%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : LAT317+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n020.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 06:03:58 EDT 2023

% Result   : Theorem 48.75s 49.01s
% Output   : Proof 48.75s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem    : LAT317+1 : TPTP v8.1.2. Released v3.4.0.
% 0.00/0.14  % Command    : do_cvc5 %s %d
% 0.14/0.35  % Computer : n020.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Thu Aug 24 09:28:45 EDT 2023
% 0.14/0.35  % CPUTime    : 
% 0.20/0.49  %----Proving TF0_NAR, FOF, or CNF
% 48.75/49.01  ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.GjJvWyDpe8/cvc5---1.0.5_9075.p...
% 48.75/49.01  ------- get file name : TPTP file name is LAT317+1
% 48.75/49.01  ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_9075.smt2...
% 48.75/49.01  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 48.75/49.01  --- Run --no-e-matching --full-saturate-quant at 5...
% 48.75/49.01  --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 5...
% 48.75/49.01  --- Run --finite-model-find --uf-ss=no-minimal at 5...
% 48.75/49.01  --- Run --multi-trigger-when-single --full-saturate-quant at 5...
% 48.75/49.01  --- Run --trigger-sel=max --full-saturate-quant at 5...
% 48.75/49.01  --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 5...
% 48.75/49.01  --- Run --multi-trigger-cache --full-saturate-quant at 5...
% 48.75/49.01  --- Run --prenex-quant=none --full-saturate-quant at 5...
% 48.75/49.01  % SZS status Theorem for LAT317+1
% 48.75/49.01  % SZS output start Proof for LAT317+1
% 48.75/49.01  (
% 48.75/49.01  (let ((_let_1 (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_filter_0 B A) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k5_filter_0 A B C))) (=> (tptp.m1_filter_0 C A) (and (tptp.r1_tarski B _let_1) (tptp.r1_tarski C _let_1))))))))))) (let ((_let_2 (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (forall ((C $$unsorted)) (=> (and (not (tptp.v1_xboole_0 C)) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (forall ((D $$unsorted)) (=> (and (not (tptp.v1_xboole_0 D)) (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 (tptp.k1_lattice2 A))))) (forall ((E $$unsorted)) (let ((_let_1 (tptp.k1_lattice2 A))) (let ((_let_2 (tptp.k8_filter_2 A E))) (let ((_let_3 (tptp.k8_filter_2 A D))) (let ((_let_4 (tptp.k7_filter_2 A C))) (let ((_let_5 (tptp.k7_filter_2 A B))) (=> (and (not (tptp.v1_xboole_0 E)) (tptp.m1_subset_1 E (tptp.k1_zfmisc_1 (tptp.u1_struct_0 _let_1)))) (and (= (tptp.k20_filter_2 A B C) (tptp.k5_filter_0 _let_1 _let_5 _let_4)) (= (tptp.k20_filter_2 _let_1 _let_5 _let_4) (tptp.k5_filter_0 A B C)) (= (tptp.k20_filter_2 _let_1 D E) (tptp.k5_filter_0 A _let_3 _let_2)) (= (tptp.k20_filter_2 A _let_3 _let_2) (tptp.k5_filter_0 _let_1 D E)))))))))))))))))))) (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.m1_filter_2 B A) (tptp.m1_filter_0 B A))))))) (let ((_let_4 (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_5 (forall ((A $$unsorted)) (let ((_let_1 (tptp.k1_lattice2 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v3_lattices _let_1) (tptp.v4_lattices _let_1) (tptp.v5_lattices _let_1) (tptp.v6_lattices _let_1) (tptp.v7_lattices _let_1) (tptp.v8_lattices _let_1) (tptp.v9_lattices _let_1) (tptp.v10_lattices _let_1))))))) (let ((_let_6 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A) (not (tptp.v1_xboole_0 B)) (tptp.m1_subset_1 B _let_1) (not (tptp.v1_xboole_0 C)) (tptp.m1_subset_1 C _let_1)) (not (tptp.v1_xboole_0 (tptp.k20_filter_2 A B C)))))))) (let ((_let_7 (forall ((A $$unsorted)) (let ((_let_1 (tptp.k1_lattice2 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l3_lattices A)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v3_lattices _let_1))))))) (let ((_let_8 (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m2_lattice4 B A) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))))))))) (let ((_let_9 (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m2_filter_2 B A) (and (not (tptp.v1_xboole_0 B)) (tptp.m2_lattice4 B A)))))))) (let ((_let_10 (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (tptp.m1_subset_1 (tptp.k7_filter_2 A B) (tptp.k1_zfmisc_1 (tptp.u1_struct_0 (tptp.k1_lattice2 A)))))))) (let ((_let_11 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A) (not (tptp.v1_xboole_0 B)) (tptp.m1_subset_1 B _let_1) (not (tptp.v1_xboole_0 C)) (tptp.m1_subset_1 C _let_1)) (tptp.m1_subset_1 (tptp.k20_filter_2 A B C) _let_1)))))) (let ((_let_12 (forall ((A $$unsorted)) (let ((_let_1 (tptp.k1_lattice2 A))) (=> (tptp.l3_lattices A) (and (tptp.v3_lattices _let_1) (tptp.l3_lattices _let_1))))))) (let ((_let_13 (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A) (tptp.m2_filter_2 B A)) (tptp.m1_filter_2 (tptp.k15_filter_2 A B) (tptp.k1_lattice2 A)))))) (let ((_let_14 (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 (tptp.k1_lattice2 A)))) (= (tptp.k8_filter_2 A B) B))))))) (let ((_let_15 (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (tptp.k7_filter_2 A B) B))))))) (let ((_let_16 (not (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m2_filter_2 B A) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k20_filter_2 A B C))) (=> (tptp.m2_filter_2 C A) (and (tptp.r1_tarski B _let_1) (tptp.r1_tarski C _let_1)))))))))))) (let ((_let_17 (tptp.k20_filter_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_19))) (let ((_let_18 (tptp.r1_tarski SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_19 _let_17))) (let ((_let_19 (tptp.r1_tarski SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18 _let_17))) (let ((_let_20 (and _let_19 _let_18))) (let ((_let_21 (tptp.m2_filter_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_19 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_22 (not _let_21))) (let ((_let_23 (or _let_22 _let_20))) (let ((_let_24 (forall ((C $$unsorted)) (let ((_let_1 (tptp.k20_filter_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18 C))) (or (not (tptp.m2_filter_2 C SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)) (and (tptp.r1_tarski SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18 _let_1) (tptp.r1_tarski C _let_1))))))) (let ((_let_25 (not _let_23))) (let ((_let_26 (tptp.m2_filter_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_27 (not _let_26))) (let ((_let_28 (or _let_27 _let_24))) (let ((_let_29 (not _let_24))) (let ((_let_30 (forall ((B $$unsorted)) (or (not (tptp.m2_filter_2 B SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k20_filter_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 B C))) (or (not (tptp.m2_filter_2 C SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)) (and (tptp.r1_tarski B _let_1) (tptp.r1_tarski C _let_1))))))))) (let ((_let_31 (not _let_28))) (let ((_let_32 (tptp.l3_lattices SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_33 (not _let_32))) (let ((_let_34 (tptp.v10_lattices SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_35 (not _let_34))) (let ((_let_36 (tptp.v3_struct_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_37 (or _let_36 _let_35 _let_33 _let_30))) (let ((_let_38 (not _let_30))) (let ((_let_39 (forall ((A $$unsorted)) (or (tptp.v3_struct_0 A) (not (tptp.v10_lattices A)) (not (tptp.l3_lattices A)) (forall ((B $$unsorted)) (or (not (tptp.m2_filter_2 B A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k20_filter_2 A B C))) (or (not (tptp.m2_filter_2 C A)) (and (tptp.r1_tarski B _let_1) (tptp.r1_tarski C _let_1))))))))))) (let ((_let_40 (not _let_37))) (let ((_let_41 (EQ_RESOLVE (ASSUME :args (_let_16)) (MACRO_SR_EQ_INTRO :args (_let_16 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_42 (or))) (let ((_let_43 (not _let_39))) (let ((_let_44 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_41) :args (_let_43))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_43) _let_39))) (REFL :args (_let_40)) :args _let_42)) _let_41 :args (_let_40 true _let_39)))) (let ((_let_45 (_let_38))) (let ((_let_46 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_45)) :args _let_45)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_38) _let_30))) (REFL :args (_let_31)) :args _let_42)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_37 3)) _let_44 :args (_let_38 true _let_37)) :args (_let_31 true _let_30)))) (let ((_let_47 (_let_29))) (let ((_let_48 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_47)) :args _let_47)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_29) _let_24))) (REFL :args (_let_25)) :args _let_42)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_28 1)) _let_46 :args (_let_29 true _let_28)) :args (_let_25 true _let_24)))) (let ((_let_49 (tptp.k15_filter_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_19))) (let ((_let_50 (tptp.k15_filter_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18))) (let ((_let_51 (tptp.k1_lattice2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_52 (tptp.k5_filter_0 _let_51 _let_50 _let_49))) (let ((_let_53 (tptp.r1_tarski _let_50 _let_52))) (let ((_let_54 (tptp.k8_filter_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_19))) (let ((_let_55 (tptp.k8_filter_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18))) (let ((_let_56 (= (tptp.k5_filter_0 _let_51 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_19) (tptp.k20_filter_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_55 _let_54)))) (let ((_let_57 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_19 _let_54))) (let ((_let_58 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18 _let_55))) (let ((_let_59 (tptp.k7_filter_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_19))) (let ((_let_60 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_19 _let_59))) (let ((_let_61 (tptp.k7_filter_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18))) (let ((_let_62 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18 _let_61))) (let ((_let_63 (= _let_49 _let_59))) (let ((_let_64 (= _let_50 _let_61))) (let ((_let_65 (tptp.r1_tarski _let_49 _let_52))) (let ((_let_66 (and _let_53 _let_65))) (let ((_let_67 (tptp.m1_filter_0 _let_49 _let_51))) (let ((_let_68 (not _let_67))) (let ((_let_69 (or _let_68 _let_66))) (let ((_let_70 (forall ((C $$unsorted)) (let ((_let_1 (tptp.k15_filter_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18))) (let ((_let_2 (tptp.k1_lattice2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_3 (tptp.k5_filter_0 _let_2 _let_1 C))) (or (not (tptp.m1_filter_0 C _let_2)) (and (tptp.r1_tarski _let_1 _let_3) (tptp.r1_tarski C _let_3))))))))) (let ((_let_71 (tptp.m1_filter_0 _let_50 _let_51))) (let ((_let_72 (not _let_71))) (let ((_let_73 (or _let_72 _let_70))) (let ((_let_74 (forall ((B $$unsorted)) (or (not (tptp.m1_filter_0 B (tptp.k1_lattice2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k1_lattice2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_2 (tptp.k5_filter_0 _let_1 B C))) (or (not (tptp.m1_filter_0 C _let_1)) (and (tptp.r1_tarski B _let_2) (tptp.r1_tarski C _let_2)))))))))) (let ((_let_75 (tptp.l3_lattices _let_51))) (let ((_let_76 (not _let_75))) (let ((_let_77 (tptp.v10_lattices _let_51))) (let ((_let_78 (not _let_77))) (let ((_let_79 (tptp.v3_struct_0 _let_51))) (let ((_let_80 (or _let_79 _let_78 _let_76 _let_74))) (let ((_let_81 (forall ((A $$unsorted)) (or (tptp.v3_struct_0 A) (not (tptp.v10_lattices A)) (not (tptp.l3_lattices A)) (forall ((B $$unsorted)) (or (not (tptp.m1_filter_0 B A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k5_filter_0 A B C))) (or (not (tptp.m1_filter_0 C A)) (and (tptp.r1_tarski B _let_1) (tptp.r1_tarski C _let_1))))))))))) (let ((_let_82 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_83 (tptp.v3_lattices _let_51))) (let ((_let_84 (and _let_83 _let_75))) (let ((_let_85 (or _let_33 _let_84))) (let ((_let_86 (forall ((A $$unsorted)) (let ((_let_1 (tptp.k1_lattice2 A))) (or (not (tptp.l3_lattices A)) (and (tptp.v3_lattices _let_1) (tptp.l3_lattices _let_1))))))) (let ((_let_87 (EQ_RESOLVE (ASSUME :args (_let_12)) (MACRO_SR_EQ_INTRO :args (_let_12 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_88 (REFL :args (_let_37)))) (let ((_let_89 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_37 2)) (CONG _let_88 (MACRO_SR_PRED_INTRO :args ((= (not _let_33) _let_32))) :args _let_42)) :args ((or _let_32 _let_37))) _let_44 :args (_let_32 true _let_37)))) (let ((_let_90 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_84 1)) :args ((or _let_75 (not _let_84)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_85)) :args ((or _let_33 _let_84 (not _let_85)))) _let_89 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_87 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.k1_lattice2 A)))) :args (_let_86))) _let_87 :args (_let_85 false _let_86)) :args (_let_84 false _let_32 false _let_85)) :args (_let_75 false _let_84)))) (let ((_let_91 (not _let_79))) (let ((_let_92 (and _let_91 _let_83 (tptp.v4_lattices _let_51) (tptp.v5_lattices _let_51) (tptp.v6_lattices _let_51) (tptp.v7_lattices _let_51) (tptp.v8_lattices _let_51) (tptp.v9_lattices _let_51) _let_77))) (let ((_let_93 (or _let_36 _let_35 _let_33 _let_92))) (let ((_let_94 (forall ((A $$unsorted)) (let ((_let_1 (tptp.k1_lattice2 A))) (or (tptp.v3_struct_0 A) (not (tptp.v10_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))))))) (let ((_let_95 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_96 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_37 1)) (CONG _let_88 (MACRO_SR_PRED_INTRO :args ((= (not _let_35) _let_34))) :args _let_42)) :args ((or _let_34 _let_37))) _let_44 :args (_let_34 true _let_37)))) (let ((_let_97 (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_37 0)) _let_44 :args ((not _let_36) true _let_37)))) (let ((_let_98 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_92 8)) :args ((or _let_77 (not _let_92)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_93)) :args ((or _let_36 _let_35 _let_33 _let_92 (not _let_93)))) _let_97 _let_96 _let_89 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_95 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.l3_lattices A) false))))) :args (_let_94))) _let_95 :args (_let_93 false _let_94)) :args (_let_92 true _let_36 false _let_34 false _let_32 false _let_93)) :args (_let_77 false _let_92)))) (let ((_let_99 (and _let_91 _let_83))) (let ((_let_100 (or _let_36 _let_33 _let_99))) (let ((_let_101 (forall ((A $$unsorted)) (let ((_let_1 (tptp.k1_lattice2 A))) (or (tptp.v3_struct_0 A) (not (tptp.l3_lattices A)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v3_lattices _let_1))))))) (let ((_let_102 (EQ_RESOLVE (ASSUME :args (_let_7)) (MACRO_SR_EQ_INTRO :args (_let_7 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_103 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_99 0)) :args ((or _let_91 (not _let_99)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_100)) :args ((or _let_36 _let_33 _let_99 (not _let_100)))) _let_97 _let_89 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_102 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.l3_lattices A) false))))) :args (_let_101))) _let_102 :args (_let_100 false _let_101)) :args (_let_99 true _let_36 false _let_32 false _let_100)) :args (_let_91 false _let_99)))) (let ((_let_104 (_let_74))) (let ((_let_105 (tptp.m1_filter_2 _let_50 _let_51))) (let ((_let_106 (= _let_105 _let_71))) (let ((_let_107 (forall ((B $$unsorted)) (let ((_let_1 (tptp.k1_lattice2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (= (tptp.m1_filter_2 B _let_1) (tptp.m1_filter_0 B _let_1)))))) (let ((_let_108 (or _let_79 _let_78 _let_76 _let_107))) (let ((_let_109 (forall ((A $$unsorted)) (or (tptp.v3_struct_0 A) (not (tptp.v10_lattices A)) (not (tptp.l3_lattices A)) (forall ((B $$unsorted)) (= (tptp.m1_filter_2 B A) (tptp.m1_filter_0 B A))))))) (let ((_let_110 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_111 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_108)) :args ((or _let_79 _let_78 _let_76 _let_107 (not _let_108)))) _let_103 _let_98 _let_90 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_110 :args (_let_51 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.v3_struct_0 A) true))))) :args (_let_109))) _let_110 :args (_let_108 false _let_109)) :args (_let_107 true _let_79 false _let_77 false _let_75 false _let_108)))) (let ((_let_112 (_let_107))) (let ((_let_113 ((tptp.m1_filter_2 B _let_51)))) (let ((_let_114 (ASSUME :args _let_112))) (let ((_let_115 (or _let_36 _let_35 _let_33 _let_27 _let_105))) (let ((_let_116 (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_117 (EQ_RESOLVE (ASSUME :args (_let_13)) (MACRO_SR_EQ_INTRO :args (_let_13 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_118 (_let_116))) (let ((_let_119 ((not (= (tptp.m2_filter_2 B A) false))))) (let ((_let_120 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_28 0)) (CONG (REFL :args (_let_28)) (MACRO_SR_PRED_INTRO :args ((= (not _let_27) _let_26))) :args _let_42)) :args ((or _let_26 _let_28))) _let_46 :args (_let_26 true _let_28)))) (let ((_let_121 (_let_70))) (let ((_let_122 (tptp.m1_filter_2 _let_49 _let_51))) (let ((_let_123 (= _let_122 _let_67))) (let ((_let_124 (or _let_36 _let_35 _let_33 _let_22 _let_122))) (let ((_let_125 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_23 0)) (CONG (REFL :args (_let_23)) (MACRO_SR_PRED_INTRO :args ((= (not _let_22) _let_21))) :args _let_42)) :args ((or _let_21 _let_23))) _let_48 :args (_let_21 true _let_23)))) (let ((_let_126 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_69)) :args ((or _let_68 _let_66 (not _let_69)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_123)) :args ((or (not _let_122) _let_67 (not _let_123)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_124)) :args ((or _let_36 _let_35 _let_33 _let_22 _let_122 (not _let_124)))) _let_97 _let_96 _let_89 _let_125 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_117 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_19 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_119)) :args _let_118)) _let_117 :args (_let_124 false _let_116)) :args (_let_122 true _let_36 false _let_34 false _let_32 false _let_21 false _let_124)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_114 :args (_let_49 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_113)) :args _let_112)) _let_111 :args (_let_123 false _let_107)) :args (_let_67 false _let_122 false _let_123)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_121) :args (_let_49 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_121)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_73)) :args ((or _let_72 _let_70 (not _let_73)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_106)) :args ((or (not _let_105) _let_71 (not _let_106)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_115)) :args ((or _let_36 _let_35 _let_33 _let_27 _let_105 (not _let_115)))) _let_97 _let_96 _let_89 _let_120 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_117 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_119)) :args _let_118)) _let_117 :args (_let_115 false _let_116)) :args (_let_105 true _let_36 false _let_34 false _let_32 false _let_26 false _let_115)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_114 :args (_let_50 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_113)) :args _let_112)) _let_111 :args (_let_106 false _let_107)) :args (_let_71 false _let_105 false _let_106)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_104) :args (_let_50 QUANTIFIERS_INST_CBQI_PROP)) :args _let_104)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_80)) :args ((or _let_79 _let_78 _let_76 _let_74 (not _let_80)))) _let_103 _let_98 _let_90 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_82 :args (_let_51 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.v3_struct_0 A) true))))) :args (_let_81))) _let_82 :args (_let_80 false _let_81)) :args (_let_74 true _let_79 false _let_77 false _let_75 false _let_80)) :args (_let_73 false _let_74)) :args (_let_70 false _let_71 false _let_73)) :args (_let_69 false _let_70)) :args (_let_66 false _let_67 false _let_69)))) (let ((_let_127 (not _let_66))) (let ((_let_128 (tptp.k7_filter_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_17))) (let ((_let_129 (and (= (tptp.k20_filter_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_17 _let_17) (tptp.k5_filter_0 _let_51 _let_128 _let_128)) (= (tptp.k5_filter_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_17 _let_17) (tptp.k20_filter_2 _let_51 _let_128 _let_128)) (= (tptp.k20_filter_2 _let_51 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_19) (tptp.k5_filter_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_55 _let_54)) _let_56))) (let ((_let_130 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 _let_51)))) (let ((_let_131 (tptp.m1_subset_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_19 _let_130))) (let ((_let_132 (not _let_131))) (let ((_let_133 (tptp.v1_xboole_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_19))) (let ((_let_134 (or _let_133 _let_132 _let_129))) (let ((_let_135 (forall ((E $$unsorted)) (let ((_let_1 (tptp.k1_lattice2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_2 (tptp.k8_filter_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 E))) (let ((_let_3 (tptp.k8_filter_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18))) (let ((_let_4 (tptp.k20_filter_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_19))) (let ((_let_5 (tptp.k7_filter_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_4))) (or (tptp.v1_xboole_0 E) (not (tptp.m1_subset_1 E (tptp.k1_zfmisc_1 (tptp.u1_struct_0 _let_1)))) (and (= (tptp.k20_filter_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_4 _let_4) (tptp.k5_filter_0 _let_1 _let_5 _let_5)) (= (tptp.k5_filter_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_4 _let_4) (tptp.k20_filter_2 _let_1 _let_5 _let_5)) (= (tptp.k20_filter_2 _let_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18 E) (tptp.k5_filter_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_3 _let_2)) (= (tptp.k20_filter_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_3 _let_2) (tptp.k5_filter_0 _let_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18 E)))))))))))) (let ((_let_136 (tptp.m1_subset_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18 _let_130))) (let ((_let_137 (not _let_136))) (let ((_let_138 (tptp.v1_xboole_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18))) (let ((_let_139 (or _let_138 _let_137 _let_135))) (let ((_let_140 (forall ((D $$unsorted)) (or (tptp.v1_xboole_0 D) (not (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 (tptp.k1_lattice2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))))) (forall ((E $$unsorted)) (let ((_let_1 (tptp.k1_lattice2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_2 (tptp.k8_filter_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 E))) (let ((_let_3 (tptp.k8_filter_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 D))) (let ((_let_4 (tptp.k20_filter_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_19))) (let ((_let_5 (tptp.k7_filter_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_4))) (or (tptp.v1_xboole_0 E) (not (tptp.m1_subset_1 E (tptp.k1_zfmisc_1 (tptp.u1_struct_0 _let_1)))) (and (= (tptp.k20_filter_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_4 _let_4) (tptp.k5_filter_0 _let_1 _let_5 _let_5)) (= (tptp.k5_filter_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_4 _let_4) (tptp.k20_filter_2 _let_1 _let_5 _let_5)) (= (tptp.k20_filter_2 _let_1 D E) (tptp.k5_filter_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_3 _let_2)) (= (tptp.k20_filter_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_3 _let_2) (tptp.k5_filter_0 _let_1 D E)))))))))))))) (let ((_let_141 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))) (let ((_let_142 (tptp.m1_subset_1 _let_17 _let_141))) (let ((_let_143 (not _let_142))) (let ((_let_144 (tptp.v1_xboole_0 _let_17))) (let ((_let_145 (or _let_144 _let_143 _let_140))) (let ((_let_146 (forall ((C $$unsorted)) (or (tptp.v1_xboole_0 C) (not (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))) (forall ((D $$unsorted)) (or (tptp.v1_xboole_0 D) (not (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 (tptp.k1_lattice2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))))) (forall ((E $$unsorted)) (let ((_let_1 (tptp.k1_lattice2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_2 (tptp.k8_filter_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 E))) (let ((_let_3 (tptp.k8_filter_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 D))) (let ((_let_4 (tptp.k20_filter_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_19))) (let ((_let_5 (tptp.k7_filter_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 C))) (let ((_let_6 (tptp.k7_filter_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_4))) (or (tptp.v1_xboole_0 E) (not (tptp.m1_subset_1 E (tptp.k1_zfmisc_1 (tptp.u1_struct_0 _let_1)))) (and (= (tptp.k20_filter_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_4 C) (tptp.k5_filter_0 _let_1 _let_6 _let_5)) (= (tptp.k20_filter_2 _let_1 _let_6 _let_5) (tptp.k5_filter_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_4 C)) (= (tptp.k20_filter_2 _let_1 D E) (tptp.k5_filter_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_3 _let_2)) (= (tptp.k20_filter_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_3 _let_2) (tptp.k5_filter_0 _let_1 D E))))))))))))))))) (let ((_let_147 (or _let_144 _let_143 _let_146))) (let ((_let_148 (forall ((B $$unsorted)) (or (tptp.v1_xboole_0 B) (not (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))) (forall ((C $$unsorted)) (or (tptp.v1_xboole_0 C) (not (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))) (forall ((D $$unsorted)) (or (tptp.v1_xboole_0 D) (not (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 (tptp.k1_lattice2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))))) (forall ((E $$unsorted)) (let ((_let_1 (tptp.k1_lattice2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_2 (tptp.k8_filter_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 E))) (let ((_let_3 (tptp.k8_filter_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 D))) (let ((_let_4 (tptp.k7_filter_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 C))) (let ((_let_5 (tptp.k7_filter_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 B))) (or (tptp.v1_xboole_0 E) (not (tptp.m1_subset_1 E (tptp.k1_zfmisc_1 (tptp.u1_struct_0 _let_1)))) (and (= (tptp.k20_filter_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 B C) (tptp.k5_filter_0 _let_1 _let_5 _let_4)) (= (tptp.k20_filter_2 _let_1 _let_5 _let_4) (tptp.k5_filter_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 B C)) (= (tptp.k20_filter_2 _let_1 D E) (tptp.k5_filter_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_3 _let_2)) (= (tptp.k20_filter_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_3 _let_2) (tptp.k5_filter_0 _let_1 D E)))))))))))))))))) (let ((_let_149 (or _let_36 _let_35 _let_33 _let_148))) (let ((_let_150 (forall ((A $$unsorted)) (or (tptp.v3_struct_0 A) (not (tptp.v10_lattices A)) (not (tptp.l3_lattices A)) (forall ((B $$unsorted)) (or (tptp.v1_xboole_0 B) (not (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (forall ((C $$unsorted)) (or (tptp.v1_xboole_0 C) (not (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (forall ((D $$unsorted)) (or (tptp.v1_xboole_0 D) (not (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 (tptp.k1_lattice2 A))))) (forall ((E $$unsorted)) (let ((_let_1 (tptp.k1_lattice2 A))) (let ((_let_2 (tptp.k8_filter_2 A E))) (let ((_let_3 (tptp.k8_filter_2 A D))) (let ((_let_4 (tptp.k7_filter_2 A C))) (let ((_let_5 (tptp.k7_filter_2 A B))) (or (tptp.v1_xboole_0 E) (not (tptp.m1_subset_1 E (tptp.k1_zfmisc_1 (tptp.u1_struct_0 _let_1)))) (and (= (tptp.k20_filter_2 A B C) (tptp.k5_filter_0 _let_1 _let_5 _let_4)) (= (tptp.k20_filter_2 _let_1 _let_5 _let_4) (tptp.k5_filter_0 A B C)) (= (tptp.k20_filter_2 _let_1 D E) (tptp.k5_filter_0 A _let_3 _let_2)) (= (tptp.k20_filter_2 A _let_3 _let_2) (tptp.k5_filter_0 _let_1 D E)))))))))))))))))))) (let ((_let_151 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_152 (_let_148))) (let ((_let_153 (tptp.m1_subset_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_19 _let_141))) (let ((_let_154 (not _let_153))) (let ((_let_155 (tptp.m1_subset_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18 _let_141))) (let ((_let_156 (not _let_155))) (let ((_let_157 (or _let_36 _let_35 _let_33 _let_138 _let_156 _let_133 _let_154 _let_142))) (let ((_let_158 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (or (tptp.v3_struct_0 A) (not (tptp.v10_lattices A)) (not (tptp.l3_lattices A)) (tptp.v1_xboole_0 B) (not (tptp.m1_subset_1 B _let_1)) (tptp.v1_xboole_0 C) (not (tptp.m1_subset_1 C _let_1)) (tptp.m1_subset_1 (tptp.k20_filter_2 A B C) _let_1)))))) (let ((_let_159 (EQ_RESOLVE (ASSUME :args (_let_11)) (MACRO_SR_EQ_INTRO :args (_let_11 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_160 (tptp.m2_lattice4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_19 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_161 (not _let_160))) (let ((_let_162 (or _let_161 _let_153))) (let ((_let_163 (forall ((B $$unsorted)) (or (not (tptp.m2_lattice4 B SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))))))) (let ((_let_164 (or _let_36 _let_35 _let_33 _let_163))) (let ((_let_165 (forall ((A $$unsorted)) (or (tptp.v3_struct_0 A) (not (tptp.v10_lattices A)) (not (tptp.l3_lattices A)) (forall ((B $$unsorted)) (or (not (tptp.m2_lattice4 B A)) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))))))))) (let ((_let_166 (EQ_RESOLVE (ASSUME :args (_let_8)) (MACRO_SR_EQ_INTRO :args (_let_8 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_167 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_164)) :args ((or _let_36 _let_35 _let_33 _let_163 (not _let_164)))) _let_97 _let_96 _let_89 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_166 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.v3_struct_0 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((_let_274 (TRANS (CONG (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)) (SYMM (SYMM _let_273)) (SYMM (SYMM _let_272)) :args (APPLY_UF tptp.k20_filter_2)) (SYMM _let_271) (CONG (REFL :args (_let_51)) _let_270 _let_268 :args (APPLY_UF tptp.k5_filter_0))))) (let ((_let_275 (and _let_64 _let_63 _let_62 _let_60 _let_58 _let_57 _let_56 _let_65))) (let ((_let_276 (ASSUME :args (_let_65)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (CNF_AND_NEG :args (_let_20)) (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_275)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_276 _let_267 _let_233 _let_269 _let_223 _let_271 _let_273 _let_272) (SCOPE (TRUE_ELIM (TRANS (CONG _let_268 _let_274 :args _let_266) (TRUE_INTRO _let_276))) :args (_let_65 _let_63 _let_60 _let_64 _let_62 _let_56 _let_58 _let_57))) :args (_let_64 _let_63 _let_62 _let_60 _let_58 _let_57 _let_56 _let_65))) :args (true _let_275)) :args ((or _let_18 _let_263 _let_262 _let_261 _let_260 _let_259 _let_258 _let_257 (not 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(CNF_AND_POS :args (_let_66 0)) :args ((or _let_53 _let_127))) _let_126 :args (_let_53 false _let_66)) :args (_let_19 false _let_64 false _let_63 false _let_62 false _let_60 false _let_58 false _let_57 false _let_56 false _let_53)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_23 1)) _let_48 :args ((not _let_20) true _let_23)) :args (false false _let_18 false _let_19 true _let_20)) :args (_let_16 (forall ((A $$unsorted)) (=> (tptp.l3_lattices A) (=> (tptp.v3_lattices A) (= A (tptp.g3_lattices (tptp.u1_struct_0 A) (tptp.u2_lattices A) (tptp.u1_lattices A)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.r2_hidden A B) (not (tptp.r2_hidden B A)))) (forall ((A $$unsorted)) (=> (tptp.v1_xboole_0 A) (tptp.v1_funct_1 A))) (forall ((A $$unsorted)) (let ((_let_1 (not (tptp.v3_struct_0 A)))) (=> (tptp.l3_lattices A) (=> (and _let_1 (tptp.v10_lattices A)) (and _let_1 (tptp.v4_lattices A) (tptp.v5_lattices A) (tptp.v6_lattices A) (tptp.v7_lattices A) (tptp.v8_lattices A) (tptp.v9_lattices A)))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_realset1 A)) (not (tptp.v1_xboole_0 A)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.k2_zfmisc_1 A B))) (tptp.v1_relat_1 C))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.v1_funct_1 A))) (let ((_let_2 (tptp.v1_relat_1 A))) (=> (and _let_2 (tptp.v1_xboole_0 A) _let_1) (and _let_2 _let_1 (tptp.v2_funct_1 A)))))) (forall ((A $$unsorted)) (let ((_let_1 (not (tptp.v3_struct_0 A)))) (=> (tptp.l3_lattices A) (=> (and _let_1 (tptp.v4_lattices A) (tptp.v5_lattices A) (tptp.v6_lattices A) (tptp.v7_lattices A) (tptp.v8_lattices A) (tptp.v9_lattices A)) (and _let_1 (tptp.v10_lattices A)))))) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.k2_tarski A B) (tptp.k2_tarski B A))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_lattices A) (tptp.l2_lattices A) (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (= (tptp.k3_lattices A B C) (tptp.k3_lattices A C B))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v6_lattices A) (tptp.l1_lattices A) (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (= (tptp.k4_lattices A B C) (tptp.k4_lattices A C B))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (forall ((C $$unsorted)) (=> (and (not (tptp.v1_xboole_0 C)) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (= (tptp.k20_filter_2 A B C) (tptp.a_3_0_filter_2 A B C)))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted) (C $$unsorted)) (= (tptp.k1_binop_1 A B C) (tptp.k1_funct_1 A (tptp.k4_tarski B C)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l2_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 C _let_1) (= (tptp.k1_lattices A B C) (tptp.k2_binop_1 _let_1 _let_1 _let_1 (tptp.u2_lattices A) B C))))))))) (forall ((A $$unsorted)) (=> (tptp.l3_lattices A) (= (tptp.k1_lattice2 A) (tptp.g3_lattices (tptp.u1_struct_0 A) (tptp.u1_lattices A) (tptp.u2_lattices A))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 C _let_1) (= (tptp.k2_lattices A B C) (tptp.k2_binop_1 _let_1 _let_1 _let_1 (tptp.u1_lattices A) B C))))))))) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.k4_tarski A B) (tptp.k2_tarski (tptp.k2_tarski A B) (tptp.k1_tarski A)))) _let_15 _let_14 (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (forall ((C $$unsorted)) (=> (and (not (tptp.v1_xboole_0 C)) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (= (tptp.k5_filter_0 A B C) (tptp.a_3_0_filter_0 A B C)))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.g3_lattices A B C))) (let ((_let_2 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_2 A) (tptp.m1_relset_1 B _let_2 A) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 A) (tptp.m1_relset_1 C _let_2 A)) (and (tptp.v3_lattices _let_1) (tptp.l3_lattices _let_1)))))) _let_13 true true _let_12 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l2_lattices A) (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (tptp.m1_subset_1 (tptp.k1_lattices A B C) _let_1)))) true true true _let_11 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A B))) (=> (and (not (tptp.v1_xboole_0 A)) (not (tptp.v1_xboole_0 B)) (tptp.v1_funct_1 D) (tptp.v1_funct_2 D _let_1 C) (tptp.m1_relset_1 D _let_1 C) (tptp.m1_subset_1 E A) (tptp.m1_subset_1 F B)) (tptp.m1_subset_1 (tptp.k2_binop_1 A B C D E F) C)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_lattices A) (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (tptp.m1_subset_1 (tptp.k2_lattices A B C) _let_1)))) true true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_lattices A) (tptp.l2_lattices A) (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (tptp.m1_subset_1 (tptp.k3_lattices A B C) _let_1)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v6_lattices A) (tptp.l1_lattices A) (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (tptp.m1_subset_1 (tptp.k4_lattices A B C) _let_1)))) true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A) (not (tptp.v1_xboole_0 B)) (tptp.m1_subset_1 B _let_1) (not (tptp.v1_xboole_0 C)) (tptp.m1_subset_1 C _let_1)) (tptp.m1_subset_1 (tptp.k5_filter_0 A B C) _let_1)))) _let_10 (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))) (forall ((A $$unsorted)) (=> (tptp.l3_lattices A) (and (tptp.l1_lattices A) (tptp.l2_lattices A)))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_filter_0 B A) (and (not (tptp.v1_xboole_0 B)) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_filter_2 B A) (and (not (tptp.v1_xboole_0 B)) (tptp.m2_lattice4 B A)))))) true true _let_9 _let_8 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.m2_relset_1 C A B) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.k2_zfmisc_1 A B))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.k2_zfmisc_1 _let_1 _let_1))) (let ((_let_3 (tptp.u1_lattices A))) (=> (tptp.l1_lattices A) (and (tptp.v1_funct_1 _let_3) (tptp.v1_funct_2 _let_3 _let_2 _let_1) (tptp.m2_relset_1 _let_3 _let_2 _let_1))))))) true (forall ((A $$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))))))) (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) (C $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A) (not (tptp.v1_xboole_0 B)) (tptp.m1_subset_1 B _let_1) (not (tptp.v1_xboole_0 C)) (tptp.m1_subset_1 C _let_1)) (not (tptp.v1_xboole_0 (tptp.k5_filter_0 A B C)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A) (not (tptp.v1_xboole_0 B)) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (not (tptp.v1_xboole_0 (tptp.k7_filter_2 A B))))) _let_7 (forall ((A $$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 $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A) (not (tptp.v1_xboole_0 B)) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 (tptp.k1_lattice2 A))))) (not (tptp.v1_xboole_0 (tptp.k8_filter_2 A B))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.k2_zfmisc_1 _let_1 _let_1))) (let ((_let_3 (tptp.u2_lattices A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_lattices A) (tptp.l2_lattices A)) (and (tptp.v1_relat_1 _let_3) (tptp.v1_funct_1 _let_3) (tptp.v1_funct_2 _let_3 _let_2 _let_1) (tptp.v1_binop_1 _let_3 _let_1) (tptp.v1_partfun1 _let_3 _let_2 _let_1))))))) (forall ((A $$unsorted)) (not (tptp.v1_xboole_0 (tptp.k1_tarski A)))) _let_6 (forall ((A $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.k2_zfmisc_1 _let_1 _let_1))) (let ((_let_3 (tptp.u2_lattices A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v5_lattices A) (tptp.l2_lattices A)) (and (tptp.v1_relat_1 _let_3) (tptp.v1_funct_1 _let_3) (tptp.v1_funct_2 _let_3 _let_2 _let_1) (tptp.v2_binop_1 _let_3 _let_1) (tptp.v1_partfun1 _let_3 _let_2 _let_1))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.g3_lattices A B C))) (let ((_let_2 (tptp.k2_zfmisc_1 A A))) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_2 A) (tptp.m1_relset_1 B _let_2 A) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 A) (tptp.m1_relset_1 C _let_2 A)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v3_lattices _let_1)))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k1_tarski A))) (and (not (tptp.v1_xboole_0 _let_1)) (tptp.v1_finset_1 _let_1) (tptp.v1_realset1 _let_1)))) (forall ((A $$unsorted) (B $$unsorted)) (not (tptp.v1_xboole_0 (tptp.k2_tarski A B)))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.k2_zfmisc_1 _let_1 _let_1))) (let ((_let_3 (tptp.u1_lattices A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v6_lattices A) (tptp.l1_lattices A)) (and (tptp.v1_relat_1 _let_3) (tptp.v1_funct_1 _let_3) (tptp.v1_funct_2 _let_3 _let_2 _let_1) (tptp.v1_binop_1 _let_3 _let_1) (tptp.v1_partfun1 _let_3 _let_2 _let_1))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (not (tptp.v1_xboole_0 B))) (not (tptp.v1_xboole_0 (tptp.k2_zfmisc_1 A B))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.k2_zfmisc_1 _let_1 _let_1))) (let ((_let_3 (tptp.u1_lattices A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v7_lattices A) (tptp.l1_lattices A)) (and (tptp.v1_relat_1 _let_3) (tptp.v1_funct_1 _let_3) (tptp.v1_funct_2 _let_3 _let_2 _let_1) (tptp.v2_binop_1 _let_3 _let_1) (tptp.v1_partfun1 _let_3 _let_2 _let_1))))))) _let_5 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B)))) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v10_lattices B) (tptp.l3_lattices B) (not (tptp.v1_xboole_0 C)) (tptp.m1_subset_1 C _let_1) (not (tptp.v1_xboole_0 D)) (tptp.m1_subset_1 D _let_1)) (= (tptp.r2_hidden A (tptp.a_3_0_filter_0 B C D)) (exists ((E $$unsorted) (F $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (and (tptp.m1_subset_1 E _let_1) (tptp.m1_subset_1 F _let_1) (= A (tptp.k4_lattices B E F)) (tptp.r2_hidden E C) (tptp.r2_hidden F D)))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B)))) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v10_lattices B) (tptp.l3_lattices B) (not (tptp.v1_xboole_0 C)) (tptp.m1_subset_1 C _let_1) (not (tptp.v1_xboole_0 D)) (tptp.m1_subset_1 D _let_1)) (= (tptp.r2_hidden A (tptp.a_3_0_filter_2 B C D)) (exists ((E $$unsorted) (F $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (and (tptp.m1_subset_1 E _let_1) (tptp.m1_subset_1 F _let_1) (= A (tptp.k3_lattices B E F)) (tptp.r2_hidden E C) (tptp.r2_hidden F D)))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_1 A) (tptp.m1_relset_1 B _let_1 A) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_1 A) (tptp.m1_relset_1 C _let_1 A)) (forall ((D $$unsorted) (E $$unsorted) (F $$unsorted)) (=> (= (tptp.g3_lattices A B C) (tptp.g3_lattices D E F)) (and (= A D) (= B E) (= C F))))))) (exists ((A $$unsorted)) (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (exists ((B $$unsorted)) (and (tptp.m2_lattice4 B A) (not (tptp.v1_xboole_0 B)))))) (exists ((A $$unsorted)) (and (not (tptp.v1_xboole_0 A)) (tptp.v1_realset1 A))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (exists ((B $$unsorted)) (and (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (not (tptp.v1_xboole_0 B)))))) (exists ((A $$unsorted)) (tptp.v1_xboole_0 A)) (exists ((A $$unsorted)) (and (tptp.v1_relat_1 A) (tptp.v1_xboole_0 A) (tptp.v1_funct_1 A))) (exists ((A $$unsorted)) (and (not (tptp.v1_xboole_0 A)) (not (tptp.v1_realset1 A)))) (forall ((A $$unsorted)) (exists ((B $$unsorted)) (and (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (tptp.v1_xboole_0 B)))) (exists ((A $$unsorted)) (not (tptp.v1_xboole_0 A))) (exists ((A $$unsorted)) (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v2_funct_1 A))) (exists ((A $$unsorted)) (and (tptp.l3_lattices A) (tptp.v3_lattices A))) (exists ((A $$unsorted)) (and (tptp.l1_struct_0 A) (not (tptp.v3_struct_0 A)))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_struct_0 A)) (exists ((B $$unsorted)) (and (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (not (tptp.v1_xboole_0 B)))))) (exists ((A $$unsorted)) (and (tptp.l3_lattices A) (not (tptp.v3_struct_0 A)) (tptp.v3_lattices A))) (exists ((A $$unsorted)) (and (tptp.l3_lattices A) (not (tptp.v3_struct_0 A)) (tptp.v3_lattices A) (tptp.v4_lattices A) (tptp.v5_lattices A) (tptp.v6_lattices A) (tptp.v7_lattices A) (tptp.v8_lattices A) (tptp.v9_lattices A) (tptp.v10_lattices A))) _let_4 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A B))) (=> (and (not (tptp.v1_xboole_0 A)) (not (tptp.v1_xboole_0 B)) (tptp.v1_funct_1 D) (tptp.v1_funct_2 D _let_1 C) (tptp.m1_relset_1 D _let_1 C) (tptp.m1_subset_1 E A) (tptp.m1_subset_1 F B)) (= (tptp.k2_binop_1 A B C D E F) (tptp.k1_binop_1 D E F))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_lattices A) (tptp.l2_lattices A) (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (= (tptp.k3_lattices A B C) (tptp.k1_lattices A B C))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v6_lattices A) (tptp.l1_lattices A) (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (= (tptp.k4_lattices A B C) (tptp.k2_lattices A B C))))) _let_3 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.m2_relset_1 C A B) (tptp.m1_relset_1 C A B))) (forall ((A $$unsorted) (B $$unsorted)) (tptp.r1_tarski A A)) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.r2_hidden A B) (tptp.m1_subset_1 A B))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 A B) (or (tptp.v1_xboole_0 B) (tptp.r2_hidden A B)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (forall ((C $$unsorted)) (= (tptp.r2_hidden C A) (tptp.r2_hidden C B))) (= A B))) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.m1_subset_1 A (tptp.k1_zfmisc_1 B)) (tptp.r1_tarski A B))) _let_2 _let_1 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.r2_hidden A B) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 C))) (tptp.m1_subset_1 A C))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (not (and (tptp.r2_hidden A B) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 C)) (tptp.v1_xboole_0 C)))) (forall ((A $$unsorted)) (=> (tptp.v1_xboole_0 A) (= A tptp.k1_xboole_0))) (forall ((A $$unsorted) (B $$unsorted)) (not (and (tptp.r2_hidden A B) (tptp.v1_xboole_0 B)))) (forall ((A $$unsorted) (B $$unsorted)) (not (and (tptp.v1_xboole_0 A) (not (= A B)) (tptp.v1_xboole_0 B)))) true)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 48.75/49.03  )
% 48.75/49.03  % SZS output end Proof for LAT317+1
% 48.75/49.03  % cvc5---1.0.5 exiting
% 48.75/49.03  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------