TSTP Solution File: LAT334+1 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : LAT334+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n016.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 06:04:09 EDT 2023
% Result : Theorem 32.98s 33.18s
% Output : Proof 32.98s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : LAT334+1 : TPTP v8.1.2. Released v3.4.0.
% 0.00/0.15 % Command : do_cvc5 %s %d
% 0.16/0.36 % Computer : n016.cluster.edu
% 0.16/0.36 % Model : x86_64 x86_64
% 0.16/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36 % Memory : 8042.1875MB
% 0.16/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36 % CPULimit : 300
% 0.16/0.36 % WCLimit : 300
% 0.16/0.36 % DateTime : Thu Aug 24 04:58:53 EDT 2023
% 0.16/0.36 % CPUTime :
% 0.22/0.52 %----Proving TF0_NAR, FOF, or CNF
% 32.98/33.18 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.d6hyr4TZf3/cvc5---1.0.5_780.p...
% 32.98/33.18 ------- get file name : TPTP file name is LAT334+1
% 32.98/33.18 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_780.smt2...
% 32.98/33.18 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 32.98/33.18 --- Run --no-e-matching --full-saturate-quant at 5...
% 32.98/33.18 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 5...
% 32.98/33.18 --- Run --finite-model-find --uf-ss=no-minimal at 5...
% 32.98/33.18 --- Run --multi-trigger-when-single --full-saturate-quant at 5...
% 32.98/33.18 --- Run --trigger-sel=max --full-saturate-quant at 5...
% 32.98/33.18 % SZS status Theorem for LAT334+1
% 32.98/33.18 % SZS output start Proof for LAT334+1
% 32.98/33.18 (
% 32.98/33.18 (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.m2_lattice4 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.u1_struct_0 (tptp.k23_filter_2 A B))) (forall ((F $$unsorted)) (let ((_let_1 (tptp.k23_filter_2 A B))) (=> (tptp.m1_subset_1 F (tptp.u1_struct_0 _let_1)) (=> (and (= C E) (= D F)) (= (tptp.r3_lattices A C D) (tptp.r3_lattices _let_1 E F)))))))))))))))))) (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.m2_lattice4 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.u1_struct_0 (tptp.k23_filter_2 A B))) (forall ((F $$unsorted)) (let ((_let_1 (tptp.k23_filter_2 A B))) (=> (tptp.m1_subset_1 F (tptp.u1_struct_0 _let_1)) (=> (and (= C E) (= D F)) (and (= (tptp.k3_lattices A C D) (tptp.k3_lattices _let_1 E F)) (= (tptp.k4_lattices A C D) (tptp.k4_lattices _let_1 E F))))))))))))))))))) (let ((_let_3 (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m2_nat_lat B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 B)) (tptp.m1_subset_1 C (tptp.u1_struct_0 A)))))))))) (let ((_let_4 (forall ((A $$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))))))) (let ((_let_5 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v6_lattices A) (tptp.l1_lattices A) (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (= (tptp.k4_lattices A B C) (tptp.k2_lattices A B C))))))) (let ((_let_6 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_lattices A) (tptp.l2_lattices A) (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (= (tptp.k3_lattices A B C) (tptp.k1_lattices A B C))))))) (let ((_let_7 (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k23_filter_2 A B))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A) (not (tptp.v1_xboole_0 B)) (tptp.m2_lattice4 B 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_8 (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m2_nat_lat B A) (and (not (tptp.v3_struct_0 B)) (tptp.v10_lattices B) (tptp.l3_lattices B)))))))) (let ((_let_9 (forall ((A $$unsorted)) (=> (tptp.l3_lattices A) (and (tptp.l1_lattices A) (tptp.l2_lattices A)))))) (let ((_let_10 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_lattices A) (tptp.l2_lattices A) (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (tptp.m1_subset_1 (tptp.k3_lattices A B C) _let_1)))))) (let ((_let_11 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_lattices A) (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (tptp.m1_subset_1 (tptp.k2_lattices A B C) _let_1)))))) (let ((_let_12 (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A) (not (tptp.v1_xboole_0 B)) (tptp.m2_lattice4 B A)) (tptp.m2_nat_lat (tptp.k23_filter_2 A B) A))))) (let ((_let_13 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l2_lattices A) (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (tptp.m1_subset_1 (tptp.k1_lattices A B C) _let_1)))))) (let ((_let_14 (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l3_lattices A)) (= (tptp.v12_lattices A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (=> (tptp.r1_lattices A B D) (= (tptp.k1_lattices A B (tptp.k2_lattices A C D)) (tptp.k2_lattices A (tptp.k1_lattices A B C) D)))))))))))))) (let ((_let_15 (forall ((A $$unsorted)) (let ((_let_1 (not (tptp.v3_struct_0 A)))) (=> (tptp.l3_lattices A) (=> (and _let_1 (tptp.v10_lattices A)) (and _let_1 (tptp.v4_lattices A) (tptp.v5_lattices A) (tptp.v6_lattices A) (tptp.v7_lattices A) (tptp.v8_lattices A) (tptp.v9_lattices A)))))))) (let ((_let_16 (not (forall ((A $$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.m2_lattice4 B A)) (=> (tptp.v12_lattices A) (tptp.v12_lattices (tptp.k23_filter_2 A B)))))))))) (let ((_let_17 (tptp.k23_filter_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_18 (tptp.k1_lattices _let_17 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_37 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_39))) (let ((_let_19 (tptp.k2_lattices _let_17 _let_18 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_38))) (let ((_let_20 (tptp.k2_lattices _let_17 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_39 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_38))) (let ((_let_21 (tptp.k1_lattices _let_17 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_37 _let_20))) (let ((_let_22 (= _let_21 _let_19))) (let ((_let_23 (tptp.k4_lattices _let_17 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_39 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_38))) (let ((_let_24 (= _let_20 _let_23))) (let ((_let_25 (tptp.k3_lattices _let_17 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_37 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_39))) (let ((_let_26 (= _let_18 _let_25))) (let ((_let_27 (tptp.k4_lattices _let_17 _let_18 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_38))) (let ((_let_28 (= _let_19 _let_27))) (let ((_let_29 (tptp.k3_lattices _let_17 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_37 _let_20))) (let ((_let_30 (= _let_21 _let_29))) (let ((_let_31 (tptp.k3_lattices SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_37 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_39))) (let ((_let_32 (= _let_25 _let_31))) (let ((_let_33 (tptp.k4_lattices SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_18 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_38))) (let ((_let_34 (= _let_27 _let_33))) (let ((_let_35 (tptp.k4_lattices SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_39 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_38))) (let ((_let_36 (= _let_23 _let_35))) (let ((_let_37 (tptp.k3_lattices SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_37 _let_20))) (let ((_let_38 (= _let_29 _let_37))) (let ((_let_39 (tptp.k1_lattices SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_37 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_39))) (let ((_let_40 (= _let_31 _let_39))) (let ((_let_41 (= _let_37 (tptp.k1_lattices SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_37 _let_20)))) (let ((_let_42 (tptp.k2_lattices SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_39 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_38))) (let ((_let_43 (= _let_35 _let_42))) (let ((_let_44 (= _let_33 (tptp.k2_lattices SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_18 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_38)))) (let ((_let_45 (= (tptp.k1_lattices SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_37 _let_42) (tptp.k2_lattices SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_39 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_38)))) (let ((_let_46 (tptp.r1_lattices _let_17 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_37 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_38))) (let ((_let_47 (not _let_46))) (let ((_let_48 (tptp.u1_struct_0 _let_17))) (let ((_let_49 (tptp.m1_subset_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_38 _let_48))) (let ((_let_50 (not _let_49))) (let ((_let_51 (tptp.m1_subset_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_39 _let_48))) (let ((_let_52 (not _let_51))) (let ((_let_53 (tptp.m1_subset_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_37 _let_48))) (let ((_let_54 (not _let_53))) (let ((_let_55 (or _let_54 _let_52 _let_50 _let_47 _let_22))) (let ((_let_56 (not _let_22))) (let ((_let_57 (forall ((B $$unsorted) (BOUND_VARIABLE_1946 $$unsorted) (BOUND_VARIABLE_1944 $$unsorted)) (let ((_let_1 (tptp.k23_filter_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_2 (tptp.u1_struct_0 _let_1))) (or (not (tptp.m1_subset_1 B _let_2)) (not (tptp.m1_subset_1 BOUND_VARIABLE_1944 _let_2)) (not (tptp.m1_subset_1 BOUND_VARIABLE_1946 _let_2)) (not (tptp.r1_lattices _let_1 B BOUND_VARIABLE_1946)) (= (tptp.k1_lattices _let_1 B (tptp.k2_lattices _let_1 BOUND_VARIABLE_1944 BOUND_VARIABLE_1946)) (tptp.k2_lattices _let_1 (tptp.k1_lattices _let_1 B BOUND_VARIABLE_1944) BOUND_VARIABLE_1946)))))))) (let ((_let_58 (not _let_55))) (let ((_let_59 (tptp.v12_lattices _let_17))) (let ((_let_60 (= _let_59 _let_57))) (let ((_let_61 (not _let_57))) (let ((_let_62 (tptp.l3_lattices _let_17))) (let ((_let_63 (not _let_62))) (let ((_let_64 (tptp.v3_struct_0 _let_17))) (let ((_let_65 (or _let_64 _let_63 _let_60))) (let ((_let_66 (forall ((A $$unsorted)) (or (tptp.v3_struct_0 A) (not (tptp.l3_lattices A)) (= (tptp.v12_lattices A) (forall ((B $$unsorted) (BOUND_VARIABLE_1946 $$unsorted) (BOUND_VARIABLE_1944 $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (or (not (tptp.m1_subset_1 B _let_1)) (not (tptp.m1_subset_1 BOUND_VARIABLE_1944 _let_1)) (not (tptp.m1_subset_1 BOUND_VARIABLE_1946 _let_1)) (not (tptp.r1_lattices A B BOUND_VARIABLE_1946)) (= (tptp.k1_lattices A B (tptp.k2_lattices A BOUND_VARIABLE_1944 BOUND_VARIABLE_1946)) (tptp.k2_lattices A (tptp.k1_lattices A B BOUND_VARIABLE_1944) BOUND_VARIABLE_1946)))))))))) (let ((_let_67 (EQ_RESOLVE (ASSUME :args (_let_14)) (MACRO_SR_EQ_INTRO :args (_let_14 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_68 (_let_66))) (let ((_let_69 (tptp.v10_lattices _let_17))) (let ((_let_70 (not _let_64))) (let ((_let_71 (and _let_70 _let_69 _let_62))) (let ((_let_72 (tptp.m2_nat_lat _let_17 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_73 (not _let_72))) (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_71))) (let ((_let_80 (forall ((A $$unsorted) (BOUND_VARIABLE_2193 $$unsorted)) (or (tptp.v3_struct_0 A) (not (tptp.v10_lattices A)) (not (tptp.l3_lattices A)) (not (tptp.m2_nat_lat BOUND_VARIABLE_2193 A)) (and (not (tptp.v3_struct_0 BOUND_VARIABLE_2193)) (tptp.v10_lattices BOUND_VARIABLE_2193) (tptp.l3_lattices BOUND_VARIABLE_2193)))))) (let ((_let_81 (EQ_RESOLVE (ASSUME :args (_let_8)) (MACRO_SR_EQ_INTRO :args (_let_8 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_82 (tptp.m2_lattice4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_83 (not _let_82))) (let ((_let_84 (tptp.v1_xboole_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_85 (or _let_78 _let_77 _let_75 _let_84 _let_83 _let_72))) (let ((_let_86 (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.m2_lattice4 B A)) (tptp.m2_nat_lat (tptp.k23_filter_2 A B) A))))) (let ((_let_87 (EQ_RESOLVE (ASSUME :args (_let_12)) (MACRO_SR_EQ_INTRO :args (_let_12 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_88 (tptp.v12_lattices SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_89 (not _let_88))) (let ((_let_90 (or _let_78 _let_77 _let_75 _let_89 _let_84 _let_83 _let_59))) (let ((_let_91 (forall ((A $$unsorted) (BOUND_VARIABLE_1830 $$unsorted)) (or (tptp.v3_struct_0 A) (not (tptp.v10_lattices A)) (not (tptp.l3_lattices A)) (not (tptp.v12_lattices A)) (tptp.v1_xboole_0 BOUND_VARIABLE_1830) (not (tptp.m2_lattice4 BOUND_VARIABLE_1830 A)) (tptp.v12_lattices (tptp.k23_filter_2 A BOUND_VARIABLE_1830)))))) (let ((_let_92 (not _let_90))) (let ((_let_93 (EQ_RESOLVE (ASSUME :args (_let_16)) (MACRO_SR_EQ_INTRO :args (_let_16 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_94 (or))) (let ((_let_95 (not _let_91))) (let ((_let_96 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_93) :args (_let_95))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_95) _let_91))) (REFL :args (_let_92)) :args _let_94)) _let_93 :args (_let_92 true _let_91)))) (let ((_let_97 (REFL :args (_let_90)))) (let ((_let_98 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_90 5)) (CONG _let_97 (MACRO_SR_PRED_INTRO :args ((= (not _let_83) _let_82))) :args _let_94)) :args ((or _let_82 _let_90))) _let_96 :args (_let_82 true _let_90)))) (let ((_let_99 (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_90 4)) _let_96 :args ((not _let_84) true _let_90)))) (let ((_let_100 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_90 2)) (CONG _let_97 (MACRO_SR_PRED_INTRO :args ((= (not _let_75) _let_74))) :args _let_94)) :args ((or _let_74 _let_90))) _let_96 :args (_let_74 true _let_90)))) (let ((_let_101 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_90 1)) (CONG _let_97 (MACRO_SR_PRED_INTRO :args ((= (not _let_77) _let_76))) :args _let_94)) :args ((or _let_76 _let_90))) _let_96 :args (_let_76 true _let_90)))) (let ((_let_102 (not _let_78))) (let ((_let_103 (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_90 0)) _let_96 :args (_let_102 true _let_90)))) (let ((_let_104 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_85)) :args ((or _let_78 _let_77 _let_75 _let_84 _let_83 _let_72 (not _let_85)))) _let_103 _let_101 _let_100 _let_99 _let_98 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_87 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.m2_lattice4 B A) false))))) :args (_let_86))) _let_87 :args (_let_85 false _let_86)) :args (_let_72 true _let_78 false _let_76 false _let_74 true _let_84 false _let_82 false _let_85)))) (let ((_let_105 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_71 2)) :args ((or _let_62 (not _let_71)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_79)) :args ((or _let_78 _let_77 _let_75 _let_73 _let_71 (not _let_79)))) _let_103 _let_101 _let_100 _let_104 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_81 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_17 QUANTIFIERS_INST_CBQI_CONFLICT)) :args (_let_80))) _let_81 :args (_let_79 false _let_80)) :args (_let_71 true _let_78 false _let_76 false _let_74 false _let_72 false _let_79)) :args (_let_62 false _let_71)))) (let ((_let_106 (tptp.v9_lattices _let_17))) (let ((_let_107 (tptp.v8_lattices _let_17))) (let ((_let_108 (tptp.v6_lattices _let_17))) (let ((_let_109 (tptp.v4_lattices _let_17))) (let ((_let_110 (and _let_70 (tptp.v3_lattices _let_17) _let_109 (tptp.v5_lattices _let_17) _let_108 (tptp.v7_lattices _let_17) _let_107 _let_106 _let_69))) (let ((_let_111 (or _let_78 _let_77 _let_75 _let_84 _let_83 _let_110))) (let ((_let_112 (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k23_filter_2 A B))) (or (tptp.v3_struct_0 A) (not (tptp.v10_lattices A)) (not (tptp.l3_lattices A)) (tptp.v1_xboole_0 B) (not (tptp.m2_lattice4 B 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_113 (EQ_RESOLVE (ASSUME :args (_let_7)) (MACRO_SR_EQ_INTRO :args (_let_7 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_114 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_111)) :args ((or _let_78 _let_77 _let_75 _let_84 _let_83 _let_110 (not _let_111)))) _let_103 _let_101 _let_100 _let_99 _let_98 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_113 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.m2_lattice4 B A) false))))) :args (_let_112))) _let_113 :args (_let_111 false _let_112)) :args (_let_110 true _let_78 false _let_76 false _let_74 true _let_84 false _let_82 false _let_111)))) (let ((_let_115 (not _let_110))) (let ((_let_116 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_110 0)) :args ((or _let_70 _let_115))) _let_114 :args (_let_70 false _let_110)))) (let ((_let_117 (_let_61))) (let ((_let_118 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_117)) :args _let_117)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_61) _let_57))) (REFL :args (_let_58)) :args _let_94)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_60)) :args ((or _let_59 _let_61 (not _let_60)))) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_90 6)) _let_96 :args ((not _let_59) true _let_90)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_65)) :args ((or _let_64 _let_63 _let_60 (not _let_65)))) _let_116 _let_105 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_67 :args (_let_17 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(and _let_119 _let_127))) (let ((_let_129 (or _let_63 _let_128))) (let ((_let_130 (forall ((A $$unsorted)) (or (not (tptp.l3_lattices A)) (and (tptp.l1_lattices A) (tptp.l2_lattices A)))))) (let ((_let_131 (EQ_RESOLVE (ASSUME :args (_let_9)) (MACRO_SR_EQ_INTRO :args (_let_9 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_132 (_let_130))) (let ((_let_133 ((not (= (tptp.l3_lattices A) false))))) (let ((_let_134 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_129)) :args ((or _let_63 _let_128 (not _let_129)))) _let_105 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_131 :args (_let_17 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_133)) :args _let_132)) _let_131 :args (_let_129 false _let_130)) :args (_let_128 false _let_62 false _let_129)))) (let ((_let_135 (not _let_128))) (let ((_let_136 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_128 0)) :args ((or _let_119 _let_135))) _let_134 :args (_let_119 false _let_128)))) (let ((_let_137 (REFL :args (_let_55)))) (let ((_let_138 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_55 2)) (CONG _let_137 (MACRO_SR_PRED_INTRO :args ((= (not _let_50) _let_49))) :args _let_94)) :args ((or _let_49 _let_55))) _let_118 :args (_let_49 true _let_55)))) (let ((_let_139 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_55 1)) (CONG _let_137 (MACRO_SR_PRED_INTRO :args ((= (not _let_52) _let_51))) :args _let_94)) :args ((or _let_51 _let_55))) _let_118 :args (_let_51 true _let_55)))) (let ((_let_140 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_110 4)) :args ((or _let_108 _let_115))) _let_114 :args (_let_108 false _let_110)))) (let ((_let_141 (not _let_127))) (let ((_let_142 (not _let_109))) (let ((_let_143 (or _let_64 _let_142 _let_141 _let_54 _let_52 _let_26))) (let ((_let_144 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (or (tptp.v3_struct_0 A) (not (tptp.v4_lattices A)) (not (tptp.l2_lattices A)) (not 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_let_54 _let_52 _let_141 _let_26 (not _let_143)))) _let_116 _let_150 _let_149 _let_139 _let_148 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_145 :args (_let_17 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_37 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_39 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_147)) :args _let_146))) _let_145 :args (_let_143 false _let_144)) :args (_let_26 true _let_64 false _let_109 false _let_53 false _let_51 false _let_127 false _let_143)))) (let ((_let_152 (tptp.m1_subset_1 _let_18 _let_48))) (let ((_let_153 (not _let_152))) (let ((_let_154 (or _let_64 _let_121 _let_120 _let_153 _let_50 _let_28))) (let ((_let_155 (or _let_64 _let_141 _let_54 _let_52 _let_152))) (let ((_let_156 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (or (tptp.v3_struct_0 A) (not (tptp.l2_lattices A)) (not (tptp.m1_subset_1 B _let_1)) (not (tptp.m1_subset_1 C _let_1)) (tptp.m1_subset_1 (tptp.k1_lattices A B C) _let_1)))))) (let ((_let_157 (EQ_RESOLVE (ASSUME :args (_let_13)) (MACRO_SR_EQ_INTRO :args (_let_13 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_158 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_155)) :args ((or _let_64 _let_54 _let_52 _let_141 _let_152 (not _let_155)))) _let_116 _let_149 _let_139 _let_148 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_157 :args (_let_17 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_37 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_39 QUANTIFIERS_INST_CBQI_CONFLICT)) :args (_let_156))) _let_157 :args (_let_155 false _let_156)) :args (_let_152 true _let_64 false _let_53 false _let_51 false _let_127 false _let_155)))) (let ((_let_159 (tptp.m1_subset_1 _let_20 _let_48))) (let ((_let_160 (not _let_159))) (let ((_let_161 (or _let_64 _let_142 _let_141 _let_54 _let_160 _let_30))) (let ((_let_162 (or _let_64 _let_120 _let_52 _let_50 _let_159))) (let ((_let_163 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (or (tptp.v3_struct_0 A) (not (tptp.l1_lattices A)) (not (tptp.m1_subset_1 B _let_1)) (not (tptp.m1_subset_1 C _let_1)) (tptp.m1_subset_1 (tptp.k2_lattices A B C) _let_1)))))) (let ((_let_164 (EQ_RESOLVE (ASSUME :args (_let_11)) (MACRO_SR_EQ_INTRO :args (_let_11 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_165 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_162)) :args ((or _let_64 _let_52 _let_50 _let_159 _let_120 (not _let_162)))) _let_116 _let_139 _let_138 _let_136 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_164 :args (_let_17 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_39 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_38 QUANTIFIERS_INST_CBQI_CONFLICT)) :args (_let_163))) _let_164 :args (_let_162 false _let_163)) :args (_let_159 true _let_64 false _let_51 false _let_49 false _let_119 false _let_162)))) (let ((_let_166 (and _let_32 (= (tptp.k4_lattices SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_37 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_39) (tptp.k4_lattices _let_17 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_37 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_39))))) (let ((_let_167 (tptp.u1_struct_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_168 (tptp.m1_subset_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_39 _let_167))) (let ((_let_169 (not _let_168))) (let ((_let_170 (tptp.m1_subset_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_37 _let_167))) (let ((_let_171 (not _let_170))) (let ((_let_172 (or _let_78 _let_77 _let_75 _let_84 _let_83 _let_171 _let_54 _let_169 _let_52 _let_166))) (let ((_let_173 (forall ((A $$unsorted) (BOUND_VARIABLE_2808 $$unsorted) (BOUND_VARIABLE_2806 $$unsorted) (BOUND_VARIABLE_2804 $$unsorted)) (let ((_let_1 (tptp.k23_filter_2 A BOUND_VARIABLE_2804))) (let ((_let_2 (tptp.u1_struct_0 _let_1))) (let ((_let_3 (tptp.u1_struct_0 A))) (or (tptp.v3_struct_0 A) (not (tptp.v10_lattices A)) (not (tptp.l3_lattices A)) (tptp.v1_xboole_0 BOUND_VARIABLE_2804) (not (tptp.m2_lattice4 BOUND_VARIABLE_2804 A)) (not (tptp.m1_subset_1 BOUND_VARIABLE_2808 _let_3)) (not (tptp.m1_subset_1 BOUND_VARIABLE_2808 _let_2)) (not (tptp.m1_subset_1 BOUND_VARIABLE_2806 _let_3)) (not (tptp.m1_subset_1 BOUND_VARIABLE_2806 _let_2)) (and (= (tptp.k3_lattices A BOUND_VARIABLE_2808 BOUND_VARIABLE_2806) (tptp.k3_lattices _let_1 BOUND_VARIABLE_2808 BOUND_VARIABLE_2806)) (= (tptp.k4_lattices A BOUND_VARIABLE_2808 BOUND_VARIABLE_2806) (tptp.k4_lattices _let_1 BOUND_VARIABLE_2808 BOUND_VARIABLE_2806)))))))))) (let ((_let_174 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_175 (_let_173))) (let ((_let_176 (tptp.k23_filter_2 A BOUND_VARIABLE_2804))) (let ((_let_177 ((tptp.k3_lattices _let_176 BOUND_VARIABLE_2808 BOUND_VARIABLE_2806)))) (let ((_let_178 (or _let_78 _let_77 _let_75 _let_73 _let_52 _let_168))) (let ((_let_179 (forall ((A $$unsorted) (BOUND_VARIABLE_2663 $$unsorted) (BOUND_VARIABLE_2661 $$unsorted)) (or (tptp.v3_struct_0 A) (not (tptp.v10_lattices A)) (not (tptp.l3_lattices A)) (not (tptp.m2_nat_lat BOUND_VARIABLE_2661 A)) (not (tptp.m1_subset_1 BOUND_VARIABLE_2663 (tptp.u1_struct_0 BOUND_VARIABLE_2661))) (tptp.m1_subset_1 BOUND_VARIABLE_2663 (tptp.u1_struct_0 A)))))) (let ((_let_180 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_181 (_let_179))) (let ((_let_182 ((not (= (tptp.m2_nat_lat BOUND_VARIABLE_2661 A) false)) (not (= (tptp.m1_subset_1 BOUND_VARIABLE_2663 (tptp.u1_struct_0 BOUND_VARIABLE_2661)) false))))) (let ((_let_183 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_178)) :args ((or _let_78 _let_77 _let_75 _let_73 _let_52 _let_168 (not _let_178)))) _let_103 _let_101 _let_100 _let_104 _let_139 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_180 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_39 _let_17 QUANTIFIERS_INST_E_MATCHING _let_182)) :args _let_181)) _let_180 :args (_let_178 false _let_179)) :args (_let_168 true _let_78 false _let_76 false _let_74 false _let_72 false _let_51 false _let_178)))) (let ((_let_184 (or _let_78 _let_77 _let_75 _let_73 _let_54 _let_170))) (let ((_let_185 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_184)) :args ((or _let_78 _let_77 _let_75 _let_73 _let_54 _let_170 (not _let_184)))) _let_103 _let_101 _let_100 _let_104 _let_149 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_180 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_37 _let_17 QUANTIFIERS_INST_E_MATCHING _let_182)) :args _let_181)) _let_180 :args (_let_184 false _let_179)) :args (_let_170 true _let_78 false _let_76 false _let_74 false _let_72 false _let_53 false _let_184)))) (let ((_let_186 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_166 0)) :args ((or _let_32 (not _let_166)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_172)) :args ((or _let_78 _let_77 _let_75 _let_84 _let_83 _let_54 _let_52 _let_171 _let_169 _let_166 (not _let_172)))) _let_103 _let_101 _let_100 _let_99 _let_98 _let_149 _let_139 _let_185 _let_183 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_174 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_37 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_39 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING _let_177)) :args _let_175))) _let_174 :args (_let_172 false _let_173)) :args (_let_166 true _let_78 false _let_76 false _let_74 true _let_84 false _let_82 false _let_53 false _let_51 false _let_170 false _let_168 false _let_172)) :args (_let_32 false _let_166)))) (let ((_let_187 (and (= (tptp.k3_lattices SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_18 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_38) (tptp.k3_lattices _let_17 _let_18 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_38)) _let_34))) (let ((_let_188 (tptp.m1_subset_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_38 _let_167))) (let ((_let_189 (not _let_188))) (let ((_let_190 (tptp.m1_subset_1 _let_18 _let_167))) (let ((_let_191 (not _let_190))) (let ((_let_192 (or _let_78 _let_77 _let_75 _let_84 _let_83 _let_191 _let_153 _let_189 _let_50 _let_187))) (let ((_let_193 ((tptp.k4_lattices _let_176 BOUND_VARIABLE_2808 BOUND_VARIABLE_2806)))) (let ((_let_194 (or _let_78 _let_77 _let_75 _let_73 _let_50 _let_188))) (let ((_let_195 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_194)) :args ((or _let_78 _let_77 _let_75 _let_73 _let_50 _let_188 (not _let_194)))) _let_103 _let_101 _let_100 _let_104 _let_138 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_180 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_38 _let_17 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_181)) _let_180 :args (_let_194 false _let_179)) :args (_let_188 true _let_78 false _let_76 false _let_74 false _let_72 false _let_49 false _let_194)))) (let ((_let_196 (tptp.m1_subset_1 _let_31 _let_167))) (let ((_let_197 (tptp.l2_lattices SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_198 (not _let_197))) (let ((_let_199 (tptp.v4_lattices SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_200 (not _let_199))) (let ((_let_201 (or _let_78 _let_200 _let_198 _let_171 _let_169 _let_196))) (let ((_let_202 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (or (tptp.v3_struct_0 A) (not (tptp.v4_lattices A)) (not (tptp.l2_lattices A)) (not (tptp.m1_subset_1 B _let_1)) (not (tptp.m1_subset_1 C _let_1)) (tptp.m1_subset_1 (tptp.k3_lattices A B C) _let_1)))))) (let ((_let_203 (EQ_RESOLVE (ASSUME :args (_let_10)) (MACRO_SR_EQ_INTRO :args (_let_10 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_204 (tptp.l1_lattices SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_205 (and _let_204 _let_197))) (let ((_let_206 (or _let_75 _let_205))) (let ((_let_207 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_206)) :args ((or _let_75 _let_205 (not _let_206)))) _let_100 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_131 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_133)) :args _let_132)) _let_131 :args (_let_206 false _let_130)) :args (_let_205 false _let_74 false _let_206)))) (let ((_let_208 (not _let_205))) (let ((_let_209 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_205 1)) :args ((or _let_197 _let_208))) _let_207 :args (_let_197 false _let_205)))) (let ((_let_210 (tptp.v9_lattices SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_211 (tptp.v8_lattices SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_212 (tptp.v6_lattices SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_213 (and _let_102 _let_199 (tptp.v5_lattices SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2) _let_212 (tptp.v7_lattices SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2) _let_211 _let_210))) (let ((_let_214 (or _let_75 _let_78 _let_77 _let_213))) (let ((_let_215 (forall ((A $$unsorted)) (let ((_let_1 (tptp.v3_struct_0 A))) (or (not (tptp.l3_lattices A)) _let_1 (not (tptp.v10_lattices A)) (and (not _let_1) (tptp.v4_lattices A) (tptp.v5_lattices A) (tptp.v6_lattices A) (tptp.v7_lattices A) (tptp.v8_lattices A) (tptp.v9_lattices A))))))) (let ((_let_216 (EQ_RESOLVE (ASSUME :args (_let_15)) (MACRO_SR_EQ_INTRO :args (_let_15 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_217 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_214)) :args ((or _let_78 _let_77 _let_75 _let_213 (not _let_214)))) _let_103 _let_101 _let_100 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_216 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.l3_lattices A) false))))) :args (_let_215))) _let_216 :args (_let_214 false _let_215)) :args (_let_213 true _let_78 false _let_76 false _let_74 false _let_214)))) (let ((_let_218 (not _let_213))) (let ((_let_219 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_213 1)) :args ((or _let_199 _let_218))) _let_217 :args (_let_199 false _let_213)))) (let ((_let_220 (not _let_32))) (let ((_let_221 (not _let_26))) (let ((_let_222 (and _let_26 _let_32 _let_196))) (let ((_let_223 (ASSUME :args (_let_196)))) (let ((_let_224 (ASSUME :args (_let_32)))) (let ((_let_225 (SYMM _let_224))) (let ((_let_226 (ASSUME :args (_let_26)))) (let ((_let_227 (SYMM _let_226))) (let ((_let_228 (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_222)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_223 _let_224 _let_226) (SCOPE (TRUE_ELIM (TRANS (CONG (TRANS (SYMM _let_227) (SYMM _let_225)) (REFL :args (_let_167)) :args (APPLY_UF tptp.m1_subset_1)) (TRUE_INTRO _let_223))) :args (_let_196 _let_32 _let_26))) :args (_let_26 _let_32 _let_196))) :args (true _let_222)) :args ((or _let_221 _let_190 _let_220 (not _let_196)))) _let_151 _let_186 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_201)) :args ((or _let_78 _let_200 _let_198 _let_171 _let_169 _let_196 (not _let_201)))) _let_103 _let_219 _let_209 _let_185 _let_183 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_203 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_37 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_39 QUANTIFIERS_INST_CBQI_CONFLICT)) :args (_let_202))) _let_203 :args (_let_201 false _let_202)) :args (_let_196 true _let_78 false _let_199 false _let_197 false _let_170 false _let_168 false _let_201)) :args (_let_190 false _let_26 false _let_32 false _let_196)))) (let ((_let_229 (and (= (tptp.k3_lattices SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_39 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_38) (tptp.k3_lattices _let_17 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_39 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_38)) _let_36))) (let ((_let_230 (or _let_78 _let_77 _let_75 _let_84 _let_83 _let_169 _let_52 _let_189 _let_50 _let_229))) (let ((_let_231 (and _let_38 (= (tptp.k4_lattices SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_37 _let_20) (tptp.k4_lattices _let_17 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_37 _let_20))))) (let ((_let_232 (tptp.m1_subset_1 _let_20 _let_167))) (let ((_let_233 (not _let_232))) (let ((_let_234 (or _let_78 _let_77 _let_75 _let_84 _let_83 _let_171 _let_54 _let_233 _let_160 _let_231))) (let ((_let_235 (or _let_78 _let_77 _let_75 _let_73 _let_160 _let_232))) (let ((_let_236 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_235)) :args ((or _let_78 _let_77 _let_75 _let_73 _let_160 _let_232 (not _let_235)))) _let_103 _let_101 _let_100 _let_104 _let_165 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_180 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_20 _let_17 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_181)) _let_180 :args (_let_235 false _let_179)) :args (_let_232 true _let_78 false _let_76 false _let_74 false _let_72 false _let_159 false _let_235)))) (let ((_let_237 (or _let_78 _let_200 _let_198 _let_171 _let_169 _let_40))) (let ((_let_238 ((tptp.k3_lattices A B C)))) (let ((_let_239 (or _let_78 _let_200 _let_198 _let_171 _let_233 _let_41))) (let ((_let_240 (not _let_204))) (let ((_let_241 (not _let_212))) (let ((_let_242 (or _let_78 _let_241 _let_240 _let_169 _let_189 _let_43))) (let ((_let_243 ((tptp.k4_lattices A B C)))) (let ((_let_244 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_205 0)) :args ((or _let_204 _let_208))) _let_207 :args (_let_204 false _let_205)))) (let ((_let_245 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_213 3)) :args ((or _let_212 _let_218))) _let_217 :args (_let_212 false _let_213)))) (let ((_let_246 (or _let_78 _let_241 _let_240 _let_191 _let_189 _let_44))) (let ((_let_247 (tptp.r1_lattices SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_37 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_38))) (let ((_let_248 (not _let_247))) (let ((_let_249 (or _let_171 _let_169 _let_189 _let_248 _let_45))) (let ((_let_250 (forall ((B $$unsorted) (BOUND_VARIABLE_1946 $$unsorted) (BOUND_VARIABLE_1944 $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (or (not (tptp.m1_subset_1 B _let_1)) (not (tptp.m1_subset_1 BOUND_VARIABLE_1944 _let_1)) (not (tptp.m1_subset_1 BOUND_VARIABLE_1946 _let_1)) (not (tptp.r1_lattices SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 B BOUND_VARIABLE_1946)) (= (tptp.k1_lattices SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 B (tptp.k2_lattices SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 BOUND_VARIABLE_1944 BOUND_VARIABLE_1946)) (tptp.k2_lattices SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 (tptp.k1_lattices SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 B BOUND_VARIABLE_1944) BOUND_VARIABLE_1946))))))) (let ((_let_251 (= _let_88 _let_250))) (let ((_let_252 (or _let_78 _let_75 _let_251))) (let ((_let_253 (_let_250))) (let ((_let_254 (tptp.r3_lattices SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_37 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_38))) (let ((_let_255 (= _let_254 _let_247))) (let ((_let_256 (not _let_210))) (let ((_let_257 (not _let_211))) (let ((_let_258 (or _let_78 _let_241 _let_257 _let_256 _let_75 _let_171 _let_189 _let_255))) (let ((_let_259 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (or (tptp.v3_struct_0 A) (not (tptp.v6_lattices A)) (not (tptp.v8_lattices A)) (not (tptp.v9_lattices A)) (not (tptp.l3_lattices A)) (not (tptp.m1_subset_1 B _let_1)) (not (tptp.m1_subset_1 C _let_1)) (= (tptp.r3_lattices A B C) (tptp.r1_lattices A B C))))))) (let ((_let_260 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_261 (_let_259))) (let ((_let_262 (tptp.r3_lattices _let_17 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_37 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_38))) (let ((_let_263 (= _let_262 _let_254))) (let ((_let_264 (or _let_78 _let_77 _let_75 _let_84 _let_83 _let_171 _let_54 _let_189 _let_50 _let_263))) (let ((_let_265 (forall ((A $$unsorted) (BOUND_VARIABLE_2946 $$unsorted) (BOUND_VARIABLE_2944 $$unsorted) (BOUND_VARIABLE_2942 $$unsorted)) (let ((_let_1 (tptp.k23_filter_2 A BOUND_VARIABLE_2942))) (let ((_let_2 (tptp.u1_struct_0 _let_1))) (let ((_let_3 (tptp.u1_struct_0 A))) (or (tptp.v3_struct_0 A) (not (tptp.v10_lattices A)) (not (tptp.l3_lattices A)) (tptp.v1_xboole_0 BOUND_VARIABLE_2942) (not (tptp.m2_lattice4 BOUND_VARIABLE_2942 A)) (not (tptp.m1_subset_1 BOUND_VARIABLE_2946 _let_3)) (not (tptp.m1_subset_1 BOUND_VARIABLE_2946 _let_2)) (not (tptp.m1_subset_1 BOUND_VARIABLE_2944 _let_3)) (not (tptp.m1_subset_1 BOUND_VARIABLE_2944 _let_2)) (= (tptp.r3_lattices A BOUND_VARIABLE_2946 BOUND_VARIABLE_2944) (tptp.r3_lattices _let_1 BOUND_VARIABLE_2946 BOUND_VARIABLE_2944))))))))) (let ((_let_266 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_267 (= _let_46 _let_262))) (let ((_let_268 (not _let_106))) (let ((_let_269 (not _let_107))) (let ((_let_270 (or _let_64 _let_121 _let_269 _let_268 _let_63 _let_54 _let_50 _let_267))) (let ((_let_271 (not _let_45))) (let ((_let_272 (_let_271))) (let ((_let_273 (ASSUME :args (_let_45)))) (let ((_let_274 (ASSUME :args (_let_56)))) (let ((_let_275 (ASSUME :args (_let_28)))) (let ((_let_276 (ASSUME :args (_let_34)))) (let ((_let_277 (ASSUME :args (_let_44)))) (let ((_let_278 (ASSUME :args (_let_40)))) (let ((_let_279 (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))) (let ((_let_280 (ASSUME :args (_let_30)))) (let ((_let_281 (ASSUME :args (_let_38)))) (let ((_let_282 (ASSUME :args (_let_41)))) (let ((_let_283 (ASSUME :args (_let_24)))) (let ((_let_284 (ASSUME :args (_let_36)))) (let ((_let_285 (ASSUME :args (_let_43)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_273 (MODUS_PONENS (AND_INTRO _let_280 _let_281 _let_282 _let_283 _let_284 _let_285 _let_274 _let_275 _let_276 _let_277 _let_226 _let_224 _let_278) (SCOPE (FALSE_ELIM (TRANS (CONG (TRANS (CONG _let_279 (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_37)) (TRANS (SYMM _let_285) (SYMM _let_284) (SYMM _let_283)) :args (APPLY_UF tptp.k1_lattices)) (SYMM _let_282) (SYMM _let_281) (SYMM _let_280)) (TRANS (CONG _let_279 (TRANS (SYMM _let_278) _let_225 _let_227) (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_38)) :args (APPLY_UF tptp.k2_lattices)) (SYMM _let_277) (SYMM _let_276) (SYMM _let_275)) :args (=)) (FALSE_INTRO _let_274))) :args (_let_30 _let_38 _let_41 _let_24 _let_36 _let_43 _let_56 _let_28 _let_34 _let_44 _let_26 _let_32 _let_40)))) :args (_let_56 _let_26 _let_30 _let_24 _let_28 _let_38 _let_32 _let_34 _let_36 _let_40 _let_41 _let_43 _let_44 _let_45)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (FALSE_INTRO (ASSUME :args _let_272))) (TRUE_INTRO (SYMM (SYMM _let_273))))) :args (_let_45 _let_271)) :args ((not (and _let_56 _let_26 _let_30 _let_24 _let_28 _let_38 _let_32 _let_34 _let_36 _let_40 _let_41 _let_43 _let_44 _let_45)) SB_LITERAL))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_56) _let_22))) (REFL :args (_let_221)) (REFL :args ((not _let_30))) (REFL :args ((not _let_24))) (REFL :args ((not _let_28))) (REFL :args ((not _let_38))) (REFL :args (_let_220)) (REFL :args ((not _let_34))) (REFL :args ((not _let_36))) (REFL :args ((not _let_40))) (REFL :args ((not _let_41))) (REFL :args ((not _let_43))) (REFL :args ((not _let_44))) (REFL :args _let_272) :args _let_94)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_249)) :args ((or _let_171 _let_169 _let_189 _let_248 _let_45 (not _let_249)))) _let_185 _let_183 _let_195 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_255)) :args ((or (not _let_254) _let_247 (not _let_255)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_263)) :args ((or (not _let_262) _let_254 (not _let_263)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_267)) :args ((or _let_47 _let_262 (not _let_267)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_55 3)) (CONG _let_137 (MACRO_SR_PRED_INTRO :args ((= (not _let_47) _let_46))) :args _let_94)) :args ((or _let_46 _let_55))) _let_118 :args (_let_46 true _let_55)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_270)) :args ((or _let_64 _let_63 _let_121 _let_269 _let_268 _let_54 _let_50 _let_267 (not _let_270)))) _let_116 _let_105 _let_140 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_110 6)) :args ((or _let_107 _let_115))) _let_114 :args (_let_107 false _let_110)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_110 7)) :args ((or _let_106 _let_115))) _let_114 :args (_let_106 false _let_110)) _let_149 _let_138 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_260 :args (_let_17 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_37 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_38 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.r1_lattices A B C)))) :args _let_261))) _let_260 :args (_let_270 false _let_259)) :args (_let_267 true _let_64 false _let_62 false _let_108 false _let_107 false _let_106 false _let_53 false _let_49 false _let_270)) :args (_let_262 false _let_46 false _let_267)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_264)) :args ((or _let_78 _let_77 _let_75 _let_84 _let_83 _let_54 _let_50 _let_171 _let_189 _let_263 (not _let_264)))) _let_103 _let_101 _let_100 _let_99 _let_98 _let_149 _let_138 _let_185 _let_195 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_266 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_37 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_38 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING ((tptp.r3_lattices (tptp.k23_filter_2 A BOUND_VARIABLE_2942) BOUND_VARIABLE_2946 BOUND_VARIABLE_2944)))) :args (_let_265)))) _let_266 :args (_let_264 false _let_265)) :args (_let_263 true _let_78 false _let_76 false _let_74 true _let_84 false _let_82 false _let_53 false _let_49 false _let_170 false _let_188 false _let_264)) :args (_let_254 false _let_262 false _let_263)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_258)) :args ((or _let_78 _let_75 _let_241 _let_257 _let_256 _let_171 _let_189 _let_255 (not _let_258)))) _let_103 _let_100 _let_245 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_213 5)) :args ((or _let_211 _let_218))) _let_217 :args (_let_211 false _let_213)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_213 6)) :args ((or _let_210 _let_218))) _let_217 :args (_let_210 false _let_213)) _let_185 _let_195 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_260 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_37 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_38 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.r3_lattices A B C)))) :args _let_261)) _let_260 :args (_let_258 false _let_259)) :args (_let_255 true _let_78 false _let_74 false _let_212 false _let_211 false _let_210 false _let_170 false _let_188 false _let_258)) :args (_let_247 false _let_254 false _let_255)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_253) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_37 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_38 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_39 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_253)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_251)) :args ((or _let_89 _let_250 (not _let_251)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_90 3)) (CONG _let_97 (MACRO_SR_PRED_INTRO :args ((= (not _let_89) _let_88))) :args _let_94)) :args ((or _let_88 _let_90))) _let_96 :args (_let_88 true _let_90)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_252)) :args ((or _let_78 _let_75 _let_251 (not _let_252)))) _let_103 _let_100 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_67 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.v3_struct_0 A) true))))) :args _let_68)) _let_67 :args (_let_252 false _let_66)) :args (_let_251 true _let_78 false _let_74 false _let_252)) :args (_let_250 false _let_88 false _let_251)) :args (_let_249 false _let_250)) :args (_let_45 false _let_170 false _let_168 false _let_188 false _let_247 false _let_249)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_246)) :args ((or _let_78 _let_241 _let_240 _let_191 _let_189 _let_44 (not _let_246)))) _let_103 _let_245 _let_244 _let_228 _let_195 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_124 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_18 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_38 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_243)) :args _let_125)) _let_124 :args (_let_246 false _let_123)) :args (_let_44 true _let_78 false _let_212 false _let_204 false _let_190 false _let_188 false _let_246)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_242)) :args ((or _let_78 _let_241 _let_240 _let_169 _let_189 _let_43 (not _let_242)))) _let_103 _let_245 _let_244 _let_183 _let_195 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_124 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_39 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_38 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_243)) :args _let_125)) _let_124 :args (_let_242 false _let_123)) :args (_let_43 true _let_78 false _let_212 false _let_204 false _let_168 false _let_188 false _let_242)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_239)) :args ((or _let_78 _let_200 _let_198 _let_171 _let_233 _let_41 (not _let_239)))) _let_103 _let_219 _let_209 _let_185 _let_236 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_145 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_37 _let_20 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_238)) :args _let_146)) _let_145 :args (_let_239 false _let_144)) :args (_let_41 true _let_78 false _let_199 false _let_197 false _let_170 false _let_232 false _let_239)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_237)) :args ((or _let_78 _let_200 _let_198 _let_171 _let_169 _let_40 (not _let_237)))) _let_103 _let_219 _let_209 _let_185 _let_183 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_145 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_37 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_39 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_238)) :args _let_146)) _let_145 :args (_let_237 false _let_144)) :args (_let_40 true _let_78 false _let_199 false _let_197 false _let_170 false _let_168 false _let_237)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_231 0)) :args ((or _let_38 (not _let_231)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_234)) :args ((or _let_78 _let_77 _let_75 _let_84 _let_83 _let_54 _let_160 _let_171 _let_233 _let_231 (not _let_234)))) _let_103 _let_101 _let_100 _let_99 _let_98 _let_149 _let_165 _let_185 _let_236 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_174 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_37 _let_20 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING _let_177)) :args _let_175))) _let_174 :args (_let_234 false _let_173)) :args (_let_231 true _let_78 false _let_76 false _let_74 true _let_84 false _let_82 false _let_53 false _let_159 false _let_170 false _let_232 false _let_234)) :args (_let_38 false _let_231)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_229 1)) :args ((or _let_36 (not _let_229)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_230)) :args ((or _let_78 _let_77 _let_75 _let_84 _let_83 _let_52 _let_50 _let_169 _let_189 _let_229 (not _let_230)))) _let_103 _let_101 _let_100 _let_99 _let_98 _let_139 _let_138 _let_183 _let_195 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_174 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_39 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_38 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING _let_193)) :args _let_175))) _let_174 :args (_let_230 false _let_173)) :args (_let_229 true _let_78 false _let_76 false _let_74 true _let_84 false _let_82 false _let_51 false _let_49 false _let_168 false _let_188 false _let_230)) :args (_let_36 false _let_229)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_187 1)) :args ((or _let_34 (not _let_187)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_192)) :args ((or _let_78 _let_77 _let_75 _let_84 _let_83 _let_50 _let_153 _let_191 _let_189 _let_187 (not _let_192)))) _let_103 _let_101 _let_100 _let_99 _let_98 _let_138 _let_158 _let_228 _let_195 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_174 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_18 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_38 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING _let_193)) :args _let_175))) _let_174 :args (_let_192 false _let_173)) :args (_let_187 true _let_78 false _let_76 false _let_74 true _let_84 false _let_82 false _let_49 false _let_152 false _let_190 false _let_188 false _let_192)) :args (_let_34 false _let_187)) _let_186 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_161)) :args ((or _let_64 _let_142 _let_54 _let_141 _let_160 _let_30 (not _let_161)))) _let_116 _let_150 _let_149 _let_148 _let_165 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_145 :args (_let_17 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_37 _let_20 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_147)) :args _let_146))) _let_145 :args (_let_161 false _let_144)) :args (_let_30 true _let_64 false _let_109 false _let_53 false _let_127 false _let_159 false _let_161)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_154)) :args ((or _let_64 _let_121 _let_50 _let_120 _let_153 _let_28 (not _let_154)))) _let_116 _let_140 _let_138 _let_136 _let_158 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_124 :args (_let_17 _let_18 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_38 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_126)) :args _let_125))) _let_124 :args (_let_154 false _let_123)) :args (_let_28 true _let_64 false _let_108 false _let_49 false _let_119 false _let_152 false _let_154)) _let_151 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_122)) :args ((or _let_64 _let_121 _let_52 _let_50 _let_120 _let_24 (not _let_122)))) _let_116 _let_140 _let_139 _let_138 _let_136 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_124 :args (_let_17 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_39 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_38 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_126)) :args _let_125))) _let_124 :args (_let_122 false _let_123)) :args (_let_24 true _let_64 false _let_108 false _let_51 false _let_49 false _let_119 false _let_122)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_55 4)) _let_118 :args (_let_56 true _let_55)) :args (false false _let_45 false _let_44 false _let_43 false _let_41 false _let_40 false _let_38 false _let_36 false _let_34 false _let_32 false _let_30 false _let_28 false _let_26 false _let_24 true _let_22)) :args (_let_16 (forall ((A $$unsorted)) (=> (tptp.l3_lattices A) (=> (tptp.v3_lattices A) (= A (tptp.g3_lattices (tptp.u1_struct_0 A) (tptp.u2_lattices A) (tptp.u1_lattices A)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.r2_hidden A B) (not (tptp.r2_hidden B A)))) (forall ((A $$unsorted)) (=> (tptp.v1_xboole_0 A) (tptp.v1_funct_1 A))) _let_15 (forall ((A $$unsorted)) (=> (not (tptp.v1_realset1 A)) (not (tptp.v1_xboole_0 A)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.k2_zfmisc_1 A B))) (tptp.v1_relat_1 C))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.v1_funct_1 A))) (let ((_let_2 (tptp.v1_relat_1 A))) (=> (and _let_2 (tptp.v1_xboole_0 A) _let_1) (and _let_2 _let_1 (tptp.v2_funct_1 A)))))) (forall ((A $$unsorted)) (let ((_let_1 (not (tptp.v3_struct_0 A)))) (=> (tptp.l3_lattices A) (=> (and _let_1 (tptp.v4_lattices A) (tptp.v5_lattices A) (tptp.v6_lattices A) (tptp.v7_lattices A) (tptp.v8_lattices A) (tptp.v9_lattices A)) (and _let_1 (tptp.v10_lattices A)))))) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.k2_tarski A B) (tptp.k2_tarski B A))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_lattices A) (tptp.l2_lattices A) (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (= (tptp.k3_lattices A B C) (tptp.k3_lattices A C B))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v6_lattices A) (tptp.l1_lattices A) (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (= (tptp.k4_lattices A B C) (tptp.k4_lattices A C B))))) _let_14 (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted) (C $$unsorted)) (= (tptp.k1_binop_1 A B C) (tptp.k1_funct_1 A (tptp.k4_tarski B C)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l2_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 C _let_1) (= (tptp.k1_lattices A B C) (tptp.k2_binop_1 _let_1 _let_1 _let_1 (tptp.u2_lattices A) B C))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 C _let_1) (= (tptp.k2_lattices A B C) (tptp.k2_binop_1 _let_1 _let_1 _let_1 (tptp.u1_lattices A) B C))))))))) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.k4_tarski A B) (tptp.k2_tarski (tptp.k2_tarski A B) (tptp.k1_tarski A)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.g3_lattices A B C))) (let ((_let_2 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_2 A) (tptp.m1_relset_1 B _let_2 A) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 A) (tptp.m1_relset_1 C _let_2 A)) (and (tptp.v3_lattices _let_1) (tptp.l3_lattices _let_1)))))) true true _let_13 true true true _let_12 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A B))) (=> (and (not (tptp.v1_xboole_0 A)) (not (tptp.v1_xboole_0 B)) (tptp.v1_funct_1 D) (tptp.v1_funct_2 D _let_1 C) (tptp.m1_relset_1 D _let_1 C) (tptp.m1_subset_1 E A) (tptp.m1_subset_1 F B)) (tptp.m1_subset_1 (tptp.k2_binop_1 A B C D E F) C)))) _let_11 true true _let_10 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v6_lattices A) (tptp.l1_lattices A) (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (tptp.m1_subset_1 (tptp.k4_lattices A B C) _let_1)))) true (forall ((A $$unsorted)) (=> (tptp.l1_lattices A) (tptp.l1_struct_0 A))) true (forall ((A $$unsorted)) (=> (tptp.l2_lattices A) (tptp.l1_struct_0 A))) _let_9 true true (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_8 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.m2_relset_1 C A B) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.k2_zfmisc_1 A B))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.k2_zfmisc_1 _let_1 _let_1))) (let ((_let_3 (tptp.u1_lattices A))) (=> (tptp.l1_lattices A) (and (tptp.v1_funct_1 _let_3) (tptp.v1_funct_2 _let_3 _let_2 _let_1) (tptp.m2_relset_1 _let_3 _let_2 _let_1))))))) true (forall ((A $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.k2_zfmisc_1 _let_1 _let_1))) (let ((_let_3 (tptp.u2_lattices A))) (=> (tptp.l2_lattices A) (and (tptp.v1_funct_1 _let_3) (tptp.v1_funct_2 _let_3 _let_2 _let_1) (tptp.m2_relset_1 _let_3 _let_2 _let_1))))))) (exists ((A $$unsorted)) (tptp.l1_lattices A)) (exists ((A $$unsorted)) (tptp.l1_struct_0 A)) (exists ((A $$unsorted)) (tptp.l2_lattices A)) (exists ((A $$unsorted)) (tptp.l3_lattices A)) (forall ((A $$unsorted) (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_lattice4 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_nat_lat B A)))) (forall ((A $$unsorted) (B $$unsorted)) (exists ((C $$unsorted)) (tptp.m2_relset_1 C A B))) (forall ((A $$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)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.k2_zfmisc_1 _let_1 _let_1))) (let ((_let_3 (tptp.u2_lattices A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_lattices A) (tptp.l2_lattices A)) (and (tptp.v1_relat_1 _let_3) (tptp.v1_funct_1 _let_3) (tptp.v1_funct_2 _let_3 _let_2 _let_1) (tptp.v1_binop_1 _let_3 _let_1) (tptp.v1_partfun1 _let_3 _let_2 _let_1))))))) (forall ((A $$unsorted)) (not (tptp.v1_xboole_0 (tptp.k1_tarski A)))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.k2_zfmisc_1 _let_1 _let_1))) (let ((_let_3 (tptp.u2_lattices A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v5_lattices A) (tptp.l2_lattices A)) (and (tptp.v1_relat_1 _let_3) (tptp.v1_funct_1 _let_3) (tptp.v1_funct_2 _let_3 _let_2 _let_1) (tptp.v2_binop_1 _let_3 _let_1) (tptp.v1_partfun1 _let_3 _let_2 _let_1))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.g3_lattices A B C))) (let ((_let_2 (tptp.k2_zfmisc_1 A A))) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_2 A) (tptp.m1_relset_1 B _let_2 A) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 A) (tptp.m1_relset_1 C _let_2 A)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v3_lattices _let_1)))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k1_tarski A))) (and (not (tptp.v1_xboole_0 _let_1)) (tptp.v1_finset_1 _let_1) (tptp.v1_realset1 _let_1)))) (forall ((A $$unsorted) (B $$unsorted)) (not (tptp.v1_xboole_0 (tptp.k2_tarski A B)))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.k2_zfmisc_1 _let_1 _let_1))) (let ((_let_3 (tptp.u1_lattices A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v6_lattices A) (tptp.l1_lattices A)) (and (tptp.v1_relat_1 _let_3) (tptp.v1_funct_1 _let_3) (tptp.v1_funct_2 _let_3 _let_2 _let_1) (tptp.v1_binop_1 _let_3 _let_1) (tptp.v1_partfun1 _let_3 _let_2 _let_1))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (not (tptp.v1_xboole_0 B))) (not (tptp.v1_xboole_0 (tptp.k2_zfmisc_1 A B))))) _let_7 (forall ((A $$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 $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_1 A) (tptp.m1_relset_1 B _let_1 A) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_1 A) (tptp.m1_relset_1 C _let_1 A)) (forall ((D $$unsorted) (E $$unsorted) (F $$unsorted)) (=> (= (tptp.g3_lattices A B C) (tptp.g3_lattices D E F)) (and (= A D) (= B E) (= C F))))))) (exists ((A $$unsorted)) (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (exists ((B $$unsorted)) (and (tptp.m2_lattice4 B A) (not (tptp.v1_xboole_0 B)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (exists ((B $$unsorted)) (and (tptp.m2_nat_lat B A) (not (tptp.v3_struct_0 B)) (tptp.v3_lattices B) (tptp.v4_lattices B) (tptp.v5_lattices B) (tptp.v6_lattices B) (tptp.v7_lattices B) (tptp.v8_lattices B) (tptp.v9_lattices B) (tptp.v10_lattices B))))) (exists ((A $$unsorted)) (and (not (tptp.v1_xboole_0 A)) (tptp.v1_realset1 A))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (exists ((B $$unsorted)) (and (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (not (tptp.v1_xboole_0 B)))))) (exists ((A $$unsorted)) (tptp.v1_xboole_0 A)) (exists ((A $$unsorted)) (and (tptp.v1_relat_1 A) (tptp.v1_xboole_0 A) (tptp.v1_funct_1 A))) (exists ((A $$unsorted)) (and (not (tptp.v1_xboole_0 A)) (not (tptp.v1_realset1 A)))) (forall ((A $$unsorted)) (exists ((B $$unsorted)) (and (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (tptp.v1_xboole_0 B)))) (exists ((A $$unsorted)) (not (tptp.v1_xboole_0 A))) (exists ((A $$unsorted)) (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v2_funct_1 A))) (exists ((A $$unsorted)) (and (tptp.l3_lattices A) (tptp.v3_lattices A))) (exists ((A $$unsorted)) (and (tptp.l1_struct_0 A) (not (tptp.v3_struct_0 A)))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_struct_0 A)) (exists ((B $$unsorted)) (and (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (not (tptp.v1_xboole_0 B)))))) (exists ((A $$unsorted)) (and (tptp.l3_lattices A) (not (tptp.v3_struct_0 A)) (tptp.v3_lattices A))) (exists ((A $$unsorted)) (and (tptp.l3_lattices A) (not (tptp.v3_struct_0 A)) (tptp.v3_lattices A) (tptp.v4_lattices A) (tptp.v5_lattices A) (tptp.v6_lattices A) (tptp.v7_lattices A) (tptp.v8_lattices A) (tptp.v9_lattices A) (tptp.v10_lattices A))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A B))) (=> (and (not (tptp.v1_xboole_0 A)) (not (tptp.v1_xboole_0 B)) (tptp.v1_funct_1 D) (tptp.v1_funct_2 D _let_1 C) (tptp.m1_relset_1 D _let_1 C) (tptp.m1_subset_1 E A) (tptp.m1_subset_1 F B)) (= (tptp.k2_binop_1 A B C D E F) (tptp.k1_binop_1 D E F))))) _let_6 _let_5 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.m2_relset_1 C A B) (tptp.m1_relset_1 C A B))) _let_4 (forall ((A $$unsorted) (B $$unsorted)) (tptp.r1_tarski A A)) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v6_lattices A) (tptp.v8_lattices A) (tptp.v9_lattices A) (tptp.l3_lattices A) (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (tptp.r3_lattices A B B)))) (forall ((A $$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 $$unsorted)) (= (tptp.m1_subset_1 A (tptp.k1_zfmisc_1 B)) (tptp.r1_tarski A B))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.r2_hidden A B) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 C))) (tptp.m1_subset_1 A C))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (not (and (tptp.r2_hidden A B) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 C)) (tptp.v1_xboole_0 C)))) _let_3 (forall ((A $$unsorted)) (=> (tptp.v1_xboole_0 A) (= A tptp.k1_xboole_0))) _let_2 _let_1 (forall ((A $$unsorted) (B $$unsorted)) (not (and (tptp.r2_hidden A B) (tptp.v1_xboole_0 B)))) (forall ((A $$unsorted) (B $$unsorted)) (not (and (tptp.v1_xboole_0 A) (not (= A B)) (tptp.v1_xboole_0 B)))) true))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 32.98/33.19 )
% 32.98/33.19 % SZS output end Proof for LAT334+1
% 32.98/33.19 % cvc5---1.0.5 exiting
% 32.98/33.19 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------