k1_funct_4 (tptp.k2_funcop_1 (tptp.k1_tarski A) C) (tptp.k2_funcop_1 (tptp.k1_tarski B) D)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k4_funct_4 A B C D))) (and (= (tptp.k1_relat_1 _let_1) (tptp.k2_tarski A B)) (tptp.r1_tarski (tptp.k2_relat_1 _let_1) (tptp.k2_tarski C D))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k4_funct_4 A B C D))) (=> (not (= A B)) (and (= (tptp.k1_funct_1 _let_1 A) C) (= (tptp.k1_funct_1 _let_1 B) D))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (not (= A B)) (= (tptp.k2_relat_1 (tptp.k4_funct_4 A B C D)) (tptp.k2_tarski C D)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.k4_funct_4 A B C C) (tptp.k2_funcop_1 (tptp.k2_tarski A B) C))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (=> (and (tptp.v1_relat_1 E) (tptp.v1_funct_1 E)) (=> (and (= (tptp.k1_relat_1 E) (tptp.k2_tarski A B)) (= (tptp.k1_funct_1 E A) C) (= (tptp.k1_funct_1 E B) D)) (= E (tptp.k4_funct_4 A B C D))))) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.k2_funcop_1 (tptp.k1_tarski A) B) (tptp.k1_tarski (tptp.k4_tarski A B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (not (= A C)) (= (tptp.k4_funct_4 A C B D) (tptp.k2_tarski (tptp.k4_tarski A B) (tptp.k4_tarski C D))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted)) (=> (= (tptp.k4_funct_4 A B C D) (tptp.k4_funct_4 A B E F)) (or (= A B) (and (= C E) (= D F))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (forall ((C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (forall ((D $$unsorted)) (=> (and (tptp.v1_relat_1 D) (tptp.v1_funct_1 D)) (=> (and (tptp.r1_tarski (tptp.k2_relat_1 C) (tptp.k1_relat_1 A)) (tptp.r1_tarski (tptp.k2_relat_1 D) (tptp.k1_relat_1 B)) (tptp.r1_partfun1 A B)) (= (tptp.k5_relat_1 (tptp.k1_funct_4 C D) (tptp.k1_funct_4 A B)) (tptp.k1_funct_4 (tptp.k5_relat_1 C A) (tptp.k5_relat_1 D B)))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted) (C $$unsorted)) (=> (tptp.r1_tarski (tptp.k1_relat_1 A) (tptp.k2_xboole_0 B C)) (= (tptp.k1_funct_4 (tptp.k7_relat_1 A B) (tptp.k7_relat_1 A C)) A))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (forall ((C $$unsorted)) (= (tptp.k7_relat_1 (tptp.k1_funct_4 A B) C) (tptp.k1_funct_4 (tptp.k7_relat_1 A C) (tptp.k7_relat_1 B C)))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (forall ((C $$unsorted)) (=> (tptp.r1_xboole_0 C (tptp.k1_relat_1 B)) (= (tptp.k7_relat_1 (tptp.k1_funct_4 A B) C) (tptp.k7_relat_1 A C)))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (forall ((C $$unsorted)) (=> (tptp.r1_xboole_0 (tptp.k1_relat_1 A) C) (= (tptp.k7_relat_1 (tptp.k1_funct_4 A B) C) (tptp.k7_relat_1 B C)))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (forall ((C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (=> (= (tptp.k1_relat_1 B) (tptp.k1_relat_1 C)) (= (tptp.k1_funct_4 (tptp.k1_funct_4 A B) C) (tptp.k1_funct_4 A C))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (=> (tptp.r1_tarski A B) (and (= (tptp.k1_funct_4 A B) B) (= (tptp.k1_funct_4 B A) B))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted)) (= (tptp.k1_funct_4 A (tptp.k7_relat_1 A B)) A)))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (forall ((C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k1_funct_4 A B))) (=> (and (tptp.r1_tarski (tptp.k1_relat_1 A) C) (tptp.r1_tarski (tptp.k1_relat_1 B) D) (tptp.r1_xboole_0 C D)) (and (= (tptp.k7_relat_1 _let_1 C) A) (= (tptp.k7_relat_1 _let_1 D) B))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (forall ((C $$unsorted)) (=> (and (tptp.r1_tarski (tptp.k1_relat_1 A) C) (tptp.r1_xboole_0 (tptp.k1_relat_1 B) C)) (= (tptp.k7_relat_1 (tptp.k1_funct_4 A B) C) A))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted) (C $$unsorted)) (= (tptp.k7_relat_1 A (tptp.k2_xboole_0 B C)) (tptp.k1_funct_4 (tptp.k7_relat_1 A B) (tptp.k7_relat_1 A C)))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k1_funct_4 A B))) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (and (tptp.v1_relat_1 _let_1) (tptp.v1_funct_1 _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (= (tptp.k1_funct_4 A A) A))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k2_funct_4 A))) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (and (tptp.v1_relat_1 _let_1) (tptp.v1_funct_1 _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k3_funct_4 A B))) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (and (tptp.v1_relat_1 _let_1) (tptp.v1_funct_1 _let_1))))) true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (let ((_let_1 (tptp.k2_tarski B C))) (let ((_let_2 (tptp.k5_funct_4 A B C D E))) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.m1_subset_1 D A) (tptp.m1_subset_1 E A)) (and (tptp.v1_funct_1 _let_2) (tptp.v1_funct_2 _let_2 _let_1 A) (tptp.m2_relset_1 _let_2 _let_1 A)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.m1_subset_1 D A) (tptp.m1_subset_1 E A)) (= (tptp.k5_funct_4 A B C D E) (tptp.k4_funct_4 B C D E)))) (and (tptp.v1_ordinal1 tptp.k5_ordinal2) (tptp.v2_ordinal1 tptp.k5_ordinal2) (tptp.v3_ordinal1 tptp.k5_ordinal2) (not (tptp.v1_xboole_0 tptp.k5_ordinal2))) (exists ((A $$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_28 (= (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_28 (= (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_27) 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))) (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_26 tptp.k2_arytm_2)) _let_25)) (= tptp.k3_numbers (tptp.k4_xboole_0 (tptp.k2_xboole_0 tptp.k6_arytm_3 (tptp.k2_zfmisc_1 _let_26 tptp.k6_arytm_3)) _let_25)) (= tptp.k4_numbers (tptp.k4_xboole_0 (tptp.k2_xboole_0 tptp.k5_ordinal2 (tptp.k2_zfmisc_1 _let_26 tptp.k5_ordinal2)) _let_25)) (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 $$unsorted)) (=> (tptp.v3_ordinal1 D) (=> (and (tptp.r2_hidden D (tptp.k1_ordinal1 A)) (tptp.v4_ordinal1 D)) (or (= D tptp.k1_xboole_0) (= (tptp.k1_funct_1 C D) (tptp.k1_card_1 (tptp.k8_ordinal2 (tptp.k2_ordinal1 C D)))))))))))))) true (= _let_24 (tptp.k1_card_1 tptp.k5_numbers)) (forall ((A $$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_24 tptp.k5_ordinal2) (= _let_23 tptp.k5_ordinal2) (tptp.v2_card_1 _let_23) (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_22 _let_19 _let_21 _let_18 _let_20 (tptp.v1_finset_1 tptp.k1_xboole_0) _let_17) (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 $$unsorted)) (=> (tptp.m2_subset_1 B tptp.k1_numbers tptp.k5_numbers) (= (= B (tptp.k3_finseq_1 A)) (= (tptp.k2_finseq_1 B) (tptp.k1_relat_1 A))))))) true (and _let_19 _let_18 _let_17) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (not (and (exists ((B $$unsorted)) (and (tptp.m2_subset_1 B tptp.k1_numbers tptp.k5_numbers) (tptp.r1_tarski (tptp.k1_relat_1 A) (tptp.k2_finseq_1 B)))) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (tptp.v1_finseq_1 B)) (not (tptp.r1_tarski A B)))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (tptp.v1_finseq_1 B)) (not (and (tptp.r2_hidden A B) (forall ((C $$unsorted)) (=> (tptp.m2_subset_1 C tptp.k1_numbers tptp.k5_numbers) (not (and (tptp.r2_hidden C (tptp.k4_finseq_1 B)) (= A (tptp.k4_tarski C (tptp.k1_funct_1 B C))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_finseq_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (tptp.v1_finseq_1 B)) (=> (and (= (tptp.k4_finseq_1 A) (tptp.k4_finseq_1 B)) (forall ((C $$unsorted)) (=> (tptp.m2_subset_1 C tptp.k1_numbers tptp.k5_numbers) (=> (tptp.r2_hidden C (tptp.k4_finseq_1 A)) (= (tptp.k1_funct_1 A C) (tptp.k1_funct_1 B C)))))) (= A B)))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_finseq_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (tptp.v1_finseq_1 B)) (=> (and (= (tptp.k3_finseq_1 A) (tptp.k3_finseq_1 B)) (forall ((C $$unsorted)) (=> (tptp.m2_subset_1 C tptp.k1_numbers tptp.k5_numbers) (=> (and (tptp.r1_xreal_0 tptp.np__1 C) (tptp.r1_xreal_0 C (tptp.k3_finseq_1 A))) (= (tptp.k1_funct_1 A C) (tptp.k1_funct_1 B C)))))) (= A B)))))) (forall ((A $$unsorted)) (=> (tptp.v4_ordinal2 A) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k7_relat_1 B (tptp.k2_finseq_1 A)))) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (tptp.v1_finseq_1 B)) (and (tptp.v1_relat_1 _let_1) (tptp.v1_funct_1 _let_1) (tptp.v1_finseq_1 _let_1))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k5_relat_1 B A))) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (tptp.v1_finseq_1 B)) (=> (tptp.r1_tarski (tptp.k2_relat_1 B) (tptp.k1_relat_1 A)) (and (tptp.v1_relat_1 _let_1) (tptp.v1_funct_1 _let_1) (tptp.v1_finseq_1 _let_1)))))))) (forall ((A $$unsorted)) (=> (tptp.v4_ordinal2 A) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (tptp.v1_finseq_1 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k2_finseq_1 A))) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C) (tptp.v1_finseq_1 C)) (=> (and (tptp.r1_xreal_0 A (tptp.k3_finseq_1 B)) (= C (tptp.k7_relat_1 B _let_1))) (and (= (tptp.k3_finseq_1 C) A) (= (tptp.k4_finseq_1 C) _let_1)))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (tptp.v1_finseq_1 B)) (= (tptp.m1_finseq_1 B A) (tptp.r1_tarski (tptp.k2_relat_1 B) A)))) true (forall ((A $$unsorted)) (=> (tptp.v4_ordinal2 A) (forall ((B $$unsorted) (C $$unsorted)) (=> (tptp.m2_finseq_1 C B) (tptp.m2_finseq_1 (tptp.k7_relat_1 C (tptp.k2_finseq_1 A)) B))))) (forall ((A $$unsorted)) (=> (tptp.v4_ordinal2 A) (forall ((B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (exists ((C $$unsorted)) (and (tptp.m2_finseq_1 C B) (= (tptp.k3_finseq_1 C) A))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_finseq_1 A)) (= (= (tptp.k3_finseq_1 A) tptp.np__0) (= A tptp.k1_xboole_0)))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_finseq_1 A)) (= (= A tptp.k1_xboole_0) (= (tptp.k4_finseq_1 A) tptp.k1_xboole_0)))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_finseq_1 A)) (= (= A tptp.k1_xboole_0) (= (tptp.k2_relat_1 A) tptp.k1_xboole_0)))) true (forall ((A $$unsorted)) (tptp.m2_finseq_1 tptp.k1_xboole_0 A)) (forall ((A $$unsorted)) (= (tptp.k5_finseq_1 A) (tptp.k1_tarski (tptp.k4_tarski tptp.np__1 A)))) (forall ((A $$unsorted)) (= (tptp.k6_finseq_1 A) tptp.k1_xboole_0)) true true (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_finseq_1 A)) (forall ((B $$unsorted)) (= (= A (tptp.k6_finseq_1 B)) (= (tptp.k3_finseq_1 A) tptp.np__0))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_finseq_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (tptp.v1_finseq_1 B)) (forall ((C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C) (tptp.v1_finseq_1 C)) (= (= C (tptp.k7_finseq_1 A B)) (and (= (tptp.k4_finseq_1 C) (tptp.k2_finseq_1 (tptp.k1_nat_1 (tptp.k3_finseq_1 A) (tptp.k3_finseq_1 B)))) (forall ((D $$unsorted)) (=> (tptp.m2_subset_1 D tptp.k1_numbers tptp.k5_numbers) (=> (tptp.r2_hidden D (tptp.k4_finseq_1 A)) (= (tptp.k1_funct_1 C D) (tptp.k1_funct_1 A D))))) (forall ((D $$unsorted)) (=> (tptp.m2_subset_1 D tptp.k1_numbers tptp.k5_numbers) (=> (tptp.r2_hidden D (tptp.k4_finseq_1 B)) (= (tptp.k1_funct_1 C (tptp.k1_nat_1 (tptp.k3_finseq_1 A) D)) (tptp.k1_funct_1 B D))))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_finseq_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (tptp.v1_finseq_1 B)) (= A (tptp.k7_relat_1 (tptp.k7_finseq_1 A B) (tptp.k4_finseq_1 A))))))) true (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_finseq_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (tptp.v1_finseq_1 B)) (= (tptp.k3_finseq_1 (tptp.k7_finseq_1 A B)) (tptp.k1_nat_1 (tptp.k3_finseq_1 A) (tptp.k3_finseq_1 B))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_finseq_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (tptp.v1_finseq_1 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k3_finseq_1 A))) (=> (tptp.v4_ordinal2 C) (=> (and (tptp.r1_xreal_0 (tptp.k1_nat_1 _let_1 tptp.np__1) C) (tptp.r1_xreal_0 C (tptp.k1_nat_1 _let_1 (tptp.k3_finseq_1 B)))) (= (tptp.k1_funct_1 (tptp.k7_finseq_1 A B) C) (tptp.k1_funct_1 B (tptp.k6_xcmplx_0 C _let_1))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_finseq_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (tptp.v1_finseq_1 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k3_finseq_1 A))) (let ((_let_2 (tptp.k7_finseq_1 A B))) (=> (tptp.v4_ordinal2 C) (=> (tptp.r1_xreal_0 C (tptp.k3_finseq_1 _let_2)) (or (tptp.r1_xreal_0 C _let_1) (= (tptp.k1_funct_1 _let_2 C) (tptp.k1_funct_1 B (tptp.k6_xcmplx_0 C _let_1))))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_finseq_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (tptp.v1_finseq_1 B)) (forall ((C $$unsorted)) (=> (tptp.m2_subset_1 C tptp.k1_numbers tptp.k5_numbers) (not (and (tptp.r2_hidden C (tptp.k4_finseq_1 (tptp.k7_finseq_1 A B))) (not (tptp.r2_hidden C (tptp.k4_finseq_1 A))) (forall ((D $$unsorted)) (=> (tptp.m2_subset_1 D tptp.k1_numbers tptp.k5_numbers) (not (and (tptp.r2_hidden D (tptp.k4_finseq_1 B)) (= C (tptp.k1_nat_1 (tptp.k3_finseq_1 A) D)))))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_finseq_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (tptp.v1_finseq_1 B)) (tptp.r1_tarski (tptp.k4_finseq_1 A) (tptp.k4_finseq_1 (tptp.k7_finseq_1 A B))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (tptp.v1_finseq_1 B)) (forall ((C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C) (tptp.v1_finseq_1 C)) (not (and (tptp.r2_hidden A (tptp.k4_finseq_1 B)) (forall ((D $$unsorted)) (=> (tptp.m2_subset_1 D tptp.k1_numbers tptp.k5_numbers) (not (and (= D A) (tptp.r2_hidden (tptp.k1_nat_1 (tptp.k3_finseq_1 C) D) (tptp.k4_finseq_1 (tptp.k7_finseq_1 C B))))))))))))) (forall ((A $$unsorted)) (=> (tptp.m2_subset_1 A tptp.k1_numbers tptp.k5_numbers) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (tptp.v1_finseq_1 B)) (forall ((C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C) (tptp.v1_finseq_1 C)) (=> (tptp.r2_hidden A (tptp.k4_finseq_1 B)) (tptp.r2_hidden (tptp.k1_nat_1 (tptp.k3_finseq_1 C) A) (tptp.k4_finseq_1 (tptp.k7_finseq_1 C B)))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_finseq_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (tptp.v1_finseq_1 B)) (tptp.r1_tarski (tptp.k2_relat_1 A) (tptp.k2_relat_1 (tptp.k7_finseq_1 A B))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_finseq_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (tptp.v1_finseq_1 B)) (tptp.r1_tarski (tptp.k2_relat_1 A) (tptp.k2_relat_1 (tptp.k7_finseq_1 B A))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_finseq_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (tptp.v1_finseq_1 B)) (= (tptp.k2_relat_1 (tptp.k7_finseq_1 A B)) (tptp.k2_xboole_0 (tptp.k2_relat_1 A) (tptp.k2_relat_1 B))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_finseq_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (tptp.v1_finseq_1 B)) (forall ((C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C) (tptp.v1_finseq_1 C)) (= (tptp.k7_finseq_1 (tptp.k7_finseq_1 A B) C) (tptp.k7_finseq_1 A (tptp.k7_finseq_1 B C))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_finseq_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (tptp.v1_finseq_1 B)) (forall ((C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C) (tptp.v1_finseq_1 C)) (=> (or (= (tptp.k7_finseq_1 A B) (tptp.k7_finseq_1 C B)) (= (tptp.k7_finseq_1 B A) (tptp.k7_finseq_1 B C))) (= A C)))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_finseq_1 A)) (and (= (tptp.k7_finseq_1 A tptp.k1_xboole_0) A) (= (tptp.k7_finseq_1 tptp.k1_xboole_0 A) A)))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_finseq_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (tptp.v1_finseq_1 B)) (=> (= (tptp.k7_finseq_1 A B) tptp.k1_xboole_0) (and (= A tptp.k1_xboole_0) (= B tptp.k1_xboole_0))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (= (= B (tptp.k9_finseq_1 A)) (and (= (tptp.k1_relat_1 B) (tptp.k2_finseq_1 tptp.np__1)) (= (tptp.k1_funct_1 B tptp.np__1) A))))) true (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_finseq_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (tptp.v1_finseq_1 B)) (forall ((C $$unsorted)) (=> (tptp.m2_finseq_1 (tptp.k7_finseq_1 A B) C) (and (tptp.m2_finseq_1 A C) (tptp.m2_finseq_1 B C)))))))) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.k10_finseq_1 A B) (tptp.k7_finseq_1 (tptp.k9_finseq_1 A) (tptp.k9_finseq_1 B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.k11_finseq_1 A B C) (tptp.k7_finseq_1 (tptp.k7_finseq_1 (tptp.k9_finseq_1 A) (tptp.k9_finseq_1 B)) (tptp.k9_finseq_1 C)))) true (forall ((A $$unsorted)) (= (tptp.k9_finseq_1 A) (tptp.k1_tarski (tptp.k4_tarski tptp.np__1 A)))) true true (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (tptp.v1_finseq_1 B)) (= (= B (tptp.k9_finseq_1 A)) (and (= (tptp.k4_finseq_1 B) (tptp.k2_finseq_1 tptp.np__1)) (= (tptp.k2_relat_1 B) (tptp.k1_tarski A)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (tptp.v1_finseq_1 B)) (= (= B (tptp.k9_finseq_1 A)) (and (= (tptp.k3_finseq_1 B) tptp.np__1) (= (tptp.k2_relat_1 B) (tptp.k1_tarski A)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (tptp.v1_finseq_1 B)) (= (= B (tptp.k9_finseq_1 A)) (and (= (tptp.k3_finseq_1 B) tptp.np__1) (= (tptp.k1_funct_1 B tptp.np__1) A))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (tptp.v1_finseq_1 B)) (= (tptp.k1_funct_1 (tptp.k7_finseq_1 (tptp.k9_finseq_1 A) B) tptp.np__1) A))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (tptp.v1_finseq_1 B)) (= (tptp.k1_funct_1 (tptp.k7_finseq_1 B (tptp.k9_finseq_1 A)) (tptp.k1_nat_1 (tptp.k3_finseq_1 B) tptp.np__1)) A))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k11_finseq_1 A B C))) (and (= _let_1 (tptp.k7_finseq_1 (tptp.k9_finseq_1 A) (tptp.k10_finseq_1 B C))) (= _let_1 (tptp.k7_finseq_1 (tptp.k10_finseq_1 A B) (tptp.k9_finseq_1 C)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C) (tptp.v1_finseq_1 C)) (= (= C (tptp.k10_finseq_1 A B)) (and (= (tptp.k3_finseq_1 C) tptp.np__2) (= (tptp.k1_funct_1 C tptp.np__1) A) (= (tptp.k1_funct_1 C tptp.np__2) B))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.v1_relat_1 D) (tptp.v1_funct_1 D) (tptp.v1_finseq_1 D)) (= (= D (tptp.k11_finseq_1 A B C)) (and (= (tptp.k3_finseq_1 D) tptp.np__3) (= (tptp.k1_funct_1 D tptp.np__1) A) (= (tptp.k1_funct_1 D tptp.np__2) B) (= (tptp.k1_funct_1 D tptp.np__3) C))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_finseq_1 A)) (not (and (not (= A tptp.k1_xboole_0)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (tptp.v1_finseq_1 B)) (forall ((C $$unsorted)) (not (= A (tptp.k7_finseq_1 B (tptp.k9_finseq_1 C))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_finseq_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (tptp.v1_finseq_1 B)) (forall ((C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C) (tptp.v1_finseq_1 C)) (forall ((D $$unsorted)) (=> (and (tptp.v1_relat_1 D) (tptp.v1_funct_1 D) (tptp.v1_finseq_1 D)) (not (and (= (tptp.k7_finseq_1 A B) (tptp.k7_finseq_1 C D)) (tptp.r1_xreal_0 (tptp.k3_finseq_1 A) (tptp.k3_finseq_1 C)) (forall ((E $$unsorted)) (=> (and (tptp.v1_relat_1 E) (tptp.v1_funct_1 E) (tptp.v1_finseq_1 E)) (not (= (tptp.k7_finseq_1 A E) C)))))))))))))) (forall ((A $$unsorted) (B $$unsorted)) (= (= B (tptp.k13_finseq_1 A)) (forall ((C $$unsorted)) (= (tptp.r2_hidden C B) (tptp.m2_finseq_1 C A))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_finseq_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (tptp.v1_finseq_1 B)) (=> (and (= (tptp.k2_relat_1 A) (tptp.k2_relat_1 B)) (tptp.v2_funct_1 A) (tptp.v2_funct_1 B)) (= (tptp.k3_finseq_1 A) (tptp.k3_finseq_1 B))))))) (forall ((A $$unsorted)) (tptp.r2_hidden tptp.k1_xboole_0 (tptp.k13_finseq_1 A))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (= (tptp.v2_finseq_1 A) (exists ((B $$unsorted)) (and (tptp.m2_subset_1 B tptp.k1_numbers tptp.k5_numbers) (tptp.r1_tarski (tptp.k1_relat_1 A) (tptp.k2_finseq_1 B))))))) true (forall ((A $$unsorted)) (let ((_let_1 (tptp.v1_funct_1 A))) (let ((_let_2 (tptp.v1_relat_1 A))) (=> (and _let_2 _let_1 (tptp.v1_finseq_1 A)) (and _let_2 _let_1 (tptp.v2_finseq_1 A)))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k8_relat_1 A B))) (let ((_let_2 (tptp.k7_relat_1 B A))) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (tptp.v1_finseq_1 B)) (and (tptp.v1_relat_1 _let_2) (tptp.v1_funct_1 _let_2) (tptp.v2_finseq_1 _let_2) (tptp.v1_relat_1 _let_1) (tptp.v1_funct_1 _let_1) (tptp.v2_finseq_1 _let_1)))))) (forall ((A $$unsorted)) (=> (exists ((B $$unsorted)) (and (tptp.v4_ordinal2 B) (tptp.r1_tarski A (tptp.k2_finseq_1 B)))) (forall ((B $$unsorted)) (=> (tptp.m2_finseq_1 B tptp.k5_numbers) (= (= B (tptp.k14_finseq_1 A)) (and (= (tptp.k2_relat_1 B) A) (forall ((C $$unsorted)) (=> (tptp.v4_ordinal2 C) (forall ((D $$unsorted)) (=> (tptp.v4_ordinal2 D) (forall ((E $$unsorted)) (=> (tptp.v4_ordinal2 E) (forall ((F $$unsorted)) (=> (tptp.v4_ordinal2 F) (not (and (tptp.r1_xreal_0 tptp.np__1 C) (not (tptp.r1_xreal_0 D C)) (tptp.r1_xreal_0 D (tptp.k3_finseq_1 B)) (= E (tptp.k1_funct_1 B C)) (= F (tptp.k1_funct_1 B D)) (tptp.r1_xreal_0 F E))))))))))))))))) true (forall ((A $$unsorted)) (let ((_let_1 (tptp.k1_relat_1 A))) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v2_finseq_1 A)) (= (tptp.k2_relat_1 (tptp.k14_finseq_1 _let_1)) _let_1)))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v2_finseq_1 A)) (= (tptp.k15_finseq_1 A) (tptp.k5_relat_1 (tptp.k14_finseq_1 (tptp.k1_relat_1 A)) A)))) (forall ((A $$unsorted)) (=> (exists ((B $$unsorted)) (and (tptp.m2_subset_1 B tptp.k1_numbers tptp.k5_numbers) (tptp.r1_tarski A (tptp.k2_finseq_1 B)))) (= (= (tptp.k14_finseq_1 A) tptp.k1_xboole_0) (= A tptp.k1_xboole_0)))) (forall ((A $$unsorted)) (= (tptp.v1_finset_1 A) (exists ((B $$unsorted)) (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (tptp.v1_finseq_1 B) (= A (tptp.k2_relat_1 B)))))) (forall ((A $$unsorted)) (=> (tptp.m2_subset_1 A tptp.k1_numbers tptp.k5_numbers) (forall ((B $$unsorted)) (=> (tptp.m2_subset_1 B tptp.k1_numbers tptp.k5_numbers) (=> (tptp.r2_wellord2 (tptp.k2_finseq_1 A) (tptp.k2_finseq_1 B)) (= A B)))))) (forall ((A $$unsorted)) (=> (tptp.m2_subset_1 A tptp.k1_numbers tptp.k5_numbers) (tptp.r2_wellord2 (tptp.k2_finseq_1 A) A))) (forall ((A $$unsorted)) (=> (tptp.m2_subset_1 A tptp.k1_numbers tptp.k5_numbers) (= (tptp.k1_card_1 (tptp.k2_finseq_1 A)) (tptp.k1_card_1 A)))) (forall ((A $$unsorted)) (not (and (tptp.v1_finset_1 A) (forall ((B $$unsorted)) (=> (tptp.m2_subset_1 B tptp.k1_numbers tptp.k5_numbers) (not (tptp.r2_wellord2 A (tptp.k2_finseq_1 B)))))))) (and (forall ((A $$unsorted)) (=> (tptp.v4_ordinal2 A) (= (tptp.k4_card_1 (tptp.k2_finseq_1 A)) A))) (forall ((A $$unsorted)) (=> (tptp.m2_subset_1 A tptp.k1_numbers tptp.k5_numbers) (and (= (tptp.k4_card_1 A) A) (= (tptp.k4_card_1 (tptp.k1_card_1 A)) A))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m2_finseq_1 B A) (forall ((C $$unsorted)) (=> (tptp.v4_ordinal2 C) (= (tptp.k16_finseq_1 A B C) (tptp.k7_relat_1 B (tptp.k2_finseq_1 C))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m2_finseq_1 B A) (forall ((C $$unsorted)) (=> (tptp.v4_ordinal2 C) (=> (tptp.r1_xreal_0 (tptp.k3_finseq_1 B) C) (= (tptp.k16_finseq_1 A B C) B)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m2_finseq_1 B A) (forall ((C $$unsorted)) (=> (tptp.v4_ordinal2 C) (=> (tptp.r1_xreal_0 C (tptp.k3_finseq_1 B)) (= (tptp.k3_finseq_1 (tptp.k16_finseq_1 A B C)) C)))))) (forall ((A $$unsorted)) (=> (tptp.m2_subset_1 A tptp.k1_numbers tptp.k5_numbers) (forall ((B $$unsorted)) (=> (tptp.v4_ordinal2 B) (forall ((C $$unsorted)) (=> (tptp.v4_ordinal2 C) (=> (tptp.r2_hidden B (tptp.k2_finseq_1 A)) (tptp.r2_hidden (tptp.k2_xcmplx_0 B C) (tptp.k2_finseq_1 (tptp.k2_xcmplx_0 A C)))))))))) (forall ((A $$unsorted)) (=> (tptp.m2_subset_1 A tptp.k1_numbers tptp.k5_numbers) (forall ((B $$unsorted)) (=> (tptp.v4_ordinal2 B) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k2_finseq_1 (tptp.k2_xcmplx_0 A C)))) (=> (tptp.v4_ordinal2 C) (=> (tptp.r2_hidden (tptp.k2_xcmplx_0 B C) _let_1) (or (tptp.r1_xreal_0 B tptp.np__0) (and (tptp.r2_hidden B (tptp.k2_finseq_1 A)) (tptp.r2_hidden B _let_1))))))))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (forall ((B $$unsorted)) (=> (tptp.v1_relat_1 B) (= (= B (tptp.k17_finseq_1 A)) (forall ((C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k3_relat_1 A))) (= (tptp.r2_hidden (tptp.k4_tarski C D) B) (and (tptp.r2_hidden C _let_1) (tptp.r2_hidden D _let_1) (exists ((E $$unsorted)) (let ((_let_1 (tptp.k3_finseq_1 E))) (and (tptp.v1_relat_1 E) (tptp.v1_funct_1 E) (tptp.v1_finseq_1 E) (tptp.r1_xreal_0 tptp.np__1 _let_1) (= (tptp.k1_funct_1 E tptp.np__1) C) (= (tptp.k1_funct_1 E _let_1) D) (forall ((F $$unsorted)) (=> (tptp.m2_subset_1 F tptp.k1_numbers tptp.k5_numbers) (=> (tptp.r1_xreal_0 tptp.np__1 F) (or (tptp.r1_xreal_0 (tptp.k3_finseq_1 E) F) (tptp.r2_hidden (tptp.k4_tarski (tptp.k1_funct_1 E F) (tptp.k1_funct_1 E (tptp.k1_nat_1 F tptp.np__1))) A))))))))))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.r1_tarski A B) (tptp.r1_tarski (tptp.k13_finseq_1 A) (tptp.k13_finseq_1 B)))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_finseq_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (tptp.v1_finseq_1 B)) (=> (tptp.r1_tarski A B) (tptp.r1_xreal_0 (tptp.k3_finseq_1 A) (tptp.k3_finseq_1 B))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_finseq_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (tptp.v1_finseq_1 B)) (forall ((C $$unsorted)) (=> (tptp.m2_subset_1 C tptp.k1_numbers tptp.k5_numbers) (=> (and (tptp.r1_xreal_0 tptp.np__1 C) (tptp.r1_xreal_0 C (tptp.k3_finseq_1 A))) (= (tptp.k1_funct_1 (tptp.k7_finseq_1 A B) C) (tptp.k1_funct_1 A C))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_finseq_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (tptp.v1_finseq_1 B)) (forall ((C $$unsorted)) (=> (tptp.m2_subset_1 C tptp.k1_numbers tptp.k5_numbers) (=> (and (tptp.r1_xreal_0 tptp.np__1 C) (tptp.r1_xreal_0 C (tptp.k3_finseq_1 B))) (= (tptp.k1_funct_1 (tptp.k7_finseq_1 A B) (tptp.k1_nat_1 (tptp.k3_finseq_1 A) C)) (tptp.k1_funct_1 B C))))))))) (=> (and (forall ((A $$unsorted)) (=> (tptp.m2_subset_1 A tptp.k1_numbers tptp.k5_numbers) (forall ((B $$unsorted) (C $$unsorted)) (=> (and (tptp.r2_hidden A (tptp.k2_finseq_1 tptp.f1_s1_finseq_1)) (tptp.p1_s1_finseq_1 A B) (tptp.p1_s1_finseq_1 A C)) (= B C))))) (forall ((A $$unsorted)) (=> (tptp.m2_subset_1 A tptp.k1_numbers tptp.k5_numbers) (not (and (tptp.r2_hidden A (tptp.k2_finseq_1 tptp.f1_s1_finseq_1)) (forall ((B $$unsorted)) (not (tptp.p1_s1_finseq_1 A B)))))))) (exists ((A $$unsorted)) (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_finseq_1 A) (= (tptp.k4_finseq_1 A) (tptp.k2_finseq_1 tptp.f1_s1_finseq_1)) (forall ((B $$unsorted)) (=> (tptp.m2_subset_1 B tptp.k1_numbers tptp.k5_numbers) (=> (tptp.r2_hidden B (tptp.k2_finseq_1 tptp.f1_s1_finseq_1)) (tptp.p1_s1_finseq_1 B (tptp.k1_funct_1 A B)))))))) (exists ((A $$unsorted)) (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_finseq_1 A) (= (tptp.k3_finseq_1 A) tptp.f1_s2_finseq_1) (forall ((B $$unsorted)) (=> (tptp.m2_subset_1 B tptp.k1_numbers tptp.k5_numbers) (=> (tptp.r2_hidden B (tptp.k2_finseq_1 tptp.f1_s2_finseq_1)) (= (tptp.k1_funct_1 A B) (tptp.f2_s2_finseq_1 B))))))) (=> (and (tptp.p1_s3_finseq_1 tptp.k1_xboole_0) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_finseq_1 A)) (forall ((B $$unsorted)) (=> (tptp.p1_s3_finseq_1 A) (tptp.p1_s3_finseq_1 (tptp.k7_finseq_1 A (tptp.k9_finseq_1 B)))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_finseq_1 A)) (tptp.p1_s3_finseq_1 A)))) (exists ((A $$unsorted)) (forall ((B $$unsorted)) (= (tptp.r2_hidden B A) (exists ((C $$unsorted)) (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C) (tptp.v1_finseq_1 C) (tptp.r2_hidden C (tptp.k13_finseq_1 tptp.f1_s4_finseq_1)) (tptp.p1_s4_finseq_1 C) (= B C)))))) (=> (forall ((A $$unsorted)) (=> (tptp.m2_subset_1 A tptp.k1_numbers tptp.k5_numbers) (not (and (tptp.r2_hidden A (tptp.k2_finseq_1 tptp.f2_s5_finseq_1)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.f1_s5_finseq_1) (not (tptp.p1_s5_finseq_1 A B)))))))) (exists ((A $$unsorted)) (and (tptp.m2_finseq_1 A tptp.f1_s5_finseq_1) (= (tptp.k4_finseq_1 A) (tptp.k2_finseq_1 tptp.f2_s5_finseq_1)) (forall ((B $$unsorted)) (=> (tptp.m2_subset_1 B tptp.k1_numbers tptp.k5_numbers) (=> (tptp.r2_hidden B (tptp.k2_finseq_1 tptp.f2_s5_finseq_1)) (tptp.p1_s5_finseq_1 B (tptp.k1_funct_1 A B)))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_finseq_1 B A) (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (tptp.v1_finseq_1 B)))) (forall ((A $$unsorted)) (exists ((B $$unsorted)) (tptp.m1_finseq_1 B A))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m2_finseq_1 B A) (and (tptp.v1_funct_1 B) (tptp.v1_finseq_1 B) (tptp.m2_relset_1 B tptp.k5_numbers A)))) (forall ((A $$unsorted)) (exists ((B $$unsorted)) (tptp.m2_finseq_1 B A))) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.m2_finseq_1 B A) (tptp.m1_finseq_1 B A))) true (forall ((A $$unsorted)) (=> (tptp.v4_ordinal2 A) (tptp.m1_subset_1 (tptp.k2_finseq_1 A) (tptp.k1_zfmisc_1 tptp.k5_numbers)))) (forall ((A $$unsorted)) (=> (tptp.v4_ordinal2 A) (= (tptp.k2_finseq_1 A) (tptp.k1_finseq_1 A)))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_finseq_1 A)) (tptp.m2_subset_1 (tptp.k3_finseq_1 A) tptp.k1_numbers tptp.k5_numbers))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_finseq_1 A)) (= (tptp.k3_finseq_1 A) (tptp.k1_card_1 A)))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_finseq_1 A)) (tptp.m1_subset_1 (tptp.k4_finseq_1 A) (tptp.k1_zfmisc_1 tptp.k5_numbers)))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_finseq_1 A)) (= (tptp.k4_finseq_1 A) (tptp.k1_relat_1 A)))) true (forall ((A $$unsorted)) (let ((_let_1 (tptp.k6_finseq_1 A))) (and (tptp.v1_xboole_0 _let_1) (tptp.m2_finseq_1 _let_1 A)))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k7_finseq_1 A B))) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_finseq_1 A) (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (tptp.v1_finseq_1 B)) (and (tptp.v1_relat_1 _let_1) (tptp.v1_funct_1 _let_1) (tptp.v1_finseq_1 _let_1))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.m1_finseq_1 B A) (tptp.m1_finseq_1 C A)) (tptp.m2_finseq_1 (tptp.k8_finseq_1 A B C) A))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.m1_finseq_1 B A) (tptp.m1_finseq_1 C A)) (= (tptp.k8_finseq_1 A B C) (tptp.k7_finseq_1 B C)))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k9_finseq_1 A))) (and (tptp.v1_relat_1 _let_1) (tptp.v1_funct_1 _let_1)))) (forall ((A $$unsorted)) (= (tptp.k9_finseq_1 A) (tptp.k5_finseq_1 A))) true true (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.m1_subset_1 B A)) (tptp.m2_finseq_1 (tptp.k12_finseq_1 A B) A))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.m1_subset_1 B A)) (= (tptp.k12_finseq_1 A B) (tptp.k5_finseq_1 B)))) true (forall ((A $$unsorted)) (tptp.m2_finseq_1 (tptp.k14_finseq_1 A) tptp.k5_numbers)) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k15_finseq_1 A))) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v2_finseq_1 A)) (and (tptp.v1_relat_1 _let_1) (tptp.v1_funct_1 _let_1))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.m1_finseq_1 B A) (tptp.v4_ordinal2 C)) (tptp.m2_finseq_1 (tptp.k16_finseq_1 A B C) A))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (tptp.v1_relat_1 (tptp.k17_finseq_1 A)))) (forall ((A $$unsorted)) (=> (tptp.v4_ordinal2 A) (= (tptp.k1_finseq_1 A) (tptp.a_1_0_finseq_1 A)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.v4_ordinal2 B) (= (tptp.r2_hidden A (tptp.a_1_0_finseq_1 B)) (exists ((C $$unsorted)) (and (tptp.m2_subset_1 C tptp.k1_numbers tptp.k5_numbers) (= A C) (tptp.r1_xreal_0 tptp.np__1 C) (tptp.r1_xreal_0 C B)))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (not (tptp.v1_xboole_0 (tptp.k1_orders_1 A))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (=> (not (tptp.r2_hidden tptp.k1_xboole_0 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k3_tarski A))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B A _let_1) (tptp.m2_relset_1 B A _let_1)) (= (tptp.m1_orders_1 B A) (forall ((C $$unsorted)) (=> (tptp.r2_hidden C A) (tptp.r2_hidden (tptp.k1_funct_1 B C) C)))))))))) (forall ((A $$unsorted)) (= (tptp.k1_orders_1 A) (tptp.k4_xboole_0 (tptp.k1_zfmisc_1 A) (tptp.k1_tarski tptp.k1_xboole_0)))) true true true (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (not (tptp.r2_hidden tptp.k1_xboole_0 (tptp.k1_orders_1 A))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (= (tptp.r1_tarski A B) (tptp.r2_hidden A (tptp.k1_orders_1 B))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (= (tptp.m1_subset_1 A (tptp.k1_zfmisc_1 B)) (tptp.r2_hidden A (tptp.k1_orders_1 B))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (tptp.r2_hidden A (tptp.k1_orders_1 A)))) true true true true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_relat_2 C) (tptp.v4_relat_2 C) (tptp.v8_relat_2 C) (tptp.v1_partfun1 C A A) (tptp.m2_relset_1 C A A)) (=> (tptp.r2_hidden B A) (tptp.r2_hidden (tptp.k4_tarski B B) C)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.v1_relat_2 D) (tptp.v4_relat_2 D) (tptp.v8_relat_2 D) (tptp.v1_partfun1 D A A) (tptp.m2_relset_1 D A A)) (=> (and (tptp.r2_hidden B A) (tptp.r2_hidden C A) (tptp.r2_hidden (tptp.k4_tarski B C) D) (tptp.r2_hidden (tptp.k4_tarski C B) D)) (= B C)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (=> (and (tptp.v1_relat_2 E) (tptp.v4_relat_2 E) (tptp.v8_relat_2 E) (tptp.v1_partfun1 E A A) (tptp.m2_relset_1 E A A)) (=> (and (tptp.r2_hidden B A) (tptp.r2_hidden C A) (tptp.r2_hidden D A) (tptp.r2_hidden (tptp.k4_tarski B C) E) (tptp.r2_hidden (tptp.k4_tarski C D) E)) (tptp.r2_hidden (tptp.k4_tarski B D) E)))) true true true true true true true true true true true true true true true true true true true true true true true true true true true true true true true true true true true true true true true true true true true true true true true true true true true true true true true true true true true true true true true true true true true true true true true true true true true true (forall ((A $$unsorted)) (let ((_let_1 (= (tptp.k3_tarski A) tptp.k1_xboole_0))) (and (not (and (exists ((B $$unsorted)) (and (not (= B tptp.k1_xboole_0)) (tptp.r2_hidden B A))) _let_1)) (not (and (not _let_1) (forall ((B $$unsorted)) (not (and (not (= B tptp.k1_xboole_0)) (tptp.r2_hidden B A))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.v1_relat_1 B) (= (tptp.r7_relat_2 B A) (and (tptp.r1_relat_2 B A) (tptp.r6_relat_2 B A))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.v1_relat_1 C) (=> (and (tptp.r1_relat_2 C A) (tptp.r1_tarski B A)) (tptp.r1_relat_2 C B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.v1_relat_1 C) (=> (and (tptp.r4_relat_2 C A) (tptp.r1_tarski B A)) (tptp.r4_relat_2 C B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.v1_relat_1 C) (=> (and (tptp.r8_relat_2 C A) (tptp.r1_tarski B A)) (tptp.r8_relat_2 C B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.v1_relat_1 C) (=> (and (tptp.r7_relat_2 C A) (tptp.r1_tarski B A)) (tptp.r7_relat_2 C B)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_partfun1 B A A) (tptp.m2_relset_1 B A A)) (= (tptp.k3_relat_1 B) A))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m2_relset_1 B A A) (=> (tptp.r1_relat_2 B A) (and (= (tptp.k4_relset_1 A A B) A) (= (tptp.k3_relat_1 B) A))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_relat_2 B) (tptp.v4_relat_2 B) (tptp.v8_relat_2 B) (tptp.v1_partfun1 B A A) (tptp.m2_relset_1 B A A)) (and (= (tptp.k4_relset_1 A A B) A) (= (tptp.k5_relset_1 A A B) A)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_relat_2 B) (tptp.v4_relat_2 B) (tptp.v8_relat_2 B) (tptp.v1_partfun1 B A A) (tptp.m2_relset_1 B A A)) (= (tptp.k3_relat_1 B) A))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (= (tptp.v1_orders_1 A) (and (tptp.v1_relat_2 A) (tptp.v8_relat_2 A))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (= (tptp.v2_orders_1 A) (and (tptp.v1_relat_2 A) (tptp.v8_relat_2 A) (tptp.v4_relat_2 A))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (= (tptp.v3_orders_1 A) (and (tptp.v1_relat_2 A) (tptp.v8_relat_2 A) (tptp.v4_relat_2 A) (tptp.v6_relat_2 A))))) true true true (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (=> (tptp.v1_orders_1 A) (tptp.v1_orders_1 (tptp.k4_relat_1 A))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (=> (tptp.v2_orders_1 A) (tptp.v2_orders_1 (tptp.k4_relat_1 A))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (=> (tptp.v3_orders_1 A) (tptp.v3_orders_1 (tptp.k4_relat_1 A))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (=> (tptp.v2_wellord1 A) (and (tptp.v1_orders_1 A) (tptp.v2_orders_1 A) (tptp.v3_orders_1 A))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (=> (tptp.v3_orders_1 A) (and (tptp.v1_orders_1 A) (tptp.v2_orders_1 A))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (=> (tptp.v2_orders_1 A) (tptp.v1_orders_1 A)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_relat_2 B) (tptp.v4_relat_2 B) (tptp.v8_relat_2 B) (tptp.v1_partfun1 B A A) (tptp.m2_relset_1 B A A)) (tptp.v2_orders_1 B))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_relat_2 B) (tptp.v4_relat_2 B) (tptp.v8_relat_2 B) (tptp.v1_partfun1 B A A) (tptp.m2_relset_1 B A A)) (tptp.v1_orders_1 B))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_relat_2 B) (tptp.v4_relat_2 B) (tptp.v8_relat_2 B) (tptp.v1_partfun1 B A A) (tptp.m2_relset_1 B A A)) (=> (tptp.v6_relat_2 B) (tptp.v3_orders_1 B)))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (forall ((B $$unsorted)) (=> (tptp.v1_orders_1 A) (tptp.v1_orders_1 (tptp.k2_wellord1 A B)))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (forall ((B $$unsorted)) (=> (tptp.v2_orders_1 A) (tptp.v2_orders_1 (tptp.k2_wellord1 A B)))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (forall ((B $$unsorted)) (=> (tptp.v3_orders_1 A) (tptp.v3_orders_1 (tptp.k2_wellord1 A B)))))) true true true (and (tptp.v1_orders_1 tptp.k1_xboole_0) (tptp.v2_orders_1 tptp.k1_xboole_0) (tptp.v3_orders_1 tptp.k1_xboole_0) (tptp.v2_wellord1 tptp.k1_xboole_0)) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k6_partfun1 A))) (and (tptp.v1_orders_1 _let_1) (tptp.v2_orders_1 _let_1)))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (forall ((B $$unsorted)) (= (tptp.r1_orders_1 A B) (and (tptp.r1_relat_2 A B) (tptp.r8_relat_2 A B)))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (forall ((B $$unsorted)) (= (tptp.r2_orders_1 A B) (and (tptp.r1_relat_2 A B) (tptp.r8_relat_2 A B) (tptp.r4_relat_2 A B)))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (forall ((B $$unsorted)) (= (tptp.r3_orders_1 A B) (and (tptp.r1_relat_2 A B) (tptp.r8_relat_2 A B) (tptp.r4_relat_2 A B) (tptp.r6_relat_2 A B)))))) true true true (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (forall ((B $$unsorted)) (=> (tptp.r2_wellord1 A B) (and (tptp.r1_orders_1 A B) (tptp.r2_orders_1 A B) (tptp.r3_orders_1 A B)))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (forall ((B $$unsorted)) (=> (tptp.r3_orders_1 A B) (and (tptp.r1_orders_1 A B) (tptp.r2_orders_1 A B)))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (forall ((B $$unsorted)) (=> (tptp.r2_orders_1 A B) (tptp.r1_orders_1 A B))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (=> (tptp.v1_orders_1 A) (tptp.r1_orders_1 A (tptp.k3_relat_1 A))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (forall ((B $$unsorted) (C $$unsorted)) (=> (and (tptp.r1_orders_1 A B) (tptp.r1_tarski C B)) (tptp.r1_orders_1 A C))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (forall ((B $$unsorted)) (=> (tptp.r1_orders_1 A B) (tptp.v1_orders_1 (tptp.k2_wellord1 A B)))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (=> (tptp.v2_orders_1 A) (tptp.r2_orders_1 A (tptp.k3_relat_1 A))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (forall ((B $$unsorted) (C $$unsorted)) (=> (and (tptp.r2_orders_1 A B) (tptp.r1_tarski C B)) (tptp.r2_orders_1 A C))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (forall ((B $$unsorted)) (=> (tptp.r2_orders_1 A B) (tptp.v2_orders_1 (tptp.k2_wellord1 A B)))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (=> (tptp.v3_orders_1 A) (tptp.r3_orders_1 A (tptp.k3_relat_1 A))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (forall ((B $$unsorted) (C $$unsorted)) (=> (and (tptp.r3_orders_1 A B) (tptp.r1_tarski C B)) (tptp.r3_orders_1 A C))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (forall ((B $$unsorted)) (=> (tptp.r3_orders_1 A B) (tptp.v3_orders_1 (tptp.k2_wellord1 A B)))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (forall ((B $$unsorted)) (=> (tptp.r1_orders_1 A B) (tptp.r1_orders_1 (tptp.k4_relat_1 A) B))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (forall ((B $$unsorted)) (=> (tptp.r2_orders_1 A B) (tptp.r2_orders_1 (tptp.k4_relat_1 A) B))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (forall ((B $$unsorted)) (=> (tptp.r3_orders_1 A B) (tptp.r3_orders_1 (tptp.k4_relat_1 A) B))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_relat_2 B) (tptp.v4_relat_2 B) (tptp.v8_relat_2 B) (tptp.v1_partfun1 B A A) (tptp.m2_relset_1 B A A)) (tptp.r1_orders_1 B A))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_relat_2 B) (tptp.v4_relat_2 B) (tptp.v8_relat_2 B) (tptp.v1_partfun1 B A A) (tptp.m2_relset_1 B A A)) (tptp.r2_orders_1 B A))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k2_wellord1 A B))) (=> (tptp.r2_orders_1 A B) (and (tptp.v1_relat_2 _let_1) (tptp.v4_relat_2 _let_1) (tptp.v8_relat_2 _let_1) (tptp.v1_partfun1 _let_1 B B) (tptp.m2_relset_1 _let_1 B B))))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k2_wellord1 A B))) (=> (tptp.r3_orders_1 A B) (and (tptp.v1_relat_2 _let_1) (tptp.v4_relat_2 _let_1) (tptp.v8_relat_2 _let_1) (tptp.v1_partfun1 _let_1 B B) (tptp.m2_relset_1 _let_1 B B))))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k2_wellord1 A B))) (=> (tptp.r2_wellord1 A B) (and (tptp.v1_relat_2 _let_1) (tptp.v4_relat_2 _let_1) (tptp.v8_relat_2 _let_1) (tptp.v1_partfun1 _let_1 B B) (tptp.m2_relset_1 _let_1 B B))))))) true true (forall ((A $$unsorted)) (let ((_let_1 (tptp.k6_partfun1 A))) (and (tptp.r1_orders_1 _let_1 A) (tptp.r2_orders_1 _let_1 A)))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (forall ((B $$unsorted)) (= (tptp.r4_orders_1 A B) (forall ((C $$unsorted)) (not (and (tptp.r1_tarski C B) (tptp.v3_orders_1 (tptp.k2_wellord1 A C)) (forall ((D $$unsorted)) (not (and (tptp.r2_hidden D B) (forall ((E $$unsorted)) (=> (tptp.r2_hidden E C) (tptp.r2_hidden (tptp.k4_tarski E D) A))))))))))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (forall ((B $$unsorted)) (= (tptp.r5_orders_1 A B) (forall ((C $$unsorted)) (not (and (tptp.r1_tarski C B) (tptp.v3_orders_1 (tptp.k2_wellord1 A C)) (forall ((D $$unsorted)) (not (and (tptp.r2_hidden D B) (forall ((E $$unsorted)) (=> (tptp.r2_hidden E C) (tptp.r2_hidden (tptp.k4_tarski D E) A))))))))))))) true true (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (forall ((B $$unsorted)) (not (and (tptp.r4_orders_1 A B) (= B tptp.k1_xboole_0)))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (forall ((B $$unsorted)) (not (and (tptp.r5_orders_1 A B) (= B tptp.k1_xboole_0)))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (forall ((B $$unsorted)) (= (tptp.r4_orders_1 A B) (tptp.r5_orders_1 (tptp.k4_relat_1 A) B))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (forall ((B $$unsorted)) (= (tptp.r4_orders_1 (tptp.k4_relat_1 A) B) (tptp.r5_orders_1 A B))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (forall ((B $$unsorted)) (= (tptp.r6_orders_1 A B) (and (tptp.r2_hidden B (tptp.k3_relat_1 A)) (forall ((C $$unsorted)) (not (and (tptp.r2_hidden C (tptp.k3_relat_1 A)) (not (= C B)) (tptp.r2_hidden (tptp.k4_tarski B C) A))))))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (forall ((B $$unsorted)) (= (tptp.r7_orders_1 A B) (and (tptp.r2_hidden B (tptp.k3_relat_1 A)) (forall ((C $$unsorted)) (not (and (tptp.r2_hidden C (tptp.k3_relat_1 A)) (not (= C B)) (tptp.r2_hidden (tptp.k4_tarski C B) A))))))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (forall ((B $$unsorted)) (= (tptp.r8_orders_1 A B) (and (tptp.r2_hidden B (tptp.k3_relat_1 A)) (forall ((C $$unsorted)) (=> (tptp.r2_hidden C (tptp.k3_relat_1 A)) (or (= C B) (tptp.r2_hidden (tptp.k4_tarski C B) A))))))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (forall ((B $$unsorted)) (= (tptp.r9_orders_1 A B) (and (tptp.r2_hidden B (tptp.k3_relat_1 A)) (forall ((C $$unsorted)) (=> (tptp.r2_hidden C (tptp.k3_relat_1 A)) (or (= C B) (tptp.r2_hidden (tptp.k4_tarski B C) A))))))))) true true true true (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (forall ((B $$unsorted)) (=> (and (tptp.r9_orders_1 A B) (tptp.v4_relat_2 A)) (tptp.r7_orders_1 A B))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (forall ((B $$unsorted)) (=> (and (tptp.r8_orders_1 A B) (tptp.v4_relat_2 A)) (tptp.r6_orders_1 A B))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (forall ((B $$unsorted)) (=> (and (tptp.r7_orders_1 A B) (tptp.v6_relat_2 A)) (tptp.r9_orders_1 A B))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (forall ((B $$unsorted)) (=> (and (tptp.r6_orders_1 A B) (tptp.v6_relat_2 A)) (tptp.r8_orders_1 A B))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (forall ((B $$unsorted) (C $$unsorted)) (=> (and (tptp.r2_hidden B C) (tptp.r8_orders_1 A B) (tptp.r1_tarski C (tptp.k3_relat_1 A)) (tptp.v1_relat_2 A)) (tptp.r4_orders_1 A C))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (forall ((B $$unsorted) (C $$unsorted)) (=> (and (tptp.r2_hidden B C) (tptp.r9_orders_1 A B) (tptp.r1_tarski C (tptp.k3_relat_1 A)) (tptp.v1_relat_2 A)) (tptp.r5_orders_1 A C))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (forall ((B $$unsorted)) (= (tptp.r7_orders_1 A B) (tptp.r6_orders_1 (tptp.k4_relat_1 A) B))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (forall ((B $$unsorted)) (= (tptp.r7_orders_1 (tptp.k4_relat_1 A) B) (tptp.r6_orders_1 A B))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (forall ((B $$unsorted)) (= (tptp.r9_orders_1 A B) (tptp.r8_orders_1 (tptp.k4_relat_1 A) B))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (forall ((B $$unsorted)) (= (tptp.r9_orders_1 (tptp.k4_relat_1 A) B) (tptp.r8_orders_1 A B))))) true true true true true true (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (forall ((B $$unsorted)) (not (and (tptp.r2_orders_1 A B) (= (tptp.k3_relat_1 A) B) (tptp.r4_orders_1 A B) (forall ((C $$unsorted)) (not (tptp.r6_orders_1 A C)))))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (forall ((B $$unsorted)) (not (and (tptp.r2_orders_1 A B) (= (tptp.k3_relat_1 A) B) (tptp.r5_orders_1 A B) (forall ((C $$unsorted)) (not (tptp.r7_orders_1 A C)))))))) (forall ((A $$unsorted)) (not (and (not (= A tptp.k1_xboole_0)) (forall ((B $$unsorted)) (not (and (tptp.r1_tarski B A) (tptp.v6_ordinal1 B) (forall ((C $$unsorted)) (not (and (tptp.r2_hidden C A) (forall ((D $$unsorted)) (=> (tptp.r2_hidden D B) (tptp.r1_tarski D C))))))))) (forall ((B $$unsorted)) (not (and (tptp.r2_hidden B A) (forall ((C $$unsorted)) (not (and (tptp.r2_hidden C A) (not (= C B)) (tptp.r1_tarski B C)))))))))) (forall ((A $$unsorted)) (not (and (not (= A tptp.k1_xboole_0)) (forall ((B $$unsorted)) (not (and (tptp.r1_tarski B A) (tptp.v6_ordinal1 B) (forall ((C $$unsorted)) (not (and (tptp.r2_hidden C A) (forall ((D $$unsorted)) (=> (tptp.r2_hidden D B) (tptp.r1_tarski C D))))))))) (forall ((B $$unsorted)) (not (and (tptp.r2_hidden B A) (forall ((C $$unsorted)) (not (and (tptp.r2_hidden C A) (not (= C B)) (tptp.r1_tarski C B)))))))))) (forall ((A $$unsorted)) (not (and (not (= A tptp.k1_xboole_0)) (forall ((B $$unsorted)) (=> (and (tptp.r1_tarski B A) (tptp.v6_ordinal1 B)) (or (= B tptp.k1_xboole_0) (tptp.r2_hidden (tptp.k3_tarski B) A)))) (forall ((B $$unsorted)) (not (and (tptp.r2_hidden B A) (forall ((C $$unsorted)) (not (and (tptp.r2_hidden C A) (not (= C B)) (tptp.r1_tarski B C)))))))))) (forall ((A $$unsorted)) (not (and (not (= A tptp.k1_xboole_0)) (forall ((B $$unsorted)) (=> (and (tptp.r1_tarski B A) (tptp.v6_ordinal1 B)) (or (= B tptp.k1_xboole_0) (tptp.r2_hidden (tptp.k1_setfam_1 B) A)))) (forall ((B $$unsorted)) (not (and (tptp.r2_hidden B A) (forall ((C $$unsorted)) (not (and (tptp.r2_hidden C A) (not (= C B)) (tptp.r1_tarski C B)))))))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (forall ((B $$unsorted)) (not (and (tptp.r2_orders_1 A B) (= (tptp.k3_relat_1 A) B) (forall ((C $$unsorted)) (=> (tptp.v1_relat_1 C) (not (and (tptp.r1_tarski A C) (tptp.r3_orders_1 C B) (= (tptp.k3_relat_1 C) B)))))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k3_relat_1 A))) (=> (tptp.v1_relat_1 A) (tptp.r1_tarski A (tptp.k2_zfmisc_1 _let_1 _let_1))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_2 A) (tptp.r1_tarski B (tptp.k3_relat_1 A))) (= (tptp.k3_relat_1 (tptp.k2_wellord1 A B)) B))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (forall ((B $$unsorted)) (=> (tptp.r1_relat_2 A B) (tptp.v1_relat_2 (tptp.k2_wellord1 A B)))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (forall ((B $$unsorted)) (=> (tptp.r8_relat_2 A B) (tptp.v8_relat_2 (tptp.k2_wellord1 A B)))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (forall ((B $$unsorted)) (=> (tptp.r4_relat_2 A B) (tptp.v4_relat_2 (tptp.k2_wellord1 A B)))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (forall ((B $$unsorted)) (=> (tptp.r6_relat_2 A B) (tptp.v6_relat_2 (tptp.k2_wellord1 A B)))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (forall ((B $$unsorted) (C $$unsorted)) (=> (and (tptp.r6_relat_2 A B) (tptp.r1_tarski C B)) (tptp.r6_relat_2 A C))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (forall ((B $$unsorted) (C $$unsorted)) (=> (and (tptp.r2_wellord1 A B) (tptp.r1_tarski C B)) (tptp.r2_wellord1 A C))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (=> (tptp.v6_relat_2 A) (tptp.v6_relat_2 (tptp.k4_relat_1 A))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (forall ((B $$unsorted)) (=> (tptp.r1_relat_2 A B) (tptp.r1_relat_2 (tptp.k4_relat_1 A) B))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (forall ((B $$unsorted)) (=> (tptp.r8_relat_2 A B) (tptp.r8_relat_2 (tptp.k4_relat_1 A) B))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (forall ((B $$unsorted)) (=> (tptp.r4_relat_2 A B) (tptp.r4_relat_2 (tptp.k4_relat_1 A) B))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (forall ((B $$unsorted)) (=> (tptp.r6_relat_2 A B) (tptp.r6_relat_2 (tptp.k4_relat_1 A) B))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (forall ((B $$unsorted)) (= (tptp.k4_relat_1 (tptp.k2_wellord1 A B)) (tptp.k2_wellord1 (tptp.k4_relat_1 A) B))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (= (tptp.k2_wellord1 A tptp.k1_xboole_0) tptp.k1_xboole_0))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted)) (not (and (tptp.v1_finset_1 B) (tptp.r1_tarski B (tptp.k2_relat_1 A)) (forall ((C $$unsorted)) (not (and (tptp.r1_tarski C (tptp.k1_relat_1 A)) (tptp.v1_finset_1 C) (= (tptp.k9_relat_1 A C) B))))))))) (=> (and (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.f1_s1_orders_1) (tptp.p1_s1_orders_1 A A))) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.f1_s1_orders_1) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.f1_s1_orders_1) (=> (and (tptp.p1_s1_orders_1 A B) (tptp.p1_s1_orders_1 B A)) (= A B)))))) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.f1_s1_orders_1) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.f1_s1_orders_1) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C tptp.f1_s1_orders_1) (=> (and (tptp.p1_s1_orders_1 A B) (tptp.p1_s1_orders_1 B C)) (tptp.p1_s1_orders_1 A C)))))))) (forall ((A $$unsorted)) (not (and (tptp.r1_tarski A tptp.f1_s1_orders_1) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.f1_s1_orders_1) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C tptp.f1_s1_orders_1) (not (and (tptp.r2_hidden B A) (tptp.r2_hidden C A) (not (tptp.p1_s1_orders_1 B C)) (not (tptp.p1_s1_orders_1 C B)))))))) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.f1_s1_orders_1) (exists ((C $$unsorted)) (and (tptp.m1_subset_1 C tptp.f1_s1_orders_1) (tptp.r2_hidden C A) (not (tptp.p1_s1_orders_1 C B)))))))))) (exists ((A $$unsorted)) (and (tptp.m1_subset_1 A tptp.f1_s1_orders_1) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.f1_s1_orders_1) (not (and (not (= A B)) (tptp.p1_s1_orders_1 A B)))))))) (=> (and (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.f1_s2_orders_1) (tptp.p1_s2_orders_1 A A))) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.f1_s2_orders_1) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.f1_s2_orders_1) (=> (and (tptp.p1_s2_orders_1 A B) (tptp.p1_s2_orders_1 B A)) (= A B)))))) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.f1_s2_orders_1) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.f1_s2_orders_1) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C tptp.f1_s2_orders_1) (=> (and (tptp.p1_s2_orders_1 A B) (tptp.p1_s2_orders_1 B C)) (tptp.p1_s2_orders_1 A C)))))))) (forall ((A $$unsorted)) (not (and (tptp.r1_tarski A tptp.f1_s2_orders_1) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.f1_s2_orders_1) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C tptp.f1_s2_orders_1) (not (and (tptp.r2_hidden B A) (tptp.r2_hidden C A) (not (tptp.p1_s2_orders_1 B C)) (not (tptp.p1_s2_orders_1 C B)))))))) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.f1_s2_orders_1) (exists ((C $$unsorted)) (and (tptp.m1_subset_1 C tptp.f1_s2_orders_1) (tptp.r2_hidden C A) (not (tptp.p1_s2_orders_1 B C)))))))))) (exists ((A $$unsorted)) (and (tptp.m1_subset_1 A tptp.f1_s2_orders_1) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.f1_s2_orders_1) (not (and (not (= A B)) (tptp.p1_s2_orders_1 B A)))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k3_tarski A))) (=> (tptp.m1_orders_1 B A) (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B A _let_1) (tptp.m2_relset_1 B A _let_1))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (exists ((B $$unsorted)) (tptp.m1_orders_1 B A)))) true (forall ((A $$unsorted)) (let ((_let_1 (tptp.k1_eqrel_1 A))) (and (tptp.v1_relat_1 _let_1) (tptp.v1_relat_2 _let_1) (tptp.v1_partfun1 _let_1 A A)))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k1_eqrel_1 A))) (and (tptp.v1_relat_1 _let_1) (tptp.v1_relat_2 _let_1) (tptp.v3_relat_2 _let_1) (tptp.v8_relat_2 _let_1) (tptp.v1_partfun1 _let_1 A A)))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (tptp.m1_eqrel_1 B A) (not (tptp.v1_xboole_0 B)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_eqrel_1 B A) (tptp.v1_setfam_1 B))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v3_relat_2 B) (tptp.v8_relat_2 B) (tptp.v1_partfun1 B A A) (tptp.m1_relset_1 B A A)) (not (tptp.v1_xboole_0 (tptp.k7_eqrel_1 A B))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k7_eqrel_1 A B))) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v3_relat_2 B) (tptp.v8_relat_2 B) (tptp.v1_partfun1 B A A) (tptp.m1_relset_1 B A A)) (and (not (tptp.v1_xboole_0 _let_1)) (tptp.v1_setfam_1 _let_1))))) (forall ((A $$unsorted)) (= (tptp.k1_eqrel_1 A) (tptp.k2_zfmisc_1 A A))) true true true (forall ((A $$unsorted)) (let ((_let_1 (tptp.k6_partfun1 A))) (and (tptp.r1_relat_2 _let_1 A) (tptp.r3_relat_2 _let_1 A) (tptp.r8_relat_2 _let_1 A)))) true (forall ((A $$unsorted)) (let ((_let_1 (tptp.k6_partfun1 A))) (and (tptp.v3_relat_2 _let_1) (tptp.v8_relat_2 _let_1) (tptp.v1_partfun1 _let_1 A A) (tptp.m2_relset_1 _let_1 A A)))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k1_eqrel_1 A))) (and (tptp.v3_relat_2 _let_1) (tptp.v8_relat_2 _let_1) (tptp.v1_partfun1 _let_1 A A) (tptp.m2_relset_1 _let_1 A A)))) true true true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_relat_2 C) (tptp.v1_partfun1 C A A) (tptp.m2_relset_1 C A A)) (=> (tptp.r2_hidden B A) (tptp.r2_hidden (tptp.k4_tarski B B) C)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.v3_relat_2 D) (tptp.v1_partfun1 D A A) (tptp.m2_relset_1 D A A)) (=> (tptp.r2_hidden (tptp.k4_tarski B C) D) (tptp.r2_hidden (tptp.k4_tarski C B) D)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (=> (and (tptp.v8_relat_2 E) (tptp.v1_partfun1 E A A) (tptp.m2_relset_1 E A A)) (=> (and (tptp.r2_hidden (tptp.k4_tarski B C) E) (tptp.r2_hidden (tptp.k4_tarski C D) E)) (tptp.r2_hidden (tptp.k4_tarski B D) E)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_relat_2 B) (tptp.v1_partfun1 B A A) (tptp.m2_relset_1 B A A)) (not (and (exists ((C $$unsorted)) (tptp.r2_hidden C A)) (= B tptp.k1_xboole_0))))) true (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.v8_relat_2 B))) (let ((_let_2 (tptp.v3_relat_2 B))) (let ((_let_3 (tptp.m2_relset_1 B A A))) (=> _let_3 (= (and _let_2 _let_1 (tptp.v1_partfun1 B A A) _let_3) (and (tptp.v1_relat_2 B) _let_2 _let_1 (= (tptp.k3_relat_1 B) A)))))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k6_partfun1 A))) (=> (and (tptp.v3_relat_2 B) (tptp.v8_relat_2 B) (tptp.v1_partfun1 B A A) (tptp.m2_relset_1 B A A)) (= (tptp.k4_eqrel_1 A _let_1 B) _let_1)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m2_relset_1 B A A) (= (tptp.k2_eqrel_1 A (tptp.k1_eqrel_1 A) B) B))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A A))) (let ((_let_2 (tptp.k6_setfam_1 _let_1 B))) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 _let_1))) (=> (forall ((C $$unsorted)) (=> (tptp.r2_hidden C B) (and (tptp.v3_relat_2 C) (tptp.v8_relat_2 C) (tptp.v1_partfun1 C A A) (tptp.m2_relset_1 C A A)))) (or (= B tptp.k1_xboole_0) (and (tptp.v3_relat_2 _let_2) (tptp.v8_relat_2 _let_2) (tptp.v1_partfun1 _let_2 A A) (tptp.m2_relset_1 _let_2 A A)))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m2_relset_1 B A A) (exists ((C $$unsorted)) (and (tptp.v3_relat_2 C) (tptp.v8_relat_2 C) (tptp.v1_partfun1 C A A) (tptp.m2_relset_1 C A A) (tptp.r1_tarski B C) (forall ((D $$unsorted)) (=> (and (tptp.v3_relat_2 D) (tptp.v8_relat_2 D) (tptp.v1_partfun1 D A A) (tptp.m2_relset_1 D A A)) (=> (tptp.r1_tarski B D) (tptp.r1_tarski C D)))))))) true (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v3_relat_2 B) (tptp.v8_relat_2 B) (tptp.v1_partfun1 B A A) (tptp.m2_relset_1 B A A)) (forall ((C $$unsorted)) (=> (and (tptp.v3_relat_2 C) (tptp.v8_relat_2 C) (tptp.v1_partfun1 C A A) (tptp.m2_relset_1 C A A)) (forall ((D $$unsorted)) (=> (and (tptp.v3_relat_2 D) (tptp.v8_relat_2 D) (tptp.v1_partfun1 D A A) (tptp.m2_relset_1 D A A)) (= (= D (tptp.k5_eqrel_1 A B C)) (and (tptp.r1_tarski (tptp.k3_eqrel_1 A B C) D) (forall ((E $$unsorted)) (=> (and (tptp.v3_relat_2 E) (tptp.v8_relat_2 E) (tptp.v1_partfun1 E A A) (tptp.m2_relset_1 E A A)) (=> (tptp.r1_tarski (tptp.k3_eqrel_1 A B C) E) (tptp.r1_tarski D E)))))))))))) true (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v3_relat_2 B) (tptp.v8_relat_2 B) (tptp.v1_partfun1 B A A) (tptp.m2_relset_1 B A A)) (= (tptp.k5_eqrel_1 A B B) B))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v3_relat_2 B) (tptp.v8_relat_2 B) (tptp.v1_partfun1 B A A) (tptp.m2_relset_1 B A A)) (forall ((C $$unsorted)) (=> (and (tptp.v3_relat_2 C) (tptp.v8_relat_2 C) (tptp.v1_partfun1 C A A) (tptp.m2_relset_1 C A A)) (= (tptp.k5_eqrel_1 A B C) (tptp.k5_eqrel_1 A C B)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v3_relat_2 B) (tptp.v8_relat_2 B) (tptp.v1_partfun1 B A A) (tptp.m2_relset_1 B A A)) (forall ((C $$unsorted)) (=> (and (tptp.v3_relat_2 C) (tptp.v8_relat_2 C) (tptp.v1_partfun1 C A A) (tptp.m2_relset_1 C A A)) (= (tptp.k4_eqrel_1 A B (tptp.k5_eqrel_1 A B C)) B))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v3_relat_2 B) (tptp.v8_relat_2 B) (tptp.v1_partfun1 B A A) (tptp.m2_relset_1 B A A)) (forall ((C $$unsorted)) (=> (and (tptp.v3_relat_2 C) (tptp.v8_relat_2 C) (tptp.v1_partfun1 C A A) (tptp.m2_relset_1 C A A)) (= (tptp.k5_eqrel_1 A B (tptp.k4_eqrel_1 A B C)) B))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_relat_2 B) (tptp.v3_relat_2 B) (tptp.v1_partfun1 B A A) (tptp.m2_relset_1 B A A)) (forall ((C $$unsorted)) (= (tptp.k6_eqrel_1 A B C) (tptp.k10_relset_1 A A B (tptp.k1_tarski C)))))) true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.v1_relat_2 D) (tptp.v3_relat_2 D) (tptp.v1_partfun1 D A A) (tptp.m2_relset_1 D A A)) (= (tptp.r2_hidden B (tptp.k6_eqrel_1 A D C)) (tptp.r2_hidden (tptp.k4_tarski B C) D)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_relat_2 B) (tptp.v3_relat_2 B) (tptp.v1_partfun1 B A A) (tptp.m2_relset_1 B A A)) (forall ((C $$unsorted)) (=> (tptp.r2_hidden C A) (tptp.r2_hidden C (tptp.k6_eqrel_1 A B C)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_relat_2 B) (tptp.v3_relat_2 B) (tptp.v1_partfun1 B A A) (tptp.m2_relset_1 B A A)) (forall ((C $$unsorted)) (not (and (tptp.r2_hidden C A) (forall ((D $$unsorted)) (not (tptp.r2_hidden C (tptp.k6_eqrel_1 A B D))))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (let ((_let_1 (tptp.k6_eqrel_1 A E C))) (=> (and (tptp.v1_relat_2 E) (tptp.v3_relat_2 E) (tptp.v8_relat_2 E) (tptp.v1_partfun1 E A A) (tptp.m2_relset_1 E A A)) (=> (and (tptp.r2_hidden B _let_1) (tptp.r2_hidden D _let_1)) (tptp.r2_hidden (tptp.k4_tarski B D) E))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v3_relat_2 C) (tptp.v8_relat_2 C) (tptp.v1_partfun1 C A A) (tptp.m2_relset_1 C A A)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k6_eqrel_1 A C D))) (=> (tptp.r2_hidden D A) (= (tptp.r2_hidden B _let_1) (= _let_1 (tptp.k6_eqrel_1 A C B)))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v3_relat_2 B) (tptp.v8_relat_2 B) (tptp.v1_partfun1 B A A) (tptp.m2_relset_1 B A A)) (forall ((C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k6_eqrel_1 A B D))) (let ((_let_2 (tptp.k6_eqrel_1 A B C))) (not (and (tptp.r2_hidden C A) (tptp.r2_hidden D A) (not (= _let_2 _let_1)) (not (tptp.r1_xboole_0 _let_2 _let_1))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.r2_hidden B A) (= (tptp.k6_eqrel_1 A (tptp.k6_partfun1 A) B) (tptp.k1_tarski B)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.r2_hidden B A) (= (tptp.k6_eqrel_1 A (tptp.k1_eqrel_1 A) B) A))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v3_relat_2 B) (tptp.v8_relat_2 B) (tptp.v1_partfun1 B A A) (tptp.m2_relset_1 B A A)) (=> (exists ((C $$unsorted)) (= (tptp.k6_eqrel_1 A B C) A)) (= B (tptp.k1_eqrel_1 A))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.v3_relat_2 D) (tptp.v8_relat_2 D) (tptp.v1_partfun1 D B B) (tptp.m2_relset_1 D B B)) (forall ((E $$unsorted)) (=> (and (tptp.v3_relat_2 E) (tptp.v8_relat_2 E) (tptp.v1_partfun1 E B B) (tptp.m2_relset_1 E B B)) (=> (tptp.r2_hidden A B) (= (tptp.r2_hidden (tptp.k4_tarski A C) (tptp.k5_eqrel_1 B D E)) (exists ((F $$unsorted)) (let ((_let_1 (tptp.k3_finseq_1 F))) (and (tptp.v1_relat_1 F) (tptp.v1_funct_1 F) (tptp.v1_finseq_1 F) (tptp.r1_xreal_0 tptp.np__1 _let_1) (= A (tptp.k1_funct_1 F tptp.np__1)) (= C (tptp.k1_funct_1 F _let_1)) (forall ((G $$unsorted)) (=> (tptp.m2_subset_1 G tptp.k1_numbers tptp.k5_numbers) (=> (tptp.r1_xreal_0 tptp.np__1 G) (or (tptp.r1_xreal_0 (tptp.k3_finseq_1 F) G) (tptp.r2_hidden (tptp.k4_tarski (tptp.k1_funct_1 F G) (tptp.k1_funct_1 F (tptp.k1_nat_1 G tptp.np__1))) (tptp.k3_eqrel_1 B D E))))))))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v3_relat_2 B) (tptp.v8_relat_2 B) (tptp.v1_partfun1 B A A) (tptp.m2_relset_1 B A A)) (forall ((C $$unsorted)) (=> (and (tptp.v3_relat_2 C) (tptp.v8_relat_2 C) (tptp.v1_partfun1 C A A) (tptp.m2_relset_1 C A A)) (forall ((D $$unsorted)) (=> (and (tptp.v3_relat_2 D) (tptp.v8_relat_2 D) (tptp.v1_partfun1 D A A) (tptp.m2_relset_1 D A A)) (=> (= D (tptp.k3_eqrel_1 A B C)) (forall ((E $$unsorted)) (let ((_let_1 (tptp.k6_eqrel_1 A D E))) (not (and (tptp.r2_hidden E A) (not (= _let_1 (tptp.k6_eqrel_1 A B E))) (not (= _let_1 (tptp.k6_eqrel_1 A C E)))))))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v3_relat_2 B) (tptp.v8_relat_2 B) (tptp.v1_partfun1 B A A) (tptp.m2_relset_1 B A A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k1_eqrel_1 A))) (=> (and (tptp.v3_relat_2 C) (tptp.v8_relat_2 C) (tptp.v1_partfun1 C A A) (tptp.m2_relset_1 C A A)) (not (and (= (tptp.k3_eqrel_1 A B C) _let_1) (not (= B _let_1)) (not (= C _let_1))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v3_relat_2 B) (tptp.v8_relat_2 B) (tptp.v1_partfun1 B A A) (tptp.m2_relset_1 B A A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 A))) (= (= C (tptp.k7_eqrel_1 A B)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 A)) (= (tptp.r2_hidden D C) (exists ((E $$unsorted)) (and (tptp.r2_hidden E A) (= D (tptp.k6_eqrel_1 A B E)))))))))))) true (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v3_relat_2 B) (tptp.v8_relat_2 B) (tptp.v1_partfun1 B A A) (tptp.m2_relset_1 B A A)) (=> (= A tptp.k1_xboole_0) (= (tptp.k7_eqrel_1 A B) tptp.k1_xboole_0)))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.m1_eqrel_1 B A))) (let ((_let_2 (= A tptp.k1_xboole_0))) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 A))) (and (=> (not _let_2) (= _let_1 (and (= (tptp.k5_setfam_1 A B) A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 A)) (=> (tptp.r2_hidden C B) (and (not (= C tptp.k1_xboole_0)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 A)) (not (and (tptp.r2_hidden D B) (not (= C D)) (not (tptp.r1_xboole_0 C D))))))))))))) (=> _let_2 (= _let_1 (= B tptp.k1_xboole_0)))))))) true (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v3_relat_2 B) (tptp.v8_relat_2 B) (tptp.v1_partfun1 B A A) (tptp.m2_relset_1 B A A)) (tptp.m1_eqrel_1 (tptp.k7_eqrel_1 A B) A))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_eqrel_1 B A) (exists ((C $$unsorted)) (and (tptp.v3_relat_2 C) (tptp.v8_relat_2 C) (tptp.v1_partfun1 C A A) (tptp.m2_relset_1 C A A) (= B (tptp.k7_eqrel_1 A C)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v3_relat_2 C) (tptp.v8_relat_2 C) (tptp.v1_partfun1 C A A) (tptp.m2_relset_1 C A A)) (forall ((D $$unsorted)) (=> (tptp.r2_hidden D A) (= (tptp.r2_hidden (tptp.k4_tarski D B) C) (= (tptp.k6_eqrel_1 A C D) (tptp.k6_eqrel_1 A C B))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v3_relat_2 C) (tptp.v8_relat_2 C) (tptp.v1_partfun1 C B B) (tptp.m2_relset_1 C B B)) (not (and (tptp.r2_hidden A (tptp.k7_eqrel_1 B C)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D B) (not (= A (tptp.k6_eqrel_1 B C D))))))))) (=> (and (forall ((A $$unsorted)) (=> (tptp.r2_hidden A tptp.f1_s1_eqrel_1) (tptp.p1_s1_eqrel_1 A A))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.p1_s1_eqrel_1 A B) (tptp.p1_s1_eqrel_1 B A))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.p1_s1_eqrel_1 A B) (tptp.p1_s1_eqrel_1 B C)) (tptp.p1_s1_eqrel_1 A C)))) (exists ((A $$unsorted)) (and (tptp.v3_relat_2 A) (tptp.v8_relat_2 A) (tptp.v1_partfun1 A tptp.f1_s1_eqrel_1 tptp.f1_s1_eqrel_1) (tptp.m2_relset_1 A tptp.f1_s1_eqrel_1 tptp.f1_s1_eqrel_1) (forall ((B $$unsorted) (C $$unsorted)) (= (tptp.r2_hidden (tptp.k4_tarski B C) A) (and (tptp.r2_hidden B tptp.f1_s1_eqrel_1) (tptp.r2_hidden C tptp.f1_s1_eqrel_1) (tptp.p1_s1_eqrel_1 B C))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_eqrel_1 B A) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 A))))) (forall ((A $$unsorted)) (exists ((B $$unsorted)) (tptp.m1_eqrel_1 B A))) (forall ((A $$unsorted)) (tptp.m2_relset_1 (tptp.k1_eqrel_1 A) A A)) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.m1_relset_1 B A A) (tptp.m1_relset_1 C A A)) (tptp.m2_relset_1 (tptp.k2_eqrel_1 A B C) A A))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.m1_relset_1 B A A) (tptp.m1_relset_1 C A A)) (= (tptp.k2_eqrel_1 A B C) (tptp.k2_eqrel_1 A C B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.m1_relset_1 B A A) (tptp.m1_relset_1 C A A)) (= (tptp.k2_eqrel_1 A B B) B))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.m1_relset_1 B A A) (tptp.m1_relset_1 C A A)) (= (tptp.k2_eqrel_1 A B C) (tptp.k3_xboole_0 B C)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.m1_relset_1 B A A) (tptp.m1_relset_1 C A A)) (tptp.m2_relset_1 (tptp.k3_eqrel_1 A B C) A A))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.m1_relset_1 B A A) (tptp.m1_relset_1 C A A)) (= (tptp.k3_eqrel_1 A B C) (tptp.k3_eqrel_1 A C B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.m1_relset_1 B A A) (tptp.m1_relset_1 C A A)) (= (tptp.k3_eqrel_1 A B B) B))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.m1_relset_1 B A A) (tptp.m1_relset_1 C A A)) (= (tptp.k3_eqrel_1 A B C) (tptp.k2_xboole_0 B C)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k4_eqrel_1 A B C))) (=> (and (tptp.v3_relat_2 B) (tptp.v8_relat_2 B) (tptp.v1_partfun1 B A A) (tptp.m1_relset_1 B A A) (tptp.v3_relat_2 C) (tptp.v8_relat_2 C) (tptp.v1_partfun1 C A A) (tptp.m1_relset_1 C A A)) (and (tptp.v3_relat_2 _let_1) (tptp.v8_relat_2 _let_1) (tptp.v1_partfun1 _let_1 A A) (tptp.m2_relset_1 _let_1 A A))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v3_relat_2 B) (tptp.v8_relat_2 B) (tptp.v1_partfun1 B A A) (tptp.m1_relset_1 B A A) (tptp.v3_relat_2 C) (tptp.v8_relat_2 C) (tptp.v1_partfun1 C A A) (tptp.m1_relset_1 C A A)) (= (tptp.k4_eqrel_1 A B C) (tptp.k4_eqrel_1 A C B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v3_relat_2 B) (tptp.v8_relat_2 B) (tptp.v1_partfun1 B A A) (tptp.m1_relset_1 B A A) (tptp.v3_relat_2 C) (tptp.v8_relat_2 C) (tptp.v1_partfun1 C A A) (tptp.m1_relset_1 C A A)) (= (tptp.k4_eqrel_1 A B B) B))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v3_relat_2 B) (tptp.v8_relat_2 B) (tptp.v1_partfun1 B A A) (tptp.m1_relset_1 B A A) (tptp.v3_relat_2 C) (tptp.v8_relat_2 C) (tptp.v1_partfun1 C A A) (tptp.m1_relset_1 C A A)) (= (tptp.k4_eqrel_1 A B C) (tptp.k3_xboole_0 B C)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k5_eqrel_1 A B C))) (=> (and (tptp.v3_relat_2 B) (tptp.v8_relat_2 B) (tptp.v1_partfun1 B A A) (tptp.m1_relset_1 B A A) (tptp.v3_relat_2 C) (tptp.v8_relat_2 C) (tptp.v1_partfun1 C A A) (tptp.m1_relset_1 C A A)) (and (tptp.v3_relat_2 _let_1) (tptp.v8_relat_2 _let_1) (tptp.v1_partfun1 _let_1 A A) (tptp.m2_relset_1 _let_1 A A))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v3_relat_2 B) (tptp.v8_relat_2 B) (tptp.v1_partfun1 B A A) (tptp.m1_relset_1 B A A) (tptp.v3_relat_2 C) (tptp.v8_relat_2 C) (tptp.v1_partfun1 C A A) (tptp.m1_relset_1 C A A)) (= (tptp.k5_eqrel_1 A B C) (tptp.k5_eqrel_1 A C B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v3_relat_2 B) (tptp.v8_relat_2 B) (tptp.v1_partfun1 B A A) (tptp.m1_relset_1 B A A) (tptp.v3_relat_2 C) (tptp.v8_relat_2 C) (tptp.v1_partfun1 C A A) (tptp.m1_relset_1 C A A)) (= (tptp.k5_eqrel_1 A B B) B))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_relat_2 B) (tptp.v3_relat_2 B) (tptp.v1_partfun1 B A A) (tptp.m1_relset_1 B A A)) (tptp.m1_subset_1 (tptp.k6_eqrel_1 A B C) (tptp.k1_zfmisc_1 A)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v3_relat_2 B) (tptp.v8_relat_2 B) (tptp.v1_partfun1 B A A) (tptp.m1_relset_1 B A A)) (tptp.m1_subset_1 (tptp.k7_eqrel_1 A B) (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 A))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v3_relat_2 B) (tptp.v8_relat_2 B) (tptp.v1_partfun1 B A A) (tptp.m1_relset_1 B A A)) (tptp.m1_eqrel_1 (tptp.k8_eqrel_1 A B) A))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v3_relat_2 B) (tptp.v8_relat_2 B) (tptp.v1_partfun1 B A A) (tptp.m1_relset_1 B A A)) (= (tptp.k8_eqrel_1 A B) (tptp.k7_eqrel_1 A B)))) (= (tptp.k2_finseq_1 tptp.np__3) (tptp.k1_enumset1 tptp.np__1 tptp.np__2 tptp.np__3)) (= (tptp.k2_finseq_1 tptp.np__4) (tptp.k2_enumset1 tptp.np__1 tptp.np__2 tptp.np__3 tptp.np__4)) (= (tptp.k2_finseq_1 tptp.np__5) (tptp.k3_enumset1 tptp.np__1 tptp.np__2 tptp.np__3 tptp.np__4 tptp.np__5)) (= (tptp.k2_finseq_1 tptp.np__6) (tptp.k4_enumset1 tptp.np__1 tptp.np__2 tptp.np__3 tptp.np__4 tptp.np__5 tptp.np__6)) (= (tptp.k2_finseq_1 tptp.np__7) (tptp.k5_enumset1 tptp.np__1 tptp.np__2 tptp.np__3 tptp.np__4 tptp.np__5 tptp.np__6 tptp.np__7)) (= (tptp.k2_finseq_1 tptp.np__8) (tptp.k6_enumset1 tptp.np__1 tptp.np__2 tptp.np__3 tptp.np__4 tptp.np__5 tptp.np__6 tptp.np__7 tptp.np__8)) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k2_finseq_1 A))) (=> (tptp.v4_ordinal2 A) (= (= _let_1 tptp.k1_xboole_0) (not (tptp.r2_hidden A _let_1)))))) true (forall ((A $$unsorted)) (=> (tptp.v4_ordinal2 A) (not (tptp.r2_hidden (tptp.k2_xcmplx_0 A tptp.np__1) (tptp.k2_finseq_1 A))))) (forall ((A $$unsorted)) (=> (tptp.v4_ordinal2 A) (forall ((B $$unsorted)) (=> (tptp.v4_ordinal2 B) (=> (not (= A tptp.np__0)) (tptp.r2_hidden A (tptp.k2_finseq_1 (tptp.k2_xcmplx_0 A B)))))))) (forall ((A $$unsorted)) (=> (tptp.v4_ordinal2 A) (forall ((B $$unsorted)) (=> (tptp.v4_ordinal2 B) (=> (tptp.r2_hidden (tptp.k2_xcmplx_0 A B) (tptp.k2_finseq_1 A)) (= B tptp.np__0)))))) (forall ((A $$unsorted)) (=> (tptp.v4_ordinal2 A) (forall ((B $$unsorted)) (=> (tptp.v4_ordinal2 B) (=> (not (tptp.r1_xreal_0 B A)) (tptp.r2_hidden (tptp.k2_xcmplx_0 A tptp.np__1) (tptp.k2_finseq_1 B))))))) (forall ((A $$unsorted)) (=> (tptp.v4_ordinal2 A) (forall ((B $$unsorted)) (=> (tptp.v4_ordinal2 B) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k2_finseq_1 B))) (=> (tptp.v4_ordinal2 C) (=> (tptp.r2_hidden A _let_1) (or (tptp.r1_xreal_0 A C) (tptp.r2_hidden (tptp.k6_xcmplx_0 A C) _let_1)))))))))) (forall ((A $$unsorted)) (=> (tptp.v4_ordinal2 A) (forall ((B $$unsorted)) (=> (tptp.v4_ordinal2 B) (= (tptp.r2_hidden (tptp.k6_xcmplx_0 A B) (tptp.k2_finseq_1 A)) (not (tptp.r1_xreal_0 A B))))))) (forall ((A $$unsorted)) (=> (tptp.v4_ordinal2 A) (tptp.r1_xboole_0 (tptp.k2_finseq_1 A) (tptp.k1_tarski (tptp.k2_xcmplx_0 A tptp.np__1))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k2_xcmplx_0 A tptp.np__1))) (=> (tptp.v4_ordinal2 A) (= (tptp.k6_subset_1 tptp.k5_numbers (tptp.k2_finseq_1 _let_1) (tptp.k2_finseq_1 A)) (tptp.k1_tarski _let_1))))) (forall ((A $$unsorted)) (=> (tptp.v4_ordinal2 A) (not (= (tptp.k2_finseq_1 A) (tptp.k2_finseq_1 (tptp.k2_xcmplx_0 A tptp.np__1)))))) (forall ((A $$unsorted)) (=> (tptp.v4_ordinal2 A) (forall ((B $$unsorted)) (=> (tptp.v4_ordinal2 B) (=> (= (tptp.k2_finseq_1 A) (tptp.k2_finseq_1 (tptp.k2_xcmplx_0 A B))) (= B tptp.np__0)))))) (forall ((A $$unsorted)) (=> (tptp.v4_ordinal2 A) (forall ((B $$unsorted)) (=> (tptp.v4_ordinal2 B) (tptp.r1_tarski (tptp.k2_finseq_1 A) (tptp.k2_finseq_1 (tptp.k2_xcmplx_0 A B))))))) (forall ((A $$unsorted)) (=> (tptp.v4_ordinal2 A) (forall ((B $$unsorted)) (=> (tptp.v4_ordinal2 B) (tptp.r3_xboole_0 (tptp.k2_finseq_1 A) (tptp.k2_finseq_1 B)))))) true (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.v4_ordinal2 B) (=> (= (tptp.k2_finseq_1 B) (tptp.k1_tarski A)) (and (= B tptp.np__1) (= A tptp.np__1))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k2_tarski A B))) (=> (tptp.v4_ordinal2 C) (=> (= (tptp.k2_finseq_1 C) _let_1) (or (= A B) (and (= C tptp.np__2) (= _let_1 (tptp.k2_tarski tptp.np__1 tptp.np__2)))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_finseq_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (tptp.v1_finseq_1 B)) (forall ((C $$unsorted)) (=> (tptp.r2_hidden C (tptp.k4_finseq_1 A)) (tptp.r2_hidden C (tptp.k4_finseq_1 (tptp.k7_finseq_1 A B))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_finseq_1 A)) (forall ((B $$unsorted)) (=> (tptp.r2_hidden B (tptp.k4_finseq_1 A)) (tptp.m2_subset_1 B tptp.k1_numbers tptp.k5_numbers))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_finseq_1 A)) (forall ((B $$unsorted)) (not (and (tptp.r2_hidden B (tptp.k4_finseq_1 A)) (= B tptp.np__0)))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_finseq_1 A)) (forall ((B $$unsorted)) (=> (tptp.v4_ordinal2 B) (= (tptp.r2_hidden B (tptp.k4_finseq_1 A)) (and (tptp.r1_xreal_0 tptp.np__1 B) (tptp.r1_xreal_0 B (tptp.k3_finseq_1 A)))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_finseq_1 A)) (forall ((B $$unsorted)) (=> (tptp.v4_ordinal2 B) (= (tptp.r2_hidden B (tptp.k4_finseq_1 A)) (and (tptp.m2_subset_1 (tptp.k6_xcmplx_0 B tptp.np__1) tptp.k1_numbers tptp.k5_numbers) (tptp.m2_subset_1 (tptp.k6_xcmplx_0 (tptp.k3_finseq_1 A) B) tptp.k1_numbers tptp.k5_numbers))))))) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.k4_finseq_1 (tptp.k10_finseq_1 A B)) (tptp.k2_finseq_1 tptp.np__2))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.k4_finseq_1 (tptp.k11_finseq_1 A B C)) (tptp.k2_finseq_1 tptp.np__3))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_finseq_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (tptp.v1_finseq_1 B)) (= (= (tptp.k3_finseq_1 A) (tptp.k3_finseq_1 B)) (= (tptp.k4_finseq_1 A) (tptp.k4_finseq_1 B))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_finseq_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (tptp.v1_finseq_1 B)) (= (tptp.r1_xreal_0 (tptp.k3_finseq_1 A) (tptp.k3_finseq_1 B)) (tptp.r1_tarski (tptp.k4_finseq_1 A) (tptp.k4_finseq_1 B))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_finseq_1 A)) (forall ((B $$unsorted)) (=> (tptp.r2_hidden B (tptp.k2_relat_1 A)) (tptp.r2_hidden tptp.np__1 (tptp.k4_finseq_1 A)))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_finseq_1 A)) (=> (not (= (tptp.k2_relat_1 A) tptp.k1_xboole_0)) (tptp.r2_hidden tptp.np__1 (tptp.k4_finseq_1 A))))) true true true (forall ((A $$unsorted) (B $$unsorted)) (not (= tptp.k1_xboole_0 (tptp.k10_finseq_1 A B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (not (= tptp.k1_xboole_0 (tptp.k11_finseq_1 A B C)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (not (= (tptp.k9_finseq_1 A) (tptp.k10_finseq_1 B C)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (not (= (tptp.k9_finseq_1 A) (tptp.k11_finseq_1 B C D)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (not (= (tptp.k10_finseq_1 A B) (tptp.k11_finseq_1 C D E)))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_finseq_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (tptp.v1_finseq_1 B)) (forall ((C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C) (tptp.v1_finseq_1 C)) (=> (and (= (tptp.k3_finseq_1 A) (tptp.k1_nat_1 (tptp.k3_finseq_1 B) (tptp.k3_finseq_1 C))) (forall ((D $$unsorted)) (=> (tptp.m2_subset_1 D tptp.k1_numbers tptp.k5_numbers) (=> (tptp.r2_hidden D (tptp.k4_finseq_1 B)) (= (tptp.k1_funct_1 A D) (tptp.k1_funct_1 B D))))) (forall ((D $$unsorted)) (=> (tptp.m2_subset_1 D tptp.k1_numbers tptp.k5_numbers) (=> (tptp.r2_hidden D (tptp.k4_finseq_1 C)) (= (tptp.k1_funct_1 A (tptp.k1_nat_1 (tptp.k3_finseq_1 B) D)) (tptp.k1_funct_1 C D)))))) (= A (tptp.k7_finseq_1 B C))))))))) (forall ((A $$unsorted)) (=> (tptp.v4_ordinal2 A) (forall ((B $$unsorted)) (=> (tptp.v1_finset_1 B) (=> (tptp.r1_tarski B (tptp.k2_finseq_1 A)) (= (tptp.k3_finseq_1 (tptp.k14_finseq_1 B)) (tptp.k4_card_1 B))))))) (forall ((A $$unsorted)) (=> (tptp.v4_ordinal2 A) (forall ((B $$unsorted)) (=> (tptp.v1_finset_1 B) (=> (tptp.r1_tarski B (tptp.k2_finseq_1 A)) (= (tptp.k4_finseq_1 (tptp.k14_finseq_1 B)) (tptp.k2_finseq_1 (tptp.k4_card_1 B)))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.v4_ordinal2 B) (forall ((C $$unsorted)) (=> (tptp.v4_ordinal2 C) (forall ((D $$unsorted)) (=> (tptp.v4_ordinal2 D) (forall ((E $$unsorted)) (=> (tptp.v4_ordinal2 E) (forall ((F $$unsorted)) (let ((_let_1 (tptp.k14_finseq_1 A))) (=> (tptp.v4_ordinal2 F) (not (and (tptp.r1_tarski A (tptp.k2_finseq_1 B)) (not (tptp.r1_xreal_0 D C)) (tptp.r1_xreal_0 tptp.np__1 E) (tptp.r1_xreal_0 F (tptp.k3_finseq_1 _let_1)) (= (tptp.k1_funct_1 _let_1 F) C) (= (tptp.k1_funct_1 _let_1 E) D) (tptp.r1_xreal_0 E F)))))))))))))) true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.v4_ordinal2 C) (forall ((D $$unsorted)) (=> (tptp.v4_ordinal2 D) (=> (and (tptp.r1_tarski A (tptp.k2_finseq_1 C)) (tptp.r1_tarski B (tptp.k2_finseq_1 D))) (= (forall ((E $$unsorted)) (=> (tptp.m2_subset_1 E tptp.k1_numbers tptp.k5_numbers) (forall ((F $$unsorted)) (=> (tptp.m2_subset_1 F tptp.k1_numbers tptp.k5_numbers) (not (and (tptp.r2_hidden E A) (tptp.r2_hidden F B) (tptp.r1_xreal_0 F E))))))) (= (tptp.k14_finseq_1 (tptp.k2_xboole_0 A B)) (tptp.k8_finseq_1 tptp.k5_numbers (tptp.k14_finseq_1 A) (tptp.k14_finseq_1 B))))))))) (= (tptp.k14_finseq_1 tptp.k1_xboole_0) tptp.k1_xboole_0) (forall ((A $$unsorted)) (=> (tptp.v4_ordinal2 A) (=> (not (= tptp.np__0 A)) (= (tptp.k14_finseq_1 (tptp.k1_tarski A)) (tptp.k9_finseq_1 A))))) (forall ((A $$unsorted)) (=> (tptp.v4_ordinal2 A) (forall ((B $$unsorted)) (=> (tptp.v4_ordinal2 B) (not (and (not (tptp.r1_xreal_0 A tptp.np__0)) (not (tptp.r1_xreal_0 B A)) (not (= (tptp.k14_finseq_1 (tptp.k2_tarski A B)) (tptp.k10_finseq_1 A B))))))))) (forall ((A $$unsorted)) (=> (tptp.v4_ordinal2 A) (= (tptp.k3_finseq_1 (tptp.k14_finseq_1 (tptp.k2_finseq_1 A))) A))) (forall ((A $$unsorted)) (=> (tptp.v4_ordinal2 A) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k2_finseq_1 A))) (=> (tptp.v4_ordinal2 B) (= (tptp.k7_relat_1 (tptp.k14_finseq_1 (tptp.k2_finseq_1 (tptp.k2_xcmplx_0 A B))) _let_1) (tptp.k14_finseq_1 _let_1))))))) (forall ((A $$unsorted)) (=> (tptp.v4_ordinal2 A) (= (tptp.k14_finseq_1 (tptp.k2_finseq_1 A)) (tptp.k1_finseq_2 A)))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_finseq_1 A)) (forall ((B $$unsorted)) (=> (tptp.v4_ordinal2 B) (= (= (tptp.k7_relat_1 A (tptp.k2_finseq_1 B)) A) (tptp.r1_xreal_0 (tptp.k3_finseq_1 A) B)))))) (forall ((A $$unsorted)) (=> (tptp.v4_ordinal2 A) (forall ((B $$unsorted)) (=> (tptp.v4_ordinal2 B) (= (tptp.k7_relat_1 (tptp.k1_finseq_2 (tptp.k2_xcmplx_0 A B)) (tptp.k2_finseq_1 A)) (tptp.k1_finseq_2 A)))))) (forall ((A $$unsorted)) (=> (tptp.v4_ordinal2 A) (forall ((B $$unsorted)) (=> (tptp.v4_ordinal2 B) (= (= (tptp.k7_relat_1 (tptp.k1_finseq_2 A) (tptp.k2_finseq_1 B)) (tptp.k1_finseq_2 B)) (tptp.r1_xreal_0 B A)))))) (forall ((A $$unsorted)) (=> (tptp.v4_ordinal2 A) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k1_finseq_2 A))) (=> (tptp.v4_ordinal2 B) (= (= (tptp.k7_relat_1 _let_1 (tptp.k2_finseq_1 B)) _let_1) (tptp.r1_xreal_0 A B))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_finseq_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (tptp.v1_finseq_1 B)) (forall ((C $$unsorted)) (=> (tptp.v4_ordinal2 C) (forall ((D $$unsorted)) (=> (tptp.v4_ordinal2 D) (=> (and (= (tptp.k3_finseq_1 A) (tptp.k2_xcmplx_0 C D)) (= B (tptp.k7_relat_1 A (tptp.k2_finseq_1 C)))) (= (tptp.k3_finseq_1 B) C)))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_finseq_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (tptp.v1_finseq_1 B)) (forall ((C $$unsorted)) (=> (tptp.v4_ordinal2 C) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k2_finseq_1 C))) (=> (tptp.v4_ordinal2 D) (=> (and (= (tptp.k3_finseq_1 A) (tptp.k2_xcmplx_0 C D)) (= B (tptp.k7_relat_1 A _let_1))) (= (tptp.k4_finseq_1 B) _let_1))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_finseq_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (tptp.v1_finseq_1 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k2_xcmplx_0 C tptp.np__1))) (=> (tptp.v4_ordinal2 C) (=> (and (= (tptp.k3_finseq_1 A) _let_1) (= B (tptp.k7_relat_1 A (tptp.k2_finseq_1 C)))) (= A (tptp.k7_finseq_1 B (tptp.k9_finseq_1 (tptp.k1_funct_1 A _let_1)))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_finseq_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k7_relat_1 A B))) (= (and (tptp.v1_relat_1 _let_1) (tptp.v1_funct_1 _let_1) (tptp.v1_finseq_1 _let_1)) (exists ((C $$unsorted)) (and (tptp.m2_subset_1 C tptp.k1_numbers tptp.k5_numbers) (= (tptp.k3_xboole_0 B (tptp.k4_finseq_1 A)) (tptp.k2_finseq_1 C))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_finseq_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (tptp.v1_finseq_1 B)) (forall ((C $$unsorted)) (= (tptp.k4_card_1 (tptp.k10_relat_1 (tptp.k7_finseq_1 A B) C)) (tptp.k1_nat_1 (tptp.k4_card_1 (tptp.k10_relat_1 A C)) (tptp.k4_card_1 (tptp.k10_relat_1 B C))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_finseq_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (tptp.v1_finseq_1 B)) (forall ((C $$unsorted)) (tptp.r1_tarski (tptp.k10_relat_1 A C) (tptp.k10_relat_1 (tptp.k7_finseq_1 A B) C))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_finseq_1 A)) (forall ((B $$unsorted)) (= (tptp.k1_finseq_3 A B) (tptp.k5_relat_1 (tptp.k14_finseq_1 (tptp.k4_xboole_0 (tptp.k4_finseq_1 A) (tptp.k10_relat_1 A B))) A))))) true (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_finseq_1 A)) (forall ((B $$unsorted)) (= (tptp.k3_finseq_1 (tptp.k1_finseq_3 A B)) (tptp.k6_xcmplx_0 (tptp.k3_finseq_1 A) (tptp.k4_card_1 (tptp.k10_relat_1 A B))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_finseq_1 A)) (forall ((B $$unsorted)) (tptp.r1_xreal_0 (tptp.k3_finseq_1 (tptp.k1_finseq_3 A B)) (tptp.k3_finseq_1 A))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_finseq_1 A)) (forall ((B $$unsorted)) (=> (= (tptp.k3_finseq_1 (tptp.k1_finseq_3 A B)) (tptp.k3_finseq_1 A)) (tptp.r1_xboole_0 B (tptp.k2_relat_1 A)))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_finseq_1 A)) (forall ((B $$unsorted) (C $$unsorted)) (=> (tptp.v4_ordinal2 C) (=> (= C (tptp.k6_xcmplx_0 (tptp.k3_finseq_1 A) (tptp.k4_card_1 (tptp.k10_relat_1 A B)))) (= (tptp.k4_finseq_1 (tptp.k1_finseq_3 A B)) (tptp.k2_finseq_1 C))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_finseq_1 A)) (forall ((B $$unsorted)) (tptp.r1_tarski (tptp.k4_finseq_1 (tptp.k1_finseq_3 A B)) (tptp.k4_finseq_1 A))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_finseq_1 A)) (forall ((B $$unsorted)) (=> (= (tptp.k4_finseq_1 (tptp.k1_finseq_3 A B)) (tptp.k4_finseq_1 A)) (tptp.r1_xboole_0 B (tptp.k2_relat_1 A)))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_finseq_1 A)) (forall ((B $$unsorted)) (= (tptp.k2_relat_1 (tptp.k1_finseq_3 A B)) (tptp.k4_xboole_0 (tptp.k2_relat_1 A) B))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_finseq_1 A)) (forall ((B $$unsorted)) (tptp.r1_tarski (tptp.k2_relat_1 (tptp.k1_finseq_3 A B)) (tptp.k2_relat_1 A))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_finseq_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k2_relat_1 A))) (=> (= (tptp.k2_relat_1 (tptp.k1_finseq_3 A B)) _let_1) (tptp.r1_xboole_0 B _let_1)))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_finseq_1 A)) (forall ((B $$unsorted)) (= (= (tptp.k1_finseq_3 A B) tptp.k1_xboole_0) (tptp.r1_tarski (tptp.k2_relat_1 A) B))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_finseq_1 A)) (forall ((B $$unsorted)) (= (= (tptp.k1_finseq_3 A B) A) (tptp.r1_xboole_0 B (tptp.k2_relat_1 A)))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_finseq_1 A)) (forall ((B $$unsorted)) (= (= (tptp.k1_finseq_3 A (tptp.k1_tarski B)) A) (not (tptp.r2_hidden B (tptp.k2_relat_1 A))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_finseq_1 A)) (= (tptp.k1_finseq_3 A tptp.k1_xboole_0) A))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_finseq_1 A)) (= (tptp.k1_finseq_3 A (tptp.k2_relat_1 A)) tptp.k1_xboole_0))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_finseq_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (tptp.v1_finseq_1 B)) (forall ((C $$unsorted)) (= (tptp.k1_finseq_3 (tptp.k7_finseq_1 A B) C) (tptp.k7_finseq_1 (tptp.k1_finseq_3 A C) (tptp.k1_finseq_3 B C)))))))) (forall ((A $$unsorted)) (= (tptp.k1_finseq_3 tptp.k1_xboole_0 A) tptp.k1_xboole_0)) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k9_finseq_1 A))) (= (= (tptp.k1_finseq_3 _let_1 B) _let_1) (not (tptp.r2_hidden A B))))) (forall ((A $$unsorted) (B $$unsorted)) (= (= (tptp.k1_finseq_3 (tptp.k9_finseq_1 A) B) tptp.k1_xboole_0) (tptp.r2_hidden A B))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (= (tptp.k1_finseq_3 (tptp.k10_finseq_1 A B) C) tptp.k1_xboole_0) (and (tptp.r2_hidden A C) (tptp.r2_hidden B C)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.r2_hidden A B) (or (tptp.r2_hidden C B) (= (tptp.k1_finseq_3 (tptp.k10_finseq_1 A C) B) (tptp.k9_finseq_1 C))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (= (tptp.k1_finseq_3 (tptp.k10_finseq_1 A B) C) (tptp.k9_finseq_1 B)) (or (= A B) (and (tptp.r2_hidden A C) (not (tptp.r2_hidden B C)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.r2_hidden C B) (or (tptp.r2_hidden A B) (= (tptp.k1_finseq_3 (tptp.k10_finseq_1 A C) B) (tptp.k9_finseq_1 A))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (= (tptp.k1_finseq_3 (tptp.k10_finseq_1 A B) C) (tptp.k9_finseq_1 A)) (or (= A B) (and (not (tptp.r2_hidden A C)) (tptp.r2_hidden B C))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k10_finseq_1 A B))) (= (= (tptp.k1_finseq_3 _let_1 C) _let_1) (and (not (tptp.r2_hidden A C)) (not (tptp.r2_hidden B C)))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_finseq_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (tptp.v1_finseq_1 B)) (forall ((C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k2_xcmplx_0 D tptp.np__1))) (=> (tptp.v4_ordinal2 D) (=> (and (= (tptp.k3_finseq_1 A) _let_1) (= B (tptp.k7_relat_1 A (tptp.k2_finseq_1 D)))) (= (tptp.r2_hidden (tptp.k1_funct_1 A _let_1) C) (= (tptp.k1_finseq_3 A C) (tptp.k1_finseq_3 B C))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_finseq_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (tptp.v1_finseq_1 B)) (forall ((C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k2_xcmplx_0 D tptp.np__1))) (let ((_let_2 (tptp.k1_funct_1 A _let_1))) (=> (tptp.v4_ordinal2 D) (=> (and (= (tptp.k3_finseq_1 A) _let_1) (= B (tptp.k7_relat_1 A (tptp.k2_finseq_1 D)))) (= (not (tptp.r2_hidden _let_2 C)) (= (tptp.k1_finseq_3 A C) (tptp.k7_finseq_1 (tptp.k1_finseq_3 B C) (tptp.k9_finseq_1 _let_2))))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_finseq_1 A)) (forall ((B $$unsorted) (C $$unsorted)) (=> (tptp.m2_finseq_1 A B) (tptp.m2_finseq_1 (tptp.k1_finseq_3 A C) B))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_finseq_1 A)) (forall ((B $$unsorted)) (=> (tptp.v2_funct_1 A) (tptp.v2_funct_1 (tptp.k1_finseq_3 A B)))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_finseq_1 A)) (forall ((B $$unsorted)) (=> (tptp.v2_funct_1 A) (= (tptp.k3_finseq_1 (tptp.k1_finseq_3 A B)) (tptp.k6_xcmplx_0 (tptp.k3_finseq_1 A) (tptp.k4_card_1 (tptp.k3_xboole_0 B (tptp.k2_relat_1 A))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_finseq_1 A)) (forall ((B $$unsorted)) (=> (tptp.v1_finset_1 B) (=> (and (tptp.v2_funct_1 A) (tptp.r1_tarski B (tptp.k2_relat_1 A))) (= (tptp.k3_finseq_1 (tptp.k1_finseq_3 A B)) (tptp.k6_xcmplx_0 (tptp.k3_finseq_1 A) (tptp.k4_card_1 B)))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_finseq_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v2_funct_1 A) (tptp.r2_hidden B (tptp.k2_relat_1 A))) (= (tptp.k3_finseq_1 (tptp.k1_finseq_3 A (tptp.k1_tarski B))) (tptp.k6_xcmplx_0 (tptp.k3_finseq_1 A) tptp.np__1)))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_finseq_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (tptp.v1_finseq_1 B)) (= (and (tptp.r1_xboole_0 (tptp.k2_relat_1 A) (tptp.k2_relat_1 B)) (tptp.v2_funct_1 A) (tptp.v2_funct_1 B)) (tptp.v2_funct_1 (tptp.k7_finseq_1 A B))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.v4_ordinal2 B) (=> (tptp.r1_tarski A (tptp.k2_finseq_1 B)) (tptp.v2_funct_1 (tptp.k14_finseq_1 A))))) (forall ((A $$unsorted)) (=> (tptp.v4_ordinal2 A) (tptp.v2_funct_1 (tptp.k1_finseq_2 A)))) true (forall ((A $$unsorted)) (tptp.v2_funct_1 (tptp.k9_finseq_1 A))) (forall ((A $$unsorted) (B $$unsorted)) (= (not (= A B)) (tptp.v2_funct_1 (tptp.k10_finseq_1 A B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (and (not (= A B)) (not (= B C)) (not (= C A))) (tptp.v2_funct_1 (tptp.k11_finseq_1 A B C)))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_finseq_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v2_funct_1 A) (= (tptp.k2_relat_1 A) (tptp.k1_tarski B))) (= (tptp.k3_finseq_1 A) tptp.np__1))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_finseq_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v2_funct_1 A) (= (tptp.k2_relat_1 A) (tptp.k1_tarski B))) (= A (tptp.k9_finseq_1 B)))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_finseq_1 A)) (forall ((B $$unsorted) (C $$unsorted)) (=> (and (tptp.v2_funct_1 A) (= (tptp.k2_relat_1 A) (tptp.k2_tarski B C))) (or (= B C) (= (tptp.k3_finseq_1 A) tptp.np__2)))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_finseq_1 A)) (forall ((B $$unsorted) (C $$unsorted)) (not (and (tptp.v2_funct_1 A) (= (tptp.k2_relat_1 A) (tptp.k2_tarski B C)) (not (= B C)) (not (= A (tptp.k10_finseq_1 B C))) (not (= A (tptp.k10_finseq_1 C B)))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_finseq_1 A)) (forall ((B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.v2_funct_1 A) (= (tptp.k2_relat_1 A) (tptp.k1_enumset1 B C D)) (tptp.v2_funct_1 (tptp.k11_finseq_1 B C D))) (= (tptp.k3_finseq_1 A) tptp.np__3))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_finseq_1 A)) (forall ((B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.v2_funct_1 A) (= (tptp.k2_relat_1 A) (tptp.k1_enumset1 B C D))) (or (= B C) (= C D) (= B D) (= (tptp.k3_finseq_1 A) tptp.np__3)))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (tptp.m2_finseq_1 B A) (not (and (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C A) (forall ((D $$unsorted)) (=> (tptp.m2_finseq_1 D A) (not (and (= C (tptp.k1_funct_1 B tptp.np__1)) (= B (tptp.k8_finseq_1 A (tptp.k12_finseq_1 A C) D)))))))))))))) (forall ((A $$unsorted)) (=> (tptp.v4_ordinal2 A) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (tptp.v1_finseq_1 B)) (forall ((C $$unsorted)) (=> (tptp.r2_hidden A (tptp.k4_finseq_1 B)) (= (tptp.k1_funct_1 (tptp.k7_finseq_1 (tptp.k9_finseq_1 C) B) (tptp.k2_xcmplx_0 A tptp.np__1)) (tptp.k1_funct_1 B A)))))))) (forall ((A $$unsorted)) (=> (tptp.v4_ordinal2 A) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (tptp.v1_finseq_1 B)) (= (tptp.k2_finseq_3 A B) (tptp.k5_relat_1 (tptp.k14_finseq_1 (tptp.k4_xboole_0 (tptp.k4_finseq_1 B) (tptp.k1_tarski A))) B)))))) (forall ((A $$unsorted)) (=> (tptp.v4_ordinal2 A) (forall ((B $$unsorted)) (let ((_let_1 (tptp.r2_hidden A (tptp.k4_finseq_1 B)))) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (tptp.v1_finseq_1 B)) (and (not (and _let_1 (forall ((C $$unsorted)) (=> (tptp.m2_subset_1 C tptp.k1_numbers tptp.k5_numbers) (not (and (= (tptp.k3_finseq_1 B) (tptp.k1_nat_1 C tptp.np__1)) (= (tptp.k3_finseq_1 (tptp.k2_finseq_3 A B)) C))))))) (=> (not _let_1) (= (tptp.k2_finseq_3 A B) B)))))))) (forall ((A $$unsorted)) (=> (tptp.v4_ordinal2 A) (forall ((B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (=> (tptp.m2_finseq_1 C B) (tptp.m2_finseq_1 (tptp.k2_finseq_3 A C) B))))))) (forall ((A $$unsorted)) (=> (tptp.v4_ordinal2 A) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (tptp.v1_finseq_1 B)) (tptp.r1_tarski (tptp.k2_relat_1 (tptp.k2_finseq_3 A B)) (tptp.k2_relat_1 B)))))) (forall ((A $$unsorted)) (=> (tptp.v4_ordinal2 A) (forall ((B $$unsorted)) (=> (tptp.v4_ordinal2 B) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k2_finseq_1 A))) (=> (tptp.v4_ordinal2 C) (=> (and (= A (tptp.k2_xcmplx_0 B tptp.np__1)) (tptp.r2_hidden C _let_1)) (= (tptp.k3_finseq_1 (tptp.k14_finseq_1 (tptp.k4_xboole_0 _let_1 (tptp.k1_tarski C)))) B))))))))) (forall ((A $$unsorted)) (=> (tptp.m2_subset_1 A tptp.k1_numbers tptp.k5_numbers) (forall ((B $$unsorted)) (=> (tptp.m2_subset_1 B tptp.k1_numbers tptp.k5_numbers) (forall ((C $$unsorted)) (=> (tptp.m2_subset_1 C tptp.k1_numbers tptp.k5_numbers) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k2_finseq_1 D))) (let ((_let_2 (tptp.k1_funct_1 (tptp.k14_finseq_1 (tptp.k4_xboole_0 _let_1 (tptp.k1_tarski B))) A))) (let ((_let_3 (tptp.r1_xreal_0 B A))) (=> (tptp.m2_subset_1 D tptp.k1_numbers tptp.k5_numbers) (=> (and (= D (tptp.k1_nat_1 C tptp.np__1)) (tptp.r2_hidden B _let_1) (tptp.r2_hidden A (tptp.k2_finseq_1 C))) (and (=> (tptp.r1_xreal_0 tptp.np__1 A) (or _let_3 (= _let_2 A))) (=> (and _let_3 (tptp.r1_xreal_0 A C)) (= _let_2 (tptp.k1_nat_1 A tptp.np__1)))))))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_finseq_1 A)) (forall ((B $$unsorted)) (=> (tptp.v4_ordinal2 B) (forall ((C $$unsorted)) (=> (tptp.v4_ordinal2 C) (=> (and (= (tptp.k3_finseq_1 A) (tptp.k2_xcmplx_0 C tptp.np__1)) (tptp.r2_hidden B (tptp.k4_finseq_1 A))) (= (tptp.k3_finseq_1 (tptp.k2_finseq_3 B A)) C)))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_finseq_1 A)) (forall ((B $$unsorted)) (=> (tptp.m2_subset_1 B tptp.k1_numbers tptp.k5_numbers) (forall ((C $$unsorted)) (=> (tptp.m2_subset_1 C tptp.k1_numbers tptp.k5_numbers) (forall ((D $$unsorted)) (=> (tptp.m2_subset_1 D tptp.k1_numbers tptp.k5_numbers) (=> (= (tptp.k3_finseq_1 A) (tptp.k1_nat_1 C tptp.np__1)) (or (tptp.r1_xreal_0 B D) (= (tptp.k1_funct_1 (tptp.k2_finseq_3 B A) D) (tptp.k1_funct_1 A D)))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_finseq_1 A)) (forall ((B $$unsorted)) (=> (tptp.m2_subset_1 B tptp.k1_numbers tptp.k5_numbers) (forall ((C $$unsorted)) (=> (tptp.m2_subset_1 C tptp.k1_numbers tptp.k5_numbers) (forall ((D $$unsorted)) (=> (tptp.m2_subset_1 D tptp.k1_numbers tptp.k5_numbers) (=> (and (= (tptp.k3_finseq_1 A) (tptp.k1_nat_1 C tptp.np__1)) (tptp.r2_hidden B (tptp.k4_finseq_1 A)) (tptp.r1_xreal_0 B D) (tptp.r1_xreal_0 D C)) (= (tptp.k1_funct_1 (tptp.k2_finseq_3 B A) D) (tptp.k1_funct_1 A (tptp.k1_nat_1 D tptp.np__1)))))))))))) (forall ((A $$unsorted)) (=> (tptp.v4_ordinal2 A) (forall ((B $$unsorted) (C $$unsorted)) (=> (tptp.m2_finseq_1 C B) (forall ((D $$unsorted)) (=> (tptp.m2_subset_1 D tptp.k1_numbers tptp.k5_numbers) (=> (tptp.r1_xreal_0 D A) (= (tptp.k1_funct_1 (tptp.k16_finseq_1 B C A) D) (tptp.k1_funct_1 C D))))))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k1_finseq_3 A B))) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_finseq_1 A)) (and (tptp.v1_relat_1 _let_1) (tptp.v1_funct_1 _let_1) (tptp.v1_finseq_1 _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k2_finseq_3 A B))) (=> (and (tptp.v4_ordinal2 A) (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (tptp.v1_finseq_1 B)) (and (tptp.v1_relat_1 _let_1) (tptp.v1_funct_1 _let_1) (tptp.v1_finseq_1 _let_1))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_finseq_1 A)) (forall ((B $$unsorted) (C $$unsorted)) (=> (tptp.v4_ordinal2 C) (=> (tptp.r2_hidden C (tptp.k4_finseq_1 A)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k1_funct_1 A C))) (=> (tptp.v1_finset_1 D) (not (and (= D (tptp.a_3_0_finseq_3 A B C)) (not (tptp.r2_hidden _let_1 B)) (not (= (tptp.k1_funct_1 (tptp.k1_finseq_3 A B) (tptp.k6_xcmplx_0 C (tptp.k4_card_1 D))) _let_1)))))))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (tptp.v1_finseq_1 B) (tptp.v4_ordinal2 D)) (= (tptp.r2_hidden A (tptp.a_3_0_finseq_3 B C D)) (exists ((E $$unsorted)) (and (tptp.m2_subset_1 E tptp.k1_numbers tptp.k5_numbers) (= A E) (tptp.r2_hidden E (tptp.k4_finseq_1 B)) (tptp.r1_xreal_0 E D) (tptp.r2_hidden (tptp.k1_funct_1 B E) C)))))) (forall ((A $$unsorted) (B $$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_lattices A) (tptp.v1_lattices A))) (exists ((A $$unsorted)) (and (tptp.l2_lattices A) (tptp.v2_lattices A))) (exists ((A $$unsorted)) (and (tptp.l3_lattices A) (tptp.v3_lattices A))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.g2_lattices A B))) (let ((_let_2 (tptp.k2_zfmisc_1 A A))) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_2 A) (tptp.m1_relset_1 B _let_2 A)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v2_lattices _let_1)))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.g1_lattices A B))) (let ((_let_2 (tptp.k2_zfmisc_1 A A))) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_2 A) (tptp.m1_relset_1 B _let_2 A)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v1_lattices _let_1)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.g3_lattices A B C))) (let ((_let_2 (tptp.k2_zfmisc_1 A A))) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_2 A) (tptp.m1_relset_1 B _let_2 A) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 A) (tptp.m1_relset_1 C _let_2 A)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v3_lattices _let_1)))))) (exists ((A $$unsorted)) (and (tptp.l2_lattices A) (not (tptp.v3_struct_0 A)) (tptp.v2_lattices A))) (exists ((A $$unsorted)) (and (tptp.l1_lattices A) (not (tptp.v3_struct_0 A)) (tptp.v1_lattices A))) (exists ((A $$unsorted)) (and (tptp.l3_lattices A) (not (tptp.v3_struct_0 A)) (tptp.v3_lattices A))) (forall ((A $$unsorted)) (let ((_let_1 (not (tptp.v3_struct_0 A)))) (=> (tptp.l3_lattices A) (=> (and _let_1 (tptp.v10_lattices A)) (and _let_1 (tptp.v4_lattices A) (tptp.v5_lattices A) (tptp.v6_lattices A) (tptp.v7_lattices A) (tptp.v8_lattices A) (tptp.v9_lattices A)))))) (forall ((A $$unsorted)) (let ((_let_1 (not (tptp.v3_struct_0 A)))) (=> (tptp.l3_lattices A) (=> (and _let_1 (tptp.v4_lattices A) (tptp.v5_lattices A) (tptp.v6_lattices A) (tptp.v7_lattices A) (tptp.v8_lattices A) (tptp.v9_lattices A)) (and _let_1 (tptp.v10_lattices A)))))) (exists ((A $$unsorted)) (and (tptp.l2_lattices A) (not (tptp.v3_struct_0 A)) (tptp.v2_lattices A) (tptp.v4_lattices A) (tptp.v5_lattices A))) (exists ((A $$unsorted)) (and (tptp.l1_lattices A) (not (tptp.v3_struct_0 A)) (tptp.v1_lattices A) (tptp.v6_lattices A) (tptp.v7_lattices A))) (exists ((A $$unsorted)) (and (tptp.l3_lattices A) (not (tptp.v3_struct_0 A)) (tptp.v3_lattices A) (tptp.v4_lattices A) (tptp.v5_lattices A) (tptp.v6_lattices A) (tptp.v7_lattices A) (tptp.v8_lattices A) (tptp.v9_lattices A) (tptp.v10_lattices A))) (exists ((A $$unsorted)) (and (tptp.l3_lattices A) (not (tptp.v3_struct_0 A)) (tptp.v3_lattices A) (tptp.v4_lattices A) (tptp.v5_lattices A) (tptp.v6_lattices A) (tptp.v7_lattices A) (tptp.v8_lattices A) (tptp.v9_lattices A) (tptp.v10_lattices A) (tptp.v11_lattices A) (tptp.v12_lattices A) (tptp.v13_lattices A) (tptp.v14_lattices A))) (forall ((A $$unsorted)) (let ((_let_1 (not (tptp.v3_struct_0 A)))) (=> (tptp.l3_lattices A) (=> (and _let_1 (tptp.v13_lattices A) (tptp.v14_lattices A)) (and _let_1 (tptp.v15_lattices A)))))) (forall ((A $$unsorted)) (let ((_let_1 (not (tptp.v3_struct_0 A)))) (=> (tptp.l3_lattices A) (=> (and _let_1 (tptp.v15_lattices A)) (and _let_1 (tptp.v13_lattices A) (tptp.v14_lattices A)))))) (exists ((A $$unsorted)) (and (tptp.l3_lattices A) (not (tptp.v3_struct_0 A)) (tptp.v3_lattices A) (tptp.v4_lattices A) (tptp.v5_lattices A) (tptp.v6_lattices A) (tptp.v7_lattices A) (tptp.v8_lattices A) (tptp.v9_lattices A) (tptp.v10_lattices A) (tptp.v13_lattices A) (tptp.v14_lattices A) (tptp.v15_lattices A))) (exists ((A $$unsorted)) (and (tptp.l3_lattices A) (not (tptp.v3_struct_0 A)) (tptp.v3_lattices A) (tptp.v4_lattices A) (tptp.v5_lattices A) (tptp.v6_lattices A) (tptp.v7_lattices A) (tptp.v8_lattices A) (tptp.v9_lattices A) (tptp.v10_lattices A) (tptp.v13_lattices A) (tptp.v14_lattices A) (tptp.v15_lattices A) (tptp.v16_lattices A))) (forall ((A $$unsorted)) (let ((_let_1 (not (tptp.v3_struct_0 A)))) (=> (tptp.l3_lattices A) (=> (and _let_1 (tptp.v17_lattices A)) (and _let_1 (tptp.v11_lattices A) (tptp.v13_lattices A) (tptp.v14_lattices A) (tptp.v15_lattices A) (tptp.v16_lattices A)))))) (forall ((A $$unsorted)) (let ((_let_1 (not (tptp.v3_struct_0 A)))) (=> (tptp.l3_lattices A) (=> (and _let_1 (tptp.v11_lattices A) (tptp.v15_lattices A) (tptp.v16_lattices A)) (and _let_1 (tptp.v17_lattices A)))))) (exists ((A $$unsorted)) (and (tptp.l3_lattices A) (not (tptp.v3_struct_0 A)) (tptp.v3_lattices A) (tptp.v4_lattices A) (tptp.v5_lattices A) (tptp.v6_lattices A) (tptp.v7_lattices A) (tptp.v8_lattices A) (tptp.v9_lattices A) (tptp.v10_lattices A) (tptp.v11_lattices A) (tptp.v13_lattices A) (tptp.v14_lattices A) (tptp.v15_lattices A) (tptp.v16_lattices A) (tptp.v17_lattices A))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.v10_lattices A))) (let ((_let_2 (not (tptp.v3_struct_0 A)))) (=> (tptp.l3_lattices A) (=> (and _let_2 _let_1 (tptp.v11_lattices A)) (and _let_2 (tptp.v4_lattices A) (tptp.v5_lattices A) (tptp.v6_lattices A) (tptp.v7_lattices A) (tptp.v8_lattices A) (tptp.v9_lattices A) _let_1 (tptp.v12_lattices A))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l2_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 C _let_1) (= (tptp.k1_lattices A B C) (tptp.k2_binop_1 _let_1 _let_1 _let_1 (tptp.u2_lattices A) B C))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 C _let_1) (= (tptp.k2_lattices A B C) (tptp.k2_binop_1 _let_1 _let_1 _let_1 (tptp.u1_lattices A) B C))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l2_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (tptp.r1_lattices A B C) (= (tptp.k1_lattices A B C) C)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l2_lattices A)) (= (tptp.v4_lattices A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (tptp.k1_lattices A B C) (tptp.k1_lattices A C B))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l2_lattices A)) (= (tptp.v5_lattices A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (= (tptp.k1_lattices A B (tptp.k1_lattices A C D)) (tptp.k1_lattices A (tptp.k1_lattices A B C) D))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_lattices A)) (= (tptp.v6_lattices A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (tptp.k2_lattices A B C) (tptp.k2_lattices A C B))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_lattices A)) (= (tptp.v7_lattices A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (= (tptp.k2_lattices A B (tptp.k2_lattices A C D)) (tptp.k2_lattices A (tptp.k2_lattices A B C) D))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l3_lattices A)) (= (tptp.v8_lattices A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (tptp.k1_lattices A (tptp.k2_lattices A B C) C) C)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l3_lattices A)) (= (tptp.v9_lattices A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (tptp.k2_lattices A B (tptp.k1_lattices A B C)) B)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l3_lattices A)) (= (tptp.v10_lattices A) (and (tptp.v4_lattices A) (tptp.v5_lattices A) (tptp.v8_lattices A) (tptp.v6_lattices A) (tptp.v7_lattices A) (tptp.v9_lattices A))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l3_lattices A)) (= (tptp.v11_lattices A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (= (tptp.k2_lattices A B (tptp.k1_lattices A C D)) (tptp.k1_lattices A (tptp.k2_lattices A B C) (tptp.k2_lattices A B D)))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l3_lattices A)) (= (tptp.v12_lattices A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (=> (tptp.r1_lattices A B D) (= (tptp.k1_lattices A B (tptp.k2_lattices A C D)) (tptp.k2_lattices A (tptp.k1_lattices A B C) D)))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_lattices A)) (= (tptp.v13_lattices A) (exists ((B $$unsorted)) (and (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (and (= (tptp.k2_lattices A B C) B) (= (tptp.k2_lattices A C B) B))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l2_lattices A)) (= (tptp.v14_lattices A) (exists ((B $$unsorted)) (and (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (and (= (tptp.k1_lattices A B C) B) (= (tptp.k1_lattices A C B) B))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l3_lattices A)) (= (tptp.v15_lattices A) (and (tptp.v13_lattices A) (tptp.v14_lattices A))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_lattices A)) (=> (tptp.v13_lattices A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (= (= B (tptp.k5_lattices A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (and (= (tptp.k2_lattices A B C) B) (= (tptp.k2_lattices A C B) B)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l2_lattices A)) (=> (tptp.v14_lattices A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (= (= B (tptp.k6_lattices A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (and (= (tptp.k1_lattices A B C) B) (= (tptp.k1_lattices A C B) B)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k5_lattices A))) (let ((_let_2 (tptp.k6_lattices A))) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (tptp.r2_lattices A B C) (and (= (tptp.k1_lattices A B C) _let_2) (= (tptp.k1_lattices A C B) _let_2) (= (tptp.k2_lattices A B C) _let_1) (= (tptp.k2_lattices A C B) _let_1))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l3_lattices A)) (= (tptp.v16_lattices A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (exists ((C $$unsorted)) (and (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (tptp.r2_lattices A C B)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l3_lattices A)) (= (tptp.v17_lattices A) (and (tptp.v15_lattices A) (tptp.v16_lattices A) (tptp.v11_lattices A))))) true true true true true true true true true true true true true true true true (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v6_lattices A) (tptp.v8_lattices A) (tptp.v9_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (= (tptp.k1_lattices A B B) B))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v6_lattices A) (tptp.v8_lattices A) (tptp.v9_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (= (tptp.k4_lattices A B B) B))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (= (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (= (tptp.k4_lattices A B (tptp.k3_lattices A C D)) (tptp.k3_lattices A (tptp.k4_lattices A B C) (tptp.k4_lattices A B D))))))))) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (= (tptp.k3_lattices A B (tptp.k4_lattices A C D)) (tptp.k4_lattices A (tptp.k3_lattices A B C) (tptp.k3_lattices A B D)))))))))))) true (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v8_lattices A) (tptp.v9_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (tptp.r1_lattices A B C) (= (tptp.k2_lattices A B C) B)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v5_lattices A) (tptp.v6_lattices A) (tptp.v8_lattices A) (tptp.v9_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (tptp.r1_lattices A B (tptp.k1_lattices A B C)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v6_lattices A) (tptp.v8_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (tptp.r1_lattices A (tptp.k4_lattices A B C) B))))))) true (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v5_lattices A) (tptp.l2_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (=> (and (tptp.r1_lattices A B C) (tptp.r1_lattices A C D)) (tptp.r1_lattices A B D)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_lattices A) (tptp.l2_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (=> (and (tptp.r1_lattices A B C) (tptp.r1_lattices A C B)) (= B C)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v7_lattices A) (tptp.v8_lattices A) (tptp.v9_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (=> (tptp.r1_lattices A B C) (tptp.r1_lattices A (tptp.k2_lattices A B D) (tptp.k2_lattices A C D))))))))))) true (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (=> (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (= (tptp.k3_lattices A (tptp.k3_lattices A (tptp.k4_lattices A B C) (tptp.k4_lattices A C D)) (tptp.k4_lattices A D B)) (tptp.k4_lattices A (tptp.k4_lattices A (tptp.k3_lattices A B C) (tptp.k3_lattices A C D)) (tptp.k3_lattices A D B))))))))) (tptp.v11_lattices A)))) true (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v11_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (= (tptp.k3_lattices A B (tptp.k4_lattices A C D)) (tptp.k4_lattices A (tptp.k3_lattices A B C) (tptp.k3_lattices A B D))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v11_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (=> (and (= (tptp.k4_lattices A B C) (tptp.k4_lattices A B D)) (= (tptp.k3_lattices A B C) (tptp.k3_lattices A B D))) (= C D)))))))))) true (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v11_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (= (tptp.k4_lattices A (tptp.k4_lattices A (tptp.k3_lattices A B C) (tptp.k3_lattices A C D)) (tptp.k3_lattices A D B)) (tptp.k3_lattices A (tptp.k3_lattices A (tptp.k4_lattices A B C) (tptp.k4_lattices A C D)) (tptp.k4_lattices A D B))))))))))) true true true true (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v13_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (= (tptp.k3_lattices A (tptp.k5_lattices A) B) B))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v13_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k5_lattices A))) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (= (tptp.k4_lattices A _let_1 B) _let_1)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v13_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (tptp.r3_lattices A (tptp.k5_lattices A) B))))) true (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v14_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (= (tptp.k4_lattices A (tptp.k6_lattices A) B) B))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v14_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k6_lattices A))) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (= (tptp.k3_lattices A _let_1 B) _let_1)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v14_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (tptp.r3_lattices A B (tptp.k6_lattices A)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v11_lattices A) (tptp.v16_lattices A) (tptp.l3_lattices A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (= C (tptp.k7_lattices A B)) (tptp.r2_lattices A C B))))))))) true (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v17_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (= (tptp.k4_lattices A (tptp.k7_lattices A B) B) (tptp.k5_lattices A)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v17_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (= (tptp.k3_lattices A (tptp.k7_lattices A B) B) (tptp.k6_lattices A)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v17_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (= (tptp.k7_lattices A (tptp.k7_lattices A B)) B))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v17_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (tptp.k7_lattices A (tptp.k4_lattices A B C)) (tptp.k3_lattices A (tptp.k7_lattices A B) (tptp.k7_lattices A C))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v17_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (tptp.k7_lattices A (tptp.k3_lattices A B C)) (tptp.k4_lattices A (tptp.k7_lattices A B) (tptp.k7_lattices A C))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v17_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (= (tptp.k4_lattices A B C) (tptp.k5_lattices A)) (tptp.r3_lattices A B (tptp.k7_lattices A C))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v17_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (=> (tptp.r3_lattices A B C) (tptp.r3_lattices A (tptp.k7_lattices A C) (tptp.k7_lattices A B))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_lattices A) (tptp.l1_struct_0 A))) (exists ((A $$unsorted)) (tptp.l1_lattices A)) (forall ((A $$unsorted)) (=> (tptp.l2_lattices A) (tptp.l1_struct_0 A))) (exists ((A $$unsorted)) (tptp.l2_lattices A)) (forall ((A $$unsorted)) (=> (tptp.l3_lattices A) (and (tptp.l1_lattices A) (tptp.l2_lattices A)))) (exists ((A $$unsorted)) (tptp.l3_lattices A)) (forall ((A $$unsorted)) (=> (tptp.l1_lattices A) (=> (tptp.v1_lattices A) (= A (tptp.g1_lattices (tptp.u1_struct_0 A) (tptp.u1_lattices A)))))) (forall ((A $$unsorted)) (=> (tptp.l2_lattices A) (=> (tptp.v2_lattices A) (= A (tptp.g2_lattices (tptp.u1_struct_0 A) (tptp.u2_lattices A)))))) (forall ((A $$unsorted)) (=> (tptp.l3_lattices A) (=> (tptp.v3_lattices A) (= A (tptp.g3_lattices (tptp.u1_struct_0 A) (tptp.u2_lattices A) (tptp.u1_lattices A)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v6_lattices A) (tptp.v8_lattices A) (tptp.v9_lattices A) (tptp.l3_lattices A) (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (tptp.r3_lattices A B B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v6_lattices A) (tptp.v8_lattices A) (tptp.v9_lattices A) (tptp.l3_lattices A) (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (= (tptp.r3_lattices A B C) (tptp.r1_lattices A B C))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l2_lattices A) (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (tptp.m1_subset_1 (tptp.k1_lattices A B C) _let_1)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_lattices A) (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (tptp.m1_subset_1 (tptp.k2_lattices A B C) _let_1)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_lattices A) (tptp.l2_lattices A) (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (tptp.m1_subset_1 (tptp.k3_lattices A B C) _let_1)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_lattices A) (tptp.l2_lattices A) (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (= (tptp.k3_lattices A B C) (tptp.k3_lattices A C B))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_lattices A) (tptp.l2_lattices A) (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (= (tptp.k3_lattices A B C) (tptp.k1_lattices A B C))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v6_lattices A) (tptp.l1_lattices A) (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (tptp.m1_subset_1 (tptp.k4_lattices A B C) _let_1)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v6_lattices A) (tptp.l1_lattices A) (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (= (tptp.k4_lattices A B C) (tptp.k4_lattices A C B))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v6_lattices A) (tptp.l1_lattices A) (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (= (tptp.k4_lattices A B C) (tptp.k2_lattices A B C))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_lattices A)) (tptp.m1_subset_1 (tptp.k5_lattices A) (tptp.u1_struct_0 A)))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l2_lattices A)) (tptp.m1_subset_1 (tptp.k6_lattices A) (tptp.u1_struct_0 A)))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l3_lattices A) (tptp.m1_subset_1 B _let_1)) (tptp.m1_subset_1 (tptp.k7_lattices A B) _let_1)))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.k2_zfmisc_1 _let_1 _let_1))) (let ((_let_3 (tptp.u1_lattices A))) (=> (tptp.l1_lattices A) (and (tptp.v1_funct_1 _let_3) (tptp.v1_funct_2 _let_3 _let_2 _let_1) (tptp.m2_relset_1 _let_3 _let_2 _let_1))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.k2_zfmisc_1 _let_1 _let_1))) (let ((_let_3 (tptp.u2_lattices A))) (=> (tptp.l2_lattices A) (and (tptp.v1_funct_1 _let_3) (tptp.v1_funct_2 _let_3 _let_2 _let_1) (tptp.m2_relset_1 _let_3 _let_2 _let_1))))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.g1_lattices A B))) (let ((_let_2 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_2 A) (tptp.m1_relset_1 B _let_2 A)) (and (tptp.v1_lattices _let_1) (tptp.l1_lattices _let_1)))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_1 A) (tptp.m1_relset_1 B _let_1 A)) (forall ((C $$unsorted) (D $$unsorted)) (=> (= (tptp.g1_lattices A B) (tptp.g1_lattices C D)) (and (= A C) (= B D))))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.g2_lattices A B))) (let ((_let_2 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_2 A) (tptp.m1_relset_1 B _let_2 A)) (and (tptp.v2_lattices _let_1) (tptp.l2_lattices _let_1)))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_1 A) (tptp.m1_relset_1 B _let_1 A)) (forall ((C $$unsorted) (D $$unsorted)) (=> (= (tptp.g2_lattices A B) (tptp.g2_lattices C D)) (and (= A C) (= B D))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.g3_lattices A B C))) (let ((_let_2 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_2 A) (tptp.m1_relset_1 B _let_2 A) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 A) (tptp.m1_relset_1 C _let_2 A)) (and (tptp.v3_lattices _let_1) (tptp.l3_lattices _let_1)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_1 A) (tptp.m1_relset_1 B _let_1 A) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_1 A) (tptp.m1_relset_1 C _let_1 A)) (forall ((D $$unsorted) (E $$unsorted) (F $$unsorted)) (=> (= (tptp.g3_lattices A B C) (tptp.g3_lattices D E F)) (and (= A D) (= B E) (= C F))))))) (exists ((A $$unsorted)) (and (tptp.l1_rlvect_1 A) (tptp.v1_rlvect_1 A))) (exists ((A $$unsorted)) (and (tptp.l2_rlvect_1 A) (tptp.v2_rlvect_1 A))) (exists ((A $$unsorted)) (and (tptp.l2_rlvect_1 A) (not (tptp.v3_struct_0 A)))) (exists ((A $$unsorted)) (and (tptp.l1_rlvect_1 A) (not (tptp.v3_struct_0 A)) (tptp.v1_rlvect_1 A))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.g2_rlvect_1 A B C D))) (let ((_let_2 (tptp.k2_zfmisc_1 tptp.k1_numbers A))) (let ((_let_3 (tptp.k2_zfmisc_1 A A))) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.m1_subset_1 B A) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_3 A) (tptp.m1_relset_1 C _let_3 A) (tptp.v1_funct_1 D) (tptp.v1_funct_2 D _let_2 A) (tptp.m1_relset_1 D _let_2 A)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v2_rlvect_1 _let_1))))))) (exists ((A $$unsorted)) (and (tptp.l1_rlvect_1 A) (not (tptp.v3_struct_0 A)) (tptp.v1_rlvect_1 A) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A))) (exists ((A $$unsorted)) (and (tptp.l2_rlvect_1 A) (not (tptp.v3_struct_0 A)) (tptp.v2_rlvect_1 A) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v7_rlvect_1 A))) (forall ((A $$unsorted)) (=> (tptp.l1_struct_0 A) (forall ((B $$unsorted)) (= (tptp.r1_rlvect_1 A B) (tptp.r2_hidden B (tptp.u1_struct_0 A)))))) true true (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_struct_0 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (tptp.r1_rlvect_1 A B))))) (forall ((A $$unsorted)) (=> (tptp.l2_struct_0 A) (= (tptp.k1_rlvect_1 A) (tptp.u2_struct_0 A)))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_rlvect_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 C _let_1) (= (tptp.k2_rlvect_1 A B C) (tptp.k8_funct_2 (tptp.k2_zfmisc_1 _let_1 _let_1) _let_1 (tptp.u1_rlvect_1 A) (tptp.k1_domain_1 _let_1 _let_1 B C)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l2_rlvect_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 C tptp.k1_numbers) (= (tptp.k3_rlvect_1 A B C) (tptp.k8_funct_2 (tptp.k2_zfmisc_1 tptp.k1_numbers _let_1) _let_1 (tptp.u2_rlvect_1 A) (tptp.k1_domain_1 tptp.k1_numbers _let_1 C B)))))))))) true (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_rlvect_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 C _let_1) (= (tptp.k2_rlvect_1 A B C) (tptp.k2_binop_1 _let_1 _let_1 _let_1 (tptp.u1_rlvect_1 A) B C))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_rlvect_1 A)) (= (tptp.v3_rlvect_1 A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (tptp.k2_rlvect_1 A B C) (tptp.k2_rlvect_1 A C B))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_rlvect_1 A)) (= (tptp.v4_rlvect_1 A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (= (tptp.k2_rlvect_1 A (tptp.k2_rlvect_1 A B C) D) (tptp.k2_rlvect_1 A B (tptp.k2_rlvect_1 A C D)))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_rlvect_1 A)) (= (tptp.v5_rlvect_1 A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (= (tptp.k2_rlvect_1 A B (tptp.k1_rlvect_1 A)) B)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_rlvect_1 A)) (= (tptp.v6_rlvect_1 A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (exists ((C $$unsorted)) (and (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (tptp.k2_rlvect_1 A B C) (tptp.k1_rlvect_1 A))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l2_rlvect_1 A)) (= (tptp.v7_rlvect_1 A) (and (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.k1_numbers) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (= (tptp.k3_rlvect_1 A (tptp.k2_rlvect_1 A C D) B) (tptp.k2_rlvect_1 A (tptp.k3_rlvect_1 A C B) (tptp.k3_rlvect_1 A D B))))))))) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.k1_numbers) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C tptp.k1_numbers) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (= (tptp.k3_rlvect_1 A D (tptp.k3_real_1 B C)) (tptp.k2_rlvect_1 A (tptp.k3_rlvect_1 A D B) (tptp.k3_rlvect_1 A D C))))))))) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.k1_numbers) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C tptp.k1_numbers) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (= (tptp.k3_rlvect_1 A D (tptp.k4_real_1 B C)) (tptp.k3_rlvect_1 A (tptp.k3_rlvect_1 A D C) B)))))))) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (= (tptp.k3_rlvect_1 A B tptp.np__1) B))))))) true (forall ((A $$unsorted)) (let ((_let_1 (tptp.l2_rlvect_1 A))) (let ((_let_2 (not (tptp.v3_struct_0 A)))) (=> (and _let_2 _let_1) (=> (and (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (tptp.k2_rlvect_1 A B C) (tptp.k2_rlvect_1 A C B)))))) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (= (tptp.k2_rlvect_1 A (tptp.k2_rlvect_1 A B C) D) (tptp.k2_rlvect_1 A B (tptp.k2_rlvect_1 A C D))))))))) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (= (tptp.k2_rlvect_1 A B (tptp.k1_rlvect_1 A)) B))) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (exists ((C $$unsorted)) (and (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (tptp.k2_rlvect_1 A B C) (tptp.k1_rlvect_1 A)))))) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.k1_numbers) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (= (tptp.k3_rlvect_1 A (tptp.k2_rlvect_1 A C D) B) (tptp.k2_rlvect_1 A (tptp.k3_rlvect_1 A C B) (tptp.k3_rlvect_1 A D B))))))))) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.k1_numbers) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C tptp.k1_numbers) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (= (tptp.k3_rlvect_1 A D (tptp.k3_real_1 B C)) (tptp.k2_rlvect_1 A (tptp.k3_rlvect_1 A D B) (tptp.k3_rlvect_1 A D C))))))))) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.k1_numbers) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C tptp.k1_numbers) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (= (tptp.k3_rlvect_1 A D (tptp.k4_real_1 B C)) (tptp.k3_rlvect_1 A (tptp.k3_rlvect_1 A D C) B)))))))) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (= (tptp.k3_rlvect_1 A B tptp.np__1) B)))) (and _let_2 (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v7_rlvect_1 A) _let_1)))))) true true (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.l1_rlvect_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k1_rlvect_1 A))) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (and (= (tptp.k2_rlvect_1 A B _let_1) B) (= (tptp.k2_rlvect_1 A _let_1 B) B))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_rlvect_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (=> (and (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (= C (tptp.k5_rlvect_1 A B)) (= (tptp.k2_rlvect_1 A B C) (tptp.k1_rlvect_1 A)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_rlvect_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (tptp.k6_rlvect_1 A B C) (tptp.k2_rlvect_1 A B (tptp.k5_rlvect_1 A C))))))))) true true true true true (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.l1_rlvect_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k1_rlvect_1 A))) (let ((_let_2 (tptp.k5_rlvect_1 A B))) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (and (= (tptp.k2_rlvect_1 A B _let_2) _let_1) (= (tptp.k2_rlvect_1 A _let_2 B) _let_1)))))))) true true (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.l1_rlvect_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (=> (= (tptp.k2_rlvect_1 A B C) (tptp.k1_rlvect_1 A)) (= B (tptp.k5_rlvect_1 A C))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.l1_rlvect_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (exists ((D $$unsorted)) (and (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (= (tptp.k2_rlvect_1 A B D) C))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.l1_rlvect_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.u1_struct_0 A)) (=> (or (= (tptp.k2_rlvect_1 A B D) (tptp.k2_rlvect_1 A B E)) (= (tptp.k2_rlvect_1 A D B) (tptp.k2_rlvect_1 A E B))) (= D E)))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.l1_rlvect_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (=> (or (= (tptp.k2_rlvect_1 A B C) B) (= (tptp.k2_rlvect_1 A C B) B)) (= C (tptp.k1_rlvect_1 A))))))))) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.k1_numbers) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v7_rlvect_1 B) (tptp.l2_rlvect_1 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k1_rlvect_1 B))) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 B)) (=> (or (= A tptp.np__0) (= C _let_1)) (= (tptp.k3_rlvect_1 B C A) _let_1))))))))) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.k1_numbers) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v7_rlvect_1 B) (tptp.l2_rlvect_1 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k1_rlvect_1 B))) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 B)) (not (and (= (tptp.k3_rlvect_1 B C A) _let_1) (not (= A tptp.np__0)) (not (= C _let_1))))))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k1_rlvect_1 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.l1_rlvect_1 A)) (= (tptp.k5_rlvect_1 A _let_1) _let_1)))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.l1_rlvect_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (= (tptp.k6_rlvect_1 A B (tptp.k1_rlvect_1 A)) B))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.l1_rlvect_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (= (tptp.k6_rlvect_1 A (tptp.k1_rlvect_1 A) B) (tptp.k5_rlvect_1 A B)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.l1_rlvect_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (= (tptp.k6_rlvect_1 A B B) (tptp.k1_rlvect_1 A)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v7_rlvect_1 A) (tptp.l2_rlvect_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (= (tptp.k5_rlvect_1 A B) (tptp.k3_rlvect_1 A B (tptp.k1_real_1 tptp.np__1))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.l1_rlvect_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (= (tptp.k5_rlvect_1 A (tptp.k5_rlvect_1 A B)) B))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.l1_rlvect_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (=> (= (tptp.k5_rlvect_1 A B) (tptp.k5_rlvect_1 A C)) (= B C)))))))) true (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v7_rlvect_1 A) (tptp.l2_rlvect_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (=> (= B (tptp.k5_rlvect_1 A B)) (= B (tptp.k1_rlvect_1 A))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v7_rlvect_1 A) (tptp.l2_rlvect_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k1_rlvect_1 A))) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (=> (= (tptp.k4_rlvect_1 A B B) _let_1) (= B _let_1))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.l1_rlvect_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (=> (= (tptp.k6_rlvect_1 A B C) (tptp.k1_rlvect_1 A)) (= B C)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.l1_rlvect_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (exists ((D $$unsorted)) (and (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (= (tptp.k6_rlvect_1 A C D) B))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.l1_rlvect_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (=> (= (tptp.k6_rlvect_1 A B C) (tptp.k6_rlvect_1 A B D)) (= C D)))))))))) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.k1_numbers) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v7_rlvect_1 B) (tptp.l2_rlvect_1 B)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 B)) (= (tptp.k3_rlvect_1 B (tptp.k5_rlvect_1 B C) A) (tptp.k3_rlvect_1 B C (tptp.k1_real_1 A))))))))) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.k1_numbers) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v7_rlvect_1 B) (tptp.l2_rlvect_1 B)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 B)) (= (tptp.k3_rlvect_1 B (tptp.k5_rlvect_1 B C) A) (tptp.k5_rlvect_1 B (tptp.k3_rlvect_1 B C A))))))))) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.k1_numbers) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v7_rlvect_1 B) (tptp.l2_rlvect_1 B)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 B)) (= (tptp.k3_rlvect_1 B (tptp.k5_rlvect_1 B C) (tptp.k1_real_1 A)) (tptp.k3_rlvect_1 B C A)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.l1_rlvect_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (= (tptp.k6_rlvect_1 A B (tptp.k2_rlvect_1 A C D)) (tptp.k6_rlvect_1 A (tptp.k6_rlvect_1 A B D) C)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_rlvect_1 A) (tptp.l1_rlvect_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (= (tptp.k6_rlvect_1 A (tptp.k2_rlvect_1 A B C) D) (tptp.k2_rlvect_1 A B (tptp.k6_rlvect_1 A C D))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.l1_rlvect_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (= (tptp.k6_rlvect_1 A B (tptp.k6_rlvect_1 A C D)) (tptp.k4_rlvect_1 A (tptp.k6_rlvect_1 A B C) D)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.l1_rlvect_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (tptp.k5_rlvect_1 A (tptp.k2_rlvect_1 A B C)) (tptp.k6_rlvect_1 A (tptp.k5_rlvect_1 A C) B)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.l1_rlvect_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (tptp.k5_rlvect_1 A (tptp.k2_rlvect_1 A B C)) (tptp.k2_rlvect_1 A (tptp.k5_rlvect_1 A C) (tptp.k5_rlvect_1 A B))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.l1_rlvect_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (tptp.k6_rlvect_1 A (tptp.k5_rlvect_1 A B) C) (tptp.k6_rlvect_1 A (tptp.k5_rlvect_1 A C) B)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.l1_rlvect_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (tptp.k5_rlvect_1 A (tptp.k6_rlvect_1 A B C)) (tptp.k2_rlvect_1 A C (tptp.k5_rlvect_1 A B))))))))) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.k1_numbers) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v7_rlvect_1 B) (tptp.l2_rlvect_1 B)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 B)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 B)) (= (tptp.k3_rlvect_1 B (tptp.k6_rlvect_1 B C D) A) (tptp.k6_rlvect_1 B (tptp.k3_rlvect_1 B C A) (tptp.k3_rlvect_1 B D A))))))))))) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.k1_numbers) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.k1_numbers) (forall ((C $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.v3_rlvect_1 C) (tptp.v4_rlvect_1 C) (tptp.v5_rlvect_1 C) (tptp.v6_rlvect_1 C) (tptp.v7_rlvect_1 C) (tptp.l2_rlvect_1 C)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 C)) (= (tptp.k3_rlvect_1 C D (tptp.k5_real_1 A B)) (tptp.k6_rlvect_1 C (tptp.k3_rlvect_1 C D A) (tptp.k3_rlvect_1 C D B))))))))))) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.k1_numbers) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v7_rlvect_1 B) (tptp.l2_rlvect_1 B)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 B)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 B)) (=> (= (tptp.k3_rlvect_1 B C A) (tptp.k3_rlvect_1 B D A)) (or (= A tptp.np__0) (= C D))))))))))) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.k1_numbers) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.k1_numbers) (forall ((C $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.v3_rlvect_1 C) (tptp.v4_rlvect_1 C) (tptp.v5_rlvect_1 C) (tptp.v6_rlvect_1 C) (tptp.v7_rlvect_1 C) (tptp.l2_rlvect_1 C)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 C)) (=> (= (tptp.k3_rlvect_1 C D A) (tptp.k3_rlvect_1 C D B)) (or (= D (tptp.k1_rlvect_1 C)) (= A B))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_rlvect_1 A)) (forall ((B $$unsorted)) (=> (tptp.m2_finseq_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (= C (tptp.k9_rlvect_1 A B)) (exists ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D tptp.k5_numbers _let_1) (tptp.m2_relset_1 D tptp.k5_numbers _let_1) (= C (tptp.k8_funct_2 tptp.k5_numbers _let_1 D (tptp.k3_finseq_1 B))) (= (tptp.k8_funct_2 tptp.k5_numbers _let_1 D tptp.np__0) (tptp.k1_rlvect_1 A)) (forall ((E $$unsorted)) (=> (tptp.m2_subset_1 E tptp.k1_numbers tptp.k5_numbers) (forall ((F $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.k1_nat_1 E tptp.np__1))) (=> (tptp.m1_subset_1 F _let_1) (=> (= F (tptp.k1_funct_1 B _let_2)) (or (tptp.r1_xreal_0 (tptp.k3_finseq_1 B) E) (= (tptp.k8_funct_2 tptp.k5_numbers _let_1 D _let_2) (tptp.k2_rlvect_1 A (tptp.k8_funct_2 tptp.k5_numbers _let_1 D E) F)))))))))))))))))))) true true (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_rlvect_1 A)) (forall ((B $$unsorted)) (=> (tptp.m2_finseq_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m2_subset_1 C tptp.k1_numbers tptp.k5_numbers) (forall ((D $$unsorted)) (=> (tptp.m2_subset_1 D tptp.k1_numbers tptp.k5_numbers) (=> (and (tptp.r2_hidden C (tptp.k2_finseq_1 D)) (= (tptp.k3_finseq_1 B) D)) (tptp.m1_subset_1 (tptp.k1_funct_1 B C) (tptp.u1_struct_0 A))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_rlvect_1 A)) (forall ((B $$unsorted)) (=> (tptp.m2_finseq_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m2_finseq_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k3_finseq_1 B))) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (=> (and (= _let_1 (tptp.k1_nat_1 (tptp.k3_finseq_1 C) tptp.np__1)) (= C (tptp.k7_relat_1 B (tptp.k4_finseq_1 C))) (= D (tptp.k1_funct_1 B _let_1))) (= (tptp.k9_rlvect_1 A B) (tptp.k2_rlvect_1 A (tptp.k9_rlvect_1 A C) D)))))))))))) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.k1_numbers) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v7_rlvect_1 B) (tptp.l2_rlvect_1 B)) (forall ((C $$unsorted)) (=> (tptp.m2_finseq_1 C (tptp.u1_struct_0 B)) (forall ((D $$unsorted)) (=> (tptp.m2_finseq_1 D (tptp.u1_struct_0 B)) (=> (and (= (tptp.k3_finseq_1 C) (tptp.k3_finseq_1 D)) (forall ((E $$unsorted)) (=> (tptp.m2_subset_1 E tptp.k1_numbers tptp.k5_numbers) (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F (tptp.u1_struct_0 B)) (=> (and (tptp.r2_hidden E (tptp.k4_finseq_1 C)) (= F (tptp.k1_funct_1 D E))) (= (tptp.k1_funct_1 C E) (tptp.k3_rlvect_1 B F A)))))))) (= (tptp.k9_rlvect_1 B C) (tptp.k3_rlvect_1 B (tptp.k9_rlvect_1 B D) A))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.l1_rlvect_1 A)) (forall ((B $$unsorted)) (=> (tptp.m2_finseq_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m2_finseq_1 C (tptp.u1_struct_0 A)) (=> (and (= (tptp.k3_finseq_1 B) (tptp.k3_finseq_1 C)) (forall ((D $$unsorted)) (=> (tptp.m2_subset_1 D tptp.k1_numbers tptp.k5_numbers) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.u1_struct_0 A)) (=> (and (tptp.r2_hidden D (tptp.k4_finseq_1 B)) (= E (tptp.k1_funct_1 C D))) (= (tptp.k1_funct_1 B D) (tptp.k5_rlvect_1 A E)))))))) (= (tptp.k9_rlvect_1 A B) (tptp.k5_rlvect_1 A (tptp.k9_rlvect_1 A C)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.l1_rlvect_1 A)) (forall ((B $$unsorted)) (=> (tptp.m2_finseq_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m2_finseq_1 C _let_1) (= (tptp.k9_rlvect_1 A (tptp.k8_finseq_1 _let_1 B C)) (tptp.k2_rlvect_1 A (tptp.k9_rlvect_1 A B) (tptp.k9_rlvect_1 A C)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.l1_rlvect_1 A)) (forall ((B $$unsorted)) (=> (tptp.m2_finseq_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m2_finseq_1 C (tptp.u1_struct_0 A)) (=> (and (= (tptp.k2_relat_1 B) (tptp.k2_relat_1 C)) (tptp.v2_funct_1 B) (tptp.v2_funct_1 C)) (= (tptp.k9_rlvect_1 A B) (tptp.k9_rlvect_1 A C))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_rlvect_1 A)) (= (tptp.k9_rlvect_1 A (tptp.k6_finseq_1 (tptp.u1_struct_0 A))) (tptp.k1_rlvect_1 A)))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.l1_rlvect_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 B _let_1) (= (tptp.k9_rlvect_1 A (tptp.k12_finseq_1 _let_1 B)) B)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.l1_rlvect_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (tptp.k9_rlvect_1 A (tptp.k7_rlvect_1 A B C)) (tptp.k2_rlvect_1 A B C)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.l1_rlvect_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (= (tptp.k9_rlvect_1 A (tptp.k8_rlvect_1 A B C D)) (tptp.k2_rlvect_1 A (tptp.k2_rlvect_1 A B C) D)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v7_rlvect_1 A) (tptp.l2_rlvect_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.k1_numbers) (= (tptp.k3_rlvect_1 A (tptp.k9_rlvect_1 A (tptp.k6_finseq_1 (tptp.u1_struct_0 A))) B) (tptp.k1_rlvect_1 A)))))) true (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v7_rlvect_1 A) (tptp.l2_rlvect_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.k1_numbers) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (= (tptp.k3_rlvect_1 A (tptp.k9_rlvect_1 A (tptp.k7_rlvect_1 A C D)) B) (tptp.k4_rlvect_1 A (tptp.k3_rlvect_1 A C B) (tptp.k3_rlvect_1 A D B))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v7_rlvect_1 A) (tptp.l2_rlvect_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.k1_numbers) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.u1_struct_0 A)) (= (tptp.k3_rlvect_1 A (tptp.k9_rlvect_1 A (tptp.k8_rlvect_1 A C D E)) B) (tptp.k4_rlvect_1 A (tptp.k4_rlvect_1 A (tptp.k3_rlvect_1 A C B) (tptp.k3_rlvect_1 A D B)) (tptp.k3_rlvect_1 A E B))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.l1_rlvect_1 A)) (= (tptp.k5_rlvect_1 A (tptp.k9_rlvect_1 A (tptp.k6_finseq_1 (tptp.u1_struct_0 A)))) (tptp.k1_rlvect_1 A)))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.l1_rlvect_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 B _let_1) (= (tptp.k5_rlvect_1 A (tptp.k9_rlvect_1 A (tptp.k12_finseq_1 _let_1 B))) (tptp.k5_rlvect_1 A B))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.l1_rlvect_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (tptp.k5_rlvect_1 A (tptp.k9_rlvect_1 A (tptp.k7_rlvect_1 A B C))) (tptp.k6_rlvect_1 A (tptp.k5_rlvect_1 A B) C)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.l1_rlvect_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (= (tptp.k5_rlvect_1 A (tptp.k9_rlvect_1 A (tptp.k8_rlvect_1 A B C D))) (tptp.k6_rlvect_1 A (tptp.k6_rlvect_1 A (tptp.k5_rlvect_1 A B) C) D)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.l1_rlvect_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (tptp.k9_rlvect_1 A (tptp.k7_rlvect_1 A B C)) (tptp.k9_rlvect_1 A (tptp.k7_rlvect_1 A C B))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.l1_rlvect_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 C _let_1) (= (tptp.k9_rlvect_1 A (tptp.k7_rlvect_1 A B C)) (tptp.k2_rlvect_1 A (tptp.k9_rlvect_1 A (tptp.k12_finseq_1 _let_1 B)) (tptp.k9_rlvect_1 A (tptp.k12_finseq_1 _let_1 C))))))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k1_rlvect_1 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.l1_rlvect_1 A)) (= (tptp.k9_rlvect_1 A (tptp.k7_rlvect_1 A _let_1 _let_1)) _let_1)))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.l1_rlvect_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k1_rlvect_1 A))) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (and (= (tptp.k9_rlvect_1 A (tptp.k7_rlvect_1 A _let_1 B)) B) (= (tptp.k9_rlvect_1 A (tptp.k7_rlvect_1 A B _let_1)) B))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.l1_rlvect_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k1_rlvect_1 A))) (let ((_let_2 (tptp.k5_rlvect_1 A B))) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (and (= (tptp.k9_rlvect_1 A (tptp.k7_rlvect_1 A B _let_2)) _let_1) (= (tptp.k9_rlvect_1 A (tptp.k7_rlvect_1 A _let_2 B)) _let_1)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.l1_rlvect_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (tptp.k9_rlvect_1 A (tptp.k7_rlvect_1 A B (tptp.k5_rlvect_1 A C))) (tptp.k6_rlvect_1 A B C)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.l1_rlvect_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (tptp.k9_rlvect_1 A (tptp.k7_rlvect_1 A (tptp.k5_rlvect_1 A B) (tptp.k5_rlvect_1 A C))) (tptp.k5_rlvect_1 A (tptp.k2_rlvect_1 A C B))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v7_rlvect_1 A) (tptp.l2_rlvect_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (= (tptp.k9_rlvect_1 A (tptp.k7_rlvect_1 A B B)) (tptp.k3_rlvect_1 A B tptp.np__2)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v7_rlvect_1 A) (tptp.l2_rlvect_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k5_rlvect_1 A B))) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (= (tptp.k9_rlvect_1 A (tptp.k7_rlvect_1 A _let_1 _let_1)) (tptp.k3_rlvect_1 A B (tptp.k1_real_1 tptp.np__2)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.l1_rlvect_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 D _let_1) (= (tptp.k9_rlvect_1 A (tptp.k8_rlvect_1 A B C D)) (tptp.k2_rlvect_1 A (tptp.k2_rlvect_1 A (tptp.k9_rlvect_1 A (tptp.k12_finseq_1 _let_1 B)) (tptp.k9_rlvect_1 A (tptp.k12_finseq_1 _let_1 C))) (tptp.k9_rlvect_1 A (tptp.k12_finseq_1 _let_1 D))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.l1_rlvect_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (= (tptp.k9_rlvect_1 A (tptp.k8_rlvect_1 A B C D)) (tptp.k2_rlvect_1 A (tptp.k9_rlvect_1 A (tptp.k7_rlvect_1 A B C)) D)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.l1_rlvect_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (= (tptp.k9_rlvect_1 A (tptp.k8_rlvect_1 A C B D)) (tptp.k4_rlvect_1 A (tptp.k9_rlvect_1 A (tptp.k7_rlvect_1 A B D)) C)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.l1_rlvect_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (= (tptp.k9_rlvect_1 A (tptp.k8_rlvect_1 A C B D)) (tptp.k4_rlvect_1 A (tptp.k9_rlvect_1 A (tptp.k7_rlvect_1 A C D)) B)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.l1_rlvect_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (= (tptp.k9_rlvect_1 A (tptp.k8_rlvect_1 A C B D)) (tptp.k9_rlvect_1 A (tptp.k8_rlvect_1 A C D B))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.l1_rlvect_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (= (tptp.k9_rlvect_1 A (tptp.k8_rlvect_1 A C B D)) (tptp.k9_rlvect_1 A (tptp.k8_rlvect_1 A B C D))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.l1_rlvect_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (= (tptp.k9_rlvect_1 A (tptp.k8_rlvect_1 A C B D)) (tptp.k9_rlvect_1 A (tptp.k8_rlvect_1 A B D C))))))))))) true (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.l1_rlvect_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (= (tptp.k9_rlvect_1 A (tptp.k8_rlvect_1 A C B D)) (tptp.k9_rlvect_1 A (tptp.k8_rlvect_1 A D B C))))))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k1_rlvect_1 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.l1_rlvect_1 A)) (= (tptp.k9_rlvect_1 A (tptp.k8_rlvect_1 A _let_1 _let_1 _let_1)) _let_1)))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.l1_rlvect_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k1_rlvect_1 A))) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (and (= (tptp.k9_rlvect_1 A (tptp.k8_rlvect_1 A _let_1 _let_1 B)) B) (= (tptp.k9_rlvect_1 A (tptp.k8_rlvect_1 A _let_1 B _let_1)) B) (= (tptp.k9_rlvect_1 A (tptp.k8_rlvect_1 A B _let_1 _let_1)) B))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.l1_rlvect_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k2_rlvect_1 A B C))) (let ((_let_2 (tptp.k1_rlvect_1 A))) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (and (= (tptp.k9_rlvect_1 A (tptp.k8_rlvect_1 A _let_2 B C)) _let_1) (= (tptp.k9_rlvect_1 A (tptp.k8_rlvect_1 A B C _let_2)) _let_1) (= (tptp.k9_rlvect_1 A (tptp.k8_rlvect_1 A B _let_2 C)) _let_1)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v7_rlvect_1 A) (tptp.l2_rlvect_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (= (tptp.k9_rlvect_1 A (tptp.k8_rlvect_1 A B B B)) (tptp.k3_rlvect_1 A B tptp.np__3)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.l1_rlvect_1 A)) (forall ((B $$unsorted)) (=> (tptp.m2_finseq_1 B (tptp.u1_struct_0 A)) (=> (= (tptp.k3_finseq_1 B) tptp.np__0) (= (tptp.k9_rlvect_1 A B) (tptp.k1_rlvect_1 A))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.l1_rlvect_1 A)) (forall ((B $$unsorted)) (=> (tptp.m2_finseq_1 B (tptp.u1_struct_0 A)) (=> (= (tptp.k3_finseq_1 B) tptp.np__1) (= (tptp.k9_rlvect_1 A B) (tptp.k1_funct_1 B tptp.np__1))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.l1_rlvect_1 A)) (forall ((B $$unsorted)) (=> (tptp.m2_finseq_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (=> (and (= (tptp.k3_finseq_1 B) tptp.np__2) (= C (tptp.k1_funct_1 B tptp.np__1)) (= D (tptp.k1_funct_1 B tptp.np__2))) (= (tptp.k9_rlvect_1 A B) (tptp.k2_rlvect_1 A C D))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.l1_rlvect_1 A)) (forall ((B $$unsorted)) (=> (tptp.m2_finseq_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.u1_struct_0 A)) (=> (and (= (tptp.k3_finseq_1 B) tptp.np__3) (= C (tptp.k1_funct_1 B tptp.np__1)) (= D (tptp.k1_funct_1 B tptp.np__2)) (= E (tptp.k1_funct_1 B tptp.np__3))) (= (tptp.k9_rlvect_1 A B) (tptp.k2_rlvect_1 A (tptp.k2_rlvect_1 A C D) E))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l2_struct_0 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (= (tptp.v8_rlvect_1 B A) (not (= B (tptp.k1_rlvect_1 A)))))))) (forall ((A $$unsorted)) (=> (tptp.l1_rlvect_1 A) (tptp.l2_struct_0 A))) (exists ((A $$unsorted)) (tptp.l1_rlvect_1 A)) (forall ((A $$unsorted)) (=> (tptp.l2_rlvect_1 A) (tptp.l1_rlvect_1 A))) (exists ((A $$unsorted)) (tptp.l2_rlvect_1 A)) (forall ((A $$unsorted)) (=> (tptp.l1_rlvect_1 A) (=> (tptp.v1_rlvect_1 A) (= A (tptp.g1_rlvect_1 (tptp.u1_struct_0 A) (tptp.u1_rlvect_1 A) (tptp.u2_struct_0 A)))))) (forall ((A $$unsorted)) (=> (tptp.l2_rlvect_1 A) (=> (tptp.v2_rlvect_1 A) (= A (tptp.g2_rlvect_1 (tptp.u1_struct_0 A) (tptp.u2_struct_0 A) (tptp.u1_rlvect_1 A) (tptp.u2_rlvect_1 A)))))) (forall ((A $$unsorted)) (=> (tptp.l2_struct_0 A) (tptp.m1_subset_1 (tptp.k1_rlvect_1 A) (tptp.u1_struct_0 A)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_rlvect_1 A) (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (tptp.m1_subset_1 (tptp.k2_rlvect_1 A B C) _let_1)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l2_rlvect_1 A) (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C tptp.k1_numbers)) (tptp.m1_subset_1 (tptp.k3_rlvect_1 A B C) _let_1)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.l1_rlvect_1 A) (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (tptp.m1_subset_1 (tptp.k4_rlvect_1 A B C) _let_1)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.l1_rlvect_1 A) (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (= (tptp.k4_rlvect_1 A B C) (tptp.k4_rlvect_1 A C B))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.l1_rlvect_1 A) (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (= (tptp.k4_rlvect_1 A B C) (tptp.k2_rlvect_1 A B C))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_rlvect_1 A) (tptp.m1_subset_1 B _let_1)) (tptp.m1_subset_1 (tptp.k5_rlvect_1 A B) _let_1)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_rlvect_1 A) (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (tptp.m1_subset_1 (tptp.k6_rlvect_1 A B C) _let_1)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_struct_0 A) (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (tptp.m2_finseq_1 (tptp.k7_rlvect_1 A B C) _let_1)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_struct_0 A) (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (= (tptp.k7_rlvect_1 A B C) (tptp.k10_finseq_1 B C))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_struct_0 A) (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1) (tptp.m1_subset_1 D _let_1)) (tptp.m2_finseq_1 (tptp.k8_rlvect_1 A B C D) _let_1)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_struct_0 A) (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1) (tptp.m1_subset_1 D _let_1)) (= (tptp.k8_rlvect_1 A B C D) (tptp.k11_finseq_1 B C D))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_rlvect_1 A) (tptp.m1_finseq_1 B _let_1)) (tptp.m1_subset_1 (tptp.k9_rlvect_1 A B) _let_1)))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.k2_zfmisc_1 _let_1 _let_1))) (let ((_let_3 (tptp.u1_rlvect_1 A))) (=> (tptp.l1_rlvect_1 A) (and (tptp.v1_funct_1 _let_3) (tptp.v1_funct_2 _let_3 _let_2 _let_1) (tptp.m2_relset_1 _let_3 _let_2 _let_1))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.k2_zfmisc_1 tptp.k1_numbers _let_1))) (let ((_let_3 (tptp.u2_rlvect_1 A))) (=> (tptp.l2_rlvect_1 A) (and (tptp.v1_funct_1 _let_3) (tptp.v1_funct_2 _let_3 _let_2 _let_1) (tptp.m2_relset_1 _let_3 _let_2 _let_1))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.g1_rlvect_1 A B C))) (let ((_let_2 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_2 A) (tptp.m1_relset_1 B _let_2 A) (tptp.m1_subset_1 C A)) (and (tptp.v1_rlvect_1 _let_1) (tptp.l1_rlvect_1 _let_1)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_1 A) (tptp.m1_relset_1 B _let_1 A) (tptp.m1_subset_1 C A)) (forall ((D $$unsorted) (E $$unsorted) (F $$unsorted)) (=> (= (tptp.g1_rlvect_1 A B C) (tptp.g1_rlvect_1 D E F)) (and (= A D) (= B E) (= C F))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.g2_rlvect_1 A B C D))) (let ((_let_2 (tptp.k2_zfmisc_1 tptp.k1_numbers A))) (let ((_let_3 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.m1_subset_1 B A) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_3 A) (tptp.m1_relset_1 C _let_3 A) (tptp.v1_funct_1 D) (tptp.v1_funct_2 D _let_2 A) (tptp.m1_relset_1 D _let_2 A)) (and (tptp.v2_rlvect_1 _let_1) (tptp.l2_rlvect_1 _let_1))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 tptp.k1_numbers A))) (let ((_let_2 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.m1_subset_1 B A) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 A) (tptp.m1_relset_1 C _let_2 A) (tptp.v1_funct_1 D) (tptp.v1_funct_2 D _let_1 A) (tptp.m1_relset_1 D _let_1 A)) (forall ((E $$unsorted) (F $$unsorted) (G $$unsorted) (H $$unsorted)) (=> (= (tptp.g2_rlvect_1 A B C D) (tptp.g2_rlvect_1 E F G H)) (and (= A E) (= B F) (= C G) (= D H)))))))) (exists ((A $$unsorted)) (and (tptp.l1_group_1 A) (tptp.v1_group_1 A))) (exists ((A $$unsorted)) (and (tptp.l1_group_1 A) (not (tptp.v3_struct_0 A)) (tptp.v1_group_1 A))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.g1_group_1 A B))) (let ((_let_2 (tptp.k2_zfmisc_1 A A))) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_2 A) (tptp.m1_relset_1 B _let_2 A)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v1_group_1 _let_1)))))) (forall ((A $$unsorted)) (let ((_let_1 (not (tptp.v3_struct_0 A)))) (=> (tptp.l1_group_1 A) (=> (and _let_1 (tptp.v3_group_1 A)) (and _let_1 (tptp.v2_group_1 A)))))) (exists ((A $$unsorted)) (and (tptp.l1_group_1 A) (not (tptp.v3_struct_0 A)) (tptp.v1_group_1 A) (tptp.v2_group_1 A) (tptp.v3_group_1 A) (tptp.v4_group_1 A))) (exists ((A $$unsorted)) (and (tptp.l1_group_1 A) (not (tptp.v3_struct_0 A)) (tptp.v1_group_1 A) (tptp.v2_group_1 A) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.v7_group_1 A))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.g1_rlvect_1 A B C))) (let ((_let_2 (tptp.k2_zfmisc_1 A A))) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_2 A) (tptp.m1_relset_1 B _let_2 A) (tptp.m1_subset_1 C A)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v1_rlvect_1 _let_1)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 C _let_1) (= (tptp.k1_group_1 A B C) (tptp.k2_binop_1 _let_1 _let_1 _let_1 (tptp.u1_group_1 A) B C))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_group_1 A)) (= (tptp.v2_group_1 A) (exists ((B $$unsorted)) (and (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (and (= (tptp.k1_group_1 A C B) C) (= (tptp.k1_group_1 A B C) C))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_group_1 A)) (= (tptp.v3_group_1 A) (exists ((B $$unsorted)) (and (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (and (= (tptp.k1_group_1 A C B) C) (= (tptp.k1_group_1 A B C) C) (exists ((D $$unsorted)) (and (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (= (tptp.k1_group_1 A C D) B) (= (tptp.k1_group_1 A D C) B))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_group_1 A)) (= (tptp.v4_group_1 A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (= (tptp.k1_group_1 A (tptp.k1_group_1 A B C) D) (tptp.k1_group_1 A B (tptp.k1_group_1 A C D)))))))))))) true true true true (forall ((A $$unsorted)) (let ((_let_1 (tptp.l1_group_1 A))) (let ((_let_2 (not (tptp.v3_struct_0 A)))) (=> (and _let_2 _let_1) (=> (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (= (tptp.k1_group_1 A (tptp.k1_group_1 A B C) D) (tptp.k1_group_1 A B (tptp.k1_group_1 A C D))))))))) (or (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (not (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (and (= (tptp.k1_group_1 A C B) C) (= (tptp.k1_group_1 A B C) C) (exists ((D $$unsorted)) (and (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (= (tptp.k1_group_1 A C D) B) (= (tptp.k1_group_1 A D C) B))))))))) (and _let_2 (tptp.v3_group_1 A) (tptp.v4_group_1 A) _let_1))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_group_1 A)) (=> (and (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (= (tptp.k1_group_1 A (tptp.k1_group_1 A B C) D) (tptp.k1_group_1 A B (tptp.k1_group_1 A C D))))))))) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (and (exists ((D $$unsorted)) (and (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (= (tptp.k1_group_1 A B D) C))) (exists ((D $$unsorted)) (and (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (= (tptp.k1_group_1 A D B) C))))))))) (and (tptp.v4_group_1 A) (tptp.v3_group_1 A))))) (and _let_15 _let_16) (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_14)) _let_16 _let_15 (tptp.v7_group_1 _let_14) (tptp.l1_group_1 _let_14)) 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_13 _let_9) (and _let_13 _let_9 (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 $$unsorted)) (and (tptp.l3_vectsp_1 A) (not (tptp.v3_struct_0 A)) (tptp.v3_vectsp_1 A))) (and _let_12 _let_8) (and _let_12 _let_11 _let_8) (and _let_12 (tptp.v3_rlvect_1 tptp.k3_vectsp_1) (tptp.v4_rlvect_1 tptp.k3_vectsp_1) (tptp.v5_rlvect_1 tptp.k3_vectsp_1) (tptp.v6_rlvect_1 tptp.k3_vectsp_1) _let_11 (tptp.v4_group_1 tptp.k3_vectsp_1) (tptp.v7_group_1 tptp.k3_vectsp_1) _let_8 (tptp.v6_vectsp_1 tptp.k3_vectsp_1) (tptp.v7_vectsp_1 tptp.k3_vectsp_1) (tptp.v8_vectsp_1 tptp.k3_vectsp_1) (tptp.v9_vectsp_1 tptp.k3_vectsp_1) (not (tptp.v10_vectsp_1 tptp.k3_vectsp_1))) (forall ((A $$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 $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l2_vectsp_1 A)) (= (tptp.v10_vectsp_1 A) (= (tptp.k1_rlvect_1 A) (tptp.k2_group_1 A))))) true true true true true true true true true true true true (= _let_10 tptp.np__1) (forall ((A $$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 $$unsorted)) (let ((_let_1 (tptp.k1_rlvect_1 A))) (let ((_let_2 (tptp.k4_vectsp_1 A B))) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (=> (not (= B _let_1)) (and (not (= _let_2 _let_1)) (not (= (tptp.k5_rlvect_1 A _let_2) _let_1)))))))))) true true true (not (= (tptp.k4_rlvect_1 tptp.k3_vectsp_1 _let_10 _let_10) (tptp.k1_rlvect_1 tptp.k3_vectsp_1))) true (forall ((A $$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 $$unsorted)) (=> (and (tptp.l1_struct_0 A) (tptp.l4_vectsp_1 B A)) (=> (tptp.v11_vectsp_1 B A) (= B (tptp.g4_vectsp_1 A (tptp.u1_struct_0 B) (tptp.u1_rlvect_1 B) (tptp.u2_struct_0 B) (tptp.u2_vectsp_1 A B)))))) (and _let_9 (tptp.l1_rlvect_1 tptp.k1_vectsp_1)) (forall ((A $$unsorted)) (=> (tptp.l1_vectsp_1 A) (tptp.m1_subset_1 (tptp.k2_vectsp_1 A) (tptp.u1_struct_0 A)))) (and _let_8 (tptp.l3_vectsp_1 tptp.k3_vectsp_1)) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_group_1 A) (tptp.v7_group_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.v9_vectsp_1 A) (tptp.l3_vectsp_1 A) (tptp.m1_subset_1 B _let_1)) (tptp.m1_subset_1 (tptp.k4_vectsp_1 A B) _let_1)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_group_1 A) (tptp.v7_group_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.v9_vectsp_1 A) (tptp.l3_vectsp_1 A) (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (tptp.m1_subset_1 (tptp.k5_vectsp_1 A B C) _let_1)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_struct_0 A) (not (tptp.v3_struct_0 B)) (tptp.l4_vectsp_1 B A) (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (tptp.m1_subset_1 D _let_1)) (tptp.m1_subset_1 (tptp.k6_vectsp_1 A B C D) _let_1)))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.k7_vectsp_1 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_rlvect_1 A)) (and (tptp.v1_funct_1 _let_2) (tptp.v1_funct_2 _let_2 _let_1 _let_1) (tptp.m2_relset_1 _let_2 _let_1 _let_1)))))) (forall ((A $$unsorted)) (=> (tptp.l1_vectsp_1 A) (tptp.m1_subset_1 (tptp.u1_vectsp_1 A) (tptp.u1_struct_0 A)))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.k2_zfmisc_1 (tptp.u1_struct_0 A) _let_1))) (let ((_let_3 (tptp.u2_vectsp_1 A B))) (=> (and (tptp.l1_struct_0 A) (tptp.l4_vectsp_1 B A)) (and (tptp.v1_funct_1 _let_3) (tptp.v1_funct_2 _let_3 _let_2 _let_1) (tptp.m2_relset_1 _let_3 _let_2 _let_1))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.g1_vectsp_1 A B C))) (let ((_let_2 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_2 A) (tptp.m1_relset_1 B _let_2 A) (tptp.m1_subset_1 C A)) (and (tptp.v1_vectsp_1 _let_1) (tptp.l1_vectsp_1 _let_1)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_1 A) (tptp.m1_relset_1 B _let_1 A) (tptp.m1_subset_1 C A)) (forall ((D $$unsorted) (E $$unsorted) (F $$unsorted)) (=> (= (tptp.g1_vectsp_1 A B C) (tptp.g1_vectsp_1 D E F)) (and (= A D) (= B E) (= C F))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.g2_vectsp_1 A B C D))) (let ((_let_2 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_2 A) (tptp.m1_relset_1 B _let_2 A) (tptp.m1_subset_1 C A) (tptp.m1_subset_1 D A)) (and (tptp.v2_vectsp_1 _let_1) (tptp.l2_vectsp_1 _let_1)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_1 A) (tptp.m1_relset_1 B _let_1 A) (tptp.m1_subset_1 C A) (tptp.m1_subset_1 D A)) (forall ((E $$unsorted) (F $$unsorted) (G $$unsorted) (H $$unsorted)) (=> (= (tptp.g2_vectsp_1 A B C D) (tptp.g2_vectsp_1 E F G H)) (and (= A E) (= B F) (= C G) (= D H))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (let ((_let_1 (tptp.g3_vectsp_1 A B C D E))) (let ((_let_2 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_2 A) (tptp.m1_relset_1 B _let_2 A) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 A) (tptp.m1_relset_1 C _let_2 A) (tptp.m1_subset_1 D A) (tptp.m1_subset_1 E A)) (and (tptp.v3_vectsp_1 _let_1) (tptp.l3_vectsp_1 _let_1)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_1 A) (tptp.m1_relset_1 B _let_1 A) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_1 A) (tptp.m1_relset_1 C _let_1 A) (tptp.m1_subset_1 D A) (tptp.m1_subset_1 E A)) (forall ((F $$unsorted) (G $$unsorted) (H $$unsorted) (I $$unsorted) (J $$unsorted)) (=> (= (tptp.g3_vectsp_1 A B C D E) (tptp.g3_vectsp_1 F G H I J)) (and (= A F) (= B G) (= C H) (= D I) (= E J))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (let ((_let_1 (tptp.g4_vectsp_1 A B C D E))) (let ((_let_2 (tptp.k2_zfmisc_1 (tptp.u1_struct_0 A) B))) (let ((_let_3 (tptp.k2_zfmisc_1 B B))) (=> (and (tptp.l1_struct_0 A) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_3 B) (tptp.m1_relset_1 C _let_3 B) (tptp.m1_subset_1 D B) (tptp.v1_funct_1 E) (tptp.v1_funct_2 E _let_2 B) (tptp.m1_relset_1 E _let_2 B)) (and (tptp.v11_vectsp_1 _let_1 A) (tptp.l4_vectsp_1 _let_1 A))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 (tptp.u1_struct_0 A) B))) (let ((_let_2 (tptp.k2_zfmisc_1 B B))) (=> (and (tptp.l1_struct_0 A) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 B) (tptp.m1_relset_1 C _let_2 B) (tptp.m1_subset_1 D B) (tptp.v1_funct_1 E) (tptp.v1_funct_2 E _let_1 B) (tptp.m1_relset_1 E _let_1 B)) (forall ((F $$unsorted) (G $$unsorted) (H $$unsorted) (I $$unsorted) (J $$unsorted)) (=> (= (tptp.g4_vectsp_1 A B C D E) (tptp.g4_vectsp_1 F G H I J)) (and (= A F) (= B G) (= C H) (= D I) (= E J)))))))) (exists ((A $$unsorted)) (and (tptp.l1_orders_2 A) (tptp.v1_orders_2 A))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.g1_orders_2 A B))) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.m1_relset_1 B A A)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v1_orders_2 _let_1))))) (exists ((A $$unsorted)) (and (tptp.l1_orders_2 A) (not (tptp.v3_struct_0 A)) (tptp.v1_orders_2 A) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.u1_orders_2 A))) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.l1_orders_2 A)) (and (tptp.v1_relat_1 _let_2) (tptp.v1_relat_2 _let_2) (tptp.v4_relat_2 _let_2) (tptp.v8_relat_2 _let_2) (tptp.v1_partfun1 _let_2 _let_1 _let_1)))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.g1_orders_2 A B))) (=> (and (tptp.v1_relat_2 B) (tptp.v4_relat_2 B) (tptp.v8_relat_2 B) (tptp.v1_partfun1 B A A) (tptp.m1_relset_1 B A A)) (and (tptp.v1_orders_2 _let_1) (tptp.v2_orders_2 _let_1) (tptp.v3_orders_2 _let_1) (tptp.v4_orders_2 _let_1))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k1_pre_topc A))) (=> (tptp.l1_orders_2 A) (and (tptp.v1_xboole_0 _let_1) (tptp.v1_membered _let_1) (tptp.v2_membered _let_1) (tptp.v3_membered _let_1) (tptp.v4_membered _let_1) (tptp.v5_membered _let_1) (tptp.v5_orders_2 _let_1 A))))) (forall ((A $$unsorted)) (=> (tptp.l1_orders_2 A) (exists ((B $$unsorted)) (and (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (tptp.v5_orders_2 B A))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.l1_orders_2 A) (tptp.m1_orders_1 B (tptp.k1_orders_1 (tptp.u1_struct_0 A)))) (not (tptp.v1_xboole_0 (tptp.k4_orders_2 A B))))) true true true (forall ((A $$unsorted)) (=> (tptp.l1_orders_2 A) (= (tptp.v2_orders_2 A) (tptp.r1_relat_2 (tptp.u1_orders_2 A) (tptp.u1_struct_0 A))))) (forall ((A $$unsorted)) (=> (tptp.l1_orders_2 A) (= (tptp.v3_orders_2 A) (tptp.r8_relat_2 (tptp.u1_orders_2 A) (tptp.u1_struct_0 A))))) (forall ((A $$unsorted)) (=> (tptp.l1_orders_2 A) (= (tptp.v4_orders_2 A) (tptp.r4_relat_2 (tptp.u1_orders_2 A) (tptp.u1_struct_0 A))))) true true (forall ((A $$unsorted)) (=> (tptp.l1_orders_2 A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (tptp.r1_orders_2 A B C) (tptp.r2_hidden (tptp.k4_tarski B C) (tptp.u1_orders_2 A))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_orders_2 A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (tptp.r2_orders_2 A B C) (and (tptp.r1_orders_2 A B C) (not (= B C)))))))))) true true true true true true true true true true true true true true true true true true true true true true true (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (tptp.r1_orders_2 A B B))))) (forall ((A $$unsorted)) (=> (and (tptp.v4_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (=> (and (tptp.r1_orders_2 A B C) (tptp.r1_orders_2 A C B)) (= B C)))))))) (forall ((A $$unsorted)) (=> (and (tptp.v3_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (=> (and (tptp.r1_orders_2 A B C) (tptp.r1_orders_2 A C D)) (tptp.r1_orders_2 A B D)))))))))) true (forall ((A $$unsorted)) (=> (and (tptp.v4_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (not (and (tptp.r2_orders_2 A B C) (tptp.r2_orders_2 A C B))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (=> (and (tptp.r2_orders_2 A B C) (tptp.r2_orders_2 A C D)) (tptp.r2_orders_2 A B D)))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v4_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (not (and (tptp.r1_orders_2 A B C) (tptp.r2_orders_2 A C B))))))))) true (forall ((A $$unsorted)) (=> (and (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (=> (or (and (tptp.r2_orders_2 A B C) (tptp.r1_orders_2 A C D)) (and (tptp.r1_orders_2 A B C) (tptp.r2_orders_2 A C D))) (tptp.r2_orders_2 A B D)))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_orders_2 A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (tptp.v5_orders_2 B A) (tptp.r7_relat_2 (tptp.u1_orders_2 A) B)))))) true true (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.k1_struct_0 A B))) (=> (tptp.m1_subset_1 B _let_1) (and (tptp.v5_orders_2 _let_2 A) (tptp.m1_subset_1 _let_2 (tptp.k1_zfmisc_1 _let_1))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.k2_struct_0 A B C))) (=> (tptp.m1_subset_1 C _let_1) (= (and (tptp.v5_orders_2 _let_2 A) (tptp.m1_subset_1 _let_2 (tptp.k1_zfmisc_1 _let_1))) (or (tptp.r3_orders_2 A B C) (tptp.r3_orders_2 A C B))))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_orders_2 A) (forall ((B $$unsorted)) (=> (and (tptp.v5_orders_2 B A) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (forall ((C $$unsorted)) (let ((_let_1 (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))))) (=> _let_1 (=> (tptp.r1_tarski C B) (and (tptp.v5_orders_2 C A) _let_1))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.r1_orders_2 A C B))) (let ((_let_2 (tptp.r1_orders_2 A B C))) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (and (not (and (exists ((D $$unsorted)) (and (tptp.v5_orders_2 D A) (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (tptp.r2_hidden B D) (tptp.r2_hidden C D))) (not _let_2) (not _let_1))) (not (and (or _let_2 _let_1) (forall ((D $$unsorted)) (=> (and (tptp.v5_orders_2 D A) (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (not (and (tptp.r2_hidden B D) (tptp.r2_hidden C D)))))))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v4_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (exists ((D $$unsorted)) (and (tptp.v5_orders_2 D A) (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (tptp.r2_hidden B D) (tptp.r2_hidden C D))) (= (tptp.r2_orders_2 A B C) (not (tptp.r1_orders_2 A C B)))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_orders_2 A) (forall ((B $$unsorted)) (let ((_let_1 (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))))) (=> _let_1 (=> (tptp.r2_wellord1 (tptp.u1_orders_2 A) B) (and (tptp.v5_orders_2 B A) _let_1))))))) true true (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.l1_orders_2 A)) (= (tptp.k1_orders_2 A (tptp.k1_pre_topc A)) (tptp.u1_struct_0 A)))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.l1_orders_2 A)) (= (tptp.k1_orders_2 A (tptp.k2_pre_topc A)) tptp.k1_xboole_0))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.l1_orders_2 A)) (= (tptp.k2_orders_2 A (tptp.k1_pre_topc A)) (tptp.u1_struct_0 A)))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.l1_orders_2 A)) (= (tptp.k2_orders_2 A (tptp.k2_pre_topc A)) tptp.k1_xboole_0))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (not (and (tptp.r2_hidden B C) (tptp.r2_hidden B (tptp.k1_orders_2 A C)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (not (tptp.r2_hidden B (tptp.k1_orders_2 A (tptp.k1_struct_0 A B)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (not (and (tptp.r2_hidden B C) (tptp.r2_hidden B (tptp.k2_orders_2 A C)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (not (tptp.r2_hidden B (tptp.k2_orders_2 A (tptp.k1_struct_0 A B)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (tptp.r2_orders_2 A B C) (tptp.r2_hidden C (tptp.k1_orders_2 A (tptp.k1_struct_0 A B)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (tptp.r2_orders_2 A B C) (tptp.r2_hidden B (tptp.k2_orders_2 A (tptp.k1_struct_0 A C)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 C _let_1) (= (tptp.k3_orders_2 A B C) (tptp.k5_subset_1 _let_1 (tptp.k2_orders_2 A (tptp.k1_struct_0 A C)) B))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (let ((_let_1 (tptp.m1_orders_2 C A B))) (let ((_let_2 (= B tptp.k1_xboole_0))) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (and (=> (not _let_2) (= _let_1 (exists ((D $$unsorted)) (and (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (tptp.r2_hidden D B) (= C (tptp.k3_orders_2 A B D)))))) (=> _let_2 (= _let_1 (= C tptp.k1_xboole_0)))))))))))) true true true (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.l1_orders_2 B)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 B)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B))) (= (tptp.r2_hidden A (tptp.k3_orders_2 B D C)) (and (tptp.r2_hidden A (tptp.k2_orders_2 B (tptp.k1_struct_0 B C))) (tptp.r2_hidden A D))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (tptp.r2_hidden B (tptp.k3_orders_2 A D C)) (and (tptp.r2_orders_2 A B C) (tptp.r2_hidden B D))))))))))) true true (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (= (tptp.k3_orders_2 A (tptp.k1_pre_topc A) B) tptp.k1_xboole_0))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (tptp.r1_tarski (tptp.k3_orders_2 A C B) C))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (not (tptp.r2_hidden B (tptp.k3_orders_2 A C B))))))))) true (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (tptp.r2_orders_2 A B C) (tptp.r1_tarski (tptp.k3_orders_2 A D B) (tptp.k3_orders_2 A D C))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (tptp.r1_tarski C D) (tptp.r1_tarski (tptp.k3_orders_2 A C B) (tptp.k3_orders_2 A D B))))))))))) true (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (=> (tptp.m1_orders_2 C A B) (tptp.r1_tarski C B))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (let ((_let_1 (= B tptp.k1_xboole_0))) (let ((_let_2 (tptp.m1_orders_2 B A B))) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (and (not (and (not _let_1) _let_2)) (not (and (not _let_2) _let_1))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (not (and (not (and (= B tptp.k1_xboole_0) (= C tptp.k1_xboole_0))) (tptp.m1_orders_2 B A C) (tptp.m1_orders_2 C A B))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (and (tptp.r2_orders_2 A B C) (tptp.r2_hidden B D) (tptp.r2_hidden C E) (tptp.m1_orders_2 E A D)) (tptp.r2_hidden B E)))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (and (tptp.r2_hidden B C) (tptp.m1_orders_2 C A D)) (= (tptp.k3_orders_2 A C B) (tptp.k3_orders_2 A D B))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (not (and (tptp.r1_tarski B C) (tptp.r2_wellord1 (tptp.u1_orders_2 A) C) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.u1_struct_0 A)) (=> (and (tptp.r2_hidden E B) (tptp.r2_orders_2 A D E)) (tptp.r2_hidden D B)))))) (not (= B C)) (not (tptp.m1_orders_2 B A C)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (not (and (tptp.r1_tarski B C) (tptp.r2_wellord1 (tptp.u1_orders_2 A) C) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.u1_struct_0 A)) (=> (and (tptp.r2_hidden E B) (tptp.r2_hidden D C) (tptp.r2_orders_2 A D E)) (tptp.r2_hidden D B)))))) (not (= B C)) (not (tptp.m1_orders_2 B A C)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_orders_1 B (tptp.k1_orders_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (=> (and (tptp.v5_orders_2 C A) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (= (tptp.m2_orders_2 C A B) (and (not (= C tptp.k1_xboole_0)) (tptp.r2_wellord1 (tptp.u1_orders_2 A) C) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (=> (tptp.r2_hidden D C) (= (tptp.k1_funct_1 B (tptp.k1_orders_2 A (tptp.k3_orders_2 A C D))) D)))))))))))) true true true true (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_orders_1 B (tptp.k1_orders_1 _let_1)) (tptp.m2_orders_2 (tptp.k1_tarski (tptp.k1_funct_1 B _let_1)) A B)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_orders_1 B (tptp.k1_orders_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (=> (tptp.m2_orders_2 C A B) (tptp.r2_hidden (tptp.k1_funct_1 B (tptp.u1_struct_0 A)) C))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_orders_1 D (tptp.k1_orders_1 (tptp.u1_struct_0 A))) (forall ((E $$unsorted)) (=> (tptp.m2_orders_2 E A D) (=> (and (tptp.r2_hidden B E) (= C (tptp.k1_funct_1 D (tptp.u1_struct_0 A)))) (tptp.r3_orders_2 A C B)))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_orders_1 C (tptp.k1_orders_1 (tptp.u1_struct_0 A))) (forall ((D $$unsorted)) (=> (tptp.m2_orders_2 D A C) (=> (= B (tptp.k1_funct_1 C (tptp.u1_struct_0 A))) (= (tptp.k3_orders_2 A D B) tptp.k1_xboole_0)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_orders_1 B (tptp.k1_orders_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (=> (tptp.m2_orders_2 C A B) (forall ((D $$unsorted)) (=> (tptp.m2_orders_2 D A B) (not (tptp.r1_xboole_0 C D)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_orders_1 B (tptp.k1_orders_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (=> (tptp.m2_orders_2 C A B) (forall ((D $$unsorted)) (=> (tptp.m2_orders_2 D A B) (=> (not (= C D)) (= (tptp.m1_orders_2 C A D) (not (tptp.m1_orders_2 D A C)))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_orders_1 B (tptp.k1_orders_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (=> (tptp.m2_orders_2 C A B) (forall ((D $$unsorted)) (=> (tptp.m2_orders_2 D A B) (= (tptp.r2_xboole_0 C D) (tptp.m1_orders_2 C A D)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_orders_1 B (tptp.k1_orders_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (= (= C (tptp.k4_orders_2 A B)) (forall ((D $$unsorted)) (= (tptp.r2_hidden D C) (tptp.m2_orders_2 D A B))))))))) true true (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_orders_1 B (tptp.k1_orders_1 (tptp.u1_struct_0 A))) (not (= (tptp.k3_tarski (tptp.k4_orders_2 A B)) tptp.k1_xboole_0)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (=> (tptp.m1_orders_1 C (tptp.k1_orders_1 (tptp.u1_struct_0 A))) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k3_tarski (tptp.k4_orders_2 A C)))) (=> (tptp.m2_orders_2 D A C) (=> (= B _let_1) (or (= D _let_1) (tptp.m1_orders_2 D A B)))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_orders_1 B (tptp.k1_orders_1 (tptp.u1_struct_0 A))) (tptp.m2_orders_2 (tptp.k3_tarski (tptp.k4_orders_2 A B)) A B))))) true true true true true true true true true true true true true true true true true (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (tptp.k3_relat_1 (tptp.k2_wellord1 (tptp.u1_orders_2 A) B)) B))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))))) (=> _let_1 (=> (tptp.v3_orders_1 (tptp.k2_wellord1 (tptp.u1_orders_2 A) B)) (and (tptp.v5_orders_2 B A) _let_1))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (tptp.v5_orders_2 B A) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (tptp.v3_orders_1 (tptp.k2_wellord1 (tptp.u1_orders_2 A) B)))))) true true true true true true true true true true true true true true true true true true true true true true true true true (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))))) (=> _let_1 (=> (tptp.r3_orders_1 (tptp.u1_orders_2 A) B) (and (tptp.v5_orders_2 B A) _let_1))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (tptp.v5_orders_2 B A) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (tptp.r3_orders_1 (tptp.u1_orders_2 A) B))))) true true true true true true true true true true true true true true true true true true true true true (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (= (tptp.r7_orders_1 (tptp.u1_orders_2 A) B) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (not (tptp.r2_orders_2 A C B))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (= (tptp.r6_orders_1 (tptp.u1_orders_2 A) B) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (not (tptp.r2_orders_2 A B C))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (= (tptp.r8_orders_1 (tptp.u1_orders_2 A) B) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (=> (not (= B C)) (tptp.r2_orders_2 A C B))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (= (tptp.r9_orders_1 (tptp.u1_orders_2 A) B) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (=> (not (= B C)) (tptp.r2_orders_2 A B C))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.l1_orders_2 A)) (not (and (forall ((B $$unsorted)) (=> (and (tptp.v5_orders_2 B A) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (exists ((C $$unsorted)) (and (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (=> (tptp.r2_hidden D B) (tptp.r3_orders_2 A D C)))))))) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (exists ((C $$unsorted)) (and (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (tptp.r2_orders_2 A B C))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.l1_orders_2 A)) (not (and (forall ((B $$unsorted)) (=> (and (tptp.v5_orders_2 B A) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (exists ((C $$unsorted)) (and (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (=> (tptp.r2_hidden D B) (tptp.r3_orders_2 A C D)))))))) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (exists ((C $$unsorted)) (and (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (tptp.r2_orders_2 A C B))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.l1_orders_2 A) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (forall ((C $$unsorted)) (=> (tptp.m1_orders_2 C A B) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.l1_orders_2 A) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (exists ((C $$unsorted)) (tptp.m1_orders_2 C A B)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.l1_orders_2 A) (tptp.m1_orders_1 B (tptp.k1_orders_1 (tptp.u1_struct_0 A)))) (forall ((C $$unsorted)) (=> (tptp.m2_orders_2 C A B) (and (tptp.v5_orders_2 C A) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.l1_orders_2 A) (tptp.m1_orders_1 B (tptp.k1_orders_1 (tptp.u1_struct_0 A)))) (exists ((C $$unsorted)) (tptp.m2_orders_2 C A B)))) (forall ((A $$unsorted)) (=> (tptp.l1_orders_2 A) (tptp.l1_struct_0 A))) (exists ((A $$unsorted)) (tptp.l1_orders_2 A)) (forall ((A $$unsorted)) (=> (tptp.l1_orders_2 A) (=> (tptp.v1_orders_2 A) (= A (tptp.g1_orders_2 (tptp.u1_struct_0 A) (tptp.u1_orders_2 A)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (tptp.l1_orders_2 A) (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (not (tptp.r2_orders_2 A B B))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.l1_orders_2 A) (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (tptp.r3_orders_2 A B B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.l1_orders_2 A) (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (= (tptp.r3_orders_2 A B C) (tptp.r1_orders_2 A B C))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.l1_orders_2 A) (tptp.m1_subset_1 B _let_1)) (tptp.m1_subset_1 (tptp.k1_orders_2 A B) _let_1)))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.l1_orders_2 A) (tptp.m1_subset_1 B _let_1)) (tptp.m1_subset_1 (tptp.k2_orders_2 A B) _let_1)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.k1_zfmisc_1 _let_1))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.l1_orders_2 A) (tptp.m1_subset_1 B _let_2) (tptp.m1_subset_1 C _let_1)) (tptp.m1_subset_1 (tptp.k3_orders_2 A B C) _let_2))))) true (forall ((A $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.l1_orders_2 A) (tptp.m2_relset_1 (tptp.u1_orders_2 A) _let_1 _let_1)))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.g1_orders_2 A B))) (=> (tptp.m1_relset_1 B A A) (and (tptp.v1_orders_2 _let_1) (tptp.l1_orders_2 _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_relset_1 B A A) (forall ((C $$unsorted) (D $$unsorted)) (=> (= (tptp.g1_orders_2 A B) (tptp.g1_orders_2 C D)) (and (= A C) (= B D)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (tptp.k1_orders_2 A B) (tptp.a_2_0_orders_2 A B)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (tptp.k2_orders_2 A B) (tptp.a_2_1_orders_2 A B)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.l1_orders_2 B) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B)))) (= (tptp.r2_hidden A (tptp.a_2_0_orders_2 B C)) (exists ((D $$unsorted)) (and (tptp.m1_subset_1 D (tptp.u1_struct_0 B)) (= A D) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.u1_struct_0 B)) (=> (tptp.r2_hidden E C) (tptp.r2_orders_2 B E D))))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.l1_orders_2 B) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B)))) (= (tptp.r2_hidden A (tptp.a_2_1_orders_2 B C)) (exists ((D $$unsorted)) (and (tptp.m1_subset_1 D (tptp.u1_struct_0 B)) (= A D) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.u1_struct_0 B)) (=> (tptp.r2_hidden E C) (tptp.r2_orders_2 B D E))))))))) (exists ((A $$unsorted)) (and (tptp.l3_lattices A) (not (tptp.v3_struct_0 A)) (tptp.v3_lattices A) (tptp.v4_lattices A) (tptp.v5_lattices A) (tptp.v6_lattices A) (tptp.v7_lattices A) (tptp.v8_lattices A) (tptp.v9_lattices A) (tptp.v10_lattices A) (tptp.v3_filter_0 A))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.v10_lattices A))) (let ((_let_2 (not (tptp.v3_struct_0 A)))) (=> (tptp.l3_lattices A) (=> (and _let_2 _let_1 (tptp.v3_filter_0 A)) (and _let_2 (tptp.v4_lattices A) (tptp.v5_lattices A) (tptp.v6_lattices A) (tptp.v7_lattices A) (tptp.v8_lattices A) (tptp.v9_lattices A) _let_1 (tptp.v11_lattices A) (tptp.v12_lattices A))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A) (not (tptp.v1_xboole_0 B)) (tptp.m1_subset_1 B _let_1) (not (tptp.v1_xboole_0 C)) (tptp.m1_subset_1 C _let_1)) (not (tptp.v1_xboole_0 (tptp.k5_filter_0 A B C)))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k8_filter_0 A B))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A) (tptp.m1_filter_0 B A)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v3_lattices _let_1) (tptp.v4_lattices _let_1) (tptp.v5_lattices _let_1) (tptp.v6_lattices _let_1) (tptp.v7_lattices _let_1) (tptp.v8_lattices _let_1) (tptp.v9_lattices _let_1) (tptp.v10_lattices _let_1))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k3_lattices A C D))) (let ((_let_2 (tptp.k3_lattices A D B))) (let ((_let_3 (tptp.k3_lattices A D C))) (let ((_let_4 (tptp.k3_lattices A B D))) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (=> (tptp.r3_lattices A B C) (and (tptp.r3_lattices A _let_2 _let_3) (tptp.r3_lattices A _let_4 _let_1) (tptp.r3_lattices A _let_4 _let_3) (tptp.r3_lattices A _let_2 _let_1))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (=> (tptp.r3_lattices A B C) (and (tptp.r3_lattices A (tptp.k4_lattices A B D) C) (tptp.r3_lattices A (tptp.k4_lattices A D B) C))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (=> (tptp.r3_lattices A B C) (and (tptp.r3_lattices A B (tptp.k3_lattices A D C)) (tptp.r3_lattices A B (tptp.k3_lattices A C D)))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (forall ((E $$unsorted)) (let ((_let_1 (tptp.k3_lattices A B D))) (=> (tptp.m1_subset_1 E (tptp.u1_struct_0 A)) (=> (and (tptp.r3_lattices A B C) (tptp.r3_lattices A D E)) (and (tptp.r3_lattices A _let_1 (tptp.k3_lattices A C E)) (tptp.r3_lattices A _let_1 (tptp.k3_lattices A E C))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (forall ((E $$unsorted)) (let ((_let_1 (tptp.k4_lattices A B D))) (=> (tptp.m1_subset_1 E (tptp.u1_struct_0 A)) (=> (and (tptp.r3_lattices A B C) (tptp.r3_lattices A D E)) (and (tptp.r3_lattices A _let_1 (tptp.k4_lattices A C E)) (tptp.r3_lattices A _let_1 (tptp.k4_lattices A E C))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (=> (and (tptp.r3_lattices A B C) (tptp.r3_lattices A D C)) (tptp.r3_lattices A (tptp.k3_lattices A B D) C)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (=> (and (tptp.r3_lattices A B C) (tptp.r3_lattices A B D)) (tptp.r3_lattices A B (tptp.k4_lattices A C D))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (= (tptp.m1_filter_0 B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (= (and (tptp.r2_hidden C B) (tptp.r2_hidden D B)) (tptp.r2_hidden (tptp.k4_lattices A C D) B))))))))))) true (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (= (tptp.m1_filter_0 B A) (and (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (=> (and (tptp.r2_hidden C B) (tptp.r2_hidden D B)) (tptp.r2_hidden (tptp.k4_lattices A C D) B)))))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (=> (and (tptp.r2_hidden C B) (tptp.r3_lattices A C D)) (tptp.r2_hidden D B)))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_filter_0 D A) (=> (tptp.r2_hidden B D) (and (tptp.r2_hidden (tptp.k3_lattices A B C) D) (tptp.r2_hidden (tptp.k3_lattices A C B) D))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_filter_0 B A) (exists ((C $$unsorted)) (and (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (tptp.r2_hidden C B))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_filter_0 B A) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v14_lattices A) (tptp.l3_lattices A)) (tptp.r2_hidden (tptp.k6_lattices A) B)))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.l3_lattices A))) (let ((_let_2 (tptp.v10_lattices A))) (let ((_let_3 (not (tptp.v3_struct_0 A)))) (=> (and _let_3 _let_2 _let_1) (=> (and _let_3 _let_2 (tptp.v14_lattices A) _let_1) (tptp.m1_filter_0 (tptp.k6_domain_1 (tptp.u1_struct_0 A) (tptp.k6_lattices A)) A))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 B _let_1) (=> (tptp.m1_filter_0 (tptp.k6_domain_1 _let_1 B) A) (tptp.v14_lattices A))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (tptp.m1_filter_0 (tptp.u1_struct_0 A) A))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (= (tptp.k1_filter_0 A) (tptp.u1_struct_0 A)))) true true (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (tptp.r2_hidden B (tptp.k2_filter_0 A C)) (tptp.r3_lattices A C B)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k2_filter_0 A B))) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (and (tptp.r2_hidden B _let_1) (tptp.r2_hidden (tptp.k3_lattices A B C) _let_1) (tptp.r2_hidden (tptp.k3_lattices A C B) _let_1))))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.l3_lattices A))) (let ((_let_2 (tptp.v10_lattices A))) (let ((_let_3 (not (tptp.v3_struct_0 A)))) (=> (and _let_3 _let_2 _let_1) (=> (and _let_3 _let_2 (tptp.v13_lattices A) _let_1) (= (tptp.k1_filter_0 A) (tptp.k2_filter_0 A (tptp.k5_lattices A))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_filter_0 B A) (= (tptp.v1_filter_0 B A) (and (not (= B (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (=> (tptp.m1_filter_0 C A) (=> (tptp.r1_tarski B C) (or (= C (tptp.u1_struct_0 A)) (= B C))))))))))) true (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (=> (tptp.v13_lattices A) (forall ((B $$unsorted)) (=> (tptp.m1_filter_0 B A) (not (and (not (= B (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (=> (tptp.m1_filter_0 C A) (not (and (tptp.r1_tarski B C) (tptp.v1_filter_0 C A)))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 B _let_1) (not (and (not (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (tptp.k4_lattices A B C) B)))) (= (tptp.k2_filter_0 A B) _let_1)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (not (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v13_lattices A) (tptp.l3_lattices A) (not (= B (tptp.k5_lattices A))) (forall ((C $$unsorted)) (=> (tptp.m1_filter_0 C A) (not (and (tptp.r2_hidden B C) (tptp.v1_filter_0 C A))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (forall ((C $$unsorted)) (=> (tptp.m1_filter_0 C A) (= (= C (tptp.k3_filter_0 A B)) (and (tptp.r1_tarski B C) (forall ((D $$unsorted)) (=> (tptp.m1_filter_0 D A) (=> (tptp.r1_tarski B D) (tptp.r1_tarski C D)))))))))))) true (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_filter_0 B A) (= (tptp.k3_filter_0 A B) B))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (forall ((C $$unsorted)) (=> (and (not (tptp.v1_xboole_0 C)) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (=> (tptp.r1_tarski B C) (tptp.r1_tarski (tptp.k3_filter_0 A B) (tptp.k3_filter_0 A C))))))))) true (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (and (not (tptp.v1_xboole_0 C)) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (=> (tptp.r2_hidden B C) (tptp.r1_tarski (tptp.k2_filter_0 A B) (tptp.k3_filter_0 A C))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v1_xboole_0 C)) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 _let_1))) (=> (= C (tptp.k6_domain_1 _let_1 B)) (= (tptp.k3_filter_0 A C) (tptp.k2_filter_0 A B)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.k3_filter_0 A B))) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 _let_1))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v13_lattices A) (tptp.l3_lattices A) (tptp.r2_hidden (tptp.k5_lattices A) B)) (and (= _let_2 (tptp.k1_filter_0 A)) (= _let_2 _let_1))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_filter_0 B A) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v13_lattices A) (tptp.l3_lattices A) (tptp.r2_hidden (tptp.k5_lattices A) B)) (and (= B (tptp.k1_filter_0 A)) (= B (tptp.u1_struct_0 A)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_filter_0 B A) (= (tptp.v2_filter_0 B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (= (tptp.r2_hidden (tptp.k3_lattices A C D) B) (or (tptp.r2_hidden C B) (tptp.r2_hidden D B)))))))))))) true (forall ((A $$unsorted)) (let ((_let_1 (tptp.l3_lattices A))) (let ((_let_2 (tptp.v10_lattices A))) (let ((_let_3 (not (tptp.v3_struct_0 A)))) (=> (and _let_3 _let_2 _let_1) (=> (and _let_3 _let_2 (tptp.v17_lattices A) _let_1) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (and (tptp.r3_lattices A (tptp.k4_lattices A B (tptp.k3_lattices A (tptp.k7_lattices A B) C)) C) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (=> (tptp.r3_lattices A (tptp.k4_lattices A B D) C) (tptp.r3_lattices A D (tptp.k3_lattices A (tptp.k7_lattices A B) C)))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l3_lattices A)) (= (tptp.v3_filter_0 A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (exists ((D $$unsorted)) (and (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (tptp.r1_lattices A (tptp.k2_lattices A B D) C) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.u1_struct_0 A)) (=> (tptp.r1_lattices A (tptp.k2_lattices A B E) C) (tptp.r1_lattices A E D))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v3_filter_0 A) (tptp.l3_lattices A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (= (= D (tptp.k4_filter_0 A B C)) (and (tptp.r3_lattices A (tptp.k4_lattices A B D) C) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.u1_struct_0 A)) (=> (tptp.r3_lattices A (tptp.k4_lattices A B E) C) (tptp.r3_lattices A E D))))))))))))))) true true (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v3_filter_0 A) (tptp.l3_lattices A)) (tptp.v14_lattices A))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v3_filter_0 A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (= (tptp.k4_filter_0 A B B) (tptp.k6_lattices A)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v3_filter_0 A) (tptp.l3_lattices A)) (tptp.v11_lattices A))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v17_lattices A) (tptp.l3_lattices A)) (tptp.v3_filter_0 A))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v3_filter_0 A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_filter_0 D A) (=> (and (tptp.r2_hidden B D) (tptp.r2_hidden (tptp.k4_filter_0 A B C) D)) (tptp.r2_hidden C D)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v3_filter_0 A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_filter_0 D A) (=> (tptp.r2_hidden B D) (tptp.r2_hidden (tptp.k4_filter_0 A C B) D)))))))))) true (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (and (not (tptp.v1_xboole_0 D)) (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (forall ((E $$unsorted)) (let ((_let_1 (tptp.k5_filter_0 A D E))) (=> (and (not (tptp.v1_xboole_0 E)) (tptp.m1_subset_1 E (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (=> (and (tptp.r2_hidden B D) (tptp.r2_hidden C E)) (and (tptp.r2_hidden (tptp.k4_lattices A B C) _let_1) (tptp.r2_hidden (tptp.k4_lattices A C B) _let_1)))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v1_xboole_0 C)) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (forall ((D $$unsorted)) (=> (and (not (tptp.v1_xboole_0 D)) (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (not (and (tptp.r2_hidden B (tptp.k5_filter_0 A C D)) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.u1_struct_0 A)) (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F (tptp.u1_struct_0 A)) (not (and (= B (tptp.k4_lattices A E F)) (tptp.r2_hidden E C) (tptp.r2_hidden F D))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (forall ((C $$unsorted)) (=> (and (not (tptp.v1_xboole_0 C)) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (= (tptp.k5_filter_0 A B C) (tptp.k5_filter_0 A C B)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.k3_filter_0 A (tptp.k4_subset_1 _let_1 B C)))) (=> (and (not (tptp.v1_xboole_0 C)) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 _let_1))) (and (= _let_2 (tptp.k3_filter_0 A (tptp.k4_subset_1 _let_1 (tptp.k3_filter_0 A B) C))) (= _let_2 (tptp.k3_filter_0 A (tptp.k4_subset_1 _let_1 B (tptp.k3_filter_0 A C))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_filter_0 B A) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k5_filter_0 A B C))) (=> (tptp.m1_filter_0 C A) (and (tptp.r1_tarski B _let_1) (tptp.r1_tarski C _let_1))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_filter_0 B A) (forall ((C $$unsorted)) (=> (tptp.m1_filter_0 C A) (= (tptp.k3_filter_0 A (tptp.k4_subset_1 (tptp.u1_struct_0 A) B C)) (tptp.k3_filter_0 A (tptp.k5_filter_0 A B C))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v3_filter_0 A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_filter_0 B A) (forall ((C $$unsorted)) (=> (tptp.m1_filter_0 C A) (= (tptp.k3_filter_0 A (tptp.k4_subset_1 (tptp.u1_struct_0 A) B C)) (tptp.k6_filter_0 A B C)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v17_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_filter_0 B A) (forall ((C $$unsorted)) (=> (tptp.m1_filter_0 C A) (= (tptp.k3_filter_0 A (tptp.k4_subset_1 (tptp.u1_struct_0 A) B C)) (tptp.k7_filter_0 A B C)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v3_filter_0 A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v1_xboole_0 D)) (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 _let_1))) (=> (tptp.r2_hidden B (tptp.k3_filter_0 A (tptp.k4_subset_1 _let_1 D (tptp.k6_domain_1 _let_1 C)))) (tptp.r2_hidden (tptp.k4_filter_0 A C B) (tptp.k3_filter_0 A D)))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v3_filter_0 A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (forall ((E $$unsorted)) (=> (tptp.m1_filter_0 E A) (=> (and (tptp.r2_hidden (tptp.k4_filter_0 A B C) E) (tptp.r2_hidden (tptp.k4_filter_0 A C D) E)) (tptp.r2_hidden (tptp.k4_filter_0 A B D) E)))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v17_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (tptp.k4_filter_0 A B C) (tptp.k3_lattices A (tptp.k7_lattices A B) C)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v17_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (tptp.r3_lattices A B C) (= (tptp.k4_lattices A B (tptp.k7_lattices A C)) (tptp.k5_lattices A))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v17_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_filter_0 B A) (= (tptp.v1_filter_0 B A) (and (not (= B (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (or (tptp.r2_hidden C B) (tptp.r2_hidden (tptp.k7_lattices A C) B)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v17_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_filter_0 B A) (= (and (not (= B (tptp.k1_filter_0 A))) (tptp.v2_filter_0 B A)) (tptp.v1_filter_0 B A)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v17_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_filter_0 B A) (=> (tptp.v1_filter_0 B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (tptp.r2_hidden C B) (not (tptp.r2_hidden (tptp.k7_lattices A C) B)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v17_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (not (and (not (= B C)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.r2_hidden C D))) (let ((_let_2 (tptp.r2_hidden B D))) (=> (tptp.m1_filter_0 D A) (not (and (tptp.v1_filter_0 D A) (or (and _let_2 (not _let_1)) (and (not _let_2) _let_1)))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_filter_0 B A) (forall ((C $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.v10_lattices C) (tptp.l3_lattices C)) (= (= C (tptp.k8_filter_0 A B)) (exists ((D $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 B B))) (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D _let_1 B) (tptp.m2_relset_1 D _let_1 B) (exists ((E $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 B B))) (and (tptp.v1_funct_1 E) (tptp.v1_funct_2 E _let_1 B) (tptp.m2_relset_1 E _let_1 B) (= D (tptp.k1_realset1 (tptp.u2_lattices A) B)) (= E (tptp.k1_realset1 (tptp.u1_lattices A) B)) (= C (tptp.g3_lattices B D E))))))))))))))) true (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_lattices A) (tptp.v10_lattices A) (tptp.l3_lattices A)) (= (tptp.k8_filter_0 A (tptp.k1_filter_0 A)) A))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k8_filter_0 A B))) (=> (tptp.m1_filter_0 B A) (and (= (tptp.u1_struct_0 _let_1) B) (= (tptp.u2_lattices _let_1) (tptp.k1_realset1 (tptp.u2_lattices A) B)) (= (tptp.u1_lattices _let_1) (tptp.k1_realset1 (tptp.u1_lattices A) B)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_filter_0 D A) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.u1_struct_0 (tptp.k8_filter_0 A D))) (forall ((F $$unsorted)) (let ((_let_1 (tptp.k8_filter_0 A D))) (=> (tptp.m1_subset_1 F (tptp.u1_struct_0 _let_1)) (=> (and (= B E) (= C F)) (and (= (tptp.k3_lattices A B C) (tptp.k3_lattices _let_1 E F)) (= (tptp.k4_lattices A B C) (tptp.k4_lattices _let_1 E F))))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_filter_0 D A) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.u1_struct_0 (tptp.k8_filter_0 A D))) (forall ((F $$unsorted)) (let ((_let_1 (tptp.k8_filter_0 A D))) (=> (tptp.m1_subset_1 F (tptp.u1_struct_0 _let_1)) (=> (and (= B E) (= C F)) (= (tptp.r3_lattices A B C) (tptp.r3_lattices _let_1 E F)))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_filter_0 B A) (=> (tptp.v14_lattices A) (tptp.v14_lattices (tptp.k8_filter_0 A B))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_filter_0 B A) (=> (tptp.v12_lattices A) (tptp.v12_lattices (tptp.k8_filter_0 A B))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_filter_0 B A) (=> (tptp.v11_lattices A) (tptp.v11_lattices (tptp.k8_filter_0 A B))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_filter_0 B A) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v3_filter_0 A) (tptp.l3_lattices A)) (tptp.v3_filter_0 (tptp.k8_filter_0 A B))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (tptp.v13_lattices (tptp.k8_filter_0 A (tptp.k2_filter_0 A B))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (= (tptp.k5_lattices (tptp.k8_filter_0 A (tptp.k2_filter_0 A B))) B))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (=> (tptp.v14_lattices A) (= (tptp.k6_lattices (tptp.k8_filter_0 A (tptp.k2_filter_0 A B))) (tptp.k6_lattices A))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v14_lattices A) (tptp.l3_lattices A)) (tptp.v15_lattices (tptp.k8_filter_0 A (tptp.k2_filter_0 A B)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k8_filter_0 A (tptp.k2_filter_0 A B)))) (let ((_let_2 (tptp.l3_lattices A))) (let ((_let_3 (tptp.v10_lattices A))) (let ((_let_4 (not (tptp.v3_struct_0 A)))) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (=> (and _let_4 _let_3 (tptp.v15_lattices A) (tptp.v16_lattices A) _let_2 _let_4 _let_3 (tptp.v12_lattices A) _let_2) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v10_lattices _let_1) (tptp.v15_lattices _let_1) (tptp.v16_lattices _let_1) (tptp.l3_lattices _let_1))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k8_filter_0 A (tptp.k2_filter_0 A B)))) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v17_lattices A) (tptp.l3_lattices A)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v10_lattices _let_1) (tptp.v17_lattices _let_1) (tptp.l3_lattices _let_1)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (tptp.k9_filter_0 A B C) (tptp.k4_lattices A (tptp.k4_filter_0 A B C) (tptp.k4_filter_0 A C B))))))))) true (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (tptp.k9_filter_0 A B C) (tptp.k9_filter_0 A C B)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v3_filter_0 A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (forall ((E $$unsorted)) (=> (tptp.m1_filter_0 E A) (=> (and (tptp.r2_hidden (tptp.k9_filter_0 A B C) E) (tptp.r2_hidden (tptp.k9_filter_0 A C D) E)) (tptp.r2_hidden (tptp.k9_filter_0 A B D) E)))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_filter_0 B A) (forall ((C $$unsorted)) (=> (tptp.v1_relat_1 C) (= (= C (tptp.k10_filter_0 A B)) (and (tptp.r1_tarski (tptp.k3_relat_1 C) (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (forall ((E $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 E _let_1) (= (tptp.r2_hidden (tptp.k1_domain_1 _let_1 _let_1 D E) C) (tptp.r2_hidden (tptp.k9_filter_0 A D E) B))))))))))))))) true (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_filter_0 B A) (tptp.m2_relset_1 (tptp.k10_filter_0 A B) _let_1 _let_1)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_filter_0 B A) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v3_filter_0 A) (tptp.l3_lattices A)) (tptp.r1_relat_2 (tptp.k10_filter_0 A B) (tptp.u1_struct_0 A))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_filter_0 B A) (tptp.r3_relat_2 (tptp.k10_filter_0 A B) (tptp.u1_struct_0 A)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_filter_0 B A) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v3_filter_0 A) (tptp.l3_lattices A)) (tptp.r8_relat_2 (tptp.k10_filter_0 A B) (tptp.u1_struct_0 A))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.k10_filter_0 A B))) (=> (tptp.m1_filter_0 B A) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v3_filter_0 A) (tptp.l3_lattices A)) (and (tptp.v3_relat_2 _let_2) (tptp.v8_relat_2 _let_2) (tptp.v1_partfun1 _let_2 _let_1 _let_1) (tptp.m2_relset_1 _let_2 _let_1 _let_1))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_filter_0 B A) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v3_filter_0 A) (tptp.l3_lattices A)) (= (tptp.k3_relat_1 (tptp.k10_filter_0 A B)) (tptp.u1_struct_0 A))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_filter_0 B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (= (tptp.r1_filter_0 A B C D) (tptp.r2_hidden (tptp.k9_filter_0 A C D) B)))))))))) true (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_filter_0 D A) (= (tptp.r1_filter_0 A D B C) (tptp.r2_hidden (tptp.k1_domain_1 _let_1 _let_1 B C) (tptp.k10_filter_0 A D)))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v17_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_filter_0 B A) (forall ((C $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.v10_lattices C) (tptp.v3_filter_0 C) (tptp.l3_lattices C)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 C)) (forall ((E $$unsorted)) (=> (tptp.m1_filter_0 E C) (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F (tptp.u1_struct_0 A)) (and (tptp.r1_filter_0 C E D D) (tptp.r1_filter_0 A B F F)))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_filter_0 D A) (=> (tptp.r1_filter_0 A D B C) (tptp.r1_filter_0 A D C B)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v17_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_filter_0 B A) (forall ((C $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.v10_lattices C) (tptp.v3_filter_0 C) (tptp.l3_lattices C)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 C)) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.u1_struct_0 C)) (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F (tptp.u1_struct_0 C)) (forall ((G $$unsorted)) (=> (tptp.m1_filter_0 G C) (forall ((H $$unsorted)) (=> (tptp.m1_subset_1 H (tptp.u1_struct_0 A)) (forall ((I $$unsorted)) (=> (tptp.m1_subset_1 I (tptp.u1_struct_0 A)) (forall ((J $$unsorted)) (=> (tptp.m1_subset_1 J (tptp.u1_struct_0 A)) (and (=> (and (tptp.r1_filter_0 C G D E) (tptp.r1_filter_0 C G E F)) (tptp.r1_filter_0 C G D F)) (=> (and (tptp.r1_filter_0 A B H I) (tptp.r1_filter_0 A B I J)) (tptp.r1_filter_0 A B H J))))))))))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_filter_0 B A) (and (not (tptp.v1_xboole_0 B)) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (exists ((B $$unsorted)) (tptp.m1_filter_0 B A)))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (tptp.m1_filter_0 (tptp.k1_filter_0 A) A))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A) (tptp.m1_subset_1 B (tptp.u1_struct_0 A))) (tptp.m1_filter_0 (tptp.k2_filter_0 A B) A))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A) (not (tptp.v1_xboole_0 B)) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (tptp.m1_filter_0 (tptp.k3_filter_0 A B) A))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A) (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (tptp.m1_subset_1 (tptp.k4_filter_0 A B C) _let_1)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A) (not (tptp.v1_xboole_0 B)) (tptp.m1_subset_1 B _let_1) (not (tptp.v1_xboole_0 C)) (tptp.m1_subset_1 C _let_1)) (tptp.m1_subset_1 (tptp.k5_filter_0 A B C) _let_1)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v11_lattices A) (tptp.l3_lattices A) (tptp.m1_filter_0 B A) (tptp.m1_filter_0 C A)) (tptp.m1_filter_0 (tptp.k6_filter_0 A B C) A))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v11_lattices A) (tptp.l3_lattices A) (tptp.m1_filter_0 B A) (tptp.m1_filter_0 C A)) (= (tptp.k6_filter_0 A B C) (tptp.k5_filter_0 A B C)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v17_lattices A) (tptp.l3_lattices A) (tptp.m1_filter_0 B A) (tptp.m1_filter_0 C A)) (tptp.m1_filter_0 (tptp.k7_filter_0 A B C) A))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v17_lattices A) (tptp.l3_lattices A) (tptp.m1_filter_0 B A) (tptp.m1_filter_0 C A)) (= (tptp.k7_filter_0 A B C) (tptp.k5_filter_0 A B C)))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k8_filter_0 A B))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A) (tptp.m1_filter_0 B A)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v10_lattices _let_1) (tptp.l3_lattices _let_1))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A) (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (tptp.m1_subset_1 (tptp.k9_filter_0 A B C) _let_1)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A) (tptp.m1_filter_0 B A)) (tptp.v1_relat_1 (tptp.k10_filter_0 A B)))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.k11_filter_0 A B))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v3_filter_0 A) (tptp.l3_lattices A) (tptp.m1_filter_0 B A)) (and (tptp.v3_relat_2 _let_2) (tptp.v8_relat_2 _let_2) (tptp.v1_partfun1 _let_2 _let_1 _let_1) (tptp.m2_relset_1 _let_2 _let_1 _let_1)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v3_filter_0 A) (tptp.l3_lattices A) (tptp.m1_filter_0 B A)) (= (tptp.k11_filter_0 A B) (tptp.k10_filter_0 A B)))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.k12_filter_0 A B))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v17_lattices A) (tptp.l3_lattices A) (tptp.m1_filter_0 B A)) (and (tptp.v3_relat_2 _let_2) (tptp.v8_relat_2 _let_2) (tptp.v1_partfun1 _let_2 _let_1 _let_1) (tptp.m2_relset_1 _let_2 _let_1 _let_1)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v17_lattices A) (tptp.l3_lattices A) (tptp.m1_filter_0 B A)) (= (tptp.k12_filter_0 A B) (tptp.k10_filter_0 A B)))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (= (tptp.k2_filter_0 A B) (tptp.a_2_0_filter_0 A B)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (forall ((C $$unsorted)) (=> (and (not (tptp.v1_xboole_0 C)) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (= (tptp.k5_filter_0 A B C) (tptp.a_3_0_filter_0 A B C)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_filter_0 B A) (forall ((C $$unsorted)) (=> (tptp.m1_filter_0 C A) (= (tptp.k3_filter_0 A (tptp.k4_subset_1 (tptp.u1_struct_0 A) B C)) (tptp.a_3_1_filter_0 A B C)))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v10_lattices B) (tptp.l3_lattices B) (tptp.m1_subset_1 C (tptp.u1_struct_0 B))) (= (tptp.r2_hidden A (tptp.a_2_0_filter_0 B C)) (exists ((D $$unsorted)) (and (tptp.m1_subset_1 D (tptp.u1_struct_0 B)) (= A D) (tptp.r3_lattices B C D)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B)))) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v10_lattices B) (tptp.l3_lattices B) (not (tptp.v1_xboole_0 C)) (tptp.m1_subset_1 C _let_1) (not (tptp.v1_xboole_0 D)) (tptp.m1_subset_1 D _let_1)) (= (tptp.r2_hidden A (tptp.a_3_0_filter_0 B C D)) (exists ((E $$unsorted) (F $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (and (tptp.m1_subset_1 E _let_1) (tptp.m1_subset_1 F _let_1) (= A (tptp.k4_lattices B E F)) (tptp.r2_hidden E C) (tptp.r2_hidden F D)))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v10_lattices B) (tptp.l3_lattices B) (tptp.m1_filter_0 C B) (tptp.m1_filter_0 D B)) (= (tptp.r2_hidden A (tptp.a_3_1_filter_0 B C D)) (exists ((E $$unsorted)) (and (tptp.m1_subset_1 E (tptp.u1_struct_0 B)) (= A E) (exists ((F $$unsorted)) (and (tptp.m1_subset_1 F (tptp.u1_struct_0 B)) (exists ((G $$unsorted)) (and (tptp.m1_subset_1 G (tptp.u1_struct_0 B)) (tptp.r3_lattices B (tptp.k4_lattices B F G) E) (tptp.r2_hidden F C) (tptp.r2_hidden G D)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_group_2 B A) (tptp.v4_group_1 B))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (exists ((B $$unsorted)) (and (tptp.m1_group_2 B A) (not (tptp.v3_struct_0 B)) (tptp.v1_group_1 B) (tptp.v2_group_1 B) (tptp.v3_group_1 B) (tptp.v4_group_1 B))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.v7_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_group_2 B A) (and (tptp.v4_group_1 B) (tptp.v7_group_1 B)))))) true true (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_struct_0 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (tptp.v6_group_1 A) (tptp.v1_finset_1 B)))))) true (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_group_1 B) (tptp.v4_group_1 B) (tptp.l1_group_1 B)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B))) (= (tptp.r2_hidden A (tptp.k1_group_2 B C)) (exists ((D $$unsorted)) (and (tptp.m1_subset_1 D (tptp.u1_struct_0 B)) (= A (tptp.k3_group_1 B D)) (tptp.r2_hidden D C)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 B _let_1) (= (tptp.k1_group_2 A (tptp.k6_domain_1 _let_1 B)) (tptp.k6_domain_1 _let_1 (tptp.k3_group_1 A B)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 C _let_1) (= (tptp.k1_group_2 A (tptp.k7_domain_1 _let_1 B C)) (tptp.k7_domain_1 _let_1 (tptp.k3_group_1 A B) (tptp.k3_group_1 A C)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (= (tptp.k1_group_2 A (tptp.k1_subset_1 (tptp.u1_struct_0 A))) tptp.k1_xboole_0))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (= (tptp.k1_group_2 A (tptp.k2_subset_1 _let_1)) _let_1)))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (= B tptp.k1_xboole_0))) (let ((_let_2 (= (tptp.k1_group_2 A B) tptp.k1_xboole_0))) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (and (not (and (not _let_1) _let_2)) (not (and (not _let_2) _let_1))))))))) true (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.l1_group_1 B)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B))) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B))) (= (tptp.r2_hidden A (tptp.k2_group_2 B C D)) (exists ((E $$unsorted)) (and (tptp.m1_subset_1 E (tptp.u1_struct_0 B)) (exists ((F $$unsorted)) (and (tptp.m1_subset_1 F (tptp.u1_struct_0 B)) (= A (tptp.k1_group_1 B E F)) (tptp.r2_hidden E C) (tptp.r2_hidden F D)))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (and (not (= B tptp.k1_xboole_0)) (not (= C tptp.k1_xboole_0))) (not (= (tptp.k2_group_2 A B C) tptp.k1_xboole_0))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (tptp.v4_group_1 A) (= (tptp.k2_group_2 A (tptp.k2_group_2 A B C) D) (tptp.k2_group_2 A B (tptp.k2_group_2 A C D)))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (tptp.k1_group_2 A (tptp.k2_group_2 A B C)) (tptp.k2_group_2 A (tptp.k1_group_2 A C) (tptp.k1_group_2 A B))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (=> (tptp.m1_subset_1 D _let_1) (= (tptp.k2_group_2 A B (tptp.k1_finsub_1 _let_1 C D)) (tptp.k1_finsub_1 _let_1 (tptp.k2_group_2 A B C) (tptp.k2_group_2 A B D)))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (=> (tptp.m1_subset_1 D _let_1) (= (tptp.k2_group_2 A (tptp.k1_finsub_1 _let_1 B C) D) (tptp.k1_finsub_1 _let_1 (tptp.k2_group_2 A B D) (tptp.k2_group_2 A C D)))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (=> (tptp.m1_subset_1 D _let_1) (tptp.r1_tarski (tptp.k2_group_2 A B (tptp.k3_finsub_1 _let_1 C D)) (tptp.k3_finsub_1 _let_1 (tptp.k2_group_2 A B C) (tptp.k2_group_2 A B D)))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (=> (tptp.m1_subset_1 D _let_1) (tptp.r1_tarski (tptp.k2_group_2 A (tptp.k3_finsub_1 _let_1 B C) D) (tptp.k3_finsub_1 _let_1 (tptp.k2_group_2 A B D) (tptp.k2_group_2 A C D)))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.k1_subset_1 _let_1))) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 _let_1)) (and (= (tptp.k2_group_2 A _let_2 B) tptp.k1_xboole_0) (= (tptp.k2_group_2 A B _let_2) tptp.k1_xboole_0)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.k2_subset_1 _let_1))) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 _let_1)) (=> (not (= B tptp.k1_xboole_0)) (and (= (tptp.k2_group_2 A _let_2 B) _let_1) (= (tptp.k2_group_2 A B _let_2) _let_1))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 C _let_1) (= (tptp.k2_group_2 A (tptp.k6_domain_1 _let_1 B) (tptp.k6_domain_1 _let_1 C)) (tptp.k6_domain_1 _let_1 (tptp.k1_group_1 A B C)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 D _let_1) (= (tptp.k2_group_2 A (tptp.k6_domain_1 _let_1 B) (tptp.k7_domain_1 _let_1 C D)) (tptp.k7_domain_1 _let_1 (tptp.k1_group_1 A B C) (tptp.k1_group_1 A B D)))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 D _let_1) (= (tptp.k2_group_2 A (tptp.k7_domain_1 _let_1 B C) (tptp.k6_domain_1 _let_1 D)) (tptp.k7_domain_1 _let_1 (tptp.k1_group_1 A B D) (tptp.k1_group_1 A C D)))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (forall ((E $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 E _let_1) (= (tptp.k2_group_2 A (tptp.k7_domain_1 _let_1 B C) (tptp.k7_domain_1 _let_1 D E)) (tptp.k9_domain_1 _let_1 (tptp.k1_group_1 A B D) (tptp.k1_group_1 A B E) (tptp.k1_group_1 A C D) (tptp.k1_group_1 A C E)))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (and (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (=> (and (tptp.r2_hidden C B) (tptp.r2_hidden D B)) (tptp.r2_hidden (tptp.k1_group_1 A C D) B)))))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (=> (tptp.r2_hidden C B) (tptp.r2_hidden (tptp.k3_group_1 A C) B))))) (= (tptp.k2_group_2 A B B) B)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (=> (tptp.r2_hidden C B) (tptp.r2_hidden (tptp.k3_group_1 A C) B)))) (= (tptp.k1_group_2 A B) B)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.u1_struct_0 A)) (=> (and (tptp.r2_hidden D B) (tptp.r2_hidden E C)) (= (tptp.k1_group_1 A D E) (tptp.k1_group_1 A E D))))))) (= (tptp.k2_group_2 A B C) (tptp.k2_group_2 A C B))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.v7_group_1 A) (tptp.l1_group_1 A)) (= (tptp.k2_group_2 A B C) (tptp.k2_group_2 A C B))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.v7_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (tptp.k1_group_2 A (tptp.k2_group_2 A B C)) (tptp.k2_group_2 A (tptp.k1_group_2 A B) (tptp.k1_group_2 A C))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 _let_1)) (= (tptp.k3_group_2 A B C) (tptp.k2_group_2 A (tptp.k6_domain_1 _let_1 B) C))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 _let_1)) (= (tptp.k4_group_2 A B C) (tptp.k2_group_2 A C (tptp.k6_domain_1 _let_1 B)))))))))) true true (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.l1_group_1 B)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B))) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 B)) (= (tptp.r2_hidden A (tptp.k3_group_2 B D C)) (exists ((E $$unsorted)) (and (tptp.m1_subset_1 E (tptp.u1_struct_0 B)) (= A (tptp.k1_group_1 B D E)) (tptp.r2_hidden E C)))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.l1_group_1 B)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B))) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 B)) (= (tptp.r2_hidden A (tptp.k4_group_2 B D C)) (exists ((E $$unsorted)) (and (tptp.m1_subset_1 E (tptp.u1_struct_0 B)) (= A (tptp.k1_group_1 B E D)) (tptp.r2_hidden E C)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (=> (tptp.v4_group_1 A) (= (tptp.k2_group_2 A (tptp.k3_group_2 A D B) C) (tptp.k3_group_2 A D (tptp.k2_group_2 A B C)))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (=> (tptp.v4_group_1 A) (= (tptp.k2_group_2 A (tptp.k4_group_2 A D B) C) (tptp.k2_group_2 A B (tptp.k3_group_2 A D C)))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (=> (tptp.v4_group_1 A) (= (tptp.k4_group_2 A D (tptp.k2_group_2 A B C)) (tptp.k2_group_2 A B (tptp.k4_group_2 A D C)))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (=> (tptp.v4_group_1 A) (= (tptp.k3_group_2 A (tptp.k1_group_1 A C D) B) (tptp.k3_group_2 A C (tptp.k3_group_2 A D B)))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (=> (tptp.v4_group_1 A) (= (tptp.k4_group_2 A D (tptp.k3_group_2 A C B)) (tptp.k3_group_2 A C (tptp.k4_group_2 A D B)))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (=> (tptp.v4_group_1 A) (= (tptp.k4_group_2 A D (tptp.k4_group_2 A C B)) (tptp.k4_group_2 A (tptp.k1_group_1 A C D) B))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.k1_subset_1 _let_1))) (=> (tptp.m1_subset_1 B _let_1) (and (= (tptp.k4_group_2 A B _let_2) tptp.k1_xboole_0) (= (tptp.k3_group_2 A B _let_2) tptp.k1_xboole_0)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.k2_subset_1 _let_1))) (=> (tptp.m1_subset_1 B _let_1) (and (= (tptp.k4_group_2 A B _let_2) _let_1) (= (tptp.k3_group_2 A B _let_2) _let_1)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k2_group_1 A))) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (and (= (tptp.k3_group_2 A _let_1 B) B) (= (tptp.k4_group_2 A _let_1 B) B))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.v7_group_1 A) (tptp.l1_group_1 A)) (= (tptp.k3_group_2 A B C) (tptp.k4_group_2 A B C))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_group_1 B) (tptp.l1_group_1 B)) (= (tptp.m1_group_2 B A) (and (tptp.r1_tarski _let_1 (tptp.u1_struct_0 A)) (= (tptp.u1_group_1 B) (tptp.k1_realset1 (tptp.u1_group_1 A) _let_1))))))))) true true true (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_group_2 B A) (=> (tptp.v6_group_1 A) (tptp.v6_group_1 B)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_group_1 B) (tptp.l1_group_1 B)) (forall ((C $$unsorted)) (=> (tptp.m1_group_2 C B) (=> (tptp.r1_rlvect_1 C A) (tptp.r1_rlvect_1 B A)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_group_2 B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 B)) (tptp.r1_rlvect_1 A C))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_group_2 B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 B)) (tptp.m1_subset_1 C (tptp.u1_struct_0 A)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_group_2 D A) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.u1_struct_0 D)) (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F (tptp.u1_struct_0 D)) (=> (and (= E B) (= F C)) (= (tptp.k1_group_1 D E F) (tptp.k1_group_1 A B C))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_group_2 B A) (= (tptp.k2_group_1 B) (tptp.k2_group_1 A)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_group_2 B A) (forall ((C $$unsorted)) (=> (tptp.m1_group_2 C A) (= (tptp.k2_group_1 B) (tptp.k2_group_1 C)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_group_2 B A) (tptp.r1_rlvect_1 B (tptp.k2_group_1 A)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_group_2 B A) (forall ((C $$unsorted)) (=> (tptp.m1_group_2 C A) (tptp.r1_rlvect_1 C (tptp.k2_group_1 B)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_group_2 C A) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 C)) (=> (= D B) (= (tptp.k3_group_1 C D) (tptp.k3_group_1 A B))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_group_2 B A) (= (tptp.k4_group_1 B) (tptp.k8_relset_1 _let_1 _let_1 (tptp.k4_group_1 A) (tptp.u1_struct_0 B)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_group_2 D A) (=> (and (tptp.r1_rlvect_1 D B) (tptp.r1_rlvect_1 D C)) (tptp.r1_rlvect_1 D (tptp.k1_group_1 A B C))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_group_2 C A) (=> (tptp.r1_rlvect_1 C B) (tptp.r1_rlvect_1 C (tptp.k3_group_1 A B))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (not (and (not (= B tptp.k1_xboole_0)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (=> (and (tptp.r2_hidden C B) (tptp.r2_hidden D B)) (tptp.r2_hidden (tptp.k1_group_1 A C D) B)))))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (=> (tptp.r2_hidden C B) (tptp.r2_hidden (tptp.k3_group_1 A C) B)))) (forall ((C $$unsorted)) (=> (and (tptp.v1_group_1 C) (tptp.m1_group_2 C A)) (not (= (tptp.u1_struct_0 C) B)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_group_2 B A) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.v7_group_1 A) (tptp.l1_group_1 A)) (tptp.v7_group_1 B)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (tptp.m1_group_2 A A))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_group_1 B) (tptp.v4_group_1 B) (tptp.l1_group_1 B)) (=> (and (tptp.m1_group_2 A B) (tptp.m1_group_2 B A)) (= (tptp.g1_group_1 (tptp.u1_struct_0 A) (tptp.u1_group_1 A)) (tptp.g1_group_1 (tptp.u1_struct_0 B) (tptp.u1_group_1 B)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_group_1 B) (tptp.v4_group_1 B) (tptp.l1_group_1 B)) (forall ((C $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.v3_group_1 C) (tptp.v4_group_1 C) (tptp.l1_group_1 C)) (=> (and (tptp.m1_group_2 A B) (tptp.m1_group_2 B C)) (tptp.m1_group_2 A C)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_group_2 B A) (forall ((C $$unsorted)) (=> (tptp.m1_group_2 C A) (=> (tptp.r1_tarski (tptp.u1_struct_0 B) (tptp.u1_struct_0 C)) (tptp.m1_group_2 B C)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_group_2 B A) (forall ((C $$unsorted)) (=> (tptp.m1_group_2 C A) (=> (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (=> (tptp.r1_rlvect_1 B D) (tptp.r1_rlvect_1 C D)))) (tptp.m1_group_2 B C)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_group_2 B A) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 C))) (let ((_let_2 (tptp.u1_struct_0 B))) (=> (tptp.m1_group_2 C A) (=> (= _let_2 _let_1) (= (tptp.g1_group_1 _let_2 (tptp.u1_group_1 B)) (tptp.g1_group_1 _let_1 (tptp.u1_group_1 C)))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_group_2 B A) (forall ((C $$unsorted)) (=> (tptp.m1_group_2 C A) (=> (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (= (tptp.r1_rlvect_1 B D) (tptp.r1_rlvect_1 C D)))) (= (tptp.g1_group_1 (tptp.u1_struct_0 B) (tptp.u1_group_1 B)) (tptp.g1_group_1 (tptp.u1_struct_0 C) (tptp.u1_group_1 C)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_group_1 B) (tptp.m1_group_2 B A)) (forall ((C $$unsorted)) (=> (and (tptp.v1_group_1 C) (tptp.m1_group_2 C A)) (= (tptp.r1_group_2 A B C) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (= (tptp.r1_rlvect_1 B D) (tptp.r1_rlvect_1 C D))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v1_group_1 A) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_group_1 B) (tptp.m1_group_2 B A)) (=> (= (tptp.u1_struct_0 B) (tptp.u1_struct_0 A)) (= B A)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_group_2 B A) (=> (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (tptp.r1_rlvect_1 B C))) (= (tptp.g1_group_1 (tptp.u1_struct_0 B) (tptp.u1_group_1 B)) (tptp.g1_group_1 (tptp.u1_struct_0 A) (tptp.u1_group_1 A)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_group_1 B) (tptp.m1_group_2 B A)) (= (= B (tptp.k5_group_2 A)) (= (tptp.u1_struct_0 B) (tptp.k6_domain_1 (tptp.u1_struct_0 A) (tptp.k2_group_1 A)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (= (tptp.k6_group_2 A) (tptp.g1_group_1 (tptp.u1_struct_0 A) (tptp.u1_group_1 A))))) true true true (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_group_2 B A) (= (tptp.k5_group_2 B) (tptp.k5_group_2 A)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_group_2 B A) (forall ((C $$unsorted)) (=> (tptp.m1_group_2 C A) (= (tptp.k5_group_2 B) (tptp.k5_group_2 C)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_group_2 B A) (tptp.m1_group_2 (tptp.k5_group_2 A) B))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v1_group_1 A) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_group_2 B A) (tptp.m1_group_2 B (tptp.k6_group_2 A)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v1_group_1 A) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (tptp.m1_group_2 A (tptp.k6_group_2 A)))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (tptp.v6_group_1 (tptp.k5_group_2 A)))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (= (tptp.k9_group_1 (tptp.k5_group_2 A)) tptp.np__1))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_group_1 B) (tptp.m1_group_2 B A)) (=> (and (tptp.v6_group_1 B) (= (tptp.k9_group_1 B) tptp.np__1)) (tptp.r1_group_2 A B (tptp.k5_group_2 A))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_group_2 B A) (tptp.r1_tarski (tptp.k8_group_1 B) (tptp.k8_group_1 A)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_group_2 B A) (=> (tptp.v6_group_1 A) (tptp.r1_xreal_0 (tptp.k9_group_1 B) (tptp.k9_group_1 A))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v1_group_1 A) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_group_1 B) (tptp.m1_group_2 B A)) (=> (and (tptp.v6_group_1 A) (= (tptp.k9_group_1 A) (tptp.k9_group_1 B))) (= B A)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_group_2 B A) (= (tptp.k7_group_2 A B) (tptp.u1_struct_0 B)))))) true (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_group_2 B A) (not (= (tptp.k7_group_2 A B) tptp.k1_xboole_0)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_group_1 B) (tptp.v4_group_1 B) (tptp.l1_group_1 B)) (forall ((C $$unsorted)) (=> (tptp.m1_group_2 C B) (= (tptp.r2_hidden A (tptp.k7_group_2 B C)) (tptp.r1_rlvect_1 C A)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k7_group_2 A D))) (=> (tptp.m1_group_2 D A) (=> (and (tptp.r2_hidden B _let_1) (tptp.r2_hidden C _let_1)) (tptp.r2_hidden (tptp.k1_group_1 A B C) _let_1))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k7_group_2 A C))) (=> (tptp.m1_group_2 C A) (=> (tptp.r2_hidden B _let_1) (tptp.r2_hidden (tptp.k3_group_1 A B) _let_1))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k7_group_2 A B))) (=> (tptp.m1_group_2 B A) (= (tptp.k2_group_2 A _let_1 _let_1) _let_1)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k7_group_2 A B))) (=> (tptp.m1_group_2 B A) (= (tptp.k1_group_2 A _let_1) _let_1)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_group_2 B A) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k7_group_2 A B))) (let ((_let_2 (tptp.k7_group_2 A C))) (let ((_let_3 (= (tptp.k2_group_2 A _let_1 _let_2) (tptp.k2_group_2 A _let_2 _let_1)))) (=> (tptp.m1_group_2 C A) (and (not (and _let_3 (forall ((D $$unsorted)) (=> (and (tptp.v1_group_1 D) (tptp.m1_group_2 D A)) (not (= (tptp.u1_struct_0 D) (tptp.k2_group_2 A (tptp.k7_group_2 A B) (tptp.k7_group_2 A C)))))))) (=> (exists ((D $$unsorted)) (and (tptp.m1_group_2 D A) (= (tptp.u1_struct_0 D) (tptp.k2_group_2 A (tptp.k7_group_2 A B) (tptp.k7_group_2 A C))))) _let_3))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_group_2 B A) (forall ((C $$unsorted)) (=> (tptp.m1_group_2 C A) (not (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.v7_group_1 A) (tptp.l1_group_1 A) (forall ((D $$unsorted)) (=> (and (tptp.v1_group_1 D) (tptp.m1_group_2 D A)) (not (= (tptp.u1_struct_0 D) (tptp.k2_group_2 A (tptp.k7_group_2 A B) (tptp.k7_group_2 A C)))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_group_2 B A) (forall ((C $$unsorted)) (=> (tptp.m1_group_2 C A) (forall ((D $$unsorted)) (=> (and (tptp.v1_group_1 D) (tptp.m1_group_2 D A)) (= (= D (tptp.k8_group_2 A B C)) (= (tptp.u1_struct_0 D) (tptp.k3_finsub_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)) (tptp.k7_group_2 A B) (tptp.k7_group_2 A C)))))))))))) true true (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_group_2 B A) (forall ((C $$unsorted)) (=> (tptp.m1_group_2 C A) (and (forall ((D $$unsorted)) (=> (tptp.m1_group_2 D A) (=> (= D (tptp.k8_group_2 A B C)) (= (tptp.u1_struct_0 D) (tptp.k3_xboole_0 (tptp.u1_struct_0 B) (tptp.u1_struct_0 C)))))) (forall ((D $$unsorted)) (=> (and (tptp.v1_group_1 D) (tptp.m1_group_2 D A)) (=> (= (tptp.u1_struct_0 D) (tptp.k3_xboole_0 (tptp.u1_struct_0 B) (tptp.u1_struct_0 C))) (tptp.r1_group_2 A D (tptp.k8_group_2 A B C)))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_group_2 B A) (forall ((C $$unsorted)) (=> (tptp.m1_group_2 C A) (= (tptp.k7_group_2 A (tptp.k8_group_2 A B C)) (tptp.k3_finsub_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)) (tptp.k7_group_2 A B) (tptp.k7_group_2 A C))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_group_1 B) (tptp.v4_group_1 B) (tptp.l1_group_1 B)) (forall ((C $$unsorted)) (=> (tptp.m1_group_2 C B) (forall ((D $$unsorted)) (=> (tptp.m1_group_2 D B) (= (tptp.r1_rlvect_1 (tptp.k8_group_2 B C D) A) (and (tptp.r1_rlvect_1 C A) (tptp.r1_rlvect_1 D A))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_group_1 B) (tptp.m1_group_2 B A)) (tptp.r1_group_2 A (tptp.k8_group_2 A B B) B))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_group_2 B A) (forall ((C $$unsorted)) (=> (tptp.m1_group_2 C A) (tptp.r1_group_2 A (tptp.k8_group_2 A B C) (tptp.k8_group_2 A C B)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_group_2 B A) (forall ((C $$unsorted)) (=> (tptp.m1_group_2 C A) (forall ((D $$unsorted)) (=> (tptp.m1_group_2 D A) (tptp.r1_group_2 A (tptp.k9_group_2 A (tptp.k9_group_2 A B C) D) (tptp.k9_group_2 A B (tptp.k9_group_2 A C D))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k5_group_2 A))) (=> (tptp.m1_group_2 B A) (and (tptp.r1_group_2 A (tptp.k9_group_2 A _let_1 B) _let_1) (tptp.r1_group_2 A (tptp.k9_group_2 A B _let_1) _let_1))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v1_group_1 A) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k6_group_2 A))) (=> (and (tptp.v1_group_1 B) (tptp.m1_group_2 B A)) (and (tptp.r1_group_2 A (tptp.k9_group_2 A B _let_1) B) (tptp.r1_group_2 A (tptp.k9_group_2 A _let_1 B) B))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k6_group_2 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v1_group_1 A) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (= (tptp.k9_group_2 A _let_1 _let_1) A)))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_group_2 B A) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k9_group_2 A B C))) (=> (tptp.m1_group_2 C A) (and (tptp.m1_group_2 _let_1 B) (tptp.m1_group_2 _let_1 C))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_group_2 B A) (forall ((C $$unsorted)) (=> (and (tptp.v1_group_1 C) (tptp.m1_group_2 C A)) (= (tptp.m1_group_2 C B) (tptp.r1_group_2 A (tptp.k9_group_2 A C B) C)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_group_2 B A) (forall ((C $$unsorted)) (=> (tptp.m1_group_2 C A) (forall ((D $$unsorted)) (=> (tptp.m1_group_2 D A) (=> (tptp.m1_group_2 B C) (tptp.m1_group_2 (tptp.k9_group_2 A B D) C)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_group_2 B A) (forall ((C $$unsorted)) (=> (tptp.m1_group_2 C A) (forall ((D $$unsorted)) (=> (tptp.m1_group_2 D A) (=> (and (tptp.m1_group_2 B C) (tptp.m1_group_2 B D)) (tptp.m1_group_2 B (tptp.k9_group_2 A C D))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_group_2 B A) (forall ((C $$unsorted)) (=> (tptp.m1_group_2 C A) (forall ((D $$unsorted)) (=> (tptp.m1_group_2 D A) (=> (tptp.m1_group_2 B C) (tptp.m1_group_2 (tptp.k9_group_2 A B D) (tptp.k9_group_2 A C D))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_group_2 B A) (forall ((C $$unsorted)) (=> (tptp.m1_group_2 C A) (=> (or (tptp.v6_group_1 B) (tptp.v6_group_1 C)) (tptp.v6_group_1 (tptp.k9_group_2 A B C))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_group_2 B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (tptp.k10_group_2 A B C) (tptp.k2_group_2 A C (tptp.k7_group_2 A B))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_group_2 B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (tptp.k11_group_2 A B C) (tptp.k2_group_2 A (tptp.k7_group_2 A B) C)))))))) true true (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_group_1 B) (tptp.v4_group_1 B) (tptp.l1_group_1 B)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B))) (forall ((D $$unsorted)) (=> (tptp.m1_group_2 D B) (= (tptp.r2_hidden A (tptp.k10_group_2 B D C)) (exists ((E $$unsorted)) (and (tptp.m1_subset_1 E (tptp.u1_struct_0 B)) (exists ((F $$unsorted)) (and (tptp.m1_subset_1 F (tptp.u1_struct_0 B)) (= A (tptp.k1_group_1 B E F)) (tptp.r2_hidden E C) (tptp.r1_rlvect_1 D F)))))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_group_1 B) (tptp.v4_group_1 B) (tptp.l1_group_1 B)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B))) (forall ((D $$unsorted)) (=> (tptp.m1_group_2 D B) (= (tptp.r2_hidden A (tptp.k11_group_2 B D C)) (exists ((E $$unsorted)) (and (tptp.m1_subset_1 E (tptp.u1_struct_0 B)) (exists ((F $$unsorted)) (and (tptp.m1_subset_1 F (tptp.u1_struct_0 B)) (= A (tptp.k1_group_1 B E F)) (tptp.r1_rlvect_1 D E) (tptp.r2_hidden F C)))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((D $$unsorted)) (=> (tptp.m1_group_2 D A) (= (tptp.k10_group_2 A D (tptp.k2_group_2 A B C)) (tptp.k2_group_2 A B (tptp.k10_group_2 A D C))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((D $$unsorted)) (=> (tptp.m1_group_2 D A) (= (tptp.k2_group_2 A (tptp.k10_group_2 A D B) C) (tptp.k2_group_2 A B (tptp.k11_group_2 A D C))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((D $$unsorted)) (=> (tptp.m1_group_2 D A) (= (tptp.k2_group_2 A (tptp.k11_group_2 A D B) C) (tptp.k11_group_2 A D (tptp.k2_group_2 A B C))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (=> (tptp.m1_group_2 C A) (forall ((D $$unsorted)) (=> (tptp.m1_group_2 D A) (= (tptp.k10_group_2 A D (tptp.k10_group_2 A C B)) (tptp.k2_group_2 A B (tptp.k11_group_2 A C (tptp.k7_group_2 A D)))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (=> (tptp.m1_group_2 C A) (forall ((D $$unsorted)) (=> (tptp.m1_group_2 D A) (= (tptp.k10_group_2 A D (tptp.k11_group_2 A C B)) (tptp.k11_group_2 A C (tptp.k10_group_2 A D B))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (=> (tptp.m1_group_2 C A) (forall ((D $$unsorted)) (=> (tptp.m1_group_2 D A) (= (tptp.k2_group_2 A (tptp.k11_group_2 A C (tptp.k7_group_2 A D)) B) (tptp.k11_group_2 A C (tptp.k11_group_2 A D B))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (=> (tptp.m1_group_2 C A) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.v7_group_1 A) (tptp.l1_group_1 A)) (= (tptp.k10_group_2 A C B) (tptp.k11_group_2 A C B))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_group_2 B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (tptp.k12_group_2 A B C) (tptp.k3_group_2 A C (tptp.k7_group_2 A B))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_group_2 B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (tptp.k13_group_2 A B C) (tptp.k4_group_2 A C (tptp.k7_group_2 A B))))))))) true true (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_group_1 B) (tptp.v4_group_1 B) (tptp.l1_group_1 B)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 B)) (forall ((D $$unsorted)) (=> (tptp.m1_group_2 D B) (= (tptp.r2_hidden A (tptp.k12_group_2 B D C)) (exists ((E $$unsorted)) (and (tptp.m1_subset_1 E (tptp.u1_struct_0 B)) (= A (tptp.k1_group_1 B C E)) (tptp.r1_rlvect_1 D E)))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_group_1 B) (tptp.v4_group_1 B) (tptp.l1_group_1 B)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 B)) (forall ((D $$unsorted)) (=> (tptp.m1_group_2 D B) (= (tptp.r2_hidden A (tptp.k13_group_2 B D C)) (exists ((E $$unsorted)) (and (tptp.m1_subset_1 E (tptp.u1_struct_0 B)) (= A (tptp.k1_group_1 B E C)) (tptp.r1_rlvect_1 D E)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_group_2 D A) (= (tptp.k12_group_2 A D (tptp.k1_group_1 A B C)) (tptp.k3_group_2 A B (tptp.k12_group_2 A D C))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_group_2 D A) (= (tptp.k4_group_2 A C (tptp.k12_group_2 A D B)) (tptp.k3_group_2 A B (tptp.k13_group_2 A D C))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_group_2 D A) (= (tptp.k4_group_2 A C (tptp.k13_group_2 A D B)) (tptp.k13_group_2 A D (tptp.k1_group_1 A B C))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_group_2 C A) (and (tptp.r2_hidden B (tptp.k12_group_2 A C B)) (tptp.r2_hidden B (tptp.k13_group_2 A C B))))))))) true (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k7_group_2 A B))) (let ((_let_2 (tptp.k2_group_1 A))) (=> (tptp.m1_group_2 B A) (and (= (tptp.k12_group_2 A B _let_2) _let_1) (= (tptp.k13_group_2 A B _let_2) _let_1)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.k6_domain_1 _let_1 B))) (let ((_let_3 (tptp.k5_group_2 A))) (=> (tptp.m1_subset_1 B _let_1) (and (= (tptp.k13_group_2 A _let_3 B) _let_2) (= (tptp.k12_group_2 A _let_3 B) _let_2))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.k6_group_2 A))) (=> (tptp.m1_subset_1 B _let_1) (and (= (tptp.k12_group_2 A _let_2 B) _let_1) (= (tptp.k13_group_2 A _let_2 B) _let_1)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_group_2 C A) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.v7_group_1 A) (tptp.l1_group_1 A)) (= (tptp.k12_group_2 A C B) (tptp.k13_group_2 A C B))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_group_2 C A) (= (tptp.r1_rlvect_1 C B) (= (tptp.k12_group_2 A C B) (tptp.k7_group_2 A C))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_group_2 D A) (= (= (tptp.k12_group_2 A D B) (tptp.k12_group_2 A D C)) (tptp.r1_rlvect_1 D (tptp.k1_group_1 A (tptp.k3_group_1 A C) B))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k12_group_2 A D C))) (let ((_let_2 (tptp.k12_group_2 A D B))) (=> (tptp.m1_group_2 D A) (= (= _let_2 _let_1) (not (tptp.r1_xboole_0 _let_2 _let_1))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_group_2 D A) (tptp.r1_tarski (tptp.k12_group_2 A D (tptp.k1_group_1 A B C)) (tptp.k2_group_2 A (tptp.k12_group_2 A D B) (tptp.k12_group_2 A D C))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k12_group_2 A C B))) (let ((_let_2 (tptp.k12_group_2 A C (tptp.k3_group_1 A B)))) (let ((_let_3 (tptp.k7_group_2 A C))) (=> (tptp.m1_group_2 C A) (and (tptp.r1_tarski _let_3 (tptp.k2_group_2 A _let_1 _let_2)) (tptp.r1_tarski _let_3 (tptp.k2_group_2 A _let_2 _let_1)))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k12_group_2 A C B))) (=> (tptp.m1_group_2 C A) (tptp.r1_tarski (tptp.k12_group_2 A C (tptp.k6_group_1 A tptp.np__2 B)) (tptp.k2_group_2 A _let_1 _let_1))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_group_2 C A) (= (tptp.r1_rlvect_1 C B) (= (tptp.k13_group_2 A C B) (tptp.k7_group_2 A C))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_group_2 D A) (= (= (tptp.k13_group_2 A D B) (tptp.k13_group_2 A D C)) (tptp.r1_rlvect_1 D (tptp.k1_group_1 A C (tptp.k3_group_1 A B)))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k13_group_2 A D C))) (let ((_let_2 (tptp.k13_group_2 A D B))) (=> (tptp.m1_group_2 D A) (= (= _let_2 _let_1) (not (tptp.r1_xboole_0 _let_2 _let_1))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k13_group_2 A D B))) (=> (tptp.m1_group_2 D A) (tptp.r1_tarski (tptp.k4_group_2 A C _let_1) (tptp.k2_group_2 A _let_1 (tptp.k13_group_2 A D C)))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k13_group_2 A C B))) (let ((_let_2 (tptp.k13_group_2 A C (tptp.k3_group_1 A B)))) (let ((_let_3 (tptp.k7_group_2 A C))) (=> (tptp.m1_group_2 C A) (and (tptp.r1_tarski _let_3 (tptp.k2_group_2 A _let_1 _let_2)) (tptp.r1_tarski _let_3 (tptp.k2_group_2 A _let_2 _let_1)))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k13_group_2 A C B))) (=> (tptp.m1_group_2 C A) (tptp.r1_tarski (tptp.k13_group_2 A C (tptp.k6_group_1 A tptp.np__2 B)) (tptp.k2_group_2 A _let_1 _let_1))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_group_2 C A) (forall ((D $$unsorted)) (=> (tptp.m1_group_2 D A) (= (tptp.k12_group_2 A (tptp.k9_group_2 A C D) B) (tptp.k3_finsub_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)) (tptp.k12_group_2 A C B) (tptp.k12_group_2 A D B))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_group_2 C A) (forall ((D $$unsorted)) (=> (tptp.m1_group_2 D A) (= (tptp.k13_group_2 A (tptp.k9_group_2 A C D) B) (tptp.k3_finsub_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)) (tptp.k13_group_2 A C B) (tptp.k13_group_2 A D B))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_group_2 C A) (exists ((D $$unsorted)) (and (tptp.v1_group_1 D) (tptp.m1_group_2 D A) (= (tptp.u1_struct_0 D) (tptp.k4_group_2 A (tptp.k3_group_1 A B) (tptp.k12_group_2 A C B))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_group_2 D A) (tptp.r2_wellord2 (tptp.k12_group_2 A D B) (tptp.k12_group_2 A D C)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_group_2 D A) (tptp.r2_wellord2 (tptp.k12_group_2 A D B) (tptp.k13_group_2 A D C)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_group_2 D A) (tptp.r2_wellord2 (tptp.k13_group_2 A D B) (tptp.k13_group_2 A D C)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k7_group_2 A C))) (=> (tptp.m1_group_2 C A) (and (tptp.r2_wellord2 _let_1 (tptp.k12_group_2 A C B)) (tptp.r2_wellord2 _let_1 (tptp.k13_group_2 A C B)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k8_group_1 C))) (=> (tptp.m1_group_2 C A) (and (= _let_1 (tptp.k1_card_1 (tptp.k12_group_2 A C B))) (= _let_1 (tptp.k1_card_1 (tptp.k13_group_2 A C B))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_group_2 C A) (not (and (tptp.v6_group_1 C) (forall ((D $$unsorted)) (=> (tptp.v1_finset_1 D) (forall ((E $$unsorted)) (let ((_let_1 (tptp.k9_group_1 C))) (=> (tptp.v1_finset_1 E) (not (and (= D (tptp.k12_group_2 A C B)) (= E (tptp.k13_group_2 A C B)) (= _let_1 (tptp.k4_card_1 D)) (= _let_1 (tptp.k4_card_1 E))))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_group_2 B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (= (= C (tptp.k14_group_2 A B)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (tptp.r2_hidden D C) (exists ((E $$unsorted)) (and (tptp.m1_subset_1 E (tptp.u1_struct_0 A)) (= D (tptp.k12_group_2 A B E)))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_group_2 B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (= (= C (tptp.k15_group_2 A B)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (tptp.r2_hidden D C) (exists ((E $$unsorted)) (and (tptp.m1_subset_1 E (tptp.u1_struct_0 A)) (= D (tptp.k13_group_2 A B E)))))))))))))) true true true true true true true (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_group_2 B A) (=> (tptp.v6_group_1 A) (and (tptp.v1_finset_1 (tptp.k15_group_2 A B)) (tptp.v1_finset_1 (tptp.k14_group_2 A B)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k7_group_2 A B))) (=> (tptp.m1_group_2 B A) (and (tptp.r2_hidden _let_1 (tptp.k14_group_2 A B)) (tptp.r2_hidden _let_1 (tptp.k15_group_2 A B)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_group_2 B A) (tptp.r2_wellord2 (tptp.k14_group_2 A B) (tptp.k15_group_2 A B)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_group_2 B A) (and (= (tptp.k5_setfam_1 _let_1 (tptp.k14_group_2 A B)) _let_1) (= (tptp.k5_setfam_1 _let_1 (tptp.k15_group_2 A B)) _let_1))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k1_tarski (tptp.u1_struct_0 A)))) (let ((_let_2 (tptp.k6_group_2 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (and (= (tptp.k14_group_2 A _let_2) _let_1) (= (tptp.k15_group_2 A _let_2) _let_1)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v1_group_1 A) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_group_1 B) (tptp.m1_group_2 B A)) (=> (= (tptp.k14_group_2 A B) (tptp.k1_tarski (tptp.u1_struct_0 A))) (= B A)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v1_group_1 A) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_group_1 B) (tptp.m1_group_2 B A)) (=> (= (tptp.k15_group_2 A B) (tptp.k1_tarski (tptp.u1_struct_0 A))) (= B A)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_group_2 B A) (= (tptp.k16_group_2 A B) (tptp.k1_card_1 (tptp.k14_group_2 A B))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k16_group_2 A B))) (=> (tptp.m1_group_2 B A) (and (= _let_1 (tptp.k1_card_1 (tptp.k14_group_2 A B))) (= _let_1 (tptp.k1_card_1 (tptp.k15_group_2 A B))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_group_2 B A) (=> (tptp.v1_finset_1 (tptp.k14_group_2 A B)) (forall ((C $$unsorted)) (=> (tptp.m2_subset_1 C tptp.k1_numbers tptp.k5_numbers) (= (= C (tptp.k17_group_2 A B)) (exists ((D $$unsorted)) (and (tptp.v1_finset_1 D) (= D (tptp.k14_group_2 A B)) (= C (tptp.k4_card_1 D)))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_group_2 B A) (=> (tptp.v1_finset_1 (tptp.k14_group_2 A B)) (and (exists ((C $$unsorted)) (and (tptp.v1_finset_1 C) (= C (tptp.k14_group_2 A B)) (= (tptp.k17_group_2 A B) (tptp.k4_card_1 C)))) (exists ((C $$unsorted)) (and (tptp.v1_finset_1 C) (= C (tptp.k15_group_2 A B)) (= (tptp.k17_group_2 A B) (tptp.k4_card_1 C)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_group_2 B A) (=> (tptp.v6_group_1 A) (= (tptp.k9_group_1 A) (tptp.k2_nat_1 (tptp.k9_group_1 B) (tptp.k17_group_2 A B)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_group_2 B A) (=> (tptp.v6_group_1 A) (tptp.r1_nat_1 (tptp.k9_group_1 B) (tptp.k9_group_1 A))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_group_2 B A) (forall ((C $$unsorted)) (=> (tptp.m1_group_2 C A) (forall ((D $$unsorted)) (=> (tptp.m1_group_2 D C) (=> (and (tptp.v6_group_1 A) (= B D)) (= (tptp.k17_group_2 A B) (tptp.k2_nat_1 (tptp.k17_group_2 C D) (tptp.k17_group_2 A C)))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (= (tptp.k17_group_2 A (tptp.k6_group_2 A)) tptp.np__1))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v1_group_1 A) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_group_1 B) (tptp.m1_group_2 B A)) (=> (and (tptp.v1_finset_1 (tptp.k14_group_2 A B)) (= (tptp.k17_group_2 A B) tptp.np__1)) (= B A)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (= (tptp.k16_group_2 A (tptp.k5_group_2 A)) (tptp.k8_group_1 A)))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (=> (tptp.v6_group_1 A) (= (tptp.k17_group_2 A (tptp.k5_group_2 A)) (tptp.k9_group_1 A))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_group_1 B) (tptp.m1_group_2 B A)) (=> (and (tptp.v6_group_1 A) (= (tptp.k17_group_2 A B) (tptp.k9_group_1 A))) (tptp.r1_group_2 A B (tptp.k5_group_2 A))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_group_1 B) (tptp.m1_group_2 B A)) (=> (and (tptp.v1_finset_1 (tptp.k14_group_2 A B)) (= (tptp.k16_group_2 A B) (tptp.k8_group_1 A))) (and (tptp.v6_group_1 A) (tptp.r1_group_2 A B (tptp.k5_group_2 A)))))))) (forall ((A $$unsorted)) (=> (tptp.m2_subset_1 A tptp.k1_numbers tptp.k5_numbers) (forall ((B $$unsorted)) (=> (tptp.v1_finset_1 B) (not (and (forall ((C $$unsorted)) (not (and (tptp.r2_hidden C B) (forall ((D $$unsorted)) (=> (tptp.v1_finset_1 D) (not (and (= D C) (= (tptp.k4_card_1 D) A) (forall ((E $$unsorted)) (=> (tptp.r2_hidden E B) (or (= C E) (and (tptp.r2_wellord2 C E) (tptp.r1_xboole_0 C E)))))))))))) (forall ((C $$unsorted)) (=> (tptp.v1_finset_1 C) (not (and (= C (tptp.k3_tarski B)) (= (tptp.k4_card_1 C) (tptp.k2_nat_1 A (tptp.k4_card_1 B))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_group_2 B A) (and (not (tptp.v3_struct_0 B)) (tptp.v3_group_1 B) (tptp.l1_group_1 B)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.l1_group_1 A)) (exists ((B $$unsorted)) (tptp.m1_group_2 B A)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A) (tptp.v1_group_1 B) (tptp.m1_group_2 B A) (tptp.v1_group_1 C) (tptp.m1_group_2 C A)) (=> (tptp.r1_group_2 A B C) (tptp.r1_group_2 A C B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A) (tptp.v1_group_1 B) (tptp.m1_group_2 B A) (tptp.v1_group_1 C) (tptp.m1_group_2 C A)) (tptp.r1_group_2 A B B))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A) (tptp.v1_group_1 B) (tptp.m1_group_2 B A) (tptp.v1_group_1 C) (tptp.m1_group_2 C A)) (= (tptp.r1_group_2 A B C) (= B C)))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A) (tptp.m1_subset_1 B _let_1)) (tptp.m1_subset_1 (tptp.k1_group_2 A B) _let_1)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_group_1 A) (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (tptp.m1_subset_1 (tptp.k2_group_2 A B C) _let_1)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.k1_zfmisc_1 _let_1))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_group_1 A) (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_2)) (tptp.m1_subset_1 (tptp.k3_group_2 A B C) _let_2))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.k1_zfmisc_1 _let_1))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_group_1 A) (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_2)) (tptp.m1_subset_1 (tptp.k4_group_2 A B C) _let_2))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k5_group_2 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (and (tptp.v1_group_1 _let_1) (tptp.m1_group_2 _let_1 A))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k6_group_2 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (and (tptp.v1_group_1 _let_1) (tptp.m1_group_2 _let_1 A))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A) (tptp.m1_group_2 B A)) (tptp.m1_subset_1 (tptp.k7_group_2 A B) (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k8_group_2 A B C))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A) (tptp.m1_group_2 B A) (tptp.m1_group_2 C A)) (and (tptp.v1_group_1 _let_1) (tptp.m1_group_2 _let_1 A))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k9_group_2 A B C))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A) (tptp.m1_group_2 B A) (tptp.m1_group_2 C A)) (and (tptp.v1_group_1 _let_1) (tptp.m1_group_2 _let_1 A))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A) (tptp.m1_group_2 B A) (tptp.m1_group_2 C A)) (= (tptp.k9_group_2 A B C) (tptp.k9_group_2 A C B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A) (tptp.m1_group_2 B A) (tptp.m1_group_2 C A)) (= (tptp.k9_group_2 A B C) (tptp.k8_group_2 A B C)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A) (tptp.m1_group_2 B A) (tptp.m1_subset_1 C _let_1)) (tptp.m1_subset_1 (tptp.k10_group_2 A B C) _let_1)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A) (tptp.m1_group_2 B A) (tptp.m1_subset_1 C _let_1)) (tptp.m1_subset_1 (tptp.k11_group_2 A B C) _let_1)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A) (tptp.m1_group_2 B A) (tptp.m1_subset_1 C _let_1)) (tptp.m1_subset_1 (tptp.k12_group_2 A B C) (tptp.k1_zfmisc_1 _let_1))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A) (tptp.m1_group_2 B A) (tptp.m1_subset_1 C _let_1)) (tptp.m1_subset_1 (tptp.k13_group_2 A B C) (tptp.k1_zfmisc_1 _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A) (tptp.m1_group_2 B A)) (tptp.m1_subset_1 (tptp.k14_group_2 A B) (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A) (tptp.m1_group_2 B A)) (tptp.m1_subset_1 (tptp.k15_group_2 A B) (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A) (tptp.m1_group_2 B A)) (tptp.v1_card_1 (tptp.k16_group_2 A B)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A) (tptp.m1_group_2 B A)) (tptp.m2_subset_1 (tptp.k17_group_2 A B) tptp.k1_numbers tptp.k5_numbers))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.m1_subset_1 B A)) (tptp.m1_subset_1 (tptp.k18_group_2 A B) (tptp.k5_finsub_1 A)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.m1_subset_1 B A)) (= (tptp.k18_group_2 A B) (tptp.k1_tarski B)))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (tptp.k1_group_2 A B) (tptp.a_2_0_group_2 A B)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (tptp.k2_group_2 A B C) (tptp.a_3_0_group_2 A B C)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (= (tptp.k14_group_2 A (tptp.k5_group_2 A)) (tptp.a_1_0_group_2 A)))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (= (tptp.k15_group_2 A (tptp.k5_group_2 A)) (tptp.a_1_0_group_2 A)))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_group_1 B) (tptp.m1_group_2 B A)) (=> (= (tptp.k14_group_2 A B) (tptp.a_1_0_group_2 A)) (tptp.r1_group_2 A B (tptp.k5_group_2 A))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_group_1 B) (tptp.m1_group_2 B A)) (=> (= (tptp.k15_group_2 A B) (tptp.a_1_0_group_2 A)) (tptp.r1_group_2 A B (tptp.k5_group_2 A))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_group_1 B) (tptp.v4_group_1 B) (tptp.l1_group_1 B) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B)))) (= (tptp.r2_hidden A (tptp.a_2_0_group_2 B C)) (exists ((D $$unsorted)) (and (tptp.m1_subset_1 D (tptp.u1_struct_0 B)) (= A (tptp.k3_group_1 B D)) (tptp.r2_hidden D C)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B)))) (=> (and (not (tptp.v3_struct_0 B)) (tptp.l1_group_1 B) (tptp.m1_subset_1 C _let_1) (tptp.m1_subset_1 D _let_1)) (= (tptp.r2_hidden A (tptp.a_3_0_group_2 B C D)) (exists ((E $$unsorted) (F $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (and (tptp.m1_subset_1 E _let_1) (tptp.m1_subset_1 F _let_1) (= A (tptp.k1_group_1 B E F)) (tptp.r2_hidden E C) (tptp.r2_hidden F D)))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_group_1 B) (tptp.v4_group_1 B) (tptp.l1_group_1 B)) (= (tptp.r2_hidden A (tptp.a_1_0_group_2 B)) (exists ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (and (tptp.m1_subset_1 C _let_1) (= A (tptp.k6_domain_1 _let_1 C)))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A) (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v12_vectsp_1 B A) (tptp.l4_vectsp_1 B A)) (exists ((C $$unsorted)) (and (tptp.m1_vectsp_4 C A B) (not (tptp.v3_struct_0 C)) (tptp.v3_rlvect_1 C) (tptp.v4_rlvect_1 C) (tptp.v5_rlvect_1 C) (tptp.v6_rlvect_1 C) (tptp.v11_vectsp_1 C A) (tptp.v12_vectsp_1 C A))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.l4_vectsp_1 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B))) (= (tptp.v1_vectsp_4 C A B) (and (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 B)) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.u1_struct_0 B)) (=> (and (tptp.r2_hidden D C) (tptp.r2_hidden E C)) (tptp.r2_hidden (tptp.k2_rlvect_1 B D E) C)))))) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.u1_struct_0 B)) (=> (tptp.r2_hidden E C) (tptp.r2_hidden (tptp.k6_vectsp_1 A B D E) C)))))))))))))) true true true (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v12_vectsp_1 B A) (tptp.l4_vectsp_1 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B))) (=> (tptp.v1_vectsp_4 C A B) (or (= C tptp.k1_xboole_0) (tptp.r2_hidden (tptp.k1_rlvect_1 B) C))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v12_vectsp_1 B A) (tptp.l4_vectsp_1 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B))) (=> (tptp.v1_vectsp_4 C A B) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 B)) (=> (tptp.r2_hidden D C) (tptp.r2_hidden (tptp.k5_rlvect_1 B D) C))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v12_vectsp_1 B A) (tptp.l4_vectsp_1 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B))) (=> (tptp.v1_vectsp_4 C A B) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 B)) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.u1_struct_0 B)) (=> (and (tptp.r2_hidden D C) (tptp.r2_hidden E C)) (tptp.r2_hidden (tptp.k6_rlvect_1 B D E) C))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v12_vectsp_1 B A) (tptp.l4_vectsp_1 B A)) (tptp.v1_vectsp_4 (tptp.k6_domain_1 (tptp.u1_struct_0 B) (tptp.k1_rlvect_1 B)) A B))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v12_vectsp_1 B A) (tptp.l4_vectsp_1 B A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 _let_1)) (=> (= _let_1 C) (tptp.v1_vectsp_4 C A B))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v12_vectsp_1 B A) (tptp.l4_vectsp_1 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B))) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 _let_1)) (=> (and (tptp.v1_vectsp_4 C A B) (tptp.v1_vectsp_4 D A B)) (tptp.v1_vectsp_4 (tptp.k5_subset_1 _let_1 C D) A B))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v12_vectsp_1 B A) (tptp.l4_vectsp_1 B A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 C))) (=> (and (not (tptp.v3_struct_0 C)) (tptp.v3_rlvect_1 C) (tptp.v4_rlvect_1 C) (tptp.v5_rlvect_1 C) (tptp.v6_rlvect_1 C) (tptp.v12_vectsp_1 C A) (tptp.l4_vectsp_1 C A)) (= (tptp.m1_vectsp_4 C A B) (and (tptp.r1_tarski _let_1 (tptp.u1_struct_0 B)) (= (tptp.u2_struct_0 C) (tptp.u2_struct_0 B)) (= (tptp.u1_rlvect_1 C) (tptp.k1_realset1 (tptp.u1_rlvect_1 B) _let_1)) (= (tptp.u2_vectsp_1 A C) (tptp.k7_relat_1 (tptp.u2_vectsp_1 A B) (tptp.k2_zfmisc_1 (tptp.u1_struct_0 A) _let_1)))))))))))) true true true true true (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v4_group_1 B) (tptp.v7_vectsp_1 B) (tptp.v8_vectsp_1 B) (tptp.l3_vectsp_1 B)) (forall ((C $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.v3_rlvect_1 C) (tptp.v4_rlvect_1 C) (tptp.v5_rlvect_1 C) (tptp.v6_rlvect_1 C) (tptp.v12_vectsp_1 C B) (tptp.l4_vectsp_1 C B)) (forall ((D $$unsorted)) (=> (tptp.m1_vectsp_4 D B C) (forall ((E $$unsorted)) (=> (tptp.m1_vectsp_4 E B C) (=> (and (tptp.r1_rlvect_1 D A) (tptp.m1_vectsp_4 D B E)) (tptp.r1_rlvect_1 E A)))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v4_group_1 B) (tptp.v7_vectsp_1 B) (tptp.v8_vectsp_1 B) (tptp.l3_vectsp_1 B)) (forall ((C $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.v3_rlvect_1 C) (tptp.v4_rlvect_1 C) (tptp.v5_rlvect_1 C) (tptp.v6_rlvect_1 C) (tptp.v12_vectsp_1 C B) (tptp.l4_vectsp_1 C B)) (forall ((D $$unsorted)) (=> (tptp.m1_vectsp_4 D B C) (=> (tptp.r1_rlvect_1 D A) (tptp.r1_rlvect_1 C A)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v12_vectsp_1 B A) (tptp.l4_vectsp_1 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_vectsp_4 C A B) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 C)) (tptp.m1_subset_1 D (tptp.u1_struct_0 B)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v12_vectsp_1 B A) (tptp.l4_vectsp_1 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_vectsp_4 C A B) (= (tptp.k1_rlvect_1 C) (tptp.k1_rlvect_1 B)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v12_vectsp_1 B A) (tptp.l4_vectsp_1 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_vectsp_4 C A B) (forall ((D $$unsorted)) (=> (tptp.m1_vectsp_4 D A B) (= (tptp.k1_rlvect_1 C) (tptp.k1_rlvect_1 D)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v12_vectsp_1 B A) (tptp.l4_vectsp_1 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 B)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 B)) (forall ((E $$unsorted)) (=> (tptp.m1_vectsp_4 E A B) (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F (tptp.u1_struct_0 E)) (forall ((G $$unsorted)) (=> (tptp.m1_subset_1 G (tptp.u1_struct_0 E)) (=> (and (= F C) (= G D)) (= (tptp.k4_rlvect_1 E F G) (tptp.k4_rlvect_1 B C D))))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v12_vectsp_1 B A) (tptp.l4_vectsp_1 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 B)) (forall ((E $$unsorted)) (=> (tptp.m1_vectsp_4 E A B) (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F (tptp.u1_struct_0 E)) (=> (= F D) (= (tptp.k6_vectsp_1 A E C F) (tptp.k6_vectsp_1 A B C D))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v12_vectsp_1 B A) (tptp.l4_vectsp_1 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 B)) (forall ((D $$unsorted)) (=> (tptp.m1_vectsp_4 D A B) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.u1_struct_0 D)) (=> (= E C) (= (tptp.k5_rlvect_1 B C) (tptp.k5_rlvect_1 D E))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v12_vectsp_1 B A) (tptp.l4_vectsp_1 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 B)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 B)) (forall ((E $$unsorted)) (=> (tptp.m1_vectsp_4 E A B) (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F (tptp.u1_struct_0 E)) (forall ((G $$unsorted)) (=> (tptp.m1_subset_1 G (tptp.u1_struct_0 E)) (=> (and (= F C) (= G D)) (= (tptp.k6_rlvect_1 E F G) (tptp.k6_rlvect_1 B C D))))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v12_vectsp_1 B A) (tptp.l4_vectsp_1 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_vectsp_4 C A B) (tptp.r1_rlvect_1 C (tptp.k1_rlvect_1 B)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v12_vectsp_1 B A) (tptp.l4_vectsp_1 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_vectsp_4 C A B) (forall ((D $$unsorted)) (=> (tptp.m1_vectsp_4 D A B) (tptp.r1_rlvect_1 D (tptp.k1_rlvect_1 C)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v12_vectsp_1 B A) (tptp.l4_vectsp_1 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_vectsp_4 C A B) (tptp.r1_rlvect_1 B (tptp.k1_rlvect_1 C)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v12_vectsp_1 B A) (tptp.l4_vectsp_1 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 B)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 B)) (forall ((E $$unsorted)) (=> (tptp.m1_vectsp_4 E A B) (=> (and (tptp.r1_rlvect_1 E C) (tptp.r1_rlvect_1 E D)) (tptp.r1_rlvect_1 E (tptp.k4_rlvect_1 B C D))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v12_vectsp_1 B A) (tptp.l4_vectsp_1 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 B)) (forall ((E $$unsorted)) (=> (tptp.m1_vectsp_4 E A B) (=> (tptp.r1_rlvect_1 E D) (tptp.r1_rlvect_1 E (tptp.k6_vectsp_1 A B C D))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v12_vectsp_1 B A) (tptp.l4_vectsp_1 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 B)) (forall ((D $$unsorted)) (=> (tptp.m1_vectsp_4 D A B) (=> (tptp.r1_rlvect_1 D C) (tptp.r1_rlvect_1 D (tptp.k5_rlvect_1 B C))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v12_vectsp_1 B A) (tptp.l4_vectsp_1 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 B)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 B)) (forall ((E $$unsorted)) (=> (tptp.m1_vectsp_4 E A B) (=> (and (tptp.r1_rlvect_1 E C) (tptp.r1_rlvect_1 E D)) (tptp.r1_rlvect_1 E (tptp.k6_rlvect_1 B C D))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v12_vectsp_1 B A) (tptp.l4_vectsp_1 B A)) (tptp.m1_vectsp_4 B A B))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v11_vectsp_1 B A) (tptp.v12_vectsp_1 B A) (tptp.l4_vectsp_1 B A)) (forall ((C $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.v3_rlvect_1 C) (tptp.v4_rlvect_1 C) (tptp.v5_rlvect_1 C) (tptp.v6_rlvect_1 C) (tptp.v11_vectsp_1 C A) (tptp.v12_vectsp_1 C A) (tptp.l4_vectsp_1 C A)) (=> (and (tptp.m1_vectsp_4 C A B) (tptp.m1_vectsp_4 B A C)) (= C B)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v12_vectsp_1 B A) (tptp.l4_vectsp_1 B A)) (forall ((C $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.v3_rlvect_1 C) (tptp.v4_rlvect_1 C) (tptp.v5_rlvect_1 C) (tptp.v6_rlvect_1 C) (tptp.v12_vectsp_1 C A) (tptp.l4_vectsp_1 C A)) (forall ((D $$unsorted)) (=> (and (not (tptp.v3_struct_0 D)) (tptp.v3_rlvect_1 D) (tptp.v4_rlvect_1 D) (tptp.v5_rlvect_1 D) (tptp.v6_rlvect_1 D) (tptp.v12_vectsp_1 D A) (tptp.l4_vectsp_1 D A)) (=> (and (tptp.m1_vectsp_4 B A C) (tptp.m1_vectsp_4 C A D)) (tptp.m1_vectsp_4 B A D)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v12_vectsp_1 B A) (tptp.l4_vectsp_1 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_vectsp_4 C A B) (forall ((D $$unsorted)) (=> (tptp.m1_vectsp_4 D A B) (=> (tptp.r1_tarski (tptp.u1_struct_0 C) (tptp.u1_struct_0 D)) (tptp.m1_vectsp_4 C A D)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v12_vectsp_1 B A) (tptp.l4_vectsp_1 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_vectsp_4 C A B) (forall ((D $$unsorted)) (=> (tptp.m1_vectsp_4 D A B) (=> (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.u1_struct_0 B)) (=> (tptp.r1_rlvect_1 C E) (tptp.r1_rlvect_1 D E)))) (tptp.m1_vectsp_4 C A D)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v12_vectsp_1 B A) (tptp.l4_vectsp_1 B A)) (forall ((C $$unsorted)) (=> (and (tptp.v11_vectsp_1 C A) (tptp.m1_vectsp_4 C A B)) (forall ((D $$unsorted)) (=> (and (tptp.v11_vectsp_1 D A) (tptp.m1_vectsp_4 D A B)) (=> (= (tptp.u1_struct_0 C) (tptp.u1_struct_0 D)) (= C D)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v12_vectsp_1 B A) (tptp.l4_vectsp_1 B A)) (forall ((C $$unsorted)) (=> (and (tptp.v11_vectsp_1 C A) (tptp.m1_vectsp_4 C A B)) (forall ((D $$unsorted)) (=> (and (tptp.v11_vectsp_1 D A) (tptp.m1_vectsp_4 D A B)) (=> (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.u1_struct_0 B)) (= (tptp.r1_rlvect_1 C E) (tptp.r1_rlvect_1 D E)))) (= C D)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v11_vectsp_1 B A) (tptp.v12_vectsp_1 B A) (tptp.l4_vectsp_1 B A)) (forall ((C $$unsorted)) (=> (and (tptp.v11_vectsp_1 C A) (tptp.m1_vectsp_4 C A B)) (=> (= (tptp.u1_struct_0 C) (tptp.u1_struct_0 B)) (= C B)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v11_vectsp_1 B A) (tptp.v12_vectsp_1 B A) (tptp.l4_vectsp_1 B A)) (forall ((C $$unsorted)) (=> (and (tptp.v11_vectsp_1 C A) (tptp.m1_vectsp_4 C A B)) (=> (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 B)) (tptp.r1_rlvect_1 C D))) (= C B)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v12_vectsp_1 B A) (tptp.l4_vectsp_1 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_vectsp_4 C A B) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B))) (=> (= (tptp.u1_struct_0 C) D) (tptp.v1_vectsp_4 D A B)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v12_vectsp_1 B A) (tptp.l4_vectsp_1 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B))) (not (and (not (= C tptp.k1_xboole_0)) (tptp.v1_vectsp_4 C A B) (forall ((D $$unsorted)) (=> (and (tptp.v11_vectsp_1 D A) (tptp.m1_vectsp_4 D A B)) (not (= C (tptp.u1_struct_0 D))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v12_vectsp_1 B A) (tptp.l4_vectsp_1 B A)) (forall ((C $$unsorted)) (=> (and (tptp.v11_vectsp_1 C A) (tptp.m1_vectsp_4 C A B)) (= (= C (tptp.k1_vectsp_4 A B)) (= (tptp.u1_struct_0 C) (tptp.k6_domain_1 (tptp.u1_struct_0 B) (tptp.k1_rlvect_1 B)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v12_vectsp_1 B A) (tptp.l4_vectsp_1 B A)) (= (tptp.k2_vectsp_4 A B) (tptp.g4_vectsp_1 A (tptp.u1_struct_0 B) (tptp.u1_rlvect_1 B) (tptp.u2_struct_0 B) (tptp.u2_vectsp_1 A B))))))) true true true (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v4_group_1 B) (tptp.v7_vectsp_1 B) (tptp.v8_vectsp_1 B) (tptp.l3_vectsp_1 B)) (forall ((C $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.v3_rlvect_1 C) (tptp.v4_rlvect_1 C) (tptp.v5_rlvect_1 C) (tptp.v6_rlvect_1 C) (tptp.v12_vectsp_1 C B) (tptp.l4_vectsp_1 C B)) (= (tptp.r1_rlvect_1 (tptp.k1_vectsp_4 B C) A) (= A (tptp.k1_rlvect_1 C))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v12_vectsp_1 B A) (tptp.l4_vectsp_1 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_vectsp_4 C A B) (= (tptp.k1_vectsp_4 A C) (tptp.k1_vectsp_4 A B)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v12_vectsp_1 B A) (tptp.l4_vectsp_1 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_vectsp_4 C A B) (forall ((D $$unsorted)) (=> (tptp.m1_vectsp_4 D A B) (= (tptp.k1_vectsp_4 A C) (tptp.k1_vectsp_4 A D)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v12_vectsp_1 B A) (tptp.l4_vectsp_1 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_vectsp_4 C A B) (tptp.m1_vectsp_4 (tptp.k1_vectsp_4 A C) A B))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v12_vectsp_1 B A) (tptp.l4_vectsp_1 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_vectsp_4 C A B) (tptp.m1_vectsp_4 (tptp.k1_vectsp_4 A B) A C))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v12_vectsp_1 B A) (tptp.l4_vectsp_1 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_vectsp_4 C A B) (forall ((D $$unsorted)) (=> (tptp.m1_vectsp_4 D A B) (tptp.m1_vectsp_4 (tptp.k1_vectsp_4 A C) A D))))))))) true (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v11_vectsp_1 B A) (tptp.v12_vectsp_1 B A) (tptp.l4_vectsp_1 B A)) (tptp.m1_vectsp_4 B A (tptp.k2_vectsp_4 A B)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v12_vectsp_1 B A) (tptp.l4_vectsp_1 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_vectsp_4 C A B) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B))) (= (tptp.m2_vectsp_4 D A B C) (exists ((E $$unsorted)) (and (tptp.m1_subset_1 E (tptp.u1_struct_0 B)) (= D (tptp.k3_vectsp_4 A B E C))))))))))))) true true true (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v4_group_1 B) (tptp.v7_vectsp_1 B) (tptp.v8_vectsp_1 B) (tptp.l3_vectsp_1 B)) (forall ((C $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.v3_rlvect_1 C) (tptp.v4_rlvect_1 C) (tptp.v5_rlvect_1 C) (tptp.v6_rlvect_1 C) (tptp.v12_vectsp_1 C B) (tptp.l4_vectsp_1 C B)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 C)) (forall ((E $$unsorted)) (=> (tptp.m1_vectsp_4 E B C) (= (tptp.r2_hidden A (tptp.k3_vectsp_4 B C D E)) (exists ((F $$unsorted)) (and (tptp.m1_subset_1 F (tptp.u1_struct_0 C)) (tptp.r1_rlvect_1 E F) (= A (tptp.k4_rlvect_1 C D F))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v12_vectsp_1 B A) (tptp.l4_vectsp_1 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 B)) (forall ((D $$unsorted)) (=> (tptp.m1_vectsp_4 D A B) (= (tptp.r2_hidden (tptp.k1_rlvect_1 B) (tptp.k3_vectsp_4 A B C D)) (tptp.r1_rlvect_1 D C)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v12_vectsp_1 B A) (tptp.l4_vectsp_1 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 B)) (forall ((D $$unsorted)) (=> (tptp.m1_vectsp_4 D A B) (tptp.r2_hidden C (tptp.k3_vectsp_4 A B C D)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v12_vectsp_1 B A) (tptp.l4_vectsp_1 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_vectsp_4 C A B) (= (tptp.k3_vectsp_4 A B (tptp.k1_rlvect_1 B) C) (tptp.u1_struct_0 C)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v12_vectsp_1 B A) (tptp.l4_vectsp_1 B A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (=> (tptp.m1_subset_1 C _let_1) (= (tptp.k3_vectsp_4 A B C (tptp.k1_vectsp_4 A B)) (tptp.k6_domain_1 _let_1 C))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v12_vectsp_1 B A) (tptp.l4_vectsp_1 B A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (=> (tptp.m1_subset_1 C _let_1) (= (tptp.k3_vectsp_4 A B C (tptp.k2_vectsp_4 A B)) _let_1)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v12_vectsp_1 B A) (tptp.l4_vectsp_1 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 B)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k3_vectsp_4 A B C D))) (=> (tptp.m1_vectsp_4 D A B) (= (tptp.r2_hidden (tptp.k1_rlvect_1 B) _let_1) (= _let_1 (tptp.u1_struct_0 D)))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v12_vectsp_1 B A) (tptp.l4_vectsp_1 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 B)) (forall ((D $$unsorted)) (=> (tptp.m1_vectsp_4 D A B) (= (tptp.r1_rlvect_1 D C) (= (tptp.k3_vectsp_4 A B C D) (tptp.u1_struct_0 D))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v12_vectsp_1 B A) (tptp.l4_vectsp_1 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 B)) (forall ((E $$unsorted)) (=> (tptp.m1_vectsp_4 E A B) (=> (tptp.r1_rlvect_1 E D) (= (tptp.k3_vectsp_4 A B (tptp.k6_vectsp_1 A B C D) E) (tptp.u1_struct_0 E))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v7_group_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.v9_vectsp_1 A) (not (tptp.v10_vectsp_1 A)) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v12_vectsp_1 B A) (tptp.l4_vectsp_1 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 B)) (forall ((E $$unsorted)) (=> (tptp.m1_vectsp_4 E A B) (=> (= (tptp.k3_vectsp_4 A B (tptp.k6_vectsp_1 A B C D) E) (tptp.u1_struct_0 E)) (or (= C (tptp.k1_rlvect_1 A)) (tptp.r1_rlvect_1 E D))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v7_group_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.v9_vectsp_1 A) (not (tptp.v10_vectsp_1 A)) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v12_vectsp_1 B A) (tptp.l4_vectsp_1 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 B)) (forall ((D $$unsorted)) (=> (tptp.m1_vectsp_4 D A B) (= (tptp.r1_rlvect_1 D C) (= (tptp.k3_vectsp_4 A B (tptp.k5_rlvect_1 B C) D) (tptp.u1_struct_0 D))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v12_vectsp_1 B A) (tptp.l4_vectsp_1 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 B)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 B)) (forall ((E $$unsorted)) (=> (tptp.m1_vectsp_4 E A B) (= (tptp.r1_rlvect_1 E C) (= (tptp.k3_vectsp_4 A B D E) (tptp.k3_vectsp_4 A B (tptp.k4_rlvect_1 B D C) E))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v12_vectsp_1 B A) (tptp.l4_vectsp_1 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 B)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 B)) (forall ((E $$unsorted)) (=> (tptp.m1_vectsp_4 E A B) (= (tptp.r1_rlvect_1 E C) (= (tptp.k3_vectsp_4 A B D E) (tptp.k3_vectsp_4 A B (tptp.k6_rlvect_1 B D C) E))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v12_vectsp_1 B A) (tptp.l4_vectsp_1 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 B)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 B)) (forall ((E $$unsorted)) (let ((_let_1 (tptp.k3_vectsp_4 A B D E))) (=> (tptp.m1_vectsp_4 E A B) (= (tptp.r2_hidden C _let_1) (= _let_1 (tptp.k3_vectsp_4 A B C E)))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v12_vectsp_1 B A) (tptp.l4_vectsp_1 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 B)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 B)) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.u1_struct_0 B)) (forall ((F $$unsorted)) (let ((_let_1 (tptp.k3_vectsp_4 A B E F))) (let ((_let_2 (tptp.k3_vectsp_4 A B D F))) (=> (tptp.m1_vectsp_4 F A B) (=> (and (tptp.r2_hidden C _let_2) (tptp.r2_hidden C _let_1)) (= _let_2 _let_1)))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v7_group_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.v9_vectsp_1 A) (not (tptp.v10_vectsp_1 A)) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v12_vectsp_1 B A) (tptp.l4_vectsp_1 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 B)) (forall ((E $$unsorted)) (=> (tptp.m1_vectsp_4 E A B) (=> (tptp.r2_hidden (tptp.k6_vectsp_1 A B C D) (tptp.k3_vectsp_4 A B D E)) (or (= C (tptp.k2_group_1 A)) (tptp.r1_rlvect_1 E D))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v12_vectsp_1 B A) (tptp.l4_vectsp_1 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 B)) (forall ((E $$unsorted)) (=> (tptp.m1_vectsp_4 E A B) (=> (tptp.r1_rlvect_1 E D) (tptp.r2_hidden (tptp.k6_vectsp_1 A B C D) (tptp.k3_vectsp_4 A B D E))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v12_vectsp_1 B A) (tptp.l4_vectsp_1 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 B)) (forall ((D $$unsorted)) (=> (tptp.m1_vectsp_4 D A B) (=> (tptp.r1_rlvect_1 D C) (tptp.r2_hidden (tptp.k5_rlvect_1 B C) (tptp.k3_vectsp_4 A B C D))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v12_vectsp_1 B A) (tptp.l4_vectsp_1 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 B)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 B)) (forall ((E $$unsorted)) (=> (tptp.m1_vectsp_4 E A B) (= (tptp.r2_hidden (tptp.k4_rlvect_1 B C D) (tptp.k3_vectsp_4 A B D E)) (tptp.r1_rlvect_1 E C)))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v12_vectsp_1 B A) (tptp.l4_vectsp_1 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 B)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 B)) (forall ((E $$unsorted)) (=> (tptp.m1_vectsp_4 E A B) (= (tptp.r2_hidden (tptp.k6_rlvect_1 B C D) (tptp.k3_vectsp_4 A B C E)) (tptp.r1_rlvect_1 E D)))))))))))) true (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v12_vectsp_1 B A) (tptp.l4_vectsp_1 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 B)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 B)) (forall ((E $$unsorted)) (=> (tptp.m1_vectsp_4 E A B) (= (tptp.r2_hidden C (tptp.k3_vectsp_4 A B D E)) (exists ((F $$unsorted)) (and (tptp.m1_subset_1 F (tptp.u1_struct_0 B)) (tptp.r1_rlvect_1 E F) (= C (tptp.k6_rlvect_1 B D F))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v12_vectsp_1 B A) (tptp.l4_vectsp_1 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 B)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 B)) (forall ((E $$unsorted)) (=> (tptp.m1_vectsp_4 E A B) (= (exists ((F $$unsorted)) (let ((_let_1 (tptp.k3_vectsp_4 A B F E))) (and (tptp.m1_subset_1 F (tptp.u1_struct_0 B)) (tptp.r2_hidden C _let_1) (tptp.r2_hidden D _let_1)))) (tptp.r1_rlvect_1 E (tptp.k6_rlvect_1 B C D))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v12_vectsp_1 B A) (tptp.l4_vectsp_1 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 B)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 B)) (forall ((E $$unsorted)) (=> (tptp.m1_vectsp_4 E A B) (not (and (= (tptp.k3_vectsp_4 A B C E) (tptp.k3_vectsp_4 A B D E)) (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F (tptp.u1_struct_0 B)) (not (and (tptp.r1_rlvect_1 E F) (= (tptp.k4_rlvect_1 B C F) D))))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v12_vectsp_1 B A) (tptp.l4_vectsp_1 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 B)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 B)) (forall ((E $$unsorted)) (=> (tptp.m1_vectsp_4 E A B) (not (and (= (tptp.k3_vectsp_4 A B C E) (tptp.k3_vectsp_4 A B D E)) (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F (tptp.u1_struct_0 B)) (not (and (tptp.r1_rlvect_1 E F) (= (tptp.k6_rlvect_1 B C F) D))))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v12_vectsp_1 B A) (tptp.l4_vectsp_1 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 B)) (forall ((D $$unsorted)) (=> (and (tptp.v11_vectsp_1 D A) (tptp.m1_vectsp_4 D A B)) (forall ((E $$unsorted)) (=> (and (tptp.v11_vectsp_1 E A) (tptp.m1_vectsp_4 E A B)) (= (= (tptp.k3_vectsp_4 A B C D) (tptp.k3_vectsp_4 A B C E)) (= D E)))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v12_vectsp_1 B A) (tptp.l4_vectsp_1 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 B)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 B)) (forall ((E $$unsorted)) (=> (and (tptp.v11_vectsp_1 E A) (tptp.m1_vectsp_4 E A B)) (forall ((F $$unsorted)) (=> (and (tptp.v11_vectsp_1 F A) (tptp.m1_vectsp_4 F A B)) (=> (= (tptp.k3_vectsp_4 A B C E) (tptp.k3_vectsp_4 A B D F)) (= E F)))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v12_vectsp_1 B A) (tptp.l4_vectsp_1 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 B)) (forall ((D $$unsorted)) (=> (tptp.m1_vectsp_4 D A B) (exists ((E $$unsorted)) (and (tptp.m2_vectsp_4 E A B D) (tptp.r2_hidden C E))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v12_vectsp_1 B A) (tptp.l4_vectsp_1 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_vectsp_4 C A B) (forall ((D $$unsorted)) (=> (tptp.m2_vectsp_4 D A B C) (= (tptp.v1_vectsp_4 D A B) (= D (tptp.u1_struct_0 C))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v12_vectsp_1 B A) (tptp.l4_vectsp_1 B A)) (forall ((C $$unsorted)) (=> (and (tptp.v11_vectsp_1 C A) (tptp.m1_vectsp_4 C A B)) (forall ((D $$unsorted)) (=> (and (tptp.v11_vectsp_1 D A) (tptp.m1_vectsp_4 D A B)) (forall ((E $$unsorted)) (=> (tptp.m2_vectsp_4 E A B C) (forall ((F $$unsorted)) (=> (tptp.m2_vectsp_4 F A B D) (=> (= E F) (= C D)))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v12_vectsp_1 B A) (tptp.l4_vectsp_1 B A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (=> (tptp.m1_subset_1 C _let_1) (tptp.m2_vectsp_4 (tptp.k6_domain_1 _let_1 C) A B (tptp.k1_vectsp_4 A B))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v12_vectsp_1 B A) (tptp.l4_vectsp_1 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B))) (not (and (tptp.m2_vectsp_4 C A B (tptp.k1_vectsp_4 A B)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (=> (tptp.m1_subset_1 D _let_1) (not (= C (tptp.k6_domain_1 _let_1 D)))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v12_vectsp_1 B A) (tptp.l4_vectsp_1 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_vectsp_4 C A B) (tptp.m2_vectsp_4 (tptp.u1_struct_0 C) A B C))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v12_vectsp_1 B A) (tptp.l4_vectsp_1 B A)) (tptp.m2_vectsp_4 (tptp.u1_struct_0 B) A B (tptp.k2_vectsp_4 A B)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v12_vectsp_1 B A) (tptp.l4_vectsp_1 B A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 _let_1)) (=> (tptp.m2_vectsp_4 C A B (tptp.k2_vectsp_4 A B)) (= C _let_1))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v12_vectsp_1 B A) (tptp.l4_vectsp_1 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_vectsp_4 C A B) (forall ((D $$unsorted)) (=> (tptp.m2_vectsp_4 D A B C) (= (tptp.r2_hidden (tptp.k1_rlvect_1 B) D) (= D (tptp.u1_struct_0 C))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v12_vectsp_1 B A) (tptp.l4_vectsp_1 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 B)) (forall ((D $$unsorted)) (=> (tptp.m1_vectsp_4 D A B) (forall ((E $$unsorted)) (=> (tptp.m2_vectsp_4 E A B D) (= (tptp.r2_hidden C E) (= E (tptp.k3_vectsp_4 A B C D))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v12_vectsp_1 B A) (tptp.l4_vectsp_1 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 B)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 B)) (forall ((E $$unsorted)) (=> (tptp.m1_vectsp_4 E A B) (forall ((F $$unsorted)) (=> (tptp.m2_vectsp_4 F A B E) (not (and (tptp.r2_hidden C F) (tptp.r2_hidden D F) (forall ((G $$unsorted)) (=> (tptp.m1_subset_1 G (tptp.u1_struct_0 B)) (not (and (tptp.r1_rlvect_1 E G) (= (tptp.k4_rlvect_1 B C G) D))))))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v12_vectsp_1 B A) (tptp.l4_vectsp_1 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 B)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 B)) (forall ((E $$unsorted)) (=> (tptp.m1_vectsp_4 E A B) (forall ((F $$unsorted)) (=> (tptp.m2_vectsp_4 F A B E) (not (and (tptp.r2_hidden C F) (tptp.r2_hidden D F) (forall ((G $$unsorted)) (=> (tptp.m1_subset_1 G (tptp.u1_struct_0 B)) (not (and (tptp.r1_rlvect_1 E G) (= (tptp.k6_rlvect_1 B C G) D))))))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v12_vectsp_1 B A) (tptp.l4_vectsp_1 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 B)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 B)) (forall ((E $$unsorted)) (=> (tptp.m1_vectsp_4 E A B) (= (exists ((F $$unsorted)) (and (tptp.m2_vectsp_4 F A B E) (tptp.r2_hidden C F) (tptp.r2_hidden D F))) (tptp.r1_rlvect_1 E (tptp.k6_rlvect_1 B C D))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v12_vectsp_1 B A) (tptp.l4_vectsp_1 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 B)) (forall ((D $$unsorted)) (=> (tptp.m1_vectsp_4 D A B) (forall ((E $$unsorted)) (=> (tptp.m2_vectsp_4 E A B D) (forall ((F $$unsorted)) (=> (tptp.m2_vectsp_4 F A B D) (=> (and (tptp.r2_hidden C E) (tptp.r2_hidden C F)) (= E F)))))))))))))) true true true true true (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v7_group_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v12_vectsp_1 B A) (tptp.l4_vectsp_1 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.u1_struct_0 B)) (= (tptp.k6_vectsp_1 A B (tptp.k6_rlvect_1 A C D) E) (tptp.k6_rlvect_1 B (tptp.k6_vectsp_1 A B C E) (tptp.k6_vectsp_1 A B D E))))))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A) (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v12_vectsp_1 B A) (tptp.l4_vectsp_1 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_vectsp_4 C A B) (and (not (tptp.v3_struct_0 C)) (tptp.v3_rlvect_1 C) (tptp.v4_rlvect_1 C) (tptp.v5_rlvect_1 C) (tptp.v6_rlvect_1 C) (tptp.v12_vectsp_1 C A) (tptp.l4_vectsp_1 C A)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A) (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v12_vectsp_1 B A) (tptp.l4_vectsp_1 B A)) (exists ((C $$unsorted)) (tptp.m1_vectsp_4 C A B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A) (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v12_vectsp_1 B A) (tptp.l4_vectsp_1 B A) (tptp.m1_vectsp_4 C A B)) (forall ((D $$unsorted)) (=> (tptp.m2_vectsp_4 D A B C) (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A) (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v12_vectsp_1 B A) (tptp.l4_vectsp_1 B A) (tptp.m1_vectsp_4 C A B)) (exists ((D $$unsorted)) (tptp.m2_vectsp_4 D A B C)))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k1_vectsp_4 A B))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A) (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v12_vectsp_1 B A) (tptp.l4_vectsp_1 B A)) (and (tptp.v11_vectsp_1 _let_1 A) (tptp.m1_vectsp_4 _let_1 A B))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k2_vectsp_4 A B))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A) (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v12_vectsp_1 B A) (tptp.l4_vectsp_1 B A)) (and (tptp.v11_vectsp_1 _let_1 A) (tptp.m1_vectsp_4 _let_1 A B))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A) (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v12_vectsp_1 B A) (tptp.l4_vectsp_1 B A) (tptp.m1_subset_1 C _let_1) (tptp.m1_vectsp_4 D A B)) (tptp.m1_subset_1 (tptp.k3_vectsp_4 A B C D) (tptp.k1_zfmisc_1 _let_1))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v12_vectsp_1 B A) (tptp.l4_vectsp_1 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B))) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B))) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B))) (=> (and (tptp.v1_vectsp_4 C A B) (tptp.v1_vectsp_4 D A B) (= E (tptp.a_4_0_vectsp_4 A B C D))) (tptp.v1_vectsp_4 E A B)))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v12_vectsp_1 B A) (tptp.l4_vectsp_1 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 B)) (forall ((D $$unsorted)) (=> (tptp.m1_vectsp_4 D A B) (= (tptp.k3_vectsp_4 A B C D) (tptp.a_4_1_vectsp_4 A B C D)))))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 C)))) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v4_group_1 B) (tptp.v7_vectsp_1 B) (tptp.v8_vectsp_1 B) (tptp.l3_vectsp_1 B) (not (tptp.v3_struct_0 C)) (tptp.v3_rlvect_1 C) (tptp.v4_rlvect_1 C) (tptp.v5_rlvect_1 C) (tptp.v6_rlvect_1 C) (tptp.v12_vectsp_1 C B) (tptp.l4_vectsp_1 C B) (tptp.m1_subset_1 D _let_1) (tptp.m1_subset_1 E _let_1)) (= (tptp.r2_hidden A (tptp.a_4_0_vectsp_4 B C D E)) (exists ((F $$unsorted) (G $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 C))) (and (tptp.m1_subset_1 F _let_1) (tptp.m1_subset_1 G _let_1) (= A (tptp.k4_rlvect_1 C F G)) (tptp.r2_hidden F D) (tptp.r2_hidden G E)))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v4_group_1 B) (tptp.v7_vectsp_1 B) (tptp.v8_vectsp_1 B) (tptp.l3_vectsp_1 B) (not (tptp.v3_struct_0 C)) (tptp.v3_rlvect_1 C) (tptp.v4_rlvect_1 C) (tptp.v5_rlvect_1 C) (tptp.v6_rlvect_1 C) (tptp.v12_vectsp_1 C B) (tptp.l4_vectsp_1 C B) (tptp.m1_subset_1 D (tptp.u1_struct_0 C)) (tptp.m1_vectsp_4 E B C)) (= (tptp.r2_hidden A (tptp.a_4_1_vectsp_4 B C D E)) (exists ((F $$unsorted)) (and (tptp.m1_subset_1 F (tptp.u1_struct_0 C)) (= A (tptp.k4_rlvect_1 C D F)) (tptp.r1_rlvect_1 E F)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A) (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v12_vectsp_1 B A) (tptp.l4_vectsp_1 B A)) (not (tptp.v1_xboole_0 (tptp.k3_vectsp_5 A B))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v12_vectsp_1 B A) (tptp.l4_vectsp_1 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_vectsp_4 C A B) (forall ((D $$unsorted)) (=> (tptp.m1_vectsp_4 D A B) (forall ((E $$unsorted)) (=> (and (tptp.v11_vectsp_1 E A) (tptp.m1_vectsp_4 E A B)) (= (= E (tptp.k2_vectsp_5 A B C D)) (= (tptp.u1_struct_0 E) (tptp.k3_xboole_0 (tptp.u1_struct_0 C) (tptp.u1_struct_0 D)))))))))))))) true true true true (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v12_vectsp_1 B A) (tptp.l4_vectsp_1 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_vectsp_4 C A B) (forall ((D $$unsorted)) (=> (tptp.m1_vectsp_4 D A B) (forall ((E $$unsorted)) (= (tptp.r1_rlvect_1 (tptp.k1_vectsp_5 A B C D) E) (exists ((F $$unsorted)) (and (tptp.m1_subset_1 F (tptp.u1_struct_0 B)) (exists ((G $$unsorted)) (and (tptp.m1_subset_1 G (tptp.u1_struct_0 B)) (tptp.r1_rlvect_1 C F) (tptp.r1_rlvect_1 D G) (= E (tptp.k4_rlvect_1 B F G)))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v12_vectsp_1 B A) (tptp.l4_vectsp_1 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_vectsp_4 C A B) (forall ((D $$unsorted)) (=> (tptp.m1_vectsp_4 D A B) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.u1_struct_0 B)) (=> (or (tptp.r1_rlvect_1 C E) (tptp.r1_rlvect_1 D E)) (tptp.r1_rlvect_1 (tptp.k1_vectsp_5 A B C D) E)))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v12_vectsp_1 B A) (tptp.l4_vectsp_1 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_vectsp_4 C A B) (forall ((D $$unsorted)) (=> (tptp.m1_vectsp_4 D A B) (forall ((E $$unsorted)) (= (tptp.r1_rlvect_1 (tptp.k2_vectsp_5 A B C D) E) (and (tptp.r1_rlvect_1 C E) (tptp.r1_rlvect_1 D E)))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v12_vectsp_1 B A) (tptp.l4_vectsp_1 B A)) (forall ((C $$unsorted)) (=> (and (tptp.v11_vectsp_1 C A) (tptp.m1_vectsp_4 C A B)) (= (tptp.k1_vectsp_5 A B C C) C))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v12_vectsp_1 B A) (tptp.l4_vectsp_1 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_vectsp_4 C A B) (forall ((D $$unsorted)) (=> (tptp.m1_vectsp_4 D A B) (= (tptp.k1_vectsp_5 A B C D) (tptp.k1_vectsp_5 A B D C)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v12_vectsp_1 B A) (tptp.l4_vectsp_1 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_vectsp_4 C A B) (forall ((D $$unsorted)) (=> (tptp.m1_vectsp_4 D A B) (forall ((E $$unsorted)) (=> (tptp.m1_vectsp_4 E A B) (= (tptp.k1_vectsp_5 A B C (tptp.k1_vectsp_5 A B D E)) (tptp.k1_vectsp_5 A B (tptp.k1_vectsp_5 A B C D) E)))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v12_vectsp_1 B A) (tptp.l4_vectsp_1 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_vectsp_4 C A B) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k1_vectsp_5 A B C D))) (=> (tptp.m1_vectsp_4 D A B) (and (tptp.m1_vectsp_4 C A _let_1) (tptp.m1_vectsp_4 D A _let_1))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v12_vectsp_1 B A) (tptp.l4_vectsp_1 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_vectsp_4 C A B) (forall ((D $$unsorted)) (=> (and (tptp.v11_vectsp_1 D A) (tptp.m1_vectsp_4 D A B)) (= (tptp.m1_vectsp_4 C A D) (= (tptp.k1_vectsp_5 A B C D) D)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v12_vectsp_1 B A) (tptp.l4_vectsp_1 B A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k1_vectsp_4 A B))) (=> (and (tptp.v11_vectsp_1 C A) (tptp.m1_vectsp_4 C A B)) (and (= (tptp.k1_vectsp_5 A B _let_1 C) C) (= (tptp.k1_vectsp_5 A B C _let_1) C))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.g4_vectsp_1 A (tptp.u1_struct_0 B) (tptp.u1_rlvect_1 B) (tptp.u2_struct_0 B) (tptp.u2_vectsp_1 A B)))) (let ((_let_2 (tptp.k1_vectsp_4 A B))) (let ((_let_3 (tptp.k2_vectsp_4 A B))) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v12_vectsp_1 B A) (tptp.l4_vectsp_1 B A)) (and (= (tptp.k1_vectsp_5 A B _let_2 _let_3) _let_1) (= (tptp.k1_vectsp_5 A B _let_3 _let_2) _let_1))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v12_vectsp_1 B A) (tptp.l4_vectsp_1 B A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.g4_vectsp_1 A (tptp.u1_struct_0 B) (tptp.u1_rlvect_1 B) (tptp.u2_struct_0 B) (tptp.u2_vectsp_1 A B)))) (let ((_let_2 (tptp.k2_vectsp_4 A B))) (=> (tptp.m1_vectsp_4 C A B) (and (= (tptp.k1_vectsp_5 A B _let_2 C) _let_1) (= (tptp.k1_vectsp_5 A B C _let_2) _let_1)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k2_vectsp_4 A B))) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v11_vectsp_1 B A) (tptp.v12_vectsp_1 B A) (tptp.l4_vectsp_1 B A)) (= (tptp.k1_vectsp_5 A B _let_1 _let_1) B)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v12_vectsp_1 B A) (tptp.l4_vectsp_1 B A)) (forall ((C $$unsorted)) (=> (and (tptp.v11_vectsp_1 C A) (tptp.m1_vectsp_4 C A B)) (= (tptp.k2_vectsp_5 A B C C) C))))))) true (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v12_vectsp_1 B A) (tptp.l4_vectsp_1 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_vectsp_4 C A B) (forall ((D $$unsorted)) (=> (tptp.m1_vectsp_4 D A B) (forall ((E $$unsorted)) (=> (tptp.m1_vectsp_4 E A B) (= (tptp.k2_vectsp_5 A B C (tptp.k2_vectsp_5 A B D E)) (tptp.k2_vectsp_5 A B (tptp.k2_vectsp_5 A B C D) E)))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v12_vectsp_1 B A) (tptp.l4_vectsp_1 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_vectsp_4 C A B) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k2_vectsp_5 A B C D))) (=> (tptp.m1_vectsp_4 D A B) (and (tptp.m1_vectsp_4 _let_1 A C) (tptp.m1_vectsp_4 _let_1 A D))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v12_vectsp_1 B A) (tptp.l4_vectsp_1 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_vectsp_4 C A B) (and (forall ((D $$unsorted)) (=> (and (tptp.v11_vectsp_1 D A) (tptp.m1_vectsp_4 D A B)) (=> (tptp.m1_vectsp_4 D A C) (= (tptp.k2_vectsp_5 A B D C) D)))) (forall ((D $$unsorted)) (=> (tptp.m1_vectsp_4 D A B) (=> (= (tptp.k2_vectsp_5 A B D C) D) (tptp.m1_vectsp_4 D A C))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v12_vectsp_1 B A) (tptp.l4_vectsp_1 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_vectsp_4 C A B) (forall ((D $$unsorted)) (=> (tptp.m1_vectsp_4 D A B) (forall ((E $$unsorted)) (=> (tptp.m1_vectsp_4 E A B) (=> (tptp.m1_vectsp_4 C A D) (tptp.m1_vectsp_4 (tptp.k2_vectsp_5 A B C E) A (tptp.k2_vectsp_5 A B D E))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v12_vectsp_1 B A) (tptp.l4_vectsp_1 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_vectsp_4 C A B) (forall ((D $$unsorted)) (=> (tptp.m1_vectsp_4 D A B) (forall ((E $$unsorted)) (=> (tptp.m1_vectsp_4 E A B) (=> (tptp.m1_vectsp_4 C A D) (tptp.m1_vectsp_4 (tptp.k2_vectsp_5 A B C E) A D)))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v12_vectsp_1 B A) (tptp.l4_vectsp_1 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_vectsp_4 C A B) (forall ((D $$unsorted)) (=> (tptp.m1_vectsp_4 D A B) (forall ((E $$unsorted)) (=> (tptp.m1_vectsp_4 E A B) (=> (and (tptp.m1_vectsp_4 C A D) (tptp.m1_vectsp_4 C A E)) (tptp.m1_vectsp_4 C A (tptp.k2_vectsp_5 A B D E))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v12_vectsp_1 B A) (tptp.l4_vectsp_1 B A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k1_vectsp_4 A B))) (=> (tptp.m1_vectsp_4 C A B) (and (= (tptp.k2_vectsp_5 A B _let_1 C) _let_1) (= (tptp.k2_vectsp_5 A B C _let_1) _let_1))))))))) true (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v12_vectsp_1 B A) (tptp.l4_vectsp_1 B A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k2_vectsp_4 A B))) (=> (and (tptp.v11_vectsp_1 C A) (tptp.m1_vectsp_4 C A B)) (and (= (tptp.k2_vectsp_5 A B _let_1 C) C) (= (tptp.k2_vectsp_5 A B C _let_1) C))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k2_vectsp_4 A B))) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v11_vectsp_1 B A) (tptp.v12_vectsp_1 B A) (tptp.l4_vectsp_1 B A)) (= (tptp.k2_vectsp_5 A B _let_1 _let_1) B)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v12_vectsp_1 B A) (tptp.l4_vectsp_1 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_vectsp_4 C A B) (forall ((D $$unsorted)) (=> (tptp.m1_vectsp_4 D A B) (tptp.m1_vectsp_4 (tptp.k2_vectsp_5 A B C D) A (tptp.k1_vectsp_5 A B C D)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v12_vectsp_1 B A) (tptp.l4_vectsp_1 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_vectsp_4 C A B) (forall ((D $$unsorted)) (=> (and (tptp.v11_vectsp_1 D A) (tptp.m1_vectsp_4 D A B)) (= (tptp.k1_vectsp_5 A B (tptp.k2_vectsp_5 A B C D) D) D))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v12_vectsp_1 B A) (tptp.l4_vectsp_1 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_vectsp_4 C A B) (forall ((D $$unsorted)) (=> (and (tptp.v11_vectsp_1 D A) (tptp.m1_vectsp_4 D A B)) (= (tptp.k2_vectsp_5 A B D (tptp.k1_vectsp_5 A B D C)) D))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v12_vectsp_1 B A) (tptp.l4_vectsp_1 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_vectsp_4 C A B) (forall ((D $$unsorted)) (=> (tptp.m1_vectsp_4 D A B) (forall ((E $$unsorted)) (=> (tptp.m1_vectsp_4 E A B) (tptp.m1_vectsp_4 (tptp.k1_vectsp_5 A B (tptp.k2_vectsp_5 A B C D) (tptp.k2_vectsp_5 A B D E)) A (tptp.k2_vectsp_5 A B D (tptp.k1_vectsp_5 A B C E))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v12_vectsp_1 B A) (tptp.l4_vectsp_1 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_vectsp_4 C A B) (forall ((D $$unsorted)) (=> (tptp.m1_vectsp_4 D A B) (forall ((E $$unsorted)) (=> (tptp.m1_vectsp_4 E A B) (=> (tptp.m1_vectsp_4 C A D) (= (tptp.k2_vectsp_5 A B D (tptp.k1_vectsp_5 A B C E)) (tptp.k1_vectsp_5 A B (tptp.k2_vectsp_5 A B C D) (tptp.k2_vectsp_5 A B D E)))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v12_vectsp_1 B A) (tptp.l4_vectsp_1 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_vectsp_4 C A B) (forall ((D $$unsorted)) (=> (tptp.m1_vectsp_4 D A B) (forall ((E $$unsorted)) (=> (tptp.m1_vectsp_4 E A B) (tptp.m1_vectsp_4 (tptp.k1_vectsp_5 A B C (tptp.k2_vectsp_5 A B D E)) A (tptp.k2_vectsp_5 A B (tptp.k1_vectsp_5 A B D C) (tptp.k1_vectsp_5 A B C E))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v12_vectsp_1 B A) (tptp.l4_vectsp_1 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_vectsp_4 C A B) (forall ((D $$unsorted)) (=> (tptp.m1_vectsp_4 D A B) (forall ((E $$unsorted)) (=> (tptp.m1_vectsp_4 E A B) (=> (tptp.m1_vectsp_4 C A D) (= (tptp.k1_vectsp_5 A B D (tptp.k2_vectsp_5 A B C E)) (tptp.k2_vectsp_5 A B (tptp.k1_vectsp_5 A B C D) (tptp.k1_vectsp_5 A B D E)))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v12_vectsp_1 B A) (tptp.l4_vectsp_1 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_vectsp_4 C A B) (forall ((D $$unsorted)) (=> (tptp.m1_vectsp_4 D A B) (forall ((E $$unsorted)) (=> (and (tptp.v11_vectsp_1 E A) (tptp.m1_vectsp_4 E A B)) (=> (tptp.m1_vectsp_4 E A C) (= (tptp.k1_vectsp_5 A B E (tptp.k2_vectsp_5 A B D C)) (tptp.k2_vectsp_5 A B (tptp.k1_vectsp_5 A B E D) C))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v12_vectsp_1 B A) (tptp.l4_vectsp_1 B A)) (forall ((C $$unsorted)) (=> (and (tptp.v11_vectsp_1 C A) (tptp.m1_vectsp_4 C A B)) (forall ((D $$unsorted)) (=> (and (tptp.v11_vectsp_1 D A) (tptp.m1_vectsp_4 D A B)) (= (= (tptp.k1_vectsp_5 A B C D) D) (= (tptp.k2_vectsp_5 A B C D) C)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v12_vectsp_1 B A) (tptp.l4_vectsp_1 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_vectsp_4 C A B) (forall ((D $$unsorted)) (=> (and (tptp.v11_vectsp_1 D A) (tptp.m1_vectsp_4 D A B)) (forall ((E $$unsorted)) (=> (and (tptp.v11_vectsp_1 E A) (tptp.m1_vectsp_4 E A B)) (=> (tptp.m1_vectsp_4 C A D) (tptp.m1_vectsp_4 (tptp.k1_vectsp_5 A B C E) A (tptp.k1_vectsp_5 A B D E))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v12_vectsp_1 B A) (tptp.l4_vectsp_1 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_vectsp_4 C A B) (forall ((D $$unsorted)) (=> (tptp.m1_vectsp_4 D A B) (forall ((E $$unsorted)) (=> (tptp.m1_vectsp_4 E A B) (=> (tptp.m1_vectsp_4 C A D) (tptp.m1_vectsp_4 C A (tptp.k1_vectsp_5 A B D E))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v12_vectsp_1 B A) (tptp.l4_vectsp_1 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_vectsp_4 C A B) (forall ((D $$unsorted)) (=> (tptp.m1_vectsp_4 D A B) (forall ((E $$unsorted)) (=> (tptp.m1_vectsp_4 E A B) (=> (and (tptp.m1_vectsp_4 C A D) (tptp.m1_vectsp_4 E A D)) (tptp.m1_vectsp_4 (tptp.k1_vectsp_5 A B C E) A D)))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v12_vectsp_1 B A) (tptp.l4_vectsp_1 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_vectsp_4 C A B) (forall ((D $$unsorted)) (let ((_let_1 (tptp.m1_vectsp_4 D A C))) (let ((_let_2 (tptp.m1_vectsp_4 C A D))) (=> (tptp.m1_vectsp_4 D A B) (and (not (and (exists ((E $$unsorted)) (and (tptp.m1_vectsp_4 E A B) (= (tptp.u1_struct_0 E) (tptp.k2_xboole_0 (tptp.u1_struct_0 C) (tptp.u1_struct_0 D))))) (not _let_2) (not _let_1))) (not (and (or _let_2 _let_1) (forall ((E $$unsorted)) (=> (tptp.m1_vectsp_4 E A B) (not (= (tptp.u1_struct_0 E) (tptp.k2_xboole_0 (tptp.u1_struct_0 C) (tptp.u1_struct_0 D))))))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v12_vectsp_1 B A) (tptp.l4_vectsp_1 B A)) (forall ((C $$unsorted)) (= (= C (tptp.k3_vectsp_5 A B)) (forall ((D $$unsorted)) (= (tptp.r2_hidden D C) (exists ((E $$unsorted)) (and (tptp.v11_vectsp_1 E A) (tptp.m1_vectsp_4 E A B) (= E D))))))))))) true true (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v11_vectsp_1 B A) (tptp.v12_vectsp_1 B A) (tptp.l4_vectsp_1 B A)) (tptp.r2_hidden B (tptp.k3_vectsp_5 A B)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v12_vectsp_1 B A) (tptp.l4_vectsp_1 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_vectsp_4 C A B) (forall ((D $$unsorted)) (=> (tptp.m1_vectsp_4 D A B) (= (tptp.r1_vectsp_5 A B C D) (and (= (tptp.g4_vectsp_1 A (tptp.u1_struct_0 B) (tptp.u1_rlvect_1 B) (tptp.u2_struct_0 B) (tptp.u2_vectsp_1 A B)) (tptp.k1_vectsp_5 A B C D)) (= (tptp.k2_vectsp_5 A B C D) (tptp.k1_vectsp_4 A B)))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v7_group_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.v9_vectsp_1 A) (not (tptp.v10_vectsp_1 A)) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v12_vectsp_1 B A) (tptp.l4_vectsp_1 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_vectsp_4 C A B) (forall ((D $$unsorted)) (=> (tptp.m1_vectsp_4 D A B) (= (tptp.m1_vectsp_5 D A B C) (tptp.r1_vectsp_5 A B D C)))))))))) true true (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v7_group_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.v9_vectsp_1 A) (not (tptp.v10_vectsp_1 A)) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v12_vectsp_1 B A) (tptp.l4_vectsp_1 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_vectsp_4 C A B) (forall ((D $$unsorted)) (=> (tptp.m1_vectsp_4 D A B) (=> (tptp.r1_vectsp_5 A B C D) (tptp.m1_vectsp_5 D A B C)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v7_group_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.v9_vectsp_1 A) (not (tptp.v10_vectsp_1 A)) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v12_vectsp_1 B A) (tptp.l4_vectsp_1 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_vectsp_4 C A B) (forall ((D $$unsorted)) (=> (tptp.m1_vectsp_5 D A B C) (and (tptp.r1_vectsp_5 A B D C) (tptp.r1_vectsp_5 A B C D)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v7_group_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.v9_vectsp_1 A) (not (tptp.v10_vectsp_1 A)) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v12_vectsp_1 B A) (tptp.l4_vectsp_1 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_vectsp_4 C A B) (forall ((D $$unsorted)) (let ((_let_1 (tptp.g4_vectsp_1 A (tptp.u1_struct_0 B) (tptp.u1_rlvect_1 B) (tptp.u2_struct_0 B) (tptp.u2_vectsp_1 A B)))) (=> (tptp.m1_vectsp_5 D A B C) (and (= (tptp.k1_vectsp_5 A B C D) _let_1) (= (tptp.k1_vectsp_5 A B D C) _let_1))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v7_group_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.v9_vectsp_1 A) (not (tptp.v10_vectsp_1 A)) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v12_vectsp_1 B A) (tptp.l4_vectsp_1 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_vectsp_4 C A B) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k1_vectsp_4 A B))) (=> (tptp.m1_vectsp_5 D A B C) (and (= (tptp.k2_vectsp_5 A B C D) _let_1) (= (tptp.k2_vectsp_5 A B D C) _let_1))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v12_vectsp_1 B A) (tptp.l4_vectsp_1 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_vectsp_4 C A B) (forall ((D $$unsorted)) (=> (tptp.m1_vectsp_4 D A B) (=> (tptp.r1_vectsp_5 A B C D) (tptp.r1_vectsp_5 A B D C)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k1_vectsp_4 A B))) (let ((_let_2 (tptp.k2_vectsp_4 A B))) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v12_vectsp_1 B A) (tptp.l4_vectsp_1 B A)) (and (tptp.r1_vectsp_5 A B _let_1 _let_2) (tptp.r1_vectsp_5 A B _let_2 _let_1)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v7_group_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.v9_vectsp_1 A) (not (tptp.v10_vectsp_1 A)) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v12_vectsp_1 B A) (tptp.l4_vectsp_1 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_vectsp_4 C A B) (forall ((D $$unsorted)) (=> (tptp.m1_vectsp_5 D A B C) (tptp.m1_vectsp_5 C A B D))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v7_group_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.v9_vectsp_1 A) (not (tptp.v10_vectsp_1 A)) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k1_vectsp_4 A B))) (let ((_let_2 (tptp.k2_vectsp_4 A B))) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v12_vectsp_1 B A) (tptp.l4_vectsp_1 B A)) (and (tptp.m1_vectsp_5 _let_1 A B _let_2) (tptp.m1_vectsp_5 _let_2 A B _let_1)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v12_vectsp_1 B A) (tptp.l4_vectsp_1 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_vectsp_4 C A B) (forall ((D $$unsorted)) (=> (tptp.m1_vectsp_4 D A B) (forall ((E $$unsorted)) (=> (tptp.m2_vectsp_4 E A B C) (forall ((F $$unsorted)) (=> (tptp.m2_vectsp_4 F A B D) (=> (not (tptp.r1_xboole_0 E F)) (tptp.m2_vectsp_4 (tptp.k5_subset_1 (tptp.u1_struct_0 B) E F) A B (tptp.k2_vectsp_5 A B C D))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v12_vectsp_1 B A) (tptp.l4_vectsp_1 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_vectsp_4 C A B) (forall ((D $$unsorted)) (=> (tptp.m1_vectsp_4 D A B) (= (tptp.r1_vectsp_5 A B C D) (forall ((E $$unsorted)) (=> (tptp.m2_vectsp_4 E A B C) (forall ((F $$unsorted)) (=> (tptp.m2_vectsp_4 F A B D) (exists ((G $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (and (tptp.m1_subset_1 G _let_1) (= (tptp.k5_subset_1 _let_1 E F) (tptp.k6_domain_1 _let_1 G)))))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v11_vectsp_1 B A) (tptp.v12_vectsp_1 B A) (tptp.l4_vectsp_1 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_vectsp_4 C A B) (forall ((D $$unsorted)) (=> (tptp.m1_vectsp_4 D A B) (= (= (tptp.k1_vectsp_5 A B C D) B) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.u1_struct_0 B)) (exists ((F $$unsorted)) (and (tptp.m1_subset_1 F (tptp.u1_struct_0 B)) (exists ((G $$unsorted)) (and (tptp.m1_subset_1 G (tptp.u1_struct_0 B)) (tptp.r1_rlvect_1 C F) (tptp.r1_rlvect_1 D G) (= E (tptp.k4_rlvect_1 B F G))))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v12_vectsp_1 B A) (tptp.l4_vectsp_1 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_vectsp_4 C A B) (forall ((D $$unsorted)) (=> (tptp.m1_vectsp_4 D A B) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.u1_struct_0 B)) (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F (tptp.u1_struct_0 B)) (forall ((G $$unsorted)) (=> (tptp.m1_subset_1 G (tptp.u1_struct_0 B)) (forall ((H $$unsorted)) (=> (tptp.m1_subset_1 H (tptp.u1_struct_0 B)) (forall ((I $$unsorted)) (=> (tptp.m1_subset_1 I (tptp.u1_struct_0 B)) (=> (and (tptp.r1_vectsp_5 A B C D) (= E (tptp.k4_rlvect_1 B F G)) (= E (tptp.k4_rlvect_1 B H I)) (tptp.r1_rlvect_1 C F) (tptp.r1_rlvect_1 C H) (tptp.r1_rlvect_1 D G) (tptp.r1_rlvect_1 D I)) (and (= F H) (= G I))))))))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v12_vectsp_1 B A) (tptp.l4_vectsp_1 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_vectsp_4 C A B) (forall ((D $$unsorted)) (=> (tptp.m1_vectsp_4 D A B) (=> (= B (tptp.k1_vectsp_5 A B C D)) (or (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.u1_struct_0 B)) (exists ((F $$unsorted)) (and (tptp.m1_subset_1 F (tptp.u1_struct_0 B)) (exists ((G $$unsorted)) (and (tptp.m1_subset_1 G (tptp.u1_struct_0 B)) (exists ((H $$unsorted)) (and (tptp.m1_subset_1 H (tptp.u1_struct_0 B)) (exists ((I $$unsorted)) (and (tptp.m1_subset_1 I (tptp.u1_struct_0 B)) (= E (tptp.k4_rlvect_1 B F G)) (= E (tptp.k4_rlvect_1 B H I)) (tptp.r1_rlvect_1 C F) (tptp.r1_rlvect_1 C H) (tptp.r1_rlvect_1 D G) (tptp.r1_rlvect_1 D I) (not (and (= F H) (= G I))))))))))))) (tptp.r1_vectsp_5 A B C D))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v12_vectsp_1 B A) (tptp.l4_vectsp_1 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 B)) (forall ((D $$unsorted)) (=> (tptp.m1_vectsp_4 D A B) (forall ((E $$unsorted)) (=> (tptp.m1_vectsp_4 E A B) (=> (tptp.r1_vectsp_5 A B D E) (forall ((F $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.k3_domain_1 _let_1 _let_1 F))) (let ((_let_3 (tptp.k2_domain_1 _let_1 _let_1 F))) (=> (tptp.m1_subset_1 F (tptp.k2_zfmisc_1 _let_1 _let_1)) (= (= F (tptp.k4_vectsp_5 A B C D E)) (and (= C (tptp.k4_rlvect_1 B _let_3 _let_2)) (tptp.r1_rlvect_1 D _let_3) (tptp.r1_rlvect_1 E _let_2))))))))))))))))))) true true true true (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v12_vectsp_1 B A) (tptp.l4_vectsp_1 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_vectsp_4 C A B) (forall ((D $$unsorted)) (=> (tptp.m1_vectsp_4 D A B) (forall ((E $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (=> (tptp.m1_subset_1 E _let_1) (=> (tptp.r1_vectsp_5 A B C D) (= (tptp.k2_domain_1 _let_1 _let_1 (tptp.k4_vectsp_5 A B E C D)) (tptp.k3_domain_1 _let_1 _let_1 (tptp.k4_vectsp_5 A B E D C))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v12_vectsp_1 B A) (tptp.l4_vectsp_1 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_vectsp_4 C A B) (forall ((D $$unsorted)) (=> (tptp.m1_vectsp_4 D A B) (forall ((E $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (=> (tptp.m1_subset_1 E _let_1) (=> (tptp.r1_vectsp_5 A B C D) (= (tptp.k3_domain_1 _let_1 _let_1 (tptp.k4_vectsp_5 A B E C D)) (tptp.k2_domain_1 _let_1 _let_1 (tptp.k4_vectsp_5 A B E D C))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v7_group_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.v9_vectsp_1 A) (not (tptp.v10_vectsp_1 A)) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v12_vectsp_1 B A) (tptp.l4_vectsp_1 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_vectsp_4 C A B) (forall ((D $$unsorted)) (=> (tptp.m1_vectsp_5 D A B C) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.u1_struct_0 B)) (forall ((F $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.k3_domain_1 _let_1 _let_1 F))) (let ((_let_3 (tptp.k2_domain_1 _let_1 _let_1 F))) (=> (tptp.m1_subset_1 F (tptp.k2_zfmisc_1 _let_1 _let_1)) (=> (and (= (tptp.k4_rlvect_1 B _let_3 _let_2) E) (tptp.r1_rlvect_1 C _let_3) (tptp.r1_rlvect_1 D _let_2)) (= F (tptp.k4_vectsp_5 A B E C D)))))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v7_group_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.v9_vectsp_1 A) (not (tptp.v10_vectsp_1 A)) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v12_vectsp_1 B A) (tptp.l4_vectsp_1 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_vectsp_4 C A B) (forall ((D $$unsorted)) (=> (tptp.m1_vectsp_5 D A B C) (forall ((E $$unsorted)) (let ((_let_1 (tptp.k4_vectsp_5 A B E C D))) (let ((_let_2 (tptp.u1_struct_0 B))) (=> (tptp.m1_subset_1 E _let_2) (= (tptp.k4_rlvect_1 B (tptp.k2_domain_1 _let_2 _let_2 _let_1) (tptp.k3_domain_1 _let_2 _let_2 _let_1)) E))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v7_group_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.v9_vectsp_1 A) (not (tptp.v10_vectsp_1 A)) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v12_vectsp_1 B A) (tptp.l4_vectsp_1 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_vectsp_4 C A B) (forall ((D $$unsorted)) (=> (tptp.m1_vectsp_5 D A B C) (forall ((E $$unsorted)) (let ((_let_1 (tptp.k4_vectsp_5 A B E C D))) (let ((_let_2 (tptp.u1_struct_0 B))) (=> (tptp.m1_subset_1 E _let_2) (and (tptp.r1_rlvect_1 C (tptp.k2_domain_1 _let_2 _let_2 _let_1)) (tptp.r1_rlvect_1 D (tptp.k3_domain_1 _let_2 _let_2 _let_1))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v7_group_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.v9_vectsp_1 A) (not (tptp.v10_vectsp_1 A)) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v12_vectsp_1 B A) (tptp.l4_vectsp_1 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_vectsp_4 C A B) (forall ((D $$unsorted)) (=> (tptp.m1_vectsp_5 D A B C) (forall ((E $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (=> (tptp.m1_subset_1 E _let_1) (= (tptp.k2_domain_1 _let_1 _let_1 (tptp.k4_vectsp_5 A B E C D)) (tptp.k3_domain_1 _let_1 _let_1 (tptp.k4_vectsp_5 A B E D C)))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v7_group_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.v9_vectsp_1 A) (not (tptp.v10_vectsp_1 A)) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v12_vectsp_1 B A) (tptp.l4_vectsp_1 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_vectsp_4 C A B) (forall ((D $$unsorted)) (=> (tptp.m1_vectsp_5 D A B C) (forall ((E $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (=> (tptp.m1_subset_1 E _let_1) (= (tptp.k3_domain_1 _let_1 _let_1 (tptp.k4_vectsp_5 A B E C D)) (tptp.k2_domain_1 _let_1 _let_1 (tptp.k4_vectsp_5 A B E D C)))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v12_vectsp_1 B A) (tptp.l4_vectsp_1 B A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k3_vectsp_5 A B))) (let ((_let_2 (tptp.k2_zfmisc_1 _let_1 _let_1))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.m2_relset_1 C _let_2 _let_1)) (= (= C (tptp.k5_vectsp_5 A B)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k3_vectsp_5 A B)) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.k3_vectsp_5 A B)) (forall ((F $$unsorted)) (=> (tptp.m1_vectsp_4 F A B) (forall ((G $$unsorted)) (let ((_let_1 (tptp.k3_vectsp_5 A B))) (=> (tptp.m1_vectsp_4 G A B) (=> (and (= D F) (= E G)) (= (tptp.k2_binop_1 _let_1 _let_1 _let_1 C D E) (tptp.k1_vectsp_5 A B F G))))))))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v12_vectsp_1 B A) (tptp.l4_vectsp_1 B A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k3_vectsp_5 A B))) (let ((_let_2 (tptp.k2_zfmisc_1 _let_1 _let_1))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.m2_relset_1 C _let_2 _let_1)) (= (= C (tptp.k6_vectsp_5 A B)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k3_vectsp_5 A B)) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.k3_vectsp_5 A B)) (forall ((F $$unsorted)) (=> (tptp.m1_vectsp_4 F A B) (forall ((G $$unsorted)) (let ((_let_1 (tptp.k3_vectsp_5 A B))) (=> (tptp.m1_vectsp_4 G A B) (=> (and (= D F) (= E G)) (= (tptp.k2_binop_1 _let_1 _let_1 _let_1 C D E) (tptp.k2_vectsp_5 A B F G))))))))))))))))))))) true true true true (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.g3_lattices (tptp.k3_vectsp_5 A B) (tptp.k5_vectsp_5 A B) (tptp.k6_vectsp_5 A B)))) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v12_vectsp_1 B A) (tptp.l4_vectsp_1 B A)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v10_lattices _let_1) (tptp.l3_lattices _let_1))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.g3_lattices (tptp.k3_vectsp_5 A B) (tptp.k5_vectsp_5 A B) (tptp.k6_vectsp_5 A B)))) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v12_vectsp_1 B A) (tptp.l4_vectsp_1 B A)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v10_lattices _let_1) (tptp.v13_lattices _let_1) (tptp.l3_lattices _let_1))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.g3_lattices (tptp.k3_vectsp_5 A B) (tptp.k5_vectsp_5 A B) (tptp.k6_vectsp_5 A B)))) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v12_vectsp_1 B A) (tptp.l4_vectsp_1 B A)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v10_lattices _let_1) (tptp.v14_lattices _let_1) (tptp.l3_lattices _let_1))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.g3_lattices (tptp.k3_vectsp_5 A B) (tptp.k5_vectsp_5 A B) (tptp.k6_vectsp_5 A B)))) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v12_vectsp_1 B A) (tptp.l4_vectsp_1 B A)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v10_lattices _let_1) (tptp.v15_lattices _let_1) (tptp.l3_lattices _let_1))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.g3_lattices (tptp.k3_vectsp_5 A B) (tptp.k5_vectsp_5 A B) (tptp.k6_vectsp_5 A B)))) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v12_vectsp_1 B A) (tptp.l4_vectsp_1 B A)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v10_lattices _let_1) (tptp.v12_lattices _let_1) (tptp.l3_lattices _let_1))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v7_group_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.v9_vectsp_1 A) (not (tptp.v10_vectsp_1 A)) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.g3_lattices (tptp.k3_vectsp_5 A B) (tptp.k5_vectsp_5 A B) (tptp.k6_vectsp_5 A B)))) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v12_vectsp_1 B A) (tptp.l4_vectsp_1 B A)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v10_lattices _let_1) (tptp.v15_lattices _let_1) (tptp.v16_lattices _let_1) (tptp.l3_lattices _let_1))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v7_group_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.v9_vectsp_1 A) (not (tptp.v10_vectsp_1 A)) (tptp.l3_vectsp_1 A) (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v12_vectsp_1 B A) (tptp.l4_vectsp_1 B A) (tptp.m1_vectsp_4 C A B)) (forall ((D $$unsorted)) (=> (tptp.m1_vectsp_5 D A B C) (tptp.m1_vectsp_4 D A B))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v7_group_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.v9_vectsp_1 A) (not (tptp.v10_vectsp_1 A)) (tptp.l3_vectsp_1 A) (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v12_vectsp_1 B A) (tptp.l4_vectsp_1 B A) (tptp.m1_vectsp_4 C A B)) (exists ((D $$unsorted)) (tptp.m1_vectsp_5 D A B C)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k1_vectsp_5 A B C D))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A) (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v12_vectsp_1 B A) (tptp.l4_vectsp_1 B A) (tptp.m1_vectsp_4 C A B) (tptp.m1_vectsp_4 D A B)) (and (tptp.v11_vectsp_1 _let_1 A) (tptp.m1_vectsp_4 _let_1 A B))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k2_vectsp_5 A B C D))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A) (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v12_vectsp_1 B A) (tptp.l4_vectsp_1 B A) (tptp.m1_vectsp_4 C A B) (tptp.m1_vectsp_4 D A B)) (and (tptp.v11_vectsp_1 _let_1 A) (tptp.m1_vectsp_4 _let_1 A B))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A) (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v12_vectsp_1 B A) (tptp.l4_vectsp_1 B A) (tptp.m1_vectsp_4 C A B) (tptp.m1_vectsp_4 D A B)) (= (tptp.k2_vectsp_5 A B C D) (tptp.k2_vectsp_5 A B D C)))) true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A) (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v12_vectsp_1 B A) (tptp.l4_vectsp_1 B A) (tptp.m1_subset_1 C _let_1) (tptp.m1_vectsp_4 D A B) (tptp.m1_vectsp_4 E A B)) (tptp.m1_subset_1 (tptp.k4_vectsp_5 A B C D E) (tptp.k2_zfmisc_1 _let_1 _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k3_vectsp_5 A B))) (let ((_let_2 (tptp.k2_zfmisc_1 _let_1 _let_1))) (let ((_let_3 (tptp.k5_vectsp_5 A B))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A) (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v12_vectsp_1 B A) (tptp.l4_vectsp_1 B A)) (and (tptp.v1_funct_1 _let_3) (tptp.v1_funct_2 _let_3 _let_2 _let_1) (tptp.m2_relset_1 _let_3 _let_2 _let_1))))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k3_vectsp_5 A B))) (let ((_let_2 (tptp.k2_zfmisc_1 _let_1 _let_1))) (let ((_let_3 (tptp.k6_vectsp_5 A B))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A) (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v12_vectsp_1 B A) (tptp.l4_vectsp_1 B A)) (and (tptp.v1_funct_1 _let_3) (tptp.v1_funct_2 _let_3 _let_2 _let_1) (tptp.m2_relset_1 _let_3 _let_2 _let_1))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v12_vectsp_1 B A) (tptp.l4_vectsp_1 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_vectsp_4 C A B) (forall ((D $$unsorted)) (=> (tptp.m1_vectsp_4 D A B) (forall ((E $$unsorted)) (=> (and (tptp.v11_vectsp_1 E A) (tptp.m1_vectsp_4 E A B)) (= (= E (tptp.k1_vectsp_5 A B C D)) (= (tptp.u1_struct_0 E) (tptp.a_4_0_vectsp_5 A B C D))))))))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v4_group_1 B) (tptp.v7_vectsp_1 B) (tptp.v8_vectsp_1 B) (tptp.l3_vectsp_1 B) (not (tptp.v3_struct_0 C)) (tptp.v3_rlvect_1 C) (tptp.v4_rlvect_1 C) (tptp.v5_rlvect_1 C) (tptp.v6_rlvect_1 C) (tptp.v12_vectsp_1 C B) (tptp.l4_vectsp_1 C B) (tptp.m1_vectsp_4 D B C) (tptp.m1_vectsp_4 E B C)) (= (tptp.r2_hidden A (tptp.a_4_0_vectsp_5 B C D E)) (exists ((F $$unsorted) (G $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 C))) (and (tptp.m1_subset_1 F _let_1) (tptp.m1_subset_1 G _let_1) (= A (tptp.k4_rlvect_1 C F G)) (tptp.r1_rlvect_1 D F) (tptp.r1_rlvect_1 E G))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (not (tptp.v1_xboole_0 (tptp.k1_group_3 A))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (exists ((B $$unsorted)) (and (tptp.m1_group_2 B A) (not (tptp.v3_struct_0 B)) (tptp.v1_group_1 B) (tptp.v2_group_1 B) (tptp.v3_group_1 B) (tptp.v4_group_1 B) (tptp.v1_group_3 B A))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k3_group_1 A C))) (let ((_let_2 (tptp.k1_group_1 A _let_1 C))) (let ((_let_3 (tptp.k1_group_1 A C _let_1))) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (and (= (tptp.k1_group_1 A (tptp.k1_group_1 A B C) _let_1) B) (= (tptp.k1_group_1 A (tptp.k1_group_1 A B _let_1) C) B) (= (tptp.k1_group_1 A _let_2 B) B) (= (tptp.k1_group_1 A _let_3 B) B) (= (tptp.k1_group_1 A B _let_3) B) (= (tptp.k1_group_1 A B _let_2) B) (= (tptp.k1_group_1 A _let_1 (tptp.k1_group_1 A C B)) B) (= (tptp.k1_group_1 A C (tptp.k1_group_1 A _let_1 B)) B))))))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.l1_group_1 A))) (let ((_let_2 (tptp.v4_group_1 A))) (let ((_let_3 (tptp.v3_group_1 A))) (let ((_let_4 (not (tptp.v3_struct_0 A)))) (=> (and _let_4 _let_3 _let_2 _let_1) (= (and _let_4 _let_3 _let_2 (tptp.v7_group_1 A) _let_1) (tptp.v1_binop_1 (tptp.u1_group_1 A) (tptp.u1_struct_0 A))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (tptp.v7_group_1 (tptp.k5_group_2 A)))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (and (tptp.r1_tarski B C) (tptp.r1_tarski D E)) (tptp.r1_tarski (tptp.k2_group_2 A B D) (tptp.k2_group_2 A C E))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (tptp.r1_tarski C D) (and (tptp.r1_tarski (tptp.k3_group_2 A B C) (tptp.k3_group_2 A B D)) (tptp.r1_tarski (tptp.k4_group_2 A B C) (tptp.k4_group_2 A B D)))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_group_2 C A) (forall ((D $$unsorted)) (=> (tptp.m1_group_2 D A) (=> (tptp.m1_group_2 C D) (and (tptp.r1_tarski (tptp.k12_group_2 A C B) (tptp.k12_group_2 A D B)) (tptp.r1_tarski (tptp.k13_group_2 A C B) (tptp.k13_group_2 A D B)))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_group_2 C A) (= (tptp.k12_group_2 A C B) (tptp.k10_group_2 A C (tptp.k6_domain_1 (tptp.u1_struct_0 A) B))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_group_2 C A) (= (tptp.k13_group_2 A C B) (tptp.k11_group_2 A C (tptp.k6_domain_1 (tptp.u1_struct_0 A) B))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((D $$unsorted)) (=> (tptp.m1_group_2 D A) (= (tptp.k10_group_2 A D (tptp.k3_group_2 A B C)) (tptp.k3_group_2 A B (tptp.k10_group_2 A D C))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((D $$unsorted)) (=> (tptp.m1_group_2 D A) (= (tptp.k10_group_2 A D (tptp.k4_group_2 A B C)) (tptp.k2_group_2 A C (tptp.k12_group_2 A D B))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((D $$unsorted)) (=> (tptp.m1_group_2 D A) (= (tptp.k2_group_2 A (tptp.k12_group_2 A D B) C) (tptp.k3_group_2 A B (tptp.k11_group_2 A D C))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((D $$unsorted)) (=> (tptp.m1_group_2 D A) (= (tptp.k4_group_2 A B (tptp.k10_group_2 A D C)) (tptp.k2_group_2 A C (tptp.k13_group_2 A D B))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((D $$unsorted)) (=> (tptp.m1_group_2 D A) (= (tptp.k2_group_2 A (tptp.k13_group_2 A D B) C) (tptp.k11_group_2 A D (tptp.k3_group_2 A B C))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((D $$unsorted)) (=> (tptp.m1_group_2 D A) (= (tptp.k4_group_2 A B (tptp.k11_group_2 A D C)) (tptp.k11_group_2 A D (tptp.k4_group_2 A B C))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_group_2 C A) (forall ((D $$unsorted)) (=> (tptp.m1_group_2 D A) (= (tptp.k10_group_2 A D (tptp.k13_group_2 A C B)) (tptp.k11_group_2 A C (tptp.k12_group_2 A D B))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (= (= B (tptp.k1_group_3 A)) (forall ((C $$unsorted)) (= (tptp.r2_hidden C B) (and (tptp.v1_group_1 C) (tptp.m1_group_2 C A)))))))) true true (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v1_group_1 A) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (tptp.r2_hidden A (tptp.k1_group_3 A)))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (=> (tptp.v6_group_1 A) (tptp.v1_finset_1 (tptp.k1_group_3 A))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (tptp.k2_group_3 A B C) (tptp.k1_group_1 A (tptp.k1_group_1 A (tptp.k3_group_1 A C) B) C)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k3_group_1 A C))) (let ((_let_2 (tptp.k2_group_3 A B C))) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (and (= _let_2 (tptp.k1_group_1 A (tptp.k1_group_1 A _let_1 B) C)) (= _let_2 (tptp.k1_group_1 A _let_1 (tptp.k1_group_1 A B C)))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (=> (= (tptp.k2_group_3 A B C) (tptp.k2_group_3 A D C)) (= B D)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k2_group_1 A))) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (= (tptp.k2_group_3 A _let_1 B) _let_1)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k2_group_1 A))) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (=> (= (tptp.k2_group_3 A B C) _let_1) (= B _let_1))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (= (tptp.k2_group_3 A B (tptp.k2_group_1 A)) B))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (= (tptp.k2_group_3 A B B) B))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k3_group_1 A B))) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (and (= (tptp.k2_group_3 A B _let_1) B) (= (tptp.k2_group_3 A _let_1 B) _let_1))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (= (tptp.k2_group_3 A B C) B) (= (tptp.k1_group_1 A B C) (tptp.k1_group_1 A C B))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (= (tptp.k2_group_3 A (tptp.k1_group_1 A B C) D) (tptp.k1_group_1 A (tptp.k2_group_3 A B D) (tptp.k2_group_3 A C D))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (= (tptp.k2_group_3 A (tptp.k2_group_3 A B C) D) (tptp.k2_group_3 A B (tptp.k1_group_1 A C D))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k3_group_1 A C))) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (and (= (tptp.k2_group_3 A (tptp.k2_group_3 A B C) _let_1) B) (= (tptp.k2_group_3 A (tptp.k2_group_3 A B _let_1) C) B))))))))) true (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (tptp.k2_group_3 A (tptp.k3_group_1 A B) C) (tptp.k3_group_1 A (tptp.k2_group_3 A B C))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m2_subset_1 D tptp.k1_numbers tptp.k5_numbers) (= (tptp.k2_group_3 A (tptp.k6_group_1 A D B) C) (tptp.k6_group_1 A D (tptp.k2_group_3 A B C))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.v1_int_1 D) (= (tptp.k2_group_3 A (tptp.k6_group_1 A D B) C) (tptp.k6_group_1 A D (tptp.k2_group_3 A B C))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.v7_group_1 A) (tptp.l1_group_1 A)) (= (tptp.k2_group_3 A B C) B)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (=> (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (tptp.k2_group_3 A B C) B))))) (tptp.v7_group_1 A)))) true (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_group_1 B) (tptp.v4_group_1 B) (tptp.l1_group_1 B)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B))) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B))) (= (tptp.r2_hidden A (tptp.k3_group_3 B C D)) (exists ((E $$unsorted)) (and (tptp.m1_subset_1 E (tptp.u1_struct_0 B)) (exists ((F $$unsorted)) (and (tptp.m1_subset_1 F (tptp.u1_struct_0 B)) (= A (tptp.k2_group_3 B E F)) (tptp.r2_hidden E C) (tptp.r2_hidden F D)))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (not (= (tptp.k3_group_3 A B C) tptp.k1_xboole_0)) (and (not (= B tptp.k1_xboole_0)) (not (= C tptp.k1_xboole_0)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (tptp.r1_tarski (tptp.k3_group_3 A B C) (tptp.k2_group_2 A (tptp.k2_group_2 A (tptp.k1_group_2 A C) B) C)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (tptp.r1_tarski (tptp.k3_group_3 A (tptp.k2_group_2 A B C) D) (tptp.k2_group_2 A (tptp.k3_group_3 A B D) (tptp.k3_group_3 A C D))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (tptp.k3_group_3 A (tptp.k3_group_3 A B C) D) (tptp.k3_group_3 A B (tptp.k2_group_2 A C D))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (tptp.k3_group_3 A (tptp.k1_group_2 A B) C) (tptp.k1_group_2 A (tptp.k3_group_3 A B C))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 C _let_1) (= (tptp.k3_group_3 A (tptp.k6_domain_1 _let_1 B) (tptp.k6_domain_1 _let_1 C)) (tptp.k6_domain_1 _let_1 (tptp.k2_group_3 A B C)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 D _let_1) (= (tptp.k3_group_3 A (tptp.k6_domain_1 _let_1 B) (tptp.k7_domain_1 _let_1 C D)) (tptp.k7_domain_1 _let_1 (tptp.k2_group_3 A B C) (tptp.k2_group_3 A B D)))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 D _let_1) (= (tptp.k3_group_3 A (tptp.k7_domain_1 _let_1 B C) (tptp.k6_domain_1 _let_1 D)) (tptp.k7_domain_1 _let_1 (tptp.k2_group_3 A B D) (tptp.k2_group_3 A C D)))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (forall ((E $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 E _let_1) (= (tptp.k3_group_3 A (tptp.k7_domain_1 _let_1 B C) (tptp.k7_domain_1 _let_1 D E)) (tptp.k9_domain_1 _let_1 (tptp.k2_group_3 A B D) (tptp.k2_group_3 A B E) (tptp.k2_group_3 A C D) (tptp.k2_group_3 A C E)))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 C _let_1) (= (tptp.k4_group_3 A B C) (tptp.k3_group_3 A B (tptp.k6_domain_1 _let_1 C)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 C _let_1) (= (tptp.k5_group_3 A B C) (tptp.k3_group_3 A (tptp.k6_domain_1 _let_1 C) B))))))))) true true (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_group_1 B) (tptp.v4_group_1 B) (tptp.l1_group_1 B)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 B)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B))) (= (tptp.r2_hidden A (tptp.k4_group_3 B D C)) (exists ((E $$unsorted)) (and (tptp.m1_subset_1 E (tptp.u1_struct_0 B)) (= A (tptp.k2_group_3 B E C)) (tptp.r2_hidden E D)))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_group_1 B) (tptp.v4_group_1 B) (tptp.l1_group_1 B)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 B)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B))) (= (tptp.r2_hidden A (tptp.k5_group_3 B D C)) (exists ((E $$unsorted)) (and (tptp.m1_subset_1 E (tptp.u1_struct_0 B)) (= A (tptp.k2_group_3 B C E)) (tptp.r2_hidden E D)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (tptp.r1_tarski (tptp.k5_group_3 A C B) (tptp.k2_group_2 A (tptp.k4_group_2 A B (tptp.k1_group_2 A C)) C)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (tptp.k4_group_3 A (tptp.k3_group_3 A C D) B) (tptp.k3_group_3 A C (tptp.k4_group_2 A B D))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (tptp.k3_group_3 A (tptp.k4_group_3 A C B) D) (tptp.k3_group_3 A C (tptp.k3_group_2 A B D))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (tptp.k3_group_3 A (tptp.k5_group_3 A C B) D) (tptp.k5_group_3 A (tptp.k2_group_2 A C D) B)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (tptp.k4_group_3 A (tptp.k4_group_3 A D B) C) (tptp.k4_group_3 A D (tptp.k1_group_1 A B C))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (tptp.k4_group_3 A (tptp.k5_group_3 A D B) C) (tptp.k5_group_3 A (tptp.k4_group_2 A C D) B)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (tptp.k5_group_3 A D (tptp.k2_group_3 A B C)) (tptp.k5_group_3 A (tptp.k3_group_2 A C D) B)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (tptp.k4_group_3 A C B) (tptp.k4_group_2 A B (tptp.k3_group_2 A (tptp.k3_group_1 A B) C))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (tptp.r1_tarski (tptp.k4_group_3 A (tptp.k2_group_2 A C D) B) (tptp.k2_group_2 A (tptp.k4_group_3 A C B) (tptp.k4_group_3 A D B))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (tptp.k4_group_3 A B (tptp.k2_group_1 A)) B))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k2_group_1 A))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 _let_2)) (=> (not (= B tptp.k1_xboole_0)) (= (tptp.k5_group_3 A B _let_1) (tptp.k6_domain_1 _let_2 _let_1))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k3_group_1 A B))) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (and (= (tptp.k4_group_3 A (tptp.k4_group_3 A C B) _let_1) C) (= (tptp.k4_group_3 A (tptp.k4_group_3 A C _let_1) B) C))))))))) true (forall ((A $$unsorted)) (let ((_let_1 (tptp.l1_group_1 A))) (let ((_let_2 (tptp.v4_group_1 A))) (let ((_let_3 (tptp.v3_group_1 A))) (let ((_let_4 (not (tptp.v3_struct_0 A)))) (=> (and _let_4 _let_3 _let_2 _let_1) (= (and _let_4 _let_3 _let_2 (tptp.v7_group_1 A) _let_1) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (not (= C tptp.k1_xboole_0)) (= (tptp.k3_group_3 A B C) B))))))))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.l1_group_1 A))) (let ((_let_2 (tptp.v4_group_1 A))) (let ((_let_3 (tptp.v3_group_1 A))) (let ((_let_4 (not (tptp.v3_struct_0 A)))) (=> (and _let_4 _let_3 _let_2 _let_1) (= (and _let_4 _let_3 _let_2 (tptp.v7_group_1 A) _let_1) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (tptp.k4_group_3 A B C) B)))))))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.l1_group_1 A))) (let ((_let_2 (tptp.v4_group_1 A))) (let ((_let_3 (tptp.v3_group_1 A))) (let ((_let_4 (not (tptp.v3_struct_0 A)))) (=> (and _let_4 _let_3 _let_2 _let_1) (= (and _let_4 _let_3 _let_2 (tptp.v7_group_1 A) _let_1) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 C _let_1) (=> (not (= B tptp.k1_xboole_0)) (= (tptp.k5_group_3 A B C) (tptp.k6_domain_1 _let_1 C))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_group_2 B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (and (tptp.v1_group_1 D) (tptp.m1_group_2 D A)) (= (= D (tptp.k6_group_3 A B C)) (= (tptp.u1_struct_0 D) (tptp.k4_group_3 A (tptp.k7_group_2 A B) C))))))))))) true true (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_group_1 B) (tptp.v4_group_1 B) (tptp.l1_group_1 B)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 B)) (forall ((D $$unsorted)) (=> (tptp.m1_group_2 D B) (= (tptp.r1_rlvect_1 (tptp.k6_group_3 B D C) A) (exists ((E $$unsorted)) (and (tptp.m1_subset_1 E (tptp.u1_struct_0 B)) (= A (tptp.k2_group_3 B E C)) (tptp.r1_rlvect_1 D E)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_group_2 C A) (= (tptp.u1_struct_0 (tptp.k6_group_3 A C B)) (tptp.k4_group_2 A B (tptp.k12_group_2 A C (tptp.k3_group_1 A B)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_group_2 D A) (tptp.r1_group_2 A (tptp.k6_group_3 A (tptp.k6_group_3 A D B) C) (tptp.k6_group_3 A D (tptp.k1_group_1 A B C))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_group_1 B) (tptp.m1_group_2 B A)) (tptp.r1_group_2 A (tptp.k6_group_3 A B (tptp.k2_group_1 A)) B))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k3_group_1 A B))) (=> (and (tptp.v1_group_1 C) (tptp.m1_group_2 C A)) (and (tptp.r1_group_2 A (tptp.k6_group_3 A (tptp.k6_group_3 A C B) _let_1) C) (tptp.r1_group_2 A (tptp.k6_group_3 A (tptp.k6_group_3 A C _let_1) B) C))))))))) true (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_group_2 C A) (forall ((D $$unsorted)) (=> (tptp.m1_group_2 D A) (tptp.r1_group_2 A (tptp.k6_group_3 A (tptp.k9_group_2 A C D) B) (tptp.k9_group_2 A (tptp.k6_group_3 A C B) (tptp.k6_group_3 A D B))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_group_2 C A) (= (tptp.k8_group_1 C) (tptp.k8_group_1 (tptp.k6_group_3 A C B))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_group_2 C A) (= (tptp.v6_group_1 C) (tptp.v6_group_1 (tptp.k6_group_3 A C B))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_group_2 C A) (=> (tptp.v6_group_1 C) (= (tptp.k9_group_1 C) (tptp.k9_group_1 (tptp.k6_group_3 A C B)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k5_group_2 A))) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (tptp.r1_group_2 A (tptp.k6_group_3 A _let_1 B) _let_1)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k5_group_2 A))) (=> (and (tptp.v1_group_1 C) (tptp.m1_group_2 C A)) (=> (tptp.r1_group_2 A (tptp.k6_group_3 A C B) _let_1) (tptp.r1_group_2 A C _let_1))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k6_group_2 A))) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (tptp.r1_group_2 A (tptp.k6_group_3 A _let_1 B) _let_1)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (and (tptp.v1_group_1 C) (tptp.m1_group_2 C A)) (=> (= (tptp.k6_group_3 A C B) A) (= C A)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_group_2 C A) (= (tptp.k16_group_2 A C) (tptp.k16_group_2 A (tptp.k6_group_3 A C B))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_group_2 C A) (=> (tptp.v1_finset_1 (tptp.k14_group_2 A C)) (= (tptp.k17_group_2 A C) (tptp.k17_group_2 A (tptp.k6_group_3 A C B)))))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.l1_group_1 A))) (let ((_let_2 (tptp.v4_group_1 A))) (let ((_let_3 (tptp.v3_group_1 A))) (let ((_let_4 (not (tptp.v3_struct_0 A)))) (=> (and _let_4 _let_3 _let_2 _let_1) (=> (and _let_4 _let_3 _let_2 (tptp.v7_group_1 A) _let_1) (forall ((B $$unsorted)) (=> (and (tptp.v1_group_1 B) (tptp.m1_group_2 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (tptp.r1_group_2 A (tptp.k6_group_3 A B C) B)))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (tptp.r1_group_3 A B C) (exists ((D $$unsorted)) (and (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (= B (tptp.k2_group_3 A C D))))))))))) true (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (tptp.r1_group_3 A B C) (exists ((D $$unsorted)) (and (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (= C (tptp.k2_group_3 A B D))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (tptp.r1_group_3 A B B))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (=> (tptp.r1_group_3 A B C) (tptp.r1_group_3 A C B)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (=> (and (tptp.r2_group_3 A B C) (tptp.r2_group_3 A C D)) (tptp.r2_group_3 A B D)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k2_group_1 A))) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (=> (or (tptp.r2_group_3 A B _let_1) (tptp.r2_group_3 A _let_1 B)) (= B _let_1))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (= (tptp.k7_group_3 A B) (tptp.k5_group_3 A (tptp.k7_group_2 A (tptp.k6_group_2 A)) B)))))) true (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_group_1 B) (tptp.v4_group_1 B) (tptp.l1_group_1 B)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 B)) (= (tptp.r2_hidden A (tptp.k7_group_3 B C)) (exists ((D $$unsorted)) (and (tptp.m1_subset_1 D (tptp.u1_struct_0 B)) (= D A) (tptp.r2_group_3 B C D)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (tptp.r2_hidden B (tptp.k7_group_3 A C)) (tptp.r2_group_3 A B C)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (tptp.r2_hidden (tptp.k2_group_3 A B C) (tptp.k7_group_3 A B)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (tptp.r2_hidden B (tptp.k7_group_3 A B)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (=> (tptp.r2_hidden B (tptp.k7_group_3 A C)) (tptp.r2_hidden C (tptp.k7_group_3 A B))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k7_group_3 A C))) (let ((_let_2 (tptp.k7_group_3 A B))) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (= _let_2 _let_1) (not (tptp.r1_xboole_0 _let_2 _let_1))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k2_group_1 A))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 B _let_2) (= (= (tptp.k7_group_3 A B) (tptp.k6_domain_1 _let_2 _let_1)) (= B _let_1)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k7_group_3 A B))) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (tptp.k2_group_2 A _let_1 C) (tptp.k2_group_2 A C _let_1))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (tptp.r3_group_3 A B C) (exists ((D $$unsorted)) (and (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (= B (tptp.k4_group_3 A C D))))))))))) true (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (tptp.r3_group_3 A B C) (exists ((D $$unsorted)) (and (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (= C (tptp.k4_group_3 A B D))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (tptp.r3_group_3 A B B))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (tptp.r3_group_3 A B C) (tptp.r3_group_3 A C B)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (and (tptp.r4_group_3 A B C) (tptp.r4_group_3 A C D)) (tptp.r4_group_3 A B D)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 C _let_1) (= (tptp.r4_group_3 A (tptp.k6_domain_1 _let_1 B) (tptp.k6_domain_1 _let_1 C)) (tptp.r2_group_3 A B C))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (=> (tptp.m1_group_2 C A) (not (and (tptp.r4_group_3 A B (tptp.k7_group_2 A C)) (forall ((D $$unsorted)) (=> (and (tptp.v1_group_1 D) (tptp.m1_group_2 D A)) (not (= (tptp.u1_struct_0 D) B)))))))))))) true (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_group_1 B) (tptp.v4_group_1 B) (tptp.l1_group_1 B)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B))) (= (tptp.r2_hidden A (tptp.k8_group_3 B C)) (exists ((D $$unsorted)) (and (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B))) (= A D) (tptp.r4_group_3 B C D)))))))) true (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (tptp.r2_hidden B (tptp.k8_group_3 A C)) (tptp.r4_group_3 A B C)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (tptp.r2_hidden (tptp.k4_group_3 A C B) (tptp.k8_group_3 A C)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (tptp.r2_hidden B (tptp.k8_group_3 A B)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (tptp.r2_hidden B (tptp.k8_group_3 A C)) (tptp.r2_hidden C (tptp.k8_group_3 A B))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k8_group_3 A C))) (let ((_let_2 (tptp.k8_group_3 A B))) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (= _let_2 _let_1) (not (tptp.r1_xboole_0 _let_2 _let_1))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (tptp.v6_group_1 A) (tptp.v1_finset_1 (tptp.k8_group_3 A B))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_group_2 B A) (forall ((C $$unsorted)) (=> (tptp.m1_group_2 C A) (= (tptp.r5_group_3 A B C) (exists ((D $$unsorted)) (and (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (= (tptp.g1_group_1 (tptp.u1_struct_0 B) (tptp.u1_group_1 B)) (tptp.k6_group_3 A C D))))))))))) true (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_group_1 B) (tptp.m1_group_2 B A)) (forall ((C $$unsorted)) (=> (and (tptp.v1_group_1 C) (tptp.m1_group_2 C A)) (= (tptp.r5_group_3 A B C) (exists ((D $$unsorted)) (and (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (tptp.r1_group_2 A C (tptp.k6_group_3 A B D))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_group_1 B) (tptp.m1_group_2 B A)) (tptp.r5_group_3 A B B))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_group_1 B) (tptp.m1_group_2 B A)) (forall ((C $$unsorted)) (=> (and (tptp.v1_group_1 C) (tptp.m1_group_2 C A)) (=> (tptp.r5_group_3 A B C) (tptp.r5_group_3 A C B)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_group_2 B A) (forall ((C $$unsorted)) (=> (and (tptp.v1_group_1 C) (tptp.m1_group_2 C A)) (forall ((D $$unsorted)) (=> (and (tptp.v1_group_1 D) (tptp.m1_group_2 D A)) (=> (and (tptp.r6_group_3 A C D) (tptp.r5_group_3 A D B)) (tptp.r5_group_3 A C B)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_group_2 B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.k1_group_3 A))) (= (= C (tptp.k9_group_3 A B)) (forall ((D $$unsorted)) (= (tptp.r2_hidden D C) (exists ((E $$unsorted)) (and (tptp.v1_group_1 E) (tptp.m1_group_2 E A) (= D E) (tptp.r5_group_3 A B E)))))))))))) true true (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_group_1 B) (tptp.v4_group_1 B) (tptp.l1_group_1 B)) (forall ((C $$unsorted)) (=> (tptp.m1_group_2 C B) (=> (tptp.r2_hidden A (tptp.k9_group_3 B C)) (and (tptp.v1_group_1 A) (tptp.m1_group_2 A B))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_group_1 B) (tptp.m1_group_2 B A)) (forall ((C $$unsorted)) (=> (and (tptp.v1_group_1 C) (tptp.m1_group_2 C A)) (= (tptp.r2_hidden B (tptp.k9_group_3 A C)) (tptp.r6_group_3 A B C)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (and (tptp.v1_group_1 C) (tptp.m1_group_2 C A)) (tptp.r2_hidden (tptp.k6_group_3 A C B) (tptp.k9_group_3 A C)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_group_1 B) (tptp.m1_group_2 B A)) (tptp.r2_hidden B (tptp.k9_group_3 A B)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_group_1 B) (tptp.m1_group_2 B A)) (forall ((C $$unsorted)) (=> (and (tptp.v1_group_1 C) (tptp.m1_group_2 C A)) (=> (tptp.r2_hidden B (tptp.k9_group_3 A C)) (tptp.r2_hidden C (tptp.k9_group_3 A B))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_group_1 B) (tptp.m1_group_2 B A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k9_group_3 A C))) (let ((_let_2 (tptp.k9_group_3 A B))) (=> (and (tptp.v1_group_1 C) (tptp.m1_group_2 C A)) (= (= _let_2 _let_1) (not (tptp.r1_xboole_0 _let_2 _let_1))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_group_2 B A) (=> (tptp.v6_group_1 A) (tptp.v1_finset_1 (tptp.k9_group_3 A B))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_group_2 B A) (forall ((C $$unsorted)) (=> (and (tptp.v1_group_1 C) (tptp.m1_group_2 C A)) (= (tptp.r5_group_3 A C B) (tptp.r4_group_3 A (tptp.k7_group_2 A C) (tptp.k7_group_2 A B))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_group_2 B A) (= (tptp.v1_group_3 B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (tptp.k6_group_3 A B C) (tptp.g1_group_1 (tptp.u1_struct_0 B) (tptp.u1_group_1 B)))))))))) true true (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (and (tptp.v1_group_3 (tptp.k5_group_2 A) A) (tptp.v1_group_3 (tptp.k6_group_2 A) A)))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_group_1 B) (tptp.v1_group_3 B A) (tptp.m1_group_2 B A)) (forall ((C $$unsorted)) (=> (and (tptp.v1_group_1 C) (tptp.v1_group_3 C A) (tptp.m1_group_2 C A)) (tptp.v1_group_3 (tptp.k9_group_2 A B C) A))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_group_1 B) (tptp.m1_group_2 B A)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.v7_group_1 A) (tptp.l1_group_1 A)) (tptp.v1_group_3 B A)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.m1_group_2 B A))) (=> _let_1 (= (and (tptp.v1_group_3 B A) _let_1) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (tptp.k12_group_2 A B C) (tptp.k13_group_2 A B C)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.m1_group_2 B A))) (=> _let_1 (= (and (tptp.v1_group_3 B A) _let_1) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (tptp.r1_tarski (tptp.k12_group_2 A B C) (tptp.k13_group_2 A B C)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.m1_group_2 B A))) (=> _let_1 (= (and (tptp.v1_group_3 B A) _let_1) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (tptp.r1_tarski (tptp.k13_group_2 A B C) (tptp.k12_group_2 A B C)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.m1_group_2 B A))) (=> _let_1 (= (and (tptp.v1_group_3 B A) _let_1) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (tptp.k10_group_2 A B C) (tptp.k11_group_2 A B C)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.m1_group_2 B A))) (=> (and (tptp.v1_group_1 B) _let_1) (= (and (tptp.v1_group_3 B A) _let_1) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (tptp.m1_group_2 B (tptp.k6_group_3 A B C)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.m1_group_2 B A))) (=> (and (tptp.v1_group_1 B) _let_1) (= (and (tptp.v1_group_3 B A) _let_1) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (tptp.m1_group_2 (tptp.k6_group_3 A B C) B))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.m1_group_2 B A))) (=> (and (tptp.v1_group_1 B) _let_1) (= (and (tptp.v1_group_3 B A) _let_1) (= (tptp.k9_group_3 A B) (tptp.k1_tarski B)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.m1_group_2 B A))) (=> (and (tptp.v1_group_1 B) _let_1) (= (and (tptp.v1_group_3 B A) _let_1) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (=> (tptp.r1_rlvect_1 B C) (tptp.r1_tarski (tptp.k7_group_3 A C) (tptp.k7_group_2 A B))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_group_1 B) (tptp.v1_group_3 B A) (tptp.m1_group_2 B A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k7_group_2 A B))) (let ((_let_2 (tptp.k7_group_2 A C))) (=> (and (tptp.v1_group_1 C) (tptp.v1_group_3 C A) (tptp.m1_group_2 C A)) (= (tptp.k2_group_2 A _let_1 _let_2) (tptp.k2_group_2 A _let_2 _let_1)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_group_1 B) (tptp.v1_group_3 B A) (tptp.m1_group_2 B A)) (forall ((C $$unsorted)) (=> (and (tptp.v1_group_1 C) (tptp.v1_group_3 C A) (tptp.m1_group_2 C A)) (exists ((D $$unsorted)) (and (tptp.v1_group_1 D) (tptp.v1_group_3 D A) (tptp.m1_group_2 D A) (= (tptp.u1_struct_0 D) (tptp.k2_group_2 A (tptp.k7_group_2 A B) (tptp.k7_group_2 A C))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_group_3 B A) (tptp.m1_group_2 B A)) (= (tptp.k14_group_2 A B) (tptp.k15_group_2 A B)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.m1_group_2 B A))) (=> _let_1 (=> (and (tptp.v1_finset_1 (tptp.k14_group_2 A B)) (= (tptp.k17_group_2 A B) tptp.np__2)) (and (tptp.v1_group_3 B A) _let_1))))))) true true (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_group_1 B) (tptp.v4_group_1 B) (tptp.l1_group_1 B)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B))) (= (tptp.r1_rlvect_1 (tptp.k10_group_3 B C) A) (exists ((D $$unsorted)) (and (tptp.m1_subset_1 D (tptp.u1_struct_0 B)) (= A D) (= (tptp.k4_group_3 B C D) C)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (tptp.k1_card_1 (tptp.k8_group_3 A B)) (tptp.k16_group_2 A (tptp.k10_group_3 A B))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (not (and (or (tptp.v1_finset_1 (tptp.k8_group_3 A B)) (tptp.v1_finset_1 (tptp.k14_group_2 A (tptp.k10_group_3 A B)))) (forall ((C $$unsorted)) (=> (tptp.v1_finset_1 C) (not (and (= C (tptp.k8_group_3 A B)) (= (tptp.k4_card_1 C) (tptp.k17_group_2 A (tptp.k10_group_3 A B))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 B _let_1) (= (tptp.k1_card_1 (tptp.k7_group_3 A B)) (tptp.k16_group_2 A (tptp.k10_group_3 A (tptp.k6_domain_1 _let_1 B))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 B _let_1) (not (and (or (tptp.v1_finset_1 (tptp.k7_group_3 A B)) (tptp.v1_finset_1 (tptp.k14_group_2 A (tptp.k10_group_3 A (tptp.k6_domain_1 _let_1 B))))) (forall ((C $$unsorted)) (=> (tptp.v1_finset_1 C) (not (and (= C (tptp.k7_group_3 A B)) (= (tptp.k4_card_1 C) (tptp.k17_group_2 A (tptp.k10_group_3 A (tptp.k6_domain_1 (tptp.u1_struct_0 A) B))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_group_2 B A) (= (tptp.k11_group_3 A B) (tptp.k10_group_3 A (tptp.k7_group_2 A B))))))) true (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_group_1 B) (tptp.v4_group_1 B) (tptp.l1_group_1 B)) (forall ((C $$unsorted)) (=> (and (tptp.v1_group_1 C) (tptp.m1_group_2 C B)) (= (tptp.r1_rlvect_1 (tptp.k11_group_3 B C) A) (exists ((D $$unsorted)) (and (tptp.m1_subset_1 D (tptp.u1_struct_0 B)) (= A D) (tptp.r1_group_2 B (tptp.k6_group_3 B C D) C)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_group_1 B) (tptp.m1_group_2 B A)) (= (tptp.k1_card_1 (tptp.k9_group_3 A B)) (tptp.k16_group_2 A (tptp.k11_group_3 A B))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_group_1 B) (tptp.m1_group_2 B A)) (not (and (or (tptp.v1_finset_1 (tptp.k9_group_3 A B)) (tptp.v1_finset_1 (tptp.k14_group_2 A (tptp.k11_group_3 A B)))) (forall ((C $$unsorted)) (=> (tptp.v1_finset_1 C) (not (and (= C (tptp.k9_group_3 A B)) (= (tptp.k4_card_1 C) (tptp.k17_group_2 A (tptp.k11_group_3 A B))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v1_group_1 A) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.m1_group_2 B A))) (=> (and (tptp.v1_group_1 B) _let_1) (= (and (tptp.v1_group_3 B A) _let_1) (= (tptp.k11_group_3 A B) A))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v1_group_1 A) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (= (tptp.k11_group_3 A (tptp.k5_group_2 A)) A))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v1_group_1 A) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (= (tptp.k11_group_3 A (tptp.k6_group_2 A)) A))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A) (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (=> (tptp.r2_group_3 A B C) (tptp.r2_group_3 A C B))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A) (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (tptp.r2_group_3 A B B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A) (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (= (tptp.r2_group_3 A B C) (tptp.r1_group_3 A B C))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A) (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (=> (tptp.r4_group_3 A B C) (tptp.r4_group_3 A C B))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A) (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (tptp.r4_group_3 A B B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A) (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (= (tptp.r4_group_3 A B C) (tptp.r3_group_3 A B C))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A) (tptp.v1_group_1 B) (tptp.m1_group_2 B A) (tptp.v1_group_1 C) (tptp.m1_group_2 C A)) (=> (tptp.r6_group_3 A B C) (tptp.r6_group_3 A C B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A) (tptp.v1_group_1 B) (tptp.m1_group_2 B A) (tptp.v1_group_1 C) (tptp.m1_group_2 C A)) (tptp.r6_group_3 A B B))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A) (tptp.v1_group_1 B) (tptp.m1_group_2 B A) (tptp.v1_group_1 C) (tptp.m1_group_2 C A)) (= (tptp.r6_group_3 A B C) (tptp.r5_group_3 A B C)))) true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A) (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (tptp.m1_subset_1 (tptp.k2_group_3 A B C) _let_1)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A) (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (tptp.m1_subset_1 (tptp.k3_group_3 A B C) _let_1)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.k1_zfmisc_1 _let_1))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A) (tptp.m1_subset_1 B _let_2) (tptp.m1_subset_1 C _let_1)) (tptp.m1_subset_1 (tptp.k4_group_3 A B C) _let_2))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.k1_zfmisc_1 _let_1))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A) (tptp.m1_subset_1 B _let_2) (tptp.m1_subset_1 C _let_1)) (tptp.m1_subset_1 (tptp.k5_group_3 A B C) _let_2))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k6_group_3 A B C))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A) (tptp.m1_group_2 B A) (tptp.m1_subset_1 C (tptp.u1_struct_0 A))) (and (tptp.v1_group_1 _let_1) (tptp.m1_group_2 _let_1 A))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A) (tptp.m1_subset_1 B _let_1)) (tptp.m1_subset_1 (tptp.k7_group_3 A B) (tptp.k1_zfmisc_1 _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A) (tptp.m1_subset_1 B _let_1)) (tptp.m1_subset_1 (tptp.k8_group_3 A B) (tptp.k1_zfmisc_1 _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A) (tptp.m1_group_2 B A)) (tptp.m1_subset_1 (tptp.k9_group_3 A B) (tptp.k1_zfmisc_1 (tptp.k1_group_3 A))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k10_group_3 A B))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (and (tptp.v1_group_1 _let_1) (tptp.m1_group_2 _let_1 A))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k11_group_3 A B))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A) (tptp.m1_group_2 B A)) (and (tptp.v1_group_1 _let_1) (tptp.m1_group_2 _let_1 A))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (tptp.k3_group_3 A B C) (tptp.a_3_0_group_3 A B C)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (= (tptp.k5_group_3 A (tptp.k7_group_2 A (tptp.k6_group_2 A)) B) (tptp.a_2_0_group_3 A B)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (tptp.k8_group_3 A B) (tptp.a_2_1_group_3 A B)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 B _let_1) (= (tptp.k8_group_3 A (tptp.k6_domain_1 _let_1 B)) (tptp.a_2_2_group_3 A B))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (=> (and (tptp.v1_group_1 C) (tptp.m1_group_2 C A)) (= (= C (tptp.k10_group_3 A B)) (= (tptp.u1_struct_0 C) (tptp.a_2_3_group_3 A B))))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B)))) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_group_1 B) (tptp.v4_group_1 B) (tptp.l1_group_1 B) (tptp.m1_subset_1 C _let_1) (tptp.m1_subset_1 D _let_1)) (= (tptp.r2_hidden A (tptp.a_3_0_group_3 B C D)) (exists ((E $$unsorted) (F $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (and (tptp.m1_subset_1 E _let_1) (tptp.m1_subset_1 F _let_1) (= A (tptp.k2_group_3 B E F)) (tptp.r2_hidden E C) (tptp.r2_hidden F D)))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_group_1 B) (tptp.v4_group_1 B) (tptp.l1_group_1 B) (tptp.m1_subset_1 C (tptp.u1_struct_0 B))) (= (tptp.r2_hidden A (tptp.a_2_0_group_3 B C)) (exists ((D $$unsorted)) (and (tptp.m1_subset_1 D (tptp.u1_struct_0 B)) (= A D) (tptp.r2_group_3 B C D)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_group_1 B) (tptp.v4_group_1 B) (tptp.l1_group_1 B) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B)))) (= (tptp.r2_hidden A (tptp.a_2_1_group_3 B C)) (exists ((D $$unsorted)) (and (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B))) (= A D) (tptp.r4_group_3 B C D)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_group_1 B) (tptp.v4_group_1 B) (tptp.l1_group_1 B) (tptp.m1_subset_1 C (tptp.u1_struct_0 B))) (= (tptp.r2_hidden A (tptp.a_2_2_group_3 B C)) (exists ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (and (tptp.m1_subset_1 D _let_1) (= A (tptp.k6_domain_1 _let_1 D)) (tptp.r2_hidden D (tptp.k7_group_3 B C)))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_group_1 B) (tptp.v4_group_1 B) (tptp.l1_group_1 B) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B)))) (= (tptp.r2_hidden A (tptp.a_2_3_group_3 B C)) (exists ((D $$unsorted)) (and (tptp.m1_subset_1 D (tptp.u1_struct_0 B)) (= A D) (= (tptp.k4_group_3 B C D) C)))))) _let_7 true (forall ((A $$unsorted)) (=> (tptp.v1_int_1 A) (= (tptp.k2_group_4 A) A))) true true (forall ((A $$unsorted)) (=> (tptp.m2_subset_1 A tptp.k1_numbers tptp.k5_numbers) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_group_1 B) (tptp.v4_group_1 B) (tptp.l1_group_1 B)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 B)) (forall ((D $$unsorted)) (=> (tptp.m1_group_2 D B) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.u1_struct_0 D)) (=> (= C E) (= (tptp.k6_group_1 B A C) (tptp.k6_group_1 D A E))))))))))))) (forall ((A $$unsorted)) (=> (tptp.v1_int_1 A) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_group_1 B) (tptp.v4_group_1 B) (tptp.l1_group_1 B)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 B)) (forall ((D $$unsorted)) (=> (tptp.m1_group_2 D B) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.u1_struct_0 D)) (=> (= C E) (= (tptp.k6_group_1 B A C) (tptp.k6_group_1 D A E))))))))))))) (forall ((A $$unsorted)) (=> (tptp.m2_subset_1 A tptp.k1_numbers tptp.k5_numbers) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_group_1 B) (tptp.v4_group_1 B) (tptp.l1_group_1 B)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 B)) (forall ((D $$unsorted)) (=> (tptp.m1_group_2 D B) (=> (tptp.r1_rlvect_1 D C) (tptp.r1_rlvect_1 D (tptp.k6_group_1 B A C))))))))))) (forall ((A $$unsorted)) (=> (tptp.v1_int_1 A) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_group_1 B) (tptp.v4_group_1 B) (tptp.l1_group_1 B)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 B)) (forall ((D $$unsorted)) (=> (tptp.m1_group_2 D B) (=> (tptp.r1_rlvect_1 D C) (tptp.r1_rlvect_1 D (tptp.k6_group_1 B A C))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m2_finseq_1 B _let_1) (= (tptp.k3_group_4 A B) (tptp.k2_finsop_1 _let_1 B (tptp.u1_group_1 A)))))))) true (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m2_finseq_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m2_finseq_1 C _let_1) (= (tptp.k3_group_4 A (tptp.k8_finseq_1 _let_1 B C)) (tptp.k1_group_1 A (tptp.k3_group_4 A B) (tptp.k3_group_4 A C)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m2_finseq_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 C _let_1) (= (tptp.k3_group_4 A (tptp.k8_finseq_1 _let_1 B (tptp.k12_finseq_1 _let_1 C))) (tptp.k1_group_1 A (tptp.k3_group_4 A B) C))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m2_finseq_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 C _let_1) (= (tptp.k3_group_4 A (tptp.k8_finseq_1 _let_1 (tptp.k12_finseq_1 _let_1 C) B)) (tptp.k1_group_1 A C (tptp.k3_group_4 A B)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_group_1 A) (tptp.l1_group_1 A)) (= (tptp.k3_group_4 A (tptp.k6_finseq_1 (tptp.u1_struct_0 A))) (tptp.k2_group_1 A)))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 B _let_1) (= (tptp.k3_group_4 A (tptp.k12_finseq_1 _let_1 B)) B)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (tptp.k3_group_4 A (tptp.k7_rlvect_1 A B C)) (tptp.k1_group_1 A B C)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k3_group_4 A (tptp.k8_rlvect_1 A B C D)))) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (and (= _let_1 (tptp.k1_group_1 A (tptp.k1_group_1 A B C) D)) (= _let_1 (tptp.k1_group_1 A B (tptp.k1_group_1 A C D))))))))))))) (forall ((A $$unsorted)) (=> (tptp.m2_subset_1 A tptp.k1_numbers tptp.k5_numbers) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_group_1 B) (tptp.v4_group_1 B) (tptp.l1_group_1 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (=> (tptp.m1_subset_1 C _let_1) (= (tptp.k3_group_4 B (tptp.k1_finsop_1 _let_1 A C)) (tptp.k6_group_1 B A C))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m2_finseq_1 B _let_1) (= (tptp.k3_group_4 A (tptp.k1_group_4 _let_1 B (tptp.k6_domain_1 _let_1 (tptp.k2_group_1 A)))) (tptp.k3_group_4 A B))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m2_finseq_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m2_finseq_1 C (tptp.u1_struct_0 A)) (=> (and (= (tptp.k3_finseq_1 B) (tptp.k3_finseq_1 C)) (forall ((D $$unsorted)) (=> (tptp.m2_subset_1 D tptp.k1_numbers tptp.k5_numbers) (=> (tptp.r2_hidden D (tptp.k4_finseq_1 B)) (= (tptp.k1_funct_1 C (tptp.k2_xcmplx_0 (tptp.k6_xcmplx_0 (tptp.k3_finseq_1 B) D) tptp.np__1)) (tptp.k3_group_1 A (tptp.k4_finseq_4 tptp.k5_numbers (tptp.u1_struct_0 A) B D))))))) (= (tptp.k3_group_4 A B) (tptp.k3_group_1 A (tptp.k3_group_4 A C)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m2_finseq_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m2_finseq_1 C (tptp.u1_struct_0 A)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.v7_group_1 A) (tptp.l1_group_1 A)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k4_finseq_1 B))) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D _let_1 _let_1) (tptp.v3_funct_2 D _let_1 _let_1) (tptp.m2_relset_1 D _let_1 _let_1)) (=> (= C (tptp.k5_relat_1 D B)) (= (tptp.k3_group_4 A B) (tptp.k3_group_4 A C))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m2_finseq_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m2_finseq_1 C (tptp.u1_struct_0 A)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.v7_group_1 A) (tptp.l1_group_1 A) (tptp.v2_funct_1 B) (tptp.v2_funct_1 C) (= (tptp.k2_relat_1 B) (tptp.k2_relat_1 C))) (= (tptp.k3_group_4 A B) (tptp.k3_group_4 A C))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m2_finseq_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m2_finseq_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k3_finseq_1 B))) (=> (tptp.m2_finseq_1 D (tptp.u1_struct_0 A)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.v7_group_1 A) (tptp.l1_group_1 A) (= _let_1 (tptp.k3_finseq_1 C)) (= _let_1 (tptp.k3_finseq_1 D)) (forall ((E $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m2_subset_1 E tptp.k1_numbers tptp.k5_numbers) (=> (tptp.r2_hidden E (tptp.k4_finseq_1 B)) (= (tptp.k1_funct_1 B E) (tptp.k1_group_1 A (tptp.k4_finseq_4 tptp.k5_numbers _let_1 C E) (tptp.k4_finseq_4 tptp.k5_numbers _let_1 D E)))))))) (= (tptp.k3_group_4 A B) (tptp.k1_group_1 A (tptp.k3_group_4 A C) (tptp.k3_group_4 A D))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_group_2 B A) (forall ((C $$unsorted)) (=> (tptp.m2_finseq_1 C (tptp.u1_struct_0 A)) (=> (tptp.r1_tarski (tptp.k2_relat_1 C) (tptp.k7_group_2 A B)) (tptp.r1_rlvect_1 B (tptp.k3_group_4 A C))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m2_finseq_1 B tptp.k4_numbers) (forall ((C $$unsorted)) (=> (tptp.m2_finseq_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m2_finseq_1 D (tptp.u1_struct_0 A)) (= (= D (tptp.k4_group_4 A B C)) (and (= (tptp.k3_finseq_1 D) (tptp.k3_finseq_1 C)) (forall ((E $$unsorted)) (=> (tptp.m2_subset_1 E tptp.k1_numbers tptp.k5_numbers) (=> (tptp.r2_hidden E (tptp.k4_finseq_1 C)) (= (tptp.k1_funct_1 D E) (tptp.k6_group_1 A (tptp.k2_group_4 (tptp.k4_finseq_4 tptp.k5_numbers tptp.k4_numbers B E)) (tptp.k4_finseq_4 tptp.k5_numbers (tptp.u1_struct_0 A) C E)))))))))))))))) true true true (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m2_finseq_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m2_finseq_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m2_finseq_1 D tptp.k4_numbers) (forall ((E $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m2_finseq_1 E tptp.k4_numbers) (=> (and (= (tptp.k3_finseq_1 B) (tptp.k3_finseq_1 D)) (= (tptp.k3_finseq_1 C) (tptp.k3_finseq_1 E))) (= (tptp.k4_group_4 A (tptp.k8_finseq_1 tptp.k4_numbers D E) (tptp.k8_finseq_1 _let_1 B C)) (tptp.k8_finseq_1 _let_1 (tptp.k4_group_4 A D B) (tptp.k4_group_4 A E C))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_group_2 B A) (forall ((C $$unsorted)) (=> (tptp.m2_finseq_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m2_finseq_1 D tptp.k4_numbers) (=> (tptp.r1_tarski (tptp.k2_relat_1 C) (tptp.k7_group_2 A B)) (tptp.r1_rlvect_1 B (tptp.k3_group_4 A (tptp.k4_group_4 A D C)))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (= (tptp.k4_group_4 A (tptp.k6_finseq_1 tptp.k4_numbers) (tptp.k6_finseq_1 (tptp.u1_struct_0 A))) tptp.k1_xboole_0))) (forall ((A $$unsorted)) (=> (tptp.v1_int_1 A) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_group_1 B) (tptp.v4_group_1 B) (tptp.l1_group_1 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (=> (tptp.m1_subset_1 C _let_1) (= (tptp.k4_group_4 B (tptp.k12_finseq_1 tptp.k4_numbers (tptp.k2_group_4 A)) (tptp.k12_finseq_1 _let_1 C)) (tptp.k12_finseq_1 _let_1 (tptp.k6_group_1 B A C)))))))))) (forall ((A $$unsorted)) (=> (tptp.v1_int_1 A) (forall ((B $$unsorted)) (=> (tptp.v1_int_1 B) (forall ((C $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.v3_group_1 C) (tptp.v4_group_1 C) (tptp.l1_group_1 C)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 C)) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.u1_struct_0 C)) (= (tptp.k4_group_4 C (tptp.k2_finseq_4 tptp.k4_numbers (tptp.k2_group_4 A) (tptp.k2_group_4 B)) (tptp.k7_rlvect_1 C D E)) (tptp.k7_rlvect_1 C (tptp.k6_group_1 C A D) (tptp.k6_group_1 C B E))))))))))))) (forall ((A $$unsorted)) (=> (tptp.v1_int_1 A) (forall ((B $$unsorted)) (=> (tptp.v1_int_1 B) (forall ((C $$unsorted)) (=> (tptp.v1_int_1 C) (forall ((D $$unsorted)) (=> (and (not (tptp.v3_struct_0 D)) (tptp.v3_group_1 D) (tptp.v4_group_1 D) (tptp.l1_group_1 D)) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.u1_struct_0 D)) (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F (tptp.u1_struct_0 D)) (forall ((G $$unsorted)) (=> (tptp.m1_subset_1 G (tptp.u1_struct_0 D)) (= (tptp.k4_group_4 D (tptp.k3_finseq_4 tptp.k4_numbers (tptp.k2_group_4 A) (tptp.k2_group_4 B) (tptp.k2_group_4 C)) (tptp.k8_rlvect_1 D E F G)) (tptp.k8_rlvect_1 D (tptp.k6_group_1 D A E) (tptp.k6_group_1 D B F) (tptp.k6_group_1 D C G))))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m2_finseq_1 B (tptp.u1_struct_0 A)) (= (tptp.k4_group_4 A (tptp.k1_finsop_1 tptp.k4_numbers (tptp.k3_finseq_1 B) (tptp.k2_group_4 tptp.np__1)) B) B))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k3_finseq_1 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (tptp.m2_finseq_1 B _let_2) (= (tptp.k4_group_4 A (tptp.k1_finsop_1 tptp.k4_numbers _let_1 (tptp.k2_group_4 tptp.np__0)) B) (tptp.k1_finsop_1 _let_2 _let_1 (tptp.k2_group_1 A))))))))) (forall ((A $$unsorted)) (=> (tptp.m2_subset_1 A tptp.k1_numbers tptp.k5_numbers) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_group_1 B) (tptp.v4_group_1 B) (tptp.l1_group_1 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k1_finsop_1 (tptp.u1_struct_0 B) A (tptp.k2_group_1 B)))) (=> (tptp.m2_finseq_1 C tptp.k4_numbers) (=> (= (tptp.k3_finseq_1 C) A) (= (tptp.k4_group_4 B C _let_1) _let_1))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (=> (and (tptp.v1_group_1 C) (tptp.m1_group_2 C A)) (= (= C (tptp.k5_group_4 A B)) (and (tptp.r1_tarski B (tptp.u1_struct_0 C)) (forall ((D $$unsorted)) (=> (and (tptp.v1_group_1 D) (tptp.m1_group_2 D A)) (=> (tptp.r1_tarski B (tptp.u1_struct_0 D)) (tptp.m1_group_2 C D)))))))))))) true true true (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (tptp.r1_rlvect_1 (tptp.k5_group_4 A C) B) (exists ((D $$unsorted)) (and (tptp.m2_finseq_1 D (tptp.u1_struct_0 A)) (exists ((E $$unsorted)) (and (tptp.m2_finseq_1 E tptp.k4_numbers) (= (tptp.k3_finseq_1 D) (tptp.k3_finseq_1 E)) (tptp.r1_tarski (tptp.k2_relat_1 D) C) (= (tptp.k3_group_4 A (tptp.k4_group_4 A E D)) B)))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (tptp.r2_hidden B C) (tptp.r1_rlvect_1 (tptp.k5_group_4 A C) B)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (tptp.r1_group_2 A (tptp.k5_group_4 A (tptp.k1_subset_1 (tptp.u1_struct_0 A))) (tptp.k5_group_2 A)))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_group_1 B) (tptp.m1_group_2 B A)) (tptp.r1_group_2 A (tptp.k5_group_4 A (tptp.k7_group_2 A B)) B))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (tptp.r1_tarski B C) (tptp.m1_group_2 (tptp.k5_group_4 A B) (tptp.k5_group_4 A C))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 _let_1)) (tptp.m1_group_2 (tptp.k5_group_4 A (tptp.k5_subset_1 _let_1 B C)) (tptp.k9_group_2 A (tptp.k5_group_4 A B) (tptp.k5_group_4 A C)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 _let_1)) (tptp.r1_group_2 A (tptp.k5_group_4 A B) (tptp.k5_group_4 A (tptp.k6_subset_1 _let_1 B (tptp.k6_domain_1 _let_1 (tptp.k2_group_1 A)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (= (tptp.v1_group_4 B A) (exists ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.g1_group_1 _let_1 (tptp.u1_group_1 A)))) (and (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 _let_1)) (= (tptp.k5_group_4 A C) _let_2) (not (= (tptp.k5_group_4 A (tptp.k6_subset_1 _let_1 C (tptp.k6_domain_1 _let_1 B))) _let_2))))))))))) true (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (not (tptp.v1_group_4 (tptp.k2_group_1 A) A)))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_group_2 B A) (= (tptp.v2_group_4 B A) (and (not (= (tptp.g1_group_1 (tptp.u1_struct_0 B) (tptp.u1_group_1 B)) (tptp.g1_group_1 (tptp.u1_struct_0 A) (tptp.u1_group_1 A)))) (forall ((C $$unsorted)) (=> (and (tptp.v1_group_1 C) (tptp.m1_group_2 C A)) (=> (tptp.m1_group_2 B C) (or (= (tptp.g1_group_1 (tptp.u1_struct_0 B) (tptp.u1_group_1 B)) C) (= C (tptp.g1_group_1 (tptp.u1_struct_0 A) (tptp.u1_group_1 A))))))))))))) true (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v1_group_1 A) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_group_1 B) (tptp.m1_group_2 B A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 C _let_1) (=> (tptp.v2_group_4 B A) (or (tptp.r1_rlvect_1 B C) (= (tptp.k5_group_4 A (tptp.k4_subset_1 _let_1 (tptp.k7_group_2 A B) (tptp.k6_domain_1 _let_1 C))) A)))))))))) true true true (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.v3_group_1 C) (tptp.v4_group_1 C) (tptp.l1_group_1 C)) (=> (exists ((D $$unsorted)) (and (tptp.v1_group_1 D) (tptp.m1_group_2 D C) (tptp.v2_group_4 D C))) (= (tptp.r1_rlvect_1 (tptp.k6_group_4 C) B) (forall ((D $$unsorted)) (=> (and (tptp.v1_group_1 D) (tptp.m1_group_2 D C)) (=> (tptp.v2_group_4 D C) (tptp.r1_rlvect_1 D B)))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (=> (forall ((C $$unsorted)) (=> (and (tptp.v1_group_1 C) (tptp.m1_group_2 C A)) (not (tptp.v2_group_4 C A)))) (tptp.r1_rlvect_1 (tptp.k6_group_4 A) B)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_group_1 B) (tptp.m1_group_2 B A)) (=> (tptp.v2_group_4 B A) (tptp.m1_group_2 (tptp.k6_group_4 A) B)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v1_group_1 A) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (= (tptp.r1_rlvect_1 (tptp.k6_group_4 A) B) (not (tptp.v1_group_4 B A))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_group_2 B A) (forall ((C $$unsorted)) (=> (tptp.m1_group_2 C A) (= (tptp.k7_group_4 A B C) (tptp.k2_group_2 A (tptp.k7_group_2 A B) (tptp.k7_group_2 A C))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_group_2 B A) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k7_group_2 A B))) (let ((_let_2 (tptp.k7_group_4 A B C))) (let ((_let_3 (tptp.k7_group_2 A C))) (=> (tptp.m1_group_2 C A) (and (= _let_2 (tptp.k2_group_2 A _let_1 _let_3)) (= _let_2 (tptp.k11_group_2 A B _let_3)) (= _let_2 (tptp.k10_group_2 A C _let_1)))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_group_2 B A) (= (tptp.k7_group_4 A B B) (tptp.k7_group_2 A B)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_group_2 B A) (forall ((C $$unsorted)) (=> (tptp.m1_group_2 C A) (forall ((D $$unsorted)) (=> (tptp.m1_group_2 D A) (= (tptp.k10_group_2 A D (tptp.k7_group_4 A B C)) (tptp.k11_group_2 A B (tptp.k7_group_4 A C D))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_group_2 C A) (forall ((D $$unsorted)) (=> (tptp.m1_group_2 D A) (= (tptp.k10_group_2 A D (tptp.k12_group_2 A C B)) (tptp.k3_group_2 A B (tptp.k7_group_4 A C D))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_group_2 C A) (forall ((D $$unsorted)) (=> (tptp.m1_group_2 D A) (= (tptp.k4_group_2 A B (tptp.k7_group_4 A C D)) (tptp.k11_group_2 A C (tptp.k13_group_2 A D B))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (=> (tptp.m1_group_2 C A) (forall ((D $$unsorted)) (=> (tptp.m1_group_2 D A) (= (tptp.k10_group_2 A D (tptp.k10_group_2 A C B)) (tptp.k2_group_2 A B (tptp.k7_group_4 A C D))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (=> (tptp.m1_group_2 C A) (forall ((D $$unsorted)) (=> (tptp.m1_group_2 D A) (= (tptp.k2_group_2 A (tptp.k7_group_4 A C D) B) (tptp.k11_group_2 A C (tptp.k11_group_2 A D B))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_group_1 B) (tptp.v1_group_3 B A) (tptp.m1_group_2 B A)) (forall ((C $$unsorted)) (=> (and (tptp.v1_group_1 C) (tptp.v1_group_3 C A) (tptp.m1_group_2 C A)) (= (tptp.k7_group_4 A B C) (tptp.k7_group_4 A C B)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_group_2 B A) (forall ((C $$unsorted)) (=> (tptp.m1_group_2 C A) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.v7_group_1 A) (tptp.l1_group_1 A)) (= (tptp.k7_group_4 A B C) (tptp.k7_group_4 A C B))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_group_2 B A) (forall ((C $$unsorted)) (=> (tptp.m1_group_2 C A) (= (tptp.k8_group_4 A B C) (tptp.k5_group_4 A (tptp.k4_subset_1 (tptp.u1_struct_0 A) (tptp.k7_group_2 A B) (tptp.k7_group_2 A C)))))))))) true (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_group_2 C A) (forall ((D $$unsorted)) (=> (tptp.m1_group_2 D A) (= (tptp.r1_rlvect_1 (tptp.k8_group_4 A C D) B) (exists ((E $$unsorted)) (and (tptp.m2_finseq_1 E (tptp.u1_struct_0 A)) (exists ((F $$unsorted)) (and (tptp.m2_finseq_1 F tptp.k4_numbers) (= (tptp.k3_finseq_1 E) (tptp.k3_finseq_1 F)) (tptp.r1_tarski (tptp.k2_relat_1 E) (tptp.k4_subset_1 (tptp.u1_struct_0 A) (tptp.k7_group_2 A C) (tptp.k7_group_2 A D))) (= B (tptp.k3_group_4 A (tptp.k4_group_4 A F E)))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_group_2 B A) (forall ((C $$unsorted)) (=> (tptp.m1_group_2 C A) (tptp.r1_group_2 A (tptp.k8_group_4 A B C) (tptp.k5_group_4 A (tptp.k7_group_4 A B C))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_group_2 B A) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k7_group_4 A B C))) (=> (tptp.m1_group_2 C A) (=> (= _let_1 (tptp.k7_group_4 A C B)) (= (tptp.u1_struct_0 (tptp.k8_group_4 A B C)) _let_1))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_group_2 B A) (forall ((C $$unsorted)) (=> (tptp.m1_group_2 C A) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.v7_group_1 A) (tptp.l1_group_1 A)) (= (tptp.u1_struct_0 (tptp.k8_group_4 A B C)) (tptp.k7_group_4 A B C))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_group_1 B) (tptp.v1_group_3 B A) (tptp.m1_group_2 B A)) (forall ((C $$unsorted)) (=> (and (tptp.v1_group_1 C) (tptp.v1_group_3 C A) (tptp.m1_group_2 C A)) (= (tptp.u1_struct_0 (tptp.k8_group_4 A B C)) (tptp.k7_group_4 A B C)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_group_1 B) (tptp.v1_group_3 B A) (tptp.m1_group_2 B A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k8_group_4 A B C))) (=> (and (tptp.v1_group_1 C) (tptp.v1_group_3 C A) (tptp.m1_group_2 C A)) (and (tptp.v1_group_3 _let_1 A) (tptp.m1_group_2 _let_1 A))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_group_1 B) (tptp.m1_group_2 B A)) (tptp.r1_group_2 A (tptp.k8_group_4 A B B) B))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_group_2 B A) (forall ((C $$unsorted)) (=> (tptp.m1_group_2 C A) (tptp.r1_group_2 A (tptp.k8_group_4 A B C) (tptp.k8_group_4 A C B)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_group_2 B A) (forall ((C $$unsorted)) (=> (tptp.m1_group_2 C A) (forall ((D $$unsorted)) (=> (tptp.m1_group_2 D A) (tptp.r1_group_2 A (tptp.k8_group_4 A (tptp.k8_group_4 A B C) D) (tptp.k8_group_4 A B (tptp.k8_group_4 A C D))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k5_group_2 A))) (=> (and (tptp.v1_group_1 B) (tptp.m1_group_2 B A)) (and (tptp.r1_group_2 A (tptp.k8_group_4 A _let_1 B) B) (tptp.r1_group_2 A (tptp.k8_group_4 A B _let_1) B))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k6_group_2 A))) (=> (tptp.m1_group_2 B A) (and (tptp.r1_group_2 A (tptp.k8_group_4 A _let_1 B) _let_1) (tptp.r1_group_2 A (tptp.k8_group_4 A B _let_1) _let_1))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_group_2 B A) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k8_group_4 A B C))) (=> (tptp.m1_group_2 C A) (and (tptp.m1_group_2 B _let_1) (tptp.m1_group_2 C _let_1))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_group_2 B A) (forall ((C $$unsorted)) (=> (and (tptp.v1_group_1 C) (tptp.m1_group_2 C A)) (= (tptp.m1_group_2 B C) (tptp.r1_group_2 A (tptp.k8_group_4 A B C) C)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_group_2 B A) (forall ((C $$unsorted)) (=> (tptp.m1_group_2 C A) (forall ((D $$unsorted)) (=> (tptp.m1_group_2 D A) (=> (tptp.m1_group_2 B C) (tptp.m1_group_2 B (tptp.k8_group_4 A C D))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_group_2 B A) (forall ((C $$unsorted)) (=> (tptp.m1_group_2 C A) (forall ((D $$unsorted)) (=> (and (tptp.v1_group_1 D) (tptp.m1_group_2 D A)) (=> (and (tptp.m1_group_2 B D) (tptp.m1_group_2 C D)) (tptp.m1_group_2 (tptp.k8_group_4 A B C) D)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_group_2 B A) (forall ((C $$unsorted)) (=> (and (tptp.v1_group_1 C) (tptp.m1_group_2 C A)) (forall ((D $$unsorted)) (=> (and (tptp.v1_group_1 D) (tptp.m1_group_2 D A)) (=> (tptp.m1_group_2 B D) (tptp.m1_group_2 (tptp.k8_group_4 A B C) (tptp.k8_group_4 A D C))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_group_2 B A) (forall ((C $$unsorted)) (=> (tptp.m1_group_2 C A) (tptp.m1_group_2 (tptp.k9_group_2 A B C) (tptp.k8_group_4 A B C)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_group_2 B A) (forall ((C $$unsorted)) (=> (and (tptp.v1_group_1 C) (tptp.m1_group_2 C A)) (tptp.r1_group_2 A (tptp.k8_group_4 A (tptp.k9_group_2 A B C) C) C))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_group_2 B A) (forall ((C $$unsorted)) (=> (and (tptp.v1_group_1 C) (tptp.m1_group_2 C A)) (tptp.r1_group_2 A (tptp.k9_group_2 A C (tptp.k8_group_4 A C B)) C))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_group_1 B) (tptp.m1_group_2 B A)) (forall ((C $$unsorted)) (=> (and (tptp.v1_group_1 C) (tptp.m1_group_2 C A)) (= (tptp.r1_group_2 A (tptp.k8_group_4 A B C) C) (tptp.r1_group_2 A (tptp.k9_group_2 A B C) B)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k1_group_3 A))) (let ((_let_2 (tptp.k2_zfmisc_1 _let_1 _let_1))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_2 _let_1) (tptp.m2_relset_1 B _let_2 _let_1)) (= (= B (tptp.k9_group_4 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_group_3 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_group_3 A)) (forall ((E $$unsorted)) (=> (tptp.m1_group_2 E A) (forall ((F $$unsorted)) (let ((_let_1 (tptp.k1_group_3 A))) (=> (tptp.m1_group_2 F A) (=> (and (= C E) (= D F)) (= (tptp.k2_binop_1 _let_1 _let_1 _let_1 B C D) (tptp.k8_group_4 A E F))))))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k1_group_3 A))) (let ((_let_2 (tptp.k2_zfmisc_1 _let_1 _let_1))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_2 _let_1) (tptp.m2_relset_1 B _let_2 _let_1)) (= (= B (tptp.k10_group_4 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_group_3 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_group_3 A)) (forall ((E $$unsorted)) (=> (tptp.m1_group_2 E A) (forall ((F $$unsorted)) (let ((_let_1 (tptp.k1_group_3 A))) (=> (tptp.m1_group_2 F A) (=> (and (= C E) (= D F)) (= (tptp.k2_binop_1 _let_1 _let_1 _let_1 B C D) (tptp.k9_group_2 A E F))))))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (= (tptp.k11_group_4 A) (tptp.g3_lattices (tptp.k1_group_3 A) (tptp.k9_group_4 A) (tptp.k10_group_4 A))))) true true true true true (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (= (tptp.u1_struct_0 (tptp.k11_group_4 A)) (tptp.k1_group_3 A)))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (= (tptp.u2_lattices (tptp.k11_group_4 A)) (tptp.k9_group_4 A)))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (= (tptp.u1_lattices (tptp.k11_group_4 A)) (tptp.k10_group_4 A)))) true true true (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (= (tptp.k5_lattices (tptp.k11_group_4 A)) (tptp.k5_group_2 A)))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (= (tptp.k6_lattices (tptp.k11_group_4 A)) (tptp.k6_group_2 A)))) (exists ((A $$unsorted)) (and (tptp.r1_tarski A (tptp.k1_group_3 tptp.f1_s2_group_4)) (forall ((B $$unsorted)) (=> (and (tptp.v1_group_1 B) (tptp.m1_group_2 B tptp.f1_s2_group_4)) (= (tptp.r2_hidden B A) (tptp.p1_s2_group_4 B)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.m1_finseq_1 B A)) (tptp.m2_finseq_1 (tptp.k1_group_4 A B C) A))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.m1_finseq_1 B A)) (= (tptp.k1_group_4 A B C) (tptp.k1_finseq_3 B C)))) (forall ((A $$unsorted)) (=> (tptp.v1_int_1 A) (tptp.m1_subset_1 (tptp.k2_group_4 A) tptp.k4_numbers))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_group_1 A) (tptp.m1_finseq_1 B _let_1)) (tptp.m1_subset_1 (tptp.k3_group_4 A B) _let_1)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A) (tptp.m1_finseq_1 B tptp.k4_numbers) (tptp.m1_finseq_1 C _let_1)) (tptp.m2_finseq_1 (tptp.k4_group_4 A B C) _let_1)))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k5_group_4 A B))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (and (tptp.v1_group_1 _let_1) (tptp.m1_group_2 _let_1 A))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k6_group_4 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (and (tptp.v1_group_1 _let_1) (tptp.m1_group_2 _let_1 A))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A) (tptp.m1_group_2 B A) (tptp.m1_group_2 C A)) (tptp.m1_subset_1 (tptp.k7_group_4 A B C) (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k8_group_4 A B C))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A) (tptp.m1_group_2 B A) (tptp.m1_group_2 C A)) (and (tptp.v1_group_1 _let_1) (tptp.m1_group_2 _let_1 A))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k1_group_3 A))) (let ((_let_2 (tptp.k2_zfmisc_1 _let_1 _let_1))) (let ((_let_3 (tptp.k9_group_4 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (and (tptp.v1_funct_1 _let_3) (tptp.v1_funct_2 _let_3 _let_2 _let_1) (tptp.m2_relset_1 _let_3 _let_2 _let_1))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k1_group_3 A))) (let ((_let_2 (tptp.k2_zfmisc_1 _let_1 _let_1))) (let ((_let_3 (tptp.k10_group_4 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (and (tptp.v1_funct_1 _let_3) (tptp.v1_funct_2 _let_3 _let_2 _let_1) (tptp.m2_relset_1 _let_3 _let_2 _let_1))))))) _let_6 (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (tptp.u1_struct_0 (tptp.k5_group_4 A B)) (tptp.k1_setfam_1 (tptp.a_2_0_group_4 A B))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (= B (tptp.k6_group_4 A)))) (=> (and (tptp.v1_group_1 B) (tptp.m1_group_2 B A)) (and (=> (exists ((C $$unsorted)) (and (tptp.v1_group_1 C) (tptp.m1_group_2 C A) (tptp.v2_group_4 C A))) (= _let_1 (= (tptp.u1_struct_0 B) (tptp.k1_setfam_1 (tptp.a_1_0_group_4 A))))) (=> (forall ((C $$unsorted)) (=> (and (tptp.v1_group_1 C) (tptp.m1_group_2 C A)) (not (tptp.v2_group_4 C A)))) (= _let_1 (= B (tptp.g1_group_1 (tptp.u1_struct_0 A) (tptp.u1_group_1 A))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v1_group_1 A) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (= (tptp.u1_struct_0 (tptp.k6_group_4 A)) (tptp.a_1_1_group_4 A)))) (=> (exists ((A $$unsorted)) (and (tptp.v1_group_1 A) (tptp.m1_group_2 A tptp.f1_s1_group_4) (tptp.p1_s1_group_4 A))) (exists ((A $$unsorted)) (and (tptp.v1_group_1 A) (tptp.m1_group_2 A tptp.f1_s1_group_4) (= (tptp.u1_struct_0 A) (tptp.k1_setfam_1 tptp.a_0_0_group_4))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_group_1 B) (tptp.v4_group_1 B) (tptp.l1_group_1 B) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B)))) (= (tptp.r2_hidden A (tptp.a_2_0_group_4 B C)) (exists ((D $$unsorted)) (and (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B))) (= A D) (exists ((E $$unsorted)) (and (tptp.v1_group_1 E) (tptp.m1_group_2 E B) (= D (tptp.u1_struct_0 E)) (tptp.r1_tarski C (tptp.k7_group_2 B E))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_group_1 B) (tptp.v4_group_1 B) (tptp.l1_group_1 B)) (= (tptp.r2_hidden A (tptp.a_1_0_group_4 B)) (exists ((C $$unsorted)) (and (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B))) (= A C) (exists ((D $$unsorted)) (and (tptp.v1_group_1 D) (tptp.m1_group_2 D B) (= C (tptp.u1_struct_0 D)) (tptp.v2_group_4 D B)))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v1_group_1 B) (tptp.v3_group_1 B) (tptp.v4_group_1 B) (tptp.l1_group_1 B)) (= (tptp.r2_hidden A (tptp.a_1_1_group_4 B)) (exists ((C $$unsorted)) (and (tptp.m1_subset_1 C (tptp.u1_struct_0 B)) (= A C) (not (tptp.v1_group_4 C B))))))) (forall ((A $$unsorted)) (= (tptp.r2_hidden A tptp.a_0_0_group_4) (exists ((B $$unsorted)) (and (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 tptp.f1_s1_group_4))) (= A B) (exists ((C $$unsorted)) (and (tptp.v1_group_1 C) (tptp.m1_group_2 C tptp.f1_s1_group_4) (= B (tptp.u1_struct_0 C)) (tptp.p1_s1_group_4 C))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v3_relat_2 B) (tptp.v8_relat_2 B) (tptp.v1_partfun1 B A A) (tptp.m1_relset_1 B A A)) (not (tptp.v1_xboole_0 (tptp.k7_eqrel_1 A B))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k8_filter_1 A B))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l3_lattices A) (not (tptp.v3_struct_0 B)) (tptp.l3_lattices B)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v3_lattices _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k8_filter_1 A B))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A) (not (tptp.v3_struct_0 B)) (tptp.v10_lattices B) (tptp.l3_lattices B)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v3_lattices _let_1) (tptp.v4_lattices _let_1) (tptp.v5_lattices _let_1) (tptp.v6_lattices _let_1) (tptp.v7_lattices _let_1) (tptp.v8_lattices _let_1) (tptp.v9_lattices _let_1) (tptp.v10_lattices _let_1))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_filter_0 B A) (forall ((C $$unsorted)) (=> (tptp.m1_filter_0 C A) (tptp.m1_filter_0 (tptp.k5_subset_1 (tptp.u1_struct_0 A) B C) A))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (=> (= (tptp.k2_filter_0 A B) (tptp.k2_filter_0 A C)) (= B C)))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (tptp.v1_relat_1 B) (forall ((C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C A A) (tptp.m2_relset_1 C A A)) (= (tptp.m1_filter_1 C A B) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D A) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E A) (=> (tptp.r2_hidden (tptp.k1_domain_1 A A D E) B) (tptp.r2_hidden (tptp.k1_domain_1 A A (tptp.k8_funct_2 A A C D) (tptp.k8_funct_2 A A C E)) B))))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (tptp.v1_relat_1 B) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_1 A) (tptp.m2_relset_1 C _let_1 A)) (= (tptp.m2_filter_1 C A B) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D A) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E A) (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F A) (forall ((G $$unsorted)) (=> (tptp.m1_subset_1 G A) (=> (and (tptp.r2_hidden (tptp.k1_domain_1 A A D E) B) (tptp.r2_hidden (tptp.k1_domain_1 A A F G) B)) (tptp.r2_hidden (tptp.k1_domain_1 A A (tptp.k2_binop_1 A A A C D F) (tptp.k2_binop_1 A A A C E G)) B)))))))))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (and (tptp.v3_relat_2 B) (tptp.v8_relat_2 B) (tptp.v1_partfun1 B A A) (tptp.m2_relset_1 B A A)) (forall ((C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C A A) (tptp.m2_relset_1 C A A)) (=> (tptp.m1_filter_1 C A B) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k8_eqrel_1 A B))) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D _let_1 _let_1) (tptp.m2_relset_1 D _let_1 _let_1)) (= (= D (tptp.k3_filter_1 A B C)) (forall ((E $$unsorted) (F $$unsorted)) (=> (and (tptp.r2_hidden E (tptp.k8_eqrel_1 A B)) (tptp.r2_hidden F E)) (= (tptp.k1_funct_1 D E) (tptp.k6_eqrel_1 A B (tptp.k1_funct_1 C F)))))))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (and (tptp.v3_relat_2 B) (tptp.v8_relat_2 B) (tptp.v1_partfun1 B A A) (tptp.m2_relset_1 B A A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_1 A) (tptp.m2_relset_1 C _let_1 A)) (=> (tptp.m2_filter_1 C A B) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k8_eqrel_1 A B))) (let ((_let_2 (tptp.k2_zfmisc_1 _let_1 _let_1))) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D _let_2 _let_1) (tptp.m2_relset_1 D _let_2 _let_1)) (= (= D (tptp.k4_filter_1 A B C)) (forall ((E $$unsorted) (F $$unsorted) (G $$unsorted) (H $$unsorted)) (let ((_let_1 (tptp.k8_eqrel_1 A B))) (=> (and (tptp.r2_hidden E _let_1) (tptp.r2_hidden F _let_1) (tptp.r2_hidden G E) (tptp.r2_hidden H F)) (= (tptp.k1_binop_1 D E F) (tptp.k6_eqrel_1 A B (tptp.k1_binop_1 C G H))))))))))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (and (tptp.v3_relat_2 B) (tptp.v8_relat_2 B) (tptp.v1_partfun1 B A A) (tptp.m2_relset_1 B A A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C A) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D A) (forall ((E $$unsorted)) (let ((_let_1 (tptp.k8_eqrel_1 A B))) (=> (tptp.m2_filter_1 E A B) (= (tptp.k2_binop_1 _let_1 _let_1 _let_1 (tptp.k4_filter_1 A B E) (tptp.k2_filter_1 A B C) (tptp.k2_filter_1 A B D)) (tptp.k2_filter_1 A B (tptp.k2_binop_1 A A A E C D)))))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (and (tptp.v3_relat_2 B) (tptp.v8_relat_2 B) (tptp.v1_partfun1 B A A) (tptp.m2_relset_1 B A A)) (forall ((C $$unsorted)) (=> (tptp.m2_filter_1 C A B) (=> (tptp.v1_binop_1 C A) (tptp.v1_binop_1 (tptp.k4_filter_1 A B C) (tptp.k8_eqrel_1 A B))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (and (tptp.v3_relat_2 B) (tptp.v8_relat_2 B) (tptp.v1_partfun1 B A A) (tptp.m2_relset_1 B A A)) (forall ((C $$unsorted)) (=> (tptp.m2_filter_1 C A B) (=> (tptp.v2_binop_1 C A) (tptp.v2_binop_1 (tptp.k4_filter_1 A B C) (tptp.k8_eqrel_1 A B))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (and (tptp.v3_relat_2 B) (tptp.v8_relat_2 B) (tptp.v1_partfun1 B A A) (tptp.m2_relset_1 B A A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C A) (forall ((D $$unsorted)) (=> (tptp.m2_filter_1 D A B) (=> (tptp.r1_binop_1 A C D) (tptp.r1_binop_1 (tptp.k8_eqrel_1 A B) (tptp.k2_filter_1 A B C) (tptp.k4_filter_1 A B D))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (and (tptp.v3_relat_2 B) (tptp.v8_relat_2 B) (tptp.v1_partfun1 B A A) (tptp.m2_relset_1 B A A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C A) (forall ((D $$unsorted)) (=> (tptp.m2_filter_1 D A B) (=> (tptp.r2_binop_1 A C D) (tptp.r2_binop_1 (tptp.k8_eqrel_1 A B) (tptp.k2_filter_1 A B C) (tptp.k4_filter_1 A B D))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (and (tptp.v3_relat_2 B) (tptp.v8_relat_2 B) (tptp.v1_partfun1 B A A) (tptp.m2_relset_1 B A A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C A) (forall ((D $$unsorted)) (=> (tptp.m2_filter_1 D A B) (=> (tptp.r3_binop_1 A C D) (tptp.r3_binop_1 (tptp.k8_eqrel_1 A B) (tptp.k2_filter_1 A B C) (tptp.k4_filter_1 A B D))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (and (tptp.v3_relat_2 B) (tptp.v8_relat_2 B) (tptp.v1_partfun1 B A A) (tptp.m2_relset_1 B A A)) (forall ((C $$unsorted)) (=> (tptp.m2_filter_1 C A B) (forall ((D $$unsorted)) (=> (tptp.m2_filter_1 D A B) (=> (tptp.r4_binop_1 A C D) (tptp.r4_binop_1 (tptp.k8_eqrel_1 A B) (tptp.k4_filter_1 A B C) (tptp.k4_filter_1 A B D))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (and (tptp.v3_relat_2 B) (tptp.v8_relat_2 B) (tptp.v1_partfun1 B A A) (tptp.m2_relset_1 B A A)) (forall ((C $$unsorted)) (=> (tptp.m2_filter_1 C A B) (forall ((D $$unsorted)) (=> (tptp.m2_filter_1 D A B) (=> (tptp.r5_binop_1 A C D) (tptp.r5_binop_1 (tptp.k8_eqrel_1 A B) (tptp.k4_filter_1 A B C) (tptp.k4_filter_1 A B D))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (and (tptp.v3_relat_2 B) (tptp.v8_relat_2 B) (tptp.v1_partfun1 B A A) (tptp.m2_relset_1 B A A)) (forall ((C $$unsorted)) (=> (tptp.m2_filter_1 C A B) (forall ((D $$unsorted)) (=> (tptp.m2_filter_1 D A B) (=> (tptp.r6_binop_1 A C D) (tptp.r6_binop_1 (tptp.k8_eqrel_1 A B) (tptp.k4_filter_1 A B C) (tptp.k4_filter_1 A B D))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (and (tptp.v3_relat_2 B) (tptp.v8_relat_2 B) (tptp.v1_partfun1 B A A) (tptp.m2_relset_1 B A A)) (forall ((C $$unsorted)) (=> (tptp.m2_filter_1 C A B) (forall ((D $$unsorted)) (=> (tptp.m2_filter_1 D A B) (=> (tptp.r1_lattice2 A C D) (tptp.r1_lattice2 (tptp.k8_eqrel_1 A B) (tptp.k4_filter_1 A B C) (tptp.k4_filter_1 A B D))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v3_filter_0 A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_filter_0 B A) (tptp.m2_filter_1 (tptp.u2_lattices A) (tptp.u1_struct_0 A) (tptp.k11_filter_0 A B)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v3_filter_0 A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_filter_0 B A) (tptp.m2_filter_1 (tptp.u1_lattices A) (tptp.u1_struct_0 A) (tptp.k11_filter_0 A B)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_filter_0 B A) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v3_filter_0 A) (tptp.l3_lattices A)) (forall ((C $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.v3_lattices C) (tptp.v10_lattices C) (tptp.l3_lattices C)) (= (= C (tptp.k5_filter_1 A B)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (tptp.v3_relat_2 D) (tptp.v8_relat_2 D) (tptp.v1_partfun1 D _let_1 _let_1) (tptp.m2_relset_1 D _let_1 _let_1)) (=> (= D (tptp.k10_filter_0 A B)) (= C (tptp.g3_lattices (tptp.k8_eqrel_1 _let_1 D) (tptp.k4_filter_1 _let_1 D (tptp.u2_lattices A)) (tptp.k4_filter_1 _let_1 D (tptp.u1_lattices A)))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_filter_0 B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v3_filter_0 A) (tptp.l3_lattices A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 (tptp.k5_filter_1 A B))) (= (= D (tptp.k6_filter_1 A B C)) (forall ((E $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (tptp.v3_relat_2 E) (tptp.v8_relat_2 E) (tptp.v1_partfun1 E _let_1 _let_1) (tptp.m2_relset_1 E _let_1 _let_1)) (=> (= E (tptp.k10_filter_0 A B)) (= D (tptp.k2_filter_1 _let_1 E C)))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v3_filter_0 A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_filter_0 B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k6_filter_1 A B D))) (let ((_let_2 (tptp.k6_filter_1 A B C))) (let ((_let_3 (tptp.k5_filter_1 A B))) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (and (= (tptp.k3_lattices _let_3 _let_2 _let_1) (tptp.k6_filter_1 A B (tptp.k3_lattices A C D))) (= (tptp.k4_lattices _let_3 _let_2 _let_1) (tptp.k6_filter_1 A B (tptp.k4_lattices A C D))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v3_filter_0 A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_filter_0 B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (= (tptp.r3_lattices (tptp.k5_filter_1 A B) (tptp.k6_filter_1 A B C) (tptp.k6_filter_1 A B D)) (tptp.r2_hidden (tptp.k4_filter_0 A C D) B)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v3_filter_0 A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (= (tptp.k4_filter_0 A (tptp.k4_lattices A B C) D) (tptp.k4_filter_0 A B (tptp.k4_filter_0 A C D))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v3_filter_0 A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k5_filter_1 A B))) (=> (tptp.m1_filter_0 B A) (=> (tptp.v13_lattices A) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v10_lattices _let_1) (tptp.v13_lattices _let_1) (tptp.l3_lattices _let_1) (= (tptp.k5_lattices _let_1) (tptp.k6_filter_1 A B (tptp.k5_lattices A)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v3_filter_0 A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k5_filter_1 A B))) (=> (tptp.m1_filter_0 B A) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v10_lattices _let_1) (tptp.v14_lattices _let_1) (tptp.l3_lattices _let_1) (= (tptp.k6_lattices _let_1) (tptp.k6_filter_1 A B (tptp.k6_lattices A))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v3_filter_0 A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_filter_0 B A) (tptp.v3_filter_0 (tptp.k5_filter_1 A B)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v17_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k5_filter_1 A B))) (=> (tptp.m1_filter_0 B A) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v10_lattices _let_1) (tptp.v17_lattices _let_1) (tptp.l3_lattices _let_1))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C A) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D A) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E B) (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F B) (forall ((G $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 G) (tptp.v1_funct_2 G _let_1 A) (tptp.m2_relset_1 G _let_1 A)) (forall ((H $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A B))) (let ((_let_2 (tptp.k2_zfmisc_1 B B))) (=> (and (tptp.v1_funct_1 H) (tptp.v1_funct_2 H _let_2 B) (tptp.m2_relset_1 H _let_2 B)) (= (tptp.k2_binop_1 _let_1 _let_1 _let_1 (tptp.k7_filter_1 A B G H) (tptp.k1_domain_1 A B C E) (tptp.k1_domain_1 A B D F)) (tptp.k1_domain_1 A B (tptp.k2_binop_1 A A A G C D) (tptp.k2_binop_1 B B B H E F)))))))))))))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_1 A) (tptp.m2_relset_1 C _let_1 A)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 B B))) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D _let_1 B) (tptp.m2_relset_1 D _let_1 B)) (= (and (tptp.v1_binop_1 C A) (tptp.v1_binop_1 D B)) (tptp.v1_binop_1 (tptp.k7_filter_1 A B C D) (tptp.k2_zfmisc_1 A B))))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_1 A) (tptp.m2_relset_1 C _let_1 A)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 B B))) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D _let_1 B) (tptp.m2_relset_1 D _let_1 B)) (= (and (tptp.v2_binop_1 C A) (tptp.v2_binop_1 D B)) (tptp.v2_binop_1 (tptp.k7_filter_1 A B C D) (tptp.k2_zfmisc_1 A B))))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C A) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D B) (forall ((E $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 E) (tptp.v1_funct_2 E _let_1 A) (tptp.m2_relset_1 E _let_1 A)) (forall ((F $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 B B))) (=> (and (tptp.v1_funct_1 F) (tptp.v1_funct_2 F _let_1 B) (tptp.m2_relset_1 F _let_1 B)) (= (and (tptp.r1_binop_1 A C E) (tptp.r1_binop_1 B D F)) (tptp.r1_binop_1 (tptp.k2_zfmisc_1 A B) (tptp.k1_domain_1 A B C D) (tptp.k7_filter_1 A B E F))))))))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C A) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D B) (forall ((E $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 E) (tptp.v1_funct_2 E _let_1 A) (tptp.m2_relset_1 E _let_1 A)) (forall ((F $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 B B))) (=> (and (tptp.v1_funct_1 F) (tptp.v1_funct_2 F _let_1 B) (tptp.m2_relset_1 F _let_1 B)) (= (and (tptp.r2_binop_1 A C E) (tptp.r2_binop_1 B D F)) (tptp.r2_binop_1 (tptp.k2_zfmisc_1 A B) (tptp.k1_domain_1 A B C D) (tptp.k7_filter_1 A B E F))))))))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C A) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D B) (forall ((E $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 E) (tptp.v1_funct_2 E _let_1 A) (tptp.m2_relset_1 E _let_1 A)) (forall ((F $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 B B))) (=> (and (tptp.v1_funct_1 F) (tptp.v1_funct_2 F _let_1 B) (tptp.m2_relset_1 F _let_1 B)) (= (and (tptp.r3_binop_1 A C E) (tptp.r3_binop_1 B D F)) (tptp.r3_binop_1 (tptp.k2_zfmisc_1 A B) (tptp.k1_domain_1 A B C D) (tptp.k7_filter_1 A B E F))))))))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_1 A) (tptp.m2_relset_1 C _let_1 A)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D _let_1 A) (tptp.m2_relset_1 D _let_1 A)) (forall ((E $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 B B))) (=> (and (tptp.v1_funct_1 E) (tptp.v1_funct_2 E _let_1 B) (tptp.m2_relset_1 E _let_1 B)) (forall ((F $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 B B))) (=> (and (tptp.v1_funct_1 F) (tptp.v1_funct_2 F _let_1 B) (tptp.m2_relset_1 F _let_1 B)) (= (and (tptp.r4_binop_1 A C D) (tptp.r4_binop_1 B E F)) (tptp.r4_binop_1 (tptp.k2_zfmisc_1 A B) (tptp.k7_filter_1 A B C E) (tptp.k7_filter_1 A B D F))))))))))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_1 A) (tptp.m2_relset_1 C _let_1 A)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D _let_1 A) (tptp.m2_relset_1 D _let_1 A)) (forall ((E $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 B B))) (=> (and (tptp.v1_funct_1 E) (tptp.v1_funct_2 E _let_1 B) (tptp.m2_relset_1 E _let_1 B)) (forall ((F $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 B B))) (=> (and (tptp.v1_funct_1 F) (tptp.v1_funct_2 F _let_1 B) (tptp.m2_relset_1 F _let_1 B)) (= (and (tptp.r5_binop_1 A C D) (tptp.r5_binop_1 B E F)) (tptp.r5_binop_1 (tptp.k2_zfmisc_1 A B) (tptp.k7_filter_1 A B C E) (tptp.k7_filter_1 A B D F))))))))))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_1 A) (tptp.m2_relset_1 C _let_1 A)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D _let_1 A) (tptp.m2_relset_1 D _let_1 A)) (forall ((E $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 B B))) (=> (and (tptp.v1_funct_1 E) (tptp.v1_funct_2 E _let_1 B) (tptp.m2_relset_1 E _let_1 B)) (forall ((F $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 B B))) (=> (and (tptp.v1_funct_1 F) (tptp.v1_funct_2 F _let_1 B) (tptp.m2_relset_1 F _let_1 B)) (= (and (tptp.r6_binop_1 A C D) (tptp.r6_binop_1 B E F)) (tptp.r6_binop_1 (tptp.k2_zfmisc_1 A B) (tptp.k7_filter_1 A B C E) (tptp.k7_filter_1 A B D F))))))))))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_1 A) (tptp.m2_relset_1 C _let_1 A)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D _let_1 A) (tptp.m2_relset_1 D _let_1 A)) (forall ((E $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 B B))) (=> (and (tptp.v1_funct_1 E) (tptp.v1_funct_2 E _let_1 B) (tptp.m2_relset_1 E _let_1 B)) (forall ((F $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 B B))) (=> (and (tptp.v1_funct_1 F) (tptp.v1_funct_2 F _let_1 B) (tptp.m2_relset_1 F _let_1 B)) (= (and (tptp.r1_lattice2 A C D) (tptp.r1_lattice2 B E F)) (tptp.r1_lattice2 (tptp.k2_zfmisc_1 A B) (tptp.k7_filter_1 A B C E) (tptp.k7_filter_1 A B D F))))))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v3_struct_0 B)) (tptp.l3_lattices B)) (= (tptp.k8_filter_1 A B) (tptp.g3_lattices (tptp.k2_zfmisc_1 _let_2 _let_1) (tptp.k7_filter_1 _let_2 _let_1 (tptp.u2_lattices A) (tptp.u2_lattices B)) (tptp.k7_filter_1 _let_2 _let_1 (tptp.u1_lattices A) (tptp.u1_lattices B)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 C _let_1) (= (tptp.r2_hidden (tptp.k1_domain_1 _let_1 _let_1 B C) (tptp.k9_filter_1 A)) (tptp.r3_lattices A B C))))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.k9_filter_1 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (and (= (tptp.k1_relat_1 _let_2) _let_1) (= (tptp.k2_relat_1 _let_2) _let_1) (= (tptp.k3_relat_1 _let_2) _let_1)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v10_lattices B) (tptp.l3_lattices B)) (= (tptp.r1_filter_1 A B) (tptp.r4_wellord1 (tptp.k9_filter_1 A) (tptp.k9_filter_1 B))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v10_lattices B) (tptp.l3_lattices B)) (forall ((C $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.v10_lattices C) (tptp.l3_lattices C)) (=> (and (tptp.r1_filter_1 A B) (tptp.r1_filter_1 B C)) (tptp.r1_filter_1 A C)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.l3_lattices B))) (let ((_let_2 (not (tptp.v3_struct_0 B)))) (let ((_let_3 (tptp.k8_filter_1 A B))) (=> (and _let_2 _let_1) (=> (and (not (tptp.v3_struct_0 _let_3)) (tptp.v10_lattices _let_3) (tptp.l3_lattices _let_3)) (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A) _let_2 (tptp.v10_lattices B) _let_1))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v10_lattices B) (tptp.l3_lattices B)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.u1_struct_0 B)) (forall ((F $$unsorted)) (let ((_let_1 (tptp.k10_filter_1 A B D F))) (let ((_let_2 (tptp.k10_filter_1 A B C E))) (let ((_let_3 (tptp.k8_filter_1 A B))) (=> (tptp.m1_subset_1 F (tptp.u1_struct_0 B)) (and (= (tptp.k3_lattices _let_3 _let_2 _let_1) (tptp.k10_filter_1 A B (tptp.k3_lattices A C D) (tptp.k3_lattices B E F))) (= (tptp.k4_lattices _let_3 _let_2 _let_1) (tptp.k10_filter_1 A B (tptp.k4_lattices A C D) (tptp.k4_lattices B E F))))))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v10_lattices B) (tptp.l3_lattices B)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.u1_struct_0 B)) (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F (tptp.u1_struct_0 B)) (= (tptp.r3_lattices (tptp.k8_filter_1 A B) (tptp.k10_filter_1 A B C E) (tptp.k10_filter_1 A B D F)) (and (tptp.r3_lattices A C D) (tptp.r3_lattices B E F))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v10_lattices B) (tptp.l3_lattices B)) (= (and (tptp.v12_lattices A) (tptp.v12_lattices B)) (tptp.v12_lattices (tptp.k8_filter_1 A B))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k8_filter_1 A B))) (let ((_let_2 (tptp.l3_lattices B))) (let ((_let_3 (tptp.v10_lattices B))) (let ((_let_4 (not (tptp.v3_struct_0 B)))) (=> (and _let_4 _let_3 _let_2) (= (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v11_lattices A) (tptp.l3_lattices A) _let_4 _let_3 (tptp.v11_lattices B) _let_2) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v10_lattices _let_1) (tptp.v11_lattices _let_1) (tptp.l3_lattices _let_1))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v10_lattices B) (tptp.l3_lattices B)) (= (and (tptp.v13_lattices A) (tptp.v13_lattices B)) (tptp.v13_lattices (tptp.k8_filter_1 A B))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v10_lattices B) (tptp.l3_lattices B)) (= (and (tptp.v14_lattices A) (tptp.v14_lattices B)) (tptp.v14_lattices (tptp.k8_filter_1 A B))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v10_lattices B) (tptp.l3_lattices B)) (= (and (tptp.v15_lattices A) (tptp.v15_lattices B)) (tptp.v15_lattices (tptp.k8_filter_1 A B))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.l3_lattices B))) (let ((_let_2 (tptp.v10_lattices B))) (let ((_let_3 (not (tptp.v3_struct_0 B)))) (=> (and _let_3 _let_2 _let_1) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v13_lattices A) (tptp.l3_lattices A) _let_3 _let_2 (tptp.v13_lattices B) _let_1) (= (tptp.k5_lattices (tptp.k8_filter_1 A B)) (tptp.k10_filter_1 A B (tptp.k5_lattices A) (tptp.k5_lattices B))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.l3_lattices B))) (let ((_let_2 (tptp.v10_lattices B))) (let ((_let_3 (not (tptp.v3_struct_0 B)))) (=> (and _let_3 _let_2 _let_1) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v14_lattices A) (tptp.l3_lattices A) _let_3 _let_2 (tptp.v14_lattices B) _let_1) (= (tptp.k6_lattices (tptp.k8_filter_1 A B)) (tptp.k10_filter_1 A B (tptp.k6_lattices A) (tptp.k6_lattices B))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v10_lattices B) (tptp.l3_lattices B)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.u1_struct_0 B)) (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F (tptp.u1_struct_0 B)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v15_lattices A) (tptp.l3_lattices A) (not (tptp.v3_struct_0 B)) (tptp.v10_lattices B) (tptp.v15_lattices B) (tptp.l3_lattices B)) (= (and (tptp.r2_lattices A C D) (tptp.r2_lattices B E F)) (tptp.r2_lattices (tptp.k8_filter_1 A B) (tptp.k10_filter_1 A B C E) (tptp.k10_filter_1 A B D F)))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k8_filter_1 A B))) (let ((_let_2 (tptp.l3_lattices B))) (let ((_let_3 (tptp.v10_lattices B))) (let ((_let_4 (not (tptp.v3_struct_0 B)))) (=> (and _let_4 _let_3 _let_2) (= (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v15_lattices A) (tptp.v16_lattices A) (tptp.l3_lattices A) _let_4 _let_3 (tptp.v15_lattices B) (tptp.v16_lattices B) _let_2) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v10_lattices _let_1) (tptp.v15_lattices _let_1) (tptp.v16_lattices _let_1) (tptp.l3_lattices _let_1))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k8_filter_1 A B))) (let ((_let_2 (tptp.l3_lattices B))) (let ((_let_3 (tptp.v10_lattices B))) (let ((_let_4 (not (tptp.v3_struct_0 B)))) (=> (and _let_4 _let_3 _let_2) (= (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v17_lattices A) (tptp.l3_lattices A) _let_4 _let_3 (tptp.v17_lattices B) _let_2) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v10_lattices _let_1) (tptp.v17_lattices _let_1) (tptp.l3_lattices _let_1))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v10_lattices B) (tptp.l3_lattices B)) (= (and (tptp.v3_filter_0 A) (tptp.v3_filter_0 B)) (tptp.v3_filter_0 (tptp.k8_filter_1 A B))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v10_lattices B) (tptp.l3_lattices B)) (= (tptp.k1_lattice2 (tptp.k8_filter_1 A B)) (tptp.k8_filter_1 (tptp.k1_lattice2 A) (tptp.k1_lattice2 B))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v10_lattices B) (tptp.l3_lattices B)) (tptp.r1_filter_1 (tptp.k8_filter_1 A B) (tptp.k8_filter_1 B A)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v17_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (tptp.k9_filter_0 A B C) (tptp.k3_lattices A (tptp.k4_lattices A B C) (tptp.k4_lattices A (tptp.k7_lattices A B) (tptp.k7_lattices A C)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v17_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k7_lattices A B))) (let ((_let_2 (tptp.k7_lattices A (tptp.k9_filter_0 A B C)))) (let ((_let_3 (tptp.k7_lattices A C))) (let ((_let_4 (tptp.k4_lattices A B _let_3))) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (and (= (tptp.k7_lattices A (tptp.k4_filter_0 A B C)) _let_4) (= _let_2 (tptp.k3_lattices A _let_4 (tptp.k4_lattices A _let_1 C))) (= _let_2 (tptp.k9_filter_0 A B _let_3)) (= _let_2 (tptp.k9_filter_0 A _let_1 C))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v17_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (=> (= (tptp.k9_filter_0 A B C) (tptp.k9_filter_0 A B D)) (= C D)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v17_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (tptp.k9_filter_0 A B (tptp.k9_filter_0 A B C)) C))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v3_filter_0 A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (and (= (tptp.k4_filter_0 A (tptp.k3_lattices A B C) B) (tptp.k4_filter_0 A C B)) (= (tptp.k4_filter_0 A B (tptp.k4_lattices A B C)) (tptp.k4_filter_0 A B C))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v3_filter_0 A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k4_filter_0 A B C))) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (and (tptp.r3_lattices A _let_1 (tptp.k4_filter_0 A B (tptp.k3_lattices A C D))) (tptp.r3_lattices A _let_1 (tptp.k4_filter_0 A (tptp.k4_lattices A B D) C)) (tptp.r3_lattices A _let_1 (tptp.k4_filter_0 A B (tptp.k3_lattices A D C))) (tptp.r3_lattices A _let_1 (tptp.k4_filter_0 A (tptp.k4_lattices A D B) C)))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v3_filter_0 A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (tptp.r3_lattices A (tptp.k4_lattices A (tptp.k4_filter_0 A B C) (tptp.k4_filter_0 A D C)) (tptp.k4_filter_0 A (tptp.k3_lattices A B D) C)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v3_filter_0 A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (tptp.r3_lattices A (tptp.k4_lattices A (tptp.k4_filter_0 A B C) (tptp.k4_filter_0 A B D)) (tptp.k4_filter_0 A B (tptp.k4_lattices A C D))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v3_filter_0 A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_filter_0 B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.u1_struct_0 A)) (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F (tptp.u1_struct_0 A)) (=> (and (tptp.r2_hidden (tptp.k9_filter_0 A C D) B) (tptp.r2_hidden (tptp.k9_filter_0 A E F) B)) (and (tptp.r2_hidden (tptp.k9_filter_0 A (tptp.k3_lattices A C E) (tptp.k3_lattices A D F)) B) (tptp.r2_hidden (tptp.k9_filter_0 A (tptp.k4_lattices A C E) (tptp.k4_lattices A D F)) B))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v3_filter_0 A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_filter_0 B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (forall ((E $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.k2_filter_1 _let_1 (tptp.k11_filter_0 A B) D))) (=> (tptp.m1_subset_1 E _let_1) (=> (and (tptp.r2_hidden C _let_2) (tptp.r2_hidden E _let_2)) (and (tptp.r2_hidden (tptp.k3_lattices A C E) _let_2) (tptp.r2_hidden (tptp.k4_lattices A C E) _let_2))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v17_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 C _let_1) (and (tptp.r2_hidden (tptp.k3_lattices A B (tptp.k9_filter_0 A B C)) (tptp.k2_filter_1 _let_1 (tptp.k12_filter_0 A (tptp.k2_filter_0 A C)) B)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 D _let_1) (=> (tptp.r2_hidden D (tptp.k2_filter_1 _let_1 (tptp.k12_filter_0 A (tptp.k2_filter_0 A C)) B)) (tptp.r3_lattices A D (tptp.k3_lattices A B (tptp.k9_filter_0 A B C))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v17_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k2_filter_0 A B))) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (tptp.r1_filter_1 A (tptp.k8_filter_1 (tptp.k5_filter_1 A _let_1) (tptp.k8_filter_0 A _let_1)))))))) (=> (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.f1_s1_filter_1) (tptp.p1_s1_filter_1 (tptp.k2_filter_1 tptp.f1_s1_filter_1 tptp.f2_s1_filter_1 A)))) (forall ((A $$unsorted)) (=> (tptp.m2_subset_1 A (tptp.k1_zfmisc_1 tptp.f1_s1_filter_1) (tptp.k8_eqrel_1 tptp.f1_s1_filter_1 tptp.f2_s1_filter_1)) (tptp.p1_s1_filter_1 A)))) (=> (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.f1_s2_filter_1) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.f1_s2_filter_1) (tptp.p1_s2_filter_1 (tptp.k2_filter_1 tptp.f1_s2_filter_1 tptp.f2_s2_filter_1 A) (tptp.k2_filter_1 tptp.f1_s2_filter_1 tptp.f2_s2_filter_1 B)))))) (forall ((A $$unsorted)) (=> (tptp.m2_subset_1 A (tptp.k1_zfmisc_1 tptp.f1_s2_filter_1) (tptp.k8_eqrel_1 tptp.f1_s2_filter_1 tptp.f2_s2_filter_1)) (forall ((B $$unsorted)) (=> (tptp.m2_subset_1 B (tptp.k1_zfmisc_1 tptp.f1_s2_filter_1) (tptp.k8_eqrel_1 tptp.f1_s2_filter_1 tptp.f2_s2_filter_1)) (tptp.p1_s2_filter_1 A B)))))) (=> (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.f1_s3_filter_1) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.f1_s3_filter_1) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C tptp.f1_s3_filter_1) (tptp.p1_s3_filter_1 (tptp.k2_filter_1 tptp.f1_s3_filter_1 tptp.f2_s3_filter_1 A) (tptp.k2_filter_1 tptp.f1_s3_filter_1 tptp.f2_s3_filter_1 B) (tptp.k2_filter_1 tptp.f1_s3_filter_1 tptp.f2_s3_filter_1 C)))))))) (forall ((A $$unsorted)) (=> (tptp.m2_subset_1 A (tptp.k1_zfmisc_1 tptp.f1_s3_filter_1) (tptp.k8_eqrel_1 tptp.f1_s3_filter_1 tptp.f2_s3_filter_1)) (forall ((B $$unsorted)) (=> (tptp.m2_subset_1 B (tptp.k1_zfmisc_1 tptp.f1_s3_filter_1) (tptp.k8_eqrel_1 tptp.f1_s3_filter_1 tptp.f2_s3_filter_1)) (forall ((C $$unsorted)) (=> (tptp.m2_subset_1 C (tptp.k1_zfmisc_1 tptp.f1_s3_filter_1) (tptp.k8_eqrel_1 tptp.f1_s3_filter_1 tptp.f2_s3_filter_1)) (tptp.p1_s3_filter_1 A B C)))))))) (=> (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.f1_s4_filter_1) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.f2_s4_filter_1) (tptp.p1_s4_filter_1 (tptp.k1_domain_1 tptp.f1_s4_filter_1 tptp.f2_s4_filter_1 A B)))))) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A (tptp.k2_zfmisc_1 tptp.f1_s4_filter_1 tptp.f2_s4_filter_1)) (tptp.p1_s4_filter_1 A)))) (=> (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.f1_s5_filter_1) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.f1_s5_filter_1) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C tptp.f2_s5_filter_1) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D tptp.f2_s5_filter_1) (tptp.p1_s5_filter_1 (tptp.k1_domain_1 tptp.f1_s5_filter_1 tptp.f2_s5_filter_1 A C) (tptp.k1_domain_1 tptp.f1_s5_filter_1 tptp.f2_s5_filter_1 B D)))))))))) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A (tptp.k2_zfmisc_1 tptp.f1_s5_filter_1 tptp.f2_s5_filter_1)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k2_zfmisc_1 tptp.f1_s5_filter_1 tptp.f2_s5_filter_1)) (tptp.p1_s5_filter_1 A B)))))) (=> (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.f1_s6_filter_1) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.f1_s6_filter_1) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C tptp.f1_s6_filter_1) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D tptp.f2_s6_filter_1) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E tptp.f2_s6_filter_1) (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F tptp.f2_s6_filter_1) (tptp.p1_s6_filter_1 (tptp.k1_domain_1 tptp.f1_s6_filter_1 tptp.f2_s6_filter_1 A D) (tptp.k1_domain_1 tptp.f1_s6_filter_1 tptp.f2_s6_filter_1 B E) (tptp.k1_domain_1 tptp.f1_s6_filter_1 tptp.f2_s6_filter_1 C F)))))))))))))) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A (tptp.k2_zfmisc_1 tptp.f1_s6_filter_1 tptp.f2_s6_filter_1)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k2_zfmisc_1 tptp.f1_s6_filter_1 tptp.f2_s6_filter_1)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k2_zfmisc_1 tptp.f1_s6_filter_1 tptp.f2_s6_filter_1)) (tptp.p1_s6_filter_1 A B C)))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v1_relat_1 B)) (forall ((C $$unsorted)) (=> (tptp.m1_filter_1 C A B) (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C A A) (tptp.m2_relset_1 C A A)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v1_relat_1 B)) (exists ((C $$unsorted)) (tptp.m1_filter_1 C A B)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v1_relat_1 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A A))) (=> (tptp.m2_filter_1 C A B) (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_1 A) (tptp.m2_relset_1 C _let_1 A))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v1_relat_1 B)) (exists ((C $$unsorted)) (tptp.m2_filter_1 C A B)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A) (not (tptp.v3_struct_0 B)) (tptp.v10_lattices B) (tptp.l3_lattices B)) (=> (tptp.r1_filter_1 A B) (tptp.r1_filter_1 B A)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A) (not (tptp.v3_struct_0 B)) (tptp.v10_lattices B) (tptp.l3_lattices B)) (tptp.r1_filter_1 A A))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A) (tptp.m1_filter_0 B A) (tptp.m1_filter_0 C A)) (tptp.m1_filter_0 (tptp.k1_filter_1 A B C) A))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A) (tptp.m1_filter_0 B A) (tptp.m1_filter_0 C A)) (= (tptp.k1_filter_1 A B C) (tptp.k1_filter_1 A C B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A) (tptp.m1_filter_0 B A) (tptp.m1_filter_0 C A)) (= (tptp.k1_filter_1 A B B) B))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A) (tptp.m1_filter_0 B A) (tptp.m1_filter_0 C A)) (= (tptp.k1_filter_1 A B C) (tptp.k3_xboole_0 B C)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v3_relat_2 B) (tptp.v8_relat_2 B) (tptp.v1_partfun1 B A A) (tptp.m1_relset_1 B A A) (tptp.m1_subset_1 C A)) (tptp.m2_subset_1 (tptp.k2_filter_1 A B C) (tptp.k1_zfmisc_1 A) (tptp.k8_eqrel_1 A B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v3_relat_2 B) (tptp.v8_relat_2 B) (tptp.v1_partfun1 B A A) (tptp.m1_relset_1 B A A) (tptp.m1_subset_1 C A)) (= (tptp.k2_filter_1 A B C) (tptp.k6_eqrel_1 A B C)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k8_eqrel_1 A B))) (let ((_let_2 (tptp.k3_filter_1 A B C))) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v3_relat_2 B) (tptp.v8_relat_2 B) (tptp.v1_partfun1 B A A) (tptp.m1_relset_1 B A A) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C A A) (tptp.m1_relset_1 C A A)) (and (tptp.v1_funct_1 _let_2) (tptp.v1_funct_2 _let_2 _let_1 _let_1) (tptp.m2_relset_1 _let_2 _let_1 _let_1)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k8_eqrel_1 A B))) (let ((_let_2 (tptp.k2_zfmisc_1 _let_1 _let_1))) (let ((_let_3 (tptp.k4_filter_1 A B C))) (let ((_let_4 (tptp.k2_zfmisc_1 A A))) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v3_relat_2 B) (tptp.v8_relat_2 B) (tptp.v1_partfun1 B A A) (tptp.m1_relset_1 B A A) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_4 A) (tptp.m1_relset_1 C _let_4 A)) (and (tptp.v1_funct_1 _let_3) (tptp.v1_funct_2 _let_3 _let_2 _let_1) (tptp.m2_relset_1 _let_3 _let_2 _let_1)))))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k5_filter_1 A B))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A) (tptp.m1_filter_0 B A)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v3_lattices _let_1) (tptp.v10_lattices _let_1) (tptp.l3_lattices _let_1))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A) (tptp.m1_filter_0 B A) (tptp.m1_subset_1 C (tptp.u1_struct_0 A))) (tptp.m1_subset_1 (tptp.k6_filter_1 A B C) (tptp.u1_struct_0 (tptp.k5_filter_1 A B))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A B))) (let ((_let_2 (tptp.k2_zfmisc_1 _let_1 _let_1))) (let ((_let_3 (tptp.k7_filter_1 A B C D))) (let ((_let_4 (tptp.k2_zfmisc_1 B B))) (let ((_let_5 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_5 A) (tptp.m1_relset_1 C _let_5 A) (tptp.v1_funct_1 D) (tptp.v1_funct_2 D _let_4 B) (tptp.m1_relset_1 D _let_4 B)) (and (tptp.v1_funct_1 _let_3) (tptp.v1_funct_2 _let_3 _let_2 _let_1) (tptp.m2_relset_1 _let_3 _let_2 _let_1))))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 B B))) (let ((_let_2 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 A) (tptp.m1_relset_1 C _let_2 A) (tptp.v1_funct_1 D) (tptp.v1_funct_2 D _let_1 B) (tptp.m1_relset_1 D _let_1 B)) (= (tptp.k7_filter_1 A B C D) (tptp.k3_funct_4 C D)))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k8_filter_1 A B))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l3_lattices A) (not (tptp.v3_struct_0 B)) (tptp.l3_lattices B)) (and (tptp.v3_lattices _let_1) (tptp.l3_lattices _let_1))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (tptp.v1_relat_1 (tptp.k9_filter_1 A)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A) (not (tptp.v3_struct_0 B)) (tptp.v10_lattices B) (tptp.l3_lattices B) (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (tptp.m1_subset_1 D (tptp.u1_struct_0 B))) (tptp.m1_subset_1 (tptp.k10_filter_1 A B C D) (tptp.u1_struct_0 (tptp.k8_filter_1 A B))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A) (not (tptp.v3_struct_0 B)) (tptp.v10_lattices B) (tptp.l3_lattices B) (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (tptp.m1_subset_1 D (tptp.u1_struct_0 B))) (= (tptp.k10_filter_1 A B C D) (tptp.k4_tarski C D)))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (= (tptp.k9_filter_1 A) (tptp.a_1_0_filter_1 A)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v10_lattices B) (tptp.l3_lattices B)) (= (tptp.r2_hidden A (tptp.a_1_0_filter_1 B)) (exists ((C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (and (tptp.m1_subset_1 C _let_1) (tptp.m1_subset_1 D _let_1) (= A (tptp.k1_domain_1 _let_1 _let_1 C D)) (tptp.r3_lattices B C D))))))) (forall ((A $$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.k1_lattice3 A))) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v3_lattices _let_1)))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k1_lattice3 A))) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v3_lattices _let_1) (tptp.v4_lattices _let_1) (tptp.v5_lattices _let_1) (tptp.v6_lattices _let_1) (tptp.v7_lattices _let_1) (tptp.v8_lattices _let_1) (tptp.v9_lattices _let_1) (tptp.v10_lattices _let_1)))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k1_lattice3 A))) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v3_lattices _let_1) (tptp.v4_lattices _let_1) (tptp.v5_lattices _let_1) (tptp.v6_lattices _let_1) (tptp.v7_lattices _let_1) (tptp.v8_lattices _let_1) (tptp.v9_lattices _let_1) (tptp.v10_lattices _let_1) (tptp.v11_lattices _let_1) (tptp.v12_lattices _let_1) (tptp.v13_lattices _let_1) (tptp.v14_lattices _let_1) (tptp.v15_lattices _let_1) (tptp.v16_lattices _let_1) (tptp.v17_lattices _let_1)))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k3_lattice3 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v1_orders_2 _let_1) (tptp.v2_orders_2 _let_1) (tptp.v3_orders_2 _let_1) (tptp.v4_orders_2 _let_1))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k7_lattice3 A))) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.l1_orders_2 A)) (and (tptp.v1_orders_2 _let_1) (tptp.v2_orders_2 _let_1) (tptp.v3_orders_2 _let_1) (tptp.v4_orders_2 _let_1))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k7_lattice3 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v1_orders_2 _let_1))))) (forall ((A $$unsorted)) (=> (tptp.l1_orders_2 A) (=> (tptp.v1_lattice3 A) (not (tptp.v3_struct_0 A))))) (forall ((A $$unsorted)) (=> (tptp.l1_orders_2 A) (=> (tptp.v2_lattice3 A) (not (tptp.v3_struct_0 A))))) (exists ((A $$unsorted)) (and (tptp.l1_orders_2 A) (not (tptp.v3_struct_0 A)) (tptp.v1_orders_2 A) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v3_lattice3 A))) (exists ((A $$unsorted)) (and (tptp.l1_orders_2 A) (not (tptp.v3_struct_0 A)) (tptp.v1_orders_2 A) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_lattice3 A))) (exists ((A $$unsorted)) (and (tptp.l3_lattices A) (not (tptp.v3_struct_0 A)) (tptp.v3_lattices A) (tptp.v4_lattices A) (tptp.v5_lattices A) (tptp.v6_lattices A) (tptp.v7_lattices A) (tptp.v8_lattices A) (tptp.v9_lattices A) (tptp.v10_lattices A) (tptp.v4_lattice3 A) (tptp.v5_lattice3 A) (tptp.v6_lattice3 A))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k14_lattice3 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v3_lattice3 A) (tptp.l1_orders_2 A)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v3_lattices _let_1) (tptp.v4_lattices _let_1) (tptp.v5_lattices _let_1) (tptp.v6_lattices _let_1) (tptp.v7_lattices _let_1) (tptp.v8_lattices _let_1) (tptp.v9_lattices _let_1) (tptp.v10_lattices _let_1) (tptp.v4_lattice3 _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v3_lattices B) (tptp.l3_lattices B)) (= (= B (tptp.k1_lattice3 A)) (and (= (tptp.u1_struct_0 B) (tptp.k1_zfmisc_1 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 A)) (and (= (tptp.k1_binop_1 (tptp.u2_lattices B) C D) (tptp.k4_subset_1 A C D)) (= (tptp.k1_binop_1 (tptp.u1_lattices B) C D) (tptp.k5_subset_1 A C D))))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 (tptp.k1_lattice3 A))) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k1_lattice3 A))) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 _let_1)) (and (= (tptp.k1_lattices _let_1 B C) (tptp.k2_xboole_0 B C)) (= (tptp.k2_lattices _let_1 B C) (tptp.k3_xboole_0 B C)))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 (tptp.k1_lattice3 A))) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k1_lattice3 A))) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 _let_1)) (= (tptp.r1_lattices _let_1 B C) (tptp.r1_tarski B C))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k1_lattice3 A))) (and (tptp.v13_lattices _let_1) (= (tptp.k5_lattices _let_1) tptp.k1_xboole_0)))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k1_lattice3 A))) (and (tptp.v14_lattices _let_1) (= (tptp.k6_lattices _let_1) A)))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k1_lattice3 A))) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 _let_1)) (= (tptp.k7_lattices _let_1 B) (tptp.k4_xboole_0 A B))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (= (tptp.k3_lattice3 A) (tptp.g1_orders_2 (tptp.u1_struct_0 A) (tptp.k2_lattice3 A))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v10_lattices B) (tptp.l3_lattices B)) (=> (= (tptp.k3_lattice3 A) (tptp.k3_lattice3 B)) (= (tptp.g3_lattices (tptp.u1_struct_0 A) (tptp.u2_lattices A) (tptp.u1_lattices A)) (tptp.g3_lattices (tptp.u1_struct_0 B) (tptp.u2_lattices B) (tptp.u1_lattices B)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (= (tptp.k4_lattice3 A B) B))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 (tptp.k3_lattice3 A))) (= (tptp.k5_lattice3 A B) B))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (tptp.r3_lattices A B C) (tptp.r3_orders_2 (tptp.k3_lattice3 A) (tptp.k4_lattice3 A B) (tptp.k4_lattice3 A C))))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.l1_orders_2 A) (= (tptp.k7_lattice3 A) (tptp.g1_orders_2 _let_1 (tptp.k6_relset_1 _let_1 _let_1 (tptp.u1_orders_2 A))))))) (forall ((A $$unsorted)) (=> (tptp.l1_orders_2 A) (= (tptp.k7_lattice3 (tptp.k7_lattice3 A)) (tptp.g1_orders_2 (tptp.u1_struct_0 A) (tptp.u1_orders_2 A))))) (forall ((A $$unsorted)) (=> (tptp.l1_orders_2 A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (= (tptp.k8_lattice3 A B) B))))) (forall ((A $$unsorted)) (=> (tptp.l1_orders_2 A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 (tptp.k7_lattice3 A))) (= (tptp.k9_lattice3 A B) B))))) (forall ((A $$unsorted)) (=> (tptp.l1_orders_2 A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (tptp.r1_orders_2 A B C) (tptp.r1_orders_2 (tptp.k7_lattice3 A) (tptp.k8_lattice3 A C) (tptp.k8_lattice3 A B))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_orders_2 A) (forall ((B $$unsorted) (C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (tptp.r1_lattice3 A B C) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (=> (tptp.r2_hidden D B) (tptp.r1_orders_2 A C D))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_orders_2 A) (forall ((B $$unsorted) (C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (tptp.r2_lattice3 A B C) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (=> (tptp.r2_hidden D B) (tptp.r1_orders_2 A D C))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_orders_2 A) (= (tptp.v1_lattice3 A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (exists ((D $$unsorted)) (and (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (tptp.r1_orders_2 A B D) (tptp.r1_orders_2 A C D) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.u1_struct_0 A)) (=> (and (tptp.r1_orders_2 A B E) (tptp.r1_orders_2 A C E)) (tptp.r1_orders_2 A D E))))))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_orders_2 A) (= (tptp.v2_lattice3 A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (exists ((D $$unsorted)) (and (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (tptp.r1_orders_2 A D B) (tptp.r1_orders_2 A D C) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.u1_struct_0 A)) (=> (and (tptp.r1_orders_2 A E B) (tptp.r1_orders_2 A E C)) (tptp.r1_orders_2 A E D))))))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_orders_2 A) (= (tptp.v1_lattice3 A) (tptp.v2_lattice3 (tptp.k7_lattice3 A))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k3_lattice3 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (and (tptp.v1_lattice3 _let_1) (tptp.v2_lattice3 _let_1))))) (forall ((A $$unsorted)) (=> (tptp.l1_orders_2 A) (= (tptp.v3_lattice3 A) (forall ((B $$unsorted)) (exists ((C $$unsorted)) (and (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (tptp.r2_lattice3 A B C) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (=> (tptp.r2_lattice3 A B D) (tptp.r1_orders_2 A C D)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (=> (tptp.v3_lattice3 A) (and (tptp.v1_lattice3 A) (tptp.v2_lattice3 A))))) (forall ((A $$unsorted)) (=> (tptp.l1_orders_2 A) (=> (tptp.v4_orders_2 A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (=> (exists ((D $$unsorted)) (and (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (tptp.r1_orders_2 A B D) (tptp.r1_orders_2 A C D) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.u1_struct_0 A)) (=> (and (tptp.r1_orders_2 A B E) (tptp.r1_orders_2 A C E)) (tptp.r1_orders_2 A D E)))))) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (= (= D (tptp.k10_lattice3 A B C)) (and (tptp.r1_orders_2 A B D) (tptp.r1_orders_2 A C D) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.u1_struct_0 A)) (=> (and (tptp.r1_orders_2 A B E) (tptp.r1_orders_2 A C E)) (tptp.r1_orders_2 A D E)))))))))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_orders_2 A) (=> (tptp.v4_orders_2 A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (=> (exists ((D $$unsorted)) (and (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (tptp.r1_orders_2 A D B) (tptp.r1_orders_2 A D C) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.u1_struct_0 A)) (=> (and (tptp.r1_orders_2 A E B) (tptp.r1_orders_2 A E C)) (tptp.r1_orders_2 A E D)))))) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (= (= D (tptp.k11_lattice3 A B C)) (and (tptp.r1_orders_2 A D B) (tptp.r1_orders_2 A D C) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.u1_struct_0 A)) (=> (and (tptp.r1_orders_2 A E B) (tptp.r1_orders_2 A E C)) (tptp.r1_orders_2 A E D)))))))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (tptp.k10_lattice3 A B C) (tptp.k10_lattice3 A C B)))))))) (forall ((A $$unsorted)) (=> (and (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (=> (tptp.v3_orders_2 A) (= (tptp.k10_lattice3 A (tptp.k10_lattice3 A B C) D) (tptp.k10_lattice3 A B (tptp.k10_lattice3 A C D)))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v4_orders_2 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (tptp.k11_lattice3 A B C) (tptp.k11_lattice3 A C B)))))))) (forall ((A $$unsorted)) (=> (and (tptp.v4_orders_2 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (=> (tptp.v3_orders_2 A) (= (tptp.k11_lattice3 A (tptp.k11_lattice3 A B C) D) (tptp.k11_lattice3 A B (tptp.k11_lattice3 A C D)))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (tptp.k13_lattice3 A (tptp.k12_lattice3 A B C) C) C))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (tptp.k12_lattice3 A B (tptp.k13_lattice3 A B C)) B))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 A)) (exists ((B $$unsorted)) (and (not (tptp.v3_struct_0 B)) (tptp.v3_lattices B) (tptp.v10_lattices B) (tptp.l3_lattices B) (= (tptp.g1_orders_2 (tptp.u1_struct_0 A) (tptp.u1_orders_2 A)) (tptp.k3_lattice3 B)))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.l1_orders_2 A))) (=> _let_1 (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) _let_1) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_lattices B) (tptp.v10_lattices B) (tptp.l3_lattices B)) (= (= B (tptp.k14_lattice3 A)) (= (tptp.g1_orders_2 (tptp.u1_struct_0 A) (tptp.u1_orders_2 A)) (tptp.k3_lattice3 B))))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k1_lattice2 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (and (= (tptp.k6_lattice3 (tptp.u1_struct_0 A) (tptp.k2_lattice3 A)) (tptp.k2_lattice3 _let_1)) (= (tptp.k7_lattice3 (tptp.k3_lattice3 A)) (tptp.k3_lattice3 _let_1)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (= (tptp.r3_lattice3 A B C) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (=> (tptp.r2_hidden D C) (tptp.r1_lattices A B D)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (= (tptp.r4_lattice3 A B C) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (=> (tptp.r2_hidden D C) (tptp.r1_lattices A D B)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (= (tptp.r3_lattice3 A B (tptp.k2_struct_0 A C D)) (tptp.r3_lattices A B (tptp.k4_lattices A C D))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (= (tptp.r4_lattice3 A B (tptp.k2_struct_0 A C D)) (tptp.r3_lattices A (tptp.k3_lattices A C D) B)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l3_lattices A)) (= (tptp.v4_lattice3 A) (forall ((B $$unsorted)) (exists ((C $$unsorted)) (and (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (tptp.r4_lattice3 A C B) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (=> (tptp.r4_lattice3 A D B) (tptp.r1_lattices A C D)))))))))) (forall ((A $$unsorted)) (tptp.v4_lattice3 (tptp.k1_lattice3 A))) (forall ((A $$unsorted)) (tptp.v5_lattice3 (tptp.k1_lattice3 A))) (forall ((A $$unsorted)) (tptp.v6_lattice3 (tptp.k1_lattice3 A))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v10_lattices B) (tptp.l3_lattices B)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 B)) (= (tptp.r3_lattice3 B C A) (tptp.r1_lattice3 (tptp.k3_lattice3 B) A (tptp.k4_lattice3 B C))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v10_lattices B) (tptp.l3_lattices B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k3_lattice3 B))) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 _let_1)) (= (tptp.r1_lattice3 _let_1 A C) (tptp.r3_lattice3 B (tptp.k5_lattice3 B C) A))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v10_lattices B) (tptp.l3_lattices B)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 B)) (= (tptp.r4_lattice3 B C A) (tptp.r2_lattice3 (tptp.k3_lattice3 B) A (tptp.k4_lattice3 B C))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v10_lattices B) (tptp.l3_lattices B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k3_lattice3 B))) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 _let_1)) (= (tptp.r2_lattice3 _let_1 A C) (tptp.r4_lattice3 B (tptp.k5_lattice3 B C) A))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.l3_lattices A))) (let ((_let_2 (not (tptp.v3_struct_0 A)))) (=> (and _let_2 _let_1) (=> (and _let_2 (tptp.v10_lattices A) (tptp.v4_lattice3 A) _let_1) (forall ((B $$unsorted) (C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (= C (tptp.k15_lattice3 A B)) (and (tptp.r4_lattice3 A C B) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (=> (tptp.r4_lattice3 A D B) (tptp.r1_lattices A C D))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v4_lattice3 A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (= (= B (tptp.k16_lattice3 A C)) (and (tptp.r3_lattice3 A B C) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (=> (tptp.r3_lattice3 A D C) (tptp.r3_lattices A D B))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v4_lattice3 A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.r2_hidden B C) (and (tptp.r3_lattices A B (tptp.k15_lattice3 A C)) (tptp.r3_lattices A (tptp.k16_lattice3 A C) B)))))))) true (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v4_lattice3 A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.r3_lattice3 A B C) (tptp.r3_lattices A B (tptp.k16_lattice3 A C)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v4_lattice3 A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (and (tptp.r2_hidden B C) (tptp.r4_lattice3 A B C)) (= (tptp.k15_lattice3 A C) B))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v4_lattice3 A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (and (tptp.r2_hidden B C) (tptp.r3_lattice3 A B C)) (= (tptp.k16_lattice3 A C) B))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v4_lattice3 A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k1_struct_0 A B))) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (and (= (tptp.k15_lattice3 A _let_1) B) (= (tptp.k16_lattice3 A _let_1) B))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v4_lattice3 A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k2_struct_0 A B C))) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (and (= (tptp.k3_lattices A B C) (tptp.k15_lattice3 A _let_1)) (= (tptp.k4_lattices A B C) (tptp.k16_lattice3 A _let_1)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v4_lattice3 A) (tptp.l3_lattices A)) (forall ((B $$unsorted) (C $$unsorted)) (=> (tptp.r1_tarski B C) (and (tptp.r3_lattices A (tptp.k15_lattice3 A B) (tptp.k15_lattice3 A C)) (tptp.r3_lattices A (tptp.k16_lattice3 A C) (tptp.k16_lattice3 A B))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v4_lattice3 A) (tptp.l3_lattices A)) (forall ((B $$unsorted) (C $$unsorted)) (=> (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (not (and (tptp.r2_hidden D B) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.u1_struct_0 A)) (not (and (tptp.r3_lattices A D E) (tptp.r2_hidden E C))))))))) (tptp.r3_lattices A (tptp.k15_lattice3 A B) (tptp.k15_lattice3 A C)))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.l3_lattices A))) (let ((_let_2 (tptp.v10_lattices A))) (let ((_let_3 (not (tptp.v3_struct_0 A)))) (=> (and _let_3 _let_2 (tptp.v4_lattice3 A) _let_1) (and _let_3 _let_2 (tptp.v13_lattices A) _let_1 (= (tptp.k5_lattices A) (tptp.k15_lattice3 A tptp.k1_xboole_0)))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.l3_lattices A))) (let ((_let_2 (tptp.v10_lattices A))) (let ((_let_3 (not (tptp.v3_struct_0 A)))) (=> (and _let_3 _let_2 (tptp.v4_lattice3 A) _let_1) (and _let_3 _let_2 (tptp.v14_lattices A) _let_1 (= (tptp.k6_lattices A) (tptp.k15_lattice3 A (tptp.u1_struct_0 A))))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.l3_lattices A))) (let ((_let_2 (tptp.v10_lattices A))) (let ((_let_3 (not (tptp.v3_struct_0 A)))) (=> (and _let_3 _let_2 (tptp.v4_lattice3 A) _let_1) (=> (and _let_3 _let_2 (tptp.v3_filter_0 A) _let_1) (tptp.v5_lattice3 A))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 A))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_1 A) (tptp.m2_relset_1 B _let_1 A)) (not (and (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C A) (= (tptp.k8_funct_2 (tptp.k1_zfmisc_1 A) A B (tptp.k6_domain_1 A C)) C))) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 A))) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 _let_1)) (= (tptp.k8_funct_2 _let_1 A B (tptp.k10_relset_1 _let_1 A B C)) (tptp.k1_funct_1 B (tptp.k3_tarski C)))))) (forall ((C $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.v3_lattices C) (tptp.v10_lattices C) (tptp.v4_lattice3 C) (tptp.l3_lattices C)) (not (and (= (tptp.u1_struct_0 C) A) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 C))) (= (tptp.k15_lattice3 C D) (tptp.k1_funct_1 B D))))))))))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k1_lattice3 A))) (and (tptp.v3_lattices _let_1) (tptp.l3_lattices _let_1)))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.k2_lattice3 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (and (tptp.v1_relat_2 _let_2) (tptp.v4_relat_2 _let_2) (tptp.v8_relat_2 _let_2) (tptp.v1_partfun1 _let_2 _let_1 _let_1) (tptp.m2_relset_1 _let_2 _let_1 _let_1)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (= (tptp.k2_lattice3 A) (tptp.k9_filter_1 A)))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k3_lattice3 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (and (tptp.v1_orders_2 _let_1) (tptp.v2_orders_2 _let_1) (tptp.v3_orders_2 _let_1) (tptp.v4_orders_2 _let_1) (tptp.l1_orders_2 _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A) (tptp.m1_subset_1 B (tptp.u1_struct_0 A))) (tptp.m1_subset_1 (tptp.k4_lattice3 A B) (tptp.u1_struct_0 (tptp.k3_lattice3 A))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A) (tptp.m1_subset_1 B (tptp.u1_struct_0 (tptp.k3_lattice3 A)))) (tptp.m1_subset_1 (tptp.k5_lattice3 A B) (tptp.u1_struct_0 A)))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k6_lattice3 A B))) (=> (and (tptp.v1_relat_2 B) (tptp.v4_relat_2 B) (tptp.v8_relat_2 B) (tptp.v1_partfun1 B A A) (tptp.m1_relset_1 B A A)) (and (tptp.v1_relat_2 _let_1) (tptp.v4_relat_2 _let_1) (tptp.v8_relat_2 _let_1) (tptp.v1_partfun1 _let_1 A A) (tptp.m2_relset_1 _let_1 A A))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_relat_2 B) (tptp.v4_relat_2 B) (tptp.v8_relat_2 B) (tptp.v1_partfun1 B A A) (tptp.m1_relset_1 B A A)) (= (tptp.k6_lattice3 A (tptp.k6_lattice3 A B)) B))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_relat_2 B) (tptp.v4_relat_2 B) (tptp.v8_relat_2 B) (tptp.v1_partfun1 B A A) (tptp.m1_relset_1 B A A)) (= (tptp.k6_lattice3 A B) (tptp.k4_relat_1 B)))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k7_lattice3 A))) (=> (tptp.l1_orders_2 A) (and (tptp.v1_orders_2 _let_1) (tptp.l1_orders_2 _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.l1_orders_2 A) (tptp.m1_subset_1 B (tptp.u1_struct_0 A))) (tptp.m1_subset_1 (tptp.k8_lattice3 A B) (tptp.u1_struct_0 (tptp.k7_lattice3 A))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.l1_orders_2 A) (tptp.m1_subset_1 B (tptp.u1_struct_0 (tptp.k7_lattice3 A)))) (tptp.m1_subset_1 (tptp.k9_lattice3 A B) (tptp.u1_struct_0 A)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (tptp.l1_orders_2 A) (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (tptp.m1_subset_1 (tptp.k10_lattice3 A B C) _let_1)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (tptp.l1_orders_2 A) (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (tptp.m1_subset_1 (tptp.k11_lattice3 A B C) _let_1)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (tptp.v4_orders_2 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 A) (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (tptp.m1_subset_1 (tptp.k12_lattice3 A B C) _let_1)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (tptp.v4_orders_2 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 A) (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (= (tptp.k12_lattice3 A B C) (tptp.k12_lattice3 A C B))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (tptp.v4_orders_2 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 A) (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (= (tptp.k12_lattice3 A B C) (tptp.k11_lattice3 A B C))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.l1_orders_2 A) (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (tptp.m1_subset_1 (tptp.k13_lattice3 A B C) _let_1)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.l1_orders_2 A) (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (= (tptp.k13_lattice3 A B C) (tptp.k13_lattice3 A C B))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.l1_orders_2 A) (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (= (tptp.k13_lattice3 A B C) (tptp.k10_lattice3 A B C))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k14_lattice3 A))) (=> (tptp.l1_orders_2 A) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v3_lattices _let_1) (tptp.v10_lattices _let_1) (tptp.l3_lattices _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l3_lattices A)) (tptp.m1_subset_1 (tptp.k15_lattice3 A B) (tptp.u1_struct_0 A)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l3_lattices A)) (tptp.m1_subset_1 (tptp.k16_lattice3 A B) (tptp.u1_struct_0 A)))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l3_lattices A)) (= (tptp.v5_lattice3 A) (forall ((B $$unsorted) (C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.u1_struct_0 A)) (=> (and (tptp.r4_lattice3 A C B) (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F (tptp.u1_struct_0 A)) (=> (tptp.r4_lattice3 A F B) (tptp.r1_lattices A C F)))) (tptp.r4_lattice3 A E (tptp.a_3_0_lattice3 A B D)) (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F (tptp.u1_struct_0 A)) (=> (tptp.r4_lattice3 A F (tptp.a_3_0_lattice3 A B D)) (tptp.r1_lattices A E F))))) (tptp.r1_lattices A (tptp.k2_lattices A D C) E))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l3_lattices A)) (= (tptp.v6_lattice3 A) (forall ((B $$unsorted) (C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.u1_struct_0 A)) (=> (and (tptp.r3_lattice3 A C B) (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F (tptp.u1_struct_0 A)) (=> (tptp.r3_lattice3 A F B) (tptp.r1_lattices A F C)))) (tptp.r3_lattice3 A E (tptp.a_3_1_lattice3 A B D)) (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F (tptp.u1_struct_0 A)) (=> (tptp.r3_lattice3 A F (tptp.a_3_1_lattice3 A B D)) (tptp.r1_lattices A F E))))) (tptp.r1_lattices A E (tptp.k1_lattices A D C)))))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v10_lattices B) (tptp.v17_lattices B) (tptp.l3_lattices B)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 B)) (= (tptp.r4_lattice3 B C A) (tptp.r3_lattice3 B (tptp.k7_lattices B C) (tptp.a_2_0_lattice3 A B))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v10_lattices B) (tptp.v17_lattices B) (tptp.l3_lattices B)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 B)) (= (tptp.r3_lattice3 B C A) (tptp.r4_lattice3 B (tptp.k7_lattices B C) (tptp.a_2_0_lattice3 A B))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (= (tptp.k16_lattice3 A B) (tptp.k15_lattice3 A (tptp.a_2_1_lattice3 A B)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v4_lattice3 A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (tptp.r3_lattices A (tptp.k15_lattice3 A (tptp.a_3_2_lattice3 A B C)) (tptp.k4_lattices A B (tptp.k15_lattice3 A C)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v4_lattice3 A) (tptp.l3_lattices A)) (= (tptp.v5_lattice3 A) (forall ((B $$unsorted) (C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (tptp.r3_lattices A (tptp.k4_lattices A C (tptp.k15_lattice3 A B)) (tptp.k15_lattice3 A (tptp.a_3_3_lattice3 A B C)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v4_lattice3 A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (tptp.r3_lattices A (tptp.k3_lattices A B (tptp.k16_lattice3 A C)) (tptp.k16_lattice3 A (tptp.a_3_4_lattice3 A B C)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v4_lattice3 A) (tptp.l3_lattices A)) (= (tptp.v6_lattice3 A) (forall ((B $$unsorted) (C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (tptp.r3_lattices A (tptp.k16_lattice3 A (tptp.a_3_5_lattice3 A B C)) (tptp.k3_lattices A C (tptp.k16_lattice3 A B)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v4_lattice3 A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (= (tptp.k15_lattice3 A B) (tptp.k16_lattice3 A (tptp.a_2_2_lattice3 A B)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v4_lattice3 A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (and (= B (tptp.k15_lattice3 A (tptp.a_2_3_lattice3 A B))) (= B (tptp.k16_lattice3 A (tptp.a_2_4_lattice3 A B)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v4_lattice3 A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (and (= (tptp.k15_lattice3 A B) (tptp.k15_lattice3 A (tptp.a_2_5_lattice3 A B))) (= (tptp.k16_lattice3 A B) (tptp.k16_lattice3 A (tptp.a_2_6_lattice3 A B))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v4_lattice3 A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.r1_tarski B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (tptp.k15_lattice3 A (tptp.k3_tarski B)) (tptp.k15_lattice3 A (tptp.a_2_7_lattice3 A B))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v4_lattice3 A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v3_filter_0 A) (tptp.l3_lattices A)) (= (tptp.k4_filter_0 A B C) (tptp.k15_lattice3 A (tptp.a_3_6_lattice3 A B C)))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v10_lattices B) (tptp.v4_lattice3 B) (tptp.v5_lattice3 B) (tptp.l3_lattices B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k15_lattice3 B A))) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 B)) (and (= (tptp.k4_lattices B C _let_1) (tptp.k15_lattice3 B (tptp.a_3_7_lattice3 A B C))) (= (tptp.k4_lattices B _let_1 C) (tptp.k15_lattice3 B (tptp.a_3_8_lattice3 A B C))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v10_lattices B) (tptp.v4_lattice3 B) (tptp.v6_lattice3 B) (tptp.l3_lattices B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k16_lattice3 B A))) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 B)) (and (= (tptp.k3_lattices B C _let_1) (tptp.k16_lattice3 B (tptp.a_3_9_lattice3 A B C))) (= (tptp.k3_lattices B _let_1 C) (tptp.k16_lattice3 B (tptp.a_3_10_lattice3 A B C))))))))) (=> (exists ((A $$unsorted)) (and (tptp.m1_subset_1 A tptp.f2_s1_lattice3) (tptp.p1_s1_lattice3 A))) (= tptp.a_0_0_lattice3 (tptp.k1_tarski tptp.f1_s1_lattice3))) (=> (tptp.r1_tarski tptp.f2_s2_lattice3 (tptp.k1_relat_1 tptp.f4_s2_lattice3)) (= (tptp.k9_relat_1 tptp.f4_s2_lattice3 tptp.a_0_1_lattice3) tptp.a_0_2_lattice3)) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.l3_lattices B) (tptp.m1_subset_1 D (tptp.u1_struct_0 B))) (= (tptp.r2_hidden A (tptp.a_3_0_lattice3 B C D)) (exists ((E $$unsorted)) (and (tptp.m1_subset_1 E (tptp.u1_struct_0 B)) (= A (tptp.k2_lattices B D E)) (tptp.r2_hidden E C)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.l3_lattices B) (tptp.m1_subset_1 D (tptp.u1_struct_0 B))) (= (tptp.r2_hidden A (tptp.a_3_1_lattice3 B C D)) (exists ((E $$unsorted)) (and (tptp.m1_subset_1 E (tptp.u1_struct_0 B)) (= A (tptp.k1_lattices B D E)) (tptp.r2_hidden E C)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.v10_lattices C) (tptp.v17_lattices C) (tptp.l3_lattices C)) (= (tptp.r2_hidden A (tptp.a_2_0_lattice3 B C)) (exists ((D $$unsorted)) (and (tptp.m1_subset_1 D (tptp.u1_struct_0 C)) (= A (tptp.k7_lattices C D)) (tptp.r2_hidden D B)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.l3_lattices B)) (= (tptp.r2_hidden A (tptp.a_2_1_lattice3 B C)) (exists ((D $$unsorted)) (and (tptp.m1_subset_1 D (tptp.u1_struct_0 B)) (= A D) (tptp.r3_lattice3 B D C)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v10_lattices B) (tptp.v4_lattice3 B) (tptp.l3_lattices B) (tptp.m1_subset_1 C (tptp.u1_struct_0 B))) (= (tptp.r2_hidden A (tptp.a_3_2_lattice3 B C D)) (exists ((E $$unsorted)) (and (tptp.m1_subset_1 E (tptp.u1_struct_0 B)) (= A (tptp.k4_lattices B C E)) (tptp.r2_hidden E D)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v10_lattices B) (tptp.v4_lattice3 B) (tptp.l3_lattices B) (tptp.m1_subset_1 D (tptp.u1_struct_0 B))) (= (tptp.r2_hidden A (tptp.a_3_3_lattice3 B C D)) (exists ((E $$unsorted)) (and (tptp.m1_subset_1 E (tptp.u1_struct_0 B)) (= A (tptp.k4_lattices B D E)) (tptp.r2_hidden E C)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v10_lattices B) (tptp.v4_lattice3 B) (tptp.l3_lattices B) (tptp.m1_subset_1 C (tptp.u1_struct_0 B))) (= (tptp.r2_hidden A (tptp.a_3_4_lattice3 B C D)) (exists ((E $$unsorted)) (and (tptp.m1_subset_1 E (tptp.u1_struct_0 B)) (= A (tptp.k3_lattices B C E)) (tptp.r2_hidden E D)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v10_lattices B) (tptp.v4_lattice3 B) (tptp.l3_lattices B) (tptp.m1_subset_1 D (tptp.u1_struct_0 B))) (= (tptp.r2_hidden A (tptp.a_3_5_lattice3 B C D)) (exists ((E $$unsorted)) (and (tptp.m1_subset_1 E (tptp.u1_struct_0 B)) (= A (tptp.k3_lattices B D E)) (tptp.r2_hidden E C)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v10_lattices B) (tptp.v4_lattice3 B) (tptp.l3_lattices B)) (= (tptp.r2_hidden A (tptp.a_2_2_lattice3 B C)) (exists ((D $$unsorted)) (and (tptp.m1_subset_1 D (tptp.u1_struct_0 B)) (= A D) (tptp.r4_lattice3 B D C)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v10_lattices B) (tptp.v4_lattice3 B) (tptp.l3_lattices B) (tptp.m1_subset_1 C (tptp.u1_struct_0 B))) (= (tptp.r2_hidden A (tptp.a_2_3_lattice3 B C)) (exists ((D $$unsorted)) (and (tptp.m1_subset_1 D (tptp.u1_struct_0 B)) (= A D) (tptp.r3_lattices B D C)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v10_lattices B) (tptp.v4_lattice3 B) (tptp.l3_lattices B) (tptp.m1_subset_1 C (tptp.u1_struct_0 B))) (= (tptp.r2_hidden A (tptp.a_2_4_lattice3 B C)) (exists ((D $$unsorted)) (and (tptp.m1_subset_1 D (tptp.u1_struct_0 B)) (= A D) (tptp.r3_lattices B C D)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v10_lattices B) (tptp.v4_lattice3 B) (tptp.l3_lattices B)) (= (tptp.r2_hidden A (tptp.a_2_5_lattice3 B C)) (exists ((D $$unsorted)) (and (tptp.m1_subset_1 D (tptp.u1_struct_0 B)) (= A D) (exists ((E $$unsorted)) (and (tptp.m1_subset_1 E (tptp.u1_struct_0 B)) (tptp.r3_lattices B D E) (tptp.r2_hidden E C)))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v10_lattices B) (tptp.v4_lattice3 B) (tptp.l3_lattices B)) (= (tptp.r2_hidden A (tptp.a_2_6_lattice3 B C)) (exists ((D $$unsorted)) (and (tptp.m1_subset_1 D (tptp.u1_struct_0 B)) (= A D) (exists ((E $$unsorted)) (and (tptp.m1_subset_1 E (tptp.u1_struct_0 B)) (tptp.r3_lattices B E D) (tptp.r2_hidden E C)))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v10_lattices B) (tptp.v4_lattice3 B) (tptp.l3_lattices B)) (= (tptp.r2_hidden A (tptp.a_2_7_lattice3 B C)) (exists ((D $$unsorted)) (and (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B))) (= A (tptp.k15_lattice3 B D)) (tptp.r2_hidden D C)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v10_lattices B) (tptp.v4_lattice3 B) (tptp.l3_lattices B) (tptp.m1_subset_1 C _let_1) (tptp.m1_subset_1 D _let_1)) (= (tptp.r2_hidden A (tptp.a_3_6_lattice3 B C D)) (exists ((E $$unsorted)) (and (tptp.m1_subset_1 E (tptp.u1_struct_0 B)) (= A E) (tptp.r3_lattices B (tptp.k4_lattices B C E) D))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.v10_lattices C) (tptp.v4_lattice3 C) (tptp.v5_lattice3 C) (tptp.l3_lattices C) (tptp.m1_subset_1 D (tptp.u1_struct_0 C))) (= (tptp.r2_hidden A (tptp.a_3_7_lattice3 B C D)) (exists ((E $$unsorted)) (and (tptp.m1_subset_1 E (tptp.u1_struct_0 C)) (= A (tptp.k4_lattices C D E)) (tptp.r2_hidden E B)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.v10_lattices C) (tptp.v4_lattice3 C) (tptp.v5_lattice3 C) (tptp.l3_lattices C) (tptp.m1_subset_1 D (tptp.u1_struct_0 C))) (= (tptp.r2_hidden A (tptp.a_3_8_lattice3 B C D)) (exists ((E $$unsorted)) (and (tptp.m1_subset_1 E (tptp.u1_struct_0 C)) (= A (tptp.k4_lattices C E D)) (tptp.r2_hidden E B)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.v10_lattices C) (tptp.v4_lattice3 C) (tptp.v6_lattice3 C) (tptp.l3_lattices C) (tptp.m1_subset_1 D (tptp.u1_struct_0 C))) (= (tptp.r2_hidden A (tptp.a_3_9_lattice3 B C D)) (exists ((E $$unsorted)) (and (tptp.m1_subset_1 E (tptp.u1_struct_0 C)) (= A (tptp.k3_lattices C D E)) (tptp.r2_hidden E B)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.v10_lattices C) (tptp.v4_lattice3 C) (tptp.v6_lattice3 C) (tptp.l3_lattices C) (tptp.m1_subset_1 D (tptp.u1_struct_0 C))) (= (tptp.r2_hidden A (tptp.a_3_10_lattice3 B C D)) (exists ((E $$unsorted)) (and (tptp.m1_subset_1 E (tptp.u1_struct_0 C)) (= A (tptp.k3_lattices C E D)) (tptp.r2_hidden E B)))))) (forall ((A $$unsorted)) (= (tptp.r2_hidden A tptp.a_0_0_lattice3) (exists ((B $$unsorted)) (and (tptp.m1_subset_1 B tptp.f2_s1_lattice3) (= A tptp.f1_s1_lattice3) (tptp.p1_s1_lattice3 B))))) (forall ((A $$unsorted)) (= (tptp.r2_hidden A tptp.a_0_1_lattice3) (exists ((B $$unsorted)) (and (tptp.m1_subset_1 B tptp.f1_s2_lattice3) (= A (tptp.f3_s2_lattice3 B)) (tptp.p1_s2_lattice3 B))))) (forall ((A $$unsorted)) (= (tptp.r2_hidden A tptp.a_0_2_lattice3) (exists ((B $$unsorted)) (and (tptp.m1_subset_1 B tptp.f1_s2_lattice3) (= A (tptp.k1_funct_1 tptp.f4_s2_lattice3 (tptp.f3_s2_lattice3 B))) (tptp.p1_s2_lattice3 B))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (exists ((B $$unsorted)) (and (tptp.m2_lattice4 B A) (not (tptp.v1_xboole_0 B)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v17_lattices A) (tptp.l3_lattices A) (not (tptp.v1_xboole_0 B)) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (not (tptp.v1_xboole_0 (tptp.k4_lattice4 A B))))) true true (forall ((A $$unsorted)) (not (and (not (= A tptp.k1_xboole_0)) (forall ((B $$unsorted)) (not (and (not (= B tptp.k1_xboole_0)) (tptp.r1_tarski B A) (tptp.v6_ordinal1 B) (forall ((C $$unsorted)) (not (and (tptp.r2_hidden C A) (forall ((D $$unsorted)) (=> (tptp.r2_hidden D B) (tptp.r1_tarski D C))))))))) (forall ((B $$unsorted)) (not (and (tptp.r2_hidden B A) (forall ((C $$unsorted)) (not (and (tptp.r2_hidden C A) (not (= C B)) (tptp.r1_tarski B C)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (tptp.v2_filter_0 (tptp.k1_filter_0 A) A))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_filter_0 B A) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k3_filter_0 A (tptp.k1_finsub_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)) B C)))) (=> (tptp.m1_filter_0 C A) (and (tptp.r1_tarski B _let_1) (tptp.r1_tarski C _let_1))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_filter_0 B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 D _let_1) (not (and (tptp.r2_hidden C (tptp.k3_filter_0 A (tptp.k1_finsub_1 (tptp.k1_zfmisc_1 _let_1) (tptp.k2_filter_0 A D) B))) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.u1_struct_0 A)) (not (and (tptp.r2_hidden E B) (tptp.r3_lattices A (tptp.k4_lattices A D E) C)))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v10_lattices B) (tptp.l3_lattices B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.m2_relset_1 C _let_2 _let_1)) (= (tptp.m1_lattice4 C A B) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (forall ((E $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (let ((_let_3 (tptp.k8_funct_2 _let_2 _let_1 C E))) (let ((_let_4 (tptp.k8_funct_2 _let_2 _let_1 C D))) (=> (tptp.m1_subset_1 E _let_2) (and (= (tptp.k8_funct_2 _let_2 _let_1 C (tptp.k3_lattices A D E)) (tptp.k3_lattices B _let_4 _let_3)) (= (tptp.k8_funct_2 _let_2 _let_1 C (tptp.k4_lattices A D E)) (tptp.k4_lattices B _let_4 _let_3)))))))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v10_lattices B) (tptp.l3_lattices B)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (forall ((E $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (tptp.m1_lattice4 E A B) (=> (tptp.r3_lattices A C D) (tptp.r3_lattices B (tptp.k8_funct_2 _let_2 _let_1 E C) (tptp.k8_funct_2 _let_2 _let_1 E D))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v10_lattices B) (tptp.l3_lattices B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.m2_relset_1 C _let_2 _let_1)) (= (tptp.v1_lattice4 C A B) (tptp.v2_funct_1 C)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v10_lattices B) (tptp.l3_lattices B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.m2_relset_1 C _let_2 _let_1)) (= (tptp.v2_lattice4 C A B) (= (tptp.k2_relat_1 C) _let_1)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v10_lattices B) (tptp.l3_lattices B)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (forall ((E $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (tptp.m1_lattice4 E A B) (=> (tptp.v1_lattice4 E A B) (= (tptp.r3_lattices A C D) (tptp.r3_lattices B (tptp.k8_funct_2 _let_2 _let_1 E C) (tptp.k8_funct_2 _let_2 _let_1 E D)))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v10_lattices B) (tptp.l3_lattices B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.m2_relset_1 C _let_2 _let_1)) (=> (tptp.v2_lattice4 C A B) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 B)) (exists ((E $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (and (tptp.m1_subset_1 E _let_1) (= D (tptp.k8_funct_2 _let_1 (tptp.u1_struct_0 B) C E)))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v10_lattices B) (tptp.l3_lattices B)) (forall ((C $$unsorted)) (=> (tptp.m1_lattice4 C A B) (= (tptp.v3_lattice4 C A B) (and (tptp.v1_lattice4 C A B) (tptp.v2_lattice4 C A B))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v10_lattices B) (tptp.l3_lattices B)) (= (tptp.r1_filter_1 A B) (exists ((C $$unsorted)) (and (tptp.m1_lattice4 C A B) (tptp.v3_lattice4 C A B)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v10_lattices B) (tptp.l3_lattices B)) (forall ((C $$unsorted)) (=> (tptp.m1_lattice4 C A B) (= (tptp.r1_lattice4 A B C) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (forall ((E $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 E _let_2) (= (tptp.k8_funct_2 _let_2 _let_1 C (tptp.k4_filter_0 A D E)) (tptp.k4_filter_0 B (tptp.k8_funct_2 _let_2 _let_1 C D) (tptp.k8_funct_2 _let_2 _let_1 C E)))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v10_lattices B) (tptp.l3_lattices B)) (forall ((C $$unsorted)) (=> (tptp.m1_lattice4 C A B) (= (tptp.r2_lattice4 A B C) (= (tptp.k8_funct_2 (tptp.u1_struct_0 A) (tptp.u1_struct_0 B) C (tptp.k6_lattices A)) (tptp.k6_lattices B))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v10_lattices B) (tptp.l3_lattices B)) (forall ((C $$unsorted)) (=> (tptp.m1_lattice4 C A B) (= (tptp.r3_lattice4 A B C) (= (tptp.k8_funct_2 (tptp.u1_struct_0 A) (tptp.u1_struct_0 B) C (tptp.k5_lattices A)) (tptp.k5_lattices B))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v10_lattices B) (tptp.l3_lattices B)) (forall ((C $$unsorted)) (=> (tptp.m1_lattice4 C A B) (= (tptp.r4_lattice4 A B C) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 D _let_2) (= (tptp.k8_funct_2 _let_2 _let_1 C (tptp.k7_lattices A D)) (tptp.k7_lattices B (tptp.k8_funct_2 _let_2 _let_1 C D)))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (tptp.m2_lattice4 B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (=> (and (tptp.r2_hidden C B) (tptp.r2_hidden D B)) (and (tptp.r2_hidden (tptp.k4_lattices A C D) B) (tptp.r2_hidden (tptp.k3_lattices A C D) B)))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (tptp.m2_lattice4 (tptp.u1_struct_0 A) A))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_filter_0 B A) (tptp.m2_lattice4 B A))))) true (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 B (tptp.k5_finsub_1 _let_1)) (= (tptp.k1_lattice4 A B) (tptp.k2_lattice2 _let_1 A B (tptp.k7_grcat_1 A)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 B (tptp.k5_finsub_1 _let_1)) (= (tptp.k2_lattice4 A B) (tptp.k3_lattice2 _let_1 A B (tptp.k7_grcat_1 A)))))))) true true (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 B (tptp.k5_finsub_1 _let_1)) (= (tptp.k2_lattice4 A B) (tptp.k7_setwiseo _let_1 _let_1 (tptp.u1_lattices A) B (tptp.k7_grcat_1 A)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 B (tptp.k5_finsub_1 _let_1)) (= (tptp.k1_lattice4 A B) (tptp.k7_setwiseo _let_1 _let_1 (tptp.u2_lattices A) B (tptp.k7_grcat_1 A)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 B _let_1) (= (tptp.k1_lattice4 A (tptp.k2_setwiseo _let_1 B)) B)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 B _let_1) (= (tptp.k2_lattice4 A (tptp.k2_setwiseo _let_1 B)) B)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v10_lattices B) (tptp.v11_lattices B) (tptp.l3_lattices B)) (forall ((C $$unsorted)) (=> (tptp.m1_lattice4 C B A) (=> (tptp.v2_lattice4 C B A) (tptp.v11_lattices A)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v10_lattices B) (tptp.v13_lattices B) (tptp.l3_lattices B)) (forall ((C $$unsorted)) (=> (tptp.m1_lattice4 C B A) (=> (tptp.v2_lattice4 C B A) (and (tptp.v13_lattices A) (tptp.r3_lattice4 B A C))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v13_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k5_finsub_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D _let_1 _let_1) (tptp.m2_relset_1 D _let_1 _let_1)) (= (tptp.k2_lattice2 _let_1 A (tptp.k5_setwiseo _let_1 B (tptp.k2_setwiseo _let_1 C)) D) (tptp.k3_lattices A (tptp.k2_lattice2 _let_1 A B D) (tptp.k8_funct_2 _let_1 _let_1 D C)))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v13_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k5_finsub_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 C _let_1) (= (tptp.k1_lattice4 A (tptp.k5_setwiseo _let_1 B (tptp.k2_setwiseo _let_1 C))) (tptp.k3_lattices A (tptp.k1_lattice4 A B) C))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v13_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k5_finsub_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 C (tptp.k5_finsub_1 _let_1)) (= (tptp.k3_lattices A (tptp.k1_lattice4 A B) (tptp.k1_lattice4 A C)) (tptp.k1_lattice4 A (tptp.k5_setwiseo _let_1 B C)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v13_lattices A) (tptp.l3_lattices A)) (= (tptp.k1_lattice4 A (tptp.k1_setwiseo (tptp.u1_struct_0 A))) (tptp.k5_lattices A)))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v13_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m2_lattice4 B A) (=> (tptp.r2_hidden (tptp.k5_lattices A) B) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k5_finsub_1 (tptp.u1_struct_0 A))) (=> (tptp.r1_tarski C B) (tptp.r2_hidden (tptp.k1_lattice4 A C) B))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v10_lattices B) (tptp.v14_lattices B) (tptp.l3_lattices B)) (forall ((C $$unsorted)) (=> (tptp.m1_lattice4 C B A) (=> (tptp.v2_lattice4 C B A) (and (tptp.v14_lattices A) (tptp.r2_lattice4 B A C))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v14_lattices A) (tptp.l3_lattices A)) (= (tptp.k2_lattice4 A (tptp.k1_setwiseo (tptp.u1_struct_0 A))) (tptp.k6_lattices A)))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v14_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k5_finsub_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D _let_1 _let_1) (tptp.m2_relset_1 D _let_1 _let_1)) (= (tptp.k3_lattice2 _let_1 A (tptp.k5_setwiseo _let_1 B (tptp.k2_setwiseo _let_1 C)) D) (tptp.k4_lattices A (tptp.k3_lattice2 _let_1 A B D) (tptp.k8_funct_2 _let_1 _let_1 D C)))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v14_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k5_finsub_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 C _let_1) (= (tptp.k2_lattice4 A (tptp.k5_setwiseo _let_1 B (tptp.k2_setwiseo _let_1 C))) (tptp.k4_lattices A (tptp.k2_lattice4 A B) C))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v14_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k5_finsub_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_1 _let_1) (tptp.m2_relset_1 C _let_1 _let_1)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D _let_1 _let_1) (tptp.m2_relset_1 D _let_1 _let_1)) (= (tptp.k3_lattice2 _let_1 A (tptp.k8_setwiseo _let_1 _let_1 C B) D) (tptp.k3_lattice2 _let_1 A B (tptp.k7_funct_2 _let_1 _let_1 _let_1 C D))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v14_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k5_finsub_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 C (tptp.k5_finsub_1 _let_1)) (= (tptp.k4_lattices A (tptp.k2_lattice4 A B) (tptp.k2_lattice4 A C)) (tptp.k2_lattice4 A (tptp.k5_setwiseo _let_1 B C)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v14_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m2_lattice4 B A) (=> (tptp.r2_hidden (tptp.k6_lattices A) B) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k5_finsub_1 (tptp.u1_struct_0 A))) (=> (tptp.r1_tarski C B) (tptp.r2_hidden (tptp.k2_lattice4 A C) B))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v11_lattices A) (tptp.v14_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k5_finsub_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 C _let_1) (= (tptp.k3_lattices A (tptp.k2_lattice4 A B) C) (tptp.k2_lattice4 A (tptp.k8_setwiseo _let_1 _let_1 (tptp.k7_funcop_1 _let_1 _let_1 (tptp.u2_lattices A) (tptp.k7_grcat_1 A) C) B)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v15_lattices A) (tptp.v16_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v10_lattices B) (tptp.v3_filter_0 B) (tptp.l3_lattices B)) (forall ((C $$unsorted)) (=> (tptp.m1_lattice4 C B A) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 B)) (forall ((E $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.u1_struct_0 B))) (=> (tptp.m1_subset_1 E _let_2) (tptp.r3_lattices A (tptp.k4_lattices A (tptp.k8_funct_2 _let_2 _let_1 C D) (tptp.k8_funct_2 _let_2 _let_1 C (tptp.k4_filter_0 B D E))) (tptp.k8_funct_2 _let_2 _let_1 C E)))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v15_lattices A) (tptp.v16_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v10_lattices B) (tptp.v3_filter_0 B) (tptp.l3_lattices B)) (forall ((C $$unsorted)) (=> (tptp.m1_lattice4 C B A) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 B)) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.u1_struct_0 B)) (forall ((F $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.u1_struct_0 B))) (let ((_let_3 (tptp.k8_funct_2 _let_2 _let_1 C E))) (=> (tptp.m1_subset_1 F _let_2) (=> (and (tptp.v1_lattice4 C B A) (tptp.r3_lattices A (tptp.k4_lattices A (tptp.k8_funct_2 _let_2 _let_1 C D) _let_3) (tptp.k8_funct_2 _let_2 _let_1 C F))) (tptp.r3_lattices A _let_3 (tptp.k8_funct_2 _let_2 _let_1 C (tptp.k4_filter_0 B D F))))))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v15_lattices A) (tptp.v16_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v10_lattices B) (tptp.v3_filter_0 B) (tptp.l3_lattices B)) (forall ((C $$unsorted)) (=> (tptp.m1_lattice4 C B A) (=> (tptp.v3_lattice4 C B A) (and (tptp.v3_filter_0 A) (tptp.r1_lattice4 B A C))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v17_lattices A) (tptp.l3_lattices A)) (= (tptp.k7_lattices A (tptp.k6_lattices A)) (tptp.k5_lattices A)))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v17_lattices A) (tptp.l3_lattices A)) (= (tptp.k7_lattices A (tptp.k5_lattices A)) (tptp.k6_lattices A)))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v15_lattices A) (tptp.v16_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v10_lattices B) (tptp.v17_lattices B) (tptp.l3_lattices B)) (forall ((C $$unsorted)) (=> (tptp.m1_lattice4 C B A) (=> (tptp.v2_lattice4 C B A) (and (tptp.v17_lattices A) (tptp.r4_lattice4 B A C))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v17_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (= (tptp.m3_lattice4 B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (=> (and (tptp.r2_hidden C B) (tptp.r2_hidden D B)) (and (tptp.r2_hidden (tptp.k4_lattices A C D) B) (tptp.r2_hidden (tptp.k7_lattices A C) B)))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v17_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m3_lattice4 D A) (=> (and (tptp.r2_hidden B D) (tptp.r2_hidden C D)) (tptp.r2_hidden (tptp.k3_lattices A B C) D)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v17_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m3_lattice4 D A) (=> (and (tptp.r2_hidden B D) (tptp.r2_hidden C D)) (tptp.r2_hidden (tptp.k4_filter_0 A B C) D)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v17_lattices A) (tptp.l3_lattices A)) (tptp.m3_lattice4 (tptp.u1_struct_0 A) A))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v17_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m3_lattice4 B A) (tptp.m2_lattice4 B A))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v17_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (forall ((C $$unsorted)) (=> (tptp.m3_lattice4 C A) (= (= C (tptp.k3_lattice4 A B)) (and (tptp.r1_tarski B C) (forall ((D $$unsorted)) (=> (tptp.m3_lattice4 D A) (=> (tptp.r1_tarski B D) (tptp.r1_tarski C D)))))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v10_lattices B) (tptp.v17_lattices B) (tptp.l3_lattices B)) (forall ((C $$unsorted)) (=> (and (not (tptp.v1_xboole_0 C)) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B)))) (= (tptp.r2_hidden A (tptp.k4_lattice4 B C)) (exists ((D $$unsorted)) (and (tptp.m1_subset_1 D (tptp.u1_struct_0 B)) (exists ((E $$unsorted)) (and (tptp.m1_subset_1 E (tptp.u1_struct_0 B)) (= A (tptp.k4_filter_0 B D E)) (tptp.r2_hidden D C) (tptp.r2_hidden E C)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v17_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (tptp.r2_hidden C (tptp.k4_lattice4 A B)) (exists ((D $$unsorted)) (and (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (exists ((E $$unsorted)) (and (tptp.m1_subset_1 E (tptp.u1_struct_0 A)) (= C (tptp.k3_lattices A (tptp.k7_lattices A D) E)) (tptp.r2_hidden D B) (tptp.r2_hidden E B)))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v17_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_1 _let_1) (tptp.m2_relset_1 B _let_1 _let_1)) (= (= B (tptp.k5_lattice4 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 C _let_1) (= (tptp.k8_funct_2 _let_1 _let_1 B C) (tptp.k7_lattices A C))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v17_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k5_lattice4 A))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 C (tptp.k5_finsub_1 _let_2)) (= (tptp.k2_lattice2 _let_2 A (tptp.k5_setwiseo _let_2 C (tptp.k2_setwiseo _let_2 B)) _let_1) (tptp.k3_lattices A (tptp.k2_lattice2 _let_2 A C _let_1) (tptp.k7_lattices A B))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v17_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 B (tptp.k5_finsub_1 _let_1)) (= (tptp.k7_lattices A (tptp.k1_lattice4 A B)) (tptp.k3_lattice2 _let_1 A B (tptp.k5_lattice4 A)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v17_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k5_lattice4 A))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 C (tptp.k5_finsub_1 _let_2)) (= (tptp.k3_lattice2 _let_2 A (tptp.k5_setwiseo _let_2 C (tptp.k2_setwiseo _let_2 B)) _let_1) (tptp.k4_lattices A (tptp.k3_lattice2 _let_2 A C _let_1) (tptp.k7_lattices A B))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v17_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 B (tptp.k5_finsub_1 _let_1)) (= (tptp.k7_lattices A (tptp.k2_lattice4 A B)) (tptp.k2_lattice2 _let_1 A B (tptp.k5_lattice4 A)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v17_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.m2_lattice4 B A)) (=> (and (tptp.r2_hidden (tptp.k5_lattices A) B) (tptp.r2_hidden (tptp.k6_lattices A) B)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k5_finsub_1 (tptp.u1_struct_0 A))) (not (and (tptp.r1_tarski C (tptp.k4_lattice4 A B)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 D (tptp.k5_finsub_1 _let_1)) (not (and (tptp.r1_tarski D (tptp.k4_lattice4 A B)) (= (tptp.k2_lattice2 _let_1 A C (tptp.k5_lattice4 A)) (tptp.k2_lattice4 A D)))))))))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A) (not (tptp.v3_struct_0 B)) (tptp.v10_lattices B) (tptp.l3_lattices B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (tptp.m1_lattice4 C A B) (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.m2_relset_1 C _let_2 _let_1)))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A) (not (tptp.v3_struct_0 B)) (tptp.v10_lattices B) (tptp.l3_lattices B)) (exists ((C $$unsorted)) (tptp.m1_lattice4 C A B)))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m2_lattice4 B A) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (exists ((B $$unsorted)) (tptp.m2_lattice4 B A)))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v17_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m3_lattice4 B A) (and (not (tptp.v1_xboole_0 B)) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v17_lattices A) (tptp.l3_lattices A)) (exists ((B $$unsorted)) (tptp.m3_lattice4 B A)))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A) (tptp.m1_subset_1 B (tptp.k5_finsub_1 _let_1))) (tptp.m1_subset_1 (tptp.k1_lattice4 A B) _let_1)))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A) (tptp.m1_subset_1 B (tptp.k5_finsub_1 _let_1))) (tptp.m1_subset_1 (tptp.k2_lattice4 A B) _let_1)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v17_lattices A) (tptp.l3_lattices A) (not (tptp.v1_xboole_0 B)) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (tptp.m3_lattice4 (tptp.k3_lattice4 A B) A))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v17_lattices A) (tptp.l3_lattices A) (not (tptp.v1_xboole_0 B)) (tptp.m1_subset_1 B _let_1)) (tptp.m1_subset_1 (tptp.k4_lattice4 A B) _let_1)))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.k5_lattice4 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v17_lattices A) (tptp.l3_lattices A)) (and (tptp.v1_funct_1 _let_2) (tptp.v1_funct_2 _let_2 _let_1 _let_1) (tptp.m2_relset_1 _let_2 _let_1 _let_1)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v17_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (= (tptp.k4_lattice4 A B) (tptp.a_2_0_lattice4 A B)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v17_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.m2_lattice4 B A)) (=> (and (tptp.r2_hidden (tptp.k5_lattices A) B) (tptp.r2_hidden (tptp.k6_lattices A) B)) (= (tptp.a_2_1_lattice4 A B) (tptp.k3_lattice4 A B))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v10_lattices B) (tptp.v17_lattices B) (tptp.l3_lattices B) (not (tptp.v1_xboole_0 C)) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B)))) (= (tptp.r2_hidden A (tptp.a_2_0_lattice4 B C)) (exists ((D $$unsorted) (E $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (and (tptp.m1_subset_1 D _let_1) (tptp.m1_subset_1 E _let_1) (= A (tptp.k4_filter_0 B D E)) (tptp.r2_hidden D C) (tptp.r2_hidden E C))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v10_lattices B) (tptp.v17_lattices B) (tptp.l3_lattices B) (not (tptp.v1_xboole_0 C)) (tptp.m2_lattice4 C B)) (= (tptp.r2_hidden A (tptp.a_2_1_lattice4 B C)) (exists ((D $$unsorted)) (and (tptp.m1_subset_1 D (tptp.k5_finsub_1 (tptp.u1_struct_0 B))) (= A (tptp.k2_lattice4 B D)) (tptp.r1_tarski D (tptp.k4_lattice4 B C))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v7_group_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.v9_vectsp_1 A) (not (tptp.v10_vectsp_1 A)) (tptp.l3_vectsp_1 A) (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v11_vectsp_1 B A) (tptp.v12_vectsp_1 B A) (tptp.l4_vectsp_1 B A)) (exists ((C $$unsorted)) (and (tptp.m1_vectsp_8 C A B) (not (tptp.v1_xboole_0 C)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v7_group_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.v9_vectsp_1 A) (not (tptp.v10_vectsp_1 A)) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v11_vectsp_1 B A) (tptp.v12_vectsp_1 B A) (tptp.l4_vectsp_1 B A)) (= (tptp.k1_vectsp_8 A B) (tptp.g3_lattices (tptp.k3_vectsp_5 A B) (tptp.k5_vectsp_5 A B) (tptp.k6_vectsp_5 A B))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v7_group_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.v9_vectsp_1 A) (not (tptp.v10_vectsp_1 A)) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v11_vectsp_1 B A) (tptp.v12_vectsp_1 B A) (tptp.l4_vectsp_1 B A)) (forall ((C $$unsorted)) (= (tptp.m1_vectsp_8 C A B) (forall ((D $$unsorted)) (=> (tptp.r2_hidden D C) (tptp.m1_vectsp_4 D A B))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v7_group_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.v9_vectsp_1 A) (not (tptp.v10_vectsp_1 A)) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v11_vectsp_1 B A) (tptp.v12_vectsp_1 B A) (tptp.l4_vectsp_1 B A)) (forall ((C $$unsorted)) (=> (tptp.m2_vectsp_8 C A B (tptp.k2_vectsp_8 A B)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B))) (= (= D (tptp.k3_vectsp_8 A B C)) (exists ((E $$unsorted)) (and (tptp.m1_vectsp_4 E A B) (= C E) (= D (tptp.u1_struct_0 E))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v7_group_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.v9_vectsp_1 A) (not (tptp.v10_vectsp_1 A)) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v11_vectsp_1 B A) (tptp.v12_vectsp_1 B A) (tptp.l4_vectsp_1 B A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B)))) (let ((_let_2 (tptp.k2_vectsp_8 A B))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.m2_relset_1 C _let_2 _let_1)) (= (= C (tptp.k4_vectsp_8 A B)) (forall ((D $$unsorted)) (=> (tptp.m2_vectsp_8 D A B (tptp.k2_vectsp_8 A B)) (forall ((E $$unsorted)) (=> (tptp.m1_vectsp_4 E A B) (=> (= D E) (= (tptp.k8_funct_2 (tptp.k2_vectsp_8 A B) (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B)) C D) (tptp.u1_struct_0 E)))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v7_group_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.v9_vectsp_1 A) (not (tptp.v10_vectsp_1 A)) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v11_vectsp_1 B A) (tptp.v12_vectsp_1 B A) (tptp.l4_vectsp_1 B A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k2_vectsp_8 A B))) (=> (and (not (tptp.v1_xboole_0 C)) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 _let_1))) (not (tptp.v1_xboole_0 (tptp.k2_funct_2 _let_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B)) (tptp.k4_vectsp_8 A B) C)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v7_group_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.v9_vectsp_1 A) (not (tptp.v10_vectsp_1 A)) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v11_vectsp_1 B A) (tptp.v12_vectsp_1 B A) (tptp.l4_vectsp_1 B A)) (forall ((C $$unsorted)) (=> (and (tptp.v11_vectsp_1 C A) (tptp.m1_vectsp_4 C A B)) (tptp.r2_hidden (tptp.k1_rlvect_1 B) (tptp.k1_funct_1 (tptp.k4_vectsp_8 A B) C)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v7_group_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.v9_vectsp_1 A) (not (tptp.v10_vectsp_1 A)) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v11_vectsp_1 B A) (tptp.v12_vectsp_1 B A) (tptp.l4_vectsp_1 B A)) (forall ((C $$unsorted)) (=> (and (not (tptp.v1_xboole_0 C)) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.k2_vectsp_8 A B)))) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (=> (and (tptp.v11_vectsp_1 D A) (tptp.m1_vectsp_4 D A B)) (= (= D (tptp.k5_vectsp_8 A B C)) (= (tptp.u1_struct_0 D) (tptp.k6_setfam_1 _let_1 (tptp.k2_funct_2 (tptp.k2_vectsp_8 A B) (tptp.k1_zfmisc_1 _let_1) (tptp.k4_vectsp_8 A B) C))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v7_group_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.v9_vectsp_1 A) (not (tptp.v10_vectsp_1 A)) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v11_vectsp_1 B A) (tptp.v12_vectsp_1 B A) (tptp.l4_vectsp_1 B A)) (= (tptp.k2_vectsp_8 A B) (tptp.u1_struct_0 (tptp.k1_vectsp_8 A B))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v7_group_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.v9_vectsp_1 A) (not (tptp.v10_vectsp_1 A)) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v11_vectsp_1 B A) (tptp.v12_vectsp_1 B A) (tptp.l4_vectsp_1 B A)) (= (tptp.u1_lattices (tptp.k1_vectsp_8 A B)) (tptp.k6_vectsp_5 A B)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v7_group_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.v9_vectsp_1 A) (not (tptp.v10_vectsp_1 A)) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v11_vectsp_1 B A) (tptp.v12_vectsp_1 B A) (tptp.l4_vectsp_1 B A)) (= (tptp.u2_lattices (tptp.k1_vectsp_8 A B)) (tptp.k5_vectsp_5 A B)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v7_group_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.v9_vectsp_1 A) (not (tptp.v10_vectsp_1 A)) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v11_vectsp_1 B A) (tptp.v12_vectsp_1 B A) (tptp.l4_vectsp_1 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 (tptp.k1_vectsp_8 A B))) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 (tptp.k1_vectsp_8 A B))) (forall ((E $$unsorted)) (=> (and (tptp.v11_vectsp_1 E A) (tptp.m1_vectsp_4 E A B)) (forall ((F $$unsorted)) (=> (and (tptp.v11_vectsp_1 F A) (tptp.m1_vectsp_4 F A B)) (=> (and (= C E) (= D F)) (= (tptp.r3_lattices (tptp.k1_vectsp_8 A B) C D) (tptp.r1_tarski (tptp.u1_struct_0 E) (tptp.u1_struct_0 F)))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v7_group_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.v9_vectsp_1 A) (not (tptp.v10_vectsp_1 A)) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v11_vectsp_1 B A) (tptp.v12_vectsp_1 B A) (tptp.l4_vectsp_1 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 (tptp.k1_vectsp_8 A B))) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 (tptp.k1_vectsp_8 A B))) (forall ((E $$unsorted)) (=> (tptp.m1_vectsp_4 E A B) (forall ((F $$unsorted)) (=> (tptp.m1_vectsp_4 F A B) (=> (and (= C E) (= D F)) (= (tptp.k3_lattices (tptp.k1_vectsp_8 A B) C D) (tptp.k1_vectsp_5 A B E F))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v7_group_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.v9_vectsp_1 A) (not (tptp.v10_vectsp_1 A)) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v11_vectsp_1 B A) (tptp.v12_vectsp_1 B A) (tptp.l4_vectsp_1 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 (tptp.k1_vectsp_8 A B))) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 (tptp.k1_vectsp_8 A B))) (forall ((E $$unsorted)) (=> (tptp.m1_vectsp_4 E A B) (forall ((F $$unsorted)) (=> (tptp.m1_vectsp_4 F A B) (=> (and (= C E) (= D F)) (= (tptp.k4_lattices (tptp.k1_vectsp_8 A B) C D) (tptp.k2_vectsp_5 A B E F))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l3_lattices A)) (= (tptp.v4_lattice3 A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (exists ((C $$unsorted)) (and (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (tptp.r3_lattice3 A C B) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (=> (tptp.r3_lattice3 A D B) (tptp.r1_lattices A D C))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v7_group_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.v9_vectsp_1 A) (not (tptp.v10_vectsp_1 A)) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v11_vectsp_1 B A) (tptp.v12_vectsp_1 B A) (tptp.l4_vectsp_1 B A)) (tptp.v4_lattice3 (tptp.k1_vectsp_8 A B)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v7_group_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.v9_vectsp_1 A) (not (tptp.v10_vectsp_1 A)) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.v3_rlvect_1 C) (tptp.v4_rlvect_1 C) (tptp.v5_rlvect_1 C) (tptp.v6_rlvect_1 C) (tptp.v11_vectsp_1 C A) (tptp.v12_vectsp_1 C A) (tptp.l4_vectsp_1 C A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 C))) (=> (and (tptp.v1_vectsp_4 D A C) (tptp.r1_rlvect_1 (tptp.k1_vectsp_7 A C D) B)) (or (tptp.v1_xboole_0 D) (tptp.r2_hidden B D))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v7_group_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.v9_vectsp_1 A) (not (tptp.v10_vectsp_1 A)) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v11_vectsp_1 B A) (tptp.v12_vectsp_1 B A) (tptp.l4_vectsp_1 B A)) (forall ((C $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.v3_rlvect_1 C) (tptp.v4_rlvect_1 C) (tptp.v5_rlvect_1 C) (tptp.v6_rlvect_1 C) (tptp.v11_vectsp_1 C A) (tptp.v12_vectsp_1 C A) (tptp.l4_vectsp_1 C A)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 C))) (let ((_let_2 (tptp.u1_struct_0 B))) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D _let_2 _let_1) (tptp.m2_relset_1 D _let_2 _let_1)) (forall ((E $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 (tptp.k1_vectsp_8 A C)))) (let ((_let_2 (tptp.u1_struct_0 (tptp.k1_vectsp_8 A B)))) (=> (and (tptp.v1_funct_1 E) (tptp.v1_funct_2 E _let_2 _let_1) (tptp.m2_relset_1 E _let_2 _let_1)) (= (= E (tptp.k6_vectsp_8 A B C D)) (forall ((F $$unsorted)) (=> (and (tptp.v11_vectsp_1 F A) (tptp.m1_vectsp_4 F A B)) (forall ((G $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 C))) (=> (tptp.m1_subset_1 G (tptp.k1_zfmisc_1 _let_1)) (=> (= G (tptp.k2_funct_2 (tptp.u1_struct_0 B) _let_1 D (tptp.u1_struct_0 F))) (= (tptp.k1_funct_1 E F) (tptp.k1_vectsp_7 A C G))))))))))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v10_lattices B) (tptp.l3_lattices B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.m2_relset_1 C _let_2 _let_1)) (= (tptp.m3_vectsp_8 C A B) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (forall ((E $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 E _let_2) (= (tptp.k8_funct_2 _let_2 _let_1 C (tptp.k4_lattices A D E)) (tptp.k4_lattices B (tptp.k8_funct_2 _let_2 _let_1 C D) (tptp.k8_funct_2 _let_2 _let_1 C E)))))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v10_lattices B) (tptp.l3_lattices B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.m2_relset_1 C _let_2 _let_1)) (= (tptp.m4_vectsp_8 C A B) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (forall ((E $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 E _let_2) (= (tptp.k8_funct_2 _let_2 _let_1 C (tptp.k3_lattices A D E)) (tptp.k3_lattices B (tptp.k8_funct_2 _let_2 _let_1 C D) (tptp.k8_funct_2 _let_2 _let_1 C E)))))))))))))))))) _let_5 (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v7_group_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.v9_vectsp_1 A) (not (tptp.v10_vectsp_1 A)) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v11_vectsp_1 B A) (tptp.v12_vectsp_1 B A) (tptp.l4_vectsp_1 B A)) (forall ((C $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.v3_rlvect_1 C) (tptp.v4_rlvect_1 C) (tptp.v5_rlvect_1 C) (tptp.v6_rlvect_1 C) (tptp.v11_vectsp_1 C A) (tptp.v12_vectsp_1 C A) (tptp.l4_vectsp_1 C A)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 C))) (let ((_let_2 (tptp.u1_struct_0 B))) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D _let_2 _let_1) (tptp.m2_relset_1 D _let_2 _let_1)) (=> (tptp.v1_mod_2 D A B C) (tptp.m4_vectsp_8 (tptp.k6_vectsp_8 A B C D) (tptp.k1_vectsp_8 A B) (tptp.k1_vectsp_8 A C))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v7_group_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.v9_vectsp_1 A) (not (tptp.v10_vectsp_1 A)) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v11_vectsp_1 B A) (tptp.v12_vectsp_1 B A) (tptp.l4_vectsp_1 B A)) (forall ((C $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.v3_rlvect_1 C) (tptp.v4_rlvect_1 C) (tptp.v5_rlvect_1 C) (tptp.v6_rlvect_1 C) (tptp.v11_vectsp_1 C A) (tptp.v12_vectsp_1 C A) (tptp.l4_vectsp_1 C A)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 C))) (let ((_let_2 (tptp.u1_struct_0 B))) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D _let_2 _let_1) (tptp.m2_relset_1 D _let_2 _let_1)) (=> (and (tptp.v2_funct_1 D) (tptp.v1_mod_2 D A B C)) (tptp.m1_lattice4 (tptp.k6_vectsp_8 A B C D) (tptp.k1_vectsp_8 A B) (tptp.k1_vectsp_8 A C))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v7_group_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.v9_vectsp_1 A) (not (tptp.v10_vectsp_1 A)) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v11_vectsp_1 B A) (tptp.v12_vectsp_1 B A) (tptp.l4_vectsp_1 B A)) (forall ((C $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.v3_rlvect_1 C) (tptp.v4_rlvect_1 C) (tptp.v5_rlvect_1 C) (tptp.v6_rlvect_1 C) (tptp.v11_vectsp_1 C A) (tptp.v12_vectsp_1 C A) (tptp.l4_vectsp_1 C A)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 C))) (let ((_let_2 (tptp.u1_struct_0 B))) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D _let_2 _let_1) (tptp.m2_relset_1 D _let_2 _let_1)) (=> (and (tptp.v1_mod_2 D A B C) (tptp.v2_funct_1 D)) (tptp.v2_funct_1 (tptp.k6_vectsp_8 A B C D))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v7_group_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.v9_vectsp_1 A) (not (tptp.v10_vectsp_1 A)) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v11_vectsp_1 B A) (tptp.v12_vectsp_1 B A) (tptp.l4_vectsp_1 B A)) (= (tptp.k6_vectsp_8 A B B (tptp.k6_partfun1 (tptp.u1_struct_0 B))) (tptp.k6_partfun1 (tptp.u1_struct_0 (tptp.k1_vectsp_8 A B)))))))) true (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v7_group_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.v9_vectsp_1 A) (not (tptp.v10_vectsp_1 A)) (tptp.l3_vectsp_1 A) (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v11_vectsp_1 B A) (tptp.v12_vectsp_1 B A) (tptp.l4_vectsp_1 B A)) (exists ((C $$unsorted)) (tptp.m1_vectsp_8 C A B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v7_group_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.v9_vectsp_1 A) (not (tptp.v10_vectsp_1 A)) (tptp.l3_vectsp_1 A) (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v11_vectsp_1 B A) (tptp.v12_vectsp_1 B A) (tptp.l4_vectsp_1 B A) (not (tptp.v1_xboole_0 C)) (tptp.m1_vectsp_8 C A B)) (forall ((D $$unsorted)) (=> (tptp.m2_vectsp_8 D A B C) (tptp.m1_vectsp_4 D A B))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v7_group_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.v9_vectsp_1 A) (not (tptp.v10_vectsp_1 A)) (tptp.l3_vectsp_1 A) (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v11_vectsp_1 B A) (tptp.v12_vectsp_1 B A) (tptp.l4_vectsp_1 B A) (not (tptp.v1_xboole_0 C)) (tptp.m1_vectsp_8 C A B)) (exists ((D $$unsorted)) (tptp.m2_vectsp_8 D A B C)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v7_group_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.v9_vectsp_1 A) (not (tptp.v10_vectsp_1 A)) (tptp.l3_vectsp_1 A) (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v11_vectsp_1 B A) (tptp.v12_vectsp_1 B A) (tptp.l4_vectsp_1 B A) (not (tptp.v1_xboole_0 C)) (tptp.m1_vectsp_8 C A B)) (forall ((D $$unsorted)) (= (tptp.m2_vectsp_8 D A B C) (tptp.m1_subset_1 D C))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A) (not (tptp.v3_struct_0 B)) (tptp.v10_lattices B) (tptp.l3_lattices B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (tptp.m3_vectsp_8 C A B) (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.m2_relset_1 C _let_2 _let_1)))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A) (not (tptp.v3_struct_0 B)) (tptp.v10_lattices B) (tptp.l3_lattices B)) (exists ((C $$unsorted)) (tptp.m3_vectsp_8 C A B)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A) (not (tptp.v3_struct_0 B)) (tptp.v10_lattices B) (tptp.l3_lattices B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (tptp.m4_vectsp_8 C A B) (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.m2_relset_1 C _let_2 _let_1)))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A) (not (tptp.v3_struct_0 B)) (tptp.v10_lattices B) (tptp.l3_lattices B)) (exists ((C $$unsorted)) (tptp.m4_vectsp_8 C A B)))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k1_vectsp_8 A B))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v7_group_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.v9_vectsp_1 A) (not (tptp.v10_vectsp_1 A)) (tptp.l3_vectsp_1 A) (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v11_vectsp_1 B A) (tptp.v12_vectsp_1 B A) (tptp.l4_vectsp_1 B A)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v3_lattices _let_1) (tptp.v10_lattices _let_1) (tptp.v15_lattices _let_1) (tptp.l3_lattices _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k2_vectsp_8 A B))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v7_group_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.v9_vectsp_1 A) (not (tptp.v10_vectsp_1 A)) (tptp.l3_vectsp_1 A) (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v11_vectsp_1 B A) (tptp.v12_vectsp_1 B A) (tptp.l4_vectsp_1 B A)) (and (not (tptp.v1_xboole_0 _let_1)) (tptp.m1_vectsp_8 _let_1 A B))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v7_group_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.v9_vectsp_1 A) (not (tptp.v10_vectsp_1 A)) (tptp.l3_vectsp_1 A) (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v11_vectsp_1 B A) (tptp.v12_vectsp_1 B A) (tptp.l4_vectsp_1 B A)) (= (tptp.k2_vectsp_8 A B) (tptp.k3_vectsp_5 A B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v7_group_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.v9_vectsp_1 A) (not (tptp.v10_vectsp_1 A)) (tptp.l3_vectsp_1 A) (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v11_vectsp_1 B A) (tptp.v12_vectsp_1 B A) (tptp.l4_vectsp_1 B A) (tptp.m1_subset_1 C (tptp.k2_vectsp_8 A B))) (tptp.m1_subset_1 (tptp.k3_vectsp_8 A B C) (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B)))) (let ((_let_2 (tptp.k2_vectsp_8 A B))) (let ((_let_3 (tptp.k4_vectsp_8 A B))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v7_group_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.v9_vectsp_1 A) (not (tptp.v10_vectsp_1 A)) (tptp.l3_vectsp_1 A) (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v11_vectsp_1 B A) (tptp.v12_vectsp_1 B A) (tptp.l4_vectsp_1 B A)) (and (tptp.v1_funct_1 _let_3) (tptp.v1_funct_2 _let_3 _let_2 _let_1) (tptp.m2_relset_1 _let_3 _let_2 _let_1))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k5_vectsp_8 A B C))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v7_group_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.v9_vectsp_1 A) (not (tptp.v10_vectsp_1 A)) (tptp.l3_vectsp_1 A) (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v11_vectsp_1 B A) (tptp.v12_vectsp_1 B A) (tptp.l4_vectsp_1 B A) (not (tptp.v1_xboole_0 C)) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.k2_vectsp_8 A B)))) (and (tptp.v11_vectsp_1 _let_1 A) (tptp.m1_vectsp_4 _let_1 A B))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 (tptp.k1_vectsp_8 A C)))) (let ((_let_2 (tptp.u1_struct_0 (tptp.k1_vectsp_8 A B)))) (let ((_let_3 (tptp.k6_vectsp_8 A B C D))) (let ((_let_4 (tptp.u1_struct_0 C))) (let ((_let_5 (tptp.u1_struct_0 B))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v7_group_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.v9_vectsp_1 A) (not (tptp.v10_vectsp_1 A)) (tptp.l3_vectsp_1 A) (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v11_vectsp_1 B A) (tptp.v12_vectsp_1 B A) (tptp.l4_vectsp_1 B A) (not (tptp.v3_struct_0 C)) (tptp.v3_rlvect_1 C) (tptp.v4_rlvect_1 C) (tptp.v5_rlvect_1 C) (tptp.v6_rlvect_1 C) (tptp.v11_vectsp_1 C A) (tptp.v12_vectsp_1 C A) (tptp.l4_vectsp_1 C A) (tptp.v1_funct_1 D) (tptp.v1_funct_2 D _let_5 _let_4) (tptp.m1_relset_1 D _let_5 _let_4)) (and (tptp.v1_funct_1 _let_3) (tptp.v1_funct_2 _let_3 _let_2 _let_1) (tptp.m2_relset_1 _let_3 _let_2 _let_1))))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (let ((_let_2 (tptp.k1_group_3 A))) (let ((_let_3 (tptp.k1_latsubgr A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (and (tptp.v1_funct_1 _let_3) (tptp.v1_funct_2 _let_3 _let_2 _let_1) (tptp.m2_relset_1 _let_3 _let_2 _let_1))))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k2_latsubgr A B))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A) (not (tptp.v1_xboole_0 B)) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.k1_group_3 A)))) (and (tptp.v1_group_1 _let_1) (tptp.m1_group_2 _let_1 A))))) _let_4 (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_group_2 B A) (forall ((C $$unsorted)) (=> (tptp.m1_group_2 C A) (= (tptp.u1_struct_0 (tptp.k9_group_2 A B C)) (tptp.k3_xboole_0 (tptp.u1_struct_0 B) (tptp.u1_struct_0 C))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (= (tptp.r2_hidden B (tptp.k1_group_3 A)) (exists ((C $$unsorted)) (and (tptp.v1_group_1 C) (tptp.m1_group_2 C A) (= B C))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (=> (and (tptp.v1_group_1 C) (tptp.m1_group_2 C A)) (=> (= B (tptp.u1_struct_0 C)) (tptp.r1_group_2 A (tptp.k5_group_4 A B) C)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_group_2 B A) (forall ((C $$unsorted)) (=> (tptp.m1_group_2 C A) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (= D (tptp.k2_xboole_0 (tptp.u1_struct_0 B) (tptp.u1_struct_0 C))) (tptp.r1_group_2 A (tptp.k8_group_4 A B C) (tptp.k5_group_4 A D))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_group_2 B A) (forall ((C $$unsorted)) (=> (tptp.m1_group_2 C A) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (=> (or (tptp.r1_rlvect_1 B D) (tptp.r1_rlvect_1 C D)) (tptp.r1_rlvect_1 (tptp.k8_group_4 A B C) D)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_group_1 B) (tptp.v4_group_1 B) (tptp.l1_group_1 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.v1_group_6 C A B) (tptp.m2_relset_1 C _let_2 _let_1)) (forall ((D $$unsorted)) (=> (tptp.m1_group_2 D A) (exists ((E $$unsorted)) (and (tptp.v1_group_1 E) (tptp.m1_group_2 E B) (= (tptp.u1_struct_0 E) (tptp.k2_funct_2 (tptp.u1_struct_0 A) (tptp.u1_struct_0 B) C (tptp.u1_struct_0 D))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_group_1 B) (tptp.v4_group_1 B) (tptp.l1_group_1 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.v1_group_6 C A B) (tptp.m2_relset_1 C _let_2 _let_1)) (forall ((D $$unsorted)) (=> (tptp.m1_group_2 D B) (exists ((E $$unsorted)) (and (tptp.v1_group_1 E) (tptp.m1_group_2 E A) (= (tptp.u1_struct_0 E) (tptp.k3_funct_2 (tptp.u1_struct_0 A) (tptp.u1_struct_0 B) C (tptp.u1_struct_0 D))))))))))))))) true true (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_group_1 B) (tptp.v4_group_1 B) (tptp.l1_group_1 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.v1_group_6 C A B) (tptp.m2_relset_1 C _let_2 _let_1)) (forall ((D $$unsorted)) (=> (tptp.m1_group_2 D A) (forall ((E $$unsorted)) (=> (tptp.m1_group_2 E A) (forall ((F $$unsorted)) (=> (tptp.m1_group_2 F B) (forall ((G $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (tptp.m1_group_2 G B) (=> (and (= (tptp.u1_struct_0 F) (tptp.k2_funct_2 _let_2 _let_1 C (tptp.u1_struct_0 D))) (= (tptp.u1_struct_0 G) (tptp.k2_funct_2 _let_2 _let_1 C (tptp.u1_struct_0 E))) (tptp.m1_group_6 D A E)) (tptp.m1_group_6 F B G)))))))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_group_1 B) (tptp.v4_group_1 B) (tptp.l1_group_1 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.v1_group_6 C A B) (tptp.m2_relset_1 C _let_2 _let_1)) (forall ((D $$unsorted)) (=> (tptp.m1_group_2 D B) (forall ((E $$unsorted)) (=> (tptp.m1_group_2 E B) (forall ((F $$unsorted)) (=> (tptp.m1_group_2 F A) (forall ((G $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (tptp.m1_group_2 G A) (=> (and (= (tptp.u1_struct_0 F) (tptp.k3_funct_2 _let_2 _let_1 C (tptp.u1_struct_0 D))) (= (tptp.u1_struct_0 G) (tptp.k3_funct_2 _let_2 _let_1 C (tptp.u1_struct_0 E))) (tptp.m1_group_6 D B E)) (tptp.m1_group_6 F A G)))))))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_group_1 B) (tptp.v4_group_1 B) (tptp.l1_group_1 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.m2_relset_1 C _let_2 _let_1)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 _let_2)) (tptp.r1_tarski (tptp.k2_funct_2 _let_2 _let_1 C D) (tptp.k2_funct_2 _let_2 _let_1 C (tptp.u1_struct_0 (tptp.k5_group_4 A D)))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_group_1 B) (tptp.v4_group_1 B) (tptp.l1_group_1 B)) (forall ((C $$unsorted)) (=> (tptp.m1_group_2 C A) (forall ((D $$unsorted)) (=> (tptp.m1_group_2 D A) (forall ((E $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 E) (tptp.v1_funct_2 E _let_2 _let_1) (tptp.m2_relset_1 E _let_2 _let_1)) (forall ((F $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 F (tptp.k1_zfmisc_1 _let_2)) (=> (= F (tptp.k2_xboole_0 (tptp.u1_struct_0 C) (tptp.u1_struct_0 D))) (= (tptp.k2_funct_2 _let_2 _let_1 E (tptp.u1_struct_0 (tptp.k8_group_4 A C D))) (tptp.k2_funct_2 _let_2 _let_1 E (tptp.u1_struct_0 (tptp.k5_group_4 A F))))))))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 _let_1)) (=> (= B (tptp.k18_group_2 _let_1 (tptp.k2_group_1 A))) (tptp.r1_group_2 A (tptp.k5_group_4 A B) (tptp.k5_group_2 A)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (let ((_let_2 (tptp.k1_group_3 A))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_2 _let_1) (tptp.m2_relset_1 B _let_2 _let_1)) (= (= B (tptp.k1_latsubgr A)) (forall ((C $$unsorted)) (=> (and (tptp.v1_group_1 C) (tptp.m1_group_2 C A)) (= (tptp.k1_funct_1 B C) (tptp.u1_struct_0 C))))))))))) true true true (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_group_1 B) (tptp.m1_group_2 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (tptp.r2_hidden C (tptp.k1_funct_1 (tptp.k1_latsubgr A) B)) (tptp.r1_rlvect_1 B C)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_group_1 B) (tptp.m1_group_2 B A)) (tptp.r2_hidden (tptp.k2_group_1 A) (tptp.k1_funct_1 (tptp.k1_latsubgr A) B)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_group_1 B) (tptp.m1_group_2 B A)) (not (= (tptp.k1_funct_1 (tptp.k1_latsubgr A) B) tptp.k1_xboole_0)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_group_1 B) (tptp.m1_group_2 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k1_funct_1 (tptp.k1_latsubgr A) B))) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (=> (and (tptp.r2_hidden C _let_1) (tptp.r2_hidden D _let_1)) (tptp.r2_hidden (tptp.k1_group_1 A C D) _let_1))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_group_1 B) (tptp.m1_group_2 B A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k1_funct_1 (tptp.k1_latsubgr A) B))) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (=> (tptp.r2_hidden C _let_1) (tptp.r2_hidden (tptp.k3_group_1 A C) _let_1))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_group_1 B) (tptp.m1_group_2 B A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k1_latsubgr A))) (=> (and (tptp.v1_group_1 C) (tptp.m1_group_2 C A)) (= (tptp.u1_struct_0 (tptp.k9_group_2 A B C)) (tptp.k3_xboole_0 (tptp.k1_funct_1 _let_1 B) (tptp.k1_funct_1 _let_1 C)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_group_1 B) (tptp.m1_group_2 B A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k1_latsubgr A))) (=> (and (tptp.v1_group_1 C) (tptp.m1_group_2 C A)) (= (tptp.k1_funct_1 _let_1 (tptp.k9_group_2 A B C)) (tptp.k3_xboole_0 (tptp.k1_funct_1 _let_1 B) (tptp.k1_funct_1 _let_1 C)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.k1_group_3 A)))) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_group_1 C) (tptp.m1_group_2 C A)) (= (= C (tptp.k2_latsubgr A B)) (= (tptp.u1_struct_0 C) (tptp.k6_setfam_1 _let_1 (tptp.k2_funct_2 (tptp.k1_group_3 A) (tptp.k1_zfmisc_1 _let_1) (tptp.k1_latsubgr A) B))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k5_group_2 A))) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.k1_group_3 A)))) (=> (tptp.r2_hidden _let_1 B) (tptp.r1_group_2 A (tptp.k2_latsubgr A B) _let_1))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_group_3 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k1_group_3 A))) (=> (and (not (tptp.v1_xboole_0 C)) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 _let_1))) (=> (= C (tptp.k18_group_2 _let_1 B)) (= (tptp.k2_latsubgr A C) B))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_group_2 B A) (forall ((C $$unsorted)) (=> (tptp.m1_group_2 C A) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 (tptp.k11_group_4 A))) (forall ((E $$unsorted)) (let ((_let_1 (tptp.k11_group_4 A))) (=> (tptp.m1_subset_1 E (tptp.u1_struct_0 _let_1)) (=> (and (= D B) (= E C)) (= (tptp.k3_lattices _let_1 D E) (tptp.k8_group_4 A B C)))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_group_2 B A) (forall ((C $$unsorted)) (=> (tptp.m1_group_2 C A) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 (tptp.k11_group_4 A))) (forall ((E $$unsorted)) (let ((_let_1 (tptp.k11_group_4 A))) (=> (tptp.m1_subset_1 E (tptp.u1_struct_0 _let_1)) (=> (and (= D B) (= E C)) (= (tptp.k4_lattices _let_1 D E) (tptp.k9_group_2 A B C)))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 (tptp.k11_group_4 A))) (forall ((C $$unsorted)) (let ((_let_1 (tptp.m1_group_2 C A))) (=> _let_1 (=> (= B C) (and (tptp.v1_group_1 C) _let_1))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_group_2 B A) (forall ((C $$unsorted)) (=> (tptp.m1_group_2 C A) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 (tptp.k11_group_4 A))) (forall ((E $$unsorted)) (let ((_let_1 (tptp.k11_group_4 A))) (=> (tptp.m1_subset_1 E (tptp.u1_struct_0 _let_1)) (=> (and (= D B) (= E C)) (= (tptp.r3_lattices _let_1 D E) (tptp.r1_tarski (tptp.u1_struct_0 B) (tptp.u1_struct_0 C))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_group_2 B A) (forall ((C $$unsorted)) (=> (tptp.m1_group_2 C A) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 (tptp.k11_group_4 A))) (forall ((E $$unsorted)) (let ((_let_1 (tptp.k11_group_4 A))) (=> (tptp.m1_subset_1 E (tptp.u1_struct_0 _let_1)) (=> (and (= D B) (= E C)) (= (tptp.r3_lattices _let_1 D E) (tptp.m1_group_6 B A C)))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (tptp.v4_lattice3 (tptp.k11_group_4 A)))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_group_1 B) (tptp.v4_group_1 B) (tptp.l1_group_1 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.m2_relset_1 C _let_2 _let_1)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 (tptp.k11_group_4 B)))) (let ((_let_2 (tptp.u1_struct_0 (tptp.k11_group_4 A)))) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D _let_2 _let_1) (tptp.m2_relset_1 D _let_2 _let_1)) (= (= D (tptp.k3_latsubgr A B C)) (forall ((E $$unsorted)) (=> (and (tptp.v1_group_1 E) (tptp.m1_group_2 E A)) (forall ((F $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (=> (tptp.m1_subset_1 F (tptp.k1_zfmisc_1 _let_1)) (=> (= F (tptp.k2_funct_2 (tptp.u1_struct_0 A) _let_1 C (tptp.u1_struct_0 E))) (= (tptp.k1_funct_1 D E) (tptp.k5_group_4 B F))))))))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (= (tptp.k3_latsubgr A A (tptp.k6_partfun1 (tptp.u1_struct_0 A))) (tptp.k6_partfun1 (tptp.u1_struct_0 (tptp.k11_group_4 A)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_group_1 B) (tptp.v4_group_1 B) (tptp.l1_group_1 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.v1_group_6 C A B) (tptp.m2_relset_1 C _let_2 _let_1)) (=> (tptp.v2_funct_1 C) (tptp.v2_funct_1 (tptp.k3_latsubgr A B C))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_group_1 B) (tptp.v4_group_1 B) (tptp.l1_group_1 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.v1_group_6 C A B) (tptp.m2_relset_1 C _let_2 _let_1)) (= (tptp.k1_funct_1 (tptp.k3_latsubgr A B C) (tptp.k5_group_2 A)) (tptp.k5_group_2 B)))))))))) _let_3 _let_2 _let_1 true))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 91.60/91.90 )
% 91.60/91.90 % SZS output end Proof for GRP653+2
% 91.60/91.90 % cvc5---1.0.5 exiting
% 91.60/91.90 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------