TSTP Solution File: LAT345+1 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : LAT345+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n017.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 06:04:15 EDT 2023
% Result : Theorem 2.98s 3.24s
% Output : Proof 2.98s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : LAT345+1 : TPTP v8.1.2. Released v3.4.0.
% 0.00/0.15 % Command : do_cvc5 %s %d
% 0.14/0.37 % Computer : n017.cluster.edu
% 0.14/0.37 % Model : x86_64 x86_64
% 0.14/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.37 % Memory : 8042.1875MB
% 0.14/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.37 % CPULimit : 300
% 0.14/0.37 % WCLimit : 300
% 0.14/0.37 % DateTime : Thu Aug 24 05:25:54 EDT 2023
% 0.14/0.37 % CPUTime :
% 0.21/0.49 %----Proving TF0_NAR, FOF, or CNF
% 2.98/3.24 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.ceMYdkIs3O/cvc5---1.0.5_2800.p...
% 2.98/3.24 ------- get file name : TPTP file name is LAT345+1
% 2.98/3.24 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_2800.smt2...
% 2.98/3.24 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 2.98/3.24 % SZS status Theorem for LAT345+1
% 2.98/3.24 % SZS output start Proof for LAT345+1
% 2.98/3.24 (
% 2.98/3.24 (let ((_let_1 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.m2_relset_1 C A B) (tptp.m1_relset_1 C A B))))) (let ((_let_2 (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_conlat_1 A)) (tptp.l2_conlat_1 A) (not (tptp.v7_conlat_1 B A)) (tptp.v9_conlat_1 B A) (tptp.l3_conlat_1 B A)) (= (tptp.k9_conlat_2 A B) (tptp.k8_conlat_2 A B)))))) (let ((_let_3 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.m1_relset_1 C A B) (= (tptp.k6_relset_1 A B C) (tptp.k4_relat_1 C)))))) (let ((_let_4 (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (= (tptp.k4_relat_1 (tptp.k4_relat_1 A)) A))))) (let ((_let_5 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.m1_relset_1 C A B) (forall ((D $$unsorted) (E $$unsorted) (F $$unsorted)) (=> (= (tptp.g2_conlat_1 A B C) (tptp.g2_conlat_1 D E F)) (and (= A D) (= B E) (= C F)))))))) (let ((_let_6 (forall ((A $$unsorted)) (=> (tptp.l2_conlat_1 A) (tptp.m2_relset_1 (tptp.u3_conlat_1 A) (tptp.u1_conlat_1 A) (tptp.u2_conlat_1 A)))))) (let ((_let_7 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.m2_relset_1 C A B) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.k2_zfmisc_1 A B))))))) (let ((_let_8 (forall ((A $$unsorted)) (=> (tptp.l2_conlat_1 A) (tptp.l1_conlat_1 A))))) (let ((_let_9 (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k7_conlat_2 A))) (let ((_let_2 (tptp.k9_conlat_2 A B))) (=> (and (not (tptp.v3_conlat_1 A)) (tptp.l2_conlat_1 A) (not (tptp.v7_conlat_1 B A)) (tptp.v9_conlat_1 B A) (tptp.l3_conlat_1 B A)) (and (tptp.v6_conlat_1 _let_2 _let_1) (not (tptp.v7_conlat_1 _let_2 _let_1)) (tptp.v9_conlat_1 _let_2 _let_1) (tptp.l3_conlat_1 _let_2 _let_1)))))))) (let ((_let_10 (forall ((A $$unsorted)) (let ((_let_1 (tptp.k7_conlat_2 A))) (=> (and (not (tptp.v3_conlat_1 A)) (tptp.l2_conlat_1 A)) (and (not (tptp.v3_conlat_1 _let_1)) (tptp.v4_conlat_1 _let_1) (tptp.l2_conlat_1 _let_1))))))) (let ((_let_11 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.m1_relset_1 C A B) (tptp.m2_relset_1 (tptp.k6_relset_1 A B C) B A))))) (let ((_let_12 (forall ((A $$unsorted)) (=> (and (not (tptp.v3_conlat_1 A)) (tptp.l2_conlat_1 A)) (forall ((B $$unsorted)) (=> (tptp.l3_conlat_1 B A) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k7_conlat_2 A))) (=> (and (tptp.v6_conlat_1 C _let_1) (tptp.l3_conlat_1 C _let_1)) (= (= C (tptp.k8_conlat_2 A B)) (and (= (tptp.u4_conlat_1 _let_1 C) (tptp.u5_conlat_1 A B)) (= (tptp.u5_conlat_1 _let_1 C) (tptp.u4_conlat_1 A B))))))))))))) (let ((_let_13 (forall ((A $$unsorted)) (let ((_let_1 (tptp.u2_conlat_1 A))) (let ((_let_2 (tptp.u1_conlat_1 A))) (=> (and (not (tptp.v3_conlat_1 A)) (tptp.l2_conlat_1 A)) (= (tptp.k7_conlat_2 A) (tptp.g2_conlat_1 _let_1 _let_2 (tptp.k6_relset_1 _let_2 _let_1 (tptp.u3_conlat_1 A)))))))))) (let ((_let_14 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.k2_zfmisc_1 A B))) (tptp.v1_relat_1 C))))) (let ((_let_15 (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.l1_conlat_1 A) (tptp.l3_conlat_1 B A)) (=> (tptp.v6_conlat_1 B A) (= B (tptp.g3_conlat_1 A (tptp.u4_conlat_1 A B) (tptp.u5_conlat_1 A B)))))))) (let ((_let_16 (forall ((A $$unsorted)) (=> (tptp.l2_conlat_1 A) (=> (tptp.v4_conlat_1 A) (= A (tptp.g2_conlat_1 (tptp.u1_conlat_1 A) (tptp.u2_conlat_1 A) (tptp.u3_conlat_1 A)))))))) (let ((_let_17 (not (forall ((A $$unsorted)) (=> (and (not (tptp.v3_conlat_1 A)) (tptp.v4_conlat_1 A) (tptp.l2_conlat_1 A)) (forall ((B $$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.k9_conlat_2 (tptp.k7_conlat_2 A) (tptp.k9_conlat_2 A B)) B)))))))) (let ((_let_18 (tptp.k9_conlat_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_19 (tptp.k7_conlat_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_20 (tptp.k9_conlat_2 _let_19 _let_18))) (let ((_let_21 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_20))) (let ((_let_22 (tptp.u3_conlat_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_23 (tptp.u2_conlat_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_24 (tptp.u1_conlat_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_25 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 (tptp.g2_conlat_1 _let_24 _let_23 _let_22)))) (let ((_let_26 (tptp.u5_conlat_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_27 (tptp.u4_conlat_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_28 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 (tptp.g3_conlat_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_27 _let_26)))) (let ((_let_29 (tptp.u3_conlat_1 _let_19))) (let ((_let_30 (tptp.u2_conlat_1 _let_19))) (let ((_let_31 (tptp.u1_conlat_1 _let_19))) (let ((_let_32 (tptp.k7_conlat_2 _let_19))) (let ((_let_33 (= _let_32 (tptp.g2_conlat_1 _let_30 _let_31 (tptp.k6_relset_1 _let_31 _let_30 _let_29))))) (let ((_let_34 (tptp.k4_relat_1 _let_22))) (let ((_let_35 (tptp.k6_relset_1 _let_24 _let_23 _let_22))) (let ((_let_36 (= _let_35 _let_34))) (let ((_let_37 (tptp.u4_conlat_1 _let_19 _let_18))) (let ((_let_38 (= _let_26 _let_37))) (let ((_let_39 (tptp.u5_conlat_1 _let_19 _let_18))) (let ((_let_40 (= _let_27 _let_39))) (let ((_let_41 (tptp.u4_conlat_1 _let_32 _let_20))) (let ((_let_42 (= _let_39 _let_41))) (let ((_let_43 (tptp.u5_conlat_1 _let_32 _let_20))) (let ((_let_44 (= _let_37 _let_43))) (let ((_let_45 (= _let_20 (tptp.g3_conlat_1 _let_32 _let_41 _let_43)))) (let ((_let_46 (= _let_22 (tptp.k4_relat_1 _let_34)))) (let ((_let_47 (= (tptp.k6_relset_1 _let_23 _let_24 _let_35) (tptp.k4_relat_1 _let_35)))) (let ((_let_48 (= _let_23 _let_31))) (let ((_let_49 (= _let_24 _let_30))) (let ((_let_50 (= _let_35 _let_29))) (let ((_let_51 (tptp.l3_conlat_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_52 (not _let_51))) (let ((_let_53 (tptp.v9_conlat_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_54 (not _let_53))) (let ((_let_55 (tptp.v7_conlat_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_56 (tptp.v6_conlat_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_57 (not _let_56))) (let ((_let_58 (tptp.l2_conlat_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_59 (not _let_58))) (let ((_let_60 (tptp.v4_conlat_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_61 (not _let_60))) (let ((_let_62 (tptp.v3_conlat_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_63 (or _let_62 _let_61 _let_59 _let_57 _let_55 _let_54 _let_52 _let_21))) (let ((_let_64 (forall ((A $$unsorted) (BOUND_VARIABLE_1311 $$unsorted)) (or (tptp.v3_conlat_1 A) (not (tptp.v4_conlat_1 A)) (not (tptp.l2_conlat_1 A)) (not (tptp.v6_conlat_1 BOUND_VARIABLE_1311 A)) (tptp.v7_conlat_1 BOUND_VARIABLE_1311 A) (not (tptp.v9_conlat_1 BOUND_VARIABLE_1311 A)) (not (tptp.l3_conlat_1 BOUND_VARIABLE_1311 A)) (= BOUND_VARIABLE_1311 (tptp.k9_conlat_2 (tptp.k7_conlat_2 A) (tptp.k9_conlat_2 A BOUND_VARIABLE_1311))))))) (let ((_let_65 (not _let_63))) (let ((_let_66 (EQ_RESOLVE (ASSUME :args (_let_17)) (MACRO_SR_EQ_INTRO :args (_let_17 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_67 (or))) (let ((_let_68 (not _let_64))) (let ((_let_69 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_66) :args (_let_68))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_68) _let_64))) (REFL :args (_let_65)) :args _let_67)) _let_66 :args (_let_65 true _let_64)))) (let ((_let_70 (or _let_59 _let_61 _let_25))) (let ((_let_71 (forall ((A $$unsorted)) (or (not (tptp.l2_conlat_1 A)) (not (tptp.v4_conlat_1 A)) (= A (tptp.g2_conlat_1 (tptp.u1_conlat_1 A) (tptp.u2_conlat_1 A) (tptp.u3_conlat_1 A))))))) (let ((_let_72 (EQ_RESOLVE (ASSUME :args (_let_16)) (MACRO_SR_EQ_INTRO :args (_let_16 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_73 (_let_71))) (let ((_let_74 ((not (= (tptp.l2_conlat_1 A) false))))) (let ((_let_75 (REFL :args (_let_63)))) (let ((_let_76 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_63 2)) (CONG _let_75 (MACRO_SR_PRED_INTRO :args ((= (not _let_59) _let_58))) :args _let_67)) :args ((or _let_58 _let_63))) _let_69 :args (_let_58 true _let_63)))) (let ((_let_77 (tptp.l1_conlat_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_78 (not _let_77))) (let ((_let_79 (or _let_78 _let_52 _let_57 _let_28))) (let ((_let_80 (forall ((A $$unsorted) (B $$unsorted)) (or (not (tptp.l1_conlat_1 A)) (not (tptp.l3_conlat_1 B A)) (not (tptp.v6_conlat_1 B A)) (= B (tptp.g3_conlat_1 A (tptp.u4_conlat_1 A B) (tptp.u5_conlat_1 A B))))))) (let ((_let_81 (EQ_RESOLVE (ASSUME :args (_let_15)) (MACRO_SR_EQ_INTRO :args (_let_15 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_82 (_let_80))) (let ((_let_83 ((not (= (tptp.l3_conlat_1 B A) false))))) (let ((_let_84 (or _let_59 _let_77))) (let ((_let_85 (forall ((A $$unsorted)) (or (not (tptp.l2_conlat_1 A)) (tptp.l1_conlat_1 A))))) (let ((_let_86 (EQ_RESOLVE (ASSUME :args (_let_8)) (MACRO_SR_EQ_INTRO :args (_let_8 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_87 (_let_85))) (let ((_let_88 ((not (= (tptp.l2_conlat_1 A) false))))) (let ((_let_89 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_63 6)) (CONG _let_75 (MACRO_SR_PRED_INTRO :args ((= (not _let_52) _let_51))) :args _let_67)) :args ((or _let_51 _let_63))) _let_69 :args (_let_51 true _let_63)))) (let ((_let_90 (tptp.l2_conlat_1 _let_19))) (let ((_let_91 (not _let_90))) (let ((_let_92 (tptp.v3_conlat_1 _let_19))) (let ((_let_93 (or _let_92 _let_91 _let_33))) (let ((_let_94 (forall ((A $$unsorted)) (let ((_let_1 (tptp.u2_conlat_1 A))) (let ((_let_2 (tptp.u1_conlat_1 A))) (or (tptp.v3_conlat_1 A) (not (tptp.l2_conlat_1 A)) (= (tptp.k7_conlat_2 A) (tptp.g2_conlat_1 _let_1 _let_2 (tptp.k6_relset_1 _let_2 _let_1 (tptp.u3_conlat_1 A)))))))))) (let ((_let_95 (EQ_RESOLVE (ASSUME :args (_let_13)) (MACRO_SR_EQ_INTRO :args (_let_13 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_96 (_let_94))) (let ((_let_97 ((not (= (tptp.v3_conlat_1 A) true))))) (let ((_let_98 (tptp.v4_conlat_1 _let_19))) (let ((_let_99 (not _let_92))) (let ((_let_100 (and _let_99 _let_98 _let_90))) (let ((_let_101 (or _let_62 _let_59 _let_100))) (let ((_let_102 (forall ((A $$unsorted)) (let ((_let_1 (tptp.k7_conlat_2 A))) (or (tptp.v3_conlat_1 A) (not (tptp.l2_conlat_1 A)) (and (not (tptp.v3_conlat_1 _let_1)) (tptp.v4_conlat_1 _let_1) (tptp.l2_conlat_1 _let_1))))))) (let ((_let_103 (EQ_RESOLVE (ASSUME :args (_let_10)) (MACRO_SR_EQ_INTRO :args (_let_10 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_104 (_let_102))) (let ((_let_105 ((tptp.k7_conlat_2 A)))) (let ((_let_106 (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_63 0)) _let_69 :args ((not _let_62) true _let_63)))) (let ((_let_107 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_101)) :args ((or _let_62 _let_59 _let_100 (not _let_101)))) _let_106 _let_76 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_103 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_105)) :args _let_104)) _let_103 :args (_let_101 false _let_102)) :args (_let_100 true _let_62 false _let_58 false _let_101)))) (let ((_let_108 (not _let_100))) (let ((_let_109 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_100 2)) :args ((or _let_90 _let_108))) _let_107 :args (_let_90 false _let_100)))) (let ((_let_110 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_100 0)) :args ((or _let_99 _let_108))) _let_107 :args (_let_99 false _let_100)))) (let ((_let_111 (tptp.m1_relset_1 _let_22 _let_24 _let_23))) (let ((_let_112 (not _let_111))) (let ((_let_113 (or _let_112 _let_36))) (let ((_let_114 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (tptp.m1_relset_1 C A B)) (= (tptp.k6_relset_1 A B C) (tptp.k4_relat_1 C)))))) (let ((_let_115 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_116 (_let_114))) (let ((_let_117 (tptp.m2_relset_1 _let_22 _let_24 _let_23))) (let ((_let_118 (= _let_117 _let_111))) (let ((_let_119 (_let_1))) (let ((_let_120 (ASSUME :args _let_119))) (let ((_let_121 ((tptp.m2_relset_1 C A B)))) (let ((_let_122 (or _let_59 _let_117))) (let ((_let_123 (forall ((A $$unsorted)) (or (not (tptp.l2_conlat_1 A)) (tptp.m2_relset_1 (tptp.u3_conlat_1 A) (tptp.u1_conlat_1 A) (tptp.u2_conlat_1 A)))))) (let ((_let_124 (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_125 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_122)) :args ((or _let_59 _let_117 (not _let_122)))) _let_76 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_124 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.l2_conlat_1 A) false))))) :args (_let_123))) _let_124 :args (_let_122 false _let_123)) :args (_let_117 false _let_58 false _let_122)))) (let ((_let_126 (not _let_117))) (let ((_let_127 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_118)) :args ((or _let_126 _let_111 (not _let_118)))) _let_125 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_120 :args (_let_24 _let_23 _let_22 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_121)) :args _let_119)) _let_120 :args (_let_118 false _let_1)) :args (_let_111 false _let_117 false _let_118)))) (let ((_let_128 (and _let_38 _let_40))) (let ((_let_129 (= _let_18 (tptp.k8_conlat_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)))) (let ((_let_130 (= _let_129 _let_128))) (let ((_let_131 (tptp.l3_conlat_1 _let_18 _let_19))) (let ((_let_132 (not _let_131))) (let ((_let_133 (tptp.v6_conlat_1 _let_18 _let_19))) (let ((_let_134 (not _let_133))) (let ((_let_135 (or _let_62 _let_59 _let_52 _let_134 _let_132 _let_130))) (let ((_let_136 (forall ((A $$unsorted) (BOUND_VARIABLE_1428 $$unsorted) (BOUND_VARIABLE_1426 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(MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_86 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_88)) :args _let_87)) _let_86 :args (_let_84 false _let_85)) :args (_let_77 false _let_58 false _let_84)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_81 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_83)) :args _let_82)) _let_81 :args (_let_79 false _let_80)) :args (_let_28 false _let_56 false _let_51 false _let_77 false _let_79)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_70)) :args ((or _let_61 _let_59 _let_25 (not _let_70)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_63 1)) (CONG _let_75 (MACRO_SR_PRED_INTRO :args ((= (not _let_61) _let_60))) :args _let_67)) :args ((or _let_60 _let_63))) _let_69 :args (_let_60 true _let_63)) _let_76 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_72 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_74)) :args _let_73)) _let_72 :args (_let_70 false _let_71)) :args (_let_25 false _let_60 false _let_58 false _let_70)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_63 7)) _let_69 :args ((not _let_21) true _let_63)) :args (false false _let_50 false _let_49 false _let_48 false _let_47 false _let_46 false _let_45 false _let_44 false _let_42 false _let_40 false _let_38 false _let_36 false _let_33 false _let_28 false _let_25 true _let_21)) :args (_let_17 _let_16 _let_15 (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.r2_hidden A B) (not (tptp.r2_hidden B A)))) _let_14 (forall ((A $$unsorted)) (=> (and (tptp.v3_conlat_1 A) (tptp.l1_conlat_1 A)) (forall ((B $$unsorted)) (=> (tptp.l3_conlat_1 B A) (tptp.v8_conlat_1 B A))))) _let_13 _let_12 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.g2_conlat_1 A B C))) (=> (tptp.m1_relset_1 C A B) (and (tptp.v4_conlat_1 _let_1) (tptp.l2_conlat_1 _let_1))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.g3_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))))) true true true (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (tptp.v1_relat_1 (tptp.k4_relat_1 A)))) _let_11 _let_10 (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k7_conlat_2 A))) (let ((_let_2 (tptp.k8_conlat_2 A B))) (=> (and (not (tptp.v3_conlat_1 A)) (tptp.l2_conlat_1 A) (tptp.l3_conlat_1 B A)) (and (tptp.v6_conlat_1 _let_2 _let_1) (tptp.l3_conlat_1 _let_2 _let_1)))))) _let_9 true _let_8 true true true _let_7 true true _let_6 (forall ((A $$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 $$unsorted)) (tptp.l2_conlat_1 A)) (forall ((A $$unsorted)) (=> (tptp.l1_conlat_1 A) (exists ((B $$unsorted)) (tptp.l3_conlat_1 B A)))) (forall ((A $$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))))) (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 $$unsorted) (B $$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_5 (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)))))) _let_4 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.m1_relset_1 C A B) (= (tptp.k6_relset_1 A B (tptp.k6_relset_1 A B C)) C))) (forall ((A $$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 $$unsorted)) (and (tptp.l3_conlat_1 B A) (tptp.v6_conlat_1 B A) (not (tptp.v7_conlat_1 B A)))))) (forall ((A $$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)) (=> (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 $$unsorted)) (exists ((B $$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.l2_conlat_1 A) (tptp.v4_conlat_1 A))) (exists ((A $$unsorted)) (and (tptp.l2_conlat_1 A) (not (tptp.v3_conlat_1 A)) (tptp.v4_conlat_1 A))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_conlat_1 A)) (tptp.l1_conlat_1 A)) (exists ((B $$unsorted)) (and (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_conlat_1 A))) (not (tptp.v1_xboole_0 B)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_conlat_1 A)) (tptp.l1_conlat_1 A)) (exists ((B $$unsorted)) (and (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u2_conlat_1 A))) (not (tptp.v1_xboole_0 B)))))) _let_3 _let_2 _let_1 (forall ((A $$unsorted) (B $$unsorted)) (tptp.r1_tarski A A)) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.r2_hidden A B) (tptp.m1_subset_1 A B))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 A B) (or (tptp.v1_xboole_0 B) (tptp.r2_hidden A B)))) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.m1_subset_1 A (tptp.k1_zfmisc_1 B)) (tptp.r1_tarski A B))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.r2_hidden A B) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 C))) (tptp.m1_subset_1 A C))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (not (and (tptp.r2_hidden A B) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 C)) (tptp.v1_xboole_0 C)))) (forall ((A $$unsorted)) (=> (tptp.v1_xboole_0 A) (= A tptp.k1_xboole_0))) (forall ((A $$unsorted) (B $$unsorted)) (not (and (tptp.r2_hidden A B) (tptp.v1_xboole_0 B)))) (forall ((A $$unsorted) (B $$unsorted)) (not (and (tptp.v1_xboole_0 A) (not (= A B)) (tptp.v1_xboole_0 B)))) true)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 2.98/3.25 )
% 2.98/3.25 % SZS output end Proof for LAT345+1
% 2.98/3.25 % cvc5---1.0.5 exiting
% 2.98/3.25 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------