%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : LAT351+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n006.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 06:04:18 EDT 2023

% Result   : Theorem 0.70s 0.91s
% Output   : Proof 0.70s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.16  % Problem    : LAT351+1 : TPTP v8.1.2. Released v3.4.0.
% 0.13/0.17  % Command    : do_cvc5 %s %d
% 0.14/0.37  % Computer : n006.cluster.edu
% 0.14/0.37  % Model    : x86_64 x86_64
% 0.14/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.37  % Memory   : 8042.1875MB
% 0.14/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.37  % CPULimit   : 300
% 0.14/0.37  % WCLimit    : 300
% 0.14/0.37  % DateTime   : Thu Aug 24 10:04:22 EDT 2023
% 0.14/0.37  % CPUTime    : 
% 0.20/0.52  %----Proving TF0_NAR, FOF, or CNF
% 0.70/0.91  ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.vBY81l9as5/cvc5---1.0.5_13013.p...
% 0.70/0.91  ------- get file name : TPTP file name is LAT351+1
% 0.70/0.91  ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_13013.smt2...
% 0.70/0.91  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.70/0.91  % SZS status Theorem for LAT351+1
% 0.70/0.91  % SZS output start Proof for LAT351+1
% 0.70/0.91  (
% 0.70/0.91  (let ((_let_1 (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_lattice3 A) (tptp.v3_waybel_3 A) (tptp.l1_orders_2 A)) (forall ((B $$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.v3_waybel_3 B) (tptp.l1_orders_2 B)) (forall ((C $$unsorted) (D $$unsorted)) (=> (and (tptp.r1_waybel22 A C) (tptp.r1_waybel22 B D) (= (tptp.k1_card_1 C) (tptp.k1_card_1 D))) (tptp.r5_waybel_1 A B))))))))) (let ((_let_2 (forall ((A $$unsorted)) (tptp.r1_waybel22 (tptp.k2_yellow_1 (tptp.k9_waybel_0 (tptp.k3_yellow_1 A))) (tptp.k1_waybel22 A))))) (let ((_let_3 (forall ((A $$unsorted)) (= (tptp.k1_card_1 (tptp.k1_waybel22 A)) (tptp.k1_card_1 A))))) (let ((_let_4 (forall ((A $$unsorted)) (let ((_let_1 (tptp.k2_yellow_1 (tptp.k9_waybel_0 A)))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v2_yellow_0 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 A)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v1_orders_2 _let_1) (tptp.v2_orders_2 _let_1) (tptp.v3_orders_2 _let_1) (tptp.v4_orders_2 _let_1) (tptp.v1_yellow_0 _let_1) (tptp.v2_yellow_0 _let_1) (tptp.v3_yellow_0 _let_1) (tptp.v24_waybel_0 _let_1) (tptp.v25_waybel_0 _let_1) (tptp.v1_lattice3 _let_1) (tptp.v2_lattice3 _let_1) (tptp.v3_lattice3 _let_1) (tptp.v3_waybel_3 _let_1))))))) (let ((_let_5 (forall ((A $$unsorted)) (let ((_let_1 (tptp.k3_yellow_1 A))) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v1_orders_2 _let_1) (tptp.v2_orders_2 _let_1) (tptp.v3_orders_2 _let_1) (tptp.v4_orders_2 _let_1) (tptp.v1_lattice3 _let_1) (tptp.v2_lattice3 _let_1) (tptp.v3_lattice3 _let_1) (tptp.v1_yellow_0 _let_1) (tptp.v2_yellow_0 _let_1) (tptp.v3_yellow_0 _let_1) (tptp.v24_waybel_0 _let_1) (tptp.v25_waybel_0 _let_1) (tptp.v2_waybel_1 _let_1) (tptp.v9_waybel_1 _let_1) (tptp.v10_waybel_1 _let_1) (tptp.v11_waybel_1 _let_1) (tptp.v2_waybel_3 _let_1) (tptp.v3_waybel_3 _let_1) (tptp.v1_waybel_8 _let_1) (tptp.v2_waybel_8 _let_1)))))) (let ((_let_6 (forall ((A $$unsorted)) (let ((_let_1 (tptp.k3_yellow_1 A))) (and (tptp.v1_orders_2 _let_1) (tptp.l1_orders_2 _let_1)))))) (let ((_let_7 (forall ((A $$unsorted)) (let ((_let_1 (tptp.k2_yellow_1 A))) (and (tptp.v1_orders_2 _let_1) (tptp.l1_orders_2 _let_1)))))) (let ((_let_8 (not (forall ((A $$unsorted) (B $$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.v3_waybel_3 B) (tptp.l1_orders_2 B)) (forall ((C $$unsorted)) (=> (and (tptp.r1_waybel22 B C) (= (tptp.k1_card_1 C) (tptp.k1_card_1 A))) (tptp.r5_waybel_1 B (tptp.k2_yellow_1 (tptp.k9_waybel_0 (tptp.k3_yellow_1 A))))))))))) (let ((_let_9 (tptp.k1_card_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_10 (tptp.k1_card_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_11 (= _let_10 _let_9))) (let ((_let_12 (tptp.k1_waybel22 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_13 (tptp.k1_card_1 _let_12))) (let ((_let_14 (= _let_10 _let_13))) (let ((_let_15 (= _let_9 _let_13))) (let ((_let_16 (not _let_11))) (let ((_let_17 (tptp.r1_waybel22 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_18 (not _let_17))) (let ((_let_19 (tptp.k3_yellow_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_20 (tptp.k9_waybel_0 _let_19))) (let ((_let_21 (tptp.k2_yellow_1 _let_20))) (let ((_let_22 (tptp.r5_waybel_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_21))) (let ((_let_23 (tptp.l1_orders_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_24 (not _let_23))) (let ((_let_25 (tptp.v3_waybel_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_26 (not _let_25))) (let ((_let_27 (tptp.v3_lattice3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_28 (not _let_27))) (let ((_let_29 (tptp.v2_lattice3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_30 (not _let_29))) (let ((_let_31 (tptp.v1_lattice3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_32 (not _let_31))) (let ((_let_33 (tptp.v4_orders_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_34 (not _let_33))) (let ((_let_35 (tptp.v3_orders_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_36 (not _let_35))) (let ((_let_37 (tptp.v2_orders_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_38 (not _let_37))) (let ((_let_39 (or _let_38 _let_36 _let_34 _let_32 _let_30 _let_28 _let_26 _let_24 _let_22 _let_18 _let_16))) (let ((_let_40 (forall ((A $$unsorted) (B $$unsorted) (BOUND_VARIABLE_2141 $$unsorted)) (or (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.v3_lattice3 B)) (not (tptp.v3_waybel_3 B)) (not (tptp.l1_orders_2 B)) (tptp.r5_waybel_1 B (tptp.k2_yellow_1 (tptp.k9_waybel_0 (tptp.k3_yellow_1 A)))) (not (tptp.r1_waybel22 B BOUND_VARIABLE_2141)) (not (= (tptp.k1_card_1 A) (tptp.k1_card_1 BOUND_VARIABLE_2141))))))) (let ((_let_41 (not _let_39))) (let ((_let_42 (EQ_RESOLVE (ASSUME :args (_let_8)) (MACRO_SR_EQ_INTRO :args (_let_8 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_43 (or))) (let ((_let_44 (not _let_40))) (let ((_let_45 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_42) :args (_let_44))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_44) _let_40))) (REFL :args (_let_41)) :args _let_43)) _let_42 :args (_let_41 true _let_40)))) (let ((_let_46 (REFL :args (_let_39)))) (let ((_let_47 (_let_3))) (let ((_let_48 (ASSUME :args _let_47))) (let ((_let_49 (not _let_15))) (let ((_let_50 (tptp.r1_waybel22 _let_21 _let_12))) (let ((_let_51 (not _let_50))) (let ((_let_52 (tptp.l1_orders_2 _let_21))) (let ((_let_53 (not _let_52))) (let ((_let_54 (tptp.v3_waybel_3 _let_21))) (let ((_let_55 (not _let_54))) (let ((_let_56 (tptp.v3_lattice3 _let_21))) (let ((_let_57 (not _let_56))) (let ((_let_58 (tptp.v2_lattice3 _let_21))) (let ((_let_59 (not _let_58))) (let ((_let_60 (tptp.v1_lattice3 _let_21))) (let ((_let_61 (not _let_60))) (let ((_let_62 (tptp.v4_orders_2 _let_21))) (let ((_let_63 (not _let_62))) (let ((_let_64 (tptp.v3_orders_2 _let_21))) (let ((_let_65 (not _let_64))) (let ((_let_66 (tptp.v2_orders_2 _let_21))) (let ((_let_67 (not _let_66))) (let ((_let_68 (or _let_38 _let_36 _let_34 _let_32 _let_30 _let_28 _let_26 _let_24 _let_67 _let_65 _let_63 _let_61 _let_59 _let_57 _let_55 _let_53 _let_22 _let_18 _let_51 _let_49))) (let ((_let_69 (forall ((A $$unsorted) (BOUND_VARIABLE_3311 $$unsorted) (BOUND_VARIABLE_3309 $$unsorted) (BOUND_VARIABLE_3307 $$unsorted)) (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.v3_waybel_3 A)) (not (tptp.l1_orders_2 A)) (not (tptp.v2_orders_2 BOUND_VARIABLE_3307)) (not (tptp.v3_orders_2 BOUND_VARIABLE_3307)) (not (tptp.v4_orders_2 BOUND_VARIABLE_3307)) (not (tptp.v1_lattice3 BOUND_VARIABLE_3307)) (not (tptp.v2_lattice3 BOUND_VARIABLE_3307)) (not (tptp.v3_lattice3 BOUND_VARIABLE_3307)) (not (tptp.v3_waybel_3 BOUND_VARIABLE_3307)) (not (tptp.l1_orders_2 BOUND_VARIABLE_3307)) (tptp.r5_waybel_1 A BOUND_VARIABLE_3307) (not (tptp.r1_waybel22 A BOUND_VARIABLE_3311)) (not (tptp.r1_waybel22 BOUND_VARIABLE_3307 BOUND_VARIABLE_3309)) (not (= (tptp.k1_card_1 BOUND_VARIABLE_3311) (tptp.k1_card_1 BOUND_VARIABLE_3309))))))) (let ((_let_70 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_71 (_let_2))) (let ((_let_72 (ASSUME :args _let_71))) (let ((_let_73 (and (not (tptp.v3_struct_0 _let_21)) (tptp.v1_orders_2 _let_21) _let_66 _let_64 _let_62 (tptp.v1_yellow_0 _let_21) (tptp.v2_yellow_0 _let_21) (tptp.v3_yellow_0 _let_21) (tptp.v24_waybel_0 _let_21) (tptp.v25_waybel_0 _let_21) _let_60 _let_58 _let_56 _let_54))) (let ((_let_74 (tptp.l1_orders_2 _let_19))) (let ((_let_75 (not _let_74))) (let ((_let_76 (tptp.v2_lattice3 _let_19))) (let ((_let_77 (not _let_76))) (let ((_let_78 (tptp.v2_yellow_0 _let_19))) (let ((_let_79 (not _let_78))) (let ((_let_80 (tptp.v4_orders_2 _let_19))) (let ((_let_81 (not _let_80))) (let ((_let_82 (tptp.v3_orders_2 _let_19))) (let ((_let_83 (not _let_82))) (let ((_let_84 (tptp.v2_orders_2 _let_19))) (let ((_let_85 (not _let_84))) (let ((_let_86 (tptp.v3_struct_0 _let_19))) (let ((_let_87 (or _let_86 _let_85 _let_83 _let_81 _let_79 _let_77 _let_75 _let_73))) (let ((_let_88 (forall ((A $$unsorted)) (let ((_let_1 (tptp.k2_yellow_1 (tptp.k9_waybel_0 A)))) (or (tptp.v3_struct_0 A) (not (tptp.v2_orders_2 A)) (not (tptp.v3_orders_2 A)) (not (tptp.v4_orders_2 A)) (not (tptp.v2_yellow_0 A)) (not (tptp.v2_lattice3 A)) (not (tptp.l1_orders_2 A)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v1_orders_2 _let_1) (tptp.v2_orders_2 _let_1) (tptp.v3_orders_2 _let_1) (tptp.v4_orders_2 _let_1) (tptp.v1_yellow_0 _let_1) (tptp.v2_yellow_0 _let_1) (tptp.v3_yellow_0 _let_1) (tptp.v24_waybel_0 _let_1) (tptp.v25_waybel_0 _let_1) (tptp.v1_lattice3 _let_1) (tptp.v2_lattice3 _let_1) (tptp.v3_lattice3 _let_1) (tptp.v3_waybel_3 _let_1))))))) (let ((_let_89 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_90 (forall ((BOUND_VARIABLE_2666 $$unsorted)) (tptp.v2_lattice3 (tptp.k3_yellow_1 BOUND_VARIABLE_2666))))) (let ((_let_91 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_92 (_let_90))) (let ((_let_93 (forall ((BOUND_VARIABLE_2687 $$unsorted)) (tptp.v2_yellow_0 (tptp.k3_yellow_1 BOUND_VARIABLE_2687))))) (let ((_let_94 (_let_93))) (let ((_let_95 (forall ((BOUND_VARIABLE_2652 $$unsorted)) (tptp.v4_orders_2 (tptp.k3_yellow_1 BOUND_VARIABLE_2652))))) (let ((_let_96 (_let_95))) (let ((_let_97 (forall ((BOUND_VARIABLE_2515 $$unsorted)) (tptp.l1_orders_2 (tptp.k3_yellow_1 BOUND_VARIABLE_2515))))) (let ((_let_98 (1))) (let ((_let_99 (_let_97))) (let ((_let_100 (forall ((BOUND_VARIABLE_2645 $$unsorted)) (tptp.v3_orders_2 (tptp.k3_yellow_1 BOUND_VARIABLE_2645))))) (let ((_let_101 (_let_100))) (let ((_let_102 (forall ((BOUND_VARIABLE_2638 $$unsorted)) (tptp.v2_orders_2 (tptp.k3_yellow_1 BOUND_VARIABLE_2638))))) (let ((_let_103 (_let_102))) (let ((_let_104 (forall ((BOUND_VARIABLE_2625 $$unsorted)) (not (tptp.v3_struct_0 (tptp.k3_yellow_1 BOUND_VARIABLE_2625)))))) (let ((_let_105 (_let_104))) (let ((_let_106 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_87)) :args ((or _let_86 _let_85 _let_83 _let_75 _let_81 _let_79 _let_77 _let_73 (not _let_87)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_105) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.k3_yellow_1 BOUND_VARIABLE_2625)))) :args _let_105)) (AND_ELIM _let_91 :args (0)) :args ((not _let_86) false _let_104)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_103) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.k3_yellow_1 BOUND_VARIABLE_2638)))) :args _let_103)) (AND_ELIM _let_91 :args (2)) :args (_let_84 false _let_102)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_101) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.k3_yellow_1 BOUND_VARIABLE_2645)))) :args _let_101)) (AND_ELIM _let_91 :args (3)) :args (_let_82 false _let_100)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_99) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.k3_yellow_1 BOUND_VARIABLE_2515)))) :args _let_99)) (AND_ELIM (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))) :args _let_98) :args (_let_74 false _let_97)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_96) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.k3_yellow_1 BOUND_VARIABLE_2652)))) :args _let_96)) (AND_ELIM _let_91 :args (4)) :args (_let_80 false _let_95)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_94) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.k3_yellow_1 BOUND_VARIABLE_2687)))) :args _let_94)) (AND_ELIM _let_91 :args (9)) :args (_let_78 false _let_93)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_92) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.k3_yellow_1 BOUND_VARIABLE_2666)))) :args _let_92)) (AND_ELIM _let_91 :args (6)) :args (_let_76 false _let_90)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_89 :args (_let_19 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.k9_waybel_0 A)))) :args (_let_88))) _let_89 :args (_let_87 false _let_88)) :args (_let_73 true _let_86 false _let_84 false _let_82 false _let_74 false _let_80 false _let_78 false _let_76 false _let_87)))) (let ((_let_107 (not _let_73))) (let ((_let_108 (forall ((BOUND_VARIABLE_2501 $$unsorted)) (tptp.l1_orders_2 (tptp.k2_yellow_1 BOUND_VARIABLE_2501))))) (let ((_let_109 (_let_108))) (let ((_let_110 (and _let_11 _let_14))) (let ((_let_111 (ASSUME :args (_let_14)))) (let ((_let_112 (ASSUME :args (_let_11)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_110)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_111 _let_112) (SCOPE (TRANS (SYMM _let_112) (SYMM (SYMM _let_111))) :args (_let_14 _let_11))) :args (_let_11 _let_14))) :args (true _let_110)) :args ((or _let_16 _let_15 (not _let_14)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_68)) :args ((or _let_38 _let_36 _let_34 _let_32 _let_30 _let_28 _let_26 _let_24 _let_22 _let_18 _let_53 _let_67 _let_65 _let_63 _let_61 _let_59 _let_57 _let_55 _let_51 _let_49 (not _let_68)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args 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A)) (and _let_6 _let_5 _let_4 _let_3 _let_2 (tptp.v2_lattice3 A) (tptp.v3_lattice3 A) _let_1 (tptp.v2_yellow_0 A) (tptp.v3_yellow_0 A))))))))))) (forall ((A $$unsorted)) (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 $$unsorted)) (let ((_let_1 (tptp.v2_yellow_0 A))) (let ((_let_2 (tptp.v4_orders_2 A))) (let ((_let_3 (tptp.v2_orders_2 A))) (let ((_let_4 (not (tptp.v3_struct_0 A)))) (=> (tptp.l1_orders_2 A) (=> (and _let_4 _let_3 _let_2 _let_1 (tptp.v25_waybel_0 A)) (and _let_4 _let_3 _let_2 (tptp.v1_lattice3 A) _let_1)))))))) (forall ((A $$unsorted)) (=> (tptp.v1_xboole_0 A) (tptp.v1_funct_1 A))) (forall ((A $$unsorted)) (=> (tptp.l1_orders_2 A) (=> (tptp.v1_lattice3 A) (not (tptp.v3_struct_0 A))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.m1_subset_1 C 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(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 (not (tptp.v3_struct_0 A)))) (=> (tptp.l1_orders_2 A) (=> (and _let_1 (tptp.v1_waybel_5 A)) (and _let_1 (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 $$unsorted)) (let ((_let_1 (tptp.v1_funct_1 A))) (let ((_let_2 (tptp.v1_relat_1 A))) (=> (and _let_2 (tptp.v1_xboole_0 A) _let_1) (and _let_2 _let_1 (tptp.v2_funct_1 A)))))) (forall ((A $$unsorted)) (=> (tptp.l1_orders_2 A) (=> (tptp.v2_lattice3 A) (not (tptp.v3_struct_0 A))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.v4_orders_2 A))) (let ((_let_2 (tptp.v3_orders_2 A))) (let ((_let_3 (tptp.v2_orders_2 A))) (let ((_let_4 (not (tptp.v3_struct_0 A)))) (=> (tptp.l1_orders_2 A) (=> (and _let_4 _let_3 _let_2 _let_1 (tptp.v3_realset2 A)) (and _let_4 _let_3 _let_2 _let_1 (tptp.v1_waybel_5 A))))))))) (forall ((A $$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.v2_waybel_8 A)) (and _let_2 _let_1 (tptp.v24_waybel_0 A) (tptp.v1_waybel_8 A))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.v2_orders_2 A))) (let ((_let_2 (not (tptp.v3_struct_0 A)))) (=> (tptp.l1_orders_2 A) (=> (and _let_2 _let_1 (tptp.v3_realset2 A)) (and _let_2 _let_1 (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v3_lattice3 A))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.v2_lattice3 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))) (=> (tptp.l1_orders_2 A) (=> (and _let_5 _let_4 _let_3 _let_2 _let_1 (tptp.v1_waybel_5 A)) (and (not (tptp.v3_struct_0 A)) _let_5 _let_4 _let_3 _let_2 _let_1 (tptp.v3_lattice3 A) (tptp.v1_yellow_0 A) (tptp.v2_yellow_0 A) (tptp.v3_yellow_0 A) (tptp.v24_waybel_0 A) (tptp.v25_waybel_0 A) (tptp.v2_waybel_3 A) (tptp.v3_waybel_3 A)))))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.v2_lattice3 A))) (let ((_let_2 (tptp.v1_lattice3 A))) (let ((_let_3 (tptp.v4_orders_2 A))) (let ((_let_4 (tptp.v3_orders_2 A))) (let ((_let_5 (tptp.v2_orders_2 A))) (=> (tptp.l1_orders_2 A) (=> (and _let_5 _let_4 _let_3 _let_2 _let_1 (tptp.v3_waybel_8 A)) (and (not (tptp.v3_struct_0 A)) _let_5 _let_4 _let_3 _let_2 _let_1 (tptp.v2_yellow_0 A) (tptp.v24_waybel_0 A) (tptp.v2_waybel_3 A) (tptp.v3_waybel_3 A) (tptp.v1_waybel_8 A) (tptp.v2_waybel_8 A)))))))))) (forall ((A $$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 $$unsorted)) (let ((_let_1 (tptp.v2_lattice3 A))) (let ((_let_2 (tptp.v1_lattice3 A))) (let ((_let_3 (tptp.v4_orders_2 A))) (let ((_let_4 (tptp.v3_orders_2 A))) (let ((_let_5 (tptp.v2_orders_2 A))) (=> (tptp.l1_orders_2 A) (=> (and _let_5 _let_4 _let_3 _let_2 _let_1 (tptp.v1_waybel_5 A)) (and (not (tptp.v3_struct_0 A)) _let_5 _let_4 _let_3 _let_2 _let_1 (tptp.v9_waybel_1 A)))))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.v2_lattice3 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))) (=> (tptp.l1_orders_2 A) (=> (and _let_5 _let_4 _let_3 _let_2 _let_1 (tptp.v3_realset2 A)) (and (not (tptp.v3_struct_0 A)) _let_5 _let_4 _let_3 _let_2 _let_1 (tptp.v2_yellow_0 A) (tptp.v24_waybel_0 A) (tptp.v2_waybel_3 A) (tptp.v3_waybel_3 A) (tptp.v1_waybel_8 A) (tptp.v2_waybel_8 A) (tptp.v3_waybel_8 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)) (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_realset2 A)) (and _let_2 _let_1 (tptp.v16_waybel_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)) (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 $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (= (tptp.k7_waybel_0 A B) (tptp.k5_waybel_0 A (tptp.k1_struct_0 A B))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.l1_orders_2 A)) (= (tptp.k9_waybel_0 A) (tptp.a_1_1_waybel_0 A)))) (forall ((A $$unsorted)) (= (tptp.k1_waybel22 A) (tptp.a_1_0_waybel22 A))) (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 $$unsorted)) (tptp.v1_card_1 (tptp.k1_card_1 A))) (forall ((A $$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)) (tptp.m1_subset_1 (tptp.k1_waybel22 A) (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 (tptp.k3_yellow_1 A)))))) true true _let_7 true _let_6 (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.k5_waybel_0 A B) _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.k7_waybel_0 A B) (tptp.k1_zfmisc_1 _let_1))))) true (forall ((A $$unsorted)) (=> (tptp.l1_orders_2 A) (tptp.l1_struct_0 A))) true true true (forall ((A $$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 $$unsorted)) (let ((_let_1 (tptp.k7_waybel_0 A B))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.l1_orders_2 A) (tptp.m1_subset_1 B (tptp.u1_struct_0 A))) (and (not (tptp.v1_xboole_0 _let_1)) (tptp.v2_waybel_0 _let_1 A))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.g1_orders_2 (tptp.u1_struct_0 A) (tptp.u1_orders_2 A)))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v24_waybel_0 A) (tptp.l1_orders_2 A)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v1_orders_2 _let_1) (tptp.v2_orders_2 _let_1) (tptp.v24_waybel_0 _let_1))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.g1_orders_2 (tptp.u1_struct_0 A) (tptp.u1_orders_2 A)))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v4_orders_2 A) (tptp.v2_waybel_8 A) (tptp.l1_orders_2 A)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v1_orders_2 _let_1) (tptp.v2_orders_2 _let_1) (tptp.v4_orders_2 _let_1) (tptp.v24_waybel_0 _let_1) (tptp.v1_waybel_8 _let_1) (tptp.v2_waybel_8 _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_orders_2 A) (tptp.l1_orders_2 A) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (tptp.v13_waybel_0 (tptp.k5_waybel_0 A B) A))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.g1_orders_2 (tptp.u1_struct_0 A) (tptp.u1_orders_2 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_waybel_8 A) (tptp.l1_orders_2 A)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v1_orders_2 _let_1) (tptp.v2_orders_2 _let_1) (tptp.v3_orders_2 _let_1) (tptp.v4_orders_2 _let_1) (tptp.v1_lattice3 _let_1) (tptp.v2_lattice3 _let_1) (tptp.v2_yellow_0 _let_1) (tptp.v24_waybel_0 _let_1) (tptp.v2_waybel_3 _let_1) (tptp.v3_waybel_3 _let_1) (tptp.v1_waybel_8 _let_1) (tptp.v2_waybel_8 _let_1) (tptp.v3_waybel_8 _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.v13_waybel_0 (tptp.k7_waybel_0 A B) A))) _let_5 (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k5_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.v2_waybel_0 B A) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (and (tptp.v2_waybel_0 _let_1 A) (tptp.v13_waybel_0 _let_1 A))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_struct_0 A)) (not (tptp.v1_xboole_0 (tptp.u1_struct_0 A))))) (forall ((A $$unsorted)) (not (tptp.v1_xboole_0 (tptp.k1_zfmisc_1 A)))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v2_yellow_0 A) (tptp.l1_orders_2 A)) (not (tptp.v1_xboole_0 (tptp.k9_waybel_0 A))))) _let_4 (tptp.v1_xboole_0 tptp.k1_xboole_0) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k1_tarski A))) (let ((_let_2 (tptp.g1_orders_2 _let_1 B))) (=> (tptp.m1_relset_1 B _let_1 _let_1) (and (not (tptp.v3_struct_0 _let_2)) (tptp.v1_orders_2 _let_2) (tptp.v3_realset2 _let_2)))))) (forall ((A $$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 $$unsorted)) (not (tptp.v1_xboole_0 (tptp.k1_tarski A)))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k2_yellow_1 (tptp.k9_waybel_0 A)))) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v2_lattice3 A) (tptp.v2_yellow_0 A) (tptp.l1_orders_2 A)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v1_orders_2 _let_1) (tptp.v2_orders_2 _let_1) (tptp.v3_orders_2 _let_1) (tptp.v4_orders_2 _let_1) (tptp.v2_lattice3 _let_1) (tptp.v3_lattice3 _let_1) (tptp.v1_yellow_0 _let_1) (tptp.v24_waybel_0 _let_1) (tptp.v25_waybel_0 _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (not (tptp.v1_xboole_0 B))) (not (tptp.v1_xboole_0 (tptp.k2_zfmisc_1 A B))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.g1_orders_2 (tptp.u1_struct_0 A) (tptp.u1_orders_2 A)))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v1_orders_2 _let_1))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.g1_orders_2 (tptp.u1_struct_0 A) (tptp.u1_orders_2 A)))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.l1_orders_2 A)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v1_orders_2 _let_1) (tptp.v2_orders_2 _let_1))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.g1_orders_2 (tptp.u1_struct_0 A) (tptp.u1_orders_2 A)))) (=> (and (tptp.v3_orders_2 A) (tptp.l1_orders_2 A)) (and (tptp.v1_orders_2 _let_1) (tptp.v3_orders_2 _let_1))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.g1_orders_2 (tptp.u1_struct_0 A) (tptp.u1_orders_2 A)))) (=> (and (tptp.v4_orders_2 A) (tptp.l1_orders_2 A)) (and (tptp.v1_orders_2 _let_1) (tptp.v4_orders_2 _let_1))))) (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.k5_waybel_0 A B))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.g1_orders_2 (tptp.u1_struct_0 A) (tptp.u1_orders_2 A)))) (=> (and (tptp.v2_lattice3 A) (tptp.l1_orders_2 A)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v1_orders_2 _let_1) (tptp.v2_lattice3 _let_1))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.g1_orders_2 (tptp.u1_struct_0 A) (tptp.u1_orders_2 A)))) (=> (and (tptp.v1_lattice3 A) (tptp.l1_orders_2 A)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v1_orders_2 _let_1) (tptp.v1_lattice3 _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.r2_hidden A (tptp.a_1_0_waybel22 B)) (exists ((C $$unsorted)) (let ((_let_1 (tptp.k3_yellow_1 B))) (and (tptp.m1_subset_1 C (tptp.u1_struct_0 _let_1)) (= A (tptp.k7_waybel_0 _let_1 C)) (exists ((D $$unsorted)) (and (tptp.m1_subset_1 D B) (= C (tptp.k1_tarski D))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.l1_orders_2 B)) (= (tptp.r2_hidden A (tptp.a_1_1_waybel_0 B)) (exists ((C $$unsorted)) (and (not (tptp.v1_xboole_0 C)) (tptp.v2_waybel_0 C B) (tptp.v13_waybel_0 C B) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B))) (= A C)))))) (forall ((A $$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)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.l1_orders_2 A)) (exists ((B $$unsorted)) (and (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (not (tptp.v1_xboole_0 B)) (tptp.v2_waybel_0 B A) (tptp.v13_waybel_0 B A))))) (exists ((A $$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.v16_waybel_0 A))) (exists ((A $$unsorted)) (and (tptp.l1_orders_2 A) (not (tptp.v3_struct_0 A)) (tptp.v1_orders_2 A) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_lattice3 A) (tptp.v1_yellow_0 A) (tptp.v2_yellow_0 A) (tptp.v3_yellow_0 A) (tptp.v24_waybel_0 A) (tptp.v25_waybel_0 A))) (exists ((A $$unsorted)) (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A))) (exists ((A $$unsorted)) (and (tptp.l1_orders_2 A) (not (tptp.v3_struct_0 A)) (tptp.v1_orders_2 A) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v3_lattice3 A))) (exists ((A $$unsorted)) (and (not (tptp.v1_xboole_0 A)) (tptp.v1_setfam_1 A))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (exists ((B $$unsorted)) (and (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (not (tptp.v1_xboole_0 B)))))) (exists ((A $$unsorted)) (and (tptp.l1_orders_2 A) (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v1_waybel_5 A))) (exists ((A $$unsorted)) (tptp.v1_xboole_0 A)) (exists ((A $$unsorted)) (and (tptp.l1_orders_2 A) (not (tptp.v3_struct_0 A)) (tptp.v1_orders_2 A) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_lattice3 A) (tptp.v3_realset2 A))) (exists ((A $$unsorted)) (and (tptp.l1_orders_2 A) (not (tptp.v3_struct_0 A)) (tptp.v1_orders_2 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) (tptp.v16_waybel_0 A) (tptp.v24_waybel_0 A) (tptp.v25_waybel_0 A) (tptp.v2_waybel_1 A) (tptp.v9_waybel_1 A) (tptp.v1_waybel_5 A) (tptp.v3_realset2 A))) (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.v1_orders_2 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))) (forall ((A $$unsorted)) (exists ((B $$unsorted)) (and (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (tptp.v1_xboole_0 B)))) (exists ((A $$unsorted)) (not (tptp.v1_xboole_0 A))) (exists ((A $$unsorted)) (and (tptp.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))) (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 $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_struct_0 A)) (exists ((B $$unsorted)) (and (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (not (tptp.v1_xboole_0 B)))))) (forall ((A $$unsorted) (B $$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 $$unsorted)) (= (tptp.m2_relset_1 C A B) (tptp.m1_relset_1 C A B))) (forall ((A $$unsorted) (B $$unsorted)) (tptp.r1_tarski A A)) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.l1_orders_2 A) (tptp.l1_orders_2 B)) (tptp.r5_waybel_1 A A))) _let_3 _let_2 _let_1 (forall ((A $$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 $$unsorted)) (=> (forall ((C $$unsorted)) (= (tptp.r2_hidden C A) (tptp.r2_hidden C B))) (= 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)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.70/0.92  )
% 0.70/0.92  % SZS output end Proof for LAT351+1
% 0.70/0.92  % cvc5---1.0.5 exiting
% 0.70/0.92  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------