%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : LAT298+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n002.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 06:03:46 EDT 2023

% Result   : Theorem 27.41s 27.70s
% Output   : Proof 27.41s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem    : LAT298+1 : TPTP v8.1.2. Released v3.4.0.
% 0.12/0.14  % Command    : do_cvc5 %s %d
% 0.14/0.36  % Computer : n002.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit   : 300
% 0.14/0.36  % WCLimit    : 300
% 0.14/0.36  % DateTime   : Thu Aug 24 09:33:46 EDT 2023
% 0.14/0.36  % CPUTime    : 
% 0.21/0.50  %----Proving TF0_NAR, FOF, or CNF
% 27.41/27.70  ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.vqKtAmCMFh/cvc5---1.0.5_6008.p...
% 27.41/27.70  ------- get file name : TPTP file name is LAT298+1
% 27.41/27.70  ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_6008.smt2...
% 27.41/27.70  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 27.41/27.70  --- Run --no-e-matching --full-saturate-quant at 5...
% 27.41/27.70  --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 5...
% 27.41/27.70  --- Run --finite-model-find --uf-ss=no-minimal at 5...
% 27.41/27.70  --- Run --multi-trigger-when-single --full-saturate-quant at 5...
% 27.41/27.70  % SZS status Theorem for LAT298+1
% 27.41/27.70  % SZS output start Proof for LAT298+1
% 27.41/27.70  (
% 27.41/27.70  (let ((_let_1 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.m2_relset_1 C A B) (tptp.m1_relset_1 C A B))))) (let ((_let_2 (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (= (tptp.m1_filter_2 B A) (tptp.m1_filter_0 B A))))))) (let ((_let_3 (forall ((A $$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))))))) (let ((_let_4 (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))))))))) (let ((_let_5 (forall ((A $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.k2_zfmisc_1 _let_1 _let_1))) (let ((_let_3 (tptp.u2_lattices A))) (=> (tptp.l2_lattices A) (and (tptp.v1_funct_1 _let_3) (tptp.v1_funct_2 _let_3 _let_2 _let_1) (tptp.m2_relset_1 _let_3 _let_2 _let_1))))))))) (let ((_let_6 (forall ((A $$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))))))))) (let ((_let_7 (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))))))))) (let ((_let_8 (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_filter_2 B A) (and (not (tptp.v1_xboole_0 B)) (tptp.m2_lattice4 B A)))))))) (let ((_let_9 (forall ((A $$unsorted)) (=> (tptp.l3_lattices A) (and (tptp.l1_lattices A) (tptp.l2_lattices A)))))) (let ((_let_10 (forall ((A $$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))))))))))) (let ((_let_11 (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))))))))))))) (let ((_let_12 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v6_lattices A) (tptp.l1_lattices A) (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (= (tptp.k4_lattices A B C) (tptp.k4_lattices A C B))))))) (let ((_let_13 (forall ((A $$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)))))))) (let ((_let_14 (not (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.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 ((C $$unsorted)) (=> (tptp.m1_filter_2 C A) (tptp.m1_filter_2 C B))))))))))) (let ((_let_15 (tptp.u1_struct_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_16 (tptp.u1_struct_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_17 (= _let_16 _let_15))) (let ((_let_18 (tptp.u1_lattices SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_19 (tptp.u1_lattices SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_20 (= _let_19 _let_18))) (let ((_let_21 (tptp.k2_lattices SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_54 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_55))) (let ((_let_22 (tptp.k4_lattices SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_54 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_55))) (let ((_let_23 (= _let_22 _let_21))) (let ((_let_24 (tptp.k4_lattices SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_54 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_55))) (let ((_let_25 (= _let_24 (tptp.k4_lattices SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_55 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_54)))) (let ((_let_26 (= _let_21 (tptp.k2_binop_1 _let_15 _let_15 _let_15 _let_18 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_54 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_55)))) (let ((_let_27 (tptp.k2_lattices SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_54 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_55))) (let ((_let_28 (= _let_27 (tptp.k2_binop_1 _let_16 _let_16 _let_16 _let_19 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_54 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_55)))) (let ((_let_29 (= _let_24 _let_27))) (let ((_let_30 (tptp.r2_hidden _let_22 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_31 (tptp.r2_hidden _let_24 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_32 (tptp.u2_lattices SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_33 (tptp.u2_lattices SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_34 (and _let_17 (= _let_33 _let_32) _let_20))) (let ((_let_35 (= (tptp.g3_lattices _let_16 _let_33 _let_19) (tptp.g3_lattices _let_15 _let_32 _let_18)))) (let ((_let_36 (not _let_35))) (let ((_let_37 (tptp.k2_zfmisc_1 _let_16 _let_16))) (let ((_let_38 (tptp.m1_relset_1 _let_19 _let_37 _let_16))) (let ((_let_39 (not _let_38))) (let ((_let_40 (tptp.v1_funct_2 _let_19 _let_37 _let_16))) (let ((_let_41 (not _let_40))) (let ((_let_42 (tptp.v1_funct_1 _let_19))) (let ((_let_43 (not _let_42))) (let ((_let_44 (tptp.m1_relset_1 _let_33 _let_37 _let_16))) (let ((_let_45 (not _let_44))) (let ((_let_46 (tptp.v1_funct_2 _let_33 _let_37 _let_16))) (let ((_let_47 (not _let_46))) (let ((_let_48 (tptp.v1_funct_1 _let_33))) (let ((_let_49 (not _let_48))) (let ((_let_50 (or _let_49 _let_47 _let_45 _let_43 _let_41 _let_39 _let_36 _let_34))) (let ((_let_51 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (BOUND_VARIABLE_2099 $$unsorted) (BOUND_VARIABLE_2097 $$unsorted) (BOUND_VARIABLE_2095 $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A A))) (or (not (tptp.v1_funct_1 B)) (not (tptp.v1_funct_2 B _let_1 A)) (not (tptp.m1_relset_1 B _let_1 A)) (not (tptp.v1_funct_1 C)) (not (tptp.v1_funct_2 C _let_1 A)) (not (tptp.m1_relset_1 C _let_1 A)) (not (= (tptp.g3_lattices A B C) (tptp.g3_lattices BOUND_VARIABLE_2095 BOUND_VARIABLE_2097 BOUND_VARIABLE_2099))) (and (= A BOUND_VARIABLE_2095) (= B BOUND_VARIABLE_2097) (= C BOUND_VARIABLE_2099))))))) (let ((_let_52 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_53 (tptp.m2_relset_1 _let_19 _let_37 _let_16))) (let ((_let_54 (= _let_38 _let_53))) (let ((_let_55 (_let_1))) (let ((_let_56 (ASSUME :args _let_55))) (let ((_let_57 (and _let_42 _let_40 _let_53))) (let ((_let_58 (tptp.l1_lattices SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_59 (not _let_58))) (let ((_let_60 (or _let_59 _let_57))) (let ((_let_61 (forall ((A $$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))) (or (not (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))))))))) (let ((_let_62 (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_63 (tptp.l2_lattices SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_64 (and _let_58 _let_63))) (let ((_let_65 (tptp.l3_lattices SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_66 (not _let_65))) (let ((_let_67 (or _let_66 _let_64))) (let ((_let_68 (forall ((A $$unsorted)) (or (not (tptp.l3_lattices A)) (and (tptp.l1_lattices A) (tptp.l2_lattices A)))))) (let ((_let_69 (EQ_RESOLVE (ASSUME :args (_let_9)) (MACRO_SR_EQ_INTRO :args (_let_9 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_70 (_let_68))) (let ((_let_71 ((not (= (tptp.l3_lattices A) false))))) (let ((_let_72 (tptp.m1_filter_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_73 (tptp.m1_filter_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_74 (not _let_73))) (let ((_let_75 (tptp.l3_lattices SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_76 (not _let_75))) (let ((_let_77 (tptp.v10_lattices SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_78 (not _let_77))) (let ((_let_79 (tptp.v3_struct_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_80 (tptp.v10_lattices SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_81 (not _let_80))) (let ((_let_82 (tptp.v3_struct_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_83 (or _let_82 _let_81 _let_66 _let_79 _let_78 _let_76 _let_36 _let_74 _let_72))) (let ((_let_84 (forall ((A $$unsorted) (BOUND_VARIABLE_1598 $$unsorted) (BOUND_VARIABLE_1596 $$unsorted)) (or (tptp.v3_struct_0 A) (not (tptp.v10_lattices A)) (not (tptp.l3_lattices A)) (tptp.v3_struct_0 BOUND_VARIABLE_1596) (not (tptp.v10_lattices BOUND_VARIABLE_1596)) (not (tptp.l3_lattices BOUND_VARIABLE_1596)) (not (= (tptp.g3_lattices (tptp.u1_struct_0 A) (tptp.u2_lattices A) (tptp.u1_lattices A)) (tptp.g3_lattices (tptp.u1_struct_0 BOUND_VARIABLE_1596) (tptp.u2_lattices BOUND_VARIABLE_1596) (tptp.u1_lattices BOUND_VARIABLE_1596)))) (not (tptp.m1_filter_2 BOUND_VARIABLE_1598 A)) (tptp.m1_filter_2 BOUND_VARIABLE_1598 BOUND_VARIABLE_1596))))) (let ((_let_85 (not _let_83))) (let ((_let_86 (EQ_RESOLVE (ASSUME :args (_let_14)) (MACRO_SR_EQ_INTRO :args (_let_14 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_87 (or))) (let ((_let_88 (not _let_84))) (let ((_let_89 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_86) :args (_let_88))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_88) _let_84))) (REFL :args (_let_85)) :args _let_87)) _let_86 :args (_let_85 true _let_84)))) (let ((_let_90 (REFL :args (_let_83)))) (let ((_let_91 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_83 2)) (CONG _let_90 (MACRO_SR_PRED_INTRO :args ((= (not _let_66) _let_65))) :args _let_87)) :args ((or _let_65 _let_83))) _let_89 :args (_let_65 true _let_83)))) (let ((_let_92 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_67)) :args ((or _let_66 _let_64 (not _let_67)))) _let_91 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_69 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_71)) :args _let_70)) _let_69 :args (_let_67 false _let_68)) :args (_let_64 false _let_65 false _let_67)))) (let ((_let_93 (not _let_64))) (let ((_let_94 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_64 0)) :args ((or _let_58 _let_93))) _let_92 :args (_let_58 false _let_64)))) (let ((_let_95 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_60)) :args ((or _let_59 _let_57 (not _let_60)))) _let_94 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_62 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.u1_lattices A)))) :args (_let_61))) _let_62 :args (_let_60 false _let_61)) :args (_let_57 false _let_58 false _let_60)))) (let ((_let_96 (not _let_57))) (let ((_let_97 (tptp.m2_relset_1 _let_33 _let_37 _let_16))) (let ((_let_98 (= _let_44 _let_97))) (let ((_let_99 (and _let_48 _let_46 _let_97))) (let ((_let_100 (not _let_63))) (let ((_let_101 (or _let_100 _let_99))) (let ((_let_102 (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))) (or (not (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))))))))) (let ((_let_103 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_104 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_101)) :args ((or _let_100 _let_99 (not _let_101)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_64 1)) :args ((or _let_63 _let_93))) _let_92 :args (_let_63 false _let_64)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_103 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.u2_lattices A)))) :args (_let_102))) _let_103 :args (_let_101 false _let_102)) :args (_let_99 false _let_63 false _let_101)))) (let ((_let_105 (not _let_99))) (let ((_let_106 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_50)) :args ((or _let_36 _let_49 _let_47 _let_45 _let_43 _let_41 _let_39 _let_34 (not _let_50)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_83 6)) (CONG _let_90 (MACRO_SR_PRED_INTRO :args ((= (not _let_36) _let_35))) :args _let_87)) :args ((or _let_35 _let_83))) _let_89 :args (_let_35 true _let_83)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_99 0)) :args ((or _let_48 _let_105))) _let_104 :args (_let_48 false _let_99)) (MACRO_RESOLUTION_TRUST (REORDERING 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_let_54)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_57 2)) :args ((or _let_53 _let_96))) _let_95 :args (_let_53 false _let_57)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_56 :args (_let_37 _let_16 _let_19 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_55))) _let_56 :args (_let_54 false _let_1)) :args (_let_38 false _let_53 false _let_54)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_52 :args (_let_16 _let_33 _let_19 _let_18 _let_32 _let_15 QUANTIFIERS_INST_CBQI_PROP)) :args (_let_51))) _let_52 :args (_let_50 false _let_51)) :args (_let_34 false _let_35 false _let_48 false _let_46 false _let_44 false _let_42 false _let_40 false _let_38 false _let_50)))) (let ((_let_107 (not _let_34))) (let ((_let_108 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_34 0)) :args ((or _let_17 _let_107))) _let_106 :args (_let_17 false _let_34)))) (let ((_let_109 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_34 2)) :args ((or _let_20 _let_107))) _let_106 :args (_let_20 false _let_34)))) (let ((_let_110 (tptp.m1_subset_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_55 _let_15))) (let ((_let_111 (not _let_110))) (let ((_let_112 (tptp.m1_subset_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_54 _let_15))) (let ((_let_113 (not _let_112))) (let ((_let_114 (tptp.l1_lattices SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_115 (not _let_114))) (let ((_let_116 (tptp.v6_lattices SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_117 (not _let_116))) (let ((_let_118 (or _let_79 _let_117 _let_115 _let_113 _let_111 _let_23))) (let ((_let_119 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (or (tptp.v3_struct_0 A) (not (tptp.v6_lattices A)) (not (tptp.l1_lattices A)) (not (tptp.m1_subset_1 B _let_1)) (not (tptp.m1_subset_1 C _let_1)) (= (tptp.k4_lattices A B C) (tptp.k2_lattices A B C))))))) (let ((_let_120 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_121 (_let_119))) (let ((_let_122 ((tptp.k4_lattices A B C)))) (let ((_let_123 (and (tptp.r2_hidden SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_54 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3) (tptp.r2_hidden SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_55 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)))) (let ((_let_124 (= _let_123 _let_30))) (let ((_let_125 (or _let_113 _let_111 _let_124))) (let ((_let_126 (forall ((C $$unsorted) (BOUND_VARIABLE_1707 $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (or (not (tptp.m1_subset_1 C _let_1)) (not (tptp.m1_subset_1 BOUND_VARIABLE_1707 _let_1)) (= (and (tptp.r2_hidden C SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3) (tptp.r2_hidden BOUND_VARIABLE_1707 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)) (tptp.r2_hidden (tptp.k4_lattices SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 C BOUND_VARIABLE_1707) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))))))) (let ((_let_127 (not _let_125))) (let ((_let_128 (tptp.m1_filter_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_129 (= _let_128 _let_126))) (let ((_let_130 (not _let_126))) (let ((_let_131 (tptp.m1_subset_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 (tptp.k1_zfmisc_1 _let_15)))) (let ((_let_132 (not _let_131))) (let ((_let_133 (tptp.v1_xboole_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_134 (or _let_79 _let_78 _let_76 _let_133 _let_132 _let_129))) (let ((_let_135 (forall ((A $$unsorted) (BOUND_VARIABLE_1738 $$unsorted)) (or (tptp.v3_struct_0 A) (not (tptp.v10_lattices A)) (not (tptp.l3_lattices A)) (tptp.v1_xboole_0 BOUND_VARIABLE_1738) (not (tptp.m1_subset_1 BOUND_VARIABLE_1738 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (= (tptp.m1_filter_0 BOUND_VARIABLE_1738 A) (forall ((C $$unsorted) (BOUND_VARIABLE_1707 $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (or (not (tptp.m1_subset_1 C _let_1)) (not (tptp.m1_subset_1 BOUND_VARIABLE_1707 _let_1)) (= (and (tptp.r2_hidden C BOUND_VARIABLE_1738) (tptp.r2_hidden BOUND_VARIABLE_1707 BOUND_VARIABLE_1738)) (tptp.r2_hidden (tptp.k4_lattices A C BOUND_VARIABLE_1707) BOUND_VARIABLE_1738)))))))))) (let ((_let_136 (EQ_RESOLVE (ASSUME :args (_let_11)) (MACRO_SR_EQ_INTRO :args (_let_11 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_137 (_let_135))) (let ((_let_138 ((tptp.m1_filter_0 BOUND_VARIABLE_1738 A)))) (let ((_let_139 (tptp.m1_subset_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 (tptp.k1_zfmisc_1 _let_16)))) (let ((_let_140 (tptp.m2_lattice4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_141 (not _let_140))) (let ((_let_142 (or _let_82 _let_81 _let_66 _let_141 _let_139))) (let ((_let_143 (forall ((A $$unsorted) (BOUND_VARIABLE_1918 $$unsorted)) (or (tptp.v3_struct_0 A) (not (tptp.v10_lattices A)) (not (tptp.l3_lattices A)) (not (tptp.m2_lattice4 BOUND_VARIABLE_1918 A)) (tptp.m1_subset_1 BOUND_VARIABLE_1918 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))))))) (let ((_let_144 (EQ_RESOLVE (ASSUME :args (_let_7)) (MACRO_SR_EQ_INTRO :args (_let_7 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_145 (not _let_133))) (let ((_let_146 (and _let_145 _let_140))) (let ((_let_147 (or _let_82 _let_81 _let_66 _let_74 _let_146))) (let ((_let_148 (forall ((A $$unsorted) (BOUND_VARIABLE_1892 $$unsorted)) (or (tptp.v3_struct_0 A) (not (tptp.v10_lattices A)) (not (tptp.l3_lattices A)) (not (tptp.m1_filter_2 BOUND_VARIABLE_1892 A)) (and (not (tptp.v1_xboole_0 BOUND_VARIABLE_1892)) (tptp.m2_lattice4 BOUND_VARIABLE_1892 A)))))) (let ((_let_149 (EQ_RESOLVE (ASSUME :args (_let_8)) (MACRO_SR_EQ_INTRO :args (_let_8 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_150 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_83 7)) (CONG _let_90 (MACRO_SR_PRED_INTRO :args ((= (not _let_74) _let_73))) :args _let_87)) :args ((or _let_73 _let_83))) _let_89 :args (_let_73 true _let_83)))) (let ((_let_151 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_83 1)) (CONG _let_90 (MACRO_SR_PRED_INTRO :args ((= (not _let_81) _let_80))) :args _let_87)) :args ((or _let_80 _let_83))) _let_89 :args (_let_80 true _let_83)))) (let ((_let_152 (not _let_82))) (let ((_let_153 (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_83 0)) _let_89 :args (_let_152 true _let_83)))) (let ((_let_154 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_147)) :args ((or _let_82 _let_81 _let_66 _let_74 _let_146 (not _let_147)))) _let_153 _let_151 _let_91 _let_150 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_149 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.m1_filter_2 BOUND_VARIABLE_1892 A) false))))) :args (_let_148))) _let_149 :args (_let_147 false _let_148)) :args (_let_146 true _let_82 false _let_80 false _let_65 false _let_73 false _let_147)))) (let ((_let_155 (not _let_146))) (let ((_let_156 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_142)) :args ((or _let_82 _let_81 _let_66 _let_141 _let_139 (not _let_142)))) _let_153 _let_151 _let_91 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_146 1)) :args ((or _let_140 _let_155))) _let_154 :args (_let_140 false _let_146)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_144 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.m2_lattice4 BOUND_VARIABLE_1918 A) false))))) :args (_let_143))) _let_144 :args (_let_142 false _let_143)) :args (_let_139 true _let_82 false _let_80 false _let_65 false _let_140 false _let_142)))) (let ((_let_157 (and _let_17 _let_139))) (let ((_let_158 (ASSUME :args (_let_139)))) (let ((_let_159 (APPLY_UF tptp.m1_subset_1))) (let ((_let_160 (ASSUME :args (_let_17)))) (let ((_let_161 (SYMM (SYMM _let_160)))) (let ((_let_162 (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)))) (let ((_let_163 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_146 0)) :args ((or _let_145 _let_155))) _let_154 :args (_let_145 false _let_146)))) (let ((_let_164 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_83 5)) (CONG _let_90 (MACRO_SR_PRED_INTRO :args ((= (not _let_76) _let_75))) :args _let_87)) :args ((or _let_75 _let_83))) _let_89 :args (_let_75 true _let_83)))) (let ((_let_165 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_83 4)) (CONG _let_90 (MACRO_SR_PRED_INTRO :args ((= (not _let_78) _let_77))) :args _let_87)) :args ((or _let_77 _let_83))) _let_89 :args (_let_77 true _let_83)))) (let ((_let_166 (not _let_79))) (let ((_let_167 (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_83 3)) _let_89 :args (_let_166 true _let_83)))) (let ((_let_168 (= _let_72 _let_128))) (let ((_let_169 (not _let_128))) (let ((_let_170 (or _let_79 _let_78 _let_76 _let_168))) (let ((_let_171 (forall ((A $$unsorted) (BOUND_VARIABLE_2286 $$unsorted)) (or (tptp.v3_struct_0 A) (not (tptp.v10_lattices A)) (not (tptp.l3_lattices A)) (= (tptp.m1_filter_2 BOUND_VARIABLE_2286 A) (tptp.m1_filter_0 BOUND_VARIABLE_2286 A)))))) (let ((_let_172 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_173 (_let_171))) (let ((_let_174 ((tptp.m1_filter_2 BOUND_VARIABLE_2286 A)))) (let ((_let_175 (_let_130))) (let ((_let_176 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_175)) :args _let_175)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_130) _let_126))) (REFL :args (_let_127)) :args _let_87)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_129)) :args ((or _let_128 _let_130 (not _let_129)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_168)) :args ((or _let_72 _let_169 (not _let_168)))) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_83 8)) _let_89 :args ((not _let_72) true _let_83)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_170)) :args ((or _let_79 _let_78 _let_76 _let_168 (not _let_170)))) _let_167 _let_165 _let_164 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_172 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_174)) :args _let_173)) _let_172 :args (_let_170 false _let_171)) :args (_let_168 true _let_79 false _let_77 false _let_75 false _let_170)) :args (_let_169 true _let_72 false _let_168)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_134)) :args ((or _let_79 _let_78 _let_76 _let_133 _let_132 _let_129 (not _let_134)))) _let_167 _let_165 _let_164 _let_163 (MACRO_RESOLUTION_TRUST (RESOLUTION (CNF_AND_NEG :args (_let_157)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_158 _let_160) (SCOPE (TRUE_ELIM (TRANS (CONG _let_162 (CONG (SYMM _let_161) :args (APPLY_UF tptp.k1_zfmisc_1)) :args _let_159) (TRUE_INTRO _let_158))) :args (_let_139 _let_17))) :args (_let_17 _let_139))) :args (true _let_157)) _let_108 _let_156 :args (_let_131 false _let_17 false _let_139)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_136 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_138)) :args _let_137)) _let_136 :args (_let_134 false _let_135)) :args (_let_129 true _let_79 false _let_77 false _let_75 true _let_133 false _let_131 false _let_134)) :args (_let_130 true _let_128 false _let_129)) :args (_let_127 true _let_126)))) (let ((_let_177 (REFL :args (_let_125)))) (let ((_let_178 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_125 1)) (CONG _let_177 (MACRO_SR_PRED_INTRO :args ((= (not _let_111) _let_110))) :args _let_87)) :args ((or _let_110 _let_125))) _let_176 :args (_let_110 true _let_125)))) (let ((_let_179 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_125 0)) (CONG _let_177 (MACRO_SR_PRED_INTRO :args ((= (not _let_113) _let_112))) :args _let_87)) :args ((or _let_112 _let_125))) _let_176 :args (_let_112 true _let_125)))) (let ((_let_180 (and _let_166 (tptp.v4_lattices SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4) (tptp.v5_lattices SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4) _let_116 (tptp.v7_lattices SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4) (tptp.v8_lattices SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4) (tptp.v9_lattices SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4)))) (let ((_let_181 (or _let_76 _let_79 _let_78 _let_180))) (let ((_let_182 (forall ((A $$unsorted)) (let ((_let_1 (tptp.v3_struct_0 A))) (or (not (tptp.l3_lattices A)) _let_1 (not (tptp.v10_lattices A)) (and (not _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))))))) (let ((_let_183 (EQ_RESOLVE (ASSUME :args (_let_13)) (MACRO_SR_EQ_INTRO :args (_let_13 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_184 (_let_182))) (let ((_let_185 ((not (= (tptp.l3_lattices A) false))))) (let ((_let_186 (and _let_114 (tptp.l2_lattices SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4)))) (let ((_let_187 (or _let_76 _let_186))) (let ((_let_188 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_186 0)) :args ((or _let_114 (not _let_186)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_187)) :args ((or _let_76 _let_186 (not _let_187)))) _let_164 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_69 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_71)) :args _let_70)) _let_69 :args (_let_187 false _let_68)) :args (_let_186 false _let_75 false _let_187)) :args (_let_114 false _let_186)))) (let ((_let_189 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_118)) :args ((or _let_79 _let_115 _let_117 _let_113 _let_111 _let_23 (not _let_118)))) _let_167 _let_188 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_180 3)) :args ((or _let_116 (not _let_180)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_181)) :args ((or _let_79 _let_78 _let_76 _let_180 (not _let_181)))) _let_167 _let_165 _let_164 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_183 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_185)) :args _let_184)) _let_183 :args (_let_181 false _let_182)) :args (_let_180 true _let_79 false _let_77 false _let_75 false _let_181)) :args (_let_116 false _let_180)) _let_179 _let_178 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_120 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_54 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_55 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_122)) :args _let_121)) _let_120 :args (_let_118 false _let_119)) :args (_let_23 true _let_79 false _let_114 false _let_116 false _let_112 false _let_110 false _let_118)))) (let ((_let_190 (tptp.m1_subset_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_55 _let_16))) (let ((_let_191 (not _let_190))) (let ((_let_192 (tptp.m1_subset_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_54 _let_16))) (let ((_let_193 (not _let_192))) (let ((_let_194 (tptp.v6_lattices SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_195 (not _let_194))) (let ((_let_196 (or _let_82 _let_195 _let_59 _let_193 _let_191 _let_25))) (let ((_let_197 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (or (tptp.v3_struct_0 A) (not (tptp.v6_lattices A)) (not (tptp.l1_lattices A)) (not (tptp.m1_subset_1 B _let_1)) (not (tptp.m1_subset_1 C _let_1)) (= (tptp.k4_lattices A B C) (tptp.k4_lattices A C B))))))) (let ((_let_198 (EQ_RESOLVE (ASSUME :args (_let_12)) (MACRO_SR_EQ_INTRO :args (_let_12 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_199 (tptp.u1_struct_0 A))) (let ((_let_200 (and _let_17 _let_110))) (let ((_let_201 (ASSUME :args (_let_110)))) (let ((_let_202 (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_55)))) (let ((_let_203 (MACRO_RESOLUTION_TRUST (RESOLUTION (CNF_AND_NEG :args (_let_200)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_201 _let_160) (SCOPE (TRUE_ELIM (TRANS (CONG _let_202 _let_161 :args _let_159) (TRUE_INTRO _let_201))) :args (_let_110 _let_17))) :args (_let_17 _let_110))) :args (true _let_200)) _let_108 _let_178 :args (_let_190 false _let_17 false _let_110)))) (let ((_let_204 (and _let_17 _let_112))) (let ((_let_205 (ASSUME :args (_let_112)))) (let ((_let_206 (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_54)))) (let ((_let_207 (MACRO_RESOLUTION_TRUST (RESOLUTION (CNF_AND_NEG :args (_let_204)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_205 _let_160) (SCOPE (TRUE_ELIM (TRANS (CONG _let_206 _let_161 :args _let_159) (TRUE_INTRO _let_205))) :args (_let_112 _let_17))) :args (_let_17 _let_112))) :args (true _let_204)) _let_108 _let_179 :args (_let_192 false _let_17 false _let_112)))) (let ((_let_208 (and _let_152 (tptp.v4_lattices SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2) (tptp.v5_lattices SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2) _let_194 (tptp.v7_lattices SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2) (tptp.v8_lattices SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2) (tptp.v9_lattices SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))) (let ((_let_209 (or _let_66 _let_82 _let_81 _let_208))) (let ((_let_210 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_208 3)) :args ((or _let_194 (not _let_208)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_209)) :args ((or _let_82 _let_81 _let_66 _let_208 (not _let_209)))) _let_153 _let_151 _let_91 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_183 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_185)) :args _let_184)) _let_183 :args (_let_209 false _let_182)) :args (_let_208 true _let_82 false _let_80 false _let_65 false _let_209)) :args (_let_194 false _let_208)))) (let ((_let_211 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_196)) :args ((or _let_82 _let_59 _let_195 _let_193 _let_191 _let_25 (not _let_196)))) _let_153 _let_94 _let_210 _let_207 _let_203 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_198 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_54 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_55 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.m1_subset_1 B _let_199) false)) (not (= (tptp.m1_subset_1 C _let_199) false))))) :args (_let_197))) _let_198 :args (_let_196 false _let_197)) :args (_let_25 true _let_82 false _let_58 false _let_194 false _let_192 false _let_190 false _let_196)))) (let ((_let_212 (or _let_79 _let_115 _let_113 _let_111 _let_26))) (let ((_let_213 (forall ((A $$unsorted) (BOUND_VARIABLE_1789 $$unsorted) (BOUND_VARIABLE_1787 $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (or (tptp.v3_struct_0 A) (not (tptp.l1_lattices A)) (not (tptp.m1_subset_1 BOUND_VARIABLE_1787 _let_1)) (not (tptp.m1_subset_1 BOUND_VARIABLE_1789 _let_1)) (= (tptp.k2_lattices A BOUND_VARIABLE_1787 BOUND_VARIABLE_1789) (tptp.k2_binop_1 _let_1 _let_1 _let_1 (tptp.u1_lattices A) BOUND_VARIABLE_1787 BOUND_VARIABLE_1789))))))) (let ((_let_214 (EQ_RESOLVE (ASSUME :args (_let_10)) (MACRO_SR_EQ_INTRO :args (_let_10 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_215 (_let_213))) (let ((_let_216 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_212)) :args ((or _let_79 _let_115 _let_113 _let_111 _let_26 (not _let_212)))) _let_167 _let_188 _let_179 _let_178 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_214 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_55 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_54 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.k2_lattices A BOUND_VARIABLE_1787 BOUND_VARIABLE_1789)))) :args _let_215)) _let_214 :args (_let_212 false _let_213)) :args (_let_26 true _let_79 false _let_114 false _let_112 false _let_110 false _let_212)))) (let ((_let_217 (or _let_82 _let_59 _let_193 _let_191 _let_28))) (let ((_let_218 (tptp.u1_struct_0 A))) (let ((_let_219 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_217)) :args ((or _let_82 _let_59 _let_193 _let_191 _let_28 (not _let_217)))) _let_153 _let_94 _let_207 _let_203 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_214 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_55 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_54 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.m1_subset_1 BOUND_VARIABLE_1787 _let_218) false)) (not (= (tptp.m1_subset_1 BOUND_VARIABLE_1789 _let_218) false))))) :args _let_215)) _let_214 :args (_let_217 false _let_213)) :args (_let_28 true _let_82 false _let_58 false _let_192 false _let_190 false _let_217)))) (let ((_let_220 (or _let_82 _let_195 _let_59 _let_193 _let_191 _let_29))) (let ((_let_221 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_220)) :args ((or _let_82 _let_59 _let_195 _let_193 _let_191 _let_29 (not _let_220)))) _let_153 _let_94 _let_210 _let_207 _let_203 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_120 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_54 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_55 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_122)) :args _let_121)) _let_120 :args (_let_220 false _let_119)) :args (_let_29 true _let_82 false _let_58 false _let_194 false _let_192 false _let_190 false _let_220)))) (let ((_let_222 (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_125 2)) _let_176 :args ((not _let_124) true _let_125)))) (let ((_let_223 (= _let_123 _let_31))) (let ((_let_224 (not _let_123))) (let ((_let_225 (_let_124))) (let ((_let_226 (or _let_193 _let_191 _let_223))) (let ((_let_227 (forall ((C $$unsorted) (BOUND_VARIABLE_1707 $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (or (not (tptp.m1_subset_1 C _let_1)) (not (tptp.m1_subset_1 BOUND_VARIABLE_1707 _let_1)) (= (and (tptp.r2_hidden C SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3) (tptp.r2_hidden BOUND_VARIABLE_1707 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)) (tptp.r2_hidden (tptp.k4_lattices SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 C BOUND_VARIABLE_1707) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))))))) (let ((_let_228 (tptp.m1_filter_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_229 (= _let_228 _let_227))) (let ((_let_230 (not _let_139))) (let ((_let_231 (or _let_82 _let_81 _let_66 _let_133 _let_230 _let_229))) (let ((_let_232 (= _let_73 _let_228))) (let ((_let_233 (or _let_82 _let_81 _let_66 _let_232))) (let ((_let_234 (_let_227))) (let ((_let_235 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_226)) :args ((or _let_193 _let_191 _let_223 (not _let_226)))) _let_207 _let_203 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_234) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_54 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_55 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.k4_lattices SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 C BOUND_VARIABLE_1707)))) :args _let_234)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_229)) :args ((or (not _let_228) _let_227 (not _let_229)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_232)) :args ((or _let_74 _let_228 (not _let_232)))) _let_150 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_233)) :args ((or _let_82 _let_81 _let_66 _let_232 (not _let_233)))) _let_153 _let_151 _let_91 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_172 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_174)) :args _let_173)) _let_172 :args (_let_233 false _let_171)) :args (_let_232 true _let_82 false _let_80 false _let_65 false _let_233)) :args (_let_228 false _let_73 false _let_232)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_231)) :args ((or _let_82 _let_81 _let_66 _let_133 _let_230 _let_229 (not _let_231)))) _let_153 _let_151 _let_91 _let_163 _let_156 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_136 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_138)) :args _let_137)) _let_136 :args (_let_231 false _let_135)) :args (_let_229 true _let_82 false _let_80 false _let_65 true _let_133 false _let_139 false _let_231)) :args (_let_227 false _let_228 false _let_229)) :args (_let_226 false _let_227)) :args (_let_223 false _let_192 false _let_190 false _let_226)))) (let ((_let_236 (not _let_223))) (let ((_let_237 (_let_223))) (let ((_let_238 (not _let_31))) (let ((_let_239 (not _let_29))) (let ((_let_240 (not _let_28))) (let ((_let_241 (not _let_26))) (let ((_let_242 (not _let_23))) (let ((_let_243 (not _let_25))) (let ((_let_244 (not _let_30))) (let ((_let_245 (not _let_20))) (let ((_let_246 (not _let_17))) (let ((_let_247 (and _let_17 _let_20 _let_244 _let_25 _let_23 _let_26 _let_28 _let_29))) (let ((_let_248 (ASSUME :args (_let_244)))) (let ((_let_249 (APPLY_UF tptp.r2_hidden))) (let ((_let_250 (ASSUME :args (_let_23)))) (let ((_let_251 (ASSUME :args (_let_26)))) (let ((_let_252 (ASSUME :args (_let_20)))) (let ((_let_253 (ASSUME :args (_let_28)))) (let ((_let_254 (ASSUME :args (_let_29)))) (let ((_let_255 (ASSUME :args (_let_25)))) (let ((_let_256 (CONG (TRANS (SYMM _let_255) (TRANS (SYMM (SYMM _let_254)) (SYMM (SYMM _let_253)) (CONG _let_161 _let_161 _let_161 (SYMM (SYMM _let_252)) _let_206 _let_202 :args (APPLY_UF tptp.k2_binop_1)) (SYMM _let_251) (SYMM _let_250))) _let_162 :args _let_249))) (let ((_let_257 (CONG _let_255 _let_162 :args _let_249))) (let ((_let_258 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_247)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_248 _let_250 _let_251 _let_160 _let_252 _let_253 _let_254 _let_255) (SCOPE (FALSE_ELIM (TRANS _let_257 _let_256 (FALSE_INTRO _let_248))) :args (_let_244 _let_23 _let_26 _let_17 _let_20 _let_28 _let_29 _let_25))) :args (_let_17 _let_20 _let_244 _let_25 _let_23 _let_26 _let_28 _let_29))) :args (true _let_247)) (CONG (REFL :args (_let_246)) (REFL :args (_let_245)) (MACRO_SR_PRED_INTRO :args ((= (not _let_244) _let_30))) (REFL :args (_let_243)) (REFL :args (_let_242)) (REFL :args (_let_241)) (REFL :args (_let_240)) (REFL :args (_let_239)) (REFL :args (_let_238)) :args _let_87)) _let_221 _let_219 _let_216 _let_211 _let_189 _let_109 _let_108 (REORDERING (CNF_EQUIV_POS1 :args _let_237) :args ((or _let_224 _let_31 _let_236))) _let_235 (CNF_EQUIV_NEG2 :args _let_225) _let_222 :args (_let_224 false _let_29 false _let_28 false _let_26 false _let_25 false _let_23 false _let_20 false _let_17 false _let_31 false _let_223 true _let_30 true _let_124)))) (let ((_let_259 (and _let_17 _let_20 _let_30 _let_25 _let_23 _let_26 _let_28 _let_29))) (let ((_let_260 (ASSUME :args (_let_30)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_259)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_260 _let_250 _let_251 _let_160 _let_252 _let_253 _let_254 _let_255) (SCOPE (TRUE_ELIM (TRANS _let_257 _let_256 (TRUE_INTRO _let_260))) :args (_let_30 _let_23 _let_26 _let_17 _let_20 _let_28 _let_29 _let_25))) :args (_let_17 _let_20 _let_30 _let_25 _let_23 _let_26 _let_28 _let_29))) :args (true _let_259)) :args ((or _let_246 _let_245 _let_244 _let_243 _let_242 _let_31 _let_241 _let_240 _let_239))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args _let_237) :args ((or _let_123 _let_238 _let_236))) _let_258 _let_235 :args (_let_238 true _let_123 false _let_223)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_NEG1 :args _let_225) :args ((or _let_123 _let_30 _let_124))) _let_258 _let_222 :args (_let_30 true _let_123 true _let_124)) _let_221 _let_219 _let_216 _let_211 _let_189 _let_109 _let_108 :args (false true _let_31 false _let_30 false _let_29 false _let_28 false _let_26 false _let_25 false _let_23 false _let_20 false _let_17)) :args (_let_14 (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)) (=> (tptp.r2_hidden A B) (not (tptp.r2_hidden B A)))) (forall ((A $$unsorted)) (=> (tptp.v1_xboole_0 A) (tptp.v1_funct_1 A))) _let_13 (forall ((A $$unsorted)) (=> (not (tptp.v1_realset1 A)) (not (tptp.v1_xboole_0 A)))) (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)) (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)))))) (forall ((A $$unsorted)) (let ((_let_1 (not (tptp.v3_struct_0 A)))) (=> (tptp.l3_lattices A) (=> (and _let_1 (tptp.v4_lattices A) (tptp.v5_lattices A) (tptp.v6_lattices A) (tptp.v7_lattices A) (tptp.v8_lattices A) (tptp.v9_lattices A)) (and _let_1 (tptp.v10_lattices A)))))) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.k2_tarski A B) (tptp.k2_tarski B A))) _let_12 (forall ((A $$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)))))) _let_11 _let_10 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.k4_tarski A B) (tptp.k2_tarski (tptp.k2_tarski A B) (tptp.k1_tarski A)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.g3_lattices A B C))) (let ((_let_2 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_2 A) (tptp.m1_relset_1 B _let_2 A) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 A) (tptp.m1_relset_1 C _let_2 A)) (and (tptp.v3_lattices _let_1) (tptp.l3_lattices _let_1)))))) true true true true true (forall ((A $$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)) (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)))) true true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v6_lattices A) (tptp.l1_lattices A) (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (tptp.m1_subset_1 (tptp.k4_lattices A B C) _let_1)))) true (forall ((A $$unsorted)) (=> (tptp.l1_lattices A) (tptp.l1_struct_0 A))) true (forall ((A $$unsorted)) (=> (tptp.l2_lattices A) (tptp.l1_struct_0 A))) _let_9 (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_filter_0 B A) (and (not (tptp.v1_xboole_0 B)) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))))))) _let_8 true true _let_7 (forall ((A $$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))))) _let_6 true _let_5 (exists ((A $$unsorted)) (tptp.l1_lattices A)) (exists ((A $$unsorted)) (tptp.l1_struct_0 A)) (exists ((A $$unsorted)) (tptp.l2_lattices A)) (exists ((A $$unsorted)) (tptp.l3_lattices 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 $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (exists ((B $$unsorted)) (tptp.m1_filter_2 B A)))) (forall ((A $$unsorted) (B $$unsorted)) (exists ((C $$unsorted)) (tptp.m1_relset_1 C A B))) (forall ((A $$unsorted)) (exists ((B $$unsorted)) (tptp.m1_subset_1 B A))) (forall ((A $$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) (B $$unsorted)) (exists ((C $$unsorted)) (tptp.m2_relset_1 C A B))) (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)) (not (tptp.v1_xboole_0 (tptp.k1_zfmisc_1 A)))) (tptp.v1_xboole_0 tptp.k1_xboole_0) (forall ((A $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.k2_zfmisc_1 _let_1 _let_1))) (let ((_let_3 (tptp.u2_lattices A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_lattices A) (tptp.l2_lattices A)) (and (tptp.v1_relat_1 _let_3) (tptp.v1_funct_1 _let_3) (tptp.v1_funct_2 _let_3 _let_2 _let_1) (tptp.v1_binop_1 _let_3 _let_1) (tptp.v1_partfun1 _let_3 _let_2 _let_1))))))) (forall ((A $$unsorted)) (not (tptp.v1_xboole_0 (tptp.k1_tarski A)))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.k2_zfmisc_1 _let_1 _let_1))) (let ((_let_3 (tptp.u2_lattices A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v5_lattices A) (tptp.l2_lattices A)) (and (tptp.v1_relat_1 _let_3) (tptp.v1_funct_1 _let_3) (tptp.v1_funct_2 _let_3 _let_2 _let_1) (tptp.v2_binop_1 _let_3 _let_1) (tptp.v1_partfun1 _let_3 _let_2 _let_1))))))) (forall ((A $$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)))))) (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 $$unsorted)) (not (tptp.v1_xboole_0 (tptp.k2_tarski A B)))) (forall ((A $$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))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v6_lattices A) (tptp.l1_lattices A)) (and (tptp.v1_relat_1 _let_3) (tptp.v1_funct_1 _let_3) (tptp.v1_funct_2 _let_3 _let_2 _let_1) (tptp.v1_binop_1 _let_3 _let_1) (tptp.v1_partfun1 _let_3 _let_2 _let_1))))))) (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 $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.k2_zfmisc_1 _let_1 _let_1))) (let ((_let_3 (tptp.u1_lattices A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v7_lattices A) (tptp.l1_lattices A)) (and (tptp.v1_relat_1 _let_3) (tptp.v1_funct_1 _let_3) (tptp.v1_funct_2 _let_3 _let_2 _let_1) (tptp.v2_binop_1 _let_3 _let_1) (tptp.v1_partfun1 _let_3 _let_2 _let_1))))))) _let_4 (exists ((A $$unsorted)) (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A))) (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)))))) (exists ((A $$unsorted)) (and (not (tptp.v1_xboole_0 A)) (tptp.v1_realset1 A))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (exists ((B $$unsorted)) (and (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (not (tptp.v1_xboole_0 B)))))) (exists ((A $$unsorted)) (tptp.v1_xboole_0 A)) (exists ((A $$unsorted)) (and (tptp.v1_relat_1 A) (tptp.v1_xboole_0 A) (tptp.v1_funct_1 A))) (exists ((A $$unsorted)) (and (not (tptp.v1_xboole_0 A)) (not (tptp.v1_realset1 A)))) (forall ((A $$unsorted)) (exists ((B $$unsorted)) (and (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (tptp.v1_xboole_0 B)))) (exists ((A $$unsorted)) (not (tptp.v1_xboole_0 A))) (exists ((A $$unsorted)) (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v2_funct_1 A))) (exists ((A $$unsorted)) (and (tptp.l3_lattices A) (tptp.v3_lattices A))) (exists ((A $$unsorted)) (and (tptp.l1_struct_0 A) (not (tptp.v3_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)))))) (exists ((A $$unsorted)) (and (tptp.l3_lattices A) (not (tptp.v3_struct_0 A)) (tptp.v3_lattices A))) (exists ((A $$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))) (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))))) _let_3 _let_2 _let_1 (forall ((A $$unsorted) (B $$unsorted)) (tptp.r1_tarski A A)) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.r2_hidden A B) (tptp.m1_subset_1 A B))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 A B) (or (tptp.v1_xboole_0 B) (tptp.r2_hidden A B)))) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.m1_subset_1 A (tptp.k1_zfmisc_1 B)) (tptp.r1_tarski A B))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.r2_hidden A B) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 C))) (tptp.m1_subset_1 A C))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (not (and (tptp.r2_hidden A B) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 C)) (tptp.v1_xboole_0 C)))) (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)))) true)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 27.41/27.71  )
% 27.41/27.71  % SZS output end Proof for LAT298+1
% 27.41/27.71  % cvc5---1.0.5 exiting
% 27.41/27.71  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------