%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : LAT339+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n027.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Thu Aug 31 06:04:11 EDT 2023

% Result   : Theorem 5.03s 5.20s
% Output   : Proof 5.03s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem    : LAT339+1 : TPTP v8.1.2. Released v3.4.0.
% 0.00/0.14  % Command    : do_cvc5 %s %d
% 0.18/0.35  % Computer : n027.cluster.edu
% 0.18/0.35  % Model    : x86_64 x86_64
% 0.18/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.35  % Memory   : 8042.1875MB
% 0.18/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.18/0.35  % CPULimit   : 300
% 0.18/0.35  % WCLimit    : 300
% 0.18/0.35  % DateTime   : Thu Aug 24 09:19:32 EDT 2023
% 0.18/0.36  % CPUTime    : 
% 0.22/0.50  %----Proving TF0_NAR, FOF, or CNF
% 5.03/5.20  ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.USJHDn7umK/cvc5---1.0.5_30223.p...
% 5.03/5.20  ------- get file name : TPTP file name is LAT339+1
% 5.03/5.20  ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_30223.smt2...
% 5.03/5.20  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 5.03/5.20  % SZS status Theorem for LAT339+1
% 5.03/5.20  % SZS output start Proof for LAT339+1
% 5.03/5.20  (
% 5.03/5.20  (let ((_let_1 (forall ((A $$unsorted) (B $$unsorted)) (not (and (tptp.r2_hidden A B) (tptp.v1_xboole_0 B)))))) (let ((_let_2 (forall ((A $$unsorted)) (=> (tptp.v1_xboole_0 A) (= A tptp.k1_xboole_0))))) (let ((_let_3 (forall ((A $$unsorted)) (let ((_let_1 (tptp.l3_lattices A))) (let ((_let_2 (tptp.v10_lattices A))) (let ((_let_3 (not (tptp.v3_struct_0 A)))) (=> (and _let_3 _let_2 (tptp.v4_lattice3 A) _let_1) (and _let_3 _let_2 (tptp.v13_lattices A) _let_1 (= (tptp.k5_lattices A) (tptp.k15_lattice3 A tptp.k1_xboole_0)))))))))) (let ((_let_4 (forall ((A $$unsorted)) (=> (and (not (tptp.v3_conlat_1 A)) (tptp.l2_conlat_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 (tptp.k11_conlat_1 A))) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k11_conlat_1 A))) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 _let_1)) (= (tptp.r3_lattices _let_1 B C) (tptp.r2_conlat_1 A (tptp.k12_conlat_1 A B) (tptp.k12_conlat_1 A C)))))))))))) (let ((_let_5 (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v4_lattice3 A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (= (= B (tptp.k16_lattice3 A C)) (and (tptp.r3_lattice3 A B C) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (=> (tptp.r3_lattice3 A D C) (tptp.r3_lattices A D B))))))))))))) (let ((_let_6 (forall ((A $$unsorted)) (=> (and (not (tptp.v3_conlat_1 A)) (tptp.l2_conlat_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v7_conlat_1 B A)) (tptp.v9_conlat_1 B A) (tptp.l3_conlat_1 B A)) (and (tptp.r2_conlat_1 A B (tptp.k5_conlat_1 A)) (tptp.r2_conlat_1 A (tptp.k6_conlat_1 A) B)))))))) (let ((_let_7 (forall ((A $$unsorted)) (let ((_let_1 (tptp.k11_conlat_1 A))) (=> (and (not (tptp.v3_conlat_1 A)) (tptp.l2_conlat_1 A)) (and (= (tptp.k5_lattices _let_1) (tptp.k6_conlat_1 A)) (= (tptp.k6_lattices _let_1) (tptp.k5_conlat_1 A)))))))) (let ((_let_8 (forall ((A $$unsorted)) (let ((_let_1 (tptp.k1_pre_topc A))) (=> (tptp.l1_struct_0 A) (and (tptp.v1_xboole_0 _let_1) (tptp.v1_membered _let_1) (tptp.v2_membered _let_1) (tptp.v3_membered _let_1) (tptp.v4_membered _let_1) (tptp.v5_membered _let_1))))))) (let ((_let_9 (forall ((A $$unsorted)) (let ((_let_1 (tptp.k11_conlat_1 A))) (=> (and (not (tptp.v3_conlat_1 A)) (tptp.l2_conlat_1 A)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v3_lattices _let_1) (tptp.v4_lattices _let_1) (tptp.v5_lattices _let_1) (tptp.v6_lattices _let_1) (tptp.v7_lattices _let_1) (tptp.v8_lattices _let_1) (tptp.v9_lattices _let_1) (tptp.v10_lattices _let_1) (tptp.v13_lattices _let_1) (tptp.v14_lattices _let_1) (tptp.v15_lattices _let_1) (tptp.v4_lattice3 _let_1))))))) (let ((_let_10 (forall ((A $$unsorted)) (=> (tptp.l3_lattices A) (and (tptp.l1_lattices A) (tptp.l2_lattices A)))))) (let ((_let_11 (forall ((A $$unsorted)) (=> (tptp.l1_lattices A) (tptp.l1_struct_0 A))))) (let ((_let_12 (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l2_lattices A)) (tptp.m1_subset_1 (tptp.k6_lattices A) (tptp.u1_struct_0 A)))))) (let ((_let_13 (forall ((A $$unsorted)) (=> (tptp.l1_struct_0 A) (tptp.m1_subset_1 (tptp.k1_pre_topc A) (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))))))) (let ((_let_14 (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k12_conlat_1 A B))) (=> (and (not (tptp.v3_conlat_1 A)) (tptp.l2_conlat_1 A) (tptp.m1_subset_1 B (tptp.u1_struct_0 (tptp.k11_conlat_1 A)))) (and (tptp.v6_conlat_1 _let_1 A) (not (tptp.v7_conlat_1 _let_1 A)) (tptp.v9_conlat_1 _let_1 A) (tptp.l3_conlat_1 _let_1 A))))))) (let ((_let_15 (forall ((A $$unsorted)) (let ((_let_1 (tptp.k11_conlat_1 A))) (=> (and (not (tptp.v3_conlat_1 A)) (tptp.l2_conlat_1 A)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v3_lattices _let_1) (tptp.l3_lattices _let_1))))))) (let ((_let_16 (forall ((A $$unsorted)) (=> (and (not (tptp.v3_conlat_1 A)) (tptp.l2_conlat_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k11_conlat_1 A))) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 _let_1))) (= (tptp.k3_conlat_2 A B) (tptp.k15_lattice3 _let_1 B))))))))) (let ((_let_17 (forall ((A $$unsorted)) (=> (and (not (tptp.v3_conlat_1 A)) (tptp.l2_conlat_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k11_conlat_1 A))) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 _let_1))) (= (tptp.k2_conlat_2 A B) (tptp.k16_lattice3 _let_1 B))))))))) (let ((_let_18 (forall ((A $$unsorted)) (=> (and (not (tptp.v3_conlat_1 A)) (tptp.l2_conlat_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 (tptp.k11_conlat_1 A))) (= (tptp.k12_conlat_1 A B) B))))))) (let ((_let_19 (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (= (tptp.r3_lattice3 A B C) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (=> (tptp.r2_hidden D C) (tptp.r1_lattices A B D)))))))))))) (let ((_let_20 (not (forall ((A $$unsorted)) (let ((_let_1 (tptp.k1_pre_topc (tptp.k11_conlat_1 A)))) (=> (and (not (tptp.v3_conlat_1 A)) (tptp.l2_conlat_1 A)) (and (= (tptp.k3_conlat_2 A _let_1) (tptp.k6_conlat_1 A)) (= (tptp.k2_conlat_2 A _let_1) (tptp.k5_conlat_1 A))))))))) (let ((_let_21 (tptp.k11_conlat_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_22 (tptp.k6_lattices _let_21))) (let ((_let_23 (tptp.k5_conlat_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_24 (= _let_23 _let_22))) (let ((_let_25 (tptp.k12_conlat_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_22))) (let ((_let_26 (= _let_22 _let_25))) (let ((_let_27 (tptp.k12_conlat_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_149))) (let ((_let_28 (tptp.r2_conlat_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_27 _let_25))) (let ((_let_29 (tptp.r2_conlat_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_27 _let_23))) (let ((_let_30 (tptp.k5_lattices _let_21))) (let ((_let_31 (tptp.k6_conlat_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_32 (= _let_31 _let_30))) (let ((_let_33 (and _let_32 _let_24))) (let ((_let_34 (tptp.l2_conlat_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_35 (not _let_34))) (let ((_let_36 (tptp.v3_conlat_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_37 (or _let_36 _let_35 _let_33))) (let ((_let_38 (forall ((A $$unsorted)) (let ((_let_1 (tptp.k11_conlat_1 A))) (or (tptp.v3_conlat_1 A) (not (tptp.l2_conlat_1 A)) (and (= (tptp.k5_lattices _let_1) (tptp.k6_conlat_1 A)) (= (tptp.k6_lattices _let_1) (tptp.k5_conlat_1 A)))))))) (let ((_let_39 (EQ_RESOLVE (ASSUME :args (_let_7)) (MACRO_SR_EQ_INTRO :args (_let_7 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_40 (tptp.k1_pre_topc _let_21))) (let ((_let_41 (tptp.k2_conlat_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_40))) (let ((_let_42 (= _let_41 _let_23))) (let ((_let_43 (tptp.k3_conlat_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_40))) (let ((_let_44 (= _let_43 _let_31))) (let ((_let_45 (and _let_44 _let_42))) (let ((_let_46 (or _let_36 _let_35 _let_45))) (let ((_let_47 (forall ((A $$unsorted)) (let ((_let_1 (tptp.k1_pre_topc (tptp.k11_conlat_1 A)))) (or (tptp.v3_conlat_1 A) (not (tptp.l2_conlat_1 A)) (and (= (tptp.k3_conlat_2 A _let_1) (tptp.k6_conlat_1 A)) (= (tptp.k2_conlat_2 A _let_1) (tptp.k5_conlat_1 A)))))))) (let ((_let_48 (not _let_46))) (let ((_let_49 (EQ_RESOLVE (ASSUME :args (_let_20)) (MACRO_SR_EQ_INTRO :args (_let_20 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_50 (or))) (let ((_let_51 (not _let_47))) (let ((_let_52 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_49) :args (_let_51))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_51) _let_47))) (REFL :args (_let_48)) :args _let_50)) _let_49 :args (_let_48 true _let_47)))) (let ((_let_53 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_46 1)) (CONG (REFL :args (_let_46)) (MACRO_SR_PRED_INTRO :args ((= (not _let_35) _let_34))) :args _let_50)) :args ((or _let_34 _let_46))) _let_52 :args (_let_34 true _let_46)))) (let ((_let_54 (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_46 0)) _let_52 :args ((not _let_36) true _let_46)))) (let ((_let_55 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_37)) :args ((or _let_36 _let_35 _let_33 (not _let_37)))) _let_54 _let_53 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_39 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.v3_conlat_1 A) true))))) :args (_let_38)))) _let_39 :args (_let_37 false _let_38)) :args (_let_33 true _let_36 false _let_34 false _let_37)))) (let ((_let_56 (not _let_33))) (let ((_let_57 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_33 1)) :args ((or _let_24 _let_56))) _let_55 :args (_let_24 false _let_33)))) (let ((_let_58 (tptp.u1_struct_0 _let_21))) (let ((_let_59 (tptp.m1_subset_1 _let_22 _let_58))) (let ((_let_60 (not _let_59))) (let ((_let_61 (or _let_36 _let_35 _let_60 _let_26))) (let ((_let_62 (forall ((A $$unsorted) (BOUND_VARIABLE_2397 $$unsorted)) (or (tptp.v3_conlat_1 A) (not (tptp.l2_conlat_1 A)) (not (tptp.m1_subset_1 BOUND_VARIABLE_2397 (tptp.u1_struct_0 (tptp.k11_conlat_1 A)))) (= BOUND_VARIABLE_2397 (tptp.k12_conlat_1 A BOUND_VARIABLE_2397)))))) (let ((_let_63 (EQ_RESOLVE (ASSUME :args (_let_18)) (MACRO_SR_EQ_INTRO :args (_let_18 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_64 (tptp.l2_lattices _let_21))) (let ((_let_65 (not _let_64))) (let ((_let_66 (tptp.v3_struct_0 _let_21))) (let ((_let_67 (or _let_66 _let_65 _let_59))) (let ((_let_68 (forall ((A $$unsorted)) (or (tptp.v3_struct_0 A) (not (tptp.l2_lattices A)) (tptp.m1_subset_1 (tptp.k6_lattices A) (tptp.u1_struct_0 A)))))) (let ((_let_69 (EQ_RESOLVE (ASSUME :args (_let_12)) (MACRO_SR_EQ_INTRO :args (_let_12 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_70 (tptp.l1_lattices _let_21))) (let ((_let_71 (and _let_70 _let_64))) (let ((_let_72 (tptp.l3_lattices _let_21))) (let ((_let_73 (not _let_72))) (let ((_let_74 (or _let_73 _let_71))) (let ((_let_75 (forall ((A $$unsorted)) (or (not (tptp.l3_lattices A)) (and (tptp.l1_lattices A) (tptp.l2_lattices A)))))) (let ((_let_76 (EQ_RESOLVE (ASSUME :args (_let_10)) (MACRO_SR_EQ_INTRO :args (_let_10 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_77 (tptp.v3_lattices _let_21))) (let ((_let_78 (not _let_66))) (let ((_let_79 (and _let_78 _let_77 _let_72))) (let ((_let_80 (or _let_36 _let_35 _let_79))) (let ((_let_81 (forall ((A $$unsorted)) (let ((_let_1 (tptp.k11_conlat_1 A))) (or (tptp.v3_conlat_1 A) (not (tptp.l2_conlat_1 A)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v3_lattices _let_1) (tptp.l3_lattices _let_1))))))) (let ((_let_82 (EQ_RESOLVE (ASSUME :args (_let_15)) (MACRO_SR_EQ_INTRO :args (_let_15 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_83 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_80)) :args ((or _let_36 _let_35 _let_79 (not _let_80)))) _let_54 _let_53 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_82 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.v3_conlat_1 A) true))))) :args (_let_81))) _let_82 :args (_let_80 false _let_81)) :args (_let_79 true _let_36 false _let_34 false _let_80)))) (let ((_let_84 (not _let_79))) (let ((_let_85 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_79 2)) :args ((or _let_72 _let_84))) _let_83 :args (_let_72 false _let_79)))) (let ((_let_86 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_74)) :args ((or _let_73 _let_71 (not _let_74)))) _let_85 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_76 :args (_let_21 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.l3_lattices A) false))))) :args (_let_75))) _let_76 :args (_let_74 false _let_75)) :args (_let_71 false _let_72 false _let_74)))) (let ((_let_87 (not _let_71))) (let ((_let_88 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_79 0)) :args ((or _let_78 _let_84))) _let_83 :args (_let_78 false _let_79)))) (let ((_let_89 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_67)) :args ((or _let_66 _let_65 _let_59 (not _let_67)))) _let_88 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_71 1)) :args ((or _let_64 _let_87))) _let_86 :args (_let_64 false _let_71)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_69 :args (_let_21 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.v3_struct_0 A) true))))) :args (_let_68))) _let_69 :args (_let_67 false _let_68)) :args (_let_59 true _let_66 false _let_64 false _let_67)))) (let ((_let_90 (tptp.r3_lattices _let_21 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_149 _let_22))) (let ((_let_91 (= _let_90 _let_28))) (let ((_let_92 (not _let_28))) (let ((_let_93 (tptp.m1_subset_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_149 _let_58))) (let ((_let_94 (not _let_93))) (let ((_let_95 (or _let_36 _let_35 _let_94 _let_60 _let_91))) (let ((_let_96 (forall ((A $$unsorted) (BOUND_VARIABLE_3260 $$unsorted) (BOUND_VARIABLE_3258 $$unsorted)) (let ((_let_1 (tptp.k11_conlat_1 A))) (let ((_let_2 (tptp.u1_struct_0 _let_1))) (or (tptp.v3_conlat_1 A) (not (tptp.l2_conlat_1 A)) (not (tptp.m1_subset_1 BOUND_VARIABLE_3258 _let_2)) (not (tptp.m1_subset_1 BOUND_VARIABLE_3260 _let_2)) (= (tptp.r3_lattices _let_1 BOUND_VARIABLE_3258 BOUND_VARIABLE_3260) (tptp.r2_conlat_1 A (tptp.k12_conlat_1 A BOUND_VARIABLE_3258) (tptp.k12_conlat_1 A BOUND_VARIABLE_3260))))))))) (let ((_let_97 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_98 (or _let_94 (not (tptp.r3_lattice3 _let_21 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_149 _let_40)) _let_90))) (let ((_let_99 (forall ((D $$unsorted)) (let ((_let_1 (tptp.k11_conlat_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (or (not (tptp.m1_subset_1 D (tptp.u1_struct_0 _let_1))) (not (tptp.r3_lattice3 _let_1 D (tptp.k1_pre_topc _let_1))) (tptp.r3_lattices _let_1 D (tptp.k6_lattices _let_1))))))) (let ((_let_100 (not _let_98))) (let ((_let_101 (tptp.r3_lattice3 _let_21 _let_22 _let_40))) (let ((_let_102 (and _let_101 _let_99))) (let ((_let_103 (not _let_99))) (let ((_let_104 (forall ((D $$unsorted)) (let ((_let_1 (tptp.k11_conlat_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (or (not (tptp.m1_subset_1 D (tptp.u1_struct_0 _let_1))) (not (tptp.r2_hidden D (tptp.k1_pre_topc _let_1))) (tptp.r1_lattices _let_1 (tptp.k6_lattices _let_1) D)))))) (let ((_let_105 (= _let_101 _let_104))) (let ((_let_106 (or _let_66 _let_73 _let_60 _let_105))) (let ((_let_107 (forall ((A $$unsorted) (BOUND_VARIABLE_2316 $$unsorted) (BOUND_VARIABLE_2314 $$unsorted)) (or (tptp.v3_struct_0 A) (not (tptp.l3_lattices A)) (not (tptp.m1_subset_1 BOUND_VARIABLE_2314 (tptp.u1_struct_0 A))) (= (tptp.r3_lattice3 A BOUND_VARIABLE_2314 BOUND_VARIABLE_2316) (forall ((D $$unsorted)) (or (not (tptp.m1_subset_1 D (tptp.u1_struct_0 A))) (not (tptp.r2_hidden D BOUND_VARIABLE_2316)) (tptp.r1_lattices A BOUND_VARIABLE_2314 D)))))))) (let ((_let_108 (EQ_RESOLVE (ASSUME :args (_let_19)) (MACRO_SR_EQ_INTRO :args (_let_19 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_109 (tptp.r2_hidden SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_291 _let_40))) (let ((_let_110 (not _let_109))) (let ((_let_111 (or (not (tptp.m1_subset_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_291 _let_58)) _let_110 (tptp.r1_lattices _let_21 _let_22 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_291)))) (let ((_let_112 (tptp.v1_xboole_0 _let_40))) (let ((_let_113 (not _let_112))) (let ((_let_114 (or _let_110 _let_113))) (let ((_let_115 (forall ((A $$unsorted) (B $$unsorted)) (or (not (tptp.r2_hidden A B)) (not (tptp.v1_xboole_0 B)))))) (let ((_let_116 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_117 (and _let_112 (tptp.v1_membered _let_40) (tptp.v2_membered _let_40) (tptp.v3_membered _let_40) (tptp.v4_membered _let_40) (tptp.v5_membered _let_40)))) (let ((_let_118 (tptp.l1_struct_0 _let_21))) (let ((_let_119 (not _let_118))) (let ((_let_120 (or _let_119 _let_117))) (let ((_let_121 (forall ((A $$unsorted)) (let ((_let_1 (tptp.k1_pre_topc A))) (or (not (tptp.l1_struct_0 A)) (and (tptp.v1_xboole_0 _let_1) (tptp.v1_membered _let_1) (tptp.v2_membered _let_1) (tptp.v3_membered _let_1) (tptp.v4_membered _let_1) (tptp.v5_membered _let_1))))))) (let ((_let_122 (EQ_RESOLVE (ASSUME :args (_let_8)) (MACRO_SR_EQ_INTRO :args (_let_8 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_123 (not _let_70))) (let ((_let_124 (or _let_123 _let_118))) (let ((_let_125 (forall ((A $$unsorted)) (or (not (tptp.l1_lattices A)) (tptp.l1_struct_0 A))))) (let ((_let_126 (EQ_RESOLVE (ASSUME :args (_let_11)) (MACRO_SR_EQ_INTRO :args (_let_11 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_127 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_124)) :args ((or _let_118 _let_123 (not _let_124)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_71 0)) :args ((or _let_70 _let_87))) _let_86 :args (_let_70 false _let_71)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_126 :args (_let_21 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.l1_struct_0 A) true))))) :args (_let_125))) _let_126 :args (_let_124 false _let_125)) :args (_let_118 false _let_70 false _let_124)))) (let ((_let_128 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_117 0)) :args ((or _let_112 (not _let_117)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_120)) :args ((or _let_119 _let_117 (not _let_120)))) _let_127 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_122 :args (_let_21 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.k1_pre_topc A)))) :args (_let_121))) _let_122 :args (_let_120 false _let_121)) :args (_let_117 false _let_118 false _let_120)) :args (_let_112 false _let_117)))) (let ((_let_129 (not _let_104))) (let ((_let_130 (_let_129))) (let ((_let_131 (tptp.k16_lattice3 _let_21 _let_40))) (let ((_let_132 (= _let_131 _let_22))) (let ((_let_133 (= _let_102 _let_132))) (let ((_let_134 (not _let_102))) (let ((_let_135 (tptp.v4_lattice3 _let_21))) (let ((_let_136 (not _let_135))) (let ((_let_137 (tptp.v10_lattices _let_21))) (let ((_let_138 (not _let_137))) (let ((_let_139 (or _let_66 _let_138 _let_136 _let_73 _let_60 _let_133))) (let ((_let_140 (forall ((A $$unsorted) (BOUND_VARIABLE_3208 $$unsorted) (BOUND_VARIABLE_3206 $$unsorted)) (or (tptp.v3_struct_0 A) (not (tptp.v10_lattices A)) (not (tptp.v4_lattice3 A)) (not (tptp.l3_lattices A)) (not (tptp.m1_subset_1 BOUND_VARIABLE_3206 (tptp.u1_struct_0 A))) (= (= BOUND_VARIABLE_3206 (tptp.k16_lattice3 A BOUND_VARIABLE_3208)) (and (tptp.r3_lattice3 A BOUND_VARIABLE_3206 BOUND_VARIABLE_3208) (forall ((D $$unsorted)) (or (not (tptp.m1_subset_1 D (tptp.u1_struct_0 A))) (not (tptp.r3_lattice3 A D BOUND_VARIABLE_3208)) (tptp.r3_lattices A D BOUND_VARIABLE_3206))))))))) (let ((_let_141 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_142 (tptp.v13_lattices _let_21))) (let ((_let_143 (and _let_78 _let_77 (tptp.v4_lattices _let_21) (tptp.v5_lattices _let_21) (tptp.v6_lattices _let_21) (tptp.v7_lattices _let_21) (tptp.v8_lattices _let_21) (tptp.v9_lattices _let_21) _let_137 _let_142 (tptp.v14_lattices _let_21) (tptp.v15_lattices _let_21) _let_135))) (let ((_let_144 (or _let_36 _let_35 _let_143))) (let ((_let_145 (forall ((A $$unsorted)) (let ((_let_1 (tptp.k11_conlat_1 A))) (or (tptp.v3_conlat_1 A) (not (tptp.l2_conlat_1 A)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v3_lattices _let_1) (tptp.v4_lattices _let_1) (tptp.v5_lattices _let_1) (tptp.v6_lattices _let_1) (tptp.v7_lattices _let_1) (tptp.v8_lattices _let_1) (tptp.v9_lattices _let_1) (tptp.v10_lattices _let_1) (tptp.v13_lattices _let_1) (tptp.v14_lattices _let_1) (tptp.v15_lattices _let_1) (tptp.v4_lattice3 _let_1))))))) (let ((_let_146 (EQ_RESOLVE (ASSUME :args (_let_9)) (MACRO_SR_EQ_INTRO :args (_let_9 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_147 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_144)) :args ((or _let_36 _let_35 _let_143 (not _let_144)))) _let_54 _let_53 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_146 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.v3_conlat_1 A) true))))) :args (_let_145))) _let_146 :args (_let_144 false _let_145)) :args (_let_143 true _let_36 false _let_34 false _let_144)))) (let ((_let_148 (not _let_143))) (let ((_let_149 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_143 12)) :args ((or _let_135 _let_148))) _let_147 :args (_let_135 false _let_143)))) (let ((_let_150 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_143 8)) :args ((or _let_137 _let_148))) _let_147 :args (_let_137 false _let_143)))) (let ((_let_151 (= _let_41 _let_131))) (let ((_let_152 (not _let_132))) (let ((_let_153 (tptp.m1_subset_1 _let_40 (tptp.k1_zfmisc_1 _let_58)))) (let ((_let_154 (not _let_153))) (let ((_let_155 (or _let_36 _let_35 _let_154 _let_151))) (let ((_let_156 (forall ((A $$unsorted) (BOUND_VARIABLE_2420 $$unsorted)) (let ((_let_1 (tptp.k11_conlat_1 A))) (or (tptp.v3_conlat_1 A) (not (tptp.l2_conlat_1 A)) (not (tptp.m1_subset_1 BOUND_VARIABLE_2420 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 _let_1)))) (= (tptp.k2_conlat_2 A BOUND_VARIABLE_2420) (tptp.k16_lattice3 _let_1 BOUND_VARIABLE_2420))))))) (let ((_let_157 (EQ_RESOLVE (ASSUME :args (_let_17)) (MACRO_SR_EQ_INTRO :args (_let_17 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_158 (or _let_119 _let_153))) (let ((_let_159 (forall ((A $$unsorted)) (or (not (tptp.l1_struct_0 A)) (tptp.m1_subset_1 (tptp.k1_pre_topc A) (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))))))) (let ((_let_160 (EQ_RESOLVE (ASSUME :args (_let_13)) (MACRO_SR_EQ_INTRO :args (_let_13 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_161 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_158)) :args ((or _let_153 _let_119 (not _let_158)))) _let_127 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_160 :args (_let_21 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.k1_pre_topc A)))) :args (_let_159))) _let_160 :args (_let_158 false _let_159)) :args (_let_153 false _let_118 false _let_158)))) (let ((_let_162 (not _let_42))) (let ((_let_163 (= tptp.k1_xboole_0 _let_40))) (let ((_let_164 (= _let_30 (tptp.k15_lattice3 _let_21 tptp.k1_xboole_0)))) (let ((_let_165 (= _let_43 (tptp.k15_lattice3 _let_21 _let_40)))) (let ((_let_166 (or _let_113 _let_163))) (let ((_let_167 (forall ((A $$unsorted)) (or (not (tptp.v1_xboole_0 A)) (= tptp.k1_xboole_0 A))))) (let ((_let_168 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_169 (and _let_78 _let_137 _let_142 _let_72 _let_164))) (let ((_let_170 (or _let_66 _let_138 _let_136 _let_73 _let_169))) (let ((_let_171 (forall ((A $$unsorted)) (let ((_let_1 (tptp.l3_lattices A))) (let ((_let_2 (tptp.v10_lattices A))) (let ((_let_3 (tptp.v3_struct_0 A))) (or _let_3 (not _let_2) (not (tptp.v4_lattice3 A)) (not _let_1) (and (not _let_3) _let_2 (tptp.v13_lattices A) _let_1 (= (tptp.k5_lattices A) (tptp.k15_lattice3 A tptp.k1_xboole_0)))))))))) (let ((_let_172 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_173 (or _let_36 _let_35 _let_154 _let_165))) (let ((_let_174 (forall ((A $$unsorted) (BOUND_VARIABLE_2444 $$unsorted)) (let ((_let_1 (tptp.k11_conlat_1 A))) (or (tptp.v3_conlat_1 A) (not (tptp.l2_conlat_1 A)) (not (tptp.m1_subset_1 BOUND_VARIABLE_2444 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 _let_1)))) (= (tptp.k3_conlat_2 A BOUND_VARIABLE_2444) (tptp.k15_lattice3 _let_1 BOUND_VARIABLE_2444))))))) (let ((_let_175 (EQ_RESOLVE (ASSUME :args (_let_16)) (MACRO_SR_EQ_INTRO :args (_let_16 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_176 (and _let_165 _let_32 _let_164 _let_163))) (let ((_let_177 (ASSUME :args (_let_32)))) (let ((_let_178 (ASSUME :args (_let_164)))) (let ((_let_179 (ASSUME :args (_let_163)))) (let ((_let_180 (ASSUME :args (_let_165)))) (let ((_let_181 (REFL :args ((not _let_24))))) (let ((_let_182 (and _let_162 _let_151 _let_24))) (let ((_let_183 (ASSUME :args (_let_162)))) (let ((_let_184 (ASSUME :args (_let_24)))) (let ((_let_185 (SYMM (SYMM _let_184)))) (let ((_let_186 (ASSUME :args (_let_151)))) (let ((_let_187 (_let_103))) (let ((_let_188 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_187)) :args _let_187)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_103) _let_99))) (REFL :args (_let_100)) :args _let_50)) (MACRO_RESOLUTION_TRUST (CNF_AND_NEG :args (_let_102)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_133)) :args ((or _let_132 _let_134 (not _let_133)))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_182)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_186 _let_183 _let_184) (SCOPE (FALSE_ELIM (TRANS (CONG (SYMM _let_186) (SYMM _let_185) :args (=)) (FALSE_INTRO _let_183))) :args (_let_151 _let_162 _let_24))) :args (_let_162 _let_151 _let_24))) :args (true _let_182)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_162) _let_42))) (REFL :args ((not _let_151))) _let_181 (REFL :args (_let_152)) :args _let_50)) (MACRO_RESOLUTION_TRUST (CNF_AND_NEG :args (_let_45)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_46 2)) _let_52 :args ((not _let_45) true _let_46)) (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_176)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_177 _let_178 _let_179 _let_180) (SCOPE (TRANS (SYMM (SYMM _let_180)) (CONG (REFL :args (_let_21)) (SYMM _let_179) :args (APPLY_UF tptp.k15_lattice3)) (SYMM _let_178) (SYMM _let_177)) :args (_let_32 _let_164 _let_163 _let_165))) :args (_let_165 _let_32 _let_164 _let_163))) :args (true _let_176)) :args ((or _let_44 (not _let_165) (not _let_32) (not _let_164) (not _let_163)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_173)) :args ((or _let_36 _let_35 _let_154 _let_165 (not _let_173)))) _let_54 _let_53 _let_161 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_175 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_40 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.k3_conlat_2 A BOUND_VARIABLE_2444)))) :args (_let_174))) _let_175 :args (_let_173 false _let_174)) :args (_let_165 true _let_36 false _let_34 false _let_153 false _let_173)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_33 0)) :args ((or _let_32 _let_56))) _let_55 :args (_let_32 false _let_33)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_169 4)) :args ((or _let_164 (not _let_169)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_170)) :args ((or _let_66 _let_73 _let_138 _let_136 _let_169 (not _let_170)))) _let_88 _let_85 _let_150 _let_149 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_172 :args (_let_21 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.v3_struct_0 A) true))))) :args (_let_171))) _let_172 :args (_let_170 false _let_171)) :args (_let_169 true _let_66 false _let_72 false _let_137 false _let_135 false 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(MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_108 :args (_let_21 _let_40 _let_22 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.r3_lattice3 A BOUND_VARIABLE_2314 BOUND_VARIABLE_2316)))) :args (_let_107))) _let_108 :args (_let_106 false _let_107)) :args (_let_105 true _let_66 false _let_72 false _let_59 false _let_106)) :args (_let_101 false _let_104 false _let_105)) :args (_let_103 true _let_102 false _let_101)) :args (_let_100 true _let_99)))) (let ((_let_189 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_98 0)) (CONG (REFL :args (_let_98)) (MACRO_SR_PRED_INTRO :args ((= (not _let_94) _let_93))) :args _let_50)) :args ((or _let_93 _let_98))) _let_188 :args (_let_93 true _let_98)))) (let ((_let_190 (and _let_29 (tptp.r2_conlat_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_31 _let_27)))) (let ((_let_191 (tptp.l3_conlat_1 _let_27 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_192 (not _let_191))) (let ((_let_193 (tptp.v9_conlat_1 _let_27 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((_let_1 (tptp.k12_conlat_1 A B))) (or (tptp.v3_conlat_1 A) (not (tptp.l2_conlat_1 A)) (not (tptp.m1_subset_1 B (tptp.u1_struct_0 (tptp.k11_conlat_1 A)))) (and (tptp.v6_conlat_1 _let_1 A) (not (tptp.v7_conlat_1 _let_1 A)) (tptp.v9_conlat_1 _let_1 A) (tptp.l3_conlat_1 _let_1 A))))))) (let ((_let_203 (EQ_RESOLVE (ASSUME :args (_let_14)) (MACRO_SR_EQ_INTRO :args (_let_14 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_204 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_201)) :args ((or _let_36 _let_35 _let_94 _let_200 (not _let_201)))) _let_54 _let_53 _let_189 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_203 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_149 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.m1_subset_1 B (tptp.u1_struct_0 (tptp.k11_conlat_1 A))) false))))) :args (_let_202))) _let_203 :args (_let_201 false _let_202)) :args (_let_200 true _let_36 false _let_34 false _let_93 false _let_201)))) (let ((_let_205 (not _let_200))) (let ((_let_206 (and _let_24 _let_26 _let_92))) (let ((_let_207 (ASSUME :args (_let_92)))) (let ((_let_208 (ASSUME :args (_let_26)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_206)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_207 _let_208 _let_184) (SCOPE (FALSE_ELIM (TRANS (CONG (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)) (REFL :args (_let_27)) (TRANS _let_185 (SYMM (SYMM _let_208))) :args (APPLY_UF tptp.r2_conlat_1)) (FALSE_INTRO _let_207))) :args (_let_92 _let_26 _let_24))) :args (_let_24 _let_26 _let_92))) :args (true _let_206)) (CONG _let_181 (REFL :args ((not _let_26))) (MACRO_SR_PRED_INTRO :args ((= (not _let_92) _let_28))) (REFL :args ((not _let_29))) :args _let_50)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_190 0)) :args ((or _let_29 (not _let_190)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_196)) :args ((or _let_36 _let_35 _let_195 _let_194 _let_192 _let_190 (not _let_196)))) _let_54 _let_53 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_200 1)) :args ((or _let_199 _let_205))) _let_204 :args (_let_199 false _let_200)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_200 2)) :args ((or _let_193 _let_205))) _let_204 :args (_let_193 false _let_200)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_200 3)) :args ((or _let_191 _let_205))) _let_204 :args (_let_191 false _let_200)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_198 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_27 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.v7_conlat_1 BOUND_VARIABLE_3153 A) true))))) :args (_let_197))) _let_198 :args (_let_196 false _let_197)) :args (_let_190 true _let_36 false _let_34 true _let_195 false _let_193 false _let_191 false _let_196)) :args (_let_29 false _let_190)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_91)) :args ((or _let_90 _let_92 (not _let_91)))) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_98 2)) _let_188 :args ((not _let_90) true _let_98)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_95)) :args ((or _let_36 _let_35 _let_60 _let_94 _let_91 (not _let_95)))) _let_54 _let_53 _let_89 _let_189 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_97 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_22 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_149 QUANTIFIERS_INST_E_MATCHING ((tptp.r3_lattices (tptp.k11_conlat_1 A) BOUND_VARIABLE_3258 BOUND_VARIABLE_3260)))) :args (_let_96))) _let_97 :args (_let_95 false _let_96)) :args (_let_91 true _let_36 false _let_34 false _let_59 false _let_93 false _let_95)) :args (_let_92 true _let_90 false _let_91)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_61)) :args ((or _let_36 _let_35 _let_60 _let_26 (not _let_61)))) _let_54 _let_53 _let_89 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_63 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_22 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.m1_subset_1 BOUND_VARIABLE_2397 (tptp.u1_struct_0 (tptp.k11_conlat_1 A))) false))))) :args (_let_62))) _let_63 :args (_let_61 false _let_62)) :args (_let_26 true _let_36 false _let_34 false _let_59 false _let_61)) _let_57 :args (false false _let_29 true _let_28 false _let_26 false _let_24)) :args (_let_20 (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 $$unsorted)) (=> (and (tptp.l1_conlat_1 A) (tptp.l3_conlat_1 B A)) (=> (tptp.v6_conlat_1 B A) (= B (tptp.g3_conlat_1 A (tptp.u4_conlat_1 A B) (tptp.u5_conlat_1 A B)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.r2_hidden A B) (not (tptp.r2_hidden B A)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.v1_funct_1 C))) (=> (tptp.m1_relset_1 C A B) (=> (and _let_1 (tptp.v1_partfun1 C A B)) (and _let_1 (tptp.v1_funct_2 C A B)))))) (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 $$unsorted)) (=> (and (tptp.v3_conlat_1 A) (tptp.l1_conlat_1 A)) (forall ((B $$unsorted)) (=> (tptp.l3_conlat_1 B A) (tptp.v8_conlat_1 B A))))) (forall ((A $$unsorted)) (let ((_let_1 (not (tptp.v3_struct_0 A)))) (=> (tptp.l3_lattices A) (=> (and _let_1 (tptp.v4_lattices A) (tptp.v5_lattices A) (tptp.v6_lattices A) (tptp.v7_lattices A) (tptp.v8_lattices A) (tptp.v9_lattices A)) (and _let_1 (tptp.v10_lattices A)))))) (forall ((A $$unsorted)) (let ((_let_1 (not (tptp.v3_struct_0 A)))) (=> (tptp.l3_lattices A) (=> (and _let_1 (tptp.v13_lattices A) (tptp.v14_lattices A)) (and _let_1 (tptp.v15_lattices A)))))) (forall ((A $$unsorted)) (let ((_let_1 (not (tptp.v3_struct_0 A)))) (=> (tptp.l3_lattices A) (=> (and _let_1 (tptp.v15_lattices A)) (and _let_1 (tptp.v13_lattices A) (tptp.v14_lattices A)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.v1_funct_2 C A B))) (let ((_let_2 (tptp.v1_funct_1 C))) (=> (tptp.m1_relset_1 C A B) (=> (and _let_2 _let_1) (and _let_2 (tptp.v1_partfun1 C A B) _let_1)))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (not (tptp.v1_xboole_0 B))) (forall ((C $$unsorted)) (let ((_let_1 (tptp.v1_funct_2 C A B))) (let ((_let_2 (tptp.v1_funct_1 C))) (=> (tptp.m1_relset_1 C A B) (=> (and _let_2 _let_1) (and _let_2 (not (tptp.v1_xboole_0 C)) (tptp.v1_partfun1 C A B) _let_1)))))))) _let_19 (forall ((A $$unsorted)) (=> (and (not (tptp.v3_conlat_1 A)) (tptp.l2_conlat_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v6_conlat_1 B A) (not (tptp.v7_conlat_1 B A)) (tptp.v9_conlat_1 B A) (tptp.l3_conlat_1 B A)) (= (tptp.k1_conlat_2 A B) B))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (= (tptp.k16_lattice3 A B) (tptp.k15_lattice3 A (tptp.a_2_1_lattice3 A B)))))) _let_18 _let_17 _let_16 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.g3_conlat_1 A B C))) (=> (and (tptp.l1_conlat_1 A) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_conlat_1 A))) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u2_conlat_1 A)))) (and (tptp.v6_conlat_1 _let_1 A) (tptp.l3_conlat_1 _let_1 A))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.g3_lattices A B C))) (let ((_let_2 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_2 A) (tptp.m1_relset_1 B _let_2 A) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 A) (tptp.m1_relset_1 C _let_2 A)) (and (tptp.v3_lattices _let_1) (tptp.l3_lattices _let_1)))))) _let_15 _let_14 (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l3_lattices A)) (tptp.m1_subset_1 (tptp.k15_lattice3 A B) (tptp.u1_struct_0 A)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l3_lattices A)) (tptp.m1_subset_1 (tptp.k16_lattice3 A B) (tptp.u1_struct_0 A)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_conlat_1 A)) (tptp.l2_conlat_1 A) (tptp.v6_conlat_1 B A) (not (tptp.v7_conlat_1 B A)) (tptp.v9_conlat_1 B A) (tptp.l3_conlat_1 B A)) (tptp.m1_subset_1 (tptp.k1_conlat_2 A B) (tptp.u1_struct_0 (tptp.k11_conlat_1 A))))) _let_13 true true (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k2_conlat_2 A B))) (=> (and (not (tptp.v3_conlat_1 A)) (tptp.l2_conlat_1 A) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 (tptp.k11_conlat_1 A))))) (and (not (tptp.v7_conlat_1 _let_1 A)) (tptp.v9_conlat_1 _let_1 A) (tptp.l3_conlat_1 _let_1 A))))) true (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k3_conlat_2 A B))) (=> (and (not (tptp.v3_conlat_1 A)) (tptp.l2_conlat_1 A) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 (tptp.k11_conlat_1 A))))) (and (not (tptp.v7_conlat_1 _let_1 A)) (tptp.v9_conlat_1 _let_1 A) (tptp.l3_conlat_1 _let_1 A))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k5_conlat_1 A))) (=> (and (not (tptp.v3_conlat_1 A)) (tptp.l2_conlat_1 A)) (and (tptp.v6_conlat_1 _let_1 A) (not (tptp.v7_conlat_1 _let_1 A)) (tptp.v9_conlat_1 _let_1 A) (tptp.v10_conlat_1 _let_1 A) (tptp.l3_conlat_1 _let_1 A))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_lattices A)) (tptp.m1_subset_1 (tptp.k5_lattices A) (tptp.u1_struct_0 A)))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k6_conlat_1 A))) (=> (and (not (tptp.v3_conlat_1 A)) (tptp.l2_conlat_1 A)) (and (tptp.v6_conlat_1 _let_1 A) (not (tptp.v7_conlat_1 _let_1 A)) (tptp.v9_conlat_1 _let_1 A) (tptp.v11_conlat_1 _let_1 A) (tptp.l3_conlat_1 _let_1 A))))) _let_12 true _let_11 true (forall ((A $$unsorted)) (=> (tptp.l2_conlat_1 A) (tptp.l1_conlat_1 A))) (forall ((A $$unsorted)) (=> (tptp.l2_lattices A) (tptp.l1_struct_0 A))) true _let_10 true true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.m2_relset_1 C A B) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.k2_zfmisc_1 A B))))) true (forall ((A $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.k2_zfmisc_1 _let_1 _let_1))) (let ((_let_3 (tptp.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 true (forall ((A $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.k2_zfmisc_1 _let_1 _let_1))) (let ((_let_3 (tptp.u2_lattices A))) (=> (tptp.l2_lattices A) (and (tptp.v1_funct_1 _let_3) (tptp.v1_funct_2 _let_3 _let_2 _let_1) (tptp.m2_relset_1 _let_3 _let_2 _let_1))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.l1_conlat_1 A) (tptp.l3_conlat_1 B A)) (tptp.m1_subset_1 (tptp.u4_conlat_1 A B) (tptp.k1_zfmisc_1 (tptp.u1_conlat_1 A))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.l1_conlat_1 A) (tptp.l3_conlat_1 B A)) (tptp.m1_subset_1 (tptp.u5_conlat_1 A B) (tptp.k1_zfmisc_1 (tptp.u2_conlat_1 A))))) (exists ((A $$unsorted)) (tptp.l1_conlat_1 A)) (exists ((A $$unsorted)) (tptp.l1_lattices A)) (exists ((A $$unsorted)) (tptp.l1_struct_0 A)) (exists ((A $$unsorted)) (tptp.l2_conlat_1 A)) (exists ((A $$unsorted)) (tptp.l2_lattices A)) (forall ((A $$unsorted)) (=> (tptp.l1_conlat_1 A) (exists ((B $$unsorted)) (tptp.l3_conlat_1 B A)))) (exists ((A $$unsorted)) (tptp.l3_lattices A)) (forall ((A $$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 $$unsorted) (B $$unsorted)) (exists ((C $$unsorted)) (tptp.m2_relset_1 C A B))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_conlat_1 A)) (tptp.l1_conlat_1 A)) (not (tptp.v1_xboole_0 (tptp.u2_conlat_1 A))))) _let_9 _let_8 (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 $$unsorted)) (=> (and (not (tptp.v3_conlat_1 A)) (tptp.l1_conlat_1 A)) (not (tptp.v1_xboole_0 (tptp.u1_conlat_1 A))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.k2_zfmisc_1 _let_1 _let_1))) (let ((_let_3 (tptp.u2_lattices A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.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 $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.k2_zfmisc_1 _let_1 _let_1))) (let ((_let_3 (tptp.u2_lattices A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v5_lattices A) (tptp.l2_lattices A)) (and (tptp.v1_relat_1 _let_3) (tptp.v1_funct_1 _let_3) (tptp.v1_funct_2 _let_3 _let_2 _let_1) (tptp.v2_binop_1 _let_3 _let_1) (tptp.v1_partfun1 _let_3 _let_2 _let_1))))))) (forall ((A $$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 $$unsorted)) (let ((_let_1 (tptp.k11_conlat_1 A))) (=> (and (not (tptp.v3_conlat_1 A)) (tptp.l2_conlat_1 A)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v3_lattices _let_1) (tptp.v4_lattices _let_1) (tptp.v5_lattices _let_1) (tptp.v6_lattices _let_1) (tptp.v7_lattices _let_1) (tptp.v8_lattices _let_1) (tptp.v9_lattices _let_1) (tptp.v10_lattices _let_1))))) (forall ((A $$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 $$unsorted)) (let ((_let_1 (tptp.k11_conlat_1 A))) (=> (and (not (tptp.v3_conlat_1 A)) (tptp.l2_conlat_1 A)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v3_lattices _let_1) (tptp.v4_lattices _let_1) (tptp.v5_lattices _let_1) (tptp.v6_lattices _let_1) (tptp.v7_lattices _let_1) (tptp.v8_lattices _let_1) (tptp.v9_lattices _let_1) (tptp.v10_lattices _let_1) (tptp.v4_lattice3 _let_1))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.k2_zfmisc_1 _let_1 _let_1))) (let ((_let_3 (tptp.u1_lattices A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v7_lattices A) (tptp.l1_lattices A)) (and (tptp.v1_relat_1 _let_3) (tptp.v1_funct_1 _let_3) (tptp.v1_funct_2 _let_3 _let_2 _let_1) (tptp.v2_binop_1 _let_3 _let_1) (tptp.v1_partfun1 _let_3 _let_2 _let_1))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.l3_lattices B)) (= (tptp.r2_hidden A (tptp.a_2_1_lattice3 B C)) (exists ((D $$unsorted)) (and (tptp.m1_subset_1 D (tptp.u1_struct_0 B)) (= A D) (tptp.r3_lattice3 B D C)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.l1_conlat_1 A) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_conlat_1 A))) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u2_conlat_1 A)))) (forall ((D $$unsorted) (E $$unsorted) (F $$unsorted)) (=> (= (tptp.g3_conlat_1 A B C) (tptp.g3_conlat_1 D E F)) (and (= A D) (= B E) (= C F)))))) (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))))))) (forall ((A $$unsorted)) (=> (tptp.l1_conlat_1 A) (exists ((B $$unsorted)) (and (tptp.l3_conlat_1 B A) (tptp.v6_conlat_1 B A))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_conlat_1 A)) (tptp.l1_conlat_1 A)) (exists ((B $$unsorted)) (and (tptp.l3_conlat_1 B A) (tptp.v6_conlat_1 B A) (not (tptp.v7_conlat_1 B A)))))) (exists ((A $$unsorted)) (and (tptp.l3_lattices A) (not (tptp.v3_struct_0 A)) (tptp.v3_lattices A) (tptp.v4_lattices A) (tptp.v5_lattices A) (tptp.v6_lattices A) (tptp.v7_lattices A) (tptp.v8_lattices A) (tptp.v9_lattices A) (tptp.v10_lattices A) (tptp.v13_lattices A) (tptp.v14_lattices A) (tptp.v15_lattices A))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_conlat_1 A)) (tptp.l1_conlat_1 A)) (exists ((B $$unsorted)) (and (tptp.l3_conlat_1 B A) (tptp.v6_conlat_1 B A) (tptp.v8_conlat_1 B A))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_conlat_1 A)) (tptp.l2_conlat_1 A)) (exists ((B $$unsorted)) (and (tptp.l3_conlat_1 B A) (not (tptp.v7_conlat_1 B A)) (tptp.v9_conlat_1 B A))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_conlat_1 A)) (tptp.l2_conlat_1 A)) (exists ((B $$unsorted)) (and (tptp.l3_conlat_1 B A) (tptp.v6_conlat_1 B A) (not (tptp.v7_conlat_1 B A)) (tptp.v9_conlat_1 B A))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_conlat_1 A)) (tptp.l2_conlat_1 A)) (exists ((B $$unsorted)) (and (tptp.l3_conlat_1 B A) (tptp.v6_conlat_1 B A) (not (tptp.v7_conlat_1 B A)) (tptp.v9_conlat_1 B A) (tptp.v10_conlat_1 B A))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_conlat_1 A)) (tptp.l2_conlat_1 A)) (exists ((B $$unsorted)) (and (tptp.l3_conlat_1 B A) (tptp.v6_conlat_1 B A) (not (tptp.v7_conlat_1 B A)) (tptp.v9_conlat_1 B A) (tptp.v11_conlat_1 B A))))) (forall ((A $$unsorted) (B $$unsorted)) (exists ((C $$unsorted)) (and (tptp.m1_relset_1 C A B) (tptp.v1_relat_1 C) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C A 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 $$unsorted)) (tptp.v1_xboole_0 A)) (forall ((A $$unsorted) (B $$unsorted)) (exists ((C $$unsorted)) (and (tptp.m1_relset_1 C A B) (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)))) (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.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))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_conlat_1 A)) (tptp.l1_conlat_1 A)) (exists ((B $$unsorted)) (and (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_conlat_1 A))) (not (tptp.v1_xboole_0 B)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_conlat_1 A)) (tptp.l1_conlat_1 A)) (exists ((B $$unsorted)) (and (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u2_conlat_1 A))) (not (tptp.v1_xboole_0 B)))))) (exists ((A $$unsorted)) (and (tptp.l3_lattices A) (not (tptp.v3_struct_0 A)) (tptp.v3_lattices A) (tptp.v4_lattices A) (tptp.v5_lattices A) (tptp.v6_lattices A) (tptp.v7_lattices A) (tptp.v8_lattices A) (tptp.v9_lattices A) (tptp.v10_lattices A))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.m2_relset_1 C A B) (tptp.m1_relset_1 C A B))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v6_lattices A) (tptp.v8_lattices A) (tptp.v9_lattices A) (tptp.l3_lattices A) (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (= (tptp.r3_lattices A B C) (tptp.r1_lattices A B C))))) (forall ((A $$unsorted) (B $$unsorted)) (tptp.r1_tarski A A)) (forall ((A $$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.v8_lattices A) (tptp.v9_lattices A) (tptp.l3_lattices A) (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (tptp.r3_lattices A B B)))) _let_7 (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 $$unsorted)) (= (tptp.r2_hidden C A) (tptp.r2_hidden C B))) (= A B))) _let_6 _let_5 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.m1_subset_1 A (tptp.k1_zfmisc_1 B)) (tptp.r1_tarski A B))) _let_4 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.r2_hidden A B) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 C))) (tptp.m1_subset_1 A C))) _let_3 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (not (and (tptp.r2_hidden A B) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 C)) (tptp.v1_xboole_0 C)))) _let_2 _let_1 (forall ((A $$unsorted) (B $$unsorted)) (not (and (tptp.v1_xboole_0 A) (not (= A B)) (tptp.v1_xboole_0 B)))) true)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 5.03/5.22  )
% 5.03/5.22  % SZS output end Proof for LAT339+1
% 5.03/5.22  % cvc5---1.0.5 exiting
% 5.03/5.23  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------