TSTP Solution File: LAT289+1 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : LAT289+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n009.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 06:03:39 EDT 2023
% Result : Theorem 0.54s 0.74s
% Output : Proof 0.54s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.13 % Problem : LAT289+1 : TPTP v8.1.2. Released v3.4.0.
% 0.06/0.14 % Command : do_cvc5 %s %d
% 0.13/0.35 % Computer : n009.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 07:29:51 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.21/0.50 %----Proving TF0_NAR, FOF, or CNF
% 0.54/0.74 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.GjZwASQrN3/cvc5---1.0.5_16905.p...
% 0.54/0.74 ------- get file name : TPTP file name is LAT289+1
% 0.54/0.74 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_16905.smt2...
% 0.54/0.74 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.54/0.74 % SZS status Theorem for LAT289+1
% 0.54/0.74 % SZS output start Proof for LAT289+1
% 0.54/0.74 (
% 0.54/0.74 (let ((_let_1 (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v17_lattices A) (not (tptp.v3_realset2 A)) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_filter_0 C A) (= (tptp.r2_hidden C (tptp.k1_funct_1 (tptp.k8_lopclset A) B)) (and (tptp.v1_filter_0 C A) (tptp.r2_hidden B C))))))))))) (let ((_let_2 (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_filter_0 B A) (and (not (tptp.v1_xboole_0 B)) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))))))))) (let ((_let_3 (forall ((A $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 (tptp.k7_lopclset A)))) (let ((_let_2 (tptp.u1_struct_0 A))) (let ((_let_3 (tptp.k9_lopclset A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v17_lattices A) (not (tptp.v3_realset2 A)) (tptp.l3_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 $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v17_lattices A) (not (tptp.v3_realset2 A)) (tptp.l3_lattices A)) (= (tptp.k9_lopclset A) (tptp.k8_lopclset A)))))) (let ((_let_5 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C A B) (tptp.m1_relset_1 C A B) (tptp.m1_subset_1 D A)) (= (tptp.k8_funct_2 A B C D) (tptp.k1_funct_1 C D)))))) (let ((_let_6 (forall ((A $$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)))))) (let ((_let_7 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.m2_relset_1 C A B) (tptp.m1_relset_1 C A B))))) (let ((_let_8 (not (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v17_lattices A) (not (tptp.v3_realset2 A)) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_filter_0 C A) (not (and (tptp.v1_filter_0 C A) (not (tptp.r2_hidden C (tptp.k8_funct_2 (tptp.u1_struct_0 A) (tptp.k1_zfmisc_1 (tptp.k7_lopclset A)) (tptp.k9_lopclset A) B))) (tptp.r2_hidden B C)))))))))))) (let ((_let_9 (tptp.k9_lopclset SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_10 (tptp.k1_zfmisc_1 (tptp.k7_lopclset SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))) (let ((_let_11 (tptp.u1_struct_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_12 (tptp.k8_funct_2 _let_11 _let_10 _let_9 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_13 (tptp.r2_hidden SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_12))) (let ((_let_14 (tptp.k8_lopclset SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_15 (= _let_9 _let_14))) (let ((_let_16 (= _let_12 (tptp.k1_funct_1 _let_9 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4)))) (let ((_let_17 (tptp.r2_hidden SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 (tptp.k1_funct_1 _let_14 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4)))) (let ((_let_18 (tptp.r2_hidden SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_19 (not _let_18))) (let ((_let_20 (tptp.v1_filter_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_21 (not _let_20))) (let ((_let_22 (tptp.m1_filter_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_23 (not _let_22))) (let ((_let_24 (tptp.m1_subset_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_11))) (let ((_let_25 (not _let_24))) (let ((_let_26 (tptp.l3_lattices SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_27 (not _let_26))) (let ((_let_28 (tptp.v3_realset2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_29 (tptp.v17_lattices SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_30 (not _let_29))) (let ((_let_31 (tptp.v10_lattices SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_32 (not _let_31))) (let ((_let_33 (tptp.v3_struct_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_34 (or _let_33 _let_32 _let_30 _let_28 _let_27 _let_25 _let_23 _let_21 _let_13 _let_19))) (let ((_let_35 (not _let_13))) (let ((_let_36 (forall ((A $$unsorted) (BOUND_VARIABLE_1636 $$unsorted) (BOUND_VARIABLE_1634 $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (or (tptp.v3_struct_0 A) (not (tptp.v10_lattices A)) (not (tptp.v17_lattices A)) (tptp.v3_realset2 A) (not (tptp.l3_lattices A)) (not (tptp.m1_subset_1 BOUND_VARIABLE_1634 _let_1)) (not (tptp.m1_filter_0 BOUND_VARIABLE_1636 A)) (not (tptp.v1_filter_0 BOUND_VARIABLE_1636 A)) (tptp.r2_hidden BOUND_VARIABLE_1636 (tptp.k8_funct_2 _let_1 (tptp.k1_zfmisc_1 (tptp.k7_lopclset A)) (tptp.k9_lopclset A) BOUND_VARIABLE_1634)) (not (tptp.r2_hidden BOUND_VARIABLE_1634 BOUND_VARIABLE_1636))))))) (let ((_let_37 (not _let_34))) (let ((_let_38 (EQ_RESOLVE (ASSUME :args (_let_8)) (MACRO_SR_EQ_INTRO :args (_let_8 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_39 (or))) (let ((_let_40 (not _let_36))) (let ((_let_41 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_38) :args (_let_40))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_40) _let_36))) (REFL :args (_let_37)) :args _let_39)) _let_38 :args (_let_37 true _let_36)))) (let ((_let_42 (or _let_33 _let_32 _let_30 _let_28 _let_27 _let_15))) (let ((_let_43 (forall ((A $$unsorted)) (or (tptp.v3_struct_0 A) (not (tptp.v10_lattices A)) (not (tptp.v17_lattices A)) (tptp.v3_realset2 A) (not (tptp.l3_lattices A)) (= (tptp.k9_lopclset A) (tptp.k8_lopclset A)))))) (let ((_let_44 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_45 (REFL :args (_let_34)))) (let ((_let_46 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_34 4)) (CONG _let_45 (MACRO_SR_PRED_INTRO :args ((= (not _let_27) _let_26))) :args _let_39)) :args ((or _let_26 _let_34))) _let_41 :args (_let_26 true _let_34)))) (let ((_let_47 (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_34 3)) _let_41 :args ((not _let_28) true _let_34)))) (let ((_let_48 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_34 2)) (CONG _let_45 (MACRO_SR_PRED_INTRO :args ((= (not _let_30) _let_29))) :args _let_39)) :args ((or _let_29 _let_34))) _let_41 :args (_let_29 true _let_34)))) (let ((_let_49 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_34 1)) (CONG _let_45 (MACRO_SR_PRED_INTRO :args ((= (not _let_32) _let_31))) :args _let_39)) :args ((or _let_31 _let_34))) _let_41 :args (_let_31 true _let_34)))) (let ((_let_50 (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_34 0)) _let_41 :args ((not _let_33) true _let_34)))) (let ((_let_51 (tptp.m1_relset_1 _let_9 _let_11 _let_10))) (let ((_let_52 (not _let_51))) (let ((_let_53 (tptp.v1_funct_2 _let_9 _let_11 _let_10))) (let ((_let_54 (not _let_53))) (let ((_let_55 (tptp.v1_funct_1 _let_9))) (let ((_let_56 (not _let_55))) (let ((_let_57 (tptp.v1_xboole_0 _let_11))) (let ((_let_58 (or _let_57 _let_56 _let_54 _let_52 _let_25 _let_16))) (let ((_let_59 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (or (tptp.v1_xboole_0 A) (not (tptp.v1_funct_1 C)) (not (tptp.v1_funct_2 C A B)) (not (tptp.m1_relset_1 C A B)) (not (tptp.m1_subset_1 D A)) (= (tptp.k8_funct_2 A B C D) (tptp.k1_funct_1 C D)))))) (let ((_let_60 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_61 (tptp.m2_relset_1 _let_9 _let_11 _let_10))) (let ((_let_62 (= _let_51 _let_61))) (let ((_let_63 (_let_7))) (let ((_let_64 (ASSUME :args _let_63))) (let ((_let_65 (and _let_55 _let_53 _let_61))) (let ((_let_66 (or _let_33 _let_32 _let_30 _let_28 _let_27 _let_65))) (let ((_let_67 (forall ((A $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 (tptp.k7_lopclset A)))) (let ((_let_2 (tptp.u1_struct_0 A))) (let ((_let_3 (tptp.k9_lopclset A))) (or (tptp.v3_struct_0 A) (not (tptp.v10_lattices A)) (not (tptp.v17_lattices A)) (tptp.v3_realset2 A) (not (tptp.l3_lattices A)) (and (tptp.v1_funct_1 _let_3) (tptp.v1_funct_2 _let_3 _let_2 _let_1) (tptp.m2_relset_1 _let_3 _let_2 _let_1))))))))) (let ((_let_68 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_69 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_66)) :args ((or _let_33 _let_32 _let_30 _let_28 _let_27 _let_65 (not _let_66)))) _let_50 _let_49 _let_48 _let_47 _let_46 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_68 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.v3_struct_0 A) true))))) :args (_let_67))) _let_68 :args (_let_66 false _let_67)) :args (_let_65 true _let_33 false _let_31 false _let_29 true _let_28 false _let_26 false _let_66)))) (let ((_let_70 (not _let_65))) (let ((_let_71 (not _let_57))) (let ((_let_72 (tptp.m1_subset_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 (tptp.k1_zfmisc_1 _let_11)))) (let ((_let_73 (not _let_72))) (let ((_let_74 (or _let_19 _let_73 _let_71))) (let ((_let_75 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (tptp.r2_hidden A B)) (not (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 C))) (not (tptp.v1_xboole_0 C)))))) (let ((_let_76 (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_77 (and (not (tptp.v1_xboole_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)) _let_72))) (let ((_let_78 (or _let_33 _let_32 _let_27 _let_23 _let_77))) (let ((_let_79 (forall ((A $$unsorted) (BOUND_VARIABLE_2374 $$unsorted)) (or (tptp.v3_struct_0 A) (not (tptp.v10_lattices A)) (not (tptp.l3_lattices A)) (not (tptp.m1_filter_0 BOUND_VARIABLE_2374 A)) (and (not (tptp.v1_xboole_0 BOUND_VARIABLE_2374)) (tptp.m1_subset_1 BOUND_VARIABLE_2374 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))))))) (let ((_let_80 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_81 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_34 6)) (CONG _let_45 (MACRO_SR_PRED_INTRO :args ((= (not _let_23) _let_22))) :args _let_39)) :args ((or _let_22 _let_34))) _let_41 :args (_let_22 true _let_34)))) (let ((_let_82 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_34 9)) (CONG _let_45 (MACRO_SR_PRED_INTRO :args ((= (not _let_19) _let_18))) :args _let_39)) :args ((or _let_18 _let_34))) _let_41 :args (_let_18 true _let_34)))) (let ((_let_83 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_34 5)) (CONG _let_45 (MACRO_SR_PRED_INTRO :args ((= (not _let_25) _let_24))) :args _let_39)) :args ((or _let_24 _let_34))) _let_41 :args (_let_24 true _let_34)))) (let ((_let_84 (and _let_20 _let_18))) (let ((_let_85 (= _let_17 _let_84))) (let ((_let_86 (or _let_33 _let_32 _let_30 _let_28 _let_27 _let_25 _let_23 _let_85))) (let ((_let_87 (forall ((A $$unsorted) (BOUND_VARIABLE_2499 $$unsorted) (BOUND_VARIABLE_2497 $$unsorted)) (or (tptp.v3_struct_0 A) (not (tptp.v10_lattices A)) (not (tptp.v17_lattices A)) (tptp.v3_realset2 A) (not (tptp.l3_lattices A)) (not (tptp.m1_subset_1 BOUND_VARIABLE_2497 (tptp.u1_struct_0 A))) (not (tptp.m1_filter_0 BOUND_VARIABLE_2499 A)) (= (tptp.r2_hidden BOUND_VARIABLE_2499 (tptp.k1_funct_1 (tptp.k8_lopclset A) BOUND_VARIABLE_2497)) (and (tptp.v1_filter_0 BOUND_VARIABLE_2499 A) (tptp.r2_hidden BOUND_VARIABLE_2497 BOUND_VARIABLE_2499))))))) (let ((_let_88 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_89 (ASSUME :args (_let_17)))) (let ((_let_90 (ASSUME :args (_let_15)))) (let ((_let_91 (ASSUME :args (_let_16)))) (let ((_let_92 (ASSUME :args (_let_35)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_89 _let_90 _let_91 _let_92) :args (_let_35 _let_16 _let_15 _let_17)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (FALSE_INTRO _let_92)) (CONG (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)) (TRANS (SYMM (SYMM _let_91)) (CONG (SYMM (SYMM _let_90)) (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4)) :args (APPLY_UF tptp.k1_funct_1))) :args (APPLY_UF tptp.r2_hidden)) (TRUE_INTRO _let_89))) :args (_let_17 _let_15 _let_16 _let_35)) :args ((not (and _let_35 _let_16 _let_15 _let_17)) SB_LITERAL))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_35) _let_13))) (REFL :args ((not _let_16))) (REFL :args ((not _let_15))) (REFL :args ((not _let_17))) :args _let_39)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_85)) :args ((or _let_17 (not _let_84) (not _let_85)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_NEG :args (_let_84)) :args ((or _let_21 _let_19 _let_84))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_34 7)) (CONG _let_45 (MACRO_SR_PRED_INTRO :args ((= (not _let_21) _let_20))) :args _let_39)) :args ((or _let_20 _let_34))) _let_41 :args (_let_20 true _let_34)) _let_82 :args (_let_84 false _let_20 false _let_18)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_86)) :args ((or _let_33 _let_32 _let_30 _let_28 _let_27 _let_25 _let_23 _let_85 (not _let_86)))) _let_50 _let_49 _let_48 _let_47 _let_46 _let_83 _let_81 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_88 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING ((tptp.r2_hidden BOUND_VARIABLE_2499 (tptp.k1_funct_1 (tptp.k8_lopclset A) BOUND_VARIABLE_2497))))) :args (_let_87))) _let_88 :args (_let_86 false _let_87)) :args (_let_85 true _let_33 false _let_31 false _let_29 true _let_28 false _let_26 false _let_24 false _let_22 false _let_86)) :args (_let_17 false _let_84 false _let_85)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_58)) :args ((or _let_25 _let_57 _let_56 _let_54 _let_52 _let_16 (not _let_58)))) _let_83 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_74)) :args ((or _let_19 _let_71 _let_73 (not _let_74)))) _let_82 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_77 1)) :args ((or _let_72 (not _let_77)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_78)) :args ((or _let_33 _let_32 _let_27 _let_23 _let_77 (not _let_78)))) _let_50 _let_49 _let_46 _let_81 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_80 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.m1_filter_0 BOUND_VARIABLE_2374 A) false))))) :args (_let_79))) _let_80 :args (_let_78 false _let_79)) :args (_let_77 true _let_33 false _let_31 false _let_26 false _let_22 false _let_78)) :args (_let_72 false _let_77)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_76 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_11 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.r2_hidden A B) false)) (tptp.k1_zfmisc_1 C)))) :args (_let_75))) _let_76 :args (_let_74 false _let_75)) :args (_let_71 false _let_18 false _let_72 false _let_74)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_65 0)) :args ((or _let_55 _let_70))) _let_69 :args (_let_55 false _let_65)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_65 1)) :args ((or _let_53 _let_70))) _let_69 :args (_let_53 false _let_65)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_62)) :args ((or _let_51 (not _let_61) (not _let_62)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_65 2)) :args ((or _let_61 _let_70))) _let_69 :args (_let_61 false _let_65)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_64 :args (_let_11 _let_10 _let_9 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.m2_relset_1 C A B)))) :args _let_63))) _let_64 :args (_let_62 false _let_7)) :args (_let_51 false _let_61 false _let_62)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_60 :args (_let_11 _let_10 _let_9 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.k8_funct_2 A B C D)))) :args (_let_59))) _let_60 :args (_let_58 false _let_59)) :args (_let_16 false _let_24 true _let_57 false _let_55 false _let_53 false _let_51 false _let_58)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_42)) :args ((or _let_33 _let_32 _let_30 _let_28 _let_27 _let_15 (not _let_42)))) _let_50 _let_49 _let_48 _let_47 _let_46 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_44 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.v3_struct_0 A) true))))) :args (_let_43))) _let_44 :args (_let_42 false _let_43)) :args (_let_15 true _let_33 false _let_31 false _let_29 true _let_28 false _let_26 false _let_42)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_34 8)) _let_41 :args (_let_35 true _let_34)) :args (false false _let_17 false _let_16 false _let_15 true _let_13)) :args (_let_8 true true (forall ((A $$unsorted)) (=> (tptp.v1_membered A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B A) (tptp.v1_xcmplx_0 B))))) (forall ((A $$unsorted)) (=> (tptp.v2_membered A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B A) (and (tptp.v1_xcmplx_0 B) (tptp.v1_xreal_0 B)))))) (forall ((A $$unsorted)) (=> (tptp.v3_membered A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B A) (and (tptp.v1_xcmplx_0 B) (tptp.v1_xreal_0 B) (tptp.v1_rat_1 B)))))) (forall ((A $$unsorted)) (=> (tptp.v4_membered A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B A) (and (tptp.v1_xcmplx_0 B) (tptp.v1_xreal_0 B) (tptp.v1_int_1 B) (tptp.v1_rat_1 B)))))) (forall ((A $$unsorted)) (=> (tptp.v5_membered A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B A) (and (tptp.v1_xcmplx_0 B) (tptp.v4_ordinal2 B) (tptp.v1_xreal_0 B) (tptp.v1_int_1 B) (tptp.v1_rat_1 B)))))) (forall ((A $$unsorted)) (=> (tptp.v1_membered A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (tptp.v1_membered B))))) (forall ((A $$unsorted)) (=> (tptp.v2_membered A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (and (tptp.v1_membered B) (tptp.v2_membered B)))))) (forall ((A $$unsorted)) (=> (tptp.v3_membered A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (and (tptp.v1_membered B) (tptp.v2_membered B) (tptp.v3_membered B)))))) (forall ((A $$unsorted)) (=> (tptp.v4_membered A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (and (tptp.v1_membered B) (tptp.v2_membered B) (tptp.v3_membered B) (tptp.v4_membered B)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.v1_funct_1 C))) (=> (tptp.m1_relset_1 C A B) (=> (and _let_1 (tptp.v1_partfun1 C A B)) (and _let_1 (tptp.v1_funct_2 C A B)))))) (forall ((A $$unsorted)) (=> (tptp.v5_membered A) (tptp.v4_membered A))) (forall ((A $$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 $$unsorted)) (=> (tptp.v5_membered A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (and (tptp.v1_membered B) (tptp.v2_membered B) (tptp.v3_membered B) (tptp.v4_membered B) (tptp.v5_membered B)))))) (forall ((A $$unsorted)) (=> (tptp.v1_finset_1 A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (tptp.v1_finset_1 B))))) (forall ((A $$unsorted)) (=> (tptp.v4_membered A) (tptp.v3_membered A))) (forall ((A $$unsorted)) (=> (tptp.v3_membered A) (tptp.v2_membered A))) (forall ((A $$unsorted)) (=> (tptp.v2_membered A) (tptp.v1_membered A))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_finset_1 A) (tptp.v1_finset_1 B)) (tptp.v1_finset_1 (tptp.k2_zfmisc_1 A B)))) (and (tptp.v1_xboole_0 tptp.k1_xboole_0) (tptp.v1_membered tptp.k1_xboole_0) (tptp.v2_membered tptp.k1_xboole_0) (tptp.v3_membered tptp.k1_xboole_0) (tptp.v4_membered tptp.k1_xboole_0) (tptp.v5_membered tptp.k1_xboole_0)) (exists ((A $$unsorted)) (and (not (tptp.v1_xboole_0 A)) (tptp.v1_finset_1 A))) (exists ((A $$unsorted)) (and (tptp.l3_lattices A) (not (tptp.v3_struct_0 A)) (tptp.v4_lattices A) (tptp.v5_lattices A) (tptp.v6_lattices A) (tptp.v7_lattices A) (tptp.v8_lattices A) (tptp.v9_lattices A) (tptp.v10_lattices A) (tptp.v11_lattices A) (tptp.v12_lattices A) (tptp.v13_lattices A) (tptp.v14_lattices A) (tptp.v15_lattices A) (tptp.v16_lattices A) (tptp.v17_lattices A) (not (tptp.v3_realset2 A)))) (exists ((A $$unsorted)) (and (not (tptp.v1_xboole_0 A)) (tptp.v1_membered A) (tptp.v2_membered A) (tptp.v3_membered A) (tptp.v4_membered A) (tptp.v5_membered 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)) (tptp.v1_finset_1 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)) (tptp.v1_finset_1 B))))) (forall ((A $$unsorted) (B $$unsorted)) (tptp.r1_tarski A A)) (exists ((A $$unsorted)) (tptp.l1_lattices A)) (exists ((A $$unsorted)) (tptp.l1_struct_0 A)) (exists ((A $$unsorted)) (tptp.l2_lattices A)) (forall ((A $$unsorted) (B $$unsorted)) (exists ((C $$unsorted)) (tptp.m1_relset_1 C A B))) (forall ((A $$unsorted) (B $$unsorted)) (exists ((C $$unsorted)) (tptp.m2_relset_1 C A B))) _let_7 (forall ((A $$unsorted)) (=> (tptp.l1_lattices A) (tptp.l1_struct_0 A))) true (forall ((A $$unsorted)) (=> (tptp.l2_lattices A) (tptp.l1_struct_0 A))) true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.m2_relset_1 C A B) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.k2_zfmisc_1 A B))))) (forall ((A $$unsorted)) (=> (tptp.v1_xboole_0 A) (and (tptp.v1_membered A) (tptp.v2_membered A) (tptp.v3_membered A) (tptp.v4_membered A) (tptp.v5_membered A)))) (forall ((A $$unsorted)) (=> (tptp.v1_xboole_0 A) (tptp.v1_finset_1 A))) (forall ((A $$unsorted)) (=> (tptp.v4_finsub_1 A) (and (tptp.v1_finsub_1 A) (tptp.v3_finsub_1 A)))) (forall ((A $$unsorted)) (=> (and (tptp.v1_finsub_1 A) (tptp.v3_finsub_1 A)) (tptp.v4_finsub_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)) (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 $$unsorted)) (let ((_let_1 (tptp.v1_funct_2 C A B))) (let ((_let_2 (tptp.v1_funct_1 C))) (=> (tptp.m1_relset_1 C A B) (=> (and _let_2 _let_1) (and _let_2 (not (tptp.v1_xboole_0 C)) (tptp.v1_partfun1 C A B) _let_1)))))))) (forall ((A $$unsorted)) (let ((_let_1 (not (tptp.v3_struct_0 A)))) (=> (tptp.l3_lattices A) (=> (and _let_1 (tptp.v11_lattices A) (tptp.v15_lattices A) (tptp.v16_lattices A)) (and _let_1 (tptp.v17_lattices A)))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.v10_lattices A))) (let ((_let_2 (not (tptp.v3_struct_0 A)))) (=> (tptp.l3_lattices A) (=> (and _let_2 _let_1 (tptp.v11_lattices A)) (and _let_2 (tptp.v4_lattices A) (tptp.v5_lattices A) (tptp.v6_lattices A) (tptp.v7_lattices A) (tptp.v8_lattices A) (tptp.v9_lattices A) _let_1 (tptp.v12_lattices A))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_struct_0 A)) (not (tptp.v1_xboole_0 (tptp.u1_struct_0 A))))) (forall ((A $$unsorted) (B $$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) (B $$unsorted)) (exists ((C $$unsorted)) (and (tptp.m1_relset_1 C A B) (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)))) (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 $$unsorted)) (=> (tptp.m1_subset_1 A B) (or (tptp.v1_xboole_0 B) (tptp.r2_hidden A B)))) _let_6 (forall ((A $$unsorted)) (=> (tptp.v1_xboole_0 A) (= A tptp.k1_xboole_0))) (forall ((A $$unsorted) (B $$unsorted)) (not (and (tptp.v1_xboole_0 A) (not (= A B)) (tptp.v1_xboole_0 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 $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v10_lattices B) (tptp.v17_lattices B) (not (tptp.v3_realset2 B)) (tptp.l3_lattices B)) (= (tptp.r2_hidden A (tptp.a_1_1_lopclset B)) (exists ((C $$unsorted)) (and (tptp.m1_filter_0 C B) (= A C) (tptp.v1_filter_0 C B)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.r2_hidden A B) (not (tptp.r2_hidden B A)))) (exists ((A $$unsorted)) (tptp.l3_lattices A)) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (exists ((B $$unsorted)) (tptp.m1_filter_0 B A)))) (forall ((A $$unsorted)) (exists ((B $$unsorted)) (tptp.m1_subset_1 B A))) _let_5 _let_4 true true (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v17_lattices A) (not (tptp.v3_realset2 A)) (tptp.l3_lattices A)) (tptp.m1_subset_1 (tptp.k7_lopclset A) (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C A B) (tptp.m1_relset_1 C A B) (tptp.m1_subset_1 D A)) (tptp.m1_subset_1 (tptp.k8_funct_2 A B C D) B))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k8_lopclset A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v17_lattices A) (not (tptp.v3_realset2 A)) (tptp.l3_lattices A)) (and (tptp.v1_relat_1 _let_1) (tptp.v1_funct_1 _let_1))))) _let_3 (forall ((A $$unsorted)) (=> (tptp.l3_lattices A) (and (tptp.l1_lattices A) (tptp.l2_lattices A)))) _let_2 true true (forall ((A $$unsorted)) (let ((_let_1 (not (tptp.v3_struct_0 A)))) (=> (tptp.l3_lattices A) (=> (and _let_1 (tptp.v10_lattices A)) (and _let_1 (tptp.v4_lattices A) (tptp.v5_lattices A) (tptp.v6_lattices A) (tptp.v7_lattices A) (tptp.v8_lattices A) (tptp.v9_lattices A)))))) (forall ((A $$unsorted)) (let ((_let_1 (not (tptp.v3_struct_0 A)))) (=> (tptp.l3_lattices A) (=> (and _let_1 (tptp.v17_lattices A)) (and _let_1 (tptp.v11_lattices A) (tptp.v13_lattices A) (tptp.v14_lattices A) (tptp.v15_lattices A) (tptp.v16_lattices A)))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 A))) (and (not (tptp.v1_xboole_0 _let_1)) (tptp.v1_finsub_1 _let_1) (tptp.v3_finsub_1 _let_1) (tptp.v4_finsub_1 _let_1)))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v17_lattices A) (not (tptp.v3_realset2 A)) (tptp.l3_lattices A)) (not (tptp.v1_xboole_0 (tptp.k7_lopclset 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 (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 $$unsorted)) (not (and (tptp.r2_hidden A B) (tptp.v1_xboole_0 B)))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v17_lattices A) (not (tptp.v3_realset2 A)) (tptp.l3_lattices A)) (= (tptp.k7_lopclset A) (tptp.a_1_1_lopclset A)))) _let_1 true)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.54/0.74 )
% 0.54/0.74 % SZS output end Proof for LAT289+1
% 0.54/0.74 % cvc5---1.0.5 exiting
% 0.54/0.74 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------