TSTP Solution File: LAT346+1 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : LAT346+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 06:04:15 EDT 2023
% Result : Theorem 0.73s 0.91s
% Output : Proof 0.73s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : LAT346+1 : TPTP v8.1.2. Released v3.4.0.
% 0.00/0.14 % Command : do_cvc5 %s %d
% 0.14/0.35 % Computer : n021.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Thu Aug 24 09:33:10 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.21/0.49 %----Proving TF0_NAR, FOF, or CNF
% 0.73/0.91 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.tK20aAZY8T/cvc5---1.0.5_7282.p...
% 0.73/0.91 ------- get file name : TPTP file name is LAT346+1
% 0.73/0.91 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_7282.smt2...
% 0.73/0.91 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.73/0.91 % SZS status Theorem for LAT346+1
% 0.73/0.91 % SZS output start Proof for LAT346+1
% 0.73/0.91 (
% 0.73/0.91 (let ((_let_1 (forall ((A $$unsorted)) (=> (and (not (tptp.v3_conlat_1 A)) (tptp.l2_conlat_1 A)) (tptp.v3_lattice4 (tptp.k10_conlat_2 A) (tptp.k1_lattice2 (tptp.k11_conlat_1 A)) (tptp.k11_conlat_1 (tptp.k7_conlat_2 A))))))) (let ((_let_2 (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A) (not (tptp.v3_struct_0 B)) (tptp.v10_lattices B) (tptp.l3_lattices B)) (=> (tptp.r1_filter_1 A B) (tptp.r1_filter_1 B A)))))) (let ((_let_3 (forall ((A $$unsorted)) (let ((_let_1 (tptp.k1_lattice2 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v4_lattice3 A) (tptp.l3_lattices A)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v3_lattices _let_1) (tptp.v4_lattices _let_1) (tptp.v5_lattices _let_1) (tptp.v6_lattices _let_1) (tptp.v7_lattices _let_1) (tptp.v8_lattices _let_1) (tptp.v9_lattices _let_1) (tptp.v10_lattices _let_1) (tptp.v4_lattice3 _let_1))))))) (let ((_let_4 (forall ((A $$unsorted)) (let ((_let_1 (tptp.k1_lattice2 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l3_lattices A)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v3_lattices _let_1))))))) (let ((_let_5 (forall ((A $$unsorted)) (let ((_let_1 (tptp.k11_conlat_1 A))) (=> (and (not (tptp.v3_conlat_1 A)) (tptp.l2_conlat_1 A)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v3_lattices _let_1) (tptp.v4_lattices _let_1) (tptp.v5_lattices _let_1) (tptp.v6_lattices _let_1) (tptp.v7_lattices _let_1) (tptp.v8_lattices _let_1) (tptp.v9_lattices _let_1) (tptp.v10_lattices _let_1) (tptp.v13_lattices _let_1) (tptp.v14_lattices _let_1) (tptp.v15_lattices _let_1) (tptp.v4_lattice3 _let_1))))))) (let ((_let_6 (forall ((A $$unsorted)) (let ((_let_1 (tptp.k7_conlat_2 A))) (=> (and (not (tptp.v3_conlat_1 A)) (tptp.l2_conlat_1 A)) (and (not (tptp.v3_conlat_1 _let_1)) (tptp.v4_conlat_1 _let_1) (tptp.l2_conlat_1 _let_1))))))) (let ((_let_7 (forall ((A $$unsorted)) (let ((_let_1 (tptp.k1_lattice2 A))) (=> (tptp.l3_lattices A) (and (tptp.v3_lattices _let_1) (tptp.l3_lattices _let_1))))))) (let ((_let_8 (forall ((A $$unsorted)) (let ((_let_1 (tptp.k11_conlat_1 A))) (=> (and (not (tptp.v3_conlat_1 A)) (tptp.l2_conlat_1 A)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v3_lattices _let_1) (tptp.l3_lattices _let_1))))))) (let ((_let_9 (forall ((A $$unsorted)) (=> (and (not (tptp.v3_conlat_1 A)) (tptp.l2_conlat_1 A)) (tptp.m1_lattice4 (tptp.k10_conlat_2 A) (tptp.k1_lattice2 (tptp.k11_conlat_1 A)) (tptp.k11_conlat_1 (tptp.k7_conlat_2 A))))))) (let ((_let_10 (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v10_lattices B) (tptp.l3_lattices B)) (= (tptp.r1_filter_1 A B) (exists ((C $$unsorted)) (and (tptp.m1_lattice4 C A B) (tptp.v3_lattice4 C A B)))))))))) (let ((_let_11 (not (forall ((A $$unsorted)) (=> (and (not (tptp.v3_conlat_1 A)) (tptp.l2_conlat_1 A)) (tptp.r1_filter_1 (tptp.k11_conlat_1 (tptp.k7_conlat_2 A)) (tptp.k1_lattice2 (tptp.k11_conlat_1 A)))))))) (let ((_let_12 (forall ((C $$unsorted)) (let ((_let_1 (tptp.k11_conlat_1 (tptp.k7_conlat_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))) (let ((_let_2 (tptp.k1_lattice2 (tptp.k11_conlat_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))) (or (not (tptp.m1_lattice4 C _let_2 _let_1)) (not (tptp.v3_lattice4 C _let_2 _let_1)))))))) (let ((_let_13 (tptp.k7_conlat_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_14 (tptp.k11_conlat_1 _let_13))) (let ((_let_15 (tptp.k11_conlat_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_16 (tptp.k1_lattice2 _let_15))) (let ((_let_17 (tptp.k10_conlat_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_18 (tptp.v3_lattice4 _let_17 _let_16 _let_14))) (let ((_let_19 (not _let_18))) (let ((_let_20 (tptp.m1_lattice4 _let_17 _let_16 _let_14))) (let ((_let_21 (not _let_20))) (let ((_let_22 (or _let_21 _let_19))) (let ((_let_23 (not _let_12))) (let ((_let_24 (tptp.r1_filter_1 _let_16 _let_14))) (let ((_let_25 (= _let_24 _let_23))) (let ((_let_26 (tptp.l3_lattices _let_14))) (let ((_let_27 (not _let_26))) (let ((_let_28 (tptp.v10_lattices _let_14))) (let ((_let_29 (not _let_28))) (let ((_let_30 (tptp.v3_struct_0 _let_14))) (let ((_let_31 (tptp.l3_lattices _let_16))) (let ((_let_32 (not _let_31))) (let ((_let_33 (tptp.v10_lattices _let_16))) (let ((_let_34 (not _let_33))) (let ((_let_35 (tptp.v3_struct_0 _let_16))) (let ((_let_36 (or _let_35 _let_34 _let_32 _let_30 _let_29 _let_27 _let_25))) (let ((_let_37 (forall ((A $$unsorted) (BOUND_VARIABLE_1906 $$unsorted)) (or (tptp.v3_struct_0 A) (not (tptp.v10_lattices A)) (not (tptp.l3_lattices A)) (tptp.v3_struct_0 BOUND_VARIABLE_1906) (not (tptp.v10_lattices BOUND_VARIABLE_1906)) (not (tptp.l3_lattices BOUND_VARIABLE_1906)) (= (tptp.r1_filter_1 A BOUND_VARIABLE_1906) (not (forall ((C $$unsorted)) (or (not (tptp.m1_lattice4 C A BOUND_VARIABLE_1906)) (not (tptp.v3_lattice4 C A BOUND_VARIABLE_1906)))))))))) (let ((_let_38 (EQ_RESOLVE (ASSUME :args (_let_10)) (MACRO_SR_EQ_INTRO :args (_let_10 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_39 (tptp.v3_lattices _let_16))) (let ((_let_40 (and _let_39 _let_31))) (let ((_let_41 (tptp.l3_lattices _let_15))) (let ((_let_42 (not _let_41))) (let ((_let_43 (or _let_42 _let_40))) (let ((_let_44 (forall ((A $$unsorted)) (let ((_let_1 (tptp.k1_lattice2 A))) (or (not (tptp.l3_lattices A)) (and (tptp.v3_lattices _let_1) (tptp.l3_lattices _let_1))))))) (let ((_let_45 (EQ_RESOLVE (ASSUME :args (_let_7)) (MACRO_SR_EQ_INTRO :args (_let_7 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_46 (tptp.v3_lattices _let_15))) (let ((_let_47 (tptp.v3_struct_0 _let_15))) (let ((_let_48 (not _let_47))) (let ((_let_49 (and _let_48 _let_46 _let_41))) (let ((_let_50 (tptp.l2_conlat_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_51 (not _let_50))) (let ((_let_52 (tptp.v3_conlat_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_53 (or _let_52 _let_51 _let_49))) (let ((_let_54 (forall ((A $$unsorted)) (let ((_let_1 (tptp.k11_conlat_1 A))) (or (tptp.v3_conlat_1 A) (not (tptp.l2_conlat_1 A)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v3_lattices _let_1) (tptp.l3_lattices _let_1))))))) (let ((_let_55 (EQ_RESOLVE (ASSUME :args (_let_8)) (MACRO_SR_EQ_INTRO :args (_let_8 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_56 (_let_54))) (let ((_let_57 (tptp.r1_filter_1 _let_14 _let_16))) (let ((_let_58 (or _let_52 _let_51 _let_57))) (let ((_let_59 (forall ((A $$unsorted)) (or (tptp.v3_conlat_1 A) (not (tptp.l2_conlat_1 A)) (tptp.r1_filter_1 (tptp.k11_conlat_1 (tptp.k7_conlat_2 A)) (tptp.k1_lattice2 (tptp.k11_conlat_1 A))))))) (let ((_let_60 (not _let_58))) (let ((_let_61 (EQ_RESOLVE (ASSUME :args (_let_11)) (MACRO_SR_EQ_INTRO :args (_let_11 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_62 (or))) (let ((_let_63 (not _let_59))) (let ((_let_64 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_61) :args (_let_63))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_63) _let_59))) (REFL :args (_let_60)) :args _let_62)) _let_61 :args (_let_60 true _let_59)))) (let ((_let_65 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_58 1)) (CONG (REFL :args (_let_58)) (MACRO_SR_PRED_INTRO :args ((= (not _let_51) _let_50))) :args _let_62)) :args ((or _let_50 _let_58))) _let_64 :args (_let_50 true _let_58)))) (let ((_let_66 (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_58 0)) _let_64 :args ((not _let_52) true _let_58)))) (let ((_let_67 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_53)) :args ((or _let_52 _let_51 _let_49 (not _let_53)))) _let_66 _let_65 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_55 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.v3_conlat_1 A) true))))) :args _let_56)) _let_55 :args (_let_53 false _let_54)) :args (_let_49 true _let_52 false _let_50 false _let_53)))) (let ((_let_68 (not _let_49))) (let ((_let_69 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_49 2)) :args ((or _let_41 _let_68))) _let_67 :args (_let_41 false _let_49)))) (let ((_let_70 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_40 1)) :args ((or _let_31 (not _let_40)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_43)) :args ((or _let_42 _let_40 (not _let_43)))) _let_69 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_45 :args (_let_15 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.k1_lattice2 A)))) :args (_let_44))) _let_45 :args (_let_43 false _let_44)) :args (_let_40 false _let_41 false _let_43)) :args (_let_31 false _let_40)))) (let ((_let_71 (not _let_35))) (let ((_let_72 (and _let_71 _let_39 (tptp.v4_lattices _let_16) (tptp.v5_lattices _let_16) (tptp.v6_lattices _let_16) (tptp.v7_lattices _let_16) (tptp.v8_lattices _let_16) (tptp.v9_lattices _let_16) _let_33 (tptp.v4_lattice3 _let_16)))) (let ((_let_73 (tptp.v4_lattice3 _let_15))) (let ((_let_74 (not _let_73))) (let ((_let_75 (tptp.v10_lattices _let_15))) (let ((_let_76 (not _let_75))) (let ((_let_77 (or _let_47 _let_76 _let_74 _let_42 _let_72))) (let ((_let_78 (forall ((A $$unsorted)) (let ((_let_1 (tptp.k1_lattice2 A))) (or (tptp.v3_struct_0 A) (not (tptp.v10_lattices A)) (not (tptp.v4_lattice3 A)) (not (tptp.l3_lattices A)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v3_lattices _let_1) (tptp.v4_lattices _let_1) (tptp.v5_lattices _let_1) (tptp.v6_lattices _let_1) (tptp.v7_lattices _let_1) (tptp.v8_lattices _let_1) (tptp.v9_lattices _let_1) (tptp.v10_lattices _let_1) (tptp.v4_lattice3 _let_1))))))) (let ((_let_79 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_80 (and _let_48 _let_46 (tptp.v4_lattices _let_15) (tptp.v5_lattices _let_15) (tptp.v6_lattices _let_15) (tptp.v7_lattices _let_15) (tptp.v8_lattices _let_15) (tptp.v9_lattices _let_15) _let_75 (tptp.v13_lattices _let_15) (tptp.v14_lattices _let_15) (tptp.v15_lattices _let_15) _let_73))) (let ((_let_81 (or _let_52 _let_51 _let_80))) (let ((_let_82 (forall ((A $$unsorted)) (let ((_let_1 (tptp.k11_conlat_1 A))) (or (tptp.v3_conlat_1 A) (not (tptp.l2_conlat_1 A)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v3_lattices _let_1) (tptp.v4_lattices _let_1) (tptp.v5_lattices _let_1) (tptp.v6_lattices _let_1) (tptp.v7_lattices _let_1) (tptp.v8_lattices _let_1) (tptp.v9_lattices _let_1) (tptp.v10_lattices _let_1) (tptp.v13_lattices _let_1) (tptp.v14_lattices _let_1) (tptp.v15_lattices _let_1) (tptp.v4_lattice3 _let_1))))))) (let ((_let_83 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_84 (_let_82))) (let ((_let_85 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_81)) :args ((or _let_52 _let_51 _let_80 (not _let_81)))) _let_66 _let_65 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_83 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.v3_conlat_1 A) true))))) :args _let_84)) _let_83 :args (_let_81 false _let_82)) :args (_let_80 true _let_52 false _let_50 false _let_81)))) (let ((_let_86 (not _let_80))) (let ((_let_87 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_49 0)) :args ((or _let_48 _let_68))) _let_67 :args (_let_48 false _let_49)))) (let ((_let_88 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_72 8)) :args ((or _let_33 (not _let_72)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_77)) :args ((or _let_47 _let_42 _let_76 _let_74 _let_72 (not _let_77)))) _let_87 _let_69 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_80 8)) :args ((or _let_75 _let_86))) _let_85 :args (_let_75 false _let_80)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_80 12)) :args ((or _let_73 _let_86))) _let_85 :args (_let_73 false _let_80)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_79 :args (_let_15 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.k1_lattice2 A)))) :args (_let_78))) _let_79 :args (_let_77 false _let_78)) :args (_let_72 true _let_47 false _let_41 false _let_75 false _let_73 false _let_77)) :args (_let_33 false _let_72)))) (let ((_let_89 (and _let_71 _let_39))) (let ((_let_90 (or _let_47 _let_42 _let_89))) (let ((_let_91 (forall ((A $$unsorted)) (let ((_let_1 (tptp.k1_lattice2 A))) (or (tptp.v3_struct_0 A) (not (tptp.l3_lattices A)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v3_lattices _let_1))))))) (let ((_let_92 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_93 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_89 0)) :args ((or _let_71 (not _let_89)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_90)) :args ((or _let_47 _let_42 _let_89 (not _let_90)))) _let_87 _let_69 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_92 :args (_let_15 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.k1_lattice2 A)))) :args (_let_91))) _let_92 :args (_let_90 false _let_91)) :args (_let_89 true _let_47 false _let_41 false _let_90)) :args (_let_71 false _let_89)))) (let ((_let_94 (tptp.v3_lattices _let_14))) (let ((_let_95 (not _let_30))) (let ((_let_96 (and _let_95 _let_94 _let_26))) (let ((_let_97 (tptp.l2_conlat_1 _let_13))) (let ((_let_98 (not _let_97))) (let ((_let_99 (tptp.v3_conlat_1 _let_13))) (let ((_let_100 (or _let_99 _let_98 _let_96))) (let ((_let_101 (not _let_99))) (let ((_let_102 (and _let_101 (tptp.v4_conlat_1 _let_13) _let_97))) (let ((_let_103 (or _let_52 _let_51 _let_102))) (let ((_let_104 (forall ((A $$unsorted)) (let ((_let_1 (tptp.k7_conlat_2 A))) (or (tptp.v3_conlat_1 A) (not (tptp.l2_conlat_1 A)) (and (not (tptp.v3_conlat_1 _let_1)) (tptp.v4_conlat_1 _let_1) (tptp.l2_conlat_1 _let_1))))))) (let ((_let_105 (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_106 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_103)) :args ((or _let_52 _let_51 _let_102 (not _let_103)))) _let_66 _let_65 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_105 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.k7_conlat_2 A)))) :args (_let_104))) _let_105 :args (_let_103 false _let_104)) :args (_let_102 true _let_52 false _let_50 false _let_103)))) (let ((_let_107 (not _let_102))) (let ((_let_108 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_102 2)) :args ((or _let_97 _let_107))) _let_106 :args (_let_97 false _let_102)))) (let ((_let_109 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_102 0)) :args ((or _let_101 _let_107))) _let_106 :args (_let_101 false _let_102)))) (let ((_let_110 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_100)) :args ((or _let_99 _let_98 _let_96 (not _let_100)))) _let_109 _let_108 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_55 :args (_let_13 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.k11_conlat_1 A)))) :args _let_56)) _let_55 :args (_let_100 false _let_54)) :args (_let_96 true _let_99 false _let_97 false _let_100)))) (let ((_let_111 (not _let_96))) (let ((_let_112 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_96 2)) :args ((or _let_26 _let_111))) _let_110 :args (_let_26 false _let_96)))) (let ((_let_113 (and _let_95 _let_94 (tptp.v4_lattices _let_14) (tptp.v5_lattices _let_14) (tptp.v6_lattices _let_14) (tptp.v7_lattices _let_14) (tptp.v8_lattices _let_14) (tptp.v9_lattices _let_14) _let_28 (tptp.v13_lattices _let_14) (tptp.v14_lattices _let_14) (tptp.v15_lattices _let_14) (tptp.v4_lattice3 _let_14)))) (let ((_let_114 (or _let_99 _let_98 _let_113))) (let ((_let_115 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_113 8)) :args ((or _let_28 (not _let_113)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_114)) :args ((or _let_99 _let_98 _let_113 (not _let_114)))) _let_109 _let_108 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_83 :args (_let_13 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.k11_conlat_1 A)))) :args _let_84)) _let_83 :args (_let_114 false _let_82)) :args (_let_113 true _let_99 false _let_97 false _let_114)) :args (_let_28 false _let_113)))) (let ((_let_116 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_96 0)) :args ((or _let_95 _let_111))) _let_110 :args (_let_95 false _let_96)))) (let ((_let_117 (not _let_24))) (let ((_let_118 (or _let_35 _let_34 _let_32 _let_30 _let_29 _let_27 _let_117 _let_57))) (let ((_let_119 (forall ((A $$unsorted) (B $$unsorted)) (or (tptp.v3_struct_0 A) (not (tptp.v10_lattices A)) (not (tptp.l3_lattices A)) (tptp.v3_struct_0 B) (not (tptp.v10_lattices B)) (not (tptp.l3_lattices B)) (not (tptp.r1_filter_1 A B)) (tptp.r1_filter_1 B A))))) (let ((_let_120 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_121 (not _let_25))) (let ((_let_122 (not _let_22))) (let ((_let_123 (or _let_52 _let_51 _let_18))) (let ((_let_124 (forall ((A $$unsorted)) (or (tptp.v3_conlat_1 A) (not (tptp.l2_conlat_1 A)) (tptp.v3_lattice4 (tptp.k10_conlat_2 A) (tptp.k1_lattice2 (tptp.k11_conlat_1 A)) (tptp.k11_conlat_1 (tptp.k7_conlat_2 A))))))) (let ((_let_125 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_126 (or _let_52 _let_51 _let_20))) (let ((_let_127 (forall ((A $$unsorted)) (or (tptp.v3_conlat_1 A) (not (tptp.l2_conlat_1 A)) (tptp.m1_lattice4 (tptp.k10_conlat_2 A) (tptp.k1_lattice2 (tptp.k11_conlat_1 A)) (tptp.k11_conlat_1 (tptp.k7_conlat_2 A))))))) (let ((_let_128 (EQ_RESOLVE (ASSUME :args (_let_9)) (MACRO_SR_EQ_INTRO :args (_let_9 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_129 (_let_12))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_129) :args (_let_17 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.m1_lattice4 C _let_16 _let_14) false))))) :args _let_129)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_22)) :args ((or _let_21 _let_19 _let_122))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_126)) :args ((or _let_52 _let_51 _let_20 (not _let_126)))) _let_66 _let_65 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_128 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.v3_conlat_1 A) true))))) :args (_let_127))) _let_128 :args (_let_126 false _let_127)) :args (_let_20 true _let_52 false _let_50 false _let_126)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_123)) :args ((or _let_52 _let_51 _let_18 (not _let_123)))) _let_66 _let_65 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_125 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.v3_conlat_1 A) true))))) :args (_let_124))) _let_125 :args (_let_123 false _let_124)) :args (_let_18 true _let_52 false _let_50 false _let_123)) :args (_let_122 false _let_20 false _let_18)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_EQUIV_POS2 :args (_let_25)) (CONG (REFL :args (_let_121)) (REFL :args (_let_24)) (MACRO_SR_PRED_INTRO :args ((= (not _let_23) _let_12))) :args _let_62)) :args ((or _let_24 _let_12 _let_121))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_118)) :args ((or _let_57 _let_30 _let_29 _let_27 _let_35 _let_34 _let_32 _let_117 (not _let_118)))) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_58 2)) _let_64 :args ((not _let_57) true _let_58)) _let_116 _let_115 _let_112 _let_93 _let_88 _let_70 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_120 :args (_let_16 _let_14 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.r1_filter_1 B A) true))))) :args (_let_119))) _let_120 :args (_let_118 false _let_119)) :args (_let_117 true _let_57 true _let_30 false _let_28 false _let_26 true _let_35 false _let_33 false _let_31 false _let_118)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_36)) :args ((or _let_30 _let_29 _let_27 _let_35 _let_34 _let_32 _let_25 (not _let_36)))) _let_116 _let_115 _let_112 _let_93 _let_88 _let_70 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_38 :args (_let_16 _let_14 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.r1_filter_1 A BOUND_VARIABLE_1906)))) :args (_let_37))) _let_38 :args (_let_36 false _let_37)) :args (_let_25 true _let_30 false _let_28 false _let_26 true _let_35 false _let_33 false _let_31 false _let_36)) :args (_let_12 true _let_24 false _let_25)) :args (false true _let_22 false _let_12)) :args (_let_11 (forall ((A $$unsorted)) (=> (tptp.l3_lattices A) (=> (tptp.v3_lattices A) (= A (tptp.g3_lattices (tptp.u1_struct_0 A) (tptp.u2_lattices A) (tptp.u1_lattices A)))))) (forall ((A $$unsorted)) (=> (tptp.l2_conlat_1 A) (=> (tptp.v4_conlat_1 A) (= A (tptp.g2_conlat_1 (tptp.u1_conlat_1 A) (tptp.u2_conlat_1 A) (tptp.u3_conlat_1 A)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.r2_hidden A B) (not (tptp.r2_hidden B A)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.v1_funct_1 C))) (=> (tptp.m1_relset_1 C A B) (=> (and _let_1 (tptp.v1_partfun1 C A B)) (and _let_1 (tptp.v1_funct_2 C A B)))))) (forall ((A $$unsorted)) (let ((_let_1 (not (tptp.v3_struct_0 A)))) (=> (tptp.l3_lattices A) (=> (and _let_1 (tptp.v10_lattices A)) (and _let_1 (tptp.v4_lattices A) (tptp.v5_lattices A) (tptp.v6_lattices A) (tptp.v7_lattices A) (tptp.v8_lattices A) (tptp.v9_lattices A)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.k2_zfmisc_1 A B))) (tptp.v1_relat_1 C))) (forall ((A $$unsorted)) (let ((_let_1 (not (tptp.v3_struct_0 A)))) (=> (tptp.l3_lattices A) (=> (and _let_1 (tptp.v4_lattices A) (tptp.v5_lattices A) (tptp.v6_lattices A) (tptp.v7_lattices A) (tptp.v8_lattices A) (tptp.v9_lattices A)) (and _let_1 (tptp.v10_lattices A)))))) (forall ((A $$unsorted)) (let ((_let_1 (not (tptp.v3_struct_0 A)))) (=> (tptp.l3_lattices A) (=> (and _let_1 (tptp.v13_lattices A) (tptp.v14_lattices A)) (and _let_1 (tptp.v15_lattices A)))))) (forall ((A $$unsorted)) (let ((_let_1 (not (tptp.v3_struct_0 A)))) (=> (tptp.l3_lattices A) (=> (and _let_1 (tptp.v15_lattices A)) (and _let_1 (tptp.v13_lattices A) (tptp.v14_lattices A)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.v1_funct_2 C A B))) (let ((_let_2 (tptp.v1_funct_1 C))) (=> (tptp.m1_relset_1 C A B) (=> (and _let_2 _let_1) (and _let_2 (tptp.v1_partfun1 C A B) _let_1)))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (not (tptp.v1_xboole_0 B))) (forall ((C $$unsorted)) (let ((_let_1 (tptp.v1_funct_2 C A B))) (let ((_let_2 (tptp.v1_funct_1 C))) (=> (tptp.m1_relset_1 C A B) (=> (and _let_2 _let_1) (and _let_2 (not (tptp.v1_xboole_0 C)) (tptp.v1_partfun1 C A B) _let_1)))))))) _let_10 (forall ((A $$unsorted)) (let ((_let_1 (tptp.u2_conlat_1 A))) (let ((_let_2 (tptp.u1_conlat_1 A))) (=> (and (not (tptp.v3_conlat_1 A)) (tptp.l2_conlat_1 A)) (= (tptp.k7_conlat_2 A) (tptp.g2_conlat_1 _let_1 _let_2 (tptp.k6_relset_1 _let_2 _let_1 (tptp.u3_conlat_1 A)))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.g2_conlat_1 A B C))) (=> (tptp.m1_relset_1 C A B) (and (tptp.v4_conlat_1 _let_1) (tptp.l2_conlat_1 _let_1))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.g3_lattices A B C))) (let ((_let_2 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_2 A) (tptp.m1_relset_1 B _let_2 A) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 A) (tptp.m1_relset_1 C _let_2 A)) (and (tptp.v3_lattices _let_1) (tptp.l3_lattices _let_1)))))) _let_9 _let_8 _let_7 true true true (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (tptp.v1_relat_1 (tptp.k4_relat_1 A)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.m1_relset_1 C A B) (tptp.m2_relset_1 (tptp.k6_relset_1 A B C) B A))) _let_6 true (forall ((A $$unsorted)) (=> (tptp.l1_lattices A) (tptp.l1_struct_0 A))) true (forall ((A $$unsorted)) (=> (tptp.l2_conlat_1 A) (tptp.l1_conlat_1 A))) (forall ((A $$unsorted)) (=> (tptp.l2_lattices A) (tptp.l1_struct_0 A))) (forall ((A $$unsorted)) (=> (tptp.l3_lattices A) (and (tptp.l1_lattices A) (tptp.l2_lattices A)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A) (not (tptp.v3_struct_0 B)) (tptp.v10_lattices B) (tptp.l3_lattices B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (tptp.m1_lattice4 C A B) (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.m2_relset_1 C _let_2 _let_1)))))))) true true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.m2_relset_1 C A B) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.k2_zfmisc_1 A B))))) true (forall ((A $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.k2_zfmisc_1 _let_1 _let_1))) (let ((_let_3 (tptp.u1_lattices A))) (=> (tptp.l1_lattices A) (and (tptp.v1_funct_1 _let_3) (tptp.v1_funct_2 _let_3 _let_2 _let_1) (tptp.m2_relset_1 _let_3 _let_2 _let_1))))))) true true (forall ((A $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.k2_zfmisc_1 _let_1 _let_1))) (let ((_let_3 (tptp.u2_lattices A))) (=> (tptp.l2_lattices A) (and (tptp.v1_funct_1 _let_3) (tptp.v1_funct_2 _let_3 _let_2 _let_1) (tptp.m2_relset_1 _let_3 _let_2 _let_1))))))) (forall ((A $$unsorted)) (=> (tptp.l2_conlat_1 A) (tptp.m2_relset_1 (tptp.u3_conlat_1 A) (tptp.u1_conlat_1 A) (tptp.u2_conlat_1 A)))) (exists ((A $$unsorted)) (tptp.l1_conlat_1 A)) (exists ((A $$unsorted)) (tptp.l1_lattices A)) (exists ((A $$unsorted)) (tptp.l1_struct_0 A)) (exists ((A $$unsorted)) (tptp.l2_conlat_1 A)) (exists ((A $$unsorted)) (tptp.l2_lattices A)) (exists ((A $$unsorted)) (tptp.l3_lattices A)) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A) (not (tptp.v3_struct_0 B)) (tptp.v10_lattices B) (tptp.l3_lattices B)) (exists ((C $$unsorted)) (tptp.m1_lattice4 C A B)))) (forall ((A $$unsorted) (B $$unsorted)) (exists ((C $$unsorted)) (tptp.m1_relset_1 C A B))) (forall ((A $$unsorted)) (exists ((B $$unsorted)) (tptp.m1_subset_1 B A))) (forall ((A $$unsorted) (B $$unsorted)) (exists ((C $$unsorted)) (tptp.m2_relset_1 C A B))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_conlat_1 A)) (tptp.l1_conlat_1 A)) (not (tptp.v1_xboole_0 (tptp.u2_conlat_1 A))))) _let_5 _let_4 (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_struct_0 A)) (not (tptp.v1_xboole_0 (tptp.u1_struct_0 A))))) (forall ((A $$unsorted)) (not (tptp.v1_xboole_0 (tptp.k1_zfmisc_1 A)))) (tptp.v1_xboole_0 tptp.k1_xboole_0) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_conlat_1 A)) (tptp.l1_conlat_1 A)) (not (tptp.v1_xboole_0 (tptp.u1_conlat_1 A))))) _let_3 (forall ((A $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.k2_zfmisc_1 _let_1 _let_1))) (let ((_let_3 (tptp.u2_lattices A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_lattices A) (tptp.l2_lattices A)) (and (tptp.v1_relat_1 _let_3) (tptp.v1_funct_1 _let_3) (tptp.v1_funct_2 _let_3 _let_2 _let_1) (tptp.v1_binop_1 _let_3 _let_1) (tptp.v1_partfun1 _let_3 _let_2 _let_1))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.k2_zfmisc_1 _let_1 _let_1))) (let ((_let_3 (tptp.u2_lattices A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v5_lattices A) (tptp.l2_lattices A)) (and (tptp.v1_relat_1 _let_3) (tptp.v1_funct_1 _let_3) (tptp.v1_funct_2 _let_3 _let_2 _let_1) (tptp.v2_binop_1 _let_3 _let_1) (tptp.v1_partfun1 _let_3 _let_2 _let_1))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.g3_lattices A B C))) (let ((_let_2 (tptp.k2_zfmisc_1 A A))) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_2 A) (tptp.m1_relset_1 B _let_2 A) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 A) (tptp.m1_relset_1 C _let_2 A)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v3_lattices _let_1)))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k11_conlat_1 A))) (=> (and (not (tptp.v3_conlat_1 A)) (tptp.l2_conlat_1 A)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v3_lattices _let_1) (tptp.v4_lattices _let_1) (tptp.v5_lattices _let_1) (tptp.v6_lattices _let_1) (tptp.v7_lattices _let_1) (tptp.v8_lattices _let_1) (tptp.v9_lattices _let_1) (tptp.v10_lattices _let_1))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.k2_zfmisc_1 _let_1 _let_1))) (let ((_let_3 (tptp.u1_lattices A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v6_lattices A) (tptp.l1_lattices A)) (and (tptp.v1_relat_1 _let_3) (tptp.v1_funct_1 _let_3) (tptp.v1_funct_2 _let_3 _let_2 _let_1) (tptp.v1_binop_1 _let_3 _let_1) (tptp.v1_partfun1 _let_3 _let_2 _let_1))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (not (tptp.v1_xboole_0 B))) (not (tptp.v1_xboole_0 (tptp.k2_zfmisc_1 A B))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k11_conlat_1 A))) (=> (and (not (tptp.v3_conlat_1 A)) (tptp.l2_conlat_1 A)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v3_lattices _let_1) (tptp.v4_lattices _let_1) (tptp.v5_lattices _let_1) (tptp.v6_lattices _let_1) (tptp.v7_lattices _let_1) (tptp.v8_lattices _let_1) (tptp.v9_lattices _let_1) (tptp.v10_lattices _let_1) (tptp.v4_lattice3 _let_1))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.k2_zfmisc_1 _let_1 _let_1))) (let ((_let_3 (tptp.u1_lattices A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v7_lattices A) (tptp.l1_lattices A)) (and (tptp.v1_relat_1 _let_3) (tptp.v1_funct_1 _let_3) (tptp.v1_funct_2 _let_3 _let_2 _let_1) (tptp.v2_binop_1 _let_3 _let_1) (tptp.v1_partfun1 _let_3 _let_2 _let_1))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k1_lattice2 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v3_lattices _let_1) (tptp.v4_lattices _let_1) (tptp.v5_lattices _let_1) (tptp.v6_lattices _let_1) (tptp.v7_lattices _let_1) (tptp.v8_lattices _let_1) (tptp.v9_lattices _let_1) (tptp.v10_lattices _let_1))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.m1_relset_1 C A B) (forall ((D $$unsorted) (E $$unsorted) (F $$unsorted)) (=> (= (tptp.g2_conlat_1 A B C) (tptp.g2_conlat_1 D E F)) (and (= A D) (= B E) (= C F)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_1 A) (tptp.m1_relset_1 B _let_1 A) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_1 A) (tptp.m1_relset_1 C _let_1 A)) (forall ((D $$unsorted) (E $$unsorted) (F $$unsorted)) (=> (= (tptp.g3_lattices A B C) (tptp.g3_lattices D E F)) (and (= A D) (= B E) (= C F))))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (= (tptp.k4_relat_1 (tptp.k4_relat_1 A)) A))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.m1_relset_1 C A B) (= (tptp.k6_relset_1 A B (tptp.k6_relset_1 A B C)) C))) (exists ((A $$unsorted)) (and (tptp.l3_lattices A) (not (tptp.v3_struct_0 A)) (tptp.v3_lattices A) (tptp.v4_lattices A) (tptp.v5_lattices A) (tptp.v6_lattices A) (tptp.v7_lattices A) (tptp.v8_lattices A) (tptp.v9_lattices A) (tptp.v10_lattices A) (tptp.v13_lattices A) (tptp.v14_lattices A) (tptp.v15_lattices A))) (forall ((A $$unsorted) (B $$unsorted)) (exists ((C $$unsorted)) (and (tptp.m1_relset_1 C A B) (tptp.v1_relat_1 C) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C A B)))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (exists ((B $$unsorted)) (and (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (not (tptp.v1_xboole_0 B)))))) (exists ((A $$unsorted)) (tptp.v1_xboole_0 A)) (forall ((A $$unsorted) (B $$unsorted)) (exists ((C $$unsorted)) (and (tptp.m1_relset_1 C A B) (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)))) (forall ((A $$unsorted)) (exists ((B $$unsorted)) (and (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (tptp.v1_xboole_0 B)))) (exists ((A $$unsorted)) (not (tptp.v1_xboole_0 A))) (exists ((A $$unsorted)) (and (tptp.l3_lattices A) (tptp.v3_lattices A))) (exists ((A $$unsorted)) (and (tptp.l1_struct_0 A) (not (tptp.v3_struct_0 A)))) (exists ((A $$unsorted)) (and (tptp.l2_conlat_1 A) (tptp.v4_conlat_1 A))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_struct_0 A)) (exists ((B $$unsorted)) (and (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (not (tptp.v1_xboole_0 B)))))) (exists ((A $$unsorted)) (and (tptp.l3_lattices A) (not (tptp.v3_struct_0 A)) (tptp.v3_lattices A))) (exists ((A $$unsorted)) (and (tptp.l2_conlat_1 A) (not (tptp.v3_conlat_1 A)) (tptp.v4_conlat_1 A))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_conlat_1 A)) (tptp.l1_conlat_1 A)) (exists ((B $$unsorted)) (and (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_conlat_1 A))) (not (tptp.v1_xboole_0 B)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_conlat_1 A)) (tptp.l1_conlat_1 A)) (exists ((B $$unsorted)) (and (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u2_conlat_1 A))) (not (tptp.v1_xboole_0 B)))))) (exists ((A $$unsorted)) (and (tptp.l3_lattices A) (not (tptp.v3_struct_0 A)) (tptp.v3_lattices A) (tptp.v4_lattices A) (tptp.v5_lattices A) (tptp.v6_lattices A) (tptp.v7_lattices A) (tptp.v8_lattices A) (tptp.v9_lattices A) (tptp.v10_lattices A))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.m1_relset_1 C A B) (= (tptp.k6_relset_1 A B C) (tptp.k4_relat_1 C)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.m2_relset_1 C A B) (tptp.m1_relset_1 C A B))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A) (not (tptp.v3_struct_0 B)) (tptp.v10_lattices B) (tptp.l3_lattices B)) (tptp.r1_filter_1 A A))) (forall ((A $$unsorted) (B $$unsorted)) (tptp.r1_tarski A A)) _let_2 (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.r2_hidden A B) (tptp.m1_subset_1 A B))) _let_1 (forall ((A $$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))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.73/0.92 )
% 0.73/0.92 % SZS output end Proof for LAT346+1
% 0.73/0.92 % cvc5---1.0.5 exiting
% 0.73/0.92 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------