TSTP Solution File: LAT295+1 by cvc5---1.0.5
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : LAT295+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n012.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 06:03:43 EDT 2023
% Result : Theorem 10.49s 10.98s
% Output : Proof 10.49s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : LAT295+1 : TPTP v8.1.2. Released v3.4.0.
% 0.00/0.14 % Command : do_cvc5 %s %d
% 0.14/0.35 % Computer : n012.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 07:56:11 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.21/0.50 %----Proving TF0_NAR, FOF, or CNF
% 10.49/10.98 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.lwfXKQ8PsC/cvc5---1.0.5_9241.p...
% 10.49/10.98 ------- get file name : TPTP file name is LAT295+1
% 10.49/10.98 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_9241.smt2...
% 10.49/10.98 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 10.49/10.98 --- Run --no-e-matching --full-saturate-quant at 5...
% 10.49/10.98 % SZS status Theorem for LAT295+1
% 10.49/10.98 % SZS output start Proof for LAT295+1
% 10.49/10.98 (
% 10.49/10.98 (let ((_let_1 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.m2_relset_1 C A B) (tptp.m1_relset_1 C A B))))) (let ((_let_2 (forall ((A $$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 $$unsorted)) (=> (= (tptp.g3_lattices A B C) (tptp.g3_lattices D E F)) (and (= A D) (= B E) (= C F))))))))) (let ((_let_3 (forall ((A $$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))) (=> (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))))))))) (let ((_let_4 (forall ((A $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.k2_zfmisc_1 _let_1 _let_1))) (let ((_let_3 (tptp.u1_lattices A))) (=> (tptp.l1_lattices A) (and (tptp.v1_funct_1 _let_3) (tptp.v1_funct_2 _let_3 _let_2 _let_1) (tptp.m2_relset_1 _let_3 _let_2 _let_1))))))))) (let ((_let_5 (forall ((A $$unsorted)) (=> (tptp.l3_lattices A) (and (tptp.l1_lattices A) (tptp.l2_lattices A)))))) (let ((_let_6 (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l2_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (tptp.r1_lattices A B C) (= (tptp.k1_lattices A B C) C)))))))))) (let ((_let_7 (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 C _let_1) (= (tptp.k2_lattices A B C) (tptp.k2_binop_1 _let_1 _let_1 _let_1 (tptp.u1_lattices A) B C))))))))))) (let ((_let_8 (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l2_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 C _let_1) (= (tptp.k1_lattices A B C) (tptp.k2_binop_1 _let_1 _let_1 _let_1 (tptp.u2_lattices A) B C))))))))))) (let ((_let_9 (not (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.l3_lattices B)) (=> (= (tptp.g3_lattices (tptp.u1_struct_0 A) (tptp.u2_lattices A) (tptp.u1_lattices A)) (tptp.g3_lattices (tptp.u1_struct_0 B) (tptp.u2_lattices B) (tptp.u1_lattices B))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.u1_struct_0 B)) (forall ((F $$unsorted)) (let ((_let_1 (tptp.r1_lattices A C D))) (let ((_let_2 (tptp.r1_lattices B E F))) (=> (tptp.m1_subset_1 F (tptp.u1_struct_0 B)) (=> (and (= C E) (= D F)) (and (= (tptp.k1_lattices A C D) (tptp.k1_lattices B E F)) (= (tptp.k2_lattices A C D) (tptp.k2_lattices B E F)) (=> _let_1 _let_2) (=> _let_2 _let_1))))))))))))))))))))) (let ((_let_10 (tptp.u2_lattices SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_11 (tptp.u1_struct_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_12 (tptp.k1_lattices SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_13 (= _let_12 (tptp.k2_binop_1 _let_11 _let_11 _let_11 _let_10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4)))) (let ((_let_14 (tptp.u1_struct_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_15 (= _let_14 _let_11))) (let ((_let_16 (tptp.u2_lattices SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_17 (= _let_16 _let_10))) (let ((_let_18 (tptp.k1_lattices SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_19 (= _let_18 (tptp.k2_binop_1 _let_14 _let_14 _let_14 _let_16 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4)))) (let ((_let_20 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_18))) (let ((_let_21 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_12))) (let ((_let_22 (tptp.m1_subset_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_11))) (let ((_let_23 (not _let_22))) (let ((_let_24 (tptp.m1_subset_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_11))) (let ((_let_25 (not _let_24))) (let ((_let_26 (tptp.l2_lattices SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_27 (not _let_26))) (let ((_let_28 (tptp.v3_struct_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_29 (or _let_28 _let_27 _let_25 _let_23 _let_13))) (let ((_let_30 (forall ((A $$unsorted) (BOUND_VARIABLE_1573 $$unsorted) (BOUND_VARIABLE_1571 $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (or (tptp.v3_struct_0 A) (not (tptp.l2_lattices A)) (not (tptp.m1_subset_1 BOUND_VARIABLE_1571 _let_1)) (not (tptp.m1_subset_1 BOUND_VARIABLE_1573 _let_1)) (= (tptp.k1_lattices A BOUND_VARIABLE_1571 BOUND_VARIABLE_1573) (tptp.k2_binop_1 _let_1 _let_1 _let_1 (tptp.u2_lattices A) BOUND_VARIABLE_1571 BOUND_VARIABLE_1573))))))) (let ((_let_31 (EQ_RESOLVE (ASSUME :args (_let_8)) (MACRO_SR_EQ_INTRO :args (_let_8 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_32 (_let_30))) (let ((_let_33 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_CBQI_CONFLICT))) (let ((_let_34 (tptp.l1_lattices SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_35 (and _let_34 _let_26))) (let ((_let_36 (tptp.l3_lattices SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_37 (not _let_36))) (let ((_let_38 (or _let_37 _let_35))) (let ((_let_39 (forall ((A $$unsorted)) (or (not (tptp.l3_lattices A)) (and (tptp.l1_lattices A) (tptp.l2_lattices A)))))) (let ((_let_40 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_41 (_let_39))) (let ((_let_42 (tptp.r1_lattices SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_43 (tptp.r1_lattices SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_44 (not _let_43))) (let ((_let_45 (or _let_44 _let_42))) (let ((_let_46 (not _let_42))) (let ((_let_47 (or _let_46 _let_43))) (let ((_let_48 (tptp.k2_lattices SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_49 (tptp.k2_lattices SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_50 (= _let_49 _let_48))) (let ((_let_51 (= _let_18 _let_12))) (let ((_let_52 (and _let_51 _let_50 _let_47 _let_45))) (let ((_let_53 (tptp.m1_subset_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_14))) (let ((_let_54 (not _let_53))) (let ((_let_55 (tptp.m1_subset_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_14))) (let ((_let_56 (not _let_55))) (let ((_let_57 (tptp.u1_lattices SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_58 (tptp.u1_lattices SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_59 (= (tptp.g3_lattices _let_14 _let_16 _let_58) (tptp.g3_lattices _let_11 _let_10 _let_57)))) (let ((_let_60 (not _let_59))) (let ((_let_61 (tptp.l3_lattices SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_62 (not _let_61))) (let ((_let_63 (tptp.v3_struct_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_64 (or _let_63 _let_62 _let_28 _let_37 _let_60 _let_56 _let_25 _let_54 _let_23 _let_52))) (let ((_let_65 (forall ((A $$unsorted) (BOUND_VARIABLE_1456 $$unsorted) (BOUND_VARIABLE_1454 $$unsorted) (BOUND_VARIABLE_1452 $$unsorted)) (let ((_let_1 (tptp.r1_lattices A BOUND_VARIABLE_1456 BOUND_VARIABLE_1454))) (let ((_let_2 (tptp.r1_lattices BOUND_VARIABLE_1452 BOUND_VARIABLE_1456 BOUND_VARIABLE_1454))) (let ((_let_3 (tptp.u1_struct_0 BOUND_VARIABLE_1452))) (let ((_let_4 (tptp.u1_struct_0 A))) (or (tptp.v3_struct_0 A) (not (tptp.l3_lattices A)) (tptp.v3_struct_0 BOUND_VARIABLE_1452) (not (tptp.l3_lattices BOUND_VARIABLE_1452)) (not (= (tptp.g3_lattices _let_4 (tptp.u2_lattices A) (tptp.u1_lattices A)) (tptp.g3_lattices _let_3 (tptp.u2_lattices BOUND_VARIABLE_1452) (tptp.u1_lattices BOUND_VARIABLE_1452)))) (not (tptp.m1_subset_1 BOUND_VARIABLE_1456 _let_4)) (not (tptp.m1_subset_1 BOUND_VARIABLE_1456 _let_3)) (not (tptp.m1_subset_1 BOUND_VARIABLE_1454 _let_4)) (not (tptp.m1_subset_1 BOUND_VARIABLE_1454 _let_3)) (and (= (tptp.k1_lattices A BOUND_VARIABLE_1456 BOUND_VARIABLE_1454) (tptp.k1_lattices BOUND_VARIABLE_1452 BOUND_VARIABLE_1456 BOUND_VARIABLE_1454)) (= (tptp.k2_lattices A BOUND_VARIABLE_1456 BOUND_VARIABLE_1454) (tptp.k2_lattices BOUND_VARIABLE_1452 BOUND_VARIABLE_1456 BOUND_VARIABLE_1454)) (or (not _let_1) _let_2) (or (not _let_2) _let_1)))))))))) (let ((_let_66 (not _let_64))) (let ((_let_67 (EQ_RESOLVE (ASSUME :args (_let_9)) (MACRO_SR_EQ_INTRO :args (_let_9 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_68 (or))) (let ((_let_69 (not _let_65))) (let ((_let_70 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_67) :args (_let_69))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_69) _let_65))) (REFL :args (_let_66)) :args _let_68)) _let_67 :args (_let_66 true _let_65)))) (let ((_let_71 (REFL :args (_let_64)))) (let ((_let_72 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_38)) :args ((or _let_37 _let_35 (not _let_38)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_64 3)) (CONG _let_71 (MACRO_SR_PRED_INTRO :args ((= (not _let_37) _let_36))) :args _let_68)) :args ((or _let_36 _let_64))) _let_70 :args (_let_36 true _let_64)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_40 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_ENUM)) :args _let_41)) _let_40 :args (_let_38 false _let_39)) :args (_let_35 false _let_36 false _let_38)))) (let ((_let_73 (not _let_35))) (let ((_let_74 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_35 1)) :args ((or _let_26 _let_73))) _let_72 :args (_let_26 false _let_35)))) (let ((_let_75 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_64 8)) (CONG _let_71 (MACRO_SR_PRED_INTRO :args ((= (not _let_23) _let_22))) :args _let_68)) :args ((or _let_22 _let_64))) _let_70 :args (_let_22 true _let_64)))) (let ((_let_76 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_64 6)) (CONG _let_71 (MACRO_SR_PRED_INTRO :args ((= (not _let_25) _let_24))) :args _let_68)) :args ((or _let_24 _let_64))) _let_70 :args (_let_24 true _let_64)))) (let ((_let_77 (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_64 2)) _let_70 :args ((not _let_28) true _let_64)))) (let ((_let_78 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_29)) :args ((or _let_28 _let_25 _let_23 _let_27 _let_13 (not _let_29)))) _let_77 _let_76 _let_75 _let_74 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_31 :args _let_33) :args _let_32)) _let_31 :args (_let_29 false _let_30)) :args (_let_13 true _let_28 false _let_24 false _let_22 false _let_26 false _let_29)))) (let ((_let_79 (= _let_58 _let_57))) (let ((_let_80 (and _let_15 _let_17 _let_79))) (let ((_let_81 (tptp.k2_zfmisc_1 _let_14 _let_14))) (let ((_let_82 (tptp.m1_relset_1 _let_58 _let_81 _let_14))) (let ((_let_83 (not _let_82))) (let ((_let_84 (tptp.v1_funct_2 _let_58 _let_81 _let_14))) (let ((_let_85 (not _let_84))) (let ((_let_86 (tptp.v1_funct_1 _let_58))) (let ((_let_87 (not _let_86))) (let ((_let_88 (tptp.m1_relset_1 _let_16 _let_81 _let_14))) (let ((_let_89 (not _let_88))) (let ((_let_90 (tptp.v1_funct_2 _let_16 _let_81 _let_14))) (let ((_let_91 (not _let_90))) (let ((_let_92 (tptp.v1_funct_1 _let_16))) (let ((_let_93 (not _let_92))) (let ((_let_94 (or _let_93 _let_91 _let_89 _let_87 _let_85 _let_83 _let_60 _let_80))) (let ((_let_95 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (BOUND_VARIABLE_1841 $$unsorted) (BOUND_VARIABLE_1839 $$unsorted) (BOUND_VARIABLE_1837 $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A A))) (or (not (tptp.v1_funct_1 B)) (not (tptp.v1_funct_2 B _let_1 A)) (not (tptp.m1_relset_1 B _let_1 A)) (not (tptp.v1_funct_1 C)) (not (tptp.v1_funct_2 C _let_1 A)) (not (tptp.m1_relset_1 C _let_1 A)) (not (= (tptp.g3_lattices A B C) (tptp.g3_lattices BOUND_VARIABLE_1837 BOUND_VARIABLE_1839 BOUND_VARIABLE_1841))) (and (= A BOUND_VARIABLE_1837) (= B BOUND_VARIABLE_1839) (= C BOUND_VARIABLE_1841))))))) (let ((_let_96 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_97 (tptp.m2_relset_1 _let_58 _let_81 _let_14))) (let ((_let_98 (= _let_97 _let_82))) (let ((_let_99 (_let_1))) (let ((_let_100 (ASSUME :args _let_99))) (let ((_let_101 (and _let_86 _let_84 _let_97))) (let ((_let_102 (tptp.l1_lattices SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_103 (not _let_102))) (let ((_let_104 (or _let_103 _let_101))) (let ((_let_105 (forall ((A $$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))) (or (not (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))))))))) (let ((_let_106 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_107 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_ENUM))) (let ((_let_108 (tptp.l2_lattices SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_109 (and _let_102 _let_108))) (let ((_let_110 (or _let_62 _let_109))) (let ((_let_111 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_110)) :args ((or _let_62 _let_109 (not _let_110)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_64 1)) (CONG _let_71 (MACRO_SR_PRED_INTRO :args ((= (not _let_62) _let_61))) :args _let_68)) :args ((or _let_61 _let_64))) _let_70 :args (_let_61 true _let_64)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_40 :args _let_107) :args _let_41)) _let_40 :args (_let_110 false _let_39)) :args (_let_109 false _let_61 false _let_110)))) (let ((_let_112 (not _let_109))) (let ((_let_113 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_109 0)) :args ((or _let_102 _let_112))) _let_111 :args (_let_102 false _let_109)))) (let ((_let_114 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_104)) :args ((or _let_103 _let_101 (not _let_104)))) _let_113 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_106 :args _let_107) :args (_let_105))) _let_106 :args (_let_104 false _let_105)) :args (_let_101 false _let_102 false _let_104)))) (let ((_let_115 (not _let_101))) (let ((_let_116 (tptp.m2_relset_1 _let_16 _let_81 _let_14))) (let ((_let_117 (= _let_116 _let_88))) (let ((_let_118 (and _let_92 _let_90 _let_116))) (let ((_let_119 (not _let_108))) (let ((_let_120 (or _let_119 _let_118))) (let ((_let_121 (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))) (or (not (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))))))))) (let ((_let_122 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_123 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_109 1)) :args ((or _let_108 _let_112))) _let_111 :args (_let_108 false _let_109)))) (let ((_let_124 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_120)) :args ((or _let_119 _let_118 (not _let_120)))) _let_123 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_122 :args _let_107) :args (_let_121))) _let_122 :args (_let_120 false _let_121)) :args (_let_118 false _let_108 false _let_120)))) (let ((_let_125 (not _let_118))) (let ((_let_126 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_94)) :args ((or _let_60 _let_87 _let_85 _let_93 _let_91 _let_89 _let_83 _let_80 (not _let_94)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_64 4)) (CONG _let_71 (MACRO_SR_PRED_INTRO :args ((= (not _let_60) _let_59))) :args _let_68)) :args ((or _let_59 _let_64))) _let_70 :args (_let_59 true _let_64)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_101 0)) :args ((or _let_86 _let_115))) _let_114 :args (_let_86 false _let_101)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_101 1)) :args ((or _let_84 _let_115))) _let_114 :args (_let_84 false _let_101)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_118 0)) :args ((or _let_92 _let_125))) _let_124 :args (_let_92 false _let_118)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_118 1)) :args ((or _let_90 _let_125))) _let_124 :args (_let_90 false _let_118)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_117)) :args ((or (not _let_116) _let_88 (not _let_117)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_118 2)) :args ((or _let_116 _let_125))) _let_124 :args (_let_116 false _let_118)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_100 :args (_let_81 _let_14 _let_16 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_99)) _let_100 :args (_let_117 false _let_1)) :args (_let_88 false _let_116 false _let_117)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_98)) :args ((or (not _let_97) _let_82 (not _let_98)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_101 2)) :args ((or _let_97 _let_115))) _let_114 :args (_let_97 false _let_101)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_100 :args (_let_81 _let_14 _let_58 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_99)) _let_100 :args (_let_98 false _let_1)) :args (_let_82 false _let_97 false _let_98)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_96 :args (_let_14 _let_16 _let_58 _let_57 _let_10 _let_11 QUANTIFIERS_INST_CBQI_CONFLICT)) :args (_let_95))) _let_96 :args (_let_94 false _let_95)) :args (_let_80 false _let_59 false _let_86 false _let_84 false _let_92 false _let_90 false _let_88 false _let_82 false _let_94)))) (let ((_let_127 (not _let_80))) (let ((_let_128 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_80 0)) :args ((or _let_15 _let_127))) _let_126 :args (_let_15 false _let_80)))) (let ((_let_129 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_80 1)) :args ((or _let_17 _let_127))) _let_126 :args (_let_17 false _let_80)))) (let ((_let_130 (or _let_63 _let_119 _let_56 _let_54 _let_19))) (let ((_let_131 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_CBQI_CONFLICT))) (let ((_let_132 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_64 7)) (CONG _let_71 (MACRO_SR_PRED_INTRO :args ((= (not _let_54) _let_53))) :args _let_68)) :args ((or _let_53 _let_64))) _let_70 :args (_let_53 true _let_64)))) (let ((_let_133 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_64 5)) (CONG _let_71 (MACRO_SR_PRED_INTRO :args ((= (not _let_56) _let_55))) :args _let_68)) :args ((or _let_55 _let_64))) _let_70 :args (_let_55 true _let_64)))) (let ((_let_134 (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_64 0)) _let_70 :args ((not _let_63) true _let_64)))) (let ((_let_135 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_130)) :args ((or _let_63 _let_56 _let_54 _let_119 _let_19 (not _let_130)))) _let_134 _let_133 _let_132 _let_123 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_31 :args _let_131) :args _let_32)) _let_31 :args (_let_130 false _let_30)) :args (_let_19 true _let_63 false _let_55 false _let_53 false _let_108 false _let_130)))) (let ((_let_136 (= _let_42 _let_20))) (let ((_let_137 (not _let_20))) (let ((_let_138 (or _let_63 _let_119 _let_56 _let_54 _let_136))) (let ((_let_139 (forall ((A $$unsorted) (BOUND_VARIABLE_1670 $$unsorted) (BOUND_VARIABLE_1668 $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (or (tptp.v3_struct_0 A) (not (tptp.l2_lattices A)) (not (tptp.m1_subset_1 BOUND_VARIABLE_1668 _let_1)) (not (tptp.m1_subset_1 BOUND_VARIABLE_1670 _let_1)) (= (tptp.r1_lattices A BOUND_VARIABLE_1668 BOUND_VARIABLE_1670) (= BOUND_VARIABLE_1670 (tptp.k1_lattices A BOUND_VARIABLE_1668 BOUND_VARIABLE_1670)))))))) (let ((_let_140 (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_141 (_let_139))) (let ((_let_142 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_138)) :args ((or _let_63 _let_56 _let_54 _let_119 _let_136 (not _let_138)))) _let_134 _let_133 _let_132 _let_123 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_140 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_CBQI_PROP)) :args _let_141)) _let_140 :args (_let_138 false _let_139)) :args (_let_136 true _let_63 false _let_55 false _let_53 false _let_108 false _let_138)))) (let ((_let_143 (= _let_43 _let_21))) (let ((_let_144 (not _let_136))) (let ((_let_145 (_let_136))) (let ((_let_146 (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_64 9)) _let_70 :args ((not _let_52) true _let_64)))) (let ((_let_147 (= _let_49 (tptp.k2_binop_1 _let_14 _let_14 _let_14 _let_58 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4)))) (let ((_let_148 (= _let_48 (tptp.k2_binop_1 _let_11 _let_11 _let_11 _let_57 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4)))) (let ((_let_149 (or _let_63 _let_103 _let_56 _let_54 _let_147))) (let ((_let_150 (forall ((A $$unsorted) (BOUND_VARIABLE_1619 $$unsorted) (BOUND_VARIABLE_1617 $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (or (tptp.v3_struct_0 A) (not (tptp.l1_lattices A)) (not (tptp.m1_subset_1 BOUND_VARIABLE_1617 _let_1)) (not (tptp.m1_subset_1 BOUND_VARIABLE_1619 _let_1)) (= (tptp.k2_lattices A BOUND_VARIABLE_1617 BOUND_VARIABLE_1619) (tptp.k2_binop_1 _let_1 _let_1 _let_1 (tptp.u1_lattices A) BOUND_VARIABLE_1617 BOUND_VARIABLE_1619))))))) (let ((_let_151 (EQ_RESOLVE (ASSUME :args (_let_7)) (MACRO_SR_EQ_INTRO :args (_let_7 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_152 (_let_150))) (let ((_let_153 (not _let_34))) (let ((_let_154 (or _let_28 _let_153 _let_25 _let_23 _let_148))) (let ((_let_155 (not _let_15))) (let ((_let_156 (and _let_15 _let_79 _let_148 _let_147))) (let ((_let_157 (ASSUME :args (_let_148)))) (let ((_let_158 (APPLY_UF tptp.k2_binop_1))) (let ((_let_159 (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4)))) (let ((_let_160 (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)))) (let ((_let_161 (ASSUME :args (_let_79)))) (let ((_let_162 (ASSUME :args (_let_15)))) (let ((_let_163 (SYMM (SYMM _let_162)))) (let ((_let_164 (ASSUME :args (_let_147)))) (let ((_let_165 (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_156)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_157 _let_162 _let_161 _let_164) (SCOPE (TRANS (SYMM (SYMM _let_164)) (CONG _let_163 _let_163 _let_163 (SYMM (SYMM _let_161)) _let_160 _let_159 :args _let_158) (SYMM _let_157)) :args (_let_148 _let_15 _let_79 _let_147))) :args (_let_15 _let_79 _let_148 _let_147))) :args (true _let_156)) :args ((or _let_50 _let_155 (not _let_79) (not _let_148) (not _let_147)))) _let_128 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_80 2)) :args ((or _let_79 _let_127))) _let_126 :args (_let_79 false _let_80)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_154)) :args ((or _let_28 _let_25 _let_23 _let_153 _let_148 (not _let_154)))) _let_77 _let_76 _let_75 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_35 0)) :args ((or _let_34 _let_73))) _let_72 :args (_let_34 false _let_35)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_151 :args _let_33) :args _let_152)) _let_151 :args (_let_154 false _let_150)) :args (_let_148 true _let_28 false _let_24 false _let_22 false _let_34 false _let_154)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_149)) :args ((or _let_63 _let_56 _let_54 _let_103 _let_147 (not _let_149)))) _let_134 _let_133 _let_132 _let_113 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_151 :args _let_131) :args _let_152)) _let_151 :args (_let_149 false _let_150)) :args (_let_147 true _let_63 false _let_55 false _let_53 false _let_102 false _let_149)) :args (_let_50 false _let_15 false _let_79 false _let_148 false _let_147)))) (let ((_let_166 (not _let_19))) (let ((_let_167 (not _let_17))) (let ((_let_168 (not _let_13))) (let ((_let_169 (and _let_15 _let_13 _let_17 _let_19))) (let ((_let_170 (ASSUME :args (_let_13)))) (let ((_let_171 (ASSUME :args (_let_17)))) (let ((_let_172 (ASSUME :args (_let_19)))) (let ((_let_173 (MODUS_PONENS (AND_INTRO _let_170 _let_162 _let_171 _let_172) (SCOPE (TRANS (SYMM (SYMM _let_172)) (CONG _let_163 _let_163 _let_163 (SYMM (SYMM _let_171)) _let_160 _let_159 :args _let_158) (SYMM _let_170)) :args (_let_13 _let_15 _let_17 _let_19))))) (let ((_let_174 (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_169)) (IMPLIES_ELIM (SCOPE _let_173 :args (_let_15 _let_13 _let_17 _let_19))) :args (true _let_169)) :args ((or _let_51 _let_155 _let_168 _let_167 _let_166))) _let_128 _let_78 _let_129 _let_135 :args (_let_51 false _let_15 false _let_13 false _let_17 false _let_19)))) (let ((_let_175 (CNF_AND_NEG :args (_let_52)))) (let ((_let_176 (or _let_28 _let_27 _let_25 _let_23 _let_143))) (let ((_let_177 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_176)) :args ((or _let_28 _let_25 _let_23 _let_27 _let_143 (not _let_176)))) _let_77 _let_76 _let_75 _let_74 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_140 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_CBQI_PROP)) :args _let_141)) _let_140 :args (_let_176 false _let_139)) :args (_let_143 true _let_28 false _let_24 false _let_22 false _let_26 false _let_176)))) (let ((_let_178 (not _let_143))) (let ((_let_179 (not _let_21))) (let ((_let_180 (_let_143))) (let ((_let_181 (and _let_20 _let_15 _let_13 _let_17 _let_19))) (let ((_let_182 (SYMM (ASSUME :args (_let_51))))) (let ((_let_183 (ASSUME :args (_let_20)))) (let ((_let_184 (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_181)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_173 _let_183) (SCOPE (TRANS (SYMM (SYMM _let_183)) (SYMM _let_182)) :args (_let_51 _let_20))) :args (_let_20 _let_15 _let_13 _let_17 _let_19))) :args (true _let_181)) :args ((or _let_137 _let_21 _let_155 _let_168 _let_167 _let_166))) _let_135 _let_129 _let_128 _let_78 (REORDERING (CNF_EQUIV_POS2 :args _let_180) :args ((or _let_43 _let_179 _let_178))) _let_177 (CNF_OR_NEG :args (_let_47 1)) _let_175 _let_174 _let_165 _let_146 (REORDERING (CNF_EQUIV_POS1 :args _let_145) :args ((or _let_46 _let_20 _let_144))) _let_142 (REORDERING (CNF_OR_NEG :args (_let_45 1)) :args ((or _let_46 _let_45))) :args (_let_46 false _let_19 false _let_17 false _let_15 false _let_13 true _let_21 false _let_143 true _let_43 true _let_47 false _let_51 false _let_50 true _let_52 false _let_20 false _let_136 false _let_45)))) (let ((_let_185 (and _let_137 _let_15 _let_13 _let_17 _let_19))) (let ((_let_186 (ASSUME :args (_let_137)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_185)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_186 _let_173) (SCOPE (FALSE_ELIM (TRANS (CONG _let_159 _let_182 :args (=)) (FALSE_INTRO _let_186))) :args (_let_137 _let_51))) :args (_let_137 _let_15 _let_13 _let_17 _let_19))) :args (true _let_185)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_137) _let_20))) (REFL :args (_let_155)) (REFL :args (_let_168)) (REFL :args (_let_167)) (REFL :args (_let_166)) (REFL :args (_let_179)) :args _let_68)) :args ((or _let_20 _let_179 _let_155 _let_168 _let_167 _let_166))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args _let_180) :args ((or _let_44 _let_21 _let_178))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_45 0)) (CONG (REFL :args (_let_45)) (MACRO_SR_PRED_INTRO :args ((= (not _let_44) _let_43))) :args _let_68)) :args ((or _let_43 _let_45))) (MACRO_RESOLUTION_TRUST _let_175 _let_146 _let_174 _let_165 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_47 0)) (CONG (REFL :args (_let_47)) (MACRO_SR_PRED_INTRO :args ((= (not _let_46) _let_42))) :args _let_68)) :args ((or _let_42 _let_47))) _let_184 :args (_let_47 true _let_42)) :args ((not _let_45) true _let_52 false _let_51 false _let_50 false _let_47)) :args (_let_43 true _let_45)) _let_177 :args (_let_21 false _let_43 false _let_143)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args _let_145) :args ((or _let_42 _let_137 _let_144))) _let_184 _let_142 :args (_let_137 true _let_42 false _let_136)) _let_135 _let_129 _let_128 _let_78 :args (false false _let_21 true _let_20 false _let_19 false _let_17 false _let_15 false _let_13)) :args (_let_9 (forall ((A $$unsorted)) (=> (tptp.l3_lattices A) (=> (tptp.v3_lattices A) (= A (tptp.g3_lattices (tptp.u1_struct_0 A) (tptp.u2_lattices A) (tptp.u1_lattices A)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.r2_hidden A B) (not (tptp.r2_hidden B A)))) (forall ((A $$unsorted)) (=> (tptp.v1_xboole_0 A) (tptp.v1_funct_1 A))) (forall ((A $$unsorted)) (=> (not (tptp.v1_realset1 A)) (not (tptp.v1_xboole_0 A)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.k2_zfmisc_1 A B))) (tptp.v1_relat_1 C))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.v1_funct_1 A))) (let ((_let_2 (tptp.v1_relat_1 A))) (=> (and _let_2 (tptp.v1_xboole_0 A) _let_1) (and _let_2 _let_1 (tptp.v2_funct_1 A)))))) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.k2_tarski A B) (tptp.k2_tarski B A))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted) (C $$unsorted)) (= (tptp.k1_binop_1 A B C) (tptp.k1_funct_1 A (tptp.k4_tarski B C)))))) _let_8 _let_7 _let_6 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.k4_tarski A B) (tptp.k2_tarski (tptp.k2_tarski A B) (tptp.k1_tarski A)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.g3_lattices A B C))) (let ((_let_2 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_2 A) (tptp.m1_relset_1 B _let_2 A) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 A) (tptp.m1_relset_1 C _let_2 A)) (and (tptp.v3_lattices _let_1) (tptp.l3_lattices _let_1)))))) true true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l2_lattices A) (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (tptp.m1_subset_1 (tptp.k1_lattices A B C) _let_1)))) true true true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A B))) (=> (and (not (tptp.v1_xboole_0 A)) (not (tptp.v1_xboole_0 B)) (tptp.v1_funct_1 D) (tptp.v1_funct_2 D _let_1 C) (tptp.m1_relset_1 D _let_1 C) (tptp.m1_subset_1 E A) (tptp.m1_subset_1 F B)) (tptp.m1_subset_1 (tptp.k2_binop_1 A B C D E F) C)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_lattices A) (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (tptp.m1_subset_1 (tptp.k2_lattices A B C) _let_1)))) true true true (forall ((A $$unsorted)) (=> (tptp.l1_lattices A) (tptp.l1_struct_0 A))) true (forall ((A $$unsorted)) (=> (tptp.l2_lattices A) (tptp.l1_struct_0 A))) _let_5 true true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.m2_relset_1 C A B) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.k2_zfmisc_1 A B))))) _let_4 true _let_3 (exists ((A $$unsorted)) (tptp.l1_lattices A)) (exists ((A $$unsorted)) (tptp.l1_struct_0 A)) (exists ((A $$unsorted)) (tptp.l2_lattices A)) (exists ((A $$unsorted)) (tptp.l3_lattices A)) (forall ((A $$unsorted) (B $$unsorted)) (exists ((C $$unsorted)) (tptp.m1_relset_1 C A B))) (forall ((A $$unsorted)) (exists ((B $$unsorted)) (tptp.m1_subset_1 B A))) (forall ((A $$unsorted) (B $$unsorted)) (exists ((C $$unsorted)) (tptp.m2_relset_1 C A B))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_struct_0 A)) (not (tptp.v1_xboole_0 (tptp.u1_struct_0 A))))) (forall ((A $$unsorted)) (not (tptp.v1_xboole_0 (tptp.k1_zfmisc_1 A)))) (tptp.v1_xboole_0 tptp.k1_xboole_0) (forall ((A $$unsorted)) (not (tptp.v1_xboole_0 (tptp.k1_tarski A)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.g3_lattices A B C))) (let ((_let_2 (tptp.k2_zfmisc_1 A A))) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_2 A) (tptp.m1_relset_1 B _let_2 A) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 A) (tptp.m1_relset_1 C _let_2 A)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v3_lattices _let_1)))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k1_tarski A))) (and (not (tptp.v1_xboole_0 _let_1)) (tptp.v1_finset_1 _let_1) (tptp.v1_realset1 _let_1)))) (forall ((A $$unsorted) (B $$unsorted)) (not (tptp.v1_xboole_0 (tptp.k2_tarski A B)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (not (tptp.v1_xboole_0 B))) (not (tptp.v1_xboole_0 (tptp.k2_zfmisc_1 A B))))) _let_2 (exists ((A $$unsorted)) (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A))) (exists ((A $$unsorted)) (and (not (tptp.v1_xboole_0 A)) (tptp.v1_realset1 A))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (exists ((B $$unsorted)) (and (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (not (tptp.v1_xboole_0 B)))))) (exists ((A $$unsorted)) (tptp.v1_xboole_0 A)) (exists ((A $$unsorted)) (and (tptp.v1_relat_1 A) (tptp.v1_xboole_0 A) (tptp.v1_funct_1 A))) (exists ((A $$unsorted)) (and (not (tptp.v1_xboole_0 A)) (not (tptp.v1_realset1 A)))) (forall ((A $$unsorted)) (exists ((B $$unsorted)) (and (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (tptp.v1_xboole_0 B)))) (exists ((A $$unsorted)) (not (tptp.v1_xboole_0 A))) (exists ((A $$unsorted)) (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v2_funct_1 A))) (exists ((A $$unsorted)) (and (tptp.l3_lattices A) (tptp.v3_lattices A))) (exists ((A $$unsorted)) (and (tptp.l1_struct_0 A) (not (tptp.v3_struct_0 A)))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_struct_0 A)) (exists ((B $$unsorted)) (and (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (not (tptp.v1_xboole_0 B)))))) (exists ((A $$unsorted)) (and (tptp.l3_lattices A) (not (tptp.v3_struct_0 A)) (tptp.v3_lattices A))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A B))) (=> (and (not (tptp.v1_xboole_0 A)) (not (tptp.v1_xboole_0 B)) (tptp.v1_funct_1 D) (tptp.v1_funct_2 D _let_1 C) (tptp.m1_relset_1 D _let_1 C) (tptp.m1_subset_1 E A) (tptp.m1_subset_1 F B)) (= (tptp.k2_binop_1 A B C D E F) (tptp.k1_binop_1 D E F))))) _let_1 (forall ((A $$unsorted) (B $$unsorted)) (tptp.r1_tarski A A)) (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)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 10.49/10.98 )
% 10.49/10.98 % SZS output end Proof for LAT295+1
% 10.49/10.99 % cvc5---1.0.5 exiting
% 10.49/10.99 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------