TSTP Solution File: LAT359+1 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : LAT359+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n021.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 06:04:23 EDT 2023
% Result : Theorem 25.48s 25.78s
% Output : Proof 25.48s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.14 % Problem : LAT359+1 : TPTP v8.1.2. Released v3.4.0.
% 0.13/0.15 % Command : do_cvc5 %s %d
% 0.14/0.36 % Computer : n021.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Thu Aug 24 04:28:24 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.21/0.51 %----Proving TF0_NAR, FOF, or CNF
% 25.48/25.78 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.xdzGFv34Hn/cvc5---1.0.5_4538.p...
% 25.48/25.78 ------- get file name : TPTP file name is LAT359+1
% 25.48/25.78 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_4538.smt2...
% 25.48/25.78 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 25.48/25.78 --- Run --no-e-matching --full-saturate-quant at 5...
% 25.48/25.78 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 5...
% 25.48/25.78 --- Run --finite-model-find --uf-ss=no-minimal at 5...
% 25.48/25.78 --- Run --multi-trigger-when-single --full-saturate-quant at 5...
% 25.48/25.78 % SZS status Theorem for LAT359+1
% 25.48/25.78 % SZS output start Proof for LAT359+1
% 25.48/25.78 (
% 25.48/25.78 (let ((_let_1 (forall ((A $$unsorted) (B $$unsorted)) (not (and (tptp.r2_hidden A B) (tptp.v1_xboole_0 B)))))) (let ((_let_2 (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.r2_hidden A B) (tptp.m1_subset_1 A B))))) (let ((_let_3 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (= (tptp.r2_hidden (tptp.k4_tarski A B) (tptp.k2_zfmisc_1 C D)) (and (tptp.r2_hidden A C) (tptp.r2_hidden B D)))))) (let ((_let_4 (tptp.v1_xboole_0 tptp.k1_xboole_0))) (let ((_let_5 (and _let_4 (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)))) (let ((_let_6 (forall ((A $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.l1_altcat_1 A) (tptp.m1_pboole (tptp.u1_altcat_1 A) (tptp.k2_zfmisc_1 _let_1 _let_1))))))) (let ((_let_7 (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)))))) (let ((_let_8 (forall ((A $$unsorted)) (=> (tptp.l2_altcat_1 A) (tptp.l1_altcat_1 A))))) (let ((_let_9 (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted) (C $$unsorted)) (let ((_let_1 (= C (tptp.k1_funct_1 A B)))) (let ((_let_2 (tptp.r2_hidden B (tptp.k1_relat_1 A)))) (and (=> _let_2 (= _let_1 (tptp.r2_hidden (tptp.k4_tarski B C) A))) (=> (not _let_2) (= _let_1 (= C tptp.k1_xboole_0))))))))))) (let ((_let_10 (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (= (tptp.m1_pboole B A) (= (tptp.k1_relat_1 B) A)))))) (let ((_let_11 (forall ((A $$unsorted)) (=> (tptp.l1_altcat_1 A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (tptp.k1_altcat_1 A B C) (tptp.k1_binop_1 (tptp.u1_altcat_1 A) B C)))))))))) (let ((_let_12 (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted) (C $$unsorted)) (= (tptp.k1_binop_1 A B C) (tptp.k1_funct_1 A (tptp.k4_tarski B C)))))))) (let ((_let_13 (not (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l2_altcat_1 A)) (forall ((B $$unsorted) (C $$unsorted) (D $$unsorted)) (not (and (tptp.r2_hidden D (tptp.k1_binop_1 (tptp.u1_altcat_1 A) B C)) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.u1_struct_0 A)) (forall ((F $$unsorted)) (let ((_let_1 (tptp.k1_altcat_1 A E F))) (=> (tptp.m1_subset_1 F (tptp.u1_struct_0 A)) (not (and (= E B) (= F C) (tptp.r2_hidden D _let_1) (tptp.m1_subset_1 D _let_1)))))))))))))))) (let ((_let_14 (tptp.k1_altcat_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_15 (tptp.m1_subset_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_14))) (let ((_let_16 (tptp.r2_hidden SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_14))) (let ((_let_17 (tptp.u1_struct_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_18 (tptp.m1_subset_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 _let_17))) (let ((_let_19 (tptp.m1_subset_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_17))) (let ((_let_20 (and _let_19 _let_18 _let_16 _let_15))) (let ((_let_21 (tptp.u1_altcat_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_22 (tptp.k1_binop_1 _let_21 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_23 (tptp.r2_hidden SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_22))) (let ((_let_24 (not _let_23))) (let ((_let_25 (tptp.l2_altcat_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_26 (not _let_25))) (let ((_let_27 (or (tptp.v3_struct_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2) _let_26 _let_24 _let_20))) (let ((_let_28 (forall ((A $$unsorted) (BOUND_VARIABLE_1302 $$unsorted) (BOUND_VARIABLE_1300 $$unsorted) (BOUND_VARIABLE_1298 $$unsorted)) (let ((_let_1 (tptp.k1_altcat_1 A BOUND_VARIABLE_1298 BOUND_VARIABLE_1300))) (let ((_let_2 (tptp.u1_struct_0 A))) (or (tptp.v3_struct_0 A) (not (tptp.l2_altcat_1 A)) (not (tptp.r2_hidden BOUND_VARIABLE_1302 (tptp.k1_binop_1 (tptp.u1_altcat_1 A) BOUND_VARIABLE_1298 BOUND_VARIABLE_1300))) (and (tptp.m1_subset_1 BOUND_VARIABLE_1300 _let_2) (tptp.m1_subset_1 BOUND_VARIABLE_1298 _let_2) (tptp.r2_hidden BOUND_VARIABLE_1302 _let_1) (tptp.m1_subset_1 BOUND_VARIABLE_1302 _let_1)))))))) (let ((_let_29 (not _let_27))) (let ((_let_30 (EQ_RESOLVE (ASSUME :args (_let_13)) (MACRO_SR_EQ_INTRO :args (_let_13 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_31 (or))) (let ((_let_32 (not _let_28))) (let ((_let_33 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_30) :args (_let_32))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_32) _let_28))) (REFL :args (_let_29)) :args _let_31)) _let_30 :args (_let_29 true _let_28)))) (let ((_let_34 (tptp.r2_hidden SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_17))) (let ((_let_35 (not _let_34))) (let ((_let_36 (or _let_35 _let_19))) (let ((_let_37 (forall ((A $$unsorted) (B $$unsorted)) (or (not (tptp.r2_hidden A B)) (tptp.m1_subset_1 A B))))) (let ((_let_38 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_39 (_let_37))) (let ((_let_40 ((not (= (tptp.m1_subset_1 A B) true))))) (let ((_let_41 (tptp.r2_hidden SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 _let_17))) (let ((_let_42 (and _let_41 _let_34))) (let ((_let_43 (tptp.k2_zfmisc_1 _let_17 _let_17))) (let ((_let_44 (tptp.k4_tarski SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_45 (tptp.r2_hidden _let_44 _let_43))) (let ((_let_46 (= _let_45 _let_42))) (let ((_let_47 (_let_3))) (let ((_let_48 (ASSUME :args _let_47))) (let ((_let_49 (tptp.k1_relat_1 _let_21))) (let ((_let_50 (tptp.r2_hidden _let_44 _let_49))) (let ((_let_51 (= _let_43 _let_49))) (let ((_let_52 (tptp.k1_funct_1 _let_21 _let_44))) (let ((_let_53 (= tptp.k1_xboole_0 _let_52))) (let ((_let_54 (or _let_50 _let_53))) (let ((_let_55 (and (or (not (tptp.r2_hidden tptp.k1_xboole_0 _let_49)) (= (= tptp.k1_xboole_0 (tptp.k1_funct_1 _let_21 tptp.k1_xboole_0)) (tptp.r2_hidden (tptp.k4_tarski tptp.k1_xboole_0 tptp.k1_xboole_0) _let_21))) _let_54))) (let ((_let_56 (tptp.v1_funct_1 _let_21))) (let ((_let_57 (not _let_56))) (let ((_let_58 (tptp.v1_relat_1 _let_21))) (let ((_let_59 (not _let_58))) (let ((_let_60 (or _let_59 _let_57 _let_55))) (let ((_let_61 (forall ((A $$unsorted) (BOUND_VARIABLE_1629 $$unsorted) (BOUND_VARIABLE_1627 $$unsorted) (BOUND_VARIABLE_1617 $$unsorted) (BOUND_VARIABLE_1615 $$unsorted)) (let ((_let_1 (tptp.k1_relat_1 A))) (or (not (tptp.v1_relat_1 A)) (not (tptp.v1_funct_1 A)) (and (or (not (tptp.r2_hidden BOUND_VARIABLE_1615 _let_1)) (= (= BOUND_VARIABLE_1617 (tptp.k1_funct_1 A BOUND_VARIABLE_1615)) (tptp.r2_hidden (tptp.k4_tarski BOUND_VARIABLE_1615 BOUND_VARIABLE_1617) A))) (or (tptp.r2_hidden BOUND_VARIABLE_1627 _let_1) (= (= BOUND_VARIABLE_1629 (tptp.k1_funct_1 A BOUND_VARIABLE_1627)) (= tptp.k1_xboole_0 BOUND_VARIABLE_1629))))))))) (let ((_let_62 (EQ_RESOLVE (ASSUME :args (_let_9)) (MACRO_SR_EQ_INTRO :args (_let_9 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_63 (and _let_58 _let_56))) (let ((_let_64 (tptp.m1_pboole _let_21 _let_43))) (let ((_let_65 (not _let_64))) (let ((_let_66 (or _let_65 _let_63))) (let ((_let_67 (forall ((A $$unsorted) (B $$unsorted)) (or (not (tptp.m1_pboole B A)) (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)))))) (let ((_let_68 (EQ_RESOLVE (ASSUME :args (_let_7)) (MACRO_SR_EQ_INTRO :args (_let_7 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_69 (tptp.l1_altcat_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_70 (not _let_69))) (let ((_let_71 (or _let_70 _let_64))) (let ((_let_72 (forall ((A $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (or (not (tptp.l1_altcat_1 A)) (tptp.m1_pboole (tptp.u1_altcat_1 A) (tptp.k2_zfmisc_1 _let_1 _let_1))))))) (let ((_let_73 (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_74 (or _let_26 _let_69))) (let ((_let_75 (forall ((A $$unsorted)) (or (not (tptp.l2_altcat_1 A)) (tptp.l1_altcat_1 A))))) (let ((_let_76 (EQ_RESOLVE (ASSUME :args (_let_8)) (MACRO_SR_EQ_INTRO :args (_let_8 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_77 (REFL :args (_let_27)))) (let ((_let_78 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_74)) :args ((or _let_26 _let_69 (not _let_74)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_27 1)) (CONG _let_77 (MACRO_SR_PRED_INTRO :args ((= (not _let_26) _let_25))) :args _let_31)) :args ((or _let_25 _let_27))) _let_33 :args (_let_25 true _let_27)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_76 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.l2_altcat_1 A) false))))) :args (_let_75))) _let_76 :args (_let_74 false _let_75)) :args (_let_69 false _let_25 false _let_74)))) (let ((_let_79 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_71)) :args ((or _let_70 _let_64 (not _let_71)))) _let_78 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_73 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.u1_altcat_1 A)))) :args (_let_72))) _let_73 :args (_let_71 false _let_72)) :args (_let_64 false _let_69 false _let_71)))) (let ((_let_80 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_66)) :args ((or _let_65 _let_63 (not _let_66)))) _let_79 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_68 :args (_let_43 _let_21 QUANTIFIERS_INST_CBQI_CONFLICT)) :args (_let_67))) _let_68 :args (_let_66 false _let_67)) :args (_let_63 false _let_64 false _let_66)))) (let ((_let_81 (not _let_63))) (let ((_let_82 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_63 1)) :args ((or _let_56 _let_81))) _let_80 :args (_let_56 false _let_63)))) (let ((_let_83 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_63 0)) :args ((or _let_58 _let_81))) _let_80 :args (_let_58 false _let_63)))) (let ((_let_84 (= _let_22 _let_52))) (let ((_let_85 (tptp.v1_xboole_0 _let_22))) (let ((_let_86 (not _let_53))) (let ((_let_87 (or _let_59 _let_57 _let_84))) (let ((_let_88 (forall ((A $$unsorted) (BOUND_VARIABLE_1506 $$unsorted) (BOUND_VARIABLE_1504 $$unsorted)) (or (not (tptp.v1_relat_1 A)) (not (tptp.v1_funct_1 A)) (= (tptp.k1_binop_1 A BOUND_VARIABLE_1504 BOUND_VARIABLE_1506) (tptp.k1_funct_1 A (tptp.k4_tarski BOUND_VARIABLE_1504 BOUND_VARIABLE_1506))))))) (let ((_let_89 (EQ_RESOLVE (ASSUME :args (_let_12)) (MACRO_SR_EQ_INTRO :args (_let_12 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_90 (not _let_85))) (let ((_let_91 (or _let_24 _let_90))) (let ((_let_92 (forall ((A $$unsorted) (B $$unsorted)) (or (not (tptp.r2_hidden A B)) (not (tptp.v1_xboole_0 B)))))) (let ((_let_93 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_94 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_27 2)) (CONG _let_77 (MACRO_SR_PRED_INTRO :args ((= (not _let_24) _let_23))) :args _let_31)) :args ((or _let_23 _let_27))) _let_33 :args (_let_23 true _let_27)))) (let ((_let_95 (not _let_84))) (let ((_let_96 (not _let_4))) (let ((_let_97 (ASSUME :args (_let_4)))) (let ((_let_98 (ASSUME :args (_let_53)))) (let ((_let_99 (ASSUME :args (_let_84)))) (let ((_let_100 (ASSUME :args (_let_90)))) (let ((_let_101 (= _let_64 _let_51))) (let ((_let_102 (or _let_59 _let_57 _let_101))) (let ((_let_103 (forall ((A $$unsorted) (B $$unsorted)) (or (not (tptp.v1_relat_1 B)) (not (tptp.v1_funct_1 B)) (= (tptp.m1_pboole B A) (= A (tptp.k1_relat_1 B))))))) (let ((_let_104 (EQ_RESOLVE (ASSUME :args (_let_10)) (MACRO_SR_EQ_INTRO :args (_let_10 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_105 (and _let_51 _let_50))) (let ((_let_106 (ASSUME :args (_let_50)))) (let ((_let_107 (APPLY_UF tptp.r2_hidden))) (let ((_let_108 (ASSUME :args (_let_51)))) (let ((_let_109 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_46)) :args ((or _let_42 (not _let_45) (not _let_46)))) (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_105)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_106 _let_108) (SCOPE (TRUE_ELIM (TRANS (CONG (REFL :args (_let_44)) (SYMM (SYMM _let_108)) :args _let_107) (TRUE_INTRO _let_106))) :args (_let_50 _let_51))) :args (_let_51 _let_50))) :args (true _let_105)) :args ((or _let_45 (not _let_51) (not _let_50)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_101)) :args ((or _let_65 _let_51 (not _let_101)))) _let_79 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_102)) :args ((or _let_59 _let_57 _let_101 (not _let_102)))) _let_83 _let_82 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_104 :args (_let_43 _let_21 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.m1_pboole B A)))) :args (_let_103))) _let_104 :args (_let_102 false _let_103)) :args (_let_101 false _let_58 false _let_56 false _let_102)) :args (_let_51 false _let_64 false _let_101)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_54)) :args ((or _let_50 _let_53 (not _let_54)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_97 _let_98 _let_99 _let_100) :args (_let_4 _let_84 _let_90 _let_53)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (FALSE_INTRO _let_100)) (CONG (TRANS (SYMM (SYMM _let_99)) (SYMM _let_98)) :args (APPLY_UF tptp.v1_xboole_0)) (TRUE_INTRO _let_97))) :args (_let_4 _let_53 _let_84 _let_90)) :args ((not (and _let_4 _let_84 _let_90 _let_53)) SB_LITERAL))) (CONG (REFL :args (_let_96)) (REFL :args (_let_95)) (MACRO_SR_PRED_INTRO :args ((= (not _let_90) _let_85))) (REFL :args (_let_86)) :args _let_31)) :args ((or _let_96 _let_85 _let_95 _let_86))) (AND_ELIM (ASSUME :args (_let_5)) :args (0)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_91)) :args ((or _let_24 _let_90 (not _let_91)))) _let_94 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_93 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_22 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.r2_hidden A B) false))))) :args (_let_92))) _let_93 :args (_let_91 false _let_92)) :args (_let_90 false _let_23 false _let_91)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_87)) :args ((or _let_59 _let_57 _let_84 (not _let_87)))) _let_83 _let_82 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_89 :args (_let_21 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.k1_binop_1 A BOUND_VARIABLE_1504 BOUND_VARIABLE_1506)))) :args (_let_88))) _let_89 :args (_let_87 false _let_88)) :args (_let_84 false _let_58 false _let_56 false _let_87)) :args (_let_86 false _let_4 true _let_85 false _let_84)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_55 1)) :args ((or _let_54 (not _let_55)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_60)) :args ((or _let_59 _let_57 _let_55 (not _let_60)))) _let_83 _let_82 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_62 :args (_let_21 _let_52 _let_44 tptp.k1_xboole_0 tptp.k1_xboole_0 QUANTIFIERS_INST_CBQI_PROP)) :args (_let_61)))) _let_62 :args (_let_60 false _let_61)) :args (_let_55 false _let_58 false _let_56 false _let_60)) :args (_let_54 false _let_55)) :args (_let_50 true _let_53 false _let_54)) :args (_let_45 false _let_51 false _let_50)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_48 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_17 _let_17 QUANTIFIERS_INST_E_MATCHING ((tptp.k4_tarski A B) (tptp.k2_zfmisc_1 C D)))) :args _let_47)) _let_48 :args (_let_46 false _let_3)) :args (_let_42 false _let_45 false _let_46)))) (let ((_let_110 (not _let_42))) (let ((_let_111 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_36)) :args ((or _let_19 _let_35 (not _let_36)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_42 1)) :args ((or _let_34 _let_110))) _let_109 :args (_let_34 false _let_42)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_38 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_17 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_40)) :args _let_39)) _let_38 :args (_let_36 false _let_37)) :args (_let_19 false _let_34 false _let_36)))) (let ((_let_112 (not _let_41))) (let ((_let_113 (or _let_112 _let_18))) (let ((_let_114 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_113)) :args ((or _let_18 _let_112 (not _let_113)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_42 0)) :args ((or _let_41 _let_110))) _let_109 :args (_let_41 false _let_42)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_38 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 _let_17 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_40)) :args _let_39)) _let_38 :args (_let_113 false _let_37)) :args (_let_18 false _let_41 false _let_113)))) (let ((_let_115 (= _let_22 _let_14))) (let ((_let_116 (tptp.m1_subset_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_22))) (let ((_let_117 (not _let_19))) (let ((_let_118 (not _let_18))) (let ((_let_119 (or _let_70 _let_118 _let_117 _let_115))) (let ((_let_120 (forall ((A $$unsorted) (BOUND_VARIABLE_1544 $$unsorted) (BOUND_VARIABLE_1542 $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (or (not (tptp.l1_altcat_1 A)) (not (tptp.m1_subset_1 BOUND_VARIABLE_1542 _let_1)) (not (tptp.m1_subset_1 BOUND_VARIABLE_1544 _let_1)) (= (tptp.k1_altcat_1 A BOUND_VARIABLE_1542 BOUND_VARIABLE_1544) (tptp.k1_binop_1 (tptp.u1_altcat_1 A) BOUND_VARIABLE_1542 BOUND_VARIABLE_1544))))))) (let ((_let_121 (EQ_RESOLVE (ASSUME :args (_let_11)) (MACRO_SR_EQ_INTRO :args (_let_11 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_122 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_119)) :args ((or _let_117 _let_118 _let_70 _let_115 (not _let_119)))) _let_111 _let_114 _let_78 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_121 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_CBQI_PROP)) :args (_let_120)))) _let_121 :args (_let_119 false _let_120)) :args (_let_115 false _let_19 false _let_18 false _let_69 false _let_119)))) (let ((_let_123 (or _let_24 _let_116))) (let ((_let_124 (not _let_115))) (let ((_let_125 (and _let_116 _let_115))) (let ((_let_126 (_let_116 _let_115))) (let ((_let_127 (ASSUME :args (_let_116)))) (let ((_let_128 (ASSUME :args (_let_115)))) (let ((_let_129 (SYMM _let_128))) (let ((_let_130 (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)))) (let ((_let_131 (and _let_23 _let_115))) (let ((_let_132 (_let_23 _let_115))) (let ((_let_133 (ASSUME :args (_let_23)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (CNF_AND_NEG :args (_let_20)) (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_131)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_133 _let_128) (SCOPE (TRUE_ELIM (TRANS (CONG _let_130 _let_129 :args _let_107) (TRUE_INTRO _let_133))) :args _let_132)) :args _let_132)) :args (true _let_131)) :args ((or _let_24 _let_16 _let_124))) _let_94 _let_122 :args (_let_16 false _let_23 false _let_115)) (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_125)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_127 _let_128) (SCOPE (TRUE_ELIM (TRANS (CONG _let_130 _let_129 :args (APPLY_UF tptp.m1_subset_1)) (TRUE_INTRO _let_127))) :args _let_126)) :args _let_126)) :args (true _let_125)) :args ((or _let_15 (not _let_116) _let_124))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_123)) :args ((or _let_24 _let_116 (not _let_123)))) _let_94 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_38 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_22 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.r2_hidden A B) false))))) :args _let_39)) _let_38 :args (_let_123 false _let_37)) :args (_let_116 false _let_23 false _let_123)) _let_122 :args (_let_15 false _let_116 false _let_115)) _let_114 _let_111 (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_27 3)) _let_33 :args ((not _let_20) true _let_27)) :args (false false _let_16 false _let_15 false _let_18 false _let_19 true _let_20)) :args (_let_13 (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.r2_hidden A B) (not (tptp.r2_hidden B A)))) (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 $$unsorted)) (=> (tptp.v1_xboole_0 A) (and (tptp.v1_membered A) (tptp.v2_membered A) (tptp.v3_membered A) (tptp.v4_membered A) (tptp.v5_membered A)))) (forall ((A $$unsorted)) (=> (tptp.v1_xboole_0 A) (tptp.v1_finset_1 A))) (forall ((A $$unsorted)) (=> (tptp.v1_xboole_0 A) (tptp.v1_funct_1 A))) (forall ((A $$unsorted)) (=> (tptp.v5_membered A) (tptp.v4_membered A))) (forall ((A $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v1_setfam_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B A) (not (tptp.v1_xboole_0 B)))))) (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)) (=> (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)) (= (tptp.k2_tarski A B) (tptp.k2_tarski B A))) _let_12 _let_11 _let_10 _let_9 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.k4_tarski A B) (tptp.k2_tarski (tptp.k2_tarski A B) (tptp.k1_tarski A)))) true true true true true true true true true (forall ((A $$unsorted)) (=> (tptp.l1_altcat_1 A) (tptp.l1_struct_0 A))) true _let_8 _let_7 true _let_6 true (exists ((A $$unsorted)) (tptp.l1_altcat_1 A)) (exists ((A $$unsorted)) (tptp.l1_struct_0 A)) (exists ((A $$unsorted)) (tptp.l2_altcat_1 A)) (forall ((A $$unsorted)) (exists ((B $$unsorted)) (tptp.m1_pboole B A))) (forall ((A $$unsorted)) (exists ((B $$unsorted)) (tptp.m1_subset_1 B A))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k1_tarski A))) (=> (tptp.v1_int_1 A) (and (tptp.v1_membered _let_1) (tptp.v2_membered _let_1) (tptp.v3_membered _let_1) (tptp.v4_membered _let_1))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k1_tarski A))) (=> (tptp.v4_ordinal2 A) (and (tptp.v1_membered _let_1) (tptp.v2_membered _let_1) (tptp.v3_membered _let_1) (tptp.v4_membered _let_1) (tptp.v5_membered _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_xcmplx_0 A) (tptp.v1_xcmplx_0 B)) (tptp.v1_membered (tptp.k2_tarski A B)))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k2_tarski A B))) (=> (and (tptp.v1_xreal_0 A) (tptp.v1_xreal_0 B)) (and (tptp.v1_membered _let_1) (tptp.v2_membered _let_1))))) (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)))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k2_tarski A B))) (=> (and (tptp.v1_rat_1 A) (tptp.v1_rat_1 B)) (and (tptp.v1_membered _let_1) (tptp.v2_membered _let_1) (tptp.v3_membered _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k2_tarski A B))) (=> (and (tptp.v1_int_1 A) (tptp.v1_int_1 B)) (and (tptp.v1_membered _let_1) (tptp.v2_membered _let_1) (tptp.v3_membered _let_1) (tptp.v4_membered _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k2_tarski A B))) (=> (and (tptp.v4_ordinal2 A) (tptp.v4_ordinal2 B)) (and (tptp.v1_membered _let_1) (tptp.v2_membered _let_1) (tptp.v3_membered _let_1) (tptp.v4_membered _let_1) (tptp.v5_membered _let_1))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k1_tarski A))) (and (not (tptp.v1_xboole_0 _let_1)) (tptp.v1_finset_1 _let_1)))) (forall ((A $$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)) (let ((_let_1 (tptp.k2_tarski A B))) (and (not (tptp.v1_xboole_0 _let_1)) (tptp.v1_finset_1 _let_1)))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k1_tarski A))) (=> (not (tptp.v1_xboole_0 A)) (and (not (tptp.v1_xboole_0 _let_1)) (tptp.v1_setfam_1 _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k2_tarski A B))) (=> (and (not (tptp.v1_xboole_0 A)) (not (tptp.v1_xboole_0 B))) (and (not (tptp.v1_xboole_0 _let_1)) (tptp.v1_setfam_1 _let_1))))) _let_5 (forall ((A $$unsorted)) (=> (tptp.v1_xcmplx_0 A) (tptp.v1_membered (tptp.k1_tarski A)))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k1_tarski A))) (=> (tptp.v1_xreal_0 A) (and (tptp.v1_membered _let_1) (tptp.v2_membered _let_1))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k1_tarski A))) (=> (tptp.v1_rat_1 A) (and (tptp.v1_membered _let_1) (tptp.v2_membered _let_1) (tptp.v3_membered _let_1))))) (exists ((A $$unsorted)) (and (not (tptp.v1_xboole_0 A)) (tptp.v1_finset_1 A))) (exists ((A $$unsorted)) (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A))) (exists ((A $$unsorted)) (and (not (tptp.v1_xboole_0 A)) (tptp.v1_membered A) (tptp.v2_membered A) (tptp.v3_membered A) (tptp.v4_membered A) (tptp.v5_membered A))) (exists ((A $$unsorted)) (and (not (tptp.v1_xboole_0 A)) (tptp.v1_setfam_1 A))) (exists ((A $$unsorted)) (and (tptp.v1_relat_1 A) (tptp.v1_xboole_0 A) (tptp.v1_funct_1 A))) (exists ((A $$unsorted)) (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v2_funct_1 A))) (exists ((A $$unsorted)) (and (tptp.l1_struct_0 A) (not (tptp.v3_struct_0 A)))) _let_3 _let_2 (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 A B) (or (tptp.v1_xboole_0 B) (tptp.r2_hidden A B)))) (forall ((A $$unsorted)) (=> (tptp.v1_xboole_0 A) (= A tptp.k1_xboole_0))) _let_1 (forall ((A $$unsorted) (B $$unsorted)) (not (and (tptp.v1_xboole_0 A) (not (= A B)) (tptp.v1_xboole_0 B)))) true))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 25.48/25.78 )
% 25.48/25.78 % SZS output end Proof for LAT359+1
% 25.48/25.78 % cvc5---1.0.5 exiting
% 25.48/25.79 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------