%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : LAT321+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n027.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 06:04:01 EDT 2023

% Result   : Theorem 32.54s 32.84s
% Output   : Proof 32.54s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14  % Problem    : LAT321+1 : TPTP v8.1.2. Released v3.4.0.
% 0.00/0.15  % Command    : do_cvc5 %s %d
% 0.15/0.37  % Computer : n027.cluster.edu
% 0.15/0.37  % Model    : x86_64 x86_64
% 0.15/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37  % Memory   : 8042.1875MB
% 0.15/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37  % CPULimit   : 300
% 0.15/0.37  % WCLimit    : 300
% 0.15/0.37  % DateTime   : Thu Aug 24 10:10:02 EDT 2023
% 0.15/0.37  % CPUTime    : 
% 0.23/0.52  %----Proving TF0_NAR, FOF, or CNF
% 32.54/32.84  ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.WaMllLMrRZ/cvc5---1.0.5_7450.p...
% 32.54/32.84  ------- get file name : TPTP file name is LAT321+1
% 32.54/32.84  ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_7450.smt2...
% 32.54/32.84  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 32.54/32.84  --- Run --no-e-matching --full-saturate-quant at 5...
% 32.54/32.84  --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 5...
% 32.54/32.84  --- Run --finite-model-find --uf-ss=no-minimal at 5...
% 32.54/32.84  --- Run --multi-trigger-when-single --full-saturate-quant at 5...
% 32.54/32.84  --- Run --trigger-sel=max --full-saturate-quant at 5...
% 32.54/32.84  % SZS status Theorem for LAT321+1
% 32.54/32.84  % SZS output start Proof for LAT321+1
% 32.54/32.84  (
% 32.54/32.84  (let ((_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)) (=> (tptp.m1_filter_0 B A) (= (tptp.v1_filter_0 B A) (and (not (= B (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (or (tptp.r2_hidden C B) (tptp.r2_hidden (tptp.k7_lattices A C) B)))))))))))) (let ((_let_2 (forall ((A $$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.k1_lattice2 A))) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 _let_1)) (and (= (tptp.k7_lattices _let_1 (tptp.k5_filter_2 A B)) (tptp.k7_lattices A B)) (= (tptp.k7_lattices A (tptp.k6_filter_2 A C)) (tptp.k7_lattices _let_1 C)))))))))))) (let ((_let_3 (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_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 $$unsorted) (C $$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 $$unsorted)) (=> (= (tptp.g3_lattices A B C) (tptp.g3_lattices D E F)) (and (= A D) (= B E) (= C F))))))))) (let ((_let_8 (forall ((A $$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_9 (forall ((A $$unsorted)) (let ((_let_1 (tptp.k1_lattice2 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v17_lattices A) (tptp.l3_lattices A)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v3_lattices _let_1) (tptp.v4_lattices _let_1) (tptp.v5_lattices _let_1) (tptp.v6_lattices _let_1) (tptp.v7_lattices _let_1) (tptp.v8_lattices _let_1) (tptp.v9_lattices _let_1) (tptp.v10_lattices _let_1) (tptp.v11_lattices _let_1) (tptp.v12_lattices _let_1) (tptp.v13_lattices _let_1) (tptp.v14_lattices _let_1) (tptp.v15_lattices _let_1) (tptp.v16_lattices _let_1) (tptp.v17_lattices _let_1))))))) (let ((_let_10 (forall ((A $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.k2_zfmisc_1 _let_1 _let_1))) (let ((_let_3 (tptp.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_11 (forall ((A $$unsorted)) (let ((_let_1 (tptp.k1_lattice2 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l3_lattices A)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v3_lattices _let_1))))))) (let ((_let_12 (forall ((A $$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_13 (forall ((A $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.k2_zfmisc_1 _let_1 _let_1))) (let ((_let_3 (tptp.u1_lattices A))) (=> (tptp.l1_lattices A) (and (tptp.v1_funct_1 _let_3) (tptp.v1_funct_2 _let_3 _let_2 _let_1) (tptp.m2_relset_1 _let_3 _let_2 _let_1))))))))) (let ((_let_14 (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m2_lattice4 B A) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))))))))) (let ((_let_15 (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m2_filter_2 B A) (and (not (tptp.v1_xboole_0 B)) (tptp.m2_lattice4 B A)))))))) (let ((_let_16 (forall ((A $$unsorted)) (=> (tptp.l3_lattices A) (and (tptp.l1_lattices A) (tptp.l2_lattices A)))))) (let ((_let_17 (forall ((A $$unsorted)) (let ((_let_1 (tptp.k1_lattice2 A))) (=> (tptp.l3_lattices A) (and (tptp.v3_lattices _let_1) (tptp.l3_lattices _let_1))))))) (let ((_let_18 (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A) (tptp.m2_filter_2 B A)) (tptp.m1_filter_2 (tptp.k15_filter_2 A B) (tptp.k1_lattice2 A)))))) (let ((_let_19 (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (tptp.k7_filter_2 A B) B))))))) (let ((_let_20 (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (= (tptp.k5_filter_2 A B) B))))))) (let ((_let_21 (forall ((A $$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_22 (forall ((A $$unsorted)) (let ((_let_1 (not (tptp.v3_struct_0 A)))) (=> (tptp.l3_lattices A) (=> (and _let_1 (tptp.v10_lattices A)) (and _let_1 (tptp.v4_lattices A) (tptp.v5_lattices A) (tptp.v6_lattices A) (tptp.v7_lattices A) (tptp.v8_lattices A) (tptp.v9_lattices A)))))))) (let ((_let_23 (forall ((A $$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_24 (not (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.m2_filter_2 B A) (= (tptp.r2_filter_2 A B) (and (not (= B (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (or (tptp.r2_hidden C B) (tptp.r2_hidden (tptp.k7_lattices A C) B))))))))))))) (let ((_let_25 (tptp.k7_filter_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_26 (tptp.k15_filter_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_27 (= _let_26 _let_25))) (let ((_let_28 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_25))) (let ((_let_29 (tptp.k1_lattice2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_30 (tptp.k7_lattices _let_29 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_202))) (let ((_let_31 (tptp.r2_hidden _let_30 _let_26))) (let ((_let_32 (tptp.k7_lattices SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_202))) (let ((_let_33 (tptp.r2_hidden _let_32 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_34 (tptp.k5_filter_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_202))) (let ((_let_35 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_202 _let_34))) (let ((_let_36 (= (tptp.k7_lattices _let_29 _let_34) _let_32))) (let ((_let_37 (tptp.m2_filter_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_38 (not _let_37))) (let ((_let_39 (tptp.l3_lattices SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_40 (not _let_39))) (let ((_let_41 (tptp.v10_lattices SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_42 (not _let_41))) (let ((_let_43 (tptp.v3_struct_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_44 (or _let_43 _let_42 _let_40 _let_38 _let_27))) (let ((_let_45 (forall ((A $$unsorted) (B $$unsorted)) (or (tptp.v3_struct_0 A) (not (tptp.v10_lattices A)) (not (tptp.l3_lattices A)) (not (tptp.m2_filter_2 B A)) (= (tptp.k15_filter_2 A B) (tptp.k7_filter_2 A B)))))) (let ((_let_46 (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_47 (forall ((C $$unsorted)) (or (not (tptp.m1_subset_1 C (tptp.u1_struct_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (tptp.r2_hidden C SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3) (tptp.r2_hidden (tptp.k7_lattices SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 C) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))))) (let ((_let_48 (tptp.u1_struct_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_49 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_48))) (let ((_let_50 (not _let_49))) (let ((_let_51 (and _let_50 _let_47))) (let ((_let_52 (tptp.r2_filter_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_53 (= _let_52 _let_51))) (let ((_let_54 (tptp.v17_lattices SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_55 (not _let_54))) (let ((_let_56 (or _let_43 _let_42 _let_55 _let_40 _let_38 _let_53))) (let ((_let_57 (forall ((A $$unsorted) (BOUND_VARIABLE_1846 $$unsorted)) (or (tptp.v3_struct_0 A) (not (tptp.v10_lattices A)) (not (tptp.v17_lattices A)) (not (tptp.l3_lattices A)) (not (tptp.m2_filter_2 BOUND_VARIABLE_1846 A)) (= (tptp.r2_filter_2 A BOUND_VARIABLE_1846) (and (not (= (tptp.u1_struct_0 A) BOUND_VARIABLE_1846)) (forall ((C $$unsorted)) (or (not (tptp.m1_subset_1 C (tptp.u1_struct_0 A))) (tptp.r2_hidden C BOUND_VARIABLE_1846) (tptp.r2_hidden (tptp.k7_lattices A C) BOUND_VARIABLE_1846))))))))) (let ((_let_58 (not _let_56))) (let ((_let_59 (EQ_RESOLVE (ASSUME :args (_let_24)) (MACRO_SR_EQ_INTRO :args (_let_24 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_60 (or))) (let ((_let_61 (not _let_57))) (let ((_let_62 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE _let_59) :args (_let_61)) (REWRITE :args ((=> _let_61 (not (or _let_43 _let_42 _let_55 _let_40 _let_38 (= _let_52 (and (not (= _let_48 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)) _let_47))))))))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_61) _let_57))) (REFL :args (_let_58)) :args _let_60)) _let_59 :args (_let_58 true _let_57)))) (let ((_let_63 (REFL :args (_let_56)))) (let ((_let_64 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_56 4)) (CONG _let_63 (MACRO_SR_PRED_INTRO :args ((= (not _let_38) _let_37))) :args _let_60)) :args ((or _let_37 _let_56))) _let_62 :args (_let_37 true _let_56)))) (let ((_let_65 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_56 3)) (CONG _let_63 (MACRO_SR_PRED_INTRO :args ((= (not _let_40) _let_39))) :args _let_60)) :args ((or _let_39 _let_56))) _let_62 :args (_let_39 true _let_56)))) (let ((_let_66 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_56 1)) (CONG _let_63 (MACRO_SR_PRED_INTRO :args ((= (not _let_42) _let_41))) :args _let_60)) :args ((or _let_41 _let_56))) _let_62 :args (_let_41 true _let_56)))) (let ((_let_67 (not _let_43))) (let ((_let_68 (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_56 0)) _let_62 :args (_let_67 true _let_56)))) (let ((_let_69 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_44)) :args ((or _let_43 _let_42 _let_40 _let_38 _let_27 (not _let_44)))) _let_68 _let_66 _let_65 _let_64 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_46 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.m2_filter_2 B A) false))))) :args (_let_45))) _let_46 :args (_let_44 false _let_45)) :args (_let_27 true _let_43 false _let_41 false _let_39 false _let_37 false _let_44)))) (let ((_let_70 (tptp.m1_subset_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 (tptp.k1_zfmisc_1 _let_48)))) (let ((_let_71 (not _let_70))) (let ((_let_72 (or _let_43 _let_42 _let_40 _let_71 _let_28))) (let ((_let_73 (forall ((A $$unsorted) (BOUND_VARIABLE_2035 $$unsorted)) (or (tptp.v3_struct_0 A) (not (tptp.v10_lattices A)) (not (tptp.l3_lattices A)) (not (tptp.m1_subset_1 BOUND_VARIABLE_2035 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (= BOUND_VARIABLE_2035 (tptp.k7_filter_2 A BOUND_VARIABLE_2035)))))) (let ((_let_74 (EQ_RESOLVE (ASSUME :args (_let_19)) (MACRO_SR_EQ_INTRO :args (_let_19 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_75 (tptp.m2_lattice4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_76 (not _let_75))) (let ((_let_77 (or _let_43 _let_42 _let_40 _let_76 _let_70))) (let ((_let_78 (forall ((A $$unsorted) (BOUND_VARIABLE_2203 $$unsorted)) (or (tptp.v3_struct_0 A) (not (tptp.v10_lattices A)) (not (tptp.l3_lattices A)) (not (tptp.m2_lattice4 BOUND_VARIABLE_2203 A)) (tptp.m1_subset_1 BOUND_VARIABLE_2203 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))))))) (let ((_let_79 (EQ_RESOLVE (ASSUME :args (_let_14)) (MACRO_SR_EQ_INTRO :args (_let_14 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_80 (and (not (tptp.v1_xboole_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)) _let_75))) (let ((_let_81 (or _let_43 _let_42 _let_40 _let_38 _let_80))) (let ((_let_82 (forall ((A $$unsorted) (BOUND_VARIABLE_2177 $$unsorted)) (or (tptp.v3_struct_0 A) (not (tptp.v10_lattices A)) (not (tptp.l3_lattices A)) (not (tptp.m2_filter_2 BOUND_VARIABLE_2177 A)) (and (not (tptp.v1_xboole_0 BOUND_VARIABLE_2177)) (tptp.m2_lattice4 BOUND_VARIABLE_2177 A)))))) (let ((_let_83 (EQ_RESOLVE (ASSUME :args (_let_15)) (MACRO_SR_EQ_INTRO :args (_let_15 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_84 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_72)) :args ((or _let_43 _let_42 _let_40 _let_71 _let_28 (not _let_72)))) _let_68 _let_66 _let_65 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_77)) :args ((or _let_43 _let_42 _let_40 _let_76 _let_70 (not _let_77)))) _let_68 _let_66 _let_65 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_80 1)) :args ((or _let_75 (not _let_80)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_81)) :args ((or _let_43 _let_42 _let_40 _let_38 _let_80 (not _let_81)))) _let_68 _let_66 _let_65 _let_64 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_83 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.m2_filter_2 BOUND_VARIABLE_2177 A) false))))) :args (_let_82))) _let_83 :args (_let_81 false _let_82)) :args (_let_80 true _let_43 false _let_41 false _let_39 false _let_37 false _let_81)) :args (_let_75 false _let_80)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_79 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.m2_lattice4 BOUND_VARIABLE_2203 A) false))))) :args (_let_78))) _let_79 :args (_let_77 false _let_78)) :args (_let_70 true _let_43 false _let_41 false _let_39 false _let_75 false _let_77)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_74 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.k7_filter_2 A BOUND_VARIABLE_2035)))) :args (_let_73))) _let_74 :args (_let_72 false _let_73)) :args (_let_28 true _let_43 false _let_41 false _let_39 false _let_70 false _let_72)))) (let ((_let_85 (tptp.r2_hidden SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_202 _let_26))) (let ((_let_86 (tptp.u1_struct_0 _let_29))) (let ((_let_87 (tptp.m1_subset_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_202 _let_86))) (let ((_let_88 (not _let_87))) (let ((_let_89 (or _let_88 _let_85 _let_31))) (let ((_let_90 (not _let_31))) (let ((_let_91 (forall ((C $$unsorted)) (let ((_let_1 (tptp.k15_filter_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_2 (tptp.k1_lattice2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (or (not (tptp.m1_subset_1 C (tptp.u1_struct_0 _let_2))) (tptp.r2_hidden C _let_1) (tptp.r2_hidden (tptp.k7_lattices _let_2 C) _let_1))))))) (let ((_let_92 (not _let_89))) (let ((_let_93 (= _let_26 _let_86))) (let ((_let_94 (not _let_93))) (let ((_let_95 (and _let_94 _let_91))) (let ((_let_96 (not _let_91))) (let ((_let_97 (tptp.v1_filter_0 _let_26 _let_29))) (let ((_let_98 (= _let_97 _let_95))) (let ((_let_99 (not _let_95))) (let ((_let_100 (tptp.m1_filter_0 _let_26 _let_29))) (let ((_let_101 (not _let_100))) (let ((_let_102 (tptp.l3_lattices _let_29))) (let ((_let_103 (not _let_102))) (let ((_let_104 (tptp.v17_lattices _let_29))) (let ((_let_105 (not _let_104))) (let ((_let_106 (tptp.v10_lattices _let_29))) (let ((_let_107 (not _let_106))) (let ((_let_108 (tptp.v3_struct_0 _let_29))) (let ((_let_109 (or _let_108 _let_107 _let_105 _let_103 _let_101 _let_98))) (let ((_let_110 (forall ((A $$unsorted) (BOUND_VARIABLE_2774 $$unsorted)) (or (tptp.v3_struct_0 A) (not (tptp.v10_lattices A)) (not (tptp.v17_lattices A)) (not (tptp.l3_lattices A)) (not (tptp.m1_filter_0 BOUND_VARIABLE_2774 A)) (= (tptp.v1_filter_0 BOUND_VARIABLE_2774 A) (and (not (= (tptp.u1_struct_0 A) BOUND_VARIABLE_2774)) (forall ((C $$unsorted)) (or (not (tptp.m1_subset_1 C (tptp.u1_struct_0 A))) (tptp.r2_hidden C BOUND_VARIABLE_2774) (tptp.r2_hidden (tptp.k7_lattices A C) BOUND_VARIABLE_2774))))))))) (let ((_let_111 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_112 (tptp.m1_filter_2 _let_26 _let_29))) (let ((_let_113 (= _let_112 _let_100))) (let ((_let_114 (or _let_108 _let_107 _let_103 _let_113))) (let ((_let_115 (forall ((A $$unsorted) (BOUND_VARIABLE_2646 $$unsorted)) (or (tptp.v3_struct_0 A) (not (tptp.v10_lattices A)) (not (tptp.l3_lattices A)) (= (tptp.m1_filter_2 BOUND_VARIABLE_2646 A) (tptp.m1_filter_0 BOUND_VARIABLE_2646 A)))))) (let ((_let_116 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_117 (tptp.v3_lattices _let_29))) (let ((_let_118 (and _let_117 _let_102))) (let ((_let_119 (or _let_40 _let_118))) (let ((_let_120 (forall ((A $$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_121 (EQ_RESOLVE (ASSUME :args (_let_17)) (MACRO_SR_EQ_INTRO :args (_let_17 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_122 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_118 1)) :args ((or _let_102 (not _let_118)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_119)) :args ((or _let_40 _let_118 (not _let_119)))) _let_65 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_121 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING ((tptp.v3_lattices (tptp.k1_lattice2 A))))) :args (_let_120))) _let_121 :args (_let_119 false _let_120)) :args (_let_118 false _let_39 false _let_119)) :args (_let_102 false _let_118)))) (let ((_let_123 (not _let_108))) (let ((_let_124 (and _let_123 _let_117 (tptp.v4_lattices _let_29) (tptp.v5_lattices _let_29) (tptp.v6_lattices _let_29) (tptp.v7_lattices _let_29) (tptp.v8_lattices _let_29) (tptp.v9_lattices _let_29) _let_106 (tptp.v11_lattices _let_29) (tptp.v12_lattices _let_29) (tptp.v13_lattices _let_29) (tptp.v14_lattices _let_29) (tptp.v15_lattices _let_29) (tptp.v16_lattices _let_29) _let_104))) (let ((_let_125 (or _let_43 _let_42 _let_55 _let_40 _let_124))) (let ((_let_126 (forall ((A $$unsorted)) (let ((_let_1 (tptp.k1_lattice2 A))) (or (tptp.v3_struct_0 A) (not (tptp.v10_lattices A)) (not (tptp.v17_lattices A)) (not (tptp.l3_lattices A)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v3_lattices _let_1) (tptp.v4_lattices _let_1) (tptp.v5_lattices _let_1) (tptp.v6_lattices _let_1) (tptp.v7_lattices _let_1) (tptp.v8_lattices _let_1) (tptp.v9_lattices _let_1) (tptp.v10_lattices _let_1) (tptp.v11_lattices _let_1) (tptp.v12_lattices _let_1) (tptp.v13_lattices _let_1) (tptp.v14_lattices _let_1) (tptp.v15_lattices _let_1) (tptp.v16_lattices _let_1) (tptp.v17_lattices _let_1))))))) (let ((_let_127 (EQ_RESOLVE (ASSUME :args (_let_9)) (MACRO_SR_EQ_INTRO :args (_let_9 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_128 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_56 2)) (CONG _let_63 (MACRO_SR_PRED_INTRO :args ((= (not _let_55) _let_54))) :args _let_60)) :args ((or _let_54 _let_56))) _let_62 :args (_let_54 true _let_56)))) (let ((_let_129 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_125)) :args ((or _let_43 _let_42 _let_55 _let_40 _let_124 (not _let_125)))) _let_68 _let_66 _let_128 _let_65 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_127 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.l3_lattices A) false))))) :args (_let_126))) _let_127 :args (_let_125 false _let_126)) :args (_let_124 true _let_43 false _let_41 false _let_54 false _let_39 false _let_125)))) (let ((_let_130 (not _let_124))) (let ((_let_131 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_124 8)) :args ((or _let_106 _let_130))) _let_129 :args (_let_106 false _let_124)))) (let ((_let_132 (and _let_123 _let_117))) (let ((_let_133 (or _let_43 _let_40 _let_132))) (let ((_let_134 (forall ((A $$unsorted)) (let ((_let_1 (tptp.k1_lattice2 A))) (or (tptp.v3_struct_0 A) (not (tptp.l3_lattices A)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v3_lattices _let_1))))))) (let ((_let_135 (EQ_RESOLVE (ASSUME :args (_let_11)) (MACRO_SR_EQ_INTRO :args (_let_11 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_136 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_133)) :args ((or _let_43 _let_40 _let_132 (not _let_133)))) _let_68 _let_65 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_135 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.l3_lattices A) false))))) :args (_let_134))) _let_135 :args (_let_133 false _let_134)) :args (_let_132 true _let_43 false _let_39 false _let_133)))) (let ((_let_137 (not _let_132))) (let ((_let_138 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_132 0)) :args ((or _let_123 _let_137))) _let_136 :args (_let_123 false _let_132)))) (let ((_let_139 (or _let_43 _let_42 _let_40 _let_38 _let_112))) (let ((_let_140 (forall ((A $$unsorted) (B $$unsorted)) (or (tptp.v3_struct_0 A) (not (tptp.v10_lattices A)) (not (tptp.l3_lattices A)) (not (tptp.m2_filter_2 B A)) (tptp.m1_filter_2 (tptp.k15_filter_2 A B) (tptp.k1_lattice2 A)))))) (let ((_let_141 (EQ_RESOLVE (ASSUME :args (_let_18)) (MACRO_SR_EQ_INTRO :args (_let_18 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_142 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_109)) :args ((or _let_108 _let_107 _let_105 _let_103 _let_101 _let_98 (not _let_109)))) _let_138 _let_131 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_124 15)) :args ((or _let_104 _let_130))) _let_129 :args (_let_104 false _let_124)) _let_122 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_113)) :args ((or (not _let_112) _let_100 (not _let_113)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_139)) :args ((or _let_43 _let_42 _let_40 _let_38 _let_112 (not _let_139)))) _let_68 _let_66 _let_65 _let_64 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_141 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.m2_filter_2 B A) false))))) :args (_let_140))) _let_141 :args (_let_139 false _let_140)) :args (_let_112 true _let_43 false _let_41 false _let_39 false _let_37 false _let_139)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_114)) :args ((or _let_108 _let_107 _let_103 _let_113 (not _let_114)))) _let_138 _let_131 _let_122 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_116 :args (_let_29 _let_26 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.m1_filter_2 BOUND_VARIABLE_2646 A)))) :args (_let_115))) _let_116 :args (_let_114 false _let_115)) :args (_let_113 true _let_108 false _let_106 false _let_102 false _let_114)) :args (_let_100 false _let_112 false _let_113)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_111 :args (_let_29 _let_26 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.v1_filter_0 BOUND_VARIABLE_2774 A)))) :args (_let_110)))) _let_111 :args (_let_109 false _let_110)) :args (_let_98 true _let_108 false _let_106 false _let_104 false _let_102 false _let_100 false _let_109)))) (let ((_let_143 (= _let_52 _let_97))) (let ((_let_144 (not _let_97))) (let ((_let_145 (or _let_43 _let_42 _let_40 _let_38 _let_143))) (let ((_let_146 (forall ((A $$unsorted) (BOUND_VARIABLE_2677 $$unsorted)) (or (tptp.v3_struct_0 A) (not (tptp.v10_lattices A)) (not (tptp.l3_lattices A)) (not (tptp.m2_filter_2 BOUND_VARIABLE_2677 A)) (= (tptp.r2_filter_2 A BOUND_VARIABLE_2677) (tptp.v1_filter_0 (tptp.k15_filter_2 A BOUND_VARIABLE_2677) (tptp.k1_lattice2 A))))))) (let ((_let_147 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_148 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_145)) :args ((or _let_43 _let_42 _let_40 _let_38 _let_143 (not _let_145)))) _let_68 _let_66 _let_65 _let_64 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_147 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.m2_filter_2 BOUND_VARIABLE_2677 A) false))))) :args (_let_146))) _let_147 :args (_let_145 false _let_146)) :args (_let_143 true _let_43 false _let_41 false _let_39 false _let_37 false _let_145)))) (let ((_let_149 (tptp.k7_lattices _let_29 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_114))) (let ((_let_150 (tptp.r2_hidden _let_149 _let_26))) (let ((_let_151 (tptp.r2_hidden SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_114 _let_26))) (let ((_let_152 (tptp.m1_subset_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_114 _let_86))) (let ((_let_153 (not _let_152))) (let ((_let_154 (or _let_153 _let_151 _let_150))) (let ((_let_155 (= _let_48 _let_86))) (let ((_let_156 (tptp.k7_lattices SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_114))) (let ((_let_157 (tptp.r2_hidden _let_156 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_158 (tptp.r2_hidden SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_114 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_159 (tptp.m1_subset_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_114 _let_48))) (let ((_let_160 (not _let_159))) (let ((_let_161 (or _let_160 _let_158 _let_157))) (let ((_let_162 (tptp.k5_filter_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_114))) (let ((_let_163 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_114 _let_162))) (let ((_let_164 (or _let_43 _let_42 _let_40 _let_160 _let_163))) (let ((_let_165 (= _let_156 (tptp.k7_lattices _let_29 _let_162)))) (let ((_let_166 (and _let_165 (= (tptp.k7_lattices SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 (tptp.k6_filter_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_114)) _let_149)))) (let ((_let_167 (or _let_43 _let_42 _let_55 _let_40 _let_160 _let_153 _let_166))) (let ((_let_168 (not _let_52))) (let ((_let_169 (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_56 5)) _let_62 :args ((not _let_53) true _let_56)))) (let ((_let_170 (_let_53))) (let ((_let_171 (not _let_143))) (let ((_let_172 (_let_143))) (let ((_let_173 (not _let_98))) (let ((_let_174 (_let_98))) (let ((_let_175 (_let_91))) (let ((_let_176 (tptp.u1_lattices _let_29))) (let ((_let_177 (tptp.u2_lattices SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_178 (tptp.u2_lattices _let_29))) (let ((_let_179 (tptp.u1_lattices SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_180 (and _let_155 (= _let_179 _let_178) (= _let_177 _let_176)))) (let ((_let_181 (tptp.g3_lattices _let_86 _let_178 _let_176))) (let ((_let_182 (tptp.g3_lattices _let_48 _let_179 _let_177))) (let ((_let_183 (= _let_182 _let_181))) (let ((_let_184 (not _let_183))) (let ((_let_185 (tptp.k2_zfmisc_1 _let_48 _let_48))) (let ((_let_186 (tptp.m1_relset_1 _let_177 _let_185 _let_48))) (let ((_let_187 (not _let_186))) (let ((_let_188 (tptp.v1_funct_2 _let_177 _let_185 _let_48))) (let ((_let_189 (not _let_188))) (let ((_let_190 (tptp.v1_funct_1 _let_177))) (let ((_let_191 (not _let_190))) (let ((_let_192 (tptp.m1_relset_1 _let_179 _let_185 _let_48))) (let ((_let_193 (not _let_192))) (let ((_let_194 (tptp.v1_funct_2 _let_179 _let_185 _let_48))) (let ((_let_195 (not _let_194))) (let ((_let_196 (tptp.v1_funct_1 _let_179))) (let ((_let_197 (not _let_196))) (let ((_let_198 (or _let_197 _let_195 _let_193 _let_191 _let_189 _let_187 _let_184 _let_180))) (let ((_let_199 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (BOUND_VARIABLE_2404 $$unsorted) (BOUND_VARIABLE_2402 $$unsorted) (BOUND_VARIABLE_2400 $$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_2400 BOUND_VARIABLE_2402 BOUND_VARIABLE_2404))) (and (= A BOUND_VARIABLE_2400) (= B BOUND_VARIABLE_2402) (= C BOUND_VARIABLE_2404))))))) (let ((_let_200 (EQ_RESOLVE (ASSUME :args (_let_7)) (MACRO_SR_EQ_INTRO :args (_let_7 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_201 (= _let_29 _let_181))) (let ((_let_202 (= _let_29 _let_182))) (let ((_let_203 (not _let_117))) (let ((_let_204 (or _let_103 _let_203 _let_201))) (let ((_let_205 (forall ((A $$unsorted)) (or (not (tptp.l3_lattices A)) (not (tptp.v3_lattices A)) (= A (tptp.g3_lattices (tptp.u1_struct_0 A) (tptp.u2_lattices A) (tptp.u1_lattices A))))))) (let ((_let_206 (EQ_RESOLVE (ASSUME :args (_let_23)) (MACRO_SR_EQ_INTRO :args (_let_23 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_207 (or _let_40 _let_202))) (let ((_let_208 (forall ((A $$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_209 (EQ_RESOLVE (ASSUME :args (_let_21)) (MACRO_SR_EQ_INTRO :args (_let_21 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_210 (and _let_202 _let_201))) (let ((_let_211 (ASSUME :args (_let_201)))) (let ((_let_212 (ASSUME :args (_let_202)))) (let ((_let_213 (tptp.m2_relset_1 _let_177 _let_185 _let_48))) (let ((_let_214 (= _let_186 _let_213))) (let ((_let_215 (_let_4))) (let ((_let_216 (ASSUME :args _let_215))) (let ((_let_217 (and _let_190 _let_188 _let_213))) (let ((_let_218 (tptp.l2_lattices SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_219 (not _let_218))) (let ((_let_220 (or _let_219 _let_217))) (let ((_let_221 (forall ((A $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.k2_zfmisc_1 _let_1 _let_1))) (let ((_let_3 (tptp.u2_lattices A))) (or (not (tptp.l2_lattices A)) (and (tptp.v1_funct_1 _let_3) (tptp.v1_funct_2 _let_3 _let_2 _let_1) (tptp.m2_relset_1 _let_3 _let_2 _let_1))))))))) (let ((_let_222 (EQ_RESOLVE (ASSUME :args (_let_12)) (MACRO_SR_EQ_INTRO :args (_let_12 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_223 (tptp.l1_lattices SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_224 (and _let_223 _let_218))) (let ((_let_225 (or _let_40 _let_224))) (let ((_let_226 (forall ((A $$unsorted)) (or (not (tptp.l3_lattices A)) (and (tptp.l1_lattices A) (tptp.l2_lattices A)))))) (let ((_let_227 (EQ_RESOLVE (ASSUME :args (_let_16)) (MACRO_SR_EQ_INTRO :args (_let_16 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_228 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_225)) :args ((or _let_40 _let_224 (not _let_225)))) _let_65 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_227 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.l3_lattices A) false))))) :args (_let_226))) _let_227 :args (_let_225 false _let_226)) :args (_let_224 false _let_39 false _let_225)))) (let ((_let_229 (not _let_224))) (let ((_let_230 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_224 1)) :args ((or _let_218 _let_229))) _let_228 :args (_let_218 false _let_224)))) (let ((_let_231 (tptp.m2_relset_1 _let_179 _let_185 _let_48))) (let ((_let_232 (= _let_192 _let_231))) (let ((_let_233 (and _let_196 _let_194 _let_231))) (let ((_let_234 (not _let_223))) (let ((_let_235 (or _let_234 _let_233))) (let ((_let_236 (forall ((A $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.k2_zfmisc_1 _let_1 _let_1))) (let ((_let_3 (tptp.u1_lattices A))) (or (not (tptp.l1_lattices A)) (and (tptp.v1_funct_1 _let_3) (tptp.v1_funct_2 _let_3 _let_2 _let_1) (tptp.m2_relset_1 _let_3 _let_2 _let_1))))))))) (let ((_let_237 (EQ_RESOLVE (ASSUME :args (_let_13)) (MACRO_SR_EQ_INTRO :args (_let_13 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_238 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_224 0)) :args ((or _let_223 _let_229))) _let_228 :args (_let_223 false _let_224)))) (let ((_let_239 (and (tptp.v1_relat_1 _let_179) _let_196 _let_194 (tptp.v1_binop_1 _let_179 _let_48) (tptp.v1_partfun1 _let_179 _let_185 _let_48)))) (let ((_let_240 (tptp.v6_lattices SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_241 (not _let_240))) (let ((_let_242 (or _let_43 _let_241 _let_234 _let_239))) (let ((_let_243 (forall ((A $$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 (tptp.v3_struct_0 A) (not (tptp.v6_lattices A)) (not (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_244 (EQ_RESOLVE (ASSUME :args (_let_8)) (MACRO_SR_EQ_INTRO :args (_let_8 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_245 (tptp.v4_lattices SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_246 (and _let_67 _let_245 (tptp.v5_lattices SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2) _let_240 (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_247 (or _let_40 _let_43 _let_42 _let_246))) (let ((_let_248 (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_249 (EQ_RESOLVE (ASSUME :args (_let_22)) (MACRO_SR_EQ_INTRO :args (_let_22 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_250 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_247)) :args ((or _let_43 _let_42 _let_40 _let_246 (not _let_247)))) _let_68 _let_66 _let_65 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_249 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.v3_struct_0 A) true))))) :args (_let_248))) _let_249 :args (_let_247 false _let_248)) :args (_let_246 true _let_43 false _let_41 false _let_39 false _let_247)))) (let ((_let_251 (not _let_246))) (let ((_let_252 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_242)) :args ((or _let_43 _let_241 _let_234 _let_239 (not _let_242)))) _let_68 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_246 3)) :args ((or _let_240 _let_251))) _let_250 :args (_let_240 false _let_246)) _let_238 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_244 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 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(MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_254 1)) :args ((or _let_190 _let_260))) _let_259 :args (_let_190 false _let_254)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_254 2)) :args ((or _let_188 _let_260))) _let_259 :args (_let_188 false _let_254)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_239 1)) :args ((or _let_196 _let_253))) _let_252 :args (_let_196 false _let_239)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_239 2)) :args ((or _let_194 _let_253))) _let_252 :args (_let_194 false _let_239)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_232)) :args ((or _let_192 (not _let_231) (not _let_232)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_233 2)) :args ((or _let_231 (not _let_233)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_235)) :args ((or _let_234 _let_233 (not _let_235)))) _let_238 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_237 :args 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_let_199)) :args (_let_180 false _let_190 false _let_188 false _let_196 false _let_194 false _let_192 false _let_186 false _let_183 false _let_198)) :args (_let_155 false _let_180)))) (let ((_let_262 (not _let_155))) (let ((_let_263 (not _let_28))) (let ((_let_264 (not _let_27))) (let ((_let_265 (_let_50))) (let ((_let_266 (REFL :args (_let_262)))) (let ((_let_267 (MACRO_SR_PRED_INTRO :args ((= (not _let_94) _let_93))))) (let ((_let_268 (REFL :args (_let_263)))) (let ((_let_269 (REFL :args (_let_264)))) (let ((_let_270 (and _let_27 _let_28 _let_94 _let_155))) (let ((_let_271 (_let_94))) (let ((_let_272 (ASSUME :args _let_271))) (let ((_let_273 (=))) (let ((_let_274 (ASSUME :args (_let_155)))) (let ((_let_275 (SYMM _let_274))) (let ((_let_276 (SYMM _let_275))) (let ((_let_277 (ASSUME :args (_let_27)))) (let ((_let_278 (SYMM _let_277))) (let ((_let_279 (ASSUME :args (_let_28)))) (let ((_let_280 (SYMM _let_279))) (let ((_let_281 (SYMM _let_280))) (let ((_let_282 (not _let_47))) (let ((_let_283 (_let_282))) (let ((_let_284 (MACRO_SR_PRED_INTRO :args ((= (not _let_50) _let_49))))) (let ((_let_285 (_let_51))) (let ((_let_286 (forall ((A $$unsorted) (BOUND_VARIABLE_1981 $$unsorted)) (or (tptp.v3_struct_0 A) (not (tptp.v10_lattices A)) (not (tptp.l3_lattices A)) (not (tptp.m1_subset_1 BOUND_VARIABLE_1981 (tptp.u1_struct_0 A))) (= BOUND_VARIABLE_1981 (tptp.k5_filter_2 A BOUND_VARIABLE_1981)))))) (let ((_let_287 (EQ_RESOLVE (ASSUME :args (_let_20)) (MACRO_SR_EQ_INTRO :args (_let_20 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_288 (_let_286))) (let ((_let_289 ((not (= (tptp.m1_subset_1 BOUND_VARIABLE_1981 (tptp.u1_struct_0 A)) false))))) (let ((_let_290 (and _let_155 _let_159))) (let ((_let_291 (ASSUME :args (_let_159)))) (let ((_let_292 (APPLY_UF tptp.m1_subset_1))) (let ((_let_293 (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_114)))) (let ((_let_294 (not _let_158))) (let ((_let_295 (and _let_27 _let_28 _let_294))) (let ((_let_296 (ASSUME :args (_let_294)))) (let ((_let_297 (APPLY_UF tptp.r2_hidden))) (let ((_let_298 (SYMM _let_278))) (let ((_let_299 (TRANS _let_298 _let_280))) (let ((_let_300 (forall ((A $$unsorted) (BOUND_VARIABLE_2733 $$unsorted) (BOUND_VARIABLE_2731 $$unsorted)) (let ((_let_1 (tptp.k1_lattice2 A))) (or (tptp.v3_struct_0 A) (not (tptp.v10_lattices A)) (not (tptp.v17_lattices A)) (not (tptp.l3_lattices A)) (not (tptp.m1_subset_1 BOUND_VARIABLE_2731 (tptp.u1_struct_0 A))) (not (tptp.m1_subset_1 BOUND_VARIABLE_2733 (tptp.u1_struct_0 _let_1))) (and (= (tptp.k7_lattices _let_1 (tptp.k5_filter_2 A BOUND_VARIABLE_2731)) (tptp.k7_lattices A BOUND_VARIABLE_2731)) (= (tptp.k7_lattices A (tptp.k6_filter_2 A BOUND_VARIABLE_2733)) (tptp.k7_lattices _let_1 BOUND_VARIABLE_2733)))))))) (let ((_let_301 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_302 (_let_300))) (let ((_let_303 (tptp.k1_lattice2 A))) (let ((_let_304 (not (= (tptp.m1_subset_1 BOUND_VARIABLE_2731 (tptp.u1_struct_0 A)) false)))) (let ((_let_305 (not _let_157))) (let ((_let_306 (ASSUME :args (_let_305)))) (let ((_let_307 (ASSUME :args (_let_165)))) (let ((_let_308 (APPLY_UF tptp.k7_lattices))) (let ((_let_309 (ASSUME :args (_let_163)))) (let ((_let_310 (REFL :args (_let_29)))) (let ((_let_311 (ASSUME :args (_let_150)))) (let ((_let_312 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_306 _let_307 _let_309 _let_279 _let_277 _let_311) :args (_let_27 _let_28 _let_305 _let_163 _let_165 _let_150)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (TRUE_INTRO _let_311)) (CONG (TRANS (CONG _let_310 (SYMM (SYMM _let_309)) :args _let_308) (SYMM _let_307)) _let_299 :args _let_297) (FALSE_INTRO _let_306))) :args (_let_305 _let_165 _let_163 _let_28 _let_27 _let_150)) :args ((not (and _let_27 _let_28 _let_305 _let_163 _let_165 _let_150)) SB_LITERAL))) (CONG _let_269 _let_268 (MACRO_SR_PRED_INTRO :args ((= (not _let_305) _let_157))) (REFL :args ((not _let_163))) (REFL :args ((not 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(REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_161 0)) (CONG (REFL :args (_let_161)) (MACRO_SR_PRED_INTRO :args ((= (not _let_160) _let_159))) :args _let_60)) :args ((or _let_159 _let_161))) (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_283)) :args _let_283)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_282) _let_47))) (REFL :args ((not _let_161))) :args _let_60)) (REORDERING (EQ_RESOLVE (CNF_AND_NEG :args _let_285) (CONG (REFL :args _let_285) _let_284 (REFL :args _let_283) :args _let_60)) :args ((or _let_49 _let_51 _let_282))) (REORDERING (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_270)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_272 _let_277 _let_279 _let_274) (SCOPE (FALSE_ELIM (TRANS (CONG (TRANS _let_281 _let_278) _let_276 :args _let_273) (FALSE_INTRO _let_272))) :args (_let_94 _let_27 _let_28 _let_155))) :args (_let_27 _let_28 _let_94 _let_155))) :args (true _let_270)) (CONG _let_269 _let_268 _let_267 _let_266 (REFL :args _let_265) :args _let_60)) :args ((or _let_50 _let_264 _let_93 _let_263 _let_262))) _let_261 _let_84 _let_69 (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_175) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_114 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.m1_subset_1 C _let_86) false))))) :args _let_175)) (REORDERING (CNF_AND_POS :args (_let_95 1)) :args ((or _let_91 _let_99))) (REORDERING (CNF_AND_POS :args (_let_95 0)) :args ((or _let_94 _let_99))) (REORDERING (CNF_EQUIV_POS1 :args _let_174) :args ((or _let_144 _let_95 _let_173))) _let_142 (REORDERING (CNF_EQUIV_POS1 :args _let_172) :args ((or _let_168 _let_97 _let_171))) _let_148 (CNF_EQUIV_NEG2 :args _let_170) _let_169 :args (_let_168 false _let_28 false _let_27 false _let_165 false _let_150 false _let_166 false _let_167 false _let_39 false _let_54 false _let_41 true _let_43 true _let_151 false _let_28 false _let_27 false _let_152 false _let_155 false _let_163 false _let_164 false _let_39 false _let_41 true _let_43 true _let_157 true _let_158 false _let_159 true _let_161 true _let_47 true _let_49 false _let_155 false _let_28 false _let_27 false _let_154 false _let_91 true _let_93 false _let_95 false _let_98 false _let_97 false _let_143 true _let_51 true _let_53)))) (let ((_let_313 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_NEG1 :args _let_170) :args ((or _let_52 _let_51 _let_53))) _let_312 _let_169 :args (_let_51 true _let_52 true _let_53)))) (let ((_let_314 (not _let_51))) (let ((_let_315 (and _let_50 _let_27 _let_28 _let_155))) (let ((_let_316 (ASSUME :args _let_265))) (let ((_let_317 (_let_96))) (let ((_let_318 (_let_95))) (let ((_let_319 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_317)) :args _let_317)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_96) _let_91))) (REFL :args (_let_92)) :args _let_60)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_AND_NEG :args _let_318) (CONG (REFL :args _let_318) _let_267 (REFL :args _let_317) :args _let_60)) :args ((or _let_93 _let_95 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(_let_144 true _let_52 false _let_143)) _let_142 :args (_let_99 true _let_97 false _let_98)) :args (_let_96 true _let_93 true _let_95)) :args (_let_92 true _let_91)))) (let ((_let_320 (tptp.r2_hidden SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_202 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_321 (tptp.m1_subset_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_202 _let_48))) (let ((_let_322 (not _let_321))) (let ((_let_323 (or _let_322 _let_320 _let_33))) (let ((_let_324 (_let_47))) (let ((_let_325 (not _let_320))) (let ((_let_326 (not _let_85))) (let ((_let_327 (and _let_27 _let_28 _let_326))) (let ((_let_328 (ASSUME :args (_let_326)))) (let ((_let_329 (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_202)))) (let ((_let_330 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_89 0)) (CONG (REFL :args (_let_89)) (MACRO_SR_PRED_INTRO :args ((= (not _let_88) _let_87))) :args _let_60)) :args ((or _let_87 _let_89))) _let_319 :args (_let_87 true _let_89)))) (let ((_let_331 (and _let_155 _let_87))) (let ((_let_332 (ASSUME :args (_let_87)))) (let ((_let_333 (MACRO_RESOLUTION_TRUST (RESOLUTION (CNF_AND_NEG :args (_let_331)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_332 _let_274) (SCOPE (TRUE_ELIM (TRANS (CONG _let_329 _let_276 :args _let_292) (TRUE_INTRO _let_332))) :args (_let_87 _let_155))) :args (_let_155 _let_87))) :args (true _let_331)) _let_261 _let_330 :args (_let_321 false _let_155 false _let_87)))) (let ((_let_334 (or _let_43 _let_42 _let_40 _let_322 _let_35))) (let ((_let_335 (and _let_36 (= _let_30 (tptp.k7_lattices SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 (tptp.k6_filter_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_202)))))) (let ((_let_336 (or _let_43 _let_42 _let_55 _let_40 _let_322 _let_88 _let_335))) (let ((_let_337 (ASSUME :args (_let_33)))) (let ((_let_338 (ASSUME :args (_let_36)))) (let ((_let_339 (ASSUME :args (_let_35)))) (let ((_let_340 (ASSUME :args (_let_90)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_337 _let_338 _let_339 _let_279 _let_277 _let_340) :args (_let_27 _let_28 _let_90 _let_35 _let_36 _let_33)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (FALSE_INTRO _let_340)) (CONG (TRANS (CONG _let_310 (SYMM (SYMM _let_339)) :args _let_308) (SYMM (SYMM _let_338))) _let_299 :args _let_297) (TRUE_INTRO _let_337))) :args (_let_33 _let_36 _let_35 _let_28 _let_27 _let_90)) :args ((not (and _let_27 _let_28 _let_90 _let_35 _let_36 _let_33)) SB_LITERAL))) (CONG _let_269 _let_268 (MACRO_SR_PRED_INTRO :args ((= (not _let_90) _let_31))) (REFL :args ((not _let_35))) (REFL :args ((not _let_36))) (REFL :args ((not _let_33))) :args _let_60)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_335 0)) :args ((or _let_36 (not _let_335)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_336)) :args ((or _let_43 _let_42 _let_55 _let_40 _let_88 _let_322 _let_335 (not _let_336)))) _let_68 _let_66 _let_128 _let_65 _let_330 _let_333 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_301 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_202 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_202 QUANTIFIERS_INST_E_MATCHING (_let_304 (tptp.k7_lattices _let_303 BOUND_VARIABLE_2733)))) :args _let_302))) _let_301 :args (_let_336 false _let_300)) :args (_let_335 true _let_43 false _let_41 false _let_54 false _let_39 false _let_87 false _let_321 false _let_336)) :args (_let_36 false _let_335)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_334)) :args ((or _let_43 _let_42 _let_40 _let_322 _let_35 (not _let_334)))) _let_68 _let_66 _let_65 _let_333 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_287 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_202 QUANTIFIERS_INST_E_MATCHING _let_289)) :args _let_288)) _let_287 :args (_let_334 false _let_286)) :args (_let_35 true _let_43 false _let_41 false _let_39 false _let_321 false _let_334)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_323)) :args ((or _let_322 _let_320 _let_33 (not _let_323)))) _let_333 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_327)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_328 _let_277 _let_279) (SCOPE (FALSE_ELIM (TRANS (CONG _let_329 (TRANS _let_281 (SYMM _let_298)) :args _let_297) (FALSE_INTRO _let_328))) :args (_let_326 _let_27 _let_28))) :args (_let_27 _let_28 _let_326))) :args (true _let_327)) (CONG _let_269 _let_268 (MACRO_SR_PRED_INTRO :args ((= (not _let_326) _let_85))) (REFL :args (_let_325)) :args _let_60)) _let_69 _let_84 (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_89 1)) _let_319 :args (_let_326 true _let_89)) :args (_let_325 false _let_27 false _let_28 true _let_85)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_324) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_202 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.m1_subset_1 C _let_48) false))))) :args _let_324)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_51 1)) :args ((or _let_47 _let_314))) _let_313 :args (_let_47 false _let_51)) :args (_let_323 false _let_47)) :args (_let_33 false _let_321 true _let_320 false _let_323)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_89 2)) _let_319 :args (_let_90 true _let_89)) _let_84 _let_69 :args (false false _let_36 false _let_35 false _let_33 true _let_31 false _let_28 false _let_27)) :args (_let_24 _let_23 (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.r2_hidden A B) (not (tptp.r2_hidden B A)))) (forall ((A $$unsorted)) (=> (tptp.v1_xboole_0 A) (tptp.v1_funct_1 A))) _let_22 (forall ((A $$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)))))) (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)))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.v10_lattices A))) (let ((_let_2 (not (tptp.v3_struct_0 A)))) (=> (tptp.l3_lattices A) (=> (and _let_2 _let_1 (tptp.v11_lattices A)) (and _let_2 (tptp.v4_lattices A) (tptp.v5_lattices A) (tptp.v6_lattices A) (tptp.v7_lattices A) (tptp.v8_lattices A) (tptp.v9_lattices A) _let_1 (tptp.v12_lattices A))))))) _let_21 _let_20 (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 (tptp.k1_lattice2 A))) (= (tptp.k6_filter_2 A B) B))))) _let_19 (forall ((A $$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_18 _let_17 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.u1_struct_0 A))) (tptp.m1_subset_1 (tptp.k5_filter_2 A B) (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.u1_struct_0 (tptp.k1_lattice2 A)))) (tptp.m1_subset_1 (tptp.k6_filter_2 A B) (tptp.u1_struct_0 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 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)) (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 $$unsorted)) (=> (tptp.l1_lattices A) (tptp.l1_struct_0 A))) true (forall ((A $$unsorted)) (=> (tptp.l2_lattices A) (tptp.l1_struct_0 A))) _let_16 (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 $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_filter_2 B A) (and (not (tptp.v1_xboole_0 B)) (tptp.m2_lattice4 B A)))))) true true _let_15 _let_14 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.m2_relset_1 C A B) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.k2_zfmisc_1 A B))))) _let_13 true _let_12 (exists ((A $$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 $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A) (not (tptp.v1_xboole_0 B)) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (not (tptp.v1_xboole_0 (tptp.k7_filter_2 A B))))) _let_11 (forall ((A $$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 $$unsorted)) (not (tptp.v1_xboole_0 (tptp.k1_zfmisc_1 A)))) (tptp.v1_xboole_0 tptp.k1_xboole_0) _let_10 (forall ((A $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.k2_zfmisc_1 _let_1 _let_1))) (let ((_let_3 (tptp.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 $$unsorted)) (let ((_let_1 (tptp.g3_lattices A B C))) (let ((_let_2 (tptp.k2_zfmisc_1 A A))) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_2 A) (tptp.m1_relset_1 B _let_2 A) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 A) (tptp.m1_relset_1 C _let_2 A)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v3_lattices _let_1)))))) _let_9 _let_8 (forall ((A $$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))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k1_lattice2 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v3_lattices _let_1) (tptp.v4_lattices _let_1) (tptp.v5_lattices _let_1) (tptp.v6_lattices _let_1) (tptp.v7_lattices _let_1) (tptp.v8_lattices _let_1) (tptp.v9_lattices _let_1) (tptp.v10_lattices _let_1))))) _let_7 (exists ((A $$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))) (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))) (exists ((A $$unsorted)) (and (tptp.l3_lattices A) (not (tptp.v3_struct_0 A)) (tptp.v3_lattices A) (tptp.v4_lattices A) (tptp.v5_lattices A) (tptp.v6_lattices A) (tptp.v7_lattices A) (tptp.v8_lattices A) (tptp.v9_lattices A) (tptp.v10_lattices A) (tptp.v11_lattices A) (tptp.v13_lattices A) (tptp.v14_lattices A) (tptp.v15_lattices A) (tptp.v16_lattices A) (tptp.v17_lattices A))) (exists ((A $$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_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))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 A B) (or (tptp.v1_xboole_0 B) (tptp.r2_hidden A B)))) _let_3 (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 $$unsorted)) (=> (and (tptp.r2_hidden A B) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 C))) (tptp.m1_subset_1 A C))) _let_2 _let_1 (forall ((A $$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)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 32.54/32.85  )
% 32.54/32.85  % SZS output end Proof for LAT321+1
% 32.54/32.85  % cvc5---1.0.5 exiting
% 32.54/32.85  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------