TSTP Solution File: SEU410+1 by cvc5---1.0.5
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- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SEU410+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n009.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 16:31:28 EDT 2023
% Result : Theorem 47.81s 48.03s
% Output : Proof 47.86s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SEU410+1 : TPTP v8.1.2. Released v3.4.0.
% 0.00/0.14 % Command : do_cvc5 %s %d
% 0.13/0.38 % Computer : n009.cluster.edu
% 0.13/0.38 % Model : x86_64 x86_64
% 0.13/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.38 % Memory : 8042.1875MB
% 0.13/0.38 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.38 % CPULimit : 300
% 0.13/0.38 % WCLimit : 300
% 0.13/0.38 % DateTime : Wed Aug 23 14:45:51 EDT 2023
% 0.13/0.38 % CPUTime :
% 0.23/0.50 %----Proving TF0_NAR, FOF, or CNF
% 47.81/48.03 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.loZrgXe3YS/cvc5---1.0.5_14586.p...
% 47.81/48.03 ------- get file name : TPTP file name is SEU410+1
% 47.81/48.03 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_14586.smt2...
% 47.81/48.03 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 47.81/48.03 --- Run --no-e-matching --full-saturate-quant at 5...
% 47.81/48.03 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 5...
% 47.81/48.03 --- Run --finite-model-find --uf-ss=no-minimal at 5...
% 47.81/48.03 --- Run --multi-trigger-when-single --full-saturate-quant at 5...
% 47.81/48.03 --- Run --trigger-sel=max --full-saturate-quant at 5...
% 47.81/48.03 --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 5...
% 47.81/48.03 --- Run --multi-trigger-cache --full-saturate-quant at 5...
% 47.81/48.03 --- Run --prenex-quant=none --full-saturate-quant at 5...
% 47.81/48.03 % SZS status Theorem for SEU410+1
% 47.81/48.03 % SZS output start Proof for SEU410+1
% 47.81/48.03 (
% 47.81/48.03 (let ((_let_1 (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.l1_orders_2 B)) (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 $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.u1_struct_0 (tptp.k1_latsum_1 A B))) (forall ((F $$unsorted)) (let ((_let_1 (tptp.k1_latsum_1 A B))) (=> (tptp.m1_subset_1 F (tptp.u1_struct_0 _let_1)) (=> (and (= C E) (= D F) (tptp.r1_latsum_1 A B) (tptp.v3_orders_2 A)) (= (tptp.r1_orders_2 A C D) (tptp.r1_orders_2 _let_1 E F)))))))))))))))))) (let ((_let_2 (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 A B) (or (tptp.v1_xboole_0 B) (tptp.r2_hidden A B)))))) (let ((_let_3 (forall ((A $$unsorted)) (=> (and (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$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)) (= (= D (tptp.k13_lattice3 A B C)) (and (tptp.r1_orders_2 A B D) (tptp.r1_orders_2 A C D) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.u1_struct_0 A)) (=> (and (tptp.r1_orders_2 A B E) (tptp.r1_orders_2 A C E)) (tptp.r1_orders_2 A D E)))))))))))))))) (let ((_let_4 (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.r2_hidden A B) (tptp.m1_subset_1 A B))))) (let ((_let_5 (forall ((A $$unsorted)) (=> (tptp.l1_orders_2 A) (forall ((B $$unsorted)) (=> (tptp.l1_orders_2 B) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 (tptp.k1_latsum_1 A B))) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.k1_latsum_1 A B))) (let ((_let_3 (tptp.u1_struct_0 A))) (let ((_let_4 (tptp.k3_xboole_0 _let_3 _let_1))) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 _let_2)) (=> (and (tptp.v13_waybel_0 _let_4 A) (tptp.m1_subset_1 _let_4 (tptp.k1_zfmisc_1 _let_3)) (tptp.r1_orders_2 _let_2 C D) (tptp.r2_hidden C _let_1)) (tptp.r2_hidden D _let_1)))))))))))))))) (let ((_let_6 (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_waybel_0 B A) (tptp.v12_waybel_0 B A) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (=> (and (tptp.r2_hidden C B) (tptp.r2_hidden D B)) (tptp.r2_hidden (tptp.k13_lattice3 A C D) B)))))))))))) (let ((_let_7 (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.l1_orders_2 B)) (forall ((C $$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 B)) (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F (tptp.u1_struct_0 B)) (=> (and (= C E) (= D F) (tptp.r1_latsum_1 A B) (tptp.v3_orders_2 A) (tptp.v3_orders_2 B)) (= (tptp.r1_orders_2 A C D) (tptp.r1_orders_2 B E F))))))))))))))))) (let ((_let_8 (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.l1_orders_2 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (=> (tptp.r2_hidden C (tptp.k3_xboole_0 (tptp.u1_struct_0 A) _let_1)) (tptp.m1_subset_1 C _let_1)))))))))) (let ((_let_9 (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.v1_lattice3 B) (tptp.l1_orders_2 B)) (forall ((C $$unsorted)) (=> (tptp.r2_hidden C (tptp.u1_struct_0 A)) (tptp.m1_subset_1 C (tptp.u1_struct_0 (tptp.k1_latsum_1 A B))))))))))) (let ((_let_10 (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_struct_0 A)) (not (tptp.v1_xboole_0 (tptp.u1_struct_0 A))))))) (let ((_let_11 (forall ((A $$unsorted)) (=> (tptp.l1_orders_2 A) (tptp.l1_struct_0 A))))) (let ((_let_12 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.l1_orders_2 A) (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (tptp.m1_subset_1 (tptp.k13_lattice3 A B C) _let_1)))))) (let ((_let_13 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (= C (tptp.k3_xboole_0 A B)) (forall ((D $$unsorted)) (= (tptp.r2_hidden D C) (and (tptp.r2_hidden D A) (tptp.r2_hidden D B)))))))) (let ((_let_14 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.k3_xboole_0 A B) (tptp.k3_xboole_0 B A))))) (let ((_let_15 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.l1_orders_2 A) (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (= (tptp.k13_lattice3 A B C) (tptp.k13_lattice3 A C B))))))) (let ((_let_16 (not (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.v1_lattice3 B) (tptp.l1_orders_2 B)) (forall ((C $$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 B)) (forall ((F $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.u1_struct_0 B))) (let ((_let_3 (tptp.k3_xboole_0 _let_1 _let_2))) (=> (tptp.m1_subset_1 F _let_2) (=> (and (tptp.v1_waybel_0 _let_3 B) (tptp.v12_waybel_0 _let_3 B) (tptp.m1_subset_1 _let_3 (tptp.k1_zfmisc_1 _let_2)) (tptp.v13_waybel_0 _let_3 A) (tptp.m1_subset_1 _let_3 (tptp.k1_zfmisc_1 _let_1)) (tptp.r1_latsum_1 A B) (= C E) (= D F)) (= (tptp.k13_lattice3 A C D) (tptp.k13_lattice3 B E F))))))))))))))))))))) (let ((_let_17 (tptp.k13_lattice3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10))) (let ((_let_18 (tptp.k13_lattice3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10))) (let ((_let_19 (= _let_18 _let_17))) (let ((_let_20 (tptp.k13_lattice3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_18 _let_17))) (let ((_let_21 (= _let_17 _let_20))) (let ((_let_22 (= _let_18 _let_20))) (let ((_let_23 (tptp.u1_struct_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))) (let ((_let_24 (tptp.m1_subset_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 _let_23))) (let ((_let_25 (not _let_24))) (let ((_let_26 (tptp.u1_struct_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_27 (tptp.m1_subset_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 _let_26))) (let ((_let_28 (not _let_27))) (let ((_let_29 (or _let_28 _let_25 _let_19))) (let ((_let_30 (not _let_19))) (let ((_let_31 (forall ((D $$unsorted)) (or (not (tptp.m1_subset_1 D (tptp.u1_struct_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (not (tptp.m1_subset_1 D (tptp.u1_struct_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))) (= (tptp.k13_lattice3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 D) (tptp.k13_lattice3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 D)))))) (let ((_let_32 (not _let_29))) (let ((_let_33 (tptp.m1_subset_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 _let_23))) (let ((_let_34 (not _let_33))) (let ((_let_35 (tptp.m1_subset_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 _let_26))) (let ((_let_36 (not _let_35))) (let ((_let_37 (or _let_36 _let_34 _let_31))) (let ((_let_38 (not _let_31))) (let ((_let_39 (forall ((C $$unsorted)) (or (not (tptp.m1_subset_1 C (tptp.u1_struct_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (not (tptp.m1_subset_1 C (tptp.u1_struct_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))) (forall ((D $$unsorted)) (or (not (tptp.m1_subset_1 D (tptp.u1_struct_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (not (tptp.m1_subset_1 D (tptp.u1_struct_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))) (= (tptp.k13_lattice3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 C D) (tptp.k13_lattice3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 C D)))))))) (let ((_let_40 (not _let_37))) (let ((_let_41 (tptp.r1_latsum_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))) (let ((_let_42 (not _let_41))) (let ((_let_43 (tptp.k3_xboole_0 _let_26 _let_23))) (let ((_let_44 (tptp.m1_subset_1 _let_43 (tptp.k1_zfmisc_1 _let_26)))) (let ((_let_45 (not _let_44))) (let ((_let_46 (tptp.v13_waybel_0 _let_43 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_47 (not _let_46))) (let ((_let_48 (tptp.m1_subset_1 _let_43 (tptp.k1_zfmisc_1 _let_23)))) (let ((_let_49 (not _let_48))) (let ((_let_50 (tptp.v12_waybel_0 _let_43 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))) (let ((_let_51 (not _let_50))) (let ((_let_52 (tptp.v1_waybel_0 _let_43 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))) (let ((_let_53 (not _let_52))) (let ((_let_54 (tptp.l1_orders_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))) (let ((_let_55 (not _let_54))) (let ((_let_56 (tptp.v1_lattice3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))) (let ((_let_57 (not _let_56))) (let ((_let_58 (tptp.v4_orders_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))) (let ((_let_59 (not _let_58))) (let ((_let_60 (tptp.v3_orders_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))) (let ((_let_61 (not _let_60))) (let ((_let_62 (tptp.v2_orders_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))) (let ((_let_63 (not _let_62))) (let ((_let_64 (tptp.v3_struct_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))) (let ((_let_65 (or _let_64 _let_63 _let_61 _let_59 _let_57 _let_55 _let_53 _let_51 _let_49 _let_47 _let_45 _let_42 _let_39))) (let ((_let_66 (not _let_39))) (let ((_let_67 (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_2 (tptp.u1_struct_0 B))) (let ((_let_3 (tptp.k3_xboole_0 _let_1 _let_2))) (or (tptp.v3_struct_0 B) (not (tptp.v2_orders_2 B)) (not (tptp.v3_orders_2 B)) (not (tptp.v4_orders_2 B)) (not (tptp.v1_lattice3 B)) (not (tptp.l1_orders_2 B)) (not (tptp.v1_waybel_0 _let_3 B)) (not (tptp.v12_waybel_0 _let_3 B)) (not (tptp.m1_subset_1 _let_3 (tptp.k1_zfmisc_1 _let_2))) (not (tptp.v13_waybel_0 _let_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)) (not (tptp.m1_subset_1 _let_3 (tptp.k1_zfmisc_1 _let_1))) (not (tptp.r1_latsum_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 B)) (forall ((C $$unsorted)) (or (not (tptp.m1_subset_1 C (tptp.u1_struct_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (not (tptp.m1_subset_1 C (tptp.u1_struct_0 B))) (forall ((D $$unsorted)) (or (not (tptp.m1_subset_1 D (tptp.u1_struct_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (not (tptp.m1_subset_1 D (tptp.u1_struct_0 B))) (= (tptp.k13_lattice3 B C D) (tptp.k13_lattice3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 C D))))))))))))) (let ((_let_68 (not _let_65))) (let ((_let_69 (tptp.l1_orders_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_70 (not _let_69))) (let ((_let_71 (tptp.v1_lattice3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_72 (not _let_71))) (let ((_let_73 (tptp.v4_orders_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_74 (not _let_73))) (let ((_let_75 (tptp.v3_orders_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_76 (not _let_75))) (let ((_let_77 (tptp.v2_orders_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_78 (not _let_77))) (let ((_let_79 (tptp.v3_struct_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_80 (or _let_79 _let_78 _let_76 _let_74 _let_72 _let_70 _let_67))) (let ((_let_81 (not _let_67))) (let ((_let_82 (forall ((A $$unsorted)) (or (tptp.v3_struct_0 A) (not (tptp.v2_orders_2 A)) (not (tptp.v3_orders_2 A)) (not (tptp.v4_orders_2 A)) (not (tptp.v1_lattice3 A)) (not (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.u1_struct_0 B))) (let ((_let_3 (tptp.k3_xboole_0 _let_1 _let_2))) (or (tptp.v3_struct_0 B) (not (tptp.v2_orders_2 B)) (not (tptp.v3_orders_2 B)) (not (tptp.v4_orders_2 B)) (not (tptp.v1_lattice3 B)) (not (tptp.l1_orders_2 B)) (not (tptp.v1_waybel_0 _let_3 B)) (not (tptp.v12_waybel_0 _let_3 B)) (not (tptp.m1_subset_1 _let_3 (tptp.k1_zfmisc_1 _let_2))) (not (tptp.v13_waybel_0 _let_3 A)) (not (tptp.m1_subset_1 _let_3 (tptp.k1_zfmisc_1 _let_1))) (not (tptp.r1_latsum_1 A B)) (forall ((C $$unsorted)) (or (not (tptp.m1_subset_1 C (tptp.u1_struct_0 A))) (not (tptp.m1_subset_1 C (tptp.u1_struct_0 B))) (forall ((D $$unsorted)) (or (not (tptp.m1_subset_1 D (tptp.u1_struct_0 A))) (not (tptp.m1_subset_1 D (tptp.u1_struct_0 B))) (= (tptp.k13_lattice3 A C D) (tptp.k13_lattice3 B C D))))))))))))))) (let ((_let_83 (not _let_80))) (let ((_let_84 (EQ_RESOLVE (ASSUME :args (_let_16)) (MACRO_SR_EQ_INTRO :args (_let_16 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_85 (or))) (let ((_let_86 (not _let_82))) (let ((_let_87 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE _let_84) :args (_let_86)) (REWRITE :args ((=> _let_86 (not (or _let_79 _let_78 _let_76 _let_74 _let_72 _let_70 (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_2 (tptp.u1_struct_0 B))) (let ((_let_3 (tptp.k3_xboole_0 _let_1 _let_2))) (or (tptp.v3_struct_0 B) (not (tptp.v2_orders_2 B)) (not (tptp.v3_orders_2 B)) (not (tptp.v4_orders_2 B)) (not (tptp.v1_lattice3 B)) (not (tptp.l1_orders_2 B)) (not (tptp.v1_waybel_0 _let_3 B)) (not (tptp.v12_waybel_0 _let_3 B)) (not (tptp.m1_subset_1 _let_3 (tptp.k1_zfmisc_1 _let_2))) (not (tptp.v13_waybel_0 _let_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)) (not (tptp.m1_subset_1 _let_3 (tptp.k1_zfmisc_1 _let_1))) (not (tptp.r1_latsum_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 B)) (forall ((C $$unsorted)) (or (not (tptp.m1_subset_1 C (tptp.u1_struct_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (not (tptp.m1_subset_1 C (tptp.u1_struct_0 B))) (forall ((D $$unsorted)) (or (not (tptp.m1_subset_1 D (tptp.u1_struct_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (not (tptp.m1_subset_1 D (tptp.u1_struct_0 B))) (= (tptp.k13_lattice3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 C D) (tptp.k13_lattice3 B C D)))))))))))))))))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_86) _let_82))) (REFL :args (_let_83)) :args _let_85)) _let_84 :args (_let_83 true _let_82)))) (let ((_let_88 (_let_81))) (let ((_let_89 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE (ASSUME :args _let_88)) :args _let_88) (REWRITE :args ((=> _let_81 (not (or _let_64 _let_63 _let_61 _let_59 _let_57 _let_55 _let_53 _let_51 _let_49 _let_47 _let_45 _let_42 (forall ((C $$unsorted)) (or (not (tptp.m1_subset_1 C (tptp.u1_struct_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (not (tptp.m1_subset_1 C (tptp.u1_struct_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))) (forall ((D $$unsorted)) (or (not (tptp.m1_subset_1 D (tptp.u1_struct_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (not (tptp.m1_subset_1 D (tptp.u1_struct_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))) (= (tptp.k13_lattice3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 C D) (tptp.k13_lattice3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 C D))))))))))))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_81) _let_67))) (REFL :args (_let_68)) :args _let_85)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_80 6)) _let_87 :args (_let_81 true _let_80)) :args (_let_68 true _let_67)))) (let ((_let_90 (_let_66))) (let ((_let_91 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_90)) :args _let_90)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_66) _let_39))) (REFL :args (_let_40)) :args _let_85)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_65 12)) _let_89 :args (_let_66 true _let_65)) :args (_let_40 true _let_39)))) (let ((_let_92 (_let_38))) (let ((_let_93 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_92)) :args _let_92)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_38) _let_31))) (REFL :args (_let_32)) :args _let_85)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_37 2)) _let_91 :args (_let_38 true _let_37)) :args (_let_32 true _let_31)))) (let ((_let_94 (tptp.r1_orders_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_17 _let_17))) (let ((_let_95 (tptp.r1_orders_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_18 _let_17))) (let ((_let_96 (and _let_95 _let_94))) (let ((_let_97 (= _let_21 _let_96))) (let ((_let_98 (tptp.m1_subset_1 _let_17 _let_26))) (let ((_let_99 (not _let_98))) (let ((_let_100 (or _let_99 _let_97))) (let ((_let_101 (forall ((D $$unsorted)) (let ((_let_1 (tptp.k13_lattice3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10))) (let ((_let_2 (tptp.k13_lattice3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10))) (or (not (tptp.m1_subset_1 D (tptp.u1_struct_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (= (= D (tptp.k13_lattice3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_2 _let_1)) (and (tptp.r1_orders_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_2 D) (tptp.r1_orders_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_1 D) (forall ((E $$unsorted)) (or (not (tptp.m1_subset_1 E (tptp.u1_struct_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (not (tptp.r1_orders_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 (tptp.k13_lattice3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10) E)) (not (tptp.r1_orders_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 (tptp.k13_lattice3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10) E)) (tptp.r1_orders_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 D E))))))))))) (let ((_let_102 (or _let_99 _let_101))) (let ((_let_103 (forall ((C $$unsorted)) (or (not (tptp.m1_subset_1 C (tptp.u1_struct_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k13_lattice3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10))) (or (not (tptp.m1_subset_1 D (tptp.u1_struct_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (= (= D (tptp.k13_lattice3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_1 C)) (and (tptp.r1_orders_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_1 D) (tptp.r1_orders_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 C D) (forall ((E $$unsorted)) (or (not (tptp.m1_subset_1 E (tptp.u1_struct_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (not (tptp.r1_orders_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 (tptp.k13_lattice3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10) E)) (not (tptp.r1_orders_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 C E)) (tptp.r1_orders_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 D E)))))))))))) (let ((_let_104 (tptp.m1_subset_1 _let_18 _let_26))) (let ((_let_105 (not _let_104))) (let ((_let_106 (or _let_105 _let_103))) (let ((_let_107 (forall ((B $$unsorted)) (or (not (tptp.m1_subset_1 B (tptp.u1_struct_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (forall ((C $$unsorted)) (or (not (tptp.m1_subset_1 C (tptp.u1_struct_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (forall ((D $$unsorted)) (or (not (tptp.m1_subset_1 D (tptp.u1_struct_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (= (= D (tptp.k13_lattice3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 B C)) (and (tptp.r1_orders_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 B D) (tptp.r1_orders_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 C D) (forall ((E $$unsorted)) (or (not (tptp.m1_subset_1 E (tptp.u1_struct_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (not (tptp.r1_orders_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 B E)) (not (tptp.r1_orders_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 C E)) (tptp.r1_orders_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 D E))))))))))))) (let ((_let_108 (or _let_74 _let_72 _let_70 _let_107))) (let ((_let_109 (forall ((A $$unsorted)) (or (not (tptp.v4_orders_2 A)) (not (tptp.v1_lattice3 A)) (not (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (or (not (tptp.m1_subset_1 B (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (or (not (tptp.m1_subset_1 C (tptp.u1_struct_0 A))) (forall ((D $$unsorted)) (or (not (tptp.m1_subset_1 D (tptp.u1_struct_0 A))) (= (= D (tptp.k13_lattice3 A B C)) (and (tptp.r1_orders_2 A B D) (tptp.r1_orders_2 A C D) (forall ((E $$unsorted)) (or (not (tptp.m1_subset_1 E (tptp.u1_struct_0 A))) (not (tptp.r1_orders_2 A B E)) (not (tptp.r1_orders_2 A C E)) (tptp.r1_orders_2 A D E))))))))))))))) (let ((_let_110 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_111 (_let_109))) (let ((_let_112 ((not (= (tptp.v4_orders_2 A) false))))) (let ((_let_113 (REFL :args (_let_80)))) (let ((_let_114 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_80 5)) (CONG _let_113 (MACRO_SR_PRED_INTRO :args ((= (not _let_70) _let_69))) :args _let_85)) :args ((or _let_69 _let_80))) _let_87 :args (_let_69 true _let_80)))) (let ((_let_115 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_80 4)) (CONG _let_113 (MACRO_SR_PRED_INTRO :args ((= (not _let_72) _let_71))) :args _let_85)) :args ((or _let_71 _let_80))) _let_87 :args (_let_71 true _let_80)))) (let ((_let_116 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_80 3)) (CONG _let_113 (MACRO_SR_PRED_INTRO :args ((= (not _let_74) _let_73))) :args _let_85)) :args ((or _let_73 _let_80))) _let_87 :args (_let_73 true _let_80)))) (let ((_let_117 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_108)) :args ((or _let_74 _let_72 _let_70 _let_107 (not _let_108)))) _let_116 _let_115 _let_114 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_110 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_112)) :args _let_111)) _let_110 :args (_let_108 false _let_109)) :args (_let_107 false _let_73 false _let_71 false _let_69 false _let_108)))) (let ((_let_118 (_let_107))) (let ((_let_119 (ASSUME :args _let_118))) (let ((_let_120 (or _let_74 _let_72 _let_70 _let_36 _let_28 _let_104))) (let ((_let_121 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (or (not (tptp.v4_orders_2 A)) (not (tptp.v1_lattice3 A)) (not (tptp.l1_orders_2 A)) (not (tptp.m1_subset_1 B _let_1)) (not (tptp.m1_subset_1 C _let_1)) (tptp.m1_subset_1 (tptp.k13_lattice3 A B C) _let_1)))))) (let ((_let_122 (EQ_RESOLVE (ASSUME :args (_let_12)) (MACRO_SR_EQ_INTRO :args (_let_12 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_123 (_let_121))) (let ((_let_124 ((tptp.k13_lattice3 A B C)))) (let ((_let_125 (REFL :args (_let_29)))) (let ((_let_126 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_29 0)) (CONG _let_125 (MACRO_SR_PRED_INTRO :args ((= (not _let_28) _let_27))) :args _let_85)) :args ((or _let_27 _let_29))) _let_93 :args (_let_27 true _let_29)))) (let ((_let_127 (REFL :args (_let_37)))) (let ((_let_128 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_37 0)) (CONG _let_127 (MACRO_SR_PRED_INTRO :args ((= (not _let_36) _let_35))) :args _let_85)) :args ((or _let_35 _let_37))) _let_91 :args (_let_35 true _let_37)))) (let ((_let_129 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_120)) :args ((or _let_74 _let_72 _let_70 _let_36 _let_28 _let_104 (not _let_120)))) _let_116 _let_115 _let_114 _let_128 _let_126 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_122 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_124)) :args _let_123)) _let_122 :args (_let_120 false _let_121)) :args (_let_104 false _let_73 false _let_71 false _let_69 false _let_35 false _let_27 false _let_120)))) (let ((_let_130 (_let_103))) (let ((_let_131 (tptp.k3_xboole_0 _let_23 _let_26))) (let ((_let_132 (tptp.r2_hidden _let_17 _let_131))) (let ((_let_133 (not _let_132))) (let ((_let_134 (or _let_133 _let_98))) (let ((_let_135 (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (or (not (tptp.r2_hidden C (tptp.k3_xboole_0 (tptp.u1_struct_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8) _let_1))) (tptp.m1_subset_1 C _let_1)))))) (let ((_let_136 (or _let_79 _let_70 _let_135))) (let ((_let_137 (forall ((B $$unsorted)) (or (tptp.v3_struct_0 B) (not (tptp.l1_orders_2 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (or (not (tptp.r2_hidden C (tptp.k3_xboole_0 (tptp.u1_struct_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8) _let_1))) (tptp.m1_subset_1 C _let_1)))))))) (let ((_let_138 (or _let_64 _let_55 _let_137))) (let ((_let_139 (forall ((A $$unsorted)) (or (tptp.v3_struct_0 A) (not (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (or (tptp.v3_struct_0 B) (not (tptp.l1_orders_2 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (or (not (tptp.r2_hidden C (tptp.k3_xboole_0 (tptp.u1_struct_0 A) _let_1))) (tptp.m1_subset_1 C _let_1)))))))))) (let ((_let_140 (EQ_RESOLVE (ASSUME :args (_let_8)) (MACRO_SR_EQ_INTRO :args (_let_8 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_141 (REFL :args (_let_65)))) (let ((_let_142 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_65 5)) (CONG _let_141 (MACRO_SR_PRED_INTRO :args ((= (not _let_55) _let_54))) :args _let_85)) :args ((or _let_54 _let_65))) _let_89 :args (_let_54 true _let_65)))) (let ((_let_143 (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_65 0)) _let_89 :args ((not _let_64) true _let_65)))) (let ((_let_144 (_let_137))) (let ((_let_145 (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_80 0)) _let_87 :args ((not _let_79) true _let_80)))) (let ((_let_146 (_let_135))) (let ((_let_147 (tptp.k13_lattice3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9))) (let ((_let_148 (tptp.r2_hidden _let_147 _let_43))) (let ((_let_149 (= _let_43 _let_131))) (let ((_let_150 (= _let_17 _let_147))) (let ((_let_151 (tptp.r2_hidden SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 _let_43))) (let ((_let_152 (not _let_151))) (let ((_let_153 (or _let_34 _let_152 _let_148))) (let ((_let_154 (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))) (let ((_let_2 (tptp.k3_xboole_0 (tptp.u1_struct_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2) _let_1))) (or (not (tptp.m1_subset_1 D _let_1)) (not (tptp.r2_hidden D _let_2)) (tptp.r2_hidden (tptp.k13_lattice3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 D) _let_2))))))) (let ((_let_155 (tptp.r2_hidden SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 _let_43))) (let ((_let_156 (not _let_155))) (let ((_let_157 (or _let_25 _let_156 _let_154))) (let ((_let_158 (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))) (or (not (tptp.m1_subset_1 C _let_1)) (not (tptp.r2_hidden C (tptp.k3_xboole_0 (tptp.u1_struct_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2) _let_1))) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))) (let ((_let_2 (tptp.k3_xboole_0 (tptp.u1_struct_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2) _let_1))) (or (not (tptp.m1_subset_1 D _let_1)) (not (tptp.r2_hidden D _let_2)) (tptp.r2_hidden (tptp.k13_lattice3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 C D) _let_2)))))))))) (let ((_let_159 (or _let_53 _let_51 _let_49 _let_158))) (let ((_let_160 (forall ((B $$unsorted)) (or (not (tptp.v1_waybel_0 B SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8)) (not (tptp.v12_waybel_0 B SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8)) (not (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8)))) (forall ((C $$unsorted)) (or (not (tptp.m1_subset_1 C (tptp.u1_struct_0 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((_let_163 (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_164 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_65 4)) (CONG _let_141 (MACRO_SR_PRED_INTRO :args ((= (not _let_57) _let_56))) :args _let_85)) :args ((or _let_56 _let_65))) _let_89 :args (_let_56 true _let_65)))) (let ((_let_165 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_65 3)) (CONG _let_141 (MACRO_SR_PRED_INTRO :args ((= (not _let_59) _let_58))) :args _let_85)) :args ((or _let_58 _let_65))) _let_89 :args (_let_58 true _let_65)))) (let ((_let_166 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_65 2)) (CONG _let_141 (MACRO_SR_PRED_INTRO :args ((= (not _let_61) _let_60))) :args _let_85)) :args ((or _let_60 _let_65))) _let_89 :args (_let_60 true _let_65)))) (let ((_let_167 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_65 1)) (CONG _let_141 (MACRO_SR_PRED_INTRO 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false))))) :args _let_168)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_161)) :args ((or _let_64 _let_63 _let_61 _let_59 _let_57 _let_55 _let_160 (not _let_161)))) _let_143 _let_167 _let_166 _let_165 _let_164 _let_142 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_163 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.v3_struct_0 A) true))))) :args (_let_162))) _let_163 :args (_let_161 false _let_162)) :args (_let_160 true _let_64 false _let_62 false _let_60 false _let_58 false _let_56 false _let_54 false _let_161)) :args (_let_159 false _let_160)) :args (_let_158 false _let_52 false _let_50 false _let_48 false _let_159)) :args (_let_157 false _let_158)) :args (_let_154 false _let_24 false _let_155 false _let_157)) :args (_let_153 false _let_154)) :args (_let_148 false _let_33 false _let_151 false _let_153)) :args (_let_132 false _let_150 false _let_149 false _let_148)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_146) :args (_let_17 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.m1_subset_1 C _let_26) true))))) :args _let_146)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_136)) :args ((or _let_79 _let_70 _let_135 (not _let_136)))) _let_145 _let_114 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_144) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.v3_struct_0 B) true))))) :args _let_144)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_138)) :args ((or _let_64 _let_55 _let_137 (not _let_138)))) _let_143 _let_142 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_140 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.v3_struct_0 A) true))))) :args (_let_139))) _let_140 :args (_let_138 false _let_139)) :args (_let_137 true _let_64 false _let_54 false _let_138)) :args (_let_136 false _let_137)) :args (_let_135 true _let_79 false _let_69 false _let_136)) :args (_let_134 false _let_135)) :args (_let_98 false _let_132 false _let_134)))) (let ((_let_233 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_102)) :args ((or _let_99 _let_101 (not _let_102)))) _let_232 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_130) :args (_let_17 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.m1_subset_1 C _let_26) false))))) :args _let_130)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_106)) :args ((or _let_105 _let_103 (not _let_106)))) _let_129 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_119 :args (_let_18 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.m1_subset_1 B _let_26) false))))) :args _let_118)) _let_117 :args (_let_106 false _let_107)) :args (_let_103 false _let_104 false _let_106)) :args (_let_102 false _let_103)) :args (_let_101 false _let_98 false _let_102)))) (let ((_let_234 (_let_101))) (let ((_let_235 ((not (= (tptp.m1_subset_1 D _let_26) false))))) (let ((_let_236 (ASSUME :args _let_234))) (let ((_let_237 (tptp.r1_orders_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 _let_17 _let_17))) (let ((_let_238 (= _let_237 _let_94))) (let ((_let_239 (tptp.m1_subset_1 _let_17 _let_23))) (let ((_let_240 (not _let_239))) (let ((_let_241 (or _let_99 _let_240 _let_238))) (let ((_let_242 (forall ((D $$unsorted)) (let ((_let_1 (tptp.k13_lattice3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10))) (or (not (tptp.m1_subset_1 D (tptp.u1_struct_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (not (tptp.m1_subset_1 D (tptp.u1_struct_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))) (= (tptp.r1_orders_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_1 D) (tptp.r1_orders_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 _let_1 D))))))) (let ((_let_243 (or _let_99 _let_240 _let_242))) (let ((_let_244 (forall ((C $$unsorted)) (or (not (tptp.m1_subset_1 C (tptp.u1_struct_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (not (tptp.m1_subset_1 C (tptp.u1_struct_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))) (forall ((D $$unsorted)) (or (not (tptp.m1_subset_1 D (tptp.u1_struct_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (not (tptp.m1_subset_1 D (tptp.u1_struct_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))) (= (tptp.r1_orders_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 C D) (tptp.r1_orders_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 C D)))))))) (let ((_let_245 (or _let_64 _let_55 _let_42 _let_61 _let_244))) (let ((_let_246 (forall ((B $$unsorted)) (or (tptp.v3_struct_0 B) (not (tptp.l1_orders_2 B)) (not (tptp.r1_latsum_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 B)) (not (tptp.v3_orders_2 B)) (forall ((C $$unsorted)) (or (not (tptp.m1_subset_1 C (tptp.u1_struct_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (not (tptp.m1_subset_1 C (tptp.u1_struct_0 B))) (forall ((D $$unsorted)) (or (not (tptp.m1_subset_1 D (tptp.u1_struct_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (not (tptp.m1_subset_1 D (tptp.u1_struct_0 B))) (= (tptp.r1_orders_2 B C D) (tptp.r1_orders_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 C D)))))))))) (let ((_let_247 (or _let_79 _let_70 _let_76 _let_246))) (let ((_let_248 (forall ((A $$unsorted)) (or (tptp.v3_struct_0 A) (not (tptp.l1_orders_2 A)) (not (tptp.v3_orders_2 A)) (forall ((B $$unsorted)) (or (tptp.v3_struct_0 B) (not (tptp.l1_orders_2 B)) (not (tptp.r1_latsum_1 A B)) (not (tptp.v3_orders_2 B)) (forall ((C $$unsorted)) (or (not (tptp.m1_subset_1 C (tptp.u1_struct_0 A))) (not (tptp.m1_subset_1 C (tptp.u1_struct_0 B))) (forall ((D $$unsorted)) (or (not (tptp.m1_subset_1 D (tptp.u1_struct_0 A))) (not (tptp.m1_subset_1 D (tptp.u1_struct_0 B))) (= (tptp.r1_orders_2 A C D) (tptp.r1_orders_2 B C D)))))))))))) (let ((_let_249 (EQ_RESOLVE (ASSUME :args (_let_7)) (MACRO_SR_EQ_INTRO :args (_let_7 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_250 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_80 2)) (CONG _let_113 (MACRO_SR_PRED_INTRO :args ((= (not _let_76) _let_75))) :args _let_85)) :args ((or _let_75 _let_80))) _let_87 :args (_let_75 true _let_80)))) (let ((_let_251 (_let_246))) (let ((_let_252 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_65 11)) (CONG _let_141 (MACRO_SR_PRED_INTRO :args ((= (not _let_42) _let_41))) :args _let_85)) :args ((or _let_41 _let_65))) _let_89 :args (_let_41 true _let_65)))) (let ((_let_253 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_245)) :args ((or _let_64 _let_61 _let_55 _let_42 _let_244 (not _let_245)))) _let_143 _let_166 _let_142 _let_252 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_251) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 QUANTIFIERS_INST_CBQI_PROP)) :args _let_251))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_247)) :args ((or _let_79 _let_76 _let_70 _let_246 (not _let_247)))) _let_145 _let_250 _let_114 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_249 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_CBQI_PROP)) :args (_let_248)))) _let_249 :args (_let_247 false _let_248)) :args (_let_246 true _let_79 false _let_75 false _let_69 false _let_247)) :args (_let_245 false _let_246)) :args (_let_244 true _let_64 false _let_60 false _let_54 false _let_41 false _let_245)))) (let ((_let_254 (_let_244))) (let ((_let_255 ((not (= (tptp.m1_subset_1 C _let_23) false))))) (let ((_let_256 (ASSUME :args _let_254))) (let ((_let_257 (or _let_59 _let_57 _let_55 _let_34 _let_25 _let_239))) (let ((_let_258 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_257)) :args ((or _let_59 _let_57 _let_55 _let_34 _let_25 _let_239 (not _let_257)))) _let_165 _let_164 _let_142 _let_216 _let_200 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_122 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_124)) :args _let_123)) _let_122 :args (_let_257 false _let_121)) :args (_let_239 false _let_58 false _let_56 false _let_54 false _let_33 false _let_24 false _let_257)))) (let ((_let_259 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_243)) :args ((or _let_240 _let_99 _let_242 (not _let_243)))) _let_258 _let_232 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_256 :args (_let_17 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_255)) :args _let_254)) _let_253 :args (_let_243 false _let_244)) :args (_let_242 false _let_239 false _let_98 false _let_243)))) (let ((_let_260 (_let_242))) (let ((_let_261 ((not (= (tptp.m1_subset_1 D _let_26) false))))) (let ((_let_262 (ASSUME :args _let_260))) (let ((_let_263 (tptp.r1_orders_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 _let_17))) (let ((_let_264 (not _let_263))) (let ((_let_265 (tptp.r1_orders_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 _let_17))) (let ((_let_266 (not _let_265))) (let ((_let_267 (or _let_240 _let_266 _let_264 _let_237))) (let ((_let_268 (forall ((E $$unsorted)) (or (not (tptp.m1_subset_1 E (tptp.u1_struct_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))) (not (tptp.r1_orders_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 E)) (not (tptp.r1_orders_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 E)) (tptp.r1_orders_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 (tptp.k13_lattice3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10) E))))) (let ((_let_269 (and _let_265 _let_263 _let_268))) (let ((_let_270 (or _let_240 _let_269))) (let ((_let_271 (forall ((D $$unsorted)) (or (not (tptp.m1_subset_1 D (tptp.u1_struct_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))) (= (= D (tptp.k13_lattice3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10)) (and (tptp.r1_orders_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 D) (tptp.r1_orders_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 D) (forall ((E $$unsorted)) (or (not (tptp.m1_subset_1 E (tptp.u1_struct_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))) (not (tptp.r1_orders_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 E)) (not (tptp.r1_orders_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 E)) (tptp.r1_orders_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 D E))))))))) (let ((_let_272 (or _let_25 _let_271))) (let ((_let_273 (forall ((C $$unsorted)) (or (not (tptp.m1_subset_1 C (tptp.u1_struct_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))) (forall ((D $$unsorted)) (or (not (tptp.m1_subset_1 D (tptp.u1_struct_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))) (= (= D (tptp.k13_lattice3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 C)) (and (tptp.r1_orders_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 D) (tptp.r1_orders_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 C D) (forall ((E $$unsorted)) (or (not (tptp.m1_subset_1 E (tptp.u1_struct_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))) (not (tptp.r1_orders_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 E)) (not (tptp.r1_orders_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 C E)) (tptp.r1_orders_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 D E))))))))))) (let ((_let_274 (or _let_34 _let_273))) (let ((_let_275 (forall ((B $$unsorted)) (or (not (tptp.m1_subset_1 B (tptp.u1_struct_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))) (forall ((C $$unsorted)) (or (not (tptp.m1_subset_1 C (tptp.u1_struct_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))) (forall ((D $$unsorted)) (or (not (tptp.m1_subset_1 D (tptp.u1_struct_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))) (= (= D (tptp.k13_lattice3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 B C)) (and (tptp.r1_orders_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 B D) (tptp.r1_orders_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 C D) (forall ((E $$unsorted)) (or (not (tptp.m1_subset_1 E (tptp.u1_struct_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))) (not (tptp.r1_orders_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 B E)) (not (tptp.r1_orders_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 C E)) (tptp.r1_orders_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 D E))))))))))))) (let ((_let_276 (or _let_59 _let_57 _let_55 _let_275))) (let ((_let_277 (_let_275))) (let ((_let_278 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 QUANTIFIERS_INST_CBQI_PROP))) (let ((_let_279 (_let_273))) (let ((_let_280 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 QUANTIFIERS_INST_CBQI_PROP))) (let ((_let_281 (_let_271))) (let ((_let_282 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_270)) :args ((or _let_240 _let_269 (not _let_270)))) _let_258 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_281) :args (_let_17 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.m1_subset_1 D _let_23) false))))) :args _let_281))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_272)) :args ((or _let_25 _let_271 (not _let_272)))) _let_200 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_279) :args _let_280) :args _let_279)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_274)) :args ((or _let_34 _let_273 (not _let_274)))) _let_216 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_277) :args _let_278) :args _let_277)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_276)) :args ((or _let_59 _let_57 _let_55 _let_275 (not _let_276)))) _let_165 _let_164 _let_142 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_110 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_112)) :args _let_111)) _let_110 :args (_let_276 false _let_109)) :args (_let_275 false _let_58 false _let_56 false _let_54 false _let_276)) :args (_let_274 false _let_275)) :args (_let_273 false _let_33 false _let_274)) :args (_let_272 false _let_273)) :args (_let_271 false _let_24 false _let_272)) :args (_let_270 false _let_271)) :args (_let_269 false _let_239 false _let_270)))) (let ((_let_283 (not _let_269))) (let ((_let_284 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_269 2)) :args ((or _let_268 _let_283))) _let_282 :args (_let_268 false _let_269)))) (let ((_let_285 (_let_268))) (let ((_let_286 ((not (= (tptp.m1_subset_1 E _let_23) false))))) (let ((_let_287 (ASSUME :args _let_285))) (let ((_let_288 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_269 1)) :args ((or _let_263 _let_283))) _let_282 :args (_let_263 false _let_269)))) (let ((_let_289 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_269 0)) :args ((or _let_265 _let_283))) _let_282 :args (_let_265 false _let_269)))) (let ((_let_290 (tptp.r1_orders_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 _let_17))) (let ((_let_291 (not _let_290))) (let ((_let_292 (tptp.r1_orders_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 _let_17))) (let ((_let_293 (not _let_292))) (let ((_let_294 (or _let_99 _let_293 _let_291 _let_95))) (let ((_let_295 (forall ((E $$unsorted)) (or (not (tptp.m1_subset_1 E (tptp.u1_struct_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (not (tptp.r1_orders_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 E)) (not (tptp.r1_orders_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 E)) (tptp.r1_orders_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 (tptp.k13_lattice3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10) E))))) (let ((_let_296 (tptp.r1_orders_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 _let_18))) (let ((_let_297 (tptp.r1_orders_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 _let_18))) (let ((_let_298 (and _let_297 _let_296 _let_295))) (let ((_let_299 (or _let_105 _let_298))) (let ((_let_300 (forall ((D $$unsorted)) (or (not (tptp.m1_subset_1 D (tptp.u1_struct_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (= (= D (tptp.k13_lattice3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10)) (and (tptp.r1_orders_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 D) (tptp.r1_orders_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 D) (forall ((E $$unsorted)) (or (not (tptp.m1_subset_1 E (tptp.u1_struct_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (not (tptp.r1_orders_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 E)) (not (tptp.r1_orders_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 E)) (tptp.r1_orders_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 D E))))))))) (let ((_let_301 (or _let_28 _let_300))) (let ((_let_302 (forall ((C $$unsorted)) (or (not (tptp.m1_subset_1 C (tptp.u1_struct_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (forall ((D $$unsorted)) (or (not (tptp.m1_subset_1 D (tptp.u1_struct_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (= (= D (tptp.k13_lattice3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 C)) (and (tptp.r1_orders_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 D) (tptp.r1_orders_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 C D) (forall ((E $$unsorted)) (or (not (tptp.m1_subset_1 E (tptp.u1_struct_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (not (tptp.r1_orders_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 E)) (not (tptp.r1_orders_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 C E)) (tptp.r1_orders_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 D E))))))))))) (let ((_let_303 (or _let_36 _let_302))) (let ((_let_304 (_let_302))) (let ((_let_305 (_let_300))) (let ((_let_306 (_let_18 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_235))) (let ((_let_307 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_299)) :args ((or _let_105 _let_298 (not _let_299)))) _let_129 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_305) :args _let_306) :args _let_305))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_301)) :args ((or _let_28 _let_300 (not _let_301)))) _let_126 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_304) :args _let_280) :args _let_304)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_303)) :args ((or _let_36 _let_302 (not _let_303)))) _let_128 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_119 :args _let_278) :args _let_118)) _let_117 :args (_let_303 false _let_107)) :args (_let_302 false _let_35 false _let_303)) :args (_let_301 false _let_302)) :args (_let_300 false _let_27 false _let_301)) :args (_let_299 false _let_300)) :args (_let_298 false _let_104 false _let_299)))) (let ((_let_308 (not _let_298))) (let ((_let_309 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_298 2)) :args ((or _let_295 _let_308))) _let_307 :args (_let_295 false _let_298)))) (let ((_let_310 (_let_295))) (let ((_let_311 ((not (= (tptp.m1_subset_1 E _let_26) false))))) (let ((_let_312 (ASSUME :args _let_310))) (let ((_let_313 (= _let_290 _let_263))) (let ((_let_314 (or _let_99 _let_240 _let_313))) (let ((_let_315 (forall ((D $$unsorted)) (or (not (tptp.m1_subset_1 D (tptp.u1_struct_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (not (tptp.m1_subset_1 D (tptp.u1_struct_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))) (= (tptp.r1_orders_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 D) (tptp.r1_orders_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 D)))))) (let ((_let_316 (or _let_28 _let_25 _let_315))) (let ((_let_317 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_316)) :args ((or _let_28 _let_25 _let_315 (not _let_316)))) _let_126 _let_200 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_256 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_255)) :args _let_254)) _let_253 :args (_let_316 false _let_244)) :args (_let_315 false _let_27 false _let_24 false _let_316)))) (let ((_let_318 (_let_315))) (let ((_let_319 (_let_17 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.m1_subset_1 D _let_23) false)))))) (let ((_let_320 (ASSUME :args _let_318))) (let ((_let_321 (= _let_292 _let_265))) (let ((_let_322 (or _let_99 _let_240 _let_321))) (let ((_let_323 (forall ((D $$unsorted)) (or (not (tptp.m1_subset_1 D (tptp.u1_struct_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (not (tptp.m1_subset_1 D (tptp.u1_struct_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))) (= (tptp.r1_orders_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 D) (tptp.r1_orders_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 D)))))) (let ((_let_324 (or _let_36 _let_34 _let_323))) (let ((_let_325 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_324)) :args ((or _let_36 _let_34 _let_323 (not _let_324)))) _let_128 _let_216 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_256 :args _let_278) :args _let_254)) _let_253 :args (_let_324 false _let_244)) :args (_let_323 false _let_35 false _let_33 false _let_324)))) (let ((_let_326 (_let_323))) (let ((_let_327 (ASSUME :args _let_326))) (let ((_let_328 (tptp.r1_orders_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_17 _let_18))) (let ((_let_329 (tptp.r1_orders_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_18 _let_18))) (let ((_let_330 (and _let_329 _let_328))) (let ((_let_331 (= _let_22 _let_330))) (let ((_let_332 (or _let_105 _let_331))) (let ((_let_333 (tptp.r1_orders_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 _let_17 _let_18))) (let ((_let_334 (= _let_328 _let_333))) (let ((_let_335 (tptp.m1_subset_1 _let_18 _let_23))) (let ((_let_336 (not _let_335))) (let ((_let_337 (or _let_105 _let_336 _let_334))) (let ((_let_338 (_let_18 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_261))) (let ((_let_339 (tptp.r2_hidden _let_18 _let_23))) (let ((_let_340 (not _let_339))) (let ((_let_341 (or _let_340 _let_335))) (let ((_let_342 (forall ((A $$unsorted) (B $$unsorted)) (or (not (tptp.r2_hidden A B)) (tptp.m1_subset_1 A B))))) (let ((_let_343 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_344 (tptp.k1_latsum_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))) (let ((_let_345 (tptp.r1_orders_2 _let_344 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 _let_18))) (let ((_let_346 (not _let_345))) (let ((_let_347 (tptp.u1_struct_0 _let_344))) (let ((_let_348 (tptp.m1_subset_1 _let_18 _let_347))) (let ((_let_349 (not _let_348))) (let ((_let_350 (or _let_349 _let_346 _let_339))) (let ((_let_351 (forall ((D $$unsorted)) (let ((_let_1 (tptp.k1_latsum_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))) (or (not (tptp.m1_subset_1 D (tptp.u1_struct_0 _let_1))) (not (tptp.r1_orders_2 _let_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 D)) (tptp.r2_hidden D (tptp.u1_struct_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))))))) (let ((_let_352 (tptp.m1_subset_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 _let_347))) (let ((_let_353 (not _let_352))) (let ((_let_354 (or _let_353 _let_220 _let_351))) (let ((_let_355 (forall ((C $$unsorted)) (or (not (tptp.m1_subset_1 C (tptp.u1_struct_0 (tptp.k1_latsum_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8)))) (not (tptp.r2_hidden C (tptp.u1_struct_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k1_latsum_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))) (or (not (tptp.m1_subset_1 D (tptp.u1_struct_0 _let_1))) (not (tptp.r1_orders_2 _let_1 C D)) (tptp.r2_hidden D (tptp.u1_struct_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))))))))) (let ((_let_356 (or _let_55 _let_47 _let_45 _let_355))) (let ((_let_357 (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_2 (tptp.k3_xboole_0 _let_1 (tptp.u1_struct_0 B)))) (or (not (tptp.l1_orders_2 B)) (not (tptp.v13_waybel_0 _let_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)) (not (tptp.m1_subset_1 _let_2 (tptp.k1_zfmisc_1 _let_1))) (forall ((C $$unsorted)) (or (not (tptp.m1_subset_1 C (tptp.u1_struct_0 (tptp.k1_latsum_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 B)))) (not (tptp.r2_hidden C (tptp.u1_struct_0 B))) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k1_latsum_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 B))) (or (not (tptp.m1_subset_1 D (tptp.u1_struct_0 _let_1))) (not (tptp.r1_orders_2 _let_1 C D)) (tptp.r2_hidden D (tptp.u1_struct_0 B))))))))))))) (let ((_let_358 (or _let_70 _let_357))) (let ((_let_359 (forall ((A $$unsorted)) (or (not (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.k3_xboole_0 _let_1 (tptp.u1_struct_0 B)))) (or (not (tptp.l1_orders_2 B)) (not (tptp.v13_waybel_0 _let_2 A)) (not (tptp.m1_subset_1 _let_2 (tptp.k1_zfmisc_1 _let_1))) (forall ((C $$unsorted)) (or (not (tptp.m1_subset_1 C (tptp.u1_struct_0 (tptp.k1_latsum_1 A B)))) (not (tptp.r2_hidden C (tptp.u1_struct_0 B))) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k1_latsum_1 A B))) (or (not (tptp.m1_subset_1 D (tptp.u1_struct_0 _let_1))) (not (tptp.r1_orders_2 _let_1 C D)) (tptp.r2_hidden D (tptp.u1_struct_0 B))))))))))))))) (let ((_let_360 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_361 (_let_357))) (let ((_let_362 (_let_355))) (let ((_let_363 (or _let_221 _let_352))) (let ((_let_364 (forall ((C $$unsorted)) (or (not (tptp.r2_hidden C (tptp.u1_struct_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (tptp.m1_subset_1 C (tptp.u1_struct_0 (tptp.k1_latsum_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))))))) (let ((_let_365 (or _let_64 _let_63 _let_61 _let_59 _let_57 _let_55 _let_364))) (let ((_let_366 (forall ((B $$unsorted)) (or (tptp.v3_struct_0 B) (not (tptp.v2_orders_2 B)) (not (tptp.v3_orders_2 B)) (not (tptp.v4_orders_2 B)) (not (tptp.v1_lattice3 B)) (not (tptp.l1_orders_2 B)) (forall ((C $$unsorted)) (or (not (tptp.r2_hidden C (tptp.u1_struct_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (tptp.m1_subset_1 C (tptp.u1_struct_0 (tptp.k1_latsum_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 B))))))))) (let ((_let_367 (or _let_79 _let_78 _let_76 _let_74 _let_72 _let_70 _let_366))) (let ((_let_368 (forall ((A $$unsorted)) (or (tptp.v3_struct_0 A) (not (tptp.v2_orders_2 A)) (not (tptp.v3_orders_2 A)) (not (tptp.v4_orders_2 A)) (not (tptp.v1_lattice3 A)) (not (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (or (tptp.v3_struct_0 B) (not (tptp.v2_orders_2 B)) (not (tptp.v3_orders_2 B)) (not (tptp.v4_orders_2 B)) (not (tptp.v1_lattice3 B)) (not (tptp.l1_orders_2 B)) (forall ((C $$unsorted)) (or (not (tptp.r2_hidden C (tptp.u1_struct_0 A))) (tptp.m1_subset_1 C (tptp.u1_struct_0 (tptp.k1_latsum_1 A B))))))))))) (let ((_let_369 (EQ_RESOLVE (ASSUME :args (_let_9)) (MACRO_SR_EQ_INTRO :args (_let_9 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_370 (_let_366))) (let ((_let_371 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_365)) :args ((or _let_64 _let_63 _let_61 _let_59 _let_57 _let_55 _let_364 (not _let_365)))) _let_143 _let_167 _let_166 _let_165 _let_164 _let_142 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_370) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.v3_struct_0 B) true))))) :args _let_370)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_367)) :args ((or _let_79 _let_78 _let_76 _let_74 _let_72 _let_70 _let_366 (not _let_367)))) _let_145 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_80 1)) (CONG _let_113 (MACRO_SR_PRED_INTRO :args ((= (not _let_78) _let_77))) :args _let_85)) :args ((or _let_77 _let_80))) _let_87 :args (_let_77 true _let_80)) _let_250 _let_116 _let_115 _let_114 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_369 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.v3_struct_0 A) true))))) :args (_let_368))) _let_369 :args (_let_367 false _let_368)) :args (_let_366 true _let_79 false _let_77 false _let_75 false _let_73 false _let_71 false _let_69 false _let_367)) :args (_let_365 false _let_366)) :args (_let_364 true _let_64 false _let_62 false _let_60 false _let_58 false _let_56 false _let_54 false _let_365)))) (let ((_let_372 (_let_364))) (let ((_let_373 ((not (= (tptp.r2_hidden C _let_26) false))))) (let ((_let_374 (ASSUME :args _let_372))) (let ((_let_375 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_363)) :args ((or _let_221 _let_352 (not _let_363)))) _let_219 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_374 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_373)) :args _let_372)) _let_371 :args (_let_363 false _let_364)) :args (_let_352 false _let_212 false _let_363)))) (let ((_let_376 (_let_351))) (let ((_let_377 (= _let_297 _let_345))) (let ((_let_378 (or _let_105 _let_349 _let_377))) (let ((_let_379 (forall ((D $$unsorted)) (let ((_let_1 (tptp.k1_latsum_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))) (or (not (tptp.m1_subset_1 D (tptp.u1_struct_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (not (tptp.m1_subset_1 D (tptp.u1_struct_0 _let_1))) (= (tptp.r1_orders_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 D) (tptp.r1_orders_2 _let_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 D))))))) (let ((_let_380 (or _let_36 _let_353 _let_379))) (let ((_let_381 (forall ((C $$unsorted)) (or (not (tptp.m1_subset_1 C (tptp.u1_struct_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (not (tptp.m1_subset_1 C (tptp.u1_struct_0 (tptp.k1_latsum_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8)))) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k1_latsum_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))) (or (not (tptp.m1_subset_1 D (tptp.u1_struct_0 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_let_237) _let_94 (not _let_238)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_267)) :args ((or _let_240 _let_266 _let_264 _let_237 (not _let_267)))) _let_258 _let_289 _let_288 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_287 :args (_let_17 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_286)) :args _let_285)) _let_284 :args (_let_267 false _let_268)) :args (_let_237 false _let_239 false _let_265 false _let_263 false _let_267)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_241)) :args ((or _let_240 _let_99 _let_238 (not _let_241)))) _let_258 _let_232 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_262 :args (_let_17 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_261)) :args _let_260))) _let_259 :args (_let_241 false _let_242)) :args (_let_238 false _let_239 false _let_98 false _let_241)) :args (_let_94 false _let_237 false _let_238)) :args (_let_96 false _let_95 false _let_94)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_100)) :args ((or _let_99 _let_97 (not _let_100)))) _let_232 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_236 :args (_let_17 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_235)) :args _let_234))) _let_233 :args (_let_100 false _let_101)) :args (_let_97 false _let_98 false _let_100)) :args (_let_21 false _let_96 false _let_97)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_29 2)) _let_93 :args (_let_30 true _let_29)) :args (false false _let_22 false _let_21 true _let_19)) :args (_let_16 (forall ((A $$unsorted)) (=> (tptp.l1_orders_2 A) (=> (tptp.v1_orders_2 A) (= A (tptp.g1_orders_2 (tptp.u1_struct_0 A) (tptp.u1_orders_2 A)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.r2_hidden A B) (not (tptp.r2_hidden B A)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.k2_zfmisc_1 A B))) (tptp.v1_relat_1 C))) _let_15 _let_14 _let_13 (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.g1_orders_2 A B))) (=> (tptp.m1_relset_1 B A A) (and (tptp.v1_orders_2 _let_1) (tptp.l1_orders_2 _let_1))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (tptp.l1_orders_2 A) (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (tptp.m1_subset_1 (tptp.k10_lattice3 A B C) _let_1)))) _let_12 (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k1_latsum_1 A B))) (=> (and (tptp.l1_orders_2 A) (tptp.l1_orders_2 B)) (and (tptp.v1_orders_2 _let_1) (tptp.l1_orders_2 _let_1))))) true true true true _let_11 true true true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.m2_relset_1 C A B) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.k2_zfmisc_1 A B))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.l1_orders_2 A) (tptp.m2_relset_1 (tptp.u1_orders_2 A) _let_1 _let_1)))) true (exists ((A $$unsorted)) (tptp.l1_orders_2 A)) (exists ((A $$unsorted)) (tptp.l1_struct_0 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 $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k1_latsum_1 A B))) (=> (and (tptp.l1_orders_2 A) (not (tptp.v3_struct_0 B)) (tptp.l1_orders_2 B)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v1_orders_2 _let_1))))) _let_10 (tptp.v1_xboole_0 tptp.k1_xboole_0) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k1_latsum_1 A B))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A) (tptp.l1_orders_2 B)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v1_orders_2 _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_relset_1 B A A) (forall ((C $$unsorted) (D $$unsorted)) (=> (= (tptp.g1_orders_2 A B) (tptp.g1_orders_2 C D)) (and (= A C) (= B D)))))) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.k3_xboole_0 A A) A)) (exists ((A $$unsorted)) (tptp.v1_xboole_0 A)) (exists ((A $$unsorted)) (not (tptp.v1_xboole_0 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 $$unsorted)) (and (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (not (tptp.v1_xboole_0 B)))))) (forall ((A $$unsorted)) (=> (tptp.l1_orders_2 A) (exists ((B $$unsorted)) (and (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (tptp.v12_waybel_0 B A) (tptp.v13_waybel_0 B A))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (exists ((B $$unsorted)) (and (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (not (tptp.v1_xboole_0 B)) (tptp.v12_waybel_0 B A) (tptp.v13_waybel_0 B A))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.l1_orders_2 A)) (exists ((B $$unsorted)) (and (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (not (tptp.v1_xboole_0 B)) (tptp.v1_waybel_0 B A) (tptp.v12_waybel_0 B A))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.l1_orders_2 A) (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (= (tptp.k13_lattice3 A B C) (tptp.k10_lattice3 A B C))))) (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.v2_orders_2 A) (tptp.l1_orders_2 A) (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (= (tptp.r3_orders_2 A B C) (tptp.r1_orders_2 A B C))))) (forall ((A $$unsorted) (B $$unsorted)) (tptp.r1_tarski A A)) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.l1_orders_2 A) (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (tptp.r3_orders_2 A B B)))) _let_9 _let_8 _let_7 _let_6 _let_5 _let_4 _let_3 (forall ((A $$unsorted)) (= (tptp.k3_xboole_0 A tptp.k1_xboole_0) tptp.k1_xboole_0)) _let_2 (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)))) (forall ((A $$unsorted)) (=> (tptp.v1_xboole_0 A) (= A tptp.k1_xboole_0))) (forall ((A $$unsorted) (B $$unsorted)) (not (and (tptp.r2_hidden A B) (tptp.v1_xboole_0 B)))) (forall ((A $$unsorted) (B $$unsorted)) (not (and (tptp.v1_xboole_0 A) (not (= A B)) (tptp.v1_xboole_0 B)))) _let_1 (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.l1_orders_2 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)) (=> (and (tptp.r3_orders_2 A B D) (tptp.r3_orders_2 A C D)) (tptp.r3_orders_2 A (tptp.k13_lattice3 A B C) D)))))))))) true))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 47.86/48.04 )
% 47.86/48.04 % SZS output end Proof for SEU410+1
% 47.86/48.04 % cvc5---1.0.5 exiting
% 47.86/48.04 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------