%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : LAT353+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n021.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 06:04:19 EDT 2023

% Result   : Theorem 14.31s 14.51s
% Output   : Proof 14.31s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14  % Problem    : LAT353+1 : TPTP v8.1.2. Released v3.4.0.
% 0.00/0.16  % Command    : do_cvc5 %s %d
% 0.16/0.37  % Computer : n021.cluster.edu
% 0.16/0.37  % Model    : x86_64 x86_64
% 0.16/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37  % Memory   : 8042.1875MB
% 0.16/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37  % CPULimit   : 300
% 0.16/0.37  % WCLimit    : 300
% 0.16/0.37  % DateTime   : Thu Aug 24 05:48:10 EDT 2023
% 0.16/0.37  % CPUTime    : 
% 0.22/0.52  %----Proving TF0_NAR, FOF, or CNF
% 14.31/14.51  ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.KgmSoo3rNg/cvc5---1.0.5_20199.p...
% 14.31/14.51  ------- get file name : TPTP file name is LAT353+1
% 14.31/14.51  ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_20199.smt2...
% 14.31/14.51  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 14.31/14.51  --- Run --no-e-matching --full-saturate-quant at 5...
% 14.31/14.51  % SZS status Theorem for LAT353+1
% 14.31/14.51  % SZS output start Proof for LAT353+1
% 14.31/14.51  (
% 14.31/14.51  (let ((_let_1 (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.l1_orders_2 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.m2_relset_1 C _let_2 _let_1)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.u1_struct_0 B))) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D _let_2 _let_1) (tptp.m2_relset_1 D _let_2 _let_1)) (= (tptp.v3_waybel_1 (tptp.k1_waybel_1 A B C D) A B) (and (tptp.v5_orders_3 D B A) (forall ((E $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 E _let_1) (tptp.r4_waybel_1 B (tptp.k7_yellow_2 _let_1 B C E) (tptp.k5_pre_topc B A D (tptp.k6_waybel_0 A E)))))))))))))))))))))) (let ((_let_2 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.m2_relset_1 C A B) (tptp.m1_relset_1 C A B))))) (let ((_let_3 (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_struct_0 A)) (not (tptp.v1_xboole_0 (tptp.u1_struct_0 A))))))) (let ((_let_4 (forall ((A $$unsorted)) (=> (tptp.l1_orders_2 A) (tptp.l1_struct_0 A))))) (let ((_let_5 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (=> (and (not (tptp.v1_xboole_0 A)) (not (tptp.v3_struct_0 B)) (tptp.l1_struct_0 B) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C A _let_1) (tptp.m1_relset_1 C A _let_1) (tptp.m1_subset_1 D A)) (tptp.m1_subset_1 (tptp.k7_yellow_2 A B C D) _let_1)))))) (let ((_let_6 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (let ((_let_3 (tptp.k2_waybel34 A B C))) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 A) (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.v1_lattice3 B) (tptp.v2_lattice3 B) (tptp.l1_orders_2 B) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_1 _let_2) (tptp.m1_relset_1 C _let_1 _let_2)) (and (tptp.v1_funct_1 _let_3) (tptp.v1_funct_2 _let_3 _let_2 _let_1) (tptp.m2_relset_1 _let_3 _let_2 _let_1))))))))) (let ((_let_7 (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k1_yellow_0 A C))) (= (tptp.r4_waybel_1 A B C) (and (tptp.r1_yellow_0 A C) (= B _let_1) (tptp.r2_hidden _let_1 C))))))))))) (let ((_let_8 (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.v1_lattice3 B) (tptp.v2_lattice3 B) (tptp.l1_orders_2 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.u1_struct_0 B))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.m2_relset_1 C _let_2 _let_1)) (=> (and (tptp.v3_lattice3 A) (tptp.v3_lattice3 B) (tptp.v18_waybel_0 C B A)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D _let_2 _let_1) (tptp.m2_relset_1 D _let_2 _let_1)) (= (= D (tptp.k2_waybel34 A B C)) (tptp.v3_waybel_1 (tptp.k1_waybel_1 A B D C) A B))))))))))))))))) (let ((_let_9 (forall ((A $$unsorted)) (=> (tptp.l1_orders_2 A) (=> (tptp.v1_lattice3 A) (not (tptp.v3_struct_0 A))))))) (let ((_let_10 (not (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.v1_lattice3 B) (tptp.v2_lattice3 B) (tptp.v3_lattice3 B) (tptp.l1_orders_2 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.u1_struct_0 B))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.v18_waybel_0 C B A) (tptp.m2_relset_1 C _let_2 _let_1)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 D _let_1) (= (tptp.k7_yellow_2 _let_1 B (tptp.k2_waybel34 A B C) D) (tptp.k1_yellow_0 B (tptp.k5_pre_topc B A C (tptp.k6_waybel_0 A D)))))))))))))))))) (let ((_let_11 (tptp.l1_orders_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_12 (tptp.v3_struct_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_13 (tptp.u1_struct_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_14 (tptp.k2_waybel34 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_15 (tptp.u1_struct_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_16 (tptp.k7_yellow_2 _let_15 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 _let_14 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_17 (tptp.m1_subset_1 _let_16 _let_13))) (let ((_let_18 (tptp.k5_pre_topc SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 (tptp.k6_waybel_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4)))) (let ((_let_19 (tptp.k1_yellow_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 _let_18))) (let ((_let_20 (= _let_16 _let_19))) (let ((_let_21 (and (tptp.r1_yellow_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 _let_18) _let_20 (tptp.r2_hidden _let_19 _let_18)))) (let ((_let_22 (tptp.r4_waybel_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 _let_16 _let_18))) (let ((_let_23 (= _let_22 _let_21))) (let ((_let_24 (not _let_17))) (let ((_let_25 (not _let_11))) (let ((_let_26 (or _let_12 _let_25 _let_24 _let_23))) (let ((_let_27 (tptp.m1_subset_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_15))) (let ((_let_28 (not _let_27))) (let ((_let_29 (tptp.m2_relset_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_13 _let_15))) (let ((_let_30 (not _let_29))) (let ((_let_31 (tptp.v18_waybel_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_32 (not _let_31))) (let ((_let_33 (tptp.v1_funct_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_13 _let_15))) (let ((_let_34 (not _let_33))) (let ((_let_35 (tptp.v1_funct_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_36 (not _let_35))) (let ((_let_37 (tptp.v3_lattice3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_38 (not _let_37))) (let ((_let_39 (tptp.v2_lattice3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_40 (not _let_39))) (let ((_let_41 (tptp.v1_lattice3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_42 (not _let_41))) (let ((_let_43 (tptp.v4_orders_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_44 (not _let_43))) (let ((_let_45 (tptp.v3_orders_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_46 (not _let_45))) (let ((_let_47 (tptp.v2_orders_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_48 (not _let_47))) (let ((_let_49 (tptp.l1_orders_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_50 (not _let_49))) (let ((_let_51 (tptp.v3_lattice3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_52 (not _let_51))) (let ((_let_53 (tptp.v2_lattice3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_54 (not _let_53))) (let ((_let_55 (tptp.v1_lattice3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_56 (not _let_55))) (let ((_let_57 (tptp.v4_orders_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_58 (not _let_57))) (let ((_let_59 (tptp.v3_orders_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_60 (not _let_59))) (let ((_let_61 (tptp.v2_orders_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_62 (not _let_61))) (let ((_let_63 (or _let_62 _let_60 _let_58 _let_56 _let_54 _let_52 _let_50 _let_48 _let_46 _let_44 _let_42 _let_40 _let_38 _let_25 _let_36 _let_34 _let_32 _let_30 _let_28 _let_20))) (let ((_let_64 (forall ((A $$unsorted) (BOUND_VARIABLE_2470 $$unsorted) (BOUND_VARIABLE_2468 $$unsorted) (BOUND_VARIABLE_2466 $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.u1_struct_0 BOUND_VARIABLE_2466))) (or (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.v2_lattice3 A)) (not (tptp.v3_lattice3 A)) (not (tptp.l1_orders_2 A)) (not (tptp.v2_orders_2 BOUND_VARIABLE_2466)) (not (tptp.v3_orders_2 BOUND_VARIABLE_2466)) (not (tptp.v4_orders_2 BOUND_VARIABLE_2466)) (not (tptp.v1_lattice3 BOUND_VARIABLE_2466)) (not (tptp.v2_lattice3 BOUND_VARIABLE_2466)) (not (tptp.v3_lattice3 BOUND_VARIABLE_2466)) (not (tptp.l1_orders_2 BOUND_VARIABLE_2466)) (not (tptp.v1_funct_1 BOUND_VARIABLE_2470)) (not (tptp.v1_funct_2 BOUND_VARIABLE_2470 _let_2 _let_1)) (not (tptp.v18_waybel_0 BOUND_VARIABLE_2470 BOUND_VARIABLE_2466 A)) (not (tptp.m2_relset_1 BOUND_VARIABLE_2470 _let_2 _let_1)) (not (tptp.m1_subset_1 BOUND_VARIABLE_2468 _let_1)) (= (tptp.k7_yellow_2 _let_1 BOUND_VARIABLE_2466 (tptp.k2_waybel34 A BOUND_VARIABLE_2466 BOUND_VARIABLE_2470) BOUND_VARIABLE_2468) (tptp.k1_yellow_0 BOUND_VARIABLE_2466 (tptp.k5_pre_topc BOUND_VARIABLE_2466 A BOUND_VARIABLE_2470 (tptp.k6_waybel_0 A BOUND_VARIABLE_2468)))))))))) (let ((_let_65 (not _let_63))) (let ((_let_66 (EQ_RESOLVE (ASSUME :args (_let_10)) (MACRO_SR_EQ_INTRO :args (_let_10 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_67 (or))) (let ((_let_68 (not _let_64))) (let ((_let_69 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_66) :args (_let_68))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_68) _let_64))) (REFL :args (_let_65)) :args _let_67)) _let_66 :args (_let_65 true _let_64)))) (let ((_let_70 (REFL :args (_let_63)))) (let ((_let_71 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_63 13)) (CONG _let_70 (MACRO_SR_PRED_INTRO :args ((= (not _let_25) _let_11))) :args _let_67)) :args ((or _let_11 _let_63))) _let_69 :args (_let_11 true _let_63)))) (let ((_let_72 (not _let_12))) (let ((_let_73 (or _let_25 _let_42 _let_72))) (let ((_let_74 (forall ((A $$unsorted)) (or (not (tptp.l1_orders_2 A)) (not (tptp.v1_lattice3 A)) (not (tptp.v3_struct_0 A)))))) (let ((_let_75 (EQ_RESOLVE (ASSUME :args (_let_9)) (MACRO_SR_EQ_INTRO :args (_let_9 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_76 (_let_74))) (let ((_let_77 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_ENUM))) (let ((_let_78 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_63 10)) (CONG _let_70 (MACRO_SR_PRED_INTRO :args ((= (not _let_42) _let_41))) :args _let_67)) :args ((or _let_41 _let_63))) _let_69 :args (_let_41 true _let_63)))) (let ((_let_79 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_73)) :args ((or _let_42 _let_25 _let_72 (not _let_73)))) _let_78 _let_71 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_75 :args _let_77) :args _let_76)) _let_75 :args (_let_73 false _let_74)) :args (_let_72 false _let_41 false _let_11 false _let_73)))) (let ((_let_80 (tptp.m1_relset_1 _let_14 _let_15 _let_13))) (let ((_let_81 (not _let_80))) (let ((_let_82 (tptp.v1_funct_2 _let_14 _let_15 _let_13))) (let ((_let_83 (not _let_82))) (let ((_let_84 (tptp.v1_funct_1 _let_14))) (let ((_let_85 (not _let_84))) (let ((_let_86 (tptp.l1_struct_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_87 (not _let_86))) (let ((_let_88 (tptp.v1_xboole_0 _let_15))) (let ((_let_89 (or _let_88 _let_12 _let_87 _let_85 _let_83 _let_81 _let_28 _let_17))) (let ((_let_90 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (or (tptp.v1_xboole_0 A) (tptp.v3_struct_0 B) (not (tptp.l1_struct_0 B)) (not (tptp.v1_funct_1 C)) (not (tptp.v1_funct_2 C A _let_1)) (not (tptp.m1_relset_1 C A _let_1)) (not (tptp.m1_subset_1 D A)) (tptp.m1_subset_1 (tptp.k7_yellow_2 A B C D) _let_1)))))) (let ((_let_91 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_92 (tptp.m2_relset_1 _let_14 _let_15 _let_13))) (let ((_let_93 (= _let_92 _let_80))) (let ((_let_94 (_let_2))) (let ((_let_95 (ASSUME :args _let_94))) (let ((_let_96 (and _let_84 _let_82 _let_92))) (let ((_let_97 (tptp.m1_relset_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_13 _let_15))) (let ((_let_98 (not _let_97))) (let ((_let_99 (or _let_62 _let_60 _let_58 _let_56 _let_54 _let_50 _let_48 _let_46 _let_44 _let_42 _let_40 _let_25 _let_36 _let_34 _let_98 _let_96))) (let ((_let_100 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (let ((_let_3 (tptp.k2_waybel34 A B C))) (or (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.v2_lattice3 A)) (not (tptp.l1_orders_2 A)) (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.v2_lattice3 B)) (not (tptp.l1_orders_2 B)) (not (tptp.v1_funct_1 C)) (not (tptp.v1_funct_2 C _let_1 _let_2)) (not (tptp.m1_relset_1 C _let_1 _let_2)) (and (tptp.v1_funct_1 _let_3) (tptp.v1_funct_2 _let_3 _let_2 _let_1) (tptp.m2_relset_1 _let_3 _let_2 _let_1))))))))) (let ((_let_101 (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_102 (= _let_29 _let_97))) (let ((_let_103 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_63 17)) (CONG _let_70 (MACRO_SR_PRED_INTRO :args ((= (not _let_30) _let_29))) :args _let_67)) :args ((or _let_29 _let_63))) _let_69 :args (_let_29 true _let_63)))) (let ((_let_104 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_63 15)) (CONG _let_70 (MACRO_SR_PRED_INTRO :args ((= (not _let_34) _let_33))) :args _let_67)) :args ((or _let_33 _let_63))) _let_69 :args (_let_33 true _let_63)))) (let ((_let_105 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_63 14)) (CONG _let_70 (MACRO_SR_PRED_INTRO :args ((= (not _let_36) _let_35))) :args _let_67)) :args ((or _let_35 _let_63))) _let_69 :args (_let_35 true _let_63)))) (let ((_let_106 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_63 11)) (CONG _let_70 (MACRO_SR_PRED_INTRO :args ((= (not _let_40) _let_39))) :args _let_67)) :args ((or _let_39 _let_63))) _let_69 :args (_let_39 true _let_63)))) (let ((_let_107 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_63 9)) (CONG _let_70 (MACRO_SR_PRED_INTRO :args ((= (not _let_44) _let_43))) :args _let_67)) :args ((or _let_43 _let_63))) _let_69 :args (_let_43 true _let_63)))) (let ((_let_108 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_63 8)) (CONG _let_70 (MACRO_SR_PRED_INTRO :args ((= (not _let_46) _let_45))) :args _let_67)) :args ((or _let_45 _let_63))) _let_69 :args (_let_45 true _let_63)))) (let ((_let_109 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_63 7)) (CONG _let_70 (MACRO_SR_PRED_INTRO :args ((= (not _let_48) _let_47))) :args _let_67)) :args ((or _let_47 _let_63))) _let_69 :args (_let_47 true _let_63)))) (let ((_let_110 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_63 6)) (CONG _let_70 (MACRO_SR_PRED_INTRO :args ((= (not _let_50) _let_49))) :args _let_67)) :args ((or _let_49 _let_63))) _let_69 :args (_let_49 true _let_63)))) (let ((_let_111 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_63 4)) (CONG _let_70 (MACRO_SR_PRED_INTRO :args ((= (not _let_54) _let_53))) :args _let_67)) :args ((or _let_53 _let_63))) _let_69 :args (_let_53 true _let_63)))) (let ((_let_112 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_63 3)) (CONG _let_70 (MACRO_SR_PRED_INTRO :args ((= (not _let_56) _let_55))) :args _let_67)) :args ((or _let_55 _let_63))) _let_69 :args (_let_55 true _let_63)))) (let ((_let_113 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_63 2)) (CONG _let_70 (MACRO_SR_PRED_INTRO :args ((= (not _let_58) _let_57))) :args _let_67)) :args ((or _let_57 _let_63))) _let_69 :args (_let_57 true _let_63)))) (let ((_let_114 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_63 1)) (CONG _let_70 (MACRO_SR_PRED_INTRO :args ((= (not _let_60) _let_59))) :args _let_67)) :args ((or _let_59 _let_63))) _let_69 :args (_let_59 true _let_63)))) (let ((_let_115 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_63 0)) (CONG _let_70 (MACRO_SR_PRED_INTRO :args ((= (not _let_62) _let_61))) :args _let_67)) :args ((or _let_61 _let_63))) _let_69 :args (_let_61 true _let_63)))) (let ((_let_116 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_99)) :args ((or _let_62 _let_60 _let_58 _let_56 _let_54 _let_50 _let_48 _let_46 _let_44 _let_42 _let_40 _let_25 _let_36 _let_34 _let_98 _let_96 (not _let_99)))) _let_115 _let_114 _let_113 _let_112 _let_111 _let_110 _let_109 _let_108 _let_107 _let_78 _let_106 _let_71 _let_105 _let_104 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_102)) :args ((or _let_30 _let_97 (not _let_102)))) _let_103 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_95 :args (_let_13 _let_15 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_94)) _let_95 :args (_let_102 false _let_2)) :args (_let_97 false _let_29 false _let_102)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_101 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_ENUM)) :args (_let_100))) _let_101 :args (_let_99 false _let_100)) :args (_let_96 false _let_61 false _let_59 false _let_57 false _let_55 false _let_53 false _let_49 false _let_47 false _let_45 false _let_43 false _let_41 false _let_39 false _let_11 false _let_35 false _let_33 false _let_97 false _let_99)))) (let ((_let_117 (not _let_96))) (let ((_let_118 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_96 2)) :args ((or _let_92 _let_117))) _let_116 :args (_let_92 false _let_96)))) (let ((_let_119 (not _let_92))) (let ((_let_120 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_96 1)) :args ((or _let_82 _let_117))) _let_116 :args (_let_82 false _let_96)))) (let ((_let_121 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_96 0)) :args ((or _let_84 _let_117))) _let_116 :args (_let_84 false _let_96)))) (let ((_let_122 (or _let_25 _let_86))) (let ((_let_123 (forall ((A $$unsorted)) (or (not (tptp.l1_orders_2 A)) (tptp.l1_struct_0 A))))) (let ((_let_124 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_125 (_let_123))) (let ((_let_126 (not _let_88))) (let ((_let_127 (tptp.l1_struct_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_128 (not _let_127))) (let ((_let_129 (tptp.v3_struct_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_130 (or _let_129 _let_128 _let_126))) (let ((_let_131 (forall ((A $$unsorted)) (or (tptp.v3_struct_0 A) (not (tptp.l1_struct_0 A)) (not (tptp.v1_xboole_0 (tptp.u1_struct_0 A))))))) (let ((_let_132 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_133 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_ENUM))) (let ((_let_134 (or _let_50 _let_127))) (let ((_let_135 (not _let_129))) (let ((_let_136 (or _let_50 _let_56 _let_135))) (let ((_let_137 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_136)) :args ((or _let_56 _let_50 _let_135 (not _let_136)))) _let_112 _let_110 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_75 :args _let_133) :args _let_76)) _let_75 :args (_let_136 false _let_74)) :args (_let_135 false _let_55 false _let_49 false _let_136)))) (let ((_let_138 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_63 18)) (CONG _let_70 (MACRO_SR_PRED_INTRO :args ((= (not _let_28) _let_27))) :args _let_67)) :args ((or _let_27 _let_63))) _let_69 :args (_let_27 true _let_63)))) (let ((_let_139 (forall ((A $$unsorted) (BOUND_VARIABLE_3357 $$unsorted) (BOUND_VARIABLE_3355 $$unsorted)) (let ((_let_1 (tptp.k1_yellow_0 A BOUND_VARIABLE_3357))) (or (tptp.v3_struct_0 A) (not (tptp.l1_orders_2 A)) (not (tptp.m1_subset_1 BOUND_VARIABLE_3355 (tptp.u1_struct_0 A))) (= (tptp.r4_waybel_1 A BOUND_VARIABLE_3355 BOUND_VARIABLE_3357) (and (tptp.r1_yellow_0 A BOUND_VARIABLE_3357) (= BOUND_VARIABLE_3355 _let_1) (tptp.r2_hidden _let_1 BOUND_VARIABLE_3357)))))))) (let ((_let_140 (EQ_RESOLVE (ASSUME :args (_let_7)) (MACRO_SR_EQ_INTRO :args (_let_7 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_141 (not _let_23))) (let ((_let_142 (not _let_21))) (let ((_let_143 (or _let_28 _let_22))) (let ((_let_144 (forall ((E $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (or (not (tptp.m1_subset_1 E _let_1)) (tptp.r4_waybel_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 (tptp.k7_yellow_2 _let_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 (tptp.k2_waybel34 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3) E) (tptp.k5_pre_topc SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 (tptp.k6_waybel_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 E)))))))) (let ((_let_145 (and (tptp.v5_orders_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2) _let_144))) (let ((_let_146 (tptp.v3_waybel_1 (tptp.k1_waybel_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 _let_14 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_147 (= _let_146 _let_145))) (let ((_let_148 (or _let_129 _let_62 _let_60 _let_58 _let_50 _let_12 _let_48 _let_46 _let_44 _let_25 _let_85 _let_83 _let_119 _let_36 _let_34 _let_30 _let_147))) (let ((_let_149 (forall ((A $$unsorted) (BOUND_VARIABLE_4110 $$unsorted) (BOUND_VARIABLE_4108 $$unsorted) (BOUND_VARIABLE_4106 $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.u1_struct_0 BOUND_VARIABLE_4106))) (or (tptp.v3_struct_0 A) (not (tptp.v2_orders_2 A)) (not (tptp.v3_orders_2 A)) (not (tptp.v4_orders_2 A)) (not (tptp.l1_orders_2 A)) (tptp.v3_struct_0 BOUND_VARIABLE_4106) (not (tptp.v2_orders_2 BOUND_VARIABLE_4106)) (not (tptp.v3_orders_2 BOUND_VARIABLE_4106)) (not (tptp.v4_orders_2 BOUND_VARIABLE_4106)) (not (tptp.l1_orders_2 BOUND_VARIABLE_4106)) (not (tptp.v1_funct_1 BOUND_VARIABLE_4110)) (not (tptp.v1_funct_2 BOUND_VARIABLE_4110 _let_1 _let_2)) (not (tptp.m2_relset_1 BOUND_VARIABLE_4110 _let_1 _let_2)) (not (tptp.v1_funct_1 BOUND_VARIABLE_4108)) (not (tptp.v1_funct_2 BOUND_VARIABLE_4108 _let_2 _let_1)) (not (tptp.m2_relset_1 BOUND_VARIABLE_4108 _let_2 _let_1)) (= (tptp.v3_waybel_1 (tptp.k1_waybel_1 A BOUND_VARIABLE_4106 BOUND_VARIABLE_4110 BOUND_VARIABLE_4108) A BOUND_VARIABLE_4106) (and (tptp.v5_orders_3 BOUND_VARIABLE_4108 BOUND_VARIABLE_4106 A) (forall ((E $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (or (not (tptp.m1_subset_1 E _let_1)) (tptp.r4_waybel_1 BOUND_VARIABLE_4106 (tptp.k7_yellow_2 _let_1 BOUND_VARIABLE_4106 BOUND_VARIABLE_4110 E) (tptp.k5_pre_topc BOUND_VARIABLE_4106 A BOUND_VARIABLE_4108 (tptp.k6_waybel_0 A E)))))))))))))) (let ((_let_150 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_151 (or _let_62 _let_60 _let_58 _let_56 _let_54 _let_50 _let_52 _let_48 _let_46 _let_44 _let_42 _let_40 _let_25 _let_38 _let_36 _let_34 _let_30 _let_32 _let_85 _let_83 _let_119 _let_146))) (let ((_let_152 (forall ((A $$unsorted) (BOUND_VARIABLE_3290 $$unsorted) (BOUND_VARIABLE_3288 $$unsorted) (BOUND_VARIABLE_3286 $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 BOUND_VARIABLE_3286))) (let ((_let_2 (tptp.u1_struct_0 A))) (or (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.v2_lattice3 A)) (not (tptp.l1_orders_2 A)) (not (tptp.v3_lattice3 A)) (not (tptp.v2_orders_2 BOUND_VARIABLE_3286)) (not (tptp.v3_orders_2 BOUND_VARIABLE_3286)) (not (tptp.v4_orders_2 BOUND_VARIABLE_3286)) (not (tptp.v1_lattice3 BOUND_VARIABLE_3286)) (not (tptp.v2_lattice3 BOUND_VARIABLE_3286)) (not (tptp.l1_orders_2 BOUND_VARIABLE_3286)) (not (tptp.v3_lattice3 BOUND_VARIABLE_3286)) (not (tptp.v1_funct_1 BOUND_VARIABLE_3290)) (not (tptp.v1_funct_2 BOUND_VARIABLE_3290 _let_1 _let_2)) (not (tptp.m2_relset_1 BOUND_VARIABLE_3290 _let_1 _let_2)) (not (tptp.v18_waybel_0 BOUND_VARIABLE_3290 BOUND_VARIABLE_3286 A)) (not (tptp.v1_funct_1 BOUND_VARIABLE_3288)) (not (tptp.v1_funct_2 BOUND_VARIABLE_3288 _let_2 _let_1)) (not (tptp.m2_relset_1 BOUND_VARIABLE_3288 _let_2 _let_1)) (= (tptp.v3_waybel_1 (tptp.k1_waybel_1 A BOUND_VARIABLE_3286 BOUND_VARIABLE_3288 BOUND_VARIABLE_3290) A BOUND_VARIABLE_3286) (= BOUND_VARIABLE_3288 (tptp.k2_waybel34 A BOUND_VARIABLE_3286 BOUND_VARIABLE_3290))))))))) (let ((_let_153 (EQ_RESOLVE (ASSUME :args (_let_8)) (MACRO_SR_EQ_INTRO :args (_let_8 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_154 (_let_144))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_26)) :args ((or _let_25 _let_12 _let_24 _let_23 (not _let_26)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_23)) :args ((or (not _let_22) _let_21 _let_141))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_143)) :args ((or _let_28 _let_22 (not _let_143)))) _let_138 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_154) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_ENUM)) :args _let_154)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_145 1)) :args ((or _let_144 (not _let_145)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_147)) :args ((or _let_145 (not _let_146) (not _let_147)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_151)) :args ((or _let_62 _let_60 _let_58 _let_56 _let_54 _let_52 _let_50 _let_48 _let_46 _let_44 _let_42 _let_40 _let_38 _let_25 _let_36 _let_34 _let_32 _let_30 _let_85 _let_83 _let_119 _let_146 (not _let_151)))) _let_115 _let_114 _let_113 _let_112 _let_111 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_63 5)) (CONG _let_70 (MACRO_SR_PRED_INTRO :args ((= (not _let_52) _let_51))) :args _let_67)) :args ((or _let_51 _let_63))) _let_69 :args (_let_51 true _let_63)) _let_110 _let_109 _let_108 _let_107 _let_78 _let_106 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_63 12)) (CONG _let_70 (MACRO_SR_PRED_INTRO :args ((= (not _let_38) _let_37))) :args _let_67)) :args ((or _let_37 _let_63))) _let_69 :args (_let_37 true _let_63)) _let_71 _let_105 _let_104 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_63 16)) (CONG _let_70 (MACRO_SR_PRED_INTRO :args ((= (not _let_32) _let_31))) :args _let_67)) :args ((or _let_31 _let_63))) _let_69 :args (_let_31 true _let_63)) _let_103 _let_121 _let_120 _let_118 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_153 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_14 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_ENUM)) :args (_let_152)))) _let_153 :args (_let_151 false _let_152)) :args (_let_146 false _let_61 false _let_59 false _let_57 false _let_55 false _let_53 false _let_51 false _let_49 false _let_47 false _let_45 false _let_43 false _let_41 false _let_39 false _let_37 false _let_11 false _let_35 false _let_33 false _let_31 false _let_29 false _let_84 false _let_82 false _let_92 false _let_151)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_148)) :args ((or _let_62 _let_60 _let_58 _let_50 _let_48 _let_46 _let_44 _let_25 _let_36 _let_34 _let_30 _let_129 _let_12 _let_85 _let_83 _let_119 _let_147 (not _let_148)))) _let_115 _let_114 _let_113 _let_110 _let_109 _let_108 _let_107 _let_71 _let_105 _let_104 _let_103 _let_137 _let_79 _let_121 _let_120 _let_118 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_150 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_14 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_ENUM)) :args (_let_149))) _let_150 :args (_let_148 false _let_149)) :args (_let_147 false _let_61 false _let_59 false _let_57 false _let_49 false _let_47 false _let_45 false _let_43 false _let_11 false _let_35 false _let_33 false _let_29 true _let_129 true _let_12 false _let_84 false _let_82 false _let_92 false _let_148)) :args (_let_145 false _let_146 false _let_147)) :args (_let_144 false _let_145)) :args (_let_143 false _let_144)) :args (_let_22 false _let_27 false _let_143)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_21 1)) :args ((or _let_20 _let_142))) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_63 19)) _let_69 :args ((not _let_20) true _let_63)) :args (_let_142 true _let_20)) :args (_let_141 false _let_22 true _let_21)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_140 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 _let_18 _let_16 QUANTIFIERS_INST_CBQI_CONFLICT)) :args (_let_139))) _let_140 :args (_let_26 false _let_139)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_89)) :args ((or _let_28 _let_88 _let_12 _let_87 _let_85 _let_83 _let_17 _let_81 (not _let_89)))) _let_138 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_130)) :args ((or _let_129 _let_128 _let_126 (not _let_130)))) _let_137 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_134)) :args ((or _let_50 _let_127 (not _let_134)))) _let_110 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_124 :args _let_133) :args _let_125)) _let_124 :args (_let_134 false _let_123)) :args (_let_127 false _let_49 false _let_134)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_132 :args _let_133) :args (_let_131))) _let_132 :args (_let_130 false _let_131)) :args (_let_126 true _let_129 false _let_127 false _let_130)) _let_79 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_122)) :args ((or _let_25 _let_86 (not _let_122)))) _let_71 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_124 :args _let_77) :args _let_125)) _let_124 :args (_let_122 false _let_123)) :args (_let_86 false _let_11 false _let_122)) _let_121 _let_120 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_93)) :args ((or _let_119 _let_80 (not _let_93)))) _let_118 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_95 :args (_let_15 _let_13 _let_14 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_94)) _let_95 :args (_let_93 false _let_2)) :args (_let_80 false _let_92 false _let_93)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_91 :args (_let_15 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 _let_14 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_CBQI_CONFLICT)) :args (_let_90))) _let_91 :args (_let_89 false _let_90)) :args (_let_17 false _let_27 true _let_88 true _let_12 false _let_86 false _let_84 false _let_82 false _let_80 false _let_89)) _let_79 _let_71 :args (false true _let_23 false _let_26 false _let_17 true _let_12 false _let_11)) :args (_let_10 (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.r2_hidden A B) (not (tptp.r2_hidden B A)))) (forall ((A $$unsorted)) (=> (tptp.v1_membered A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B A) (tptp.v1_xcmplx_0 B))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.v2_orders_2 A))) (let ((_let_2 (not (tptp.v3_struct_0 A)))) (=> (tptp.l1_orders_2 A) (=> (and _let_2 _let_1 (tptp.v3_lattice3 A)) (and _let_2 _let_1 (tptp.v24_waybel_0 A) (tptp.v25_waybel_0 A))))))) (forall ((A $$unsorted)) (=> (tptp.v2_membered A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B A) (and (tptp.v1_xcmplx_0 B) (tptp.v1_xreal_0 B)))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.v2_orders_2 A))) (let ((_let_2 (not (tptp.v3_struct_0 A)))) (=> (tptp.l1_orders_2 A) (=> (and _let_2 _let_1 (tptp.v25_waybel_0 A)) (and _let_2 _let_1 (tptp.v1_yellow_0 A))))))) (forall ((A $$unsorted)) (=> (tptp.v3_membered A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B A) (and (tptp.v1_xcmplx_0 B) (tptp.v1_xreal_0 B) (tptp.v1_rat_1 B)))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.v1_yellow_0 A))) (let ((_let_2 (tptp.v1_lattice3 A))) (let ((_let_3 (tptp.v4_orders_2 A))) (let ((_let_4 (tptp.v3_orders_2 A))) (let ((_let_5 (tptp.v2_orders_2 A))) (let ((_let_6 (not (tptp.v3_struct_0 A)))) (=> (tptp.l1_orders_2 A) (=> (and _let_6 _let_5 _let_4 _let_3 _let_2 _let_1 (tptp.v24_waybel_0 A)) (and _let_6 _let_5 _let_4 _let_3 _let_2 (tptp.v2_lattice3 A) (tptp.v3_lattice3 A) _let_1 (tptp.v2_yellow_0 A) (tptp.v3_yellow_0 A))))))))))) (forall ((A $$unsorted)) (=> (tptp.v4_membered A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B A) (and (tptp.v1_xcmplx_0 B) (tptp.v1_xreal_0 B) (tptp.v1_int_1 B) (tptp.v1_rat_1 B)))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.v4_orders_2 A))) (let ((_let_2 (tptp.v2_orders_2 A))) (let ((_let_3 (not (tptp.v3_struct_0 A)))) (=> (tptp.l1_orders_2 A) (=> (and _let_3 _let_2 _let_1 (tptp.v25_waybel_0 A)) (and _let_3 _let_2 _let_1 (tptp.v2_lattice3 A)))))))) (forall ((A $$unsorted)) (=> (tptp.v5_membered A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B A) (and (tptp.v1_xcmplx_0 B) (tptp.v4_ordinal2 B) (tptp.v1_xreal_0 B) (tptp.v1_int_1 B) (tptp.v1_rat_1 B)))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.v2_yellow_0 A))) (let ((_let_2 (tptp.v4_orders_2 A))) (let ((_let_3 (tptp.v2_orders_2 A))) (let ((_let_4 (not (tptp.v3_struct_0 A)))) (=> (tptp.l1_orders_2 A) (=> (and _let_4 _let_3 _let_2 _let_1 (tptp.v25_waybel_0 A)) (and _let_4 _let_3 _let_2 (tptp.v1_lattice3 A) _let_1)))))))) (forall ((A $$unsorted)) (=> (tptp.v1_xboole_0 A) (and (tptp.v1_membered A) (tptp.v2_membered A) (tptp.v3_membered A) (tptp.v4_membered A) (tptp.v5_membered A)))) (forall ((A $$unsorted)) (=> (tptp.v1_membered A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (tptp.v1_membered B))))) (forall ((A $$unsorted)) (=> (tptp.v2_membered A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (and (tptp.v1_membered B) (tptp.v2_membered B)))))) (forall ((A $$unsorted)) (=> (tptp.v3_membered A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (and (tptp.v1_membered B) (tptp.v2_membered B) (tptp.v3_membered B)))))) (forall ((A $$unsorted)) (=> (tptp.v4_membered A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (and (tptp.v1_membered B) (tptp.v2_membered B) (tptp.v3_membered B) (tptp.v4_membered B)))))) (forall ((A $$unsorted)) (=> (tptp.v1_xboole_0 A) (tptp.v1_finset_1 A))) (forall ((A $$unsorted)) (=> (tptp.v1_xboole_0 A) (tptp.v1_funct_1 A))) _let_9 (forall ((A $$unsorted)) (=> (tptp.v5_membered A) (tptp.v4_membered A))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.k2_zfmisc_1 A B))) (tptp.v1_relat_1 C))) (forall ((A $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v1_setfam_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B A) (not (tptp.v1_xboole_0 B)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v4_orders_2 A) (tptp.l1_orders_2 A) (not (tptp.v3_struct_0 B)) (tptp.v2_orders_2 B) (tptp.v4_orders_2 B) (tptp.l1_orders_2 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (let ((_let_3 (tptp.v1_funct_2 C _let_2 _let_1))) (let ((_let_4 (tptp.v1_funct_1 C))) (=> (tptp.m1_relset_1 C _let_2 _let_1) (=> (and _let_4 _let_3 (tptp.v22_waybel_0 C A B)) (and (not (tptp.v1_xboole_0 C)) _let_4 _let_3 (tptp.v5_orders_3 C A B) (tptp.v1_partfun1 C _let_2 _let_1))))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 A) (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.v2_lattice3 B) (tptp.l1_orders_2 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (let ((_let_3 (tptp.v1_funct_2 C _let_2 _let_1))) (let ((_let_4 (tptp.v1_funct_1 C))) (=> (tptp.m1_relset_1 C _let_2 _let_1) (=> (and _let_4 _let_3 (tptp.v19_waybel_0 C A B)) (and _let_4 _let_3 (tptp.v5_orders_3 C A B))))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.l1_orders_2 A) (not (tptp.v3_struct_0 B)) (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.l1_orders_2 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (let ((_let_3 (tptp.v1_funct_2 C _let_2 _let_1))) (let ((_let_4 (tptp.v1_funct_1 C))) (=> (tptp.m1_relset_1 C _let_2 _let_1) (=> (and _let_4 _let_3 (tptp.v4_waybel_1 C A B)) (and _let_4 (not (tptp.v1_xboole_0 C)) _let_3 (tptp.v1_partfun1 C _let_2 _let_1) (tptp.v17_waybel_0 C A B) (tptp.v19_waybel_0 C A B) (tptp.v21_waybel_0 C A B))))))))))) (forall ((A $$unsorted)) (let ((_let_1 (not (tptp.v3_struct_0 A)))) (=> (tptp.l1_orders_2 A) (=> (and _let_1 (tptp.v3_lattice3 A)) (and _let_1 (tptp.v1_lattice3 A) (tptp.v2_lattice3 A)))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.v25_waybel_0 A))) (let ((_let_2 (tptp.v24_waybel_0 A))) (let ((_let_3 (tptp.v2_yellow_0 A))) (let ((_let_4 (tptp.v4_orders_2 A))) (let ((_let_5 (tptp.v3_orders_2 A))) (let ((_let_6 (tptp.v2_orders_2 A))) (let ((_let_7 (not (tptp.v3_struct_0 A)))) (=> (tptp.l1_orders_2 A) (=> (and _let_7 _let_6 _let_5 _let_4 _let_3 _let_2 _let_1) (and _let_7 _let_6 _let_5 _let_4 (tptp.v1_yellow_0 A) _let_3 (tptp.v3_yellow_0 A) _let_2 _let_1 (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_lattice3 A)))))))))))) (forall ((A $$unsorted)) (=> (tptp.v5_membered A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (and (tptp.v1_membered B) (tptp.v2_membered B) (tptp.v3_membered B) (tptp.v4_membered B) (tptp.v5_membered B)))))) (forall ((A $$unsorted)) (=> (tptp.v1_finset_1 A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (tptp.v1_finset_1 B))))) (forall ((A $$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 $$unsorted)) (=> (tptp.l1_orders_2 A) (=> (tptp.v2_lattice3 A) (not (tptp.v3_struct_0 A))))) (forall ((A $$unsorted)) (=> (tptp.v4_membered A) (tptp.v3_membered A))) (forall ((A $$unsorted)) (=> (tptp.v3_membered A) (tptp.v2_membered A))) (forall ((A $$unsorted)) (let ((_let_1 (not (tptp.v3_struct_0 A)))) (=> (tptp.l1_orders_2 A) (=> (and _let_1 (tptp.v3_lattice3 A)) (and _let_1 (tptp.v3_yellow_0 A)))))) (forall ((A $$unsorted)) (=> (tptp.v2_membered A) (tptp.v1_membered A))) (forall ((A $$unsorted)) (=> (tptp.l1_orders_2 A) (=> (tptp.v3_yellow_0 A) (and (tptp.v1_yellow_0 A) (tptp.v2_yellow_0 A))))) (forall ((A $$unsorted)) (=> (tptp.l1_orders_2 A) (=> (and (tptp.v1_yellow_0 A) (tptp.v2_yellow_0 A)) (tptp.v3_yellow_0 A)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A) (not (tptp.v3_struct_0 B)) (tptp.l1_orders_2 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (let ((_let_3 (tptp.v1_funct_2 C _let_2 _let_1))) (let ((_let_4 (tptp.v1_funct_1 C))) (=> (tptp.m1_relset_1 C _let_2 _let_1) (=> (and _let_4 _let_3 (tptp.v17_waybel_0 C A B)) (and _let_4 _let_3 (tptp.v19_waybel_0 C A B) (tptp.v21_waybel_0 C A B))))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A) (not (tptp.v3_struct_0 B)) (tptp.l1_orders_2 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (let ((_let_3 (tptp.v1_funct_2 C _let_2 _let_1))) (let ((_let_4 (tptp.v1_funct_1 C))) (=> (tptp.m1_relset_1 C _let_2 _let_1) (=> (and _let_4 _let_3 (tptp.v18_waybel_0 C A B)) (and _let_4 _let_3 (tptp.v20_waybel_0 C A B) (tptp.v22_waybel_0 C A B))))))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.v1_lattice3 A))) (let ((_let_2 (tptp.v2_orders_2 A))) (=> (tptp.l1_orders_2 A) (=> (and _let_2 _let_1 (tptp.v24_waybel_0 A)) (and (not (tptp.v3_struct_0 A)) _let_2 _let_1 (tptp.v2_yellow_0 A))))))) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.k2_tarski A B) (tptp.k2_tarski B A))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (= (tptp.k6_waybel_0 A B) (tptp.k4_waybel_0 A (tptp.k1_struct_0 A B))))))) _let_8 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.k4_tarski A B) (tptp.k2_tarski (tptp.k2_tarski A B) (tptp.k1_tarski A)))) _let_7 true true (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_struct_0 A) (tptp.m1_subset_1 B _let_1)) (tptp.m1_subset_1 (tptp.k1_struct_0 A B) (tptp.k1_zfmisc_1 _let_1))))) true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.u1_struct_0 B))) (=> (and (tptp.l1_orders_2 A) (tptp.l1_orders_2 B) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_1 _let_2) (tptp.m1_relset_1 C _let_1 _let_2) (tptp.v1_funct_1 D) (tptp.v1_funct_2 D _let_2 _let_1) (tptp.m1_relset_1 D _let_2 _let_1)) (tptp.m1_waybel_1 (tptp.k1_waybel_1 A B C D) A B))))) true (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.l1_orders_2 A) (tptp.m1_subset_1 (tptp.k1_yellow_0 A B) (tptp.u1_struct_0 A)))) true true _let_6 true true (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (=> (and (tptp.l1_orders_2 A) (tptp.m1_subset_1 B _let_1)) (tptp.m1_subset_1 (tptp.k4_waybel_0 A B) _let_1)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.u1_struct_0 B))) (=> (and (tptp.l1_struct_0 A) (tptp.l1_struct_0 B) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_1 _let_2) (tptp.m1_relset_1 C _let_1 _let_2)) (tptp.m1_subset_1 (tptp.k5_pre_topc A B C D) (tptp.k1_zfmisc_1 _let_1)))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A) (tptp.m1_subset_1 B _let_1)) (tptp.m1_subset_1 (tptp.k6_waybel_0 A B) (tptp.k1_zfmisc_1 _let_1))))) _let_5 _let_4 true true true true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.m2_relset_1 C A B) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.k2_zfmisc_1 A B))))) true (exists ((A $$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)) (=> (and (tptp.l1_orders_2 A) (tptp.l1_orders_2 B)) (exists ((C $$unsorted)) (tptp.m1_waybel_1 C A B)))) (forall ((A $$unsorted) (B $$unsorted)) (exists ((C $$unsorted)) (tptp.m2_relset_1 C A B))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k1_tarski A))) (=> (tptp.v1_int_1 A) (and (tptp.v1_membered _let_1) (tptp.v2_membered _let_1) (tptp.v3_membered _let_1) (tptp.v4_membered _let_1))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k1_tarski A))) (=> (tptp.v4_ordinal2 A) (and (tptp.v1_membered _let_1) (tptp.v2_membered _let_1) (tptp.v3_membered _let_1) (tptp.v4_membered _let_1) (tptp.v5_membered _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_orders_2 A) (tptp.l1_orders_2 A) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (tptp.v12_waybel_0 (tptp.k4_waybel_0 A B) A))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_xcmplx_0 A) (tptp.v1_xcmplx_0 B)) (tptp.v1_membered (tptp.k2_tarski A B)))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k2_tarski A B))) (=> (and (tptp.v1_xreal_0 A) (tptp.v1_xreal_0 B)) (and (tptp.v1_membered _let_1) (tptp.v2_membered _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_orders_2 A) (tptp.l1_orders_2 A) (tptp.m1_subset_1 B (tptp.u1_struct_0 A))) (tptp.v12_waybel_0 (tptp.k6_waybel_0 A B) A))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_finset_1 A) (tptp.v1_finset_1 B)) (tptp.v1_finset_1 (tptp.k2_zfmisc_1 A B)))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k2_tarski A B))) (=> (and (tptp.v1_rat_1 A) (tptp.v1_rat_1 B)) (and (tptp.v1_membered _let_1) (tptp.v2_membered _let_1) (tptp.v3_membered _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k2_tarski A B))) (=> (and (tptp.v1_int_1 A) (tptp.v1_int_1 B)) (and (tptp.v1_membered _let_1) (tptp.v2_membered _let_1) (tptp.v3_membered _let_1) (tptp.v4_membered _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k2_tarski A B))) (=> (and (tptp.v4_ordinal2 A) (tptp.v4_ordinal2 B)) (and (tptp.v1_membered _let_1) (tptp.v2_membered _let_1) (tptp.v3_membered _let_1) (tptp.v4_membered _let_1) (tptp.v5_membered _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k4_waybel_0 A B))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.l1_orders_2 A) (tptp.v1_waybel_0 B A) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (and (tptp.v1_waybel_0 _let_1 A) (tptp.v12_waybel_0 _let_1 A))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k1_tarski A))) (and (not (tptp.v1_xboole_0 _let_1)) (tptp.v1_finset_1 _let_1)))) _let_3 (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k2_tarski A B))) (and (not (tptp.v1_xboole_0 _let_1)) (tptp.v1_finset_1 _let_1)))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k1_tarski A))) (=> (not (tptp.v1_xboole_0 A)) (and (not (tptp.v1_xboole_0 _let_1)) (tptp.v1_setfam_1 _let_1))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k2_waybel34 A B C))) (let ((_let_2 (tptp.u1_struct_0 B))) (let ((_let_3 (tptp.u1_struct_0 A))) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_lattice3 A) (tptp.l1_orders_2 A) (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.v1_lattice3 B) (tptp.v2_lattice3 B) (tptp.v3_lattice3 B) (tptp.l1_orders_2 B) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_3) (tptp.v18_waybel_0 C B A) (tptp.m1_relset_1 C _let_2 _let_3)) (and (tptp.v1_relat_1 _let_1) (tptp.v1_funct_1 _let_1) (not (tptp.v1_xboole_0 _let_1)) (tptp.v1_funct_2 _let_1 _let_3 _let_2) (tptp.v1_partfun1 _let_1 _let_3 _let_2) (tptp.v17_waybel_0 _let_1 A B) (tptp.v19_waybel_0 _let_1 A B) (tptp.v21_waybel_0 _let_1 A B) (tptp.v4_waybel_1 _let_1 A B) (tptp.v5_orders_3 _let_1 A B))))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k2_tarski A B))) (=> (and (not (tptp.v1_xboole_0 A)) (not (tptp.v1_xboole_0 B))) (and (not (tptp.v1_xboole_0 _let_1)) (tptp.v1_setfam_1 _let_1))))) (and (tptp.v1_xboole_0 tptp.k1_xboole_0) (tptp.v1_membered tptp.k1_xboole_0) (tptp.v2_membered tptp.k1_xboole_0) (tptp.v3_membered tptp.k1_xboole_0) (tptp.v4_membered tptp.k1_xboole_0) (tptp.v5_membered tptp.k1_xboole_0)) (forall ((A $$unsorted)) (=> (tptp.v1_xcmplx_0 A) (tptp.v1_membered (tptp.k1_tarski A)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.l1_orders_2 A) (not (tptp.v1_xboole_0 B)) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (not (tptp.v1_xboole_0 (tptp.k4_waybel_0 A B))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k1_tarski A))) (=> (tptp.v1_xreal_0 A) (and (tptp.v1_membered _let_1) (tptp.v2_membered _let_1))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k1_tarski A))) (=> (tptp.v1_rat_1 A) (and (tptp.v1_membered _let_1) (tptp.v2_membered _let_1) (tptp.v3_membered _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k6_waybel_0 A B))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.l1_orders_2 A) (tptp.m1_subset_1 B (tptp.u1_struct_0 A))) (and (not (tptp.v1_xboole_0 _let_1)) (tptp.v1_waybel_0 _let_1 A))))) (exists ((A $$unsorted)) (and (not (tptp.v1_xboole_0 A)) (tptp.v1_finset_1 A))) (exists ((A $$unsorted)) (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 A) (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.v1_lattice3 B) (tptp.v2_lattice3 B) (tptp.l1_orders_2 B)) (exists ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (and (tptp.m1_relset_1 C _let_2 _let_1) (tptp.v1_relat_1 C) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.v19_waybel_0 C A B) (tptp.v20_waybel_0 C A B))))))) (exists ((A $$unsorted)) (and (not (tptp.v1_xboole_0 A)) (tptp.v1_membered A) (tptp.v2_membered A) (tptp.v3_membered A) (tptp.v4_membered A) (tptp.v5_membered A))) (exists ((A $$unsorted)) (and (not (tptp.v1_xboole_0 A)) (tptp.v1_setfam_1 A))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.l1_orders_2 A) (not (tptp.v3_struct_0 B)) (tptp.v2_orders_2 B) (tptp.l1_orders_2 B)) (exists ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (and (tptp.m1_relset_1 C _let_2 _let_1) (tptp.v1_relat_1 C) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.v1_partfun1 C _let_2 _let_1) (tptp.v5_orders_3 C A B))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.l1_orders_2 A)) (exists ((B $$unsorted)) (and (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (not (tptp.v1_xboole_0 B)) (tptp.v1_finset_1 B) (tptp.v1_waybel_0 B A))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_lattice3 A) (tptp.l1_orders_2 A) (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.v1_lattice3 B) (tptp.v2_lattice3 B) (tptp.v3_lattice3 B) (tptp.l1_orders_2 B)) (exists ((C $$unsorted)) (and (tptp.m1_waybel_1 C A B) (tptp.v3_waybel_1 C A B))))) (exists ((A $$unsorted)) (and (tptp.v1_relat_1 A) (tptp.v1_xboole_0 A) (tptp.v1_funct_1 A))) (exists ((A $$unsorted)) (and (tptp.l1_orders_2 A) (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_lattice3 A) (tptp.v1_yellow_0 A) (tptp.v2_yellow_0 A) (tptp.v3_yellow_0 A))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (exists ((B $$unsorted)) (and (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (not (tptp.v1_xboole_0 B)) (tptp.v1_finset_1 B))))) (exists ((A $$unsorted)) (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v2_funct_1 A))) (exists ((A $$unsorted)) (and (tptp.l1_struct_0 A) (not (tptp.v3_struct_0 A)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A) (not (tptp.v3_struct_0 B)) (tptp.v2_orders_2 B) (tptp.v4_orders_2 B) (tptp.v2_yellow_0 B) (tptp.l1_orders_2 B)) (exists ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (and (tptp.m1_relset_1 C _let_2 _let_1) (tptp.v1_relat_1 C) (tptp.v1_funct_1 C) (not (tptp.v1_xboole_0 C)) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.v17_waybel_0 C A B) (tptp.v19_waybel_0 C A B) (tptp.v21_waybel_0 C A B) (tptp.v1_partfun1 C _let_2 _let_1))))))) (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)) (tptp.v1_finset_1 B))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A) (not (tptp.v3_struct_0 B)) (tptp.v2_orders_2 B) (tptp.v4_orders_2 B) (tptp.v1_yellow_0 B) (tptp.l1_orders_2 B)) (exists ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (and (tptp.m1_relset_1 C _let_2 _let_1) (tptp.v1_relat_1 C) (tptp.v1_funct_1 C) (not (tptp.v1_xboole_0 C)) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.v18_waybel_0 C A B) (tptp.v20_waybel_0 C A B) (tptp.v22_waybel_0 C A B) (tptp.v1_partfun1 C _let_2 _let_1))))))) (forall ((A $$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)) (=> (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 $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_struct_0 A) (tptp.m1_subset_1 B (tptp.u1_struct_0 A))) (= (tptp.k1_struct_0 A B) (tptp.k1_tarski B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.u1_struct_0 B))) (=> (and (tptp.l1_orders_2 A) (tptp.l1_orders_2 B) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_1 _let_2) (tptp.m1_relset_1 C _let_1 _let_2) (tptp.v1_funct_1 D) (tptp.v1_funct_2 D _let_2 _let_1) (tptp.m1_relset_1 D _let_2 _let_1)) (= (tptp.k1_waybel_1 A B C D) (tptp.k4_tarski C D)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (tptp.l1_struct_0 A) (tptp.l1_struct_0 B) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.m1_relset_1 C _let_2 _let_1)) (= (tptp.k5_pre_topc A B C D) (tptp.k10_relat_1 C D)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (=> (and (not (tptp.v1_xboole_0 A)) (not (tptp.v3_struct_0 B)) (tptp.l1_struct_0 B) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C A _let_1) (tptp.m1_relset_1 C A _let_1) (tptp.m1_subset_1 D A)) (= (tptp.k7_yellow_2 A B C D) (tptp.k1_funct_1 C D))))) _let_2 (forall ((A $$unsorted) (B $$unsorted)) (tptp.r1_tarski A A)) _let_1 (forall ((A $$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 $$unsorted)) (not (and (tptp.r2_hidden A B) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 C)) (tptp.v1_xboole_0 C)))) (forall ((A $$unsorted)) (=> (tptp.v1_xboole_0 A) (= A tptp.k1_xboole_0))) (forall ((A $$unsorted) (B $$unsorted)) (not (and (tptp.r2_hidden A B) (tptp.v1_xboole_0 B)))) (forall ((A $$unsorted) (B $$unsorted)) (not (and (tptp.v1_xboole_0 A) (not (= A B)) (tptp.v1_xboole_0 B)))) true)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 14.31/14.52  )
% 14.31/14.52  % SZS output end Proof for LAT353+1
% 14.31/14.52  % cvc5---1.0.5 exiting
% 14.31/14.52  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------