TSTP Solution File: LAT340+1 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : LAT340+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n003.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 06:04:12 EDT 2023
% Result : Theorem 272.73s 273.16s
% Output : Proof 272.73s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : LAT340+1 : TPTP v8.1.2. Released v3.4.0.
% 0.12/0.14 % Command : do_cvc5 %s %d
% 0.13/0.35 % Computer : n003.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Thu Aug 24 09:34:07 EDT 2023
% 0.13/0.36 % CPUTime :
% 0.21/0.50 %----Proving TF0_NAR, FOF, or CNF
% 272.73/273.16 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.px8CmWKLME/cvc5---1.0.5_28642.p...
% 272.73/273.16 ------- get file name : TPTP file name is LAT340+1
% 272.73/273.16 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_28642.smt2...
% 272.73/273.16 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 272.73/273.16 --- Run --no-e-matching --full-saturate-quant at 5...
% 272.73/273.16 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 5...
% 272.73/273.16 --- Run --finite-model-find --uf-ss=no-minimal at 5...
% 272.73/273.16 --- Run --multi-trigger-when-single --full-saturate-quant at 5...
% 272.73/273.16 --- Run --trigger-sel=max --full-saturate-quant at 5...
% 272.73/273.16 --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 5...
% 272.73/273.16 --- Run --multi-trigger-cache --full-saturate-quant at 5...
% 272.73/273.16 --- Run --prenex-quant=none --full-saturate-quant at 5...
% 272.73/273.16 --- Run --enum-inst-interleave --decision=internal --full-saturate-quant at 5...
% 272.73/273.16 --- Run --relevant-triggers --full-saturate-quant at 5...
% 272.73/273.16 --- Run --finite-model-find --e-matching --sort-inference --uf-ss-fair at 5...
% 272.73/273.16 --- Run --pre-skolem-quant=on --full-saturate-quant at 10...
% 272.73/273.16 --- Run --cbqi-vo-exp --full-saturate-quant at 10...
% 272.73/273.16 --- Run --no-cbqi --full-saturate-quant at 10...
% 272.73/273.16 --- Run --macros-quant --macros-quant-mode=all --full-saturate-quant...
% 272.73/273.16 % SZS status Theorem for LAT340+1
% 272.73/273.16 % SZS output start Proof for LAT340+1
% 272.73/273.16 (
% 272.73/273.16 (let ((_let_1 (forall ((A $$unsorted)) (let ((_let_1 (tptp.l3_lattices A))) (let ((_let_2 (tptp.v10_lattices A))) (let ((_let_3 (not (tptp.v3_struct_0 A)))) (=> (and _let_3 _let_2 (tptp.v4_lattice3 A) _let_1) (and _let_3 _let_2 (tptp.v14_lattices A) _let_1 (= (tptp.k6_lattices A) (tptp.k15_lattice3 A (tptp.u1_struct_0 A))))))))))) (let ((_let_2 (forall ((A $$unsorted)) (=> (and (not (tptp.v3_conlat_1 A)) (tptp.l2_conlat_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 (tptp.k11_conlat_1 A))) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k11_conlat_1 A))) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 _let_1)) (= (tptp.r3_lattices _let_1 B C) (tptp.r2_conlat_1 A (tptp.k12_conlat_1 A B) (tptp.k12_conlat_1 A C)))))))))))) (let ((_let_3 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.m1_subset_1 A (tptp.k1_zfmisc_1 B)) (tptp.r1_tarski A B))))) (let ((_let_4 (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v4_lattice3 A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (= (= B (tptp.k16_lattice3 A C)) (and (tptp.r3_lattice3 A B C) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (=> (tptp.r3_lattice3 A D C) (tptp.r3_lattices A D B))))))))))))) (let ((_let_5 (forall ((A $$unsorted)) (=> (and (not (tptp.v3_conlat_1 A)) (tptp.l2_conlat_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v7_conlat_1 B A)) (tptp.v9_conlat_1 B A) (tptp.l3_conlat_1 B A)) (and (tptp.r2_conlat_1 A B (tptp.k5_conlat_1 A)) (tptp.r2_conlat_1 A (tptp.k6_conlat_1 A) B)))))))) (let ((_let_6 (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 A B) (or (tptp.v1_xboole_0 B) (tptp.r2_hidden A B)))))) (let ((_let_7 (forall ((A $$unsorted)) (let ((_let_1 (tptp.k11_conlat_1 A))) (=> (and (not (tptp.v3_conlat_1 A)) (tptp.l2_conlat_1 A)) (and (= (tptp.k5_lattices _let_1) (tptp.k6_conlat_1 A)) (= (tptp.k6_lattices _let_1) (tptp.k5_conlat_1 A)))))))) (let ((_let_8 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v6_lattices A) (tptp.v8_lattices A) (tptp.v9_lattices A) (tptp.l3_lattices A) (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (= (tptp.r3_lattices A B C) (tptp.r1_lattices A B C))))))) (let ((_let_9 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.m2_relset_1 C A B) (tptp.m1_relset_1 C A B))))) (let ((_let_10 (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_struct_0 A)) (not (tptp.v1_xboole_0 (tptp.u1_struct_0 A))))))) (let ((_let_11 (forall ((A $$unsorted)) (let ((_let_1 (tptp.k11_conlat_1 A))) (=> (and (not (tptp.v3_conlat_1 A)) (tptp.l2_conlat_1 A)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v3_lattices _let_1) (tptp.v4_lattices _let_1) (tptp.v5_lattices _let_1) (tptp.v6_lattices _let_1) (tptp.v7_lattices _let_1) (tptp.v8_lattices _let_1) (tptp.v9_lattices _let_1) (tptp.v10_lattices _let_1) (tptp.v13_lattices _let_1) (tptp.v14_lattices _let_1) (tptp.v15_lattices _let_1) (tptp.v4_lattice3 _let_1))))))) (let ((_let_12 (forall ((A $$unsorted)) (=> (tptp.l3_lattices A) (and (tptp.l1_lattices A) (tptp.l2_lattices A)))))) (let ((_let_13 (forall ((A $$unsorted)) (=> (tptp.l1_lattices A) (tptp.l1_struct_0 A))))) (let ((_let_14 (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_lattices A)) (tptp.m1_subset_1 (tptp.k5_lattices A) (tptp.u1_struct_0 A)))))) (let ((_let_15 (forall ((A $$unsorted)) (tptp.m1_subset_1 (tptp.k2_subset_1 A) (tptp.k1_zfmisc_1 A))))) (let ((_let_16 (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k12_conlat_1 A B))) (=> (and (not (tptp.v3_conlat_1 A)) (tptp.l2_conlat_1 A) (tptp.m1_subset_1 B (tptp.u1_struct_0 (tptp.k11_conlat_1 A)))) (and (tptp.v6_conlat_1 _let_1 A) (not (tptp.v7_conlat_1 _let_1 A)) (tptp.v9_conlat_1 _let_1 A) (tptp.l3_conlat_1 _let_1 A))))))) (let ((_let_17 (forall ((A $$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_18 (forall ((A $$unsorted)) (= (tptp.k2_subset_1 A) A)))) (let ((_let_19 (forall ((A $$unsorted)) (=> (and (not (tptp.v3_conlat_1 A)) (tptp.l2_conlat_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k11_conlat_1 A))) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 _let_1))) (= (tptp.k3_conlat_2 A B) (tptp.k15_lattice3 _let_1 B))))))))) (let ((_let_20 (forall ((A $$unsorted)) (=> (and (not (tptp.v3_conlat_1 A)) (tptp.l2_conlat_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k11_conlat_1 A))) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 _let_1))) (= (tptp.k2_conlat_2 A B) (tptp.k16_lattice3 _let_1 B))))))))) (let ((_let_21 (forall ((A $$unsorted)) (=> (and (not (tptp.v3_conlat_1 A)) (tptp.l2_conlat_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 (tptp.k11_conlat_1 A))) (= (tptp.k12_conlat_1 A B) B))))))) (let ((_let_22 (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (= (tptp.r3_lattice3 A B C) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (=> (tptp.r2_hidden D C) (tptp.r1_lattices A B D)))))))))))) (let ((_let_23 (not (forall ((A $$unsorted)) (let ((_let_1 (tptp.k2_subset_1 (tptp.u1_struct_0 (tptp.k11_conlat_1 A))))) (=> (and (not (tptp.v3_conlat_1 A)) (tptp.l2_conlat_1 A)) (and (= (tptp.k3_conlat_2 A _let_1) (tptp.k5_conlat_1 A)) (= (tptp.k2_conlat_2 A _let_1) (tptp.k6_conlat_1 A))))))))) (let ((_let_24 (tptp.k11_conlat_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_25 (tptp.k5_lattices _let_24))) (let ((_let_26 (tptp.k6_conlat_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_27 (= _let_26 _let_25))) (let ((_let_28 (tptp.k12_conlat_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_25))) (let ((_let_29 (= _let_25 _let_28))) (let ((_let_30 (tptp.k12_conlat_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_507))) (let ((_let_31 (tptp.r2_conlat_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_26 _let_30))) (let ((_let_32 (tptp.r2_conlat_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_28 _let_30))) (let ((_let_33 (tptp.k6_lattices _let_24))) (let ((_let_34 (tptp.k5_conlat_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_35 (= _let_34 _let_33))) (let ((_let_36 (and _let_27 _let_35))) (let ((_let_37 (tptp.l2_conlat_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_38 (not _let_37))) (let ((_let_39 (tptp.v3_conlat_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_40 (or _let_39 _let_38 _let_36))) (let ((_let_41 (forall ((A $$unsorted)) (let ((_let_1 (tptp.k11_conlat_1 A))) (or (tptp.v3_conlat_1 A) (not (tptp.l2_conlat_1 A)) (and (= (tptp.k5_lattices _let_1) (tptp.k6_conlat_1 A)) (= (tptp.k6_lattices _let_1) (tptp.k5_conlat_1 A)))))))) (let ((_let_42 (EQ_RESOLVE (ASSUME :args (_let_7)) (MACRO_SR_EQ_INTRO :args (_let_7 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_43 (tptp.u1_struct_0 _let_24))) (let ((_let_44 (tptp.k2_conlat_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_43))) (let ((_let_45 (= _let_26 _let_44))) (let ((_let_46 (tptp.k3_conlat_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_43))) (let ((_let_47 (= _let_34 _let_46))) (let ((_let_48 (and _let_47 _let_45))) (let ((_let_49 (or _let_39 _let_38 _let_48))) (let ((_let_50 (forall ((A $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 (tptp.k11_conlat_1 A)))) (or (tptp.v3_conlat_1 A) (not (tptp.l2_conlat_1 A)) (and (= (tptp.k5_conlat_1 A) (tptp.k3_conlat_2 A _let_1)) (= (tptp.k6_conlat_1 A) (tptp.k2_conlat_2 A _let_1)))))))) (let ((_let_51 (not _let_49))) (let ((_let_52 (TRUST_SUBS_EQ (EQ_RESOLVE (ASSUME :args (_let_18)) (MACRO_SR_EQ_INTRO :args (_let_18 SB_DEFAULT SBA_FIXPOINT))) :args ((= tptp.k2_subset_1 (lambda ((BOUND_VARIABLE_3296 $$unsorted)) BOUND_VARIABLE_3296)))))) (let ((_let_53 (EQ_RESOLVE (ASSUME :args (_let_23)) (TRANS (MACRO_SR_EQ_INTRO :args (_let_23 SB_DEFAULT SBA_FIXPOINT)) (MACRO_SR_EQ_INTRO (AND_INTRO (TRUST_SUBS_EQ (ASSUME :args (_let_3)) :args ((= tptp.r1_tarski (lambda ((BOUND_VARIABLE_3319 $$unsorted) (BOUND_VARIABLE_3320 $$unsorted)) (tptp.m1_subset_1 BOUND_VARIABLE_3319 (tptp.k1_zfmisc_1 BOUND_VARIABLE_3320)))))) (TRUST_SUBS_EQ (ASSUME :args (_let_9)) :args ((= tptp.m2_relset_1 (lambda ((BOUND_VARIABLE_3307 $$unsorted) (BOUND_VARIABLE_3308 $$unsorted) (BOUND_VARIABLE_3309 $$unsorted)) (tptp.m1_relset_1 BOUND_VARIABLE_3307 BOUND_VARIABLE_3308 BOUND_VARIABLE_3309))))) _let_52) :args ((not (forall ((A $$unsorted)) (let ((_let_1 (tptp.k2_subset_1 (tptp.u1_struct_0 (tptp.k11_conlat_1 A))))) (or (tptp.v3_conlat_1 A) (not (tptp.l2_conlat_1 A)) (and (= (tptp.k3_conlat_2 A _let_1) (tptp.k5_conlat_1 A)) (= (tptp.k2_conlat_2 A _let_1) (tptp.k6_conlat_1 A))))))) SB_DEFAULT SBA_FIXPOINT)))))) (let ((_let_54 (or))) (let ((_let_55 (not _let_50))) (let ((_let_56 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_53) :args (_let_55))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_55) _let_50))) (REFL :args (_let_51)) :args _let_54)) _let_53 :args (_let_51 true _let_50)))) (let ((_let_57 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_49 1)) (CONG (REFL :args (_let_49)) (MACRO_SR_PRED_INTRO :args ((= (not _let_38) _let_37))) :args _let_54)) :args ((or _let_37 _let_49))) _let_56 :args (_let_37 true _let_49)))) (let ((_let_58 (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_49 0)) _let_56 :args ((not _let_39) true _let_49)))) (let ((_let_59 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_40)) :args ((or _let_39 _let_38 _let_36 (not _let_40)))) _let_58 _let_57 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_42 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.v3_conlat_1 A) true))))) :args (_let_41)))) _let_42 :args (_let_40 false _let_41)) :args (_let_36 true _let_39 false _let_37 false _let_40)))) (let ((_let_60 (not _let_36))) (let ((_let_61 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_36 0)) :args ((or _let_27 _let_60))) _let_59 :args (_let_27 false _let_36)))) (let ((_let_62 (tptp.m1_subset_1 _let_25 _let_43))) (let ((_let_63 (not _let_62))) (let ((_let_64 (or _let_39 _let_38 _let_63 _let_29))) (let ((_let_65 (forall ((A $$unsorted) (BOUND_VARIABLE_2383 $$unsorted)) (or (tptp.v3_conlat_1 A) (not (tptp.l2_conlat_1 A)) (not (tptp.m1_subset_1 BOUND_VARIABLE_2383 (tptp.u1_struct_0 (tptp.k11_conlat_1 A)))) (= BOUND_VARIABLE_2383 (tptp.k12_conlat_1 A BOUND_VARIABLE_2383)))))) (let ((_let_66 (EQ_RESOLVE (ASSUME :args (_let_21)) (MACRO_SR_EQ_INTRO :args (_let_21 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_67 (tptp.l1_lattices _let_24))) (let ((_let_68 (not _let_67))) (let ((_let_69 (tptp.v3_struct_0 _let_24))) (let ((_let_70 (or _let_69 _let_68 _let_62))) (let ((_let_71 (forall ((A $$unsorted)) (or (tptp.v3_struct_0 A) (not (tptp.l1_lattices A)) (tptp.m1_subset_1 (tptp.k5_lattices A) (tptp.u1_struct_0 A)))))) (let ((_let_72 (EQ_RESOLVE (ASSUME :args (_let_14)) (MACRO_SR_EQ_INTRO :args (_let_14 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_73 (and _let_67 (tptp.l2_lattices _let_24)))) (let ((_let_74 (tptp.l3_lattices _let_24))) (let ((_let_75 (not _let_74))) (let ((_let_76 (or _let_75 _let_73))) (let ((_let_77 (forall ((A $$unsorted)) (or (not (tptp.l3_lattices A)) (and (tptp.l1_lattices A) (tptp.l2_lattices A)))))) (let ((_let_78 (EQ_RESOLVE (ASSUME :args (_let_12)) (MACRO_SR_EQ_INTRO :args (_let_12 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_79 (_let_24 QUANTIFIERS_INST_CBQI_CONFLICT))) (let ((_let_80 (tptp.v3_lattices _let_24))) (let ((_let_81 (not _let_69))) (let ((_let_82 (and _let_81 _let_80 _let_74))) (let ((_let_83 (or _let_39 _let_38 _let_82))) (let ((_let_84 (forall ((A $$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_85 (EQ_RESOLVE (ASSUME :args (_let_17)) (MACRO_SR_EQ_INTRO :args (_let_17 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_86 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_83)) :args ((or _let_39 _let_38 _let_82 (not _let_83)))) _let_58 _let_57 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_85 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.v3_conlat_1 A) true))))) :args (_let_84))) _let_85 :args (_let_83 false _let_84)) :args (_let_82 true _let_39 false _let_37 false _let_83)))) (let ((_let_87 (not _let_82))) (let ((_let_88 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_82 2)) :args ((or _let_74 _let_87))) _let_86 :args (_let_74 false _let_82)))) (let ((_let_89 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_73 0)) :args ((or _let_67 (not _let_73)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_76)) :args ((or _let_75 _let_73 (not _let_76)))) _let_88 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_78 :args _let_79) :args (_let_77))) _let_78 :args (_let_76 false _let_77)) :args (_let_73 false _let_74 false _let_76)) :args (_let_67 false _let_73)))) (let ((_let_90 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_82 0)) :args ((or _let_81 _let_87))) _let_86 :args (_let_81 false _let_82)))) (let ((_let_91 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_70)) :args ((or _let_69 _let_68 _let_62 (not _let_70)))) _let_90 _let_89 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_72 :args (_let_24 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.u1_struct_0 A)))) :args (_let_71))) _let_72 :args (_let_70 false _let_71)) :args (_let_62 true _let_69 false _let_67 false _let_70)))) (let ((_let_92 (and (tptp.r2_conlat_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_30 _let_34) _let_31))) (let ((_let_93 (tptp.l3_conlat_1 _let_30 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_94 (not _let_93))) (let ((_let_95 (tptp.v9_conlat_1 _let_30 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_96 (not _let_95))) (let ((_let_97 (tptp.v7_conlat_1 _let_30 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_98 (or _let_39 _let_38 _let_97 _let_96 _let_94 _let_92))) (let ((_let_99 (forall ((A $$unsorted) (BOUND_VARIABLE_3134 $$unsorted)) (or (tptp.v3_conlat_1 A) (not (tptp.l2_conlat_1 A)) (tptp.v7_conlat_1 BOUND_VARIABLE_3134 A) (not (tptp.v9_conlat_1 BOUND_VARIABLE_3134 A)) (not (tptp.l3_conlat_1 BOUND_VARIABLE_3134 A)) (and (tptp.r2_conlat_1 A BOUND_VARIABLE_3134 (tptp.k5_conlat_1 A)) (tptp.r2_conlat_1 A (tptp.k6_conlat_1 A) BOUND_VARIABLE_3134)))))) (let ((_let_100 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_101 (not _let_97))) (let ((_let_102 (and (tptp.v6_conlat_1 _let_30 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2) _let_101 _let_95 _let_93))) (let ((_let_103 (tptp.m1_subset_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_507 _let_43))) (let ((_let_104 (not _let_103))) (let ((_let_105 (or _let_39 _let_38 _let_104 _let_102))) (let ((_let_106 (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k12_conlat_1 A B))) (or (tptp.v3_conlat_1 A) (not (tptp.l2_conlat_1 A)) (not (tptp.m1_subset_1 B (tptp.u1_struct_0 (tptp.k11_conlat_1 A)))) (and (tptp.v6_conlat_1 _let_1 A) (not (tptp.v7_conlat_1 _let_1 A)) (tptp.v9_conlat_1 _let_1 A) (tptp.l3_conlat_1 _let_1 A))))))) (let ((_let_107 (EQ_RESOLVE (ASSUME :args (_let_16)) (MACRO_SR_EQ_INTRO :args (_let_16 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_108 (tptp.r1_lattices _let_24 _let_25 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_507))) (let ((_let_109 (or _let_104 (not (tptp.r2_hidden SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_507 _let_43)) _let_108))) (let ((_let_110 (forall ((D $$unsorted)) (let ((_let_1 (tptp.k11_conlat_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_2 (tptp.u1_struct_0 _let_1))) (or (not (tptp.m1_subset_1 D _let_2)) (not (tptp.r2_hidden D _let_2)) (tptp.r1_lattices _let_1 (tptp.k5_lattices _let_1) D))))))) (let ((_let_111 (not _let_109))) (let ((_let_112 (tptp.r3_lattice3 _let_24 _let_25 _let_43))) (let ((_let_113 (= _let_112 _let_110))) (let ((_let_114 (not _let_110))) (let ((_let_115 (or _let_69 _let_75 _let_63 _let_113))) (let ((_let_116 (forall ((A $$unsorted) (BOUND_VARIABLE_2302 $$unsorted) (BOUND_VARIABLE_2300 $$unsorted)) (or (tptp.v3_struct_0 A) (not (tptp.l3_lattices A)) (not (tptp.m1_subset_1 BOUND_VARIABLE_2300 (tptp.u1_struct_0 A))) (= (tptp.r3_lattice3 A BOUND_VARIABLE_2300 BOUND_VARIABLE_2302) (forall ((D $$unsorted)) (or (not (tptp.m1_subset_1 D (tptp.u1_struct_0 A))) (not (tptp.r2_hidden D BOUND_VARIABLE_2302)) (tptp.r1_lattices A BOUND_VARIABLE_2300 D)))))))) (let ((_let_117 (EQ_RESOLVE (ASSUME :args (_let_22)) (MACRO_SR_EQ_INTRO :args (_let_22 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_118 (_let_116))) (let ((_let_119 ((tptp.r3_lattice3 A BOUND_VARIABLE_2300 BOUND_VARIABLE_2302)))) (let ((_let_120 (forall ((D $$unsorted)) (let ((_let_1 (tptp.k11_conlat_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_2 (tptp.u1_struct_0 _let_1))) (or (not (tptp.m1_subset_1 D _let_2)) (not (tptp.r3_lattice3 _let_1 D _let_2)) (tptp.r3_lattices _let_1 D (tptp.k5_lattices _let_1)))))))) (let ((_let_121 (and _let_112 _let_120))) (let ((_let_122 (tptp.r3_lattices _let_24 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_269 _let_25))) (let ((_let_123 (tptp.r3_lattice3 _let_24 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_269 _let_43))) (let ((_let_124 (not _let_123))) (let ((_let_125 (tptp.m1_subset_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_269 _let_43))) (let ((_let_126 (not _let_125))) (let ((_let_127 (or _let_126 _let_124 _let_122))) (let ((_let_128 (forall ((D $$unsorted)) (let ((_let_1 (tptp.k11_conlat_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_2 (tptp.u1_struct_0 _let_1))) (or (not (tptp.m1_subset_1 D _let_2)) (not (tptp.r2_hidden D _let_2)) (tptp.r1_lattices _let_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_269 D))))))) (let ((_let_129 (= _let_123 _let_128))) (let ((_let_130 (or _let_69 _let_75 _let_126 _let_129))) (let ((_let_131 (tptp.v6_lattices _let_24))) (let ((_let_132 (tptp.v8_lattices _let_24))) (let ((_let_133 (tptp.v9_lattices _let_24))) (let ((_let_134 (tptp.r1_lattices _let_24 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_269 _let_25))) (let ((_let_135 (= _let_122 _let_134))) (let ((_let_136 (not _let_133))) (let ((_let_137 (not _let_132))) (let ((_let_138 (not _let_131))) (let ((_let_139 (or _let_69 _let_138 _let_137 _let_136 _let_75 _let_126 _let_63 _let_135))) (let ((_let_140 (tptp.r2_hidden _let_25 _let_43))) (let ((_let_141 (not _let_140))) (let ((_let_142 (or _let_63 _let_141 _let_134))) (let ((_let_143 (REFL :args (_let_127)))) (let ((_let_144 (tptp.v4_lattice3 _let_24))) (let ((_let_145 (tptp.v14_lattices _let_24))) (let ((_let_146 (tptp.v10_lattices _let_24))) (let ((_let_147 (and _let_81 _let_80 (tptp.v4_lattices _let_24) (tptp.v5_lattices _let_24) _let_131 (tptp.v7_lattices _let_24) _let_132 _let_133 _let_146 (tptp.v13_lattices _let_24) _let_145 (tptp.v15_lattices _let_24) _let_144))) (let ((_let_148 (or _let_39 _let_38 _let_147))) (let ((_let_149 (forall ((A $$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_150 (EQ_RESOLVE (ASSUME :args (_let_11)) (MACRO_SR_EQ_INTRO :args (_let_11 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_151 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_148)) :args ((or _let_39 _let_38 _let_147 (not _let_148)))) _let_58 _let_57 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_150 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.v3_conlat_1 A) true))))) :args (_let_149))) _let_150 :args (_let_148 false _let_149)) :args (_let_147 true _let_39 false _let_37 false _let_148)))) (let ((_let_152 (not _let_147))) (let ((_let_153 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_147 4)) :args ((or _let_131 _let_152))) _let_151 :args (_let_131 false _let_147)))) (let ((_let_154 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_147 6)) :args ((or _let_132 _let_152))) _let_151 :args (_let_132 false _let_147)))) (let ((_let_155 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_147 7)) :args ((or _let_133 _let_152))) _let_151 :args (_let_133 false _let_147)))) (let ((_let_156 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (or (tptp.v3_struct_0 A) (not (tptp.v6_lattices A)) (not (tptp.v8_lattices A)) (not (tptp.v9_lattices A)) (not (tptp.l3_lattices A)) (not (tptp.m1_subset_1 B _let_1)) (not (tptp.m1_subset_1 C _let_1)) (= (tptp.r3_lattices A B C) (tptp.r1_lattices A B C))))))) (let ((_let_157 (EQ_RESOLVE (ASSUME :args (_let_8)) (MACRO_SR_EQ_INTRO :args (_let_8 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_158 (_let_156))) (let ((_let_159 (tptp.v1_xboole_0 _let_43))) (let ((_let_160 (or _let_63 _let_159 _let_140))) (let ((_let_161 (forall ((A $$unsorted) (B $$unsorted)) (or (not (tptp.m1_subset_1 A B)) (tptp.v1_xboole_0 B) (tptp.r2_hidden A B))))) (let ((_let_162 (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_163 (not _let_159))) (let ((_let_164 (tptp.l1_struct_0 _let_24))) (let ((_let_165 (not _let_164))) (let ((_let_166 (or _let_69 _let_165 _let_163))) (let ((_let_167 (forall ((A $$unsorted)) (or (tptp.v3_struct_0 A) (not (tptp.l1_struct_0 A)) (not 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(MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_157 :args (_let_24 _let_25 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_507 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.r1_lattices A B C)))) :args _let_158))) _let_157 :args (_let_230 false _let_156)) :args (_let_228 false _let_74 true _let_69 false _let_131 false _let_62 false _let_132 false _let_133 false _let_103 false _let_230)) :args (_let_229 true _let_108 false _let_228)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_225)) :args ((or _let_39 _let_38 _let_63 _let_104 _let_223 (not _let_225)))) _let_58 _let_57 _let_91 _let_219 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_227 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_507 _let_25 QUANTIFIERS_INST_E_MATCHING ((tptp.r3_lattices (tptp.k11_conlat_1 A) BOUND_VARIABLE_3239 BOUND_VARIABLE_3241)))) :args (_let_226))) _let_227 :args (_let_225 false _let_226)) :args (_let_223 true _let_39 false _let_37 false 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(tptp.l3_conlat_1 B A) (tptp.v8_conlat_1 B A))))) (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 $$unsorted)) (let ((_let_1 (tptp.v1_funct_2 C A B))) (let ((_let_2 (tptp.v1_funct_1 C))) (=> (tptp.m1_relset_1 C A B) (=> (and _let_2 _let_1) (and _let_2 (not (tptp.v1_xboole_0 C)) (tptp.v1_partfun1 C A B) _let_1)))))))) _let_22 (forall ((A $$unsorted)) (=> (and (not (tptp.v3_conlat_1 A)) (tptp.l2_conlat_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v6_conlat_1 B A) (not (tptp.v7_conlat_1 B A)) (tptp.v9_conlat_1 B A) (tptp.l3_conlat_1 B A)) (= (tptp.k1_conlat_2 A B) B))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (= (tptp.k16_lattice3 A B) (tptp.k15_lattice3 A (tptp.a_2_1_lattice3 A B)))))) _let_21 _let_20 _let_19 _let_18 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.g3_conlat_1 A B C))) (=> (and (tptp.l1_conlat_1 A) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_conlat_1 A))) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u2_conlat_1 A)))) (and (tptp.v6_conlat_1 _let_1 A) (tptp.l3_conlat_1 _let_1 A))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.g3_lattices A B C))) (let ((_let_2 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_2 A) (tptp.m1_relset_1 B _let_2 A) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 A) (tptp.m1_relset_1 C _let_2 A)) (and (tptp.v3_lattices _let_1) (tptp.l3_lattices _let_1)))))) _let_17 _let_16 (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l3_lattices A)) (tptp.m1_subset_1 (tptp.k15_lattice3 A B) (tptp.u1_struct_0 A)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l3_lattices A)) (tptp.m1_subset_1 (tptp.k16_lattice3 A B) (tptp.u1_struct_0 A)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_conlat_1 A)) (tptp.l2_conlat_1 A) (tptp.v6_conlat_1 B A) (not (tptp.v7_conlat_1 B A)) (tptp.v9_conlat_1 B A) (tptp.l3_conlat_1 B A)) (tptp.m1_subset_1 (tptp.k1_conlat_2 A B) (tptp.u1_struct_0 (tptp.k11_conlat_1 A))))) true true (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k2_conlat_2 A B))) (=> (and (not (tptp.v3_conlat_1 A)) (tptp.l2_conlat_1 A) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 (tptp.k11_conlat_1 A))))) (and (not (tptp.v7_conlat_1 _let_1 A)) (tptp.v9_conlat_1 _let_1 A) (tptp.l3_conlat_1 _let_1 A))))) _let_15 true (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k3_conlat_2 A B))) (=> (and (not (tptp.v3_conlat_1 A)) (tptp.l2_conlat_1 A) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 (tptp.k11_conlat_1 A))))) (and (not (tptp.v7_conlat_1 _let_1 A)) (tptp.v9_conlat_1 _let_1 A) (tptp.l3_conlat_1 _let_1 A))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k5_conlat_1 A))) (=> (and (not (tptp.v3_conlat_1 A)) (tptp.l2_conlat_1 A)) (and (tptp.v6_conlat_1 _let_1 A) (not (tptp.v7_conlat_1 _let_1 A)) (tptp.v9_conlat_1 _let_1 A) (tptp.v10_conlat_1 _let_1 A) (tptp.l3_conlat_1 _let_1 A))))) _let_14 (forall ((A $$unsorted)) (let ((_let_1 (tptp.k6_conlat_1 A))) (=> (and (not (tptp.v3_conlat_1 A)) (tptp.l2_conlat_1 A)) (and (tptp.v6_conlat_1 _let_1 A) (not (tptp.v7_conlat_1 _let_1 A)) (tptp.v9_conlat_1 _let_1 A) (tptp.v11_conlat_1 _let_1 A) (tptp.l3_conlat_1 _let_1 A))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l2_lattices A)) (tptp.m1_subset_1 (tptp.k6_lattices A) (tptp.u1_struct_0 A)))) true _let_13 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))) true _let_12 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) (B $$unsorted)) (=> (and (tptp.l1_conlat_1 A) (tptp.l3_conlat_1 B A)) (tptp.m1_subset_1 (tptp.u4_conlat_1 A B) (tptp.k1_zfmisc_1 (tptp.u1_conlat_1 A))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.l1_conlat_1 A) (tptp.l3_conlat_1 B A)) (tptp.m1_subset_1 (tptp.u5_conlat_1 A B) (tptp.k1_zfmisc_1 (tptp.u2_conlat_1 A))))) (exists ((A $$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)) (forall ((A $$unsorted)) (=> (tptp.l1_conlat_1 A) (exists ((B $$unsorted)) (tptp.l3_conlat_1 B 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_conlat_1 A)) (tptp.l1_conlat_1 A)) (not (tptp.v1_xboole_0 (tptp.u2_conlat_1 A))))) _let_11 _let_10 (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))))) (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) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.l3_lattices B)) (= (tptp.r2_hidden A (tptp.a_2_1_lattice3 B C)) (exists ((D $$unsorted)) (and (tptp.m1_subset_1 D (tptp.u1_struct_0 B)) (= A D) (tptp.r3_lattice3 B D C)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.l1_conlat_1 A) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_conlat_1 A))) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u2_conlat_1 A)))) (forall ((D $$unsorted) (E $$unsorted) (F $$unsorted)) (=> (= (tptp.g3_conlat_1 A B C) (tptp.g3_conlat_1 D E F)) (and (= A D) (= B E) (= C F)))))) (forall ((A $$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.l1_conlat_1 A) (exists ((B $$unsorted)) (and (tptp.l3_conlat_1 B A) (tptp.v6_conlat_1 B A))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_conlat_1 A)) (tptp.l1_conlat_1 A)) (exists ((B $$unsorted)) (and (tptp.l3_conlat_1 B A) (tptp.v6_conlat_1 B A) (not (tptp.v7_conlat_1 B A)))))) (exists ((A $$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 $$unsorted)) (=> (and (not (tptp.v3_conlat_1 A)) (tptp.l1_conlat_1 A)) (exists ((B $$unsorted)) (and (tptp.l3_conlat_1 B A) (tptp.v6_conlat_1 B A) (tptp.v8_conlat_1 B A))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_conlat_1 A)) (tptp.l2_conlat_1 A)) (exists ((B $$unsorted)) (and (tptp.l3_conlat_1 B A) (not (tptp.v7_conlat_1 B A)) (tptp.v9_conlat_1 B A))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_conlat_1 A)) (tptp.l2_conlat_1 A)) (exists ((B $$unsorted)) (and (tptp.l3_conlat_1 B A) (tptp.v6_conlat_1 B A) (not (tptp.v7_conlat_1 B A)) (tptp.v9_conlat_1 B A))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_conlat_1 A)) (tptp.l2_conlat_1 A)) (exists ((B $$unsorted)) (and (tptp.l3_conlat_1 B A) (tptp.v6_conlat_1 B A) (not (tptp.v7_conlat_1 B A)) (tptp.v9_conlat_1 B A) (tptp.v10_conlat_1 B A))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_conlat_1 A)) (tptp.l2_conlat_1 A)) (exists ((B $$unsorted)) (and (tptp.l3_conlat_1 B A) (tptp.v6_conlat_1 B A) (not (tptp.v7_conlat_1 B A)) (tptp.v9_conlat_1 B A) (tptp.v11_conlat_1 B 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)))) (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)) (=> (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))) _let_9 _let_8 (forall ((A $$unsorted) (B $$unsorted)) (tptp.r1_tarski A A)) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v6_lattices A) (tptp.v8_lattices A) (tptp.v9_lattices A) (tptp.l3_lattices A) (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (tptp.r3_lattices A B B)))) _let_7 (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.r2_hidden A B) (tptp.m1_subset_1 A B))) _let_6 (forall ((A $$unsorted) (B $$unsorted)) (=> (forall ((C $$unsorted)) (= (tptp.r2_hidden C A) (tptp.r2_hidden C B))) (= A B))) _let_5 _let_4 _let_3 _let_2 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.r2_hidden A B) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 C))) (tptp.m1_subset_1 A C))) _let_1 (forall ((A $$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))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 272.73/273.18 )
% 272.73/273.18 % SZS output end Proof for LAT340+1
% 272.73/273.18 % cvc5---1.0.5 exiting
% 272.73/273.18 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------