%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : LAT315+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n022.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 06:03:57 EDT 2023

% Result   : Theorem 48.63s 48.82s
% Output   : Proof 48.63s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem    : LAT315+1 : TPTP v8.1.2. Released v3.4.0.
% 0.00/0.15  % Command    : do_cvc5 %s %d
% 0.15/0.35  % Computer : n022.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit   : 300
% 0.15/0.35  % WCLimit    : 300
% 0.15/0.35  % DateTime   : Thu Aug 24 07:48:26 EDT 2023
% 0.15/0.35  % CPUTime    : 
% 0.21/0.49  %----Proving TF0_NAR, FOF, or CNF
% 48.63/48.82  ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.gMUdRSqzgd/cvc5---1.0.5_27582.p...
% 48.63/48.82  ------- get file name : TPTP file name is LAT315+1
% 48.63/48.82  ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_27582.smt2...
% 48.63/48.82  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 48.63/48.82  --- Run --no-e-matching --full-saturate-quant at 5...
% 48.63/48.82  --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 5...
% 48.63/48.82  --- Run --finite-model-find --uf-ss=no-minimal at 5...
% 48.63/48.82  --- Run --multi-trigger-when-single --full-saturate-quant at 5...
% 48.63/48.82  --- Run --trigger-sel=max --full-saturate-quant at 5...
% 48.63/48.82  --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 5...
% 48.63/48.82  --- Run --multi-trigger-cache --full-saturate-quant at 5...
% 48.63/48.82  --- Run --prenex-quant=none --full-saturate-quant at 5...
% 48.63/48.82  % SZS status Theorem for LAT315+1
% 48.63/48.82  % SZS output start Proof for LAT315+1
% 48.63/48.82  (
% 48.63/48.82  (let ((_let_1 (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.k3_filter_0 A (tptp.k4_subset_1 _let_1 B C)))) (=> (and (not (tptp.v1_xboole_0 C)) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 _let_1))) (and (= _let_2 (tptp.k3_filter_0 A (tptp.k4_subset_1 _let_1 (tptp.k3_filter_0 A B) C))) (= _let_2 (tptp.k3_filter_0 A (tptp.k4_subset_1 _let_1 B (tptp.k3_filter_0 A C))))))))))))))) (let ((_let_2 (forall ((A $$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)) (let ((_let_1 (tptp.k8_filter_2 A C))) (let ((_let_2 (tptp.k1_lattice2 A))) (let ((_let_3 (tptp.k7_filter_2 A B))) (=> (and (not (tptp.v1_xboole_0 C)) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 _let_2)))) (and (= (tptp.k3_filter_2 _let_2 _let_3) (tptp.k19_filter_2 A B)) (= (tptp.k3_filter_2 A B) (tptp.k19_filter_2 _let_2 _let_3)) (= (tptp.k3_filter_2 A _let_1) (tptp.k19_filter_2 _let_2 C)) (= (tptp.k3_filter_2 _let_2 C) (tptp.k19_filter_2 A _let_1)))))))))))))) (let ((_let_3 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 A))) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (= (tptp.r1_filter_2 A B C) (= B C))))))) (let ((_let_4 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.m2_relset_1 C A B) (tptp.m1_relset_1 C A B))))) (let ((_let_5 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 A))) (=> (and (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (= (tptp.k4_subset_1 A B C) (tptp.k2_xboole_0 B C))))))) (let ((_let_6 (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A) (not (tptp.v1_xboole_0 B)) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (= (tptp.k3_filter_2 A B) (tptp.k3_filter_0 A B)))))) (let ((_let_7 (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_struct_0 A)) (exists ((B $$unsorted)) (and (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (not (tptp.v1_xboole_0 B)))))))) (let ((_let_8 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_1 A) (tptp.m1_relset_1 B _let_1 A) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_1 A) (tptp.m1_relset_1 C _let_1 A)) (forall ((D $$unsorted) (E $$unsorted) (F $$unsorted)) (=> (= (tptp.g3_lattices A B C) (tptp.g3_lattices D E F)) (and (= A D) (= B E) (= C F))))))))) (let ((_let_9 (forall ((A $$unsorted)) (let ((_let_1 (tptp.k1_lattice2 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v3_lattices _let_1) (tptp.v4_lattices _let_1) (tptp.v5_lattices _let_1) (tptp.v6_lattices _let_1) (tptp.v7_lattices _let_1) (tptp.v8_lattices _let_1) (tptp.v9_lattices _let_1) (tptp.v10_lattices _let_1))))))) (let ((_let_10 (forall ((A $$unsorted) (B $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (not (tptp.v1_xboole_0 (tptp.k2_xboole_0 B A))))))) (let ((_let_11 (forall ((A $$unsorted) (B $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (not (tptp.v1_xboole_0 (tptp.k2_xboole_0 A B))))))) (let ((_let_12 (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_struct_0 A)) (not (tptp.v1_xboole_0 (tptp.u1_struct_0 A))))))) (let ((_let_13 (forall ((A $$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_14 (forall ((A $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.k2_zfmisc_1 _let_1 _let_1))) (let ((_let_3 (tptp.u2_lattices A))) (=> (tptp.l2_lattices A) (and (tptp.v1_funct_1 _let_3) (tptp.v1_funct_2 _let_3 _let_2 _let_1) (tptp.m2_relset_1 _let_3 _let_2 _let_1))))))))) (let ((_let_15 (forall ((A $$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_16 (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_17 (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_18 (forall ((A $$unsorted)) (=> (tptp.l3_lattices A) (and (tptp.l1_lattices A) (tptp.l2_lattices A)))))) (let ((_let_19 (forall ((A $$unsorted)) (=> (tptp.l1_lattices A) (tptp.l1_struct_0 A))))) (let ((_let_20 (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_21 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 A))) (=> (and (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (tptp.m1_subset_1 (tptp.k4_subset_1 A B C) _let_1)))))) (let ((_let_22 (forall ((A $$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_23 (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A) (not (tptp.v1_xboole_0 B)) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (tptp.m2_filter_2 (tptp.k19_filter_2 A B) A))))) (let ((_let_24 (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_25 (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_26 (forall ((A $$unsorted)) (=> (tptp.l3_lattices A) (= (tptp.k1_lattice2 A) (tptp.g3_lattices (tptp.u1_struct_0 A) (tptp.u1_lattices A) (tptp.u2_lattices A))))))) (let ((_let_27 (forall ((A $$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_28 (not (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.k19_filter_2 A (tptp.k4_subset_1 _let_1 B C)))) (=> (and (not (tptp.v1_xboole_0 C)) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 _let_1))) (and (tptp.r1_filter_2 _let_1 _let_2 (tptp.k19_filter_2 A (tptp.k4_subset_1 _let_1 (tptp.k19_filter_2 A B) C))) (tptp.r1_filter_2 _let_1 _let_2 (tptp.k19_filter_2 A (tptp.k4_subset_1 _let_1 B (tptp.k19_filter_2 A C)))))))))))))))) (let ((_let_29 (tptp.k8_filter_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_17))) (let ((_let_30 (tptp.k1_lattice2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_31 (tptp.k3_filter_2 _let_30 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_17))) (let ((_let_32 (= _let_31 (tptp.k19_filter_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_29)))) (let ((_let_33 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_17 _let_29))) (let ((_let_34 (tptp.k3_filter_0 _let_30 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_17))) (let ((_let_35 (= _let_31 _let_34))) (let ((_let_36 (tptp.u1_struct_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_37 (tptp.k4_subset_1 _let_36 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_17))) (let ((_let_38 (tptp.k8_filter_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_37))) (let ((_let_39 (tptp.k3_filter_2 _let_30 _let_37))) (let ((_let_40 (= _let_39 (tptp.k19_filter_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_38)))) (let ((_let_41 (= _let_37 _let_38))) (let ((_let_42 (tptp.u1_struct_0 _let_30))) (let ((_let_43 (= _let_36 _let_42))) (let ((_let_44 (= _let_39 (tptp.k3_filter_0 _let_30 _let_37)))) (let ((_let_45 (tptp.k3_filter_0 _let_30 (tptp.k4_subset_1 _let_42 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_17)))) (let ((_let_46 (= _let_45 (tptp.k3_filter_0 _let_30 (tptp.k4_subset_1 _let_42 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16 _let_34))))) (let ((_let_47 (tptp.k19_filter_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_17))) (let ((_let_48 (tptp.k4_subset_1 _let_36 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16 _let_47))) (let ((_let_49 (tptp.k8_filter_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_48))) (let ((_let_50 (= _let_48 _let_49))) (let ((_let_51 (tptp.k3_filter_2 _let_30 _let_48))) (let ((_let_52 (= _let_51 (tptp.k19_filter_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_49)))) (let ((_let_53 (tptp.k19_filter_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_48))) (let ((_let_54 (tptp.k19_filter_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_37))) (let ((_let_55 (= _let_54 _let_53))) (let ((_let_56 (= _let_51 (tptp.k3_filter_0 _let_30 _let_48)))) (let ((_let_57 (tptp.k7_filter_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16))) (let ((_let_58 (= (tptp.k3_filter_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16) (tptp.k19_filter_2 _let_30 _let_57)))) (let ((_let_59 (tptp.k19_filter_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16))) (let ((_let_60 (= _let_59 (tptp.k3_filter_2 _let_30 _let_57)))) (let ((_let_61 (and _let_60 _let_58 (= (tptp.k3_filter_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_29) (tptp.k19_filter_2 _let_30 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_17)) _let_32))) (let ((_let_62 (tptp.k1_zfmisc_1 _let_42))) (let ((_let_63 (tptp.m1_subset_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_17 _let_62))) (let ((_let_64 (not _let_63))) (let ((_let_65 (tptp.v1_xboole_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_17))) (let ((_let_66 (or _let_65 _let_64 _let_61))) (let ((_let_67 (forall ((C $$unsorted)) (let ((_let_1 (tptp.k8_filter_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 C))) (let ((_let_2 (tptp.k1_lattice2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_3 (tptp.k7_filter_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16))) (or (tptp.v1_xboole_0 C) (not (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 _let_2)))) (and (= (tptp.k19_filter_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16) (tptp.k3_filter_2 _let_2 _let_3)) (= (tptp.k3_filter_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16) (tptp.k19_filter_2 _let_2 _let_3)) (= (tptp.k3_filter_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_1) (tptp.k19_filter_2 _let_2 C)) (= (tptp.k3_filter_2 _let_2 C) (tptp.k19_filter_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_1)))))))))) (let ((_let_68 (tptp.k1_zfmisc_1 _let_36))) (let ((_let_69 (tptp.m1_subset_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16 _let_68))) (let ((_let_70 (not _let_69))) (let ((_let_71 (tptp.v1_xboole_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16))) (let ((_let_72 (or _let_71 _let_70 _let_67))) (let ((_let_73 (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)) (let ((_let_1 (tptp.k8_filter_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 C))) (let ((_let_2 (tptp.k1_lattice2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_3 (tptp.k7_filter_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 B))) (or (tptp.v1_xboole_0 C) (not (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 _let_2)))) (and (= (tptp.k3_filter_2 _let_2 _let_3) (tptp.k19_filter_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 B)) (= (tptp.k3_filter_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 B) (tptp.k19_filter_2 _let_2 _let_3)) (= (tptp.k3_filter_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_1) (tptp.k19_filter_2 _let_2 C)) (= (tptp.k3_filter_2 _let_2 C) (tptp.k19_filter_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_1)))))))))))) (let ((_let_74 (tptp.l3_lattices SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_75 (not _let_74))) (let ((_let_76 (tptp.v10_lattices SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_77 (not _let_76))) (let ((_let_78 (tptp.v3_struct_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_79 (or _let_78 _let_77 _let_75 _let_73))) (let ((_let_80 (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 $$unsorted)) (let ((_let_1 (tptp.k8_filter_2 A C))) (let ((_let_2 (tptp.k1_lattice2 A))) (let ((_let_3 (tptp.k7_filter_2 A B))) (or (tptp.v1_xboole_0 C) (not (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 _let_2)))) (and (= (tptp.k3_filter_2 _let_2 _let_3) (tptp.k19_filter_2 A B)) (= (tptp.k3_filter_2 A B) (tptp.k19_filter_2 _let_2 _let_3)) (= (tptp.k3_filter_2 A _let_1) (tptp.k19_filter_2 _let_2 C)) (= (tptp.k3_filter_2 _let_2 C) (tptp.k19_filter_2 A _let_1)))))))))))))) (let ((_let_81 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_82 (forall ((B $$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 $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_2 (tptp.k19_filter_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 (tptp.k4_subset_1 _let_1 B C)))) (or (tptp.v1_xboole_0 C) (not (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 _let_1))) (and (tptp.r1_filter_2 _let_1 _let_2 (tptp.k19_filter_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 (tptp.k4_subset_1 _let_1 (tptp.k19_filter_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 B) C))) (tptp.r1_filter_2 _let_1 _let_2 (tptp.k19_filter_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 (tptp.k4_subset_1 _let_1 B (tptp.k19_filter_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 C))))))))))))) (let ((_let_83 (or _let_78 _let_77 _let_75 _let_82))) (let ((_let_84 (forall ((A $$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)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.k19_filter_2 A (tptp.k4_subset_1 _let_1 B C)))) (or (tptp.v1_xboole_0 C) (not (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 _let_1))) (and (tptp.r1_filter_2 _let_1 _let_2 (tptp.k19_filter_2 A (tptp.k4_subset_1 _let_1 (tptp.k19_filter_2 A B) C))) (tptp.r1_filter_2 _let_1 _let_2 (tptp.k19_filter_2 A (tptp.k4_subset_1 _let_1 B (tptp.k19_filter_2 A C))))))))))))))) (let ((_let_85 (not _let_83))) (let ((_let_86 (EQ_RESOLVE (ASSUME :args (_let_28)) (MACRO_SR_EQ_INTRO :args (_let_28 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_87 (or))) (let ((_let_88 (not _let_84))) (let ((_let_89 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_86) :args (_let_88))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_88) _let_84))) (REFL :args (_let_85)) :args _let_87)) _let_86 :args (_let_85 true _let_84)))) (let ((_let_90 (REFL :args (_let_83)))) (let ((_let_91 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_83 2)) (CONG _let_90 (MACRO_SR_PRED_INTRO :args ((= (not _let_75) _let_74))) :args _let_87)) :args ((or _let_74 _let_83))) _let_89 :args (_let_74 true _let_83)))) (let ((_let_92 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_83 1)) (CONG _let_90 (MACRO_SR_PRED_INTRO :args ((= (not _let_77) _let_76))) :args _let_87)) :args ((or _let_76 _let_83))) _let_89 :args (_let_76 true _let_83)))) (let ((_let_93 (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_83 0)) _let_89 :args ((not _let_78) true _let_83)))) (let ((_let_94 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_79)) :args ((or _let_78 _let_77 _let_75 _let_73 (not _let_79)))) _let_93 _let_92 _let_91 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_81 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_CBQI_PROP)) :args (_let_80))) _let_81 :args (_let_79 false _let_80)) :args (_let_73 true _let_78 false _let_76 false _let_74 false _let_79)))) (let ((_let_95 (_let_73))) (let ((_let_96 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16 QUANTIFIERS_INST_CBQI_PROP))) (let ((_let_97 (ASSUME :args _let_95))) (let ((_let_98 (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_2 (tptp.k19_filter_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 (tptp.k4_subset_1 _let_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16 C)))) (or (tptp.v1_xboole_0 C) (not (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 _let_1))) (and (tptp.r1_filter_2 _let_1 _let_2 (tptp.k19_filter_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 (tptp.k4_subset_1 _let_1 (tptp.k19_filter_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16) C))) (tptp.r1_filter_2 _let_1 _let_2 (tptp.k19_filter_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 (tptp.k4_subset_1 _let_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16 (tptp.k19_filter_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 C))))))))))) (let ((_let_99 (or _let_71 _let_70 _let_98))) (let ((_let_100 (not _let_99))) (let ((_let_101 (not _let_82))) (let ((_let_102 (_let_101))) (let ((_let_103 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_102)) :args _let_102)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_101) _let_82))) (REFL :args (_let_100)) :args _let_87)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_83 3)) _let_89 :args (_let_101 true _let_83)) :args (_let_100 true _let_82)))) (let ((_let_104 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_99 1)) (CONG (REFL :args (_let_99)) (MACRO_SR_PRED_INTRO :args ((= (not _let_70) _let_69))) :args _let_87)) :args ((or _let_69 _let_99))) _let_103 :args (_let_69 true _let_99)))) (let ((_let_105 (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_99 0)) _let_103 :args ((not _let_71) true _let_99)))) (let ((_let_106 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_72)) :args ((or _let_71 _let_70 _let_67 (not _let_72)))) _let_105 _let_104 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_97 :args _let_96) :args _let_95))) _let_94 :args (_let_72 false _let_73)) :args (_let_67 true _let_71 false _let_69 false _let_72)))) (let ((_let_107 (_let_67))) (let ((_let_108 ((not (= (tptp.v1_xboole_0 C) true))))) (let ((_let_109 (ASSUME :args _let_107))) (let ((_let_110 (tptp.k7_filter_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_17))) (let ((_let_111 (tptp.m1_subset_1 _let_110 _let_62))) (let ((_let_112 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_17 _let_110))) (let ((_let_113 (tptp.m1_subset_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_17 _let_68))) (let ((_let_114 (not _let_113))) (let ((_let_115 (or _let_78 _let_77 _let_75 _let_114 _let_111))) (let ((_let_116 (forall ((A $$unsorted) (B $$unsorted)) (or (tptp.v3_struct_0 A) (not (tptp.v10_lattices A)) (not (tptp.l3_lattices A)) (not (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (tptp.m1_subset_1 (tptp.k7_filter_2 A B) (tptp.k1_zfmisc_1 (tptp.u1_struct_0 (tptp.k1_lattice2 A)))))))) (let ((_let_117 (EQ_RESOLVE (ASSUME :args (_let_20)) (MACRO_SR_EQ_INTRO :args (_let_20 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_118 (_let_116))) (let ((_let_119 (tptp.r1_filter_2 _let_36 _let_54 _let_53))) (let ((_let_120 (tptp.k4_subset_1 _let_36 _let_59 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_17))) (let ((_let_121 (tptp.k19_filter_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_120))) (let ((_let_122 (tptp.r1_filter_2 _let_36 _let_54 _let_121))) (let ((_let_123 (and _let_122 _let_119))) (let ((_let_124 (or _let_65 _let_114 _let_123))) (let ((_let_125 (not _let_124))) (let ((_let_126 (not _let_98))) (let ((_let_127 (_let_126))) (let ((_let_128 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_127)) :args _let_127)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_126) _let_98))) (REFL :args (_let_125)) :args _let_87)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_99 2)) _let_103 :args (_let_126 true _let_99)) :args (_let_125 true _let_98)))) (let ((_let_129 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_124 1)) (CONG (REFL :args (_let_124)) (MACRO_SR_PRED_INTRO :args ((= (not _let_114) _let_113))) :args _let_87)) :args ((or _let_113 _let_124))) _let_128 :args (_let_113 true _let_124)))) (let ((_let_130 (or _let_114 _let_112))) (let ((_let_131 (forall ((B $$unsorted)) (or (not (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))) (= B (tptp.k7_filter_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 B)))))) (let ((_let_132 (or _let_78 _let_77 _let_75 _let_131))) (let ((_let_133 (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_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (= B (tptp.k7_filter_2 A B)))))))) (let ((_let_134 (EQ_RESOLVE (ASSUME :args (_let_25)) (MACRO_SR_EQ_INTRO :args (_let_25 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_135 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_132)) :args ((or _let_78 _let_77 _let_75 _let_131 (not _let_132)))) _let_93 _let_92 _let_91 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_134 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.v3_struct_0 A) true))))) :args (_let_133))) _let_134 :args (_let_132 false _let_133)) :args (_let_131 true _let_78 false _let_76 false _let_74 false _let_132)))) (let ((_let_136 (_let_131))) (let ((_let_137 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_17 QUANTIFIERS_INST_CBQI_PROP))) (let ((_let_138 (ASSUME :args _let_136))) (let ((_let_139 (and _let_112 _let_111))) (let ((_let_140 (ASSUME :args (_let_111)))) (let ((_let_141 (APPLY_UF tptp.m1_subset_1))) (let ((_let_142 (REFL :args (_let_62)))) (let ((_let_143 (ASSUME :args (_let_112)))) (let ((_let_144 (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_139)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_140 _let_143) (SCOPE (TRUE_ELIM (TRANS (CONG (SYMM (SYMM _let_143)) _let_142 :args _let_141) (TRUE_INTRO _let_140))) :args (_let_111 _let_112))) :args (_let_112 _let_111))) :args (true _let_139)) :args ((or _let_63 (not _let_112) (not _let_111)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_130)) :args ((or _let_114 _let_112 (not _let_130)))) _let_129 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_138 :args _let_137) :args _let_136)) _let_135 :args (_let_130 false _let_131)) :args (_let_112 false _let_113 false _let_130)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_115)) :args ((or _let_78 _let_77 _let_75 _let_114 _let_111 (not _let_115)))) _let_93 _let_92 _let_91 _let_129 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_117 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_17 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_118)) _let_117 :args (_let_115 false _let_116)) :args (_let_111 true _let_78 false _let_76 false _let_74 false _let_113 false _let_115)) :args (_let_63 false _let_112 false _let_111)))) (let ((_let_145 (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_124 0)) _let_128 :args ((not _let_65) true _let_124)))) (let ((_let_146 (or _let_64 _let_33))) (let ((_let_147 (forall ((B $$unsorted)) (or (not (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 (tptp.k1_lattice2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))))) (= B (tptp.k8_filter_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 B)))))) (let ((_let_148 (or _let_78 _let_77 _let_75 _let_147))) (let ((_let_149 (forall ((A $$unsorted)) (or (tptp.v3_struct_0 A) (not (tptp.v10_lattices A)) (not (tptp.l3_lattices A)) (forall ((B $$unsorted)) (or (not (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 (tptp.k1_lattice2 A))))) (= B (tptp.k8_filter_2 A B)))))))) (let ((_let_150 (EQ_RESOLVE (ASSUME :args (_let_24)) (MACRO_SR_EQ_INTRO :args (_let_24 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_151 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_148)) :args ((or _let_78 _let_77 _let_75 _let_147 (not _let_148)))) _let_93 _let_92 _let_91 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_150 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.v3_struct_0 A) true))))) :args (_let_149))) _let_150 :args (_let_148 false _let_149)) :args (_let_147 true _let_78 false _let_76 false _let_74 false _let_148)))) (let ((_let_152 (_let_147))) (let ((_let_153 (ASSUME :args _let_152))) (let ((_let_154 (tptp.l3_lattices _let_30))) (let ((_let_155 (not _let_154))) (let ((_let_156 (tptp.v10_lattices _let_30))) (let ((_let_157 (not _let_156))) (let ((_let_158 (tptp.v3_struct_0 _let_30))) (let ((_let_159 (or _let_158 _let_157 _let_155 _let_65 _let_64 _let_35))) (let ((_let_160 (forall ((A $$unsorted) (B $$unsorted)) (or (tptp.v3_struct_0 A) (not (tptp.v10_lattices A)) (not (tptp.l3_lattices A)) (tptp.v1_xboole_0 B) (not (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (= (tptp.k3_filter_2 A B) (tptp.k3_filter_0 A B)))))) (let ((_let_161 (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_162 (_let_160))) (let ((_let_163 ((not (= (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) false))))) (let ((_let_164 (tptp.v3_lattices _let_30))) (let ((_let_165 (and _let_164 _let_154))) (let ((_let_166 (or _let_75 _let_165))) (let ((_let_167 (forall ((A $$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_168 (EQ_RESOLVE (ASSUME :args (_let_22)) (MACRO_SR_EQ_INTRO :args (_let_22 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_169 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_165 1)) :args ((or _let_154 (not _let_165)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_166)) :args ((or _let_75 _let_165 (not _let_166)))) _let_91 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_168 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.k1_lattice2 A)))) :args (_let_167))) _let_168 :args (_let_166 false _let_167)) :args (_let_165 false _let_74 false _let_166)) :args (_let_154 false _let_165)))) (let ((_let_170 (not _let_158))) (let ((_let_171 (and _let_170 _let_164 (tptp.v4_lattices _let_30) (tptp.v5_lattices _let_30) (tptp.v6_lattices _let_30) (tptp.v7_lattices _let_30) (tptp.v8_lattices _let_30) (tptp.v9_lattices _let_30) _let_156))) (let ((_let_172 (or _let_78 _let_77 _let_75 _let_171))) (let ((_let_173 (forall ((A $$unsorted)) (let ((_let_1 (tptp.k1_lattice2 A))) (or (tptp.v3_struct_0 A) (not (tptp.v10_lattices A)) (not (tptp.l3_lattices A)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v3_lattices _let_1) (tptp.v4_lattices _let_1) (tptp.v5_lattices _let_1) (tptp.v6_lattices _let_1) (tptp.v7_lattices _let_1) (tptp.v8_lattices _let_1) (tptp.v9_lattices _let_1) (tptp.v10_lattices _let_1))))))) (let ((_let_174 (EQ_RESOLVE (ASSUME :args (_let_9)) (MACRO_SR_EQ_INTRO :args (_let_9 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_175 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_171 8)) :args ((or _let_156 (not _let_171)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_172)) :args ((or _let_78 _let_77 _let_75 _let_171 (not _let_172)))) _let_93 _let_92 _let_91 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_174 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.l3_lattices A) false))))) :args (_let_173))) _let_174 :args (_let_172 false _let_173)) :args (_let_171 true _let_78 false _let_76 false _let_74 false _let_172)) :args (_let_156 false _let_171)))) (let ((_let_176 (and _let_170 _let_164))) (let ((_let_177 (or _let_78 _let_75 _let_176))) (let ((_let_178 (forall ((A $$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_179 (EQ_RESOLVE (ASSUME :args (_let_13)) (MACRO_SR_EQ_INTRO :args (_let_13 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_180 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_177)) :args ((or _let_78 _let_75 _let_176 (not _let_177)))) _let_93 _let_91 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_179 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.l3_lattices A) false))))) :args (_let_178))) _let_179 :args (_let_177 false _let_178)) :args (_let_176 true _let_78 false _let_74 false _let_177)))) (let ((_let_181 (not _let_176))) (let ((_let_182 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_176 0)) :args ((or _let_170 _let_181))) _let_180 :args (_let_170 false _let_176)))) (let ((_let_183 (and (= _let_47 (tptp.k3_filter_2 _let_30 _let_110)) (= (tptp.k3_filter_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_17) (tptp.k19_filter_2 _let_30 _let_110)) (= (tptp.k3_filter_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_38) (tptp.k19_filter_2 _let_30 _let_37)) _let_40))) (let ((_let_184 (tptp.m1_subset_1 _let_37 _let_62))) (let ((_let_185 (not _let_184))) (let ((_let_186 (tptp.v1_xboole_0 _let_37))) (let ((_let_187 (or _let_186 _let_185 _let_183))) (let ((_let_188 (forall ((C $$unsorted)) (let ((_let_1 (tptp.k8_filter_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 C))) (let ((_let_2 (tptp.k1_lattice2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_3 (tptp.k7_filter_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_17))) (or (tptp.v1_xboole_0 C) (not (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 _let_2)))) (and (= (tptp.k19_filter_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_17) (tptp.k3_filter_2 _let_2 _let_3)) (= (tptp.k3_filter_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_17) (tptp.k19_filter_2 _let_2 _let_3)) (= (tptp.k3_filter_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_1) (tptp.k19_filter_2 _let_2 C)) (= (tptp.k3_filter_2 _let_2 C) (tptp.k19_filter_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_1)))))))))) (let ((_let_189 (or _let_65 _let_114 _let_188))) (let ((_let_190 ((not (= (tptp.m1_subset_1 B _let_68) false))))) (let ((_let_191 (_let_188))) (let ((_let_192 (tptp.k7_filter_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_37))) (let ((_let_193 (tptp.m1_subset_1 _let_192 _let_62))) (let ((_let_194 (= _let_37 _let_192))) (let ((_let_195 (tptp.m1_subset_1 _let_37 _let_68))) (let ((_let_196 (not _let_195))) (let ((_let_197 (or _let_78 _let_77 _let_75 _let_196 _let_193))) (let ((_let_198 (or _let_70 _let_114 _let_195))) (let ((_let_199 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 A))) (or (not (tptp.m1_subset_1 B _let_1)) (not (tptp.m1_subset_1 C _let_1)) (tptp.m1_subset_1 (tptp.k4_subset_1 A B C) _let_1)))))) (let ((_let_200 (EQ_RESOLVE (ASSUME :args (_let_21)) (MACRO_SR_EQ_INTRO 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_let_141) (TRUE_INTRO _let_206))) :args (_let_193 _let_194))) :args (_let_194 _let_193))) :args (true _let_205)) :args ((or _let_184 (not _let_194) (not _let_193)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_204)) :args ((or _let_196 _let_194 (not _let_204)))) _let_203 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_138 :args (_let_37 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.m1_subset_1 B _let_68) false))))) :args _let_136)) _let_135 :args (_let_204 false _let_131)) :args (_let_194 false _let_195 false _let_204)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_197)) :args ((or _let_78 _let_77 _let_75 _let_196 _let_193 (not _let_197)))) _let_93 _let_92 _let_91 _let_203 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_117 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_37 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_118)) _let_117 :args (_let_197 false _let_116)) :args (_let_193 true _let_78 false _let_76 false _let_74 false _let_195 false _let_197)) :args (_let_184 false _let_194 false _let_193)))) (let ((_let_209 (tptp.k2_xboole_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_17))) (let ((_let_210 (tptp.v1_xboole_0 _let_209))) (let ((_let_211 (= _let_37 _let_209))) (let ((_let_212 (not _let_186))) (let ((_let_213 (not _let_210))) (let ((_let_214 (or _let_71 _let_213))) (let ((_let_215 (forall ((A $$unsorted) (B $$unsorted)) (or (tptp.v1_xboole_0 A) (not (tptp.v1_xboole_0 (tptp.k2_xboole_0 A B))))))) (let ((_let_216 (EQ_RESOLVE (ASSUME :args (_let_11)) (MACRO_SR_EQ_INTRO :args (_let_11 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_217 (_let_215))) (let ((_let_218 (or _let_70 _let_114 _let_211))) (let ((_let_219 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 A))) (or (not (tptp.m1_subset_1 B _let_1)) (not (tptp.m1_subset_1 C _let_1)) (= (tptp.k4_subset_1 A B C) (tptp.k2_xboole_0 B C))))))) (let ((_let_220 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_221 (_let_219))) (let ((_let_222 ((tptp.k4_subset_1 A B C)))) (let ((_let_223 (not _let_211))) (let ((_let_224 (and _let_211 _let_213))) (let ((_let_225 (ASSUME :args (_let_213)))) (let ((_let_226 (APPLY_UF tptp.v1_xboole_0))) (let ((_let_227 (ASSUME :args (_let_211)))) (let ((_let_228 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_224)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_225 _let_227) (SCOPE (FALSE_ELIM (TRANS (CONG (SYMM (SYMM _let_227)) :args _let_226) (FALSE_INTRO _let_225))) :args (_let_213 _let_211))) :args (_let_211 _let_213))) :args (true _let_224)) (CONG (REFL :args (_let_223)) (MACRO_SR_PRED_INTRO :args ((= (not _let_213) _let_210))) (REFL :args (_let_212)) :args _let_87)) :args ((or _let_212 _let_223 _let_210))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_218)) :args ((or _let_70 _let_114 _let_211 (not _let_218)))) _let_104 _let_129 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_220 :args (_let_36 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_17 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_222)) :args _let_221)) _let_220 :args (_let_218 false _let_219)) :args (_let_211 false _let_69 false _let_113 false _let_218)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_214)) :args ((or _let_71 _let_213 (not _let_214)))) _let_105 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_216 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_17 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_217)) _let_216 :args (_let_214 false _let_215)) :args (_let_213 true _let_71 false _let_214)) :args (_let_212 false _let_211 true _let_210)))) (let ((_let_229 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_183 3)) :args ((or _let_40 (not _let_183)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_187)) :args ((or _let_186 _let_185 _let_183 (not _let_187)))) _let_228 _let_208 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_191) :args (_let_37 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_108)) :args _let_191)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_189)) :args ((or _let_65 _let_114 _let_188 (not _let_189)))) _let_145 _let_129 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_97 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_17 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_190)) :args _let_95))) _let_94 :args (_let_189 false _let_73)) :args (_let_188 true _let_65 false _let_113 false _let_189)) :args (_let_187 false _let_188)) :args (_let_183 true _let_186 false _let_184 false _let_187)) :args (_let_40 false _let_183)))) (let ((_let_230 (or _let_185 _let_41))) (let ((_let_231 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_230)) :args ((or _let_185 _let_41 (not _let_230)))) _let_208 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_153 :args (_let_37 QUANTIFIERS_INST_CBQI_PROP)) :args _let_152)) _let_151 :args (_let_230 false _let_147)) :args (_let_41 false _let_184 false _let_230)))) (let ((_let_232 (tptp.u1_lattices _let_30))) (let ((_let_233 (tptp.u2_lattices SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_234 (tptp.u2_lattices _let_30))) (let ((_let_235 (tptp.u1_lattices SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_236 (and _let_43 (= _let_235 _let_234) (= _let_233 _let_232)))) (let ((_let_237 (tptp.g3_lattices _let_42 _let_234 _let_232))) (let ((_let_238 (tptp.g3_lattices _let_36 _let_235 _let_233))) (let ((_let_239 (= _let_238 _let_237))) (let ((_let_240 (not _let_239))) (let ((_let_241 (or _let_240 _let_236))) (let ((_let_242 (forall ((D $$unsorted) (E $$unsorted) (F $$unsorted)) (let ((_let_1 (tptp.u2_lattices SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_2 (tptp.u1_lattices SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_3 (tptp.u1_struct_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (or (not (= (tptp.g3_lattices D E F) (tptp.g3_lattices _let_3 _let_2 _let_1))) (and (= D _let_3) (= E _let_2) (= F _let_1))))))))) (let ((_let_243 (tptp.k2_zfmisc_1 _let_36 _let_36))) (let ((_let_244 (tptp.m1_relset_1 _let_233 _let_243 _let_36))) (let ((_let_245 (not _let_244))) (let ((_let_246 (tptp.v1_funct_2 _let_233 _let_243 _let_36))) (let ((_let_247 (not _let_246))) (let ((_let_248 (tptp.v1_funct_1 _let_233))) (let ((_let_249 (not _let_248))) (let ((_let_250 (tptp.m1_relset_1 _let_235 _let_243 _let_36))) (let ((_let_251 (not _let_250))) (let ((_let_252 (tptp.v1_funct_2 _let_235 _let_243 _let_36))) (let ((_let_253 (not _let_252))) (let ((_let_254 (tptp.v1_funct_1 _let_235))) (let ((_let_255 (not _let_254))) (let ((_let_256 (or _let_255 _let_253 _let_251 _let_249 _let_247 _let_245 _let_242))) (let ((_let_257 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A A))) (or (not (tptp.v1_funct_1 B)) (not (tptp.v1_funct_2 B _let_1 A)) (not (tptp.m1_relset_1 B 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(tptp.k3_filter_0 _let_1 (tptp.k4_subset_1 _let_2 (tptp.k3_filter_0 _let_1 B) C))) (= _let_3 (tptp.k3_filter_0 _let_1 (tptp.k4_subset_1 _let_2 B (tptp.k3_filter_0 _let_1 C)))))))))))))) (let ((_let_314 (or _let_158 _let_157 _let_155 _let_313))) (let ((_let_315 (forall ((A $$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)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.k3_filter_0 A (tptp.k4_subset_1 _let_1 B C)))) (or (tptp.v1_xboole_0 C) (not (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 _let_1))) (and (= _let_2 (tptp.k3_filter_0 A (tptp.k4_subset_1 _let_1 (tptp.k3_filter_0 A B) C))) (= _let_2 (tptp.k3_filter_0 A (tptp.k4_subset_1 _let_1 B (tptp.k3_filter_0 A C))))))))))))))) (let ((_let_316 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let 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(_let_342)) :args ((or _let_337 _let_341 (not _let_342)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_351 1)) :args ((or _let_340 (not _let_351)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_354)) :args ((or _let_353 _let_351 (not _let_354)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_363)) :args ((or _let_78 _let_77 _let_75 _let_65 _let_114 _let_352 (not _let_363)))) _let_93 _let_92 _let_91 _let_145 _let_129 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_365 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_17 QUANTIFIERS_INST_E_MATCHING _let_367)) :args _let_366)) _let_365 :args (_let_363 false _let_364)) :args (_let_352 true _let_78 false _let_76 false _let_74 true _let_65 false _let_113 false _let_363)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_362 :args (_let_47 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_361)) :args _let_360)) _let_359 :args (_let_354 false _let_355)) :args (_let_351 false _let_352 false _let_354)) :args (_let_340 false _let_351)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_350 :args (_let_47 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_349)) :args _let_348)) _let_347 :args (_let_342 false _let_343)) :args (_let_337 false _let_340 false _let_342)))) (let ((_let_369 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_339)) :args ((or _let_70 _let_338 _let_336 (not _let_339)))) _let_104 _let_368 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_200 :args (_let_36 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16 _let_47 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_202)) :args _let_201)) _let_200 :args (_let_339 false _let_199)) :args (_let_336 false _let_69 false _let_337 false _let_339)))) (let ((_let_370 (and _let_336 _let_43))) (let ((_let_371 (_let_336 _let_43))) (let ((_let_372 (ASSUME :args (_let_336)))) (let ((_let_373 (ASSUME :args (_let_43)))) (let ((_let_374 (SYMM _let_373))) (let ((_let_375 (CONG _let_374 :args (APPLY_UF tptp.k1_zfmisc_1)))) (let ((_let_376 (MACRO_RESOLUTION_TRUST (RESOLUTION (CNF_AND_NEG :args (_let_370)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_372 _let_373) (SCOPE (TRUE_ELIM (TRANS (CONG (REFL :args (_let_48)) _let_375 :args _let_141) (TRUE_INTRO _let_372))) :args _let_371)) :args _let_371)) :args (true _let_370)) _let_369 _let_302 :args (_let_332 false _let_336 false _let_43)))) (let ((_let_377 (tptp.k7_filter_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_37))) (let ((_let_378 (= (tptp.k3_filter_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_37) (tptp.k19_filter_2 _let_30 _let_377)))) (let ((_let_379 (= (tptp.k3_filter_2 _let_30 _let_377) (tptp.k19_filter_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_37)))) (let ((_let_380 (and _let_379 _let_378 (= (tptp.k19_filter_2 _let_30 _let_48) (tptp.k3_filter_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_49)) _let_52))) (let ((_let_381 (tptp.v1_xboole_0 _let_48))) (let ((_let_382 (or _let_381 _let_333 _let_380))) (let ((_let_383 (forall ((C $$unsorted)) (let ((_let_1 (tptp.k8_filter_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 C))) (let ((_let_2 (tptp.k1_lattice2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_3 (tptp.k7_filter_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_37))) (or (tptp.v1_xboole_0 C) (not (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 _let_2)))) (and (= (tptp.k3_filter_2 _let_2 _let_3) (tptp.k19_filter_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_37)) (= (tptp.k3_filter_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_37) (tptp.k19_filter_2 _let_2 _let_3)) (= (tptp.k3_filter_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_1) (tptp.k19_filter_2 _let_2 C)) (= (tptp.k3_filter_2 _let_2 C) (tptp.k19_filter_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_1)))))))))) (let ((_let_384 (tptp.m1_subset_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_37 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(IMPLIES_ELIM (SCOPE (INSTANTIATE _let_396 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.v3_struct_0 A) true))))) :args (_let_395))) _let_396 :args (_let_394 false _let_395)) :args (_let_391 true _let_78 false _let_392 false _let_394)) :args (_let_390 true _let_389)))) (let ((_let_403 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_387)) :args ((or _let_385 _let_386 _let_383 (not _let_387)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_388 0)) (CONG (REFL :args (_let_388)) (MACRO_SR_PRED_INTRO :args ((= (not _let_385) _let_384))) :args _let_87)) :args ((or _let_384 _let_388))) _let_402 :args (_let_384 true _let_388)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_388 1)) _let_402 :args ((not _let_386) true _let_388)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_97 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_37 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_190)) :args _let_95)) _let_94 :args (_let_387 false _let_73)) :args (_let_383 false _let_384 true _let_386 false _let_387)))) (let ((_let_404 (_let_383))) (let ((_let_405 (ASSUME :args _let_404))) (let ((_let_406 (tptp.k2_xboole_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16 _let_47))) (let ((_let_407 (tptp.v1_xboole_0 _let_406))) (let ((_let_408 (= _let_48 _let_406))) (let ((_let_409 (not _let_381))) (let ((_let_410 (not _let_407))) (let ((_let_411 (or _let_71 _let_410))) (let ((_let_412 (or _let_70 _let_338 _let_408))) (let ((_let_413 (not _let_408))) (let ((_let_414 (and _let_408 _let_410))) (let ((_let_415 (ASSUME :args (_let_410)))) (let ((_let_416 (ASSUME :args (_let_408)))) (let ((_let_417 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_414)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_415 _let_416) (SCOPE (FALSE_ELIM (TRANS (CONG (SYMM (SYMM _let_416)) :args _let_226) (FALSE_INTRO _let_415))) :args (_let_410 _let_408))) :args (_let_408 _let_410))) :args (true _let_414)) (CONG 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:args (_let_409 false _let_408 true _let_407)))) (let ((_let_418 (= _let_119 _let_55))) (let ((_let_419 (not _let_55))) (let ((_let_420 (tptp.m1_subset_1 _let_53 _let_68))) (let ((_let_421 (not _let_420))) (let ((_let_422 (tptp.m1_subset_1 _let_54 _let_68))) (let ((_let_423 (not _let_422))) (let ((_let_424 (tptp.v1_xboole_0 _let_36))) (let ((_let_425 (or _let_424 _let_423 _let_421 _let_418))) (let ((_let_426 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 A))) (or (tptp.v1_xboole_0 A) (not (tptp.m1_subset_1 B _let_1)) (not (tptp.m1_subset_1 C _let_1)) (= (tptp.r1_filter_2 A B C) (= B C))))))) (let ((_let_427 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_428 (_let_426))) (let ((_let_429 ((tptp.r1_filter_2 A B C)))) (let ((_let_430 (tptp.m2_lattice4 _let_53 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_431 (not _let_430))) (let ((_let_432 (or _let_431 _let_420))) (let ((_let_433 (and (not (tptp.v1_xboole_0 _let_53)) _let_430))) (let ((_let_434 (tptp.m2_filter_2 _let_53 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_435 (not _let_434))) (let ((_let_436 (or _let_435 _let_433))) (let ((_let_437 (not _let_336))) (let ((_let_438 (or _let_78 _let_77 _let_75 _let_381 _let_437 _let_434))) (let ((_let_439 ((tptp.k19_filter_2 A B)))) (let ((_let_440 (tptp.m2_lattice4 _let_54 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_441 (not _let_440))) (let ((_let_442 (or _let_441 _let_422))) (let ((_let_443 (and (not (tptp.v1_xboole_0 _let_54)) _let_440))) (let ((_let_444 (tptp.m2_filter_2 _let_54 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_445 (not _let_444))) (let ((_let_446 (or _let_445 _let_443))) (let ((_let_447 (or _let_78 _let_77 _let_75 _let_186 _let_196 _let_444))) (let ((_let_448 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_442)) :args ((or _let_422 _let_441 (not _let_442)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_443 1)) 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(MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_436)) :args ((or _let_435 _let_433 (not _let_436)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_438)) :args ((or _let_78 _let_77 _let_75 _let_381 _let_437 _let_434 (not _let_438)))) _let_93 _let_92 _let_91 _let_417 _let_369 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_365 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_48 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_439)) :args _let_366)) _let_365 :args (_let_438 false _let_364)) :args (_let_434 true _let_78 false _let_76 false _let_74 true _let_381 false _let_336 false _let_438)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_362 :args (_let_53 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_361)) :args _let_360)) _let_359 :args (_let_436 false _let_355)) :args (_let_433 false _let_434 false _let_436)) :args (_let_430 false _let_433)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_350 :args (_let_53 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:args (_let_52 false _let_380)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_334)) :args ((or _let_333 _let_50 (not _let_334)))) _let_376 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_153 :args (_let_48 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_335)) :args _let_152)) _let_151 :args (_let_334 false _let_147)) :args (_let_50 false _let_332 false _let_334)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_307 1)) :args ((or _let_46 _let_331))) _let_330 :args (_let_46 false _let_307)) _let_304 _let_302 _let_231 _let_229 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_159)) :args ((or _let_65 _let_158 _let_64 _let_157 _let_155 _let_35 (not _let_159)))) _let_145 _let_182 _let_144 _let_175 _let_169 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_161 :args (_let_30 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_17 QUANTIFIERS_INST_E_MATCHING _let_163)) :args _let_162)) _let_161 :args (_let_159 false _let_160)) :args (_let_35 true _let_65 true _let_158 false _let_63 false _let_156 false _let_154 false _let_159)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_146)) :args ((or _let_64 _let_33 (not _let_146)))) _let_144 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_153 :args _let_137) :args _let_152)) _let_151 :args (_let_146 false _let_147)) :args (_let_33 false _let_63 false _let_146)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_61 3)) :args ((or _let_32 (not _let_61)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_66)) :args ((or _let_65 _let_64 _let_61 (not _let_66)))) _let_145 _let_144 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_109 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_17 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_108)) :args _let_107)) _let_106 :args (_let_66 false _let_67)) :args (_let_61 true _let_65 false _let_63 false _let_66)) :args (_let_32 false _let_61)) :args (false false _let_56 true _let_55 false _let_52 false _let_50 false _let_46 false _let_44 false _let_43 false _let_41 false _let_40 false _let_35 false _let_33 false _let_32)) :args (_let_28 _let_27 (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 $$unsorted) (B $$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 $$unsorted)) (= (tptp.k2_xboole_0 A B) (tptp.k2_xboole_0 B A))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 A))) (=> (and (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (= (tptp.k4_subset_1 A B C) (tptp.k4_subset_1 A C B))))) _let_26 _let_25 _let_24 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.g3_lattices A B C))) (let ((_let_2 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_2 A) (tptp.m1_relset_1 B _let_2 A) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 A) (tptp.m1_relset_1 C _let_2 A)) (and (tptp.v3_lattices _let_1) (tptp.l3_lattices _let_1)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A) (tptp.m2_filter_2 B A)) (tptp.m1_filter_2 (tptp.k15_filter_2 A B) (tptp.k1_lattice2 A)))) _let_23 _let_22 true true true true (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A) (not (tptp.v1_xboole_0 B)) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (tptp.m1_filter_0 (tptp.k3_filter_0 A B) A))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A) (not (tptp.v1_xboole_0 B)) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (tptp.m1_filter_2 (tptp.k3_filter_2 A B) A))) _let_21 _let_20 (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 (tptp.k1_lattice2 A))))) (tptp.m1_subset_1 (tptp.k8_filter_2 A B) (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))))) _let_19 true (forall ((A $$unsorted)) (=> (tptp.l2_lattices A) (tptp.l1_struct_0 A))) _let_18 (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_17 _let_16 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.m2_relset_1 C A B) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.k2_zfmisc_1 A B))))) _let_15 true _let_14 (exists ((A $$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 $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A) (not (tptp.v1_xboole_0 B)) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (not (tptp.v1_xboole_0 (tptp.k7_filter_2 A B))))) _let_13 _let_12 (forall ((A $$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 $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.k2_zfmisc_1 _let_1 _let_1))) (let ((_let_3 (tptp.u2_lattices A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_lattices A) (tptp.l2_lattices A)) (and (tptp.v1_relat_1 _let_3) (tptp.v1_funct_1 _let_3) (tptp.v1_funct_2 _let_3 _let_2 _let_1) (tptp.v1_binop_1 _let_3 _let_1) (tptp.v1_partfun1 _let_3 _let_2 _let_1))))))) _let_11 (forall ((A $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.k2_zfmisc_1 _let_1 _let_1))) (let ((_let_3 (tptp.u2_lattices A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v5_lattices A) (tptp.l2_lattices A)) (and (tptp.v1_relat_1 _let_3) (tptp.v1_funct_1 _let_3) (tptp.v1_funct_2 _let_3 _let_2 _let_1) (tptp.v2_binop_1 _let_3 _let_1) (tptp.v1_partfun1 _let_3 _let_2 _let_1))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.g3_lattices A B C))) (let ((_let_2 (tptp.k2_zfmisc_1 A A))) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_2 A) (tptp.m1_relset_1 B _let_2 A) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 A) (tptp.m1_relset_1 C _let_2 A)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v3_lattices _let_1)))))) _let_10 (forall ((A $$unsorted)) (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 $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.k2_zfmisc_1 _let_1 _let_1))) (let ((_let_3 (tptp.u1_lattices A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v7_lattices A) (tptp.l1_lattices A)) (and (tptp.v1_relat_1 _let_3) (tptp.v1_funct_1 _let_3) (tptp.v1_funct_2 _let_3 _let_2 _let_1) (tptp.v2_binop_1 _let_3 _let_1) (tptp.v1_partfun1 _let_3 _let_2 _let_1))))))) _let_9 _let_8 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.k2_xboole_0 A A) A)) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 A))) (=> (and (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (= (tptp.k4_subset_1 A B B) B)))) (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 $$unsorted)) (and (tptp.l1_struct_0 A) (not (tptp.v3_struct_0 A)))) _let_7 (exists ((A $$unsorted)) (and (tptp.l3_lattices A) (not (tptp.v3_struct_0 A)) (tptp.v3_lattices A))) (exists ((A $$unsorted)) (and (tptp.l3_lattices A) (not (tptp.v3_struct_0 A)) (tptp.v3_lattices A) (tptp.v4_lattices A) (tptp.v5_lattices A) (tptp.v6_lattices A) (tptp.v7_lattices A) (tptp.v8_lattices A) (tptp.v9_lattices A) (tptp.v10_lattices A))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A) (tptp.m2_filter_2 B A)) (= (tptp.k15_filter_2 A B) (tptp.k7_filter_2 A B)))) _let_6 _let_5 (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (= (tptp.m1_filter_2 B A) (tptp.m1_filter_0 B A))))) _let_4 _let_3 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 A))) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (tptp.r1_filter_2 A B B)))) (forall ((A $$unsorted) (B $$unsorted)) (tptp.r1_tarski A A)) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 A))) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (=> (tptp.r1_filter_2 A B C) (tptp.r1_filter_2 A C B))))) (forall ((A $$unsorted)) (= (tptp.k2_xboole_0 A tptp.k1_xboole_0) 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_2 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.m1_subset_1 A (tptp.k1_zfmisc_1 B)) (tptp.r1_tarski A B))) _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))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 48.63/48.83  )
% 48.63/48.83  % SZS output end Proof for LAT315+1
% 48.63/48.83  % cvc5---1.0.5 exiting
% 48.63/48.84  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------