TSTP Solution File: LAT314+1 by cvc5---1.0.5
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : LAT314+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n027.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 06:03:56 EDT 2023
% Result : Theorem 26.80s 27.07s
% Output : Proof 26.80s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : LAT314+1 : TPTP v8.1.2. Released v3.4.0.
% 0.00/0.14 % Command : do_cvc5 %s %d
% 0.14/0.35 % Computer : n027.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 06:40:17 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.21/0.49 %----Proving TF0_NAR, FOF, or CNF
% 26.80/27.07 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.YaQ0YuDTEQ/cvc5---1.0.5_23261.p...
% 26.80/27.07 ------- get file name : TPTP file name is LAT314+1
% 26.80/27.07 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_23261.smt2...
% 26.80/27.07 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 26.80/27.07 --- Run --no-e-matching --full-saturate-quant at 5...
% 26.80/27.07 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 5...
% 26.80/27.07 --- Run --finite-model-find --uf-ss=no-minimal at 5...
% 26.80/27.07 --- Run --multi-trigger-when-single --full-saturate-quant at 5...
% 26.80/27.07 % SZS status Theorem for LAT314+1
% 26.80/27.07 % SZS output start Proof for LAT314+1
% 26.80/27.07 (
% 26.80/27.07 (let ((_let_1 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B)))) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v10_lattices B) (tptp.l3_lattices B) (not (tptp.v1_xboole_0 C)) (tptp.m1_subset_1 C _let_1) (not (tptp.v1_xboole_0 D)) (tptp.m1_subset_1 D _let_1)) (= (tptp.r2_hidden A (tptp.a_3_0_filter_2 B C D)) (exists ((E $$unsorted) (F $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (and (tptp.m1_subset_1 E _let_1) (tptp.m1_subset_1 F _let_1) (= A (tptp.k3_lattices B E F)) (tptp.r2_hidden E C) (tptp.r2_hidden F D)))))))))) (let ((_let_2 (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_struct_0 A)) (not (tptp.v1_xboole_0 (tptp.u1_struct_0 A))))))) (let ((_let_3 (forall ((A $$unsorted)) (=> (tptp.l3_lattices A) (and (tptp.l1_lattices A) (tptp.l2_lattices A)))))) (let ((_let_4 (forall ((A $$unsorted)) (=> (tptp.l1_lattices A) (tptp.l1_struct_0 A))))) (let ((_let_5 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A) (not (tptp.v1_xboole_0 B)) (tptp.m1_subset_1 B _let_1) (not (tptp.v1_xboole_0 C)) (tptp.m1_subset_1 C _let_1)) (tptp.m1_subset_1 (tptp.k20_filter_2 A B C) _let_1)))))) (let ((_let_6 (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 A)) (= (tptp.r1_filter_2 A B C) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D A) (= (tptp.r2_hidden D B) (tptp.r2_hidden D C))))))))))))) (let ((_let_7 (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (forall ((C $$unsorted)) (=> (and (not (tptp.v1_xboole_0 C)) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (= (tptp.k20_filter_2 A B C) (tptp.a_3_0_filter_2 A B C)))))))))) (let ((_let_8 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_lattices A) (tptp.l2_lattices A) (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (= (tptp.k3_lattices A B C) (tptp.k3_lattices A C B))))))) (let ((_let_9 (forall ((A $$unsorted)) (let ((_let_1 (not (tptp.v3_struct_0 A)))) (=> (tptp.l3_lattices A) (=> (and _let_1 (tptp.v10_lattices A)) (and _let_1 (tptp.v4_lattices A) (tptp.v5_lattices A) (tptp.v6_lattices A) (tptp.v7_lattices A) (tptp.v8_lattices A) (tptp.v9_lattices A)))))))) (let ((_let_10 (not (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v1_xboole_0 C)) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 _let_1))) (tptp.r1_filter_2 _let_1 (tptp.k20_filter_2 A B C) (tptp.k20_filter_2 A C B)))))))))))) (let ((_let_11 (tptp.k3_lattices SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_76 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_77))) (let ((_let_12 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_26 _let_11))) (let ((_let_13 (tptp.k3_lattices SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_77 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_76))) (let ((_let_14 (= _let_11 _let_13))) (let ((_let_15 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_26 _let_13))) (let ((_let_16 (tptp.r2_hidden SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_77 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_17 (not _let_16))) (let ((_let_18 (tptp.r2_hidden SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_76 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_19 (not _let_18))) (let ((_let_20 (not _let_12))) (let ((_let_21 (tptp.u1_struct_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_22 (tptp.m1_subset_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_77 _let_21))) (let ((_let_23 (not _let_22))) (let ((_let_24 (tptp.m1_subset_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_76 _let_21))) (let ((_let_25 (not _let_24))) (let ((_let_26 (or _let_25 _let_23 _let_20 _let_19 _let_17))) (let ((_let_27 (forall ((E $$unsorted) (F $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (or (not (tptp.m1_subset_1 E _let_1)) (not (tptp.m1_subset_1 F _let_1)) (not (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_26 (tptp.k3_lattices SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 E F))) (not (tptp.r2_hidden E SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)) (not (tptp.r2_hidden F SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))))))) (let ((_let_28 (not _let_26))) (let ((_let_29 (not _let_27))) (let ((_let_30 (tptp.a_3_0_filter_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_31 (tptp.r2_hidden SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_26 _let_30))) (let ((_let_32 (= _let_31 _let_29))) (let ((_let_33 (tptp.k1_zfmisc_1 _let_21))) (let ((_let_34 (tptp.m1_subset_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_33))) (let ((_let_35 (not _let_34))) (let ((_let_36 (tptp.v1_xboole_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_37 (tptp.m1_subset_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_33))) (let ((_let_38 (not _let_37))) (let ((_let_39 (tptp.v1_xboole_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_40 (tptp.l3_lattices SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_41 (not _let_40))) (let ((_let_42 (tptp.v10_lattices SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_43 (not _let_42))) (let ((_let_44 (tptp.v3_struct_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_45 (or _let_44 _let_43 _let_41 _let_39 _let_38 _let_36 _let_35 _let_32))) (let ((_let_46 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B)))) (or (tptp.v3_struct_0 B) (not (tptp.v10_lattices B)) (not (tptp.l3_lattices B)) (tptp.v1_xboole_0 C) (not (tptp.m1_subset_1 C _let_1)) (tptp.v1_xboole_0 D) (not (tptp.m1_subset_1 D _let_1)) (= (tptp.r2_hidden A (tptp.a_3_0_filter_2 B C D)) (not (forall ((E $$unsorted) (F $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (or (not (tptp.m1_subset_1 E _let_1)) (not (tptp.m1_subset_1 F _let_1)) (not (= A (tptp.k3_lattices B E F))) (not (tptp.r2_hidden E C)) (not (tptp.r2_hidden F D)))))))))))) (let ((_let_47 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_48 (_let_46))) (let ((_let_49 ((tptp.r2_hidden A (tptp.a_3_0_filter_2 B C D))))) (let ((_let_50 (tptp.k20_filter_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_51 (tptp.k20_filter_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_52 (tptp.r1_filter_2 _let_21 _let_51 _let_50))) (let ((_let_53 (or _let_44 _let_43 _let_41 _let_36 _let_35 _let_39 _let_38 _let_52))) (let ((_let_54 (forall ((A $$unsorted) (BOUND_VARIABLE_1464 $$unsorted) (BOUND_VARIABLE_1462 $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.k1_zfmisc_1 _let_1))) (or (tptp.v3_struct_0 A) (not (tptp.v10_lattices A)) (not (tptp.l3_lattices A)) (tptp.v1_xboole_0 BOUND_VARIABLE_1462) (not (tptp.m1_subset_1 BOUND_VARIABLE_1462 _let_2)) (tptp.v1_xboole_0 BOUND_VARIABLE_1464) (not (tptp.m1_subset_1 BOUND_VARIABLE_1464 _let_2)) (tptp.r1_filter_2 _let_1 (tptp.k20_filter_2 A BOUND_VARIABLE_1462 BOUND_VARIABLE_1464) (tptp.k20_filter_2 A BOUND_VARIABLE_1464 BOUND_VARIABLE_1462)))))))) (let ((_let_55 (not _let_53))) (let ((_let_56 (EQ_RESOLVE (ASSUME :args (_let_10)) (MACRO_SR_EQ_INTRO :args (_let_10 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_57 (or))) (let ((_let_58 (not _let_54))) (let ((_let_59 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_56) :args (_let_58))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_58) _let_54))) (REFL :args (_let_55)) :args _let_57)) _let_56 :args (_let_55 true _let_54)))) (let ((_let_60 (REFL :args (_let_53)))) (let ((_let_61 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_53 6)) (CONG _let_60 (MACRO_SR_PRED_INTRO :args ((= (not _let_38) _let_37))) :args _let_57)) :args ((or _let_37 _let_53))) _let_59 :args (_let_37 true _let_53)))) (let ((_let_62 (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_53 5)) _let_59 :args ((not _let_39) true _let_53)))) (let ((_let_63 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_53 4)) (CONG _let_60 (MACRO_SR_PRED_INTRO :args ((= (not _let_35) _let_34))) :args _let_57)) :args ((or _let_34 _let_53))) _let_59 :args (_let_34 true _let_53)))) (let ((_let_64 (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_53 3)) _let_59 :args ((not _let_36) true _let_53)))) (let ((_let_65 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_53 2)) (CONG _let_60 (MACRO_SR_PRED_INTRO :args ((= (not _let_41) _let_40))) :args _let_57)) :args ((or _let_40 _let_53))) _let_59 :args (_let_40 true _let_53)))) (let ((_let_66 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_53 1)) (CONG _let_60 (MACRO_SR_PRED_INTRO :args ((= (not _let_43) _let_42))) :args _let_57)) :args ((or _let_42 _let_53))) _let_59 :args (_let_42 true _let_53)))) (let ((_let_67 (not _let_44))) (let ((_let_68 (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_53 0)) _let_59 :args (_let_67 true _let_53)))) (let ((_let_69 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_45)) :args ((or _let_44 _let_43 _let_41 _let_36 _let_35 _let_39 _let_38 _let_32 (not _let_45)))) _let_68 _let_66 _let_65 _let_64 _let_63 _let_62 _let_61 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_47 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_26 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING _let_49)) :args _let_48)) _let_47 :args (_let_45 false _let_46)) :args (_let_32 true _let_44 false _let_42 false _let_40 true _let_36 false _let_34 true _let_39 false _let_37 false _let_45)))) (let ((_let_70 (tptp.r2_hidden SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_26 _let_50))) (let ((_let_71 (= _let_50 _let_30))) (let ((_let_72 (tptp.r2_hidden SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_26 _let_51))) (let ((_let_73 (= _let_72 _let_70))) (let ((_let_74 (or (not (tptp.m1_subset_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_26 _let_21)) _let_73))) (let ((_let_75 (forall ((D $$unsorted)) (or (not (tptp.m1_subset_1 D (tptp.u1_struct_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (= (tptp.r2_hidden D (tptp.k20_filter_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)) (tptp.r2_hidden D (tptp.k20_filter_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))))))) (let ((_let_76 (not _let_74))) (let ((_let_77 (= _let_52 _let_75))) (let ((_let_78 (not _let_75))) (let ((_let_79 (tptp.m1_subset_1 _let_50 _let_33))) (let ((_let_80 (not _let_79))) (let ((_let_81 (tptp.m1_subset_1 _let_51 _let_33))) (let ((_let_82 (not _let_81))) (let ((_let_83 (tptp.v1_xboole_0 _let_21))) (let ((_let_84 (or _let_83 _let_82 _let_80 _let_77))) (let ((_let_85 (forall ((A $$unsorted) (BOUND_VARIABLE_1644 $$unsorted) (BOUND_VARIABLE_1642 $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 A))) (or (tptp.v1_xboole_0 A) (not (tptp.m1_subset_1 BOUND_VARIABLE_1642 _let_1)) (not (tptp.m1_subset_1 BOUND_VARIABLE_1644 _let_1)) (= (tptp.r1_filter_2 A BOUND_VARIABLE_1642 BOUND_VARIABLE_1644) (forall ((D $$unsorted)) (or (not (tptp.m1_subset_1 D A)) (= (tptp.r2_hidden D BOUND_VARIABLE_1642) (tptp.r2_hidden D BOUND_VARIABLE_1644)))))))))) (let ((_let_86 (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_87 (or _let_44 _let_43 _let_41 _let_39 _let_38 _let_36 _let_35 _let_79))) (let ((_let_88 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (or (tptp.v3_struct_0 A) (not (tptp.v10_lattices A)) (not (tptp.l3_lattices A)) (tptp.v1_xboole_0 B) (not (tptp.m1_subset_1 B _let_1)) (tptp.v1_xboole_0 C) (not (tptp.m1_subset_1 C _let_1)) (tptp.m1_subset_1 (tptp.k20_filter_2 A B C) _let_1)))))) (let ((_let_89 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_90 (_let_88))) (let ((_let_91 ((tptp.k20_filter_2 A B C)))) (let ((_let_92 (or _let_44 _let_43 _let_41 _let_36 _let_35 _let_39 _let_38 _let_81))) (let ((_let_93 (not _let_83))) (let ((_let_94 (tptp.l1_struct_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_95 (not _let_94))) (let ((_let_96 (or _let_44 _let_95 _let_93))) (let ((_let_97 (forall ((A $$unsorted)) (or (tptp.v3_struct_0 A) (not (tptp.l1_struct_0 A)) (not (tptp.v1_xboole_0 (tptp.u1_struct_0 A))))))) (let ((_let_98 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_99 (tptp.l1_lattices SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_100 (not _let_99))) (let ((_let_101 (or _let_100 _let_94))) (let ((_let_102 (forall ((A $$unsorted)) (or (not (tptp.l1_lattices A)) (tptp.l1_struct_0 A))))) (let ((_let_103 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_104 (tptp.l2_lattices SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_105 (and _let_99 _let_104))) (let ((_let_106 (or _let_41 _let_105))) (let ((_let_107 (forall ((A $$unsorted)) (or (not (tptp.l3_lattices A)) (and (tptp.l1_lattices A) (tptp.l2_lattices A)))))) (let ((_let_108 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_109 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_106)) :args ((or _let_41 _let_105 (not _let_106)))) _let_65 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_108 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.l3_lattices A) false))))) :args (_let_107))) _let_108 :args (_let_106 false _let_107)) :args (_let_105 false _let_40 false _let_106)))) (let ((_let_110 (not _let_105))) (let ((_let_111 (_let_78))) (let ((_let_112 (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_74 1)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_111)) :args _let_111)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_78) _let_75))) (REFL :args (_let_76)) :args _let_57)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_77)) :args ((or _let_52 _let_78 (not _let_77)))) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_53 7)) _let_59 :args ((not _let_52) true _let_53)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_84)) :args ((or _let_83 _let_82 _let_80 _let_77 (not _let_84)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_96)) :args ((or _let_44 _let_95 _let_93 (not _let_96)))) _let_68 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_101)) :args ((or _let_94 _let_100 (not _let_101)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_105 0)) :args ((or _let_99 _let_110))) _let_109 :args (_let_99 false _let_105)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_103 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_CBQI_CONFLICT)) :args (_let_102))) _let_103 :args (_let_101 false _let_102)) :args (_let_94 false _let_99 false _let_101)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_98 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.v3_struct_0 A) true))))) :args (_let_97))) _let_98 :args (_let_96 false _let_97)) :args (_let_93 true _let_44 false _let_94 false _let_96)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_92)) :args ((or _let_44 _let_43 _let_41 _let_36 _let_35 _let_39 _let_38 _let_81 (not _let_92)))) _let_68 _let_66 _let_65 _let_64 _let_63 _let_62 _let_61 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_89 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_91)) :args _let_90)) _let_89 :args (_let_92 false _let_88)) :args (_let_81 true _let_44 false _let_42 false _let_40 true _let_36 false _let_34 true _let_39 false _let_37 false _let_92)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_87)) :args ((or _let_44 _let_43 _let_41 _let_36 _let_35 _let_39 _let_38 _let_79 (not _let_87)))) _let_68 _let_66 _let_65 _let_64 _let_63 _let_62 _let_61 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_89 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_91)) :args _let_90)) _let_89 :args (_let_87 false _let_88)) :args (_let_79 true _let_44 false _let_42 false _let_40 true _let_36 false _let_34 true _let_39 false _let_37 false _let_87)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_86 :args (_let_21 _let_50 _let_51 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.r1_filter_2 A BOUND_VARIABLE_1642 BOUND_VARIABLE_1644)))) :args (_let_85))) _let_86 :args (_let_84 false _let_85)) :args (_let_77 true _let_83 false _let_81 false _let_79 false _let_84)) :args (_let_78 true _let_52 false _let_77)) :args (_let_76 true _let_75)) :args ((not _let_73) true _let_74)))) (let ((_let_113 (tptp.a_3_0_filter_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_114 (= _let_51 _let_113))) (let ((_let_115 (tptp.r2_hidden SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_26 _let_113))) (let ((_let_116 (forall ((E $$unsorted) (F $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (or (not (tptp.m1_subset_1 E _let_1)) (not (tptp.m1_subset_1 F _let_1)) (not (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_26 (tptp.k3_lattices SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 E F))) (not (tptp.r2_hidden E SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4)) (not (tptp.r2_hidden F SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))))))) (let ((_let_117 (not _let_116))) (let ((_let_118 (= _let_115 _let_117))) (let ((_let_119 (tptp.r2_hidden SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_41 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_120 (not _let_119))) (let ((_let_121 (tptp.r2_hidden SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_40 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_122 (not _let_121))) (let ((_let_123 (tptp.k3_lattices SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_40 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_41))) (let ((_let_124 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_26 _let_123))) (let ((_let_125 (not _let_124))) (let ((_let_126 (tptp.m1_subset_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_41 _let_21))) (let ((_let_127 (not _let_126))) (let ((_let_128 (tptp.m1_subset_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_40 _let_21))) (let ((_let_129 (not _let_128))) (let ((_let_130 (or _let_129 _let_127 _let_125 _let_122 _let_120))) (let ((_let_131 (tptp.v4_lattices SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_132 (tptp.k3_lattices SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_41 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_40))) (let ((_let_133 (= _let_123 _let_132))) (let ((_let_134 (not _let_104))) (let ((_let_135 (not _let_131))) (let ((_let_136 (or _let_44 _let_135 _let_134 _let_129 _let_127 _let_133))) (let ((_let_137 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_26 _let_132))) (let ((_let_138 (not _let_137))) (let ((_let_139 (or _let_127 _let_129 _let_138 _let_120 _let_122))) (let ((_let_140 (not _let_72))) (let ((_let_141 (_let_73))) (let ((_let_142 (or _let_44 _let_43 _let_41 _let_36 _let_35 _let_39 _let_38 _let_114))) (let ((_let_143 (forall ((A $$unsorted) (BOUND_VARIABLE_1572 $$unsorted) (BOUND_VARIABLE_1570 $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (or (tptp.v3_struct_0 A) (not (tptp.v10_lattices A)) (not (tptp.l3_lattices A)) (tptp.v1_xboole_0 BOUND_VARIABLE_1570) (not (tptp.m1_subset_1 BOUND_VARIABLE_1570 _let_1)) (tptp.v1_xboole_0 BOUND_VARIABLE_1572) (not (tptp.m1_subset_1 BOUND_VARIABLE_1572 _let_1)) (= (tptp.k20_filter_2 A BOUND_VARIABLE_1570 BOUND_VARIABLE_1572) (tptp.a_3_0_filter_2 A BOUND_VARIABLE_1570 BOUND_VARIABLE_1572))))))) (let ((_let_144 (EQ_RESOLVE (ASSUME :args (_let_7)) (MACRO_SR_EQ_INTRO :args (_let_7 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_145 (_let_143))) (let ((_let_146 ((tptp.k20_filter_2 A BOUND_VARIABLE_1570 BOUND_VARIABLE_1572)))) (let ((_let_147 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_142)) :args ((or _let_44 _let_43 _let_41 _let_36 _let_35 _let_39 _let_38 _let_114 (not _let_142)))) _let_68 _let_66 _let_65 _let_64 _let_63 _let_62 _let_61 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_144 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_146)) :args _let_145)) _let_144 :args (_let_142 false _let_143)) :args (_let_114 true _let_44 false _let_42 false _let_40 true _let_36 false _let_34 true _let_39 false _let_37 false _let_142)))) (let ((_let_148 (and _let_114 _let_72))) (let ((_let_149 (ASSUME :args (_let_72)))) (let ((_let_150 (APPLY_UF tptp.r2_hidden))) (let ((_let_151 (ASSUME :args (_let_114)))) (let ((_let_152 (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_26)))) (let ((_let_153 (CONG _let_152 (SYMM _let_151) :args _let_150))) (let ((_let_154 (or _let_44 _let_43 _let_41 _let_39 _let_38 _let_36 _let_35 _let_71))) (let ((_let_155 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_154)) :args ((or _let_44 _let_43 _let_41 _let_36 _let_35 _let_39 _let_38 _let_71 (not _let_154)))) _let_68 _let_66 _let_65 _let_64 _let_63 _let_62 _let_61 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_144 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_146)) :args _let_145)) _let_144 :args (_let_154 false _let_143)) :args (_let_71 true _let_44 false _let_42 false _let_40 true _let_36 false _let_34 true _let_39 false _let_37 false _let_154)))) (let ((_let_156 (not _let_31))) (let ((_let_157 (not _let_70))) (let ((_let_158 (and _let_71 _let_157))) (let ((_let_159 (ASSUME :args (_let_157)))) (let ((_let_160 (ASSUME :args (_let_71)))) (let ((_let_161 (CONG _let_152 (SYMM _let_160) :args _let_150))) (let ((_let_162 (or _let_44 _let_43 _let_41 _let_36 _let_35 _let_39 _let_38 _let_118))) (let ((_let_163 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_162)) :args ((or _let_44 _let_43 _let_41 _let_36 _let_35 _let_39 _let_38 _let_118 (not _let_162)))) _let_68 _let_66 _let_65 _let_64 _let_63 _let_62 _let_61 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_47 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_26 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING _let_49)) :args _let_48)) _let_47 :args (_let_162 false _let_46)) :args (_let_118 true _let_44 false _let_42 false _let_40 true _let_36 false _let_34 true _let_39 false _let_37 false _let_162)))) (let ((_let_164 (not _let_118))) (let ((_let_165 (not _let_115))) (let ((_let_166 (_let_118))) (let ((_let_167 (not _let_32))) (let ((_let_168 (MACRO_SR_PRED_INTRO :args ((= (not _let_29) _let_27))))) (let ((_let_169 (_let_32))) (let ((_let_170 (MACRO_SR_PRED_INTRO :args ((= (not _let_117) _let_116))))) (let ((_let_171 (_let_117))) (let ((_let_172 (REFL :args (_let_130)))) (let ((_let_173 (and _let_67 _let_131 (tptp.v5_lattices SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2) (tptp.v6_lattices SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2) (tptp.v7_lattices SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2) (tptp.v8_lattices SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2) (tptp.v9_lattices SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))) (let ((_let_174 (or _let_41 _let_44 _let_43 _let_173))) (let ((_let_175 (forall ((A $$unsorted)) (let ((_let_1 (tptp.v3_struct_0 A))) (or (not (tptp.l3_lattices A)) _let_1 (not (tptp.v10_lattices A)) (and (not _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))))))) (let ((_let_176 (EQ_RESOLVE (ASSUME :args (_let_9)) (MACRO_SR_EQ_INTRO :args (_let_9 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_177 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_173 1)) :args ((or _let_131 (not _let_173)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_174)) :args ((or _let_44 _let_43 _let_41 _let_173 (not _let_174)))) _let_68 _let_66 _let_65 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_176 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.l3_lattices A) false))))) :args (_let_175))) _let_176 :args (_let_174 false _let_175)) :args (_let_173 true _let_44 false _let_42 false _let_40 false _let_174)) :args (_let_131 false _let_173)))) (let ((_let_178 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_105 1)) :args ((or _let_104 _let_110))) _let_109 :args (_let_104 false _let_105)))) (let ((_let_179 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (or (tptp.v3_struct_0 A) (not (tptp.v4_lattices A)) (not (tptp.l2_lattices A)) (not (tptp.m1_subset_1 B _let_1)) (not (tptp.m1_subset_1 C _let_1)) (= (tptp.k3_lattices A B C) (tptp.k3_lattices A C B))))))) (let ((_let_180 (EQ_RESOLVE (ASSUME :args (_let_8)) (MACRO_SR_EQ_INTRO :args (_let_8 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_181 (_let_179))) (let ((_let_182 ((tptp.k3_lattices A B C)))) (let ((_let_183 (_let_27))) (let ((_let_184 (ASSUME :args (_let_138)))) (let ((_let_185 (ASSUME :args (_let_133)))) (let ((_let_186 (ASSUME :args (_let_124)))) (let ((_let_187 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_184 _let_185 _let_186) :args (_let_124 _let_133 _let_138)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (TRUE_INTRO (TRANS (SYMM (SYMM _let_186)) (SYMM (SYMM _let_185))))) (FALSE_INTRO _let_184))) :args (_let_138 _let_133 _let_124)) :args ((not (and _let_124 _let_133 _let_138)) SB_LITERAL))) (CONG (REFL :args (_let_125)) (REFL :args ((not _let_133))) (MACRO_SR_PRED_INTRO :args ((= (not _let_138) _let_137))) :args _let_57)) (REORDERING (CNF_OR_POS :args (_let_139)) :args ((or _let_129 _let_127 _let_122 _let_120 _let_138 (not _let_139)))) (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_183) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_41 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_40 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_183)) (REORDERING (CNF_OR_POS :args (_let_136)) :args ((or _let_44 _let_134 _let_135 _let_129 _let_127 _let_133 (not _let_136)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_180 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_40 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_41 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_182)) :args _let_181)) _let_180 :args (_let_136 false _let_179)) _let_178 _let_177 _let_68 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_130 4)) (CONG _let_172 (MACRO_SR_PRED_INTRO :args ((= (not _let_120) _let_119))) :args _let_57)) :args ((or _let_119 _let_130))) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_130 3)) (CONG _let_172 (MACRO_SR_PRED_INTRO :args ((= (not _let_122) _let_121))) :args _let_57)) :args ((or _let_121 _let_130))) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_130 2)) (CONG _let_172 (MACRO_SR_PRED_INTRO :args ((= (not _let_125) _let_124))) :args _let_57)) :args ((or _let_124 _let_130))) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_130 1)) (CONG _let_172 (MACRO_SR_PRED_INTRO :args ((= (not _let_127) _let_126))) :args _let_57)) :args ((or _let_126 _let_130))) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_130 0)) (CONG _let_172 (MACRO_SR_PRED_INTRO :args ((= (not _let_129) _let_128))) :args _let_57)) :args ((or _let_128 _let_130))) (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_171)) :args _let_171)) (CONG _let_170 (REFL :args ((not _let_130))) :args _let_57)) (REORDERING (EQ_RESOLVE (CNF_EQUIV_POS2 :args _let_169) (CONG (REFL :args (_let_167)) (REFL :args (_let_31)) _let_168 :args _let_57)) :args ((or _let_31 _let_27 _let_167))) _let_69 (REORDERING (CNF_EQUIV_POS1 :args _let_166) :args ((or _let_117 _let_165 _let_164))) _let_163 (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_158)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_159 _let_160) (SCOPE (FALSE_ELIM (TRANS _let_161 (FALSE_INTRO _let_159))) :args (_let_157 _let_71))) :args (_let_71 _let_157))) :args (true _let_158)) (CONG (REFL :args ((not _let_71))) (MACRO_SR_PRED_INTRO :args ((= (not _let_157) _let_70))) (REFL :args (_let_156)) :args _let_57)) _let_155 (RESOLUTION (CNF_AND_NEG :args (_let_148)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_149 _let_151) (SCOPE (TRUE_ELIM (TRANS _let_153 (TRUE_INTRO _let_149))) :args (_let_72 _let_114))) :args (_let_114 _let_72))) :args (true _let_148)) _let_147 (CNF_EQUIV_NEG2 :args _let_141) _let_112 :args (_let_140 true _let_137 false _let_139 false _let_133 false _let_136 false _let_104 false _let_131 true _let_44 false _let_119 false _let_121 false _let_124 false _let_126 false _let_128 true _let_130 false _let_27 false _let_32 true _let_116 false _let_118 true _let_31 false _let_71 false _let_115 false _let_114 true _let_70 true _let_73)))) (let ((_let_188 (and _let_71 _let_70))) (let ((_let_189 (ASSUME :args (_let_70)))) (let ((_let_190 (_let_29))) (let ((_let_191 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_190)) :args _let_190)) (CONG _let_168 (REFL :args (_let_28)) :args _let_57)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args _let_169) :args ((or _let_29 _let_156 _let_167))) (MACRO_RESOLUTION_TRUST (RESOLUTION (CNF_AND_NEG :args (_let_188)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_189 _let_160) (SCOPE (TRUE_ELIM (TRANS _let_161 (TRUE_INTRO _let_189))) :args (_let_70 _let_71))) :args (_let_71 _let_70))) :args (true _let_188)) _let_155 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_NEG1 :args _let_141) :args ((or _let_72 _let_70 _let_73))) _let_187 _let_112 :args (_let_70 true _let_72 true _let_73)) :args (_let_31 false _let_71 false _let_70)) _let_69 :args (_let_29 false _let_31 false _let_32)) :args (_let_28 true _let_27)))) (let ((_let_192 (REFL :args (_let_26)))) (let ((_let_193 (or _let_44 _let_135 _let_134 _let_25 _let_23 _let_14))) (let ((_let_194 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_26 1)) (CONG _let_192 (MACRO_SR_PRED_INTRO :args ((= (not _let_23) _let_22))) :args _let_57)) :args ((or _let_22 _let_26))) _let_191 :args (_let_22 true _let_26)))) (let ((_let_195 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_26 0)) (CONG _let_192 (MACRO_SR_PRED_INTRO :args ((= (not _let_25) _let_24))) :args _let_57)) :args ((or _let_24 _let_26))) _let_191 :args (_let_24 true _let_26)))) (let ((_let_196 (not _let_15))) (let ((_let_197 (or _let_23 _let_25 _let_196 _let_17 _let_19))) (let ((_let_198 (and _let_114 _let_140))) (let ((_let_199 (ASSUME :args (_let_140)))) (let ((_let_200 (_let_116))) (let ((_let_201 (ASSUME :args (_let_196)))) (let ((_let_202 (ASSUME :args (_let_14)))) (let ((_let_203 (ASSUME :args (_let_12)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_201 _let_202 _let_203) :args (_let_12 _let_14 _let_196)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (TRUE_INTRO (TRANS (SYMM (SYMM _let_203)) (SYMM (SYMM _let_202))))) (FALSE_INTRO _let_201))) :args (_let_196 _let_14 _let_12)) :args ((not (and _let_12 _let_14 _let_196)) SB_LITERAL))) (CONG (REFL :args (_let_20)) (REFL :args ((not _let_14))) (MACRO_SR_PRED_INTRO :args ((= (not _let_196) _let_15))) :args _let_57)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_197)) :args ((or _let_25 _let_23 _let_19 _let_17 _let_196 (not _let_197)))) _let_195 _let_194 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_26 3)) (CONG _let_192 (MACRO_SR_PRED_INTRO :args ((= (not _let_19) _let_18))) :args _let_57)) :args ((or _let_18 _let_26))) _let_191 :args (_let_18 true _let_26)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_26 4)) (CONG _let_192 (MACRO_SR_PRED_INTRO :args ((= (not _let_17) _let_16))) :args _let_57)) :args ((or _let_16 _let_26))) _let_191 :args (_let_16 true _let_26)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_200) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_77 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_76 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_200)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_EQUIV_POS2 :args _let_166) (CONG (REFL :args (_let_164)) (REFL :args (_let_115)) _let_170 :args _let_57)) :args ((or _let_115 _let_116 _let_164))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_198)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_199 _let_151) (SCOPE (FALSE_ELIM (TRANS _let_153 (FALSE_INTRO _let_199))) :args (_let_140 _let_114))) :args (_let_114 _let_140))) :args (true _let_198)) (CONG (REFL :args ((not _let_114))) (MACRO_SR_PRED_INTRO :args ((= (not _let_140) _let_72))) (REFL :args (_let_165)) :args _let_57)) _let_147 _let_187 :args (_let_165 false _let_114 true _let_72)) _let_163 :args (_let_116 true _let_115 false _let_118)) :args (_let_197 false _let_116)) :args (_let_196 false _let_24 false _let_22 false _let_18 false _let_16 false _let_197)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_193)) :args ((or _let_44 _let_134 _let_135 _let_25 _let_23 _let_14 (not _let_193)))) _let_68 _let_178 _let_177 _let_195 _let_194 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_180 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_76 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_77 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_182)) :args _let_181)) _let_180 :args (_let_193 false _let_179)) :args (_let_14 true _let_44 false _let_104 false _let_131 false _let_24 false _let_22 false _let_193)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_26 2)) (CONG _let_192 (MACRO_SR_PRED_INTRO :args ((= (not _let_20) _let_12))) :args _let_57)) :args ((or _let_12 _let_26))) _let_191 :args (_let_12 true _let_26)) :args (false true _let_15 false _let_14 false _let_12)) :args (_let_10 (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))) _let_9 (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)) (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 $$unsorted) (B $$unsorted)) (= (tptp.k2_tarski A B) (tptp.k2_tarski B A))) _let_8 _let_7 (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted) (C $$unsorted)) (= (tptp.k1_binop_1 A B C) (tptp.k1_funct_1 A (tptp.k4_tarski B C)))))) _let_6 (forall ((A $$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)) (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))))))))) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.k4_tarski A B) (tptp.k2_tarski (tptp.k2_tarski A B) (tptp.k1_tarski A)))) true true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l2_lattices A) (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (tptp.m1_subset_1 (tptp.k1_lattices A B C) _let_1)))) true true true _let_5 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A B))) (=> (and (not (tptp.v1_xboole_0 A)) (not (tptp.v1_xboole_0 B)) (tptp.v1_funct_1 D) (tptp.v1_funct_2 D _let_1 C) (tptp.m1_relset_1 D _let_1 C) (tptp.m1_subset_1 E A) (tptp.m1_subset_1 F B)) (tptp.m1_subset_1 (tptp.k2_binop_1 A B C D E F) C)))) true true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_lattices A) (tptp.l2_lattices A) (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (tptp.m1_subset_1 (tptp.k3_lattices A B C) _let_1)))) true _let_4 true (forall ((A $$unsorted)) (=> (tptp.l2_lattices A) (tptp.l1_struct_0 A))) _let_3 true true (forall ((A $$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 $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.k2_zfmisc_1 _let_1 _let_1))) (let ((_let_3 (tptp.u2_lattices A))) (=> (tptp.l2_lattices A) (and (tptp.v1_funct_1 _let_3) (tptp.v1_funct_2 _let_3 _let_2 _let_1) (tptp.m2_relset_1 _let_3 _let_2 _let_1))))))) (exists ((A $$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 $$unsorted)) (tptp.m2_relset_1 C A B))) _let_2 (forall ((A $$unsorted)) (not (tptp.v1_xboole_0 (tptp.k1_zfmisc_1 A)))) (tptp.v1_xboole_0 tptp.k1_xboole_0) (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)) (not (tptp.v1_xboole_0 (tptp.k1_tarski A)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A) (not (tptp.v1_xboole_0 B)) (tptp.m1_subset_1 B _let_1) (not (tptp.v1_xboole_0 C)) (tptp.m1_subset_1 C _let_1)) (not (tptp.v1_xboole_0 (tptp.k20_filter_2 A B C)))))) (forall ((A $$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 $$unsorted)) (let ((_let_1 (tptp.k1_tarski A))) (and (not (tptp.v1_xboole_0 _let_1)) (tptp.v1_finset_1 _let_1) (tptp.v1_realset1 _let_1)))) (forall ((A $$unsorted) (B $$unsorted)) (not (tptp.v1_xboole_0 (tptp.k2_tarski A B)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (not (tptp.v1_xboole_0 B))) (not (tptp.v1_xboole_0 (tptp.k2_zfmisc_1 A B))))) _let_1 (exists ((A $$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 $$unsorted)) (and (tptp.l1_struct_0 A) (not (tptp.v3_struct_0 A)))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_struct_0 A)) (exists ((B $$unsorted)) (and (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (not (tptp.v1_xboole_0 B)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A B))) (=> (and (not (tptp.v1_xboole_0 A)) (not (tptp.v1_xboole_0 B)) (tptp.v1_funct_1 D) (tptp.v1_funct_2 D _let_1 C) (tptp.m1_relset_1 D _let_1 C) (tptp.m1_subset_1 E A) (tptp.m1_subset_1 F B)) (= (tptp.k2_binop_1 A B C D E F) (tptp.k1_binop_1 D E F))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_lattices A) (tptp.l2_lattices A) (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (= (tptp.k3_lattices A B C) (tptp.k1_lattices A B 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 $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 A))) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (= (tptp.r1_filter_2 A B C) (= B C))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 A))) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (tptp.r1_filter_2 A B B)))) (forall ((A $$unsorted) (B $$unsorted)) (tptp.r1_tarski A A)) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 A))) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (=> (tptp.r1_filter_2 A B C) (tptp.r1_filter_2 A C B))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.r2_hidden A B) (tptp.m1_subset_1 A B))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 A B) (or (tptp.v1_xboole_0 B) (tptp.r2_hidden A B)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (forall ((C $$unsorted)) (= (tptp.r2_hidden C A) (tptp.r2_hidden C B))) (= A B))) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.m1_subset_1 A (tptp.k1_zfmisc_1 B)) (tptp.r1_tarski A B))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.r2_hidden A B) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 C))) (tptp.m1_subset_1 A C))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (not (and (tptp.r2_hidden A B) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 C)) (tptp.v1_xboole_0 C)))) (forall ((A $$unsorted)) (=> (tptp.v1_xboole_0 A) (= A tptp.k1_xboole_0))) (forall ((A $$unsorted) (B $$unsorted)) (not (and (tptp.r2_hidden A B) (tptp.v1_xboole_0 B)))) (forall ((A $$unsorted) (B $$unsorted)) (not (and (tptp.v1_xboole_0 A) (not (= A B)) (tptp.v1_xboole_0 B)))) true))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 26.80/27.08 )
% 26.80/27.08 % SZS output end Proof for LAT314+1
% 26.80/27.08 % cvc5---1.0.5 exiting
% 26.80/27.08 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------