%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : LAT307+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n009.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 06:03:52 EDT 2023

% Result   : Theorem 36.00s 36.18s
% Output   : Proof 36.00s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : LAT307+1 : TPTP v8.1.2. Released v3.4.0.
% 0.07/0.14  % Command    : do_cvc5 %s %d
% 0.15/0.35  % Computer : n009.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit   : 300
% 0.15/0.35  % WCLimit    : 300
% 0.15/0.35  % DateTime   : Thu Aug 24 04:40:06 EDT 2023
% 0.15/0.36  % CPUTime    : 
% 0.21/0.50  %----Proving TF0_NAR, FOF, or CNF
% 36.00/36.18  ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.DLRdJmQy2k/cvc5---1.0.5_14618.p...
% 36.00/36.18  ------- get file name : TPTP file name is LAT307+1
% 36.00/36.18  ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_14618.smt2...
% 36.00/36.18  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 36.00/36.18  --- Run --no-e-matching --full-saturate-quant at 5...
% 36.00/36.18  --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 5...
% 36.00/36.18  --- Run --finite-model-find --uf-ss=no-minimal at 5...
% 36.00/36.18  --- Run --multi-trigger-when-single --full-saturate-quant at 5...
% 36.00/36.18  --- Run --trigger-sel=max --full-saturate-quant at 5...
% 36.00/36.18  % SZS status Theorem for LAT307+1
% 36.00/36.18  % SZS output start Proof for LAT307+1
% 36.00/36.18  (
% 36.00/36.18  (let ((_let_1 (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (= (tptp.v14_lattices A) (tptp.v13_lattices (tptp.k1_lattice2 A))))))) (let ((_let_2 (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m2_filter_2 B A) (= (tptp.r2_filter_2 A B) (tptp.v1_filter_0 (tptp.k15_filter_2 A B) (tptp.k1_lattice2 A))))))))) (let ((_let_3 (forall ((A $$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)))))))))))))) (let ((_let_4 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.m2_relset_1 C A B) (tptp.m1_relset_1 C A B))))) (let ((_let_5 (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (= (tptp.m1_filter_2 B A) (tptp.m1_filter_0 B A))))))) (let ((_let_6 (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A) (tptp.m2_filter_2 B A)) (= (tptp.k15_filter_2 A B) (tptp.k7_filter_2 A B)))))) (let ((_let_7 (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A) (tptp.m1_filter_0 B (tptp.k1_lattice2 A))) (= (tptp.k14_filter_2 A B) (tptp.k8_filter_2 A B)))))) (let ((_let_8 (forall ((A $$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 $$unsorted)) (=> (= (tptp.g3_lattices A B C) (tptp.g3_lattices D E F)) (and (= A D) (= B E) (= C F))))))))) (let ((_let_9 (forall ((A $$unsorted)) (let ((_let_1 (tptp.k1_lattice2 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (and (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))))))) (let ((_let_10 (forall ((A $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.k2_zfmisc_1 _let_1 _let_1))) (let ((_let_3 (tptp.u1_lattices A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v6_lattices A) (tptp.l1_lattices A)) (and (tptp.v1_relat_1 _let_3) (tptp.v1_funct_1 _let_3) (tptp.v1_funct_2 _let_3 _let_2 _let_1) (tptp.v1_binop_1 _let_3 _let_1) (tptp.v1_partfun1 _let_3 _let_2 _let_1))))))))) (let ((_let_11 (forall ((A $$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))))))))) (let ((_let_12 (forall ((A $$unsorted)) (let ((_let_1 (tptp.k1_lattice2 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l3_lattices A)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v3_lattices _let_1))))))) (let ((_let_13 (forall ((A $$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_14 (forall ((A $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.k2_zfmisc_1 _let_1 _let_1))) (let ((_let_3 (tptp.u1_lattices A))) (=> (tptp.l1_lattices A) (and (tptp.v1_funct_1 _let_3) (tptp.v1_funct_2 _let_3 _let_2 _let_1) (tptp.m2_relset_1 _let_3 _let_2 _let_1))))))))) (let ((_let_15 (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m2_lattice4 B A) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))))))))) (let ((_let_16 (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m2_filter_2 B A) (and (not (tptp.v1_xboole_0 B)) (tptp.m2_lattice4 B A)))))))) (let ((_let_17 (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_filter_0 B A) (and (not (tptp.v1_xboole_0 B)) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))))))))) (let ((_let_18 (forall ((A $$unsorted)) (=> (tptp.l3_lattices A) (and (tptp.l1_lattices A) (tptp.l2_lattices A)))))) (let ((_let_19 (forall ((A $$unsorted)) (let ((_let_1 (tptp.k1_lattice2 A))) (=> (tptp.l3_lattices A) (and (tptp.v3_lattices _let_1) (tptp.l3_lattices _let_1))))))) (let ((_let_20 (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A) (tptp.m2_filter_2 B A)) (tptp.m1_filter_2 (tptp.k15_filter_2 A B) (tptp.k1_lattice2 A)))))) (let ((_let_21 (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A) (tptp.m1_filter_0 B (tptp.k1_lattice2 A))) (tptp.m2_filter_2 (tptp.k14_filter_2 A B) A))))) (let ((_let_22 (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 (tptp.k1_lattice2 A)))) (= (tptp.k8_filter_2 A B) B))))))) (let ((_let_23 (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (tptp.k7_filter_2 A B) B))))))) (let ((_let_24 (forall ((A $$unsorted)) (=> (tptp.l3_lattices A) (= (tptp.k1_lattice2 A) (tptp.g3_lattices (tptp.u1_struct_0 A) (tptp.u1_lattices A) (tptp.u2_lattices A))))))) (let ((_let_25 (forall ((A $$unsorted)) (let ((_let_1 (not (tptp.v3_struct_0 A)))) (=> (tptp.l3_lattices A) (=> (and _let_1 (tptp.v10_lattices A)) (and _let_1 (tptp.v4_lattices A) (tptp.v5_lattices A) (tptp.v6_lattices A) (tptp.v7_lattices A) (tptp.v8_lattices A) (tptp.v9_lattices A)))))))) (let ((_let_26 (forall ((A $$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)))))))) (let ((_let_27 (not (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (=> (tptp.v14_lattices A) (forall ((B $$unsorted)) (=> (tptp.m2_filter_2 B A) (not (and (not (= B (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (=> (tptp.m2_filter_2 C A) (not (and (tptp.r1_tarski B C) (tptp.r2_filter_2 A C))))))))))))))) (let ((_let_28 (tptp.k1_lattice2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_29 (tptp.v1_filter_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_102 _let_28))) (let ((_let_30 (tptp.k7_filter_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_102))) (let ((_let_31 (tptp.k15_filter_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_102))) (let ((_let_32 (= _let_31 _let_30))) (let ((_let_33 (tptp.v1_filter_0 _let_31 _let_28))) (let ((_let_34 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_102 _let_30))) (let ((_let_35 (not _let_29))) (let ((_let_36 (tptp.k15_filter_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_37 (tptp.r1_tarski _let_36 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_102))) (let ((_let_38 (not _let_37))) (let ((_let_39 (tptp.m1_filter_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_102 _let_28))) (let ((_let_40 (not _let_39))) (let ((_let_41 (or _let_40 _let_38 _let_35))) (let ((_let_42 (forall ((C $$unsorted)) (let ((_let_1 (tptp.k1_lattice2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (or (not (tptp.m1_filter_0 C _let_1)) (not (tptp.r1_tarski (tptp.k15_filter_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3) C)) (not (tptp.v1_filter_0 C _let_1))))))) (let ((_let_43 (not _let_41))) (let ((_let_44 (not _let_42))) (let ((_let_45 (tptp.u1_struct_0 _let_28))) (let ((_let_46 (= _let_36 _let_45))) (let ((_let_47 (tptp.m1_filter_0 _let_36 _let_28))) (let ((_let_48 (not _let_47))) (let ((_let_49 (tptp.v13_lattices _let_28))) (let ((_let_50 (not _let_49))) (let ((_let_51 (tptp.l3_lattices _let_28))) (let ((_let_52 (not _let_51))) (let ((_let_53 (tptp.v10_lattices _let_28))) (let ((_let_54 (not _let_53))) (let ((_let_55 (tptp.v3_struct_0 _let_28))) (let ((_let_56 (or _let_55 _let_54 _let_52 _let_50 _let_48 _let_46 _let_44))) (let ((_let_57 (forall ((A $$unsorted) (BOUND_VARIABLE_2418 $$unsorted)) (or (tptp.v3_struct_0 A) (not (tptp.v10_lattices A)) (not (tptp.l3_lattices A)) (not (tptp.v13_lattices A)) (not (tptp.m1_filter_0 BOUND_VARIABLE_2418 A)) (= (tptp.u1_struct_0 A) BOUND_VARIABLE_2418) (not (forall ((C $$unsorted)) (or (not (tptp.m1_filter_0 C A)) (not (tptp.r1_tarski BOUND_VARIABLE_2418 C)) (not (tptp.v1_filter_0 C A))))))))) (let ((_let_58 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_59 (tptp.u1_struct_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_60 (= _let_59 _let_45))) (let ((_let_61 (tptp.k7_filter_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_62 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_61))) (let ((_let_63 (= _let_36 _let_61))) (let ((_let_64 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_59))) (let ((_let_65 (not _let_46))) (let ((_let_66 (tptp.u1_lattices _let_28))) (let ((_let_67 (tptp.u2_lattices SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_68 (tptp.u2_lattices _let_28))) (let ((_let_69 (tptp.u1_lattices SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_70 (and _let_60 (= _let_69 _let_68) (= _let_67 _let_66)))) (let ((_let_71 (tptp.g3_lattices _let_45 _let_68 _let_66))) (let ((_let_72 (tptp.g3_lattices _let_59 _let_69 _let_67))) (let ((_let_73 (= _let_72 _let_71))) (let ((_let_74 (not _let_73))) (let ((_let_75 (tptp.k2_zfmisc_1 _let_59 _let_59))) (let ((_let_76 (tptp.m1_relset_1 _let_67 _let_75 _let_59))) (let ((_let_77 (not _let_76))) (let ((_let_78 (tptp.v1_funct_2 _let_67 _let_75 _let_59))) (let ((_let_79 (not _let_78))) (let ((_let_80 (tptp.v1_funct_1 _let_67))) (let ((_let_81 (not _let_80))) (let ((_let_82 (tptp.m1_relset_1 _let_69 _let_75 _let_59))) (let ((_let_83 (not _let_82))) (let ((_let_84 (tptp.v1_funct_2 _let_69 _let_75 _let_59))) (let ((_let_85 (not _let_84))) (let ((_let_86 (tptp.v1_funct_1 _let_69))) (let ((_let_87 (not _let_86))) (let ((_let_88 (or _let_87 _let_85 _let_83 _let_81 _let_79 _let_77 _let_74 _let_70))) (let ((_let_89 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (BOUND_VARIABLE_2188 $$unsorted) (BOUND_VARIABLE_2186 $$unsorted) (BOUND_VARIABLE_2184 $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A A))) (or (not (tptp.v1_funct_1 B)) (not (tptp.v1_funct_2 B _let_1 A)) (not (tptp.m1_relset_1 B _let_1 A)) (not (tptp.v1_funct_1 C)) (not (tptp.v1_funct_2 C _let_1 A)) (not (tptp.m1_relset_1 C _let_1 A)) (not (= (tptp.g3_lattices A B C) (tptp.g3_lattices BOUND_VARIABLE_2184 BOUND_VARIABLE_2186 BOUND_VARIABLE_2188))) (and (= A BOUND_VARIABLE_2184) (= B BOUND_VARIABLE_2186) (= C BOUND_VARIABLE_2188))))))) (let ((_let_90 (EQ_RESOLVE (ASSUME :args (_let_8)) (MACRO_SR_EQ_INTRO :args (_let_8 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_91 (= _let_28 _let_71))) (let ((_let_92 (= _let_28 _let_72))) (let ((_let_93 (tptp.v3_lattices _let_28))) (let ((_let_94 (not _let_93))) (let ((_let_95 (or _let_52 _let_94 _let_91))) (let ((_let_96 (forall ((A $$unsorted)) (or (not (tptp.l3_lattices A)) (not (tptp.v3_lattices A)) (= A (tptp.g3_lattices (tptp.u1_struct_0 A) (tptp.u2_lattices A) (tptp.u1_lattices A))))))) (let ((_let_97 (EQ_RESOLVE (ASSUME :args (_let_26)) (MACRO_SR_EQ_INTRO :args (_let_26 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_98 (and _let_93 _let_51))) (let ((_let_99 (tptp.l3_lattices SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_100 (not _let_99))) (let ((_let_101 (or _let_100 _let_98))) (let ((_let_102 (forall ((A $$unsorted)) (let ((_let_1 (tptp.k1_lattice2 A))) (or (not (tptp.l3_lattices A)) (and (tptp.v3_lattices _let_1) (tptp.l3_lattices _let_1))))))) (let ((_let_103 (EQ_RESOLVE (ASSUME :args (_let_19)) (MACRO_SR_EQ_INTRO :args (_let_19 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_104 (forall ((C $$unsorted)) (or (not (tptp.m2_filter_2 C SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)) (not (tptp.r1_tarski SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 C)) (not (tptp.r2_filter_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 C)))))) (let ((_let_105 (not _let_104))) (let ((_let_106 (tptp.m2_filter_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_107 (not _let_106))) (let ((_let_108 (tptp.v14_lattices SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_109 (not _let_108))) (let ((_let_110 (tptp.v10_lattices SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_111 (not _let_110))) (let ((_let_112 (tptp.v3_struct_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_113 (or _let_112 _let_111 _let_100 _let_109 _let_107 _let_64 _let_105))) (let ((_let_114 (forall ((A $$unsorted) (BOUND_VARIABLE_1697 $$unsorted)) (or (tptp.v3_struct_0 A) (not (tptp.v10_lattices A)) (not (tptp.l3_lattices A)) (not (tptp.v14_lattices A)) (not (tptp.m2_filter_2 BOUND_VARIABLE_1697 A)) (= (tptp.u1_struct_0 A) BOUND_VARIABLE_1697) (not (forall ((C $$unsorted)) (or (not (tptp.m2_filter_2 C A)) (not (tptp.r1_tarski BOUND_VARIABLE_1697 C)) (not (tptp.r2_filter_2 A C))))))))) (let ((_let_115 (not _let_113))) (let ((_let_116 (EQ_RESOLVE (ASSUME :args (_let_27)) (MACRO_SR_EQ_INTRO :args (_let_27 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_117 (or))) (let ((_let_118 (not _let_114))) (let ((_let_119 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE _let_116) :args (_let_118)) (REWRITE :args ((=> _let_118 (not (or _let_112 _let_111 _let_100 _let_109 _let_107 (= _let_59 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3) _let_105))))))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_118) _let_114))) (REFL :args (_let_115)) :args _let_117)) _let_116 :args (_let_115 true _let_114)))) (let ((_let_120 (REFL :args (_let_113)))) (let ((_let_121 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_113 2)) (CONG _let_120 (MACRO_SR_PRED_INTRO :args ((= (not _let_100) _let_99))) :args _let_117)) :args ((or _let_99 _let_113))) _let_119 :args (_let_99 true _let_113)))) (let ((_let_122 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_98 1)) :args ((or _let_51 (not _let_98)))) (MACRO_RESOLUTION_TRUST (REORDERING 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((_let_130 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_125)) :args ((or _let_112 _let_100 _let_124 (not _let_125)))) _let_129 _let_121 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_127 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.l3_lattices A) false))))) :args (_let_126))) _let_127 :args (_let_125 false _let_126)) :args (_let_124 true _let_112 false _let_99 false _let_125)))) (let ((_let_131 (not _let_124))) (let ((_let_132 (or _let_100 _let_92))) (let ((_let_133 (forall ((A $$unsorted)) (or (not (tptp.l3_lattices A)) (= (tptp.k1_lattice2 A) (tptp.g3_lattices (tptp.u1_struct_0 A) (tptp.u1_lattices A) (tptp.u2_lattices A))))))) (let ((_let_134 (EQ_RESOLVE (ASSUME :args (_let_24)) (MACRO_SR_EQ_INTRO :args (_let_24 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_135 (and _let_92 _let_91))) (let ((_let_136 (ASSUME :args (_let_91)))) (let ((_let_137 (ASSUME :args (_let_92)))) (let ((_let_138 (tptp.m2_relset_1 _let_67 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(MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_265)) :args ((or _let_112 _let_111 _let_100 _let_40 _let_249 (not _let_265)))) _let_129 _let_175 _let_121 _let_260 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_267 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_102 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.m1_filter_0 B (tptp.k1_lattice2 A)) false))))) :args (_let_266))) _let_267 :args (_let_265 false _let_266)) :args (_let_249 true _let_112 false _let_110 false _let_99 false _let_39 false _let_265)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_262)) :args ((or _let_112 _let_111 _let_100 _let_40 _let_248 (not _let_262)))) _let_129 _let_175 _let_121 _let_260 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_264 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_102 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.m1_filter_0 B (tptp.k1_lattice2 A)) false))))) :args (_let_263))) _let_264 :args (_let_262 false _let_263)) :args (_let_248 true _let_112 false _let_110 false _let_99 false _let_39 false _let_262)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_252)) :args ((or _let_112 _let_111 _let_100 _let_251 _let_246 (not _let_252)))) _let_129 _let_175 _let_121 _let_261 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_254 :args _let_255) :args (_let_253))) _let_254 :args (_let_252 false _let_253)) :args (_let_246 true _let_112 false _let_110 false _let_99 false _let_250 false _let_252)) :args (_let_242 false _let_249 false _let_248 false _let_246)))) (let ((_let_274 (tptp.r2_filter_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_102))) (let ((_let_275 (= _let_274 _let_33))) (let ((_let_276 (not _let_33))) (let ((_let_277 (or _let_112 _let_111 _let_100 _let_243 _let_275))) (let ((_let_278 (forall ((A $$unsorted) (BOUND_VARIABLE_2452 $$unsorted)) (or (tptp.v3_struct_0 A) (not (tptp.v10_lattices A)) (not (tptp.l3_lattices A)) 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_let_34))) (let ((_let_294 (not _let_32))) (let ((_let_295 (ASSUME :args (_let_276)))) (let ((_let_296 (ASSUME :args (_let_32)))) (let ((_let_297 (ASSUME :args (_let_34)))) (let ((_let_298 (ASSUME :args (_let_29)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_295 _let_296 _let_297 _let_298) :args (_let_29 _let_32 _let_276 _let_34)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (TRUE_INTRO _let_298)) (CONG (TRANS (SYMM (SYMM _let_297)) (SYMM _let_296)) (REFL :args (_let_28)) :args (APPLY_UF tptp.v1_filter_0)) (FALSE_INTRO _let_295))) :args (_let_276 _let_32 _let_34 _let_29)) :args ((not (and _let_29 _let_32 _let_276 _let_34)) SB_LITERAL))) (CONG (REFL :args (_let_35)) (REFL :args (_let_294)) (MACRO_SR_PRED_INTRO :args ((= (not _let_276) _let_33))) (REFL :args (_let_293)) :args _let_117)) :args ((or _let_35 _let_33 _let_294 _let_293))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_290)) :args ((or _let_112 _let_111 _let_100 _let_289 _let_34 (not _let_290)))) _let_129 _let_175 _let_121 (MACRO_RESOLUTION_TRUST (RESOLUTION (CNF_AND_NEG :args (_let_291)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_292 _let_215) (SCOPE (TRUE_ELIM (TRANS (CONG _let_287 (CONG _let_216 :args (APPLY_UF tptp.k1_zfmisc_1)) :args (APPLY_UF tptp.m1_subset_1)) (TRUE_INTRO _let_292))) :args (_let_250 _let_60))) :args (_let_60 _let_250))) :args (true _let_291)) _let_187 _let_261 :args (_let_288 false _let_60 false _let_250)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_193 :args _let_255) :args _let_194)) _let_193 :args (_let_290 false _let_192)) :args (_let_34 true _let_112 false _let_110 false _let_99 false _let_288 false _let_290)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_275)) :args ((or _let_274 _let_276 (not _let_275)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_283)) :args ((or _let_243 _let_282 _let_280 (not _let_283)))) _let_273 (MACRO_RESOLUTION_TRUST (RESOLUTION (CNF_AND_NEG :args (_let_285)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_286 _let_219 _let_217) (SCOPE (TRUE_ELIM (TRANS (CONG (TRANS (SYMM _let_218) (SYMM _let_220)) _let_287 :args (APPLY_UF tptp.r1_tarski)) (TRUE_INTRO _let_286))) :args (_let_37 _let_63 _let_62))) :args (_let_63 _let_62 _let_37))) :args (true _let_285)) _let_211 _let_205 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_41 1)) (CONG _let_241 (MACRO_SR_PRED_INTRO :args ((= (not _let_38) _let_37))) :args _let_117)) :args ((or _let_37 _let_41))) _let_240 :args (_let_37 true _let_41)) :args (_let_281 false _let_63 false _let_62 false _let_37)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_284) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_102 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.r1_tarski SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 C) false))))) :args _let_284)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_113 6)) (CONG _let_120 (MACRO_SR_PRED_INTRO :args ((= (not _let_105) _let_104))) :args _let_117)) :args ((or _let_104 _let_113))) _let_119 :args (_let_104 true _let_113)) :args (_let_283 false _let_104)) :args (_let_280 false _let_242 false _let_281 false _let_283)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_277)) :args ((or _let_112 _let_111 _let_100 _let_243 _let_275 (not _let_277)))) _let_129 _let_175 _let_121 _let_273 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_279 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_102 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.m2_filter_2 BOUND_VARIABLE_2452 A) false))))) :args (_let_278))) _let_279 :args (_let_277 false _let_278)) :args (_let_275 true _let_112 false _let_110 false _let_99 false _let_242 false _let_277)) :args (_let_276 true _let_274 false _let_275)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_244)) :args ((or _let_112 _let_111 _let_100 _let_243 _let_32 (not _let_244)))) _let_129 _let_175 _let_121 _let_273 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_208 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_102 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_210)) :args _let_209)) _let_208 :args (_let_244 false _let_207)) :args (_let_32 true _let_112 false _let_110 false _let_99 false _let_242 false _let_244)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_41 2)) (CONG _let_241 (MACRO_SR_PRED_INTRO :args ((= (not _let_35) _let_29))) :args _let_117)) :args ((or _let_29 _let_41))) _let_240 :args (_let_29 true _let_41)) :args (false false _let_34 true _let_33 false _let_32 false _let_29)) :args (_let_27 _let_26 (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.r2_hidden A B) (not (tptp.r2_hidden B A)))) (forall ((A $$unsorted)) (=> (tptp.v1_xboole_0 A) (tptp.v1_funct_1 A))) _let_25 (forall ((A $$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 $$unsorted)) (let ((_let_1 (not (tptp.v3_struct_0 A)))) (=> (tptp.l3_lattices A) (=> (and _let_1 (tptp.v13_lattices A) (tptp.v14_lattices A)) (and _let_1 (tptp.v15_lattices A)))))) (forall ((A $$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)))))) _let_24 _let_23 _let_22 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.g3_lattices A B C))) (let ((_let_2 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_2 A) (tptp.m1_relset_1 B _let_2 A) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 A) (tptp.m1_relset_1 C _let_2 A)) (and (tptp.v3_lattices _let_1) (tptp.l3_lattices _let_1)))))) _let_21 _let_20 _let_19 true true true (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (tptp.m1_subset_1 (tptp.k7_filter_2 A B) (tptp.k1_zfmisc_1 (tptp.u1_struct_0 (tptp.k1_lattice2 A)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 (tptp.k1_lattice2 A))))) (tptp.m1_subset_1 (tptp.k8_filter_2 A B) (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))))) (forall ((A $$unsorted)) (=> (tptp.l1_lattices A) (tptp.l1_struct_0 A))) true (forall ((A $$unsorted)) (=> (tptp.l2_lattices A) (tptp.l1_struct_0 A))) _let_18 _let_17 (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_filter_2 B A) (and (not (tptp.v1_xboole_0 B)) (tptp.m2_lattice4 B A)))))) true true _let_16 _let_15 (forall ((A $$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_14 true _let_13 (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 $$unsorted)) (tptp.m2_filter_2 B A)))) (forall ((A $$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 $$unsorted) (B $$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)))) (not (tptp.v1_xboole_0 (tptp.k7_filter_2 A B))))) _let_12 (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 $$unsorted) (B $$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 (tptp.k1_lattice2 A))))) (not (tptp.v1_xboole_0 (tptp.k8_filter_2 A B))))) _let_11 (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)))))) _let_10 (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 $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.k2_zfmisc_1 _let_1 _let_1))) (let ((_let_3 (tptp.u1_lattices A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v7_lattices A) (tptp.l1_lattices A)) (and (tptp.v1_relat_1 _let_3) (tptp.v1_funct_1 _let_3) (tptp.v1_funct_2 _let_3 _let_2 _let_1) (tptp.v2_binop_1 _let_3 _let_1) (tptp.v1_partfun1 _let_3 _let_2 _let_1))))))) _let_9 _let_8 (exists ((A $$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 $$unsorted)) (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (exists ((B $$unsorted)) (and (tptp.m2_lattice4 B A) (not (tptp.v1_xboole_0 B)))))) (forall ((A $$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 $$unsorted)) (and (tptp.v1_relat_1 A) (tptp.v1_xboole_0 A) (tptp.v1_funct_1 A))) (forall ((A $$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 $$unsorted)) (and (tptp.l3_lattices A) (not (tptp.v3_struct_0 A)) (tptp.v3_lattices A) (tptp.v4_lattices A) (tptp.v5_lattices A) (tptp.v6_lattices A) (tptp.v7_lattices A) (tptp.v8_lattices A) (tptp.v9_lattices A) (tptp.v10_lattices A))) _let_7 _let_6 _let_5 _let_4 (forall ((A $$unsorted) (B $$unsorted)) (tptp.r1_tarski A A)) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.r2_hidden A B) (tptp.m1_subset_1 A B))) _let_3 (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 A B) (or (tptp.v1_xboole_0 B) (tptp.r2_hidden A B)))) _let_2 (forall ((A $$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 $$unsorted)) (not (and (tptp.r2_hidden A B) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 C)) (tptp.v1_xboole_0 C)))) _let_1 (forall ((A $$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)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 36.00/36.19  )
% 36.00/36.19  % SZS output end Proof for LAT307+1
% 36.00/36.19  % cvc5---1.0.5 exiting
% 36.00/36.20  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------